From 3bb9dc0307966417a84b0a63e2e7323a5da6bdbd Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 14 Mar 2011 09:36:26 +0000 Subject: re-import ltm-0.39, with original RCS-ID's --- libtommath/bn_error.c | 8 ++++---- libtommath/bn_fast_mp_invmod.c | 8 ++++---- libtommath/bn_fast_mp_montgomery_reduce.c | 8 ++++---- libtommath/bn_fast_s_mp_mul_digs.c | 8 ++++---- libtommath/bn_fast_s_mp_mul_high_digs.c | 8 ++++---- libtommath/bn_fast_s_mp_sqr.c | 8 ++++---- libtommath/bn_mp_2expt.c | 8 ++++---- libtommath/bn_mp_abs.c | 8 ++++---- libtommath/bn_mp_add.c | 8 ++++---- libtommath/bn_mp_add_d.c | 8 ++++---- libtommath/bn_mp_addmod.c | 8 ++++---- libtommath/bn_mp_and.c | 8 ++++---- libtommath/bn_mp_clamp.c | 8 ++++---- libtommath/bn_mp_clear.c | 8 ++++---- libtommath/bn_mp_clear_multi.c | 8 ++++---- libtommath/bn_mp_cmp.c | 8 ++++---- libtommath/bn_mp_cmp_d.c | 8 ++++---- libtommath/bn_mp_cmp_mag.c | 8 ++++---- libtommath/bn_mp_cnt_lsb.c | 8 ++++---- libtommath/bn_mp_copy.c | 8 ++++---- libtommath/bn_mp_count_bits.c | 8 ++++---- libtommath/bn_mp_div.c | 8 ++++---- libtommath/bn_mp_div_2.c | 8 ++++---- libtommath/bn_mp_div_2d.c | 8 ++++---- libtommath/bn_mp_div_3.c | 8 ++++---- libtommath/bn_mp_div_d.c | 8 ++++---- libtommath/bn_mp_dr_is_modulus.c | 8 ++++---- libtommath/bn_mp_dr_reduce.c | 8 ++++---- libtommath/bn_mp_dr_setup.c | 8 ++++---- libtommath/bn_mp_exch.c | 8 ++++---- libtommath/bn_mp_expt_d.c | 8 ++++---- libtommath/bn_mp_exptmod.c | 8 ++++---- libtommath/bn_mp_exptmod_fast.c | 8 ++++---- libtommath/bn_mp_exteuclid.c | 8 ++++---- libtommath/bn_mp_fread.c | 8 ++++---- libtommath/bn_mp_fwrite.c | 8 ++++---- libtommath/bn_mp_gcd.c | 8 ++++---- libtommath/bn_mp_get_int.c | 8 ++++---- libtommath/bn_mp_grow.c | 8 ++++---- libtommath/bn_mp_init.c | 8 ++++---- libtommath/bn_mp_init_copy.c | 8 ++++---- libtommath/bn_mp_init_multi.c | 8 ++++---- libtommath/bn_mp_init_set.c | 8 ++++---- libtommath/bn_mp_init_set_int.c | 8 ++++---- libtommath/bn_mp_init_size.c | 8 ++++---- libtommath/bn_mp_invmod.c | 8 ++++---- libtommath/bn_mp_invmod_slow.c | 8 ++++---- libtommath/bn_mp_is_square.c | 8 ++++---- libtommath/bn_mp_jacobi.c | 8 ++++---- libtommath/bn_mp_karatsuba_mul.c | 8 ++++---- libtommath/bn_mp_karatsuba_sqr.c | 8 ++++---- libtommath/bn_mp_lcm.c | 8 ++++---- libtommath/bn_mp_lshd.c | 8 ++++---- libtommath/bn_mp_mod.c | 8 ++++---- libtommath/bn_mp_mod_2d.c | 8 ++++---- libtommath/bn_mp_mod_d.c | 8 ++++---- libtommath/bn_mp_montgomery_calc_normalization.c | 8 ++++---- libtommath/bn_mp_montgomery_reduce.c | 8 ++++---- libtommath/bn_mp_montgomery_setup.c | 8 ++++---- libtommath/bn_mp_mul.c | 8 ++++---- libtommath/bn_mp_mul_2.c | 8 ++++---- libtommath/bn_mp_mul_2d.c | 8 ++++---- libtommath/bn_mp_mul_d.c | 8 ++++---- libtommath/bn_mp_mulmod.c | 8 ++++---- libtommath/bn_mp_n_root.c | 8 ++++---- libtommath/bn_mp_neg.c | 8 ++++---- libtommath/bn_mp_or.c | 8 ++++---- libtommath/bn_mp_prime_fermat.c | 8 ++++---- libtommath/bn_mp_prime_is_divisible.c | 8 ++++---- libtommath/bn_mp_prime_is_prime.c | 8 ++++---- libtommath/bn_mp_prime_miller_rabin.c | 8 ++++---- libtommath/bn_mp_prime_next_prime.c | 8 ++++---- libtommath/bn_mp_prime_rabin_miller_trials.c | 8 ++++---- libtommath/bn_mp_prime_random_ex.c | 8 ++++---- libtommath/bn_mp_radix_size.c | 8 ++++---- libtommath/bn_mp_radix_smap.c | 8 ++++---- libtommath/bn_mp_rand.c | 8 ++++---- libtommath/bn_mp_read_radix.c | 8 ++++---- libtommath/bn_mp_read_signed_bin.c | 8 ++++---- libtommath/bn_mp_read_unsigned_bin.c | 8 ++++---- libtommath/bn_mp_reduce.c | 8 ++++---- libtommath/bn_mp_reduce_2k.c | 8 ++++---- libtommath/bn_mp_reduce_2k_l.c | 8 ++++---- libtommath/bn_mp_reduce_2k_setup.c | 8 ++++---- libtommath/bn_mp_reduce_2k_setup_l.c | 8 ++++---- libtommath/bn_mp_reduce_is_2k.c | 8 ++++---- libtommath/bn_mp_reduce_is_2k_l.c | 8 ++++---- libtommath/bn_mp_reduce_setup.c | 8 ++++---- libtommath/bn_mp_rshd.c | 8 ++++---- libtommath/bn_mp_set.c | 8 ++++---- libtommath/bn_mp_set_int.c | 8 ++++---- libtommath/bn_mp_shrink.c | 8 ++++---- libtommath/bn_mp_signed_bin_size.c | 8 ++++---- libtommath/bn_mp_sqr.c | 8 ++++---- libtommath/bn_mp_sqrmod.c | 8 ++++---- libtommath/bn_mp_sqrt.c | 8 ++++---- libtommath/bn_mp_sub.c | 8 ++++---- libtommath/bn_mp_sub_d.c | 8 ++++---- libtommath/bn_mp_submod.c | 8 ++++---- libtommath/bn_mp_to_signed_bin.c | 8 ++++---- libtommath/bn_mp_to_signed_bin_n.c | 8 ++++---- libtommath/bn_mp_to_unsigned_bin.c | 8 ++++---- libtommath/bn_mp_to_unsigned_bin_n.c | 8 ++++---- libtommath/bn_mp_toom_mul.c | 8 ++++---- libtommath/bn_mp_toom_sqr.c | 8 ++++---- libtommath/bn_mp_toradix.c | 8 ++++---- libtommath/bn_mp_toradix_n.c | 8 ++++---- libtommath/bn_mp_unsigned_bin_size.c | 8 ++++---- libtommath/bn_mp_xor.c | 8 ++++---- libtommath/bn_mp_zero.c | 8 ++++---- libtommath/bn_prime_tab.c | 8 ++++---- libtommath/bn_reverse.c | 8 ++++---- libtommath/bn_s_mp_add.c | 8 ++++---- libtommath/bn_s_mp_exptmod.c | 8 ++++---- libtommath/bn_s_mp_mul_digs.c | 8 ++++---- libtommath/bn_s_mp_mul_high_digs.c | 8 ++++---- libtommath/bn_s_mp_sqr.c | 8 ++++---- libtommath/bn_s_mp_sub.c | 8 ++++---- libtommath/bncore.c | 8 ++++---- libtommath/booker.pl | 2 +- libtommath/demo/demo.c | 6 +++--- libtommath/demo/timing.c | 6 +++--- libtommath/etc/2kprime.c | 6 +++--- libtommath/etc/drprime.c | 6 +++--- libtommath/etc/mersenne.c | 6 +++--- libtommath/etc/mont.c | 6 +++--- libtommath/etc/pprime.c | 6 +++--- libtommath/etc/tune.c | 6 +++--- libtommath/logs/index.html | 6 +++--- libtommath/makefile.cygwin_dll | 6 +++--- libtommath/mtest/logtab.h | 6 +++--- libtommath/mtest/mpi-config.h | 8 ++++---- libtommath/mtest/mpi-types.h | 6 +++--- libtommath/mtest/mpi.c | 8 ++++---- libtommath/mtest/mpi.h | 8 ++++---- libtommath/mtest/mtest.c | 6 +++--- libtommath/tommath.h | 6 +++--- libtommath/tommath_class.h | 6 +++--- libtommath/tommath_superclass.h | 6 +++--- 139 files changed, 537 insertions(+), 537 deletions(-) diff --git a/libtommath/bn_error.c b/libtommath/bn_error.c index d96ea2a..b1b7177 100644 --- a/libtommath/bn_error.c +++ b/libtommath/bn_error.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ static const struct { @@ -42,6 +42,6 @@ char *mp_error_to_string(int code) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_error.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_error.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_fast_mp_invmod.c b/libtommath/bn_fast_mp_invmod.c index 744ae4f..ff03dff 100644 --- a/libtommath/bn_fast_mp_invmod.c +++ b/libtommath/bn_fast_mp_invmod.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* computes the modular inverse via binary extended euclidean algorithm, @@ -143,6 +143,6 @@ LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &B, &D, NULL); } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_fast_mp_invmod.c,v $ */ -/* $Revision: 1.1.1.4 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_fast_mp_invmod.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_fast_mp_montgomery_reduce.c b/libtommath/bn_fast_mp_montgomery_reduce.c index 45a4089..b6c0694 100644 --- a/libtommath/bn_fast_mp_montgomery_reduce.c +++ b/libtommath/bn_fast_mp_montgomery_reduce.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* computes xR**-1 == x (mod N) via Montgomery Reduction @@ -167,6 +167,6 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_fast_mp_montgomery_reduce.c,v $ */ -/* $Revision: 1.1.1.4 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_fast_mp_montgomery_reduce.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_fast_s_mp_mul_digs.c b/libtommath/bn_fast_s_mp_mul_digs.c index 86b78b4..91e10d6 100644 --- a/libtommath/bn_fast_s_mp_mul_digs.c +++ b/libtommath/bn_fast_s_mp_mul_digs.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* Fast (comba) multiplier @@ -102,6 +102,6 @@ int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_fast_s_mp_mul_digs.c,v $ */ -/* $Revision: 1.1.1.4 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_fast_s_mp_mul_digs.c,v $ */ +/* $Revision: 1.8 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_fast_s_mp_mul_high_digs.c b/libtommath/bn_fast_s_mp_mul_high_digs.c index 607630a..5b114d7 100644 --- a/libtommath/bn_fast_s_mp_mul_high_digs.c +++ b/libtommath/bn_fast_s_mp_mul_high_digs.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* this is a modified version of fast_s_mul_digs that only produces @@ -93,6 +93,6 @@ int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_fast_s_mp_mul_high_digs.c,v $ */ -/* $Revision: 1.1.1.4 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_fast_s_mp_mul_high_digs.c,v $ */ +/* $Revision: 1.6 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_fast_s_mp_sqr.c b/libtommath/bn_fast_s_mp_sqr.c index 50adf00..19e92ef 100644 --- a/libtommath/bn_fast_s_mp_sqr.c +++ b/libtommath/bn_fast_s_mp_sqr.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* the jist of squaring... @@ -109,6 +109,6 @@ int fast_s_mp_sqr (mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_fast_s_mp_sqr.c,v $ */ -/* $Revision: 1.1.1.4 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_fast_s_mp_sqr.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_2expt.c b/libtommath/bn_mp_2expt.c index a9d3e9c..f422ffc 100644 --- a/libtommath/bn_mp_2expt.c +++ b/libtommath/bn_mp_2expt.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* computes a = 2**b @@ -43,6 +43,6 @@ mp_2expt (mp_int * a, int b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_2expt.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_2expt.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_abs.c b/libtommath/bn_mp_abs.c index 2a7f02c..09dd722 100644 --- a/libtommath/bn_mp_abs.c +++ b/libtommath/bn_mp_abs.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* b = |a| @@ -38,6 +38,6 @@ mp_abs (mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_abs.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_abs.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_add.c b/libtommath/bn_mp_add.c index b7effdb..be20644 100644 --- a/libtommath/bn_mp_add.c +++ b/libtommath/bn_mp_add.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* high level addition (handles signs) */ @@ -48,6 +48,6 @@ int mp_add (mp_int * a, mp_int * b, mp_int * c) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_add.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_add.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_add_d.c b/libtommath/bn_mp_add_d.c index 598acab..8ca36c1 100644 --- a/libtommath/bn_mp_add_d.c +++ b/libtommath/bn_mp_add_d.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* single digit addition */ @@ -107,6 +107,6 @@ mp_add_d (mp_int * a, mp_digit b, mp_int * c) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_add_d.c,v $ */ -/* $Revision: 1.1.1.4 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_add_d.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_addmod.c b/libtommath/bn_mp_addmod.c index b0b4d8b..6d8afe1 100644 --- a/libtommath/bn_mp_addmod.c +++ b/libtommath/bn_mp_addmod.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* d = a + b (mod c) */ @@ -36,6 +36,6 @@ mp_addmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_addmod.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_addmod.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_and.c b/libtommath/bn_mp_and.c index ff61017..8ea2287 100644 --- a/libtommath/bn_mp_and.c +++ b/libtommath/bn_mp_and.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* AND two ints together */ @@ -52,6 +52,6 @@ mp_and (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_and.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_and.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_clamp.c b/libtommath/bn_mp_clamp.c index 4f2f8ba..359c2ff 100644 --- a/libtommath/bn_mp_clamp.c +++ b/libtommath/bn_mp_clamp.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* trim unused digits @@ -39,6 +39,6 @@ mp_clamp (mp_int * a) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_clamp.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_clamp.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_clear.c b/libtommath/bn_mp_clear.c index e1fe10d..a65f0a3 100644 --- a/libtommath/bn_mp_clear.c +++ b/libtommath/bn_mp_clear.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* clear one (frees) */ @@ -39,6 +39,6 @@ mp_clear (mp_int * a) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_clear.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_clear.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_clear_multi.c b/libtommath/bn_mp_clear_multi.c index e9910e8..daaea79 100644 --- a/libtommath/bn_mp_clear_multi.c +++ b/libtommath/bn_mp_clear_multi.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ #include @@ -29,6 +29,6 @@ void mp_clear_multi(mp_int *mp, ...) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_clear_multi.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_clear_multi.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_cmp.c b/libtommath/bn_mp_cmp.c index 6361730..533f36b 100644 --- a/libtommath/bn_mp_cmp.c +++ b/libtommath/bn_mp_cmp.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* compare two ints (signed)*/ @@ -38,6 +38,6 @@ mp_cmp (mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_cmp.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_cmp.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_cmp_d.c b/libtommath/bn_mp_cmp_d.c index 92c3567..724c1c3 100644 --- a/libtommath/bn_mp_cmp_d.c +++ b/libtommath/bn_mp_cmp_d.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* compare a digit */ @@ -39,6 +39,6 @@ int mp_cmp_d(mp_int * a, mp_digit b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_cmp_d.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_cmp_d.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_cmp_mag.c b/libtommath/bn_mp_cmp_mag.c index 31c8221..693eb7c 100644 --- a/libtommath/bn_mp_cmp_mag.c +++ b/libtommath/bn_mp_cmp_mag.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* compare maginitude of two ints (unsigned) */ @@ -50,6 +50,6 @@ int mp_cmp_mag (mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_cmp_mag.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_cmp_mag.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_cnt_lsb.c b/libtommath/bn_mp_cnt_lsb.c index 4aa68b5..66d1a74 100644 --- a/libtommath/bn_mp_cnt_lsb.c +++ b/libtommath/bn_mp_cnt_lsb.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ static const int lnz[16] = { @@ -48,6 +48,6 @@ int mp_cnt_lsb(mp_int *a) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_cnt_lsb.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_cnt_lsb.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_copy.c b/libtommath/bn_mp_copy.c index a5d5e6f..b0de16d 100644 --- a/libtommath/bn_mp_copy.c +++ b/libtommath/bn_mp_copy.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* copy, b = a */ @@ -63,6 +63,6 @@ mp_copy (mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_copy.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_copy.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_count_bits.c b/libtommath/bn_mp_count_bits.c index 44c0cff..8bc5657 100644 --- a/libtommath/bn_mp_count_bits.c +++ b/libtommath/bn_mp_count_bits.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* returns the number of bits in an int */ @@ -40,6 +40,6 @@ mp_count_bits (mp_int * a) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_count_bits.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_count_bits.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_div.c b/libtommath/bn_mp_div.c index 4a94172..aee9c94 100644 --- a/libtommath/bn_mp_div.c +++ b/libtommath/bn_mp_div.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ #ifdef BN_MP_DIV_SMALL @@ -287,6 +287,6 @@ LBL_Q:mp_clear (&q); #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_div.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_div.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_div_2.c b/libtommath/bn_mp_div_2.c index bcb17c1..7ee3e5b 100644 --- a/libtommath/bn_mp_div_2.c +++ b/libtommath/bn_mp_div_2.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* b = a/2 */ @@ -63,6 +63,6 @@ int mp_div_2(mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_div_2.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_div_2.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_div_2d.c b/libtommath/bn_mp_div_2d.c index 12a7c99..4f7fa59 100644 --- a/libtommath/bn_mp_div_2d.c +++ b/libtommath/bn_mp_div_2d.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* shift right by a certain bit count (store quotient in c, optional remainder in d) */ @@ -92,6 +92,6 @@ int mp_div_2d (mp_int * a, int b, mp_int * c, mp_int * d) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_div_2d.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_div_2d.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_div_3.c b/libtommath/bn_mp_div_3.c index 571991a..3c60269 100644 --- a/libtommath/bn_mp_div_3.c +++ b/libtommath/bn_mp_div_3.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* divide by three (based on routine from MPI and the GMP manual) */ @@ -74,6 +74,6 @@ mp_div_3 (mp_int * a, mp_int *c, mp_digit * d) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_div_3.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_div_3.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_div_d.c b/libtommath/bn_mp_div_d.c index 4f210e6..d64b4b5 100644 --- a/libtommath/bn_mp_div_d.c +++ b/libtommath/bn_mp_div_d.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ static int s_is_power_of_two(mp_digit b, int *p) @@ -105,6 +105,6 @@ int mp_div_d (mp_int * a, mp_digit b, mp_int * c, mp_digit * d) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_div_d.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_div_d.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: $ */ diff --git a/libtommath/bn_mp_dr_is_modulus.c b/libtommath/bn_mp_dr_is_modulus.c index 9532df1..5237344 100644 --- a/libtommath/bn_mp_dr_is_modulus.c +++ b/libtommath/bn_mp_dr_is_modulus.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* determines if a number is a valid DR modulus */ @@ -38,6 +38,6 @@ int mp_dr_is_modulus(mp_int *a) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_dr_is_modulus.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_dr_is_modulus.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_dr_reduce.c b/libtommath/bn_mp_dr_reduce.c index 6d63462..e60b578 100644 --- a/libtommath/bn_mp_dr_reduce.c +++ b/libtommath/bn_mp_dr_reduce.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* reduce "x" in place modulo "n" using the Diminished Radix algorithm. @@ -89,6 +89,6 @@ top: } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_dr_reduce.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_dr_reduce.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_dr_setup.c b/libtommath/bn_mp_dr_setup.c index c6f4b2f..1d7d856 100644 --- a/libtommath/bn_mp_dr_setup.c +++ b/libtommath/bn_mp_dr_setup.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* determines the setup value */ @@ -27,6 +27,6 @@ void mp_dr_setup(mp_int *a, mp_digit *d) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_dr_setup.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_dr_setup.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_exch.c b/libtommath/bn_mp_exch.c index 691d9f6..38574e0 100644 --- a/libtommath/bn_mp_exch.c +++ b/libtommath/bn_mp_exch.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* swap the elements of two integers, for cases where you can't simply swap the @@ -29,6 +29,6 @@ mp_exch (mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_exch.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_exch.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_expt_d.c b/libtommath/bn_mp_expt_d.c index dfd04eb..4bdc2d1 100644 --- a/libtommath/bn_mp_expt_d.c +++ b/libtommath/bn_mp_expt_d.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* calculate c = a**b using a square-multiply algorithm */ @@ -52,6 +52,6 @@ int mp_expt_d (mp_int * a, mp_digit b, mp_int * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_expt_d.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_expt_d.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_exptmod.c b/libtommath/bn_mp_exptmod.c index 714a96f..0231916 100644 --- a/libtommath/bn_mp_exptmod.c +++ b/libtommath/bn_mp_exptmod.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ @@ -107,6 +107,6 @@ int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_exptmod.c,v $ */ -/* $Revision: 1.1.1.4 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_exptmod.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_exptmod_fast.c b/libtommath/bn_mp_exptmod_fast.c index cb8d94a..2a3b3c9 100644 --- a/libtommath/bn_mp_exptmod_fast.c +++ b/libtommath/bn_mp_exptmod_fast.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* computes Y == G**X mod P, HAC pp.616, Algorithm 14.85 @@ -316,6 +316,6 @@ LBL_M: #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_exptmod_fast.c,v $ */ -/* $Revision: 1.1.1.4 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_exptmod_fast.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_exteuclid.c b/libtommath/bn_mp_exteuclid.c index 9730fa0..e6c4ce2 100644 --- a/libtommath/bn_mp_exteuclid.c +++ b/libtommath/bn_mp_exteuclid.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* Extended euclidean algorithm of (a, b) produces @@ -77,6 +77,6 @@ _ERR: mp_clear_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_exteuclid.c,v $ */ -/* $Revision: 1.1.1.4 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_exteuclid.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_fread.c b/libtommath/bn_mp_fread.c index c1b0128..b344b6f 100644 --- a/libtommath/bn_mp_fread.c +++ b/libtommath/bn_mp_fread.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* read a bigint from a file stream in ASCII */ @@ -62,6 +62,6 @@ int mp_fread(mp_int *a, int radix, FILE *stream) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_fread.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_fread.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_fwrite.c b/libtommath/bn_mp_fwrite.c index 5785c02..a0b4c6b 100644 --- a/libtommath/bn_mp_fwrite.c +++ b/libtommath/bn_mp_fwrite.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ int mp_fwrite(mp_int *a, int radix, FILE *stream) @@ -47,6 +47,6 @@ int mp_fwrite(mp_int *a, int radix, FILE *stream) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_fwrite.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_fwrite.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_gcd.c b/libtommath/bn_mp_gcd.c index bbc5421..b39ba90 100644 --- a/libtommath/bn_mp_gcd.c +++ b/libtommath/bn_mp_gcd.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* Greatest Common Divisor using the binary method */ @@ -100,6 +100,6 @@ LBL_U:mp_clear (&v); } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_gcd.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_gcd.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_get_int.c b/libtommath/bn_mp_get_int.c index 269be79..17162e2 100644 --- a/libtommath/bn_mp_get_int.c +++ b/libtommath/bn_mp_get_int.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* get the lower 32-bits of an mp_int */ @@ -40,6 +40,6 @@ unsigned long mp_get_int(mp_int * a) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_get_int.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_get_int.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_grow.c b/libtommath/bn_mp_grow.c index e77c774..cf2b949 100644 --- a/libtommath/bn_mp_grow.c +++ b/libtommath/bn_mp_grow.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* grow as required */ @@ -52,6 +52,6 @@ int mp_grow (mp_int * a, int size) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_grow.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_grow.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_init.c b/libtommath/bn_mp_init.c index c866e89..8be27f5 100644 --- a/libtommath/bn_mp_init.c +++ b/libtommath/bn_mp_init.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* init a new mp_int */ @@ -41,6 +41,6 @@ int mp_init (mp_int * a) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_init.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_init.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_init_copy.c b/libtommath/bn_mp_init_copy.c index 2e1c207..0160811 100644 --- a/libtommath/bn_mp_init_copy.c +++ b/libtommath/bn_mp_init_copy.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* creates "a" then copies b into it */ @@ -27,6 +27,6 @@ int mp_init_copy (mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_init_copy.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_init_copy.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_init_multi.c b/libtommath/bn_mp_init_multi.c index 70148b8..59dc3a9 100644 --- a/libtommath/bn_mp_init_multi.c +++ b/libtommath/bn_mp_init_multi.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ #include @@ -54,6 +54,6 @@ int mp_init_multi(mp_int *mp, ...) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_init_multi.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_init_multi.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_init_set.c b/libtommath/bn_mp_init_set.c index cdf1249..34edad9 100644 --- a/libtommath/bn_mp_init_set.c +++ b/libtommath/bn_mp_init_set.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* initialize and set a digit */ @@ -27,6 +27,6 @@ int mp_init_set (mp_int * a, mp_digit b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_init_set.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_init_set.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_init_set_int.c b/libtommath/bn_mp_init_set_int.c index a4e87d5..5c55993 100644 --- a/libtommath/bn_mp_init_set_int.c +++ b/libtommath/bn_mp_init_set_int.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* initialize and set a digit */ @@ -26,6 +26,6 @@ int mp_init_set_int (mp_int * a, unsigned long b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_init_set_int.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_init_set_int.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_init_size.c b/libtommath/bn_mp_init_size.c index 4433b16..8e01418 100644 --- a/libtommath/bn_mp_init_size.c +++ b/libtommath/bn_mp_init_size.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* init an mp_init for a given size */ @@ -43,6 +43,6 @@ int mp_init_size (mp_int * a, int size) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_init_size.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_init_size.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_invmod.c b/libtommath/bn_mp_invmod.c index 09e71cd..1546514 100644 --- a/libtommath/bn_mp_invmod.c +++ b/libtommath/bn_mp_invmod.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* hac 14.61, pp608 */ @@ -38,6 +38,6 @@ int mp_invmod (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_invmod.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_invmod.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_invmod_slow.c b/libtommath/bn_mp_invmod_slow.c index ff9cc96..eedd47d 100644 --- a/libtommath/bn_mp_invmod_slow.c +++ b/libtommath/bn_mp_invmod_slow.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* hac 14.61, pp608 */ @@ -170,6 +170,6 @@ LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &A, &B, &C, &D, NULL); } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_invmod_slow.c,v $ */ -/* $Revision: 1.1.1.4 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_invmod_slow.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_is_square.c b/libtommath/bn_mp_is_square.c index 01f07b3..50c5244 100644 --- a/libtommath/bn_mp_is_square.c +++ b/libtommath/bn_mp_is_square.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* Check if remainders are possible squares - fast exclude non-squares */ @@ -104,6 +104,6 @@ ERR:mp_clear(&t); } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_is_square.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_is_square.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_jacobi.c b/libtommath/bn_mp_jacobi.c index cb7713d..91cfeea 100644 --- a/libtommath/bn_mp_jacobi.c +++ b/libtommath/bn_mp_jacobi.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* computes the jacobi c = (a | n) (or Legendre if n is prime) @@ -100,6 +100,6 @@ LBL_A1:mp_clear (&a1); } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_jacobi.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_jacobi.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_karatsuba_mul.c b/libtommath/bn_mp_karatsuba_mul.c index 53187dd..8ea2c27 100644 --- a/libtommath/bn_mp_karatsuba_mul.c +++ b/libtommath/bn_mp_karatsuba_mul.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* c = |a| * |b| using Karatsuba Multiplication using @@ -162,6 +162,6 @@ ERR: } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_karatsuba_mul.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_karatsuba_mul.c,v $ */ +/* $Revision: 1.6 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_karatsuba_sqr.c b/libtommath/bn_mp_karatsuba_sqr.c index 7f1f253..a5e198b 100644 --- a/libtommath/bn_mp_karatsuba_sqr.c +++ b/libtommath/bn_mp_karatsuba_sqr.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* Karatsuba squaring, computes b = a*a using three @@ -116,6 +116,6 @@ ERR: } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_karatsuba_sqr.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_karatsuba_sqr.c,v $ */ +/* $Revision: 1.6 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_lcm.c b/libtommath/bn_mp_lcm.c index 72a5beb..781eef5 100644 --- a/libtommath/bn_mp_lcm.c +++ b/libtommath/bn_mp_lcm.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* computes least common multiple as |a*b|/(a, b) */ @@ -55,6 +55,6 @@ LBL_T: } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_lcm.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_lcm.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_lshd.c b/libtommath/bn_mp_lshd.c index 84dfa81..f118cf1 100644 --- a/libtommath/bn_mp_lshd.c +++ b/libtommath/bn_mp_lshd.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* shift left a certain amount of digits */ @@ -62,6 +62,6 @@ int mp_lshd (mp_int * a, int b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_lshd.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_lshd.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_mod.c b/libtommath/bn_mp_mod.c index 16d9d76..f5cf8d0 100644 --- a/libtommath/bn_mp_mod.c +++ b/libtommath/bn_mp_mod.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* c = a mod b, 0 <= c < b */ @@ -43,6 +43,6 @@ mp_mod (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_mod.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_mod.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_mod_2d.c b/libtommath/bn_mp_mod_2d.c index 2ab7e33..e194a06 100644 --- a/libtommath/bn_mp_mod_2d.c +++ b/libtommath/bn_mp_mod_2d.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* calc a value mod 2**b */ @@ -50,6 +50,6 @@ mp_mod_2d (mp_int * a, int b, mp_int * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_mod_2d.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_mod_2d.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_mod_d.c b/libtommath/bn_mp_mod_d.c index 91dcbe1..9ca37e6 100644 --- a/libtommath/bn_mp_mod_d.c +++ b/libtommath/bn_mp_mod_d.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ int @@ -22,6 +22,6 @@ mp_mod_d (mp_int * a, mp_digit b, mp_digit * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_mod_d.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_mod_d.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_montgomery_calc_normalization.c b/libtommath/bn_mp_montgomery_calc_normalization.c index 59dd8ea..c669fe0 100644 --- a/libtommath/bn_mp_montgomery_calc_normalization.c +++ b/libtommath/bn_mp_montgomery_calc_normalization.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* @@ -54,6 +54,6 @@ int mp_montgomery_calc_normalization (mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_montgomery_calc_normalization.c,v $ */ -/* $Revision: 1.1.1.4 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_montgomery_calc_normalization.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_montgomery_reduce.c b/libtommath/bn_mp_montgomery_reduce.c index f9305d8..b765090 100644 --- a/libtommath/bn_mp_montgomery_reduce.c +++ b/libtommath/bn_mp_montgomery_reduce.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* computes xR**-1 == x (mod N) via Montgomery Reduction */ @@ -113,6 +113,6 @@ mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_montgomery_reduce.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_montgomery_reduce.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_montgomery_setup.c b/libtommath/bn_mp_montgomery_setup.c index cea6778..261a9fb 100644 --- a/libtommath/bn_mp_montgomery_setup.c +++ b/libtommath/bn_mp_montgomery_setup.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* setups the montgomery reduction stuff */ @@ -54,6 +54,6 @@ mp_montgomery_setup (mp_int * n, mp_digit * rho) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_montgomery_setup.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_montgomery_setup.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_mul.c b/libtommath/bn_mp_mul.c index 6506635..8b1117a 100644 --- a/libtommath/bn_mp_mul.c +++ b/libtommath/bn_mp_mul.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* high level multiplication (handles sign) */ @@ -61,6 +61,6 @@ int mp_mul (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_mul.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_mul.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_mul_2.c b/libtommath/bn_mp_mul_2.c index 96d5710..02455fc 100644 --- a/libtommath/bn_mp_mul_2.c +++ b/libtommath/bn_mp_mul_2.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* b = a*2 */ @@ -77,6 +77,6 @@ int mp_mul_2(mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_mul_2.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_mul_2.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_mul_2d.c b/libtommath/bn_mp_mul_2d.c index 88fa080..efeff2e 100644 --- a/libtommath/bn_mp_mul_2d.c +++ b/libtommath/bn_mp_mul_2d.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* shift left by a certain bit count */ @@ -80,6 +80,6 @@ int mp_mul_2d (mp_int * a, int b, mp_int * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_mul_2d.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_mul_2d.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_mul_d.c b/libtommath/bn_mp_mul_d.c index e86d6ab..00f9a89 100644 --- a/libtommath/bn_mp_mul_d.c +++ b/libtommath/bn_mp_mul_d.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* multiply by a digit */ @@ -74,6 +74,6 @@ mp_mul_d (mp_int * a, mp_digit b, mp_int * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_mul_d.c,v $ */ -/* $Revision: 1.1.1.4 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_mul_d.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_mulmod.c b/libtommath/bn_mp_mulmod.c index d84c555..003ceb9 100644 --- a/libtommath/bn_mp_mulmod.c +++ b/libtommath/bn_mp_mulmod.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* d = a * b (mod c) */ @@ -35,6 +35,6 @@ int mp_mulmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_mulmod.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_mulmod.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_n_root.c b/libtommath/bn_mp_n_root.c index 734d5ea..0e7bedc 100644 --- a/libtommath/bn_mp_n_root.c +++ b/libtommath/bn_mp_n_root.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* find the n'th root of an integer @@ -127,6 +127,6 @@ LBL_T1:mp_clear (&t1); } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_n_root.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_n_root.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_neg.c b/libtommath/bn_mp_neg.c index 17e851a..a7d035a 100644 --- a/libtommath/bn_mp_neg.c +++ b/libtommath/bn_mp_neg.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* b = -a */ @@ -35,6 +35,6 @@ int mp_neg (mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_neg.c,v $ */ -/* $Revision: 1.1.1.4 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_neg.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_or.c b/libtommath/bn_mp_or.c index 09df58c..bff4995 100644 --- a/libtommath/bn_mp_or.c +++ b/libtommath/bn_mp_or.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* OR two ints together */ @@ -45,6 +45,6 @@ int mp_or (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_or.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_or.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_prime_fermat.c b/libtommath/bn_mp_prime_fermat.c index f6edf9e..c23d77f 100644 --- a/libtommath/bn_mp_prime_fermat.c +++ b/libtommath/bn_mp_prime_fermat.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* performs one Fermat test. @@ -57,6 +57,6 @@ LBL_T:mp_clear (&t); } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_prime_fermat.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_prime_fermat.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_prime_is_divisible.c b/libtommath/bn_mp_prime_is_divisible.c index 897c11b..8e7871c 100644 --- a/libtommath/bn_mp_prime_is_divisible.c +++ b/libtommath/bn_mp_prime_is_divisible.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* determines if an integers is divisible by one @@ -45,6 +45,6 @@ int mp_prime_is_divisible (mp_int * a, int *result) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_prime_is_divisible.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_prime_is_divisible.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_prime_is_prime.c b/libtommath/bn_mp_prime_is_prime.c index 135f1d9..c316d62 100644 --- a/libtommath/bn_mp_prime_is_prime.c +++ b/libtommath/bn_mp_prime_is_prime.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* performs a variable number of rounds of Miller-Rabin @@ -78,6 +78,6 @@ LBL_B:mp_clear (&b); } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_prime_is_prime.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_prime_is_prime.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_prime_miller_rabin.c b/libtommath/bn_mp_prime_miller_rabin.c index f2d6c7f..ddf0358 100644 --- a/libtommath/bn_mp_prime_miller_rabin.c +++ b/libtommath/bn_mp_prime_miller_rabin.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* Miller-Rabin test of "a" to the base of "b" as described in @@ -98,6 +98,6 @@ LBL_N1:mp_clear (&n1); } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_prime_miller_rabin.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_prime_miller_rabin.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_prime_next_prime.c b/libtommath/bn_mp_prime_next_prime.c index a875260..daf2ec7 100644 --- a/libtommath/bn_mp_prime_next_prime.c +++ b/libtommath/bn_mp_prime_next_prime.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* finds the next prime after the number "a" using "t" trials @@ -165,6 +165,6 @@ LBL_ERR: #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_prime_next_prime.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_prime_next_prime.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_prime_rabin_miller_trials.c b/libtommath/bn_mp_prime_rabin_miller_trials.c index 30825a3..248c2fd 100644 --- a/libtommath/bn_mp_prime_rabin_miller_trials.c +++ b/libtommath/bn_mp_prime_rabin_miller_trials.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ @@ -47,6 +47,6 @@ int mp_prime_rabin_miller_trials(int size) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_prime_rabin_miller_trials.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_prime_rabin_miller_trials.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_prime_random_ex.c b/libtommath/bn_mp_prime_random_ex.c index baddd10..07aae4b 100644 --- a/libtommath/bn_mp_prime_random_ex.c +++ b/libtommath/bn_mp_prime_random_ex.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* makes a truly random prime of a given size (bits), @@ -120,6 +120,6 @@ error: #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_prime_random_ex.c,v $ */ -/* $Revision: 1.1.1.4 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_prime_random_ex.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_radix_size.c b/libtommath/bn_mp_radix_size.c index cf0a093..1b61e3a 100644 --- a/libtommath/bn_mp_radix_size.c +++ b/libtommath/bn_mp_radix_size.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* returns size of ASCII reprensentation */ @@ -73,6 +73,6 @@ int mp_radix_size (mp_int * a, int radix, int *size) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_radix_size.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_radix_size.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_radix_smap.c b/libtommath/bn_mp_radix_smap.c index 913acad..7d72feb 100644 --- a/libtommath/bn_mp_radix_smap.c +++ b/libtommath/bn_mp_radix_smap.c @@ -12,13 +12,13 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* chars used in radix conversions */ const char *mp_s_rmap = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz+/"; #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_radix_smap.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_radix_smap.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_rand.c b/libtommath/bn_mp_rand.c index 6de7447..af66a67 100644 --- a/libtommath/bn_mp_rand.c +++ b/libtommath/bn_mp_rand.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* makes a pseudo-random int of a given size */ @@ -50,6 +50,6 @@ mp_rand (mp_int * a, int digits) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_rand.c,v $ */ -/* $Revision: 1.1.1.4 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_rand.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_read_radix.c b/libtommath/bn_mp_read_radix.c index 9a6dd9b..91c46c2 100644 --- a/libtommath/bn_mp_read_radix.c +++ b/libtommath/bn_mp_read_radix.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* read a string [ASCII] in a given radix */ @@ -80,6 +80,6 @@ int mp_read_radix (mp_int * a, const char *str, int radix) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_read_radix.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_read_radix.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_read_signed_bin.c b/libtommath/bn_mp_read_signed_bin.c index ae9e6a8..8da651c 100644 --- a/libtommath/bn_mp_read_signed_bin.c +++ b/libtommath/bn_mp_read_signed_bin.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* read signed bin, big endian, first byte is 0==positive or 1==negative */ @@ -36,6 +36,6 @@ int mp_read_signed_bin (mp_int * a, const unsigned char *b, int c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_read_signed_bin.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_read_signed_bin.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_read_unsigned_bin.c b/libtommath/bn_mp_read_unsigned_bin.c index b94265f..1ebba13 100644 --- a/libtommath/bn_mp_read_unsigned_bin.c +++ b/libtommath/bn_mp_read_unsigned_bin.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* reads a unsigned char array, assumes the msb is stored first [big endian] */ @@ -50,6 +50,6 @@ int mp_read_unsigned_bin (mp_int * a, const unsigned char *b, int c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_read_unsigned_bin.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_read_unsigned_bin.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_reduce.c b/libtommath/bn_mp_reduce.c index e4c8842..21d0730 100644 --- a/libtommath/bn_mp_reduce.c +++ b/libtommath/bn_mp_reduce.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* reduces x mod m, assumes 0 < x < m**2, mu is @@ -95,6 +95,6 @@ CLEANUP: } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_reduce.c,v $ */ -/* $Revision: 1.1.1.4 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_reduce.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_reduce_2k.c b/libtommath/bn_mp_reduce_2k.c index 0bc9f36..d9620c2 100644 --- a/libtommath/bn_mp_reduce_2k.c +++ b/libtommath/bn_mp_reduce_2k.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* reduces a modulo n where n is of the form 2**p - d */ @@ -56,6 +56,6 @@ ERR: #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_reduce_2k.c,v $ */ -/* $Revision: 1.1.1.4 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_2k.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_reduce_2k_l.c b/libtommath/bn_mp_reduce_2k_l.c index ff50948..f06103d 100644 --- a/libtommath/bn_mp_reduce_2k_l.c +++ b/libtommath/bn_mp_reduce_2k_l.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* reduces a modulo n where n is of the form 2**p - d @@ -57,6 +57,6 @@ ERR: #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_reduce_2k_l.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_2k_l.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_reduce_2k_setup.c b/libtommath/bn_mp_reduce_2k_setup.c index 2a97cd0..a80e7a2 100644 --- a/libtommath/bn_mp_reduce_2k_setup.c +++ b/libtommath/bn_mp_reduce_2k_setup.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* determines the setup value */ @@ -42,6 +42,6 @@ int mp_reduce_2k_setup(mp_int *a, mp_digit *d) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_reduce_2k_setup.c,v $ */ -/* $Revision: 1.1.1.4 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_2k_setup.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_reduce_2k_setup_l.c b/libtommath/bn_mp_reduce_2k_setup_l.c index acff733..7cf002e 100644 --- a/libtommath/bn_mp_reduce_2k_setup_l.c +++ b/libtommath/bn_mp_reduce_2k_setup_l.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* determines the setup value */ @@ -39,6 +39,6 @@ ERR: } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_reduce_2k_setup_l.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_2k_setup_l.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_reduce_is_2k.c b/libtommath/bn_mp_reduce_is_2k.c index e398e19..7308be7 100644 --- a/libtommath/bn_mp_reduce_is_2k.c +++ b/libtommath/bn_mp_reduce_is_2k.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* determines if mp_reduce_2k can be used */ @@ -47,6 +47,6 @@ int mp_reduce_is_2k(mp_int *a) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_reduce_is_2k.c,v $ */ -/* $Revision: 1.1.1.4 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_is_2k.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_reduce_is_2k_l.c b/libtommath/bn_mp_reduce_is_2k_l.c index 82e972d..14a4d21 100644 --- a/libtommath/bn_mp_reduce_is_2k_l.c +++ b/libtommath/bn_mp_reduce_is_2k_l.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* determines if reduce_2k_l can be used */ @@ -39,6 +39,6 @@ int mp_reduce_is_2k_l(mp_int *a) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_reduce_is_2k_l.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_is_2k_l.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_reduce_setup.c b/libtommath/bn_mp_reduce_setup.c index 94bd26f..370f20b 100644 --- a/libtommath/bn_mp_reduce_setup.c +++ b/libtommath/bn_mp_reduce_setup.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* pre-calculate the value required for Barrett reduction @@ -29,6 +29,6 @@ int mp_reduce_setup (mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_reduce_setup.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_setup.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_rshd.c b/libtommath/bn_mp_rshd.c index ebc8d5f..2a693c5 100644 --- a/libtommath/bn_mp_rshd.c +++ b/libtommath/bn_mp_rshd.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* shift right a certain amount of digits */ @@ -67,6 +67,6 @@ void mp_rshd (mp_int * a, int b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_rshd.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_rshd.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_set.c b/libtommath/bn_mp_set.c index 9cb64c7..174adcb 100644 --- a/libtommath/bn_mp_set.c +++ b/libtommath/bn_mp_set.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* set to a digit */ @@ -24,6 +24,6 @@ void mp_set (mp_int * a, mp_digit b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_set.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_set.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_set_int.c b/libtommath/bn_mp_set_int.c index 106c4e2..cf10ea1 100644 --- a/libtommath/bn_mp_set_int.c +++ b/libtommath/bn_mp_set_int.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* set a 32-bit const */ @@ -43,6 +43,6 @@ int mp_set_int (mp_int * a, unsigned long b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_set_int.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_set_int.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_shrink.c b/libtommath/bn_mp_shrink.c index ddd72e3..4b8c5ef 100644 --- a/libtommath/bn_mp_shrink.c +++ b/libtommath/bn_mp_shrink.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* shrink a bignum */ @@ -30,6 +30,6 @@ int mp_shrink (mp_int * a) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_shrink.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_shrink.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_signed_bin_size.c b/libtommath/bn_mp_signed_bin_size.c index 97fdb96..6739d19 100644 --- a/libtommath/bn_mp_signed_bin_size.c +++ b/libtommath/bn_mp_signed_bin_size.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* get the size for an signed equivalent */ @@ -22,6 +22,6 @@ int mp_signed_bin_size (mp_int * a) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_signed_bin_size.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_signed_bin_size.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_sqr.c b/libtommath/bn_mp_sqr.c index 4e75bdb..868ccbb 100644 --- a/libtommath/bn_mp_sqr.c +++ b/libtommath/bn_mp_sqr.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* computes b = a*a */ @@ -53,6 +53,6 @@ if (a->used >= KARATSUBA_SQR_CUTOFF) { } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_sqr.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_sqr.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_sqrmod.c b/libtommath/bn_mp_sqrmod.c index d0f0a79..161cbbb 100644 --- a/libtommath/bn_mp_sqrmod.c +++ b/libtommath/bn_mp_sqrmod.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* c = a * a (mod b) */ @@ -36,6 +36,6 @@ mp_sqrmod (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_sqrmod.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_sqrmod.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_sqrt.c b/libtommath/bn_mp_sqrt.c index 086801d..8fd057c 100644 --- a/libtommath/bn_mp_sqrt.c +++ b/libtommath/bn_mp_sqrt.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* this function is less generic than mp_n_root, simpler and faster */ @@ -76,6 +76,6 @@ E2: mp_clear(&t1); #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_sqrt.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_sqrt.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_sub.c b/libtommath/bn_mp_sub.c index c0e2def..f5015cc 100644 --- a/libtommath/bn_mp_sub.c +++ b/libtommath/bn_mp_sub.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* high level subtraction (handles signs) */ @@ -54,6 +54,6 @@ mp_sub (mp_int * a, mp_int * b, mp_int * c) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_sub.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_sub.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_sub_d.c b/libtommath/bn_mp_sub_d.c index d979f35..06cdca6 100644 --- a/libtommath/bn_mp_sub_d.c +++ b/libtommath/bn_mp_sub_d.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* single digit subtraction */ @@ -88,6 +88,6 @@ mp_sub_d (mp_int * a, mp_digit b, mp_int * c) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_sub_d.c,v $ */ -/* $Revision: 1.1.1.4 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_sub_d.c,v $ */ +/* $Revision: 1.6 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_submod.c b/libtommath/bn_mp_submod.c index 046e844..869e23c 100644 --- a/libtommath/bn_mp_submod.c +++ b/libtommath/bn_mp_submod.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* d = a - b (mod c) */ @@ -37,6 +37,6 @@ mp_submod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_submod.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_submod.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_to_signed_bin.c b/libtommath/bn_mp_to_signed_bin.c index 066eb51..9df83ca 100644 --- a/libtommath/bn_mp_to_signed_bin.c +++ b/libtommath/bn_mp_to_signed_bin.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* store in signed [big endian] format */ @@ -28,6 +28,6 @@ int mp_to_signed_bin (mp_int * a, unsigned char *b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_to_signed_bin.c,v $ */ -/* $Revision: 1.1.1.4 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_to_signed_bin.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_to_signed_bin_n.c b/libtommath/bn_mp_to_signed_bin_n.c index b1df632..677f827 100644 --- a/libtommath/bn_mp_to_signed_bin_n.c +++ b/libtommath/bn_mp_to_signed_bin_n.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* store in signed [big endian] format */ @@ -26,6 +26,6 @@ int mp_to_signed_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_to_signed_bin_n.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_to_signed_bin_n.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_to_unsigned_bin.c b/libtommath/bn_mp_to_unsigned_bin.c index d69de35..c137f10 100644 --- a/libtommath/bn_mp_to_unsigned_bin.c +++ b/libtommath/bn_mp_to_unsigned_bin.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* store in unsigned [big endian] format */ @@ -43,6 +43,6 @@ int mp_to_unsigned_bin (mp_int * a, unsigned char *b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_to_unsigned_bin.c,v $ */ -/* $Revision: 1.1.1.4 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_to_unsigned_bin.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_to_unsigned_bin_n.c b/libtommath/bn_mp_to_unsigned_bin_n.c index 5621960..0dc00c6 100644 --- a/libtommath/bn_mp_to_unsigned_bin_n.c +++ b/libtommath/bn_mp_to_unsigned_bin_n.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* store in unsigned [big endian] format */ @@ -26,6 +26,6 @@ int mp_to_unsigned_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_to_unsigned_bin_n.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_to_unsigned_bin_n.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_toom_mul.c b/libtommath/bn_mp_toom_mul.c index 14d0705..ad5d9e9 100644 --- a/libtommath/bn_mp_toom_mul.c +++ b/libtommath/bn_mp_toom_mul.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* multiplication using the Toom-Cook 3-way algorithm @@ -279,6 +279,6 @@ ERR: #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_toom_mul.c,v $ */ -/* $Revision: 1.1.1.4 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_toom_mul.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_toom_sqr.c b/libtommath/bn_mp_toom_sqr.c index 14a235a..48880d0 100644 --- a/libtommath/bn_mp_toom_sqr.c +++ b/libtommath/bn_mp_toom_sqr.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* squaring using Toom-Cook 3-way algorithm */ @@ -221,6 +221,6 @@ ERR: #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_toom_sqr.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_toom_sqr.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_toradix.c b/libtommath/bn_mp_toradix.c index 1bd8819..0adc28d 100644 --- a/libtommath/bn_mp_toradix.c +++ b/libtommath/bn_mp_toradix.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* stores a bignum as a ASCII string in a given radix (2..64) */ @@ -70,6 +70,6 @@ int mp_toradix (mp_int * a, char *str, int radix) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_toradix.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_toradix.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_toradix_n.c b/libtommath/bn_mp_toradix_n.c index 39d5101..796ed55 100644 --- a/libtommath/bn_mp_toradix_n.c +++ b/libtommath/bn_mp_toradix_n.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* stores a bignum as a ASCII string in a given radix (2..64) @@ -83,6 +83,6 @@ int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_toradix_n.c,v $ */ -/* $Revision: 1.1.1.4 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_toradix_n.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_unsigned_bin_size.c b/libtommath/bn_mp_unsigned_bin_size.c index e79b91a..6dc3bd5 100644 --- a/libtommath/bn_mp_unsigned_bin_size.c +++ b/libtommath/bn_mp_unsigned_bin_size.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* get the size for an unsigned equivalent */ @@ -23,6 +23,6 @@ int mp_unsigned_bin_size (mp_int * a) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_unsigned_bin_size.c,v $ */ -/* $Revision: 1.1.1.4 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_unsigned_bin_size.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_xor.c b/libtommath/bn_mp_xor.c index bf40408..59ff2e1 100644 --- a/libtommath/bn_mp_xor.c +++ b/libtommath/bn_mp_xor.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* XOR two ints together */ @@ -46,6 +46,6 @@ mp_xor (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_xor.c,v $ */ -/* $Revision: 1.1.1.4 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_xor.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_mp_zero.c b/libtommath/bn_mp_zero.c index 3cbd933..b0977d4 100644 --- a/libtommath/bn_mp_zero.c +++ b/libtommath/bn_mp_zero.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* set to zero */ @@ -31,6 +31,6 @@ void mp_zero (mp_int * a) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_mp_zero.c,v $ */ -/* $Revision: 1.1.1.4 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_zero.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_prime_tab.c b/libtommath/bn_prime_tab.c index 38cb592..bd25247 100644 --- a/libtommath/bn_prime_tab.c +++ b/libtommath/bn_prime_tab.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ const mp_digit ltm_prime_tab[] = { 0x0002, 0x0003, 0x0005, 0x0007, 0x000B, 0x000D, 0x0011, 0x0013, @@ -56,6 +56,6 @@ const mp_digit ltm_prime_tab[] = { }; #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_prime_tab.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_prime_tab.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_reverse.c b/libtommath/bn_reverse.c index 3132f93..ddfa827 100644 --- a/libtommath/bn_reverse.c +++ b/libtommath/bn_reverse.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* reverse an array, used for radix code */ @@ -34,6 +34,6 @@ bn_reverse (unsigned char *s, int len) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_reverse.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_reverse.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_s_mp_add.c b/libtommath/bn_s_mp_add.c index 7023300..f034ae6 100644 --- a/libtommath/bn_s_mp_add.c +++ b/libtommath/bn_s_mp_add.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* low level addition, based on HAC pp.594, Algorithm 14.7 */ @@ -104,6 +104,6 @@ s_mp_add (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_s_mp_add.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_s_mp_add.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_s_mp_exptmod.c b/libtommath/bn_s_mp_exptmod.c index 7c6e304..097d894 100644 --- a/libtommath/bn_s_mp_exptmod.c +++ b/libtommath/bn_s_mp_exptmod.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ #ifdef MP_LOW_MEM #define TAB_SIZE 32 @@ -247,6 +247,6 @@ LBL_M: } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_s_mp_exptmod.c,v $ */ -/* $Revision: 1.1.1.4 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_s_mp_exptmod.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_s_mp_mul_digs.c b/libtommath/bn_s_mp_mul_digs.c index eb99e33..f5bbf39 100644 --- a/libtommath/bn_s_mp_mul_digs.c +++ b/libtommath/bn_s_mp_mul_digs.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* multiplies |a| * |b| and only computes upto digs digits of result @@ -85,6 +85,6 @@ int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_s_mp_mul_digs.c,v $ */ -/* $Revision: 1.1.1.4 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_s_mp_mul_digs.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_s_mp_mul_high_digs.c b/libtommath/bn_s_mp_mul_high_digs.c index 2ae9ee1..2b718f2 100644 --- a/libtommath/bn_s_mp_mul_high_digs.c +++ b/libtommath/bn_s_mp_mul_high_digs.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* multiplies |a| * |b| and does not compute the lower digs digits @@ -76,6 +76,6 @@ s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_s_mp_mul_high_digs.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_s_mp_mul_high_digs.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_s_mp_sqr.c b/libtommath/bn_s_mp_sqr.c index 0ae2869..d2531c2 100644 --- a/libtommath/bn_s_mp_sqr.c +++ b/libtommath/bn_s_mp_sqr.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* low level squaring, b = a*a, HAC pp.596-597, Algorithm 14.16 */ @@ -79,6 +79,6 @@ int s_mp_sqr (mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_s_mp_sqr.c,v $ */ -/* $Revision: 1.1.1.4 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_s_mp_sqr.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bn_s_mp_sub.c b/libtommath/bn_s_mp_sub.c index 94375a0..6a60c39 100644 --- a/libtommath/bn_s_mp_sub.c +++ b/libtommath/bn_s_mp_sub.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* low level subtraction (assumes |a| > |b|), HAC pp.595 Algorithm 14.9 */ @@ -84,6 +84,6 @@ s_mp_sub (mp_int * a, mp_int * b, mp_int * c) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bn_s_mp_sub.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bn_s_mp_sub.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/bncore.c b/libtommath/bncore.c index e53fdee..8fb1824 100644 --- a/libtommath/bncore.c +++ b/libtommath/bncore.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* Known optimal configurations @@ -31,6 +31,6 @@ int KARATSUBA_MUL_CUTOFF = 80, /* Min. number of digits before Karatsub TOOM_SQR_CUTOFF = 400; #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/bncore.c,v $ */ -/* $Revision: 1.1.1.4 $ */ -/* $Date: 2006/12/01 00:08:11 $ */ +/* $Source: /cvs/libtom/libtommath/bncore.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ diff --git a/libtommath/booker.pl b/libtommath/booker.pl index df8b30d..49f1889 100644 --- a/libtommath/booker.pl +++ b/libtommath/booker.pl @@ -82,7 +82,7 @@ while () { # scan till next end of comment, e.g. skip license while () { $text[$line++] = $_; - last if ($_ =~ /math\.libtomcrypt\.org/); + last if ($_ =~ /math\.libtomcrypt\.com/); } ; } diff --git a/libtommath/demo/demo.c b/libtommath/demo/demo.c index 0555366..bb5eb44 100644 --- a/libtommath/demo/demo.c +++ b/libtommath/demo/demo.c @@ -735,6 +735,6 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } return 0; } -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/demo/demo.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2005/09/26 16:32:16 $ */ +/* $Source: /cvs/libtom/libtommath/demo/demo.c,v $ */ +/* $Revision: 1.3 $ */ +/* $Date: 2005/06/24 11:32:07 $ */ diff --git a/libtommath/demo/timing.c b/libtommath/demo/timing.c index cf0f39c..d4660a9 100644 --- a/libtommath/demo/timing.c +++ b/libtommath/demo/timing.c @@ -314,6 +314,6 @@ int main(void) return 0; } -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/demo/timing.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2005/09/26 16:32:16 $ */ +/* $Source: /cvs/libtom/libtommath/demo/timing.c,v $ */ +/* $Revision: 1.2 $ */ +/* $Date: 2005/05/05 14:38:47 $ */ diff --git a/libtommath/etc/2kprime.c b/libtommath/etc/2kprime.c index d8ea97c..c09818f 100644 --- a/libtommath/etc/2kprime.c +++ b/libtommath/etc/2kprime.c @@ -79,6 +79,6 @@ int main(void) -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/etc/2kprime.c,v $ */ -/* $Revision: 1.1.1.2 $ */ -/* $Date: 2005/09/26 16:32:16 $ */ +/* $Source: /cvs/libtom/libtommath/etc/2kprime.c,v $ */ +/* $Revision: 1.2 $ */ +/* $Date: 2005/05/05 14:38:47 $ */ diff --git a/libtommath/etc/drprime.c b/libtommath/etc/drprime.c index eec89ed..e413985 100644 --- a/libtommath/etc/drprime.c +++ b/libtommath/etc/drprime.c @@ -59,6 +59,6 @@ int main(void) } -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/etc/drprime.c,v $ */ -/* $Revision: 1.1.1.2 $ */ -/* $Date: 2005/09/26 16:32:16 $ */ +/* $Source: /cvs/libtom/libtommath/etc/drprime.c,v $ */ +/* $Revision: 1.2 $ */ +/* $Date: 2005/05/05 14:38:47 $ */ diff --git a/libtommath/etc/mersenne.c b/libtommath/etc/mersenne.c index e4891c8..6a6497a 100644 --- a/libtommath/etc/mersenne.c +++ b/libtommath/etc/mersenne.c @@ -139,6 +139,6 @@ main (void) return 0; } -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/etc/mersenne.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:28 $ */ +/* $Source: /cvs/libtom/libtommath/etc/mersenne.c,v $ */ +/* $Revision: 1.3 $ */ +/* $Date: 2006/03/31 14:18:47 $ */ diff --git a/libtommath/etc/mont.c b/libtommath/etc/mont.c index c6a8e32..393be4c 100644 --- a/libtommath/etc/mont.c +++ b/libtommath/etc/mont.c @@ -45,6 +45,6 @@ int main(void) -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/etc/mont.c,v $ */ -/* $Revision: 1.1.1.2 $ */ -/* $Date: 2005/09/26 16:32:16 $ */ +/* $Source: /cvs/libtom/libtommath/etc/mont.c,v $ */ +/* $Revision: 1.2 $ */ +/* $Date: 2005/05/05 14:38:47 $ */ diff --git a/libtommath/etc/pprime.c b/libtommath/etc/pprime.c index abb3c5a..317e2a0 100644 --- a/libtommath/etc/pprime.c +++ b/libtommath/etc/pprime.c @@ -395,6 +395,6 @@ main (void) return 0; } -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/etc/pprime.c,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2006/12/01 00:08:28 $ */ +/* $Source: /cvs/libtom/libtommath/etc/pprime.c,v $ */ +/* $Revision: 1.3 $ */ +/* $Date: 2006/03/31 14:18:47 $ */ diff --git a/libtommath/etc/tune.c b/libtommath/etc/tune.c index 3088bdb..d4a502c 100644 --- a/libtommath/etc/tune.c +++ b/libtommath/etc/tune.c @@ -137,6 +137,6 @@ main (void) return 0; } -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/etc/tune.c,v $ */ -/* $Revision: 1.1.1.4 $ */ -/* $Date: 2006/12/01 00:08:29 $ */ +/* $Source: /cvs/libtom/libtommath/etc/tune.c,v $ */ +/* $Revision: 1.3 $ */ +/* $Date: 2006/03/31 14:18:47 $ */ diff --git a/libtommath/logs/index.html b/libtommath/logs/index.html index 2b65a0b..4b68c25 100644 --- a/libtommath/logs/index.html +++ b/libtommath/logs/index.html @@ -22,6 +22,6 @@ -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/logs/index.html,v $ */ -/* $Revision: 1.1.1.2 $ */ -/* $Date: 2005/09/26 16:32:16 $ */ +/* $Source: /cvs/libtom/libtommath/logs/index.html,v $ */ +/* $Revision: 1.2 $ */ +/* $Date: 2005/05/05 14:38:47 $ */ diff --git a/libtommath/makefile.cygwin_dll b/libtommath/makefile.cygwin_dll index dae65ae..85a9b20 100644 --- a/libtommath/makefile.cygwin_dll +++ b/libtommath/makefile.cygwin_dll @@ -50,6 +50,6 @@ test: $(OBJECTS) windll gcc $(CFLAGS) demo/demo.c libtommath.dll.a -Wl,--enable-auto-import -o test -s cd mtest ; $(CC) -O3 -fomit-frame-pointer -funroll-loops mtest.c -o mtest -s -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/makefile.cygwin_dll,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2005/09/26 16:31:57 $ */ +/* $Source: /cvs/libtom/libtommath/makefile.cygwin_dll,v $ */ +/* $Revision: 1.2 $ */ +/* $Date: 2005/05/05 14:38:45 $ */ diff --git a/libtommath/mtest/logtab.h b/libtommath/mtest/logtab.h index 4c8774c..bbefaef 100644 --- a/libtommath/mtest/logtab.h +++ b/libtommath/mtest/logtab.h @@ -19,6 +19,6 @@ const float s_logv_2[] = { }; -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/mtest/logtab.h,v $ */ -/* $Revision: 1.1.1.2 $ */ -/* $Date: 2005/09/26 16:32:17 $ */ +/* $Source: /cvs/libtom/libtommath/mtest/logtab.h,v $ */ +/* $Revision: 1.2 $ */ +/* $Date: 2005/05/05 14:38:47 $ */ diff --git a/libtommath/mtest/mpi-config.h b/libtommath/mtest/mpi-config.h index e6ffbc4..6049c25 100644 --- a/libtommath/mtest/mpi-config.h +++ b/libtommath/mtest/mpi-config.h @@ -1,5 +1,5 @@ /* Default configuration for MPI library */ -/* $Id: mpi-config.h,v 1.1.1.2 2005/09/26 16:32:17 kennykb Exp $ */ +/* $Id: mpi-config.h,v 1.2 2005/05/05 14:38:47 tom Exp $ */ #ifndef MPI_CONFIG_H_ #define MPI_CONFIG_H_ @@ -85,6 +85,6 @@ /* crc==3287762869, version==2, Sat Feb 02 06:43:53 2002 */ -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/mtest/mpi-config.h,v $ */ -/* $Revision: 1.1.1.2 $ */ -/* $Date: 2005/09/26 16:32:17 $ */ +/* $Source: /cvs/libtom/libtommath/mtest/mpi-config.h,v $ */ +/* $Revision: 1.2 $ */ +/* $Date: 2005/05/05 14:38:47 $ */ diff --git a/libtommath/mtest/mpi-types.h b/libtommath/mtest/mpi-types.h index 96d5967..026de58 100644 --- a/libtommath/mtest/mpi-types.h +++ b/libtommath/mtest/mpi-types.h @@ -15,6 +15,6 @@ typedef int mp_err; #define RADIX (MP_DIGIT_MAX+1) -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/mtest/mpi-types.h,v $ */ -/* $Revision: 1.1.1.2 $ */ -/* $Date: 2005/09/26 16:32:17 $ */ +/* $Source: /cvs/libtom/libtommath/mtest/mpi-types.h,v $ */ +/* $Revision: 1.2 $ */ +/* $Date: 2005/05/05 14:38:47 $ */ diff --git a/libtommath/mtest/mpi.c b/libtommath/mtest/mpi.c index 1b6f114..7c712dd 100644 --- a/libtommath/mtest/mpi.c +++ b/libtommath/mtest/mpi.c @@ -6,7 +6,7 @@ Arbitrary precision integer arithmetic library - $Id: mpi.c,v 1.1.1.2 2005/09/26 16:32:17 kennykb Exp $ + $Id: mpi.c,v 1.2 2005/05/05 14:38:47 tom Exp $ */ #include "mpi.h" @@ -3980,6 +3980,6 @@ int s_mp_outlen(int bits, int r) /* HERE THERE BE DRAGONS */ /* crc==4242132123, version==2, Sat Feb 02 06:43:52 2002 */ -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/mtest/mpi.c,v $ */ -/* $Revision: 1.1.1.2 $ */ -/* $Date: 2005/09/26 16:32:17 $ */ +/* $Source: /cvs/libtom/libtommath/mtest/mpi.c,v $ */ +/* $Revision: 1.2 $ */ +/* $Date: 2005/05/05 14:38:47 $ */ diff --git a/libtommath/mtest/mpi.h b/libtommath/mtest/mpi.h index 1bd0680..66ae873 100644 --- a/libtommath/mtest/mpi.h +++ b/libtommath/mtest/mpi.h @@ -6,7 +6,7 @@ Arbitrary precision integer arithmetic library - $Id: mpi.h,v 1.1.1.2 2005/09/26 16:32:17 kennykb Exp $ + $Id: mpi.h,v 1.2 2005/05/05 14:38:47 tom Exp $ */ #ifndef _H_MPI_ @@ -226,6 +226,6 @@ const char *mp_strerror(mp_err ec); #endif /* end _H_MPI_ */ -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/mtest/mpi.h,v $ */ -/* $Revision: 1.1.1.2 $ */ -/* $Date: 2005/09/26 16:32:17 $ */ +/* $Source: /cvs/libtom/libtommath/mtest/mpi.h,v $ */ +/* $Revision: 1.2 $ */ +/* $Date: 2005/05/05 14:38:47 $ */ diff --git a/libtommath/mtest/mtest.c b/libtommath/mtest/mtest.c index f18dc00..bdfe612 100644 --- a/libtommath/mtest/mtest.c +++ b/libtommath/mtest/mtest.c @@ -303,6 +303,6 @@ int main(void) return 0; } -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/mtest/mtest.c,v $ */ -/* $Revision: 1.1.1.2 $ */ -/* $Date: 2005/09/26 16:32:17 $ */ +/* $Source: /cvs/libtom/libtommath/mtest/mtest.c,v $ */ +/* $Revision: 1.2 $ */ +/* $Date: 2005/05/05 14:38:47 $ */ diff --git a/libtommath/tommath.h b/libtommath/tommath.h index f9b2d11..3c00b9e 100644 --- a/libtommath/tommath.h +++ b/libtommath/tommath.h @@ -579,6 +579,6 @@ extern const char *mp_s_rmap; #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/tommath.h,v $ */ -/* $Revision: 1.1.1.4 $ */ -/* $Date: 2006/12/01 00:08:12 $ */ +/* $Source: /cvs/libtom/libtommath/tommath.h,v $ */ +/* $Revision: 1.8 $ */ +/* $Date: 2006/03/31 14:18:44 $ */ diff --git a/libtommath/tommath_class.h b/libtommath/tommath_class.h index 29e36fc..166dd80 100644 --- a/libtommath/tommath_class.h +++ b/libtommath/tommath_class.h @@ -994,6 +994,6 @@ #define LTM_LAST #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/tommath_class.h,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2005/09/26 16:32:16 $ */ +/* $Source: /cvs/libtom/libtommath/tommath_class.h,v $ */ +/* $Revision: 1.3 $ */ +/* $Date: 2005/07/28 11:59:32 $ */ diff --git a/libtommath/tommath_superclass.h b/libtommath/tommath_superclass.h index 6722510..2fdebe6 100644 --- a/libtommath/tommath_superclass.h +++ b/libtommath/tommath_superclass.h @@ -71,6 +71,6 @@ #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/tommath_superclass.h,v $ */ -/* $Revision: 1.1.1.2 $ */ -/* $Date: 2005/09/26 16:32:16 $ */ +/* $Source: /cvs/libtom/libtommath/tommath_superclass.h,v $ */ +/* $Revision: 1.3 $ */ +/* $Date: 2005/05/14 13:29:17 $ */ -- cgit v0.12 From b5c43fbc876f3a372f5d83509d70f648ae9d6b88 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 14 Mar 2011 11:51:58 +0000 Subject: Import of libtommath 0.40 --- libtommath/bn_mp_montgomery_setup.c | 2 +- libtommath/changes.txt | 4 ++++ libtommath/etc/drprimes.txt | 11 +++++++---- libtommath/makefile | 7 ++++--- libtommath/makefile.shared | 2 +- 5 files changed, 17 insertions(+), 9 deletions(-) diff --git a/libtommath/bn_mp_montgomery_setup.c b/libtommath/bn_mp_montgomery_setup.c index 261a9fb..f082749 100644 --- a/libtommath/bn_mp_montgomery_setup.c +++ b/libtommath/bn_mp_montgomery_setup.c @@ -48,7 +48,7 @@ mp_montgomery_setup (mp_int * n, mp_digit * rho) #endif /* rho = -1/m mod b */ - *rho = (((mp_word)1 << ((mp_word) DIGIT_BIT)) - x) & MP_MASK; + *rho = (unsigned long)(((mp_word)1 << ((mp_word) DIGIT_BIT)) - x) & MP_MASK; return MP_OKAY; } diff --git a/libtommath/changes.txt b/libtommath/changes.txt index 9498d36..aaaf69f 100644 --- a/libtommath/changes.txt +++ b/libtommath/changes.txt @@ -1,3 +1,7 @@ +December 24th, 2006 +v0.40 -- Updated makefile to properly support LIBNAME + -- Fixed bug in fast_s_mp_mul_high_digs() which overflowed (line 83), thanks Valgrind! + April 4th, 2006 v0.39 -- Jim Wigginton pointed out my Montgomery examples in figures 6.4 and 6.6 were off by one, k should be 9 not 8 -- Bruce Guenter suggested I use --tag=CC for libtool builds where the compiler may think it's C++. diff --git a/libtommath/etc/drprimes.txt b/libtommath/etc/drprimes.txt index 2c887ea..7c97f67 100644 --- a/libtommath/etc/drprimes.txt +++ b/libtommath/etc/drprimes.txt @@ -1,6 +1,9 @@ -280-bit prime: -p == 1942668892225729070919461906823518906642406839052139521251812409738904285204940164839 +300-bit prime: +p == 2037035976334486086268445688409378161051468393665936250636140449354381298610415201576637819 -532-bit prime: -p == 14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203368691747 +540-bit prime: +p == 3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206810991770626477344739 + +780-bit prime: +p == 6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003655947791725966271167 diff --git a/libtommath/makefile b/libtommath/makefile index e08a888..9f69678 100644 --- a/libtommath/makefile +++ b/libtommath/makefile @@ -3,7 +3,7 @@ #Tom St Denis #version of library -VERSION=0.39 +VERSION=0.40 CFLAGS += -I./ -Wall -W -Wshadow -Wsign-compare @@ -40,12 +40,13 @@ else USER=$(INSTALL_USER) endif -default: libtommath.a - #default files to install ifndef LIBNAME LIBNAME=libtommath.a endif + +default: ${LIBNAME} + HEADERS=tommath.h tommath_class.h tommath_superclass.h #LIBPATH-The directory for libtommath to be installed to. diff --git a/libtommath/makefile.shared b/libtommath/makefile.shared index 8522d44..e230fb8 100644 --- a/libtommath/makefile.shared +++ b/libtommath/makefile.shared @@ -1,7 +1,7 @@ #Makefile for GCC # #Tom St Denis -VERSION=0:39 +VERSION=0:40 CC = libtool --mode=compile --tag=CC gcc -- cgit v0.12 From b7a189417b38e35bb825490a1b9a15fc8d138333 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 14 Mar 2011 11:59:15 +0000 Subject: Import of libtommath 0.41 Import of libtommath 0.41 --- libtommath/bn.ind | 130 +++--- libtommath/bn.pdf | Bin 340921 -> 345714 bytes libtommath/bn.tex | 6 +- libtommath/bn_mp_div_d.c | 11 +- libtommath/changes.txt | 4 + libtommath/libtommath.dsp | 572 ++++++++++++++++++++++++ libtommath/logs/addsub.png | Bin 6253 -> 6254 bytes libtommath/logs/expt.png | Bin 6604 -> 6605 bytes libtommath/logs/invmod.png | Bin 4917 -> 4918 bytes libtommath/logs/mult.png | Bin 6769 -> 6770 bytes libtommath/makefile | 2 +- libtommath/makefile.shared | 2 +- libtommath/pics/expt_state.tif | Bin 87540 -> 87542 bytes libtommath/pics/primality.tif | Bin 85512 -> 85514 bytes libtommath/poster.pdf | Bin 37822 -> 37821 bytes libtommath/pre_gen/mpi.c | 963 +++++++++++++++++++++-------------------- libtommath/tommath.pdf | Bin 1194158 -> 1183099 bytes 17 files changed, 1138 insertions(+), 552 deletions(-) create mode 100644 libtommath/libtommath.dsp diff --git a/libtommath/bn.ind b/libtommath/bn.ind index e5f7d4a..c099b52 100644 --- a/libtommath/bn.ind +++ b/libtommath/bn.ind @@ -1,82 +1,82 @@ \begin{theindex} - \item mp\_add, \hyperpage{29} - \item mp\_add\_d, \hyperpage{52} - \item mp\_and, \hyperpage{29} - \item mp\_clear, \hyperpage{11} - \item mp\_clear\_multi, \hyperpage{12} - \item mp\_cmp, \hyperpage{24} - \item mp\_cmp\_d, \hyperpage{25} + \item mp\_add, \hyperpage{31} + \item mp\_add\_d, \hyperpage{56} + \item mp\_and, \hyperpage{31} + \item mp\_clear, \hyperpage{12} + \item mp\_clear\_multi, \hyperpage{13} + \item mp\_cmp, \hyperpage{25} + \item mp\_cmp\_d, \hyperpage{26} \item mp\_cmp\_mag, \hyperpage{23} - \item mp\_div, \hyperpage{30} - \item mp\_div\_2, \hyperpage{26} - \item mp\_div\_2d, \hyperpage{28} - \item mp\_div\_d, \hyperpage{52} - \item mp\_dr\_reduce, \hyperpage{40} - \item mp\_dr\_setup, \hyperpage{40} - \item MP\_EQ, \hyperpage{22} - \item mp\_error\_to\_string, \hyperpage{10} - \item mp\_expt\_d, \hyperpage{43} - \item mp\_exptmod, \hyperpage{43} - \item mp\_exteuclid, \hyperpage{51} - \item mp\_gcd, \hyperpage{51} + \item mp\_div, \hyperpage{32} + \item mp\_div\_2, \hyperpage{28} + \item mp\_div\_2d, \hyperpage{30} + \item mp\_div\_d, \hyperpage{56} + \item mp\_dr\_reduce, \hyperpage{45} + \item mp\_dr\_setup, \hyperpage{45} + \item MP\_EQ, \hyperpage{23} + \item mp\_error\_to\_string, \hyperpage{9} + \item mp\_expt\_d, \hyperpage{47} + \item mp\_exptmod, \hyperpage{47} + \item mp\_exteuclid, \hyperpage{55} + \item mp\_gcd, \hyperpage{55} \item mp\_get\_int, \hyperpage{20} - \item mp\_grow, \hyperpage{16} - \item MP\_GT, \hyperpage{22} + \item mp\_grow, \hyperpage{17} + \item MP\_GT, \hyperpage{23} \item mp\_init, \hyperpage{11} - \item mp\_init\_copy, \hyperpage{13} - \item mp\_init\_multi, \hyperpage{12} + \item mp\_init\_copy, \hyperpage{14} + \item mp\_init\_multi, \hyperpage{13} \item mp\_init\_set, \hyperpage{21} \item mp\_init\_set\_int, \hyperpage{21} - \item mp\_init\_size, \hyperpage{14} + \item mp\_init\_size, \hyperpage{15} \item mp\_int, \hyperpage{10} - \item mp\_invmod, \hyperpage{52} - \item mp\_jacobi, \hyperpage{52} - \item mp\_lcm, \hyperpage{51} - \item mp\_lshd, \hyperpage{28} - \item MP\_LT, \hyperpage{22} + \item mp\_invmod, \hyperpage{56} + \item mp\_jacobi, \hyperpage{56} + \item mp\_lcm, \hyperpage{56} + \item mp\_lshd, \hyperpage{30} + \item MP\_LT, \hyperpage{23} \item MP\_MEM, \hyperpage{9} - \item mp\_mod, \hyperpage{35} - \item mp\_mod\_d, \hyperpage{52} - \item mp\_montgomery\_calc\_normalization, \hyperpage{38} - \item mp\_montgomery\_reduce, \hyperpage{37} - \item mp\_montgomery\_setup, \hyperpage{37} - \item mp\_mul, \hyperpage{31} - \item mp\_mul\_2, \hyperpage{26} - \item mp\_mul\_2d, \hyperpage{28} - \item mp\_mul\_d, \hyperpage{52} - \item mp\_n\_root, \hyperpage{44} - \item mp\_neg, \hyperpage{29} + \item mp\_mod, \hyperpage{39} + \item mp\_mod\_d, \hyperpage{56} + \item mp\_montgomery\_calc\_normalization, \hyperpage{42} + \item mp\_montgomery\_reduce, \hyperpage{42} + \item mp\_montgomery\_setup, \hyperpage{42} + \item mp\_mul, \hyperpage{33} + \item mp\_mul\_2, \hyperpage{28} + \item mp\_mul\_2d, \hyperpage{29} + \item mp\_mul\_d, \hyperpage{56} + \item mp\_n\_root, \hyperpage{48} + \item mp\_neg, \hyperpage{31, 32} \item MP\_NO, \hyperpage{9} \item MP\_OKAY, \hyperpage{9} - \item mp\_or, \hyperpage{29} - \item mp\_prime\_fermat, \hyperpage{45} - \item mp\_prime\_is\_divisible, \hyperpage{45} - \item mp\_prime\_is\_prime, \hyperpage{46} - \item mp\_prime\_miller\_rabin, \hyperpage{45} - \item mp\_prime\_next\_prime, \hyperpage{46} - \item mp\_prime\_rabin\_miller\_trials, \hyperpage{46} - \item mp\_prime\_random, \hyperpage{47} - \item mp\_prime\_random\_ex, \hyperpage{47} - \item mp\_radix\_size, \hyperpage{49} - \item mp\_read\_radix, \hyperpage{49} - \item mp\_read\_unsigned\_bin, \hyperpage{50} - \item mp\_reduce, \hyperpage{36} - \item mp\_reduce\_2k, \hyperpage{41} - \item mp\_reduce\_2k\_setup, \hyperpage{41} - \item mp\_reduce\_setup, \hyperpage{36} - \item mp\_rshd, \hyperpage{28} + \item mp\_or, \hyperpage{31} + \item mp\_prime\_fermat, \hyperpage{49} + \item mp\_prime\_is\_divisible, \hyperpage{49} + \item mp\_prime\_is\_prime, \hyperpage{51} + \item mp\_prime\_miller\_rabin, \hyperpage{50} + \item mp\_prime\_next\_prime, \hyperpage{51} + \item mp\_prime\_rabin\_miller\_trials, \hyperpage{50} + \item mp\_prime\_random, \hyperpage{51} + \item mp\_prime\_random\_ex, \hyperpage{52} + \item mp\_radix\_size, \hyperpage{53} + \item mp\_read\_radix, \hyperpage{53} + \item mp\_read\_unsigned\_bin, \hyperpage{54} + \item mp\_reduce, \hyperpage{40} + \item mp\_reduce\_2k, \hyperpage{46} + \item mp\_reduce\_2k\_setup, \hyperpage{46} + \item mp\_reduce\_setup, \hyperpage{40} + \item mp\_rshd, \hyperpage{30} \item mp\_set, \hyperpage{19} \item mp\_set\_int, \hyperpage{20} - \item mp\_shrink, \hyperpage{15} - \item mp\_sqr, \hyperpage{33} - \item mp\_sub, \hyperpage{29} - \item mp\_sub\_d, \hyperpage{52} - \item mp\_to\_unsigned\_bin, \hyperpage{50} - \item mp\_toradix, \hyperpage{49} - \item mp\_unsigned\_bin\_size, \hyperpage{50} + \item mp\_shrink, \hyperpage{16} + \item mp\_sqr, \hyperpage{35} + \item mp\_sub, \hyperpage{31} + \item mp\_sub\_d, \hyperpage{56} + \item mp\_to\_unsigned\_bin, \hyperpage{54} + \item mp\_toradix, \hyperpage{53} + \item mp\_unsigned\_bin\_size, \hyperpage{54} \item MP\_VAL, \hyperpage{9} - \item mp\_xor, \hyperpage{29} + \item mp\_xor, \hyperpage{31} \item MP\_YES, \hyperpage{9} \end{theindex} diff --git a/libtommath/bn.pdf b/libtommath/bn.pdf index 392b649..5be7123 100644 Binary files a/libtommath/bn.pdf and b/libtommath/bn.pdf differ diff --git a/libtommath/bn.tex b/libtommath/bn.tex index e8eb994..9017860 100644 --- a/libtommath/bn.tex +++ b/libtommath/bn.tex @@ -1,4 +1,4 @@ -\documentclass[b5paper]{book} +\documentclass[synpaper]{book} \usepackage{hyperref} \usepackage{makeidx} \usepackage{amssymb} @@ -49,8 +49,8 @@ \begin{document} \frontmatter \pagestyle{empty} -\title{LibTomMath User Manual \\ v0.39} -\author{Tom St Denis \\ tomstdenis@iahu.ca} +\title{LibTomMath User Manual \\ v0.41} +\author{Tom St Denis \\ tomstdenis@gmail.com} \maketitle This text, the library and the accompanying textbook are all hereby placed in the public domain. This book has been formatted for B5 [176x250] paper using the \LaTeX{} {\em book} macro package. diff --git a/libtommath/bn_mp_div_d.c b/libtommath/bn_mp_div_d.c index d64b4b5..6a26d4f 100644 --- a/libtommath/bn_mp_div_d.c +++ b/libtommath/bn_mp_div_d.c @@ -19,7 +19,12 @@ static int s_is_power_of_two(mp_digit b, int *p) { int x; - for (x = 1; x < DIGIT_BIT; x++) { + /* fast return if no power of two */ + if ((b==0) || (b & (b-1))) { + return 0; + } + + for (x = 0; x < DIGIT_BIT; x++) { if (b == (((mp_digit)1)< +# Microsoft Developer Studio Generated Build File, Format Version 6.00 +# ** DO NOT EDIT ** + +# TARGTYPE "Win32 (x86) Static Library" 0x0104 + +CFG=libtommath - Win32 Debug +!MESSAGE This is not a valid makefile. To build this project using NMAKE, +!MESSAGE use the Export Makefile command and run +!MESSAGE +!MESSAGE NMAKE /f "libtommath.mak". +!MESSAGE +!MESSAGE You can specify a configuration when running NMAKE +!MESSAGE by defining the macro CFG on the command line. For example: +!MESSAGE +!MESSAGE NMAKE /f "libtommath.mak" CFG="libtommath - Win32 Debug" +!MESSAGE +!MESSAGE Possible choices for configuration are: +!MESSAGE +!MESSAGE "libtommath - Win32 Release" (based on "Win32 (x86) Static Library") +!MESSAGE "libtommath - Win32 Debug" (based on "Win32 (x86) Static Library") +!MESSAGE + +# Begin Project +# PROP AllowPerConfigDependencies 0 +# PROP Scc_ProjName "libtommath" +# PROP Scc_LocalPath "." +CPP=cl.exe +RSC=rc.exe + +!IF "$(CFG)" == "libtommath - Win32 Release" + +# PROP BASE Use_MFC 0 +# PROP BASE Use_Debug_Libraries 0 +# PROP BASE Output_Dir "Release" +# PROP BASE Intermediate_Dir "Release" +# PROP BASE Target_Dir "" +# PROP Use_MFC 0 +# PROP Use_Debug_Libraries 0 +# PROP Output_Dir "Release" +# PROP Intermediate_Dir "Release" +# PROP Target_Dir "" +# ADD BASE CPP /nologo /W3 /GX /O2 /D "WIN32" /D "NDEBUG" /D "_MBCS" /D "_LIB" /YX /FD /c +# ADD CPP /nologo /W3 /GX /O2 /I "." /D "WIN32" /D "NDEBUG" /D "_MBCS" /D "_LIB" /YX /FD /c +# ADD 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+!ENDIF + +# Begin Target + +# Name "libtommath - Win32 Release" +# Name "libtommath - Win32 Debug" +# Begin Source File + +SOURCE=.\bn_error.c +# End Source File +# Begin Source File + +SOURCE=.\bn_fast_mp_invmod.c +# End Source File +# Begin Source File + +SOURCE=.\bn_fast_mp_montgomery_reduce.c +# End Source File +# Begin Source File + +SOURCE=.\bn_fast_s_mp_mul_digs.c +# End Source File +# Begin Source File + +SOURCE=.\bn_fast_s_mp_mul_high_digs.c +# End Source File +# Begin Source File + +SOURCE=.\bn_fast_s_mp_sqr.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_2expt.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_abs.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_add.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_add_d.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_addmod.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_and.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_clamp.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_clear.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_clear_multi.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_cmp.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_cmp_d.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_cmp_mag.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_cnt_lsb.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_copy.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_count_bits.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_div.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_div_2.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_div_2d.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_div_3.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_div_d.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_dr_is_modulus.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_dr_reduce.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_dr_setup.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_exch.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_expt_d.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_exptmod.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_exptmod_fast.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_exteuclid.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_fread.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_fwrite.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_gcd.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_get_int.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_grow.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_init.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_init_copy.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_init_multi.c +# End Source File +# Begin Source File + 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+SOURCE=.\bn_mp_montgomery_calc_normalization.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_montgomery_reduce.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_montgomery_setup.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_mul.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_mul_2.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_mul_2d.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_mul_d.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_mulmod.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_n_root.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_neg.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_or.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_prime_fermat.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_prime_is_divisible.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_prime_is_prime.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_prime_miller_rabin.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_prime_next_prime.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_prime_rabin_miller_trials.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_prime_random_ex.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_radix_size.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_radix_smap.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_rand.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_read_radix.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_read_signed_bin.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_read_unsigned_bin.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_reduce.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_reduce_2k.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_reduce_2k_l.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_reduce_2k_setup.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_reduce_2k_setup_l.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_reduce_is_2k.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_reduce_is_2k_l.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_reduce_setup.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_rshd.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_set.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_set_int.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_shrink.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_signed_bin_size.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_sqr.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_sqrmod.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_sqrt.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_sub.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_sub_d.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_submod.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_to_signed_bin.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_to_signed_bin_n.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_to_unsigned_bin.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_to_unsigned_bin_n.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_toom_mul.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_toom_sqr.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_toradix.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_toradix_n.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_unsigned_bin_size.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_xor.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_zero.c +# End Source File +# Begin Source File + +SOURCE=.\bn_prime_tab.c +# End Source File +# Begin Source File + +SOURCE=.\bn_reverse.c +# End Source File +# Begin Source File + +SOURCE=.\bn_s_mp_add.c +# End Source File +# Begin Source File + +SOURCE=.\bn_s_mp_exptmod.c +# End Source File +# Begin Source File + +SOURCE=.\bn_s_mp_mul_digs.c +# End Source File +# Begin Source File + +SOURCE=.\bn_s_mp_mul_high_digs.c +# End Source File +# Begin Source File + +SOURCE=.\bn_s_mp_sqr.c +# End Source File +# Begin Source File + +SOURCE=.\bn_s_mp_sub.c +# End Source File +# Begin Source File + +SOURCE=.\bncore.c +# End Source File +# Begin Source File + +SOURCE=.\tommath.h +# End Source File +# Begin Source File + +SOURCE=.\tommath_class.h +# End Source File +# Begin Source File + +SOURCE=.\tommath_superclass.h +# End Source File +# End Target +# End Project diff --git a/libtommath/logs/addsub.png b/libtommath/logs/addsub.png index 441c7b2..a5679ac 100644 Binary files a/libtommath/logs/addsub.png and b/libtommath/logs/addsub.png differ diff --git a/libtommath/logs/expt.png b/libtommath/logs/expt.png index d779cc5..9ee8bb7 100644 Binary files a/libtommath/logs/expt.png and b/libtommath/logs/expt.png differ diff --git a/libtommath/logs/invmod.png b/libtommath/logs/invmod.png index 9dcd7d8..0a8a4ad 100644 Binary files a/libtommath/logs/invmod.png and b/libtommath/logs/invmod.png differ diff --git a/libtommath/logs/mult.png b/libtommath/logs/mult.png index d22e8c8..4f7a4ee 100644 Binary files a/libtommath/logs/mult.png and b/libtommath/logs/mult.png differ diff --git a/libtommath/makefile b/libtommath/makefile index 9f69678..3e254d4 100644 --- a/libtommath/makefile +++ b/libtommath/makefile @@ -3,7 +3,7 @@ #Tom St Denis #version of library -VERSION=0.40 +VERSION=0.41 CFLAGS += -I./ -Wall -W -Wshadow -Wsign-compare diff --git a/libtommath/makefile.shared b/libtommath/makefile.shared index e230fb8..f17bbbd 100644 --- a/libtommath/makefile.shared +++ b/libtommath/makefile.shared @@ -1,7 +1,7 @@ #Makefile for GCC # #Tom St Denis -VERSION=0:40 +VERSION=0:41 CC = libtool --mode=compile --tag=CC gcc diff --git a/libtommath/pics/expt_state.tif b/libtommath/pics/expt_state.tif index 0aaee39..cb06e8e 100644 Binary files a/libtommath/pics/expt_state.tif and b/libtommath/pics/expt_state.tif differ diff --git a/libtommath/pics/primality.tif b/libtommath/pics/primality.tif index 83aafe0..76d6be3 100644 Binary files a/libtommath/pics/primality.tif and b/libtommath/pics/primality.tif differ diff --git a/libtommath/poster.pdf b/libtommath/poster.pdf index 1f705cf..f3768d7 100644 Binary files a/libtommath/poster.pdf and b/libtommath/poster.pdf differ diff --git a/libtommath/pre_gen/mpi.c b/libtommath/pre_gen/mpi.c index 62ec029..b7f4d47 100644 --- a/libtommath/pre_gen/mpi.c +++ b/libtommath/pre_gen/mpi.c @@ -13,7 +13,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ static const struct { @@ -43,9 +43,9 @@ char *mp_error_to_string(int code) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_error.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_error.c */ @@ -64,7 +64,7 @@ char *mp_error_to_string(int code) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* computes the modular inverse via binary extended euclidean algorithm, @@ -195,9 +195,9 @@ LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &B, &D, NULL); } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_fast_mp_invmod.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_fast_mp_invmod.c */ @@ -216,7 +216,7 @@ LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &B, &D, NULL); * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* computes xR**-1 == x (mod N) via Montgomery Reduction @@ -371,9 +371,9 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_fast_mp_montgomery_reduce.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_fast_mp_montgomery_reduce.c */ @@ -392,7 +392,7 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* Fast (comba) multiplier @@ -482,9 +482,9 @@ int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_fast_s_mp_mul_digs.c,v $ */ +/* $Revision: 1.8 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_fast_s_mp_mul_digs.c */ @@ -503,7 +503,7 @@ int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* this is a modified version of fast_s_mul_digs that only produces @@ -569,7 +569,7 @@ int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) register mp_digit *tmpc; tmpc = c->dp + digs; - for (ix = digs; ix <= pa; ix++) { + for (ix = digs; ix < pa; ix++) { /* now extract the previous digit [below the carry] */ *tmpc++ = W[ix]; } @@ -584,9 +584,9 @@ int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_fast_s_mp_mul_high_digs.c,v $ */ +/* $Revision: 1.6 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_fast_s_mp_mul_high_digs.c */ @@ -605,7 +605,7 @@ int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* the jist of squaring... @@ -702,9 +702,9 @@ int fast_s_mp_sqr (mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_fast_s_mp_sqr.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_fast_s_mp_sqr.c */ @@ -723,7 +723,7 @@ int fast_s_mp_sqr (mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* computes a = 2**b @@ -754,9 +754,9 @@ mp_2expt (mp_int * a, int b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_2expt.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_2expt.c */ @@ -775,7 +775,7 @@ mp_2expt (mp_int * a, int b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* b = |a| @@ -801,9 +801,9 @@ mp_abs (mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_abs.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_abs.c */ @@ -822,7 +822,7 @@ mp_abs (mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* high level addition (handles signs) */ @@ -858,9 +858,9 @@ int mp_add (mp_int * a, mp_int * b, mp_int * c) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_add.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_add.c */ @@ -879,7 +879,7 @@ int mp_add (mp_int * a, mp_int * b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* single digit addition */ @@ -974,9 +974,9 @@ mp_add_d (mp_int * a, mp_digit b, mp_int * c) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_add_d.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_add_d.c */ @@ -995,7 +995,7 @@ mp_add_d (mp_int * a, mp_digit b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* d = a + b (mod c) */ @@ -1019,9 +1019,9 @@ mp_addmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_addmod.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_addmod.c */ @@ -1040,7 +1040,7 @@ mp_addmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* AND two ints together */ @@ -1080,9 +1080,9 @@ mp_and (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_and.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_and.c */ @@ -1101,7 +1101,7 @@ mp_and (mp_int * a, mp_int * b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* trim unused digits @@ -1128,9 +1128,9 @@ mp_clamp (mp_int * a) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_clamp.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_clamp.c */ @@ -1149,7 +1149,7 @@ mp_clamp (mp_int * a) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* clear one (frees) */ @@ -1176,9 +1176,9 @@ mp_clear (mp_int * a) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_clear.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_clear.c */ @@ -1197,7 +1197,7 @@ mp_clear (mp_int * a) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ #include @@ -1214,9 +1214,9 @@ void mp_clear_multi(mp_int *mp, ...) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_clear_multi.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_clear_multi.c */ @@ -1235,7 +1235,7 @@ void mp_clear_multi(mp_int *mp, ...) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* compare two ints (signed)*/ @@ -1261,9 +1261,9 @@ mp_cmp (mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_cmp.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_cmp.c */ @@ -1282,7 +1282,7 @@ mp_cmp (mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* compare a digit */ @@ -1309,9 +1309,9 @@ int mp_cmp_d(mp_int * a, mp_digit b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_cmp_d.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_cmp_d.c */ @@ -1330,7 +1330,7 @@ int mp_cmp_d(mp_int * a, mp_digit b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* compare maginitude of two ints (unsigned) */ @@ -1368,9 +1368,9 @@ int mp_cmp_mag (mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_cmp_mag.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_cmp_mag.c */ @@ -1389,7 +1389,7 @@ int mp_cmp_mag (mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ static const int lnz[16] = { @@ -1425,9 +1425,9 @@ int mp_cnt_lsb(mp_int *a) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_cnt_lsb.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_cnt_lsb.c */ @@ -1446,7 +1446,7 @@ int mp_cnt_lsb(mp_int *a) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* copy, b = a */ @@ -1497,9 +1497,9 @@ mp_copy (mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_copy.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_copy.c */ @@ -1518,7 +1518,7 @@ mp_copy (mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* returns the number of bits in an int */ @@ -1546,9 +1546,9 @@ mp_count_bits (mp_int * a) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_count_bits.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_count_bits.c */ @@ -1567,7 +1567,7 @@ mp_count_bits (mp_int * a) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ #ifdef BN_MP_DIV_SMALL @@ -1842,9 +1842,9 @@ LBL_Q:mp_clear (&q); #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_div.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_div.c */ @@ -1863,7 +1863,7 @@ LBL_Q:mp_clear (&q); * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* b = a/2 */ @@ -1914,9 +1914,9 @@ int mp_div_2(mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_div_2.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_div_2.c */ @@ -1935,7 +1935,7 @@ int mp_div_2(mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* shift right by a certain bit count (store quotient in c, optional remainder in d) */ @@ -2015,9 +2015,9 @@ int mp_div_2d (mp_int * a, int b, mp_int * c, mp_int * d) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_div_2d.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_div_2d.c */ @@ -2036,7 +2036,7 @@ int mp_div_2d (mp_int * a, int b, mp_int * c, mp_int * d) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* divide by three (based on routine from MPI and the GMP manual) */ @@ -2098,9 +2098,9 @@ mp_div_3 (mp_int * a, mp_int *c, mp_digit * d) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_div_3.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_div_3.c */ @@ -2119,14 +2119,19 @@ mp_div_3 (mp_int * a, mp_int *c, mp_digit * d) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ static int s_is_power_of_two(mp_digit b, int *p) { int x; - for (x = 1; x < DIGIT_BIT; x++) { + /* fast return if no power of two */ + if ((b==0) || (b & (b-1))) { + return 0; + } + + for (x = 0; x < DIGIT_BIT; x++) { if (b == (((mp_digit)1)< @@ -3514,9 +3519,9 @@ int mp_init_multi(mp_int *mp, ...) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_init_multi.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_init_multi.c */ @@ -3535,7 +3540,7 @@ int mp_init_multi(mp_int *mp, ...) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* initialize and set a digit */ @@ -3550,9 +3555,9 @@ int mp_init_set (mp_int * a, mp_digit b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_init_set.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_init_set.c */ @@ -3571,7 +3576,7 @@ int mp_init_set (mp_int * a, mp_digit b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* initialize and set a digit */ @@ -3585,9 +3590,9 @@ int mp_init_set_int (mp_int * a, unsigned long b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_init_set_int.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_init_set_int.c */ @@ -3606,7 +3611,7 @@ int mp_init_set_int (mp_int * a, unsigned long b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* init an mp_init for a given size */ @@ -3637,9 +3642,9 @@ int mp_init_size (mp_int * a, int size) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_init_size.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_init_size.c */ @@ -3658,7 +3663,7 @@ int mp_init_size (mp_int * a, int size) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* hac 14.61, pp608 */ @@ -3684,9 +3689,9 @@ int mp_invmod (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_invmod.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_invmod.c */ @@ -3705,7 +3710,7 @@ int mp_invmod (mp_int * a, mp_int * b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* hac 14.61, pp608 */ @@ -3863,9 +3868,9 @@ LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &A, &B, &C, &D, NULL); } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_invmod_slow.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_invmod_slow.c */ @@ -3884,7 +3889,7 @@ LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &A, &B, &C, &D, NULL); * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* Check if remainders are possible squares - fast exclude non-squares */ @@ -3976,9 +3981,9 @@ ERR:mp_clear(&t); } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_is_square.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_is_square.c */ @@ -3997,7 +4002,7 @@ ERR:mp_clear(&t); * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* computes the jacobi c = (a | n) (or Legendre if n is prime) @@ -4085,9 +4090,9 @@ LBL_A1:mp_clear (&a1); } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_jacobi.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_jacobi.c */ @@ -4106,7 +4111,7 @@ LBL_A1:mp_clear (&a1); * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* c = |a| * |b| using Karatsuba Multiplication using @@ -4256,9 +4261,9 @@ ERR: } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_karatsuba_mul.c,v $ */ +/* $Revision: 1.6 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_karatsuba_mul.c */ @@ -4277,7 +4282,7 @@ ERR: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* Karatsuba squaring, computes b = a*a using three @@ -4381,9 +4386,9 @@ ERR: } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_karatsuba_sqr.c,v $ */ +/* $Revision: 1.6 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_karatsuba_sqr.c */ @@ -4402,7 +4407,7 @@ ERR: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* computes least common multiple as |a*b|/(a, b) */ @@ -4445,9 +4450,9 @@ LBL_T: } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_lcm.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_lcm.c */ @@ -4466,7 +4471,7 @@ LBL_T: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* shift left a certain amount of digits */ @@ -4516,9 +4521,9 @@ int mp_lshd (mp_int * a, int b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_lshd.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_lshd.c */ @@ -4537,7 +4542,7 @@ int mp_lshd (mp_int * a, int b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* c = a mod b, 0 <= c < b */ @@ -4568,9 +4573,9 @@ mp_mod (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_mod.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_mod.c */ @@ -4589,7 +4594,7 @@ mp_mod (mp_int * a, mp_int * b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* calc a value mod 2**b */ @@ -4627,9 +4632,9 @@ mp_mod_2d (mp_int * a, int b, mp_int * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_mod_2d.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_mod_2d.c */ @@ -4648,7 +4653,7 @@ mp_mod_2d (mp_int * a, int b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ int @@ -4658,9 +4663,9 @@ mp_mod_d (mp_int * a, mp_digit b, mp_digit * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_mod_d.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_mod_d.c */ @@ -4679,7 +4684,7 @@ mp_mod_d (mp_int * a, mp_digit b, mp_digit * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* @@ -4721,9 +4726,9 @@ int mp_montgomery_calc_normalization (mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_montgomery_calc_normalization.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_montgomery_calc_normalization.c */ @@ -4742,7 +4747,7 @@ int mp_montgomery_calc_normalization (mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* computes xR**-1 == x (mod N) via Montgomery Reduction */ @@ -4843,9 +4848,9 @@ mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_montgomery_reduce.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_montgomery_reduce.c */ @@ -4864,7 +4869,7 @@ mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* setups the montgomery reduction stuff */ @@ -4900,15 +4905,15 @@ mp_montgomery_setup (mp_int * n, mp_digit * rho) #endif /* rho = -1/m mod b */ - *rho = (((mp_word)1 << ((mp_word) DIGIT_BIT)) - x) & MP_MASK; + *rho = (unsigned long)(((mp_word)1 << ((mp_word) DIGIT_BIT)) - x) & MP_MASK; return MP_OKAY; } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_montgomery_setup.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_montgomery_setup.c */ @@ -4927,7 +4932,7 @@ mp_montgomery_setup (mp_int * n, mp_digit * rho) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* high level multiplication (handles sign) */ @@ -4976,9 +4981,9 @@ int mp_mul (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_mul.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_mul.c */ @@ -4997,7 +5002,7 @@ int mp_mul (mp_int * a, mp_int * b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* b = a*2 */ @@ -5062,9 +5067,9 @@ int mp_mul_2(mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_mul_2.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_mul_2.c */ @@ -5083,7 +5088,7 @@ int mp_mul_2(mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* shift left by a certain bit count */ @@ -5151,9 +5156,9 @@ int mp_mul_2d (mp_int * a, int b, mp_int * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_mul_2d.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_mul_2d.c */ @@ -5172,7 +5177,7 @@ int mp_mul_2d (mp_int * a, int b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* multiply by a digit */ @@ -5234,9 +5239,9 @@ mp_mul_d (mp_int * a, mp_digit b, mp_int * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_mul_d.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_mul_d.c */ @@ -5255,7 +5260,7 @@ mp_mul_d (mp_int * a, mp_digit b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* d = a * b (mod c) */ @@ -5278,9 +5283,9 @@ int mp_mulmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_mulmod.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_mulmod.c */ @@ -5299,7 +5304,7 @@ int mp_mulmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* find the n'th root of an integer @@ -5414,9 +5419,9 @@ LBL_T1:mp_clear (&t1); } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_n_root.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_n_root.c */ @@ -5435,7 +5440,7 @@ LBL_T1:mp_clear (&t1); * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* b = -a */ @@ -5458,9 +5463,9 @@ int mp_neg (mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_neg.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_neg.c */ @@ -5479,7 +5484,7 @@ int mp_neg (mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* OR two ints together */ @@ -5512,9 +5517,9 @@ int mp_or (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_or.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_or.c */ @@ -5533,7 +5538,7 @@ int mp_or (mp_int * a, mp_int * b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* performs one Fermat test. @@ -5578,9 +5583,9 @@ LBL_T:mp_clear (&t); } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_prime_fermat.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_prime_fermat.c */ @@ -5599,7 +5604,7 @@ LBL_T:mp_clear (&t); * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* determines if an integers is divisible by one @@ -5632,9 +5637,9 @@ int mp_prime_is_divisible (mp_int * a, int *result) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_prime_is_divisible.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_prime_is_divisible.c */ @@ -5653,7 +5658,7 @@ int mp_prime_is_divisible (mp_int * a, int *result) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* performs a variable number of rounds of Miller-Rabin @@ -5719,9 +5724,9 @@ LBL_B:mp_clear (&b); } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_prime_is_prime.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_prime_is_prime.c */ @@ -5740,7 +5745,7 @@ LBL_B:mp_clear (&b); * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* Miller-Rabin test of "a" to the base of "b" as described in @@ -5826,9 +5831,9 @@ LBL_N1:mp_clear (&n1); } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_prime_miller_rabin.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_prime_miller_rabin.c */ @@ -5847,7 +5852,7 @@ LBL_N1:mp_clear (&n1); * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* finds the next prime after the number "a" using "t" trials @@ -6000,9 +6005,9 @@ LBL_ERR: #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_prime_next_prime.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_prime_next_prime.c */ @@ -6021,7 +6026,7 @@ LBL_ERR: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ @@ -6056,9 +6061,9 @@ int mp_prime_rabin_miller_trials(int size) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_prime_rabin_miller_trials.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_prime_rabin_miller_trials.c */ @@ -6077,7 +6082,7 @@ int mp_prime_rabin_miller_trials(int size) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* makes a truly random prime of a given size (bits), @@ -6185,9 +6190,9 @@ error: #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_prime_random_ex.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_prime_random_ex.c */ @@ -6206,7 +6211,7 @@ error: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* returns size of ASCII reprensentation */ @@ -6267,9 +6272,9 @@ int mp_radix_size (mp_int * a, int radix, int *size) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_radix_size.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_radix_size.c */ @@ -6288,16 +6293,16 @@ int mp_radix_size (mp_int * a, int radix, int *size) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* chars used in radix conversions */ const char *mp_s_rmap = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz+/"; #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_radix_smap.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_radix_smap.c */ @@ -6316,7 +6321,7 @@ const char *mp_s_rmap = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrs * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* makes a pseudo-random int of a given size */ @@ -6354,9 +6359,9 @@ mp_rand (mp_int * a, int digits) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_rand.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_rand.c */ @@ -6375,7 +6380,7 @@ mp_rand (mp_int * a, int digits) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* read a string [ASCII] in a given radix */ @@ -6443,9 +6448,9 @@ int mp_read_radix (mp_int * a, const char *str, int radix) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_read_radix.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_read_radix.c */ @@ -6464,7 +6469,7 @@ int mp_read_radix (mp_int * a, const char *str, int radix) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* read signed bin, big endian, first byte is 0==positive or 1==negative */ @@ -6488,9 +6493,9 @@ int mp_read_signed_bin (mp_int * a, const unsigned char *b, int c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_read_signed_bin.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_read_signed_bin.c */ @@ -6509,7 +6514,7 @@ int mp_read_signed_bin (mp_int * a, const unsigned char *b, int c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* reads a unsigned char array, assumes the msb is stored first [big endian] */ @@ -6547,9 +6552,9 @@ int mp_read_unsigned_bin (mp_int * a, const unsigned char *b, int c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_read_unsigned_bin.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_read_unsigned_bin.c */ @@ -6568,7 +6573,7 @@ int mp_read_unsigned_bin (mp_int * a, const unsigned char *b, int c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* reduces x mod m, assumes 0 < x < m**2, mu is @@ -6651,9 +6656,9 @@ CLEANUP: } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_reduce.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_reduce.c */ @@ -6672,7 +6677,7 @@ CLEANUP: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* reduces a modulo n where n is of the form 2**p - d */ @@ -6716,9 +6721,9 @@ ERR: #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_2k.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_reduce_2k.c */ @@ -6737,7 +6742,7 @@ ERR: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* reduces a modulo n where n is of the form 2**p - d @@ -6782,9 +6787,9 @@ ERR: #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_2k_l.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_reduce_2k_l.c */ @@ -6803,7 +6808,7 @@ ERR: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* determines the setup value */ @@ -6833,9 +6838,9 @@ int mp_reduce_2k_setup(mp_int *a, mp_digit *d) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_2k_setup.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_reduce_2k_setup.c */ @@ -6854,7 +6859,7 @@ int mp_reduce_2k_setup(mp_int *a, mp_digit *d) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* determines the setup value */ @@ -6881,9 +6886,9 @@ ERR: } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_2k_setup_l.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_reduce_2k_setup_l.c */ @@ -6902,7 +6907,7 @@ ERR: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* determines if mp_reduce_2k can be used */ @@ -6937,9 +6942,9 @@ int mp_reduce_is_2k(mp_int *a) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_is_2k.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_reduce_is_2k.c */ @@ -6958,7 +6963,7 @@ int mp_reduce_is_2k(mp_int *a) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* determines if reduce_2k_l can be used */ @@ -6985,9 +6990,9 @@ int mp_reduce_is_2k_l(mp_int *a) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_is_2k_l.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_reduce_is_2k_l.c */ @@ -7006,7 +7011,7 @@ int mp_reduce_is_2k_l(mp_int *a) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* pre-calculate the value required for Barrett reduction @@ -7023,9 +7028,9 @@ int mp_reduce_setup (mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_setup.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_reduce_setup.c */ @@ -7044,7 +7049,7 @@ int mp_reduce_setup (mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* shift right a certain amount of digits */ @@ -7099,9 +7104,9 @@ void mp_rshd (mp_int * a, int b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_rshd.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_rshd.c */ @@ -7120,7 +7125,7 @@ void mp_rshd (mp_int * a, int b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* set to a digit */ @@ -7132,9 +7137,9 @@ void mp_set (mp_int * a, mp_digit b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_set.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_set.c */ @@ -7153,7 +7158,7 @@ void mp_set (mp_int * a, mp_digit b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* set a 32-bit const */ @@ -7184,9 +7189,9 @@ int mp_set_int (mp_int * a, unsigned long b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_set_int.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_set_int.c */ @@ -7205,7 +7210,7 @@ int mp_set_int (mp_int * a, unsigned long b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* shrink a bignum */ @@ -7223,9 +7228,9 @@ int mp_shrink (mp_int * a) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_shrink.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_shrink.c */ @@ -7244,7 +7249,7 @@ int mp_shrink (mp_int * a) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* get the size for an signed equivalent */ @@ -7254,9 +7259,9 @@ int mp_signed_bin_size (mp_int * a) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_signed_bin_size.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_signed_bin_size.c */ @@ -7275,7 +7280,7 @@ int mp_signed_bin_size (mp_int * a) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* computes b = a*a */ @@ -7316,9 +7321,9 @@ if (a->used >= KARATSUBA_SQR_CUTOFF) { } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_sqr.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_sqr.c */ @@ -7337,7 +7342,7 @@ if (a->used >= KARATSUBA_SQR_CUTOFF) { * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* c = a * a (mod b) */ @@ -7361,9 +7366,9 @@ mp_sqrmod (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_sqrmod.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_sqrmod.c */ @@ -7382,7 +7387,7 @@ mp_sqrmod (mp_int * a, mp_int * b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* this function is less generic than mp_n_root, simpler and faster */ @@ -7446,9 +7451,9 @@ E2: mp_clear(&t1); #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_sqrt.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_sqrt.c */ @@ -7467,7 +7472,7 @@ E2: mp_clear(&t1); * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* high level subtraction (handles signs) */ @@ -7509,9 +7514,9 @@ mp_sub (mp_int * a, mp_int * b, mp_int * c) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_sub.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_sub.c */ @@ -7530,7 +7535,7 @@ mp_sub (mp_int * a, mp_int * b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* single digit subtraction */ @@ -7606,9 +7611,9 @@ mp_sub_d (mp_int * a, mp_digit b, mp_int * c) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_sub_d.c,v $ */ +/* $Revision: 1.6 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_sub_d.c */ @@ -7627,7 +7632,7 @@ mp_sub_d (mp_int * a, mp_digit b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* d = a - b (mod c) */ @@ -7652,9 +7657,9 @@ mp_submod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_submod.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_submod.c */ @@ -7673,7 +7678,7 @@ mp_submod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* store in signed [big endian] format */ @@ -7689,9 +7694,9 @@ int mp_to_signed_bin (mp_int * a, unsigned char *b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_to_signed_bin.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_to_signed_bin.c */ @@ -7710,7 +7715,7 @@ int mp_to_signed_bin (mp_int * a, unsigned char *b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* store in signed [big endian] format */ @@ -7724,9 +7729,9 @@ int mp_to_signed_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_to_signed_bin_n.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_to_signed_bin_n.c */ @@ -7745,7 +7750,7 @@ int mp_to_signed_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* store in unsigned [big endian] format */ @@ -7776,9 +7781,9 @@ int mp_to_unsigned_bin (mp_int * a, unsigned char *b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_to_unsigned_bin.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_to_unsigned_bin.c */ @@ -7797,7 +7802,7 @@ int mp_to_unsigned_bin (mp_int * a, unsigned char *b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* store in unsigned [big endian] format */ @@ -7811,9 +7816,9 @@ int mp_to_unsigned_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_to_unsigned_bin_n.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_to_unsigned_bin_n.c */ @@ -7832,7 +7837,7 @@ int mp_to_unsigned_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* multiplication using the Toom-Cook 3-way algorithm @@ -8099,9 +8104,9 @@ ERR: #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_toom_mul.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_toom_mul.c */ @@ -8120,7 +8125,7 @@ ERR: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* squaring using Toom-Cook 3-way algorithm */ @@ -8329,9 +8334,9 @@ ERR: #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_toom_sqr.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_toom_sqr.c */ @@ -8350,7 +8355,7 @@ ERR: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* stores a bignum as a ASCII string in a given radix (2..64) */ @@ -8408,9 +8413,9 @@ int mp_toradix (mp_int * a, char *str, int radix) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_toradix.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_toradix.c */ @@ -8429,7 +8434,7 @@ int mp_toradix (mp_int * a, char *str, int radix) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* stores a bignum as a ASCII string in a given radix (2..64) @@ -8500,9 +8505,9 @@ int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_toradix_n.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_toradix_n.c */ @@ -8521,7 +8526,7 @@ int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* get the size for an unsigned equivalent */ @@ -8532,9 +8537,9 @@ int mp_unsigned_bin_size (mp_int * a) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_unsigned_bin_size.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_unsigned_bin_size.c */ @@ -8553,7 +8558,7 @@ int mp_unsigned_bin_size (mp_int * a) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* XOR two ints together */ @@ -8587,9 +8592,9 @@ mp_xor (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_xor.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_xor.c */ @@ -8608,7 +8613,7 @@ mp_xor (mp_int * a, mp_int * b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* set to zero */ @@ -8627,9 +8632,9 @@ void mp_zero (mp_int * a) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_zero.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_zero.c */ @@ -8648,7 +8653,7 @@ void mp_zero (mp_int * a) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ const mp_digit ltm_prime_tab[] = { 0x0002, 0x0003, 0x0005, 0x0007, 0x000B, 0x000D, 0x0011, 0x0013, @@ -8692,9 +8697,9 @@ const mp_digit ltm_prime_tab[] = { }; #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_prime_tab.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_prime_tab.c */ @@ -8713,7 +8718,7 @@ const mp_digit ltm_prime_tab[] = { * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* reverse an array, used for radix code */ @@ -8735,9 +8740,9 @@ bn_reverse (unsigned char *s, int len) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_reverse.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_reverse.c */ @@ -8756,7 +8761,7 @@ bn_reverse (unsigned char *s, int len) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* low level addition, based on HAC pp.594, Algorithm 14.7 */ @@ -8848,9 +8853,9 @@ s_mp_add (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_s_mp_add.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_s_mp_add.c */ @@ -8869,7 +8874,7 @@ s_mp_add (mp_int * a, mp_int * b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ #ifdef MP_LOW_MEM #define TAB_SIZE 32 @@ -9104,9 +9109,9 @@ LBL_M: } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_s_mp_exptmod.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_s_mp_exptmod.c */ @@ -9125,7 +9130,7 @@ LBL_M: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* multiplies |a| * |b| and only computes upto digs digits of result @@ -9198,9 +9203,9 @@ int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_s_mp_mul_digs.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_s_mp_mul_digs.c */ @@ -9219,7 +9224,7 @@ int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* multiplies |a| * |b| and does not compute the lower digs digits @@ -9283,9 +9288,9 @@ s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_s_mp_mul_high_digs.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_s_mp_mul_high_digs.c */ @@ -9304,7 +9309,7 @@ s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* low level squaring, b = a*a, HAC pp.596-597, Algorithm 14.16 */ @@ -9371,9 +9376,9 @@ int s_mp_sqr (mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_s_mp_sqr.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_s_mp_sqr.c */ @@ -9392,7 +9397,7 @@ int s_mp_sqr (mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* low level subtraction (assumes |a| > |b|), HAC pp.595 Algorithm 14.9 */ @@ -9464,9 +9469,9 @@ s_mp_sub (mp_int * a, mp_int * b, mp_int * c) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_s_mp_sub.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_s_mp_sub.c */ @@ -9485,7 +9490,7 @@ s_mp_sub (mp_int * a, mp_int * b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* Known optimal configurations @@ -9504,9 +9509,9 @@ int KARATSUBA_MUL_CUTOFF = 80, /* Min. number of digits before Karatsub TOOM_SQR_CUTOFF = 400; #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bncore.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bncore.c */ diff --git a/libtommath/tommath.pdf b/libtommath/tommath.pdf index c9571d8..33994c3 100644 Binary files a/libtommath/tommath.pdf and b/libtommath/tommath.pdf differ -- cgit v0.12 From fac003f85aeba679d1cc6bea4eb8a84fc0ebd9f0 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 14 Mar 2011 12:08:07 +0000 Subject: Import of tommath 0.42.0 --- libtommath/bn.ind | 156 +- libtommath/bn.pdf | Bin 345714 -> 352808 bytes libtommath/bn.tex | 2 +- libtommath/bn_error.c | 6 +- libtommath/bn_fast_mp_invmod.c | 6 +- libtommath/bn_fast_mp_montgomery_reduce.c | 6 +- libtommath/bn_fast_s_mp_mul_digs.c | 6 +- libtommath/bn_fast_s_mp_mul_high_digs.c | 6 +- libtommath/bn_fast_s_mp_sqr.c | 6 +- libtommath/bn_mp_2expt.c | 6 +- libtommath/bn_mp_abs.c | 6 +- libtommath/bn_mp_add.c | 6 +- libtommath/bn_mp_add_d.c | 6 +- libtommath/bn_mp_addmod.c | 6 +- libtommath/bn_mp_and.c | 6 +- libtommath/bn_mp_clamp.c | 6 +- libtommath/bn_mp_clear.c | 6 +- libtommath/bn_mp_clear_multi.c | 6 +- libtommath/bn_mp_cmp.c | 6 +- libtommath/bn_mp_cmp_d.c | 6 +- libtommath/bn_mp_cmp_mag.c | 6 +- libtommath/bn_mp_cnt_lsb.c | 6 +- libtommath/bn_mp_copy.c | 6 +- libtommath/bn_mp_count_bits.c | 6 +- libtommath/bn_mp_div.c | 6 +- libtommath/bn_mp_div_2.c | 6 +- libtommath/bn_mp_div_2d.c | 6 +- libtommath/bn_mp_div_3.c | 6 +- libtommath/bn_mp_div_d.c | 6 +- libtommath/bn_mp_dr_is_modulus.c | 6 +- libtommath/bn_mp_dr_reduce.c | 6 +- libtommath/bn_mp_dr_setup.c | 6 +- libtommath/bn_mp_exch.c | 6 +- libtommath/bn_mp_expt_d.c | 6 +- libtommath/bn_mp_exptmod.c | 6 +- libtommath/bn_mp_exptmod_fast.c | 6 +- libtommath/bn_mp_exteuclid.c | 6 +- libtommath/bn_mp_fread.c | 6 +- libtommath/bn_mp_fwrite.c | 6 +- libtommath/bn_mp_gcd.c | 6 +- libtommath/bn_mp_get_int.c | 6 +- libtommath/bn_mp_grow.c | 6 +- libtommath/bn_mp_init.c | 6 +- libtommath/bn_mp_init_copy.c | 6 +- libtommath/bn_mp_init_multi.c | 6 +- libtommath/bn_mp_init_set.c | 6 +- libtommath/bn_mp_init_set_int.c | 6 +- libtommath/bn_mp_init_size.c | 6 +- libtommath/bn_mp_invmod.c | 6 +- libtommath/bn_mp_invmod_slow.c | 6 +- libtommath/bn_mp_is_square.c | 6 +- libtommath/bn_mp_jacobi.c | 6 +- libtommath/bn_mp_karatsuba_mul.c | 6 +- libtommath/bn_mp_karatsuba_sqr.c | 6 +- libtommath/bn_mp_lcm.c | 6 +- libtommath/bn_mp_lshd.c | 6 +- libtommath/bn_mp_mod.c | 6 +- libtommath/bn_mp_mod_2d.c | 6 +- libtommath/bn_mp_mod_d.c | 6 +- libtommath/bn_mp_montgomery_calc_normalization.c | 6 +- libtommath/bn_mp_montgomery_reduce.c | 6 +- libtommath/bn_mp_montgomery_setup.c | 6 +- libtommath/bn_mp_mul.c | 6 +- libtommath/bn_mp_mul_2.c | 6 +- libtommath/bn_mp_mul_2d.c | 6 +- libtommath/bn_mp_mul_d.c | 6 +- libtommath/bn_mp_mulmod.c | 6 +- libtommath/bn_mp_n_root.c | 6 +- libtommath/bn_mp_neg.c | 6 +- libtommath/bn_mp_or.c | 6 +- libtommath/bn_mp_prime_fermat.c | 6 +- libtommath/bn_mp_prime_is_divisible.c | 6 +- libtommath/bn_mp_prime_is_prime.c | 6 +- libtommath/bn_mp_prime_miller_rabin.c | 6 +- libtommath/bn_mp_prime_next_prime.c | 8 +- libtommath/bn_mp_prime_rabin_miller_trials.c | 6 +- libtommath/bn_mp_prime_random_ex.c | 6 +- libtommath/bn_mp_radix_size.c | 6 +- libtommath/bn_mp_radix_smap.c | 6 +- libtommath/bn_mp_rand.c | 6 +- libtommath/bn_mp_read_radix.c | 6 +- libtommath/bn_mp_read_signed_bin.c | 6 +- libtommath/bn_mp_read_unsigned_bin.c | 6 +- libtommath/bn_mp_reduce.c | 6 +- libtommath/bn_mp_reduce_2k.c | 6 +- libtommath/bn_mp_reduce_2k_l.c | 6 +- libtommath/bn_mp_reduce_2k_setup.c | 6 +- libtommath/bn_mp_reduce_2k_setup_l.c | 6 +- libtommath/bn_mp_reduce_is_2k.c | 6 +- libtommath/bn_mp_reduce_is_2k_l.c | 6 +- libtommath/bn_mp_reduce_setup.c | 6 +- libtommath/bn_mp_rshd.c | 6 +- libtommath/bn_mp_set.c | 6 +- libtommath/bn_mp_set_int.c | 6 +- libtommath/bn_mp_shrink.c | 17 +- libtommath/bn_mp_signed_bin_size.c | 6 +- libtommath/bn_mp_sqr.c | 6 +- libtommath/bn_mp_sqrmod.c | 6 +- libtommath/bn_mp_sqrt.c | 6 +- libtommath/bn_mp_sub.c | 6 +- libtommath/bn_mp_sub_d.c | 6 +- libtommath/bn_mp_submod.c | 6 +- libtommath/bn_mp_to_signed_bin.c | 6 +- libtommath/bn_mp_to_signed_bin_n.c | 6 +- libtommath/bn_mp_to_unsigned_bin.c | 6 +- libtommath/bn_mp_to_unsigned_bin_n.c | 6 +- libtommath/bn_mp_toom_mul.c | 6 +- libtommath/bn_mp_toom_sqr.c | 6 +- libtommath/bn_mp_toradix.c | 6 +- libtommath/bn_mp_toradix_n.c | 6 +- libtommath/bn_mp_unsigned_bin_size.c | 6 +- libtommath/bn_mp_xor.c | 6 +- libtommath/bn_mp_zero.c | 6 +- libtommath/bn_prime_tab.c | 6 +- libtommath/bn_reverse.c | 6 +- libtommath/bn_s_mp_add.c | 6 +- libtommath/bn_s_mp_exptmod.c | 6 +- libtommath/bn_s_mp_mul_digs.c | 6 +- libtommath/bn_s_mp_mul_high_digs.c | 6 +- libtommath/bn_s_mp_sqr.c | 6 +- libtommath/bn_s_mp_sub.c | 6 +- libtommath/bncore.c | 6 +- libtommath/changes.txt | 6 + libtommath/demo/demo.c | 6 +- libtommath/demo/timing.c | 6 +- libtommath/etc/2kprime.c | 6 +- libtommath/etc/drprime.c | 6 +- libtommath/etc/mersenne.c | 6 +- libtommath/etc/mont.c | 6 +- libtommath/etc/pprime.c | 6 +- libtommath/etc/tune.c | 6 +- libtommath/libtommath_VS2005.sln | 20 + libtommath/libtommath_VS2005.vcproj | 2803 +++++++++++++++++++++ libtommath/libtommath_VS2008.sln | 20 + libtommath/libtommath_VS2008.vcproj | 2805 ++++++++++++++++++++++ libtommath/makefile | 2 +- libtommath/mtest/logtab.h | 6 +- libtommath/mtest/mpi-config.h | 8 +- libtommath/mtest/mpi-types.h | 6 +- libtommath/mtest/mpi.c | 8 +- libtommath/mtest/mpi.h | 8 +- libtommath/mtest/mtest.c | 6 +- libtommath/poster.pdf | Bin 37821 -> 37806 bytes libtommath/pre_gen/mpi.c | 727 +++--- libtommath/tommath.h | 6 +- libtommath/tommath.pdf | Bin 1183099 -> 1332978 bytes libtommath/tommath_class.h | 6 +- libtommath/tommath_superclass.h | 6 +- 148 files changed, 6520 insertions(+), 856 deletions(-) create mode 100755 libtommath/libtommath_VS2005.sln create mode 100755 libtommath/libtommath_VS2005.vcproj create mode 100755 libtommath/libtommath_VS2008.sln create mode 100755 libtommath/libtommath_VS2008.vcproj diff --git a/libtommath/bn.ind b/libtommath/bn.ind index c099b52..3c3d288 100644 --- a/libtommath/bn.ind +++ b/libtommath/bn.ind @@ -1,82 +1,82 @@ \begin{theindex} - \item mp\_add, \hyperpage{31} - \item mp\_add\_d, \hyperpage{56} - \item mp\_and, \hyperpage{31} - \item mp\_clear, \hyperpage{12} - \item mp\_clear\_multi, \hyperpage{13} - \item mp\_cmp, \hyperpage{25} - \item mp\_cmp\_d, \hyperpage{26} - \item mp\_cmp\_mag, \hyperpage{23} - \item mp\_div, \hyperpage{32} - \item mp\_div\_2, \hyperpage{28} - \item mp\_div\_2d, \hyperpage{30} - \item mp\_div\_d, \hyperpage{56} - \item mp\_dr\_reduce, \hyperpage{45} - \item mp\_dr\_setup, \hyperpage{45} - \item MP\_EQ, \hyperpage{23} - \item mp\_error\_to\_string, \hyperpage{9} - \item mp\_expt\_d, \hyperpage{47} - \item mp\_exptmod, \hyperpage{47} - \item mp\_exteuclid, \hyperpage{55} - \item mp\_gcd, \hyperpage{55} - \item mp\_get\_int, \hyperpage{20} - \item mp\_grow, \hyperpage{17} - \item MP\_GT, \hyperpage{23} - \item mp\_init, \hyperpage{11} - \item mp\_init\_copy, \hyperpage{14} - \item mp\_init\_multi, \hyperpage{13} - \item mp\_init\_set, \hyperpage{21} - \item mp\_init\_set\_int, \hyperpage{21} - \item mp\_init\_size, \hyperpage{15} - \item mp\_int, \hyperpage{10} - \item mp\_invmod, \hyperpage{56} - \item mp\_jacobi, \hyperpage{56} - \item mp\_lcm, \hyperpage{56} - \item mp\_lshd, \hyperpage{30} - \item MP\_LT, \hyperpage{23} - \item MP\_MEM, \hyperpage{9} - \item mp\_mod, \hyperpage{39} - \item mp\_mod\_d, \hyperpage{56} - \item mp\_montgomery\_calc\_normalization, \hyperpage{42} - \item mp\_montgomery\_reduce, \hyperpage{42} - \item mp\_montgomery\_setup, \hyperpage{42} - \item mp\_mul, \hyperpage{33} - \item mp\_mul\_2, \hyperpage{28} - \item mp\_mul\_2d, \hyperpage{29} - \item mp\_mul\_d, \hyperpage{56} - \item mp\_n\_root, \hyperpage{48} - \item mp\_neg, \hyperpage{31, 32} - \item MP\_NO, \hyperpage{9} - \item MP\_OKAY, \hyperpage{9} - \item mp\_or, \hyperpage{31} - \item mp\_prime\_fermat, \hyperpage{49} - \item mp\_prime\_is\_divisible, \hyperpage{49} - \item mp\_prime\_is\_prime, \hyperpage{51} - \item mp\_prime\_miller\_rabin, \hyperpage{50} - \item mp\_prime\_next\_prime, \hyperpage{51} - \item mp\_prime\_rabin\_miller\_trials, \hyperpage{50} - \item mp\_prime\_random, \hyperpage{51} - \item mp\_prime\_random\_ex, \hyperpage{52} - \item mp\_radix\_size, \hyperpage{53} - \item mp\_read\_radix, \hyperpage{53} - \item mp\_read\_unsigned\_bin, \hyperpage{54} - \item mp\_reduce, \hyperpage{40} - \item mp\_reduce\_2k, \hyperpage{46} - \item mp\_reduce\_2k\_setup, \hyperpage{46} - \item mp\_reduce\_setup, \hyperpage{40} - \item mp\_rshd, \hyperpage{30} - \item mp\_set, \hyperpage{19} - \item mp\_set\_int, \hyperpage{20} - \item mp\_shrink, \hyperpage{16} - \item mp\_sqr, \hyperpage{35} - \item mp\_sub, \hyperpage{31} - \item mp\_sub\_d, \hyperpage{56} - \item mp\_to\_unsigned\_bin, \hyperpage{54} - \item mp\_toradix, \hyperpage{53} - \item mp\_unsigned\_bin\_size, \hyperpage{54} - \item MP\_VAL, \hyperpage{9} - \item mp\_xor, \hyperpage{31} - \item MP\_YES, \hyperpage{9} + \item mp\_add, \hyperpage{23} + \item mp\_add\_d, \hyperpage{44} + \item mp\_and, \hyperpage{23} + \item mp\_clear, \hyperpage{9} + \item mp\_clear\_multi, \hyperpage{10} + \item mp\_cmp, \hyperpage{19} + \item mp\_cmp\_d, \hyperpage{20} + \item mp\_cmp\_mag, \hyperpage{18} + \item mp\_div, \hyperpage{24} + \item mp\_div\_2, \hyperpage{21} + \item mp\_div\_2d, \hyperpage{22} + \item mp\_div\_d, \hyperpage{44} + \item mp\_dr\_reduce, \hyperpage{33} + \item mp\_dr\_setup, \hyperpage{33} + \item MP\_EQ, \hyperpage{18} + \item mp\_error\_to\_string, \hyperpage{7} + \item mp\_expt\_d, \hyperpage{35} + \item mp\_exptmod, \hyperpage{35} + \item mp\_exteuclid, \hyperpage{43} + \item mp\_gcd, \hyperpage{43} + \item mp\_get\_int, \hyperpage{16} + \item mp\_grow, \hyperpage{13} + \item MP\_GT, \hyperpage{18} + \item mp\_init, \hyperpage{8} + \item mp\_init\_copy, \hyperpage{10} + \item mp\_init\_multi, \hyperpage{10} + \item mp\_init\_set, \hyperpage{17} + \item mp\_init\_set\_int, \hyperpage{17} + \item mp\_init\_size, \hyperpage{11} + \item mp\_int, \hyperpage{8} + \item mp\_invmod, \hyperpage{44} + \item mp\_jacobi, \hyperpage{43} + \item mp\_lcm, \hyperpage{43} + \item mp\_lshd, \hyperpage{23} + \item MP\_LT, \hyperpage{18} + \item MP\_MEM, \hyperpage{7} + \item mp\_mod, \hyperpage{29} + \item mp\_mod\_d, \hyperpage{44} + \item mp\_montgomery\_calc\_normalization, \hyperpage{31} + \item mp\_montgomery\_reduce, \hyperpage{31} + \item mp\_montgomery\_setup, \hyperpage{31} + \item mp\_mul, \hyperpage{25} + \item mp\_mul\_2, \hyperpage{21} + \item mp\_mul\_2d, \hyperpage{22} + \item mp\_mul\_d, \hyperpage{44} + \item mp\_n\_root, \hyperpage{35} + \item mp\_neg, \hyperpage{24} + \item MP\_NO, \hyperpage{7} + \item MP\_OKAY, \hyperpage{7} + \item mp\_or, \hyperpage{23} + \item mp\_prime\_fermat, \hyperpage{37} + \item mp\_prime\_is\_divisible, \hyperpage{37} + \item mp\_prime\_is\_prime, \hyperpage{38} + \item mp\_prime\_miller\_rabin, \hyperpage{37} + \item mp\_prime\_next\_prime, \hyperpage{38} + \item mp\_prime\_rabin\_miller\_trials, \hyperpage{38} + \item mp\_prime\_random, \hyperpage{38} + \item mp\_prime\_random\_ex, \hyperpage{39} + \item mp\_radix\_size, \hyperpage{41} + \item mp\_read\_radix, \hyperpage{41} + \item mp\_read\_unsigned\_bin, \hyperpage{42} + \item mp\_reduce, \hyperpage{30} + \item mp\_reduce\_2k, \hyperpage{34} + \item mp\_reduce\_2k\_setup, \hyperpage{34} + \item mp\_reduce\_setup, \hyperpage{29} + \item mp\_rshd, \hyperpage{23} + \item mp\_set, \hyperpage{15} + \item mp\_set\_int, \hyperpage{16} + \item mp\_shrink, \hyperpage{12} + \item mp\_sqr, \hyperpage{26} + \item mp\_sub, \hyperpage{23} + \item mp\_sub\_d, \hyperpage{44} + \item mp\_to\_unsigned\_bin, \hyperpage{42} + \item mp\_toradix, \hyperpage{41} + \item mp\_unsigned\_bin\_size, \hyperpage{41} + \item MP\_VAL, \hyperpage{7} + \item mp\_xor, \hyperpage{23} + \item MP\_YES, \hyperpage{7} \end{theindex} diff --git a/libtommath/bn.pdf b/libtommath/bn.pdf index 5be7123..078628c 100644 Binary files a/libtommath/bn.pdf and b/libtommath/bn.pdf differ diff --git a/libtommath/bn.tex b/libtommath/bn.tex index 9017860..71b6840 100644 --- a/libtommath/bn.tex +++ b/libtommath/bn.tex @@ -49,7 +49,7 @@ \begin{document} \frontmatter \pagestyle{empty} -\title{LibTomMath User Manual \\ v0.41} +\title{LibTomMath User Manual \\ v0.42.0} \author{Tom St Denis \\ tomstdenis@gmail.com} \maketitle This text, the library and the accompanying textbook are all hereby placed in the public domain. This book has been diff --git a/libtommath/bn_error.c b/libtommath/bn_error.c index b1b7177..250057b 100644 --- a/libtommath/bn_error.c +++ b/libtommath/bn_error.c @@ -42,6 +42,6 @@ char *mp_error_to_string(int code) #endif -/* $Source: /cvs/libtom/libtommath/bn_error.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_fast_mp_invmod.c b/libtommath/bn_fast_mp_invmod.c index ff03dff..948a134 100644 --- a/libtommath/bn_fast_mp_invmod.c +++ b/libtommath/bn_fast_mp_invmod.c @@ -143,6 +143,6 @@ LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &B, &D, NULL); } #endif -/* $Source: /cvs/libtom/libtommath/bn_fast_mp_invmod.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_fast_mp_montgomery_reduce.c b/libtommath/bn_fast_mp_montgomery_reduce.c index b6c0694..1a81689 100644 --- a/libtommath/bn_fast_mp_montgomery_reduce.c +++ b/libtommath/bn_fast_mp_montgomery_reduce.c @@ -167,6 +167,6 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) } #endif -/* $Source: /cvs/libtom/libtommath/bn_fast_mp_montgomery_reduce.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_fast_s_mp_mul_digs.c b/libtommath/bn_fast_s_mp_mul_digs.c index 91e10d6..04becfd 100644 --- a/libtommath/bn_fast_s_mp_mul_digs.c +++ b/libtommath/bn_fast_s_mp_mul_digs.c @@ -102,6 +102,6 @@ int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) } #endif -/* $Source: /cvs/libtom/libtommath/bn_fast_s_mp_mul_digs.c,v $ */ -/* $Revision: 1.8 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_fast_s_mp_mul_high_digs.c b/libtommath/bn_fast_s_mp_mul_high_digs.c index 5b114d7..98bee37 100644 --- a/libtommath/bn_fast_s_mp_mul_high_digs.c +++ b/libtommath/bn_fast_s_mp_mul_high_digs.c @@ -93,6 +93,6 @@ int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) } #endif -/* $Source: /cvs/libtom/libtommath/bn_fast_s_mp_mul_high_digs.c,v $ */ -/* $Revision: 1.6 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_fast_s_mp_sqr.c b/libtommath/bn_fast_s_mp_sqr.c index 19e92ef..086b52c 100644 --- a/libtommath/bn_fast_s_mp_sqr.c +++ b/libtommath/bn_fast_s_mp_sqr.c @@ -109,6 +109,6 @@ int fast_s_mp_sqr (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_fast_s_mp_sqr.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_2expt.c b/libtommath/bn_mp_2expt.c index f422ffc..4774aab 100644 --- a/libtommath/bn_mp_2expt.c +++ b/libtommath/bn_mp_2expt.c @@ -43,6 +43,6 @@ mp_2expt (mp_int * a, int b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_2expt.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_abs.c b/libtommath/bn_mp_abs.c index 09dd722..4d1fa44 100644 --- a/libtommath/bn_mp_abs.c +++ b/libtommath/bn_mp_abs.c @@ -38,6 +38,6 @@ mp_abs (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_abs.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_add.c b/libtommath/bn_mp_add.c index be20644..122c850 100644 --- a/libtommath/bn_mp_add.c +++ b/libtommath/bn_mp_add.c @@ -48,6 +48,6 @@ int mp_add (mp_int * a, mp_int * b, mp_int * c) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_add.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_add_d.c b/libtommath/bn_mp_add_d.c index 8ca36c1..aec8fc8 100644 --- a/libtommath/bn_mp_add_d.c +++ b/libtommath/bn_mp_add_d.c @@ -107,6 +107,6 @@ mp_add_d (mp_int * a, mp_digit b, mp_int * c) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_add_d.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_addmod.c b/libtommath/bn_mp_addmod.c index 6d8afe1..0376659 100644 --- a/libtommath/bn_mp_addmod.c +++ b/libtommath/bn_mp_addmod.c @@ -36,6 +36,6 @@ mp_addmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_addmod.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_and.c b/libtommath/bn_mp_and.c index 8ea2287..22dfbff 100644 --- a/libtommath/bn_mp_and.c +++ b/libtommath/bn_mp_and.c @@ -52,6 +52,6 @@ mp_and (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_and.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_clamp.c b/libtommath/bn_mp_clamp.c index 359c2ff..1e0c817 100644 --- a/libtommath/bn_mp_clamp.c +++ b/libtommath/bn_mp_clamp.c @@ -39,6 +39,6 @@ mp_clamp (mp_int * a) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_clamp.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_clear.c b/libtommath/bn_mp_clear.c index a65f0a3..72301df 100644 --- a/libtommath/bn_mp_clear.c +++ b/libtommath/bn_mp_clear.c @@ -39,6 +39,6 @@ mp_clear (mp_int * a) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_clear.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_clear_multi.c b/libtommath/bn_mp_clear_multi.c index daaea79..6bbc10c 100644 --- a/libtommath/bn_mp_clear_multi.c +++ b/libtommath/bn_mp_clear_multi.c @@ -29,6 +29,6 @@ void mp_clear_multi(mp_int *mp, ...) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_clear_multi.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_cmp.c b/libtommath/bn_mp_cmp.c index 533f36b..77d00cd 100644 --- a/libtommath/bn_mp_cmp.c +++ b/libtommath/bn_mp_cmp.c @@ -38,6 +38,6 @@ mp_cmp (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_cmp.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_cmp_d.c b/libtommath/bn_mp_cmp_d.c index 724c1c3..0d5bcb4 100644 --- a/libtommath/bn_mp_cmp_d.c +++ b/libtommath/bn_mp_cmp_d.c @@ -39,6 +39,6 @@ int mp_cmp_d(mp_int * a, mp_digit b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_cmp_d.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_cmp_mag.c b/libtommath/bn_mp_cmp_mag.c index 693eb7c..063fd18 100644 --- a/libtommath/bn_mp_cmp_mag.c +++ b/libtommath/bn_mp_cmp_mag.c @@ -50,6 +50,6 @@ int mp_cmp_mag (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_cmp_mag.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_cnt_lsb.c b/libtommath/bn_mp_cnt_lsb.c index 66d1a74..efebd2a 100644 --- a/libtommath/bn_mp_cnt_lsb.c +++ b/libtommath/bn_mp_cnt_lsb.c @@ -48,6 +48,6 @@ int mp_cnt_lsb(mp_int *a) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_cnt_lsb.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_copy.c b/libtommath/bn_mp_copy.c index b0de16d..45cac61 100644 --- a/libtommath/bn_mp_copy.c +++ b/libtommath/bn_mp_copy.c @@ -63,6 +63,6 @@ mp_copy (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_copy.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_count_bits.c b/libtommath/bn_mp_count_bits.c index 8bc5657..6c02ec6 100644 --- a/libtommath/bn_mp_count_bits.c +++ b/libtommath/bn_mp_count_bits.c @@ -40,6 +40,6 @@ mp_count_bits (mp_int * a) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_count_bits.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_div.c b/libtommath/bn_mp_div.c index aee9c94..af5c55d 100644 --- a/libtommath/bn_mp_div.c +++ b/libtommath/bn_mp_div.c @@ -287,6 +287,6 @@ LBL_Q:mp_clear (&q); #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_div.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_div_2.c b/libtommath/bn_mp_div_2.c index 7ee3e5b..64ef823 100644 --- a/libtommath/bn_mp_div_2.c +++ b/libtommath/bn_mp_div_2.c @@ -63,6 +63,6 @@ int mp_div_2(mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_div_2.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_div_2d.c b/libtommath/bn_mp_div_2d.c index 4f7fa59..72936a4 100644 --- a/libtommath/bn_mp_div_2d.c +++ b/libtommath/bn_mp_div_2d.c @@ -92,6 +92,6 @@ int mp_div_2d (mp_int * a, int b, mp_int * c, mp_int * d) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_div_2d.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_div_3.c b/libtommath/bn_mp_div_3.c index 3c60269..7f6869b 100644 --- a/libtommath/bn_mp_div_3.c +++ b/libtommath/bn_mp_div_3.c @@ -74,6 +74,6 @@ mp_div_3 (mp_int * a, mp_int *c, mp_digit * d) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_div_3.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_div_d.c b/libtommath/bn_mp_div_d.c index 6a26d4f..ca34e87 100644 --- a/libtommath/bn_mp_div_d.c +++ b/libtommath/bn_mp_div_d.c @@ -110,6 +110,6 @@ int mp_div_d (mp_int * a, mp_digit b, mp_int * c, mp_digit * d) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_div_d.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2007/01/09 04:44:32 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_dr_is_modulus.c b/libtommath/bn_mp_dr_is_modulus.c index 5237344..52b4fdf 100644 --- a/libtommath/bn_mp_dr_is_modulus.c +++ b/libtommath/bn_mp_dr_is_modulus.c @@ -38,6 +38,6 @@ int mp_dr_is_modulus(mp_int *a) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_dr_is_modulus.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_dr_reduce.c b/libtommath/bn_mp_dr_reduce.c index e60b578..47f0c60 100644 --- a/libtommath/bn_mp_dr_reduce.c +++ b/libtommath/bn_mp_dr_reduce.c @@ -89,6 +89,6 @@ top: } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_dr_reduce.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_dr_setup.c b/libtommath/bn_mp_dr_setup.c index 1d7d856..99ee67d 100644 --- a/libtommath/bn_mp_dr_setup.c +++ b/libtommath/bn_mp_dr_setup.c @@ -27,6 +27,6 @@ void mp_dr_setup(mp_int *a, mp_digit *d) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_dr_setup.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_exch.c b/libtommath/bn_mp_exch.c index 38574e0..dd3098e 100644 --- a/libtommath/bn_mp_exch.c +++ b/libtommath/bn_mp_exch.c @@ -29,6 +29,6 @@ mp_exch (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_exch.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_expt_d.c b/libtommath/bn_mp_expt_d.c index 4bdc2d1..f9357cc 100644 --- a/libtommath/bn_mp_expt_d.c +++ b/libtommath/bn_mp_expt_d.c @@ -52,6 +52,6 @@ int mp_expt_d (mp_int * a, mp_digit b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_expt_d.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_exptmod.c b/libtommath/bn_mp_exptmod.c index 0231916..8fbce19 100644 --- a/libtommath/bn_mp_exptmod.c +++ b/libtommath/bn_mp_exptmod.c @@ -107,6 +107,6 @@ int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_exptmod.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_exptmod_fast.c b/libtommath/bn_mp_exptmod_fast.c index 2a3b3c9..60c7e2b 100644 --- a/libtommath/bn_mp_exptmod_fast.c +++ b/libtommath/bn_mp_exptmod_fast.c @@ -316,6 +316,6 @@ LBL_M: #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_exptmod_fast.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_exteuclid.c b/libtommath/bn_mp_exteuclid.c index e6c4ce2..c65928d 100644 --- a/libtommath/bn_mp_exteuclid.c +++ b/libtommath/bn_mp_exteuclid.c @@ -77,6 +77,6 @@ _ERR: mp_clear_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_exteuclid.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_fread.c b/libtommath/bn_mp_fread.c index b344b6f..a2e51a1 100644 --- a/libtommath/bn_mp_fread.c +++ b/libtommath/bn_mp_fread.c @@ -62,6 +62,6 @@ int mp_fread(mp_int *a, int radix, FILE *stream) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_fread.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_fwrite.c b/libtommath/bn_mp_fwrite.c index a0b4c6b..b3fd834 100644 --- a/libtommath/bn_mp_fwrite.c +++ b/libtommath/bn_mp_fwrite.c @@ -47,6 +47,6 @@ int mp_fwrite(mp_int *a, int radix, FILE *stream) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_fwrite.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_gcd.c b/libtommath/bn_mp_gcd.c index b39ba90..b45cfed 100644 --- a/libtommath/bn_mp_gcd.c +++ b/libtommath/bn_mp_gcd.c @@ -100,6 +100,6 @@ LBL_U:mp_clear (&v); } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_gcd.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_get_int.c b/libtommath/bn_mp_get_int.c index 17162e2..11baa0e 100644 --- a/libtommath/bn_mp_get_int.c +++ b/libtommath/bn_mp_get_int.c @@ -40,6 +40,6 @@ unsigned long mp_get_int(mp_int * a) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_get_int.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_grow.c b/libtommath/bn_mp_grow.c index cf2b949..f1c1cab 100644 --- a/libtommath/bn_mp_grow.c +++ b/libtommath/bn_mp_grow.c @@ -52,6 +52,6 @@ int mp_grow (mp_int * a, int size) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_grow.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_init.c b/libtommath/bn_mp_init.c index 8be27f5..79cca3c 100644 --- a/libtommath/bn_mp_init.c +++ b/libtommath/bn_mp_init.c @@ -41,6 +41,6 @@ int mp_init (mp_int * a) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_init.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_init_copy.c b/libtommath/bn_mp_init_copy.c index 0160811..8ce0ef9 100644 --- a/libtommath/bn_mp_init_copy.c +++ b/libtommath/bn_mp_init_copy.c @@ -27,6 +27,6 @@ int mp_init_copy (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_init_copy.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_init_multi.c b/libtommath/bn_mp_init_multi.c index 59dc3a9..a40ea8e 100644 --- a/libtommath/bn_mp_init_multi.c +++ b/libtommath/bn_mp_init_multi.c @@ -54,6 +54,6 @@ int mp_init_multi(mp_int *mp, ...) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_init_multi.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_init_set.c b/libtommath/bn_mp_init_set.c index 34edad9..f9b08e9 100644 --- a/libtommath/bn_mp_init_set.c +++ b/libtommath/bn_mp_init_set.c @@ -27,6 +27,6 @@ int mp_init_set (mp_int * a, mp_digit b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_init_set.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_init_set_int.c b/libtommath/bn_mp_init_set_int.c index 5c55993..9473c3f 100644 --- a/libtommath/bn_mp_init_set_int.c +++ b/libtommath/bn_mp_init_set_int.c @@ -26,6 +26,6 @@ int mp_init_set_int (mp_int * a, unsigned long b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_init_set_int.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_init_size.c b/libtommath/bn_mp_init_size.c index 8e01418..69dd49c 100644 --- a/libtommath/bn_mp_init_size.c +++ b/libtommath/bn_mp_init_size.c @@ -43,6 +43,6 @@ int mp_init_size (mp_int * a, int size) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_init_size.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_invmod.c b/libtommath/bn_mp_invmod.c index 1546514..f4bdc17 100644 --- a/libtommath/bn_mp_invmod.c +++ b/libtommath/bn_mp_invmod.c @@ -38,6 +38,6 @@ int mp_invmod (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_invmod.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_invmod_slow.c b/libtommath/bn_mp_invmod_slow.c index eedd47d..2430f02 100644 --- a/libtommath/bn_mp_invmod_slow.c +++ b/libtommath/bn_mp_invmod_slow.c @@ -170,6 +170,6 @@ LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &A, &B, &C, &D, NULL); } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_invmod_slow.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_is_square.c b/libtommath/bn_mp_is_square.c index 50c5244..12b9ec7 100644 --- a/libtommath/bn_mp_is_square.c +++ b/libtommath/bn_mp_is_square.c @@ -104,6 +104,6 @@ ERR:mp_clear(&t); } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_is_square.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_jacobi.c b/libtommath/bn_mp_jacobi.c index 91cfeea..07a9d65 100644 --- a/libtommath/bn_mp_jacobi.c +++ b/libtommath/bn_mp_jacobi.c @@ -100,6 +100,6 @@ LBL_A1:mp_clear (&a1); } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_jacobi.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_karatsuba_mul.c b/libtommath/bn_mp_karatsuba_mul.c index 8ea2c27..62e885c 100644 --- a/libtommath/bn_mp_karatsuba_mul.c +++ b/libtommath/bn_mp_karatsuba_mul.c @@ -162,6 +162,6 @@ ERR: } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_karatsuba_mul.c,v $ */ -/* $Revision: 1.6 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_karatsuba_sqr.c b/libtommath/bn_mp_karatsuba_sqr.c index a5e198b..ce5c753 100644 --- a/libtommath/bn_mp_karatsuba_sqr.c +++ b/libtommath/bn_mp_karatsuba_sqr.c @@ -116,6 +116,6 @@ ERR: } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_karatsuba_sqr.c,v $ */ -/* $Revision: 1.6 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_lcm.c b/libtommath/bn_mp_lcm.c index 781eef5..a4115da 100644 --- a/libtommath/bn_mp_lcm.c +++ b/libtommath/bn_mp_lcm.c @@ -55,6 +55,6 @@ LBL_T: } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_lcm.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_lshd.c b/libtommath/bn_mp_lshd.c index f118cf1..87c216b 100644 --- a/libtommath/bn_mp_lshd.c +++ b/libtommath/bn_mp_lshd.c @@ -62,6 +62,6 @@ int mp_lshd (mp_int * a, int b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_lshd.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_mod.c b/libtommath/bn_mp_mod.c index f5cf8d0..6828328 100644 --- a/libtommath/bn_mp_mod.c +++ b/libtommath/bn_mp_mod.c @@ -43,6 +43,6 @@ mp_mod (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_mod.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_mod_2d.c b/libtommath/bn_mp_mod_2d.c index e194a06..77f13c3 100644 --- a/libtommath/bn_mp_mod_2d.c +++ b/libtommath/bn_mp_mod_2d.c @@ -50,6 +50,6 @@ mp_mod_2d (mp_int * a, int b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_mod_2d.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_mod_d.c b/libtommath/bn_mp_mod_d.c index 9ca37e6..4ad3d90 100644 --- a/libtommath/bn_mp_mod_d.c +++ b/libtommath/bn_mp_mod_d.c @@ -22,6 +22,6 @@ mp_mod_d (mp_int * a, mp_digit b, mp_digit * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_mod_d.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_montgomery_calc_normalization.c b/libtommath/bn_mp_montgomery_calc_normalization.c index c669fe0..4825ab5 100644 --- a/libtommath/bn_mp_montgomery_calc_normalization.c +++ b/libtommath/bn_mp_montgomery_calc_normalization.c @@ -54,6 +54,6 @@ int mp_montgomery_calc_normalization (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_montgomery_calc_normalization.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_montgomery_reduce.c b/libtommath/bn_mp_montgomery_reduce.c index b765090..3c73268 100644 --- a/libtommath/bn_mp_montgomery_reduce.c +++ b/libtommath/bn_mp_montgomery_reduce.c @@ -113,6 +113,6 @@ mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_montgomery_reduce.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_montgomery_setup.c b/libtommath/bn_mp_montgomery_setup.c index f082749..0de27bb 100644 --- a/libtommath/bn_mp_montgomery_setup.c +++ b/libtommath/bn_mp_montgomery_setup.c @@ -54,6 +54,6 @@ mp_montgomery_setup (mp_int * n, mp_digit * rho) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_montgomery_setup.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_mul.c b/libtommath/bn_mp_mul.c index 8b1117a..bd75d04 100644 --- a/libtommath/bn_mp_mul.c +++ b/libtommath/bn_mp_mul.c @@ -61,6 +61,6 @@ int mp_mul (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_mul.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_mul_2.c b/libtommath/bn_mp_mul_2.c index 02455fc..6ba76be 100644 --- a/libtommath/bn_mp_mul_2.c +++ b/libtommath/bn_mp_mul_2.c @@ -77,6 +77,6 @@ int mp_mul_2(mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_mul_2.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_mul_2d.c b/libtommath/bn_mp_mul_2d.c index efeff2e..385ac59 100644 --- a/libtommath/bn_mp_mul_2d.c +++ b/libtommath/bn_mp_mul_2d.c @@ -80,6 +80,6 @@ int mp_mul_2d (mp_int * a, int b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_mul_2d.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_mul_d.c b/libtommath/bn_mp_mul_d.c index 00f9a89..13c6066 100644 --- a/libtommath/bn_mp_mul_d.c +++ b/libtommath/bn_mp_mul_d.c @@ -74,6 +74,6 @@ mp_mul_d (mp_int * a, mp_digit b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_mul_d.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_mulmod.c b/libtommath/bn_mp_mulmod.c index 003ceb9..eebca37 100644 --- a/libtommath/bn_mp_mulmod.c +++ b/libtommath/bn_mp_mulmod.c @@ -35,6 +35,6 @@ int mp_mulmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_mulmod.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_n_root.c b/libtommath/bn_mp_n_root.c index 0e7bedc..e6bf725 100644 --- a/libtommath/bn_mp_n_root.c +++ b/libtommath/bn_mp_n_root.c @@ -127,6 +127,6 @@ LBL_T1:mp_clear (&t1); } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_n_root.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_neg.c b/libtommath/bn_mp_neg.c index a7d035a..0e868ce 100644 --- a/libtommath/bn_mp_neg.c +++ b/libtommath/bn_mp_neg.c @@ -35,6 +35,6 @@ int mp_neg (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_neg.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_or.c b/libtommath/bn_mp_or.c index bff4995..5c2761a 100644 --- a/libtommath/bn_mp_or.c +++ b/libtommath/bn_mp_or.c @@ -45,6 +45,6 @@ int mp_or (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_or.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_prime_fermat.c b/libtommath/bn_mp_prime_fermat.c index c23d77f..fe10ab2 100644 --- a/libtommath/bn_mp_prime_fermat.c +++ b/libtommath/bn_mp_prime_fermat.c @@ -57,6 +57,6 @@ LBL_T:mp_clear (&t); } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_prime_fermat.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_prime_is_divisible.c b/libtommath/bn_mp_prime_is_divisible.c index 8e7871c..2b217ae 100644 --- a/libtommath/bn_mp_prime_is_divisible.c +++ b/libtommath/bn_mp_prime_is_divisible.c @@ -45,6 +45,6 @@ int mp_prime_is_divisible (mp_int * a, int *result) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_prime_is_divisible.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_prime_is_prime.c b/libtommath/bn_mp_prime_is_prime.c index c316d62..09908df 100644 --- a/libtommath/bn_mp_prime_is_prime.c +++ b/libtommath/bn_mp_prime_is_prime.c @@ -78,6 +78,6 @@ LBL_B:mp_clear (&b); } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_prime_is_prime.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_prime_miller_rabin.c b/libtommath/bn_mp_prime_miller_rabin.c index ddf0358..fe88d94 100644 --- a/libtommath/bn_mp_prime_miller_rabin.c +++ b/libtommath/bn_mp_prime_miller_rabin.c @@ -98,6 +98,6 @@ LBL_N1:mp_clear (&n1); } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_prime_miller_rabin.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_prime_next_prime.c b/libtommath/bn_mp_prime_next_prime.c index daf2ec7..37a03c6 100644 --- a/libtommath/bn_mp_prime_next_prime.c +++ b/libtommath/bn_mp_prime_next_prime.c @@ -143,7 +143,7 @@ int mp_prime_next_prime(mp_int *a, int t, int bbs_style) /* is this prime? */ for (x = 0; x < t; x++) { - mp_set(&b, ltm_prime_tab[t]); + mp_set(&b, ltm_prime_tab[x]); if ((err = mp_prime_miller_rabin(a, &b, &res)) != MP_OKAY) { goto LBL_ERR; } @@ -165,6 +165,6 @@ LBL_ERR: #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_prime_next_prime.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: v0.42.0 $ */ +/* $Date: 2010-07-15 13:49:00 +0000 $ */ diff --git a/libtommath/bn_mp_prime_rabin_miller_trials.c b/libtommath/bn_mp_prime_rabin_miller_trials.c index 248c2fd..b4fc323 100644 --- a/libtommath/bn_mp_prime_rabin_miller_trials.c +++ b/libtommath/bn_mp_prime_rabin_miller_trials.c @@ -47,6 +47,6 @@ int mp_prime_rabin_miller_trials(int size) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_prime_rabin_miller_trials.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_prime_random_ex.c b/libtommath/bn_mp_prime_random_ex.c index 07aae4b..16d2aae 100644 --- a/libtommath/bn_mp_prime_random_ex.c +++ b/libtommath/bn_mp_prime_random_ex.c @@ -120,6 +120,6 @@ error: #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_prime_random_ex.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_radix_size.c b/libtommath/bn_mp_radix_size.c index 1b61e3a..9d95c48 100644 --- a/libtommath/bn_mp_radix_size.c +++ b/libtommath/bn_mp_radix_size.c @@ -73,6 +73,6 @@ int mp_radix_size (mp_int * a, int radix, int *size) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_radix_size.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_radix_smap.c b/libtommath/bn_mp_radix_smap.c index 7d72feb..b3abd3e 100644 --- a/libtommath/bn_mp_radix_smap.c +++ b/libtommath/bn_mp_radix_smap.c @@ -19,6 +19,6 @@ const char *mp_s_rmap = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz+/"; #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_radix_smap.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_rand.c b/libtommath/bn_mp_rand.c index af66a67..96e4e46 100644 --- a/libtommath/bn_mp_rand.c +++ b/libtommath/bn_mp_rand.c @@ -50,6 +50,6 @@ mp_rand (mp_int * a, int digits) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_rand.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_read_radix.c b/libtommath/bn_mp_read_radix.c index 91c46c2..8ce103f 100644 --- a/libtommath/bn_mp_read_radix.c +++ b/libtommath/bn_mp_read_radix.c @@ -80,6 +80,6 @@ int mp_read_radix (mp_int * a, const char *str, int radix) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_read_radix.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_read_signed_bin.c b/libtommath/bn_mp_read_signed_bin.c index 8da651c..92924e8 100644 --- a/libtommath/bn_mp_read_signed_bin.c +++ b/libtommath/bn_mp_read_signed_bin.c @@ -36,6 +36,6 @@ int mp_read_signed_bin (mp_int * a, const unsigned char *b, int c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_read_signed_bin.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_read_unsigned_bin.c b/libtommath/bn_mp_read_unsigned_bin.c index 1ebba13..5a7fa91 100644 --- a/libtommath/bn_mp_read_unsigned_bin.c +++ b/libtommath/bn_mp_read_unsigned_bin.c @@ -50,6 +50,6 @@ int mp_read_unsigned_bin (mp_int * a, const unsigned char *b, int c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_read_unsigned_bin.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_reduce.c b/libtommath/bn_mp_reduce.c index 21d0730..50e1eaa 100644 --- a/libtommath/bn_mp_reduce.c +++ b/libtommath/bn_mp_reduce.c @@ -95,6 +95,6 @@ CLEANUP: } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_reduce.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_reduce_2k.c b/libtommath/bn_mp_reduce_2k.c index d9620c2..6bbc5f1 100644 --- a/libtommath/bn_mp_reduce_2k.c +++ b/libtommath/bn_mp_reduce_2k.c @@ -56,6 +56,6 @@ ERR: #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_2k.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_reduce_2k_l.c b/libtommath/bn_mp_reduce_2k_l.c index f06103d..067122a 100644 --- a/libtommath/bn_mp_reduce_2k_l.c +++ b/libtommath/bn_mp_reduce_2k_l.c @@ -57,6 +57,6 @@ ERR: #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_2k_l.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_reduce_2k_setup.c b/libtommath/bn_mp_reduce_2k_setup.c index a80e7a2..3f9ffd9 100644 --- a/libtommath/bn_mp_reduce_2k_setup.c +++ b/libtommath/bn_mp_reduce_2k_setup.c @@ -42,6 +42,6 @@ int mp_reduce_2k_setup(mp_int *a, mp_digit *d) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_2k_setup.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_reduce_2k_setup_l.c b/libtommath/bn_mp_reduce_2k_setup_l.c index 7cf002e..686368e 100644 --- a/libtommath/bn_mp_reduce_2k_setup_l.c +++ b/libtommath/bn_mp_reduce_2k_setup_l.c @@ -39,6 +39,6 @@ ERR: } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_2k_setup_l.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_reduce_is_2k.c b/libtommath/bn_mp_reduce_is_2k.c index 7308be7..08b62ff 100644 --- a/libtommath/bn_mp_reduce_is_2k.c +++ b/libtommath/bn_mp_reduce_is_2k.c @@ -47,6 +47,6 @@ int mp_reduce_is_2k(mp_int *a) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_is_2k.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_reduce_is_2k_l.c b/libtommath/bn_mp_reduce_is_2k_l.c index 14a4d21..a72e39c 100644 --- a/libtommath/bn_mp_reduce_is_2k_l.c +++ b/libtommath/bn_mp_reduce_is_2k_l.c @@ -39,6 +39,6 @@ int mp_reduce_is_2k_l(mp_int *a) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_is_2k_l.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_reduce_setup.c b/libtommath/bn_mp_reduce_setup.c index 370f20b..f017386 100644 --- a/libtommath/bn_mp_reduce_setup.c +++ b/libtommath/bn_mp_reduce_setup.c @@ -29,6 +29,6 @@ int mp_reduce_setup (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_setup.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_rshd.c b/libtommath/bn_mp_rshd.c index 2a693c5..bb506e9 100644 --- a/libtommath/bn_mp_rshd.c +++ b/libtommath/bn_mp_rshd.c @@ -67,6 +67,6 @@ void mp_rshd (mp_int * a, int b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_rshd.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_set.c b/libtommath/bn_mp_set.c index 174adcb..412673a 100644 --- a/libtommath/bn_mp_set.c +++ b/libtommath/bn_mp_set.c @@ -24,6 +24,6 @@ void mp_set (mp_int * a, mp_digit b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_set.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_set_int.c b/libtommath/bn_mp_set_int.c index cf10ea1..17cfe89 100644 --- a/libtommath/bn_mp_set_int.c +++ b/libtommath/bn_mp_set_int.c @@ -43,6 +43,6 @@ int mp_set_int (mp_int * a, unsigned long b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_set_int.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_shrink.c b/libtommath/bn_mp_shrink.c index 4b8c5ef..2bee381 100644 --- a/libtommath/bn_mp_shrink.c +++ b/libtommath/bn_mp_shrink.c @@ -19,17 +19,22 @@ int mp_shrink (mp_int * a) { mp_digit *tmp; - if (a->alloc != a->used && a->used > 0) { - if ((tmp = OPT_CAST(mp_digit) XREALLOC (a->dp, sizeof (mp_digit) * a->used)) == NULL) { + int used = 1; + + if(a->used > 0) + used = a->used; + + if (a->alloc != used) { + if ((tmp = OPT_CAST(mp_digit) XREALLOC (a->dp, sizeof (mp_digit) * used)) == NULL) { return MP_MEM; } a->dp = tmp; - a->alloc = a->used; + a->alloc = used; } return MP_OKAY; } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_shrink.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: v0.42.0 $ */ +/* $Date: 2010-06-02 15:09:36 +0200 $ */ diff --git a/libtommath/bn_mp_signed_bin_size.c b/libtommath/bn_mp_signed_bin_size.c index 6739d19..b28d402 100644 --- a/libtommath/bn_mp_signed_bin_size.c +++ b/libtommath/bn_mp_signed_bin_size.c @@ -22,6 +22,6 @@ int mp_signed_bin_size (mp_int * a) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_signed_bin_size.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_sqr.c b/libtommath/bn_mp_sqr.c index 868ccbb..b085668 100644 --- a/libtommath/bn_mp_sqr.c +++ b/libtommath/bn_mp_sqr.c @@ -53,6 +53,6 @@ if (a->used >= KARATSUBA_SQR_CUTOFF) { } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_sqr.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_sqrmod.c b/libtommath/bn_mp_sqrmod.c index 161cbbb..369028b 100644 --- a/libtommath/bn_mp_sqrmod.c +++ b/libtommath/bn_mp_sqrmod.c @@ -36,6 +36,6 @@ mp_sqrmod (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_sqrmod.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_sqrt.c b/libtommath/bn_mp_sqrt.c index 8fd057c..983e41c 100644 --- a/libtommath/bn_mp_sqrt.c +++ b/libtommath/bn_mp_sqrt.c @@ -76,6 +76,6 @@ E2: mp_clear(&t1); #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_sqrt.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_sub.c b/libtommath/bn_mp_sub.c index f5015cc..3c8e5d4 100644 --- a/libtommath/bn_mp_sub.c +++ b/libtommath/bn_mp_sub.c @@ -54,6 +54,6 @@ mp_sub (mp_int * a, mp_int * b, mp_int * c) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_sub.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_sub_d.c b/libtommath/bn_mp_sub_d.c index 06cdca6..13b49bc 100644 --- a/libtommath/bn_mp_sub_d.c +++ b/libtommath/bn_mp_sub_d.c @@ -88,6 +88,6 @@ mp_sub_d (mp_int * a, mp_digit b, mp_int * c) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_sub_d.c,v $ */ -/* $Revision: 1.6 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_submod.c b/libtommath/bn_mp_submod.c index 869e23c..d919c17 100644 --- a/libtommath/bn_mp_submod.c +++ b/libtommath/bn_mp_submod.c @@ -37,6 +37,6 @@ mp_submod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_submod.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_to_signed_bin.c b/libtommath/bn_mp_to_signed_bin.c index 9df83ca..dda9285 100644 --- a/libtommath/bn_mp_to_signed_bin.c +++ b/libtommath/bn_mp_to_signed_bin.c @@ -28,6 +28,6 @@ int mp_to_signed_bin (mp_int * a, unsigned char *b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_to_signed_bin.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_to_signed_bin_n.c b/libtommath/bn_mp_to_signed_bin_n.c index 677f827..9e3b011 100644 --- a/libtommath/bn_mp_to_signed_bin_n.c +++ b/libtommath/bn_mp_to_signed_bin_n.c @@ -26,6 +26,6 @@ int mp_to_signed_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_to_signed_bin_n.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_to_unsigned_bin.c b/libtommath/bn_mp_to_unsigned_bin.c index c137f10..76072a9 100644 --- a/libtommath/bn_mp_to_unsigned_bin.c +++ b/libtommath/bn_mp_to_unsigned_bin.c @@ -43,6 +43,6 @@ int mp_to_unsigned_bin (mp_int * a, unsigned char *b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_to_unsigned_bin.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_to_unsigned_bin_n.c b/libtommath/bn_mp_to_unsigned_bin_n.c index 0dc00c6..51028d8 100644 --- a/libtommath/bn_mp_to_unsigned_bin_n.c +++ b/libtommath/bn_mp_to_unsigned_bin_n.c @@ -26,6 +26,6 @@ int mp_to_unsigned_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_to_unsigned_bin_n.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_toom_mul.c b/libtommath/bn_mp_toom_mul.c index ad5d9e9..e0fd772 100644 --- a/libtommath/bn_mp_toom_mul.c +++ b/libtommath/bn_mp_toom_mul.c @@ -279,6 +279,6 @@ ERR: #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_toom_mul.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_toom_sqr.c b/libtommath/bn_mp_toom_sqr.c index 48880d0..9076e6f 100644 --- a/libtommath/bn_mp_toom_sqr.c +++ b/libtommath/bn_mp_toom_sqr.c @@ -221,6 +221,6 @@ ERR: #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_toom_sqr.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_toradix.c b/libtommath/bn_mp_toradix.c index 0adc28d..bb95783 100644 --- a/libtommath/bn_mp_toradix.c +++ b/libtommath/bn_mp_toradix.c @@ -70,6 +70,6 @@ int mp_toradix (mp_int * a, char *str, int radix) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_toradix.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_toradix_n.c b/libtommath/bn_mp_toradix_n.c index 796ed55..7e425d6 100644 --- a/libtommath/bn_mp_toradix_n.c +++ b/libtommath/bn_mp_toradix_n.c @@ -83,6 +83,6 @@ int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_toradix_n.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_unsigned_bin_size.c b/libtommath/bn_mp_unsigned_bin_size.c index 6dc3bd5..b16fdcd 100644 --- a/libtommath/bn_mp_unsigned_bin_size.c +++ b/libtommath/bn_mp_unsigned_bin_size.c @@ -23,6 +23,6 @@ int mp_unsigned_bin_size (mp_int * a) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_unsigned_bin_size.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_xor.c b/libtommath/bn_mp_xor.c index 59ff2e1..5744556 100644 --- a/libtommath/bn_mp_xor.c +++ b/libtommath/bn_mp_xor.c @@ -46,6 +46,6 @@ mp_xor (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_xor.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_zero.c b/libtommath/bn_mp_zero.c index b0977d4..99e6df2 100644 --- a/libtommath/bn_mp_zero.c +++ b/libtommath/bn_mp_zero.c @@ -31,6 +31,6 @@ void mp_zero (mp_int * a) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_zero.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_prime_tab.c b/libtommath/bn_prime_tab.c index bd25247..fb5ad08 100644 --- a/libtommath/bn_prime_tab.c +++ b/libtommath/bn_prime_tab.c @@ -56,6 +56,6 @@ const mp_digit ltm_prime_tab[] = { }; #endif -/* $Source: /cvs/libtom/libtommath/bn_prime_tab.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_reverse.c b/libtommath/bn_reverse.c index ddfa827..17cdcc1 100644 --- a/libtommath/bn_reverse.c +++ b/libtommath/bn_reverse.c @@ -34,6 +34,6 @@ bn_reverse (unsigned char *s, int len) } #endif -/* $Source: /cvs/libtom/libtommath/bn_reverse.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_s_mp_add.c b/libtommath/bn_s_mp_add.c index f034ae6..0ca20b8 100644 --- a/libtommath/bn_s_mp_add.c +++ b/libtommath/bn_s_mp_add.c @@ -104,6 +104,6 @@ s_mp_add (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_s_mp_add.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_s_mp_exptmod.c b/libtommath/bn_s_mp_exptmod.c index 097d894..bc02a28 100644 --- a/libtommath/bn_s_mp_exptmod.c +++ b/libtommath/bn_s_mp_exptmod.c @@ -247,6 +247,6 @@ LBL_M: } #endif -/* $Source: /cvs/libtom/libtommath/bn_s_mp_exptmod.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_s_mp_mul_digs.c b/libtommath/bn_s_mp_mul_digs.c index f5bbf39..86196bf 100644 --- a/libtommath/bn_s_mp_mul_digs.c +++ b/libtommath/bn_s_mp_mul_digs.c @@ -85,6 +85,6 @@ int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) } #endif -/* $Source: /cvs/libtom/libtommath/bn_s_mp_mul_digs.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_s_mp_mul_high_digs.c b/libtommath/bn_s_mp_mul_high_digs.c index 2b718f2..019014e 100644 --- a/libtommath/bn_s_mp_mul_high_digs.c +++ b/libtommath/bn_s_mp_mul_high_digs.c @@ -76,6 +76,6 @@ s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) } #endif -/* $Source: /cvs/libtom/libtommath/bn_s_mp_mul_high_digs.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_s_mp_sqr.c b/libtommath/bn_s_mp_sqr.c index d2531c2..90c465d 100644 --- a/libtommath/bn_s_mp_sqr.c +++ b/libtommath/bn_s_mp_sqr.c @@ -79,6 +79,6 @@ int s_mp_sqr (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_s_mp_sqr.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_s_mp_sub.c b/libtommath/bn_s_mp_sub.c index 6a60c39..ccea6bd 100644 --- a/libtommath/bn_s_mp_sub.c +++ b/libtommath/bn_s_mp_sub.c @@ -84,6 +84,6 @@ s_mp_sub (mp_int * a, mp_int * b, mp_int * c) #endif -/* $Source: /cvs/libtom/libtommath/bn_s_mp_sub.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bncore.c b/libtommath/bncore.c index 8fb1824..1a0ac2c 100644 --- a/libtommath/bncore.c +++ b/libtommath/bncore.c @@ -31,6 +31,6 @@ int KARATSUBA_MUL_CUTOFF = 80, /* Min. number of digits before Karatsub TOOM_SQR_CUTOFF = 400; #endif -/* $Source: /cvs/libtom/libtommath/bncore.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/changes.txt b/libtommath/changes.txt index b0da4da..4fc0913 100644 --- a/libtommath/changes.txt +++ b/libtommath/changes.txt @@ -1,3 +1,9 @@ +July 23rd, 2010 +v0.42.0 + -- Fix for mp_prime_next_prime() bug when checking generated prime + -- allow mp_shrink to shrink initialized, but empty MPI's + -- Added project and solution files for Visual Studio 2005 and Visual Studio 2008. + March 10th, 2007 v0.41 -- Wolfgang Ehrhardt suggested a quick fix to mp_div_d() which makes the detection of powers of two quicker. -- [CRI] Added libtommath.dsp for Visual C++ users. diff --git a/libtommath/demo/demo.c b/libtommath/demo/demo.c index bb5eb44..3e5663b 100644 --- a/libtommath/demo/demo.c +++ b/libtommath/demo/demo.c @@ -735,6 +735,6 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } return 0; } -/* $Source: /cvs/libtom/libtommath/demo/demo.c,v $ */ -/* $Revision: 1.3 $ */ -/* $Date: 2005/06/24 11:32:07 $ */ +/* $Source$ */ +/* $Revision: 0.36 $ */ +/* $Date: 2005-08-01 16:37:28 +0000 $ */ diff --git a/libtommath/demo/timing.c b/libtommath/demo/timing.c index d4660a9..57bb6d4 100644 --- a/libtommath/demo/timing.c +++ b/libtommath/demo/timing.c @@ -314,6 +314,6 @@ int main(void) return 0; } -/* $Source: /cvs/libtom/libtommath/demo/timing.c,v $ */ -/* $Revision: 1.2 $ */ -/* $Date: 2005/05/05 14:38:47 $ */ +/* $Source$ */ +/* $Revision: 0.36 $ */ +/* $Date: 2005-08-01 16:37:28 +0000 $ */ diff --git a/libtommath/etc/2kprime.c b/libtommath/etc/2kprime.c index c09818f..fff4825 100644 --- a/libtommath/etc/2kprime.c +++ b/libtommath/etc/2kprime.c @@ -79,6 +79,6 @@ int main(void) -/* $Source: /cvs/libtom/libtommath/etc/2kprime.c,v $ */ -/* $Revision: 1.2 $ */ -/* $Date: 2005/05/05 14:38:47 $ */ +/* $Source$ */ +/* $Revision: 0.36 $ */ +/* $Date: 2005-08-01 16:37:28 +0000 $ */ diff --git a/libtommath/etc/drprime.c b/libtommath/etc/drprime.c index e413985..ea40bd3 100644 --- a/libtommath/etc/drprime.c +++ b/libtommath/etc/drprime.c @@ -59,6 +59,6 @@ int main(void) } -/* $Source: /cvs/libtom/libtommath/etc/drprime.c,v $ */ -/* $Revision: 1.2 $ */ -/* $Date: 2005/05/05 14:38:47 $ */ +/* $Source$ */ +/* $Revision: 0.36 $ */ +/* $Date: 2005-08-01 16:37:28 +0000 $ */ diff --git a/libtommath/etc/mersenne.c b/libtommath/etc/mersenne.c index 6a6497a..6f9eed2 100644 --- a/libtommath/etc/mersenne.c +++ b/libtommath/etc/mersenne.c @@ -139,6 +139,6 @@ main (void) return 0; } -/* $Source: /cvs/libtom/libtommath/etc/mersenne.c,v $ */ -/* $Revision: 1.3 $ */ -/* $Date: 2006/03/31 14:18:47 $ */ +/* $Source$ */ +/* $Revision: 0.39 $ */ +/* $Date: 2006-04-06 19:49:59 +0000 $ */ diff --git a/libtommath/etc/mont.c b/libtommath/etc/mont.c index 393be4c..8356903 100644 --- a/libtommath/etc/mont.c +++ b/libtommath/etc/mont.c @@ -45,6 +45,6 @@ int main(void) -/* $Source: /cvs/libtom/libtommath/etc/mont.c,v $ */ -/* $Revision: 1.2 $ */ -/* $Date: 2005/05/05 14:38:47 $ */ +/* $Source$ */ +/* $Revision: 0.36 $ */ +/* $Date: 2005-08-01 16:37:28 +0000 $ */ diff --git a/libtommath/etc/pprime.c b/libtommath/etc/pprime.c index 317e2a0..d2d3a32 100644 --- a/libtommath/etc/pprime.c +++ b/libtommath/etc/pprime.c @@ -395,6 +395,6 @@ main (void) return 0; } -/* $Source: /cvs/libtom/libtommath/etc/pprime.c,v $ */ -/* $Revision: 1.3 $ */ -/* $Date: 2006/03/31 14:18:47 $ */ +/* $Source$ */ +/* $Revision: 0.39 $ */ +/* $Date: 2006-04-06 19:49:59 +0000 $ */ diff --git a/libtommath/etc/tune.c b/libtommath/etc/tune.c index d4a502c..0094f19 100644 --- a/libtommath/etc/tune.c +++ b/libtommath/etc/tune.c @@ -137,6 +137,6 @@ main (void) return 0; } -/* $Source: /cvs/libtom/libtommath/etc/tune.c,v $ */ -/* $Revision: 1.3 $ */ -/* $Date: 2006/03/31 14:18:47 $ */ +/* $Source$ */ +/* $Revision: 0.39 $ */ +/* $Date: 2006-04-06 19:49:59 +0000 $ */ diff --git a/libtommath/libtommath_VS2005.sln b/libtommath/libtommath_VS2005.sln new file mode 100755 index 0000000..21bc915 --- /dev/null +++ b/libtommath/libtommath_VS2005.sln @@ -0,0 +1,20 @@ + +Microsoft Visual Studio Solution File, Format Version 9.00 +# Visual Studio 2005 +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "libtommath", "libtommath_VS2005.vcproj", "{0272C9B2-D68B-4F24-B32D-C1FD552F7E51}" +EndProject +Global + GlobalSection(SolutionConfigurationPlatforms) = preSolution + Debug|Win32 = Debug|Win32 + Release|Win32 = Release|Win32 + EndGlobalSection + GlobalSection(ProjectConfigurationPlatforms) = postSolution + {0272C9B2-D68B-4F24-B32D-C1FD552F7E51}.Debug|Win32.ActiveCfg = Debug|Win32 + {0272C9B2-D68B-4F24-B32D-C1FD552F7E51}.Debug|Win32.Build.0 = Debug|Win32 + {0272C9B2-D68B-4F24-B32D-C1FD552F7E51}.Release|Win32.ActiveCfg = Release|Win32 + {0272C9B2-D68B-4F24-B32D-C1FD552F7E51}.Release|Win32.Build.0 = Release|Win32 + EndGlobalSection + GlobalSection(SolutionProperties) = preSolution + HideSolutionNode = FALSE + EndGlobalSection +EndGlobal diff --git a/libtommath/libtommath_VS2005.vcproj b/libtommath/libtommath_VS2005.vcproj new file mode 100755 index 0000000..7162185 --- /dev/null +++ b/libtommath/libtommath_VS2005.vcproj @@ -0,0 +1,2803 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/libtommath/libtommath_VS2008.sln b/libtommath/libtommath_VS2008.sln new file mode 100755 index 0000000..1327ccf --- /dev/null +++ b/libtommath/libtommath_VS2008.sln @@ -0,0 +1,20 @@ + +Microsoft Visual Studio Solution File, Format Version 10.00 +# Visual Studio 2008 +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "libtommath", "libtommath_VS2008.vcproj", "{42109FEE-B0B9-4FCD-9E56-2863BF8C55D2}" +EndProject +Global + GlobalSection(SolutionConfigurationPlatforms) = preSolution + Debug|Win32 = Debug|Win32 + Release|Win32 = Release|Win32 + EndGlobalSection + GlobalSection(ProjectConfigurationPlatforms) = postSolution + {42109FEE-B0B9-4FCD-9E56-2863BF8C55D2}.Debug|Win32.ActiveCfg = Debug|Win32 + {42109FEE-B0B9-4FCD-9E56-2863BF8C55D2}.Debug|Win32.Build.0 = Debug|Win32 + {42109FEE-B0B9-4FCD-9E56-2863BF8C55D2}.Release|Win32.ActiveCfg = Release|Win32 + {42109FEE-B0B9-4FCD-9E56-2863BF8C55D2}.Release|Win32.Build.0 = Release|Win32 + EndGlobalSection + GlobalSection(SolutionProperties) = preSolution + HideSolutionNode = FALSE + EndGlobalSection +EndGlobal diff --git a/libtommath/libtommath_VS2008.vcproj b/libtommath/libtommath_VS2008.vcproj new file mode 100755 index 0000000..205aec1 --- /dev/null +++ b/libtommath/libtommath_VS2008.vcproj @@ -0,0 +1,2805 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + 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+ + + + + + + + + diff --git a/libtommath/makefile b/libtommath/makefile index 3e254d4..70de306 100644 --- a/libtommath/makefile +++ b/libtommath/makefile @@ -3,7 +3,7 @@ #Tom St Denis #version of library -VERSION=0.41 +VERSION=0.42.0 CFLAGS += -I./ -Wall -W -Wshadow -Wsign-compare diff --git a/libtommath/mtest/logtab.h b/libtommath/mtest/logtab.h index bbefaef..04c1ad3 100644 --- a/libtommath/mtest/logtab.h +++ b/libtommath/mtest/logtab.h @@ -19,6 +19,6 @@ const float s_logv_2[] = { }; -/* $Source: /cvs/libtom/libtommath/mtest/logtab.h,v $ */ -/* $Revision: 1.2 $ */ -/* $Date: 2005/05/05 14:38:47 $ */ +/* $Source$ */ +/* $Revision: 0.36 $ */ +/* $Date: 2005-08-01 16:37:28 +0000 $ */ diff --git a/libtommath/mtest/mpi-config.h b/libtommath/mtest/mpi-config.h index 6049c25..21e72b2 100644 --- a/libtommath/mtest/mpi-config.h +++ b/libtommath/mtest/mpi-config.h @@ -1,5 +1,5 @@ /* Default configuration for MPI library */ -/* $Id: mpi-config.h,v 1.2 2005/05/05 14:38:47 tom Exp $ */ +/* $ID$ */ #ifndef MPI_CONFIG_H_ #define MPI_CONFIG_H_ @@ -85,6 +85,6 @@ /* crc==3287762869, version==2, Sat Feb 02 06:43:53 2002 */ -/* $Source: /cvs/libtom/libtommath/mtest/mpi-config.h,v $ */ -/* $Revision: 1.2 $ */ -/* $Date: 2005/05/05 14:38:47 $ */ +/* $Source$ */ +/* $Revision: 0.36 $ */ +/* $Date: 2005-08-01 16:37:28 +0000 $ */ diff --git a/libtommath/mtest/mpi-types.h b/libtommath/mtest/mpi-types.h index 026de58..a90f11e 100644 --- a/libtommath/mtest/mpi-types.h +++ b/libtommath/mtest/mpi-types.h @@ -15,6 +15,6 @@ typedef int mp_err; #define RADIX (MP_DIGIT_MAX+1) -/* $Source: /cvs/libtom/libtommath/mtest/mpi-types.h,v $ */ -/* $Revision: 1.2 $ */ -/* $Date: 2005/05/05 14:38:47 $ */ +/* $Source$ */ +/* $Revision: 0.36 $ */ +/* $Date: 2005-08-01 16:37:28 +0000 $ */ diff --git a/libtommath/mtest/mpi.c b/libtommath/mtest/mpi.c index 7c712dd..f6ef8c7 100644 --- a/libtommath/mtest/mpi.c +++ b/libtommath/mtest/mpi.c @@ -6,7 +6,7 @@ Arbitrary precision integer arithmetic library - $Id: mpi.c,v 1.2 2005/05/05 14:38:47 tom Exp $ + $ID$ */ #include "mpi.h" @@ -3980,6 +3980,6 @@ int s_mp_outlen(int bits, int r) /* HERE THERE BE DRAGONS */ /* crc==4242132123, version==2, Sat Feb 02 06:43:52 2002 */ -/* $Source: /cvs/libtom/libtommath/mtest/mpi.c,v $ */ -/* $Revision: 1.2 $ */ -/* $Date: 2005/05/05 14:38:47 $ */ +/* $Source$ */ +/* $Revision: 0.36 $ */ +/* $Date: 2005-08-01 16:37:28 +0000 $ */ diff --git a/libtommath/mtest/mpi.h b/libtommath/mtest/mpi.h index 66ae873..526c3fd 100644 --- a/libtommath/mtest/mpi.h +++ b/libtommath/mtest/mpi.h @@ -6,7 +6,7 @@ Arbitrary precision integer arithmetic library - $Id: mpi.h,v 1.2 2005/05/05 14:38:47 tom Exp $ + $ID$ */ #ifndef _H_MPI_ @@ -226,6 +226,6 @@ const char *mp_strerror(mp_err ec); #endif /* end _H_MPI_ */ -/* $Source: /cvs/libtom/libtommath/mtest/mpi.h,v $ */ -/* $Revision: 1.2 $ */ -/* $Date: 2005/05/05 14:38:47 $ */ +/* $Source$ */ +/* $Revision: 0.36 $ */ +/* $Date: 2005-08-01 16:37:28 +0000 $ */ diff --git a/libtommath/mtest/mtest.c b/libtommath/mtest/mtest.c index bdfe612..92f03ad 100644 --- a/libtommath/mtest/mtest.c +++ b/libtommath/mtest/mtest.c @@ -303,6 +303,6 @@ int main(void) return 0; } -/* $Source: /cvs/libtom/libtommath/mtest/mtest.c,v $ */ -/* $Revision: 1.2 $ */ -/* $Date: 2005/05/05 14:38:47 $ */ +/* $Source$ */ +/* $Revision: 0.36 $ */ +/* $Date: 2005-08-01 16:37:28 +0000 $ */ diff --git a/libtommath/poster.pdf b/libtommath/poster.pdf index f3768d7..dc80fbb 100644 Binary files a/libtommath/poster.pdf and b/libtommath/poster.pdf differ diff --git a/libtommath/pre_gen/mpi.c b/libtommath/pre_gen/mpi.c index b7f4d47..7ba9d83 100644 --- a/libtommath/pre_gen/mpi.c +++ b/libtommath/pre_gen/mpi.c @@ -43,9 +43,9 @@ char *mp_error_to_string(int code) #endif -/* $Source: /cvs/libtom/libtommath/bn_error.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_error.c */ @@ -195,9 +195,9 @@ LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &B, &D, NULL); } #endif -/* $Source: /cvs/libtom/libtommath/bn_fast_mp_invmod.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_fast_mp_invmod.c */ @@ -371,9 +371,9 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) } #endif -/* $Source: /cvs/libtom/libtommath/bn_fast_mp_montgomery_reduce.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_fast_mp_montgomery_reduce.c */ @@ -482,9 +482,9 @@ int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) } #endif -/* $Source: /cvs/libtom/libtommath/bn_fast_s_mp_mul_digs.c,v $ */ -/* $Revision: 1.8 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_fast_s_mp_mul_digs.c */ @@ -584,9 +584,9 @@ int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) } #endif -/* $Source: /cvs/libtom/libtommath/bn_fast_s_mp_mul_high_digs.c,v $ */ -/* $Revision: 1.6 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_fast_s_mp_mul_high_digs.c */ @@ -702,9 +702,9 @@ int fast_s_mp_sqr (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_fast_s_mp_sqr.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_fast_s_mp_sqr.c */ @@ -754,9 +754,9 @@ mp_2expt (mp_int * a, int b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_2expt.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_2expt.c */ @@ -801,9 +801,9 @@ mp_abs (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_abs.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_abs.c */ @@ -858,9 +858,9 @@ int mp_add (mp_int * a, mp_int * b, mp_int * c) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_add.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_add.c */ @@ -974,9 +974,9 @@ mp_add_d (mp_int * a, mp_digit b, mp_int * c) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_add_d.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_add_d.c */ @@ -1019,9 +1019,9 @@ mp_addmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_addmod.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_addmod.c */ @@ -1080,9 +1080,9 @@ mp_and (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_and.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_and.c */ @@ -1128,9 +1128,9 @@ mp_clamp (mp_int * a) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_clamp.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_clamp.c */ @@ -1176,9 +1176,9 @@ mp_clear (mp_int * a) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_clear.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_clear.c */ @@ -1214,9 +1214,9 @@ void mp_clear_multi(mp_int *mp, ...) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_clear_multi.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_clear_multi.c */ @@ -1261,9 +1261,9 @@ mp_cmp (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_cmp.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_cmp.c */ @@ -1309,9 +1309,9 @@ int mp_cmp_d(mp_int * a, mp_digit b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_cmp_d.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_cmp_d.c */ @@ -1368,9 +1368,9 @@ int mp_cmp_mag (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_cmp_mag.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_cmp_mag.c */ @@ -1425,9 +1425,9 @@ int mp_cnt_lsb(mp_int *a) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_cnt_lsb.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_cnt_lsb.c */ @@ -1497,9 +1497,9 @@ mp_copy (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_copy.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_copy.c */ @@ -1546,9 +1546,9 @@ mp_count_bits (mp_int * a) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_count_bits.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_count_bits.c */ @@ -1842,9 +1842,9 @@ LBL_Q:mp_clear (&q); #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_div.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_div.c */ @@ -1914,9 +1914,9 @@ int mp_div_2(mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_div_2.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_div_2.c */ @@ -2015,9 +2015,9 @@ int mp_div_2d (mp_int * a, int b, mp_int * c, mp_int * d) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_div_2d.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_div_2d.c */ @@ -2098,9 +2098,9 @@ mp_div_3 (mp_int * a, mp_int *c, mp_digit * d) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_div_3.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_div_3.c */ @@ -2217,9 +2217,9 @@ int mp_div_d (mp_int * a, mp_digit b, mp_int * c, mp_digit * d) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_div_d.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2007/01/09 04:44:32 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_div_d.c */ @@ -2264,9 +2264,9 @@ int mp_dr_is_modulus(mp_int *a) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_dr_is_modulus.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_dr_is_modulus.c */ @@ -2362,9 +2362,9 @@ top: } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_dr_reduce.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_dr_reduce.c */ @@ -2398,9 +2398,9 @@ void mp_dr_setup(mp_int *a, mp_digit *d) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_dr_setup.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_dr_setup.c */ @@ -2436,9 +2436,9 @@ mp_exch (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_exch.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_exch.c */ @@ -2497,9 +2497,9 @@ int mp_expt_d (mp_int * a, mp_digit b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_expt_d.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_expt_d.c */ @@ -2613,9 +2613,9 @@ int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_exptmod.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_exptmod.c */ @@ -2938,9 +2938,9 @@ LBL_M: #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_exptmod_fast.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_exptmod_fast.c */ @@ -3024,9 +3024,9 @@ _ERR: mp_clear_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_exteuclid.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_exteuclid.c */ @@ -3095,9 +3095,9 @@ int mp_fread(mp_int *a, int radix, FILE *stream) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_fread.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_fread.c */ @@ -3151,9 +3151,9 @@ int mp_fwrite(mp_int *a, int radix, FILE *stream) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_fwrite.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_fwrite.c */ @@ -3260,9 +3260,9 @@ LBL_U:mp_clear (&v); } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_gcd.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_gcd.c */ @@ -3309,9 +3309,9 @@ unsigned long mp_get_int(mp_int * a) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_get_int.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_get_int.c */ @@ -3370,9 +3370,9 @@ int mp_grow (mp_int * a, int size) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_grow.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_grow.c */ @@ -3420,9 +3420,9 @@ int mp_init (mp_int * a) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_init.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_init.c */ @@ -3456,9 +3456,9 @@ int mp_init_copy (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_init_copy.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_init_copy.c */ @@ -3519,9 +3519,9 @@ int mp_init_multi(mp_int *mp, ...) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_init_multi.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_init_multi.c */ @@ -3555,9 +3555,9 @@ int mp_init_set (mp_int * a, mp_digit b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_init_set.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_init_set.c */ @@ -3590,9 +3590,9 @@ int mp_init_set_int (mp_int * a, unsigned long b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_init_set_int.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_init_set_int.c */ @@ -3642,9 +3642,9 @@ int mp_init_size (mp_int * a, int size) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_init_size.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_init_size.c */ @@ -3689,9 +3689,9 @@ int mp_invmod (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_invmod.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_invmod.c */ @@ -3868,9 +3868,9 @@ LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &A, &B, &C, &D, NULL); } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_invmod_slow.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_invmod_slow.c */ @@ -3981,9 +3981,9 @@ ERR:mp_clear(&t); } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_is_square.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_is_square.c */ @@ -4090,9 +4090,9 @@ LBL_A1:mp_clear (&a1); } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_jacobi.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_jacobi.c */ @@ -4261,9 +4261,9 @@ ERR: } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_karatsuba_mul.c,v $ */ -/* $Revision: 1.6 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_karatsuba_mul.c */ @@ -4386,9 +4386,9 @@ ERR: } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_karatsuba_sqr.c,v $ */ -/* $Revision: 1.6 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_karatsuba_sqr.c */ @@ -4450,9 +4450,9 @@ LBL_T: } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_lcm.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_lcm.c */ @@ -4521,9 +4521,9 @@ int mp_lshd (mp_int * a, int b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_lshd.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_lshd.c */ @@ -4573,9 +4573,9 @@ mp_mod (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_mod.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_mod.c */ @@ -4632,9 +4632,9 @@ mp_mod_2d (mp_int * a, int b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_mod_2d.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_mod_2d.c */ @@ -4663,9 +4663,9 @@ mp_mod_d (mp_int * a, mp_digit b, mp_digit * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_mod_d.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_mod_d.c */ @@ -4726,9 +4726,9 @@ int mp_montgomery_calc_normalization (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_montgomery_calc_normalization.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_montgomery_calc_normalization.c */ @@ -4848,9 +4848,9 @@ mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_montgomery_reduce.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_montgomery_reduce.c */ @@ -4911,9 +4911,9 @@ mp_montgomery_setup (mp_int * n, mp_digit * rho) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_montgomery_setup.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_montgomery_setup.c */ @@ -4981,9 +4981,9 @@ int mp_mul (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_mul.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_mul.c */ @@ -5067,9 +5067,9 @@ int mp_mul_2(mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_mul_2.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_mul_2.c */ @@ -5156,9 +5156,9 @@ int mp_mul_2d (mp_int * a, int b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_mul_2d.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_mul_2d.c */ @@ -5239,9 +5239,9 @@ mp_mul_d (mp_int * a, mp_digit b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_mul_d.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_mul_d.c */ @@ -5283,9 +5283,9 @@ int mp_mulmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_mulmod.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_mulmod.c */ @@ -5419,9 +5419,9 @@ LBL_T1:mp_clear (&t1); } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_n_root.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_n_root.c */ @@ -5463,9 +5463,9 @@ int mp_neg (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_neg.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_neg.c */ @@ -5517,9 +5517,9 @@ int mp_or (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_or.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_or.c */ @@ -5583,9 +5583,9 @@ LBL_T:mp_clear (&t); } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_prime_fermat.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_prime_fermat.c */ @@ -5637,9 +5637,9 @@ int mp_prime_is_divisible (mp_int * a, int *result) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_prime_is_divisible.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_prime_is_divisible.c */ @@ -5724,9 +5724,9 @@ LBL_B:mp_clear (&b); } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_prime_is_prime.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_prime_is_prime.c */ @@ -5831,9 +5831,9 @@ LBL_N1:mp_clear (&n1); } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_prime_miller_rabin.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_prime_miller_rabin.c */ @@ -5983,7 +5983,7 @@ int mp_prime_next_prime(mp_int *a, int t, int bbs_style) /* is this prime? */ for (x = 0; x < t; x++) { - mp_set(&b, ltm_prime_tab[t]); + mp_set(&b, ltm_prime_tab[x]); if ((err = mp_prime_miller_rabin(a, &b, &res)) != MP_OKAY) { goto LBL_ERR; } @@ -6005,9 +6005,9 @@ LBL_ERR: #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_prime_next_prime.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: v0.42.0 $ */ +/* $Date: 2010-07-15 13:49:00 +0000 $ */ /* End: bn_mp_prime_next_prime.c */ @@ -6061,9 +6061,9 @@ int mp_prime_rabin_miller_trials(int size) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_prime_rabin_miller_trials.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_prime_rabin_miller_trials.c */ @@ -6190,9 +6190,9 @@ error: #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_prime_random_ex.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_prime_random_ex.c */ @@ -6272,9 +6272,9 @@ int mp_radix_size (mp_int * a, int radix, int *size) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_radix_size.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_radix_size.c */ @@ -6300,9 +6300,9 @@ int mp_radix_size (mp_int * a, int radix, int *size) const char *mp_s_rmap = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz+/"; #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_radix_smap.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_radix_smap.c */ @@ -6359,9 +6359,9 @@ mp_rand (mp_int * a, int digits) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_rand.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_rand.c */ @@ -6448,9 +6448,9 @@ int mp_read_radix (mp_int * a, const char *str, int radix) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_read_radix.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_read_radix.c */ @@ -6493,9 +6493,9 @@ int mp_read_signed_bin (mp_int * a, const unsigned char *b, int c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_read_signed_bin.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_read_signed_bin.c */ @@ -6552,9 +6552,9 @@ int mp_read_unsigned_bin (mp_int * a, const unsigned char *b, int c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_read_unsigned_bin.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_read_unsigned_bin.c */ @@ -6656,9 +6656,9 @@ CLEANUP: } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_reduce.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_reduce.c */ @@ -6721,9 +6721,9 @@ ERR: #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_2k.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_reduce_2k.c */ @@ -6787,9 +6787,9 @@ ERR: #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_2k_l.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_reduce_2k_l.c */ @@ -6838,9 +6838,9 @@ int mp_reduce_2k_setup(mp_int *a, mp_digit *d) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_2k_setup.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_reduce_2k_setup.c */ @@ -6886,9 +6886,9 @@ ERR: } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_2k_setup_l.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_reduce_2k_setup_l.c */ @@ -6942,9 +6942,9 @@ int mp_reduce_is_2k(mp_int *a) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_is_2k.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_reduce_is_2k.c */ @@ -6990,9 +6990,9 @@ int mp_reduce_is_2k_l(mp_int *a) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_is_2k_l.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_reduce_is_2k_l.c */ @@ -7028,9 +7028,9 @@ int mp_reduce_setup (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_setup.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_reduce_setup.c */ @@ -7104,9 +7104,9 @@ void mp_rshd (mp_int * a, int b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_rshd.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_rshd.c */ @@ -7137,9 +7137,9 @@ void mp_set (mp_int * a, mp_digit b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_set.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_set.c */ @@ -7189,9 +7189,9 @@ int mp_set_int (mp_int * a, unsigned long b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_set_int.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_set_int.c */ @@ -7217,20 +7217,25 @@ int mp_set_int (mp_int * a, unsigned long b) int mp_shrink (mp_int * a) { mp_digit *tmp; - if (a->alloc != a->used && a->used > 0) { - if ((tmp = OPT_CAST(mp_digit) XREALLOC (a->dp, sizeof (mp_digit) * a->used)) == NULL) { + int used = 1; + + if(a->used > 0) + used = a->used; + + if (a->alloc != used) { + if ((tmp = OPT_CAST(mp_digit) XREALLOC (a->dp, sizeof (mp_digit) * used)) == NULL) { return MP_MEM; } a->dp = tmp; - a->alloc = a->used; + a->alloc = used; } return MP_OKAY; } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_shrink.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: v0.42.0 $ */ +/* $Date: 2010-06-02 15:09:36 +0200 $ */ /* End: bn_mp_shrink.c */ @@ -7259,9 +7264,9 @@ int mp_signed_bin_size (mp_int * a) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_signed_bin_size.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_signed_bin_size.c */ @@ -7321,9 +7326,9 @@ if (a->used >= KARATSUBA_SQR_CUTOFF) { } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_sqr.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_sqr.c */ @@ -7366,9 +7371,9 @@ mp_sqrmod (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_sqrmod.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_sqrmod.c */ @@ -7451,9 +7456,9 @@ E2: mp_clear(&t1); #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_sqrt.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_sqrt.c */ @@ -7514,9 +7519,9 @@ mp_sub (mp_int * a, mp_int * b, mp_int * c) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_sub.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_sub.c */ @@ -7611,9 +7616,9 @@ mp_sub_d (mp_int * a, mp_digit b, mp_int * c) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_sub_d.c,v $ */ -/* $Revision: 1.6 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_sub_d.c */ @@ -7657,9 +7662,9 @@ mp_submod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_submod.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_submod.c */ @@ -7694,9 +7699,9 @@ int mp_to_signed_bin (mp_int * a, unsigned char *b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_to_signed_bin.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_to_signed_bin.c */ @@ -7729,9 +7734,9 @@ int mp_to_signed_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_to_signed_bin_n.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_to_signed_bin_n.c */ @@ -7781,9 +7786,9 @@ int mp_to_unsigned_bin (mp_int * a, unsigned char *b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_to_unsigned_bin.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_to_unsigned_bin.c */ @@ -7816,9 +7821,9 @@ int mp_to_unsigned_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_to_unsigned_bin_n.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_to_unsigned_bin_n.c */ @@ -8104,9 +8109,9 @@ ERR: #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_toom_mul.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_toom_mul.c */ @@ -8334,9 +8339,9 @@ ERR: #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_toom_sqr.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_toom_sqr.c */ @@ -8413,9 +8418,9 @@ int mp_toradix (mp_int * a, char *str, int radix) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_toradix.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_toradix.c */ @@ -8505,9 +8510,9 @@ int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_toradix_n.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_toradix_n.c */ @@ -8537,9 +8542,9 @@ int mp_unsigned_bin_size (mp_int * a) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_unsigned_bin_size.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_unsigned_bin_size.c */ @@ -8592,9 +8597,9 @@ mp_xor (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_xor.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_xor.c */ @@ -8632,9 +8637,9 @@ void mp_zero (mp_int * a) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_zero.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_zero.c */ @@ -8697,9 +8702,9 @@ const mp_digit ltm_prime_tab[] = { }; #endif -/* $Source: /cvs/libtom/libtommath/bn_prime_tab.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_prime_tab.c */ @@ -8740,9 +8745,9 @@ bn_reverse (unsigned char *s, int len) } #endif -/* $Source: /cvs/libtom/libtommath/bn_reverse.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_reverse.c */ @@ -8853,9 +8858,9 @@ s_mp_add (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_s_mp_add.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_s_mp_add.c */ @@ -9109,9 +9114,9 @@ LBL_M: } #endif -/* $Source: /cvs/libtom/libtommath/bn_s_mp_exptmod.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_s_mp_exptmod.c */ @@ -9203,9 +9208,9 @@ int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) } #endif -/* $Source: /cvs/libtom/libtommath/bn_s_mp_mul_digs.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_s_mp_mul_digs.c */ @@ -9288,9 +9293,9 @@ s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) } #endif -/* $Source: /cvs/libtom/libtommath/bn_s_mp_mul_high_digs.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_s_mp_mul_high_digs.c */ @@ -9376,9 +9381,9 @@ int s_mp_sqr (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_s_mp_sqr.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_s_mp_sqr.c */ @@ -9469,9 +9474,9 @@ s_mp_sub (mp_int * a, mp_int * b, mp_int * c) #endif -/* $Source: /cvs/libtom/libtommath/bn_s_mp_sub.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_s_mp_sub.c */ @@ -9509,9 +9514,9 @@ int KARATSUBA_MUL_CUTOFF = 80, /* Min. number of digits before Karatsub TOOM_SQR_CUTOFF = 400; #endif -/* $Source: /cvs/libtom/libtommath/bncore.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bncore.c */ diff --git a/libtommath/tommath.h b/libtommath/tommath.h index 3c00b9e..cf9c499 100644 --- a/libtommath/tommath.h +++ b/libtommath/tommath.h @@ -579,6 +579,6 @@ extern const char *mp_s_rmap; #endif -/* $Source: /cvs/libtom/libtommath/tommath.h,v $ */ -/* $Revision: 1.8 $ */ -/* $Date: 2006/03/31 14:18:44 $ */ +/* $Source$ */ +/* $Revision: 0.39 $ */ +/* $Date: 2006-04-06 19:49:59 +0000 $ */ diff --git a/libtommath/tommath.pdf b/libtommath/tommath.pdf index 33994c3..0b68941 100644 Binary files a/libtommath/tommath.pdf and b/libtommath/tommath.pdf differ diff --git a/libtommath/tommath_class.h b/libtommath/tommath_class.h index 166dd80..1e29c8f 100644 --- a/libtommath/tommath_class.h +++ b/libtommath/tommath_class.h @@ -994,6 +994,6 @@ #define LTM_LAST #endif -/* $Source: /cvs/libtom/libtommath/tommath_class.h,v $ */ -/* $Revision: 1.3 $ */ -/* $Date: 2005/07/28 11:59:32 $ */ +/* $Source$ */ +/* $Revision: 0.36 $ */ +/* $Date: 2005-08-01 16:37:28 +0000 $ */ diff --git a/libtommath/tommath_superclass.h b/libtommath/tommath_superclass.h index 2fdebe6..89d5516 100644 --- a/libtommath/tommath_superclass.h +++ b/libtommath/tommath_superclass.h @@ -71,6 +71,6 @@ #endif -/* $Source: /cvs/libtom/libtommath/tommath_superclass.h,v $ */ -/* $Revision: 1.3 $ */ -/* $Date: 2005/05/14 13:29:17 $ */ +/* $Source$ */ +/* $Revision: 0.36 $ */ +/* $Date: 2005-08-01 16:37:28 +0000 $ */ -- cgit v0.12 From f82f46df1628c6703ad0ff2b94d83c6c9a46c56f Mon Sep 17 00:00:00 2001 From: Kevin B Kenny Date: Wed, 21 Oct 2015 23:30:41 +0000 Subject: Micro-optimization: remove double checked lock from TclGetAllocCache in favour of initialization in TclInitSubsystems --- generic/tclEvent.c | 3 +++ generic/tclInt.h | 3 +++ unix/tclUnixThrd.c | 27 ++++++++++----------------- win/tclWinThrd.c | 33 +++++++++++++++------------------ 4 files changed, 31 insertions(+), 35 deletions(-) diff --git a/generic/tclEvent.c b/generic/tclEvent.c index 8305410..d62850b 100644 --- a/generic/tclEvent.c +++ b/generic/tclEvent.c @@ -1043,6 +1043,9 @@ TclInitSubsystems(void) #if USE_TCLALLOC TclInitAlloc(); /* Process wide mutex init */ #endif +#if defined(TCL_THREADS) && defined(USE_THREAD_ALLOC) + TclpInitThreadAlloc(); +#endif #ifdef TCL_MEM_DEBUG TclInitDbCkalloc(); /* Process wide mutex init */ #endif diff --git a/generic/tclInt.h b/generic/tclInt.h index 356d250..d4baed4 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -3146,6 +3146,9 @@ MODULE_SCOPE int TclpLoadMemory(Tcl_Interp *interp, void *buffer, Tcl_FSUnloadFileProc **unloadProcPtr, int flags); #endif MODULE_SCOPE void TclInitThreadStorage(void); +#if defined(TCL_THREADS) && defined(USE_THREAD_ALLOC) +MODULE_SCOPE void TclpInitThreadAlloc(void); +#endif MODULE_SCOPE void TclFinalizeThreadDataThread(void); MODULE_SCOPE void TclFinalizeThreadStorage(void); #ifdef TCL_WIDE_CLICKS diff --git a/unix/tclUnixThrd.c b/unix/tclUnixThrd.c index ea03332..0f4a8a3 100644 --- a/unix/tclUnixThrd.c +++ b/unix/tclUnixThrd.c @@ -680,7 +680,6 @@ TclpInetNtoa( */ #ifdef USE_THREAD_ALLOC -static volatile int initialized = 0; static pthread_key_t key; typedef struct allocMutex { @@ -727,29 +726,23 @@ TclpFreeAllocCache( TclFreeAllocCache(ptr); pthread_setspecific(key, NULL); - - } else if (initialized) { - /* - * Called by us in TclFinalizeThreadAlloc() during the library - * finalization initiated from Tcl_Finalize() - */ - + + } else { pthread_key_delete(key); - initialized = 0; } } +void +TclpInitThreadAlloc(void) +{ + pthread_mutex_lock(allocLockPtr); + pthread_key_create(&key, TclpFreeAllocCache); + pthread_mutex_unlock(allocLockPtr); +} + void * TclpGetAllocCache(void) { - if (!initialized) { - pthread_mutex_lock(allocLockPtr); - if (!initialized) { - pthread_key_create(&key, TclpFreeAllocCache); - initialized = 1; - } - pthread_mutex_unlock(allocLockPtr); - } return pthread_getspecific(key); } diff --git a/win/tclWinThrd.c b/win/tclWinThrd.c index 1c9d483..fac8ab3 100644 --- a/win/tclWinThrd.c +++ b/win/tclWinThrd.c @@ -122,7 +122,6 @@ typedef struct WinCondition { */ #ifdef USE_THREAD_ALLOC -static int once; static DWORD tlsKey; typedef struct allocMutex { @@ -971,24 +970,24 @@ TclpFreeAllocMutex( free(lockPtr); } +void +TclInitThreadAlloc(void) +{ + /* + * We need to make sure that TclpFreeAllocCache is called on each + * thread that calls this, but only on threads that call this. + */ + + tlsKey = TlsAlloc(); + if (tlsKey == TLS_OUT_OF_INDEXES) { + Tcl_Panic("could not allocate thread local storage"); + } +} + void * TclpGetAllocCache(void) { void *result; - - if (!once) { - /* - * We need to make sure that TclpFreeAllocCache is called on each - * thread that calls this, but only on threads that call this. - */ - - tlsKey = TlsAlloc(); - once = 1; - if (tlsKey == TLS_OUT_OF_INDEXES) { - Tcl_Panic("could not allocate thread local storage"); - } - } - result = TlsGetValue(tlsKey); if ((result == NULL) && (GetLastError() != NO_ERROR)) { Tcl_Panic("TlsGetValue failed from TclpGetAllocCache"); @@ -1024,7 +1023,7 @@ TclpFreeAllocCache( if (!success) { Tcl_Panic("TlsSetValue failed from TclpFreeAllocCache"); } - } else if (once) { + } else { /* * Called by us in TclFinalizeThreadAlloc() during the library * finalization initiated from Tcl_Finalize() @@ -1034,9 +1033,7 @@ TclpFreeAllocCache( if (!success) { Tcl_Panic("TlsFree failed from TclpFreeAllocCache"); } - once = 0; /* reset for next time. */ } - } #endif /* USE_THREAD_ALLOC */ -- cgit v0.12 From ea342f5111aeaaf3b3da7e7e75df24f55a0f3e7d Mon Sep 17 00:00:00 2001 From: dkf Date: Thu, 22 Oct 2015 01:00:28 +0000 Subject: Turn off NRE asserts by default. About a 5% speedup on [clock format]. --- generic/tclBasic.c | 3 --- generic/tclExecute.c | 3 --- generic/tclInt.h | 4 +++- 3 files changed, 3 insertions(+), 7 deletions(-) diff --git a/generic/tclBasic.c b/generic/tclBasic.c index a09bf10..5c5bc64 100644 --- a/generic/tclBasic.c +++ b/generic/tclBasic.c @@ -22,10 +22,7 @@ #include "tclCompile.h" #include "tommath.h" #include - -#if NRE_ENABLE_ASSERTS #include -#endif #define INTERP_STACK_INITIAL_SIZE 2000 #define CORO_STACK_INITIAL_SIZE 200 diff --git a/generic/tclExecute.c b/generic/tclExecute.c index 7f65262..b10af65 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -20,10 +20,7 @@ #include "tclOOInt.h" #include "tommath.h" #include - -#if NRE_ENABLE_ASSERTS #include -#endif /* * Hack to determine whether we may expect IEEE floating point. The hack is diff --git a/generic/tclInt.h b/generic/tclInt.h index d4baed4..50eb370 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -4799,7 +4799,9 @@ void Tcl_Panic(const char *, ...) __attribute__((analyzer_noreturn)); */ #define NRE_USE_SMALL_ALLOC 1 /* Only turn off for debugging purposes. */ -#define NRE_ENABLE_ASSERTS 1 +#ifndef NRE_ENABLE_ASSERTS +#define NRE_ENABLE_ASSERTS 0 +#endif /* * This is the main data struct for representing NR commands. It is designed -- cgit v0.12 From ca9cf2ba57b9245e21d8bd908ffdbea32ed3d7cd Mon Sep 17 00:00:00 2001 From: Kevin B Kenny Date: Thu, 22 Oct 2015 14:07:01 +0000 Subject: fix typo in micro-optimization TclpInitThreadAlloc --- win/tclWinThrd.c | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/win/tclWinThrd.c b/win/tclWinThrd.c index fac8ab3..a2fc226 100644 --- a/win/tclWinThrd.c +++ b/win/tclWinThrd.c @@ -971,7 +971,7 @@ TclpFreeAllocMutex( } void -TclInitThreadAlloc(void) +TclpInitThreadAlloc(void) { /* * We need to make sure that TclpFreeAllocCache is called on each -- cgit v0.12 From f6c021c559b57cc973581cb328496b13e5f3c952 Mon Sep 17 00:00:00 2001 From: dkf Date: Fri, 23 Oct 2015 21:52:10 +0000 Subject: Knock perhaps 1% off execution time: guard on TclAsyncReady more efficient when decrementing to zero. --- generic/tclExecute.c | 20 +++++++++++--------- 1 file changed, 11 insertions(+), 9 deletions(-) diff --git a/generic/tclExecute.c b/generic/tclExecute.c index b10af65..f6dfc46 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -34,14 +34,14 @@ #endif /* - * A mask (should be 2**n-1) that is used to work out when the bytecode engine - * should call Tcl_AsyncReady() to see whether there is a signal that needs - * handling. + * A counter that is used to work out when the bytecode engine should call + * Tcl_AsyncReady() to see whether there is a signal that needs handling, and + * other expensive periodic operations. */ -#ifndef ASYNC_CHECK_COUNT_MASK -# define ASYNC_CHECK_COUNT_MASK 63 -#endif /* !ASYNC_CHECK_COUNT_MASK */ +#ifndef ASYNC_CHECK_COUNT +# define ASYNC_CHECK_COUNT 64 +#endif /* !ASYNC_CHECK_COUNT */ /* * Boolean flag indicating whether the Tcl bytecode interpreter has been @@ -2116,7 +2116,8 @@ TEBCresume( * sporadically: no special need for speed. */ - int instructionCount = 0; /* Counter that is used to work out when to + int instructionCount = ASYNC_CHECK_COUNT; + /* Counter that is used to work out when to * call Tcl_AsyncReady() */ const char *curInstName; #ifdef TCL_COMPILE_DEBUG @@ -2315,10 +2316,11 @@ TEBCresume( /* * Check for asynchronous handlers [Bug 746722]; we do the check every - * ASYNC_CHECK_COUNT_MASK instruction, of the form (2**n-1). + * ASYNC_CHECK_COUNT instructions. */ - if ((instructionCount++ & ASYNC_CHECK_COUNT_MASK) == 0) { + if (!(--instructionCount)) { + instructionCount = ASYNC_CHECK_COUNT; DECACHE_STACK_INFO(); if (TclAsyncReady(iPtr)) { result = Tcl_AsyncInvoke(interp, result); -- cgit v0.12 From 03dd6c13603af9d6792030412f52d942fc2eaefd Mon Sep 17 00:00:00 2001 From: gahr Date: Wed, 17 Feb 2016 11:03:48 +0000 Subject: [5f71353740] Support the "weekdays" unit in [clock add] --- doc/clock.n | 13 ++++++------- library/clock.tcl | 56 +++++++++++++++++++++++++++++++++++++++++++++++++++---- tests/clock.test | 37 ++++++++++++++++++++++++++++++++++++ 3 files changed, 95 insertions(+), 11 deletions(-) diff --git a/doc/clock.n b/doc/clock.n index 889a5da..53db33e 100644 --- a/doc/clock.n +++ b/doc/clock.n @@ -89,10 +89,9 @@ have 59 or 61 seconds. .TP \fIunit\fR One of the words, \fBseconds\fR, \fBminutes\fR, \fBhours\fR, -\fBdays\fR, \fBweeks\fR, \fBmonths\fR, or \fByears\fR, or -any unique prefix of such a word. Used in conjunction with \fIcount\fR -to identify an interval of time, for example, \fI3 seconds\fR or -\fI1 year\fR. +\fBdays\fR, \fBweekdays\fR, \fBweeks\fR, \fBmonths\fR, or \fByears\fR. +Used in conjunction with \fIcount\fR to identify an interval of time, +for example, \fI3 seconds\fR or \fI1 year\fR. .SS "OPTIONS" .TP \fB\-base\fR time @@ -175,8 +174,7 @@ given as its first argument. The remaining arguments (other than the possible \fB\-timezone\fR, \fB\-locale\fR and \fB\-gmt\fR options) are integers and keywords in alternation, where the keywords are chosen from \fBseconds\fR, \fBminutes\fR, \fBhours\fR, -\fBdays\fR, \fBweeks\fR, \fBmonths\fR, or \fByears\fR, or -any unique prefix of such a word. +\fBdays\fR, \fBweekdays\fR, \fBweeks\fR, \fBmonths\fR, or \fByears\fR. .PP Addition of seconds, minutes and hours is fairly straightforward; the given time increment (times sixty for minutes, or 3600 for hours) @@ -213,7 +211,8 @@ the given time to a calendar day and time of day in the appropriate time zone and locale. The requisite number of days (weeks are converted to days by multiplying by seven) is added to the calendar day, and the date and time are then converted back to a count of seconds from -the epoch time. +the epoch time. The \fBweekdays\fR keyword is similar to \fBdays\fR, +with the only difference that weekends are skipped. .PP Adding and subtracting a given number of days across the point that the time changes at the start or end of summer time (Daylight Saving Time) diff --git a/library/clock.tcl b/library/clock.tcl index 8e4b657..231f1ae 100755 --- a/library/clock.tcl +++ b/library/clock.tcl @@ -4248,7 +4248,7 @@ proc ::tcl::clock::add { clockval args } { ?-gmt boolean? ?-locale LOCALE? ?-timezone ZONE?\"" } if { [catch { expr {wide($clockval)} } result] } { - return -code error $result + return -code error "expected integer but got \"$clockval\"" } set offsets {} @@ -4287,9 +4287,6 @@ proc ::tcl::clock::add { clockval args } { -errorcode [list CLOCK gmtWithTimezone] \ "cannot use -gmt and -timezone in same call" } - if { [catch { expr { wide($clockval) } } result] } { - return -code error "expected integer but got \"$clockval\"" - } if { ![string is boolean -strict $gmt] } { return -code error "expected boolean value but got \"$gmt\"" } elseif { $gmt } { @@ -4326,6 +4323,11 @@ proc ::tcl::clock::add { clockval args } { $changeover] } + weekdays - weekday { + set clockval [AddWeekDays $quantity $clockval $timezone \ + $changeover] + } + hours - hour { set clockval [expr { 3600 * $quantity + $clockval }] } @@ -4425,6 +4427,52 @@ proc ::tcl::clock::AddMonths { months clockval timezone changeover } { #---------------------------------------------------------------------- # +# AddWeekDays -- +# +# Add a given number of week days (skipping Saturdays and Sundays) +# to a given clock value in a given time zone. +# +# Parameters: +# days - Number of days to add (may be negative) +# clockval - Seconds since the epoch before the operation +# timezone - Time zone in which the operation is to be performed +# changeover - Julian Day on which the Gregorian calendar was adopted +# in the target locale. +# +# Results: +# Returns the new clock value as a number of seconds since the epoch. +# +# Side effects: +# None. +# +#---------------------------------------------------------------------- + +proc ::tcl::clock::AddWeekDays { days clockval timezone changeover } { + + set day [format $clockval -format %u] + + set weeks [expr {$days / 5}] + set rdays [expr {$days % 5}] + set toAdd [expr {7 * $weeks + $rdays}] + set resDay [expr {$day + ($toAdd % 7)}] + + # Adjust if we start from a weekend + if {$day > 5} { + set adj [expr {5 - $day}] + incr toAdd $adj + incr resDay $adj + } + + # Adjust if we end up on a weekend + if {$resDay > 5} { + incr toAdd 2 + } + + AddDays $toAdd $clockval $timezone $changeover +} + +#---------------------------------------------------------------------- +# # AddDays -- # # Add a given number of days to a given clock value in a given time diff --git a/tests/clock.test b/tests/clock.test index 615f3a8..fc7992d 100644 --- a/tests/clock.test +++ b/tests/clock.test @@ -34992,6 +34992,10 @@ test clock-29.1800 {time parsing} { } 86399 # END testcases29 + +# BEGIN testcases30 + +# Test [clock add] test clock-30.1 {clock add years} { set t [clock scan 2000-01-01 -format %Y-%m-%d -timezone :UTC] set f [clock add $t 1 year -timezone :UTC] @@ -35218,6 +35222,39 @@ test clock-30.25 {clock add seconds at DST conversion} { set x1 [clock format $f1 -format {%Y-%m-%d %H:%M:%S %z} \ -timezone EST05:00EDT04:00,M4.1.0/02:00,M10.5.0/02:00] } {2004-10-31 01:00:00 -0500} +test clock-30.26 {clock add weekdays} { + set t [clock scan {2013-11-20}] ;# Wednesday + set f1 [clock add $t 3 weekdays] + set x1 [clock format $f1 -format {%Y-%m-%d}] +} {2013-11-25} +test clock-30.27 {clock add weekdays starting on Saturday} { + set t [clock scan {2013-11-23}] ;# Saturday + set f1 [clock add $t 1 weekday] + set x1 [clock format $f1 -format {%Y-%m-%d}] +} {2013-11-25} +test clock-30.28 {clock add weekdays starting on Sunday} { + set t [clock scan {2013-11-24}] ;# Sunday + set f1 [clock add $t 1 weekday] + set x1 [clock format $f1 -format {%Y-%m-%d}] +} {2013-11-25} +test clock-30.29 {clock add weekdays systematic} -body { + set n [clock seconds] + set d [clock format $n -format %u] + for {set i 1} {$i < 100} {incr i} { + set res_no [clock format [clock add $n $i weekdays] -format %u] + set exp_mod [expr {($d+$i)%5}] + if {$exp_mod == 0} { + set exp_mod 5 + } + if {$res_no != $exp_mod} { + return "Got $res_no adding $i to $n, expected: $exp_mod" + } + } + return "OK" +} -result {OK} + +# END testcases30 + test clock-31.1 {system locale} \ -constraints win \ -- cgit v0.12 From e644c2cde0ad8530628e57c4dba5797fc5ff3b85 Mon Sep 17 00:00:00 2001 From: gahr Date: Tue, 23 Feb 2016 16:31:18 +0000 Subject: Make sure that adding 0 weekdays doesn't result in going back in time --- library/clock.tcl | 4 ++++ tests/clock.test | 7 ++++++- 2 files changed, 10 insertions(+), 1 deletion(-) diff --git a/library/clock.tcl b/library/clock.tcl index 231f1ae..535a67d 100755 --- a/library/clock.tcl +++ b/library/clock.tcl @@ -4449,6 +4449,10 @@ proc ::tcl::clock::AddMonths { months clockval timezone changeover } { proc ::tcl::clock::AddWeekDays { days clockval timezone changeover } { + if {$days == 0} { + return $clockval + } + set day [format $clockval -format %u] set weeks [expr {$days / 5}] diff --git a/tests/clock.test b/tests/clock.test index fc7992d..0b26213 100644 --- a/tests/clock.test +++ b/tests/clock.test @@ -35237,7 +35237,12 @@ test clock-30.28 {clock add weekdays starting on Sunday} { set f1 [clock add $t 1 weekday] set x1 [clock format $f1 -format {%Y-%m-%d}] } {2013-11-25} -test clock-30.29 {clock add weekdays systematic} -body { +test clock-30.29 {clock add 0 weekdays starting on a weekend} { + set t [clock scan {2016-02-27}] ;# Saturday + set f1 [clock add $t 0 weekdays] + set x1 [clock format $f1 -format {%Y-%m-%d}] +} {2016-02-27} +test clock-30.30 {clock add weekdays systematic} -body { set n [clock seconds] set d [clock format $n -format %u] for {set i 1} {$i < 100} {incr i} { -- cgit v0.12 From 369046f0c01b3e138f4f9b8c4bd74f1ca9c89111 Mon Sep 17 00:00:00 2001 From: gahr Date: Wed, 24 Feb 2016 09:10:01 +0000 Subject: More comprehensive tests adding and subtracting week-days --- tests/clock.test | 33 +++++++++++++++++++++++---------- 1 file changed, 23 insertions(+), 10 deletions(-) diff --git a/tests/clock.test b/tests/clock.test index 0b26213..42285a8 100644 --- a/tests/clock.test +++ b/tests/clock.test @@ -35242,17 +35242,30 @@ test clock-30.29 {clock add 0 weekdays starting on a weekend} { set f1 [clock add $t 0 weekdays] set x1 [clock format $f1 -format {%Y-%m-%d}] } {2016-02-27} -test clock-30.30 {clock add weekdays systematic} -body { +test clock-30.30 {clock add weekdays and back} -body { set n [clock seconds] - set d [clock format $n -format %u] - for {set i 1} {$i < 100} {incr i} { - set res_no [clock format [clock add $n $i weekdays] -format %u] - set exp_mod [expr {($d+$i)%5}] - if {$exp_mod == 0} { - set exp_mod 5 - } - if {$res_no != $exp_mod} { - return "Got $res_no adding $i to $n, expected: $exp_mod" + # we start on each day of the week + for {set i 0} {$i < 7} {incr i} { + set start [clock add $n $i days] + set startu [clock format $start -format %u] + # add 0 - 100 weekdays + for {set j 0} {$j < 100} {incr j} { + set forth [clock add $start $j weekdays] + set back [clock add $forth -$j weekdays] + # If $s was a weekday or $j was 0, $b must be the same day. + # Otherwise, $b must be the immediately preceeding Friday + set fail 0 + if {$j == 0 || $startu < 6} { + if {$start != $back} { set fail 1} + } else { + set friday [clock add $start -[expr {$startu % 5}] days] + if {$friday != $back} { set fail 1 } + } + if {$fail} { + set sdate [clock format $start -format {%Y-%m-%d}] + set bdate [clock format $back -format {%Y-%m-%d}] + return "$sdate + $j - $j := $bdate" + } } } return "OK" -- cgit v0.12 From 46cb341dbc07abb1df54318ad9d55c41a5a68668 Mon Sep 17 00:00:00 2001 From: gahr Date: Thu, 3 Mar 2016 08:30:56 +0000 Subject: Clarify that weekends are intended as Saturdays and Sundays --- doc/clock.n | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/doc/clock.n b/doc/clock.n index 53db33e..ac50e36 100644 --- a/doc/clock.n +++ b/doc/clock.n @@ -212,7 +212,7 @@ time zone and locale. The requisite number of days (weeks are converted to days by multiplying by seven) is added to the calendar day, and the date and time are then converted back to a count of seconds from the epoch time. The \fBweekdays\fR keyword is similar to \fBdays\fR, -with the only difference that weekends are skipped. +with the only difference that weekends - Saturdays and Sundays - are skipped. .PP Adding and subtracting a given number of days across the point that the time changes at the start or end of summer time (Daylight Saving Time) -- cgit v0.12 From 14ed75f370cd191162041f91fa4905e7ff6b4944 Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 3 Mar 2016 19:45:52 +0000 Subject: Bump trunk to 8.7a0 to accept new feature development. --- README | 8 +- generic/tcl.h | 10 +- library/init.tcl | 2 +- macosx/Tcl-Common.xcconfig | 2 +- tools/tcl.hpj.in | 4 +- unix/configure | 20469 +++++++++++++------------------------------ unix/configure.in | 10 +- unix/tcl.spec | 2 +- win/README | 8 +- win/configure | 6489 +++++++------- win/configure.in | 8 +- win/makefile.bc | 4 +- win/tcl.m4 | 8 +- 13 files changed, 9292 insertions(+), 17732 deletions(-) diff --git a/README b/README index f3e50dd..aab0db5 100644 --- a/README +++ b/README @@ -1,5 +1,5 @@ README: Tcl - This is the Tcl 8.6.5 source distribution. + This is the Tcl 8.7a0 source distribution. http://sourceforge.net/projects/tcl/files/Tcl/ You can get any source release of Tcl from the URL above. @@ -49,7 +49,7 @@ and selling it either in whole or in part. See the file Extensive documentation is available at our website. The home page for this release, including new features, is - http://www.tcl.tk/software/tcltk/8.6.html + http://www.tcl.tk/software/tcltk/8.7.html Detailed release notes can be found at the file distributions page by clicking on the relevant version. @@ -61,9 +61,9 @@ Information about Tcl itself can be found at There have been many Tcl books on the market. Many are mentioned in the Wiki: http://wiki.tcl.tk/_/ref?N=25206 -To view the complete set of reference manual entries for Tcl 8.6 online, +To view the complete set of reference manual entries for Tcl 8.7 online, visit the URL: - http://www.tcl.tk/man/tcl8.6/ + http://www.tcl.tk/man/tcl8.7/ 2a. Unix Documentation ---------------------- diff --git a/generic/tcl.h b/generic/tcl.h index 3490049..905a51d 100644 --- a/generic/tcl.h +++ b/generic/tcl.h @@ -54,12 +54,12 @@ extern "C" { */ #define TCL_MAJOR_VERSION 8 -#define TCL_MINOR_VERSION 6 -#define TCL_RELEASE_LEVEL TCL_FINAL_RELEASE -#define TCL_RELEASE_SERIAL 5 +#define TCL_MINOR_VERSION 7 +#define TCL_RELEASE_LEVEL TCL_ALPHA_RELEASE +#define TCL_RELEASE_SERIAL 0 -#define TCL_VERSION "8.6" -#define TCL_PATCH_LEVEL "8.6.5" +#define TCL_VERSION "8.7" +#define TCL_PATCH_LEVEL "8.7a0" /* *---------------------------------------------------------------------------- diff --git a/library/init.tcl b/library/init.tcl index 9fd2170..544ea77 100644 --- a/library/init.tcl +++ b/library/init.tcl @@ -16,7 +16,7 @@ if {[info commands package] == ""} { error "version mismatch: library\nscripts expect Tcl version 7.5b1 or later but the loaded version is\nonly [info patchlevel]" } -package require -exact Tcl 8.6.5 +package require -exact Tcl 8.7a0 # Compute the auto path to use in this interpreter. # The values on the path come from several locations: diff --git a/macosx/Tcl-Common.xcconfig b/macosx/Tcl-Common.xcconfig index 9c47547..f1ecee6 100644 --- a/macosx/Tcl-Common.xcconfig +++ b/macosx/Tcl-Common.xcconfig @@ -34,4 +34,4 @@ TCL_CONFIGURE_ARGS = --enable-threads --enable-dtrace TCL_LIBRARY = $(LIBDIR)/tcl$(VERSION) TCL_PACKAGE_PATH = "$(LIBDIR)" TCL_DEFS = HAVE_TCL_CONFIG_H -VERSION = 8.6 +VERSION = 8.7 diff --git a/tools/tcl.hpj.in b/tools/tcl.hpj.in index a94cea6..08d411d 100644 --- a/tools/tcl.hpj.in +++ b/tools/tcl.hpj.in @@ -5,9 +5,9 @@ HCW=0 LCID=0x409 0x0 0x0 ;English (United States) REPORT=Yes TITLE=Tcl/Tk Reference Manual -CNT=tcl86.cnt +CNT=tcl87.cnt COPYRIGHT=Copyright © 2000 Ajuba Solutions -HLP=tcl86.hlp +HLP=tcl87.hlp [FILES] tcl.rtf diff --git a/unix/configure b/unix/configure index 2e774f7..3f9aa13 100755 --- a/unix/configure +++ b/unix/configure @@ -1,81 +1,459 @@ #! /bin/sh # Guess values for system-dependent variables and create Makefiles. -# Generated by GNU Autoconf 2.59 for tcl 8.6. +# Generated by GNU Autoconf 2.69 for tcl 8.7. +# +# +# Copyright (C) 1992-1996, 1998-2012 Free Software Foundation, Inc. +# # -# Copyright (C) 2003 Free Software Foundation, Inc. # This configure script is free software; the Free Software Foundation # gives unlimited permission to copy, distribute and modify it. -## --------------------- ## -## M4sh Initialization. ## -## --------------------- ## +## -------------------- ## +## M4sh Initialization. ## +## -------------------- ## -# Be Bourne compatible -if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then +# Be more Bourne compatible +DUALCASE=1; export DUALCASE # for MKS sh +if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then : emulate sh NULLCMD=: - # Zsh 3.x and 4.x performs word splitting on ${1+"$@"}, which + # Pre-4.2 versions of Zsh do word splitting on ${1+"$@"}, which # is contrary to our usage. Disable this feature. alias -g '${1+"$@"}'='"$@"' -elif test -n "${BASH_VERSION+set}" && (set -o posix) >/dev/null 2>&1; then - set -o posix + setopt NO_GLOB_SUBST +else + case `(set -o) 2>/dev/null` in #( + *posix*) : + set -o posix ;; #( + *) : + ;; +esac fi -DUALCASE=1; export DUALCASE # for MKS sh -# Support unset when possible. -if ( (MAIL=60; unset MAIL) || exit) >/dev/null 2>&1; then - as_unset=unset -else - as_unset=false + +as_nl=' +' +export as_nl +# Printing a long string crashes Solaris 7 /usr/bin/printf. +as_echo='\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\' +as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo +as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo$as_echo +# Prefer a ksh shell builtin over an external printf program on Solaris, +# but without wasting forks for bash or zsh. +if test -z "$BASH_VERSION$ZSH_VERSION" \ + && (test "X`print -r -- $as_echo`" = "X$as_echo") 2>/dev/null; then + as_echo='print -r --' + as_echo_n='print -rn --' +elif (test "X`printf %s $as_echo`" = "X$as_echo") 2>/dev/null; then + as_echo='printf %s\n' + as_echo_n='printf %s' +else + if test "X`(/usr/ucb/echo -n -n $as_echo) 2>/dev/null`" = "X-n $as_echo"; then + as_echo_body='eval /usr/ucb/echo -n "$1$as_nl"' + as_echo_n='/usr/ucb/echo -n' + else + as_echo_body='eval expr "X$1" : "X\\(.*\\)"' + as_echo_n_body='eval + arg=$1; + case $arg in #( + *"$as_nl"*) + expr "X$arg" : "X\\(.*\\)$as_nl"; + arg=`expr "X$arg" : ".*$as_nl\\(.*\\)"`;; + esac; + expr "X$arg" : "X\\(.*\\)" | tr -d "$as_nl" + ' + export as_echo_n_body + as_echo_n='sh -c $as_echo_n_body as_echo' + fi + export as_echo_body + as_echo='sh -c $as_echo_body as_echo' fi +# The user is always right. +if test "${PATH_SEPARATOR+set}" != set; then + PATH_SEPARATOR=: + (PATH='/bin;/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 && { + (PATH='/bin:/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 || + PATH_SEPARATOR=';' + } +fi + + +# IFS +# We need space, tab and new line, in precisely that order. Quoting is +# there to prevent editors from complaining about space-tab. +# (If _AS_PATH_WALK were called with IFS unset, it would disable word +# splitting by setting IFS to empty value.) +IFS=" "" $as_nl" + +# Find who we are. Look in the path if we contain no directory separator. +as_myself= +case $0 in #(( + *[\\/]* ) as_myself=$0 ;; + *) as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + test -r "$as_dir/$0" && as_myself=$as_dir/$0 && break + done +IFS=$as_save_IFS -# Work around bugs in pre-3.0 UWIN ksh. -$as_unset ENV MAIL MAILPATH + ;; +esac +# We did not find ourselves, most probably we were run as `sh COMMAND' +# in which case we are not to be found in the path. +if test "x$as_myself" = x; then + as_myself=$0 +fi +if test ! -f "$as_myself"; then + $as_echo "$as_myself: error: cannot find myself; rerun with an absolute file name" >&2 + exit 1 +fi + +# Unset variables that we do not need and which cause bugs (e.g. in +# pre-3.0 UWIN ksh). But do not cause bugs in bash 2.01; the "|| exit 1" +# suppresses any "Segmentation fault" message there. '((' could +# trigger a bug in pdksh 5.2.14. +for as_var in BASH_ENV ENV MAIL MAILPATH +do eval test x\${$as_var+set} = xset \ + && ( (unset $as_var) || exit 1) >/dev/null 2>&1 && unset $as_var || : +done PS1='$ ' PS2='> ' PS4='+ ' # NLS nuisances. -for as_var in \ - LANG LANGUAGE LC_ADDRESS LC_ALL LC_COLLATE LC_CTYPE LC_IDENTIFICATION \ - LC_MEASUREMENT LC_MESSAGES LC_MONETARY LC_NAME LC_NUMERIC LC_PAPER \ - LC_TELEPHONE LC_TIME +LC_ALL=C +export LC_ALL +LANGUAGE=C +export LANGUAGE + +# CDPATH. +(unset CDPATH) >/dev/null 2>&1 && unset CDPATH + +# Use a proper internal environment variable to ensure we don't fall + # into an infinite loop, continuously re-executing ourselves. + if test x"${_as_can_reexec}" != xno && test "x$CONFIG_SHELL" != x; then + _as_can_reexec=no; export _as_can_reexec; + # We cannot yet assume a decent shell, so we have to provide a +# neutralization value for shells without unset; and this also +# works around shells that cannot unset nonexistent variables. +# Preserve -v and -x to the replacement shell. +BASH_ENV=/dev/null +ENV=/dev/null +(unset BASH_ENV) >/dev/null 2>&1 && unset BASH_ENV ENV +case $- in # (((( + *v*x* | *x*v* ) as_opts=-vx ;; + *v* ) as_opts=-v ;; + *x* ) as_opts=-x ;; + * ) as_opts= ;; +esac +exec $CONFIG_SHELL $as_opts "$as_myself" ${1+"$@"} +# Admittedly, this is quite paranoid, since all the known shells bail +# out after a failed `exec'. +$as_echo "$0: could not re-execute with $CONFIG_SHELL" >&2 +as_fn_exit 255 + fi + # We don't want this to propagate to other subprocesses. + { _as_can_reexec=; unset _as_can_reexec;} +if test "x$CONFIG_SHELL" = x; then + as_bourne_compatible="if test -n \"\${ZSH_VERSION+set}\" && (emulate sh) >/dev/null 2>&1; then : + emulate sh + NULLCMD=: + # Pre-4.2 versions of Zsh do word splitting on \${1+\"\$@\"}, which + # is contrary to our usage. Disable this feature. + alias -g '\${1+\"\$@\"}'='\"\$@\"' + setopt NO_GLOB_SUBST +else + case \`(set -o) 2>/dev/null\` in #( + *posix*) : + set -o posix ;; #( + *) : + ;; +esac +fi +" + as_required="as_fn_return () { (exit \$1); } +as_fn_success () { as_fn_return 0; } +as_fn_failure () { as_fn_return 1; } +as_fn_ret_success () { return 0; } +as_fn_ret_failure () { return 1; } + +exitcode=0 +as_fn_success || { exitcode=1; echo as_fn_success failed.; } +as_fn_failure && { exitcode=1; echo as_fn_failure succeeded.; } +as_fn_ret_success || { exitcode=1; echo as_fn_ret_success failed.; } +as_fn_ret_failure && { exitcode=1; echo as_fn_ret_failure succeeded.; } +if ( set x; as_fn_ret_success y && test x = \"\$1\" ); then : + +else + exitcode=1; echo positional parameters were not saved. +fi +test x\$exitcode = x0 || exit 1 +test -x / || exit 1" + as_suggested=" as_lineno_1=";as_suggested=$as_suggested$LINENO;as_suggested=$as_suggested" as_lineno_1a=\$LINENO + as_lineno_2=";as_suggested=$as_suggested$LINENO;as_suggested=$as_suggested" as_lineno_2a=\$LINENO + eval 'test \"x\$as_lineno_1'\$as_run'\" != \"x\$as_lineno_2'\$as_run'\" && + test \"x\`expr \$as_lineno_1'\$as_run' + 1\`\" = \"x\$as_lineno_2'\$as_run'\"' || exit 1 +test \$(( 1 + 1 )) = 2 || exit 1" + if (eval "$as_required") 2>/dev/null; then : + as_have_required=yes +else + as_have_required=no +fi + if test x$as_have_required = xyes && (eval "$as_suggested") 2>/dev/null; then : + +else + as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +as_found=false +for as_dir in /bin$PATH_SEPARATOR/usr/bin$PATH_SEPARATOR$PATH do - if (set +x; test -z "`(eval $as_var=C; export $as_var) 2>&1`"); then - eval $as_var=C; export $as_var + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + as_found=: + case $as_dir in #( + /*) + for as_base in sh bash ksh sh5; do + # Try only shells that exist, to save several forks. + as_shell=$as_dir/$as_base + if { test -f "$as_shell" || test -f "$as_shell.exe"; } && + { $as_echo "$as_bourne_compatible""$as_required" | as_run=a "$as_shell"; } 2>/dev/null; then : + CONFIG_SHELL=$as_shell as_have_required=yes + if { $as_echo "$as_bourne_compatible""$as_suggested" | as_run=a "$as_shell"; } 2>/dev/null; then : + break 2 +fi +fi + done;; + esac + as_found=false +done +$as_found || { if { test -f "$SHELL" || test -f "$SHELL.exe"; } && + { $as_echo "$as_bourne_compatible""$as_required" | as_run=a "$SHELL"; } 2>/dev/null; then : + CONFIG_SHELL=$SHELL as_have_required=yes +fi; } +IFS=$as_save_IFS + + + if test "x$CONFIG_SHELL" != x; then : + export CONFIG_SHELL + # We cannot yet assume a decent shell, so we have to provide a +# neutralization value for shells without unset; and this also +# works around shells that cannot unset nonexistent variables. +# Preserve -v and -x to the replacement shell. +BASH_ENV=/dev/null +ENV=/dev/null +(unset BASH_ENV) >/dev/null 2>&1 && unset BASH_ENV ENV +case $- in # (((( + *v*x* | *x*v* ) as_opts=-vx ;; + *v* ) as_opts=-v ;; + *x* ) as_opts=-x ;; + * ) as_opts= ;; +esac +exec $CONFIG_SHELL $as_opts "$as_myself" ${1+"$@"} +# Admittedly, this is quite paranoid, since all the known shells bail +# out after a failed `exec'. +$as_echo "$0: could not re-execute with $CONFIG_SHELL" >&2 +exit 255 +fi + + if test x$as_have_required = xno; then : + $as_echo "$0: This script requires a shell more modern than all" + $as_echo "$0: the shells that I found on your system." + if test x${ZSH_VERSION+set} = xset ; then + $as_echo "$0: In particular, zsh $ZSH_VERSION has bugs and should" + $as_echo "$0: be upgraded to zsh 4.3.4 or later." else - $as_unset $as_var + $as_echo "$0: Please tell bug-autoconf@gnu.org about your system, +$0: including any error possibly output before this +$0: message. Then install a modern shell, or manually run +$0: the script under such a shell if you do have one." fi -done + exit 1 +fi +fi +fi +SHELL=${CONFIG_SHELL-/bin/sh} +export SHELL +# Unset more variables known to interfere with behavior of common tools. +CLICOLOR_FORCE= GREP_OPTIONS= +unset CLICOLOR_FORCE GREP_OPTIONS + +## --------------------- ## +## M4sh Shell Functions. ## +## --------------------- ## +# as_fn_unset VAR +# --------------- +# Portably unset VAR. +as_fn_unset () +{ + { eval $1=; unset $1;} +} +as_unset=as_fn_unset + +# as_fn_set_status STATUS +# ----------------------- +# Set $? to STATUS, without forking. +as_fn_set_status () +{ + return $1 +} # as_fn_set_status + +# as_fn_exit STATUS +# ----------------- +# Exit the shell with STATUS, even in a "trap 0" or "set -e" context. +as_fn_exit () +{ + set +e + as_fn_set_status $1 + exit $1 +} # as_fn_exit + +# as_fn_mkdir_p +# ------------- +# Create "$as_dir" as a directory, including parents if necessary. +as_fn_mkdir_p () +{ + + case $as_dir in #( + -*) as_dir=./$as_dir;; + esac + test -d "$as_dir" || eval $as_mkdir_p || { + as_dirs= + while :; do + case $as_dir in #( + *\'*) as_qdir=`$as_echo "$as_dir" | sed "s/'/'\\\\\\\\''/g"`;; #'( + *) as_qdir=$as_dir;; + esac + as_dirs="'$as_qdir' $as_dirs" + as_dir=`$as_dirname -- "$as_dir" || +$as_expr X"$as_dir" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \ + X"$as_dir" : 'X\(//\)[^/]' \| \ + X"$as_dir" : 'X\(//\)$' \| \ + X"$as_dir" : 'X\(/\)' \| . 2>/dev/null || +$as_echo X"$as_dir" | + sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{ + s//\1/ + q + } + /^X\(\/\/\)[^/].*/{ + s//\1/ + q + } + /^X\(\/\/\)$/{ + s//\1/ + q + } + /^X\(\/\).*/{ + s//\1/ + q + } + s/.*/./; q'` + test -d "$as_dir" && break + done + test -z "$as_dirs" || eval "mkdir $as_dirs" + } || test -d "$as_dir" || as_fn_error $? "cannot create directory $as_dir" + + +} # as_fn_mkdir_p + +# as_fn_executable_p FILE +# ----------------------- +# Test if FILE is an executable regular file. +as_fn_executable_p () +{ + test -f "$1" && test -x "$1" +} # as_fn_executable_p +# as_fn_append VAR VALUE +# ---------------------- +# Append the text in VALUE to the end of the definition contained in VAR. Take +# advantage of any shell optimizations that allow amortized linear growth over +# repeated appends, instead of the typical quadratic growth present in naive +# implementations. +if (eval "as_var=1; as_var+=2; test x\$as_var = x12") 2>/dev/null; then : + eval 'as_fn_append () + { + eval $1+=\$2 + }' +else + as_fn_append () + { + eval $1=\$$1\$2 + } +fi # as_fn_append + +# as_fn_arith ARG... +# ------------------ +# Perform arithmetic evaluation on the ARGs, and store the result in the +# global $as_val. Take advantage of shells that can avoid forks. The arguments +# must be portable across $(()) and expr. +if (eval "test \$(( 1 + 1 )) = 2") 2>/dev/null; then : + eval 'as_fn_arith () + { + as_val=$(( $* )) + }' +else + as_fn_arith () + { + as_val=`expr "$@" || test $? -eq 1` + } +fi # as_fn_arith + + +# as_fn_error STATUS ERROR [LINENO LOG_FD] +# ---------------------------------------- +# Output "`basename $0`: error: ERROR" to stderr. If LINENO and LOG_FD are +# provided, also output the error to LOG_FD, referencing LINENO. Then exit the +# script with STATUS, using 1 if that was 0. +as_fn_error () +{ + as_status=$1; test $as_status -eq 0 && as_status=1 + if test "$4"; then + as_lineno=${as_lineno-"$3"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + $as_echo "$as_me:${as_lineno-$LINENO}: error: $2" >&$4 + fi + $as_echo "$as_me: error: $2" >&2 + as_fn_exit $as_status +} # as_fn_error -# Required to use basename. -if expr a : '\(a\)' >/dev/null 2>&1; then +if expr a : '\(a\)' >/dev/null 2>&1 && + test "X`expr 00001 : '.*\(...\)'`" = X001; then as_expr=expr else as_expr=false fi -if (basename /) >/dev/null 2>&1 && test "X`basename / 2>&1`" = "X/"; then +if (basename -- /) >/dev/null 2>&1 && test "X`basename -- / 2>&1`" = "X/"; then as_basename=basename else as_basename=false fi +if (as_dir=`dirname -- /` && test "X$as_dir" = X/) >/dev/null 2>&1; then + as_dirname=dirname +else + as_dirname=false +fi -# Name of the executable. -as_me=`$as_basename "$0" || +as_me=`$as_basename -- "$0" || $as_expr X/"$0" : '.*/\([^/][^/]*\)/*$' \| \ X"$0" : 'X\(//\)$' \| \ - X"$0" : 'X\(/\)$' \| \ - . : '\(.\)' 2>/dev/null || -echo X/"$0" | - sed '/^.*\/\([^/][^/]*\)\/*$/{ s//\1/; q; } - /^X\/\(\/\/\)$/{ s//\1/; q; } - /^X\/\(\/\).*/{ s//\1/; q; } - s/.*/./; q'` - + X"$0" : 'X\(/\)' \| . 2>/dev/null || +$as_echo X/"$0" | + sed '/^.*\/\([^/][^/]*\)\/*$/{ + s//\1/ + q + } + /^X\/\(\/\/\)$/{ + s//\1/ + q + } + /^X\/\(\/\).*/{ + s//\1/ + q + } + s/.*/./; q'` -# PATH needs CR, and LINENO needs CR and PATH. # Avoid depending upon Character Ranges. as_cr_letters='abcdefghijklmnopqrstuvwxyz' as_cr_LETTERS='ABCDEFGHIJKLMNOPQRSTUVWXYZ' @@ -83,146 +461,91 @@ as_cr_Letters=$as_cr_letters$as_cr_LETTERS as_cr_digits='0123456789' as_cr_alnum=$as_cr_Letters$as_cr_digits -# The user is always right. -if test "${PATH_SEPARATOR+set}" != set; then - echo "#! /bin/sh" >conf$$.sh - echo "exit 0" >>conf$$.sh - chmod +x conf$$.sh - if (PATH="/nonexistent;."; conf$$.sh) >/dev/null 2>&1; then - PATH_SEPARATOR=';' - else - PATH_SEPARATOR=: - fi - rm -f conf$$.sh -fi - - - as_lineno_1=$LINENO - as_lineno_2=$LINENO - as_lineno_3=`(expr $as_lineno_1 + 1) 2>/dev/null` - test "x$as_lineno_1" != "x$as_lineno_2" && - test "x$as_lineno_3" = "x$as_lineno_2" || { - # Find who we are. Look in the path if we contain no path at all - # relative or not. - case $0 in - *[\\/]* ) as_myself=$0 ;; - *) as_save_IFS=$IFS; IFS=$PATH_SEPARATOR -for as_dir in $PATH -do - IFS=$as_save_IFS - test -z "$as_dir" && as_dir=. - test -r "$as_dir/$0" && as_myself=$as_dir/$0 && break -done - - ;; - esac - # We did not find ourselves, most probably we were run as `sh COMMAND' - # in which case we are not to be found in the path. - if test "x$as_myself" = x; then - as_myself=$0 - fi - if test ! -f "$as_myself"; then - { echo "$as_me: error: cannot find myself; rerun with an absolute path" >&2 - { (exit 1); exit 1; }; } - fi - case $CONFIG_SHELL in - '') - as_save_IFS=$IFS; IFS=$PATH_SEPARATOR -for as_dir in /bin$PATH_SEPARATOR/usr/bin$PATH_SEPARATOR$PATH -do - IFS=$as_save_IFS - test -z "$as_dir" && as_dir=. - for as_base in sh bash ksh sh5; do - case $as_dir in - /*) - if ("$as_dir/$as_base" -c ' - as_lineno_1=$LINENO - as_lineno_2=$LINENO - as_lineno_3=`(expr $as_lineno_1 + 1) 2>/dev/null` - test "x$as_lineno_1" != "x$as_lineno_2" && - test "x$as_lineno_3" = "x$as_lineno_2" ') 2>/dev/null; then - $as_unset BASH_ENV || test "${BASH_ENV+set}" != set || { BASH_ENV=; export BASH_ENV; } - $as_unset ENV || test "${ENV+set}" != set || { ENV=; export ENV; } - CONFIG_SHELL=$as_dir/$as_base - export CONFIG_SHELL - exec "$CONFIG_SHELL" "$0" ${1+"$@"} - fi;; - esac - done -done -;; - esac - # Create $as_me.lineno as a copy of $as_myself, but with $LINENO - # uniformly replaced by the line number. The first 'sed' inserts a - # line-number line before each line; the second 'sed' does the real - # work. The second script uses 'N' to pair each line-number line - # with the numbered line, and appends trailing '-' during - # substitution so that $LINENO is not a special case at line end. - # (Raja R Harinath suggested sed '=', and Paul Eggert wrote the - # second 'sed' script. Blame Lee E. McMahon for sed's syntax. :-) - sed '=' <$as_myself | + as_lineno_1=$LINENO as_lineno_1a=$LINENO + as_lineno_2=$LINENO as_lineno_2a=$LINENO + eval 'test "x$as_lineno_1'$as_run'" != "x$as_lineno_2'$as_run'" && + test "x`expr $as_lineno_1'$as_run' + 1`" = "x$as_lineno_2'$as_run'"' || { + # Blame Lee E. McMahon (1931-1989) for sed's syntax. :-) + sed -n ' + p + /[$]LINENO/= + ' <$as_myself | sed ' + s/[$]LINENO.*/&-/ + t lineno + b + :lineno N - s,$,-, - : loop - s,^\(['$as_cr_digits']*\)\(.*\)[$]LINENO\([^'$as_cr_alnum'_]\),\1\2\1\3, + :loop + s/[$]LINENO\([^'$as_cr_alnum'_].*\n\)\(.*\)/\2\1\2/ t loop - s,-$,, - s,^['$as_cr_digits']*\n,, + s/-\n.*// ' >$as_me.lineno && - chmod +x $as_me.lineno || - { echo "$as_me: error: cannot create $as_me.lineno; rerun with a POSIX shell" >&2 - { (exit 1); exit 1; }; } + chmod +x "$as_me.lineno" || + { $as_echo "$as_me: error: cannot create $as_me.lineno; rerun with a POSIX shell" >&2; as_fn_exit 1; } + # If we had to re-execute with $CONFIG_SHELL, we're ensured to have + # already done that, so ensure we don't try to do so again and fall + # in an infinite loop. This has already happened in practice. + _as_can_reexec=no; export _as_can_reexec # Don't try to exec as it changes $[0], causing all sort of problems # (the dirname of $[0] is not the place where we might find the - # original and so on. Autoconf is especially sensible to this). - . ./$as_me.lineno + # original and so on. Autoconf is especially sensitive to this). + . "./$as_me.lineno" # Exit status is that of the last command. exit } - -case `echo "testing\c"; echo 1,2,3`,`echo -n testing; echo 1,2,3` in - *c*,-n*) ECHO_N= ECHO_C=' -' ECHO_T=' ' ;; - *c*,* ) ECHO_N=-n ECHO_C= ECHO_T= ;; - *) ECHO_N= ECHO_C='\c' ECHO_T= ;; +ECHO_C= ECHO_N= ECHO_T= +case `echo -n x` in #((((( +-n*) + case `echo 'xy\c'` in + *c*) ECHO_T=' ';; # ECHO_T is single tab character. + xy) ECHO_C='\c';; + *) echo `echo ksh88 bug on AIX 6.1` > /dev/null + ECHO_T=' ';; + esac;; +*) + ECHO_N='-n';; esac -if expr a : '\(a\)' >/dev/null 2>&1; then - as_expr=expr +rm -f conf$$ conf$$.exe conf$$.file +if test -d conf$$.dir; then + rm -f conf$$.dir/conf$$.file else - as_expr=false + rm -f conf$$.dir + mkdir conf$$.dir 2>/dev/null fi - -rm -f conf$$ conf$$.exe conf$$.file -echo >conf$$.file -if ln -s conf$$.file conf$$ 2>/dev/null; then - # We could just check for DJGPP; but this test a) works b) is more generic - # and c) will remain valid once DJGPP supports symlinks (DJGPP 2.04). - if test -f conf$$.exe; then - # Don't use ln at all; we don't have any links - as_ln_s='cp -p' - else +if (echo >conf$$.file) 2>/dev/null; then + if ln -s conf$$.file conf$$ 2>/dev/null; then as_ln_s='ln -s' + # ... but there are two gotchas: + # 1) On MSYS, both `ln -s file dir' and `ln file dir' fail. + # 2) DJGPP < 2.04 has no symlinks; `ln -s' creates a wrapper executable. + # In both cases, we have to default to `cp -pR'. + ln -s conf$$.file conf$$.dir 2>/dev/null && test ! -f conf$$.exe || + as_ln_s='cp -pR' + elif ln conf$$.file conf$$ 2>/dev/null; then + as_ln_s=ln + else + as_ln_s='cp -pR' fi -elif ln conf$$.file conf$$ 2>/dev/null; then - as_ln_s=ln else - as_ln_s='cp -p' + as_ln_s='cp -pR' fi -rm -f conf$$ conf$$.exe conf$$.file +rm -f conf$$ conf$$.exe conf$$.dir/conf$$.file conf$$.file +rmdir conf$$.dir 2>/dev/null if mkdir -p . 2>/dev/null; then - as_mkdir_p=: + as_mkdir_p='mkdir -p "$as_dir"' else test -d ./-p && rmdir ./-p as_mkdir_p=false fi -as_executable_p="test -f" +as_test_x='test -x' +as_executable_p=as_fn_executable_p # Sed expression to map a string onto a valid CPP name. as_tr_cpp="eval sed 'y%*$as_cr_letters%P$as_cr_LETTERS%;s%[^_$as_cr_alnum]%_%g'" @@ -231,89 +554,238 @@ as_tr_cpp="eval sed 'y%*$as_cr_letters%P$as_cr_LETTERS%;s%[^_$as_cr_alnum]%_%g'" as_tr_sh="eval sed 'y%*+%pp%;s%[^_$as_cr_alnum]%_%g'" -# IFS -# We need space, tab and new line, in precisely that order. -as_nl=' -' -IFS=" $as_nl" - -# CDPATH. -$as_unset CDPATH - +test -n "$DJDIR" || exec 7<&0 &1 # Name of the host. -# hostname on some systems (SVR3.2, Linux) returns a bogus exit status, +# hostname on some systems (SVR3.2, old GNU/Linux) returns a bogus exit status, # so uname gets run too. ac_hostname=`(hostname || uname -n) 2>/dev/null | sed 1q` -exec 6>&1 - # # Initializations. # ac_default_prefix=/usr/local +ac_clean_files= ac_config_libobj_dir=. +LIBOBJS= cross_compiling=no subdirs= MFLAGS= MAKEFLAGS= -SHELL=${CONFIG_SHELL-/bin/sh} - -# Maximum number of lines to put in a shell here document. -# This variable seems obsolete. It should probably be removed, and -# only ac_max_sed_lines should be used. -: ${ac_max_here_lines=38} # Identity of this package. PACKAGE_NAME='tcl' PACKAGE_TARNAME='tcl' -PACKAGE_VERSION='8.6' -PACKAGE_STRING='tcl 8.6' +PACKAGE_VERSION='8.7' +PACKAGE_STRING='tcl 8.7' PACKAGE_BUGREPORT='' +PACKAGE_URL='' # Factoring default headers for most tests. ac_includes_default="\ #include -#if HAVE_SYS_TYPES_H +#ifdef HAVE_SYS_TYPES_H # include #endif -#if HAVE_SYS_STAT_H +#ifdef HAVE_SYS_STAT_H # include #endif -#if STDC_HEADERS +#ifdef STDC_HEADERS # include # include #else -# if HAVE_STDLIB_H +# ifdef HAVE_STDLIB_H # include # endif #endif -#if HAVE_STRING_H -# if !STDC_HEADERS && HAVE_MEMORY_H +#ifdef HAVE_STRING_H +# if !defined STDC_HEADERS && defined HAVE_MEMORY_H # include # endif # include #endif -#if HAVE_STRINGS_H +#ifdef HAVE_STRINGS_H # include #endif -#if HAVE_INTTYPES_H +#ifdef HAVE_INTTYPES_H # include -#else -# if HAVE_STDINT_H -# include -# endif #endif -#if HAVE_UNISTD_H +#ifdef HAVE_STDINT_H +# include +#endif +#ifdef HAVE_UNISTD_H # include #endif" -ac_subst_vars='SHELL PATH_SEPARATOR PACKAGE_NAME PACKAGE_TARNAME PACKAGE_VERSION PACKAGE_STRING PACKAGE_BUGREPORT exec_prefix prefix program_transform_name bindir sbindir libexecdir datadir sysconfdir sharedstatedir localstatedir libdir includedir oldincludedir infodir mandir build_alias host_alias target_alias DEFS ECHO_C ECHO_N ECHO_T LIBS MAN_FLAGS CC CFLAGS LDFLAGS CPPFLAGS ac_ct_CC EXEEXT OBJEXT CPP EGREP TCL_THREADS TCLSH_PROG ZLIB_OBJS ZLIB_SRCS ZLIB_INCLUDE RANLIB ac_ct_RANLIB AR ac_ct_AR LIBOBJS TCL_LIBS DL_LIBS DL_OBJS PLAT_OBJS PLAT_SRCS LDAIX_SRC CFLAGS_DEBUG CFLAGS_OPTIMIZE CFLAGS_WARNING LDFLAGS_DEBUG LDFLAGS_OPTIMIZE CC_SEARCH_FLAGS LD_SEARCH_FLAGS STLIB_LD SHLIB_LD TCL_SHLIB_LD_EXTRAS TK_SHLIB_LD_EXTRAS SHLIB_LD_LIBS SHLIB_CFLAGS SHLIB_SUFFIX MAKE_LIB MAKE_STUB_LIB INSTALL_LIB DLL_INSTALL_DIR INSTALL_STUB_LIB CFLAGS_DEFAULT LDFLAGS_DEFAULT DTRACE TCL_VERSION TCL_MAJOR_VERSION TCL_MINOR_VERSION TCL_PATCH_LEVEL TCL_YEAR PKG_CFG_ARGS TCL_LIB_FILE TCL_LIB_FLAG TCL_LIB_SPEC TCL_STUB_LIB_FILE TCL_STUB_LIB_FLAG TCL_STUB_LIB_SPEC TCL_STUB_LIB_PATH TCL_INCLUDE_SPEC TCL_BUILD_STUB_LIB_SPEC TCL_BUILD_STUB_LIB_PATH TCL_SRC_DIR CFG_TCL_SHARED_LIB_SUFFIX CFG_TCL_UNSHARED_LIB_SUFFIX TCL_SHARED_BUILD LD_LIBRARY_PATH_VAR TCL_BUILD_LIB_SPEC TCL_LIB_VERSIONS_OK TCL_SHARED_LIB_SUFFIX TCL_UNSHARED_LIB_SUFFIX TCL_HAS_LONGLONG INSTALL_TZDATA DTRACE_SRC DTRACE_HDR DTRACE_OBJ MAKEFILE_SHELL BUILD_DLTEST TCL_PACKAGE_PATH TCL_MODULE_PATH TCL_LIBRARY PRIVATE_INCLUDE_DIR HTML_DIR PACKAGE_DIR EXTRA_CC_SWITCHES EXTRA_APP_CC_SWITCHES EXTRA_INSTALL EXTRA_INSTALL_BINARIES EXTRA_BUILD_HTML EXTRA_TCLSH_LIBS DLTEST_LD DLTEST_SUFFIX' +ac_subst_vars='DLTEST_SUFFIX +DLTEST_LD +EXTRA_TCLSH_LIBS +EXTRA_BUILD_HTML +EXTRA_INSTALL_BINARIES +EXTRA_INSTALL +EXTRA_APP_CC_SWITCHES +EXTRA_CC_SWITCHES +PACKAGE_DIR +HTML_DIR +PRIVATE_INCLUDE_DIR +TCL_LIBRARY +TCL_MODULE_PATH +TCL_PACKAGE_PATH +BUILD_DLTEST +MAKEFILE_SHELL +DTRACE_OBJ +DTRACE_HDR +DTRACE_SRC +INSTALL_TZDATA +TCL_HAS_LONGLONG +TCL_UNSHARED_LIB_SUFFIX +TCL_SHARED_LIB_SUFFIX +TCL_LIB_VERSIONS_OK +TCL_BUILD_LIB_SPEC +LD_LIBRARY_PATH_VAR +TCL_SHARED_BUILD +CFG_TCL_UNSHARED_LIB_SUFFIX +CFG_TCL_SHARED_LIB_SUFFIX +TCL_SRC_DIR +TCL_BUILD_STUB_LIB_PATH +TCL_BUILD_STUB_LIB_SPEC +TCL_INCLUDE_SPEC +TCL_STUB_LIB_PATH +TCL_STUB_LIB_SPEC +TCL_STUB_LIB_FLAG +TCL_STUB_LIB_FILE +TCL_LIB_SPEC +TCL_LIB_FLAG +TCL_LIB_FILE +PKG_CFG_ARGS +TCL_YEAR +TCL_PATCH_LEVEL +TCL_MINOR_VERSION +TCL_MAJOR_VERSION +TCL_VERSION +DTRACE +LDFLAGS_DEFAULT +CFLAGS_DEFAULT +INSTALL_STUB_LIB +DLL_INSTALL_DIR +INSTALL_LIB +MAKE_STUB_LIB +MAKE_LIB +SHLIB_SUFFIX +SHLIB_CFLAGS +SHLIB_LD_LIBS +TK_SHLIB_LD_EXTRAS +TCL_SHLIB_LD_EXTRAS +SHLIB_LD +STLIB_LD +LD_SEARCH_FLAGS +CC_SEARCH_FLAGS +LDFLAGS_OPTIMIZE +LDFLAGS_DEBUG +CFLAGS_WARNING +CFLAGS_OPTIMIZE +CFLAGS_DEBUG +LDAIX_SRC +PLAT_SRCS +PLAT_OBJS +DL_OBJS +DL_LIBS +TCL_LIBS +LIBOBJS +AR +RANLIB +ZLIB_INCLUDE +ZLIB_SRCS +ZLIB_OBJS +TCLSH_PROG +TCL_THREADS +EGREP +GREP +CPP +OBJEXT +EXEEXT +ac_ct_CC +CPPFLAGS +LDFLAGS +CFLAGS +CC +MAN_FLAGS +target_alias +host_alias +build_alias +LIBS +ECHO_T +ECHO_N +ECHO_C +DEFS +mandir +localedir +libdir +psdir +pdfdir +dvidir +htmldir +infodir +docdir +oldincludedir +includedir +localstatedir +sharedstatedir +sysconfdir +datadir +datarootdir +libexecdir +sbindir +bindir +program_transform_name +prefix +exec_prefix +PACKAGE_URL +PACKAGE_BUGREPORT +PACKAGE_STRING +PACKAGE_VERSION +PACKAGE_TARNAME +PACKAGE_NAME +PATH_SEPARATOR +SHELL' ac_subst_files='' +ac_user_opts=' +enable_option_checking +enable_man_symlinks +enable_man_compression +enable_man_suffix +enable_threads +with_encoding +enable_shared +enable_64bit +enable_64bit_vis +enable_rpath +enable_corefoundation +enable_load +enable_symbols +enable_langinfo +enable_dll_unloading +with_tzdata +enable_dtrace +enable_framework +' + ac_precious_vars='build_alias +host_alias +target_alias +CC +CFLAGS +LDFLAGS +LIBS +CPPFLAGS +CPP' + # Initialize some variables set by options. ac_init_help= ac_init_version=false +ac_unrecognized_opts= +ac_unrecognized_sep= # The variables have the same names as the options, with # dashes changed to underlines. cache_file=/dev/null @@ -336,34 +808,49 @@ x_libraries=NONE # and all the variables that are supposed to be based on exec_prefix # by default will actually change. # Use braces instead of parens because sh, perl, etc. also accept them. +# (The list follows the same order as the GNU Coding Standards.) bindir='${exec_prefix}/bin' sbindir='${exec_prefix}/sbin' libexecdir='${exec_prefix}/libexec' -datadir='${prefix}/share' +datarootdir='${prefix}/share' +datadir='${datarootdir}' sysconfdir='${prefix}/etc' sharedstatedir='${prefix}/com' localstatedir='${prefix}/var' -libdir='${exec_prefix}/lib' includedir='${prefix}/include' oldincludedir='/usr/include' -infodir='${prefix}/info' -mandir='${prefix}/man' +docdir='${datarootdir}/doc/${PACKAGE_TARNAME}' +infodir='${datarootdir}/info' +htmldir='${docdir}' +dvidir='${docdir}' +pdfdir='${docdir}' +psdir='${docdir}' +libdir='${exec_prefix}/lib' +localedir='${datarootdir}/locale' +mandir='${datarootdir}/man' ac_prev= +ac_dashdash= for ac_option do # If the previous option needs an argument, assign it. if test -n "$ac_prev"; then - eval "$ac_prev=\$ac_option" + eval $ac_prev=\$ac_option ac_prev= continue fi - ac_optarg=`expr "x$ac_option" : 'x[^=]*=\(.*\)'` + case $ac_option in + *=?*) ac_optarg=`expr "X$ac_option" : '[^=]*=\(.*\)'` ;; + *=) ac_optarg= ;; + *) ac_optarg=yes ;; + esac # Accept the important Cygnus configure options, so we can diagnose typos. - case $ac_option in + case $ac_dashdash$ac_option in + --) + ac_dashdash=yes ;; -bindir | --bindir | --bindi | --bind | --bin | --bi) ac_prev=bindir ;; @@ -385,33 +872,59 @@ do --config-cache | -C) cache_file=config.cache ;; - -datadir | --datadir | --datadi | --datad | --data | --dat | --da) + -datadir | --datadir | --datadi | --datad) ac_prev=datadir ;; - -datadir=* | --datadir=* | --datadi=* | --datad=* | --data=* | --dat=* \ - | --da=*) + -datadir=* | --datadir=* | --datadi=* | --datad=*) datadir=$ac_optarg ;; + -datarootdir | --datarootdir | --datarootdi | --datarootd | --dataroot \ + | --dataroo | --dataro | --datar) + ac_prev=datarootdir ;; + -datarootdir=* | --datarootdir=* | --datarootdi=* | --datarootd=* \ + | --dataroot=* | --dataroo=* | --dataro=* | --datar=*) + datarootdir=$ac_optarg ;; + -disable-* | --disable-*) - ac_feature=`expr "x$ac_option" : 'x-*disable-\(.*\)'` + ac_useropt=`expr "x$ac_option" : 'x-*disable-\(.*\)'` # Reject names that are not valid shell variable names. - expr "x$ac_feature" : ".*[^-_$as_cr_alnum]" >/dev/null && - { echo "$as_me: error: invalid feature name: $ac_feature" >&2 - { (exit 1); exit 1; }; } - ac_feature=`echo $ac_feature | sed 's/-/_/g'` - eval "enable_$ac_feature=no" ;; + expr "x$ac_useropt" : ".*[^-+._$as_cr_alnum]" >/dev/null && + as_fn_error $? "invalid feature name: $ac_useropt" + ac_useropt_orig=$ac_useropt + ac_useropt=`$as_echo "$ac_useropt" | sed 's/[-+.]/_/g'` + case $ac_user_opts in + *" +"enable_$ac_useropt" +"*) ;; + *) ac_unrecognized_opts="$ac_unrecognized_opts$ac_unrecognized_sep--disable-$ac_useropt_orig" + ac_unrecognized_sep=', ';; + esac + eval enable_$ac_useropt=no ;; + + -docdir | --docdir | --docdi | --doc | --do) + ac_prev=docdir ;; + -docdir=* | --docdir=* | --docdi=* | --doc=* | --do=*) + docdir=$ac_optarg ;; + + -dvidir | --dvidir | --dvidi | --dvid | --dvi | --dv) + ac_prev=dvidir ;; + -dvidir=* | --dvidir=* | --dvidi=* | --dvid=* | --dvi=* | --dv=*) + dvidir=$ac_optarg ;; -enable-* | --enable-*) - ac_feature=`expr "x$ac_option" : 'x-*enable-\([^=]*\)'` + ac_useropt=`expr "x$ac_option" : 'x-*enable-\([^=]*\)'` # Reject names that are not valid shell variable names. - expr "x$ac_feature" : ".*[^-_$as_cr_alnum]" >/dev/null && - { echo "$as_me: error: invalid feature name: $ac_feature" >&2 - { (exit 1); exit 1; }; } - ac_feature=`echo $ac_feature | sed 's/-/_/g'` - case $ac_option in - *=*) ac_optarg=`echo "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"`;; - *) ac_optarg=yes ;; + expr "x$ac_useropt" : ".*[^-+._$as_cr_alnum]" >/dev/null && + as_fn_error $? "invalid feature name: $ac_useropt" + ac_useropt_orig=$ac_useropt + ac_useropt=`$as_echo "$ac_useropt" | sed 's/[-+.]/_/g'` + case $ac_user_opts in + *" +"enable_$ac_useropt" +"*) ;; + *) ac_unrecognized_opts="$ac_unrecognized_opts$ac_unrecognized_sep--enable-$ac_useropt_orig" + ac_unrecognized_sep=', ';; esac - eval "enable_$ac_feature='$ac_optarg'" ;; + eval enable_$ac_useropt=\$ac_optarg ;; -exec-prefix | --exec_prefix | --exec-prefix | --exec-prefi \ | --exec-pref | --exec-pre | --exec-pr | --exec-p | --exec- \ @@ -438,6 +951,12 @@ do -host=* | --host=* | --hos=* | --ho=*) host_alias=$ac_optarg ;; + -htmldir | --htmldir | --htmldi | --htmld | --html | --htm | --ht) + ac_prev=htmldir ;; + -htmldir=* | --htmldir=* | --htmldi=* | --htmld=* | --html=* | --htm=* \ + | --ht=*) + htmldir=$ac_optarg ;; + -includedir | --includedir | --includedi | --included | --include \ | --includ | --inclu | --incl | --inc) ac_prev=includedir ;; @@ -462,13 +981,16 @@ do | --libexe=* | --libex=* | --libe=*) libexecdir=$ac_optarg ;; + -localedir | --localedir | --localedi | --localed | --locale) + ac_prev=localedir ;; + -localedir=* | --localedir=* | --localedi=* | --localed=* | --locale=*) + localedir=$ac_optarg ;; + -localstatedir | --localstatedir | --localstatedi | --localstated \ - | --localstate | --localstat | --localsta | --localst \ - | --locals | --local | --loca | --loc | --lo) + | --localstate | --localstat | --localsta | --localst | --locals) ac_prev=localstatedir ;; -localstatedir=* | --localstatedir=* | --localstatedi=* | --localstated=* \ - | --localstate=* | --localstat=* | --localsta=* | --localst=* \ - | --locals=* | --local=* | --loca=* | --loc=* | --lo=*) + | --localstate=* | --localstat=* | --localsta=* | --localst=* | --locals=*) localstatedir=$ac_optarg ;; -mandir | --mandir | --mandi | --mand | --man | --ma | --m) @@ -533,6 +1055,16 @@ do | --progr-tra=* | --program-tr=* | --program-t=*) program_transform_name=$ac_optarg ;; + -pdfdir | --pdfdir | --pdfdi | --pdfd | --pdf | --pd) + ac_prev=pdfdir ;; + -pdfdir=* | --pdfdir=* | --pdfdi=* | --pdfd=* | --pdf=* | --pd=*) + pdfdir=$ac_optarg ;; + + -psdir | --psdir | --psdi | --psd | --ps) + ac_prev=psdir ;; + -psdir=* | --psdir=* | --psdi=* | --psd=* | --ps=*) + psdir=$ac_optarg ;; + -q | -quiet | --quiet | --quie | --qui | --qu | --q \ | -silent | --silent | --silen | --sile | --sil) silent=yes ;; @@ -583,26 +1115,36 @@ do ac_init_version=: ;; -with-* | --with-*) - ac_package=`expr "x$ac_option" : 'x-*with-\([^=]*\)'` + ac_useropt=`expr "x$ac_option" : 'x-*with-\([^=]*\)'` # Reject names that are not valid shell variable names. - expr "x$ac_package" : ".*[^-_$as_cr_alnum]" >/dev/null && - { echo "$as_me: error: invalid package name: $ac_package" >&2 - { (exit 1); exit 1; }; } - ac_package=`echo $ac_package| sed 's/-/_/g'` - case $ac_option in - *=*) ac_optarg=`echo "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"`;; - *) ac_optarg=yes ;; + expr "x$ac_useropt" : ".*[^-+._$as_cr_alnum]" >/dev/null && + as_fn_error $? "invalid package name: $ac_useropt" + ac_useropt_orig=$ac_useropt + ac_useropt=`$as_echo "$ac_useropt" | sed 's/[-+.]/_/g'` + case $ac_user_opts in + *" +"with_$ac_useropt" +"*) ;; + *) ac_unrecognized_opts="$ac_unrecognized_opts$ac_unrecognized_sep--with-$ac_useropt_orig" + ac_unrecognized_sep=', ';; esac - eval "with_$ac_package='$ac_optarg'" ;; + eval with_$ac_useropt=\$ac_optarg ;; -without-* | --without-*) - ac_package=`expr "x$ac_option" : 'x-*without-\(.*\)'` + ac_useropt=`expr "x$ac_option" : 'x-*without-\(.*\)'` # Reject names that are not valid shell variable names. - expr "x$ac_package" : ".*[^-_$as_cr_alnum]" >/dev/null && - { echo "$as_me: error: invalid package name: $ac_package" >&2 - { (exit 1); exit 1; }; } - ac_package=`echo $ac_package | sed 's/-/_/g'` - eval "with_$ac_package=no" ;; + expr "x$ac_useropt" : ".*[^-+._$as_cr_alnum]" >/dev/null && + as_fn_error $? "invalid package name: $ac_useropt" + ac_useropt_orig=$ac_useropt + ac_useropt=`$as_echo "$ac_useropt" | sed 's/[-+.]/_/g'` + case $ac_user_opts in + *" +"with_$ac_useropt" +"*) ;; + *) ac_unrecognized_opts="$ac_unrecognized_opts$ac_unrecognized_sep--without-$ac_useropt_orig" + ac_unrecognized_sep=', ';; + esac + eval with_$ac_useropt=no ;; --x) # Obsolete; use --with-x. @@ -622,27 +1164,26 @@ do | --x-librar=* | --x-libra=* | --x-libr=* | --x-lib=* | --x-li=* | --x-l=*) x_libraries=$ac_optarg ;; - -*) { echo "$as_me: error: unrecognized option: $ac_option -Try \`$0 --help' for more information." >&2 - { (exit 1); exit 1; }; } + -*) as_fn_error $? "unrecognized option: \`$ac_option' +Try \`$0 --help' for more information" ;; *=*) ac_envvar=`expr "x$ac_option" : 'x\([^=]*\)='` # Reject names that are not valid shell variable names. - expr "x$ac_envvar" : ".*[^_$as_cr_alnum]" >/dev/null && - { echo "$as_me: error: invalid variable name: $ac_envvar" >&2 - { (exit 1); exit 1; }; } - ac_optarg=`echo "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"` - eval "$ac_envvar='$ac_optarg'" + case $ac_envvar in #( + '' | [0-9]* | *[!_$as_cr_alnum]* ) + as_fn_error $? "invalid variable name: \`$ac_envvar'" ;; + esac + eval $ac_envvar=\$ac_optarg export $ac_envvar ;; *) # FIXME: should be removed in autoconf 3.0. - echo "$as_me: WARNING: you should use --build, --host, --target" >&2 + $as_echo "$as_me: WARNING: you should use --build, --host, --target" >&2 expr "x$ac_option" : ".*[^-._$as_cr_alnum]" >/dev/null && - echo "$as_me: WARNING: invalid host type: $ac_option" >&2 - : ${build_alias=$ac_option} ${host_alias=$ac_option} ${target_alias=$ac_option} + $as_echo "$as_me: WARNING: invalid host type: $ac_option" >&2 + : "${build_alias=$ac_option} ${host_alias=$ac_option} ${target_alias=$ac_option}" ;; esac @@ -650,31 +1191,36 @@ done if test -n "$ac_prev"; then ac_option=--`echo $ac_prev | sed 's/_/-/g'` - { echo "$as_me: error: missing argument to $ac_option" >&2 - { (exit 1); exit 1; }; } + as_fn_error $? "missing argument to $ac_option" fi -# Be sure to have absolute paths. -for ac_var in exec_prefix prefix -do - eval ac_val=$`echo $ac_var` - case $ac_val in - [\\/$]* | ?:[\\/]* | NONE | '' ) ;; - *) { echo "$as_me: error: expected an absolute directory name for --$ac_var: $ac_val" >&2 - { (exit 1); exit 1; }; };; +if test -n "$ac_unrecognized_opts"; then + case $enable_option_checking in + no) ;; + fatal) as_fn_error $? "unrecognized options: $ac_unrecognized_opts" ;; + *) $as_echo "$as_me: WARNING: unrecognized options: $ac_unrecognized_opts" >&2 ;; esac -done +fi -# Be sure to have absolute paths. -for ac_var in bindir sbindir libexecdir datadir sysconfdir sharedstatedir \ - localstatedir libdir includedir oldincludedir infodir mandir +# Check all directory arguments for consistency. +for ac_var in exec_prefix prefix bindir sbindir libexecdir datarootdir \ + datadir sysconfdir sharedstatedir localstatedir includedir \ + oldincludedir docdir infodir htmldir dvidir pdfdir psdir \ + libdir localedir mandir do - eval ac_val=$`echo $ac_var` + eval ac_val=\$$ac_var + # Remove trailing slashes. + case $ac_val in + */ ) + ac_val=`expr "X$ac_val" : 'X\(.*[^/]\)' \| "X$ac_val" : 'X\(.*\)'` + eval $ac_var=\$ac_val;; + esac + # Be sure to have absolute directory names. case $ac_val in - [\\/$]* | ?:[\\/]* ) ;; - *) { echo "$as_me: error: expected an absolute directory name for --$ac_var: $ac_val" >&2 - { (exit 1); exit 1; }; };; + [\\/$]* | ?:[\\/]* ) continue;; + NONE | '' ) case $ac_var in *prefix ) continue;; esac;; esac + as_fn_error $? "expected an absolute directory name for --$ac_var: $ac_val" done # There might be people who depend on the old broken behavior: `$host' @@ -688,8 +1234,6 @@ target=$target_alias if test "x$host_alias" != x; then if test "x$build_alias" = x; then cross_compiling=maybe - echo "$as_me: WARNING: If you wanted to set the --build type, don't use --host. - If a cross compiler is detected then cross compile mode will be used." >&2 elif test "x$build_alias" != "x$host_alias"; then cross_compiling=yes fi @@ -701,74 +1245,72 @@ test -n "$host_alias" && ac_tool_prefix=$host_alias- test "$silent" = yes && exec 6>/dev/null +ac_pwd=`pwd` && test -n "$ac_pwd" && +ac_ls_di=`ls -di .` && +ac_pwd_ls_di=`cd "$ac_pwd" && ls -di .` || + as_fn_error $? "working directory cannot be determined" +test "X$ac_ls_di" = "X$ac_pwd_ls_di" || + as_fn_error $? "pwd does not report name of working directory" + + # Find the source files, if location was not specified. if test -z "$srcdir"; then ac_srcdir_defaulted=yes - # Try the directory containing this script, then its parent. - ac_confdir=`(dirname "$0") 2>/dev/null || -$as_expr X"$0" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \ - X"$0" : 'X\(//\)[^/]' \| \ - X"$0" : 'X\(//\)$' \| \ - X"$0" : 'X\(/\)' \| \ - . : '\(.\)' 2>/dev/null || -echo X"$0" | - sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{ s//\1/; q; } - /^X\(\/\/\)[^/].*/{ s//\1/; q; } - /^X\(\/\/\)$/{ s//\1/; q; } - /^X\(\/\).*/{ s//\1/; q; } - s/.*/./; q'` + # Try the directory containing this script, then the parent directory. + ac_confdir=`$as_dirname -- "$as_myself" || +$as_expr X"$as_myself" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \ + X"$as_myself" : 'X\(//\)[^/]' \| \ + X"$as_myself" : 'X\(//\)$' \| \ + X"$as_myself" : 'X\(/\)' \| . 2>/dev/null || +$as_echo X"$as_myself" | + sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{ + s//\1/ + q + } + /^X\(\/\/\)[^/].*/{ + s//\1/ + q + } + /^X\(\/\/\)$/{ + s//\1/ + q + } + /^X\(\/\).*/{ + s//\1/ + q + } + s/.*/./; q'` srcdir=$ac_confdir - if test ! -r $srcdir/$ac_unique_file; then + if test ! -r "$srcdir/$ac_unique_file"; then srcdir=.. fi else ac_srcdir_defaulted=no fi -if test ! -r $srcdir/$ac_unique_file; then - if test "$ac_srcdir_defaulted" = yes; then - { echo "$as_me: error: cannot find sources ($ac_unique_file) in $ac_confdir or .." >&2 - { (exit 1); exit 1; }; } - else - { echo "$as_me: error: cannot find sources ($ac_unique_file) in $srcdir" >&2 - { (exit 1); exit 1; }; } - fi -fi -(cd $srcdir && test -r ./$ac_unique_file) 2>/dev/null || - { echo "$as_me: error: sources are in $srcdir, but \`cd $srcdir' does not work" >&2 - { (exit 1); exit 1; }; } -srcdir=`echo "$srcdir" | sed 's%\([^\\/]\)[\\/]*$%\1%'` -ac_env_build_alias_set=${build_alias+set} -ac_env_build_alias_value=$build_alias -ac_cv_env_build_alias_set=${build_alias+set} -ac_cv_env_build_alias_value=$build_alias -ac_env_host_alias_set=${host_alias+set} -ac_env_host_alias_value=$host_alias -ac_cv_env_host_alias_set=${host_alias+set} -ac_cv_env_host_alias_value=$host_alias -ac_env_target_alias_set=${target_alias+set} -ac_env_target_alias_value=$target_alias -ac_cv_env_target_alias_set=${target_alias+set} -ac_cv_env_target_alias_value=$target_alias -ac_env_CC_set=${CC+set} -ac_env_CC_value=$CC -ac_cv_env_CC_set=${CC+set} -ac_cv_env_CC_value=$CC -ac_env_CFLAGS_set=${CFLAGS+set} -ac_env_CFLAGS_value=$CFLAGS -ac_cv_env_CFLAGS_set=${CFLAGS+set} -ac_cv_env_CFLAGS_value=$CFLAGS -ac_env_LDFLAGS_set=${LDFLAGS+set} -ac_env_LDFLAGS_value=$LDFLAGS -ac_cv_env_LDFLAGS_set=${LDFLAGS+set} -ac_cv_env_LDFLAGS_value=$LDFLAGS -ac_env_CPPFLAGS_set=${CPPFLAGS+set} -ac_env_CPPFLAGS_value=$CPPFLAGS -ac_cv_env_CPPFLAGS_set=${CPPFLAGS+set} -ac_cv_env_CPPFLAGS_value=$CPPFLAGS -ac_env_CPP_set=${CPP+set} -ac_env_CPP_value=$CPP -ac_cv_env_CPP_set=${CPP+set} -ac_cv_env_CPP_value=$CPP +if test ! -r "$srcdir/$ac_unique_file"; then + test "$ac_srcdir_defaulted" = yes && srcdir="$ac_confdir or .." + as_fn_error $? "cannot find sources ($ac_unique_file) in $srcdir" +fi +ac_msg="sources are in $srcdir, but \`cd $srcdir' does not work" +ac_abs_confdir=`( + cd "$srcdir" && test -r "./$ac_unique_file" || as_fn_error $? "$ac_msg" + pwd)` +# When building in place, set srcdir=. +if test "$ac_abs_confdir" = "$ac_pwd"; then + srcdir=. +fi +# Remove unnecessary trailing slashes from srcdir. +# Double slashes in file names in object file debugging info +# mess up M-x gdb in Emacs. +case $srcdir in +*/) srcdir=`expr "X$srcdir" : 'X\(.*[^/]\)' \| "X$srcdir" : 'X\(.*\)'`;; +esac +for ac_var in $ac_precious_vars; do + eval ac_env_${ac_var}_set=\${${ac_var}+set} + eval ac_env_${ac_var}_value=\$${ac_var} + eval ac_cv_env_${ac_var}_set=\${${ac_var}+set} + eval ac_cv_env_${ac_var}_value=\$${ac_var} +done # # Report the --help message. @@ -777,7 +1319,7 @@ if test "$ac_init_help" = "long"; then # Omit some internal or obsolete options to make the list less imposing. # This message is too long to be a string in the A/UX 3.1 sh. cat <<_ACEOF -\`configure' configures tcl 8.6 to adapt to many kinds of systems. +\`configure' configures tcl 8.7 to adapt to many kinds of systems. Usage: $0 [OPTION]... [VAR=VALUE]... @@ -791,20 +1333,17 @@ Configuration: --help=short display options specific to this package --help=recursive display the short help of all the included packages -V, --version display version information and exit - -q, --quiet, --silent do not print \`checking...' messages + -q, --quiet, --silent do not print \`checking ...' messages --cache-file=FILE cache test results in FILE [disabled] -C, --config-cache alias for \`--cache-file=config.cache' -n, --no-create do not create output files --srcdir=DIR find the sources in DIR [configure dir or \`..'] -_ACEOF - - cat <<_ACEOF Installation directories: --prefix=PREFIX install architecture-independent files in PREFIX - [$ac_default_prefix] + [$ac_default_prefix] --exec-prefix=EPREFIX install architecture-dependent files in EPREFIX - [PREFIX] + [PREFIX] By default, \`make install' will install all the files in \`$ac_default_prefix/bin', \`$ac_default_prefix/lib' etc. You can specify @@ -814,18 +1353,25 @@ for instance \`--prefix=\$HOME'. For better control, use the options below. Fine tuning of the installation directories: - --bindir=DIR user executables [EPREFIX/bin] - --sbindir=DIR system admin executables [EPREFIX/sbin] - --libexecdir=DIR program executables [EPREFIX/libexec] - --datadir=DIR read-only architecture-independent data [PREFIX/share] - --sysconfdir=DIR read-only single-machine data [PREFIX/etc] - --sharedstatedir=DIR modifiable architecture-independent data [PREFIX/com] - --localstatedir=DIR modifiable single-machine data [PREFIX/var] - --libdir=DIR object code libraries [EPREFIX/lib] - --includedir=DIR C header files [PREFIX/include] - --oldincludedir=DIR C header files for non-gcc [/usr/include] - --infodir=DIR info documentation [PREFIX/info] - --mandir=DIR man documentation [PREFIX/man] + --bindir=DIR user executables [EPREFIX/bin] + --sbindir=DIR system admin executables [EPREFIX/sbin] + --libexecdir=DIR program executables [EPREFIX/libexec] + --sysconfdir=DIR read-only single-machine data [PREFIX/etc] + --sharedstatedir=DIR modifiable architecture-independent data [PREFIX/com] + --localstatedir=DIR modifiable single-machine data [PREFIX/var] + --libdir=DIR object code libraries [EPREFIX/lib] + --includedir=DIR C header files [PREFIX/include] + --oldincludedir=DIR C header files for non-gcc [/usr/include] + --datarootdir=DIR read-only arch.-independent data root [PREFIX/share] + --datadir=DIR read-only architecture-independent data [DATAROOTDIR] + --infodir=DIR info documentation [DATAROOTDIR/info] + --localedir=DIR locale-dependent data [DATAROOTDIR/locale] + --mandir=DIR man documentation [DATAROOTDIR/man] + --docdir=DIR documentation root [DATAROOTDIR/doc/tcl] + --htmldir=DIR html documentation [DOCDIR] + --dvidir=DIR dvi documentation [DOCDIR] + --pdfdir=DIR pdf documentation [DOCDIR] + --psdir=DIR ps documentation [DOCDIR] _ACEOF cat <<\_ACEOF @@ -834,11 +1380,12 @@ fi if test -n "$ac_init_help"; then case $ac_init_help in - short | recursive ) echo "Configuration of tcl 8.6:";; + short | recursive ) echo "Configuration of tcl 8.7:";; esac cat <<\_ACEOF Optional Features: + --disable-option-checking ignore unrecognized --enable/--with options --disable-FEATURE do not include FEATURE (same as --enable-FEATURE=no) --enable-FEATURE[=ARG] include FEATURE [ARG=yes] --enable-man-symlinks use symlinks for the manpages (default: off) @@ -876,162 +1423,595 @@ Some influential environment variables: CFLAGS C compiler flags LDFLAGS linker flags, e.g. -L if you have libraries in a nonstandard directory - CPPFLAGS C/C++ preprocessor flags, e.g. -I if you have - headers in a nonstandard directory + LIBS libraries to pass to the linker, e.g. -l + CPPFLAGS (Objective) C/C++ preprocessor flags, e.g. -I if + you have headers in a nonstandard directory CPP C preprocessor Use these variables to override the choices made by `configure' or to help it to find libraries and programs with nonstandard names/locations. +Report bugs to the package provider. _ACEOF +ac_status=$? fi if test "$ac_init_help" = "recursive"; then # If there are subdirs, report their specific --help. - ac_popdir=`pwd` for ac_dir in : $ac_subdirs_all; do test "x$ac_dir" = x: && continue - test -d $ac_dir || continue + test -d "$ac_dir" || + { cd "$srcdir" && ac_pwd=`pwd` && srcdir=. && test -d "$ac_dir"; } || + continue ac_builddir=. -if test "$ac_dir" != .; then - ac_dir_suffix=/`echo "$ac_dir" | sed 's,^\.[\\/],,'` - # A "../" for each directory in $ac_dir_suffix. - ac_top_builddir=`echo "$ac_dir_suffix" | sed 's,/[^\\/]*,../,g'` -else - ac_dir_suffix= ac_top_builddir= -fi +case "$ac_dir" in +.) ac_dir_suffix= ac_top_builddir_sub=. ac_top_build_prefix= ;; +*) + ac_dir_suffix=/`$as_echo "$ac_dir" | sed 's|^\.[\\/]||'` + # A ".." for each directory in $ac_dir_suffix. + ac_top_builddir_sub=`$as_echo "$ac_dir_suffix" | sed 's|/[^\\/]*|/..|g;s|/||'` + case $ac_top_builddir_sub in + "") ac_top_builddir_sub=. ac_top_build_prefix= ;; + *) ac_top_build_prefix=$ac_top_builddir_sub/ ;; + esac ;; +esac +ac_abs_top_builddir=$ac_pwd +ac_abs_builddir=$ac_pwd$ac_dir_suffix +# for backward compatibility: +ac_top_builddir=$ac_top_build_prefix case $srcdir in - .) # No --srcdir option. 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This configure script is free software; the Free Software Foundation gives unlimited permission to copy, distribute and modify it. _ACEOF - exit 0 + exit fi -exec 5>config.log -cat >&5 <<_ACEOF -This file contains any messages produced by compilers while -running configure, to aid debugging if configure makes a mistake. - -It was created by tcl $as_me 8.6, which was -generated by GNU Autoconf 2.59. 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" >&6; } +if eval \${$3+:} false; then : + $as_echo_n "(cached) " >&6 +else + eval "$3=no" + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +$4 +int +main () +{ +if (sizeof ($2)) + return 0; + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +$4 +int +main () +{ +if (sizeof (($2))) + return 0; + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + +else + eval "$3=yes" +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +eval ac_res=\$$3 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_res" >&5 +$as_echo "$ac_res" >&6; } + eval $as_lineno_stack; ${as_lineno_stack:+:} unset as_lineno + +} # ac_fn_c_check_type + +# ac_fn_c_check_member LINENO AGGR MEMBER VAR INCLUDES +# ---------------------------------------------------- +# Tries to find if the field MEMBER exists in type AGGR, after including +# INCLUDES, setting cache variable VAR accordingly. +ac_fn_c_check_member () +{ + as_lineno=${as_lineno-"$1"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $2.$3" >&5 +$as_echo_n "checking for $2.$3... " >&6; } +if eval \${$4+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +$5 +int +main () +{ +static $2 ac_aggr; +if (ac_aggr.$3) +return 0; + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + eval "$4=yes" +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +$5 +int +main () +{ +static $2 ac_aggr; +if (sizeof ac_aggr.$3) +return 0; + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + eval "$4=yes" +else + eval "$4=no" +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +eval ac_res=\$$4 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_res" >&5 +$as_echo "$ac_res" >&6; } + eval $as_lineno_stack; ${as_lineno_stack:+:} unset as_lineno + +} # ac_fn_c_check_member +cat >config.log <<_ACEOF +This file contains any messages produced by compilers while +running configure, to aid debugging if configure makes a mistake. + +It was created by tcl $as_me 8.7, which was +generated by GNU Autoconf 2.69. Invocation command line was + + $ $0 $@ + +_ACEOF +exec 5>>config.log +{ +cat <<_ASUNAME +## --------- ## +## Platform. ## +## --------- ## + +hostname = `(hostname || uname -n) 2>/dev/null | sed 1q` +uname -m = `(uname -m) 2>/dev/null || echo unknown` +uname -r = `(uname -r) 2>/dev/null || echo unknown` +uname -s = `(uname -s) 2>/dev/null || echo unknown` +uname -v = `(uname -v) 2>/dev/null || echo unknown` + +/usr/bin/uname -p = `(/usr/bin/uname -p) 2>/dev/null || echo unknown` +/bin/uname -X = `(/bin/uname -X) 2>/dev/null || echo unknown` + +/bin/arch = `(/bin/arch) 2>/dev/null || echo unknown` +/usr/bin/arch -k = `(/usr/bin/arch -k) 2>/dev/null || echo unknown` +/usr/convex/getsysinfo = `(/usr/convex/getsysinfo) 2>/dev/null || echo unknown` +/usr/bin/hostinfo = `(/usr/bin/hostinfo) 2>/dev/null || echo unknown` +/bin/machine = `(/bin/machine) 2>/dev/null || echo unknown` +/usr/bin/oslevel = `(/usr/bin/oslevel) 2>/dev/null || echo unknown` +/bin/universe = `(/bin/universe) 2>/dev/null || echo unknown` + +_ASUNAME + +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + $as_echo "PATH: $as_dir" + done +IFS=$as_save_IFS + +} >&5 cat >&5 <<_ACEOF @@ -1051,7 +2031,6 @@ _ACEOF ac_configure_args= ac_configure_args0= ac_configure_args1= -ac_sep= ac_must_keep_next=false for ac_pass in 1 2 do @@ -1062,13 +2041,13 @@ do -q | -quiet | --quiet | --quie | --qui | --qu | --q \ | -silent | --silent | --silen | --sile | --sil) continue ;; - *" "*|*" "*|*[\[\]\~\#\$\^\&\*\(\)\{\}\\\|\;\<\>\?\"\']*) - ac_arg=`echo "$ac_arg" | sed "s/'/'\\\\\\\\''/g"` ;; + *\'*) + ac_arg=`$as_echo "$ac_arg" | sed "s/'/'\\\\\\\\''/g"` ;; esac case $ac_pass in - 1) ac_configure_args0="$ac_configure_args0 '$ac_arg'" ;; + 1) as_fn_append ac_configure_args0 " '$ac_arg'" ;; 2) - ac_configure_args1="$ac_configure_args1 '$ac_arg'" + as_fn_append ac_configure_args1 " '$ac_arg'" if test $ac_must_keep_next = true; then ac_must_keep_next=false # Got value, back to normal. else @@ -1084,104 +2063,115 @@ do -* ) ac_must_keep_next=true ;; esac fi - ac_configure_args="$ac_configure_args$ac_sep'$ac_arg'" - # Get rid of the leading space. - ac_sep=" " + as_fn_append ac_configure_args " '$ac_arg'" ;; esac done done -$as_unset ac_configure_args0 || test "${ac_configure_args0+set}" != set || { ac_configure_args0=; export ac_configure_args0; } -$as_unset ac_configure_args1 || test "${ac_configure_args1+set}" != set || { ac_configure_args1=; export ac_configure_args1; } +{ ac_configure_args0=; unset ac_configure_args0;} +{ ac_configure_args1=; unset ac_configure_args1;} # When interrupted or exit'd, cleanup temporary files, and complete # config.log. We remove comments because anyway the quotes in there # would cause problems or look ugly. -# WARNING: Be sure not to use single quotes in there, as some shells, -# such as our DU 5.0 friend, will then `close' the trap. +# WARNING: Use '\'' to represent an apostrophe within the trap. +# WARNING: Do not start the trap code with a newline, due to a FreeBSD 4.0 bug. trap 'exit_status=$? # Save into config.log some information that might help in debugging. { echo - cat <<\_ASBOX -## ---------------- ## + $as_echo "## ---------------- ## ## Cache variables. ## -## ---------------- ## -_ASBOX +## ---------------- ##" echo # The following way of writing the cache mishandles newlines in values, -{ +( + for ac_var in `(set) 2>&1 | sed -n '\''s/^\([a-zA-Z_][a-zA-Z0-9_]*\)=.*/\1/p'\''`; do + eval ac_val=\$$ac_var + case $ac_val in #( + *${as_nl}*) + case $ac_var in #( + *_cv_*) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: cache variable $ac_var contains a newline" >&5 +$as_echo "$as_me: WARNING: cache variable $ac_var contains a newline" >&2;} ;; + esac + case $ac_var in #( + _ | IFS | as_nl) ;; #( + BASH_ARGV | BASH_SOURCE) eval $ac_var= ;; #( + *) { eval $ac_var=; unset $ac_var;} ;; + esac ;; + esac + done (set) 2>&1 | - case `(ac_space='"'"' '"'"'; set | grep ac_space) 2>&1` in - *ac_space=\ *) + case $as_nl`(ac_space='\'' '\''; set) 2>&1` in #( + *${as_nl}ac_space=\ *) sed -n \ - "s/'"'"'/'"'"'\\\\'"'"''"'"'/g; - s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1='"'"'\\2'"'"'/p" - ;; + "s/'\''/'\''\\\\'\'''\''/g; + s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1='\''\\2'\''/p" + ;; #( *) - sed -n \ - "s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1=\\2/p" + sed -n "/^[_$as_cr_alnum]*_cv_[_$as_cr_alnum]*=/p" ;; - esac; -} + esac | + sort +) echo - cat <<\_ASBOX -## ----------------- ## + $as_echo "## ----------------- ## ## Output variables. ## -## ----------------- ## -_ASBOX +## ----------------- ##" echo for ac_var in $ac_subst_vars do - eval ac_val=$`echo $ac_var` - echo "$ac_var='"'"'$ac_val'"'"'" + eval ac_val=\$$ac_var + case $ac_val in + *\'\''*) ac_val=`$as_echo "$ac_val" | sed "s/'\''/'\''\\\\\\\\'\'''\''/g"`;; + esac + $as_echo "$ac_var='\''$ac_val'\''" done | sort echo if test -n "$ac_subst_files"; then - cat <<\_ASBOX -## ------------- ## -## Output files. ## -## ------------- ## -_ASBOX + $as_echo "## ------------------- ## +## File substitutions. ## +## ------------------- ##" echo for ac_var in $ac_subst_files do - eval ac_val=$`echo $ac_var` - echo "$ac_var='"'"'$ac_val'"'"'" + eval ac_val=\$$ac_var + case $ac_val in + *\'\''*) ac_val=`$as_echo "$ac_val" | sed "s/'\''/'\''\\\\\\\\'\'''\''/g"`;; + esac + $as_echo "$ac_var='\''$ac_val'\''" done | sort echo fi if test -s confdefs.h; then - cat <<\_ASBOX -## ----------- ## + $as_echo "## ----------- ## ## confdefs.h. ## -## ----------- ## -_ASBOX +## ----------- ##" echo - sed "/^$/d" confdefs.h | sort + cat confdefs.h echo fi test "$ac_signal" != 0 && - echo "$as_me: caught signal $ac_signal" - echo "$as_me: exit $exit_status" + $as_echo "$as_me: caught signal $ac_signal" + $as_echo "$as_me: exit $exit_status" } >&5 - rm -f core *.core && - rm -rf conftest* confdefs* conf$$* $ac_clean_files && + rm -f core *.core core.conftest.* && + rm -f -r conftest* confdefs* conf$$* $ac_clean_files && exit $exit_status - ' 0 +' 0 for ac_signal in 1 2 13 15; do - trap 'ac_signal='$ac_signal'; { (exit 1); exit 1; }' $ac_signal + trap 'ac_signal='$ac_signal'; as_fn_exit 1' $ac_signal done ac_signal=0 # confdefs.h avoids OS command line length limits that DEFS can exceed. -rm -rf conftest* confdefs.h -# AIX cpp loses on an empty file, so make sure it contains at least a newline. -echo >confdefs.h +rm -f -r conftest* confdefs.h + +$as_echo "/* confdefs.h */" > confdefs.h # Predefined preprocessor variables. @@ -1189,112 +2179,137 @@ cat >>confdefs.h <<_ACEOF #define PACKAGE_NAME "$PACKAGE_NAME" _ACEOF - cat >>confdefs.h <<_ACEOF #define PACKAGE_TARNAME "$PACKAGE_TARNAME" _ACEOF - cat >>confdefs.h <<_ACEOF #define PACKAGE_VERSION "$PACKAGE_VERSION" _ACEOF - cat >>confdefs.h <<_ACEOF #define PACKAGE_STRING "$PACKAGE_STRING" _ACEOF - cat >>confdefs.h <<_ACEOF #define PACKAGE_BUGREPORT "$PACKAGE_BUGREPORT" _ACEOF +cat >>confdefs.h <<_ACEOF +#define PACKAGE_URL "$PACKAGE_URL" +_ACEOF + # Let the site file select an alternate cache file if it wants to. -# Prefer explicitly selected file to automatically selected ones. -if test -z "$CONFIG_SITE"; then - if test "x$prefix" != xNONE; then - CONFIG_SITE="$prefix/share/config.site $prefix/etc/config.site" - else - CONFIG_SITE="$ac_default_prefix/share/config.site $ac_default_prefix/etc/config.site" - fi +# Prefer an explicitly selected file to automatically selected ones. +ac_site_file1=NONE +ac_site_file2=NONE +if test -n "$CONFIG_SITE"; then + # We do not want a PATH search for config.site. + case $CONFIG_SITE in #(( + -*) ac_site_file1=./$CONFIG_SITE;; + */*) ac_site_file1=$CONFIG_SITE;; + *) ac_site_file1=./$CONFIG_SITE;; + esac +elif test "x$prefix" != xNONE; then + ac_site_file1=$prefix/share/config.site + ac_site_file2=$prefix/etc/config.site +else + ac_site_file1=$ac_default_prefix/share/config.site + ac_site_file2=$ac_default_prefix/etc/config.site fi -for ac_site_file in $CONFIG_SITE; do - if test -r "$ac_site_file"; then - { echo "$as_me:$LINENO: loading site script $ac_site_file" >&5 -echo "$as_me: loading site script $ac_site_file" >&6;} +for ac_site_file in "$ac_site_file1" "$ac_site_file2" +do + test "x$ac_site_file" = xNONE && continue + if test /dev/null != "$ac_site_file" && test -r "$ac_site_file"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: loading site script $ac_site_file" >&5 +$as_echo "$as_me: loading site script $ac_site_file" >&6;} sed 's/^/| /' "$ac_site_file" >&5 - . "$ac_site_file" + . "$ac_site_file" \ + || { { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error $? "failed to load site script $ac_site_file +See \`config.log' for more details" "$LINENO" 5; } fi done if test -r "$cache_file"; then - # Some versions of bash will fail to source /dev/null (special - # files actually), so we avoid doing that. - if test -f "$cache_file"; then - { echo "$as_me:$LINENO: loading cache $cache_file" >&5 -echo "$as_me: loading cache $cache_file" >&6;} + # Some versions of bash will fail to source /dev/null (special files + # actually), so we avoid doing that. DJGPP emulates it as a regular file. + if test /dev/null != "$cache_file" && test -f "$cache_file"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: loading cache $cache_file" >&5 +$as_echo "$as_me: loading cache $cache_file" >&6;} case $cache_file in - [\\/]* | ?:[\\/]* ) . $cache_file;; - *) . ./$cache_file;; + [\\/]* | ?:[\\/]* ) . "$cache_file";; + *) . "./$cache_file";; esac fi else - { echo "$as_me:$LINENO: creating cache $cache_file" >&5 -echo "$as_me: creating cache $cache_file" >&6;} + { $as_echo "$as_me:${as_lineno-$LINENO}: creating cache $cache_file" >&5 +$as_echo "$as_me: creating cache $cache_file" >&6;} >$cache_file fi # Check that the precious variables saved in the cache have kept the same # value. ac_cache_corrupted=false -for ac_var in `(set) 2>&1 | - sed -n 's/^ac_env_\([a-zA-Z_0-9]*\)_set=.*/\1/p'`; do +for ac_var in $ac_precious_vars; do eval ac_old_set=\$ac_cv_env_${ac_var}_set eval ac_new_set=\$ac_env_${ac_var}_set - eval ac_old_val="\$ac_cv_env_${ac_var}_value" - eval ac_new_val="\$ac_env_${ac_var}_value" + eval ac_old_val=\$ac_cv_env_${ac_var}_value + eval ac_new_val=\$ac_env_${ac_var}_value case $ac_old_set,$ac_new_set in set,) - { echo "$as_me:$LINENO: error: \`$ac_var' was set to \`$ac_old_val' in the previous run" >&5 -echo "$as_me: error: \`$ac_var' was set to \`$ac_old_val' in the previous run" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: error: \`$ac_var' was set to \`$ac_old_val' in the previous run" >&5 +$as_echo "$as_me: error: \`$ac_var' was set to \`$ac_old_val' in the previous run" >&2;} ac_cache_corrupted=: ;; ,set) - { echo "$as_me:$LINENO: error: \`$ac_var' was not set in the previous run" >&5 -echo "$as_me: error: \`$ac_var' was not set in the previous run" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: error: \`$ac_var' was not set in the previous run" >&5 +$as_echo "$as_me: error: \`$ac_var' was not set in the previous run" >&2;} ac_cache_corrupted=: ;; ,);; *) if test "x$ac_old_val" != "x$ac_new_val"; then - { echo "$as_me:$LINENO: error: \`$ac_var' has changed since the previous run:" >&5 -echo "$as_me: error: \`$ac_var' has changed since the previous run:" >&2;} - { echo "$as_me:$LINENO: former value: $ac_old_val" >&5 -echo "$as_me: former value: $ac_old_val" >&2;} - { echo "$as_me:$LINENO: current value: $ac_new_val" >&5 -echo "$as_me: current value: $ac_new_val" >&2;} - ac_cache_corrupted=: + # differences in whitespace do not lead to failure. + ac_old_val_w=`echo x $ac_old_val` + ac_new_val_w=`echo x $ac_new_val` + if test "$ac_old_val_w" != "$ac_new_val_w"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: error: \`$ac_var' has changed since the previous run:" >&5 +$as_echo "$as_me: error: \`$ac_var' has changed since the previous run:" >&2;} + ac_cache_corrupted=: + else + { $as_echo "$as_me:${as_lineno-$LINENO}: warning: ignoring whitespace changes in \`$ac_var' since the previous run:" >&5 +$as_echo "$as_me: warning: ignoring whitespace changes in \`$ac_var' since the previous run:" >&2;} + eval $ac_var=\$ac_old_val + fi + { $as_echo "$as_me:${as_lineno-$LINENO}: former value: \`$ac_old_val'" >&5 +$as_echo "$as_me: former value: \`$ac_old_val'" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: current value: \`$ac_new_val'" >&5 +$as_echo "$as_me: current value: \`$ac_new_val'" >&2;} fi;; esac # Pass precious variables to config.status. if test "$ac_new_set" = set; then case $ac_new_val in - *" "*|*" "*|*[\[\]\~\#\$\^\&\*\(\)\{\}\\\|\;\<\>\?\"\']*) - ac_arg=$ac_var=`echo "$ac_new_val" | sed "s/'/'\\\\\\\\''/g"` ;; + *\'*) ac_arg=$ac_var=`$as_echo "$ac_new_val" | sed "s/'/'\\\\\\\\''/g"` ;; *) ac_arg=$ac_var=$ac_new_val ;; esac case " $ac_configure_args " in *" '$ac_arg' "*) ;; # Avoid dups. Use of quotes ensures accuracy. - *) ac_configure_args="$ac_configure_args '$ac_arg'" ;; + *) as_fn_append ac_configure_args " '$ac_arg'" ;; esac fi done if $ac_cache_corrupted; then - { echo "$as_me:$LINENO: error: changes in the environment can compromise the build" >&5 -echo "$as_me: error: changes in the environment can compromise the build" >&2;} - { { echo "$as_me:$LINENO: error: run \`make distclean' and/or \`rm $cache_file' and start over" >&5 -echo "$as_me: error: run \`make distclean' and/or \`rm $cache_file' and start over" >&2;} - { (exit 1); exit 1; }; } + { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: error: changes in the environment can compromise the build" >&5 +$as_echo "$as_me: error: changes in the environment can compromise the build" >&2;} + as_fn_error $? "run \`make distclean' and/or \`rm $cache_file' and start over" "$LINENO" 5 fi +## -------------------- ## +## Main body of script. ## +## -------------------- ## ac_ext=c ac_cpp='$CPP $CPPFLAGS' @@ -1307,35 +2322,10 @@ ac_compiler_gnu=$ac_cv_c_compiler_gnu - - - - - - - - - - - - - - - - - - - - - - - - - -TCL_VERSION=8.6 +TCL_VERSION=8.7 TCL_MAJOR_VERSION=8 -TCL_MINOR_VERSION=6 -TCL_PATCH_LEVEL=".5" +TCL_MINOR_VERSION=7 +TCL_PATCH_LEVEL="a0" VERSION=${TCL_VERSION} EXTRA_INSTALL_BINARIES=${EXTRA_INSTALL_BINARIES:-"@:"} @@ -1382,62 +2372,60 @@ TCL_SRC_DIR="`cd "$srcdir"/..; pwd`" #------------------------------------------------------------------------ - echo "$as_me:$LINENO: checking whether to use symlinks for manpages" >&5 -echo $ECHO_N "checking whether to use symlinks for manpages... $ECHO_C" >&6 - # Check whether --enable-man-symlinks or --disable-man-symlinks was given. -if test "${enable_man_symlinks+set}" = set; then - enableval="$enable_man_symlinks" - test "$enableval" != "no" && MAN_FLAGS="$MAN_FLAGS --symlinks" + { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether to use symlinks for manpages" >&5 +$as_echo_n "checking whether to use symlinks for manpages... " >&6; } + # Check whether --enable-man-symlinks was given. +if test "${enable_man_symlinks+set}" = set; then : + enableval=$enable_man_symlinks; test "$enableval" != "no" && MAN_FLAGS="$MAN_FLAGS --symlinks" else enableval="no" -fi; - echo "$as_me:$LINENO: result: $enableval" >&5 -echo "${ECHO_T}$enableval" >&6 - - echo "$as_me:$LINENO: checking whether to compress the manpages" >&5 -echo $ECHO_N "checking whether to compress the manpages... $ECHO_C" >&6 - # Check whether --enable-man-compression or --disable-man-compression was given. -if test "${enable_man_compression+set}" = set; then - enableval="$enable_man_compression" - case $enableval in - yes) { { echo "$as_me:$LINENO: error: missing argument to --enable-man-compression" >&5 -echo "$as_me: error: missing argument to --enable-man-compression" >&2;} - { (exit 1); exit 1; }; };; +fi + + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $enableval" >&5 +$as_echo "$enableval" >&6; } + + { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether to compress the manpages" >&5 +$as_echo_n "checking whether to compress the manpages... " >&6; } + # Check whether --enable-man-compression was given. +if test "${enable_man_compression+set}" = set; then : + enableval=$enable_man_compression; case $enableval in + yes) as_fn_error $? "missing argument to --enable-man-compression" "$LINENO" 5;; no) ;; *) MAN_FLAGS="$MAN_FLAGS --compress $enableval";; esac else enableval="no" -fi; - echo "$as_me:$LINENO: result: $enableval" >&5 -echo "${ECHO_T}$enableval" >&6 +fi + + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $enableval" >&5 +$as_echo "$enableval" >&6; } if test "$enableval" != "no"; then - echo "$as_me:$LINENO: checking for compressed file suffix" >&5 -echo $ECHO_N "checking for compressed file suffix... $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for compressed file suffix" >&5 +$as_echo_n "checking for compressed file suffix... " >&6; } touch TeST $enableval TeST Z=`ls TeST* | sed 's/^....//'` rm -f TeST* MAN_FLAGS="$MAN_FLAGS --extension $Z" - echo "$as_me:$LINENO: result: $Z" >&5 -echo "${ECHO_T}$Z" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $Z" >&5 +$as_echo "$Z" >&6; } fi - echo "$as_me:$LINENO: checking whether to add a package name suffix for the manpages" >&5 -echo $ECHO_N "checking whether to add a package name suffix for the manpages... $ECHO_C" >&6 - # Check whether --enable-man-suffix or --disable-man-suffix was given. -if test "${enable_man_suffix+set}" = set; then - enableval="$enable_man_suffix" - case $enableval in + { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether to add a package name suffix for the manpages" >&5 +$as_echo_n "checking whether to add a package name suffix for the manpages... " >&6; } + # Check whether --enable-man-suffix was given. +if test "${enable_man_suffix+set}" = set; then : + enableval=$enable_man_suffix; case $enableval in yes) enableval="tcl" MAN_FLAGS="$MAN_FLAGS --suffix $enableval";; no) ;; *) MAN_FLAGS="$MAN_FLAGS --suffix $enableval";; esac else enableval="no" -fi; - echo "$as_me:$LINENO: result: $enableval" >&5 -echo "${ECHO_T}$enableval" >&6 +fi + + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $enableval" >&5 +$as_echo "$enableval" >&6; } @@ -1460,10 +2448,10 @@ ac_compiler_gnu=$ac_cv_c_compiler_gnu if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}gcc", so it can be a program name with args. set dummy ${ac_tool_prefix}gcc; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_CC+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_CC+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$CC"; then ac_cv_prog_CC="$CC" # Let the user override the test. @@ -1473,35 +2461,37 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_CC="${ac_tool_prefix}gcc" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi CC=$ac_cv_prog_CC if test -n "$CC"; then - echo "$as_me:$LINENO: result: $CC" >&5 -echo "${ECHO_T}$CC" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $CC" >&5 +$as_echo "$CC" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi + fi if test -z "$ac_cv_prog_CC"; then ac_ct_CC=$CC # Extract the first word of "gcc", so it can be a program name with args. set dummy gcc; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_ac_ct_CC+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_CC+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_CC"; then ac_cv_prog_ac_ct_CC="$ac_ct_CC" # Let the user override the test. @@ -1511,39 +2501,50 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_CC="gcc" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi ac_ct_CC=$ac_cv_prog_ac_ct_CC if test -n "$ac_ct_CC"; then - echo "$as_me:$LINENO: result: $ac_ct_CC" >&5 -echo "${ECHO_T}$ac_ct_CC" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_CC" >&5 +$as_echo "$ac_ct_CC" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi - CC=$ac_ct_CC + if test "x$ac_ct_CC" = x; then + CC="" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + CC=$ac_ct_CC + fi else CC="$ac_cv_prog_CC" fi if test -z "$CC"; then - if test -n "$ac_tool_prefix"; then - # Extract the first word of "${ac_tool_prefix}cc", so it can be a program name with args. + if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}cc", so it can be a program name with args. set dummy ${ac_tool_prefix}cc; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_CC+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_CC+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$CC"; then ac_cv_prog_CC="$CC" # Let the user override the test. @@ -1553,77 +2554,37 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_CC="${ac_tool_prefix}cc" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi CC=$ac_cv_prog_CC if test -n "$CC"; then - echo "$as_me:$LINENO: result: $CC" >&5 -echo "${ECHO_T}$CC" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $CC" >&5 +$as_echo "$CC" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi + + fi fi -if test -z "$ac_cv_prog_CC"; then - ac_ct_CC=$CC +if test -z "$CC"; then # Extract the first word of "cc", so it can be a program name with args. set dummy cc; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_ac_ct_CC+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - if test -n "$ac_ct_CC"; then - ac_cv_prog_ac_ct_CC="$ac_ct_CC" # Let the user override the test. -else -as_save_IFS=$IFS; IFS=$PATH_SEPARATOR -for as_dir in $PATH -do - IFS=$as_save_IFS - test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then - ac_cv_prog_ac_ct_CC="cc" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 - break 2 - fi -done -done - -fi -fi -ac_ct_CC=$ac_cv_prog_ac_ct_CC -if test -n "$ac_ct_CC"; then - echo "$as_me:$LINENO: result: $ac_ct_CC" >&5 -echo "${ECHO_T}$ac_ct_CC" >&6 -else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 -fi - - CC=$ac_ct_CC -else - CC="$ac_cv_prog_CC" -fi - -fi -if test -z "$CC"; then - # Extract the first word of "cc", so it can be a program name with args. -set dummy cc; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_CC+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_CC+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$CC"; then ac_cv_prog_CC="$CC" # Let the user override the test. @@ -1634,18 +2595,19 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then if test "$as_dir/$ac_word$ac_exec_ext" = "/usr/ucb/cc"; then ac_prog_rejected=yes continue fi ac_cv_prog_CC="cc" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS if test $ac_prog_rejected = yes; then # We found a bogon in the path, so make sure we never use it. @@ -1663,24 +2625,25 @@ fi fi CC=$ac_cv_prog_CC if test -n "$CC"; then - echo "$as_me:$LINENO: result: $CC" >&5 -echo "${ECHO_T}$CC" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $CC" >&5 +$as_echo "$CC" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi + fi if test -z "$CC"; then if test -n "$ac_tool_prefix"; then - for ac_prog in cl + for ac_prog in cl.exe do # Extract the first word of "$ac_tool_prefix$ac_prog", so it can be a program name with args. set dummy $ac_tool_prefix$ac_prog; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_CC+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_CC+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$CC"; then ac_cv_prog_CC="$CC" # Let the user override the test. @@ -1690,39 +2653,41 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_CC="$ac_tool_prefix$ac_prog" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi CC=$ac_cv_prog_CC if test -n "$CC"; then - echo "$as_me:$LINENO: result: $CC" >&5 -echo "${ECHO_T}$CC" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $CC" >&5 +$as_echo "$CC" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi + test -n "$CC" && break done fi if test -z "$CC"; then ac_ct_CC=$CC - for ac_prog in cl + for ac_prog in cl.exe do # Extract the first word of "$ac_prog", so it can be a program name with args. set dummy $ac_prog; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_ac_ct_CC+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_CC+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_CC"; then ac_cv_prog_ac_ct_CC="$ac_ct_CC" # Let the user override the test. @@ -1732,66 +2697,78 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_CC="$ac_prog" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi ac_ct_CC=$ac_cv_prog_ac_ct_CC if test -n "$ac_ct_CC"; then - echo "$as_me:$LINENO: result: $ac_ct_CC" >&5 -echo "${ECHO_T}$ac_ct_CC" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_CC" >&5 +$as_echo "$ac_ct_CC" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi + test -n "$ac_ct_CC" && break done - CC=$ac_ct_CC + if test "x$ac_ct_CC" = x; then + CC="" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + CC=$ac_ct_CC + fi fi fi -test -z "$CC" && { { echo "$as_me:$LINENO: error: no acceptable C compiler found in \$PATH -See \`config.log' for more details." >&5 -echo "$as_me: error: no acceptable C compiler found in \$PATH -See \`config.log' for more details." >&2;} - { (exit 1); exit 1; }; } +test -z "$CC" && { { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error $? "no acceptable C compiler found in \$PATH +See \`config.log' for more details" "$LINENO" 5; } # Provide some information about the compiler. -echo "$as_me:$LINENO:" \ - "checking for C compiler version" >&5 -ac_compiler=`set X $ac_compile; echo $2` -{ (eval echo "$as_me:$LINENO: \"$ac_compiler --version &5\"") >&5 - (eval $ac_compiler --version &5) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } -{ (eval echo "$as_me:$LINENO: \"$ac_compiler -v &5\"") >&5 - (eval $ac_compiler -v &5) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } -{ (eval echo "$as_me:$LINENO: \"$ac_compiler -V &5\"") >&5 - (eval $ac_compiler -V &5) 2>&5 +$as_echo "$as_me:${as_lineno-$LINENO}: checking for C compiler version" >&5 +set X $ac_compile +ac_compiler=$2 +for ac_option in --version -v -V -qversion; do + { { ac_try="$ac_compiler $ac_option >&5" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_compiler $ac_option >&5") 2>conftest.err ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } + if test -s conftest.err; then + sed '10a\ +... rest of stderr output deleted ... + 10q' conftest.err >conftest.er1 + cat conftest.er1 >&5 + fi + rm -f conftest.er1 conftest.err + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; } +done -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -1803,112 +2780,108 @@ main () } _ACEOF ac_clean_files_save=$ac_clean_files -ac_clean_files="$ac_clean_files a.out a.exe b.out" +ac_clean_files="$ac_clean_files a.out a.out.dSYM a.exe b.out" # Try to create an executable without -o first, disregard a.out. # It will help us diagnose broken compilers, and finding out an intuition # of exeext. -echo "$as_me:$LINENO: checking for C compiler default output file name" >&5 -echo $ECHO_N "checking for C compiler default output file name... $ECHO_C" >&6 -ac_link_default=`echo "$ac_link" | sed 's/ -o *conftest[^ ]*//'` -if { (eval echo "$as_me:$LINENO: \"$ac_link_default\"") >&5 - (eval $ac_link_default) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; then - # Find the output, starting from the most likely. This scheme is -# not robust to junk in `.', hence go to wildcards (a.*) only as a last -# resort. - -# Be careful to initialize this variable, since it used to be cached. -# Otherwise an old cache value of `no' led to `EXEEXT = no' in a Makefile. -ac_cv_exeext= -# b.out is created by i960 compilers. -for ac_file in a_out.exe a.exe conftest.exe a.out conftest a.* conftest.* b.out +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether the C compiler works" >&5 +$as_echo_n "checking whether the C compiler works... " >&6; } +ac_link_default=`$as_echo "$ac_link" | sed 's/ -o *conftest[^ ]*//'` + +# The possible output files: +ac_files="a.out conftest.exe conftest a.exe a_out.exe b.out conftest.*" + +ac_rmfiles= +for ac_file in $ac_files +do + case $ac_file in + *.$ac_ext | *.xcoff | *.tds | *.d | *.pdb | *.xSYM | *.bb | *.bbg | *.map | *.inf | *.dSYM | *.o | *.obj ) ;; + * ) ac_rmfiles="$ac_rmfiles $ac_file";; + esac +done +rm -f $ac_rmfiles + +if { { ac_try="$ac_link_default" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_link_default") 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; }; then : + # Autoconf-2.13 could set the ac_cv_exeext variable to `no'. +# So ignore a value of `no', otherwise this would lead to `EXEEXT = no' +# in a Makefile. We should not override ac_cv_exeext if it was cached, +# so that the user can short-circuit this test for compilers unknown to +# Autoconf. +for ac_file in $ac_files '' do test -f "$ac_file" || continue case $ac_file in - *.$ac_ext | *.xcoff | *.tds | *.d | *.pdb | *.xSYM | *.bb | *.bbg | *.o | *.obj ) - ;; - conftest.$ac_ext ) - # This is the source file. + *.$ac_ext | *.xcoff | *.tds | *.d | *.pdb | *.xSYM | *.bb | *.bbg | *.map | *.inf | *.dSYM | *.o | *.obj ) ;; [ab].out ) # We found the default executable, but exeext='' is most # certainly right. break;; *.* ) - ac_cv_exeext=`expr "$ac_file" : '[^.]*\(\..*\)'` - # FIXME: I believe we export ac_cv_exeext for Libtool, - # but it would be cool to find out if it's true. Does anybody - # maintain Libtool? --akim. - export ac_cv_exeext + if test "${ac_cv_exeext+set}" = set && test "$ac_cv_exeext" != no; + then :; else + ac_cv_exeext=`expr "$ac_file" : '[^.]*\(\..*\)'` + fi + # We set ac_cv_exeext here because the later test for it is not + # safe: cross compilers may not add the suffix if given an `-o' + # argument, so we may need to know it at that point already. + # Even if this section looks crufty: it has the advantage of + # actually working. break;; * ) break;; esac done +test "$ac_cv_exeext" = no && ac_cv_exeext= + else - echo "$as_me: failed program was:" >&5 + ac_file='' +fi +if test -z "$ac_file"; then : + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +$as_echo "$as_me: failed program was:" >&5 sed 's/^/| /' conftest.$ac_ext >&5 -{ { echo "$as_me:$LINENO: error: C compiler cannot create executables -See \`config.log' for more details." >&5 -echo "$as_me: error: C compiler cannot create executables -See \`config.log' for more details." >&2;} - { (exit 77); exit 77; }; } +{ { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error 77 "C compiler cannot create executables +See \`config.log' for more details" "$LINENO" 5; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: yes" >&5 +$as_echo "yes" >&6; } fi - +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for C compiler default output file name" >&5 +$as_echo_n "checking for C compiler default output file name... " >&6; } +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_file" >&5 +$as_echo "$ac_file" >&6; } ac_exeext=$ac_cv_exeext -echo "$as_me:$LINENO: result: $ac_file" >&5 -echo "${ECHO_T}$ac_file" >&6 - -# Check the compiler produces executables we can run. If not, either -# the compiler is broken, or we cross compile. -echo "$as_me:$LINENO: checking whether the C compiler works" >&5 -echo $ECHO_N "checking whether the C compiler works... $ECHO_C" >&6 -# FIXME: These cross compiler hacks should be removed for Autoconf 3.0 -# If not cross compiling, check that we can run a simple program. -if test "$cross_compiling" != yes; then - if { ac_try='./$ac_file' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - cross_compiling=no - else - if test "$cross_compiling" = maybe; then - cross_compiling=yes - else - { { echo "$as_me:$LINENO: error: cannot run C compiled programs. -If you meant to cross compile, use \`--host'. -See \`config.log' for more details." >&5 -echo "$as_me: error: cannot run C compiled programs. -If you meant to cross compile, use \`--host'. -See \`config.log' for more details." >&2;} - { (exit 1); exit 1; }; } - fi - fi -fi -echo "$as_me:$LINENO: result: yes" >&5 -echo "${ECHO_T}yes" >&6 -rm -f a.out a.exe conftest$ac_cv_exeext b.out +rm -f -r a.out a.out.dSYM a.exe conftest$ac_cv_exeext b.out ac_clean_files=$ac_clean_files_save -# Check the compiler produces executables we can run. If not, either -# the compiler is broken, or we cross compile. -echo "$as_me:$LINENO: checking whether we are cross compiling" >&5 -echo $ECHO_N "checking whether we are cross compiling... $ECHO_C" >&6 -echo "$as_me:$LINENO: result: $cross_compiling" >&5 -echo "${ECHO_T}$cross_compiling" >&6 - -echo "$as_me:$LINENO: checking for suffix of executables" >&5 -echo $ECHO_N "checking for suffix of executables... $ECHO_C" >&6 -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>&5 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for suffix of executables" >&5 +$as_echo_n "checking for suffix of executables... " >&6; } +if { { ac_try="$ac_link" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_link") 2>&5 ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; then + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; }; then : # If both `conftest.exe' and `conftest' are `present' (well, observable) # catch `conftest.exe'. For instance with Cygwin, `ls conftest' will # work properly (i.e., refer to `conftest.exe'), while it won't with @@ -1916,38 +2889,90 @@ if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 for ac_file in conftest.exe conftest conftest.*; do test -f "$ac_file" || continue case $ac_file in - *.$ac_ext | *.xcoff | *.tds | *.d | *.pdb | *.xSYM | *.bb | *.bbg | *.o | *.obj ) ;; + *.$ac_ext | *.xcoff | *.tds | *.d | *.pdb | *.xSYM | *.bb | *.bbg | *.map | *.inf | *.dSYM | *.o | *.obj ) ;; *.* ) ac_cv_exeext=`expr "$ac_file" : '[^.]*\(\..*\)'` - export ac_cv_exeext break;; * ) break;; esac done else - { { echo "$as_me:$LINENO: error: cannot compute suffix of executables: cannot compile and link -See \`config.log' for more details." >&5 -echo "$as_me: error: cannot compute suffix of executables: cannot compile and link -See \`config.log' for more details." >&2;} - { (exit 1); exit 1; }; } + { { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error $? "cannot compute suffix of executables: cannot compile and link +See \`config.log' for more details" "$LINENO" 5; } fi - -rm -f conftest$ac_cv_exeext -echo "$as_me:$LINENO: result: $ac_cv_exeext" >&5 -echo "${ECHO_T}$ac_cv_exeext" >&6 +rm -f conftest conftest$ac_cv_exeext +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_exeext" >&5 +$as_echo "$ac_cv_exeext" >&6; } rm -f conftest.$ac_ext EXEEXT=$ac_cv_exeext ac_exeext=$EXEEXT -echo "$as_me:$LINENO: checking for suffix of object files" >&5 -echo $ECHO_N "checking for suffix of object files... $ECHO_C" >&6 -if test "${ac_cv_objext+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include +int +main () +{ +FILE *f = fopen ("conftest.out", "w"); + return ferror (f) || fclose (f) != 0; + + ; + return 0; +} _ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +ac_clean_files="$ac_clean_files conftest.out" +# Check that the compiler produces executables we can run. If not, either +# the compiler is broken, or we cross compile. +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether we are cross compiling" >&5 +$as_echo_n "checking whether we are cross compiling... " >&6; } +if test "$cross_compiling" != yes; then + { { ac_try="$ac_link" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_link") 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; } + if { ac_try='./conftest$ac_cv_exeext' + { { case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_try") 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; }; }; then + cross_compiling=no + else + if test "$cross_compiling" = maybe; then + cross_compiling=yes + else + { { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error $? "cannot run C compiled programs. +If you meant to cross compile, use \`--host'. +See \`config.log' for more details" "$LINENO" 5; } + fi + fi +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $cross_compiling" >&5 +$as_echo "$cross_compiling" >&6; } + +rm -f conftest.$ac_ext conftest$ac_cv_exeext conftest.out +ac_clean_files=$ac_clean_files_save +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for suffix of object files" >&5 +$as_echo_n "checking for suffix of object files... " >&6; } +if ${ac_cv_objext+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -1959,45 +2984,46 @@ main () } _ACEOF rm -f conftest.o conftest.obj -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; then - for ac_file in `(ls conftest.o conftest.obj; ls conftest.*) 2>/dev/null`; do +if { { ac_try="$ac_compile" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_compile") 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; }; then : + for ac_file in conftest.o conftest.obj conftest.*; do + test -f "$ac_file" || continue; case $ac_file in - *.$ac_ext | *.xcoff | *.tds | *.d | *.pdb | *.xSYM | *.bb | *.bbg ) ;; + *.$ac_ext | *.xcoff | *.tds | *.d | *.pdb | *.xSYM | *.bb | *.bbg | *.map | *.inf | *.dSYM ) ;; *) ac_cv_objext=`expr "$ac_file" : '.*\.\(.*\)'` break;; esac done else - echo "$as_me: failed program was:" >&5 + $as_echo "$as_me: failed program was:" >&5 sed 's/^/| /' conftest.$ac_ext >&5 -{ { echo "$as_me:$LINENO: error: cannot compute suffix of object files: cannot compile -See \`config.log' for more details." >&5 -echo "$as_me: error: cannot compute suffix of object files: cannot compile -See \`config.log' for more details." >&2;} - { (exit 1); exit 1; }; } +{ { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error $? "cannot compute suffix of object files: cannot compile +See \`config.log' for more details" "$LINENO" 5; } fi - rm -f conftest.$ac_cv_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $ac_cv_objext" >&5 -echo "${ECHO_T}$ac_cv_objext" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_objext" >&5 +$as_echo "$ac_cv_objext" >&6; } OBJEXT=$ac_cv_objext ac_objext=$OBJEXT -echo "$as_me:$LINENO: checking whether we are using the GNU C compiler" >&5 -echo $ECHO_N "checking whether we are using the GNU C compiler... $ECHO_C" >&6 -if test "${ac_cv_c_compiler_gnu+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether we are using the GNU C compiler" >&5 +$as_echo_n "checking whether we are using the GNU C compiler... " >&6; } +if ${ac_cv_c_compiler_gnu+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -2011,55 +3037,34 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : ac_compiler_gnu=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_compiler_gnu=no + ac_compiler_gnu=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext ac_cv_c_compiler_gnu=$ac_compiler_gnu fi -echo "$as_me:$LINENO: result: $ac_cv_c_compiler_gnu" >&5 -echo "${ECHO_T}$ac_cv_c_compiler_gnu" >&6 -GCC=`test $ac_compiler_gnu = yes && echo yes` +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_c_compiler_gnu" >&5 +$as_echo "$ac_cv_c_compiler_gnu" >&6; } +if test $ac_compiler_gnu = yes; then + GCC=yes +else + GCC= +fi ac_test_CFLAGS=${CFLAGS+set} ac_save_CFLAGS=$CFLAGS -CFLAGS="-g" -echo "$as_me:$LINENO: checking whether $CC accepts -g" >&5 -echo $ECHO_N "checking whether $CC accepts -g... $ECHO_C" >&6 -if test "${ac_cv_prog_cc_g+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether $CC accepts -g" >&5 +$as_echo_n "checking whether $CC accepts -g... " >&6; } +if ${ac_cv_prog_cc_g+:} false; then : + $as_echo_n "(cached) " >&6 +else + ac_save_c_werror_flag=$ac_c_werror_flag + ac_c_werror_flag=yes + ac_cv_prog_cc_g=no + CFLAGS="-g" + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -2070,39 +3075,49 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : ac_cv_prog_cc_g=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 + CFLAGS="" + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + +else + ac_c_werror_flag=$ac_save_c_werror_flag + CFLAGS="-g" + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ -ac_cv_prog_cc_g=no + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + ac_cv_prog_cc_g=yes +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext + ac_c_werror_flag=$ac_save_c_werror_flag fi -echo "$as_me:$LINENO: result: $ac_cv_prog_cc_g" >&5 -echo "${ECHO_T}$ac_cv_prog_cc_g" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_prog_cc_g" >&5 +$as_echo "$ac_cv_prog_cc_g" >&6; } if test "$ac_test_CFLAGS" = set; then CFLAGS=$ac_save_CFLAGS elif test $ac_cv_prog_cc_g = yes; then @@ -2118,23 +3133,18 @@ else CFLAGS= fi fi -echo "$as_me:$LINENO: checking for $CC option to accept ANSI C" >&5 -echo $ECHO_N "checking for $CC option to accept ANSI C... $ECHO_C" >&6 -if test "${ac_cv_prog_cc_stdc+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $CC option to accept ISO C89" >&5 +$as_echo_n "checking for $CC option to accept ISO C89... " >&6; } +if ${ac_cv_prog_cc_c89+:} false; then : + $as_echo_n "(cached) " >&6 else - ac_cv_prog_cc_stdc=no + ac_cv_prog_cc_c89=no ac_save_CC=$CC -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include #include -#include -#include +struct stat; /* Most of the following tests are stolen from RCS 5.7's src/conf.sh. */ struct buf { int x; }; FILE * (*rcsopen) (struct buf *, struct stat *, int); @@ -2157,12 +3167,17 @@ static char *f (char * (*g) (char **, int), char **p, ...) /* OSF 4.0 Compaq cc is some sort of almost-ANSI by default. It has function prototypes and stuff, but not '\xHH' hex character constants. These don't provoke an error unfortunately, instead are silently treated - as 'x'. The following induces an error, until -std1 is added to get + as 'x'. The following induces an error, until -std is added to get proper ANSI mode. Curiously '\x00'!='x' always comes out true, for an array size at least. It's necessary to write '\x00'==0 to get something - that's true only with -std1. */ + that's true only with -std. */ int osf4_cc_array ['\x00' == 0 ? 1 : -1]; +/* IBM C 6 for AIX is almost-ANSI by default, but it replaces macro parameters + inside strings and character constants. */ +#define FOO(x) 'x' +int xlc6_cc_array[FOO(a) == 'x' ? 1 : -1]; + int test (int i, double x); struct s1 {int (*f) (int a);}; struct s2 {int (*f) (double a);}; @@ -2177,205 +3192,37 @@ return f (e, argv, 0) != argv[0] || f (e, argv, 1) != argv[1]; return 0; } _ACEOF -# Don't try gcc -ansi; that turns off useful extensions and -# breaks some systems' header files. -# AIX -qlanglvl=ansi -# Ultrix and OSF/1 -std1 -# HP-UX 10.20 and later -Ae -# HP-UX older versions -Aa -D_HPUX_SOURCE -# SVR4 -Xc -D__EXTENSIONS__ -for ac_arg in "" -qlanglvl=ansi -std1 -Ae "-Aa -D_HPUX_SOURCE" "-Xc -D__EXTENSIONS__" +for ac_arg in '' -qlanglvl=extc89 -qlanglvl=ansi -std \ + -Ae "-Aa -D_HPUX_SOURCE" "-Xc -D__EXTENSIONS__" do CC="$ac_save_CC $ac_arg" - rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_prog_cc_stdc=$ac_arg -break -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - + if ac_fn_c_try_compile "$LINENO"; then : + ac_cv_prog_cc_c89=$ac_arg fi -rm -f conftest.err conftest.$ac_objext +rm -f core conftest.err conftest.$ac_objext + test "x$ac_cv_prog_cc_c89" != "xno" && break done -rm -f conftest.$ac_ext conftest.$ac_objext +rm -f conftest.$ac_ext CC=$ac_save_CC fi - -case "x$ac_cv_prog_cc_stdc" in - x|xno) - echo "$as_me:$LINENO: result: none needed" >&5 -echo "${ECHO_T}none needed" >&6 ;; +# AC_CACHE_VAL +case "x$ac_cv_prog_cc_c89" in + x) + { $as_echo "$as_me:${as_lineno-$LINENO}: result: none needed" >&5 +$as_echo "none needed" >&6; } ;; + xno) + { $as_echo "$as_me:${as_lineno-$LINENO}: result: unsupported" >&5 +$as_echo "unsupported" >&6; } ;; *) - echo "$as_me:$LINENO: result: $ac_cv_prog_cc_stdc" >&5 -echo "${ECHO_T}$ac_cv_prog_cc_stdc" >&6 - CC="$CC $ac_cv_prog_cc_stdc" ;; + CC="$CC $ac_cv_prog_cc_c89" + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_prog_cc_c89" >&5 +$as_echo "$ac_cv_prog_cc_c89" >&6; } ;; esac - -# Some people use a C++ compiler to compile C. Since we use `exit', -# in C++ we need to declare it. In case someone uses the same compiler -# for both compiling C and C++ we need to have the C++ compiler decide -# the declaration of exit, since it's the most demanding environment. -cat >conftest.$ac_ext <<_ACEOF -#ifndef __cplusplus - choke me -#endif -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - for ac_declaration in \ - '' \ - 'extern "C" void std::exit (int) throw (); using std::exit;' \ - 'extern "C" void std::exit (int); using std::exit;' \ - 'extern "C" void exit (int) throw ();' \ - 'extern "C" void exit (int);' \ - 'void exit (int);' -do - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_declaration -#include -int -main () -{ -exit (42); - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - : -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -continue -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_declaration -int -main () -{ -exit (42); - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - break -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 +if test "x$ac_cv_prog_cc_c89" != xno; then : fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -done -rm -f conftest* -if test -n "$ac_declaration"; then - echo '#ifdef __cplusplus' >>confdefs.h - echo $ac_declaration >>confdefs.h - echo '#endif' >>confdefs.h -fi - -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext ac_ext=c ac_cpp='$CPP $CPPFLAGS' ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' @@ -2383,18 +3230,14 @@ ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $ ac_compiler_gnu=$ac_cv_c_compiler_gnu -echo "$as_me:$LINENO: checking for inline" >&5 -echo $ECHO_N "checking for inline... $ECHO_C" >&6 -if test "${ac_cv_c_inline+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for inline" >&5 +$as_echo_n "checking for inline... " >&6; } +if ${ac_cv_c_inline+:} false; then : + $as_echo_n "(cached) " >&6 else ac_cv_c_inline=no for ac_kw in inline __inline__ __inline; do - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #ifndef __cplusplus typedef int foo_t; @@ -2403,41 +3246,16 @@ $ac_kw foo_t foo () {return 0; } #endif _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_c_inline=$ac_kw; break -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - +if ac_fn_c_try_compile "$LINENO"; then : + ac_cv_c_inline=$ac_kw fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext + test "$ac_cv_c_inline" != no && break done fi -echo "$as_me:$LINENO: result: $ac_cv_c_inline" >&5 -echo "${ECHO_T}$ac_cv_c_inline" >&6 - +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_c_inline" >&5 +$as_echo "$ac_cv_c_inline" >&6; } case $ac_cv_c_inline in inline | yes) ;; @@ -2469,15 +3287,15 @@ ac_cpp='$CPP $CPPFLAGS' ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5' ac_compiler_gnu=$ac_cv_c_compiler_gnu -echo "$as_me:$LINENO: checking how to run the C preprocessor" >&5 -echo $ECHO_N "checking how to run the C preprocessor... $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking how to run the C preprocessor" >&5 +$as_echo_n "checking how to run the C preprocessor... " >&6; } # On Suns, sometimes $CPP names a directory. if test -n "$CPP" && test -d "$CPP"; then CPP= fi if test -z "$CPP"; then - if test "${ac_cv_prog_CPP+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + if ${ac_cv_prog_CPP+:} false; then : + $as_echo_n "(cached) " >&6 else # Double quotes because CPP needs to be expanded for CPP in "$CC -E" "$CC -E -traditional-cpp" "/lib/cpp" @@ -2491,11 +3309,7 @@ do # exists even on freestanding compilers. # On the NeXT, cc -E runs the code through the compiler's parser, # not just through cpp. "Syntax error" is here to catch this case. - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #ifdef __STDC__ # include @@ -2504,78 +3318,34 @@ cat >>conftest.$ac_ext <<_ACEOF #endif Syntax error _ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes -fi -if test -z "$ac_cpp_err"; then - : -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 +if ac_fn_c_try_cpp "$LINENO"; then : +else # Broken: fails on valid input. continue fi -rm -f conftest.err conftest.$ac_ext +rm -f conftest.err conftest.i conftest.$ac_ext - # OK, works on sane cases. Now check whether non-existent headers + # OK, works on sane cases. Now check whether nonexistent headers # can be detected and how. - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include _ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes -fi -if test -z "$ac_cpp_err"; then +if ac_fn_c_try_cpp "$LINENO"; then : # Broken: success on invalid input. continue else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - # Passes both tests. ac_preproc_ok=: break fi -rm -f conftest.err conftest.$ac_ext +rm -f conftest.err conftest.i conftest.$ac_ext done # Because of `break', _AC_PREPROC_IFELSE's cleaning code was skipped. -rm -f conftest.err conftest.$ac_ext -if $ac_preproc_ok; then +rm -f conftest.i conftest.err conftest.$ac_ext +if $ac_preproc_ok; then : break fi @@ -2587,8 +3357,8 @@ fi else ac_cv_prog_CPP=$CPP fi -echo "$as_me:$LINENO: result: $CPP" >&5 -echo "${ECHO_T}$CPP" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $CPP" >&5 +$as_echo "$CPP" >&6; } ac_preproc_ok=false for ac_c_preproc_warn_flag in '' yes do @@ -2598,11 +3368,7 @@ do # exists even on freestanding compilers. # On the NeXT, cc -E runs the code through the compiler's parser, # not just through cpp. "Syntax error" is here to catch this case. - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #ifdef __STDC__ # include @@ -2611,85 +3377,40 @@ cat >>conftest.$ac_ext <<_ACEOF #endif Syntax error _ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes -fi -if test -z "$ac_cpp_err"; then - : -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 +if ac_fn_c_try_cpp "$LINENO"; then : +else # Broken: fails on valid input. continue fi -rm -f conftest.err conftest.$ac_ext +rm -f conftest.err conftest.i conftest.$ac_ext - # OK, works on sane cases. Now check whether non-existent headers + # OK, works on sane cases. Now check whether nonexistent headers # can be detected and how. - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include _ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes -fi -if test -z "$ac_cpp_err"; then +if ac_fn_c_try_cpp "$LINENO"; then : # Broken: success on invalid input. continue else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - # Passes both tests. ac_preproc_ok=: break fi -rm -f conftest.err conftest.$ac_ext +rm -f conftest.err conftest.i conftest.$ac_ext done # Because of `break', _AC_PREPROC_IFELSE's cleaning code was skipped. -rm -f conftest.err conftest.$ac_ext -if $ac_preproc_ok; then - : +rm -f conftest.i conftest.err conftest.$ac_ext +if $ac_preproc_ok; then : + else - { { echo "$as_me:$LINENO: error: C preprocessor \"$CPP\" fails sanity check -See \`config.log' for more details." >&5 -echo "$as_me: error: C preprocessor \"$CPP\" fails sanity check -See \`config.log' for more details." >&2;} - { (exit 1); exit 1; }; } + { { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error $? "C preprocessor \"$CPP\" fails sanity check +See \`config.log' for more details" "$LINENO" 5; } fi ac_ext=c @@ -2699,31 +3420,142 @@ ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $ ac_compiler_gnu=$ac_cv_c_compiler_gnu -echo "$as_me:$LINENO: checking for egrep" >&5 -echo $ECHO_N "checking for egrep... $ECHO_C" >&6 -if test "${ac_cv_prog_egrep+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for grep that handles long lines and -e" >&5 +$as_echo_n "checking for grep that handles long lines and -e... " >&6; } +if ${ac_cv_path_GREP+:} false; then : + $as_echo_n "(cached) " >&6 else - if echo a | (grep -E '(a|b)') >/dev/null 2>&1 - then ac_cv_prog_egrep='grep -E' - else ac_cv_prog_egrep='egrep' + if test -z "$GREP"; then + ac_path_GREP_found=false + # Loop through the user's path and test for each of PROGNAME-LIST + as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH$PATH_SEPARATOR/usr/xpg4/bin +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_prog in grep ggrep; do + for ac_exec_ext in '' $ac_executable_extensions; do + ac_path_GREP="$as_dir/$ac_prog$ac_exec_ext" + as_fn_executable_p "$ac_path_GREP" || continue +# Check for GNU ac_path_GREP and select it if it is found. + # Check for GNU $ac_path_GREP +case `"$ac_path_GREP" --version 2>&1` in +*GNU*) + ac_cv_path_GREP="$ac_path_GREP" ac_path_GREP_found=:;; +*) + ac_count=0 + $as_echo_n 0123456789 >"conftest.in" + while : + do + cat "conftest.in" "conftest.in" >"conftest.tmp" + mv "conftest.tmp" "conftest.in" + cp "conftest.in" "conftest.nl" + $as_echo 'GREP' >> "conftest.nl" + "$ac_path_GREP" -e 'GREP$' -e '-(cannot match)-' < "conftest.nl" >"conftest.out" 2>/dev/null || break + diff "conftest.out" "conftest.nl" >/dev/null 2>&1 || break + as_fn_arith $ac_count + 1 && ac_count=$as_val + if test $ac_count -gt ${ac_path_GREP_max-0}; then + # Best one so far, save it but keep looking for a better one + ac_cv_path_GREP="$ac_path_GREP" + ac_path_GREP_max=$ac_count fi + # 10*(2^10) chars as input seems more than enough + test $ac_count -gt 10 && break + done + rm -f conftest.in conftest.tmp conftest.nl conftest.out;; +esac + + $ac_path_GREP_found && break 3 + done + done + done +IFS=$as_save_IFS + if test -z "$ac_cv_path_GREP"; then + as_fn_error $? "no acceptable grep could be found in $PATH$PATH_SEPARATOR/usr/xpg4/bin" "$LINENO" 5 + fi +else + ac_cv_path_GREP=$GREP +fi + fi -echo "$as_me:$LINENO: result: $ac_cv_prog_egrep" >&5 -echo "${ECHO_T}$ac_cv_prog_egrep" >&6 - EGREP=$ac_cv_prog_egrep +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_path_GREP" >&5 +$as_echo "$ac_cv_path_GREP" >&6; } + GREP="$ac_cv_path_GREP" -echo "$as_me:$LINENO: checking for ANSI C header files" >&5 -echo $ECHO_N "checking for ANSI C header files... $ECHO_C" >&6 -if test "${ac_cv_header_stdc+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for egrep" >&5 +$as_echo_n "checking for egrep... " >&6; } +if ${ac_cv_path_EGREP+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + if echo a | $GREP -E '(a|b)' >/dev/null 2>&1 + then ac_cv_path_EGREP="$GREP -E" + else + if test -z "$EGREP"; then + ac_path_EGREP_found=false + # Loop through the user's path and test for each of PROGNAME-LIST + as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH$PATH_SEPARATOR/usr/xpg4/bin +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_prog in egrep; do + for ac_exec_ext in '' $ac_executable_extensions; do + ac_path_EGREP="$as_dir/$ac_prog$ac_exec_ext" + as_fn_executable_p "$ac_path_EGREP" || continue +# Check for GNU ac_path_EGREP and select it if it is found. + # Check for GNU $ac_path_EGREP +case `"$ac_path_EGREP" --version 2>&1` in +*GNU*) + ac_cv_path_EGREP="$ac_path_EGREP" ac_path_EGREP_found=:;; +*) + ac_count=0 + $as_echo_n 0123456789 >"conftest.in" + while : + do + cat "conftest.in" "conftest.in" >"conftest.tmp" + mv "conftest.tmp" "conftest.in" + cp "conftest.in" "conftest.nl" + $as_echo 'EGREP' >> "conftest.nl" + "$ac_path_EGREP" 'EGREP$' < "conftest.nl" >"conftest.out" 2>/dev/null || break + diff "conftest.out" "conftest.nl" >/dev/null 2>&1 || break + as_fn_arith $ac_count + 1 && ac_count=$as_val + if test $ac_count -gt ${ac_path_EGREP_max-0}; then + # Best one so far, save it but keep looking for a better one + ac_cv_path_EGREP="$ac_path_EGREP" + ac_path_EGREP_max=$ac_count + fi + # 10*(2^10) chars as input seems more than enough + test $ac_count -gt 10 && break + done + rm -f conftest.in conftest.tmp conftest.nl conftest.out;; +esac + + $ac_path_EGREP_found && break 3 + done + done + done +IFS=$as_save_IFS + if test -z "$ac_cv_path_EGREP"; then + as_fn_error $? "no acceptable egrep could be found in $PATH$PATH_SEPARATOR/usr/xpg4/bin" "$LINENO" 5 + fi +else + ac_cv_path_EGREP=$EGREP +fi + + fi +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_path_EGREP" >&5 +$as_echo "$ac_cv_path_EGREP" >&6; } + EGREP="$ac_cv_path_EGREP" + + +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for ANSI C header files" >&5 +$as_echo_n "checking for ANSI C header files... " >&6; } +if ${ac_cv_header_stdc+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include #include @@ -2738,51 +3570,23 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : ac_cv_header_stdc=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_header_stdc=no + ac_cv_header_stdc=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext if test $ac_cv_header_stdc = yes; then # SunOS 4.x string.h does not declare mem*, contrary to ANSI. - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include _ACEOF if (eval "$ac_cpp conftest.$ac_ext") 2>&5 | - $EGREP "memchr" >/dev/null 2>&1; then - : + $EGREP "memchr" >/dev/null 2>&1; then : + else ac_cv_header_stdc=no fi @@ -2792,18 +3596,14 @@ fi if test $ac_cv_header_stdc = yes; then # ISC 2.0.2 stdlib.h does not declare free, contrary to ANSI. - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include _ACEOF if (eval "$ac_cpp conftest.$ac_ext") 2>&5 | - $EGREP "free" >/dev/null 2>&1; then - : + $EGREP "free" >/dev/null 2>&1; then : + else ac_cv_header_stdc=no fi @@ -2813,16 +3613,13 @@ fi if test $ac_cv_header_stdc = yes; then # /bin/cc in Irix-4.0.5 gets non-ANSI ctype macros unless using -ansi. - if test "$cross_compiling" = yes; then + if test "$cross_compiling" = yes; then : : else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include +#include #if ((' ' & 0x0FF) == 0x020) # define ISLOWER(c) ('a' <= (c) && (c) <= 'z') # define TOUPPER(c) (ISLOWER(c) ? 'A' + ((c) - 'a') : (c)) @@ -2842,109 +3639,39 @@ main () for (i = 0; i < 256; i++) if (XOR (islower (i), ISLOWER (i)) || toupper (i) != TOUPPER (i)) - exit(2); - exit (0); + return 2; + return 0; } _ACEOF -rm -f conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && { ac_try='./conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - : -else - echo "$as_me: program exited with status $ac_status" >&5 -echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 +if ac_fn_c_try_run "$LINENO"; then : -( exit $ac_status ) -ac_cv_header_stdc=no +else + ac_cv_header_stdc=no fi -rm -f core *.core gmon.out bb.out conftest$ac_exeext conftest.$ac_objext conftest.$ac_ext +rm -f core *.core core.conftest.* gmon.out bb.out conftest$ac_exeext \ + conftest.$ac_objext conftest.beam conftest.$ac_ext fi + fi fi -echo "$as_me:$LINENO: result: $ac_cv_header_stdc" >&5 -echo "${ECHO_T}$ac_cv_header_stdc" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_header_stdc" >&5 +$as_echo "$ac_cv_header_stdc" >&6; } if test $ac_cv_header_stdc = yes; then -cat >>confdefs.h <<\_ACEOF -#define STDC_HEADERS 1 -_ACEOF +$as_echo "#define STDC_HEADERS 1" >>confdefs.h fi # On IRIX 5.3, sys/types and inttypes.h are conflicting. - - - - - - - - - for ac_header in sys/types.h sys/stat.h stdlib.h string.h memory.h strings.h \ inttypes.h stdint.h unistd.h -do -as_ac_Header=`echo "ac_cv_header_$ac_header" | $as_tr_sh` -echo "$as_me:$LINENO: checking for $ac_header" >&5 -echo $ECHO_N "checking for $ac_header... $ECHO_C" >&6 -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default - -#include <$ac_header> -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - eval "$as_ac_Header=yes" -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -eval "$as_ac_Header=no" -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_Header'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_Header'}'`" >&6 -if test `eval echo '${'$as_ac_Header'}'` = yes; then +do : + as_ac_Header=`$as_echo "ac_cv_header_$ac_header" | $as_tr_sh` +ac_fn_c_check_header_compile "$LINENO" "$ac_header" "$as_ac_Header" "$ac_includes_default +" +if eval test \"x\$"$as_ac_Header"\" = x"yes"; then : cat >>confdefs.h <<_ACEOF -#define `echo "HAVE_$ac_header" | $as_tr_cpp` 1 +#define `$as_echo "HAVE_$ac_header" | $as_tr_cpp` 1 _ACEOF fi @@ -2953,17 +3680,13 @@ done - echo "$as_me:$LINENO: checking dirent.h" >&5 -echo $ECHO_N "checking dirent.h... $ECHO_C" >&6 -if test "${tcl_cv_dirent_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking dirent.h" >&5 +$as_echo_n "checking dirent.h... " >&6; } +if ${tcl_cv_dirent_h+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include #include @@ -2993,1179 +3716,167 @@ closedir(d); return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : tcl_cv_dirent_h=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_dirent_h=no + tcl_cv_dirent_h=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_dirent_h" >&5 -echo "${ECHO_T}$tcl_cv_dirent_h" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_dirent_h" >&5 +$as_echo "$tcl_cv_dirent_h" >&6; } if test $tcl_cv_dirent_h = no; then -cat >>confdefs.h <<\_ACEOF -#define NO_DIRENT_H 1 -_ACEOF +$as_echo "#define NO_DIRENT_H 1" >>confdefs.h fi - if test "${ac_cv_header_float_h+set}" = set; then - echo "$as_me:$LINENO: checking for float.h" >&5 -echo $ECHO_N "checking for float.h... $ECHO_C" >&6 -if test "${ac_cv_header_float_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -fi -echo "$as_me:$LINENO: result: $ac_cv_header_float_h" >&5 -echo "${ECHO_T}$ac_cv_header_float_h" >&6 -else - # Is the header compilable? -echo "$as_me:$LINENO: checking float.h usability" >&5 -echo $ECHO_N "checking float.h usability... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -#include -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_header_compiler=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_header_compiler=no -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_compiler" >&5 -echo "${ECHO_T}$ac_header_compiler" >&6 + ac_fn_c_check_header_mongrel "$LINENO" "float.h" "ac_cv_header_float_h" "$ac_includes_default" +if test "x$ac_cv_header_float_h" = xyes; then : -# Is the header present? -echo "$as_me:$LINENO: checking float.h presence" >&5 -echo $ECHO_N "checking float.h presence... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include -_ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes -fi -if test -z "$ac_cpp_err"; then - ac_header_preproc=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - - ac_header_preproc=no -fi -rm -f conftest.err conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_preproc" >&5 -echo "${ECHO_T}$ac_header_preproc" >&6 -# So? What about this header? -case $ac_header_compiler:$ac_header_preproc:$ac_c_preproc_warn_flag in - yes:no: ) - { echo "$as_me:$LINENO: WARNING: float.h: accepted by the compiler, rejected by the preprocessor!" >&5 -echo "$as_me: WARNING: float.h: accepted by the compiler, rejected by the preprocessor!" >&2;} - { echo "$as_me:$LINENO: WARNING: float.h: proceeding with the compiler's result" >&5 -echo "$as_me: WARNING: float.h: proceeding with the compiler's result" >&2;} - ac_header_preproc=yes - ;; - no:yes:* ) - { echo "$as_me:$LINENO: WARNING: float.h: present but cannot be compiled" >&5 -echo "$as_me: WARNING: float.h: present but cannot be compiled" >&2;} - { echo "$as_me:$LINENO: WARNING: float.h: check for missing prerequisite headers?" >&5 -echo "$as_me: WARNING: float.h: check for missing prerequisite headers?" >&2;} - { echo "$as_me:$LINENO: WARNING: float.h: see the Autoconf documentation" >&5 -echo "$as_me: WARNING: float.h: see the Autoconf documentation" >&2;} - { echo "$as_me:$LINENO: WARNING: float.h: section \"Present But Cannot Be Compiled\"" >&5 -echo "$as_me: WARNING: float.h: section \"Present But Cannot Be Compiled\"" >&2;} - { echo "$as_me:$LINENO: WARNING: float.h: proceeding with the preprocessor's result" >&5 -echo "$as_me: WARNING: float.h: proceeding with the preprocessor's result" >&2;} - { echo "$as_me:$LINENO: WARNING: float.h: in the future, the compiler will take precedence" >&5 -echo "$as_me: WARNING: float.h: in the future, the compiler will take precedence" >&2;} - ( - cat <<\_ASBOX -## ------------------------------ ## -## Report this to the tcl lists. ## -## ------------------------------ ## -_ASBOX - ) | - sed "s/^/$as_me: WARNING: /" >&2 - ;; -esac -echo "$as_me:$LINENO: checking for float.h" >&5 -echo $ECHO_N "checking for float.h... $ECHO_C" >&6 -if test "${ac_cv_header_float_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - ac_cv_header_float_h=$ac_header_preproc -fi -echo "$as_me:$LINENO: result: $ac_cv_header_float_h" >&5 -echo "${ECHO_T}$ac_cv_header_float_h" >&6 +$as_echo "#define NO_FLOAT_H 1" >>confdefs.h fi -if test $ac_cv_header_float_h = yes; then - : -else -cat >>confdefs.h <<\_ACEOF -#define NO_FLOAT_H 1 -_ACEOF - -fi + ac_fn_c_check_header_mongrel "$LINENO" "values.h" "ac_cv_header_values_h" "$ac_includes_default" +if test "x$ac_cv_header_values_h" = xyes; then : - if test "${ac_cv_header_values_h+set}" = set; then - echo "$as_me:$LINENO: checking for values.h" >&5 -echo $ECHO_N "checking for values.h... $ECHO_C" >&6 -if test "${ac_cv_header_values_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -fi -echo "$as_me:$LINENO: result: $ac_cv_header_values_h" >&5 -echo "${ECHO_T}$ac_cv_header_values_h" >&6 else - # Is the header compilable? -echo "$as_me:$LINENO: checking values.h usability" >&5 -echo $ECHO_N "checking values.h usability... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -#include -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_header_compiler=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 -ac_header_compiler=no -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_compiler" >&5 -echo "${ECHO_T}$ac_header_compiler" >&6 +$as_echo "#define NO_VALUES_H 1" >>confdefs.h -# Is the header present? -echo "$as_me:$LINENO: checking values.h presence" >&5 -echo $ECHO_N "checking values.h presence... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include -_ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes fi -if test -z "$ac_cpp_err"; then - ac_header_preproc=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - ac_header_preproc=no -fi -rm -f conftest.err conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_preproc" >&5 -echo "${ECHO_T}$ac_header_preproc" >&6 -# So? What about this header? -case $ac_header_compiler:$ac_header_preproc:$ac_c_preproc_warn_flag in - yes:no: ) - { echo "$as_me:$LINENO: WARNING: values.h: accepted by the compiler, rejected by the preprocessor!" >&5 -echo "$as_me: WARNING: values.h: accepted by the compiler, rejected by the preprocessor!" >&2;} - { echo "$as_me:$LINENO: WARNING: values.h: proceeding with the compiler's result" >&5 -echo "$as_me: WARNING: values.h: proceeding with the compiler's result" >&2;} - ac_header_preproc=yes - ;; - no:yes:* ) - { echo "$as_me:$LINENO: WARNING: values.h: present but cannot be compiled" >&5 -echo "$as_me: WARNING: values.h: present but cannot be compiled" >&2;} - { echo "$as_me:$LINENO: WARNING: values.h: check for missing prerequisite headers?" >&5 -echo "$as_me: WARNING: values.h: check for missing prerequisite headers?" >&2;} - { echo "$as_me:$LINENO: WARNING: values.h: see the Autoconf documentation" >&5 -echo "$as_me: WARNING: values.h: see the Autoconf documentation" >&2;} - { echo "$as_me:$LINENO: WARNING: values.h: section \"Present But Cannot Be Compiled\"" >&5 -echo "$as_me: WARNING: values.h: section \"Present But Cannot Be Compiled\"" >&2;} - { echo "$as_me:$LINENO: WARNING: values.h: proceeding with the preprocessor's result" >&5 -echo "$as_me: WARNING: values.h: proceeding with the preprocessor's result" >&2;} - { echo "$as_me:$LINENO: WARNING: values.h: in the future, the compiler will take precedence" >&5 -echo "$as_me: WARNING: values.h: in the future, the compiler will take precedence" >&2;} - ( - cat <<\_ASBOX -## ------------------------------ ## -## Report this to the tcl lists. ## -## ------------------------------ ## -_ASBOX - ) | - sed "s/^/$as_me: WARNING: /" >&2 - ;; -esac -echo "$as_me:$LINENO: checking for values.h" >&5 -echo $ECHO_N "checking for values.h... $ECHO_C" >&6 -if test "${ac_cv_header_values_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + ac_fn_c_check_header_mongrel "$LINENO" "stdlib.h" "ac_cv_header_stdlib_h" "$ac_includes_default" +if test "x$ac_cv_header_stdlib_h" = xyes; then : + tcl_ok=1 else - ac_cv_header_values_h=$ac_header_preproc + tcl_ok=0 fi -echo "$as_me:$LINENO: result: $ac_cv_header_values_h" >&5 -echo "${ECHO_T}$ac_cv_header_values_h" >&6 -fi -if test $ac_cv_header_values_h = yes; then - : -else -cat >>confdefs.h <<\_ACEOF -#define NO_VALUES_H 1 + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include + _ACEOF +if (eval "$ac_cpp conftest.$ac_ext") 2>&5 | + $EGREP "strtol" >/dev/null 2>&1; then : +else + tcl_ok=0 fi +rm -f conftest* - - if test "${ac_cv_header_stdlib_h+set}" = set; then - echo "$as_me:$LINENO: checking for stdlib.h" >&5 -echo $ECHO_N "checking for stdlib.h... $ECHO_C" >&6 -if test "${ac_cv_header_stdlib_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -fi -echo "$as_me:$LINENO: result: $ac_cv_header_stdlib_h" >&5 -echo "${ECHO_T}$ac_cv_header_stdlib_h" >&6 -else - # Is the header compilable? 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- echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_header_compiler=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 +if (eval "$ac_cpp conftest.$ac_ext") 2>&5 | + $EGREP "strtoul" >/dev/null 2>&1; then : -ac_header_compiler=no +else + tcl_ok=0 fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_compiler" >&5 -echo "${ECHO_T}$ac_header_compiler" >&6 +rm -f conftest* -# Is the header present? -echo "$as_me:$LINENO: checking stdlib.h presence" >&5 -echo $ECHO_N "checking stdlib.h presence... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include + _ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? 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What about this header? -case $ac_header_compiler:$ac_header_preproc:$ac_c_preproc_warn_flag in - yes:no: ) - { echo "$as_me:$LINENO: WARNING: stdlib.h: accepted by the compiler, rejected by the preprocessor!" >&5 -echo "$as_me: WARNING: stdlib.h: accepted by the compiler, rejected by the preprocessor!" >&2;} - { echo "$as_me:$LINENO: WARNING: stdlib.h: proceeding with the compiler's result" >&5 -echo "$as_me: WARNING: stdlib.h: proceeding with the compiler's result" >&2;} - ac_header_preproc=yes - ;; - no:yes:* ) - { echo "$as_me:$LINENO: WARNING: stdlib.h: present but cannot be compiled" >&5 -echo "$as_me: WARNING: stdlib.h: present but cannot be compiled" >&2;} - { echo "$as_me:$LINENO: WARNING: stdlib.h: check for missing prerequisite headers?" >&5 -echo "$as_me: WARNING: stdlib.h: check for missing prerequisite headers?" >&2;} - { echo "$as_me:$LINENO: WARNING: stdlib.h: see the Autoconf documentation" >&5 -echo "$as_me: WARNING: stdlib.h: see the Autoconf documentation" >&2;} - { echo "$as_me:$LINENO: WARNING: stdlib.h: section \"Present But Cannot Be Compiled\"" >&5 -echo "$as_me: WARNING: stdlib.h: section \"Present But Cannot Be Compiled\"" >&2;} - { echo "$as_me:$LINENO: WARNING: stdlib.h: proceeding with the preprocessor's result" >&5 -echo "$as_me: WARNING: stdlib.h: proceeding with the preprocessor's result" >&2;} - { echo "$as_me:$LINENO: WARNING: stdlib.h: in the future, the compiler will take precedence" >&5 -echo "$as_me: WARNING: stdlib.h: in the future, the compiler will take precedence" >&2;} - ( - cat <<\_ASBOX -## ------------------------------ ## -## Report this to the tcl lists. ## -## ------------------------------ ## -_ASBOX - ) | - sed "s/^/$as_me: WARNING: /" >&2 - ;; -esac -echo "$as_me:$LINENO: checking for stdlib.h" >&5 -echo $ECHO_N "checking for stdlib.h... $ECHO_C" >&6 -if test "${ac_cv_header_stdlib_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - ac_cv_header_stdlib_h=$ac_header_preproc -fi -echo "$as_me:$LINENO: result: $ac_cv_header_stdlib_h" >&5 -echo "${ECHO_T}$ac_cv_header_stdlib_h" >&6 +$as_echo "#define NO_STDLIB_H 1" >>confdefs.h -fi -if test $ac_cv_header_stdlib_h = yes; then + fi + ac_fn_c_check_header_mongrel "$LINENO" "string.h" "ac_cv_header_string_h" "$ac_includes_default" +if test "x$ac_cv_header_string_h" = xyes; then : tcl_ok=1 else tcl_ok=0 fi - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -#include +#include _ACEOF if (eval "$ac_cpp conftest.$ac_ext") 2>&5 | - $EGREP "strtol" >/dev/null 2>&1; then - : + $EGREP "strstr" >/dev/null 2>&1; then : + else tcl_ok=0 fi rm -f conftest* - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -#include +#include _ACEOF if (eval "$ac_cpp conftest.$ac_ext") 2>&5 | - $EGREP "strtoul" >/dev/null 2>&1; then - : + $EGREP "strerror" >/dev/null 2>&1; then : + else tcl_ok=0 fi rm -f conftest* - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include -_ACEOF -if (eval "$ac_cpp conftest.$ac_ext") 2>&5 | - $EGREP "strtod" >/dev/null 2>&1; then - : -else - tcl_ok=0 -fi -rm -f conftest* + # See also memmove check below for a place where NO_STRING_H can be + # set and why. if test $tcl_ok = 0; then -cat >>confdefs.h <<\_ACEOF -#define NO_STDLIB_H 1 -_ACEOF - - fi - if test "${ac_cv_header_string_h+set}" = set; then - echo "$as_me:$LINENO: checking for string.h" >&5 -echo $ECHO_N "checking for string.h... $ECHO_C" >&6 -if test "${ac_cv_header_string_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -fi -echo "$as_me:$LINENO: result: $ac_cv_header_string_h" >&5 -echo "${ECHO_T}$ac_cv_header_string_h" >&6 -else - # Is the header compilable? 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-echo "$as_me:$LINENO: checking dlfcn.h usability" >&5 -echo $ECHO_N "checking dlfcn.h usability... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -#include -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_header_compiler=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 -ac_header_compiler=no -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_compiler" >&5 -echo "${ECHO_T}$ac_header_compiler" >&6 +$as_echo "#define NO_SYS_WAIT_H 1" >>confdefs.h -# Is the header present? -echo "$as_me:$LINENO: checking dlfcn.h presence" >&5 -echo $ECHO_N "checking dlfcn.h presence... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include -_ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes fi -if test -z "$ac_cpp_err"; then - ac_header_preproc=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - ac_header_preproc=no -fi -rm -f conftest.err conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_preproc" >&5 -echo "${ECHO_T}$ac_header_preproc" >&6 -# So? What about this header? -case $ac_header_compiler:$ac_header_preproc:$ac_c_preproc_warn_flag in - yes:no: ) - { echo "$as_me:$LINENO: WARNING: dlfcn.h: accepted by the compiler, rejected by the preprocessor!" >&5 -echo "$as_me: WARNING: dlfcn.h: accepted by the compiler, rejected by the preprocessor!" >&2;} - { echo "$as_me:$LINENO: WARNING: dlfcn.h: proceeding with the compiler's result" >&5 -echo "$as_me: WARNING: dlfcn.h: proceeding with the compiler's result" >&2;} - ac_header_preproc=yes - ;; - no:yes:* ) - { echo "$as_me:$LINENO: WARNING: dlfcn.h: present but cannot be compiled" >&5 -echo "$as_me: WARNING: dlfcn.h: present but cannot be compiled" >&2;} - { echo "$as_me:$LINENO: WARNING: dlfcn.h: check for missing prerequisite headers?" >&5 -echo "$as_me: WARNING: dlfcn.h: check for missing prerequisite headers?" >&2;} - { echo "$as_me:$LINENO: WARNING: dlfcn.h: see the Autoconf documentation" >&5 -echo "$as_me: WARNING: dlfcn.h: see the Autoconf documentation" >&2;} - { echo "$as_me:$LINENO: WARNING: dlfcn.h: section \"Present But Cannot Be Compiled\"" >&5 -echo "$as_me: WARNING: dlfcn.h: section \"Present But Cannot Be Compiled\"" >&2;} - { echo "$as_me:$LINENO: WARNING: dlfcn.h: proceeding with the preprocessor's result" >&5 -echo "$as_me: WARNING: dlfcn.h: proceeding with the preprocessor's result" >&2;} - { echo "$as_me:$LINENO: WARNING: dlfcn.h: in the future, the compiler will take precedence" >&5 -echo "$as_me: WARNING: dlfcn.h: in the future, the compiler will take precedence" >&2;} - ( - cat <<\_ASBOX -## ------------------------------ ## -## Report this to the tcl lists. ## -## ------------------------------ ## -_ASBOX - ) | - sed "s/^/$as_me: WARNING: /" >&2 - ;; -esac -echo "$as_me:$LINENO: checking for dlfcn.h" >&5 -echo $ECHO_N "checking for dlfcn.h... $ECHO_C" >&6 -if test "${ac_cv_header_dlfcn_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - ac_cv_header_dlfcn_h=$ac_header_preproc -fi -echo "$as_me:$LINENO: result: $ac_cv_header_dlfcn_h" >&5 -echo "${ECHO_T}$ac_cv_header_dlfcn_h" >&6 + ac_fn_c_check_header_mongrel "$LINENO" "dlfcn.h" "ac_cv_header_dlfcn_h" "$ac_includes_default" +if test "x$ac_cv_header_dlfcn_h" = xyes; then : -fi -if test $ac_cv_header_dlfcn_h = yes; then - : else -cat >>confdefs.h <<\_ACEOF -#define NO_DLFCN_H 1 -_ACEOF +$as_echo "#define NO_DLFCN_H 1" >>confdefs.h fi # OS/390 lacks sys/param.h (and doesn't need it, by chance). - -for ac_header in sys/param.h -do -as_ac_Header=`echo "ac_cv_header_$ac_header" | $as_tr_sh` -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo "$as_me:$LINENO: checking for $ac_header" >&5 -echo $ECHO_N "checking for $ac_header... $ECHO_C" >&6 -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_Header'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_Header'}'`" >&6 -else - # Is the header compilable? -echo "$as_me:$LINENO: checking $ac_header usability" >&5 -echo $ECHO_N "checking $ac_header usability... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -#include <$ac_header> -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_header_compiler=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_header_compiler=no -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_compiler" >&5 -echo "${ECHO_T}$ac_header_compiler" >&6 - -# Is the header present? -echo "$as_me:$LINENO: checking $ac_header presence" >&5 -echo $ECHO_N "checking $ac_header presence... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include <$ac_header> -_ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes -fi -if test -z "$ac_cpp_err"; then - ac_header_preproc=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - - ac_header_preproc=no -fi -rm -f conftest.err conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_preproc" >&5 -echo "${ECHO_T}$ac_header_preproc" >&6 - -# So? What about this header? -case $ac_header_compiler:$ac_header_preproc:$ac_c_preproc_warn_flag in - yes:no: ) - { echo "$as_me:$LINENO: WARNING: $ac_header: accepted by the compiler, rejected by the preprocessor!" >&5 -echo "$as_me: WARNING: $ac_header: accepted by the compiler, rejected by the preprocessor!" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: proceeding with the compiler's result" >&5 -echo "$as_me: WARNING: $ac_header: proceeding with the compiler's result" >&2;} - ac_header_preproc=yes - ;; - no:yes:* ) - { echo "$as_me:$LINENO: WARNING: $ac_header: present but cannot be compiled" >&5 -echo "$as_me: WARNING: $ac_header: present but cannot be compiled" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: check for missing prerequisite headers?" >&5 -echo "$as_me: WARNING: $ac_header: check for missing prerequisite headers?" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: see the Autoconf documentation" >&5 -echo "$as_me: WARNING: $ac_header: see the Autoconf documentation" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: section \"Present But Cannot Be Compiled\"" >&5 -echo "$as_me: WARNING: $ac_header: section \"Present But Cannot Be Compiled\"" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: proceeding with the preprocessor's result" >&5 -echo "$as_me: WARNING: $ac_header: proceeding with the preprocessor's result" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: in the future, the compiler will take precedence" >&5 -echo "$as_me: WARNING: $ac_header: in the future, the compiler will take precedence" >&2;} - ( - cat <<\_ASBOX -## ------------------------------ ## -## Report this to the tcl lists. ## -## ------------------------------ ## -_ASBOX - ) | - sed "s/^/$as_me: WARNING: /" >&2 - ;; -esac -echo "$as_me:$LINENO: checking for $ac_header" >&5 -echo $ECHO_N "checking for $ac_header... $ECHO_C" >&6 -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - eval "$as_ac_Header=\$ac_header_preproc" -fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_Header'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_Header'}'`" >&6 - -fi -if test `eval echo '${'$as_ac_Header'}'` = yes; then + for ac_header in sys/param.h +do : + ac_fn_c_check_header_mongrel "$LINENO" "sys/param.h" "ac_cv_header_sys_param_h" "$ac_includes_default" +if test "x$ac_cv_header_sys_param_h" = xyes; then : cat >>confdefs.h <<_ACEOF -#define `echo "HAVE_$ac_header" | $as_tr_cpp` 1 +#define HAVE_SYS_PARAM_H 1 _ACEOF fi @@ -4186,18 +3897,14 @@ done #------------------------------------------------------------------------ if test -z "$no_pipe" && test -n "$GCC"; then - echo "$as_me:$LINENO: checking if the compiler understands -pipe" >&5 -echo $ECHO_N "checking if the compiler understands -pipe... $ECHO_C" >&6 -if test "${tcl_cv_cc_pipe+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if the compiler understands -pipe" >&5 +$as_echo_n "checking if the compiler understands -pipe... " >&6; } +if ${tcl_cv_cc_pipe+:} false; then : + $as_echo_n "(cached) " >&6 else hold_cflags=$CFLAGS; CFLAGS="$CFLAGS -pipe" - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -4208,40 +3915,16 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_cc_pipe=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_cc_pipe=no + tcl_cv_cc_pipe=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext CFLAGS=$hold_cflags fi -echo "$as_me:$LINENO: result: $tcl_cv_cc_pipe" >&5 -echo "${ECHO_T}$tcl_cv_cc_pipe" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_cc_pipe" >&5 +$as_echo "$tcl_cv_cc_pipe" >&6; } if test $tcl_cv_cc_pipe = yes; then CFLAGS="$CFLAGS -pipe" fi @@ -4252,13 +3935,13 @@ fi #------------------------------------------------------------------------ - # Check whether --enable-threads or --disable-threads was given. -if test "${enable_threads+set}" = set; then - enableval="$enable_threads" - tcl_ok=$enableval + # Check whether --enable-threads was given. +if test "${enable_threads+set}" = set; then : + enableval=$enable_threads; tcl_ok=$enableval else tcl_ok=yes -fi; +fi + if test "${TCL_THREADS}" = 1; then tcl_threaded_core=1; @@ -4269,92 +3952,56 @@ fi; # USE_THREAD_ALLOC tells us to try the special thread-based # allocator that significantly reduces lock contention -cat >>confdefs.h <<\_ACEOF -#define USE_THREAD_ALLOC 1 -_ACEOF +$as_echo "#define USE_THREAD_ALLOC 1" >>confdefs.h -cat >>confdefs.h <<\_ACEOF -#define _REENTRANT 1 -_ACEOF +$as_echo "#define _REENTRANT 1" >>confdefs.h if test "`uname -s`" = "SunOS" ; then -cat >>confdefs.h <<\_ACEOF -#define _POSIX_PTHREAD_SEMANTICS 1 -_ACEOF +$as_echo "#define _POSIX_PTHREAD_SEMANTICS 1" >>confdefs.h fi -cat >>confdefs.h <<\_ACEOF -#define _THREAD_SAFE 1 -_ACEOF +$as_echo "#define _THREAD_SAFE 1" >>confdefs.h - echo "$as_me:$LINENO: checking for pthread_mutex_init in -lpthread" >&5 -echo $ECHO_N "checking for pthread_mutex_init in -lpthread... $ECHO_C" >&6 -if test "${ac_cv_lib_pthread_pthread_mutex_init+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for pthread_mutex_init in -lpthread" >&5 +$as_echo_n "checking for pthread_mutex_init in -lpthread... " >&6; } +if ${ac_cv_lib_pthread_pthread_mutex_init+:} false; then : + $as_echo_n "(cached) " >&6 else ac_check_lib_save_LIBS=$LIBS LIBS="-lpthread $LIBS" -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -/* Override any gcc2 internal prototype to avoid an error. */ +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ #ifdef __cplusplus extern "C" #endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ char pthread_mutex_init (); int main () { -pthread_mutex_init (); +return pthread_mutex_init (); ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : ac_cv_lib_pthread_pthread_mutex_init=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_lib_pthread_pthread_mutex_init=no + ac_cv_lib_pthread_pthread_mutex_init=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext LIBS=$ac_check_lib_save_LIBS fi -echo "$as_me:$LINENO: result: $ac_cv_lib_pthread_pthread_mutex_init" >&5 -echo "${ECHO_T}$ac_cv_lib_pthread_pthread_mutex_init" >&6 -if test $ac_cv_lib_pthread_pthread_mutex_init = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_pthread_pthread_mutex_init" >&5 +$as_echo "$ac_cv_lib_pthread_pthread_mutex_init" >&6; } +if test "x$ac_cv_lib_pthread_pthread_mutex_init" = xyes; then : tcl_ok=yes else tcl_ok=no @@ -4366,71 +4013,43 @@ fi # defined. We could alternatively do an AC_TRY_COMPILE with # pthread.h, but that will work with libpthread really doesn't # exist, like AIX 4.2. [Bug: 4359] - echo "$as_me:$LINENO: checking for __pthread_mutex_init in -lpthread" >&5 -echo $ECHO_N "checking for __pthread_mutex_init in -lpthread... $ECHO_C" >&6 -if test "${ac_cv_lib_pthread___pthread_mutex_init+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for __pthread_mutex_init in -lpthread" >&5 +$as_echo_n "checking for __pthread_mutex_init in -lpthread... " >&6; } +if ${ac_cv_lib_pthread___pthread_mutex_init+:} false; then : + $as_echo_n "(cached) " >&6 else ac_check_lib_save_LIBS=$LIBS LIBS="-lpthread $LIBS" -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -/* Override any gcc2 internal prototype to avoid an error. */ +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ #ifdef __cplusplus extern "C" #endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ char __pthread_mutex_init (); int main () { -__pthread_mutex_init (); +return __pthread_mutex_init (); ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : ac_cv_lib_pthread___pthread_mutex_init=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_lib_pthread___pthread_mutex_init=no + ac_cv_lib_pthread___pthread_mutex_init=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext LIBS=$ac_check_lib_save_LIBS fi -echo "$as_me:$LINENO: result: $ac_cv_lib_pthread___pthread_mutex_init" >&5 -echo "${ECHO_T}$ac_cv_lib_pthread___pthread_mutex_init" >&6 -if test $ac_cv_lib_pthread___pthread_mutex_init = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_pthread___pthread_mutex_init" >&5 +$as_echo "$ac_cv_lib_pthread___pthread_mutex_init" >&6; } +if test "x$ac_cv_lib_pthread___pthread_mutex_init" = xyes; then : tcl_ok=yes else tcl_ok=no @@ -4442,71 +4061,43 @@ fi # The space is needed THREADS_LIBS=" -lpthread" else - echo "$as_me:$LINENO: checking for pthread_mutex_init in -lpthreads" >&5 -echo $ECHO_N "checking for pthread_mutex_init in -lpthreads... $ECHO_C" >&6 -if test "${ac_cv_lib_pthreads_pthread_mutex_init+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for pthread_mutex_init in -lpthreads" >&5 +$as_echo_n "checking for pthread_mutex_init in -lpthreads... " >&6; } +if ${ac_cv_lib_pthreads_pthread_mutex_init+:} false; then : + $as_echo_n "(cached) " >&6 else ac_check_lib_save_LIBS=$LIBS LIBS="-lpthreads $LIBS" -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -/* Override any gcc2 internal prototype to avoid an error. */ +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ #ifdef __cplusplus extern "C" #endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ char pthread_mutex_init (); int main () { -pthread_mutex_init (); +return pthread_mutex_init (); ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : ac_cv_lib_pthreads_pthread_mutex_init=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_lib_pthreads_pthread_mutex_init=no + ac_cv_lib_pthreads_pthread_mutex_init=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext LIBS=$ac_check_lib_save_LIBS fi -echo "$as_me:$LINENO: result: $ac_cv_lib_pthreads_pthread_mutex_init" >&5 -echo "${ECHO_T}$ac_cv_lib_pthreads_pthread_mutex_init" >&6 -if test $ac_cv_lib_pthreads_pthread_mutex_init = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_pthreads_pthread_mutex_init" >&5 +$as_echo "$ac_cv_lib_pthreads_pthread_mutex_init" >&6; } +if test "x$ac_cv_lib_pthreads_pthread_mutex_init" = xyes; then : tcl_ok=yes else tcl_ok=no @@ -4516,142 +4107,86 @@ fi # The space is needed THREADS_LIBS=" -lpthreads" else - echo "$as_me:$LINENO: checking for pthread_mutex_init in -lc" >&5 -echo $ECHO_N "checking for pthread_mutex_init in -lc... $ECHO_C" >&6 -if test "${ac_cv_lib_c_pthread_mutex_init+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for pthread_mutex_init in -lc" >&5 +$as_echo_n "checking for pthread_mutex_init in -lc... " >&6; } +if ${ac_cv_lib_c_pthread_mutex_init+:} false; then : + $as_echo_n "(cached) " >&6 else ac_check_lib_save_LIBS=$LIBS LIBS="-lc $LIBS" -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -/* Override any gcc2 internal prototype to avoid an error. */ +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ #ifdef __cplusplus extern "C" #endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ char pthread_mutex_init (); int main () { -pthread_mutex_init (); +return pthread_mutex_init (); ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : ac_cv_lib_c_pthread_mutex_init=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_lib_c_pthread_mutex_init=no + ac_cv_lib_c_pthread_mutex_init=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext LIBS=$ac_check_lib_save_LIBS fi -echo "$as_me:$LINENO: result: $ac_cv_lib_c_pthread_mutex_init" >&5 -echo "${ECHO_T}$ac_cv_lib_c_pthread_mutex_init" >&6 -if test $ac_cv_lib_c_pthread_mutex_init = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_c_pthread_mutex_init" >&5 +$as_echo "$ac_cv_lib_c_pthread_mutex_init" >&6; } +if test "x$ac_cv_lib_c_pthread_mutex_init" = xyes; then : tcl_ok=yes else tcl_ok=no fi if test "$tcl_ok" = "no"; then - echo "$as_me:$LINENO: checking for pthread_mutex_init in -lc_r" >&5 -echo $ECHO_N "checking for pthread_mutex_init in -lc_r... $ECHO_C" >&6 -if test "${ac_cv_lib_c_r_pthread_mutex_init+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for pthread_mutex_init in -lc_r" >&5 +$as_echo_n "checking for pthread_mutex_init in -lc_r... " >&6; } +if ${ac_cv_lib_c_r_pthread_mutex_init+:} false; then : + $as_echo_n "(cached) " >&6 else ac_check_lib_save_LIBS=$LIBS LIBS="-lc_r $LIBS" -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -/* Override any gcc2 internal prototype to avoid an error. */ +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ #ifdef __cplusplus extern "C" #endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ char pthread_mutex_init (); int main () { -pthread_mutex_init (); +return pthread_mutex_init (); ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : ac_cv_lib_c_r_pthread_mutex_init=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_lib_c_r_pthread_mutex_init=no + ac_cv_lib_c_r_pthread_mutex_init=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext LIBS=$ac_check_lib_save_LIBS fi -echo "$as_me:$LINENO: result: $ac_cv_lib_c_r_pthread_mutex_init" >&5 -echo "${ECHO_T}$ac_cv_lib_c_r_pthread_mutex_init" >&6 -if test $ac_cv_lib_c_r_pthread_mutex_init = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_c_r_pthread_mutex_init" >&5 +$as_echo "$ac_cv_lib_c_r_pthread_mutex_init" >&6; } +if test "x$ac_cv_lib_c_r_pthread_mutex_init" = xyes; then : tcl_ok=yes else tcl_ok=no @@ -4662,8 +4197,8 @@ fi THREADS_LIBS=" -pthread" else TCL_THREADS=0 - { echo "$as_me:$LINENO: WARNING: Don't know how to find pthread lib on your system - you must disable thread support or edit the LIBS in the Makefile..." >&5 -echo "$as_me: WARNING: Don't know how to find pthread lib on your system - you must disable thread support or edit the LIBS in the Makefile..." >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: Don't know how to find pthread lib on your system - you must disable thread support or edit the LIBS in the Makefile..." >&5 +$as_echo "$as_me: WARNING: Don't know how to find pthread lib on your system - you must disable thread support or edit the LIBS in the Makefile..." >&2;} fi fi fi @@ -4674,104 +4209,13 @@ echo "$as_me: WARNING: Don't know how to find pthread lib on your system - you m ac_saved_libs=$LIBS LIBS="$LIBS $THREADS_LIBS" - - -for ac_func in pthread_attr_setstacksize pthread_atfork -do -as_ac_var=`echo "ac_cv_func_$ac_func" | $as_tr_sh` -echo "$as_me:$LINENO: checking for $ac_func" >&5 -echo $ECHO_N "checking for $ac_func... $ECHO_C" >&6 -if eval "test \"\${$as_ac_var+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define $ac_func to an innocuous variant, in case declares $ac_func. - For example, HP-UX 11i declares gettimeofday. */ -#define $ac_func innocuous_$ac_func - -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char $ac_func (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ - -#ifdef __STDC__ -# include -#else -# include -#endif - -#undef $ac_func - -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char $ac_func (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_$ac_func) || defined (__stub___$ac_func) -choke me -#else -char (*f) () = $ac_func; -#endif -#ifdef __cplusplus -} -#endif - -int -main () -{ -return f != $ac_func; - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - eval "$as_ac_var=yes" -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -eval "$as_ac_var=no" -fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_var'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_var'}'`" >&6 -if test `eval echo '${'$as_ac_var'}'` = yes; then + for ac_func in pthread_attr_setstacksize pthread_atfork +do : + as_ac_var=`$as_echo "ac_cv_func_$ac_func" | $as_tr_sh` +ac_fn_c_check_func "$LINENO" "$ac_func" "$as_ac_var" +if eval test \"x\$"$as_ac_var"\" = x"yes"; then : cat >>confdefs.h <<_ACEOF -#define `echo "HAVE_$ac_func" | $as_tr_cpp` 1 +#define `$as_echo "HAVE_$ac_func" | $as_tr_cpp` 1 _ACEOF fi @@ -4782,24 +4226,22 @@ done TCL_THREADS=0 fi # Do checking message here to not mess up interleaved configure output - echo "$as_me:$LINENO: checking for building with threads" >&5 -echo $ECHO_N "checking for building with threads... $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for building with threads" >&5 +$as_echo_n "checking for building with threads... " >&6; } if test "${TCL_THREADS}" = 1; then -cat >>confdefs.h <<\_ACEOF -#define TCL_THREADS 1 -_ACEOF +$as_echo "#define TCL_THREADS 1" >>confdefs.h if test "${tcl_threaded_core}" = 1; then - echo "$as_me:$LINENO: result: yes (threaded core)" >&5 -echo "${ECHO_T}yes (threaded core)" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: yes (threaded core)" >&5 +$as_echo "yes (threaded core)" >&6; } else - echo "$as_me:$LINENO: result: yes" >&5 -echo "${ECHO_T}yes" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: yes" >&5 +$as_echo "yes" >&6; } fi else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi @@ -4811,11 +4253,11 @@ echo "${ECHO_T}no" >&6 -# Check whether --with-encoding or --without-encoding was given. -if test "${with_encoding+set}" = set; then - withval="$with_encoding" - with_tcencoding=${withval} -fi; +# Check whether --with-encoding was given. +if test "${with_encoding+set}" = set; then : + withval=$with_encoding; with_tcencoding=${withval} +fi + if test x"${with_tcencoding}" != x ; then @@ -4825,9 +4267,7 @@ _ACEOF else -cat >>confdefs.h <<\_ACEOF -#define TCL_CFGVAL_ENCODING "iso8859-1" -_ACEOF +$as_echo "#define TCL_CFGVAL_ENCODING \"iso8859-1\"" >>confdefs.h fi @@ -4844,161 +4284,44 @@ _ACEOF # right (and it must appear before "-lm"). #-------------------------------------------------------------------- - echo "$as_me:$LINENO: checking for sin" >&5 -echo $ECHO_N "checking for sin... $ECHO_C" >&6 -if test "${ac_cv_func_sin+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define sin to an innocuous variant, in case declares sin. - For example, HP-UX 11i declares gettimeofday. */ -#define sin innocuous_sin - -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char sin (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ - -#ifdef __STDC__ -# include -#else -# include -#endif - -#undef sin - -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char sin (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_sin) || defined (__stub___sin) -choke me -#else -char (*f) () = sin; -#endif -#ifdef __cplusplus -} -#endif - -int -main () -{ -return f != sin; - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_func_sin=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_func_sin=no -fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: $ac_cv_func_sin" >&5 -echo "${ECHO_T}$ac_cv_func_sin" >&6 -if test $ac_cv_func_sin = yes; then + ac_fn_c_check_func "$LINENO" "sin" "ac_cv_func_sin" +if test "x$ac_cv_func_sin" = xyes; then : MATH_LIBS="" else MATH_LIBS="-lm" fi - echo "$as_me:$LINENO: checking for main in -lieee" >&5 -echo $ECHO_N "checking for main in -lieee... $ECHO_C" >&6 -if test "${ac_cv_lib_ieee_main+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for main in -lieee" >&5 +$as_echo_n "checking for main in -lieee... " >&6; } +if ${ac_cv_lib_ieee_main+:} false; then : + $as_echo_n "(cached) " >&6 else ac_check_lib_save_LIBS=$LIBS LIBS="-lieee $LIBS" -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int main () { -main (); +return main (); ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : ac_cv_lib_ieee_main=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_lib_ieee_main=no + ac_cv_lib_ieee_main=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext LIBS=$ac_check_lib_save_LIBS fi -echo "$as_me:$LINENO: result: $ac_cv_lib_ieee_main" >&5 -echo "${ECHO_T}$ac_cv_lib_ieee_main" >&6 -if test $ac_cv_lib_ieee_main = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_ieee_main" >&5 +$as_echo "$ac_cv_lib_ieee_main" >&6; } +if test "x$ac_cv_lib_ieee_main" = xyes; then : MATH_LIBS="-lieee $MATH_LIBS" fi @@ -5008,211 +4331,45 @@ fi # needs net/errno.h to define the socket-related error codes. #-------------------------------------------------------------------- - echo "$as_me:$LINENO: checking for main in -linet" >&5 -echo $ECHO_N "checking for main in -linet... $ECHO_C" >&6 -if test "${ac_cv_lib_inet_main+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for main in -linet" >&5 +$as_echo_n "checking for main in -linet... " >&6; } +if ${ac_cv_lib_inet_main+:} false; then : + $as_echo_n "(cached) " >&6 else ac_check_lib_save_LIBS=$LIBS LIBS="-linet $LIBS" -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int main () { -main (); +return main (); ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : ac_cv_lib_inet_main=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_lib_inet_main=no + ac_cv_lib_inet_main=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext LIBS=$ac_check_lib_save_LIBS fi -echo "$as_me:$LINENO: result: $ac_cv_lib_inet_main" >&5 -echo "${ECHO_T}$ac_cv_lib_inet_main" >&6 -if test $ac_cv_lib_inet_main = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_inet_main" >&5 +$as_echo "$ac_cv_lib_inet_main" >&6; } +if test "x$ac_cv_lib_inet_main" = xyes; then : LIBS="$LIBS -linet" fi - if test "${ac_cv_header_net_errno_h+set}" = set; then - echo "$as_me:$LINENO: checking for net/errno.h" >&5 -echo $ECHO_N "checking for net/errno.h... $ECHO_C" >&6 -if test "${ac_cv_header_net_errno_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -fi -echo "$as_me:$LINENO: result: $ac_cv_header_net_errno_h" >&5 -echo "${ECHO_T}$ac_cv_header_net_errno_h" >&6 -else - # Is the header compilable? -echo "$as_me:$LINENO: checking net/errno.h usability" >&5 -echo $ECHO_N "checking net/errno.h usability... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -#include -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_header_compiler=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_header_compiler=no -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_compiler" >&5 -echo "${ECHO_T}$ac_header_compiler" >&6 - -# Is the header present? -echo "$as_me:$LINENO: checking net/errno.h presence" >&5 -echo $ECHO_N "checking net/errno.h presence... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include -_ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes -fi -if test -z "$ac_cpp_err"; then - ac_header_preproc=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - - ac_header_preproc=no -fi -rm -f conftest.err conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_preproc" >&5 -echo "${ECHO_T}$ac_header_preproc" >&6 - -# So? What about this header? -case $ac_header_compiler:$ac_header_preproc:$ac_c_preproc_warn_flag in - yes:no: ) - { echo "$as_me:$LINENO: WARNING: net/errno.h: accepted by the compiler, rejected by the preprocessor!" >&5 -echo "$as_me: WARNING: net/errno.h: accepted by the compiler, rejected by the preprocessor!" >&2;} - { echo "$as_me:$LINENO: WARNING: net/errno.h: proceeding with the compiler's result" >&5 -echo "$as_me: WARNING: net/errno.h: proceeding with the compiler's result" >&2;} - ac_header_preproc=yes - ;; - no:yes:* ) - { echo "$as_me:$LINENO: WARNING: net/errno.h: present but cannot be compiled" >&5 -echo "$as_me: WARNING: net/errno.h: present but cannot be compiled" >&2;} - { echo "$as_me:$LINENO: WARNING: net/errno.h: check for missing prerequisite headers?" >&5 -echo "$as_me: WARNING: net/errno.h: check for missing prerequisite headers?" >&2;} - { echo "$as_me:$LINENO: WARNING: net/errno.h: see the Autoconf documentation" >&5 -echo "$as_me: WARNING: net/errno.h: see the Autoconf documentation" >&2;} - { echo "$as_me:$LINENO: WARNING: net/errno.h: section \"Present But Cannot Be Compiled\"" >&5 -echo "$as_me: WARNING: net/errno.h: section \"Present But Cannot Be Compiled\"" >&2;} - { echo "$as_me:$LINENO: WARNING: net/errno.h: proceeding with the preprocessor's result" >&5 -echo "$as_me: WARNING: net/errno.h: proceeding with the preprocessor's result" >&2;} - { echo "$as_me:$LINENO: WARNING: net/errno.h: in the future, the compiler will take precedence" >&5 -echo "$as_me: WARNING: net/errno.h: in the future, the compiler will take precedence" >&2;} - ( - cat <<\_ASBOX -## ------------------------------ ## -## Report this to the tcl lists. ## -## ------------------------------ ## -_ASBOX - ) | - sed "s/^/$as_me: WARNING: /" >&2 - ;; -esac -echo "$as_me:$LINENO: checking for net/errno.h" >&5 -echo $ECHO_N "checking for net/errno.h... $ECHO_C" >&6 -if test "${ac_cv_header_net_errno_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - ac_cv_header_net_errno_h=$ac_header_preproc -fi -echo "$as_me:$LINENO: result: $ac_cv_header_net_errno_h" >&5 -echo "${ECHO_T}$ac_cv_header_net_errno_h" >&6 - -fi -if test $ac_cv_header_net_errno_h = yes; then + ac_fn_c_check_header_mongrel "$LINENO" "net/errno.h" "ac_cv_header_net_errno_h" "$ac_includes_default" +if test "x$ac_cv_header_net_errno_h" = xyes; then : -cat >>confdefs.h <<\_ACEOF -#define HAVE_NET_ERRNO_H 1 -_ACEOF +$as_echo "#define HAVE_NET_ERRNO_H 1" >>confdefs.h fi @@ -5237,527 +4394,115 @@ fi #-------------------------------------------------------------------- tcl_checkBoth=0 - echo "$as_me:$LINENO: checking for connect" >&5 -echo $ECHO_N "checking for connect... $ECHO_C" >&6 -if test "${ac_cv_func_connect+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + ac_fn_c_check_func "$LINENO" "connect" "ac_cv_func_connect" +if test "x$ac_cv_func_connect" = xyes; then : + tcl_checkSocket=0 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define connect to an innocuous variant, in case declares connect. - For example, HP-UX 11i declares gettimeofday. */ -#define connect innocuous_connect - -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char connect (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ + tcl_checkSocket=1 +fi -#ifdef __STDC__ -# include -#else -# include -#endif + if test "$tcl_checkSocket" = 1; then + ac_fn_c_check_func "$LINENO" "setsockopt" "ac_cv_func_setsockopt" +if test "x$ac_cv_func_setsockopt" = xyes; then : -#undef connect +else + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for setsockopt in -lsocket" >&5 +$as_echo_n "checking for setsockopt in -lsocket... " >&6; } +if ${ac_cv_lib_socket_setsockopt+:} false; then : + $as_echo_n "(cached) " >&6 +else + ac_check_lib_save_LIBS=$LIBS +LIBS="-lsocket $LIBS" +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC builtin and then its argument prototype would still apply. */ -char connect (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_connect) || defined (__stub___connect) -choke me -#else -char (*f) () = connect; -#endif #ifdef __cplusplus -} +extern "C" #endif - +char setsockopt (); int main () { -return f != connect; +return setsockopt (); ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_func_connect=yes +if ac_fn_c_try_link "$LINENO"; then : + ac_cv_lib_socket_setsockopt=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_func_connect=no + ac_cv_lib_socket_setsockopt=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext +LIBS=$ac_check_lib_save_LIBS fi -echo "$as_me:$LINENO: result: $ac_cv_func_connect" >&5 -echo "${ECHO_T}$ac_cv_func_connect" >&6 -if test $ac_cv_func_connect = yes; then - tcl_checkSocket=0 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_socket_setsockopt" >&5 +$as_echo "$ac_cv_lib_socket_setsockopt" >&6; } +if test "x$ac_cv_lib_socket_setsockopt" = xyes; then : + LIBS="$LIBS -lsocket" else - tcl_checkSocket=1 + tcl_checkBoth=1 fi - if test "$tcl_checkSocket" = 1; then - echo "$as_me:$LINENO: checking for setsockopt" >&5 -echo $ECHO_N "checking for setsockopt... $ECHO_C" >&6 -if test "${ac_cv_func_setsockopt+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define setsockopt to an innocuous variant, in case declares setsockopt. - For example, HP-UX 11i declares gettimeofday. */ -#define setsockopt innocuous_setsockopt +fi -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char setsockopt (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ + fi + if test "$tcl_checkBoth" = 1; then + tk_oldLibs=$LIBS + LIBS="$LIBS -lsocket -lnsl" + ac_fn_c_check_func "$LINENO" "accept" "ac_cv_func_accept" +if test "x$ac_cv_func_accept" = xyes; then : + tcl_checkNsl=0 +else + LIBS=$tk_oldLibs +fi -#ifdef __STDC__ -# include -#else -# include -#endif + fi + ac_fn_c_check_func "$LINENO" "gethostbyname" "ac_cv_func_gethostbyname" +if test "x$ac_cv_func_gethostbyname" = xyes; then : -#undef setsockopt +else + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for gethostbyname in -lnsl" >&5 +$as_echo_n "checking for gethostbyname in -lnsl... " >&6; } +if ${ac_cv_lib_nsl_gethostbyname+:} false; then : + $as_echo_n "(cached) " >&6 +else + ac_check_lib_save_LIBS=$LIBS +LIBS="-lnsl $LIBS" +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ -/* Override any gcc2 internal prototype to avoid an error. */ +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ #ifdef __cplusplus extern "C" -{ #endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char setsockopt (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_setsockopt) || defined (__stub___setsockopt) -choke me -#else -char (*f) () = setsockopt; -#endif -#ifdef __cplusplus -} -#endif - -int -main () -{ -return f != setsockopt; - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_func_setsockopt=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_func_setsockopt=no -fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: $ac_cv_func_setsockopt" >&5 -echo "${ECHO_T}$ac_cv_func_setsockopt" >&6 -if test $ac_cv_func_setsockopt = yes; then - : -else - echo "$as_me:$LINENO: checking for setsockopt in -lsocket" >&5 -echo $ECHO_N "checking for setsockopt in -lsocket... $ECHO_C" >&6 -if test "${ac_cv_lib_socket_setsockopt+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - ac_check_lib_save_LIBS=$LIBS -LIBS="-lsocket $LIBS" -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ - -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char setsockopt (); -int -main () -{ -setsockopt (); - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_lib_socket_setsockopt=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_lib_socket_setsockopt=no -fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext -LIBS=$ac_check_lib_save_LIBS -fi -echo "$as_me:$LINENO: result: $ac_cv_lib_socket_setsockopt" >&5 -echo "${ECHO_T}$ac_cv_lib_socket_setsockopt" >&6 -if test $ac_cv_lib_socket_setsockopt = yes; then - LIBS="$LIBS -lsocket" -else - tcl_checkBoth=1 -fi - -fi - - fi - if test "$tcl_checkBoth" = 1; then - tk_oldLibs=$LIBS - LIBS="$LIBS -lsocket -lnsl" - echo "$as_me:$LINENO: checking for accept" >&5 -echo $ECHO_N "checking for accept... $ECHO_C" >&6 -if test "${ac_cv_func_accept+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define accept to an innocuous variant, in case declares accept. - For example, HP-UX 11i declares gettimeofday. */ -#define accept innocuous_accept - -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char accept (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ - -#ifdef __STDC__ -# include -#else -# include -#endif - -#undef accept - -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char accept (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_accept) || defined (__stub___accept) -choke me -#else -char (*f) () = accept; -#endif -#ifdef __cplusplus -} -#endif - -int -main () -{ -return f != accept; - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_func_accept=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_func_accept=no -fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: $ac_cv_func_accept" >&5 -echo "${ECHO_T}$ac_cv_func_accept" >&6 -if test $ac_cv_func_accept = yes; then - tcl_checkNsl=0 -else - LIBS=$tk_oldLibs -fi - - fi - echo "$as_me:$LINENO: checking for gethostbyname" >&5 -echo $ECHO_N "checking for gethostbyname... $ECHO_C" >&6 -if test "${ac_cv_func_gethostbyname+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define gethostbyname to an innocuous variant, in case declares gethostbyname. - For example, HP-UX 11i declares gettimeofday. */ -#define gethostbyname innocuous_gethostbyname - -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char gethostbyname (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ - -#ifdef __STDC__ -# include -#else -# include -#endif - -#undef gethostbyname - -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char gethostbyname (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_gethostbyname) || defined (__stub___gethostbyname) -choke me -#else -char (*f) () = gethostbyname; -#endif -#ifdef __cplusplus -} -#endif - -int -main () -{ -return f != gethostbyname; - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_func_gethostbyname=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_func_gethostbyname=no -fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: $ac_cv_func_gethostbyname" >&5 -echo "${ECHO_T}$ac_cv_func_gethostbyname" >&6 -if test $ac_cv_func_gethostbyname = yes; then - : -else - echo "$as_me:$LINENO: checking for gethostbyname in -lnsl" >&5 -echo $ECHO_N "checking for gethostbyname in -lnsl... $ECHO_C" >&6 -if test "${ac_cv_lib_nsl_gethostbyname+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - ac_check_lib_save_LIBS=$LIBS -LIBS="-lnsl $LIBS" -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ - -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ char gethostbyname (); int main () { -gethostbyname (); +return gethostbyname (); ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : ac_cv_lib_nsl_gethostbyname=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_lib_nsl_gethostbyname=no + ac_cv_lib_nsl_gethostbyname=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext LIBS=$ac_check_lib_save_LIBS fi -echo "$as_me:$LINENO: result: $ac_cv_lib_nsl_gethostbyname" >&5 -echo "${ECHO_T}$ac_cv_lib_nsl_gethostbyname" >&6 -if test $ac_cv_lib_nsl_gethostbyname = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_nsl_gethostbyname" >&5 +$as_echo "$ac_cv_lib_nsl_gethostbyname" >&6; } +if test "x$ac_cv_lib_nsl_gethostbyname" = xyes; then : LIBS="$LIBS -lnsl" fi @@ -5769,15 +4514,15 @@ fi LIBS="$LIBS$THREADS_LIBS" - echo "$as_me:$LINENO: checking how to build libraries" >&5 -echo $ECHO_N "checking how to build libraries... $ECHO_C" >&6 - # Check whether --enable-shared or --disable-shared was given. -if test "${enable_shared+set}" = set; then - enableval="$enable_shared" - tcl_ok=$enableval + { $as_echo "$as_me:${as_lineno-$LINENO}: checking how to build libraries" >&5 +$as_echo_n "checking how to build libraries... " >&6; } + # Check whether --enable-shared was given. +if test "${enable_shared+set}" = set; then : + enableval=$enable_shared; tcl_ok=$enableval else tcl_ok=yes -fi; +fi + if test "${enable_shared+set}" = set; then enableval="$enable_shared" @@ -5787,17 +4532,15 @@ fi; fi if test "$tcl_ok" = "yes" ; then - echo "$as_me:$LINENO: result: shared" >&5 -echo "${ECHO_T}shared" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: shared" >&5 +$as_echo "shared" >&6; } SHARED_BUILD=1 else - echo "$as_me:$LINENO: result: static" >&5 -echo "${ECHO_T}static" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: static" >&5 +$as_echo "static" >&6; } SHARED_BUILD=0 -cat >>confdefs.h <<\_ACEOF -#define STATIC_BUILD 1 -_ACEOF +$as_echo "#define STATIC_BUILD 1" >>confdefs.h fi @@ -5809,10 +4552,10 @@ _ACEOF #-------------------------------------------------------------------- - echo "$as_me:$LINENO: checking for tclsh" >&5 -echo $ECHO_N "checking for tclsh... $ECHO_C" >&6 - if test "${ac_cv_path_tclsh+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for tclsh" >&5 +$as_echo_n "checking for tclsh... " >&6; } + if ${ac_cv_path_tclsh+:} false; then : + $as_echo_n "(cached) " >&6 else search_path=`echo ${PATH} | sed -e 's/:/ /g'` @@ -5833,13 +4576,13 @@ fi if test -f "$ac_cv_path_tclsh" ; then TCLSH_PROG="$ac_cv_path_tclsh" - echo "$as_me:$LINENO: result: $TCLSH_PROG" >&5 -echo "${ECHO_T}$TCLSH_PROG" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $TCLSH_PROG" >&5 +$as_echo "$TCLSH_PROG" >&6; } else # It is not an error if an installed version of Tcl can't be located. TCLSH_PROG="" - echo "$as_me:$LINENO: result: No tclsh found on PATH" >&5 -echo "${ECHO_T}No tclsh found on PATH" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: No tclsh found on PATH" >&5 +$as_echo "No tclsh found on PATH" >&6; } fi @@ -5852,363 +4595,98 @@ fi #------------------------------------------------------------------------ zlib_ok=yes -if test "${ac_cv_header_zlib_h+set}" = set; then - echo "$as_me:$LINENO: checking for zlib.h" >&5 -echo $ECHO_N "checking for zlib.h... $ECHO_C" >&6 -if test "${ac_cv_header_zlib_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -fi -echo "$as_me:$LINENO: result: $ac_cv_header_zlib_h" >&5 -echo "${ECHO_T}$ac_cv_header_zlib_h" >&6 -else - # Is the header compilable? -echo "$as_me:$LINENO: checking zlib.h usability" >&5 -echo $ECHO_N "checking zlib.h usability... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -#include -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_header_compiler=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 +ac_fn_c_check_header_mongrel "$LINENO" "zlib.h" "ac_cv_header_zlib_h" "$ac_includes_default" +if test "x$ac_cv_header_zlib_h" = xyes; then : -ac_header_compiler=no -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_compiler" >&5 -echo "${ECHO_T}$ac_header_compiler" >&6 + ac_fn_c_check_type "$LINENO" "gz_header" "ac_cv_type_gz_header" "#include +" +if test "x$ac_cv_type_gz_header" = xyes; then : -# Is the header present? -echo "$as_me:$LINENO: checking zlib.h presence" >&5 -echo $ECHO_N "checking zlib.h presence... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include -_ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi else - ac_cpp_err=yes + zlib_ok=no fi -if test -z "$ac_cpp_err"; then - ac_header_preproc=yes + else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - ac_header_preproc=no + zlib_ok=no fi -rm -f conftest.err conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_preproc" >&5 -echo "${ECHO_T}$ac_header_preproc" >&6 -# So? What about this header? -case $ac_header_compiler:$ac_header_preproc:$ac_c_preproc_warn_flag in - yes:no: ) - { echo "$as_me:$LINENO: WARNING: zlib.h: accepted by the compiler, rejected by the preprocessor!" >&5 -echo "$as_me: WARNING: zlib.h: accepted by the compiler, rejected by the preprocessor!" >&2;} - { echo "$as_me:$LINENO: WARNING: zlib.h: proceeding with the compiler's result" >&5 -echo "$as_me: WARNING: zlib.h: proceeding with the compiler's result" >&2;} - ac_header_preproc=yes - ;; - no:yes:* ) - { echo "$as_me:$LINENO: WARNING: zlib.h: present but cannot be compiled" >&5 -echo "$as_me: WARNING: zlib.h: present but cannot be compiled" >&2;} - { echo "$as_me:$LINENO: WARNING: zlib.h: check for missing prerequisite headers?" >&5 -echo "$as_me: WARNING: zlib.h: check for missing prerequisite headers?" >&2;} - { echo "$as_me:$LINENO: WARNING: zlib.h: see the Autoconf documentation" >&5 -echo "$as_me: WARNING: zlib.h: see the Autoconf documentation" >&2;} - { echo "$as_me:$LINENO: WARNING: zlib.h: section \"Present But Cannot Be Compiled\"" >&5 -echo "$as_me: WARNING: zlib.h: section \"Present But Cannot Be Compiled\"" >&2;} - { echo "$as_me:$LINENO: WARNING: zlib.h: proceeding with the preprocessor's result" >&5 -echo "$as_me: WARNING: zlib.h: proceeding with the preprocessor's result" >&2;} - { echo "$as_me:$LINENO: WARNING: zlib.h: in the future, the compiler will take precedence" >&5 -echo "$as_me: WARNING: zlib.h: in the future, the compiler will take precedence" >&2;} - ( - cat <<\_ASBOX -## ------------------------------ ## -## Report this to the tcl lists. ## -## ------------------------------ ## -_ASBOX - ) | - sed "s/^/$as_me: WARNING: /" >&2 - ;; -esac -echo "$as_me:$LINENO: checking for zlib.h" >&5 -echo $ECHO_N "checking for zlib.h... $ECHO_C" >&6 -if test "${ac_cv_header_zlib_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - ac_cv_header_zlib_h=$ac_header_preproc -fi -echo "$as_me:$LINENO: result: $ac_cv_header_zlib_h" >&5 -echo "${ECHO_T}$ac_cv_header_zlib_h" >&6 -fi -if test $ac_cv_header_zlib_h = yes; then +if test $zlib_ok = yes; then : - echo "$as_me:$LINENO: checking for gz_header" >&5 -echo $ECHO_N "checking for gz_header... $ECHO_C" >&6 -if test "${ac_cv_type_gz_header+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for library containing deflateSetHeader" >&5 +$as_echo_n "checking for library containing deflateSetHeader... " >&6; } +if ${ac_cv_search_deflateSetHeader+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + ac_func_search_save_LIBS=$LIBS +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -#include +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ +#ifdef __cplusplus +extern "C" +#endif +char deflateSetHeader (); int main () { -if ((gz_header *) 0) - return 0; -if (sizeof (gz_header)) - return 0; +return deflateSetHeader (); ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_type_gz_header=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_type_gz_header=no +for ac_lib in '' z; do + if test -z "$ac_lib"; then + ac_res="none required" + else + ac_res=-l$ac_lib + LIBS="-l$ac_lib $ac_func_search_save_LIBS" + fi + if ac_fn_c_try_link "$LINENO"; then : + ac_cv_search_deflateSetHeader=$ac_res fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext + if ${ac_cv_search_deflateSetHeader+:} false; then : + break fi -echo "$as_me:$LINENO: result: $ac_cv_type_gz_header" >&5 -echo "${ECHO_T}$ac_cv_type_gz_header" >&6 -if test $ac_cv_type_gz_header = yes; then - : +done +if ${ac_cv_search_deflateSetHeader+:} false; then : + else - zlib_ok=no + ac_cv_search_deflateSetHeader=no +fi +rm conftest.$ac_ext +LIBS=$ac_func_search_save_LIBS fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_search_deflateSetHeader" >&5 +$as_echo "$ac_cv_search_deflateSetHeader" >&6; } +ac_res=$ac_cv_search_deflateSetHeader +if test "$ac_res" != no; then : + test "$ac_res" = "none required" || LIBS="$ac_res $LIBS" else - zlib_ok=no + zlib_ok=no + fi +fi +if test $zlib_ok = no; then : -if test $zlib_ok = yes; then + ZLIB_OBJS=\${ZLIB_OBJS} - echo "$as_me:$LINENO: checking for library containing deflateSetHeader" >&5 -echo $ECHO_N "checking for library containing deflateSetHeader... $ECHO_C" >&6 -if test "${ac_cv_search_deflateSetHeader+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - ac_func_search_save_LIBS=$LIBS -ac_cv_search_deflateSetHeader=no -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ - -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char deflateSetHeader (); -int -main () -{ -deflateSetHeader (); - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_search_deflateSetHeader="none required" -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext -if test "$ac_cv_search_deflateSetHeader" = no; then - for ac_lib in z; do - LIBS="-l$ac_lib $ac_func_search_save_LIBS" - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ - -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char deflateSetHeader (); -int -main () -{ -deflateSetHeader (); - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_search_deflateSetHeader="-l$ac_lib" -break -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext - done -fi -LIBS=$ac_func_search_save_LIBS -fi -echo "$as_me:$LINENO: result: $ac_cv_search_deflateSetHeader" >&5 -echo "${ECHO_T}$ac_cv_search_deflateSetHeader" >&6 -if test "$ac_cv_search_deflateSetHeader" != no; then - test "$ac_cv_search_deflateSetHeader" = "none required" || LIBS="$ac_cv_search_deflateSetHeader $LIBS" - -else - - zlib_ok=no - -fi - -fi - -if test $zlib_ok = no; then - - ZLIB_OBJS=\${ZLIB_OBJS} - - ZLIB_SRCS=\${ZLIB_SRCS} + ZLIB_SRCS=\${ZLIB_SRCS} ZLIB_INCLUDE=-I\${ZLIB_DIR} fi - -cat >>confdefs.h <<\_ACEOF -#define HAVE_ZLIB 1 -_ACEOF +$as_echo "#define HAVE_ZLIB 1" >>confdefs.h #-------------------------------------------------------------------- @@ -6220,10 +4698,10 @@ _ACEOF if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}ranlib", so it can be a program name with args. set dummy ${ac_tool_prefix}ranlib; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_RANLIB+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_RANLIB+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$RANLIB"; then ac_cv_prog_RANLIB="$RANLIB" # Let the user override the test. @@ -6233,35 +4711,37 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_RANLIB="${ac_tool_prefix}ranlib" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi RANLIB=$ac_cv_prog_RANLIB if test -n "$RANLIB"; then - echo "$as_me:$LINENO: result: $RANLIB" >&5 -echo "${ECHO_T}$RANLIB" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $RANLIB" >&5 +$as_echo "$RANLIB" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi + fi if test -z "$ac_cv_prog_RANLIB"; then ac_ct_RANLIB=$RANLIB # Extract the first word of "ranlib", so it can be a program name with args. set dummy ranlib; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_ac_ct_RANLIB+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_RANLIB+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_RANLIB"; then ac_cv_prog_ac_ct_RANLIB="$ac_ct_RANLIB" # Let the user override the test. @@ -6271,28 +4751,38 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_RANLIB="ranlib" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS - test -z "$ac_cv_prog_ac_ct_RANLIB" && ac_cv_prog_ac_ct_RANLIB=":" fi fi ac_ct_RANLIB=$ac_cv_prog_ac_ct_RANLIB if test -n "$ac_ct_RANLIB"; then - echo "$as_me:$LINENO: result: $ac_ct_RANLIB" >&5 -echo "${ECHO_T}$ac_ct_RANLIB" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_RANLIB" >&5 +$as_echo "$ac_ct_RANLIB" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi - RANLIB=$ac_ct_RANLIB + if test "x$ac_ct_RANLIB" = x; then + RANLIB=":" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + RANLIB=$ac_ct_RANLIB + fi else RANLIB="$ac_cv_prog_RANLIB" fi @@ -6301,52 +4791,47 @@ fi # Step 0.a: Enable 64 bit support? - echo "$as_me:$LINENO: checking if 64bit support is requested" >&5 -echo $ECHO_N "checking if 64bit support is requested... $ECHO_C" >&6 - # Check whether --enable-64bit or --disable-64bit was given. -if test "${enable_64bit+set}" = set; then - enableval="$enable_64bit" - do64bit=$enableval + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if 64bit support is requested" >&5 +$as_echo_n "checking if 64bit support is requested... " >&6; } + # Check whether --enable-64bit was given. +if test "${enable_64bit+set}" = set; then : + enableval=$enable_64bit; do64bit=$enableval else do64bit=no -fi; - echo "$as_me:$LINENO: result: $do64bit" >&5 -echo "${ECHO_T}$do64bit" >&6 +fi + + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $do64bit" >&5 +$as_echo "$do64bit" >&6; } # Step 0.b: Enable Solaris 64 bit VIS support? - echo "$as_me:$LINENO: checking if 64bit Sparc VIS support is requested" >&5 -echo $ECHO_N "checking if 64bit Sparc VIS support is requested... $ECHO_C" >&6 - # Check whether --enable-64bit-vis or --disable-64bit-vis was given. -if test "${enable_64bit_vis+set}" = set; then - enableval="$enable_64bit_vis" - do64bitVIS=$enableval + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if 64bit Sparc VIS support is requested" >&5 +$as_echo_n "checking if 64bit Sparc VIS support is requested... " >&6; } + # Check whether --enable-64bit-vis was given. +if test "${enable_64bit_vis+set}" = set; then : + enableval=$enable_64bit_vis; do64bitVIS=$enableval else do64bitVIS=no -fi; - echo "$as_me:$LINENO: result: $do64bitVIS" >&5 -echo "${ECHO_T}$do64bitVIS" >&6 +fi + + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $do64bitVIS" >&5 +$as_echo "$do64bitVIS" >&6; } # Force 64bit on with VIS - if test "$do64bitVIS" = "yes"; then + if test "$do64bitVIS" = "yes"; then : do64bit=yes fi - # Step 0.c: Check if visibility support is available. Do this here so # that platform specific alternatives can be used below if this fails. - echo "$as_me:$LINENO: checking if compiler supports visibility \"hidden\"" >&5 -echo $ECHO_N "checking if compiler supports visibility \"hidden\"... $ECHO_C" >&6 -if test "${tcl_cv_cc_visibility_hidden+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if compiler supports visibility \"hidden\"" >&5 +$as_echo_n "checking if compiler supports visibility \"hidden\"... " >&6; } +if ${tcl_cv_cc_visibility_hidden+:} false; then : + $as_echo_n "(cached) " >&6 else hold_cflags=$CFLAGS; CFLAGS="$CFLAGS -Werror" - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ extern __attribute__((__visibility__("hidden"))) void f(void); @@ -6359,79 +4844,50 @@ f(); return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : tcl_cv_cc_visibility_hidden=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_cc_visibility_hidden=no + tcl_cv_cc_visibility_hidden=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext CFLAGS=$hold_cflags fi -echo "$as_me:$LINENO: result: $tcl_cv_cc_visibility_hidden" >&5 -echo "${ECHO_T}$tcl_cv_cc_visibility_hidden" >&6 - if test $tcl_cv_cc_visibility_hidden = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_cc_visibility_hidden" >&5 +$as_echo "$tcl_cv_cc_visibility_hidden" >&6; } + if test $tcl_cv_cc_visibility_hidden = yes; then : -cat >>confdefs.h <<\_ACEOF -#define MODULE_SCOPE extern __attribute__((__visibility__("hidden"))) -_ACEOF +$as_echo "#define MODULE_SCOPE extern __attribute__((__visibility__(\"hidden\")))" >>confdefs.h -cat >>confdefs.h <<\_ACEOF -#define HAVE_HIDDEN 1 -_ACEOF +$as_echo "#define HAVE_HIDDEN 1" >>confdefs.h fi - # Step 0.d: Disable -rpath support? - echo "$as_me:$LINENO: checking if rpath support is requested" >&5 -echo $ECHO_N "checking if rpath support is requested... $ECHO_C" >&6 - # Check whether --enable-rpath or --disable-rpath was given. -if test "${enable_rpath+set}" = set; then - enableval="$enable_rpath" - doRpath=$enableval + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if rpath support is requested" >&5 +$as_echo_n "checking if rpath support is requested... " >&6; } + # Check whether --enable-rpath was given. +if test "${enable_rpath+set}" = set; then : + enableval=$enable_rpath; doRpath=$enableval else doRpath=yes -fi; - echo "$as_me:$LINENO: result: $doRpath" >&5 -echo "${ECHO_T}$doRpath" >&6 +fi + + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $doRpath" >&5 +$as_echo "$doRpath" >&6; } # Step 1: set the variable "system" to hold the name and version number # for the system. - echo "$as_me:$LINENO: checking system version" >&5 -echo $ECHO_N "checking system version... $ECHO_C" >&6 -if test "${tcl_cv_sys_version+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking system version" >&5 +$as_echo_n "checking system version... " >&6; } +if ${tcl_cv_sys_version+:} false; then : + $as_echo_n "(cached) " >&6 else if test -f /usr/lib/NextStep/software_version; then @@ -6439,8 +4895,8 @@ else else tcl_cv_sys_version=`uname -s`-`uname -r` if test "$?" -ne 0 ; then - { echo "$as_me:$LINENO: WARNING: can't find uname command" >&5 -echo "$as_me: WARNING: can't find uname command" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: can't find uname command" >&5 +$as_echo "$as_me: WARNING: can't find uname command" >&2;} tcl_cv_sys_version=unknown else # Special check for weird MP-RAS system (uname returns weird @@ -6456,79 +4912,51 @@ echo "$as_me: WARNING: can't find uname command" >&2;} fi fi -echo "$as_me:$LINENO: result: $tcl_cv_sys_version" >&5 -echo "${ECHO_T}$tcl_cv_sys_version" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_sys_version" >&5 +$as_echo "$tcl_cv_sys_version" >&6; } system=$tcl_cv_sys_version # Step 2: check for existence of -ldl library. This is needed because # Linux can use either -ldl or -ldld for dynamic loading. - echo "$as_me:$LINENO: checking for dlopen in -ldl" >&5 -echo $ECHO_N "checking for dlopen in -ldl... $ECHO_C" >&6 -if test "${ac_cv_lib_dl_dlopen+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for dlopen in -ldl" >&5 +$as_echo_n "checking for dlopen in -ldl... " >&6; } +if ${ac_cv_lib_dl_dlopen+:} false; then : + $as_echo_n "(cached) " >&6 else ac_check_lib_save_LIBS=$LIBS LIBS="-ldl $LIBS" -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -/* Override any gcc2 internal prototype to avoid an error. */ +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ #ifdef __cplusplus extern "C" #endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ char dlopen (); int main () { -dlopen (); +return dlopen (); ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : ac_cv_lib_dl_dlopen=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_lib_dl_dlopen=no + ac_cv_lib_dl_dlopen=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext LIBS=$ac_check_lib_save_LIBS fi -echo "$as_me:$LINENO: result: $ac_cv_lib_dl_dlopen" >&5 -echo "${ECHO_T}$ac_cv_lib_dl_dlopen" >&6 -if test $ac_cv_lib_dl_dlopen = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_dl_dlopen" >&5 +$as_echo "$ac_cv_lib_dl_dlopen" >&6; } +if test "x$ac_cv_lib_dl_dlopen" = xyes; then : have_dl=yes else have_dl=no @@ -6554,7 +4982,7 @@ fi ECHO_VERSION='`echo ${VERSION}`' TCL_LIB_VERSIONS_OK=ok CFLAGS_DEBUG=-g - if test "$GCC" = yes; then + if test "$GCC" = yes; then : CFLAGS_OPTIMIZE=-O2 CFLAGS_WARNING="-Wall" @@ -6565,14 +4993,13 @@ else CFLAGS_WARNING="" fi - if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}ar", so it can be a program name with args. set dummy ${ac_tool_prefix}ar; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_AR+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_AR+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$AR"; then ac_cv_prog_AR="$AR" # Let the user override the test. @@ -6582,35 +5009,37 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_AR="${ac_tool_prefix}ar" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi AR=$ac_cv_prog_AR if test -n "$AR"; then - echo "$as_me:$LINENO: result: $AR" >&5 -echo "${ECHO_T}$AR" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $AR" >&5 +$as_echo "$AR" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi + fi if test -z "$ac_cv_prog_AR"; then ac_ct_AR=$AR # Extract the first word of "ar", so it can be a program name with args. set dummy ar; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_ac_ct_AR+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_AR+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_AR"; then ac_cv_prog_ac_ct_AR="$ac_ct_AR" # Let the user override the test. @@ -6620,27 +5049,38 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_AR="ar" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi ac_ct_AR=$ac_cv_prog_ac_ct_AR if test -n "$ac_ct_AR"; then - echo "$as_me:$LINENO: result: $ac_ct_AR" >&5 -echo "${ECHO_T}$ac_ct_AR" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_AR" >&5 +$as_echo "$ac_ct_AR" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi - AR=$ac_ct_AR + if test "x$ac_ct_AR" = x; then + AR="" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + AR=$ac_ct_AR + fi else AR="$ac_cv_prog_AR" fi @@ -6650,13 +5090,12 @@ fi PLAT_OBJS="" PLAT_SRCS="" LDAIX_SRC="" - if test x"${SHLIB_VERSION}" = x; then + if test x"${SHLIB_VERSION}" = x; then : SHLIB_VERSION="1.0" fi - case $system in AIX-*) - if test "${TCL_THREADS}" = "1" -a "$GCC" != "yes"; then + if test "${TCL_THREADS}" = "1" -a "$GCC" != "yes"; then : # AIX requires the _r compiler when gcc isn't being used case "${CC}" in @@ -6668,11 +5107,10 @@ fi CC=`echo "$CC" | sed -e 's/^\([^ ]*\)/\1_r/'` ;; esac - echo "$as_me:$LINENO: result: Using $CC for compiling with threads" >&5 -echo "${ECHO_T}Using $CC for compiling with threads" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: Using $CC for compiling with threads" >&5 +$as_echo "Using $CC for compiling with threads" >&6; } fi - LIBS="$LIBS -lc" SHLIB_CFLAGS="" SHLIB_SUFFIX=".so" @@ -6685,12 +5123,12 @@ fi LDAIX_SRC='$(UNIX_DIR)/ldAix' # Check to enable 64-bit flags for compiler/linker - if test "$do64bit" = yes; then + if test "$do64bit" = yes; then : - if test "$GCC" = yes; then + if test "$GCC" = yes; then : - { echo "$as_me:$LINENO: WARNING: 64bit mode not supported with GCC on $system" >&5 -echo "$as_me: WARNING: 64bit mode not supported with GCC on $system" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: 64bit mode not supported with GCC on $system" >&5 +$as_echo "$as_me: WARNING: 64bit mode not supported with GCC on $system" >&2;} else @@ -6703,17 +5141,15 @@ else fi - fi - - if test "`uname -m`" = ia64; then + if test "`uname -m`" = ia64; then : # AIX-5 uses ELF style dynamic libraries on IA-64, but not PPC SHLIB_LD="/usr/ccs/bin/ld -G -z text" # AIX-5 has dl* in libc.so DL_LIBS="" - if test "$GCC" = yes; then + if test "$GCC" = yes; then : CC_SEARCH_FLAGS='-Wl,-R,${LIB_RUNTIME_DIR}' @@ -6722,12 +5158,11 @@ else CC_SEARCH_FLAGS='-R${LIB_RUNTIME_DIR}' fi - LD_SEARCH_FLAGS='-R ${LIB_RUNTIME_DIR}' else - if test "$GCC" = yes; then + if test "$GCC" = yes; then : SHLIB_LD='${CC} -shared -Wl,-bexpall' @@ -6737,14 +5172,12 @@ else LDFLAGS="$LDFLAGS -brtl" fi - SHLIB_LD="${SHLIB_LD} ${SHLIB_LD_FLAGS}" DL_LIBS="-ldl" CC_SEARCH_FLAGS='-L${LIB_RUNTIME_DIR}' LD_SEARCH_FLAGS=${CC_SEARCH_FLAGS} fi - ;; BeOS*) SHLIB_CFLAGS="-fPIC" @@ -6758,71 +5191,43 @@ fi # -lsocket, even if the network functions are in -lnet which # is always linked to, for compatibility. #----------------------------------------------------------- - echo "$as_me:$LINENO: checking for inet_ntoa in -lbind" >&5 -echo $ECHO_N "checking for inet_ntoa in -lbind... $ECHO_C" >&6 -if test "${ac_cv_lib_bind_inet_ntoa+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for inet_ntoa in -lbind" >&5 +$as_echo_n "checking for inet_ntoa in -lbind... " >&6; } +if ${ac_cv_lib_bind_inet_ntoa+:} false; then : + $as_echo_n "(cached) " >&6 else ac_check_lib_save_LIBS=$LIBS LIBS="-lbind $LIBS" -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -/* Override any gcc2 internal prototype to avoid an error. */ +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ #ifdef __cplusplus extern "C" #endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ char inet_ntoa (); int main () { -inet_ntoa (); +return inet_ntoa (); ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : ac_cv_lib_bind_inet_ntoa=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_lib_bind_inet_ntoa=no + ac_cv_lib_bind_inet_ntoa=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext LIBS=$ac_check_lib_save_LIBS fi -echo "$as_me:$LINENO: result: $ac_cv_lib_bind_inet_ntoa" >&5 -echo "${ECHO_T}$ac_cv_lib_bind_inet_ntoa" >&6 -if test $ac_cv_lib_bind_inet_ntoa = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_bind_inet_ntoa" >&5 +$as_echo "$ac_cv_lib_bind_inet_ntoa" >&6; } +if test "x$ac_cv_lib_bind_inet_ntoa" = xyes; then : LIBS="$LIBS -lbind -lsocket" fi @@ -6859,16 +5264,12 @@ fi TCL_NEEDS_EXP_FILE=1 TCL_EXPORT_FILE_SUFFIX='${VERSION}\$\{DBGX\}.dll.a' SHLIB_LD_LIBS="${SHLIB_LD_LIBS} -Wl,--out-implib,\$@.a" - echo "$as_me:$LINENO: checking for Cygwin version of gcc" >&5 -echo $ECHO_N "checking for Cygwin version of gcc... $ECHO_C" >&6 -if test "${ac_cv_cygwin+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for Cygwin version of gcc" >&5 +$as_echo_n "checking for Cygwin version of gcc... " >&6; } +if ${ac_cv_cygwin+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #ifdef __CYGWIN__ @@ -6883,49 +5284,21 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : ac_cv_cygwin=no else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_cygwin=yes + ac_cv_cygwin=yes fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $ac_cv_cygwin" >&5 -echo "${ECHO_T}$ac_cv_cygwin" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_cygwin" >&5 +$as_echo "$ac_cv_cygwin" >&6; } if test "$ac_cv_cygwin" = "no"; then - { { echo "$as_me:$LINENO: error: ${CC} is not a cygwin compiler." >&5 -echo "$as_me: error: ${CC} is not a cygwin compiler." >&2;} - { (exit 1); exit 1; }; } + as_fn_error $? "${CC} is not a cygwin compiler." "$LINENO" 5 fi if test "x${TCL_THREADS}" = "x0"; then - { { echo "$as_me:$LINENO: error: CYGWIN compile is only supported with --enable-threads" >&5 -echo "$as_me: error: CYGWIN compile is only supported with --enable-threads" >&2;} - { (exit 1); exit 1; }; } + as_fn_error $? "CYGWIN compile is only supported with --enable-threads" "$LINENO" 5 fi do64bit_ok=yes if test "x${SHARED_BUILD}" = "x1"; then @@ -6955,71 +5328,43 @@ echo "$as_me: error: CYGWIN compile is only supported with --enable-threads" >&2 SHLIB_LD='${CC} -shared ${CFLAGS} ${LDFLAGS}' DL_OBJS="tclLoadDl.o" DL_LIBS="-lroot" - echo "$as_me:$LINENO: checking for inet_ntoa in -lnetwork" >&5 -echo $ECHO_N "checking for inet_ntoa in -lnetwork... $ECHO_C" >&6 -if test "${ac_cv_lib_network_inet_ntoa+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for inet_ntoa in -lnetwork" >&5 +$as_echo_n "checking for inet_ntoa in -lnetwork... " >&6; } +if ${ac_cv_lib_network_inet_ntoa+:} false; then : + $as_echo_n "(cached) " >&6 else ac_check_lib_save_LIBS=$LIBS LIBS="-lnetwork $LIBS" -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -/* Override any gcc2 internal prototype to avoid an error. */ +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ #ifdef __cplusplus extern "C" #endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ char inet_ntoa (); int main () { -inet_ntoa (); +return inet_ntoa (); ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : ac_cv_lib_network_inet_ntoa=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_lib_network_inet_ntoa=no + ac_cv_lib_network_inet_ntoa=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext LIBS=$ac_check_lib_save_LIBS fi -echo "$as_me:$LINENO: result: $ac_cv_lib_network_inet_ntoa" >&5 -echo "${ECHO_T}$ac_cv_lib_network_inet_ntoa" >&6 -if test $ac_cv_lib_network_inet_ntoa = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_network_inet_ntoa" >&5 +$as_echo "$ac_cv_lib_network_inet_ntoa" >&6; } +if test "x$ac_cv_lib_network_inet_ntoa" = xyes; then : LIBS="$LIBS -lnetwork" fi @@ -7027,18 +5372,14 @@ fi HP-UX-*.11.*) # Use updated header definitions where possible -cat >>confdefs.h <<\_ACEOF -#define _XOPEN_SOURCE_EXTENDED 1 -_ACEOF +$as_echo "#define _XOPEN_SOURCE_EXTENDED 1" >>confdefs.h -cat >>confdefs.h <<\_ACEOF -#define _XOPEN_SOURCE 1 -_ACEOF +$as_echo "#define _XOPEN_SOURCE 1" >>confdefs.h LIBS="$LIBS -lxnet" # Use the XOPEN network library - if test "`uname -m`" = ia64; then + if test "`uname -m`" = ia64; then : SHLIB_SUFFIX=".so" @@ -7047,78 +5388,49 @@ else SHLIB_SUFFIX=".sl" fi - - echo "$as_me:$LINENO: checking for shl_load in -ldld" >&5 -echo $ECHO_N "checking for shl_load in -ldld... $ECHO_C" >&6 -if test "${ac_cv_lib_dld_shl_load+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for shl_load in -ldld" >&5 +$as_echo_n "checking for shl_load in -ldld... " >&6; } +if ${ac_cv_lib_dld_shl_load+:} false; then : + $as_echo_n "(cached) " >&6 else ac_check_lib_save_LIBS=$LIBS LIBS="-ldld $LIBS" -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -/* Override any gcc2 internal prototype to avoid an error. */ +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ #ifdef __cplusplus extern "C" #endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ char shl_load (); int main () { -shl_load (); +return shl_load (); ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : ac_cv_lib_dld_shl_load=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_lib_dld_shl_load=no + ac_cv_lib_dld_shl_load=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext LIBS=$ac_check_lib_save_LIBS fi -echo "$as_me:$LINENO: result: $ac_cv_lib_dld_shl_load" >&5 -echo "${ECHO_T}$ac_cv_lib_dld_shl_load" >&6 -if test $ac_cv_lib_dld_shl_load = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_dld_shl_load" >&5 +$as_echo "$ac_cv_lib_dld_shl_load" >&6; } +if test "x$ac_cv_lib_dld_shl_load" = xyes; then : tcl_ok=yes else tcl_ok=no fi - if test "$tcl_ok" = yes; then + if test "$tcl_ok" = yes; then : SHLIB_CFLAGS="+z" SHLIB_LD="ld -b" @@ -7130,8 +5442,7 @@ fi LD_LIBRARY_PATH_VAR="SHLIB_PATH" fi - - if test "$GCC" = yes; then + if test "$GCC" = yes; then : SHLIB_LD='${CC} -shared' LD_SEARCH_FLAGS=${CC_SEARCH_FLAGS} @@ -7142,30 +5453,28 @@ else fi - # Users may want PA-RISC 1.1/2.0 portable code - needs HP cc #CFLAGS="$CFLAGS +DAportable" # Check to enable 64-bit flags for compiler/linker - if test "$do64bit" = "yes"; then + if test "$do64bit" = "yes"; then : - if test "$GCC" = yes; then + if test "$GCC" = yes; then : case `${CC} -dumpmachine` in hppa64*) # 64-bit gcc in use. Fix flags for GNU ld. do64bit_ok=yes SHLIB_LD='${CC} -shared' - if test $doRpath = yes; then + if test $doRpath = yes; then : CC_SEARCH_FLAGS='-Wl,-rpath,${LIB_RUNTIME_DIR}' fi - LD_SEARCH_FLAGS=${CC_SEARCH_FLAGS} ;; *) - { echo "$as_me:$LINENO: WARNING: 64bit mode not supported with GCC on $system" >&5 -echo "$as_me: WARNING: 64bit mode not supported with GCC on $system" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: 64bit mode not supported with GCC on $system" >&5 +$as_echo "$as_me: WARNING: 64bit mode not supported with GCC on $system" >&2;} ;; esac @@ -7177,82 +5486,52 @@ else fi - -fi - ;; +fi ;; HP-UX-*.08.*|HP-UX-*.09.*|HP-UX-*.10.*) SHLIB_SUFFIX=".sl" - echo "$as_me:$LINENO: checking for shl_load in -ldld" >&5 -echo $ECHO_N "checking for shl_load in -ldld... $ECHO_C" >&6 -if test "${ac_cv_lib_dld_shl_load+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for shl_load in -ldld" >&5 +$as_echo_n "checking for shl_load in -ldld... " >&6; } +if ${ac_cv_lib_dld_shl_load+:} false; then : + $as_echo_n "(cached) " >&6 else ac_check_lib_save_LIBS=$LIBS LIBS="-ldld $LIBS" -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -/* Override any gcc2 internal prototype to avoid an error. */ +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ #ifdef __cplusplus extern "C" #endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ char shl_load (); int main () { -shl_load (); +return shl_load (); ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : ac_cv_lib_dld_shl_load=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_lib_dld_shl_load=no + ac_cv_lib_dld_shl_load=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext LIBS=$ac_check_lib_save_LIBS fi -echo "$as_me:$LINENO: result: $ac_cv_lib_dld_shl_load" >&5 -echo "${ECHO_T}$ac_cv_lib_dld_shl_load" >&6 -if test $ac_cv_lib_dld_shl_load = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_dld_shl_load" >&5 +$as_echo "$ac_cv_lib_dld_shl_load" >&6; } +if test "x$ac_cv_lib_dld_shl_load" = xyes; then : tcl_ok=yes else tcl_ok=no fi - if test "$tcl_ok" = yes; then + if test "$tcl_ok" = yes; then : SHLIB_CFLAGS="+z" SHLIB_LD="ld -b" @@ -7264,28 +5543,24 @@ fi LD_SEARCH_FLAGS='+s +b ${LIB_RUNTIME_DIR}:.' LD_LIBRARY_PATH_VAR="SHLIB_PATH" -fi - ;; +fi ;; IRIX-5.*) SHLIB_CFLAGS="" SHLIB_LD="ld -shared -rdata_shared" SHLIB_SUFFIX=".so" DL_OBJS="tclLoadDl.o" DL_LIBS="" - case $LIBOBJS in - "mkstemp.$ac_objext" | \ - *" mkstemp.$ac_objext" | \ - "mkstemp.$ac_objext "* | \ + case " $LIBOBJS " in *" mkstemp.$ac_objext "* ) ;; - *) LIBOBJS="$LIBOBJS mkstemp.$ac_objext" ;; + *) LIBOBJS="$LIBOBJS mkstemp.$ac_objext" + ;; esac - if test $doRpath = yes; then + if test $doRpath = yes; then : CC_SEARCH_FLAGS='-Wl,-rpath,${LIB_RUNTIME_DIR}' LD_SEARCH_FLAGS='-rpath ${LIB_RUNTIME_DIR}' fi - ;; IRIX-6.*) SHLIB_CFLAGS="" @@ -7293,21 +5568,18 @@ fi SHLIB_SUFFIX=".so" DL_OBJS="tclLoadDl.o" DL_LIBS="" - case $LIBOBJS in - "mkstemp.$ac_objext" | \ - *" mkstemp.$ac_objext" | \ - "mkstemp.$ac_objext "* | \ + case " $LIBOBJS " in *" mkstemp.$ac_objext "* ) ;; - *) LIBOBJS="$LIBOBJS mkstemp.$ac_objext" ;; + *) LIBOBJS="$LIBOBJS mkstemp.$ac_objext" + ;; esac - if test $doRpath = yes; then + if test $doRpath = yes; then : CC_SEARCH_FLAGS='-Wl,-rpath,${LIB_RUNTIME_DIR}' LD_SEARCH_FLAGS='-rpath ${LIB_RUNTIME_DIR}' fi - - if test "$GCC" = yes; then + if test "$GCC" = yes; then : CFLAGS="$CFLAGS -mabi=n32" LDFLAGS="$LDFLAGS -mabi=n32" @@ -7326,7 +5598,6 @@ else LDFLAGS="$LDFLAGS -n32" fi - ;; IRIX64-6.*) SHLIB_CFLAGS="" @@ -7334,29 +5605,26 @@ fi SHLIB_SUFFIX=".so" DL_OBJS="tclLoadDl.o" DL_LIBS="" - case $LIBOBJS in - "mkstemp.$ac_objext" | \ - *" mkstemp.$ac_objext" | \ - "mkstemp.$ac_objext "* | \ + case " $LIBOBJS " in *" mkstemp.$ac_objext "* ) ;; - *) LIBOBJS="$LIBOBJS mkstemp.$ac_objext" ;; + *) LIBOBJS="$LIBOBJS mkstemp.$ac_objext" + ;; esac - if test $doRpath = yes; then + if test $doRpath = yes; then : CC_SEARCH_FLAGS='-Wl,-rpath,${LIB_RUNTIME_DIR}' LD_SEARCH_FLAGS='-rpath ${LIB_RUNTIME_DIR}' fi - # Check to enable 64-bit flags for compiler/linker - if test "$do64bit" = yes; then + if test "$do64bit" = yes; then : - if test "$GCC" = yes; then + if test "$GCC" = yes; then : - { echo "$as_me:$LINENO: WARNING: 64bit mode not supported by gcc" >&5 -echo "$as_me: WARNING: 64bit mode not supported by gcc" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: 64bit mode not supported by gcc" >&5 +$as_echo "$as_me: WARNING: 64bit mode not supported by gcc" >&2;} else @@ -7367,9 +5635,7 @@ else fi - fi - ;; Linux*|GNU*|NetBSD-Debian) SHLIB_CFLAGS="-fPIC" @@ -7385,31 +5651,25 @@ fi DL_OBJS="tclLoadDl.o" DL_LIBS="-ldl" LDFLAGS="$LDFLAGS -Wl,--export-dynamic" - if test $doRpath = yes; then + if test $doRpath = yes; then : CC_SEARCH_FLAGS='-Wl,-rpath,${LIB_RUNTIME_DIR}' fi - LD_SEARCH_FLAGS=${CC_SEARCH_FLAGS} - if test "`uname -m`" = "alpha"; then + if test "`uname -m`" = "alpha"; then : CFLAGS="$CFLAGS -mieee" fi + if test $do64bit = yes; then : - if test $do64bit = yes; then - - echo "$as_me:$LINENO: checking if compiler accepts -m64 flag" >&5 -echo $ECHO_N "checking if compiler accepts -m64 flag... $ECHO_C" >&6 -if test "${tcl_cv_cc_m64+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if compiler accepts -m64 flag" >&5 +$as_echo_n "checking if compiler accepts -m64 flag... " >&6; } +if ${tcl_cv_cc_m64+:} false; then : + $as_echo_n "(cached) " >&6 else hold_cflags=$CFLAGS CFLAGS="$CFLAGS -m64" - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -7420,62 +5680,35 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : tcl_cv_cc_m64=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_cc_m64=no + tcl_cv_cc_m64=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext CFLAGS=$hold_cflags fi -echo "$as_me:$LINENO: result: $tcl_cv_cc_m64" >&5 -echo "${ECHO_T}$tcl_cv_cc_m64" >&6 - if test $tcl_cv_cc_m64 = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_cc_m64" >&5 +$as_echo "$tcl_cv_cc_m64" >&6; } + if test $tcl_cv_cc_m64 = yes; then : CFLAGS="$CFLAGS -m64" do64bit_ok=yes fi - fi - # The combo of gcc + glibc has a bug related to inlining of # functions like strtod(). The -fno-builtin flag should address # this problem but it does not work. The -fno-inline flag is kind # of overkill but it works. Disable inlining only when one of the # files in compat/*.c is being linked in. - if test x"${USE_COMPAT}" != x; then + if test x"${USE_COMPAT}" != x; then : CFLAGS="$CFLAGS -fno-inline" fi - ;; Lynx*) SHLIB_CFLAGS="-fPIC" @@ -7485,12 +5718,11 @@ fi DL_OBJS="tclLoadDl.o" DL_LIBS="-mshared -ldl" LD_FLAGS="-Wl,--export-dynamic" - if test $doRpath = yes; then + if test $doRpath = yes; then : CC_SEARCH_FLAGS='-Wl,-rpath,${LIB_RUNTIME_DIR}' LD_SEARCH_FLAGS='-Wl,-rpath,${LIB_RUNTIME_DIR}' fi - ;; MP-RAS-02*) SHLIB_CFLAGS="-K PIC" @@ -7536,11 +5768,10 @@ fi SHLIB_SUFFIX=".so" DL_OBJS="tclLoadDl.o" DL_LIBS="" - if test $doRpath = yes; then + if test $doRpath = yes; then : CC_SEARCH_FLAGS='-Wl,-rpath,${LIB_RUNTIME_DIR}' fi - LD_SEARCH_FLAGS=${CC_SEARCH_FLAGS} SHARED_LIB_SUFFIX='${TCL_TRIM_DOTS}.so.${SHLIB_VERSION}' LDFLAGS="-Wl,-export-dynamic" @@ -7557,7 +5788,7 @@ fi CFLAGS_OPTIMIZE="-O2" ;; esac - if test "${TCL_THREADS}" = "1"; then + if test "${TCL_THREADS}" = "1"; then : # On OpenBSD: Compile with -pthread # Don't link with -lpthread @@ -7565,7 +5796,6 @@ fi CFLAGS="$CFLAGS -pthread" fi - # OpenBSD doesn't do version numbers with dots. UNSHARED_LIB_SUFFIX='${TCL_TRIM_DOTS}.a' TCL_LIB_VERSIONS_OK=nodots @@ -7578,13 +5808,12 @@ fi DL_OBJS="tclLoadDl.o" DL_LIBS="" LDFLAGS="$LDFLAGS -export-dynamic" - if test $doRpath = yes; then + if test $doRpath = yes; then : CC_SEARCH_FLAGS='-Wl,-rpath,${LIB_RUNTIME_DIR}' fi - LD_SEARCH_FLAGS=${CC_SEARCH_FLAGS} - if test "${TCL_THREADS}" = "1"; then + if test "${TCL_THREADS}" = "1"; then : # The -pthread needs to go in the CFLAGS, not LIBS LIBS=`echo $LIBS | sed s/-pthread//` @@ -7592,7 +5821,6 @@ fi LDFLAGS="$LDFLAGS -pthread" fi - ;; FreeBSD-*) # This configuration from FreeBSD Ports. @@ -7603,20 +5831,18 @@ fi DL_OBJS="tclLoadDl.o" DL_LIBS="" LDFLAGS="" - if test $doRpath = yes; then + if test $doRpath = yes; then : CC_SEARCH_FLAGS='-Wl,-rpath,${LIB_RUNTIME_DIR}' LD_SEARCH_FLAGS='-Wl,-rpath,${LIB_RUNTIME_DIR}' fi - - if test "${TCL_THREADS}" = "1"; then + if test "${TCL_THREADS}" = "1"; then : # The -pthread needs to go in the LDFLAGS, not LIBS LIBS=`echo $LIBS | sed s/-pthread//` CFLAGS="$CFLAGS $PTHREAD_CFLAGS" LDFLAGS="$LDFLAGS $PTHREAD_LIBS" fi - case $system in FreeBSD-3.*) # Version numbers are dot-stripped by system policy. @@ -7639,23 +5865,19 @@ fi CFLAGS="`echo " ${CFLAGS}" | \ awk 'BEGIN {FS=" +-";ORS=" "}; {for (i=2;i<=NF;i++) \ if (!($i~/^(isysroot|mmacosx-version-min)/)) print "-"$i}'`" - if test $do64bit = yes; then + if test $do64bit = yes; then : case `arch` in ppc) - echo "$as_me:$LINENO: checking if compiler accepts -arch ppc64 flag" >&5 -echo $ECHO_N "checking if compiler accepts -arch ppc64 flag... $ECHO_C" >&6 -if test "${tcl_cv_cc_arch_ppc64+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if compiler accepts -arch ppc64 flag" >&5 +$as_echo_n "checking if compiler accepts -arch ppc64 flag... " >&6; } +if ${tcl_cv_cc_arch_ppc64+:} false; then : + $as_echo_n "(cached) " >&6 else hold_cflags=$CFLAGS CFLAGS="$CFLAGS -arch ppc64 -mpowerpc64 -mcpu=G5" - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -7666,62 +5888,33 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : tcl_cv_cc_arch_ppc64=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_cc_arch_ppc64=no + tcl_cv_cc_arch_ppc64=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext CFLAGS=$hold_cflags fi -echo "$as_me:$LINENO: result: $tcl_cv_cc_arch_ppc64" >&5 -echo "${ECHO_T}$tcl_cv_cc_arch_ppc64" >&6 - if test $tcl_cv_cc_arch_ppc64 = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_cc_arch_ppc64" >&5 +$as_echo "$tcl_cv_cc_arch_ppc64" >&6; } + if test $tcl_cv_cc_arch_ppc64 = yes; then : CFLAGS="$CFLAGS -arch ppc64 -mpowerpc64 -mcpu=G5" do64bit_ok=yes -fi -;; +fi;; i386) - echo "$as_me:$LINENO: checking if compiler accepts -arch x86_64 flag" >&5 -echo $ECHO_N "checking if compiler accepts -arch x86_64 flag... $ECHO_C" >&6 -if test "${tcl_cv_cc_arch_x86_64+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if compiler accepts -arch x86_64 flag" >&5 +$as_echo_n "checking if compiler accepts -arch x86_64 flag... " >&6; } +if ${tcl_cv_cc_arch_x86_64+:} false; then : + $as_echo_n "(cached) " >&6 else hold_cflags=$CFLAGS CFLAGS="$CFLAGS -arch x86_64" - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -7732,79 +5925,48 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : tcl_cv_cc_arch_x86_64=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_cc_arch_x86_64=no + tcl_cv_cc_arch_x86_64=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext CFLAGS=$hold_cflags fi -echo "$as_me:$LINENO: result: $tcl_cv_cc_arch_x86_64" >&5 -echo "${ECHO_T}$tcl_cv_cc_arch_x86_64" >&6 - if test $tcl_cv_cc_arch_x86_64 = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_cc_arch_x86_64" >&5 +$as_echo "$tcl_cv_cc_arch_x86_64" >&6; } + if test $tcl_cv_cc_arch_x86_64 = yes; then : CFLAGS="$CFLAGS -arch x86_64" do64bit_ok=yes -fi -;; +fi;; *) - { echo "$as_me:$LINENO: WARNING: Don't know how enable 64-bit on architecture \`arch\`" >&5 -echo "$as_me: WARNING: Don't know how enable 64-bit on architecture \`arch\`" >&2;};; + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: Don't know how enable 64-bit on architecture \`arch\`" >&5 +$as_echo "$as_me: WARNING: Don't know how enable 64-bit on architecture \`arch\`" >&2;};; esac else # Check for combined 32-bit and 64-bit fat build if echo "$CFLAGS " |grep -E -q -- '-arch (ppc64|x86_64) ' \ - && echo "$CFLAGS " |grep -E -q -- '-arch (ppc|i386) '; then + && echo "$CFLAGS " |grep -E -q -- '-arch (ppc|i386) '; then : fat_32_64=yes fi - fi - SHLIB_LD='${CC} -dynamiclib ${CFLAGS} ${LDFLAGS}' - echo "$as_me:$LINENO: checking if ld accepts -single_module flag" >&5 -echo $ECHO_N "checking if ld accepts -single_module flag... $ECHO_C" >&6 -if test "${tcl_cv_ld_single_module+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if ld accepts -single_module flag" >&5 +$as_echo_n "checking if ld accepts -single_module flag... " >&6; } +if ${tcl_cv_ld_single_module+:} false; then : + $as_echo_n "(cached) " >&6 else hold_ldflags=$LDFLAGS LDFLAGS="$LDFLAGS -dynamiclib -Wl,-single_module" - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -7815,71 +5977,41 @@ int i; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : tcl_cv_ld_single_module=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_ld_single_module=no + tcl_cv_ld_single_module=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext LDFLAGS=$hold_ldflags fi -echo "$as_me:$LINENO: result: $tcl_cv_ld_single_module" >&5 -echo "${ECHO_T}$tcl_cv_ld_single_module" >&6 - if test $tcl_cv_ld_single_module = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_ld_single_module" >&5 +$as_echo "$tcl_cv_ld_single_module" >&6; } + if test $tcl_cv_ld_single_module = yes; then : SHLIB_LD="${SHLIB_LD} -Wl,-single_module" fi - SHLIB_SUFFIX=".dylib" DL_OBJS="tclLoadDyld.o" DL_LIBS="" # Don't use -prebind when building for Mac OS X 10.4 or later only: if test "`echo "${MACOSX_DEPLOYMENT_TARGET}" | awk -F '10\\.' '{print int($2)}'`" -lt 4 -a \ - "`echo "${CPPFLAGS}" | awk -F '-mmacosx-version-min=10\\.' '{print int($2)}'`" -lt 4; then + "`echo "${CPPFLAGS}" | awk -F '-mmacosx-version-min=10\\.' '{print int($2)}'`" -lt 4; then : LDFLAGS="$LDFLAGS -prebind" fi - LDFLAGS="$LDFLAGS -headerpad_max_install_names" - echo "$as_me:$LINENO: checking if ld accepts -search_paths_first flag" >&5 -echo $ECHO_N "checking if ld accepts -search_paths_first flag... $ECHO_C" >&6 -if test "${tcl_cv_ld_search_paths_first+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if ld accepts -search_paths_first flag" >&5 +$as_echo_n "checking if ld accepts -search_paths_first flag... " >&6; } +if ${tcl_cv_ld_search_paths_first+:} false; then : + $as_echo_n "(cached) " >&6 else hold_ldflags=$LDFLAGS LDFLAGS="$LDFLAGS -Wl,-search_paths_first" - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -7890,88 +6022,58 @@ int i; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : tcl_cv_ld_search_paths_first=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_ld_search_paths_first=no + tcl_cv_ld_search_paths_first=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext LDFLAGS=$hold_ldflags fi -echo "$as_me:$LINENO: result: $tcl_cv_ld_search_paths_first" >&5 -echo "${ECHO_T}$tcl_cv_ld_search_paths_first" >&6 - if test $tcl_cv_ld_search_paths_first = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_ld_search_paths_first" >&5 +$as_echo "$tcl_cv_ld_search_paths_first" >&6; } + if test $tcl_cv_ld_search_paths_first = yes; then : LDFLAGS="$LDFLAGS -Wl,-search_paths_first" fi + if test "$tcl_cv_cc_visibility_hidden" != yes; then : - if test "$tcl_cv_cc_visibility_hidden" != yes; then - -cat >>confdefs.h <<\_ACEOF -#define MODULE_SCOPE __private_extern__ -_ACEOF +$as_echo "#define MODULE_SCOPE __private_extern__" >>confdefs.h fi - CC_SEARCH_FLAGS="" LD_SEARCH_FLAGS="" LD_LIBRARY_PATH_VAR="DYLD_LIBRARY_PATH" -cat >>confdefs.h <<\_ACEOF -#define MAC_OSX_TCL 1 -_ACEOF +$as_echo "#define MAC_OSX_TCL 1" >>confdefs.h PLAT_OBJS='${MAC_OSX_OBJS}' PLAT_SRCS='${MAC_OSX_SRCS}' - echo "$as_me:$LINENO: checking whether to use CoreFoundation" >&5 -echo $ECHO_N "checking whether to use CoreFoundation... $ECHO_C" >&6 - # Check whether --enable-corefoundation or --disable-corefoundation was given. -if test "${enable_corefoundation+set}" = set; then - enableval="$enable_corefoundation" - tcl_corefoundation=$enableval + { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether to use CoreFoundation" >&5 +$as_echo_n "checking whether to use CoreFoundation... " >&6; } + # Check whether --enable-corefoundation was given. +if test "${enable_corefoundation+set}" = set; then : + enableval=$enable_corefoundation; tcl_corefoundation=$enableval else tcl_corefoundation=yes -fi; - echo "$as_me:$LINENO: result: $tcl_corefoundation" >&5 -echo "${ECHO_T}$tcl_corefoundation" >&6 - if test $tcl_corefoundation = yes; then +fi + + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_corefoundation" >&5 +$as_echo "$tcl_corefoundation" >&6; } + if test $tcl_corefoundation = yes; then : - echo "$as_me:$LINENO: checking for CoreFoundation.framework" >&5 -echo $ECHO_N "checking for CoreFoundation.framework... $ECHO_C" >&6 -if test "${tcl_cv_lib_corefoundation+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for CoreFoundation.framework" >&5 +$as_echo_n "checking for CoreFoundation.framework... " >&6; } +if ${tcl_cv_lib_corefoundation+:} false; then : + $as_echo_n "(cached) " >&6 else hold_libs=$LIBS - if test "$fat_32_64" = yes; then + if test "$fat_32_64" = yes; then : for v in CFLAGS CPPFLAGS LDFLAGS; do # On Tiger there is no 64-bit CF, so remove 64-bit @@ -7981,13 +6083,8 @@ else eval 'hold_'$v'="$'$v'";'$v'="`echo "$'$v' "|sed -e "s/-arch ppc64 / /g" -e "s/-arch x86_64 / /g"`"' done fi - LIBS="$LIBS -framework CoreFoundation" - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include int @@ -7998,77 +6095,45 @@ CFBundleRef b = CFBundleGetMainBundle(); return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : tcl_cv_lib_corefoundation=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_lib_corefoundation=no + tcl_cv_lib_corefoundation=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext - if test "$fat_32_64" = yes; then +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext + if test "$fat_32_64" = yes; then : for v in CFLAGS CPPFLAGS LDFLAGS; do eval $v'="$hold_'$v'"' done fi - LIBS=$hold_libs fi -echo "$as_me:$LINENO: result: $tcl_cv_lib_corefoundation" >&5 -echo "${ECHO_T}$tcl_cv_lib_corefoundation" >&6 - if test $tcl_cv_lib_corefoundation = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_lib_corefoundation" >&5 +$as_echo "$tcl_cv_lib_corefoundation" >&6; } + if test $tcl_cv_lib_corefoundation = yes; then : LIBS="$LIBS -framework CoreFoundation" -cat >>confdefs.h <<\_ACEOF -#define HAVE_COREFOUNDATION 1 -_ACEOF +$as_echo "#define HAVE_COREFOUNDATION 1" >>confdefs.h else tcl_corefoundation=no fi + if test "$fat_32_64" = yes -a $tcl_corefoundation = yes; then : - if test "$fat_32_64" = yes -a $tcl_corefoundation = yes; then - - echo "$as_me:$LINENO: checking for 64-bit CoreFoundation" >&5 -echo $ECHO_N "checking for 64-bit CoreFoundation... $ECHO_C" >&6 -if test "${tcl_cv_lib_corefoundation_64+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for 64-bit CoreFoundation" >&5 +$as_echo_n "checking for 64-bit CoreFoundation... " >&6; } +if ${tcl_cv_lib_corefoundation_64+:} false; then : + $as_echo_n "(cached) " >&6 else for v in CFLAGS CPPFLAGS LDFLAGS; do eval 'hold_'$v'="$'$v'";'$v'="`echo "$'$v' "|sed -e "s/-arch ppc / /g" -e "s/-arch i386 / /g"`"' done - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include int @@ -8079,60 +6144,31 @@ CFBundleRef b = CFBundleGetMainBundle(); return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : tcl_cv_lib_corefoundation_64=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_lib_corefoundation_64=no + tcl_cv_lib_corefoundation_64=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext for v in CFLAGS CPPFLAGS LDFLAGS; do eval $v'="$hold_'$v'"' done fi -echo "$as_me:$LINENO: result: $tcl_cv_lib_corefoundation_64" >&5 -echo "${ECHO_T}$tcl_cv_lib_corefoundation_64" >&6 - if test $tcl_cv_lib_corefoundation_64 = no; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_lib_corefoundation_64" >&5 +$as_echo "$tcl_cv_lib_corefoundation_64" >&6; } + if test $tcl_cv_lib_corefoundation_64 = no; then : -cat >>confdefs.h <<\_ACEOF -#define NO_COREFOUNDATION_64 1 -_ACEOF +$as_echo "#define NO_COREFOUNDATION_64 1" >>confdefs.h LDFLAGS="$LDFLAGS -Wl,-no_arch_warnings" fi - fi - fi - ;; NEXTSTEP-*) SHLIB_CFLAGS="" @@ -8148,9 +6184,7 @@ fi SHLIB_LD_LIBS="" CFLAGS_OPTIMIZE="" # Optimizer is buggy -cat >>confdefs.h <<\_ACEOF -#define _OE_SOCKETS 1 -_ACEOF +$as_echo "#define _OE_SOCKETS 1" >>confdefs.h ;; OSF1-1.0|OSF1-1.1|OSF1-1.2) @@ -8168,14 +6202,13 @@ _ACEOF OSF1-1.*) # OSF/1 1.3 from OSF using ELF, and derivatives, including AD2 SHLIB_CFLAGS="-fPIC" - if test "$SHARED_BUILD" = 1; then + if test "$SHARED_BUILD" = 1; then : SHLIB_LD="ld -shared" else SHLIB_LD="ld -non_shared" fi - SHLIB_LD_LIBS="" SHLIB_SUFFIX=".so" DL_OBJS="tclLoadDl.o" @@ -8186,7 +6219,7 @@ fi OSF1-V*) # Digital OSF/1 SHLIB_CFLAGS="" - if test "$SHARED_BUILD" = 1; then + if test "$SHARED_BUILD" = 1; then : SHLIB_LD='ld -shared -expect_unresolved "*"' @@ -8195,30 +6228,27 @@ else SHLIB_LD='ld -non_shared -expect_unresolved "*"' fi - SHLIB_SUFFIX=".so" DL_OBJS="tclLoadDl.o" DL_LIBS="" - if test $doRpath = yes; then + if test $doRpath = yes; then : CC_SEARCH_FLAGS='-Wl,-rpath,${LIB_RUNTIME_DIR}' LD_SEARCH_FLAGS='-rpath ${LIB_RUNTIME_DIR}' fi - - if test "$GCC" = yes; then + if test "$GCC" = yes; then : CFLAGS="$CFLAGS -mieee" else CFLAGS="$CFLAGS -DHAVE_TZSET -std1 -ieee" fi - # see pthread_intro(3) for pthread support on osf1, k.furukawa - if test "${TCL_THREADS}" = 1; then + if test "${TCL_THREADS}" = 1; then : CFLAGS="$CFLAGS -DHAVE_PTHREAD_ATTR_SETSTACKSIZE" CFLAGS="$CFLAGS -DTCL_THREAD_STACK_MIN=PTHREAD_STACK_MIN*64" LIBS=`echo $LIBS | sed s/-lpthreads//` - if test "$GCC" = yes; then + if test "$GCC" = yes; then : LIBS="$LIBS -lpthread -lmach -lexc" @@ -8229,9 +6259,7 @@ else fi - fi - ;; QNX-6*) # QNX RTP @@ -8250,7 +6278,7 @@ fi # Note, dlopen is available only on SCO 3.2.5 and greater. However, # this test works, since "uname -s" was non-standard in 3.2.4 and # below. - if test "$GCC" = yes; then + if test "$GCC" = yes; then : SHLIB_CFLAGS="-fPIC -melf" LDFLAGS="$LDFLAGS -melf -Wl,-Bexport" @@ -8261,7 +6289,6 @@ else LDFLAGS="$LDFLAGS -belf -Wl,-Bexport" fi - SHLIB_LD="ld -G" SHLIB_LD_LIBS="" SHLIB_SUFFIX=".so" @@ -8306,21 +6333,17 @@ fi # won't define thread-safe library routines. -cat >>confdefs.h <<\_ACEOF -#define _REENTRANT 1 -_ACEOF +$as_echo "#define _REENTRANT 1" >>confdefs.h -cat >>confdefs.h <<\_ACEOF -#define _POSIX_PTHREAD_SEMANTICS 1 -_ACEOF +$as_echo "#define _POSIX_PTHREAD_SEMANTICS 1" >>confdefs.h SHLIB_CFLAGS="-KPIC" SHLIB_SUFFIX=".so" DL_OBJS="tclLoadDl.o" DL_LIBS="-ldl" - if test "$GCC" = yes; then + if test "$GCC" = yes; then : SHLIB_LD='${CC} -shared' CC_SEARCH_FLAGS='-Wl,-R,${LIB_RUNTIME_DIR}' @@ -8333,37 +6356,32 @@ else LD_SEARCH_FLAGS=${CC_SEARCH_FLAGS} fi - ;; SunOS-5*) # Note: If _REENTRANT isn't defined, then Solaris # won't define thread-safe library routines. -cat >>confdefs.h <<\_ACEOF -#define _REENTRANT 1 -_ACEOF +$as_echo "#define _REENTRANT 1" >>confdefs.h -cat >>confdefs.h <<\_ACEOF -#define _POSIX_PTHREAD_SEMANTICS 1 -_ACEOF +$as_echo "#define _POSIX_PTHREAD_SEMANTICS 1" >>confdefs.h SHLIB_CFLAGS="-KPIC" # Check to enable 64-bit flags for compiler/linker - if test "$do64bit" = yes; then + if test "$do64bit" = yes; then : arch=`isainfo` - if test "$arch" = "sparcv9 sparc"; then + if test "$arch" = "sparcv9 sparc"; then : - if test "$GCC" = yes; then + if test "$GCC" = yes; then : - if test "`${CC} -dumpversion | awk -F. '{print $1}'`" -lt 3; then + if test "`${CC} -dumpversion | awk -F. '{print $1}'`" -lt 3; then : - { echo "$as_me:$LINENO: WARNING: 64bit mode not supported with GCC < 3.2 on $system" >&5 -echo "$as_me: WARNING: 64bit mode not supported with GCC < 3.2 on $system" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: 64bit mode not supported with GCC < 3.2 on $system" >&5 +$as_echo "$as_me: WARNING: 64bit mode not supported with GCC < 3.2 on $system" >&2;} else @@ -8374,11 +6392,10 @@ else fi - else do64bit_ok=yes - if test "$do64bitVIS" = yes; then + if test "$do64bitVIS" = yes; then : CFLAGS="$CFLAGS -xarch=v9a" LDFLAGS_ARCH="-xarch=v9a" @@ -8389,17 +6406,15 @@ else LDFLAGS_ARCH="-xarch=v9" fi - # Solaris 64 uses this as well #LD_LIBRARY_PATH_VAR="LD_LIBRARY_PATH_64" fi - else - if test "$arch" = "amd64 i386"; then + if test "$arch" = "amd64 i386"; then : - if test "$GCC" = yes; then + if test "$GCC" = yes; then : case $system in SunOS-5.1[1-9]*|SunOS-5.[2-9][0-9]*) @@ -8407,8 +6422,8 @@ else CFLAGS="$CFLAGS -m64" LDFLAGS="$LDFLAGS -m64";; *) - { echo "$as_me:$LINENO: WARNING: 64bit mode not supported with GCC on $system" >&5 -echo "$as_me: WARNING: 64bit mode not supported with GCC on $system" >&2;};; + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: 64bit mode not supported with GCC on $system" >&5 +$as_echo "$as_me: WARNING: 64bit mode not supported with GCC on $system" >&2;};; esac else @@ -8425,169 +6440,32 @@ else fi - else - { echo "$as_me:$LINENO: WARNING: 64bit mode not supported for $arch" >&5 -echo "$as_me: WARNING: 64bit mode not supported for $arch" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: 64bit mode not supported for $arch" >&5 +$as_echo "$as_me: WARNING: 64bit mode not supported for $arch" >&2;} fi - fi - fi - #-------------------------------------------------------------------- # On Solaris 5.x i386 with the sunpro compiler we need to link # with sunmath to get floating point rounding control #-------------------------------------------------------------------- - if test "$GCC" = yes; then + if test "$GCC" = yes; then : use_sunmath=no else arch=`isainfo` - echo "$as_me:$LINENO: checking whether to use -lsunmath for fp rounding control" >&5 -echo $ECHO_N "checking whether to use -lsunmath for fp rounding control... $ECHO_C" >&6 - if test "$arch" = "amd64 i386" -o "$arch" = "i386"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether to use -lsunmath for fp rounding control" >&5 +$as_echo_n "checking whether to use -lsunmath for fp rounding control... " >&6; } + if test "$arch" = "amd64 i386" -o "$arch" = "i386"; then : - echo "$as_me:$LINENO: result: yes" >&5 -echo "${ECHO_T}yes" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: yes" >&5 +$as_echo "yes" >&6; } MATH_LIBS="-lsunmath $MATH_LIBS" - if test "${ac_cv_header_sunmath_h+set}" = set; then - echo "$as_me:$LINENO: checking for sunmath.h" >&5 -echo $ECHO_N "checking for sunmath.h... $ECHO_C" >&6 -if test "${ac_cv_header_sunmath_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -fi -echo "$as_me:$LINENO: result: $ac_cv_header_sunmath_h" >&5 -echo "${ECHO_T}$ac_cv_header_sunmath_h" >&6 -else - # Is the header compilable? -echo "$as_me:$LINENO: checking sunmath.h usability" >&5 -echo $ECHO_N "checking sunmath.h usability... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -#include -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_header_compiler=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_header_compiler=no -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_compiler" >&5 -echo "${ECHO_T}$ac_header_compiler" >&6 - -# Is the header present? -echo "$as_me:$LINENO: checking sunmath.h presence" >&5 -echo $ECHO_N "checking sunmath.h presence... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include -_ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes -fi -if test -z "$ac_cpp_err"; then - ac_header_preproc=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - - ac_header_preproc=no -fi -rm -f conftest.err conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_preproc" >&5 -echo "${ECHO_T}$ac_header_preproc" >&6 - -# So? What about this header? -case $ac_header_compiler:$ac_header_preproc:$ac_c_preproc_warn_flag in - yes:no: ) - { echo "$as_me:$LINENO: WARNING: sunmath.h: accepted by the compiler, rejected by the preprocessor!" >&5 -echo "$as_me: WARNING: sunmath.h: accepted by the compiler, rejected by the preprocessor!" >&2;} - { echo "$as_me:$LINENO: WARNING: sunmath.h: proceeding with the compiler's result" >&5 -echo "$as_me: WARNING: sunmath.h: proceeding with the compiler's result" >&2;} - ac_header_preproc=yes - ;; - no:yes:* ) - { echo "$as_me:$LINENO: WARNING: sunmath.h: present but cannot be compiled" >&5 -echo "$as_me: WARNING: sunmath.h: present but cannot be compiled" >&2;} - { echo "$as_me:$LINENO: WARNING: sunmath.h: check for missing prerequisite headers?" >&5 -echo "$as_me: WARNING: sunmath.h: check for missing prerequisite headers?" >&2;} - { echo "$as_me:$LINENO: WARNING: sunmath.h: see the Autoconf documentation" >&5 -echo "$as_me: WARNING: sunmath.h: see the Autoconf documentation" >&2;} - { echo "$as_me:$LINENO: WARNING: sunmath.h: section \"Present But Cannot Be Compiled\"" >&5 -echo "$as_me: WARNING: sunmath.h: section \"Present But Cannot Be Compiled\"" >&2;} - { echo "$as_me:$LINENO: WARNING: sunmath.h: proceeding with the preprocessor's result" >&5 -echo "$as_me: WARNING: sunmath.h: proceeding with the preprocessor's result" >&2;} - { echo "$as_me:$LINENO: WARNING: sunmath.h: in the future, the compiler will take precedence" >&5 -echo "$as_me: WARNING: sunmath.h: in the future, the compiler will take precedence" >&2;} - ( - cat <<\_ASBOX -## ------------------------------ ## -## Report this to the tcl lists. ## -## ------------------------------ ## -_ASBOX - ) | - sed "s/^/$as_me: WARNING: /" >&2 - ;; -esac -echo "$as_me:$LINENO: checking for sunmath.h" >&5 -echo $ECHO_N "checking for sunmath.h... $ECHO_C" >&6 -if test "${ac_cv_header_sunmath_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - ac_cv_header_sunmath_h=$ac_header_preproc -fi -echo "$as_me:$LINENO: result: $ac_cv_header_sunmath_h" >&5 -echo "${ECHO_T}$ac_cv_header_sunmath_h" >&6 + ac_fn_c_check_header_mongrel "$LINENO" "sunmath.h" "ac_cv_header_sunmath_h" "$ac_includes_default" +if test "x$ac_cv_header_sunmath_h" = xyes; then : fi @@ -8596,26 +6474,24 @@ fi else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } use_sunmath=no fi - fi - SHLIB_SUFFIX=".so" DL_OBJS="tclLoadDl.o" DL_LIBS="-ldl" - if test "$GCC" = yes; then + if test "$GCC" = yes; then : SHLIB_LD='${CC} -shared' CC_SEARCH_FLAGS='-Wl,-R,${LIB_RUNTIME_DIR}' LD_SEARCH_FLAGS=${CC_SEARCH_FLAGS} - if test "$do64bit_ok" = yes; then + if test "$do64bit_ok" = yes; then : - if test "$arch" = "sparcv9 sparc"; then + if test "$arch" = "sparcv9 sparc"; then : # We need to specify -static-libgcc or we need to # add the path to the sparv9 libgcc. @@ -8626,26 +6502,22 @@ fi #CC_SEARCH_FLAGS="${CC_SEARCH_FLAGS},-R,$v9gcclibdir" else - if test "$arch" = "amd64 i386"; then + if test "$arch" = "amd64 i386"; then : SHLIB_LD="$SHLIB_LD -m64 -static-libgcc" fi - fi - fi - else - if test "$use_sunmath" = yes; then + if test "$use_sunmath" = yes; then : textmode=textoff else textmode=text fi - case $system in SunOS-5.[1-9][0-9]*|SunOS-5.[7-9]) SHLIB_LD="\${CC} -G -z $textmode \${LDFLAGS}";; @@ -8656,7 +6528,6 @@ fi LD_SEARCH_FLAGS='-R ${LIB_RUNTIME_DIR}' fi - ;; UNIX_SV* | UnixWare-5*) SHLIB_CFLAGS="-KPIC" @@ -8667,19 +6538,15 @@ fi DL_LIBS="-ldl" # Some UNIX_SV* systems (unixware 1.1.2 for example) have linkers # that don't grok the -Bexport option. Test that it does. - echo "$as_me:$LINENO: checking for ld accepts -Bexport flag" >&5 -echo $ECHO_N "checking for ld accepts -Bexport flag... $ECHO_C" >&6 -if test "${tcl_cv_ld_Bexport+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for ld accepts -Bexport flag" >&5 +$as_echo_n "checking for ld accepts -Bexport flag... " >&6; } +if ${tcl_cv_ld_Bexport+:} false; then : + $as_echo_n "(cached) " >&6 else hold_ldflags=$LDFLAGS LDFLAGS="$LDFLAGS -Wl,-Bexport" - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -8690,93 +6557,63 @@ int i; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : tcl_cv_ld_Bexport=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_ld_Bexport=no + tcl_cv_ld_Bexport=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext LDFLAGS=$hold_ldflags fi -echo "$as_me:$LINENO: result: $tcl_cv_ld_Bexport" >&5 -echo "${ECHO_T}$tcl_cv_ld_Bexport" >&6 - if test $tcl_cv_ld_Bexport = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_ld_Bexport" >&5 +$as_echo "$tcl_cv_ld_Bexport" >&6; } + if test $tcl_cv_ld_Bexport = yes; then : LDFLAGS="$LDFLAGS -Wl,-Bexport" fi - CC_SEARCH_FLAGS="" LD_SEARCH_FLAGS="" ;; esac - if test "$do64bit" = yes -a "$do64bit_ok" = no; then + if test "$do64bit" = yes -a "$do64bit_ok" = no; then : - { echo "$as_me:$LINENO: WARNING: 64bit support being disabled -- don't know magic for this platform" >&5 -echo "$as_me: WARNING: 64bit support being disabled -- don't know magic for this platform" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: 64bit support being disabled -- don't know magic for this platform" >&5 +$as_echo "$as_me: WARNING: 64bit support being disabled -- don't know magic for this platform" >&2;} fi + if test "$do64bit" = yes -a "$do64bit_ok" = yes; then : - if test "$do64bit" = yes -a "$do64bit_ok" = yes; then - -cat >>confdefs.h <<\_ACEOF -#define TCL_CFG_DO64BIT 1 -_ACEOF +$as_echo "#define TCL_CFG_DO64BIT 1" >>confdefs.h fi - # Step 4: disable dynamic loading if requested via a command-line switch. - # Check whether --enable-load or --disable-load was given. -if test "${enable_load+set}" = set; then - enableval="$enable_load" - tcl_ok=$enableval + # Check whether --enable-load was given. +if test "${enable_load+set}" = set; then : + enableval=$enable_load; tcl_ok=$enableval else tcl_ok=yes -fi; - if test "$tcl_ok" = no; then - DL_OBJS="" fi + if test "$tcl_ok" = no; then : + DL_OBJS="" +fi - if test "x$DL_OBJS" != x; then + if test "x$DL_OBJS" != x; then : BUILD_DLTEST="\$(DLTEST_TARGETS)" else - { echo "$as_me:$LINENO: WARNING: Can't figure out how to do dynamic loading or shared libraries on this system." >&5 -echo "$as_me: WARNING: Can't figure out how to do dynamic loading or shared libraries on this system." >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: Can't figure out how to do dynamic loading or shared libraries on this system." >&5 +$as_echo "$as_me: WARNING: Can't figure out how to do dynamic loading or shared libraries on this system." >&2;} SHLIB_CFLAGS="" SHLIB_LD="" SHLIB_SUFFIX="" @@ -8788,14 +6625,13 @@ echo "$as_me: WARNING: Can't figure out how to do dynamic loading or shared libr BUILD_DLTEST="" fi - LDFLAGS="$LDFLAGS $LDFLAGS_ARCH" # If we're running gcc, then change the C flags for compiling shared # libraries to the right flags for gcc, instead of those for the # standard manufacturer compiler. - if test "$DL_OBJS" != "tclLoadNone.o" -a "$GCC" = yes; then + if test "$DL_OBJS" != "tclLoadNone.o" -a "$GCC" = yes; then : case $system in AIX-*) ;; @@ -8809,35 +6645,29 @@ fi esac fi - - if test "$tcl_cv_cc_visibility_hidden" != yes; then + if test "$tcl_cv_cc_visibility_hidden" != yes; then : -cat >>confdefs.h <<\_ACEOF -#define MODULE_SCOPE extern -_ACEOF +$as_echo "#define MODULE_SCOPE extern" >>confdefs.h fi - - if test "$SHARED_LIB_SUFFIX" = ""; then + if test "$SHARED_LIB_SUFFIX" = ""; then : SHARED_LIB_SUFFIX='${VERSION}${SHLIB_SUFFIX}' fi - - if test "$UNSHARED_LIB_SUFFIX" = ""; then + if test "$UNSHARED_LIB_SUFFIX" = ""; then : UNSHARED_LIB_SUFFIX='${VERSION}.a' fi - DLL_INSTALL_DIR="\$(LIB_INSTALL_DIR)" - if test "${SHARED_BUILD}" = 1 -a "${SHLIB_SUFFIX}" != ""; then + if test "${SHARED_BUILD}" = 1 -a "${SHLIB_SUFFIX}" != ""; then : LIB_SUFFIX=${SHARED_LIB_SUFFIX} MAKE_LIB='${SHLIB_LD} -o $@ ${OBJS} ${SHLIB_LD_LIBS} ${TCL_SHLIB_LD_EXTRAS} ${TK_SHLIB_LD_EXTRAS} ${LD_SEARCH_FLAGS}' - if test "${SHLIB_SUFFIX}" = ".dll"; then + if test "${SHLIB_SUFFIX}" = ".dll"; then : INSTALL_LIB='$(INSTALL_LIBRARY) $(LIB_FILE) "$(BIN_INSTALL_DIR)/$(LIB_FILE)";if test -f $(LIB_FILE).a; then $(INSTALL_DATA) $(LIB_FILE).a "$(LIB_INSTALL_DIR)"; fi;' DLL_INSTALL_DIR="\$(BIN_INSTALL_DIR)" @@ -8848,12 +6678,11 @@ else fi - else LIB_SUFFIX=${UNSHARED_LIB_SUFFIX} - if test "$RANLIB" = ""; then + if test "$RANLIB" = ""; then : MAKE_LIB='$(STLIB_LD) $@ ${OBJS}' @@ -8862,14 +6691,12 @@ else MAKE_LIB='${STLIB_LD} $@ ${OBJS} ; ${RANLIB} $@' fi - INSTALL_LIB='$(INSTALL_LIBRARY) $(LIB_FILE) "$(LIB_INSTALL_DIR)/$(LIB_FILE)"' fi - # Stub lib does not depend on shared/static configuration - if test "$RANLIB" = ""; then + if test "$RANLIB" = ""; then : MAKE_STUB_LIB='${STLIB_LD} $@ ${STUB_LIB_OBJS}' @@ -8878,33 +6705,27 @@ else MAKE_STUB_LIB='${STLIB_LD} $@ ${STUB_LIB_OBJS} ; ${RANLIB} $@' fi - INSTALL_STUB_LIB='$(INSTALL_LIBRARY) $(STUB_LIB_FILE) "$(LIB_INSTALL_DIR)/$(STUB_LIB_FILE)"' # Define TCL_LIBS now that we know what DL_LIBS is. # The trick here is that we don't want to change the value of TCL_LIBS if # it is already set when tclConfig.sh had been loaded by Tk. - if test "x${TCL_LIBS}" = x; then + if test "x${TCL_LIBS}" = x; then : TCL_LIBS="${DL_LIBS} ${LIBS} ${MATH_LIBS}" fi - # See if the compiler supports casting to a union type. # This is used to stop gcc from printing a compiler # warning when initializing a union member. - echo "$as_me:$LINENO: checking for cast to union support" >&5 -echo $ECHO_N "checking for cast to union support... $ECHO_C" >&6 -if test "${tcl_cv_cast_to_union+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for cast to union support" >&5 +$as_echo_n "checking for cast to union support... " >&6; } +if ${tcl_cv_cast_to_union+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -8918,45 +6739,19 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_cast_to_union=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_cast_to_union=no + tcl_cv_cast_to_union=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_cast_to_union" >&5 -echo "${ECHO_T}$tcl_cv_cast_to_union" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_cast_to_union" >&5 +$as_echo "$tcl_cv_cast_to_union" >&6; } if test "$tcl_cv_cast_to_union" = "yes"; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_CAST_TO_UNION 1 -_ACEOF +$as_echo "#define HAVE_CAST_TO_UNION 1" >>confdefs.h fi @@ -9002,38 +6797,34 @@ _ACEOF - echo "$as_me:$LINENO: checking for build with symbols" >&5 -echo $ECHO_N "checking for build with symbols... $ECHO_C" >&6 - # Check whether --enable-symbols or --disable-symbols was given. -if test "${enable_symbols+set}" = set; then - enableval="$enable_symbols" - tcl_ok=$enableval + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for build with symbols" >&5 +$as_echo_n "checking for build with symbols... " >&6; } + # Check whether --enable-symbols was given. +if test "${enable_symbols+set}" = set; then : + enableval=$enable_symbols; tcl_ok=$enableval else tcl_ok=no -fi; +fi + # FIXME: Currently, LDFLAGS_DEFAULT is not used, it should work like CFLAGS_DEFAULT. DBGX="" if test "$tcl_ok" = "no"; then CFLAGS_DEFAULT='$(CFLAGS_OPTIMIZE)' LDFLAGS_DEFAULT='$(LDFLAGS_OPTIMIZE)' -cat >>confdefs.h <<\_ACEOF -#define NDEBUG 1 -_ACEOF +$as_echo "#define NDEBUG 1" >>confdefs.h - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } -cat >>confdefs.h <<\_ACEOF -#define TCL_CFG_OPTIMIZED 1 -_ACEOF +$as_echo "#define TCL_CFG_OPTIMIZED 1" >>confdefs.h else CFLAGS_DEFAULT='$(CFLAGS_DEBUG)' LDFLAGS_DEFAULT='$(LDFLAGS_DEBUG)' if test "$tcl_ok" = "yes"; then - echo "$as_me:$LINENO: result: yes (standard debugging)" >&5 -echo "${ECHO_T}yes (standard debugging)" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: yes (standard debugging)" >&5 +$as_echo "yes (standard debugging)" >&6; } fi fi @@ -9041,45 +6832,35 @@ echo "${ECHO_T}yes (standard debugging)" >&6 if test "$tcl_ok" = "mem" -o "$tcl_ok" = "all"; then -cat >>confdefs.h <<\_ACEOF -#define TCL_MEM_DEBUG 1 -_ACEOF +$as_echo "#define TCL_MEM_DEBUG 1" >>confdefs.h fi if test "$tcl_ok" = "compile" -o "$tcl_ok" = "all"; then -cat >>confdefs.h <<\_ACEOF -#define TCL_COMPILE_DEBUG 1 -_ACEOF +$as_echo "#define TCL_COMPILE_DEBUG 1" >>confdefs.h -cat >>confdefs.h <<\_ACEOF -#define TCL_COMPILE_STATS 1 -_ACEOF +$as_echo "#define TCL_COMPILE_STATS 1" >>confdefs.h fi if test "$tcl_ok" != "yes" -a "$tcl_ok" != "no"; then if test "$tcl_ok" = "all"; then - echo "$as_me:$LINENO: result: enabled symbols mem compile debugging" >&5 -echo "${ECHO_T}enabled symbols mem compile debugging" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: enabled symbols mem compile debugging" >&5 +$as_echo "enabled symbols mem compile debugging" >&6; } else - echo "$as_me:$LINENO: result: enabled $tcl_ok debugging" >&5 -echo "${ECHO_T}enabled $tcl_ok debugging" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: enabled $tcl_ok debugging" >&5 +$as_echo "enabled $tcl_ok debugging" >&6; } fi fi -cat >>confdefs.h <<\_ACEOF -#define TCL_TOMMATH 1 -_ACEOF +$as_echo "#define TCL_TOMMATH 1" >>confdefs.h -cat >>confdefs.h <<\_ACEOF -#define MP_PREC 4 -_ACEOF +$as_echo "#define MP_PREC 4" >>confdefs.h #-------------------------------------------------------------------- @@ -9087,18 +6868,14 @@ _ACEOF #-------------------------------------------------------------------- - echo "$as_me:$LINENO: checking for required early compiler flags" >&5 -echo $ECHO_N "checking for required early compiler flags... $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for required early compiler flags" >&5 +$as_echo_n "checking for required early compiler flags... " >&6; } tcl_flags="" - if test "${tcl_cv_flag__isoc99_source+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + if ${tcl_cv_flag__isoc99_source+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include int @@ -9109,38 +6886,10 @@ char *p = (char *)strtoll; char *q = (char *)strtoull; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_flag__isoc99_source=no else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #define _ISOC99_SOURCE 1 #include @@ -9152,58 +6901,28 @@ char *p = (char *)strtoll; char *q = (char *)strtoull; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_flag__isoc99_source=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_flag__isoc99_source=no + tcl_cv_flag__isoc99_source=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi if test "x${tcl_cv_flag__isoc99_source}" = "xyes" ; then -cat >>confdefs.h <<\_ACEOF -#define _ISOC99_SOURCE 1 -_ACEOF +$as_echo "#define _ISOC99_SOURCE 1" >>confdefs.h tcl_flags="$tcl_flags _ISOC99_SOURCE" fi - if test "${tcl_cv_flag__largefile64_source+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + if ${tcl_cv_flag__largefile64_source+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include int @@ -9214,38 +6933,10 @@ struct stat64 buf; int i = stat64("/", &buf); return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_flag__largefile64_source=no else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #define _LARGEFILE64_SOURCE 1 #include @@ -9257,58 +6948,28 @@ struct stat64 buf; int i = stat64("/", &buf); return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_flag__largefile64_source=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_flag__largefile64_source=no + tcl_cv_flag__largefile64_source=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi if test "x${tcl_cv_flag__largefile64_source}" = "xyes" ; then -cat >>confdefs.h <<\_ACEOF -#define _LARGEFILE64_SOURCE 1 -_ACEOF +$as_echo "#define _LARGEFILE64_SOURCE 1" >>confdefs.h tcl_flags="$tcl_flags _LARGEFILE64_SOURCE" fi - if test "${tcl_cv_flag__largefile_source64+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + if ${tcl_cv_flag__largefile_source64+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include int @@ -9319,38 +6980,10 @@ char *p = (char *)open64; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_flag__largefile_source64=no else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #define _LARGEFILE_SOURCE64 1 #include @@ -9362,72 +6995,42 @@ char *p = (char *)open64; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_flag__largefile_source64=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_flag__largefile_source64=no + tcl_cv_flag__largefile_source64=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi if test "x${tcl_cv_flag__largefile_source64}" = "xyes" ; then -cat >>confdefs.h <<\_ACEOF -#define _LARGEFILE_SOURCE64 1 -_ACEOF +$as_echo "#define _LARGEFILE_SOURCE64 1" >>confdefs.h tcl_flags="$tcl_flags _LARGEFILE_SOURCE64" fi if test "x${tcl_flags}" = "x" ; then - echo "$as_me:$LINENO: result: none" >&5 -echo "${ECHO_T}none" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: none" >&5 +$as_echo "none" >&6; } else - echo "$as_me:$LINENO: result: ${tcl_flags}" >&5 -echo "${ECHO_T}${tcl_flags}" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: ${tcl_flags}" >&5 +$as_echo "${tcl_flags}" >&6; } fi - echo "$as_me:$LINENO: checking for 64-bit integer type" >&5 -echo $ECHO_N "checking for 64-bit integer type... $ECHO_C" >&6 - if test "${tcl_cv_type_64bit+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for 64-bit integer type" >&5 +$as_echo_n "checking for 64-bit integer type... " >&6; } + if ${tcl_cv_type_64bit+:} false; then : + $as_echo_n "(cached) " >&6 else tcl_cv_type_64bit=none # See if the compiler knows natively about __int64 - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -9438,44 +7041,16 @@ __int64 value = (__int64) 0; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_type_64bit=__int64 else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_type_64bit="long long" + tcl_type_64bit="long long" fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext # See if we should use long anyway Note that we substitute in the # type that is our current guess for a 64-bit type inside this check # program, so it should be modified only carefully... - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -9488,66 +7063,35 @@ switch (0) { return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_type_64bit=${tcl_type_64bit} -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi if test "${tcl_cv_type_64bit}" = none ; then -cat >>confdefs.h <<\_ACEOF -#define TCL_WIDE_INT_IS_LONG 1 -_ACEOF +$as_echo "#define TCL_WIDE_INT_IS_LONG 1" >>confdefs.h - echo "$as_me:$LINENO: result: using long" >&5 -echo "${ECHO_T}using long" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: using long" >&5 +$as_echo "using long" >&6; } else cat >>confdefs.h <<_ACEOF #define TCL_WIDE_INT_TYPE ${tcl_cv_type_64bit} _ACEOF - echo "$as_me:$LINENO: result: ${tcl_cv_type_64bit}" >&5 -echo "${ECHO_T}${tcl_cv_type_64bit}" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: ${tcl_cv_type_64bit}" >&5 +$as_echo "${tcl_cv_type_64bit}" >&6; } # Now check for auxiliary declarations - echo "$as_me:$LINENO: checking for struct dirent64" >&5 -echo $ECHO_N "checking for struct dirent64... $ECHO_C" >&6 -if test "${tcl_cv_struct_dirent64+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for struct dirent64" >&5 +$as_echo_n "checking for struct dirent64... " >&6; } +if ${tcl_cv_struct_dirent64+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include #include @@ -9559,58 +7103,28 @@ struct dirent64 p; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_struct_dirent64=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_struct_dirent64=no + tcl_cv_struct_dirent64=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_struct_dirent64" >&5 -echo "${ECHO_T}$tcl_cv_struct_dirent64" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_struct_dirent64" >&5 +$as_echo "$tcl_cv_struct_dirent64" >&6; } if test "x${tcl_cv_struct_dirent64}" = "xyes" ; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_STRUCT_DIRENT64 1 -_ACEOF +$as_echo "#define HAVE_STRUCT_DIRENT64 1" >>confdefs.h fi - echo "$as_me:$LINENO: checking for struct stat64" >&5 -echo $ECHO_N "checking for struct stat64... $ECHO_C" >&6 -if test "${tcl_cv_struct_stat64+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for struct stat64" >&5 +$as_echo_n "checking for struct stat64... " >&6; } +if ${tcl_cv_struct_stat64+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include int @@ -9622,161 +7136,40 @@ struct stat64 p; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_struct_stat64=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_struct_stat64=no + tcl_cv_struct_stat64=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_struct_stat64" >&5 -echo "${ECHO_T}$tcl_cv_struct_stat64" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_struct_stat64" >&5 +$as_echo "$tcl_cv_struct_stat64" >&6; } if test "x${tcl_cv_struct_stat64}" = "xyes" ; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_STRUCT_STAT64 1 -_ACEOF +$as_echo "#define HAVE_STRUCT_STAT64 1" >>confdefs.h fi - - -for ac_func in open64 lseek64 -do -as_ac_var=`echo "ac_cv_func_$ac_func" | $as_tr_sh` -echo "$as_me:$LINENO: checking for $ac_func" >&5 -echo $ECHO_N "checking for $ac_func... $ECHO_C" >&6 -if eval "test \"\${$as_ac_var+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define $ac_func to an innocuous variant, in case declares $ac_func. - For example, HP-UX 11i declares gettimeofday. */ -#define $ac_func innocuous_$ac_func - -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char $ac_func (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ - -#ifdef __STDC__ -# include -#else -# include -#endif - -#undef $ac_func - -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char $ac_func (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_$ac_func) || defined (__stub___$ac_func) -choke me -#else -char (*f) () = $ac_func; -#endif -#ifdef __cplusplus -} -#endif - -int -main () -{ -return f != $ac_func; - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - eval "$as_ac_var=yes" -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -eval "$as_ac_var=no" -fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_var'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_var'}'`" >&6 -if test `eval echo '${'$as_ac_var'}'` = yes; then + for ac_func in open64 lseek64 +do : + as_ac_var=`$as_echo "ac_cv_func_$ac_func" | $as_tr_sh` +ac_fn_c_check_func "$LINENO" "$ac_func" "$as_ac_var" +if eval test \"x\$"$as_ac_var"\" = x"yes"; then : cat >>confdefs.h <<_ACEOF -#define `echo "HAVE_$ac_func" | $as_tr_cpp` 1 +#define `$as_echo "HAVE_$ac_func" | $as_tr_cpp` 1 _ACEOF fi done - echo "$as_me:$LINENO: checking for off64_t" >&5 -echo $ECHO_N "checking for off64_t... $ECHO_C" >&6 - if test "${tcl_cv_type_off64_t+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for off64_t" >&5 +$as_echo_n "checking for off64_t... " >&6; } + if ${tcl_cv_type_off64_t+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include int @@ -9788,51 +7181,25 @@ off64_t offset; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_type_off64_t=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_type_off64_t=no + tcl_cv_type_off64_t=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi if test "x${tcl_cv_type_off64_t}" = "xyes" && \ test "x${ac_cv_func_lseek64}" = "xyes" && \ test "x${ac_cv_func_open64}" = "xyes" ; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_TYPE_OFF64_T 1 -_ACEOF +$as_echo "#define HAVE_TYPE_OFF64_T 1" >>confdefs.h - echo "$as_me:$LINENO: result: yes" >&5 -echo "${ECHO_T}yes" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: yes" >&5 +$as_echo "yes" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi fi @@ -9842,235 +7209,229 @@ echo "${ECHO_T}no" >&6 # Tcl_UniChar strings to memcmp on big-endian systems. #-------------------------------------------------------------------- -echo "$as_me:$LINENO: checking whether byte ordering is bigendian" >&5 -echo $ECHO_N "checking whether byte ordering is bigendian... $ECHO_C" >&6 -if test "${ac_cv_c_bigendian+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether byte ordering is bigendian" >&5 +$as_echo_n "checking whether byte ordering is bigendian... " >&6; } +if ${ac_cv_c_bigendian+:} false; then : + $as_echo_n "(cached) " >&6 else - # See if sys/param.h defines the BYTE_ORDER macro. -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + ac_cv_c_bigendian=unknown + # See if we're dealing with a universal compiler. + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#ifndef __APPLE_CC__ + not a universal capable compiler + #endif + typedef int dummy; + +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + + # Check for potential -arch flags. It is not universal unless + # there are at least two -arch flags with different values. + ac_arch= + ac_prev= + for ac_word in $CC $CFLAGS $CPPFLAGS $LDFLAGS; do + if test -n "$ac_prev"; then + case $ac_word in + i?86 | x86_64 | ppc | ppc64) + if test -z "$ac_arch" || test "$ac_arch" = "$ac_word"; then + ac_arch=$ac_word + else + ac_cv_c_bigendian=universal + break + fi + ;; + esac + ac_prev= + elif test "x$ac_word" = "x-arch"; then + ac_prev=arch + fi + done +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext + if test $ac_cv_c_bigendian = unknown; then + # See if sys/param.h defines the BYTE_ORDER macro. + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include -#include + #include int main () { -#if !BYTE_ORDER || !BIG_ENDIAN || !LITTLE_ENDIAN - bogus endian macros -#endif +#if ! (defined BYTE_ORDER && defined BIG_ENDIAN \ + && defined LITTLE_ENDIAN && BYTE_ORDER && BIG_ENDIAN \ + && LITTLE_ENDIAN) + bogus endian macros + #endif ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : # It does; now see whether it defined to BIG_ENDIAN or not. -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include -#include + #include int main () { #if BYTE_ORDER != BIG_ENDIAN - not big endian -#endif + not big endian + #endif ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : ac_cv_c_bigendian=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_c_bigendian=no + ac_cv_c_bigendian=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -# It does not; compile a test program. -if test "$cross_compiling" = yes; then - # try to guess the endianness by grepping values into an object file - ac_cv_c_bigendian=unknown - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext + fi + if test $ac_cv_c_bigendian = unknown; then + # See if defines _LITTLE_ENDIAN or _BIG_ENDIAN (e.g., Solaris). + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -short ascii_mm[] = { 0x4249, 0x4765, 0x6E44, 0x6961, 0x6E53, 0x7953, 0 }; -short ascii_ii[] = { 0x694C, 0x5454, 0x656C, 0x6E45, 0x6944, 0x6E61, 0 }; -void _ascii () { char *s = (char *) ascii_mm; s = (char *) ascii_ii; } -short ebcdic_ii[] = { 0x89D3, 0xE3E3, 0x8593, 0x95C5, 0x89C4, 0x9581, 0 }; -short ebcdic_mm[] = { 0xC2C9, 0xC785, 0x95C4, 0x8981, 0x95E2, 0xA8E2, 0 }; -void _ebcdic () { char *s = (char *) ebcdic_mm; s = (char *) ebcdic_ii; } +#include + int main () { - _ascii (); _ebcdic (); +#if ! (defined _LITTLE_ENDIAN || defined _BIG_ENDIAN) + bogus endian macros + #endif + ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - if grep BIGenDianSyS conftest.$ac_objext >/dev/null ; then - ac_cv_c_bigendian=yes -fi -if grep LiTTleEnDian conftest.$ac_objext >/dev/null ; then - if test "$ac_cv_c_bigendian" = unknown; then - ac_cv_c_bigendian=no - else - # finding both strings is unlikely to happen, but who knows? - ac_cv_c_bigendian=unknown - fi -fi +if ac_fn_c_try_compile "$LINENO"; then : + # It does; now see whether it defined to _BIG_ENDIAN or not. + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include + +int +main () +{ +#ifndef _BIG_ENDIAN + not big endian + #endif + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + ac_cv_c_bigendian=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 + ac_cv_c_bigendian=no +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext + fi + if test $ac_cv_c_bigendian = unknown; then + # Compile a test program. + if test "$cross_compiling" = yes; then : + # Try to guess by grepping values from an object file. + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +short int ascii_mm[] = + { 0x4249, 0x4765, 0x6E44, 0x6961, 0x6E53, 0x7953, 0 }; + short int ascii_ii[] = + { 0x694C, 0x5454, 0x656C, 0x6E45, 0x6944, 0x6E61, 0 }; + int use_ascii (int i) { + return ascii_mm[i] + ascii_ii[i]; + } + short int ebcdic_ii[] = + { 0x89D3, 0xE3E3, 0x8593, 0x95C5, 0x89C4, 0x9581, 0 }; + short int ebcdic_mm[] = + { 0xC2C9, 0xC785, 0x95C4, 0x8981, 0x95E2, 0xA8E2, 0 }; + int use_ebcdic (int i) { + return ebcdic_mm[i] + ebcdic_ii[i]; + } + extern int foo; +int +main () +{ +return use_ascii (foo) == use_ebcdic (foo); + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + if grep BIGenDianSyS conftest.$ac_objext >/dev/null; then + ac_cv_c_bigendian=yes + fi + if grep LiTTleEnDian conftest.$ac_objext >/dev/null ; then + if test "$ac_cv_c_bigendian" = unknown; then + ac_cv_c_bigendian=no + else + # finding both strings is unlikely to happen, but who knows? + ac_cv_c_bigendian=unknown + fi + fi fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ +$ac_includes_default int main () { - /* Are we little or big endian? From Harbison&Steele. */ - union - { - long l; - char c[sizeof (long)]; - } u; - u.l = 1; - exit (u.c[sizeof (long) - 1] == 1); + + /* Are we little or big endian? From Harbison&Steele. */ + union + { + long int l; + char c[sizeof (long int)]; + } u; + u.l = 1; + return u.c[sizeof (long int) - 1] == 1; + + ; + return 0; } _ACEOF -rm -f conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && { ac_try='./conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_run "$LINENO"; then : ac_cv_c_bigendian=no else - echo "$as_me: program exited with status $ac_status" >&5 -echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -( exit $ac_status ) -ac_cv_c_bigendian=yes -fi -rm -f core *.core gmon.out bb.out conftest$ac_exeext conftest.$ac_objext conftest.$ac_ext + ac_cv_c_bigendian=yes fi +rm -f core *.core core.conftest.* gmon.out bb.out conftest$ac_exeext \ + conftest.$ac_objext conftest.beam conftest.$ac_ext fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext + + fi fi -echo "$as_me:$LINENO: result: $ac_cv_c_bigendian" >&5 -echo "${ECHO_T}$ac_cv_c_bigendian" >&6 -case $ac_cv_c_bigendian in - yes) +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_c_bigendian" >&5 +$as_echo "$ac_cv_c_bigendian" >&6; } + case $ac_cv_c_bigendian in #( + yes) + $as_echo "#define WORDS_BIGENDIAN 1" >>confdefs.h +;; #( + no) + ;; #( + universal) -cat >>confdefs.h <<\_ACEOF -#define WORDS_BIGENDIAN 1 -_ACEOF - ;; - no) - ;; - *) - { { echo "$as_me:$LINENO: error: unknown endianness -presetting ac_cv_c_bigendian=no (or yes) will help" >&5 -echo "$as_me: error: unknown endianness -presetting ac_cv_c_bigendian=no (or yes) will help" >&2;} - { (exit 1); exit 1; }; } ;; -esac +$as_echo "#define AC_APPLE_UNIVERSAL_BUILD 1" >>confdefs.h + + ;; #( + *) + as_fn_error $? "unknown endianness + presetting ac_cv_c_bigendian=no (or yes) will help" "$LINENO" 5 ;; + esac #-------------------------------------------------------------------- @@ -10079,110 +7440,17 @@ esac #-------------------------------------------------------------------- # Check if Posix compliant getcwd exists, if not we'll use getwd. - for ac_func in getcwd -do -as_ac_var=`echo "ac_cv_func_$ac_func" | $as_tr_sh` -echo "$as_me:$LINENO: checking for $ac_func" >&5 -echo $ECHO_N "checking for $ac_func... $ECHO_C" >&6 -if eval "test \"\${$as_ac_var+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define $ac_func to an innocuous variant, in case declares $ac_func. - For example, HP-UX 11i declares gettimeofday. */ -#define $ac_func innocuous_$ac_func - -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char $ac_func (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ - -#ifdef __STDC__ -# include -#else -# include -#endif - -#undef $ac_func - -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char $ac_func (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_$ac_func) || defined (__stub___$ac_func) -choke me -#else -char (*f) () = $ac_func; -#endif -#ifdef __cplusplus -} -#endif - -int -main () -{ -return f != $ac_func; - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - eval "$as_ac_var=yes" -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -eval "$as_ac_var=no" -fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_var'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_var'}'`" >&6 -if test `eval echo '${'$as_ac_var'}'` = yes; then +do : + ac_fn_c_check_func "$LINENO" "getcwd" "ac_cv_func_getcwd" +if test "x$ac_cv_func_getcwd" = xyes; then : cat >>confdefs.h <<_ACEOF -#define `echo "HAVE_$ac_func" | $as_tr_cpp` 1 +#define HAVE_GETCWD 1 _ACEOF else -cat >>confdefs.h <<\_ACEOF -#define USEGETWD 1 -_ACEOF +$as_echo "#define USEGETWD 1" >>confdefs.h fi done @@ -10190,7726 +7458,2343 @@ done # Nb: if getcwd uses popen and pwd(1) (like SunOS 4) we should really # define USEGETWD even if the posix getcwd exists. Add a test ? +ac_fn_c_check_func "$LINENO" "mkstemp" "ac_cv_func_mkstemp" +if test "x$ac_cv_func_mkstemp" = xyes; then : + $as_echo "#define HAVE_MKSTEMP 1" >>confdefs.h +else + case " $LIBOBJS " in + *" mkstemp.$ac_objext "* ) ;; + *) LIBOBJS="$LIBOBJS mkstemp.$ac_objext" + ;; +esac +fi +ac_fn_c_check_func "$LINENO" "opendir" "ac_cv_func_opendir" +if test "x$ac_cv_func_opendir" = xyes; then : + $as_echo "#define HAVE_OPENDIR 1" >>confdefs.h -for ac_func in mkstemp opendir strtol waitpid -do -as_ac_var=`echo "ac_cv_func_$ac_func" | $as_tr_sh` -echo "$as_me:$LINENO: checking for $ac_func" >&5 -echo $ECHO_N "checking for $ac_func... $ECHO_C" >&6 -if eval "test \"\${$as_ac_var+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define $ac_func to an innocuous variant, in case declares $ac_func. - For example, HP-UX 11i declares gettimeofday. */ -#define $ac_func innocuous_$ac_func - -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char $ac_func (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ - -#ifdef __STDC__ -# include -#else -# include -#endif +else + case " $LIBOBJS " in + *" opendir.$ac_objext "* ) ;; + *) LIBOBJS="$LIBOBJS opendir.$ac_objext" + ;; +esac -#undef $ac_func +fi -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char $ac_func (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_$ac_func) || defined (__stub___$ac_func) -choke me -#else -char (*f) () = $ac_func; -#endif -#ifdef __cplusplus -} -#endif +ac_fn_c_check_func "$LINENO" "strtol" "ac_cv_func_strtol" +if test "x$ac_cv_func_strtol" = xyes; then : + $as_echo "#define HAVE_STRTOL 1" >>confdefs.h -int -main () -{ -return f != $ac_func; - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - eval "$as_ac_var=yes" else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 + case " $LIBOBJS " in + *" strtol.$ac_objext "* ) ;; + *) LIBOBJS="$LIBOBJS strtol.$ac_objext" + ;; +esac -eval "$as_ac_var=no" fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_var'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_var'}'`" >&6 -if test `eval echo '${'$as_ac_var'}'` = yes; then - cat >>confdefs.h <<_ACEOF -#define `echo "HAVE_$ac_func" | $as_tr_cpp` 1 -_ACEOF + +ac_fn_c_check_func "$LINENO" "waitpid" "ac_cv_func_waitpid" +if test "x$ac_cv_func_waitpid" = xyes; then : + $as_echo "#define HAVE_WAITPID 1" >>confdefs.h else - case $LIBOBJS in - "$ac_func.$ac_objext" | \ - *" $ac_func.$ac_objext" | \ - "$ac_func.$ac_objext "* | \ - *" $ac_func.$ac_objext "* ) ;; - *) LIBOBJS="$LIBOBJS $ac_func.$ac_objext" ;; + case " $LIBOBJS " in + *" waitpid.$ac_objext "* ) ;; + *) LIBOBJS="$LIBOBJS waitpid.$ac_objext" + ;; esac fi -done -echo "$as_me:$LINENO: checking for strerror" >&5 -echo $ECHO_N "checking for strerror... $ECHO_C" >&6 -if test "${ac_cv_func_strerror+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define strerror to an innocuous variant, in case declares strerror. - For example, HP-UX 11i declares gettimeofday. */ -#define strerror innocuous_strerror +ac_fn_c_check_func "$LINENO" "strerror" "ac_cv_func_strerror" +if test "x$ac_cv_func_strerror" = xyes; then : -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char strerror (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ +else -#ifdef __STDC__ -# include -#else -# include -#endif +$as_echo "#define NO_STRERROR 1" >>confdefs.h -#undef strerror +fi -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char strerror (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_strerror) || defined (__stub___strerror) -choke me -#else -char (*f) () = strerror; -#endif -#ifdef __cplusplus -} -#endif +ac_fn_c_check_func "$LINENO" "getwd" "ac_cv_func_getwd" +if test "x$ac_cv_func_getwd" = xyes; then : -int -main () -{ -return f != strerror; - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_func_strerror=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 -ac_cv_func_strerror=no -fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +$as_echo "#define NO_GETWD 1" >>confdefs.h + fi -echo "$as_me:$LINENO: result: $ac_cv_func_strerror" >&5 -echo "${ECHO_T}$ac_cv_func_strerror" >&6 -if test $ac_cv_func_strerror = yes; then - : + +ac_fn_c_check_func "$LINENO" "wait3" "ac_cv_func_wait3" +if test "x$ac_cv_func_wait3" = xyes; then : + else -cat >>confdefs.h <<\_ACEOF -#define NO_STRERROR 1 -_ACEOF +$as_echo "#define NO_WAIT3 1" >>confdefs.h fi -echo "$as_me:$LINENO: checking for getwd" >&5 -echo $ECHO_N "checking for getwd... $ECHO_C" >&6 -if test "${ac_cv_func_getwd+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +ac_fn_c_check_func "$LINENO" "uname" "ac_cv_func_uname" +if test "x$ac_cv_func_uname" = xyes; then : + else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define getwd to an innocuous variant, in case declares getwd. - For example, HP-UX 11i declares gettimeofday. */ -#define getwd innocuous_getwd -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char getwd (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ +$as_echo "#define NO_UNAME 1" >>confdefs.h -#ifdef __STDC__ -# include -#else -# include -#endif +fi -#undef getwd -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char getwd (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_getwd) || defined (__stub___getwd) -choke me -#else -char (*f) () = getwd; -#endif -#ifdef __cplusplus -} -#endif +if test "`uname -s`" = "Darwin" && test "${TCL_THREADS}" = 1 && \ + test "`uname -r | awk -F. '{print $1}'`" -lt 7; then + # prior to Darwin 7, realpath is not threadsafe, so don't + # use it when threads are enabled, c.f. bug # 711232 + ac_cv_func_realpath=no +fi +ac_fn_c_check_func "$LINENO" "realpath" "ac_cv_func_realpath" +if test "x$ac_cv_func_realpath" = xyes; then : -int -main () -{ -return f != getwd; - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_func_getwd=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 -ac_cv_func_getwd=no -fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +$as_echo "#define NO_REALPATH 1" >>confdefs.h + fi -echo "$as_me:$LINENO: result: $ac_cv_func_getwd" >&5 -echo "${ECHO_T}$ac_cv_func_getwd" >&6 -if test $ac_cv_func_getwd = yes; then - : -else -cat >>confdefs.h <<\_ACEOF -#define NO_GETWD 1 -_ACEOF -fi -echo "$as_me:$LINENO: checking for wait3" >&5 -echo $ECHO_N "checking for wait3... $ECHO_C" >&6 -if test "${ac_cv_func_wait3+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ + NEED_FAKE_RFC2553=0 + for ac_func in getnameinfo getaddrinfo freeaddrinfo gai_strerror +do : + as_ac_var=`$as_echo "ac_cv_func_$ac_func" | $as_tr_sh` +ac_fn_c_check_func "$LINENO" "$ac_func" "$as_ac_var" +if eval test \"x\$"$as_ac_var"\" = x"yes"; then : + cat >>confdefs.h <<_ACEOF +#define `$as_echo "HAVE_$ac_func" | $as_tr_cpp` 1 _ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define wait3 to an innocuous variant, in case declares wait3. - For example, HP-UX 11i declares gettimeofday. */ -#define wait3 innocuous_wait3 -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char wait3 (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ - -#ifdef __STDC__ -# include -#else -# include -#endif +else + NEED_FAKE_RFC2553=1 +fi +done -#undef wait3 + ac_fn_c_check_type "$LINENO" "struct addrinfo" "ac_cv_type_struct_addrinfo" " +#include +#include +#include +#include -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char wait3 (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_wait3) || defined (__stub___wait3) -choke me -#else -char (*f) () = wait3; -#endif -#ifdef __cplusplus -} -#endif +" +if test "x$ac_cv_type_struct_addrinfo" = xyes; then : -int -main () -{ -return f != wait3; - ; - return 0; -} +cat >>confdefs.h <<_ACEOF +#define HAVE_STRUCT_ADDRINFO 1 _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_func_wait3=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 -ac_cv_func_wait3=no -fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: $ac_cv_func_wait3" >&5 -echo "${ECHO_T}$ac_cv_func_wait3" >&6 -if test $ac_cv_func_wait3 = yes; then - : + else + NEED_FAKE_RFC2553=1 +fi +ac_fn_c_check_type "$LINENO" "struct in6_addr" "ac_cv_type_struct_in6_addr" " +#include +#include +#include +#include -cat >>confdefs.h <<\_ACEOF -#define NO_WAIT3 1 +" +if test "x$ac_cv_type_struct_in6_addr" = xyes; then : + +cat >>confdefs.h <<_ACEOF +#define HAVE_STRUCT_IN6_ADDR 1 _ACEOF + +else + NEED_FAKE_RFC2553=1 fi +ac_fn_c_check_type "$LINENO" "struct sockaddr_in6" "ac_cv_type_struct_sockaddr_in6" " +#include +#include +#include +#include + +" +if test "x$ac_cv_type_struct_sockaddr_in6" = xyes; then : + +cat >>confdefs.h <<_ACEOF +#define HAVE_STRUCT_SOCKADDR_IN6 1 +_ACEOF + -echo "$as_me:$LINENO: checking for uname" >&5 -echo $ECHO_N "checking for uname... $ECHO_C" >&6 -if test "${ac_cv_func_uname+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ + NEED_FAKE_RFC2553=1 +fi +ac_fn_c_check_type "$LINENO" "struct sockaddr_storage" "ac_cv_type_struct_sockaddr_storage" " +#include +#include +#include +#include + +" +if test "x$ac_cv_type_struct_sockaddr_storage" = xyes; then : + +cat >>confdefs.h <<_ACEOF +#define HAVE_STRUCT_SOCKADDR_STORAGE 1 _ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define uname to an innocuous variant, in case declares uname. - For example, HP-UX 11i declares gettimeofday. */ -#define uname innocuous_uname -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char uname (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ -#ifdef __STDC__ -# include -#else -# include -#endif +else + NEED_FAKE_RFC2553=1 +fi -#undef uname +if test "x$NEED_FAKE_RFC2553" = "x1"; then -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char uname (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_uname) || defined (__stub___uname) -choke me -#else -char (*f) () = uname; -#endif -#ifdef __cplusplus -} -#endif +$as_echo "#define NEED_FAKE_RFC2553 1" >>confdefs.h + + case " $LIBOBJS " in + *" fake-rfc2553.$ac_objext "* ) ;; + *) LIBOBJS="$LIBOBJS fake-rfc2553.$ac_objext" + ;; +esac + + ac_fn_c_check_func "$LINENO" "strlcpy" "ac_cv_func_strlcpy" +if test "x$ac_cv_func_strlcpy" = xyes; then : + +fi + +fi + + +#-------------------------------------------------------------------- +# Look for thread-safe variants of some library functions. +#-------------------------------------------------------------------- + +if test "${TCL_THREADS}" = 1; then + ac_fn_c_check_func "$LINENO" "getpwuid_r" "ac_cv_func_getpwuid_r" +if test "x$ac_cv_func_getpwuid_r" = xyes; then : + + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for getpwuid_r with 5 args" >&5 +$as_echo_n "checking for getpwuid_r with 5 args... " >&6; } +if ${tcl_cv_api_getpwuid_r_5+:} false; then : + $as_echo_n "(cached) " >&6 +else + + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + + #include + #include int main () { -return f != uname; + + uid_t uid; + struct passwd pw, *pwp; + char buf[512]; + int buflen = 512; + + (void) getpwuid_r(uid, &pw, buf, buflen, &pwp); + ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_func_uname=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_api_getpwuid_r_5=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_func_uname=no -fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext + tcl_cv_api_getpwuid_r_5=no fi -echo "$as_me:$LINENO: result: $ac_cv_func_uname" >&5 -echo "${ECHO_T}$ac_cv_func_uname" >&6 -if test $ac_cv_func_uname = yes; then - : -else - -cat >>confdefs.h <<\_ACEOF -#define NO_UNAME 1 -_ACEOF - +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_api_getpwuid_r_5" >&5 +$as_echo "$tcl_cv_api_getpwuid_r_5" >&6; } + tcl_ok=$tcl_cv_api_getpwuid_r_5 + if test "$tcl_ok" = yes; then +$as_echo "#define HAVE_GETPWUID_R_5 1" >>confdefs.h -if test "`uname -s`" = "Darwin" && test "${TCL_THREADS}" = 1 && \ - test "`uname -r | awk -F. '{print $1}'`" -lt 7; then - # prior to Darwin 7, realpath is not threadsafe, so don't - # use it when threads are enabled, c.f. bug # 711232 - ac_cv_func_realpath=no -fi -echo "$as_me:$LINENO: checking for realpath" >&5 -echo $ECHO_N "checking for realpath... $ECHO_C" >&6 -if test "${ac_cv_func_realpath+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + else + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for getpwuid_r with 4 args" >&5 +$as_echo_n "checking for getpwuid_r with 4 args... " >&6; } +if ${tcl_cv_api_getpwuid_r_4+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define realpath to an innocuous variant, in case declares realpath. - For example, HP-UX 11i declares gettimeofday. */ -#define realpath innocuous_realpath - -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char realpath (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ - -#ifdef __STDC__ -# include -#else -# include -#endif -#undef realpath + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char realpath (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_realpath) || defined (__stub___realpath) -choke me -#else -char (*f) () = realpath; -#endif -#ifdef __cplusplus -} -#endif + #include + #include int main () { -return f != realpath; + + uid_t uid; + struct passwd pw; + char buf[512]; + int buflen = 512; + + (void)getpwnam_r(uid, &pw, buf, buflen); + ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_func_realpath=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_api_getpwuid_r_4=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_func_realpath=no + tcl_cv_api_getpwuid_r_4=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $ac_cv_func_realpath" >&5 -echo "${ECHO_T}$ac_cv_func_realpath" >&6 -if test $ac_cv_func_realpath = yes; then - : -else - -cat >>confdefs.h <<\_ACEOF -#define NO_REALPATH 1 -_ACEOF +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_api_getpwuid_r_4" >&5 +$as_echo "$tcl_cv_api_getpwuid_r_4" >&6; } + tcl_ok=$tcl_cv_api_getpwuid_r_4 + if test "$tcl_ok" = yes; then -fi +$as_echo "#define HAVE_GETPWUID_R_4 1" >>confdefs.h + fi + fi + if test "$tcl_ok" = yes; then +$as_echo "#define HAVE_GETPWUID_R 1" >>confdefs.h - NEED_FAKE_RFC2553=0 + fi +fi + ac_fn_c_check_func "$LINENO" "getpwnam_r" "ac_cv_func_getpwnam_r" +if test "x$ac_cv_func_getpwnam_r" = xyes; then : + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for getpwnam_r with 5 args" >&5 +$as_echo_n "checking for getpwnam_r with 5 args... " >&6; } +if ${tcl_cv_api_getpwnam_r_5+:} false; then : + $as_echo_n "(cached) " >&6 +else -for ac_func in getnameinfo getaddrinfo freeaddrinfo gai_strerror -do -as_ac_var=`echo "ac_cv_func_$ac_func" | $as_tr_sh` -echo "$as_me:$LINENO: checking for $ac_func" >&5 -echo $ECHO_N "checking for $ac_func... $ECHO_C" >&6 -if eval "test \"\${$as_ac_var+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -/* Define $ac_func to an innocuous variant, in case declares $ac_func. - For example, HP-UX 11i declares gettimeofday. */ -#define $ac_func innocuous_$ac_func - -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char $ac_func (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ - -#ifdef __STDC__ -# include -#else -# include -#endif - -#undef $ac_func -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char $ac_func (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_$ac_func) || defined (__stub___$ac_func) -choke me -#else -char (*f) () = $ac_func; -#endif -#ifdef __cplusplus -} -#endif + #include + #include int main () { -return f != $ac_func; + + char *name; + struct passwd pw, *pwp; + char buf[512]; + int buflen = 512; + + (void) getpwnam_r(name, &pw, buf, buflen, &pwp); + ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - eval "$as_ac_var=yes" +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_api_getpwnam_r_5=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -eval "$as_ac_var=no" + tcl_cv_api_getpwnam_r_5=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_var'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_var'}'`" >&6 -if test `eval echo '${'$as_ac_var'}'` = yes; then - cat >>confdefs.h <<_ACEOF -#define `echo "HAVE_$ac_func" | $as_tr_cpp` 1 -_ACEOF +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_api_getpwnam_r_5" >&5 +$as_echo "$tcl_cv_api_getpwnam_r_5" >&6; } + tcl_ok=$tcl_cv_api_getpwnam_r_5 + if test "$tcl_ok" = yes; then -else - NEED_FAKE_RFC2553=1 -fi -done +$as_echo "#define HAVE_GETPWNAM_R_5 1" >>confdefs.h - echo "$as_me:$LINENO: checking for struct addrinfo" >&5 -echo $ECHO_N "checking for struct addrinfo... $ECHO_C" >&6 -if test "${ac_cv_type_struct_addrinfo+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + else + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for getpwnam_r with 4 args" >&5 +$as_echo_n "checking for getpwnam_r with 4 args... " >&6; } +if ${tcl_cv_api_getpwnam_r_4+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include -#include -#include -#include + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + #include + #include int main () { -if ((struct addrinfo *) 0) - return 0; -if (sizeof (struct addrinfo)) - return 0; + + char *name; + struct passwd pw; + char buf[512]; + int buflen = 512; + + (void)getpwnam_r(name, &pw, buf, buflen); + ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_type_struct_addrinfo=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_api_getpwnam_r_4=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_type_struct_addrinfo=no + tcl_cv_api_getpwnam_r_4=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $ac_cv_type_struct_addrinfo" >&5 -echo "${ECHO_T}$ac_cv_type_struct_addrinfo" >&6 -if test $ac_cv_type_struct_addrinfo = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_api_getpwnam_r_4" >&5 +$as_echo "$tcl_cv_api_getpwnam_r_4" >&6; } + tcl_ok=$tcl_cv_api_getpwnam_r_4 + if test "$tcl_ok" = yes; then -cat >>confdefs.h <<_ACEOF -#define HAVE_STRUCT_ADDRINFO 1 -_ACEOF +$as_echo "#define HAVE_GETPWNAM_R_4 1" >>confdefs.h + + fi + fi + if test "$tcl_ok" = yes; then +$as_echo "#define HAVE_GETPWNAM_R 1" >>confdefs.h + + fi -else - NEED_FAKE_RFC2553=1 fi -echo "$as_me:$LINENO: checking for struct in6_addr" >&5 -echo $ECHO_N "checking for struct in6_addr... $ECHO_C" >&6 -if test "${ac_cv_type_struct_in6_addr+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + + ac_fn_c_check_func "$LINENO" "getgrgid_r" "ac_cv_func_getgrgid_r" +if test "x$ac_cv_func_getgrgid_r" = xyes; then : + + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for getgrgid_r with 5 args" >&5 +$as_echo_n "checking for getgrgid_r with 5 args... " >&6; } +if ${tcl_cv_api_getgrgid_r_5+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include -#include -#include -#include + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + #include + #include int main () { -if ((struct in6_addr *) 0) - return 0; -if (sizeof (struct in6_addr)) - return 0; + + gid_t gid; + struct group gr, *grp; + char buf[512]; + int buflen = 512; + + (void) getgrgid_r(gid, &gr, buf, buflen, &grp); + ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_type_struct_in6_addr=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_api_getgrgid_r_5=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_type_struct_in6_addr=no + tcl_cv_api_getgrgid_r_5=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $ac_cv_type_struct_in6_addr" >&5 -echo "${ECHO_T}$ac_cv_type_struct_in6_addr" >&6 -if test $ac_cv_type_struct_in6_addr = yes; then - -cat >>confdefs.h <<_ACEOF -#define HAVE_STRUCT_IN6_ADDR 1 -_ACEOF +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_api_getgrgid_r_5" >&5 +$as_echo "$tcl_cv_api_getgrgid_r_5" >&6; } + tcl_ok=$tcl_cv_api_getgrgid_r_5 + if test "$tcl_ok" = yes; then +$as_echo "#define HAVE_GETGRGID_R_5 1" >>confdefs.h + else + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for getgrgid_r with 4 args" >&5 +$as_echo_n "checking for getgrgid_r with 4 args... " >&6; } +if ${tcl_cv_api_getgrgid_r_4+:} false; then : + $as_echo_n "(cached) " >&6 else - NEED_FAKE_RFC2553=1 -fi -echo "$as_me:$LINENO: checking for struct sockaddr_in6" >&5 -echo $ECHO_N "checking for struct sockaddr_in6... $ECHO_C" >&6 -if test "${ac_cv_type_struct_sockaddr_in6+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include -#include -#include -#include + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + #include + #include int main () { -if ((struct sockaddr_in6 *) 0) - return 0; -if (sizeof (struct sockaddr_in6)) - return 0; + + gid_t gid; + struct group gr; + char buf[512]; + int buflen = 512; + + (void)getgrgid_r(gid, &gr, buf, buflen); + ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_type_struct_sockaddr_in6=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_api_getgrgid_r_4=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_type_struct_sockaddr_in6=no + tcl_cv_api_getgrgid_r_4=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $ac_cv_type_struct_sockaddr_in6" >&5 -echo "${ECHO_T}$ac_cv_type_struct_sockaddr_in6" >&6 -if test $ac_cv_type_struct_sockaddr_in6 = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_api_getgrgid_r_4" >&5 +$as_echo "$tcl_cv_api_getgrgid_r_4" >&6; } + tcl_ok=$tcl_cv_api_getgrgid_r_4 + if test "$tcl_ok" = yes; then -cat >>confdefs.h <<_ACEOF -#define HAVE_STRUCT_SOCKADDR_IN6 1 -_ACEOF +$as_echo "#define HAVE_GETGRGID_R_4 1" >>confdefs.h + fi + fi + if test "$tcl_ok" = yes; then + +$as_echo "#define HAVE_GETGRGID_R 1" >>confdefs.h + + fi -else - NEED_FAKE_RFC2553=1 fi -echo "$as_me:$LINENO: checking for struct sockaddr_storage" >&5 -echo $ECHO_N "checking for struct sockaddr_storage... $ECHO_C" >&6 -if test "${ac_cv_type_struct_sockaddr_storage+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + + ac_fn_c_check_func "$LINENO" "getgrnam_r" "ac_cv_func_getgrnam_r" +if test "x$ac_cv_func_getgrnam_r" = xyes; then : + + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for getgrnam_r with 5 args" >&5 +$as_echo_n "checking for getgrnam_r with 5 args... " >&6; } +if ${tcl_cv_api_getgrnam_r_5+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include -#include -#include -#include + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + #include + #include int main () { -if ((struct sockaddr_storage *) 0) - return 0; -if (sizeof (struct sockaddr_storage)) - return 0; + + char *name; + struct group gr, *grp; + char buf[512]; + int buflen = 512; + + (void) getgrnam_r(name, &gr, buf, buflen, &grp); + ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_type_struct_sockaddr_storage=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_api_getgrnam_r_5=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_type_struct_sockaddr_storage=no + tcl_cv_api_getgrnam_r_5=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $ac_cv_type_struct_sockaddr_storage" >&5 -echo "${ECHO_T}$ac_cv_type_struct_sockaddr_storage" >&6 -if test $ac_cv_type_struct_sockaddr_storage = yes; then - -cat >>confdefs.h <<_ACEOF -#define HAVE_STRUCT_SOCKADDR_STORAGE 1 -_ACEOF +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_api_getgrnam_r_5" >&5 +$as_echo "$tcl_cv_api_getgrnam_r_5" >&6; } + tcl_ok=$tcl_cv_api_getgrnam_r_5 + if test "$tcl_ok" = yes; then +$as_echo "#define HAVE_GETGRNAM_R_5 1" >>confdefs.h + else + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for getgrnam_r with 4 args" >&5 +$as_echo_n "checking for getgrnam_r with 4 args... " >&6; } +if ${tcl_cv_api_getgrnam_r_4+:} false; then : + $as_echo_n "(cached) " >&6 else - NEED_FAKE_RFC2553=1 -fi - -if test "x$NEED_FAKE_RFC2553" = "x1"; then - -cat >>confdefs.h <<\_ACEOF -#define NEED_FAKE_RFC2553 1 -_ACEOF - case $LIBOBJS in - "fake-rfc2553.$ac_objext" | \ - *" fake-rfc2553.$ac_objext" | \ - "fake-rfc2553.$ac_objext "* | \ - *" fake-rfc2553.$ac_objext "* ) ;; - *) LIBOBJS="$LIBOBJS fake-rfc2553.$ac_objext" ;; -esac - - echo "$as_me:$LINENO: checking for strlcpy" >&5 -echo $ECHO_N "checking for strlcpy... $ECHO_C" >&6 -if test "${ac_cv_func_strlcpy+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -/* Define strlcpy to an innocuous variant, in case declares strlcpy. - For example, HP-UX 11i declares gettimeofday. */ -#define strlcpy innocuous_strlcpy - -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char strlcpy (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ - -#ifdef __STDC__ -# include -#else -# include -#endif -#undef strlcpy - -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char strlcpy (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_strlcpy) || defined (__stub___strlcpy) -choke me -#else -char (*f) () = strlcpy; -#endif -#ifdef __cplusplus -} -#endif + #include + #include int main () { -return f != strlcpy; + + char *name; + struct group gr; + char buf[512]; + int buflen = 512; + + (void)getgrnam_r(name, &gr, buf, buflen); + ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_func_strlcpy=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_api_getgrnam_r_4=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_func_strlcpy=no + tcl_cv_api_getgrnam_r_4=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $ac_cv_func_strlcpy" >&5 -echo "${ECHO_T}$ac_cv_func_strlcpy" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_api_getgrnam_r_4" >&5 +$as_echo "$tcl_cv_api_getgrnam_r_4" >&6; } + tcl_ok=$tcl_cv_api_getgrnam_r_4 + if test "$tcl_ok" = yes; then + +$as_echo "#define HAVE_GETGRNAM_R_4 1" >>confdefs.h + + fi + fi + if test "$tcl_ok" = yes; then + +$as_echo "#define HAVE_GETGRNAM_R 1" >>confdefs.h + + fi fi + if test "`uname -s`" = "Darwin" && \ + test "`uname -r | awk -F. '{print $1}'`" -gt 5; then + # Starting with Darwin 6 (Mac OSX 10.2), gethostbyX + # are actually MT-safe as they always return pointers + # from TSD instead of static storage. -#-------------------------------------------------------------------- -# Look for thread-safe variants of some library functions. -#-------------------------------------------------------------------- +$as_echo "#define HAVE_MTSAFE_GETHOSTBYNAME 1" >>confdefs.h -if test "${TCL_THREADS}" = 1; then - echo "$as_me:$LINENO: checking for getpwuid_r" >&5 -echo $ECHO_N "checking for getpwuid_r... $ECHO_C" >&6 -if test "${ac_cv_func_getpwuid_r+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define getpwuid_r to an innocuous variant, in case declares getpwuid_r. - For example, HP-UX 11i declares gettimeofday. */ -#define getpwuid_r innocuous_getpwuid_r -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char getpwuid_r (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ +$as_echo "#define HAVE_MTSAFE_GETHOSTBYADDR 1" >>confdefs.h -#ifdef __STDC__ -# include -#else -# include -#endif -#undef getpwuid_r + elif test "`uname -s`" = "HP-UX" && \ + test "`uname -r|sed -e 's|B\.||' -e 's|\..*$||'`" -gt 10; then + # Starting with HPUX 11.00 (we believe), gethostbyX + # are actually MT-safe as they always return pointers + # from TSD instead of static storage. -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char getpwuid_r (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_getpwuid_r) || defined (__stub___getpwuid_r) -choke me -#else -char (*f) () = getpwuid_r; -#endif -#ifdef __cplusplus -} -#endif +$as_echo "#define HAVE_MTSAFE_GETHOSTBYNAME 1" >>confdefs.h + + +$as_echo "#define HAVE_MTSAFE_GETHOSTBYADDR 1" >>confdefs.h + + + else + ac_fn_c_check_func "$LINENO" "gethostbyname_r" "ac_cv_func_gethostbyname_r" +if test "x$ac_cv_func_gethostbyname_r" = xyes; then : + + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for gethostbyname_r with 6 args" >&5 +$as_echo_n "checking for gethostbyname_r with 6 args... " >&6; } +if ${tcl_cv_api_gethostbyname_r_6+:} false; then : + $as_echo_n "(cached) " >&6 +else + + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + + #include int main () { -return f != getpwuid_r; + + char *name; + struct hostent *he, *res; + char buffer[2048]; + int buflen = 2048; + int h_errnop; + + (void) gethostbyname_r(name, he, buffer, buflen, &res, &h_errnop); + ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_func_getpwuid_r=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_api_gethostbyname_r_6=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_func_getpwuid_r=no + tcl_cv_api_gethostbyname_r_6=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $ac_cv_func_getpwuid_r" >&5 -echo "${ECHO_T}$ac_cv_func_getpwuid_r" >&6 -if test $ac_cv_func_getpwuid_r = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_api_gethostbyname_r_6" >&5 +$as_echo "$tcl_cv_api_gethostbyname_r_6" >&6; } + tcl_ok=$tcl_cv_api_gethostbyname_r_6 + if test "$tcl_ok" = yes; then + +$as_echo "#define HAVE_GETHOSTBYNAME_R_6 1" >>confdefs.h - echo "$as_me:$LINENO: checking for getpwuid_r with 5 args" >&5 -echo $ECHO_N "checking for getpwuid_r with 5 args... $ECHO_C" >&6 -if test "${tcl_cv_api_getpwuid_r_5+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + else + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for gethostbyname_r with 5 args" >&5 +$as_echo_n "checking for gethostbyname_r with 5 args... " >&6; } +if ${tcl_cv_api_gethostbyname_r_5+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ - #include - #include + #include int main () { - uid_t uid; - struct passwd pw, *pwp; - char buf[512]; - int buflen = 512; + char *name; + struct hostent *he; + char buffer[2048]; + int buflen = 2048; + int h_errnop; - (void) getpwuid_r(uid, &pw, buf, buflen, &pwp); + (void) gethostbyname_r(name, he, buffer, buflen, &h_errnop); ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - tcl_cv_api_getpwuid_r_5=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_api_gethostbyname_r_5=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_api_getpwuid_r_5=no + tcl_cv_api_gethostbyname_r_5=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_api_getpwuid_r_5" >&5 -echo "${ECHO_T}$tcl_cv_api_getpwuid_r_5" >&6 - tcl_ok=$tcl_cv_api_getpwuid_r_5 - if test "$tcl_ok" = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_api_gethostbyname_r_5" >&5 +$as_echo "$tcl_cv_api_gethostbyname_r_5" >&6; } + tcl_ok=$tcl_cv_api_gethostbyname_r_5 + if test "$tcl_ok" = yes; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_GETPWUID_R_5 1 -_ACEOF +$as_echo "#define HAVE_GETHOSTBYNAME_R_5 1" >>confdefs.h - else - echo "$as_me:$LINENO: checking for getpwuid_r with 4 args" >&5 -echo $ECHO_N "checking for getpwuid_r with 4 args... $ECHO_C" >&6 -if test "${tcl_cv_api_getpwuid_r_4+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + else + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for gethostbyname_r with 3 args" >&5 +$as_echo_n "checking for gethostbyname_r with 3 args... " >&6; } +if ${tcl_cv_api_gethostbyname_r_3+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ - #include - #include + #include int main () { - uid_t uid; - struct passwd pw; - char buf[512]; - int buflen = 512; + char *name; + struct hostent *he; + struct hostent_data data; - (void)getpwnam_r(uid, &pw, buf, buflen); + (void) gethostbyname_r(name, he, &data); ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - tcl_cv_api_getpwuid_r_4=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_api_gethostbyname_r_3=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_api_getpwuid_r_4=no + tcl_cv_api_gethostbyname_r_3=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_api_getpwuid_r_4" >&5 -echo "${ECHO_T}$tcl_cv_api_getpwuid_r_4" >&6 - tcl_ok=$tcl_cv_api_getpwuid_r_4 - if test "$tcl_ok" = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_api_gethostbyname_r_3" >&5 +$as_echo "$tcl_cv_api_gethostbyname_r_3" >&6; } + tcl_ok=$tcl_cv_api_gethostbyname_r_3 + if test "$tcl_ok" = yes; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_GETPWUID_R_4 1 -_ACEOF +$as_echo "#define HAVE_GETHOSTBYNAME_R_3 1" >>confdefs.h + fi fi fi if test "$tcl_ok" = yes; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_GETPWUID_R 1 -_ACEOF +$as_echo "#define HAVE_GETHOSTBYNAME_R 1" >>confdefs.h fi fi - echo "$as_me:$LINENO: checking for getpwnam_r" >&5 -echo $ECHO_N "checking for getpwnam_r... $ECHO_C" >&6 -if test "${ac_cv_func_getpwnam_r+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define getpwnam_r to an innocuous variant, in case declares getpwnam_r. - For example, HP-UX 11i declares gettimeofday. */ -#define getpwnam_r innocuous_getpwnam_r - -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char getpwnam_r (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ - -#ifdef __STDC__ -# include -#else -# include -#endif - -#undef getpwnam_r - -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char getpwnam_r (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_getpwnam_r) || defined (__stub___getpwnam_r) -choke me -#else -char (*f) () = getpwnam_r; -#endif -#ifdef __cplusplus -} -#endif - -int -main () -{ -return f != getpwnam_r; - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_func_getpwnam_r=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_func_getpwnam_r=no -fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: $ac_cv_func_getpwnam_r" >&5 -echo "${ECHO_T}$ac_cv_func_getpwnam_r" >&6 -if test $ac_cv_func_getpwnam_r = yes; then + ac_fn_c_check_func "$LINENO" "gethostbyaddr_r" "ac_cv_func_gethostbyaddr_r" +if test "x$ac_cv_func_gethostbyaddr_r" = xyes; then : - echo "$as_me:$LINENO: checking for getpwnam_r with 5 args" >&5 -echo $ECHO_N "checking for getpwnam_r with 5 args... $ECHO_C" >&6 -if test "${tcl_cv_api_getpwnam_r_5+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for gethostbyaddr_r with 7 args" >&5 +$as_echo_n "checking for gethostbyaddr_r with 7 args... " >&6; } +if ${tcl_cv_api_gethostbyaddr_r_7+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ - #include - #include + #include int main () { - char *name; - struct passwd pw, *pwp; - char buf[512]; - int buflen = 512; + char *addr; + int length; + int type; + struct hostent *result; + char buffer[2048]; + int buflen = 2048; + int h_errnop; - (void) getpwnam_r(name, &pw, buf, buflen, &pwp); + (void) gethostbyaddr_r(addr, length, type, result, buffer, buflen, + &h_errnop); ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - tcl_cv_api_getpwnam_r_5=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_api_gethostbyaddr_r_7=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_api_getpwnam_r_5=no + tcl_cv_api_gethostbyaddr_r_7=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_api_getpwnam_r_5" >&5 -echo "${ECHO_T}$tcl_cv_api_getpwnam_r_5" >&6 - tcl_ok=$tcl_cv_api_getpwnam_r_5 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_api_gethostbyaddr_r_7" >&5 +$as_echo "$tcl_cv_api_gethostbyaddr_r_7" >&6; } + tcl_ok=$tcl_cv_api_gethostbyaddr_r_7 if test "$tcl_ok" = yes; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_GETPWNAM_R_5 1 -_ACEOF +$as_echo "#define HAVE_GETHOSTBYADDR_R_7 1" >>confdefs.h else - echo "$as_me:$LINENO: checking for getpwnam_r with 4 args" >&5 -echo $ECHO_N "checking for getpwnam_r with 4 args... $ECHO_C" >&6 -if test "${tcl_cv_api_getpwnam_r_4+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for gethostbyaddr_r with 8 args" >&5 +$as_echo_n "checking for gethostbyaddr_r with 8 args... " >&6; } +if ${tcl_cv_api_gethostbyaddr_r_8+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ - #include - #include + #include int main () { - char *name; - struct passwd pw; - char buf[512]; - int buflen = 512; + char *addr; + int length; + int type; + struct hostent *result, *resultp; + char buffer[2048]; + int buflen = 2048; + int h_errnop; - (void)getpwnam_r(name, &pw, buf, buflen); + (void) gethostbyaddr_r(addr, length, type, result, buffer, buflen, + &resultp, &h_errnop); ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - tcl_cv_api_getpwnam_r_4=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_api_gethostbyaddr_r_8=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_api_getpwnam_r_4=no + tcl_cv_api_gethostbyaddr_r_8=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_api_getpwnam_r_4" >&5 -echo "${ECHO_T}$tcl_cv_api_getpwnam_r_4" >&6 - tcl_ok=$tcl_cv_api_getpwnam_r_4 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_api_gethostbyaddr_r_8" >&5 +$as_echo "$tcl_cv_api_gethostbyaddr_r_8" >&6; } + tcl_ok=$tcl_cv_api_gethostbyaddr_r_8 if test "$tcl_ok" = yes; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_GETPWNAM_R_4 1 -_ACEOF +$as_echo "#define HAVE_GETHOSTBYADDR_R_8 1" >>confdefs.h fi fi if test "$tcl_ok" = yes; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_GETPWNAM_R 1 -_ACEOF +$as_echo "#define HAVE_GETHOSTBYADDR_R 1" >>confdefs.h fi fi - echo "$as_me:$LINENO: checking for getgrgid_r" >&5 -echo $ECHO_N "checking for getgrgid_r... $ECHO_C" >&6 -if test "${ac_cv_func_getgrgid_r+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define getgrgid_r to an innocuous variant, in case declares getgrgid_r. - For example, HP-UX 11i declares gettimeofday. */ -#define getgrgid_r innocuous_getgrgid_r + fi +fi -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char getgrgid_r (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ +#--------------------------------------------------------------------------- +# Check for serial port interface. +# +# termios.h is present on all POSIX systems. +# sys/ioctl.h is almost always present, though what it contains +# is system-specific. +# sys/modem.h is needed on HP-UX. +#--------------------------------------------------------------------------- -#ifdef __STDC__ -# include -#else -# include -#endif +for ac_header in termios.h +do : + ac_fn_c_check_header_mongrel "$LINENO" "termios.h" "ac_cv_header_termios_h" "$ac_includes_default" +if test "x$ac_cv_header_termios_h" = xyes; then : + cat >>confdefs.h <<_ACEOF +#define HAVE_TERMIOS_H 1 +_ACEOF -#undef getgrgid_r +fi -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char getgrgid_r (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_getgrgid_r) || defined (__stub___getgrgid_r) -choke me -#else -char (*f) () = getgrgid_r; -#endif -#ifdef __cplusplus -} -#endif +done -int -main () -{ -return f != getgrgid_r; - ; - return 0; -} +for ac_header in sys/ioctl.h +do : + ac_fn_c_check_header_mongrel "$LINENO" "sys/ioctl.h" "ac_cv_header_sys_ioctl_h" "$ac_includes_default" +if test "x$ac_cv_header_sys_ioctl_h" = xyes; then : + cat >>confdefs.h <<_ACEOF +#define HAVE_SYS_IOCTL_H 1 _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_func_getgrgid_r=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 -ac_cv_func_getgrgid_r=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: $ac_cv_func_getgrgid_r" >&5 -echo "${ECHO_T}$ac_cv_func_getgrgid_r" >&6 -if test $ac_cv_func_getgrgid_r = yes; then - echo "$as_me:$LINENO: checking for getgrgid_r with 5 args" >&5 -echo $ECHO_N "checking for getgrgid_r with 5 args... $ECHO_C" >&6 -if test "${tcl_cv_api_getgrgid_r_5+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else +done - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ +for ac_header in sys/modem.h +do : + ac_fn_c_check_header_mongrel "$LINENO" "sys/modem.h" "ac_cv_header_sys_modem_h" "$ac_includes_default" +if test "x$ac_cv_header_sys_modem_h" = xyes; then : + cat >>confdefs.h <<_ACEOF +#define HAVE_SYS_MODEM_H 1 +_ACEOF - #include - #include +fi -int -main () -{ +done - gid_t gid; - struct group gr, *grp; - char buf[512]; - int buflen = 512; - (void) getgrgid_r(gid, &gr, buf, buflen, &grp); +#-------------------------------------------------------------------- +# Include sys/select.h if it exists and if it supplies things +# that appear to be useful and aren't already in sys/types.h. +# This appears to be true only on the RS/6000 under AIX. Some +# systems like OSF/1 have a sys/select.h that's of no use, and +# other systems like SCO UNIX have a sys/select.h that's +# pernicious. If "fd_set" isn't defined anywhere then set a +# special flag. +#-------------------------------------------------------------------- + +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for fd_set in sys/types" >&5 +$as_echo_n "checking for fd_set in sys/types... " >&6; } +if ${tcl_cv_type_fd_set+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include +int +main () +{ +fd_set readMask, writeMask; ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - tcl_cv_api_getgrgid_r_5=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_type_fd_set=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_api_getgrgid_r_5=no + tcl_cv_type_fd_set=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_api_getgrgid_r_5" >&5 -echo "${ECHO_T}$tcl_cv_api_getgrgid_r_5" >&6 - tcl_ok=$tcl_cv_api_getgrgid_r_5 - if test "$tcl_ok" = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_type_fd_set" >&5 +$as_echo "$tcl_cv_type_fd_set" >&6; } +tcl_ok=$tcl_cv_type_fd_set +if test $tcl_ok = no; then + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for fd_mask in sys/select" >&5 +$as_echo_n "checking for fd_mask in sys/select... " >&6; } +if ${tcl_cv_grep_fd_mask+:} false; then : + $as_echo_n "(cached) " >&6 +else -cat >>confdefs.h <<\_ACEOF -#define HAVE_GETGRGID_R_5 1 -_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include - else - echo "$as_me:$LINENO: checking for getgrgid_r with 4 args" >&5 -echo $ECHO_N "checking for getgrgid_r with 4 args... $ECHO_C" >&6 -if test "${tcl_cv_api_getgrgid_r_4+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +_ACEOF +if (eval "$ac_cpp conftest.$ac_ext") 2>&5 | + $EGREP "fd_mask" >/dev/null 2>&1; then : + tcl_cv_grep_fd_mask=present else + tcl_cv_grep_fd_mask=missing +fi +rm -f conftest* + +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_grep_fd_mask" >&5 +$as_echo "$tcl_cv_grep_fd_mask" >&6; } + if test $tcl_cv_grep_fd_mask = present; then + +$as_echo "#define HAVE_SYS_SELECT_H 1" >>confdefs.h + + tcl_ok=yes + fi +fi +if test $tcl_ok = no; then - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ +$as_echo "#define NO_FD_SET 1" >>confdefs.h + +fi + +#------------------------------------------------------------------------------ +# Find out all about time handling differences. +#------------------------------------------------------------------------------ + + + for ac_header in sys/time.h +do : + ac_fn_c_check_header_mongrel "$LINENO" "sys/time.h" "ac_cv_header_sys_time_h" "$ac_includes_default" +if test "x$ac_cv_header_sys_time_h" = xyes; then : + cat >>confdefs.h <<_ACEOF +#define HAVE_SYS_TIME_H 1 _ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ - #include - #include +fi + +done + + { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether time.h and sys/time.h may both be included" >&5 +$as_echo_n "checking whether time.h and sys/time.h may both be included... " >&6; } +if ${ac_cv_header_time+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include +#include +#include int main () { - - gid_t gid; - struct group gr; - char buf[512]; - int buflen = 512; - - (void)getgrgid_r(gid, &gr, buf, buflen); - +if ((struct tm *) 0) +return 0; ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - tcl_cv_api_getgrgid_r_4=yes +if ac_fn_c_try_compile "$LINENO"; then : + ac_cv_header_time=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_api_getgrgid_r_4=no + ac_cv_header_time=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_api_getgrgid_r_4" >&5 -echo "${ECHO_T}$tcl_cv_api_getgrgid_r_4" >&6 - tcl_ok=$tcl_cv_api_getgrgid_r_4 - if test "$tcl_ok" = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_header_time" >&5 +$as_echo "$ac_cv_header_time" >&6; } +if test $ac_cv_header_time = yes; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_GETGRGID_R_4 1 -_ACEOF +$as_echo "#define TIME_WITH_SYS_TIME 1" >>confdefs.h - fi - fi - if test "$tcl_ok" = yes; then +fi -cat >>confdefs.h <<\_ACEOF -#define HAVE_GETGRGID_R 1 -_ACEOF - fi + for ac_func in gmtime_r localtime_r mktime +do : + as_ac_var=`$as_echo "ac_cv_func_$ac_func" | $as_tr_sh` +ac_fn_c_check_func "$LINENO" "$ac_func" "$as_ac_var" +if eval test \"x\$"$as_ac_var"\" = x"yes"; then : + cat >>confdefs.h <<_ACEOF +#define `$as_echo "HAVE_$ac_func" | $as_tr_cpp` 1 +_ACEOF fi +done + - echo "$as_me:$LINENO: checking for getgrnam_r" >&5 -echo $ECHO_N "checking for getgrnam_r... $ECHO_C" >&6 -if test "${ac_cv_func_getgrnam_r+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking tm_tzadj in struct tm" >&5 +$as_echo_n "checking tm_tzadj in struct tm... " >&6; } +if ${tcl_cv_member_tm_tzadj+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define getgrnam_r to an innocuous variant, in case declares getgrnam_r. - For example, HP-UX 11i declares gettimeofday. */ -#define getgrnam_r innocuous_getgrnam_r -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char getgrnam_r (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include +int +main () +{ +struct tm tm; tm.tm_tzadj; + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_member_tm_tzadj=yes +else + tcl_cv_member_tm_tzadj=no +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_member_tm_tzadj" >&5 +$as_echo "$tcl_cv_member_tm_tzadj" >&6; } + if test $tcl_cv_member_tm_tzadj = yes ; then -#ifdef __STDC__ -# include -#else -# include -#endif +$as_echo "#define HAVE_TM_TZADJ 1" >>confdefs.h -#undef getgrnam_r + fi -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char getgrnam_r (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_getgrnam_r) || defined (__stub___getgrnam_r) -choke me -#else -char (*f) () = getgrnam_r; -#endif -#ifdef __cplusplus -} -#endif + { $as_echo "$as_me:${as_lineno-$LINENO}: checking tm_gmtoff in struct tm" >&5 +$as_echo_n "checking tm_gmtoff in struct tm... " >&6; } +if ${tcl_cv_member_tm_gmtoff+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include int main () { -return f != getgrnam_r; +struct tm tm; tm.tm_gmtoff; ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_func_getgrnam_r=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_member_tm_gmtoff=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_func_getgrnam_r=no + tcl_cv_member_tm_gmtoff=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $ac_cv_func_getgrnam_r" >&5 -echo "${ECHO_T}$ac_cv_func_getgrnam_r" >&6 -if test $ac_cv_func_getgrnam_r = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_member_tm_gmtoff" >&5 +$as_echo "$tcl_cv_member_tm_gmtoff" >&6; } + if test $tcl_cv_member_tm_gmtoff = yes ; then - echo "$as_me:$LINENO: checking for getgrnam_r with 5 args" >&5 -echo $ECHO_N "checking for getgrnam_r with 5 args... $ECHO_C" >&6 -if test "${tcl_cv_api_getgrnam_r_5+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else +$as_echo "#define HAVE_TM_GMTOFF 1" >>confdefs.h - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ + fi - #include - #include + # + # Its important to include time.h in this check, as some systems + # (like convex) have timezone functions, etc. + # + { $as_echo "$as_me:${as_lineno-$LINENO}: checking long timezone variable" >&5 +$as_echo_n "checking long timezone variable... " >&6; } +if ${tcl_cv_timezone_long+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include int main () { - - char *name; - struct group gr, *grp; - char buf[512]; - int buflen = 512; - - (void) getgrnam_r(name, &gr, buf, buflen, &grp); - +extern long timezone; + timezone += 1; + exit (0); ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - tcl_cv_api_getgrnam_r_5=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_timezone_long=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_api_getgrnam_r_5=no + tcl_cv_timezone_long=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_api_getgrnam_r_5" >&5 -echo "${ECHO_T}$tcl_cv_api_getgrnam_r_5" >&6 - tcl_ok=$tcl_cv_api_getgrnam_r_5 - if test "$tcl_ok" = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_timezone_long" >&5 +$as_echo "$tcl_cv_timezone_long" >&6; } + if test $tcl_cv_timezone_long = yes ; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_GETGRNAM_R_5 1 -_ACEOF +$as_echo "#define HAVE_TIMEZONE_VAR 1" >>confdefs.h else - echo "$as_me:$LINENO: checking for getgrnam_r with 4 args" >&5 -echo $ECHO_N "checking for getgrnam_r with 4 args... $ECHO_C" >&6 -if test "${tcl_cv_api_getgrnam_r_4+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + # + # On some systems (eg IRIX 6.2), timezone is a time_t and not a long. + # + { $as_echo "$as_me:${as_lineno-$LINENO}: checking time_t timezone variable" >&5 +$as_echo_n "checking time_t timezone variable... " >&6; } +if ${tcl_cv_timezone_time+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ - - #include - #include - +#include int main () { - - char *name; - struct group gr; - char buf[512]; - int buflen = 512; - - (void)getgrnam_r(name, &gr, buf, buflen); - +extern time_t timezone; + timezone += 1; + exit (0); ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - tcl_cv_api_getgrnam_r_4=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_timezone_time=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_api_getgrnam_r_4=no + tcl_cv_timezone_time=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_api_getgrnam_r_4" >&5 -echo "${ECHO_T}$tcl_cv_api_getgrnam_r_4" >&6 - tcl_ok=$tcl_cv_api_getgrnam_r_4 - if test "$tcl_ok" = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_timezone_time" >&5 +$as_echo "$tcl_cv_timezone_time" >&6; } + if test $tcl_cv_timezone_time = yes ; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_GETGRNAM_R_4 1 -_ACEOF +$as_echo "#define HAVE_TIMEZONE_VAR 1" >>confdefs.h fi fi - if test "$tcl_ok" = yes; then - -cat >>confdefs.h <<\_ACEOF -#define HAVE_GETGRNAM_R 1 -_ACEOF - fi -fi +#-------------------------------------------------------------------- +# Some systems (e.g., IRIX 4.0.5) lack some fields in struct stat. But +# we might be able to use fstatfs instead. Some systems (OpenBSD?) also +# lack blkcnt_t. +#-------------------------------------------------------------------- - if test "`uname -s`" = "Darwin" && \ - test "`uname -r | awk -F. '{print $1}'`" -gt 5; then - # Starting with Darwin 6 (Mac OSX 10.2), gethostbyX - # are actually MT-safe as they always return pointers - # from TSD instead of static storage. +if test "$ac_cv_cygwin" != "yes"; then + ac_fn_c_check_member "$LINENO" "struct stat" "st_blocks" "ac_cv_member_struct_stat_st_blocks" "$ac_includes_default" +if test "x$ac_cv_member_struct_stat_st_blocks" = xyes; then : -cat >>confdefs.h <<\_ACEOF -#define HAVE_MTSAFE_GETHOSTBYNAME 1 +cat >>confdefs.h <<_ACEOF +#define HAVE_STRUCT_STAT_ST_BLOCKS 1 _ACEOF -cat >>confdefs.h <<\_ACEOF -#define HAVE_MTSAFE_GETHOSTBYADDR 1 +fi +ac_fn_c_check_member "$LINENO" "struct stat" "st_blksize" "ac_cv_member_struct_stat_st_blksize" "$ac_includes_default" +if test "x$ac_cv_member_struct_stat_st_blksize" = xyes; then : + +cat >>confdefs.h <<_ACEOF +#define HAVE_STRUCT_STAT_ST_BLKSIZE 1 _ACEOF - elif test "`uname -s`" = "HP-UX" && \ - test "`uname -r|sed -e 's|B\.||' -e 's|\..*$||'`" -gt 10; then - # Starting with HPUX 11.00 (we believe), gethostbyX - # are actually MT-safe as they always return pointers - # from TSD instead of static storage. +fi + +fi +ac_fn_c_check_type "$LINENO" "blkcnt_t" "ac_cv_type_blkcnt_t" "$ac_includes_default" +if test "x$ac_cv_type_blkcnt_t" = xyes; then : -cat >>confdefs.h <<\_ACEOF -#define HAVE_MTSAFE_GETHOSTBYNAME 1 +cat >>confdefs.h <<_ACEOF +#define HAVE_BLKCNT_T 1 _ACEOF -cat >>confdefs.h <<\_ACEOF -#define HAVE_MTSAFE_GETHOSTBYADDR 1 -_ACEOF +fi +ac_fn_c_check_func "$LINENO" "fstatfs" "ac_cv_func_fstatfs" +if test "x$ac_cv_func_fstatfs" = xyes; then : - else - echo "$as_me:$LINENO: checking for gethostbyname_r" >&5 -echo $ECHO_N "checking for gethostbyname_r... $ECHO_C" >&6 -if test "${ac_cv_func_gethostbyname_r+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define gethostbyname_r to an innocuous variant, in case declares gethostbyname_r. - For example, HP-UX 11i declares gettimeofday. */ -#define gethostbyname_r innocuous_gethostbyname_r -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char gethostbyname_r (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ +$as_echo "#define NO_FSTATFS 1" >>confdefs.h -#ifdef __STDC__ -# include -#else -# include -#endif +fi -#undef gethostbyname_r -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char gethostbyname_r (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_gethostbyname_r) || defined (__stub___gethostbyname_r) -choke me -#else -char (*f) () = gethostbyname_r; -#endif -#ifdef __cplusplus -} -#endif +#-------------------------------------------------------------------- +# Some system have no memcmp or it does not work with 8 bit data, this +# checks it and add memcmp.o to LIBOBJS if needed +#-------------------------------------------------------------------- +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for working memcmp" >&5 +$as_echo_n "checking for working memcmp... " >&6; } +if ${ac_cv_func_memcmp_working+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test "$cross_compiling" = yes; then : + ac_cv_func_memcmp_working=no +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +$ac_includes_default int main () { -return f != gethostbyname_r; + + /* Some versions of memcmp are not 8-bit clean. */ + char c0 = '\100', c1 = '\200', c2 = '\201'; + if (memcmp(&c0, &c2, 1) >= 0 || memcmp(&c1, &c2, 1) >= 0) + return 1; + + /* The Next x86 OpenStep bug shows up only when comparing 16 bytes + or more and with at least one buffer not starting on a 4-byte boundary. + William Lewis provided this test program. */ + { + char foo[21]; + char bar[21]; + int i; + for (i = 0; i < 4; i++) + { + char *a = foo + i; + char *b = bar + i; + strcpy (a, "--------01111111"); + strcpy (b, "--------10000000"); + if (memcmp (a, b, 16) >= 0) + return 1; + } + return 0; + } + ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_func_gethostbyname_r=yes +if ac_fn_c_try_run "$LINENO"; then : + ac_cv_func_memcmp_working=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_func_gethostbyname_r=no + ac_cv_func_memcmp_working=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core *.core core.conftest.* gmon.out bb.out conftest$ac_exeext \ + conftest.$ac_objext conftest.beam conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $ac_cv_func_gethostbyname_r" >&5 -echo "${ECHO_T}$ac_cv_func_gethostbyname_r" >&6 -if test $ac_cv_func_gethostbyname_r = yes; then - echo "$as_me:$LINENO: checking for gethostbyname_r with 6 args" >&5 -echo $ECHO_N "checking for gethostbyname_r with 6 args... $ECHO_C" >&6 -if test "${tcl_cv_api_gethostbyname_r_6+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_func_memcmp_working" >&5 +$as_echo "$ac_cv_func_memcmp_working" >&6; } +test $ac_cv_func_memcmp_working = no && case " $LIBOBJS " in + *" memcmp.$ac_objext "* ) ;; + *) LIBOBJS="$LIBOBJS memcmp.$ac_objext" + ;; +esac - #include -int -main () -{ - char *name; - struct hostent *he, *res; - char buffer[2048]; - int buflen = 2048; - int h_errnop; +#-------------------------------------------------------------------- +# Some system like SunOS 4 and other BSD like systems have no memmove +# (we assume they have bcopy instead). {The replacement define is in +# compat/string.h} +#-------------------------------------------------------------------- - (void) gethostbyname_r(name, he, buffer, buflen, &res, &h_errnop); +ac_fn_c_check_func "$LINENO" "memmove" "ac_cv_func_memmove" +if test "x$ac_cv_func_memmove" = xyes; then : - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - tcl_cv_api_gethostbyname_r_6=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 -tcl_cv_api_gethostbyname_r_6=no -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: $tcl_cv_api_gethostbyname_r_6" >&5 -echo "${ECHO_T}$tcl_cv_api_gethostbyname_r_6" >&6 - tcl_ok=$tcl_cv_api_gethostbyname_r_6 - if test "$tcl_ok" = yes; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_GETHOSTBYNAME_R_6 1 -_ACEOF +$as_echo "#define NO_MEMMOVE 1" >>confdefs.h - else - echo "$as_me:$LINENO: checking for gethostbyname_r with 5 args" >&5 -echo $ECHO_N "checking for gethostbyname_r with 5 args... $ECHO_C" >&6 -if test "${tcl_cv_api_gethostbyname_r_5+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ +$as_echo "#define NO_STRING_H 1" >>confdefs.h - #include +fi -int -main () -{ - char *name; - struct hostent *he; - char buffer[2048]; - int buflen = 2048; - int h_errnop; +#-------------------------------------------------------------------- +# On some systems strstr is broken: it returns a pointer even even if +# the original string is empty. +#-------------------------------------------------------------------- - (void) gethostbyname_r(name, he, buffer, buflen, &h_errnop); - ; - return 0; + ac_fn_c_check_func "$LINENO" "strstr" "ac_cv_func_strstr" +if test "x$ac_cv_func_strstr" = xyes; then : + tcl_ok=1 +else + tcl_ok=0 +fi + + if test "$tcl_ok" = 1; then + { $as_echo "$as_me:${as_lineno-$LINENO}: checking proper strstr implementation" >&5 +$as_echo_n "checking proper strstr implementation... " >&6; } +if ${tcl_cv_strstr_unbroken+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test "$cross_compiling" = yes; then : + tcl_cv_strstr_unbroken=unknown +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +int main() { + extern int strstr(); + exit(strstr("\0test", "test") ? 1 : 0); } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - tcl_cv_api_gethostbyname_r_5=yes +if ac_fn_c_try_run "$LINENO"; then : + tcl_cv_strstr_unbroken=ok else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_api_gethostbyname_r_5=no + tcl_cv_strstr_unbroken=broken fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core *.core core.conftest.* gmon.out bb.out conftest$ac_exeext \ + conftest.$ac_objext conftest.beam conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_api_gethostbyname_r_5" >&5 -echo "${ECHO_T}$tcl_cv_api_gethostbyname_r_5" >&6 - tcl_ok=$tcl_cv_api_gethostbyname_r_5 - if test "$tcl_ok" = yes; then - -cat >>confdefs.h <<\_ACEOF -#define HAVE_GETHOSTBYNAME_R_5 1 -_ACEOF +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_strstr_unbroken" >&5 +$as_echo "$tcl_cv_strstr_unbroken" >&6; } + if test "$tcl_cv_strstr_unbroken" = "ok"; then + tcl_ok=1 else - echo "$as_me:$LINENO: checking for gethostbyname_r with 3 args" >&5 -echo $ECHO_N "checking for gethostbyname_r with 3 args... $ECHO_C" >&6 -if test "${tcl_cv_api_gethostbyname_r_3+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else + tcl_ok=0 + fi + fi + if test "$tcl_ok" = 0; then + case " $LIBOBJS " in + *" strstr.$ac_objext "* ) ;; + *) LIBOBJS="$LIBOBJS strstr.$ac_objext" + ;; +esac - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ + USE_COMPAT=1 + fi - #include -int -main () -{ +#-------------------------------------------------------------------- +# Check for strtoul function. This is tricky because under some +# versions of AIX strtoul returns an incorrect terminator +# pointer for the string "0". +#-------------------------------------------------------------------- - char *name; - struct hostent *he; - struct hostent_data data; - (void) gethostbyname_r(name, he, &data); + ac_fn_c_check_func "$LINENO" "strtoul" "ac_cv_func_strtoul" +if test "x$ac_cv_func_strtoul" = xyes; then : + tcl_ok=1 +else + tcl_ok=0 +fi - ; - return 0; + if test "$tcl_ok" = 1; then + { $as_echo "$as_me:${as_lineno-$LINENO}: checking proper strtoul implementation" >&5 +$as_echo_n "checking proper strtoul implementation... " >&6; } +if ${tcl_cv_strtoul_unbroken+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test "$cross_compiling" = yes; then : + tcl_cv_strtoul_unbroken=unknown +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +int main() { + extern int strtoul(); + char *term, *string = "0"; + exit(strtoul(string,&term,0) != 0 || term != string+1); } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - tcl_cv_api_gethostbyname_r_3=yes +if ac_fn_c_try_run "$LINENO"; then : + tcl_cv_strtoul_unbroken=ok else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_api_gethostbyname_r_3=no + tcl_cv_strtoul_unbroken=broken fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core *.core core.conftest.* gmon.out bb.out conftest$ac_exeext \ + conftest.$ac_objext conftest.beam conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_api_gethostbyname_r_3" >&5 -echo "${ECHO_T}$tcl_cv_api_gethostbyname_r_3" >&6 - tcl_ok=$tcl_cv_api_gethostbyname_r_3 - if test "$tcl_ok" = yes; then - -cat >>confdefs.h <<\_ACEOF -#define HAVE_GETHOSTBYNAME_R_3 1 -_ACEOF - fi +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_strtoul_unbroken" >&5 +$as_echo "$tcl_cv_strtoul_unbroken" >&6; } + if test "$tcl_cv_strtoul_unbroken" = "ok"; then + tcl_ok=1 + else + tcl_ok=0 fi fi - if test "$tcl_ok" = yes; then - -cat >>confdefs.h <<\_ACEOF -#define HAVE_GETHOSTBYNAME_R 1 -_ACEOF + if test "$tcl_ok" = 0; then + case " $LIBOBJS " in + *" strtoul.$ac_objext "* ) ;; + *) LIBOBJS="$LIBOBJS strtoul.$ac_objext" + ;; +esac + USE_COMPAT=1 fi + +#-------------------------------------------------------------------- +# Check for the strtod function. This is tricky because in some +# versions of Linux strtod mis-parses strings starting with "+". +#-------------------------------------------------------------------- + + + ac_fn_c_check_func "$LINENO" "strtod" "ac_cv_func_strtod" +if test "x$ac_cv_func_strtod" = xyes; then : + tcl_ok=1 +else + tcl_ok=0 fi - echo "$as_me:$LINENO: checking for gethostbyaddr_r" >&5 -echo $ECHO_N "checking for gethostbyaddr_r... $ECHO_C" >&6 -if test "${ac_cv_func_gethostbyaddr_r+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + if test "$tcl_ok" = 1; then + { $as_echo "$as_me:${as_lineno-$LINENO}: checking proper strtod implementation" >&5 +$as_echo_n "checking proper strtod implementation... " >&6; } +if ${tcl_cv_strtod_unbroken+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + if test "$cross_compiling" = yes; then : + tcl_cv_strtod_unbroken=unknown +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -/* Define gethostbyaddr_r to an innocuous variant, in case declares gethostbyaddr_r. - For example, HP-UX 11i declares gettimeofday. */ -#define gethostbyaddr_r innocuous_gethostbyaddr_r - -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char gethostbyaddr_r (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ +int main() { + extern double strtod(); + char *term, *string = " +69"; + exit(strtod(string,&term) != 69 || term != string+4); +} +_ACEOF +if ac_fn_c_try_run "$LINENO"; then : + tcl_cv_strtod_unbroken=ok +else + tcl_cv_strtod_unbroken=broken +fi +rm -f core *.core core.conftest.* gmon.out bb.out conftest$ac_exeext \ + conftest.$ac_objext conftest.beam conftest.$ac_ext +fi -#ifdef __STDC__ -# include -#else -# include -#endif - -#undef gethostbyaddr_r - -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char gethostbyaddr_r (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_gethostbyaddr_r) || defined (__stub___gethostbyaddr_r) -choke me -#else -char (*f) () = gethostbyaddr_r; -#endif -#ifdef __cplusplus -} -#endif - -int -main () -{ -return f != gethostbyaddr_r; - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? 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Check for this +# and if the problem exists use a substitute procedure +# "fixstrtod" that corrects the error. #-------------------------------------------------------------------- -echo "$as_me:$LINENO: checking for strncasecmp" >&5 -echo $ECHO_N "checking for strncasecmp... $ECHO_C" >&6 -if test "${ac_cv_func_strncasecmp+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define strncasecmp to an innocuous variant, in case declares strncasecmp. - For example, HP-UX 11i declares gettimeofday. */ -#define strncasecmp innocuous_strncasecmp - -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char strncasecmp (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ - -#ifdef __STDC__ -# include -#else -# include -#endif - -#undef strncasecmp - -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char strncasecmp (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. 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" >&6; } +if ${tcl_cv_strtod_buggy+:} false; then : + $as_echo_n "(cached) " >&6 else - tcl_ok=0 -fi -fi -if test "$tcl_ok" = 0; then - echo "$as_me:$LINENO: checking for strncasecmp in -linet" >&5 -echo $ECHO_N "checking for strncasecmp in -linet... $ECHO_C" >&6 -if test "${ac_cv_lib_inet_strncasecmp+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + if test "$cross_compiling" = yes; then : + tcl_cv_strtod_buggy=buggy else - ac_check_lib_save_LIBS=$LIBS -LIBS="-linet $LIBS" -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char strncasecmp (); -int -main () -{ -strncasecmp (); - ; - return 0; -} + extern double strtod(); + int main() { + char *infString="Inf", *nanString="NaN", *spaceString=" "; + char *term; + double value; + value = strtod(infString, &term); + if ((term != infString) && (term[-1] == 0)) { + exit(1); + } + value = strtod(nanString, &term); + if ((term != nanString) && (term[-1] == 0)) { + exit(1); + } + value = strtod(spaceString, &term); + if (term == (spaceString+1)) { + exit(1); + } + exit(0); + } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_lib_inet_strncasecmp=yes +if ac_fn_c_try_run "$LINENO"; then : + tcl_cv_strtod_buggy=ok else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_lib_inet_strncasecmp=no -fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext -LIBS=$ac_check_lib_save_LIBS + tcl_cv_strtod_buggy=buggy fi -echo "$as_me:$LINENO: result: $ac_cv_lib_inet_strncasecmp" >&5 -echo "${ECHO_T}$ac_cv_lib_inet_strncasecmp" >&6 -if test $ac_cv_lib_inet_strncasecmp = yes; then - tcl_ok=1 -else - tcl_ok=0 +rm -f core *.core core.conftest.* gmon.out bb.out conftest$ac_exeext \ + conftest.$ac_objext conftest.beam conftest.$ac_ext fi fi -if test "$tcl_ok" = 0; then - case $LIBOBJS in - "strncasecmp.$ac_objext" | \ - *" strncasecmp.$ac_objext" | \ - "strncasecmp.$ac_objext "* | \ - *" strncasecmp.$ac_objext "* ) ;; - *) LIBOBJS="$LIBOBJS strncasecmp.$ac_objext" ;; +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_strtod_buggy" >&5 +$as_echo "$tcl_cv_strtod_buggy" >&6; } + if test "$tcl_cv_strtod_buggy" = buggy; then + case " $LIBOBJS " in + *" fixstrtod.$ac_objext "* ) ;; + *) LIBOBJS="$LIBOBJS fixstrtod.$ac_objext" + ;; esac - USE_COMPAT=1 -fi + USE_COMPAT=1 + +$as_echo "#define strtod fixstrtod" >>confdefs.h + + fi + fi + #-------------------------------------------------------------------- -# The code below deals with several issues related to gettimeofday: -# 1. Some systems don't provide a gettimeofday function at all -# (set NO_GETTOD if this is the case). -# 2. See if gettimeofday is declared in the header file. -# if not, set the GETTOD_NOT_DECLARED flag so that tclPort.h can -# declare it. +# Check for various typedefs and provide substitutes if +# they don't exist. #-------------------------------------------------------------------- -echo "$as_me:$LINENO: checking for gettimeofday" >&5 -echo $ECHO_N "checking for gettimeofday... $ECHO_C" >&6 -if test "${ac_cv_func_gettimeofday+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +ac_fn_c_check_type "$LINENO" "mode_t" "ac_cv_type_mode_t" "$ac_includes_default" +if test "x$ac_cv_type_mode_t" = xyes; then : + else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define gettimeofday to an innocuous variant, in case declares gettimeofday. - For example, HP-UX 11i declares gettimeofday. */ -#define gettimeofday innocuous_gettimeofday -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char gettimeofday (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ +cat >>confdefs.h <<_ACEOF +#define mode_t int +_ACEOF -#ifdef __STDC__ -# include -#else -# include -#endif +fi -#undef gettimeofday +ac_fn_c_check_type "$LINENO" "pid_t" "ac_cv_type_pid_t" "$ac_includes_default" +if test "x$ac_cv_type_pid_t" = xyes; then : -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char gettimeofday (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_gettimeofday) || defined (__stub___gettimeofday) -choke me -#else -char (*f) () = gettimeofday; -#endif -#ifdef __cplusplus -} -#endif +else -int -main () -{ -return f != gettimeofday; - ; - return 0; -} +cat >>confdefs.h <<_ACEOF +#define pid_t int _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_func_gettimeofday=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 -ac_cv_func_gettimeofday=no -fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $ac_cv_func_gettimeofday" >&5 -echo "${ECHO_T}$ac_cv_func_gettimeofday" >&6 -if test $ac_cv_func_gettimeofday = yes; then - : -else +ac_fn_c_check_type "$LINENO" "size_t" "ac_cv_type_size_t" "$ac_includes_default" +if test "x$ac_cv_type_size_t" = xyes; then : -cat >>confdefs.h <<\_ACEOF -#define NO_GETTOD 1 -_ACEOF +else +cat >>confdefs.h <<_ACEOF +#define size_t unsigned int +_ACEOF fi -echo "$as_me:$LINENO: checking for gettimeofday declaration" >&5 -echo $ECHO_N "checking for gettimeofday declaration... $ECHO_C" >&6 -if test "${tcl_cv_grep_gettimeofday+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for uid_t in sys/types.h" >&5 +$as_echo_n "checking for uid_t in sys/types.h... " >&6; } +if ${ac_cv_type_uid_t+:} false; then : + $as_echo_n "(cached) " >&6 else - - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -#include +#include _ACEOF if (eval "$ac_cpp conftest.$ac_ext") 2>&5 | - $EGREP "gettimeofday" >/dev/null 2>&1; then - tcl_cv_grep_gettimeofday=present + $EGREP "uid_t" >/dev/null 2>&1; then : + ac_cv_type_uid_t=yes else - tcl_cv_grep_gettimeofday=missing + ac_cv_type_uid_t=no fi rm -f conftest* fi -echo "$as_me:$LINENO: result: $tcl_cv_grep_gettimeofday" >&5 -echo "${ECHO_T}$tcl_cv_grep_gettimeofday" >&6 -if test $tcl_cv_grep_gettimeofday = missing ; then - -cat >>confdefs.h <<\_ACEOF -#define GETTOD_NOT_DECLARED 1 -_ACEOF - -fi - -#-------------------------------------------------------------------- -# The following code checks to see whether it is possible to get -# signed chars on this platform. This is needed in order to -# properly generate sign-extended ints from character values. -#-------------------------------------------------------------------- +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_type_uid_t" >&5 +$as_echo "$ac_cv_type_uid_t" >&6; } +if test $ac_cv_type_uid_t = no; then +$as_echo "#define uid_t int" >>confdefs.h -echo "$as_me:$LINENO: checking whether char is unsigned" >&5 -echo $ECHO_N "checking whether char is unsigned... $ECHO_C" >&6 -if test "${ac_cv_c_char_unsigned+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -int -main () -{ -static int test_array [1 - 2 * !(((char) -1) < 0)]; -test_array [0] = 0 - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_c_char_unsigned=no -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 +$as_echo "#define gid_t int" >>confdefs.h -ac_cv_c_char_unsigned=yes fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: $ac_cv_c_char_unsigned" >&5 -echo "${ECHO_T}$ac_cv_c_char_unsigned" >&6 -if test $ac_cv_c_char_unsigned = yes && test "$GCC" != yes; then - cat >>confdefs.h <<\_ACEOF -#define __CHAR_UNSIGNED__ 1 -_ACEOF -fi -echo "$as_me:$LINENO: checking signed char declarations" >&5 -echo $ECHO_N "checking signed char declarations... $ECHO_C" >&6 -if test "${tcl_cv_char_signed+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for socklen_t" >&5 +$as_echo_n "checking for socklen_t... " >&6; } +if ${tcl_cv_type_socklen_t+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ + #include + #include + int main () { - signed char *p; - p = 0; + socklen_t foo; ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - tcl_cv_char_signed=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_type_socklen_t=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_char_signed=no + tcl_cv_type_socklen_t=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_char_signed" >&5 -echo "${ECHO_T}$tcl_cv_char_signed" >&6 -if test $tcl_cv_char_signed = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_type_socklen_t" >&5 +$as_echo "$tcl_cv_type_socklen_t" >&6; } +if test $tcl_cv_type_socklen_t = no; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_SIGNED_CHAR 1 -_ACEOF +$as_echo "#define socklen_t int" >>confdefs.h fi -#-------------------------------------------------------------------- -# Does putenv() copy or not? We need to know to avoid memory leaks. -#-------------------------------------------------------------------- +ac_fn_c_check_type "$LINENO" "intptr_t" "ac_cv_type_intptr_t" "$ac_includes_default" +if test "x$ac_cv_type_intptr_t" = xyes; then : + + +$as_echo "#define HAVE_INTPTR_T 1" >>confdefs.h -echo "$as_me:$LINENO: checking for a putenv() that copies the buffer" >&5 -echo $ECHO_N "checking for a putenv() that copies the buffer... $ECHO_C" >&6 -if test "${tcl_cv_putenv_copy+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 else - if test "$cross_compiling" = yes; then - tcl_cv_putenv_copy=no + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for pointer-size signed integer type" >&5 +$as_echo_n "checking for pointer-size signed integer type... " >&6; } +if ${tcl_cv_intptr_t+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ - #include - #define OURVAR "havecopy=yes" - int main (int argc, char *argv[]) - { - char *foo, *bar; - foo = (char *)strdup(OURVAR); - putenv(foo); - strcpy((char *)(strchr(foo, '=') + 1), "no"); - bar = getenv("havecopy"); - if (!strcmp(bar, "no")) { - /* doesnt copy */ - return 0; - } else { - /* does copy */ - return 1; - } - } + for tcl_cv_intptr_t in "int" "long" "long long" none; do + if test "$tcl_cv_intptr_t" != none; then + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +$ac_includes_default +int +main () +{ +static int test_array [1 - 2 * !(sizeof (void *) <= sizeof ($tcl_cv_intptr_t))]; +test_array [0] = 0; +return test_array [0]; + ; + return 0; +} _ACEOF -rm -f conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && { ac_try='./conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - tcl_cv_putenv_copy=no +if ac_fn_c_try_compile "$LINENO"; then : + tcl_ok=yes else - echo "$as_me: program exited with status $ac_status" >&5 -echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -( exit $ac_status ) -tcl_cv_putenv_copy=yes -fi -rm -f core *.core gmon.out bb.out conftest$ac_exeext conftest.$ac_objext conftest.$ac_ext + tcl_ok=no fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext + test "$tcl_ok" = yes && break; fi + done fi -echo "$as_me:$LINENO: result: $tcl_cv_putenv_copy" >&5 -echo "${ECHO_T}$tcl_cv_putenv_copy" >&6 -if test $tcl_cv_putenv_copy = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_intptr_t" >&5 +$as_echo "$tcl_cv_intptr_t" >&6; } + if test "$tcl_cv_intptr_t" != none; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_PUTENV_THAT_COPIES 1 +cat >>confdefs.h <<_ACEOF +#define intptr_t $tcl_cv_intptr_t _ACEOF -fi - -#-------------------------------------------------------------------- -# Check for support of nl_langinfo function -#-------------------------------------------------------------------- - - - # Check whether --enable-langinfo or --disable-langinfo was given. -if test "${enable_langinfo+set}" = set; then - enableval="$enable_langinfo" - langinfo_ok=$enableval -else - langinfo_ok=yes -fi; - - HAVE_LANGINFO=0 - if test "$langinfo_ok" = "yes"; then - if test "${ac_cv_header_langinfo_h+set}" = set; then - echo "$as_me:$LINENO: checking for langinfo.h" >&5 -echo $ECHO_N "checking for langinfo.h... $ECHO_C" >&6 -if test "${ac_cv_header_langinfo_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -fi -echo "$as_me:$LINENO: result: $ac_cv_header_langinfo_h" >&5 -echo "${ECHO_T}$ac_cv_header_langinfo_h" >&6 -else - # Is the header compilable? -echo "$as_me:$LINENO: checking langinfo.h usability" >&5 -echo $ECHO_N "checking langinfo.h usability... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -#include -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_header_compiler=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 + fi -ac_header_compiler=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_compiler" >&5 -echo "${ECHO_T}$ac_header_compiler" >&6 -# Is the header present? -echo "$as_me:$LINENO: checking langinfo.h presence" >&5 -echo $ECHO_N "checking langinfo.h presence... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include -_ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes -fi -if test -z "$ac_cpp_err"; then - ac_header_preproc=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 +ac_fn_c_check_type "$LINENO" "uintptr_t" "ac_cv_type_uintptr_t" "$ac_includes_default" +if test "x$ac_cv_type_uintptr_t" = xyes; then : - ac_header_preproc=no -fi -rm -f conftest.err conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_preproc" >&5 -echo "${ECHO_T}$ac_header_preproc" >&6 -# So? What about this header? -case $ac_header_compiler:$ac_header_preproc:$ac_c_preproc_warn_flag in - yes:no: ) - { echo "$as_me:$LINENO: WARNING: langinfo.h: accepted by the compiler, rejected by the preprocessor!" >&5 -echo "$as_me: WARNING: langinfo.h: accepted by the compiler, rejected by the preprocessor!" >&2;} - { echo "$as_me:$LINENO: WARNING: langinfo.h: proceeding with the compiler's result" >&5 -echo "$as_me: WARNING: langinfo.h: proceeding with the compiler's result" >&2;} - ac_header_preproc=yes - ;; - no:yes:* ) - { echo "$as_me:$LINENO: WARNING: langinfo.h: present but cannot be compiled" >&5 -echo "$as_me: WARNING: langinfo.h: present but cannot be compiled" >&2;} - { echo "$as_me:$LINENO: WARNING: langinfo.h: check for missing prerequisite headers?" >&5 -echo "$as_me: WARNING: langinfo.h: check for missing prerequisite headers?" >&2;} - { echo "$as_me:$LINENO: WARNING: langinfo.h: see the Autoconf documentation" >&5 -echo "$as_me: WARNING: langinfo.h: see the Autoconf documentation" >&2;} - { echo "$as_me:$LINENO: WARNING: langinfo.h: section \"Present But Cannot Be Compiled\"" >&5 -echo "$as_me: WARNING: langinfo.h: section \"Present But Cannot Be Compiled\"" >&2;} - { echo "$as_me:$LINENO: WARNING: langinfo.h: proceeding with the preprocessor's result" >&5 -echo "$as_me: WARNING: langinfo.h: proceeding with the preprocessor's result" >&2;} - { echo "$as_me:$LINENO: WARNING: langinfo.h: in the future, the compiler will take precedence" >&5 -echo "$as_me: WARNING: langinfo.h: in the future, the compiler will take precedence" >&2;} - ( - cat <<\_ASBOX -## ------------------------------ ## -## Report this to the tcl lists. ## -## ------------------------------ ## -_ASBOX - ) | - sed "s/^/$as_me: WARNING: /" >&2 - ;; -esac -echo "$as_me:$LINENO: checking for langinfo.h" >&5 -echo $ECHO_N "checking for langinfo.h... $ECHO_C" >&6 -if test "${ac_cv_header_langinfo_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - ac_cv_header_langinfo_h=$ac_header_preproc -fi -echo "$as_me:$LINENO: result: $ac_cv_header_langinfo_h" >&5 -echo "${ECHO_T}$ac_cv_header_langinfo_h" >&6 +$as_echo "#define HAVE_UINTPTR_T 1" >>confdefs.h -fi -if test $ac_cv_header_langinfo_h = yes; then - langinfo_ok=yes else - langinfo_ok=no -fi - - fi - echo "$as_me:$LINENO: checking whether to use nl_langinfo" >&5 -echo $ECHO_N "checking whether to use nl_langinfo... $ECHO_C" >&6 - if test "$langinfo_ok" = "yes"; then - if test "${tcl_cv_langinfo_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for pointer-size unsigned integer type" >&5 +$as_echo_n "checking for pointer-size unsigned integer type... " >&6; } +if ${tcl_cv_uintptr_t+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + for tcl_cv_uintptr_t in "unsigned int" "unsigned long" "unsigned long long" \ + none; do + if test "$tcl_cv_uintptr_t" != none; then + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -#include +$ac_includes_default int main () { -nl_langinfo(CODESET); +static int test_array [1 - 2 * !(sizeof (void *) <= sizeof ($tcl_cv_uintptr_t))]; +test_array [0] = 0; +return test_array [0]; + ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - tcl_cv_langinfo_h=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_ok=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_langinfo_h=no + tcl_ok=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext + test "$tcl_ok" = yes && break; fi + done fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_uintptr_t" >&5 +$as_echo "$tcl_cv_uintptr_t" >&6; } + if test "$tcl_cv_uintptr_t" != none; then - echo "$as_me:$LINENO: result: $tcl_cv_langinfo_h" >&5 -echo "${ECHO_T}$tcl_cv_langinfo_h" >&6 - if test $tcl_cv_langinfo_h = yes; then - -cat >>confdefs.h <<\_ACEOF -#define HAVE_LANGINFO 1 +cat >>confdefs.h <<_ACEOF +#define uintptr_t $tcl_cv_uintptr_t _ACEOF - fi - else - echo "$as_me:$LINENO: result: $langinfo_ok" >&5 -echo "${ECHO_T}$langinfo_ok" >&6 fi +fi + #-------------------------------------------------------------------- -# Check for support of chflags and mkstemps functions +# If a system doesn't have an opendir function (man, that's old!) +# then we have to supply a different version of dirent.h which +# is compatible with the substitute version of opendir that's +# provided. This version only works with V7-style directories. #-------------------------------------------------------------------- +ac_fn_c_check_func "$LINENO" "opendir" "ac_cv_func_opendir" +if test "x$ac_cv_func_opendir" = xyes; then : +else -for ac_func in chflags mkstemps -do -as_ac_var=`echo "ac_cv_func_$ac_func" | $as_tr_sh` -echo "$as_me:$LINENO: checking for $ac_func" >&5 -echo $ECHO_N "checking for $ac_func... $ECHO_C" >&6 -if eval "test \"\${$as_ac_var+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define $ac_func to an innocuous variant, in case declares $ac_func. - For example, HP-UX 11i declares gettimeofday. */ -#define $ac_func innocuous_$ac_func +$as_echo "#define USE_DIRENT2_H 1" >>confdefs.h -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char $ac_func (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ +fi -#ifdef __STDC__ -# include -#else -# include -#endif -#undef $ac_func +#-------------------------------------------------------------------- +# The check below checks whether defines the type +# "union wait" correctly. It's needed because of weirdness in +# HP-UX where "union wait" is defined in both the BSD and SYS-V +# environments. Checking the usability of WIFEXITED seems to do +# the trick. +#-------------------------------------------------------------------- -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char $ac_func (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_$ac_func) || defined (__stub___$ac_func) -choke me -#else -char (*f) () = $ac_func; -#endif -#ifdef __cplusplus -} -#endif +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking union wait" >&5 +$as_echo_n "checking union wait... " >&6; } +if ${tcl_cv_union_wait+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include +#include int main () { -return f != $ac_func; + +union wait x; +WIFEXITED(x); /* Generates compiler error if WIFEXITED + * uses an int. */ + ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - eval "$as_ac_var=yes" +if ac_fn_c_try_link "$LINENO"; then : + tcl_cv_union_wait=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -eval "$as_ac_var=no" + tcl_cv_union_wait=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_var'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_var'}'`" >&6 -if test `eval echo '${'$as_ac_var'}'` = yes; then - cat >>confdefs.h <<_ACEOF -#define `echo "HAVE_$ac_func" | $as_tr_cpp` 1 -_ACEOF +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_union_wait" >&5 +$as_echo "$tcl_cv_union_wait" >&6; } +if test $tcl_cv_union_wait = no; then -fi -done +$as_echo "#define NO_UNION_WAIT 1" >>confdefs.h +fi #-------------------------------------------------------------------- -# Check for support of isnan() function or macro +# Check whether there is an strncasecmp function on this system. +# This is a bit tricky because under SCO it's in -lsocket and +# under Sequent Dynix it's in -linet. #-------------------------------------------------------------------- -echo "$as_me:$LINENO: checking isnan" >&5 -echo $ECHO_N "checking isnan... $ECHO_C" >&6 -if test "${tcl_cv_isnan+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +ac_fn_c_check_func "$LINENO" "strncasecmp" "ac_cv_func_strncasecmp" +if test "x$ac_cv_func_strncasecmp" = xyes; then : + tcl_ok=1 else + tcl_ok=0 +fi - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +if test "$tcl_ok" = 0; then + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for strncasecmp in -lsocket" >&5 +$as_echo_n "checking for strncasecmp in -lsocket... " >&6; } +if ${ac_cv_lib_socket_strncasecmp+:} false; then : + $as_echo_n "(cached) " >&6 +else + ac_check_lib_save_LIBS=$LIBS +LIBS="-lsocket $LIBS" +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -#include + +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ +#ifdef __cplusplus +extern "C" +#endif +char strncasecmp (); int main () { - -isnan(0.0); /* Generates an error if isnan is missing */ - +return strncasecmp (); ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - tcl_cv_isnan=yes +if ac_fn_c_try_link "$LINENO"; then : + ac_cv_lib_socket_strncasecmp=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_isnan=no + ac_cv_lib_socket_strncasecmp=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext +LIBS=$ac_check_lib_save_LIBS fi -echo "$as_me:$LINENO: result: $tcl_cv_isnan" >&5 -echo "${ECHO_T}$tcl_cv_isnan" >&6 -if test $tcl_cv_isnan = no; then - -cat >>confdefs.h <<\_ACEOF -#define NO_ISNAN 1 -_ACEOF - +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_socket_strncasecmp" >&5 +$as_echo "$ac_cv_lib_socket_strncasecmp" >&6; } +if test "x$ac_cv_lib_socket_strncasecmp" = xyes; then : + tcl_ok=1 +else + tcl_ok=0 fi -#-------------------------------------------------------------------- -# Darwin specific API checks and defines -#-------------------------------------------------------------------- - -if test "`uname -s`" = "Darwin" ; then - -for ac_func in getattrlist -do -as_ac_var=`echo "ac_cv_func_$ac_func" | $as_tr_sh` -echo "$as_me:$LINENO: checking for $ac_func" >&5 -echo $ECHO_N "checking for $ac_func... $ECHO_C" >&6 -if eval "test \"\${$as_ac_var+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +fi +if test "$tcl_ok" = 0; then + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for strncasecmp in -linet" >&5 +$as_echo_n "checking for strncasecmp in -linet... " >&6; } +if ${ac_cv_lib_inet_strncasecmp+:} false; then : + $as_echo_n "(cached) " >&6 +else + ac_check_lib_save_LIBS=$LIBS +LIBS="-linet $LIBS" +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -/* Define $ac_func to an innocuous variant, in case declares $ac_func. - For example, HP-UX 11i declares gettimeofday. */ -#define $ac_func innocuous_$ac_func - -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char $ac_func (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ - -#ifdef __STDC__ -# include -#else -# include -#endif - -#undef $ac_func -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC builtin and then its argument prototype would still apply. */ -char $ac_func (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_$ac_func) || defined (__stub___$ac_func) -choke me -#else -char (*f) () = $ac_func; -#endif #ifdef __cplusplus -} +extern "C" #endif - +char strncasecmp (); int main () { -return f != $ac_func; +return strncasecmp (); ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - eval "$as_ac_var=yes" +if ac_fn_c_try_link "$LINENO"; then : + ac_cv_lib_inet_strncasecmp=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -eval "$as_ac_var=no" + ac_cv_lib_inet_strncasecmp=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext +LIBS=$ac_check_lib_save_LIBS fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_var'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_var'}'`" >&6 -if test `eval echo '${'$as_ac_var'}'` = yes; then - cat >>confdefs.h <<_ACEOF -#define `echo "HAVE_$ac_func" | $as_tr_cpp` 1 -_ACEOF - +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_inet_strncasecmp" >&5 +$as_echo "$ac_cv_lib_inet_strncasecmp" >&6; } +if test "x$ac_cv_lib_inet_strncasecmp" = xyes; then : + tcl_ok=1 +else + tcl_ok=0 fi -done +fi +if test "$tcl_ok" = 0; then + case " $LIBOBJS " in + *" strncasecmp.$ac_objext "* ) ;; + *) LIBOBJS="$LIBOBJS strncasecmp.$ac_objext" + ;; +esac -for ac_header in copyfile.h -do -as_ac_Header=`echo "ac_cv_header_$ac_header" | $as_tr_sh` -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo "$as_me:$LINENO: checking for $ac_header" >&5 -echo $ECHO_N "checking for $ac_header... $ECHO_C" >&6 -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + USE_COMPAT=1 fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_Header'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_Header'}'`" >&6 -else - # Is the header compilable? -echo "$as_me:$LINENO: checking $ac_header usability" >&5 -echo $ECHO_N "checking $ac_header usability... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -#include <$ac_header> -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_header_compiler=yes + +#-------------------------------------------------------------------- +# The code below deals with several issues related to gettimeofday: +# 1. Some systems don't provide a gettimeofday function at all +# (set NO_GETTOD if this is the case). +# 2. See if gettimeofday is declared in the header file. +# if not, set the GETTOD_NOT_DECLARED flag so that tclPort.h can +# declare it. +#-------------------------------------------------------------------- + +ac_fn_c_check_func "$LINENO" "gettimeofday" "ac_cv_func_gettimeofday" +if test "x$ac_cv_func_gettimeofday" = xyes; then : + else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 -ac_header_compiler=no + +$as_echo "#define NO_GETTOD 1" >>confdefs.h + + fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_compiler" >&5 -echo "${ECHO_T}$ac_header_compiler" >&6 -# Is the header present? -echo "$as_me:$LINENO: checking $ac_header presence" >&5 -echo $ECHO_N "checking $ac_header presence... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for gettimeofday declaration" >&5 +$as_echo_n "checking for gettimeofday declaration... " >&6; } +if ${tcl_cv_grep_gettimeofday+:} false; then : + $as_echo_n "(cached) " >&6 +else + + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -#include <$ac_header> +#include + _ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi +if (eval "$ac_cpp conftest.$ac_ext") 2>&5 | + $EGREP "gettimeofday" >/dev/null 2>&1; then : + tcl_cv_grep_gettimeofday=present else - ac_cpp_err=yes + tcl_cv_grep_gettimeofday=missing fi -if test -z "$ac_cpp_err"; then - ac_header_preproc=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 +rm -f conftest* - ac_header_preproc=no fi -rm -f conftest.err conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_preproc" >&5 -echo "${ECHO_T}$ac_header_preproc" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_grep_gettimeofday" >&5 +$as_echo "$tcl_cv_grep_gettimeofday" >&6; } +if test $tcl_cv_grep_gettimeofday = missing ; then -# So? What about this header? -case $ac_header_compiler:$ac_header_preproc:$ac_c_preproc_warn_flag in - yes:no: ) - { echo "$as_me:$LINENO: WARNING: $ac_header: accepted by the compiler, rejected by the preprocessor!" >&5 -echo "$as_me: WARNING: $ac_header: accepted by the compiler, rejected by the preprocessor!" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: proceeding with the compiler's result" >&5 -echo "$as_me: WARNING: $ac_header: proceeding with the compiler's result" >&2;} - ac_header_preproc=yes - ;; - no:yes:* ) - { echo "$as_me:$LINENO: WARNING: $ac_header: present but cannot be compiled" >&5 -echo "$as_me: WARNING: $ac_header: present but cannot be compiled" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: check for missing prerequisite headers?" >&5 -echo "$as_me: WARNING: $ac_header: check for missing prerequisite headers?" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: see the Autoconf documentation" >&5 -echo "$as_me: WARNING: $ac_header: see the Autoconf documentation" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: section \"Present But Cannot Be Compiled\"" >&5 -echo "$as_me: WARNING: $ac_header: section \"Present But Cannot Be Compiled\"" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: proceeding with the preprocessor's result" >&5 -echo "$as_me: WARNING: $ac_header: proceeding with the preprocessor's result" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: in the future, the compiler will take precedence" >&5 -echo "$as_me: WARNING: $ac_header: in the future, the compiler will take precedence" >&2;} - ( - cat <<\_ASBOX -## ------------------------------ ## -## Report this to the tcl lists. ## -## ------------------------------ ## -_ASBOX - ) | - sed "s/^/$as_me: WARNING: /" >&2 - ;; -esac -echo "$as_me:$LINENO: checking for $ac_header" >&5 -echo $ECHO_N "checking for $ac_header... $ECHO_C" >&6 -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +$as_echo "#define GETTOD_NOT_DECLARED 1" >>confdefs.h + +fi + +#-------------------------------------------------------------------- +# The following code checks to see whether it is possible to get +# signed chars on this platform. This is needed in order to +# properly generate sign-extended ints from character values. +#-------------------------------------------------------------------- + +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether char is unsigned" >&5 +$as_echo_n "checking whether char is unsigned... " >&6; } +if ${ac_cv_c_char_unsigned+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +$ac_includes_default +int +main () +{ +static int test_array [1 - 2 * !(((char) -1) < 0)]; +test_array [0] = 0; +return test_array [0]; + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + ac_cv_c_char_unsigned=no else - eval "$as_ac_Header=\$ac_header_preproc" + ac_cv_c_char_unsigned=yes fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_Header'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_Header'}'`" >&6 - +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -if test `eval echo '${'$as_ac_Header'}'` = yes; then - cat >>confdefs.h <<_ACEOF -#define `echo "HAVE_$ac_header" | $as_tr_cpp` 1 -_ACEOF +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_c_char_unsigned" >&5 +$as_echo "$ac_cv_c_char_unsigned" >&6; } +if test $ac_cv_c_char_unsigned = yes && test "$GCC" != yes; then + $as_echo "#define __CHAR_UNSIGNED__ 1" >>confdefs.h fi -done - +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking signed char declarations" >&5 +$as_echo_n "checking signed char declarations... " >&6; } +if ${tcl_cv_char_signed+:} false; then : + $as_echo_n "(cached) " >&6 +else -for ac_func in copyfile -do -as_ac_var=`echo "ac_cv_func_$ac_func" | $as_tr_sh` -echo "$as_me:$LINENO: checking for $ac_func" >&5 -echo $ECHO_N "checking for $ac_func... $ECHO_C" >&6 -if eval "test \"\${$as_ac_var+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -/* Define $ac_func to an innocuous variant, in case declares $ac_func. - For example, HP-UX 11i declares gettimeofday. */ -#define $ac_func innocuous_$ac_func - -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char $ac_func (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ - -#ifdef __STDC__ -# include -#else -# include -#endif - -#undef $ac_func - -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char $ac_func (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_$ac_func) || defined (__stub___$ac_func) -choke me -#else -char (*f) () = $ac_func; -#endif -#ifdef __cplusplus -} -#endif int main () { -return f != $ac_func; + + signed char *p; + p = 0; + ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - eval "$as_ac_var=yes" +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_char_signed=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -eval "$as_ac_var=no" + tcl_cv_char_signed=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_var'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_var'}'`" >&6 -if test `eval echo '${'$as_ac_var'}'` = yes; then - cat >>confdefs.h <<_ACEOF -#define `echo "HAVE_$ac_func" | $as_tr_cpp` 1 -_ACEOF +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_char_signed" >&5 +$as_echo "$tcl_cv_char_signed" >&6; } +if test $tcl_cv_char_signed = yes; then + +$as_echo "#define HAVE_SIGNED_CHAR 1" >>confdefs.h fi -done - if test $tcl_corefoundation = yes; then +#-------------------------------------------------------------------- +# Does putenv() copy or not? We need to know to avoid memory leaks. +#-------------------------------------------------------------------- -for ac_header in libkern/OSAtomic.h -do -as_ac_Header=`echo "ac_cv_header_$ac_header" | $as_tr_sh` -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo "$as_me:$LINENO: checking for $ac_header" >&5 -echo $ECHO_N "checking for $ac_header... $ECHO_C" >&6 -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_Header'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_Header'}'`" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for a putenv() that copies the buffer" >&5 +$as_echo_n "checking for a putenv() that copies the buffer... " >&6; } +if ${tcl_cv_putenv_copy+:} false; then : + $as_echo_n "(cached) " >&6 else - # Is the header compilable? -echo "$as_me:$LINENO: checking $ac_header usability" >&5 -echo $ECHO_N "checking $ac_header usability... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -#include <$ac_header> -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_header_compiler=yes + + if test "$cross_compiling" = yes; then : + tcl_cv_putenv_copy=no else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ -ac_header_compiler=no -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_compiler" >&5 -echo "${ECHO_T}$ac_header_compiler" >&6 + #include + #define OURVAR "havecopy=yes" + int main (int argc, char *argv[]) + { + char *foo, *bar; + foo = (char *)strdup(OURVAR); + putenv(foo); + strcpy((char *)(strchr(foo, '=') + 1), "no"); + bar = getenv("havecopy"); + if (!strcmp(bar, "no")) { + /* doesnt copy */ + return 0; + } else { + /* does copy */ + return 1; + } + } -# Is the header present? -echo "$as_me:$LINENO: checking $ac_header presence" >&5 -echo $ECHO_N "checking $ac_header presence... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include <$ac_header> _ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi +if ac_fn_c_try_run "$LINENO"; then : + tcl_cv_putenv_copy=no else - ac_cpp_err=yes + tcl_cv_putenv_copy=yes fi -if test -z "$ac_cpp_err"; then - ac_header_preproc=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - - ac_header_preproc=no +rm -f core *.core core.conftest.* gmon.out bb.out conftest$ac_exeext \ + conftest.$ac_objext conftest.beam conftest.$ac_ext fi -rm -f conftest.err conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_preproc" >&5 -echo "${ECHO_T}$ac_header_preproc" >&6 -# So? What about this header? -case $ac_header_compiler:$ac_header_preproc:$ac_c_preproc_warn_flag in - yes:no: ) - { echo "$as_me:$LINENO: WARNING: $ac_header: accepted by the compiler, rejected by the preprocessor!" >&5 -echo "$as_me: WARNING: $ac_header: accepted by the compiler, rejected by the preprocessor!" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: proceeding with the compiler's result" >&5 -echo "$as_me: WARNING: $ac_header: proceeding with the compiler's result" >&2;} - ac_header_preproc=yes - ;; - no:yes:* ) - { echo "$as_me:$LINENO: WARNING: $ac_header: present but cannot be compiled" >&5 -echo "$as_me: WARNING: $ac_header: present but cannot be compiled" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: check for missing prerequisite headers?" >&5 -echo "$as_me: WARNING: $ac_header: check for missing prerequisite headers?" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: see the Autoconf documentation" >&5 -echo "$as_me: WARNING: $ac_header: see the Autoconf documentation" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: section \"Present But Cannot Be Compiled\"" >&5 -echo "$as_me: WARNING: $ac_header: section \"Present But Cannot Be Compiled\"" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: proceeding with the preprocessor's result" >&5 -echo "$as_me: WARNING: $ac_header: proceeding with the preprocessor's result" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: in the future, the compiler will take precedence" >&5 -echo "$as_me: WARNING: $ac_header: in the future, the compiler will take precedence" >&2;} - ( - cat <<\_ASBOX -## ------------------------------ ## -## Report this to the tcl lists. ## -## ------------------------------ ## -_ASBOX - ) | - sed "s/^/$as_me: WARNING: /" >&2 - ;; -esac -echo "$as_me:$LINENO: checking for $ac_header" >&5 -echo $ECHO_N "checking for $ac_header... $ECHO_C" >&6 -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - eval "$as_ac_Header=\$ac_header_preproc" fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_Header'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_Header'}'`" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_putenv_copy" >&5 +$as_echo "$tcl_cv_putenv_copy" >&6; } +if test $tcl_cv_putenv_copy = yes; then -fi -if test `eval echo '${'$as_ac_Header'}'` = yes; then - cat >>confdefs.h <<_ACEOF -#define `echo "HAVE_$ac_header" | $as_tr_cpp` 1 -_ACEOF +$as_echo "#define HAVE_PUTENV_THAT_COPIES 1" >>confdefs.h fi -done +#-------------------------------------------------------------------- +# Check for support of nl_langinfo function +#-------------------------------------------------------------------- -for ac_func in OSSpinLockLock -do -as_ac_var=`echo "ac_cv_func_$ac_func" | $as_tr_sh` -echo "$as_me:$LINENO: checking for $ac_func" >&5 -echo $ECHO_N "checking for $ac_func... $ECHO_C" >&6 -if eval "test \"\${$as_ac_var+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define $ac_func to an innocuous variant, in case declares $ac_func. - For example, HP-UX 11i declares gettimeofday. */ -#define $ac_func innocuous_$ac_func + # Check whether --enable-langinfo was given. +if test "${enable_langinfo+set}" = set; then : + enableval=$enable_langinfo; langinfo_ok=$enableval +else + langinfo_ok=yes +fi -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char $ac_func (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ -#ifdef __STDC__ -# include -#else -# include -#endif + HAVE_LANGINFO=0 + if test "$langinfo_ok" = "yes"; then + ac_fn_c_check_header_mongrel "$LINENO" "langinfo.h" "ac_cv_header_langinfo_h" "$ac_includes_default" +if test "x$ac_cv_header_langinfo_h" = xyes; then : + langinfo_ok=yes +else + langinfo_ok=no +fi -#undef $ac_func -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char $ac_func (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_$ac_func) || defined (__stub___$ac_func) -choke me -#else -char (*f) () = $ac_func; -#endif -#ifdef __cplusplus -} -#endif + fi + { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether to use nl_langinfo" >&5 +$as_echo_n "checking whether to use nl_langinfo... " >&6; } + if test "$langinfo_ok" = "yes"; then + if ${tcl_cv_langinfo_h+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include int main () { -return f != $ac_func; +nl_langinfo(CODESET); ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - eval "$as_ac_var=yes" +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_langinfo_h=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -eval "$as_ac_var=no" + tcl_cv_langinfo_h=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_var'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_var'}'`" >&6 -if test `eval echo '${'$as_ac_var'}'` = yes; then + + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_langinfo_h" >&5 +$as_echo "$tcl_cv_langinfo_h" >&6; } + if test $tcl_cv_langinfo_h = yes; then + +$as_echo "#define HAVE_LANGINFO 1" >>confdefs.h + + fi + else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $langinfo_ok" >&5 +$as_echo "$langinfo_ok" >&6; } + fi + + +#-------------------------------------------------------------------- +# Check for support of chflags and mkstemps functions +#-------------------------------------------------------------------- + +for ac_func in chflags mkstemps +do : + as_ac_var=`$as_echo "ac_cv_func_$ac_func" | $as_tr_sh` +ac_fn_c_check_func "$LINENO" "$ac_func" "$as_ac_var" +if eval test \"x\$"$as_ac_var"\" = x"yes"; then : cat >>confdefs.h <<_ACEOF -#define `echo "HAVE_$ac_func" | $as_tr_cpp` 1 +#define `$as_echo "HAVE_$ac_func" | $as_tr_cpp` 1 _ACEOF fi done - fi -cat >>confdefs.h <<\_ACEOF -#define USE_VFORK 1 -_ACEOF +#-------------------------------------------------------------------- +# Check for support of isnan() function or macro +#-------------------------------------------------------------------- +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking isnan" >&5 +$as_echo_n "checking isnan... " >&6; } +if ${tcl_cv_isnan+:} false; then : + $as_echo_n "(cached) " >&6 +else -cat >>confdefs.h <<\_ACEOF -#define TCL_DEFAULT_ENCODING "utf-8" -_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include +int +main () +{ +isnan(0.0); /* Generates an error if isnan is missing */ -cat >>confdefs.h <<\_ACEOF -#define TCL_LOAD_FROM_MEMORY 1 + ; + return 0; +} _ACEOF +if ac_fn_c_try_link "$LINENO"; then : + tcl_cv_isnan=yes +else + tcl_cv_isnan=no +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_isnan" >&5 +$as_echo "$tcl_cv_isnan" >&6; } +if test $tcl_cv_isnan = no; then +$as_echo "#define NO_ISNAN 1" >>confdefs.h -cat >>confdefs.h <<\_ACEOF -#define TCL_WIDE_CLICKS 1 -_ACEOF +fi +#-------------------------------------------------------------------- +# Darwin specific API checks and defines +#-------------------------------------------------------------------- -for ac_header in AvailabilityMacros.h -do -as_ac_Header=`echo "ac_cv_header_$ac_header" | $as_tr_sh` -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo "$as_me:$LINENO: checking for $ac_header" >&5 -echo $ECHO_N "checking for $ac_header... $ECHO_C" >&6 -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_Header'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_Header'}'`" >&6 -else - # Is the header compilable? -echo "$as_me:$LINENO: checking $ac_header usability" >&5 -echo $ECHO_N "checking $ac_header usability... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -#include <$ac_header> +if test "`uname -s`" = "Darwin" ; then + for ac_func in getattrlist +do : + ac_fn_c_check_func "$LINENO" "getattrlist" "ac_cv_func_getattrlist" +if test "x$ac_cv_func_getattrlist" = xyes; then : + cat >>confdefs.h <<_ACEOF +#define HAVE_GETATTRLIST 1 _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_header_compiler=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 -ac_header_compiler=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_compiler" >&5 -echo "${ECHO_T}$ac_header_compiler" >&6 +done -# Is the header present? -echo "$as_me:$LINENO: checking $ac_header presence" >&5 -echo $ECHO_N "checking $ac_header presence... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include <$ac_header> + for ac_header in copyfile.h +do : + ac_fn_c_check_header_mongrel "$LINENO" "copyfile.h" "ac_cv_header_copyfile_h" "$ac_includes_default" +if test "x$ac_cv_header_copyfile_h" = xyes; then : + cat >>confdefs.h <<_ACEOF +#define HAVE_COPYFILE_H 1 _ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes + fi -if test -z "$ac_cpp_err"; then - ac_header_preproc=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - ac_header_preproc=no +done + + for ac_func in copyfile +do : + ac_fn_c_check_func "$LINENO" "copyfile" "ac_cv_func_copyfile" +if test "x$ac_cv_func_copyfile" = xyes; then : + cat >>confdefs.h <<_ACEOF +#define HAVE_COPYFILE 1 +_ACEOF + fi -rm -f conftest.err conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_preproc" >&5 -echo "${ECHO_T}$ac_header_preproc" >&6 +done + + if test $tcl_corefoundation = yes; then + for ac_header in libkern/OSAtomic.h +do : + ac_fn_c_check_header_mongrel "$LINENO" "libkern/OSAtomic.h" "ac_cv_header_libkern_OSAtomic_h" "$ac_includes_default" +if test "x$ac_cv_header_libkern_OSAtomic_h" = xyes; then : + cat >>confdefs.h <<_ACEOF +#define HAVE_LIBKERN_OSATOMIC_H 1 +_ACEOF -# So? What about this header? -case $ac_header_compiler:$ac_header_preproc:$ac_c_preproc_warn_flag in - yes:no: ) - { echo "$as_me:$LINENO: WARNING: $ac_header: accepted by the compiler, rejected by the preprocessor!" >&5 -echo "$as_me: WARNING: $ac_header: accepted by the compiler, rejected by the preprocessor!" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: proceeding with the compiler's result" >&5 -echo "$as_me: WARNING: $ac_header: proceeding with the compiler's result" >&2;} - ac_header_preproc=yes - ;; - no:yes:* ) - { echo "$as_me:$LINENO: WARNING: $ac_header: present but cannot be compiled" >&5 -echo "$as_me: WARNING: $ac_header: present but cannot be compiled" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: check for missing prerequisite headers?" >&5 -echo "$as_me: WARNING: $ac_header: check for missing prerequisite headers?" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: see the Autoconf documentation" >&5 -echo "$as_me: WARNING: $ac_header: see the Autoconf documentation" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: section \"Present But Cannot Be Compiled\"" >&5 -echo "$as_me: WARNING: $ac_header: section \"Present But Cannot Be Compiled\"" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: proceeding with the preprocessor's result" >&5 -echo "$as_me: WARNING: $ac_header: proceeding with the preprocessor's result" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: in the future, the compiler will take precedence" >&5 -echo "$as_me: WARNING: $ac_header: in the future, the compiler will take precedence" >&2;} - ( - cat <<\_ASBOX -## ------------------------------ ## -## Report this to the tcl lists. ## -## ------------------------------ ## -_ASBOX - ) | - sed "s/^/$as_me: WARNING: /" >&2 - ;; -esac -echo "$as_me:$LINENO: checking for $ac_header" >&5 -echo $ECHO_N "checking for $ac_header... $ECHO_C" >&6 -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - eval "$as_ac_Header=\$ac_header_preproc" fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_Header'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_Header'}'`" >&6 + +done + + for ac_func in OSSpinLockLock +do : + ac_fn_c_check_func "$LINENO" "OSSpinLockLock" "ac_cv_func_OSSpinLockLock" +if test "x$ac_cv_func_OSSpinLockLock" = xyes; then : + cat >>confdefs.h <<_ACEOF +#define HAVE_OSSPINLOCKLOCK 1 +_ACEOF fi -if test `eval echo '${'$as_ac_Header'}'` = yes; then +done + + fi + +$as_echo "#define USE_VFORK 1" >>confdefs.h + + +$as_echo "#define TCL_DEFAULT_ENCODING \"utf-8\"" >>confdefs.h + + +$as_echo "#define TCL_LOAD_FROM_MEMORY 1" >>confdefs.h + + +$as_echo "#define TCL_WIDE_CLICKS 1" >>confdefs.h + + for ac_header in AvailabilityMacros.h +do : + ac_fn_c_check_header_mongrel "$LINENO" "AvailabilityMacros.h" "ac_cv_header_AvailabilityMacros_h" "$ac_includes_default" +if test "x$ac_cv_header_AvailabilityMacros_h" = xyes; then : cat >>confdefs.h <<_ACEOF -#define `echo "HAVE_$ac_header" | $as_tr_cpp` 1 +#define HAVE_AVAILABILITYMACROS_H 1 _ACEOF fi @@ -17917,18 +9802,14 @@ fi done if test "$ac_cv_header_AvailabilityMacros_h" = yes; then - echo "$as_me:$LINENO: checking if weak import is available" >&5 -echo $ECHO_N "checking if weak import is available... $ECHO_C" >&6 -if test "${tcl_cv_cc_weak_import+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if weak import is available" >&5 +$as_echo_n "checking if weak import is available... " >&6; } +if ${tcl_cv_cc_weak_import+:} false; then : + $as_echo_n "(cached) " >&6 else hold_cflags=$CFLAGS; CFLAGS="$CFLAGS -Werror" - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #ifdef __ENVIRONMENT_MAC_OS_X_VERSION_MIN_REQUIRED__ @@ -17948,60 +9829,30 @@ rand(); return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : tcl_cv_cc_weak_import=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_cc_weak_import=no + tcl_cv_cc_weak_import=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext CFLAGS=$hold_cflags fi -echo "$as_me:$LINENO: result: $tcl_cv_cc_weak_import" >&5 -echo "${ECHO_T}$tcl_cv_cc_weak_import" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_cc_weak_import" >&5 +$as_echo "$tcl_cv_cc_weak_import" >&6; } if test $tcl_cv_cc_weak_import = yes; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_WEAK_IMPORT 1 -_ACEOF +$as_echo "#define HAVE_WEAK_IMPORT 1" >>confdefs.h fi - echo "$as_me:$LINENO: checking if Darwin SUSv3 extensions are available" >&5 -echo $ECHO_N "checking if Darwin SUSv3 extensions are available... $ECHO_C" >&6 -if test "${tcl_cv_cc_darwin_c_source+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if Darwin SUSv3 extensions are available" >&5 +$as_echo_n "checking if Darwin SUSv3 extensions are available... " >&6; } +if ${tcl_cv_cc_darwin_c_source+:} false; then : + $as_echo_n "(cached) " >&6 else hold_cflags=$CFLAGS; CFLAGS="$CFLAGS -Werror" - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #ifdef __ENVIRONMENT_MAC_OS_X_VERSION_MIN_REQUIRED__ @@ -18022,45 +9873,19 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_cc_darwin_c_source=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_cc_darwin_c_source=no + tcl_cv_cc_darwin_c_source=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext CFLAGS=$hold_cflags fi -echo "$as_me:$LINENO: result: $tcl_cv_cc_darwin_c_source" >&5 -echo "${ECHO_T}$tcl_cv_cc_darwin_c_source" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_cc_darwin_c_source" >&5 +$as_echo "$tcl_cv_cc_darwin_c_source" >&6; } if test $tcl_cv_cc_darwin_c_source = yes; then -cat >>confdefs.h <<\_ACEOF -#define _DARWIN_C_SOURCE 1 -_ACEOF +$as_echo "#define _DARWIN_C_SOURCE 1" >>confdefs.h fi fi @@ -18076,17 +9901,13 @@ fi # Check for support of fts functions (readdir replacement) #-------------------------------------------------------------------- -echo "$as_me:$LINENO: checking for fts" >&5 -echo $ECHO_N "checking for fts... $ECHO_C" >&6 -if test "${tcl_cv_api_fts+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for fts" >&5 +$as_echo_n "checking for fts... " >&6; } +if ${tcl_cv_api_fts+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include @@ -18105,45 +9926,19 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : tcl_cv_api_fts=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_api_fts=no + tcl_cv_api_fts=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_api_fts" >&5 -echo "${ECHO_T}$tcl_cv_api_fts" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_api_fts" >&5 +$as_echo "$tcl_cv_api_fts" >&6; } if test $tcl_cv_api_fts = yes; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_FTS 1 -_ACEOF +$as_echo "#define HAVE_FTS 1" >>confdefs.h fi @@ -18154,300 +9949,24 @@ fi #-------------------------------------------------------------------- - -for ac_header in sys/ioctl.h -do -as_ac_Header=`echo "ac_cv_header_$ac_header" | $as_tr_sh` -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo "$as_me:$LINENO: checking for $ac_header" >&5 -echo $ECHO_N "checking for $ac_header... $ECHO_C" >&6 -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_Header'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_Header'}'`" >&6 -else - # Is the header compilable? -echo "$as_me:$LINENO: checking $ac_header usability" >&5 -echo $ECHO_N "checking $ac_header usability... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -#include <$ac_header> -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_header_compiler=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_header_compiler=no -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_compiler" >&5 -echo "${ECHO_T}$ac_header_compiler" >&6 - -# Is the header present? -echo "$as_me:$LINENO: checking $ac_header presence" >&5 -echo $ECHO_N "checking $ac_header presence... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include <$ac_header> -_ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes -fi -if test -z "$ac_cpp_err"; then - ac_header_preproc=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - - ac_header_preproc=no -fi -rm -f conftest.err conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_preproc" >&5 -echo "${ECHO_T}$ac_header_preproc" >&6 - -# So? What about this header? -case $ac_header_compiler:$ac_header_preproc:$ac_c_preproc_warn_flag in - yes:no: ) - { echo "$as_me:$LINENO: WARNING: $ac_header: accepted by the compiler, rejected by the preprocessor!" >&5 -echo "$as_me: WARNING: $ac_header: accepted by the compiler, rejected by the preprocessor!" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: proceeding with the compiler's result" >&5 -echo "$as_me: WARNING: $ac_header: proceeding with the compiler's result" >&2;} - ac_header_preproc=yes - ;; - no:yes:* ) - { echo "$as_me:$LINENO: WARNING: $ac_header: present but cannot be compiled" >&5 -echo "$as_me: WARNING: $ac_header: present but cannot be compiled" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: check for missing prerequisite headers?" >&5 -echo "$as_me: WARNING: $ac_header: check for missing prerequisite headers?" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: see the Autoconf documentation" >&5 -echo "$as_me: WARNING: $ac_header: see the Autoconf documentation" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: section \"Present But Cannot Be Compiled\"" >&5 -echo "$as_me: WARNING: $ac_header: section \"Present But Cannot Be Compiled\"" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: proceeding with the preprocessor's result" >&5 -echo "$as_me: WARNING: $ac_header: proceeding with the preprocessor's result" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: in the future, the compiler will take precedence" >&5 -echo "$as_me: WARNING: $ac_header: in the future, the compiler will take precedence" >&2;} - ( - cat <<\_ASBOX -## ------------------------------ ## -## Report this to the tcl lists. ## -## ------------------------------ ## -_ASBOX - ) | - sed "s/^/$as_me: WARNING: /" >&2 - ;; -esac -echo "$as_me:$LINENO: checking for $ac_header" >&5 -echo $ECHO_N "checking for $ac_header... $ECHO_C" >&6 -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - eval "$as_ac_Header=\$ac_header_preproc" -fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_Header'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_Header'}'`" >&6 - -fi -if test `eval echo '${'$as_ac_Header'}'` = yes; then + for ac_header in sys/ioctl.h +do : + ac_fn_c_check_header_mongrel "$LINENO" "sys/ioctl.h" "ac_cv_header_sys_ioctl_h" "$ac_includes_default" +if test "x$ac_cv_header_sys_ioctl_h" = xyes; then : cat >>confdefs.h <<_ACEOF -#define `echo "HAVE_$ac_header" | $as_tr_cpp` 1 +#define HAVE_SYS_IOCTL_H 1 _ACEOF fi done - -for ac_header in sys/filio.h -do -as_ac_Header=`echo "ac_cv_header_$ac_header" | $as_tr_sh` -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo "$as_me:$LINENO: checking for $ac_header" >&5 -echo $ECHO_N "checking for $ac_header... $ECHO_C" >&6 -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_Header'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_Header'}'`" >&6 -else - # Is the header compilable? -echo "$as_me:$LINENO: checking $ac_header usability" >&5 -echo $ECHO_N "checking $ac_header usability... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -#include <$ac_header> -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_header_compiler=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_header_compiler=no -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_compiler" >&5 -echo "${ECHO_T}$ac_header_compiler" >&6 - -# Is the header present? -echo "$as_me:$LINENO: checking $ac_header presence" >&5 -echo $ECHO_N "checking $ac_header presence... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include <$ac_header> -_ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes -fi -if test -z "$ac_cpp_err"; then - ac_header_preproc=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - - ac_header_preproc=no -fi -rm -f conftest.err conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_preproc" >&5 -echo "${ECHO_T}$ac_header_preproc" >&6 - -# So? What about this header? -case $ac_header_compiler:$ac_header_preproc:$ac_c_preproc_warn_flag in - yes:no: ) - { echo "$as_me:$LINENO: WARNING: $ac_header: accepted by the compiler, rejected by the preprocessor!" >&5 -echo "$as_me: WARNING: $ac_header: accepted by the compiler, rejected by the preprocessor!" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: proceeding with the compiler's result" >&5 -echo "$as_me: WARNING: $ac_header: proceeding with the compiler's result" >&2;} - ac_header_preproc=yes - ;; - no:yes:* ) - { echo "$as_me:$LINENO: WARNING: $ac_header: present but cannot be compiled" >&5 -echo "$as_me: WARNING: $ac_header: present but cannot be compiled" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: check for missing prerequisite headers?" >&5 -echo "$as_me: WARNING: $ac_header: check for missing prerequisite headers?" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: see the Autoconf documentation" >&5 -echo "$as_me: WARNING: $ac_header: see the Autoconf documentation" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: section \"Present But Cannot Be Compiled\"" >&5 -echo "$as_me: WARNING: $ac_header: section \"Present But Cannot Be Compiled\"" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: proceeding with the preprocessor's result" >&5 -echo "$as_me: WARNING: $ac_header: proceeding with the preprocessor's result" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: in the future, the compiler will take precedence" >&5 -echo "$as_me: WARNING: $ac_header: in the future, the compiler will take precedence" >&2;} - ( - cat <<\_ASBOX -## ------------------------------ ## -## Report this to the tcl lists. ## -## ------------------------------ ## -_ASBOX - ) | - sed "s/^/$as_me: WARNING: /" >&2 - ;; -esac -echo "$as_me:$LINENO: checking for $ac_header" >&5 -echo $ECHO_N "checking for $ac_header... $ECHO_C" >&6 -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - eval "$as_ac_Header=\$ac_header_preproc" -fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_Header'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_Header'}'`" >&6 - -fi -if test `eval echo '${'$as_ac_Header'}'` = yes; then + for ac_header in sys/filio.h +do : + ac_fn_c_check_header_mongrel "$LINENO" "sys/filio.h" "ac_cv_header_sys_filio_h" "$ac_includes_default" +if test "x$ac_cv_header_sys_filio_h" = xyes; then : cat >>confdefs.h <<_ACEOF -#define `echo "HAVE_$ac_header" | $as_tr_cpp` 1 +#define HAVE_SYS_FILIO_H 1 _ACEOF fi @@ -18455,10 +9974,10 @@ fi done - echo "$as_me:$LINENO: checking system version" >&5 -echo $ECHO_N "checking system version... $ECHO_C" >&6 -if test "${tcl_cv_sys_version+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking system version" >&5 +$as_echo_n "checking system version... " >&6; } +if ${tcl_cv_sys_version+:} false; then : + $as_echo_n "(cached) " >&6 else if test -f /usr/lib/NextStep/software_version; then @@ -18466,8 +9985,8 @@ else else tcl_cv_sys_version=`uname -s`-`uname -r` if test "$?" -ne 0 ; then - { echo "$as_me:$LINENO: WARNING: can't find uname command" >&5 -echo "$as_me: WARNING: can't find uname command" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: can't find uname command" >&5 +$as_echo "$as_me: WARNING: can't find uname command" >&2;} tcl_cv_sys_version=unknown else # Special check for weird MP-RAS system (uname returns weird @@ -18483,58 +10002,52 @@ echo "$as_me: WARNING: can't find uname command" >&2;} fi fi -echo "$as_me:$LINENO: result: $tcl_cv_sys_version" >&5 -echo "${ECHO_T}$tcl_cv_sys_version" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_sys_version" >&5 +$as_echo "$tcl_cv_sys_version" >&6; } system=$tcl_cv_sys_version - echo "$as_me:$LINENO: checking FIONBIO vs. O_NONBLOCK for nonblocking I/O" >&5 -echo $ECHO_N "checking FIONBIO vs. O_NONBLOCK for nonblocking I/O... $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking FIONBIO vs. O_NONBLOCK for nonblocking I/O" >&5 +$as_echo_n "checking FIONBIO vs. O_NONBLOCK for nonblocking I/O... " >&6; } case $system in OSF*) -cat >>confdefs.h <<\_ACEOF -#define USE_FIONBIO 1 -_ACEOF +$as_echo "#define USE_FIONBIO 1" >>confdefs.h - echo "$as_me:$LINENO: result: FIONBIO" >&5 -echo "${ECHO_T}FIONBIO" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: FIONBIO" >&5 +$as_echo "FIONBIO" >&6; } ;; SunOS-4*) -cat >>confdefs.h <<\_ACEOF -#define USE_FIONBIO 1 -_ACEOF +$as_echo "#define USE_FIONBIO 1" >>confdefs.h - echo "$as_me:$LINENO: result: FIONBIO" >&5 -echo "${ECHO_T}FIONBIO" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: FIONBIO" >&5 +$as_echo "FIONBIO" >&6; } ;; *) - echo "$as_me:$LINENO: result: O_NONBLOCK" >&5 -echo "${ECHO_T}O_NONBLOCK" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: O_NONBLOCK" >&5 +$as_echo "O_NONBLOCK" >&6; } ;; esac #------------------------------------------------------------------------ -echo "$as_me:$LINENO: checking whether to use dll unloading" >&5 -echo $ECHO_N "checking whether to use dll unloading... $ECHO_C" >&6 -# Check whether --enable-dll-unloading or --disable-dll-unloading was given. -if test "${enable_dll_unloading+set}" = set; then - enableval="$enable_dll_unloading" - tcl_ok=$enableval +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether to use dll unloading" >&5 +$as_echo_n "checking whether to use dll unloading... " >&6; } +# Check whether --enable-dll-unloading was given. +if test "${enable_dll_unloading+set}" = set; then : + enableval=$enable_dll_unloading; tcl_ok=$enableval else tcl_ok=yes -fi; +fi + if test $tcl_ok = yes; then -cat >>confdefs.h <<\_ACEOF -#define TCL_UNLOAD_DLLS 1 -_ACEOF +$as_echo "#define TCL_UNLOAD_DLLS 1" >>confdefs.h fi -echo "$as_me:$LINENO: result: $tcl_ok" >&5 -echo "${ECHO_T}$tcl_ok" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_ok" >&5 +$as_echo "$tcl_ok" >&6; } #------------------------------------------------------------------------ # Check whether the timezone data is supplied by the OS or has @@ -18542,31 +10055,31 @@ echo "${ECHO_T}$tcl_ok" >&6 # be overriden on the configure command line either way. #------------------------------------------------------------------------ -echo "$as_me:$LINENO: checking for timezone data" >&5 -echo $ECHO_N "checking for timezone data... $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for timezone data" >&5 +$as_echo_n "checking for timezone data... " >&6; } -# Check whether --with-tzdata or --without-tzdata was given. -if test "${with_tzdata+set}" = set; then - withval="$with_tzdata" - tcl_ok=$withval +# Check whether --with-tzdata was given. +if test "${with_tzdata+set}" = set; then : + withval=$with_tzdata; tcl_ok=$withval else tcl_ok=auto -fi; +fi + # # Any directories that get added here must also be added to the # search path in ::tcl::clock::Initialize (library/clock.tcl). # case $tcl_ok in no) - echo "$as_me:$LINENO: result: supplied by OS vendor" >&5 -echo "${ECHO_T}supplied by OS vendor" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: supplied by OS vendor" >&5 +$as_echo "supplied by OS vendor" >&6; } ;; yes) # nothing to do here ;; auto*) - if test "${tcl_cv_dir_zoneinfo+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + if ${tcl_cv_dir_zoneinfo+:} false; then : + $as_echo_n "(cached) " >&6 else for dir in /usr/share/zoneinfo \ @@ -18583,22 +10096,20 @@ fi if test -n "$tcl_cv_dir_zoneinfo"; then tcl_ok=no - echo "$as_me:$LINENO: result: $dir" >&5 -echo "${ECHO_T}$dir" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $dir" >&5 +$as_echo "$dir" >&6; } else tcl_ok=yes fi ;; *) - { { echo "$as_me:$LINENO: error: invalid argument: $tcl_ok" >&5 -echo "$as_me: error: invalid argument: $tcl_ok" >&2;} - { (exit 1); exit 1; }; } + as_fn_error $? "invalid argument: $tcl_ok" "$LINENO" 5 ;; esac if test $tcl_ok = yes then - echo "$as_me:$LINENO: result: supplied by Tcl" >&5 -echo "${ECHO_T}supplied by Tcl" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: supplied by Tcl" >&5 +$as_echo "supplied by Tcl" >&6; } INSTALL_TZDATA=install-tzdata fi @@ -18606,152 +10117,16 @@ fi # DTrace support #-------------------------------------------------------------------- -# Check whether --enable-dtrace or --disable-dtrace was given. -if test "${enable_dtrace+set}" = set; then - enableval="$enable_dtrace" - tcl_ok=$enableval +# Check whether --enable-dtrace was given. +if test "${enable_dtrace+set}" = set; then : + enableval=$enable_dtrace; tcl_ok=$enableval else tcl_ok=no -fi; -if test $tcl_ok = yes; then - if test "${ac_cv_header_sys_sdt_h+set}" = set; then - echo "$as_me:$LINENO: checking for sys/sdt.h" >&5 -echo $ECHO_N "checking for sys/sdt.h... $ECHO_C" >&6 -if test "${ac_cv_header_sys_sdt_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -fi -echo "$as_me:$LINENO: result: $ac_cv_header_sys_sdt_h" >&5 -echo "${ECHO_T}$ac_cv_header_sys_sdt_h" >&6 -else - # Is the header compilable? -echo "$as_me:$LINENO: checking sys/sdt.h usability" >&5 -echo $ECHO_N "checking sys/sdt.h usability... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -#include -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_header_compiler=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_header_compiler=no -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_compiler" >&5 -echo "${ECHO_T}$ac_header_compiler" >&6 - -# Is the header present? -echo "$as_me:$LINENO: checking sys/sdt.h presence" >&5 -echo $ECHO_N "checking sys/sdt.h presence... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include -_ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes -fi -if test -z "$ac_cpp_err"; then - ac_header_preproc=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - - ac_header_preproc=no -fi -rm -f conftest.err conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_preproc" >&5 -echo "${ECHO_T}$ac_header_preproc" >&6 - -# So? What about this header? -case $ac_header_compiler:$ac_header_preproc:$ac_c_preproc_warn_flag in - yes:no: ) - { echo "$as_me:$LINENO: WARNING: sys/sdt.h: accepted by the compiler, rejected by the preprocessor!" >&5 -echo "$as_me: WARNING: sys/sdt.h: accepted by the compiler, rejected by the preprocessor!" >&2;} - { echo "$as_me:$LINENO: WARNING: sys/sdt.h: proceeding with the compiler's result" >&5 -echo "$as_me: WARNING: sys/sdt.h: proceeding with the compiler's result" >&2;} - ac_header_preproc=yes - ;; - no:yes:* ) - { echo "$as_me:$LINENO: WARNING: sys/sdt.h: present but cannot be compiled" >&5 -echo "$as_me: WARNING: sys/sdt.h: present but cannot be compiled" >&2;} - { echo "$as_me:$LINENO: WARNING: sys/sdt.h: check for missing prerequisite headers?" >&5 -echo "$as_me: WARNING: sys/sdt.h: check for missing prerequisite headers?" >&2;} - { echo "$as_me:$LINENO: WARNING: sys/sdt.h: see the Autoconf documentation" >&5 -echo "$as_me: WARNING: sys/sdt.h: see the Autoconf documentation" >&2;} - { echo "$as_me:$LINENO: WARNING: sys/sdt.h: section \"Present But Cannot Be Compiled\"" >&5 -echo "$as_me: WARNING: sys/sdt.h: section \"Present But Cannot Be Compiled\"" >&2;} - { echo "$as_me:$LINENO: WARNING: sys/sdt.h: proceeding with the preprocessor's result" >&5 -echo "$as_me: WARNING: sys/sdt.h: proceeding with the preprocessor's result" >&2;} - { echo "$as_me:$LINENO: WARNING: sys/sdt.h: in the future, the compiler will take precedence" >&5 -echo "$as_me: WARNING: sys/sdt.h: in the future, the compiler will take precedence" >&2;} - ( - cat <<\_ASBOX -## ------------------------------ ## -## Report this to the tcl lists. ## -## ------------------------------ ## -_ASBOX - ) | - sed "s/^/$as_me: WARNING: /" >&2 - ;; -esac -echo "$as_me:$LINENO: checking for sys/sdt.h" >&5 -echo $ECHO_N "checking for sys/sdt.h... $ECHO_C" >&6 -if test "${ac_cv_header_sys_sdt_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - ac_cv_header_sys_sdt_h=$ac_header_preproc fi -echo "$as_me:$LINENO: result: $ac_cv_header_sys_sdt_h" >&5 -echo "${ECHO_T}$ac_cv_header_sys_sdt_h" >&6 -fi -if test $ac_cv_header_sys_sdt_h = yes; then +if test $tcl_ok = yes; then + ac_fn_c_check_header_mongrel "$LINENO" "sys/sdt.h" "ac_cv_header_sys_sdt_h" "$ac_includes_default" +if test "x$ac_cv_header_sys_sdt_h" = xyes; then : tcl_ok=yes else tcl_ok=no @@ -18762,10 +10137,10 @@ fi if test $tcl_ok = yes; then # Extract the first word of "dtrace", so it can be a program name with args. set dummy dtrace; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_path_DTRACE+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_path_DTRACE+:} false; then : + $as_echo_n "(cached) " >&6 else case $DTRACE in [\\/]* | ?:[\\/]*) @@ -18778,38 +10153,37 @@ for as_dir in $as_dummy do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_path_DTRACE="$as_dir/$ac_word$ac_exec_ext" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS ;; esac fi DTRACE=$ac_cv_path_DTRACE - if test -n "$DTRACE"; then - echo "$as_me:$LINENO: result: $DTRACE" >&5 -echo "${ECHO_T}$DTRACE" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $DTRACE" >&5 +$as_echo "$DTRACE" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi + test -z "$ac_cv_path_DTRACE" && tcl_ok=no fi -echo "$as_me:$LINENO: checking whether to enable DTrace support" >&5 -echo $ECHO_N "checking whether to enable DTrace support... $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether to enable DTrace support" >&5 +$as_echo_n "checking whether to enable DTrace support... " >&6; } MAKEFILE_SHELL='/bin/sh' if test $tcl_ok = yes; then -cat >>confdefs.h <<\_ACEOF -#define USE_DTRACE 1 -_ACEOF +$as_echo "#define USE_DTRACE 1" >>confdefs.h DTRACE_SRC="\${DTRACE_SRC}" DTRACE_HDR="\${DTRACE_HDR}" @@ -18827,24 +10201,20 @@ _ACEOF fi fi fi -echo "$as_me:$LINENO: result: $tcl_ok" >&5 -echo "${ECHO_T}$tcl_ok" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_ok" >&5 +$as_echo "$tcl_ok" >&6; } #-------------------------------------------------------------------- # The check below checks whether the cpuid instruction is usable. #-------------------------------------------------------------------- -echo "$as_me:$LINENO: checking whether the cpuid instruction is usable" >&5 -echo $ECHO_N "checking whether the cpuid instruction is usable... $ECHO_C" >&6 -if test "${tcl_cv_cpuid+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether the cpuid instruction is usable" >&5 +$as_echo_n "checking whether the cpuid instruction is usable... " >&6; } +if ${tcl_cv_cpuid+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -18863,45 +10233,19 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : tcl_cv_cpuid=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_cpuid=no + tcl_cv_cpuid=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_cpuid" >&5 -echo "${ECHO_T}$tcl_cv_cpuid" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_cpuid" >&5 +$as_echo "$tcl_cv_cpuid" >&6; } if test $tcl_cv_cpuid = yes; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_CPUID 1 -_ACEOF +$as_echo "#define HAVE_CPUID 1" >>confdefs.h fi @@ -18932,38 +10276,38 @@ HTML_DIR='$(DISTDIR)/html' if test "`uname -s`" = "Darwin" ; then if test "`uname -s`" = "Darwin" ; then - echo "$as_me:$LINENO: checking how to package libraries" >&5 -echo $ECHO_N "checking how to package libraries... $ECHO_C" >&6 - # Check whether --enable-framework or --disable-framework was given. -if test "${enable_framework+set}" = set; then - enableval="$enable_framework" - enable_framework=$enableval + { $as_echo "$as_me:${as_lineno-$LINENO}: checking how to package libraries" >&5 +$as_echo_n "checking how to package libraries... " >&6; } + # Check whether --enable-framework was given. +if test "${enable_framework+set}" = set; then : + enableval=$enable_framework; enable_framework=$enableval else enable_framework=no -fi; +fi + if test $enable_framework = yes; then if test $SHARED_BUILD = 0; then - { echo "$as_me:$LINENO: WARNING: Frameworks can only be built if --enable-shared is yes" >&5 -echo "$as_me: WARNING: Frameworks can only be built if --enable-shared is yes" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: Frameworks can only be built if --enable-shared is yes" >&5 +$as_echo "$as_me: WARNING: Frameworks can only be built if --enable-shared is yes" >&2;} enable_framework=no fi if test $tcl_corefoundation = no; then - { echo "$as_me:$LINENO: WARNING: Frameworks can only be used when CoreFoundation is available" >&5 -echo "$as_me: WARNING: Frameworks can only be used when CoreFoundation is available" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: Frameworks can only be used when CoreFoundation is available" >&5 +$as_echo "$as_me: WARNING: Frameworks can only be used when CoreFoundation is available" >&2;} enable_framework=no fi fi if test $enable_framework = yes; then - echo "$as_me:$LINENO: result: framework" >&5 -echo "${ECHO_T}framework" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: framework" >&5 +$as_echo "framework" >&6; } FRAMEWORK_BUILD=1 else if test $SHARED_BUILD = 1; then - echo "$as_me:$LINENO: result: shared library" >&5 -echo "${ECHO_T}shared library" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: shared library" >&5 +$as_echo "shared library" >&6; } else - echo "$as_me:$LINENO: result: static library" >&5 -echo "${ECHO_T}static library" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: static library" >&5 +$as_echo "static library" >&6; } fi FRAMEWORK_BUILD=0 fi @@ -18975,20 +10319,18 @@ echo "${ECHO_T}static library" >&6 TCL_SHLIB_LD_EXTRAS="${TCL_SHLIB_LD_EXTRAS}"' -sectcreate __TEXT __info_plist Tcl-Info.plist' EXTRA_TCLSH_LIBS='-sectcreate __TEXT __info_plist Tclsh-Info.plist' EXTRA_APP_CC_SWITCHES='-mdynamic-no-pic' - ac_config_files="$ac_config_files Tcl-Info.plist:../macosx/Tcl-Info.plist.in Tclsh-Info.plist:../macosx/Tclsh-Info.plist.in" + ac_config_files="$ac_config_files Tcl-Info.plist:../macosx/Tcl-Info.plist.in Tclsh-Info.plist:../macosx/Tclsh-Info.plist.in" TCL_YEAR="`date +%Y`" fi if test "$FRAMEWORK_BUILD" = "1" ; then -cat >>confdefs.h <<\_ACEOF -#define TCL_FRAMEWORK 1 -_ACEOF +$as_echo "#define TCL_FRAMEWORK 1" >>confdefs.h # Construct a fake local framework structure to make linking with # '-framework Tcl' and running of tcltest work - ac_config_commands="$ac_config_commands Tcl.framework" + ac_config_commands="$ac_config_commands Tcl.framework" LD_LIBRARY_PATH_VAR="DYLD_FRAMEWORK_PATH" # default install directory for bundled packages @@ -19148,7 +10490,7 @@ TCL_SHARED_BUILD=${SHARED_BUILD} - ac_config_files="$ac_config_files Makefile:../unix/Makefile.in dltest/Makefile:../unix/dltest/Makefile.in tclConfig.sh:../unix/tclConfig.sh.in tcl.pc:../unix/tcl.pc.in" +ac_config_files="$ac_config_files Makefile:../unix/Makefile.in dltest/Makefile:../unix/dltest/Makefile.in tclConfig.sh:../unix/tclConfig.sh.in tcl.pc:../unix/tcl.pc.in" cat >confcache <<\_ACEOF # This file is a shell script that caches the results of configure @@ -19168,39 +10510,70 @@ _ACEOF # The following way of writing the cache mishandles newlines in values, # but we know of no workaround that is simple, portable, and efficient. -# So, don't put newlines in cache variables' values. +# So, we kill variables containing newlines. # Ultrix sh set writes to stderr and can't be redirected directly, # and sets the high bit in the cache file unless we assign to the vars. -{ +( + for ac_var in `(set) 2>&1 | sed -n 's/^\([a-zA-Z_][a-zA-Z0-9_]*\)=.*/\1/p'`; do + eval ac_val=\$$ac_var + case $ac_val in #( + *${as_nl}*) + case $ac_var in #( + *_cv_*) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: cache variable $ac_var contains a newline" >&5 +$as_echo "$as_me: WARNING: cache variable $ac_var contains a newline" >&2;} ;; + esac + case $ac_var in #( + _ | IFS | as_nl) ;; #( + BASH_ARGV | BASH_SOURCE) eval $ac_var= ;; #( + *) { eval $ac_var=; unset $ac_var;} ;; + esac ;; + esac + done + (set) 2>&1 | - case `(ac_space=' '; set | grep ac_space) 2>&1` in - *ac_space=\ *) - # `set' does not quote correctly, so add quotes (double-quote - # substitution turns \\\\ into \\, and sed turns \\ into \). + case $as_nl`(ac_space=' '; set) 2>&1` in #( + *${as_nl}ac_space=\ *) + # `set' does not quote correctly, so add quotes: double-quote + # substitution turns \\\\ into \\, and sed turns \\ into \. sed -n \ "s/'/'\\\\''/g; s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1='\\2'/p" - ;; + ;; #( *) # `set' quotes correctly as required by POSIX, so do not add quotes. - sed -n \ - "s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1=\\2/p" + sed -n "/^[_$as_cr_alnum]*_cv_[_$as_cr_alnum]*=/p" ;; - esac; -} | + esac | + sort +) | sed ' + /^ac_cv_env_/b end t clear - : clear + :clear s/^\([^=]*\)=\(.*[{}].*\)$/test "${\1+set}" = set || &/ t end - /^ac_cv_env/!s/^\([^=]*\)=\(.*\)$/\1=${\1=\2}/ - : end' >>confcache -if diff $cache_file confcache >/dev/null 2>&1; then :; else - if test -w $cache_file; then - test "x$cache_file" != "x/dev/null" && echo "updating cache $cache_file" - cat confcache >$cache_file + s/^\([^=]*\)=\(.*\)$/\1=${\1=\2}/ + :end' >>confcache +if diff "$cache_file" confcache >/dev/null 2>&1; then :; else + if test -w "$cache_file"; then + if test "x$cache_file" != "x/dev/null"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: updating cache $cache_file" >&5 +$as_echo "$as_me: updating cache $cache_file" >&6;} + if test ! -f "$cache_file" || test -h "$cache_file"; then + cat confcache >"$cache_file" + else + case $cache_file in #( + */* | ?:*) + mv -f confcache "$cache_file"$$ && + mv -f "$cache_file"$$ "$cache_file" ;; #( + *) + mv -f confcache "$cache_file" ;; + esac + fi + fi else - echo "not updating unwritable cache $cache_file" + { $as_echo "$as_me:${as_lineno-$LINENO}: not updating unwritable cache $cache_file" >&5 +$as_echo "$as_me: not updating unwritable cache $cache_file" >&6;} fi fi rm -f confcache @@ -19209,63 +10582,56 @@ test "x$prefix" = xNONE && prefix=$ac_default_prefix # Let make expand exec_prefix. test "x$exec_prefix" = xNONE && exec_prefix='${prefix}' -# VPATH may cause trouble with some makes, so we remove $(srcdir), -# ${srcdir} and @srcdir@ from VPATH if srcdir is ".", strip leading and -# trailing colons and then remove the whole line if VPATH becomes empty -# (actually we leave an empty line to preserve line numbers). -if test "x$srcdir" = x.; then - ac_vpsub='/^[ ]*VPATH[ ]*=/{ -s/:*\$(srcdir):*/:/; -s/:*\${srcdir}:*/:/; -s/:*@srcdir@:*/:/; -s/^\([^=]*=[ ]*\):*/\1/; -s/:*$//; -s/^[^=]*=[ ]*$//; -}' -fi - # Transform confdefs.h into DEFS. # Protect against shell expansion while executing Makefile rules. # Protect against Makefile macro expansion. # # If the first sed substitution is executed (which looks for macros that -# take arguments), then we branch to the quote section. Otherwise, +# take arguments), then branch to the quote section. Otherwise, # look for a macro that doesn't take arguments. -cat >confdef2opt.sed <<\_ACEOF +ac_script=' +:mline +/\\$/{ + N + s,\\\n,, + b mline +} t clear -: clear -s,^[ ]*#[ ]*define[ ][ ]*\([^ (][^ (]*([^)]*)\)[ ]*\(.*\),-D\1=\2,g +:clear +s/^[ ]*#[ ]*define[ ][ ]*\([^ (][^ (]*([^)]*)\)[ ]*\(.*\)/-D\1=\2/g t quote -s,^[ ]*#[ ]*define[ ][ ]*\([^ ][^ ]*\)[ ]*\(.*\),-D\1=\2,g +s/^[ ]*#[ ]*define[ ][ ]*\([^ ][^ ]*\)[ ]*\(.*\)/-D\1=\2/g t quote -d -: quote -s,[ `~#$^&*(){}\\|;'"<>?],\\&,g -s,\[,\\&,g -s,\],\\&,g -s,\$,$$,g -p -_ACEOF -# We use echo to avoid assuming a particular line-breaking character. -# The extra dot is to prevent the shell from consuming trailing -# line-breaks from the sub-command output. A line-break within -# single-quotes doesn't work because, if this script is created in a -# platform that uses two characters for line-breaks (e.g., DOS), tr -# would break. -ac_LF_and_DOT=`echo; echo .` -DEFS=`sed -n -f confdef2opt.sed confdefs.h | tr "$ac_LF_and_DOT" ' .'` -rm -f confdef2opt.sed +b any +:quote +s/[ `~#$^&*(){}\\|;'\''"<>?]/\\&/g +s/\[/\\&/g +s/\]/\\&/g +s/\$/$$/g +H +:any +${ + g + s/^\n// + s/\n/ /g + p +} +' +DEFS=`sed -n "$ac_script" confdefs.h` CFLAGS="${CFLAGS} ${CPPFLAGS}"; CPPFLAGS="" -: ${CONFIG_STATUS=./config.status} + +: "${CONFIG_STATUS=./config.status}" +ac_write_fail=0 ac_clean_files_save=$ac_clean_files ac_clean_files="$ac_clean_files $CONFIG_STATUS" -{ echo "$as_me:$LINENO: creating $CONFIG_STATUS" >&5 -echo "$as_me: creating $CONFIG_STATUS" >&6;} -cat >$CONFIG_STATUS <<_ACEOF +{ $as_echo "$as_me:${as_lineno-$LINENO}: creating $CONFIG_STATUS" >&5 +$as_echo "$as_me: creating $CONFIG_STATUS" >&6;} +as_write_fail=0 +cat >$CONFIG_STATUS <<_ASEOF || as_write_fail=1 #! $SHELL # Generated by $as_me. # Run this file to recreate the current configuration. @@ -19275,81 +10641,253 @@ cat >$CONFIG_STATUS <<_ACEOF debug=false ac_cs_recheck=false ac_cs_silent=false -SHELL=\${CONFIG_SHELL-$SHELL} -_ACEOF - -cat >>$CONFIG_STATUS <<\_ACEOF -## --------------------- ## -## M4sh Initialization. ## -## --------------------- ## -# Be Bourne compatible -if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then +SHELL=\${CONFIG_SHELL-$SHELL} +export SHELL +_ASEOF +cat >>$CONFIG_STATUS <<\_ASEOF || as_write_fail=1 +## -------------------- ## +## M4sh Initialization. ## +## -------------------- ## + +# Be more Bourne compatible +DUALCASE=1; export DUALCASE # for MKS sh +if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then : emulate sh NULLCMD=: - # Zsh 3.x and 4.x performs word splitting on ${1+"$@"}, which + # Pre-4.2 versions of Zsh do word splitting on ${1+"$@"}, which # is contrary to our usage. Disable this feature. alias -g '${1+"$@"}'='"$@"' -elif test -n "${BASH_VERSION+set}" && (set -o posix) >/dev/null 2>&1; then - set -o posix + setopt NO_GLOB_SUBST +else + case `(set -o) 2>/dev/null` in #( + *posix*) : + set -o posix ;; #( + *) : + ;; +esac fi -DUALCASE=1; export DUALCASE # for MKS sh -# Support unset when possible. -if ( (MAIL=60; unset MAIL) || exit) >/dev/null 2>&1; then - as_unset=unset -else - as_unset=false + +as_nl=' +' +export as_nl +# Printing a long string crashes Solaris 7 /usr/bin/printf. +as_echo='\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\' +as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo +as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo$as_echo +# Prefer a ksh shell builtin over an external printf program on Solaris, +# but without wasting forks for bash or zsh. +if test -z "$BASH_VERSION$ZSH_VERSION" \ + && (test "X`print -r -- $as_echo`" = "X$as_echo") 2>/dev/null; then + as_echo='print -r --' + as_echo_n='print -rn --' +elif (test "X`printf %s $as_echo`" = "X$as_echo") 2>/dev/null; then + as_echo='printf %s\n' + as_echo_n='printf %s' +else + if test "X`(/usr/ucb/echo -n -n $as_echo) 2>/dev/null`" = "X-n $as_echo"; then + as_echo_body='eval /usr/ucb/echo -n "$1$as_nl"' + as_echo_n='/usr/ucb/echo -n' + else + as_echo_body='eval expr "X$1" : "X\\(.*\\)"' + as_echo_n_body='eval + arg=$1; + case $arg in #( + *"$as_nl"*) + expr "X$arg" : "X\\(.*\\)$as_nl"; + arg=`expr "X$arg" : ".*$as_nl\\(.*\\)"`;; + esac; + expr "X$arg" : "X\\(.*\\)" | tr -d "$as_nl" + ' + export as_echo_n_body + as_echo_n='sh -c $as_echo_n_body as_echo' + fi + export as_echo_body + as_echo='sh -c $as_echo_body as_echo' +fi + +# The user is always right. +if test "${PATH_SEPARATOR+set}" != set; then + PATH_SEPARATOR=: + (PATH='/bin;/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 && { + (PATH='/bin:/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 || + PATH_SEPARATOR=';' + } fi -# Work around bugs in pre-3.0 UWIN ksh. -$as_unset ENV MAIL MAILPATH +# IFS +# We need space, tab and new line, in precisely that order. Quoting is +# there to prevent editors from complaining about space-tab. +# (If _AS_PATH_WALK were called with IFS unset, it would disable word +# splitting by setting IFS to empty value.) +IFS=" "" $as_nl" + +# Find who we are. Look in the path if we contain no directory separator. +as_myself= +case $0 in #(( + *[\\/]* ) as_myself=$0 ;; + *) as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + test -r "$as_dir/$0" && as_myself=$as_dir/$0 && break + done +IFS=$as_save_IFS + + ;; +esac +# We did not find ourselves, most probably we were run as `sh COMMAND' +# in which case we are not to be found in the path. +if test "x$as_myself" = x; then + as_myself=$0 +fi +if test ! -f "$as_myself"; then + $as_echo "$as_myself: error: cannot find myself; rerun with an absolute file name" >&2 + exit 1 +fi + +# Unset variables that we do not need and which cause bugs (e.g. in +# pre-3.0 UWIN ksh). But do not cause bugs in bash 2.01; the "|| exit 1" +# suppresses any "Segmentation fault" message there. '((' could +# trigger a bug in pdksh 5.2.14. +for as_var in BASH_ENV ENV MAIL MAILPATH +do eval test x\${$as_var+set} = xset \ + && ( (unset $as_var) || exit 1) >/dev/null 2>&1 && unset $as_var || : +done PS1='$ ' PS2='> ' PS4='+ ' # NLS nuisances. -for as_var in \ - LANG LANGUAGE LC_ADDRESS LC_ALL LC_COLLATE LC_CTYPE LC_IDENTIFICATION \ - LC_MEASUREMENT LC_MESSAGES LC_MONETARY LC_NAME LC_NUMERIC LC_PAPER \ - LC_TELEPHONE LC_TIME -do - if (set +x; test -z "`(eval $as_var=C; export $as_var) 2>&1`"); then - eval $as_var=C; export $as_var - else - $as_unset $as_var +LC_ALL=C +export LC_ALL +LANGUAGE=C +export LANGUAGE + +# CDPATH. +(unset CDPATH) >/dev/null 2>&1 && unset CDPATH + + +# as_fn_error STATUS ERROR [LINENO LOG_FD] +# ---------------------------------------- +# Output "`basename $0`: error: ERROR" to stderr. If LINENO and LOG_FD are +# provided, also output the error to LOG_FD, referencing LINENO. Then exit the +# script with STATUS, using 1 if that was 0. +as_fn_error () +{ + as_status=$1; test $as_status -eq 0 && as_status=1 + if test "$4"; then + as_lineno=${as_lineno-"$3"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + $as_echo "$as_me:${as_lineno-$LINENO}: error: $2" >&$4 fi -done + $as_echo "$as_me: error: $2" >&2 + as_fn_exit $as_status +} # as_fn_error + + +# as_fn_set_status STATUS +# ----------------------- +# Set $? to STATUS, without forking. +as_fn_set_status () +{ + return $1 +} # as_fn_set_status + +# as_fn_exit STATUS +# ----------------- +# Exit the shell with STATUS, even in a "trap 0" or "set -e" context. +as_fn_exit () +{ + set +e + as_fn_set_status $1 + exit $1 +} # as_fn_exit + +# as_fn_unset VAR +# --------------- +# Portably unset VAR. +as_fn_unset () +{ + { eval $1=; unset $1;} +} +as_unset=as_fn_unset +# as_fn_append VAR VALUE +# ---------------------- +# Append the text in VALUE to the end of the definition contained in VAR. Take +# advantage of any shell optimizations that allow amortized linear growth over +# repeated appends, instead of the typical quadratic growth present in naive +# implementations. +if (eval "as_var=1; as_var+=2; test x\$as_var = x12") 2>/dev/null; then : + eval 'as_fn_append () + { + eval $1+=\$2 + }' +else + as_fn_append () + { + eval $1=\$$1\$2 + } +fi # as_fn_append + +# as_fn_arith ARG... +# ------------------ +# Perform arithmetic evaluation on the ARGs, and store the result in the +# global $as_val. Take advantage of shells that can avoid forks. The arguments +# must be portable across $(()) and expr. +if (eval "test \$(( 1 + 1 )) = 2") 2>/dev/null; then : + eval 'as_fn_arith () + { + as_val=$(( $* )) + }' +else + as_fn_arith () + { + as_val=`expr "$@" || test $? -eq 1` + } +fi # as_fn_arith + -# Required to use basename. -if expr a : '\(a\)' >/dev/null 2>&1; then +if expr a : '\(a\)' >/dev/null 2>&1 && + test "X`expr 00001 : '.*\(...\)'`" = X001; then as_expr=expr else as_expr=false fi -if (basename /) >/dev/null 2>&1 && test "X`basename / 2>&1`" = "X/"; then +if (basename -- /) >/dev/null 2>&1 && test "X`basename -- / 2>&1`" = "X/"; then as_basename=basename else as_basename=false fi +if (as_dir=`dirname -- /` && test "X$as_dir" = X/) >/dev/null 2>&1; then + as_dirname=dirname +else + as_dirname=false +fi -# Name of the executable. -as_me=`$as_basename "$0" || +as_me=`$as_basename -- "$0" || $as_expr X/"$0" : '.*/\([^/][^/]*\)/*$' \| \ X"$0" : 'X\(//\)$' \| \ - X"$0" : 'X\(/\)$' \| \ - . : '\(.\)' 2>/dev/null || -echo X/"$0" | - sed '/^.*\/\([^/][^/]*\)\/*$/{ s//\1/; q; } - /^X\/\(\/\/\)$/{ s//\1/; q; } - /^X\/\(\/\).*/{ s//\1/; q; } - s/.*/./; q'` + X"$0" : 'X\(/\)' \| . 2>/dev/null || +$as_echo X/"$0" | + sed '/^.*\/\([^/][^/]*\)\/*$/{ + s//\1/ + q + } + /^X\/\(\/\/\)$/{ + s//\1/ + q + } + /^X\/\(\/\).*/{ + s//\1/ + q + } + s/.*/./; q'` - -# PATH needs CR, and LINENO needs CR and PATH. # Avoid depending upon Character Ranges. as_cr_letters='abcdefghijklmnopqrstuvwxyz' as_cr_LETTERS='ABCDEFGHIJKLMNOPQRSTUVWXYZ' @@ -19357,148 +10895,111 @@ as_cr_Letters=$as_cr_letters$as_cr_LETTERS as_cr_digits='0123456789' as_cr_alnum=$as_cr_Letters$as_cr_digits -# The user is always right. -if test "${PATH_SEPARATOR+set}" != set; then - echo "#! /bin/sh" >conf$$.sh - echo "exit 0" >>conf$$.sh - chmod +x conf$$.sh - if (PATH="/nonexistent;."; conf$$.sh) >/dev/null 2>&1; then - PATH_SEPARATOR=';' - else - PATH_SEPARATOR=: - fi - rm -f conf$$.sh -fi - - - as_lineno_1=$LINENO - as_lineno_2=$LINENO - as_lineno_3=`(expr $as_lineno_1 + 1) 2>/dev/null` - test "x$as_lineno_1" != "x$as_lineno_2" && - test "x$as_lineno_3" = "x$as_lineno_2" || { - # Find who we are. Look in the path if we contain no path at all - # relative or not. - case $0 in - *[\\/]* ) as_myself=$0 ;; - *) as_save_IFS=$IFS; IFS=$PATH_SEPARATOR -for as_dir in $PATH -do - IFS=$as_save_IFS - test -z "$as_dir" && as_dir=. - test -r "$as_dir/$0" && as_myself=$as_dir/$0 && break -done - - ;; - esac - # We did not find ourselves, most probably we were run as `sh COMMAND' - # in which case we are not to be found in the path. - if test "x$as_myself" = x; then - as_myself=$0 - fi - if test ! -f "$as_myself"; then - { { echo "$as_me:$LINENO: error: cannot find myself; rerun with an absolute path" >&5 -echo "$as_me: error: cannot find myself; rerun with an absolute path" >&2;} - { (exit 1); exit 1; }; } - fi - case $CONFIG_SHELL in - '') - as_save_IFS=$IFS; IFS=$PATH_SEPARATOR -for as_dir in /bin$PATH_SEPARATOR/usr/bin$PATH_SEPARATOR$PATH -do - IFS=$as_save_IFS - test -z "$as_dir" && as_dir=. - for as_base in sh bash ksh sh5; do - case $as_dir in - /*) - if ("$as_dir/$as_base" -c ' - as_lineno_1=$LINENO - as_lineno_2=$LINENO - as_lineno_3=`(expr $as_lineno_1 + 1) 2>/dev/null` - test "x$as_lineno_1" != "x$as_lineno_2" && - test "x$as_lineno_3" = "x$as_lineno_2" ') 2>/dev/null; then - $as_unset BASH_ENV || test "${BASH_ENV+set}" != set || { BASH_ENV=; export BASH_ENV; } - $as_unset ENV || test "${ENV+set}" != set || { ENV=; export ENV; } - CONFIG_SHELL=$as_dir/$as_base - export CONFIG_SHELL - exec "$CONFIG_SHELL" "$0" ${1+"$@"} - fi;; - esac - done -done -;; - esac - - # Create $as_me.lineno as a copy of $as_myself, but with $LINENO - # uniformly replaced by the line number. The first 'sed' inserts a - # line-number line before each line; the second 'sed' does the real - # work. The second script uses 'N' to pair each line-number line - # with the numbered line, and appends trailing '-' during - # substitution so that $LINENO is not a special case at line end. - # (Raja R Harinath suggested sed '=', and Paul Eggert wrote the - # second 'sed' script. Blame Lee E. McMahon for sed's syntax. :-) - sed '=' <$as_myself | - sed ' - N - s,$,-, - : loop - s,^\(['$as_cr_digits']*\)\(.*\)[$]LINENO\([^'$as_cr_alnum'_]\),\1\2\1\3, - t loop - s,-$,, - s,^['$as_cr_digits']*\n,, - ' >$as_me.lineno && - chmod +x $as_me.lineno || - { { echo "$as_me:$LINENO: error: cannot create $as_me.lineno; rerun with a POSIX shell" >&5 -echo "$as_me: error: cannot create $as_me.lineno; rerun with a POSIX shell" >&2;} - { (exit 1); exit 1; }; } - - # Don't try to exec as it changes $[0], causing all sort of problems - # (the dirname of $[0] is not the place where we might find the - # original and so on. Autoconf is especially sensible to this). - . ./$as_me.lineno - # Exit status is that of the last command. - exit -} - - -case `echo "testing\c"; echo 1,2,3`,`echo -n testing; echo 1,2,3` in - *c*,-n*) ECHO_N= ECHO_C=' -' ECHO_T=' ' ;; - *c*,* ) ECHO_N=-n ECHO_C= ECHO_T= ;; - *) ECHO_N= ECHO_C='\c' ECHO_T= ;; +ECHO_C= ECHO_N= ECHO_T= +case `echo -n x` in #((((( +-n*) + case `echo 'xy\c'` in + *c*) ECHO_T=' ';; # ECHO_T is single tab character. + xy) ECHO_C='\c';; + *) echo `echo ksh88 bug on AIX 6.1` > /dev/null + ECHO_T=' ';; + esac;; +*) + ECHO_N='-n';; esac -if expr a : '\(a\)' >/dev/null 2>&1; then - as_expr=expr +rm -f conf$$ conf$$.exe conf$$.file +if test -d conf$$.dir; then + rm -f conf$$.dir/conf$$.file else - as_expr=false + rm -f conf$$.dir + mkdir conf$$.dir 2>/dev/null fi - -rm -f conf$$ conf$$.exe conf$$.file -echo >conf$$.file -if ln -s conf$$.file conf$$ 2>/dev/null; then - # We could just check for DJGPP; but this test a) works b) is more generic - # and c) will remain valid once DJGPP supports symlinks (DJGPP 2.04). - if test -f conf$$.exe; then - # Don't use ln at all; we don't have any links - as_ln_s='cp -p' - else +if (echo >conf$$.file) 2>/dev/null; then + if ln -s conf$$.file conf$$ 2>/dev/null; then as_ln_s='ln -s' + # ... but there are two gotchas: + # 1) On MSYS, both `ln -s file dir' and `ln file dir' fail. + # 2) DJGPP < 2.04 has no symlinks; `ln -s' creates a wrapper executable. + # In both cases, we have to default to `cp -pR'. + ln -s conf$$.file conf$$.dir 2>/dev/null && test ! -f conf$$.exe || + as_ln_s='cp -pR' + elif ln conf$$.file conf$$ 2>/dev/null; then + as_ln_s=ln + else + as_ln_s='cp -pR' fi -elif ln conf$$.file conf$$ 2>/dev/null; then - as_ln_s=ln else - as_ln_s='cp -p' + as_ln_s='cp -pR' fi -rm -f conf$$ conf$$.exe conf$$.file +rm -f conf$$ conf$$.exe conf$$.dir/conf$$.file conf$$.file +rmdir conf$$.dir 2>/dev/null + + +# as_fn_mkdir_p +# ------------- +# Create "$as_dir" as a directory, including parents if necessary. +as_fn_mkdir_p () +{ + + case $as_dir in #( + -*) as_dir=./$as_dir;; + esac + test -d "$as_dir" || eval $as_mkdir_p || { + as_dirs= + while :; do + case $as_dir in #( + *\'*) as_qdir=`$as_echo "$as_dir" | sed "s/'/'\\\\\\\\''/g"`;; #'( + *) as_qdir=$as_dir;; + esac + as_dirs="'$as_qdir' $as_dirs" + as_dir=`$as_dirname -- "$as_dir" || +$as_expr X"$as_dir" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \ + X"$as_dir" : 'X\(//\)[^/]' \| \ + X"$as_dir" : 'X\(//\)$' \| \ + X"$as_dir" : 'X\(/\)' \| . 2>/dev/null || +$as_echo X"$as_dir" | + sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{ + s//\1/ + q + } + /^X\(\/\/\)[^/].*/{ + s//\1/ + q + } + /^X\(\/\/\)$/{ + s//\1/ + q + } + /^X\(\/\).*/{ + s//\1/ + q + } + s/.*/./; q'` + test -d "$as_dir" && break + done + test -z "$as_dirs" || eval "mkdir $as_dirs" + } || test -d "$as_dir" || as_fn_error $? "cannot create directory $as_dir" + +} # as_fn_mkdir_p if mkdir -p . 2>/dev/null; then - as_mkdir_p=: + as_mkdir_p='mkdir -p "$as_dir"' else test -d ./-p && rmdir ./-p as_mkdir_p=false fi -as_executable_p="test -f" + +# as_fn_executable_p FILE +# ----------------------- +# Test if FILE is an executable regular file. +as_fn_executable_p () +{ + test -f "$1" && test -x "$1" +} # as_fn_executable_p +as_test_x='test -x' +as_executable_p=as_fn_executable_p # Sed expression to map a string onto a valid CPP name. as_tr_cpp="eval sed 'y%*$as_cr_letters%P$as_cr_LETTERS%;s%[^_$as_cr_alnum]%_%g'" @@ -19507,31 +11008,20 @@ as_tr_cpp="eval sed 'y%*$as_cr_letters%P$as_cr_LETTERS%;s%[^_$as_cr_alnum]%_%g'" as_tr_sh="eval sed 'y%*+%pp%;s%[^_$as_cr_alnum]%_%g'" -# IFS -# We need space, tab and new line, in precisely that order. -as_nl=' -' -IFS=" $as_nl" - -# CDPATH. -$as_unset CDPATH - exec 6>&1 - -# Open the log real soon, to keep \$[0] and so on meaningful, and to +## ----------------------------------- ## +## Main body of $CONFIG_STATUS script. ## +## ----------------------------------- ## +_ASEOF +test $as_write_fail = 0 && chmod +x $CONFIG_STATUS || ac_write_fail=1 + +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +# Save the log message, to keep $0 and so on meaningful, and to # report actual input values of CONFIG_FILES etc. instead of their -# values after options handling. Logging --version etc. is OK. -exec 5>>config.log -{ - echo - sed 'h;s/./-/g;s/^.../## /;s/...$/ ##/;p;x;p;x' <<_ASBOX -## Running $as_me. ## -_ASBOX -} >&5 -cat >&5 <<_CSEOF - -This file was extended by tcl $as_me 8.6, which was -generated by GNU Autoconf 2.59. Invocation command line was +# values after options handling. +ac_log=" +This file was extended by tcl $as_me 8.7, which was +generated by GNU Autoconf 2.69. Invocation command line was CONFIG_FILES = $CONFIG_FILES CONFIG_HEADERS = $CONFIG_HEADERS @@ -19539,43 +11029,41 @@ generated by GNU Autoconf 2.59. Invocation command line was CONFIG_COMMANDS = $CONFIG_COMMANDS $ $0 $@ -_CSEOF -echo "on `(hostname || uname -n) 2>/dev/null | sed 1q`" >&5 -echo >&5 +on `(hostname || uname -n) 2>/dev/null | sed 1q` +" + _ACEOF -# Files that config.status was made for. -if test -n "$ac_config_files"; then - echo "config_files=\"$ac_config_files\"" >>$CONFIG_STATUS -fi +case $ac_config_files in *" +"*) set x $ac_config_files; shift; ac_config_files=$*;; +esac -if test -n "$ac_config_headers"; then - echo "config_headers=\"$ac_config_headers\"" >>$CONFIG_STATUS -fi -if test -n "$ac_config_links"; then - echo "config_links=\"$ac_config_links\"" >>$CONFIG_STATUS -fi -if test -n "$ac_config_commands"; then - echo "config_commands=\"$ac_config_commands\"" >>$CONFIG_STATUS -fi +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 +# Files that config.status was made for. +config_files="$ac_config_files" +config_commands="$ac_config_commands" -cat >>$CONFIG_STATUS <<\_ACEOF +_ACEOF +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 ac_cs_usage="\ -\`$as_me' instantiates files from templates according to the -current configuration. +\`$as_me' instantiates files and other configuration actions +from templates according to the current configuration. Unless the files +and actions are specified as TAGs, all are instantiated by default. -Usage: $0 [OPTIONS] [FILE]... +Usage: $0 [OPTION]... [TAG]... -h, --help print this help, then exit - -V, --version print version number, then exit - -q, --quiet do not print progress messages + -V, --version print version number and configuration settings, then exit + --config print configuration, then exit + -q, --quiet, --silent + do not print progress messages -d, --debug don't remove temporary files --recheck update $as_me by reconfiguring in the same conditions - --file=FILE[:TEMPLATE] - instantiate the configuration file FILE + --file=FILE[:TEMPLATE] + instantiate the configuration file FILE Configuration files: $config_files @@ -19583,83 +11071,78 @@ $config_files Configuration commands: $config_commands -Report bugs to ." -_ACEOF +Report bugs to the package provider." -cat >>$CONFIG_STATUS <<_ACEOF +_ACEOF +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 +ac_cs_config="`$as_echo "$ac_configure_args" | sed 's/^ //; s/[\\""\`\$]/\\\\&/g'`" ac_cs_version="\\ -tcl config.status 8.6 -configured by $0, generated by GNU Autoconf 2.59, - with options \\"`echo "$ac_configure_args" | sed 's/[\\""\`\$]/\\\\&/g'`\\" +tcl config.status 8.7 +configured by $0, generated by GNU Autoconf 2.69, + with options \\"\$ac_cs_config\\" -Copyright (C) 2003 Free Software Foundation, Inc. +Copyright (C) 2012 Free Software Foundation, Inc. This config.status script is free software; the Free Software Foundation gives unlimited permission to copy, distribute and modify it." -srcdir=$srcdir + +ac_pwd='$ac_pwd' +srcdir='$srcdir' +test -n "\$AWK" || AWK=awk _ACEOF -cat >>$CONFIG_STATUS <<\_ACEOF -# If no file are specified by the user, then we need to provide default -# value. By we need to know if files were specified by the user. +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +# The default lists apply if the user does not specify any file. ac_need_defaults=: while test $# != 0 do case $1 in - --*=*) - ac_option=`expr "x$1" : 'x\([^=]*\)='` - ac_optarg=`expr "x$1" : 'x[^=]*=\(.*\)'` + --*=?*) + ac_option=`expr "X$1" : 'X\([^=]*\)='` + ac_optarg=`expr "X$1" : 'X[^=]*=\(.*\)'` + ac_shift=: + ;; + --*=) + ac_option=`expr "X$1" : 'X\([^=]*\)='` + ac_optarg= ac_shift=: ;; - -*) + *) ac_option=$1 ac_optarg=$2 ac_shift=shift ;; - *) # This is not an option, so the user has probably given explicit - # arguments. - ac_option=$1 - ac_need_defaults=false;; esac case $ac_option in # Handling of the options. -_ACEOF -cat >>$CONFIG_STATUS <<\_ACEOF -recheck | --recheck | --rechec | --reche | --rech | --rec | --re | --r) ac_cs_recheck=: ;; - --version | --vers* | -V ) - echo "$ac_cs_version"; exit 0 ;; - --he | --h) - # Conflict between --help and --header - { { echo "$as_me:$LINENO: error: ambiguous option: $1 -Try \`$0 --help' for more information." >&5 -echo "$as_me: error: ambiguous option: $1 -Try \`$0 --help' for more information." >&2;} - { (exit 1); exit 1; }; };; - --help | --hel | -h ) - echo "$ac_cs_usage"; exit 0 ;; - --debug | --d* | -d ) + --version | --versio | --versi | --vers | --ver | --ve | --v | -V ) + $as_echo "$ac_cs_version"; exit ;; + --config | --confi | --conf | --con | --co | --c ) + $as_echo "$ac_cs_config"; exit ;; + --debug | --debu | --deb | --de | --d | -d ) debug=: ;; --file | --fil | --fi | --f ) $ac_shift - CONFIG_FILES="$CONFIG_FILES $ac_optarg" - ac_need_defaults=false;; - --header | --heade | --head | --hea ) - $ac_shift - CONFIG_HEADERS="$CONFIG_HEADERS $ac_optarg" + case $ac_optarg in + *\'*) ac_optarg=`$as_echo "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"` ;; + '') as_fn_error $? "missing file argument" ;; + esac + as_fn_append CONFIG_FILES " '$ac_optarg'" ac_need_defaults=false;; + --he | --h | --help | --hel | -h ) + $as_echo "$ac_cs_usage"; exit ;; -q | -quiet | --quiet | --quie | --qui | --qu | --q \ | -silent | --silent | --silen | --sile | --sil | --si | --s) ac_cs_silent=: ;; # This is an error. - -*) { { echo "$as_me:$LINENO: error: unrecognized option: $1 -Try \`$0 --help' for more information." >&5 -echo "$as_me: error: unrecognized option: $1 -Try \`$0 --help' for more information." >&2;} - { (exit 1); exit 1; }; } ;; + -*) as_fn_error $? "unrecognized option: \`$1' +Try \`$0 --help' for more information." ;; - *) ac_config_targets="$ac_config_targets $1" ;; + *) as_fn_append ac_config_targets " $1" + ac_need_defaults=false ;; esac shift @@ -19673,43 +11156,55 @@ if $ac_cs_silent; then fi _ACEOF -cat >>$CONFIG_STATUS <<_ACEOF +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 if \$ac_cs_recheck; then - echo "running $SHELL $0 " $ac_configure_args \$ac_configure_extra_args " --no-create --no-recursion" >&6 - exec $SHELL $0 $ac_configure_args \$ac_configure_extra_args --no-create --no-recursion + set X $SHELL '$0' $ac_configure_args \$ac_configure_extra_args --no-create --no-recursion + shift + \$as_echo "running CONFIG_SHELL=$SHELL \$*" >&6 + CONFIG_SHELL='$SHELL' + export CONFIG_SHELL + exec "\$@" fi _ACEOF +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +exec 5>>config.log +{ + echo + sed 'h;s/./-/g;s/^.../## /;s/...$/ ##/;p;x;p;x' <<_ASBOX +## Running $as_me. ## +_ASBOX + $as_echo "$ac_log" +} >&5 -cat >>$CONFIG_STATUS <<_ACEOF +_ACEOF +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 # -# INIT-COMMANDS section. +# INIT-COMMANDS # - VERSION=${TCL_VERSION} _ACEOF +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 - -cat >>$CONFIG_STATUS <<\_ACEOF +# Handling of arguments. for ac_config_target in $ac_config_targets do - case "$ac_config_target" in - # Handling of arguments. - "Tcl-Info.plist" ) CONFIG_FILES="$CONFIG_FILES Tcl-Info.plist:../macosx/Tcl-Info.plist.in" ;; - "Tclsh-Info.plist" ) CONFIG_FILES="$CONFIG_FILES Tclsh-Info.plist:../macosx/Tclsh-Info.plist.in" ;; - "Makefile" ) CONFIG_FILES="$CONFIG_FILES Makefile:../unix/Makefile.in" ;; - "dltest/Makefile" ) CONFIG_FILES="$CONFIG_FILES dltest/Makefile:../unix/dltest/Makefile.in" ;; - "tclConfig.sh" ) CONFIG_FILES="$CONFIG_FILES tclConfig.sh:../unix/tclConfig.sh.in" ;; - "tcl.pc" ) CONFIG_FILES="$CONFIG_FILES tcl.pc:../unix/tcl.pc.in" ;; - "Tcl.framework" ) CONFIG_COMMANDS="$CONFIG_COMMANDS Tcl.framework" ;; - *) { { echo "$as_me:$LINENO: error: invalid argument: $ac_config_target" >&5 -echo "$as_me: error: invalid argument: $ac_config_target" >&2;} - { (exit 1); exit 1; }; };; + case $ac_config_target in + "Tcl-Info.plist") CONFIG_FILES="$CONFIG_FILES Tcl-Info.plist:../macosx/Tcl-Info.plist.in" ;; + "Tclsh-Info.plist") CONFIG_FILES="$CONFIG_FILES Tclsh-Info.plist:../macosx/Tclsh-Info.plist.in" ;; + "Tcl.framework") CONFIG_COMMANDS="$CONFIG_COMMANDS Tcl.framework" ;; + "Makefile") CONFIG_FILES="$CONFIG_FILES Makefile:../unix/Makefile.in" ;; + "dltest/Makefile") CONFIG_FILES="$CONFIG_FILES dltest/Makefile:../unix/dltest/Makefile.in" ;; + "tclConfig.sh") CONFIG_FILES="$CONFIG_FILES tclConfig.sh:../unix/tclConfig.sh.in" ;; + "tcl.pc") CONFIG_FILES="$CONFIG_FILES tcl.pc:../unix/tcl.pc.in" ;; + + *) as_fn_error $? "invalid argument: \`$ac_config_target'" "$LINENO" 5;; esac done + # If the user did not use the arguments to specify the items to instantiate, # then the envvar interface is used. Set only those that are not. # We use the long form for the default assignment because of an extremely @@ -19720,533 +11215,427 @@ if $ac_need_defaults; then fi # Have a temporary directory for convenience. Make it in the build tree -# simply because there is no reason to put it here, and in addition, +# simply because there is no reason against having it here, and in addition, # creating and moving files from /tmp can sometimes cause problems. -# Create a temporary directory, and hook for its removal unless debugging. +# Hook for its removal unless debugging. +# Note that there is a small window in which the directory will not be cleaned: +# after its creation but before its name has been assigned to `$tmp'. $debug || { - trap 'exit_status=$?; rm -rf $tmp && exit $exit_status' 0 - trap '{ (exit 1); exit 1; }' 1 2 13 15 + tmp= ac_tmp= + trap 'exit_status=$? + : "${ac_tmp:=$tmp}" + { test ! -d "$ac_tmp" || rm -fr "$ac_tmp"; } && exit $exit_status +' 0 + trap 'as_fn_exit 1' 1 2 13 15 } - # Create a (secure) tmp directory for tmp files. { - tmp=`(umask 077 && mktemp -d -q "./confstatXXXXXX") 2>/dev/null` && - test -n "$tmp" && test -d "$tmp" + tmp=`(umask 077 && mktemp -d "./confXXXXXX") 2>/dev/null` && + test -d "$tmp" } || { - tmp=./confstat$$-$RANDOM - (umask 077 && mkdir $tmp) -} || + tmp=./conf$$-$RANDOM + (umask 077 && mkdir "$tmp") +} || as_fn_error $? "cannot create a temporary directory in ." "$LINENO" 5 +ac_tmp=$tmp + +# Set up the scripts for CONFIG_FILES section. +# No need to generate them if there are no CONFIG_FILES. +# This happens for instance with `./config.status config.h'. +if test -n "$CONFIG_FILES"; then + + +ac_cr=`echo X | tr X '\015'` +# On cygwin, bash can eat \r inside `` if the user requested igncr. +# But we know of no other shell where ac_cr would be empty at this +# point, so we can use a bashism as a fallback. +if test "x$ac_cr" = x; then + eval ac_cr=\$\'\\r\' +fi +ac_cs_awk_cr=`$AWK 'BEGIN { print "a\rb" }' /dev/null` +if test "$ac_cs_awk_cr" = "a${ac_cr}b"; then + ac_cs_awk_cr='\\r' +else + ac_cs_awk_cr=$ac_cr +fi + +echo 'BEGIN {' >"$ac_tmp/subs1.awk" && +_ACEOF + + { - echo "$me: cannot create a temporary directory in ." >&2 - { (exit 1); exit 1; } + echo "cat >conf$$subs.awk <<_ACEOF" && + echo "$ac_subst_vars" | sed 's/.*/&!$&$ac_delim/' && + echo "_ACEOF" +} >conf$$subs.sh || + as_fn_error $? "could not make $CONFIG_STATUS" "$LINENO" 5 +ac_delim_num=`echo "$ac_subst_vars" | grep -c '^'` +ac_delim='%!_!# ' +for ac_last_try in false false false false false :; do + . ./conf$$subs.sh || + as_fn_error $? "could not make $CONFIG_STATUS" "$LINENO" 5 + + ac_delim_n=`sed -n "s/.*$ac_delim\$/X/p" conf$$subs.awk | grep -c X` + if test $ac_delim_n = $ac_delim_num; then + break + elif $ac_last_try; then + as_fn_error $? "could not make $CONFIG_STATUS" "$LINENO" 5 + else + ac_delim="$ac_delim!$ac_delim _$ac_delim!! " + fi +done +rm -f conf$$subs.sh + +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 +cat >>"\$ac_tmp/subs1.awk" <<\\_ACAWK && +_ACEOF +sed -n ' +h +s/^/S["/; s/!.*/"]=/ +p +g +s/^[^!]*!// +:repl +t repl +s/'"$ac_delim"'$// +t delim +:nl +h +s/\(.\{148\}\)..*/\1/ +t more1 +s/["\\]/\\&/g; s/^/"/; s/$/\\n"\\/ +p +n +b repl +:more1 +s/["\\]/\\&/g; s/^/"/; s/$/"\\/ +p +g +s/.\{148\}// +t nl +:delim +h +s/\(.\{148\}\)..*/\1/ +t more2 +s/["\\]/\\&/g; s/^/"/; s/$/"/ +p +b +:more2 +s/["\\]/\\&/g; s/^/"/; s/$/"\\/ +p +g +s/.\{148\}// +t delim +' >$CONFIG_STATUS || ac_write_fail=1 +rm -f conf$$subs.awk +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 +_ACAWK +cat >>"\$ac_tmp/subs1.awk" <<_ACAWK && + for (key in S) S_is_set[key] = 1 + FS = "" + +} +{ + line = $ 0 + nfields = split(line, field, "@") + substed = 0 + len = length(field[1]) + for (i = 2; i < nfields; i++) { + key = field[i] + keylen = length(key) + if (S_is_set[key]) { + value = S[key] + line = substr(line, 1, len) "" value "" substr(line, len + keylen + 3) + len += length(value) + length(field[++i]) + substed = 1 + } else + len += 1 + keylen + } + + print line } +_ACAWK +_ACEOF +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +if sed "s/$ac_cr//" < /dev/null > /dev/null 2>&1; then + sed "s/$ac_cr\$//; s/$ac_cr/$ac_cs_awk_cr/g" +else + cat +fi < "$ac_tmp/subs1.awk" > "$ac_tmp/subs.awk" \ + || as_fn_error $? "could not setup config files machinery" "$LINENO" 5 _ACEOF -cat >>$CONFIG_STATUS <<_ACEOF +# VPATH may cause trouble with some makes, so we remove sole $(srcdir), +# ${srcdir} and @srcdir@ entries from VPATH if srcdir is ".", strip leading and +# trailing colons and then remove the whole line if VPATH becomes empty +# (actually we leave an empty line to preserve line numbers). +if test "x$srcdir" = x.; then + ac_vpsub='/^[ ]*VPATH[ ]*=[ ]*/{ +h +s/// +s/^/:/ +s/[ ]*$/:/ +s/:\$(srcdir):/:/g +s/:\${srcdir}:/:/g +s/:@srcdir@:/:/g +s/^:*// +s/:*$// +x +s/\(=[ ]*\).*/\1/ +G +s/\n// +s/^[^=]*=[ ]*$// +}' +fi -# -# CONFIG_FILES section. -# +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +fi # test -n "$CONFIG_FILES" -# No need to generate the scripts if there are no CONFIG_FILES. -# This happens for instance when ./config.status config.h -if test -n "\$CONFIG_FILES"; then - # Protect against being on the right side of a sed subst in config.status. - sed 's/,@/@@/; s/@,/@@/; s/,;t t\$/@;t t/; 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continue;; + esac + case $ac_mode$ac_tag in + :[FHL]*:*);; + :L* | :C*:*) as_fn_error $? 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"write failure creating $CONFIG_STATUS" "$LINENO" 5 + # configure is writing to config.log, and then calls config.status. # config.status does its own redirection, appending to config.log. @@ -20266,7 +11655,11 @@ if test "$no_create" != yes; then exec 5>>config.log # Use ||, not &&, to avoid exiting from the if with $? = 1, which # would make configure fail if this is the last instruction. - $ac_cs_success || { (exit 1); exit 1; } + $ac_cs_success || as_fn_exit 1 +fi +if test -n "$ac_unrecognized_opts" && test "$enable_option_checking" != no; then + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: unrecognized options: $ac_unrecognized_opts" >&5 +$as_echo "$as_me: WARNING: unrecognized options: $ac_unrecognized_opts" >&2;} fi diff --git a/unix/configure.in b/unix/configure.in index 5d4cfbe..41a1f62 100644 --- a/unix/configure.in +++ b/unix/configure.in @@ -3,8 +3,8 @@ dnl This file is an input file used by the GNU "autoconf" program to dnl generate the file "configure", which is run during Tcl installation dnl to configure the system for the local environment. -AC_INIT([tcl],[8.6]) -AC_PREREQ(2.59) +AC_INIT([tcl],[8.7]) +AC_PREREQ(2.69) dnl This is only used when included from macosx/configure.ac m4_ifdef([SC_USE_CONFIG_HEADERS], [ @@ -22,10 +22,10 @@ m4_ifdef([SC_USE_CONFIG_HEADERS], [ #endif /* _TCLCONFIG */]) ]) -TCL_VERSION=8.6 +TCL_VERSION=8.7 TCL_MAJOR_VERSION=8 -TCL_MINOR_VERSION=6 -TCL_PATCH_LEVEL=".5" +TCL_MINOR_VERSION=7 +TCL_PATCH_LEVEL="a0" VERSION=${TCL_VERSION} EXTRA_INSTALL_BINARIES=${EXTRA_INSTALL_BINARIES:-"@:"} diff --git a/unix/tcl.spec b/unix/tcl.spec index 3044311..868a226 100644 --- a/unix/tcl.spec +++ b/unix/tcl.spec @@ -4,7 +4,7 @@ Name: tcl Summary: Tcl scripting language development environment -Version: 8.6.5 +Version: 8.7a0 Release: 2 License: BSD Group: Development/Languages diff --git a/win/README b/win/README index 5e060ef..972923c 100644 --- a/win/README +++ b/win/README @@ -1,4 +1,4 @@ -Tcl 8.6 for Windows +Tcl 8.7 for Windows 1. Introduction --------------- @@ -16,7 +16,7 @@ The information in this file is maintained on the web at: In order to compile Tcl for Windows, you need the following: - Tcl 8.6 Source Distribution (plus any patches) + Tcl 8.7 Source Distribution (plus any patches) and @@ -79,9 +79,9 @@ Use the Makefile "install" target to install Tcl. It will install it according to the prefix options you provided in the correct directory structure. -Note that in order to run tclsh86.exe, you must ensure that tcl86.dll is +Note that in order to run tclsh87.exe, you must ensure that tcl87.dll is on your path, in the system directory, or in the directory containing -tclsh86.exe. +tclsh87.exe. Note: Tcl no longer provides support for Win32s. diff --git a/win/configure b/win/configure index 2336111..a1f57d1 100755 --- a/win/configure +++ b/win/configure @@ -1,81 +1,459 @@ #! /bin/sh # Guess values for system-dependent variables and create Makefiles. -# Generated by GNU Autoconf 2.59. +# Generated by GNU Autoconf 2.69. +# +# +# Copyright (C) 1992-1996, 1998-2012 Free Software Foundation, Inc. +# # -# Copyright (C) 2003 Free Software Foundation, Inc. # This configure script is free software; the Free Software Foundation # gives unlimited permission to copy, distribute and modify it. -## --------------------- ## -## M4sh Initialization. ## -## --------------------- ## +## -------------------- ## +## M4sh Initialization. ## +## -------------------- ## -# Be Bourne compatible -if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then +# Be more Bourne compatible +DUALCASE=1; export DUALCASE # for MKS sh +if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then : emulate sh NULLCMD=: - # Zsh 3.x and 4.x performs word splitting on ${1+"$@"}, which + # Pre-4.2 versions of Zsh do word splitting on ${1+"$@"}, which # is contrary to our usage. Disable this feature. alias -g '${1+"$@"}'='"$@"' -elif test -n "${BASH_VERSION+set}" && (set -o posix) >/dev/null 2>&1; then - set -o posix + setopt NO_GLOB_SUBST +else + case `(set -o) 2>/dev/null` in #( + *posix*) : + set -o posix ;; #( + *) : + ;; +esac fi -DUALCASE=1; export DUALCASE # for MKS sh -# Support unset when possible. -if ( (MAIL=60; unset MAIL) || exit) >/dev/null 2>&1; then - as_unset=unset -else - as_unset=false + +as_nl=' +' +export as_nl +# Printing a long string crashes Solaris 7 /usr/bin/printf. +as_echo='\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\' +as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo +as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo$as_echo +# Prefer a ksh shell builtin over an external printf program on Solaris, +# but without wasting forks for bash or zsh. +if test -z "$BASH_VERSION$ZSH_VERSION" \ + && (test "X`print -r -- $as_echo`" = "X$as_echo") 2>/dev/null; then + as_echo='print -r --' + as_echo_n='print -rn --' +elif (test "X`printf %s $as_echo`" = "X$as_echo") 2>/dev/null; then + as_echo='printf %s\n' + as_echo_n='printf %s' +else + if test "X`(/usr/ucb/echo -n -n $as_echo) 2>/dev/null`" = "X-n $as_echo"; then + as_echo_body='eval /usr/ucb/echo -n "$1$as_nl"' + as_echo_n='/usr/ucb/echo -n' + else + as_echo_body='eval expr "X$1" : "X\\(.*\\)"' + as_echo_n_body='eval + arg=$1; + case $arg in #( + *"$as_nl"*) + expr "X$arg" : "X\\(.*\\)$as_nl"; + arg=`expr "X$arg" : ".*$as_nl\\(.*\\)"`;; + esac; + expr "X$arg" : "X\\(.*\\)" | tr -d "$as_nl" + ' + export as_echo_n_body + as_echo_n='sh -c $as_echo_n_body as_echo' + fi + export as_echo_body + as_echo='sh -c $as_echo_body as_echo' +fi + +# The user is always right. +if test "${PATH_SEPARATOR+set}" != set; then + PATH_SEPARATOR=: + (PATH='/bin;/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 && { + (PATH='/bin:/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 || + PATH_SEPARATOR=';' + } fi -# Work around bugs in pre-3.0 UWIN ksh. -$as_unset ENV MAIL MAILPATH +# IFS +# We need space, tab and new line, in precisely that order. Quoting is +# there to prevent editors from complaining about space-tab. +# (If _AS_PATH_WALK were called with IFS unset, it would disable word +# splitting by setting IFS to empty value.) +IFS=" "" $as_nl" + +# Find who we are. Look in the path if we contain no directory separator. +as_myself= +case $0 in #(( + *[\\/]* ) as_myself=$0 ;; + *) as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + test -r "$as_dir/$0" && as_myself=$as_dir/$0 && break + done +IFS=$as_save_IFS + + ;; +esac +# We did not find ourselves, most probably we were run as `sh COMMAND' +# in which case we are not to be found in the path. +if test "x$as_myself" = x; then + as_myself=$0 +fi +if test ! -f "$as_myself"; then + $as_echo "$as_myself: error: cannot find myself; rerun with an absolute file name" >&2 + exit 1 +fi + +# Unset variables that we do not need and which cause bugs (e.g. in +# pre-3.0 UWIN ksh). But do not cause bugs in bash 2.01; the "|| exit 1" +# suppresses any "Segmentation fault" message there. '((' could +# trigger a bug in pdksh 5.2.14. +for as_var in BASH_ENV ENV MAIL MAILPATH +do eval test x\${$as_var+set} = xset \ + && ( (unset $as_var) || exit 1) >/dev/null 2>&1 && unset $as_var || : +done PS1='$ ' PS2='> ' PS4='+ ' # NLS nuisances. -for as_var in \ - LANG LANGUAGE LC_ADDRESS LC_ALL LC_COLLATE LC_CTYPE LC_IDENTIFICATION \ - LC_MEASUREMENT LC_MESSAGES LC_MONETARY LC_NAME LC_NUMERIC LC_PAPER \ - LC_TELEPHONE LC_TIME +LC_ALL=C +export LC_ALL +LANGUAGE=C +export LANGUAGE + +# CDPATH. +(unset CDPATH) >/dev/null 2>&1 && unset CDPATH + +# Use a proper internal environment variable to ensure we don't fall + # into an infinite loop, continuously re-executing ourselves. + if test x"${_as_can_reexec}" != xno && test "x$CONFIG_SHELL" != x; then + _as_can_reexec=no; export _as_can_reexec; + # We cannot yet assume a decent shell, so we have to provide a +# neutralization value for shells without unset; and this also +# works around shells that cannot unset nonexistent variables. +# Preserve -v and -x to the replacement shell. +BASH_ENV=/dev/null +ENV=/dev/null +(unset BASH_ENV) >/dev/null 2>&1 && unset BASH_ENV ENV +case $- in # (((( + *v*x* | *x*v* ) as_opts=-vx ;; + *v* ) as_opts=-v ;; + *x* ) as_opts=-x ;; + * ) as_opts= ;; +esac +exec $CONFIG_SHELL $as_opts "$as_myself" ${1+"$@"} +# Admittedly, this is quite paranoid, since all the known shells bail +# out after a failed `exec'. +$as_echo "$0: could not re-execute with $CONFIG_SHELL" >&2 +as_fn_exit 255 + fi + # We don't want this to propagate to other subprocesses. + { _as_can_reexec=; unset _as_can_reexec;} +if test "x$CONFIG_SHELL" = x; then + as_bourne_compatible="if test -n \"\${ZSH_VERSION+set}\" && (emulate sh) >/dev/null 2>&1; then : + emulate sh + NULLCMD=: + # Pre-4.2 versions of Zsh do word splitting on \${1+\"\$@\"}, which + # is contrary to our usage. Disable this feature. + alias -g '\${1+\"\$@\"}'='\"\$@\"' + setopt NO_GLOB_SUBST +else + case \`(set -o) 2>/dev/null\` in #( + *posix*) : + set -o posix ;; #( + *) : + ;; +esac +fi +" + as_required="as_fn_return () { (exit \$1); } +as_fn_success () { as_fn_return 0; } +as_fn_failure () { as_fn_return 1; } +as_fn_ret_success () { return 0; } +as_fn_ret_failure () { return 1; } + +exitcode=0 +as_fn_success || { exitcode=1; echo as_fn_success failed.; } +as_fn_failure && { exitcode=1; echo as_fn_failure succeeded.; } +as_fn_ret_success || { exitcode=1; echo as_fn_ret_success failed.; } +as_fn_ret_failure && { exitcode=1; echo as_fn_ret_failure succeeded.; } +if ( set x; as_fn_ret_success y && test x = \"\$1\" ); then : + +else + exitcode=1; echo positional parameters were not saved. +fi +test x\$exitcode = x0 || exit 1 +test -x / || exit 1" + as_suggested=" as_lineno_1=";as_suggested=$as_suggested$LINENO;as_suggested=$as_suggested" as_lineno_1a=\$LINENO + as_lineno_2=";as_suggested=$as_suggested$LINENO;as_suggested=$as_suggested" as_lineno_2a=\$LINENO + eval 'test \"x\$as_lineno_1'\$as_run'\" != \"x\$as_lineno_2'\$as_run'\" && + test \"x\`expr \$as_lineno_1'\$as_run' + 1\`\" = \"x\$as_lineno_2'\$as_run'\"' || exit 1 +test \$(( 1 + 1 )) = 2 || exit 1" + if (eval "$as_required") 2>/dev/null; then : + as_have_required=yes +else + as_have_required=no +fi + if test x$as_have_required = xyes && (eval "$as_suggested") 2>/dev/null; then : + +else + as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +as_found=false +for as_dir in /bin$PATH_SEPARATOR/usr/bin$PATH_SEPARATOR$PATH do - if (set +x; test -z "`(eval $as_var=C; export $as_var) 2>&1`"); then - eval $as_var=C; export $as_var + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + as_found=: + case $as_dir in #( + /*) + for as_base in sh bash ksh sh5; do + # Try only shells that exist, to save several forks. + as_shell=$as_dir/$as_base + if { test -f "$as_shell" || test -f "$as_shell.exe"; } && + { $as_echo "$as_bourne_compatible""$as_required" | as_run=a "$as_shell"; } 2>/dev/null; then : + CONFIG_SHELL=$as_shell as_have_required=yes + if { $as_echo "$as_bourne_compatible""$as_suggested" | as_run=a "$as_shell"; } 2>/dev/null; then : + break 2 +fi +fi + done;; + esac + as_found=false +done +$as_found || { if { test -f "$SHELL" || test -f "$SHELL.exe"; } && + { $as_echo "$as_bourne_compatible""$as_required" | as_run=a "$SHELL"; } 2>/dev/null; then : + CONFIG_SHELL=$SHELL as_have_required=yes +fi; } +IFS=$as_save_IFS + + + if test "x$CONFIG_SHELL" != x; then : + export CONFIG_SHELL + # We cannot yet assume a decent shell, so we have to provide a +# neutralization value for shells without unset; and this also +# works around shells that cannot unset nonexistent variables. +# Preserve -v and -x to the replacement shell. +BASH_ENV=/dev/null +ENV=/dev/null +(unset BASH_ENV) >/dev/null 2>&1 && unset BASH_ENV ENV +case $- in # (((( + *v*x* | *x*v* ) as_opts=-vx ;; + *v* ) as_opts=-v ;; + *x* ) as_opts=-x ;; + * ) as_opts= ;; +esac +exec $CONFIG_SHELL $as_opts "$as_myself" ${1+"$@"} +# Admittedly, this is quite paranoid, since all the known shells bail +# out after a failed `exec'. +$as_echo "$0: could not re-execute with $CONFIG_SHELL" >&2 +exit 255 +fi + + if test x$as_have_required = xno; then : + $as_echo "$0: This script requires a shell more modern than all" + $as_echo "$0: the shells that I found on your system." + if test x${ZSH_VERSION+set} = xset ; then + $as_echo "$0: In particular, zsh $ZSH_VERSION has bugs and should" + $as_echo "$0: be upgraded to zsh 4.3.4 or later." else - $as_unset $as_var + $as_echo "$0: Please tell bug-autoconf@gnu.org about your system, +$0: including any error possibly output before this +$0: message. Then install a modern shell, or manually run +$0: the script under such a shell if you do have one." fi -done + exit 1 +fi +fi +fi +SHELL=${CONFIG_SHELL-/bin/sh} +export SHELL +# Unset more variables known to interfere with behavior of common tools. +CLICOLOR_FORCE= GREP_OPTIONS= +unset CLICOLOR_FORCE GREP_OPTIONS + +## --------------------- ## +## M4sh Shell Functions. ## +## --------------------- ## +# as_fn_unset VAR +# --------------- +# Portably unset VAR. +as_fn_unset () +{ + { eval $1=; unset $1;} +} +as_unset=as_fn_unset + +# as_fn_set_status STATUS +# ----------------------- +# Set $? to STATUS, without forking. +as_fn_set_status () +{ + return $1 +} # as_fn_set_status + +# as_fn_exit STATUS +# ----------------- +# Exit the shell with STATUS, even in a "trap 0" or "set -e" context. +as_fn_exit () +{ + set +e + as_fn_set_status $1 + exit $1 +} # as_fn_exit + +# as_fn_mkdir_p +# ------------- +# Create "$as_dir" as a directory, including parents if necessary. +as_fn_mkdir_p () +{ + + case $as_dir in #( + -*) as_dir=./$as_dir;; + esac + test -d "$as_dir" || eval $as_mkdir_p || { + as_dirs= + while :; do + case $as_dir in #( + *\'*) as_qdir=`$as_echo "$as_dir" | sed "s/'/'\\\\\\\\''/g"`;; #'( + *) as_qdir=$as_dir;; + esac + as_dirs="'$as_qdir' $as_dirs" + as_dir=`$as_dirname -- "$as_dir" || +$as_expr X"$as_dir" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \ + X"$as_dir" : 'X\(//\)[^/]' \| \ + X"$as_dir" : 'X\(//\)$' \| \ + X"$as_dir" : 'X\(/\)' \| . 2>/dev/null || +$as_echo X"$as_dir" | + sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{ + s//\1/ + q + } + /^X\(\/\/\)[^/].*/{ + s//\1/ + q + } + /^X\(\/\/\)$/{ + s//\1/ + q + } + /^X\(\/\).*/{ + s//\1/ + q + } + s/.*/./; q'` + test -d "$as_dir" && break + done + test -z "$as_dirs" || eval "mkdir $as_dirs" + } || test -d "$as_dir" || as_fn_error $? "cannot create directory $as_dir" + + +} # as_fn_mkdir_p + +# as_fn_executable_p FILE +# ----------------------- +# Test if FILE is an executable regular file. +as_fn_executable_p () +{ + test -f "$1" && test -x "$1" +} # as_fn_executable_p +# as_fn_append VAR VALUE +# ---------------------- +# Append the text in VALUE to the end of the definition contained in VAR. Take +# advantage of any shell optimizations that allow amortized linear growth over +# repeated appends, instead of the typical quadratic growth present in naive +# implementations. +if (eval "as_var=1; as_var+=2; test x\$as_var = x12") 2>/dev/null; then : + eval 'as_fn_append () + { + eval $1+=\$2 + }' +else + as_fn_append () + { + eval $1=\$$1\$2 + } +fi # as_fn_append + +# as_fn_arith ARG... +# ------------------ +# Perform arithmetic evaluation on the ARGs, and store the result in the +# global $as_val. Take advantage of shells that can avoid forks. The arguments +# must be portable across $(()) and expr. +if (eval "test \$(( 1 + 1 )) = 2") 2>/dev/null; then : + eval 'as_fn_arith () + { + as_val=$(( $* )) + }' +else + as_fn_arith () + { + as_val=`expr "$@" || test $? -eq 1` + } +fi # as_fn_arith + + +# as_fn_error STATUS ERROR [LINENO LOG_FD] +# ---------------------------------------- +# Output "`basename $0`: error: ERROR" to stderr. If LINENO and LOG_FD are +# provided, also output the error to LOG_FD, referencing LINENO. Then exit the +# script with STATUS, using 1 if that was 0. +as_fn_error () +{ + as_status=$1; test $as_status -eq 0 && as_status=1 + if test "$4"; then + as_lineno=${as_lineno-"$3"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + $as_echo "$as_me:${as_lineno-$LINENO}: error: $2" >&$4 + fi + $as_echo "$as_me: error: $2" >&2 + as_fn_exit $as_status +} # as_fn_error -# Required to use basename. -if expr a : '\(a\)' >/dev/null 2>&1; then +if expr a : '\(a\)' >/dev/null 2>&1 && + test "X`expr 00001 : '.*\(...\)'`" = X001; then as_expr=expr else as_expr=false fi -if (basename /) >/dev/null 2>&1 && test "X`basename / 2>&1`" = "X/"; then +if (basename -- /) >/dev/null 2>&1 && test "X`basename -- / 2>&1`" = "X/"; then as_basename=basename else as_basename=false fi +if (as_dir=`dirname -- /` && test "X$as_dir" = X/) >/dev/null 2>&1; then + as_dirname=dirname +else + as_dirname=false +fi -# Name of the executable. -as_me=`$as_basename "$0" || +as_me=`$as_basename -- "$0" || $as_expr X/"$0" : '.*/\([^/][^/]*\)/*$' \| \ X"$0" : 'X\(//\)$' \| \ - X"$0" : 'X\(/\)$' \| \ - . : '\(.\)' 2>/dev/null || -echo X/"$0" | - sed '/^.*\/\([^/][^/]*\)\/*$/{ s//\1/; q; } - /^X\/\(\/\/\)$/{ s//\1/; q; } - /^X\/\(\/\).*/{ s//\1/; q; } - s/.*/./; q'` + X"$0" : 'X\(/\)' \| . 2>/dev/null || +$as_echo X/"$0" | + sed '/^.*\/\([^/][^/]*\)\/*$/{ + s//\1/ + q + } + /^X\/\(\/\/\)$/{ + s//\1/ + q + } + /^X\/\(\/\).*/{ + s//\1/ + q + } + s/.*/./; q'` - -# PATH needs CR, and LINENO needs CR and PATH. # Avoid depending upon Character Ranges. as_cr_letters='abcdefghijklmnopqrstuvwxyz' as_cr_LETTERS='ABCDEFGHIJKLMNOPQRSTUVWXYZ' @@ -83,146 +461,91 @@ as_cr_Letters=$as_cr_letters$as_cr_LETTERS as_cr_digits='0123456789' as_cr_alnum=$as_cr_Letters$as_cr_digits -# The user is always right. -if test "${PATH_SEPARATOR+set}" != set; then - echo "#! /bin/sh" >conf$$.sh - echo "exit 0" >>conf$$.sh - chmod +x conf$$.sh - if (PATH="/nonexistent;."; conf$$.sh) >/dev/null 2>&1; then - PATH_SEPARATOR=';' - else - PATH_SEPARATOR=: - fi - rm -f conf$$.sh -fi - - - as_lineno_1=$LINENO - as_lineno_2=$LINENO - as_lineno_3=`(expr $as_lineno_1 + 1) 2>/dev/null` - test "x$as_lineno_1" != "x$as_lineno_2" && - test "x$as_lineno_3" = "x$as_lineno_2" || { - # Find who we are. Look in the path if we contain no path at all - # relative or not. - case $0 in - *[\\/]* ) as_myself=$0 ;; - *) as_save_IFS=$IFS; IFS=$PATH_SEPARATOR -for as_dir in $PATH -do - IFS=$as_save_IFS - test -z "$as_dir" && as_dir=. - test -r "$as_dir/$0" && as_myself=$as_dir/$0 && break -done - - ;; - esac - # We did not find ourselves, most probably we were run as `sh COMMAND' - # in which case we are not to be found in the path. - if test "x$as_myself" = x; then - as_myself=$0 - fi - if test ! -f "$as_myself"; then - { echo "$as_me: error: cannot find myself; rerun with an absolute path" >&2 - { (exit 1); exit 1; }; } - fi - case $CONFIG_SHELL in - '') - as_save_IFS=$IFS; IFS=$PATH_SEPARATOR -for as_dir in /bin$PATH_SEPARATOR/usr/bin$PATH_SEPARATOR$PATH -do - IFS=$as_save_IFS - test -z "$as_dir" && as_dir=. - for as_base in sh bash ksh sh5; do - case $as_dir in - /*) - if ("$as_dir/$as_base" -c ' - as_lineno_1=$LINENO - as_lineno_2=$LINENO - as_lineno_3=`(expr $as_lineno_1 + 1) 2>/dev/null` - test "x$as_lineno_1" != "x$as_lineno_2" && - test "x$as_lineno_3" = "x$as_lineno_2" ') 2>/dev/null; then - $as_unset BASH_ENV || test "${BASH_ENV+set}" != set || { BASH_ENV=; export BASH_ENV; } - $as_unset ENV || test "${ENV+set}" != set || { ENV=; export ENV; } - CONFIG_SHELL=$as_dir/$as_base - export CONFIG_SHELL - exec "$CONFIG_SHELL" "$0" ${1+"$@"} - fi;; - esac - done -done -;; - esac - # Create $as_me.lineno as a copy of $as_myself, but with $LINENO - # uniformly replaced by the line number. The first 'sed' inserts a - # line-number line before each line; the second 'sed' does the real - # work. The second script uses 'N' to pair each line-number line - # with the numbered line, and appends trailing '-' during - # substitution so that $LINENO is not a special case at line end. - # (Raja R Harinath suggested sed '=', and Paul Eggert wrote the - # second 'sed' script. Blame Lee E. McMahon for sed's syntax. :-) - sed '=' <$as_myself | + as_lineno_1=$LINENO as_lineno_1a=$LINENO + as_lineno_2=$LINENO as_lineno_2a=$LINENO + eval 'test "x$as_lineno_1'$as_run'" != "x$as_lineno_2'$as_run'" && + test "x`expr $as_lineno_1'$as_run' + 1`" = "x$as_lineno_2'$as_run'"' || { + # Blame Lee E. McMahon (1931-1989) for sed's syntax. :-) + sed -n ' + p + /[$]LINENO/= + ' <$as_myself | sed ' + s/[$]LINENO.*/&-/ + t lineno + b + :lineno N - s,$,-, - : loop - s,^\(['$as_cr_digits']*\)\(.*\)[$]LINENO\([^'$as_cr_alnum'_]\),\1\2\1\3, + :loop + s/[$]LINENO\([^'$as_cr_alnum'_].*\n\)\(.*\)/\2\1\2/ t loop - s,-$,, - s,^['$as_cr_digits']*\n,, + s/-\n.*// ' >$as_me.lineno && - chmod +x $as_me.lineno || - { echo "$as_me: error: cannot create $as_me.lineno; rerun with a POSIX shell" >&2 - { (exit 1); exit 1; }; } + chmod +x "$as_me.lineno" || + { $as_echo "$as_me: error: cannot create $as_me.lineno; rerun with a POSIX shell" >&2; as_fn_exit 1; } + # If we had to re-execute with $CONFIG_SHELL, we're ensured to have + # already done that, so ensure we don't try to do so again and fall + # in an infinite loop. This has already happened in practice. + _as_can_reexec=no; export _as_can_reexec # Don't try to exec as it changes $[0], causing all sort of problems # (the dirname of $[0] is not the place where we might find the - # original and so on. Autoconf is especially sensible to this). - . ./$as_me.lineno + # original and so on. Autoconf is especially sensitive to this). + . "./$as_me.lineno" # Exit status is that of the last command. exit } - -case `echo "testing\c"; echo 1,2,3`,`echo -n testing; echo 1,2,3` in - *c*,-n*) ECHO_N= ECHO_C=' -' ECHO_T=' ' ;; - *c*,* ) ECHO_N=-n ECHO_C= ECHO_T= ;; - *) ECHO_N= ECHO_C='\c' ECHO_T= ;; +ECHO_C= ECHO_N= ECHO_T= +case `echo -n x` in #((((( +-n*) + case `echo 'xy\c'` in + *c*) ECHO_T=' ';; # ECHO_T is single tab character. + xy) ECHO_C='\c';; + *) echo `echo ksh88 bug on AIX 6.1` > /dev/null + ECHO_T=' ';; + esac;; +*) + ECHO_N='-n';; esac -if expr a : '\(a\)' >/dev/null 2>&1; then - as_expr=expr +rm -f conf$$ conf$$.exe conf$$.file +if test -d conf$$.dir; then + rm -f conf$$.dir/conf$$.file else - as_expr=false + rm -f conf$$.dir + mkdir conf$$.dir 2>/dev/null fi - -rm -f conf$$ conf$$.exe conf$$.file -echo >conf$$.file -if ln -s conf$$.file conf$$ 2>/dev/null; then - # We could just check for DJGPP; but this test a) works b) is more generic - # and c) will remain valid once DJGPP supports symlinks (DJGPP 2.04). - if test -f conf$$.exe; then - # Don't use ln at all; we don't have any links - as_ln_s='cp -p' - else +if (echo >conf$$.file) 2>/dev/null; then + if ln -s conf$$.file conf$$ 2>/dev/null; then as_ln_s='ln -s' + # ... but there are two gotchas: + # 1) On MSYS, both `ln -s file dir' and `ln file dir' fail. + # 2) DJGPP < 2.04 has no symlinks; `ln -s' creates a wrapper executable. + # In both cases, we have to default to `cp -pR'. + ln -s conf$$.file conf$$.dir 2>/dev/null && test ! -f conf$$.exe || + as_ln_s='cp -pR' + elif ln conf$$.file conf$$ 2>/dev/null; then + as_ln_s=ln + else + as_ln_s='cp -pR' fi -elif ln conf$$.file conf$$ 2>/dev/null; then - as_ln_s=ln else - as_ln_s='cp -p' + as_ln_s='cp -pR' fi -rm -f conf$$ conf$$.exe conf$$.file +rm -f conf$$ conf$$.exe conf$$.dir/conf$$.file conf$$.file +rmdir conf$$.dir 2>/dev/null if mkdir -p . 2>/dev/null; then - as_mkdir_p=: + as_mkdir_p='mkdir -p "$as_dir"' else test -d ./-p && rmdir ./-p as_mkdir_p=false fi -as_executable_p="test -f" +as_test_x='test -x' +as_executable_p=as_fn_executable_p # Sed expression to map a string onto a valid CPP name. as_tr_cpp="eval sed 'y%*$as_cr_letters%P$as_cr_LETTERS%;s%[^_$as_cr_alnum]%_%g'" @@ -231,38 +554,25 @@ as_tr_cpp="eval sed 'y%*$as_cr_letters%P$as_cr_LETTERS%;s%[^_$as_cr_alnum]%_%g'" as_tr_sh="eval sed 'y%*+%pp%;s%[^_$as_cr_alnum]%_%g'" -# IFS -# We need space, tab and new line, in precisely that order. -as_nl=' -' -IFS=" $as_nl" - -# CDPATH. -$as_unset CDPATH - +test -n "$DJDIR" || exec 7<&0 &1 # Name of the host. -# hostname on some systems (SVR3.2, Linux) returns a bogus exit status, +# hostname on some systems (SVR3.2, old GNU/Linux) returns a bogus exit status, # so uname gets run too. ac_hostname=`(hostname || uname -n) 2>/dev/null | sed 1q` -exec 6>&1 - # # Initializations. # ac_default_prefix=/usr/local +ac_clean_files= ac_config_libobj_dir=. +LIBOBJS= cross_compiling=no subdirs= MFLAGS= MAKEFLAGS= -SHELL=${CONFIG_SHELL-/bin/sh} - -# Maximum number of lines to put in a shell here document. -# This variable seems obsolete. It should probably be removed, and -# only ac_max_sed_lines should be used. -: ${ac_max_here_lines=38} # Identity of this package. PACKAGE_NAME= @@ -270,51 +580,214 @@ PACKAGE_TARNAME= PACKAGE_VERSION= PACKAGE_STRING= PACKAGE_BUGREPORT= +PACKAGE_URL= ac_unique_file="../generic/tcl.h" # Factoring default headers for most tests. ac_includes_default="\ #include -#if HAVE_SYS_TYPES_H +#ifdef HAVE_SYS_TYPES_H # include #endif -#if HAVE_SYS_STAT_H +#ifdef HAVE_SYS_STAT_H # include #endif -#if STDC_HEADERS +#ifdef STDC_HEADERS # include # include #else -# if HAVE_STDLIB_H +# ifdef HAVE_STDLIB_H # include # endif #endif -#if HAVE_STRING_H -# if !STDC_HEADERS && HAVE_MEMORY_H +#ifdef HAVE_STRING_H +# if !defined STDC_HEADERS && defined HAVE_MEMORY_H # include # endif # include #endif -#if HAVE_STRINGS_H +#ifdef HAVE_STRINGS_H # include #endif -#if HAVE_INTTYPES_H +#ifdef HAVE_INTTYPES_H # include -#else -# if HAVE_STDINT_H -# include -# endif #endif -#if HAVE_UNISTD_H +#ifdef HAVE_STDINT_H +# include +#endif +#ifdef HAVE_UNISTD_H # include #endif" -ac_subst_vars='SHELL PATH_SEPARATOR PACKAGE_NAME PACKAGE_TARNAME PACKAGE_VERSION PACKAGE_STRING PACKAGE_BUGREPORT exec_prefix prefix program_transform_name bindir sbindir libexecdir datadir sysconfdir sharedstatedir localstatedir libdir includedir oldincludedir infodir mandir build_alias host_alias target_alias DEFS ECHO_C ECHO_N ECHO_T LIBS CC CFLAGS LDFLAGS CPPFLAGS ac_ct_CC EXEEXT OBJEXT CPP EGREP AR ac_ct_AR RANLIB ac_ct_RANLIB RC ac_ct_RC SET_MAKE TCL_THREADS CYGPATH CELIB_DIR DL_LIBS CFLAGS_DEBUG CFLAGS_OPTIMIZE CFLAGS_WARNING ZLIB_DLL_FILE ZLIB_LIBS ZLIB_OBJS CFLAGS_DEFAULT LDFLAGS_DEFAULT VC_MANIFEST_EMBED_DLL VC_MANIFEST_EMBED_EXE TCL_WIN_VERSION MACHINE TCL_VERSION TCL_MAJOR_VERSION TCL_MINOR_VERSION TCL_PATCH_LEVEL PKG_CFG_ARGS TCL_EXE TCL_LIB_FILE TCL_LIB_FLAG TCL_STATIC_LIB_FILE TCL_STATIC_LIB_FLAG TCL_IMPORT_LIB_FILE TCL_IMPORT_LIB_FLAG TCL_LIB_SPEC TCL_STUB_LIB_FILE TCL_STUB_LIB_FLAG TCL_STUB_LIB_SPEC TCL_STUB_LIB_PATH TCL_INCLUDE_SPEC TCL_BUILD_STUB_LIB_SPEC TCL_BUILD_STUB_LIB_PATH TCL_DLL_FILE TCL_SRC_DIR TCL_BIN_DIR TCL_DBGX CFG_TCL_SHARED_LIB_SUFFIX CFG_TCL_UNSHARED_LIB_SUFFIX CFG_TCL_EXPORT_FILE_SUFFIX EXTRA_CFLAGS DEPARG CC_OBJNAME CC_EXENAME LDFLAGS_DEBUG LDFLAGS_OPTIMIZE LDFLAGS_CONSOLE LDFLAGS_WINDOW STLIB_LD SHLIB_LD SHLIB_LD_LIBS SHLIB_CFLAGS SHLIB_SUFFIX TCL_SHARED_BUILD LIBS_GUI DLLSUFFIX LIBPREFIX LIBSUFFIX EXESUFFIX LIBRARIES MAKE_LIB MAKE_STUB_LIB POST_MAKE_LIB MAKE_DLL MAKE_EXE TCL_BUILD_LIB_SPEC TCL_LD_SEARCH_FLAGS TCL_NEEDS_EXP_FILE TCL_BUILD_EXP_FILE TCL_EXP_FILE TCL_LIB_VERSIONS_OK TCL_PACKAGE_PATH TCL_DDE_VERSION TCL_DDE_MAJOR_VERSION TCL_DDE_MINOR_VERSION TCL_REG_VERSION TCL_REG_MAJOR_VERSION TCL_REG_MINOR_VERSION RC_OUT RC_TYPE RC_INCLUDE RC_DEFINE RC_DEFINES RES LIBOBJS LTLIBOBJS' +ac_subst_vars='LTLIBOBJS +LIBOBJS +RES +RC_DEFINES +RC_DEFINE +RC_INCLUDE +RC_TYPE +RC_OUT +TCL_REG_MINOR_VERSION +TCL_REG_MAJOR_VERSION +TCL_REG_VERSION +TCL_DDE_MINOR_VERSION +TCL_DDE_MAJOR_VERSION +TCL_DDE_VERSION +TCL_PACKAGE_PATH +TCL_LIB_VERSIONS_OK +TCL_EXP_FILE +TCL_BUILD_EXP_FILE +TCL_NEEDS_EXP_FILE +TCL_LD_SEARCH_FLAGS +TCL_BUILD_LIB_SPEC +MAKE_EXE +MAKE_DLL +POST_MAKE_LIB +MAKE_STUB_LIB +MAKE_LIB +LIBRARIES +EXESUFFIX +LIBSUFFIX +LIBPREFIX +DLLSUFFIX +LIBS_GUI +TCL_SHARED_BUILD +SHLIB_SUFFIX +SHLIB_CFLAGS +SHLIB_LD_LIBS +SHLIB_LD +STLIB_LD +LDFLAGS_WINDOW +LDFLAGS_CONSOLE +LDFLAGS_OPTIMIZE +LDFLAGS_DEBUG +CC_EXENAME +CC_OBJNAME +DEPARG +EXTRA_CFLAGS +CFG_TCL_EXPORT_FILE_SUFFIX +CFG_TCL_UNSHARED_LIB_SUFFIX +CFG_TCL_SHARED_LIB_SUFFIX +TCL_DBGX +TCL_BIN_DIR +TCL_SRC_DIR +TCL_DLL_FILE +TCL_BUILD_STUB_LIB_PATH +TCL_BUILD_STUB_LIB_SPEC +TCL_INCLUDE_SPEC +TCL_STUB_LIB_PATH +TCL_STUB_LIB_SPEC +TCL_STUB_LIB_FLAG +TCL_STUB_LIB_FILE +TCL_LIB_SPEC +TCL_IMPORT_LIB_FLAG +TCL_IMPORT_LIB_FILE +TCL_STATIC_LIB_FLAG +TCL_STATIC_LIB_FILE +TCL_LIB_FLAG +TCL_LIB_FILE +TCL_EXE +PKG_CFG_ARGS +TCL_PATCH_LEVEL +TCL_MINOR_VERSION +TCL_MAJOR_VERSION +TCL_VERSION +MACHINE +TCL_WIN_VERSION +VC_MANIFEST_EMBED_EXE +VC_MANIFEST_EMBED_DLL +LDFLAGS_DEFAULT +CFLAGS_DEFAULT +ZLIB_OBJS +ZLIB_LIBS +ZLIB_DLL_FILE +CFLAGS_WARNING +CFLAGS_OPTIMIZE +CFLAGS_DEBUG +DL_LIBS +CELIB_DIR +CYGPATH +TCL_THREADS +SET_MAKE +RC +RANLIB +AR +EGREP +GREP +CPP +OBJEXT +EXEEXT +ac_ct_CC +CPPFLAGS +LDFLAGS +CFLAGS +CC +target_alias +host_alias +build_alias +LIBS +ECHO_T +ECHO_N +ECHO_C +DEFS +mandir +localedir +libdir +psdir +pdfdir +dvidir +htmldir +infodir +docdir +oldincludedir +includedir +localstatedir +sharedstatedir +sysconfdir +datadir +datarootdir +libexecdir +sbindir +bindir +program_transform_name +prefix +exec_prefix +PACKAGE_URL +PACKAGE_BUGREPORT +PACKAGE_STRING +PACKAGE_VERSION +PACKAGE_TARNAME +PACKAGE_NAME +PATH_SEPARATOR +SHELL' ac_subst_files='' +ac_user_opts=' +enable_option_checking +enable_threads +with_encoding +enable_shared +enable_64bit +enable_wince +with_celib +enable_symbols +enable_embedded_manifest +' + ac_precious_vars='build_alias +host_alias +target_alias +CC +CFLAGS +LDFLAGS +LIBS +CPPFLAGS +CPP' + # Initialize some variables set by options. ac_init_help= ac_init_version=false +ac_unrecognized_opts= +ac_unrecognized_sep= # The variables have the same names as the options, with # dashes changed to underlines. cache_file=/dev/null @@ -337,34 +810,49 @@ x_libraries=NONE # and all the variables that are supposed to be based on exec_prefix # by default will actually change. # Use braces instead of parens because sh, perl, etc. also accept them. +# (The list follows the same order as the GNU Coding Standards.) bindir='${exec_prefix}/bin' sbindir='${exec_prefix}/sbin' libexecdir='${exec_prefix}/libexec' -datadir='${prefix}/share' +datarootdir='${prefix}/share' +datadir='${datarootdir}' sysconfdir='${prefix}/etc' sharedstatedir='${prefix}/com' localstatedir='${prefix}/var' -libdir='${exec_prefix}/lib' includedir='${prefix}/include' oldincludedir='/usr/include' -infodir='${prefix}/info' -mandir='${prefix}/man' +docdir='${datarootdir}/doc/${PACKAGE}' +infodir='${datarootdir}/info' +htmldir='${docdir}' +dvidir='${docdir}' +pdfdir='${docdir}' +psdir='${docdir}' +libdir='${exec_prefix}/lib' +localedir='${datarootdir}/locale' +mandir='${datarootdir}/man' ac_prev= +ac_dashdash= for ac_option do # If the previous option needs an argument, assign it. if test -n "$ac_prev"; then - eval "$ac_prev=\$ac_option" + eval $ac_prev=\$ac_option ac_prev= continue fi - ac_optarg=`expr "x$ac_option" : 'x[^=]*=\(.*\)'` + case $ac_option in + *=?*) ac_optarg=`expr "X$ac_option" : '[^=]*=\(.*\)'` ;; + *=) ac_optarg= ;; + *) ac_optarg=yes ;; + esac # Accept the important Cygnus configure options, so we can diagnose typos. - case $ac_option in + case $ac_dashdash$ac_option in + --) + ac_dashdash=yes ;; -bindir | --bindir | --bindi | --bind | --bin | --bi) ac_prev=bindir ;; @@ -386,33 +874,59 @@ do --config-cache | -C) cache_file=config.cache ;; - -datadir | --datadir | --datadi | --datad | --data | --dat | --da) + -datadir | --datadir | --datadi | --datad) ac_prev=datadir ;; - -datadir=* | --datadir=* | --datadi=* | --datad=* | --data=* | --dat=* \ - | --da=*) + -datadir=* | --datadir=* | --datadi=* | --datad=*) datadir=$ac_optarg ;; + -datarootdir | --datarootdir | --datarootdi | --datarootd | --dataroot \ + | --dataroo | --dataro | --datar) + ac_prev=datarootdir ;; + -datarootdir=* | --datarootdir=* | --datarootdi=* | --datarootd=* \ + | --dataroot=* | --dataroo=* | --dataro=* | --datar=*) + datarootdir=$ac_optarg ;; + -disable-* | --disable-*) - ac_feature=`expr "x$ac_option" : 'x-*disable-\(.*\)'` + ac_useropt=`expr "x$ac_option" : 'x-*disable-\(.*\)'` # Reject names that are not valid shell variable names. - expr "x$ac_feature" : ".*[^-_$as_cr_alnum]" >/dev/null && - { echo "$as_me: error: invalid feature name: $ac_feature" >&2 - { (exit 1); exit 1; }; } - ac_feature=`echo $ac_feature | sed 's/-/_/g'` - eval "enable_$ac_feature=no" ;; + expr "x$ac_useropt" : ".*[^-+._$as_cr_alnum]" >/dev/null && + as_fn_error $? "invalid feature name: $ac_useropt" + ac_useropt_orig=$ac_useropt + ac_useropt=`$as_echo "$ac_useropt" | sed 's/[-+.]/_/g'` + case $ac_user_opts in + *" +"enable_$ac_useropt" +"*) ;; + *) ac_unrecognized_opts="$ac_unrecognized_opts$ac_unrecognized_sep--disable-$ac_useropt_orig" + ac_unrecognized_sep=', ';; + esac + eval enable_$ac_useropt=no ;; + + -docdir | --docdir | --docdi | --doc | --do) + ac_prev=docdir ;; + -docdir=* | --docdir=* | --docdi=* | --doc=* | --do=*) + docdir=$ac_optarg ;; + + -dvidir | --dvidir | --dvidi | --dvid | --dvi | --dv) + ac_prev=dvidir ;; + -dvidir=* | --dvidir=* | --dvidi=* | --dvid=* | --dvi=* | --dv=*) + dvidir=$ac_optarg ;; -enable-* | --enable-*) - ac_feature=`expr "x$ac_option" : 'x-*enable-\([^=]*\)'` + ac_useropt=`expr "x$ac_option" : 'x-*enable-\([^=]*\)'` # Reject names that are not valid shell variable names. - expr "x$ac_feature" : ".*[^-_$as_cr_alnum]" >/dev/null && - { echo "$as_me: error: invalid feature name: $ac_feature" >&2 - { (exit 1); exit 1; }; } - ac_feature=`echo $ac_feature | sed 's/-/_/g'` - case $ac_option in - *=*) ac_optarg=`echo "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"`;; - *) ac_optarg=yes ;; + expr "x$ac_useropt" : ".*[^-+._$as_cr_alnum]" >/dev/null && + as_fn_error $? "invalid feature name: $ac_useropt" + ac_useropt_orig=$ac_useropt + ac_useropt=`$as_echo "$ac_useropt" | sed 's/[-+.]/_/g'` + case $ac_user_opts in + *" +"enable_$ac_useropt" +"*) ;; + *) ac_unrecognized_opts="$ac_unrecognized_opts$ac_unrecognized_sep--enable-$ac_useropt_orig" + ac_unrecognized_sep=', ';; esac - eval "enable_$ac_feature='$ac_optarg'" ;; + eval enable_$ac_useropt=\$ac_optarg ;; -exec-prefix | --exec_prefix | --exec-prefix | --exec-prefi \ | --exec-pref | --exec-pre | --exec-pr | --exec-p | --exec- \ @@ -439,6 +953,12 @@ do -host=* | --host=* | --hos=* | --ho=*) host_alias=$ac_optarg ;; + -htmldir | --htmldir | --htmldi | --htmld | --html | --htm | --ht) + ac_prev=htmldir ;; + -htmldir=* | --htmldir=* | --htmldi=* | --htmld=* | --html=* | --htm=* \ + | --ht=*) + htmldir=$ac_optarg ;; + -includedir | --includedir | --includedi | --included | --include \ | --includ | --inclu | --incl | --inc) ac_prev=includedir ;; @@ -463,13 +983,16 @@ do | --libexe=* | --libex=* | --libe=*) libexecdir=$ac_optarg ;; + -localedir | --localedir | --localedi | --localed | --locale) + ac_prev=localedir ;; + -localedir=* | --localedir=* | --localedi=* | --localed=* | --locale=*) + localedir=$ac_optarg ;; + -localstatedir | --localstatedir | --localstatedi | --localstated \ - | --localstate | --localstat | --localsta | --localst \ - | --locals | --local | --loca | --loc | --lo) + | --localstate | --localstat | --localsta | --localst | --locals) ac_prev=localstatedir ;; -localstatedir=* | --localstatedir=* | --localstatedi=* | --localstated=* \ - | --localstate=* | --localstat=* | --localsta=* | --localst=* \ - | --locals=* | --local=* | --loca=* | --loc=* | --lo=*) + | --localstate=* | --localstat=* | --localsta=* | --localst=* | --locals=*) localstatedir=$ac_optarg ;; -mandir | --mandir | --mandi | --mand | --man | --ma | --m) @@ -534,6 +1057,16 @@ do | --progr-tra=* | --program-tr=* | --program-t=*) program_transform_name=$ac_optarg ;; + -pdfdir | --pdfdir | --pdfdi | --pdfd | --pdf | --pd) + ac_prev=pdfdir ;; + -pdfdir=* | --pdfdir=* | --pdfdi=* | --pdfd=* | --pdf=* | --pd=*) + pdfdir=$ac_optarg ;; + + -psdir | --psdir | --psdi | --psd | --ps) + ac_prev=psdir ;; + -psdir=* | --psdir=* | --psdi=* | --psd=* | --ps=*) + psdir=$ac_optarg ;; + -q | -quiet | --quiet | --quie | --qui | --qu | --q \ | -silent | --silent | --silen | --sile | --sil) silent=yes ;; @@ -584,26 +1117,36 @@ do ac_init_version=: ;; -with-* | --with-*) - ac_package=`expr "x$ac_option" : 'x-*with-\([^=]*\)'` + ac_useropt=`expr "x$ac_option" : 'x-*with-\([^=]*\)'` # Reject names that are not valid shell variable names. - expr "x$ac_package" : ".*[^-_$as_cr_alnum]" >/dev/null && - { echo "$as_me: error: invalid package name: $ac_package" >&2 - { (exit 1); exit 1; }; } - ac_package=`echo $ac_package| sed 's/-/_/g'` - case $ac_option in - *=*) ac_optarg=`echo "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"`;; - *) ac_optarg=yes ;; + expr "x$ac_useropt" : ".*[^-+._$as_cr_alnum]" >/dev/null && + as_fn_error $? "invalid package name: $ac_useropt" + ac_useropt_orig=$ac_useropt + ac_useropt=`$as_echo "$ac_useropt" | sed 's/[-+.]/_/g'` + case $ac_user_opts in + *" +"with_$ac_useropt" +"*) ;; + *) ac_unrecognized_opts="$ac_unrecognized_opts$ac_unrecognized_sep--with-$ac_useropt_orig" + ac_unrecognized_sep=', ';; esac - eval "with_$ac_package='$ac_optarg'" ;; + eval with_$ac_useropt=\$ac_optarg ;; -without-* | --without-*) - ac_package=`expr "x$ac_option" : 'x-*without-\(.*\)'` + ac_useropt=`expr "x$ac_option" : 'x-*without-\(.*\)'` # Reject names that are not valid shell variable names. - expr "x$ac_package" : ".*[^-_$as_cr_alnum]" >/dev/null && - { echo "$as_me: error: invalid package name: $ac_package" >&2 - { (exit 1); exit 1; }; } - ac_package=`echo $ac_package | sed 's/-/_/g'` - eval "with_$ac_package=no" ;; + expr "x$ac_useropt" : ".*[^-+._$as_cr_alnum]" >/dev/null && + as_fn_error $? "invalid package name: $ac_useropt" + ac_useropt_orig=$ac_useropt + ac_useropt=`$as_echo "$ac_useropt" | sed 's/[-+.]/_/g'` + case $ac_user_opts in + *" +"with_$ac_useropt" +"*) ;; + *) ac_unrecognized_opts="$ac_unrecognized_opts$ac_unrecognized_sep--without-$ac_useropt_orig" + ac_unrecognized_sep=', ';; + esac + eval with_$ac_useropt=no ;; --x) # Obsolete; use --with-x. @@ -623,27 +1166,26 @@ do | --x-librar=* | --x-libra=* | --x-libr=* | --x-lib=* | --x-li=* | --x-l=*) x_libraries=$ac_optarg ;; - -*) { echo "$as_me: error: unrecognized option: $ac_option -Try \`$0 --help' for more information." >&2 - { (exit 1); exit 1; }; } + -*) as_fn_error $? "unrecognized option: \`$ac_option' +Try \`$0 --help' for more information" ;; *=*) ac_envvar=`expr "x$ac_option" : 'x\([^=]*\)='` # Reject names that are not valid shell variable names. - expr "x$ac_envvar" : ".*[^_$as_cr_alnum]" >/dev/null && - { echo "$as_me: error: invalid variable name: $ac_envvar" >&2 - { (exit 1); exit 1; }; } - ac_optarg=`echo "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"` - eval "$ac_envvar='$ac_optarg'" + case $ac_envvar in #( + '' | [0-9]* | *[!_$as_cr_alnum]* ) + as_fn_error $? "invalid variable name: \`$ac_envvar'" ;; + esac + eval $ac_envvar=\$ac_optarg export $ac_envvar ;; *) # FIXME: should be removed in autoconf 3.0. - echo "$as_me: WARNING: you should use --build, --host, --target" >&2 + $as_echo "$as_me: WARNING: you should use --build, --host, --target" >&2 expr "x$ac_option" : ".*[^-._$as_cr_alnum]" >/dev/null && - echo "$as_me: WARNING: invalid host type: $ac_option" >&2 - : ${build_alias=$ac_option} ${host_alias=$ac_option} ${target_alias=$ac_option} + $as_echo "$as_me: WARNING: invalid host type: $ac_option" >&2 + : "${build_alias=$ac_option} ${host_alias=$ac_option} ${target_alias=$ac_option}" ;; esac @@ -651,31 +1193,36 @@ done if test -n "$ac_prev"; then ac_option=--`echo $ac_prev | sed 's/_/-/g'` - { echo "$as_me: error: missing argument to $ac_option" >&2 - { (exit 1); exit 1; }; } + as_fn_error $? "missing argument to $ac_option" fi -# Be sure to have absolute paths. -for ac_var in exec_prefix prefix -do - eval ac_val=$`echo $ac_var` - case $ac_val in - [\\/$]* | ?:[\\/]* | NONE | '' ) ;; - *) { echo "$as_me: error: expected an absolute directory name for --$ac_var: $ac_val" >&2 - { (exit 1); exit 1; }; };; +if test -n "$ac_unrecognized_opts"; then + case $enable_option_checking in + no) ;; + fatal) as_fn_error $? "unrecognized options: $ac_unrecognized_opts" ;; + *) $as_echo "$as_me: WARNING: unrecognized options: $ac_unrecognized_opts" >&2 ;; esac -done +fi -# Be sure to have absolute paths. -for ac_var in bindir sbindir libexecdir datadir sysconfdir sharedstatedir \ - localstatedir libdir includedir oldincludedir infodir mandir +# Check all directory arguments for consistency. +for ac_var in exec_prefix prefix bindir sbindir libexecdir datarootdir \ + datadir sysconfdir sharedstatedir localstatedir includedir \ + oldincludedir docdir infodir htmldir dvidir pdfdir psdir \ + libdir localedir mandir do - eval ac_val=$`echo $ac_var` + eval ac_val=\$$ac_var + # Remove trailing slashes. case $ac_val in - [\\/$]* | ?:[\\/]* ) ;; - *) { echo "$as_me: error: expected an absolute directory name for --$ac_var: $ac_val" >&2 - { (exit 1); exit 1; }; };; + */ ) + ac_val=`expr "X$ac_val" : 'X\(.*[^/]\)' \| "X$ac_val" : 'X\(.*\)'` + eval $ac_var=\$ac_val;; esac + # Be sure to have absolute directory names. + case $ac_val in + [\\/$]* | ?:[\\/]* ) continue;; + NONE | '' ) case $ac_var in *prefix ) continue;; esac;; + esac + as_fn_error $? "expected an absolute directory name for --$ac_var: $ac_val" done # There might be people who depend on the old broken behavior: `$host' @@ -689,8 +1236,6 @@ target=$target_alias if test "x$host_alias" != x; then if test "x$build_alias" = x; then cross_compiling=maybe - echo "$as_me: WARNING: If you wanted to set the --build type, don't use --host. - If a cross compiler is detected then cross compile mode will be used." >&2 elif test "x$build_alias" != "x$host_alias"; then cross_compiling=yes fi @@ -702,74 +1247,72 @@ test -n "$host_alias" && ac_tool_prefix=$host_alias- test "$silent" = yes && exec 6>/dev/null +ac_pwd=`pwd` && test -n "$ac_pwd" && +ac_ls_di=`ls -di .` && +ac_pwd_ls_di=`cd "$ac_pwd" && ls -di .` || + as_fn_error $? "working directory cannot be determined" +test "X$ac_ls_di" = "X$ac_pwd_ls_di" || + as_fn_error $? "pwd does not report name of working directory" + + # Find the source files, if location was not specified. if test -z "$srcdir"; then ac_srcdir_defaulted=yes - # Try the directory containing this script, then its parent. - ac_confdir=`(dirname "$0") 2>/dev/null || -$as_expr X"$0" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \ - X"$0" : 'X\(//\)[^/]' \| \ - X"$0" : 'X\(//\)$' \| \ - X"$0" : 'X\(/\)' \| \ - . : '\(.\)' 2>/dev/null || -echo X"$0" | - sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{ s//\1/; q; } - /^X\(\/\/\)[^/].*/{ s//\1/; q; } - /^X\(\/\/\)$/{ s//\1/; q; } - /^X\(\/\).*/{ s//\1/; q; } - s/.*/./; q'` + # Try the directory containing this script, then the parent directory. + ac_confdir=`$as_dirname -- "$as_myself" || +$as_expr X"$as_myself" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \ + X"$as_myself" : 'X\(//\)[^/]' \| \ + X"$as_myself" : 'X\(//\)$' \| \ + X"$as_myself" : 'X\(/\)' \| . 2>/dev/null || +$as_echo X"$as_myself" | + sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{ + s//\1/ + q + } + /^X\(\/\/\)[^/].*/{ + s//\1/ + q + } + /^X\(\/\/\)$/{ + s//\1/ + q + } + /^X\(\/\).*/{ + s//\1/ + q + } + s/.*/./; q'` srcdir=$ac_confdir - if test ! -r $srcdir/$ac_unique_file; then + if test ! -r "$srcdir/$ac_unique_file"; then srcdir=.. fi else ac_srcdir_defaulted=no fi -if test ! -r $srcdir/$ac_unique_file; then - if test "$ac_srcdir_defaulted" = yes; then - { echo "$as_me: error: cannot find sources ($ac_unique_file) in $ac_confdir or .." >&2 - { (exit 1); exit 1; }; } - else - { echo "$as_me: error: cannot find sources ($ac_unique_file) in $srcdir" >&2 - { (exit 1); exit 1; }; } - fi -fi -(cd $srcdir && test -r ./$ac_unique_file) 2>/dev/null || - { echo "$as_me: error: sources are in $srcdir, but \`cd $srcdir' does not work" >&2 - { (exit 1); exit 1; }; } -srcdir=`echo "$srcdir" | sed 's%\([^\\/]\)[\\/]*$%\1%'` -ac_env_build_alias_set=${build_alias+set} -ac_env_build_alias_value=$build_alias -ac_cv_env_build_alias_set=${build_alias+set} -ac_cv_env_build_alias_value=$build_alias -ac_env_host_alias_set=${host_alias+set} -ac_env_host_alias_value=$host_alias -ac_cv_env_host_alias_set=${host_alias+set} -ac_cv_env_host_alias_value=$host_alias -ac_env_target_alias_set=${target_alias+set} -ac_env_target_alias_value=$target_alias -ac_cv_env_target_alias_set=${target_alias+set} -ac_cv_env_target_alias_value=$target_alias -ac_env_CC_set=${CC+set} -ac_env_CC_value=$CC -ac_cv_env_CC_set=${CC+set} -ac_cv_env_CC_value=$CC -ac_env_CFLAGS_set=${CFLAGS+set} -ac_env_CFLAGS_value=$CFLAGS -ac_cv_env_CFLAGS_set=${CFLAGS+set} -ac_cv_env_CFLAGS_value=$CFLAGS -ac_env_LDFLAGS_set=${LDFLAGS+set} -ac_env_LDFLAGS_value=$LDFLAGS -ac_cv_env_LDFLAGS_set=${LDFLAGS+set} -ac_cv_env_LDFLAGS_value=$LDFLAGS -ac_env_CPPFLAGS_set=${CPPFLAGS+set} -ac_env_CPPFLAGS_value=$CPPFLAGS -ac_cv_env_CPPFLAGS_set=${CPPFLAGS+set} -ac_cv_env_CPPFLAGS_value=$CPPFLAGS -ac_env_CPP_set=${CPP+set} -ac_env_CPP_value=$CPP -ac_cv_env_CPP_set=${CPP+set} -ac_cv_env_CPP_value=$CPP +if test ! -r "$srcdir/$ac_unique_file"; then + test "$ac_srcdir_defaulted" = yes && srcdir="$ac_confdir or .." + as_fn_error $? "cannot find sources ($ac_unique_file) in $srcdir" +fi +ac_msg="sources are in $srcdir, but \`cd $srcdir' does not work" +ac_abs_confdir=`( + cd "$srcdir" && test -r "./$ac_unique_file" || as_fn_error $? "$ac_msg" + pwd)` +# When building in place, set srcdir=. +if test "$ac_abs_confdir" = "$ac_pwd"; then + srcdir=. +fi +# Remove unnecessary trailing slashes from srcdir. +# Double slashes in file names in object file debugging info +# mess up M-x gdb in Emacs. +case $srcdir in +*/) srcdir=`expr "X$srcdir" : 'X\(.*[^/]\)' \| "X$srcdir" : 'X\(.*\)'`;; +esac +for ac_var in $ac_precious_vars; do + eval ac_env_${ac_var}_set=\${${ac_var}+set} + eval ac_env_${ac_var}_value=\$${ac_var} + eval ac_cv_env_${ac_var}_set=\${${ac_var}+set} + eval ac_cv_env_${ac_var}_value=\$${ac_var} +done # # Report the --help message. @@ -792,20 +1335,17 @@ Configuration: --help=short display options specific to this package --help=recursive display the short help of all the included packages -V, --version display version information and exit - -q, --quiet, --silent do not print \`checking...' messages + -q, --quiet, --silent do not print \`checking ...' messages --cache-file=FILE cache test results in FILE [disabled] -C, --config-cache alias for \`--cache-file=config.cache' -n, --no-create do not create output files --srcdir=DIR find the sources in DIR [configure dir or \`..'] -_ACEOF - - cat <<_ACEOF Installation directories: --prefix=PREFIX install architecture-independent files in PREFIX - [$ac_default_prefix] + [$ac_default_prefix] --exec-prefix=EPREFIX install architecture-dependent files in EPREFIX - [PREFIX] + [PREFIX] By default, \`make install' will install all the files in \`$ac_default_prefix/bin', \`$ac_default_prefix/lib' etc. You can specify @@ -815,18 +1355,25 @@ for instance \`--prefix=\$HOME'. For better control, use the options below. Fine tuning of the installation directories: - --bindir=DIR user executables [EPREFIX/bin] - --sbindir=DIR system admin executables [EPREFIX/sbin] - --libexecdir=DIR program executables [EPREFIX/libexec] - --datadir=DIR read-only architecture-independent data [PREFIX/share] - --sysconfdir=DIR read-only single-machine data [PREFIX/etc] - --sharedstatedir=DIR modifiable architecture-independent data [PREFIX/com] - --localstatedir=DIR modifiable single-machine data [PREFIX/var] - --libdir=DIR object code libraries [EPREFIX/lib] - --includedir=DIR C header files [PREFIX/include] - --oldincludedir=DIR C header files for non-gcc [/usr/include] - --infodir=DIR info documentation [PREFIX/info] - --mandir=DIR man documentation [PREFIX/man] + --bindir=DIR user executables [EPREFIX/bin] + --sbindir=DIR system admin executables [EPREFIX/sbin] + --libexecdir=DIR program executables [EPREFIX/libexec] + --sysconfdir=DIR read-only single-machine data [PREFIX/etc] + --sharedstatedir=DIR modifiable architecture-independent data [PREFIX/com] + --localstatedir=DIR modifiable single-machine data [PREFIX/var] + --libdir=DIR object code libraries [EPREFIX/lib] + --includedir=DIR C header files [PREFIX/include] + --oldincludedir=DIR C header files for non-gcc [/usr/include] + --datarootdir=DIR read-only arch.-independent data root [PREFIX/share] + --datadir=DIR read-only architecture-independent data [DATAROOTDIR] + --infodir=DIR info documentation [DATAROOTDIR/info] + --localedir=DIR locale-dependent data [DATAROOTDIR/locale] + --mandir=DIR man documentation [DATAROOTDIR/man] + --docdir=DIR documentation root [DATAROOTDIR/doc/PACKAGE] + --htmldir=DIR html documentation [DOCDIR] + --dvidir=DIR dvi documentation [DOCDIR] + --pdfdir=DIR pdf documentation [DOCDIR] + --psdir=DIR ps documentation [DOCDIR] _ACEOF cat <<\_ACEOF @@ -838,6 +1385,7 @@ if test -n "$ac_init_help"; then cat <<\_ACEOF Optional Features: + --disable-option-checking ignore unrecognized --enable/--with options --disable-FEATURE do not include FEATURE (same as --enable-FEATURE=no) --enable-FEATURE[=ARG] include FEATURE [ARG=yes] --enable-threads build with threads (default: on) @@ -859,167 +1407,391 @@ Some influential environment variables: CFLAGS C compiler flags LDFLAGS linker flags, e.g. -L if you have libraries in a nonstandard directory - CPPFLAGS C/C++ preprocessor flags, e.g. -I if you have - headers in a nonstandard directory + LIBS libraries to pass to the linker, e.g. -l + CPPFLAGS (Objective) C/C++ preprocessor flags, e.g. -I if + you have headers in a nonstandard directory CPP C preprocessor Use these variables to override the choices made by `configure' or to help it to find libraries and programs with nonstandard names/locations. +Report bugs to the package provider. _ACEOF +ac_status=$? fi if test "$ac_init_help" = "recursive"; then # If there are subdirs, report their specific --help. - ac_popdir=`pwd` for ac_dir in : $ac_subdirs_all; do test "x$ac_dir" = x: && continue - test -d $ac_dir || continue + test -d "$ac_dir" || + { cd "$srcdir" && ac_pwd=`pwd` && srcdir=. && test -d "$ac_dir"; } || + continue ac_builddir=. -if test "$ac_dir" != .; then - ac_dir_suffix=/`echo "$ac_dir" | sed 's,^\.[\\/],,'` - # A "../" for each directory in $ac_dir_suffix. - ac_top_builddir=`echo "$ac_dir_suffix" | sed 's,/[^\\/]*,../,g'` -else - ac_dir_suffix= ac_top_builddir= -fi +case "$ac_dir" in +.) ac_dir_suffix= ac_top_builddir_sub=. ac_top_build_prefix= ;; +*) + ac_dir_suffix=/`$as_echo "$ac_dir" | sed 's|^\.[\\/]||'` + # A ".." for each directory in $ac_dir_suffix. + ac_top_builddir_sub=`$as_echo "$ac_dir_suffix" | sed 's|/[^\\/]*|/..|g;s|/||'` + case $ac_top_builddir_sub in + "") ac_top_builddir_sub=. ac_top_build_prefix= ;; + *) ac_top_build_prefix=$ac_top_builddir_sub/ ;; + esac ;; +esac +ac_abs_top_builddir=$ac_pwd +ac_abs_builddir=$ac_pwd$ac_dir_suffix +# for backward compatibility: +ac_top_builddir=$ac_top_build_prefix case $srcdir in - .) # No --srcdir option. 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Invocation command line was - $ $0 $@ +## ------------------------ ## +## Autoconf initialization. ## +## ------------------------ ## -_ACEOF +# ac_fn_c_try_compile LINENO +# -------------------------- +# Try to compile conftest.$ac_ext, and return whether this succeeded. +ac_fn_c_try_compile () { -cat <<_ASUNAME -## --------- ## -## Platform. ## -## --------- ## + as_lineno=${as_lineno-"$1"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + rm -f conftest.$ac_objext + if { { ac_try="$ac_compile" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_compile") 2>conftest.err + ac_status=$? + if test -s conftest.err; then + grep -v '^ *+' conftest.err >conftest.er1 + cat conftest.er1 >&5 + mv -f conftest.er1 conftest.err + fi + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; } && { + test -z "$ac_c_werror_flag" || + test ! -s conftest.err + } && test -s conftest.$ac_objext; then : + ac_retval=0 +else + $as_echo "$as_me: failed program was:" >&5 +sed 's/^/| /' conftest.$ac_ext >&5 -hostname = `(hostname || uname -n) 2>/dev/null | sed 1q` -uname -m = `(uname -m) 2>/dev/null || echo unknown` -uname -r = `(uname -r) 2>/dev/null || echo unknown` -uname -s = `(uname -s) 2>/dev/null || echo unknown` -uname -v = `(uname -v) 2>/dev/null || echo unknown` + ac_retval=1 +fi + eval $as_lineno_stack; ${as_lineno_stack:+:} unset as_lineno + as_fn_set_status $ac_retval -/usr/bin/uname -p = `(/usr/bin/uname -p) 2>/dev/null || echo unknown` -/bin/uname -X = `(/bin/uname -X) 2>/dev/null || echo unknown` +} # ac_fn_c_try_compile -/bin/arch = `(/bin/arch) 2>/dev/null || echo unknown` -/usr/bin/arch -k = `(/usr/bin/arch -k) 2>/dev/null || echo unknown` -/usr/convex/getsysinfo = `(/usr/convex/getsysinfo) 2>/dev/null || echo unknown` -hostinfo = `(hostinfo) 2>/dev/null || echo unknown` -/bin/machine = `(/bin/machine) 2>/dev/null || echo unknown` -/usr/bin/oslevel = `(/usr/bin/oslevel) 2>/dev/null || echo unknown` -/bin/universe = `(/bin/universe) 2>/dev/null || echo unknown` +# ac_fn_c_try_cpp LINENO +# ---------------------- +# Try to preprocess conftest.$ac_ext, and return whether this succeeded. +ac_fn_c_try_cpp () +{ + as_lineno=${as_lineno-"$1"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + if { { ac_try="$ac_cpp conftest.$ac_ext" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_cpp conftest.$ac_ext") 2>conftest.err + ac_status=$? + if test -s conftest.err; then + grep -v '^ *+' conftest.err >conftest.er1 + cat conftest.er1 >&5 + mv -f conftest.er1 conftest.err + fi + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; } > conftest.i && { + test -z "$ac_c_preproc_warn_flag$ac_c_werror_flag" || + test ! -s conftest.err + }; then : + ac_retval=0 +else + $as_echo "$as_me: failed program was:" >&5 +sed 's/^/| /' conftest.$ac_ext >&5 -_ASUNAME + ac_retval=1 +fi + eval $as_lineno_stack; ${as_lineno_stack:+:} unset as_lineno + as_fn_set_status $ac_retval -as_save_IFS=$IFS; IFS=$PATH_SEPARATOR -for as_dir in $PATH -do - IFS=$as_save_IFS - test -z "$as_dir" && as_dir=. - echo "PATH: $as_dir" -done +} # ac_fn_c_try_cpp -} >&5 +# ac_fn_c_try_run LINENO +# ---------------------- +# Try to link conftest.$ac_ext, and return whether this succeeded. Assumes +# that executables *can* be run. +ac_fn_c_try_run () +{ + as_lineno=${as_lineno-"$1"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + if { { ac_try="$ac_link" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_link") 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; } && { ac_try='./conftest$ac_exeext' + { { case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_try") 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; }; }; then : + ac_retval=0 +else + $as_echo "$as_me: program exited with status $ac_status" >&5 + $as_echo "$as_me: failed program was:" >&5 +sed 's/^/| /' conftest.$ac_ext >&5 -cat >&5 <<_ACEOF + ac_retval=$ac_status +fi + rm -rf conftest.dSYM conftest_ipa8_conftest.oo + eval $as_lineno_stack; ${as_lineno_stack:+:} unset as_lineno + as_fn_set_status $ac_retval +} # ac_fn_c_try_run -## ----------- ## -## Core tests. ## -## ----------- ## +# ac_fn_c_check_decl LINENO SYMBOL VAR INCLUDES +# --------------------------------------------- +# Tests whether SYMBOL is declared in INCLUDES, setting cache variable VAR +# accordingly. +ac_fn_c_check_decl () +{ + as_lineno=${as_lineno-"$1"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + as_decl_name=`echo $2|sed 's/ *(.*//'` + as_decl_use=`echo $2|sed -e 's/(/((/' -e 's/)/) 0&/' -e 's/,/) 0& (/g'` + { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether $as_decl_name is declared" >&5 +$as_echo_n "checking whether $as_decl_name is declared... " >&6; } +if eval \${$3+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +$4 +int +main () +{ +#ifndef $as_decl_name +#ifdef __cplusplus + (void) $as_decl_use; +#else + (void) $as_decl_name; +#endif +#endif + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + eval "$3=yes" +else + eval "$3=no" +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +eval ac_res=\$$3 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_res" >&5 +$as_echo "$ac_res" >&6; } + eval $as_lineno_stack; ${as_lineno_stack:+:} unset as_lineno + +} # ac_fn_c_check_decl + +# ac_fn_c_check_header_compile LINENO HEADER VAR INCLUDES +# ------------------------------------------------------- +# Tests whether HEADER exists and can be compiled using the include files in +# INCLUDES, setting the cache variable VAR accordingly. +ac_fn_c_check_header_compile () +{ + as_lineno=${as_lineno-"$1"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $2" >&5 +$as_echo_n "checking for $2... " >&6; } +if eval \${$3+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +$4 +#include <$2> +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + eval "$3=yes" +else + eval "$3=no" +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +eval ac_res=\$$3 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_res" >&5 +$as_echo "$ac_res" >&6; } + eval $as_lineno_stack; ${as_lineno_stack:+:} unset as_lineno + +} # ac_fn_c_check_header_compile + +# ac_fn_c_check_type LINENO TYPE VAR INCLUDES +# ------------------------------------------- +# Tests whether TYPE exists after having included INCLUDES, setting cache +# variable VAR accordingly. +ac_fn_c_check_type () +{ + as_lineno=${as_lineno-"$1"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $2" >&5 +$as_echo_n "checking for $2... " >&6; } +if eval \${$3+:} false; then : + $as_echo_n "(cached) " >&6 +else + eval "$3=no" + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +$4 +int +main () +{ +if (sizeof ($2)) + return 0; + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +$4 +int +main () +{ +if (sizeof (($2))) + return 0; + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + +else + eval "$3=yes" +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +eval ac_res=\$$3 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_res" >&5 +$as_echo "$ac_res" >&6; } + eval $as_lineno_stack; ${as_lineno_stack:+:} unset as_lineno + +} # ac_fn_c_check_type +cat >config.log <<_ACEOF +This file contains any messages produced by compilers while +running configure, to aid debugging if configure makes a mistake. + +It was created by $as_me, which was +generated by GNU Autoconf 2.69. Invocation command line was + + $ $0 $@ + +_ACEOF +exec 5>>config.log +{ +cat <<_ASUNAME +## --------- ## +## Platform. ## +## --------- ## + +hostname = `(hostname || uname -n) 2>/dev/null | sed 1q` +uname -m = `(uname -m) 2>/dev/null || echo unknown` +uname -r = `(uname -r) 2>/dev/null || echo unknown` +uname -s = `(uname -s) 2>/dev/null || echo unknown` +uname -v = `(uname -v) 2>/dev/null || echo unknown` + +/usr/bin/uname -p = `(/usr/bin/uname -p) 2>/dev/null || echo unknown` +/bin/uname -X = `(/bin/uname -X) 2>/dev/null || echo unknown` + +/bin/arch = `(/bin/arch) 2>/dev/null || echo unknown` +/usr/bin/arch -k = `(/usr/bin/arch -k) 2>/dev/null || echo unknown` +/usr/convex/getsysinfo = `(/usr/convex/getsysinfo) 2>/dev/null || echo unknown` +/usr/bin/hostinfo = `(/usr/bin/hostinfo) 2>/dev/null || echo unknown` +/bin/machine = `(/bin/machine) 2>/dev/null || echo unknown` +/usr/bin/oslevel = `(/usr/bin/oslevel) 2>/dev/null || echo unknown` +/bin/universe = `(/bin/universe) 2>/dev/null || echo unknown` + +_ASUNAME + +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + $as_echo "PATH: $as_dir" + done +IFS=$as_save_IFS + +} >&5 + +cat >&5 <<_ACEOF + + +## ----------- ## +## Core tests. ## +## ----------- ## _ACEOF @@ -1032,7 +1804,6 @@ _ACEOF ac_configure_args= ac_configure_args0= ac_configure_args1= -ac_sep= ac_must_keep_next=false for ac_pass in 1 2 do @@ -1043,13 +1814,13 @@ do -q | -quiet | --quiet | --quie | --qui | --qu | --q \ | -silent | --silent | --silen | --sile | --sil) continue ;; - *" "*|*" "*|*[\[\]\~\#\$\^\&\*\(\)\{\}\\\|\;\<\>\?\"\']*) - ac_arg=`echo "$ac_arg" | sed "s/'/'\\\\\\\\''/g"` ;; + *\'*) + ac_arg=`$as_echo "$ac_arg" | sed "s/'/'\\\\\\\\''/g"` ;; esac case $ac_pass in - 1) ac_configure_args0="$ac_configure_args0 '$ac_arg'" ;; + 1) as_fn_append ac_configure_args0 " '$ac_arg'" ;; 2) - ac_configure_args1="$ac_configure_args1 '$ac_arg'" + as_fn_append ac_configure_args1 " '$ac_arg'" if test $ac_must_keep_next = true; then ac_must_keep_next=false # Got value, back to normal. else @@ -1065,104 +1836,115 @@ do -* ) ac_must_keep_next=true ;; esac fi - ac_configure_args="$ac_configure_args$ac_sep'$ac_arg'" - # Get rid of the leading space. - ac_sep=" " + as_fn_append ac_configure_args " '$ac_arg'" ;; esac done done -$as_unset ac_configure_args0 || test "${ac_configure_args0+set}" != set || { ac_configure_args0=; export ac_configure_args0; } -$as_unset ac_configure_args1 || test "${ac_configure_args1+set}" != set || { ac_configure_args1=; export ac_configure_args1; } +{ ac_configure_args0=; unset ac_configure_args0;} +{ ac_configure_args1=; unset ac_configure_args1;} # When interrupted or exit'd, cleanup temporary files, and complete # config.log. We remove comments because anyway the quotes in there # would cause problems or look ugly. -# WARNING: Be sure not to use single quotes in there, as some shells, -# such as our DU 5.0 friend, will then `close' the trap. +# WARNING: Use '\'' to represent an apostrophe within the trap. +# WARNING: Do not start the trap code with a newline, due to a FreeBSD 4.0 bug. trap 'exit_status=$? # Save into config.log some information that might help in debugging. { echo - cat <<\_ASBOX -## ---------------- ## + $as_echo "## ---------------- ## ## Cache variables. ## -## ---------------- ## -_ASBOX +## ---------------- ##" echo # The following way of writing the cache mishandles newlines in values, -{ +( + for ac_var in `(set) 2>&1 | sed -n '\''s/^\([a-zA-Z_][a-zA-Z0-9_]*\)=.*/\1/p'\''`; do + eval ac_val=\$$ac_var + case $ac_val in #( + *${as_nl}*) + case $ac_var in #( + *_cv_*) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: cache variable $ac_var contains a newline" >&5 +$as_echo "$as_me: WARNING: cache variable $ac_var contains a newline" >&2;} ;; + esac + case $ac_var in #( + _ | IFS | as_nl) ;; #( + BASH_ARGV | BASH_SOURCE) eval $ac_var= ;; #( + *) { eval $ac_var=; unset $ac_var;} ;; + esac ;; + esac + done (set) 2>&1 | - case `(ac_space='"'"' '"'"'; set | grep ac_space) 2>&1` in - *ac_space=\ *) + case $as_nl`(ac_space='\'' '\''; set) 2>&1` in #( + *${as_nl}ac_space=\ *) sed -n \ - "s/'"'"'/'"'"'\\\\'"'"''"'"'/g; - s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1='"'"'\\2'"'"'/p" - ;; + "s/'\''/'\''\\\\'\'''\''/g; + s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1='\''\\2'\''/p" + ;; #( *) - sed -n \ - "s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1=\\2/p" + sed -n "/^[_$as_cr_alnum]*_cv_[_$as_cr_alnum]*=/p" ;; - esac; -} + esac | + sort +) echo - cat <<\_ASBOX -## ----------------- ## + $as_echo "## ----------------- ## ## Output variables. ## -## ----------------- ## -_ASBOX +## ----------------- ##" echo for ac_var in $ac_subst_vars do - eval ac_val=$`echo $ac_var` - echo "$ac_var='"'"'$ac_val'"'"'" + eval ac_val=\$$ac_var + case $ac_val in + *\'\''*) ac_val=`$as_echo "$ac_val" | sed "s/'\''/'\''\\\\\\\\'\'''\''/g"`;; + esac + $as_echo "$ac_var='\''$ac_val'\''" done | sort echo if test -n "$ac_subst_files"; then - cat <<\_ASBOX -## ------------- ## -## Output files. ## -## ------------- ## -_ASBOX + $as_echo "## ------------------- ## +## File substitutions. ## +## ------------------- ##" echo for ac_var in $ac_subst_files do - eval ac_val=$`echo $ac_var` - echo "$ac_var='"'"'$ac_val'"'"'" + eval ac_val=\$$ac_var + case $ac_val in + *\'\''*) ac_val=`$as_echo "$ac_val" | sed "s/'\''/'\''\\\\\\\\'\'''\''/g"`;; + esac + $as_echo "$ac_var='\''$ac_val'\''" done | sort echo fi if test -s confdefs.h; then - cat <<\_ASBOX -## ----------- ## + $as_echo "## ----------- ## ## confdefs.h. ## -## ----------- ## -_ASBOX +## ----------- ##" echo - sed "/^$/d" confdefs.h | sort + cat confdefs.h echo fi test "$ac_signal" != 0 && - echo "$as_me: caught signal $ac_signal" - echo "$as_me: exit $exit_status" + $as_echo "$as_me: caught signal $ac_signal" + $as_echo "$as_me: exit $exit_status" } >&5 - rm -f core *.core && - rm -rf conftest* confdefs* conf$$* $ac_clean_files && + rm -f core *.core core.conftest.* && + rm -f -r conftest* confdefs* conf$$* $ac_clean_files && exit $exit_status - ' 0 +' 0 for ac_signal in 1 2 13 15; do - trap 'ac_signal='$ac_signal'; { (exit 1); exit 1; }' $ac_signal + trap 'ac_signal='$ac_signal'; as_fn_exit 1' $ac_signal done ac_signal=0 # confdefs.h avoids OS command line length limits that DEFS can exceed. -rm -rf conftest* confdefs.h -# AIX cpp loses on an empty file, so make sure it contains at least a newline. -echo >confdefs.h +rm -f -r conftest* confdefs.h + +$as_echo "/* confdefs.h */" > confdefs.h # Predefined preprocessor variables. @@ -1170,112 +1952,137 @@ cat >>confdefs.h <<_ACEOF #define PACKAGE_NAME "$PACKAGE_NAME" _ACEOF - cat >>confdefs.h <<_ACEOF #define PACKAGE_TARNAME "$PACKAGE_TARNAME" _ACEOF - cat >>confdefs.h <<_ACEOF #define PACKAGE_VERSION "$PACKAGE_VERSION" _ACEOF - cat >>confdefs.h <<_ACEOF #define PACKAGE_STRING "$PACKAGE_STRING" _ACEOF - cat >>confdefs.h <<_ACEOF #define PACKAGE_BUGREPORT "$PACKAGE_BUGREPORT" _ACEOF +cat >>confdefs.h <<_ACEOF +#define PACKAGE_URL "$PACKAGE_URL" +_ACEOF + # Let the site file select an alternate cache file if it wants to. -# Prefer explicitly selected file to automatically selected ones. -if test -z "$CONFIG_SITE"; then - if test "x$prefix" != xNONE; then - CONFIG_SITE="$prefix/share/config.site $prefix/etc/config.site" - else - CONFIG_SITE="$ac_default_prefix/share/config.site $ac_default_prefix/etc/config.site" - fi +# Prefer an explicitly selected file to automatically selected ones. +ac_site_file1=NONE +ac_site_file2=NONE +if test -n "$CONFIG_SITE"; then + # We do not want a PATH search for config.site. + case $CONFIG_SITE in #(( + -*) ac_site_file1=./$CONFIG_SITE;; + */*) ac_site_file1=$CONFIG_SITE;; + *) ac_site_file1=./$CONFIG_SITE;; + esac +elif test "x$prefix" != xNONE; then + ac_site_file1=$prefix/share/config.site + ac_site_file2=$prefix/etc/config.site +else + ac_site_file1=$ac_default_prefix/share/config.site + ac_site_file2=$ac_default_prefix/etc/config.site fi -for ac_site_file in $CONFIG_SITE; do - if test -r "$ac_site_file"; then - { echo "$as_me:$LINENO: loading site script $ac_site_file" >&5 -echo "$as_me: loading site script $ac_site_file" >&6;} +for ac_site_file in "$ac_site_file1" "$ac_site_file2" +do + test "x$ac_site_file" = xNONE && continue + if test /dev/null != "$ac_site_file" && test -r "$ac_site_file"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: loading site script $ac_site_file" >&5 +$as_echo "$as_me: loading site script $ac_site_file" >&6;} sed 's/^/| /' "$ac_site_file" >&5 - . "$ac_site_file" + . "$ac_site_file" \ + || { { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error $? "failed to load site script $ac_site_file +See \`config.log' for more details" "$LINENO" 5; } fi done if test -r "$cache_file"; then - # Some versions of bash will fail to source /dev/null (special - # files actually), so we avoid doing that. - if test -f "$cache_file"; then - { echo "$as_me:$LINENO: loading cache $cache_file" >&5 -echo "$as_me: loading cache $cache_file" >&6;} + # Some versions of bash will fail to source /dev/null (special files + # actually), so we avoid doing that. DJGPP emulates it as a regular file. + if test /dev/null != "$cache_file" && test -f "$cache_file"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: loading cache $cache_file" >&5 +$as_echo "$as_me: loading cache $cache_file" >&6;} case $cache_file in - [\\/]* | ?:[\\/]* ) . $cache_file;; - *) . ./$cache_file;; + [\\/]* | ?:[\\/]* ) . "$cache_file";; + *) . "./$cache_file";; esac fi else - { echo "$as_me:$LINENO: creating cache $cache_file" >&5 -echo "$as_me: creating cache $cache_file" >&6;} + { $as_echo "$as_me:${as_lineno-$LINENO}: creating cache $cache_file" >&5 +$as_echo "$as_me: creating cache $cache_file" >&6;} >$cache_file fi # Check that the precious variables saved in the cache have kept the same # value. ac_cache_corrupted=false -for ac_var in `(set) 2>&1 | - sed -n 's/^ac_env_\([a-zA-Z_0-9]*\)_set=.*/\1/p'`; do +for ac_var in $ac_precious_vars; do eval ac_old_set=\$ac_cv_env_${ac_var}_set eval ac_new_set=\$ac_env_${ac_var}_set - eval ac_old_val="\$ac_cv_env_${ac_var}_value" - eval ac_new_val="\$ac_env_${ac_var}_value" + eval ac_old_val=\$ac_cv_env_${ac_var}_value + eval ac_new_val=\$ac_env_${ac_var}_value case $ac_old_set,$ac_new_set in set,) - { echo "$as_me:$LINENO: error: \`$ac_var' was set to \`$ac_old_val' in the previous run" >&5 -echo "$as_me: error: \`$ac_var' was set to \`$ac_old_val' in the previous run" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: error: \`$ac_var' was set to \`$ac_old_val' in the previous run" >&5 +$as_echo "$as_me: error: \`$ac_var' was set to \`$ac_old_val' in the previous run" >&2;} ac_cache_corrupted=: ;; ,set) - { echo "$as_me:$LINENO: error: \`$ac_var' was not set in the previous run" >&5 -echo "$as_me: error: \`$ac_var' was not set in the previous run" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: error: \`$ac_var' was not set in the previous run" >&5 +$as_echo "$as_me: error: \`$ac_var' was not set in the previous run" >&2;} ac_cache_corrupted=: ;; ,);; *) if test "x$ac_old_val" != "x$ac_new_val"; then - { echo "$as_me:$LINENO: error: \`$ac_var' has changed since the previous run:" >&5 -echo "$as_me: error: \`$ac_var' has changed since the previous run:" >&2;} - { echo "$as_me:$LINENO: former value: $ac_old_val" >&5 -echo "$as_me: former value: $ac_old_val" >&2;} - { echo "$as_me:$LINENO: current value: $ac_new_val" >&5 -echo "$as_me: current value: $ac_new_val" >&2;} - ac_cache_corrupted=: + # differences in whitespace do not lead to failure. + ac_old_val_w=`echo x $ac_old_val` + ac_new_val_w=`echo x $ac_new_val` + if test "$ac_old_val_w" != "$ac_new_val_w"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: error: \`$ac_var' has changed since the previous run:" >&5 +$as_echo "$as_me: error: \`$ac_var' has changed since the previous run:" >&2;} + ac_cache_corrupted=: + else + { $as_echo "$as_me:${as_lineno-$LINENO}: warning: ignoring whitespace changes in \`$ac_var' since the previous run:" >&5 +$as_echo "$as_me: warning: ignoring whitespace changes in \`$ac_var' since the previous run:" >&2;} + eval $ac_var=\$ac_old_val + fi + { $as_echo "$as_me:${as_lineno-$LINENO}: former value: \`$ac_old_val'" >&5 +$as_echo "$as_me: former value: \`$ac_old_val'" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: current value: \`$ac_new_val'" >&5 +$as_echo "$as_me: current value: \`$ac_new_val'" >&2;} fi;; esac # Pass precious variables to config.status. if test "$ac_new_set" = set; then case $ac_new_val in - *" "*|*" "*|*[\[\]\~\#\$\^\&\*\(\)\{\}\\\|\;\<\>\?\"\']*) - ac_arg=$ac_var=`echo "$ac_new_val" | sed "s/'/'\\\\\\\\''/g"` ;; + *\'*) ac_arg=$ac_var=`$as_echo "$ac_new_val" | sed "s/'/'\\\\\\\\''/g"` ;; *) ac_arg=$ac_var=$ac_new_val ;; esac case " $ac_configure_args " in *" '$ac_arg' "*) ;; # Avoid dups. Use of quotes ensures accuracy. - *) ac_configure_args="$ac_configure_args '$ac_arg'" ;; + *) as_fn_append ac_configure_args " '$ac_arg'" ;; esac fi done if $ac_cache_corrupted; then - { echo "$as_me:$LINENO: error: changes in the environment can compromise the build" >&5 -echo "$as_me: error: changes in the environment can compromise the build" >&2;} - { { echo "$as_me:$LINENO: error: run \`make distclean' and/or \`rm $cache_file' and start over" >&5 -echo "$as_me: error: run \`make distclean' and/or \`rm $cache_file' and start over" >&2;} - { (exit 1); exit 1; }; } + { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: error: changes in the environment can compromise the build" >&5 +$as_echo "$as_me: error: changes in the environment can compromise the build" >&2;} + as_fn_error $? "run \`make distclean' and/or \`rm $cache_file' and start over" "$LINENO" 5 fi +## -------------------- ## +## Main body of script. ## +## -------------------- ## ac_ext=c ac_cpp='$CPP $CPPFLAGS' @@ -1286,32 +2093,15 @@ ac_compiler_gnu=$ac_cv_c_compiler_gnu - - - - - - - - - - - - - - - - - # The following define is needed when building with Cygwin since newer # versions of autoconf incorrectly set SHELL to /bin/bash instead of # /bin/sh. The bash shell seems to suffer from some strange failures. SHELL=/bin/sh -TCL_VERSION=8.6 +TCL_VERSION=8.7 TCL_MAJOR_VERSION=8 -TCL_MINOR_VERSION=6 -TCL_PATCH_LEVEL=".5" +TCL_MINOR_VERSION=7 +TCL_PATCH_LEVEL="a0" VER=$TCL_MAJOR_VERSION$TCL_MINOR_VERSION TCL_DDE_VERSION=1.4 @@ -1362,10 +2152,10 @@ ac_compiler_gnu=$ac_cv_c_compiler_gnu if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}gcc", so it can be a program name with args. set dummy ${ac_tool_prefix}gcc; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_CC+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_CC+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$CC"; then ac_cv_prog_CC="$CC" # Let the user override the test. @@ -1375,35 +2165,37 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_CC="${ac_tool_prefix}gcc" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi CC=$ac_cv_prog_CC if test -n "$CC"; then - echo "$as_me:$LINENO: result: $CC" >&5 -echo "${ECHO_T}$CC" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $CC" >&5 +$as_echo "$CC" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi + fi if test -z "$ac_cv_prog_CC"; then ac_ct_CC=$CC # Extract the first word of "gcc", so it can be a program name with args. set dummy gcc; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_ac_ct_CC+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_CC+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_CC"; then ac_cv_prog_ac_ct_CC="$ac_ct_CC" # Let the user override the test. @@ -1413,39 +2205,50 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_CC="gcc" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi ac_ct_CC=$ac_cv_prog_ac_ct_CC if test -n "$ac_ct_CC"; then - echo "$as_me:$LINENO: result: $ac_ct_CC" >&5 -echo "${ECHO_T}$ac_ct_CC" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_CC" >&5 +$as_echo "$ac_ct_CC" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi - CC=$ac_ct_CC + if test "x$ac_ct_CC" = x; then + CC="" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + CC=$ac_ct_CC + fi else CC="$ac_cv_prog_CC" fi if test -z "$CC"; then - if test -n "$ac_tool_prefix"; then - # Extract the first word of "${ac_tool_prefix}cc", so it can be a program name with args. + if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}cc", so it can be a program name with args. set dummy ${ac_tool_prefix}cc; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_CC+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_CC+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$CC"; then ac_cv_prog_CC="$CC" # Let the user override the test. @@ -1455,77 +2258,37 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_CC="${ac_tool_prefix}cc" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi CC=$ac_cv_prog_CC if test -n "$CC"; then - echo "$as_me:$LINENO: result: $CC" >&5 -echo "${ECHO_T}$CC" >&6 -else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 -fi - -fi -if test -z "$ac_cv_prog_CC"; then - ac_ct_CC=$CC - # Extract the first word of "cc", so it can be a program name with args. -set dummy cc; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_ac_ct_CC+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - if test -n "$ac_ct_CC"; then - ac_cv_prog_ac_ct_CC="$ac_ct_CC" # Let the user override the test. -else -as_save_IFS=$IFS; IFS=$PATH_SEPARATOR -for as_dir in $PATH -do - IFS=$as_save_IFS - test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then - ac_cv_prog_ac_ct_CC="cc" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 - break 2 - fi -done -done - -fi -fi -ac_ct_CC=$ac_cv_prog_ac_ct_CC -if test -n "$ac_ct_CC"; then - echo "$as_me:$LINENO: result: $ac_ct_CC" >&5 -echo "${ECHO_T}$ac_ct_CC" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $CC" >&5 +$as_echo "$CC" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi - CC=$ac_ct_CC -else - CC="$ac_cv_prog_CC" -fi + fi fi if test -z "$CC"; then # Extract the first word of "cc", so it can be a program name with args. set dummy cc; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_CC+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_CC+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$CC"; then ac_cv_prog_CC="$CC" # Let the user override the test. @@ -1536,18 +2299,19 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then if test "$as_dir/$ac_word$ac_exec_ext" = "/usr/ucb/cc"; then ac_prog_rejected=yes continue fi ac_cv_prog_CC="cc" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS if test $ac_prog_rejected = yes; then # We found a bogon in the path, so make sure we never use it. @@ -1565,24 +2329,25 @@ fi fi CC=$ac_cv_prog_CC if test -n "$CC"; then - echo "$as_me:$LINENO: result: $CC" >&5 -echo "${ECHO_T}$CC" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $CC" >&5 +$as_echo "$CC" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi + fi if test -z "$CC"; then if test -n "$ac_tool_prefix"; then - for ac_prog in cl + for ac_prog in cl.exe do # Extract the first word of "$ac_tool_prefix$ac_prog", so it can be a program name with args. set dummy $ac_tool_prefix$ac_prog; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_CC+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_CC+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$CC"; then ac_cv_prog_CC="$CC" # Let the user override the test. @@ -1592,39 +2357,41 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_CC="$ac_tool_prefix$ac_prog" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi CC=$ac_cv_prog_CC if test -n "$CC"; then - echo "$as_me:$LINENO: result: $CC" >&5 -echo "${ECHO_T}$CC" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $CC" >&5 +$as_echo "$CC" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi + test -n "$CC" && break done fi if test -z "$CC"; then ac_ct_CC=$CC - for ac_prog in cl + for ac_prog in cl.exe do # Extract the first word of "$ac_prog", so it can be a program name with args. set dummy $ac_prog; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_ac_ct_CC+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_CC+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_CC"; then ac_cv_prog_ac_ct_CC="$ac_ct_CC" # Let the user override the test. @@ -1634,66 +2401,78 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_CC="$ac_prog" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi ac_ct_CC=$ac_cv_prog_ac_ct_CC if test -n "$ac_ct_CC"; then - echo "$as_me:$LINENO: result: $ac_ct_CC" >&5 -echo "${ECHO_T}$ac_ct_CC" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_CC" >&5 +$as_echo "$ac_ct_CC" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi + test -n "$ac_ct_CC" && break done - CC=$ac_ct_CC + if test "x$ac_ct_CC" = x; then + CC="" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + CC=$ac_ct_CC + fi fi fi -test -z "$CC" && { { echo "$as_me:$LINENO: error: no acceptable C compiler found in \$PATH -See \`config.log' for more details." >&5 -echo "$as_me: error: no acceptable C compiler found in \$PATH -See \`config.log' for more details." >&2;} - { (exit 1); exit 1; }; } +test -z "$CC" && { { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error $? "no acceptable C compiler found in \$PATH +See \`config.log' for more details" "$LINENO" 5; } # Provide some information about the compiler. -echo "$as_me:$LINENO:" \ - "checking for C compiler version" >&5 -ac_compiler=`set X $ac_compile; echo $2` -{ (eval echo "$as_me:$LINENO: \"$ac_compiler --version &5\"") >&5 - (eval $ac_compiler --version &5) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } -{ (eval echo "$as_me:$LINENO: \"$ac_compiler -v &5\"") >&5 - (eval $ac_compiler -v &5) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } -{ (eval echo "$as_me:$LINENO: \"$ac_compiler -V &5\"") >&5 - (eval $ac_compiler -V &5) 2>&5 +$as_echo "$as_me:${as_lineno-$LINENO}: checking for C compiler version" >&5 +set X $ac_compile +ac_compiler=$2 +for ac_option in --version -v -V -qversion; do + { { ac_try="$ac_compiler $ac_option >&5" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_compiler $ac_option >&5") 2>conftest.err ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } + if test -s conftest.err; then + sed '10a\ +... rest of stderr output deleted ... + 10q' conftest.err >conftest.er1 + cat conftest.er1 >&5 + fi + rm -f conftest.er1 conftest.err + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; } +done -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -1705,112 +2484,108 @@ main () } _ACEOF ac_clean_files_save=$ac_clean_files -ac_clean_files="$ac_clean_files a.out a.exe b.out" +ac_clean_files="$ac_clean_files a.out a.out.dSYM a.exe b.out" # Try to create an executable without -o first, disregard a.out. # It will help us diagnose broken compilers, and finding out an intuition # of exeext. -echo "$as_me:$LINENO: checking for C compiler default output file name" >&5 -echo $ECHO_N "checking for C compiler default output file name... $ECHO_C" >&6 -ac_link_default=`echo "$ac_link" | sed 's/ -o *conftest[^ ]*//'` -if { (eval echo "$as_me:$LINENO: \"$ac_link_default\"") >&5 - (eval $ac_link_default) 2>&5 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether the C compiler works" >&5 +$as_echo_n "checking whether the C compiler works... " >&6; } +ac_link_default=`$as_echo "$ac_link" | sed 's/ -o *conftest[^ ]*//'` + +# The possible output files: +ac_files="a.out conftest.exe conftest a.exe a_out.exe b.out conftest.*" + +ac_rmfiles= +for ac_file in $ac_files +do + case $ac_file in + *.$ac_ext | *.xcoff | *.tds | *.d | *.pdb | *.xSYM | *.bb | *.bbg | *.map | *.inf | *.dSYM | *.o | *.obj ) ;; + * ) ac_rmfiles="$ac_rmfiles $ac_file";; + esac +done +rm -f $ac_rmfiles + +if { { ac_try="$ac_link_default" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_link_default") 2>&5 ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; then - # Find the output, starting from the most likely. This scheme is -# not robust to junk in `.', hence go to wildcards (a.*) only as a last -# resort. - -# Be careful to initialize this variable, since it used to be cached. -# Otherwise an old cache value of `no' led to `EXEEXT = no' in a Makefile. -ac_cv_exeext= -# b.out is created by i960 compilers. -for ac_file in a_out.exe a.exe conftest.exe a.out conftest a.* conftest.* b.out + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; }; then : + # Autoconf-2.13 could set the ac_cv_exeext variable to `no'. +# So ignore a value of `no', otherwise this would lead to `EXEEXT = no' +# in a Makefile. We should not override ac_cv_exeext if it was cached, +# so that the user can short-circuit this test for compilers unknown to +# Autoconf. +for ac_file in $ac_files '' do test -f "$ac_file" || continue case $ac_file in - *.$ac_ext | *.xcoff | *.tds | *.d | *.pdb | *.xSYM | *.bb | *.bbg | *.o | *.obj ) - ;; - conftest.$ac_ext ) - # This is the source file. + *.$ac_ext | *.xcoff | *.tds | *.d | *.pdb | *.xSYM | *.bb | *.bbg | *.map | *.inf | *.dSYM | *.o | *.obj ) ;; [ab].out ) # We found the default executable, but exeext='' is most # certainly right. break;; *.* ) - ac_cv_exeext=`expr "$ac_file" : '[^.]*\(\..*\)'` - # FIXME: I believe we export ac_cv_exeext for Libtool, - # but it would be cool to find out if it's true. Does anybody - # maintain Libtool? --akim. - export ac_cv_exeext + if test "${ac_cv_exeext+set}" = set && test "$ac_cv_exeext" != no; + then :; else + ac_cv_exeext=`expr "$ac_file" : '[^.]*\(\..*\)'` + fi + # We set ac_cv_exeext here because the later test for it is not + # safe: cross compilers may not add the suffix if given an `-o' + # argument, so we may need to know it at that point already. + # Even if this section looks crufty: it has the advantage of + # actually working. break;; * ) break;; esac done +test "$ac_cv_exeext" = no && ac_cv_exeext= + else - echo "$as_me: failed program was:" >&5 + ac_file='' +fi +if test -z "$ac_file"; then : + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +$as_echo "$as_me: failed program was:" >&5 sed 's/^/| /' conftest.$ac_ext >&5 -{ { echo "$as_me:$LINENO: error: C compiler cannot create executables -See \`config.log' for more details." >&5 -echo "$as_me: error: C compiler cannot create executables -See \`config.log' for more details." >&2;} - { (exit 77); exit 77; }; } +{ { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error 77 "C compiler cannot create executables +See \`config.log' for more details" "$LINENO" 5; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: yes" >&5 +$as_echo "yes" >&6; } fi - +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for C compiler default output file name" >&5 +$as_echo_n "checking for C compiler default output file name... " >&6; } +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_file" >&5 +$as_echo "$ac_file" >&6; } ac_exeext=$ac_cv_exeext -echo "$as_me:$LINENO: result: $ac_file" >&5 -echo "${ECHO_T}$ac_file" >&6 - -# Check the compiler produces executables we can run. If not, either -# the compiler is broken, or we cross compile. -echo "$as_me:$LINENO: checking whether the C compiler works" >&5 -echo $ECHO_N "checking whether the C compiler works... $ECHO_C" >&6 -# FIXME: These cross compiler hacks should be removed for Autoconf 3.0 -# If not cross compiling, check that we can run a simple program. -if test "$cross_compiling" != yes; then - if { ac_try='./$ac_file' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - cross_compiling=no - else - if test "$cross_compiling" = maybe; then - cross_compiling=yes - else - { { echo "$as_me:$LINENO: error: cannot run C compiled programs. -If you meant to cross compile, use \`--host'. -See \`config.log' for more details." >&5 -echo "$as_me: error: cannot run C compiled programs. -If you meant to cross compile, use \`--host'. -See \`config.log' for more details." >&2;} - { (exit 1); exit 1; }; } - fi - fi -fi -echo "$as_me:$LINENO: result: yes" >&5 -echo "${ECHO_T}yes" >&6 -rm -f a.out a.exe conftest$ac_cv_exeext b.out +rm -f -r a.out a.out.dSYM a.exe conftest$ac_cv_exeext b.out ac_clean_files=$ac_clean_files_save -# Check the compiler produces executables we can run. If not, either -# the compiler is broken, or we cross compile. -echo "$as_me:$LINENO: checking whether we are cross compiling" >&5 -echo $ECHO_N "checking whether we are cross compiling... $ECHO_C" >&6 -echo "$as_me:$LINENO: result: $cross_compiling" >&5 -echo "${ECHO_T}$cross_compiling" >&6 - -echo "$as_me:$LINENO: checking for suffix of executables" >&5 -echo $ECHO_N "checking for suffix of executables... $ECHO_C" >&6 -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>&5 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for suffix of executables" >&5 +$as_echo_n "checking for suffix of executables... " >&6; } +if { { ac_try="$ac_link" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_link") 2>&5 ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; then + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; }; then : # If both `conftest.exe' and `conftest' are `present' (well, observable) # catch `conftest.exe'. 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"cannot compute suffix of executables: cannot compile and link +See \`config.log' for more details" "$LINENO" 5; } fi - -rm -f conftest$ac_cv_exeext -echo "$as_me:$LINENO: result: $ac_cv_exeext" >&5 -echo "${ECHO_T}$ac_cv_exeext" >&6 +rm -f conftest conftest$ac_cv_exeext +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_exeext" >&5 +$as_echo "$ac_cv_exeext" >&6; } rm -f conftest.$ac_ext EXEEXT=$ac_cv_exeext ac_exeext=$EXEEXT -echo "$as_me:$LINENO: checking for suffix of object files" >&5 -echo $ECHO_N "checking for suffix of object files... $ECHO_C" >&6 -if test "${ac_cv_objext+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ - +#include int main () { +FILE *f = fopen ("conftest.out", "w"); + return ferror (f) || fclose (f) != 0; ; return 0; } _ACEOF -rm -f conftest.o conftest.obj -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>&5 +ac_clean_files="$ac_clean_files conftest.out" +# Check that the compiler produces executables we can run. 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"cannot run C compiled programs. +If you meant to cross compile, use \`--host'. +See \`config.log' for more details" "$LINENO" 5; } + fi + fi +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $cross_compiling" >&5 +$as_echo "$cross_compiling" >&6; } + +rm -f conftest.$ac_ext conftest$ac_cv_exeext conftest.out +ac_clean_files=$ac_clean_files_save +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for suffix of object files" >&5 +$as_echo_n "checking for suffix of object files... " >&6; } +if ${ac_cv_objext+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ + + ; + return 0; +} +_ACEOF +rm -f conftest.o conftest.obj +if { { ac_try="$ac_compile" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_compile") 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; }; then : + for ac_file in conftest.o conftest.obj conftest.*; do + test -f "$ac_file" || continue; + case $ac_file in + *.$ac_ext | *.xcoff | *.tds | *.d | *.pdb | *.xSYM | *.bb | *.bbg | *.map | *.inf | *.dSYM ) ;; + *) ac_cv_objext=`expr "$ac_file" : '.*\.\(.*\)'` + break;; + esac +done +else + $as_echo "$as_me: failed program was:" >&5 +sed 's/^/| /' conftest.$ac_ext >&5 + +{ { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error $? "cannot compute suffix of object files: cannot compile +See \`config.log' for more details" "$LINENO" 5; } +fi +rm -f conftest.$ac_cv_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $ac_cv_objext" >&5 -echo "${ECHO_T}$ac_cv_objext" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_objext" >&5 +$as_echo "$ac_cv_objext" >&6; } OBJEXT=$ac_cv_objext ac_objext=$OBJEXT -echo "$as_me:$LINENO: checking whether we are using the GNU C compiler" >&5 -echo $ECHO_N "checking whether we are using the GNU C compiler... $ECHO_C" >&6 -if test "${ac_cv_c_compiler_gnu+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether we are using the GNU C compiler" >&5 +$as_echo_n "checking whether we are using the GNU C compiler... " >&6; } +if ${ac_cv_c_compiler_gnu+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -1913,55 +2741,34 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : ac_compiler_gnu=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_compiler_gnu=no + ac_compiler_gnu=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext ac_cv_c_compiler_gnu=$ac_compiler_gnu fi -echo "$as_me:$LINENO: result: $ac_cv_c_compiler_gnu" >&5 -echo "${ECHO_T}$ac_cv_c_compiler_gnu" >&6 -GCC=`test $ac_compiler_gnu = yes && echo yes` +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_c_compiler_gnu" >&5 +$as_echo "$ac_cv_c_compiler_gnu" >&6; } +if test $ac_compiler_gnu = yes; then + GCC=yes +else + GCC= +fi ac_test_CFLAGS=${CFLAGS+set} ac_save_CFLAGS=$CFLAGS -CFLAGS="-g" -echo "$as_me:$LINENO: checking whether $CC accepts -g" >&5 -echo $ECHO_N "checking whether $CC accepts -g... $ECHO_C" >&6 -if test "${ac_cv_prog_cc_g+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether $CC accepts -g" >&5 +$as_echo_n "checking whether $CC accepts -g... " >&6; } +if ${ac_cv_prog_cc_g+:} false; then : + $as_echo_n "(cached) " >&6 +else + ac_save_c_werror_flag=$ac_c_werror_flag + ac_c_werror_flag=yes + ac_cv_prog_cc_g=no + CFLAGS="-g" + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -1972,39 +2779,49 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : ac_cv_prog_cc_g=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 + CFLAGS="" + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : -ac_cv_prog_cc_g=no +else + ac_c_werror_flag=$ac_save_c_werror_flag + CFLAGS="-g" + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + ac_cv_prog_cc_g=yes fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $ac_cv_prog_cc_g" >&5 -echo "${ECHO_T}$ac_cv_prog_cc_g" >&6 +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext + ac_c_werror_flag=$ac_save_c_werror_flag +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_prog_cc_g" >&5 +$as_echo "$ac_cv_prog_cc_g" >&6; } if test "$ac_test_CFLAGS" = set; then CFLAGS=$ac_save_CFLAGS elif test $ac_cv_prog_cc_g = yes; then @@ -2020,23 +2837,18 @@ else CFLAGS= fi fi -echo "$as_me:$LINENO: checking for $CC option to accept ANSI C" >&5 -echo $ECHO_N "checking for $CC option to accept ANSI C... $ECHO_C" >&6 -if test "${ac_cv_prog_cc_stdc+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $CC option to accept ISO C89" >&5 +$as_echo_n "checking for $CC option to accept ISO C89... " >&6; } +if ${ac_cv_prog_cc_c89+:} false; then : + $as_echo_n "(cached) " >&6 else - ac_cv_prog_cc_stdc=no + ac_cv_prog_cc_c89=no ac_save_CC=$CC -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include #include -#include -#include +struct stat; /* Most of the following tests are stolen from RCS 5.7's src/conf.sh. */ struct buf { int x; }; FILE * (*rcsopen) (struct buf *, struct stat *, int); @@ -2059,12 +2871,17 @@ static char *f (char * (*g) (char **, int), char **p, ...) /* OSF 4.0 Compaq cc is some sort of almost-ANSI by default. It has function prototypes and stuff, but not '\xHH' hex character constants. These don't provoke an error unfortunately, instead are silently treated - as 'x'. The following induces an error, until -std1 is added to get + as 'x'. The following induces an error, until -std is added to get proper ANSI mode. Curiously '\x00'!='x' always comes out true, for an array size at least. It's necessary to write '\x00'==0 to get something - that's true only with -std1. */ + that's true only with -std. */ int osf4_cc_array ['\x00' == 0 ? 1 : -1]; +/* IBM C 6 for AIX is almost-ANSI by default, but it replaces macro parameters + inside strings and character constants. */ +#define FOO(x) 'x' +int xlc6_cc_array[FOO(a) == 'x' ? 1 : -1]; + int test (int i, double x); struct s1 {int (*f) (int a);}; struct s2 {int (*f) (double a);}; @@ -2079,205 +2896,37 @@ return f (e, argv, 0) != argv[0] || f (e, argv, 1) != argv[1]; return 0; } _ACEOF -# Don't try gcc -ansi; that turns off useful extensions and -# breaks some systems' header files. -# AIX -qlanglvl=ansi -# Ultrix and OSF/1 -std1 -# HP-UX 10.20 and later -Ae -# HP-UX older versions -Aa -D_HPUX_SOURCE -# SVR4 -Xc -D__EXTENSIONS__ -for ac_arg in "" -qlanglvl=ansi -std1 -Ae "-Aa -D_HPUX_SOURCE" "-Xc -D__EXTENSIONS__" +for ac_arg in '' -qlanglvl=extc89 -qlanglvl=ansi -std \ + -Ae "-Aa -D_HPUX_SOURCE" "-Xc -D__EXTENSIONS__" do CC="$ac_save_CC $ac_arg" - rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_prog_cc_stdc=$ac_arg -break -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - + if ac_fn_c_try_compile "$LINENO"; then : + ac_cv_prog_cc_c89=$ac_arg fi -rm -f conftest.err conftest.$ac_objext +rm -f core conftest.err conftest.$ac_objext + test "x$ac_cv_prog_cc_c89" != "xno" && break done -rm -f conftest.$ac_ext conftest.$ac_objext +rm -f conftest.$ac_ext CC=$ac_save_CC fi - -case "x$ac_cv_prog_cc_stdc" in - x|xno) - echo "$as_me:$LINENO: result: none needed" >&5 -echo "${ECHO_T}none needed" >&6 ;; +# AC_CACHE_VAL +case "x$ac_cv_prog_cc_c89" in + x) + { $as_echo "$as_me:${as_lineno-$LINENO}: result: none needed" >&5 +$as_echo "none needed" >&6; } ;; + xno) + { $as_echo "$as_me:${as_lineno-$LINENO}: result: unsupported" >&5 +$as_echo "unsupported" >&6; } ;; *) - echo "$as_me:$LINENO: result: $ac_cv_prog_cc_stdc" >&5 -echo "${ECHO_T}$ac_cv_prog_cc_stdc" >&6 - CC="$CC $ac_cv_prog_cc_stdc" ;; + CC="$CC $ac_cv_prog_cc_c89" + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_prog_cc_c89" >&5 +$as_echo "$ac_cv_prog_cc_c89" >&6; } ;; esac - -# Some people use a C++ compiler to compile C. Since we use `exit', -# in C++ we need to declare it. In case someone uses the same compiler -# for both compiling C and C++ we need to have the C++ compiler decide -# the declaration of exit, since it's the most demanding environment. -cat >conftest.$ac_ext <<_ACEOF -#ifndef __cplusplus - choke me -#endif -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - for ac_declaration in \ - '' \ - 'extern "C" void std::exit (int) throw (); using std::exit;' \ - 'extern "C" void std::exit (int); using std::exit;' \ - 'extern "C" void exit (int) throw ();' \ - 'extern "C" void exit (int);' \ - 'void exit (int);' -do - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_declaration -#include -int -main () -{ -exit (42); - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - : -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -continue -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_declaration -int -main () -{ -exit (42); - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - break -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 +if test "x$ac_cv_prog_cc_c89" != xno; then : fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -done -rm -f conftest* -if test -n "$ac_declaration"; then - echo '#ifdef __cplusplus' >>confdefs.h - echo $ac_declaration >>confdefs.h - echo '#endif' >>confdefs.h -fi - -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext ac_ext=c ac_cpp='$CPP $CPPFLAGS' ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' @@ -2285,18 +2934,14 @@ ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $ ac_compiler_gnu=$ac_cv_c_compiler_gnu -echo "$as_me:$LINENO: checking for inline" >&5 -echo $ECHO_N "checking for inline... $ECHO_C" >&6 -if test "${ac_cv_c_inline+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for inline" >&5 +$as_echo_n "checking for inline... " >&6; } +if ${ac_cv_c_inline+:} false; then : + $as_echo_n "(cached) " >&6 else ac_cv_c_inline=no for ac_kw in inline __inline__ __inline; do - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #ifndef __cplusplus typedef int foo_t; @@ -2305,41 +2950,16 @@ $ac_kw foo_t foo () {return 0; } #endif _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_c_inline=$ac_kw; break -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - +if ac_fn_c_try_compile "$LINENO"; then : + ac_cv_c_inline=$ac_kw fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext + test "$ac_cv_c_inline" != no && break done fi -echo "$as_me:$LINENO: result: $ac_cv_c_inline" >&5 -echo "${ECHO_T}$ac_cv_c_inline" >&6 - +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_c_inline" >&5 +$as_echo "$ac_cv_c_inline" >&6; } case $ac_cv_c_inline in inline | yes) ;; @@ -2361,15 +2981,15 @@ ac_cpp='$CPP $CPPFLAGS' ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5' ac_compiler_gnu=$ac_cv_c_compiler_gnu -echo "$as_me:$LINENO: checking how to run the C preprocessor" >&5 -echo $ECHO_N "checking how to run the C preprocessor... $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking how to run the C preprocessor" >&5 +$as_echo_n "checking how to run the C preprocessor... " >&6; } # On Suns, sometimes $CPP names a directory. if test -n "$CPP" && test -d "$CPP"; then CPP= fi if test -z "$CPP"; then - if test "${ac_cv_prog_CPP+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + if ${ac_cv_prog_CPP+:} false; then : + $as_echo_n "(cached) " >&6 else # Double quotes because CPP needs to be expanded for CPP in "$CC -E" "$CC -E -traditional-cpp" "/lib/cpp" @@ -2383,11 +3003,7 @@ do # exists even on freestanding compilers. # On the NeXT, cc -E runs the code through the compiler's parser, # not just through cpp. "Syntax error" is here to catch this case. - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #ifdef __STDC__ # include @@ -2396,78 +3012,34 @@ cat >>conftest.$ac_ext <<_ACEOF #endif Syntax error _ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes -fi -if test -z "$ac_cpp_err"; then - : -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 +if ac_fn_c_try_cpp "$LINENO"; then : +else # Broken: fails on valid input. continue fi -rm -f conftest.err conftest.$ac_ext +rm -f conftest.err conftest.i conftest.$ac_ext - # OK, works on sane cases. Now check whether non-existent headers + # OK, works on sane cases. Now check whether nonexistent headers # can be detected and how. - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include _ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes -fi -if test -z "$ac_cpp_err"; then +if ac_fn_c_try_cpp "$LINENO"; then : # Broken: success on invalid input. continue else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - # Passes both tests. ac_preproc_ok=: break fi -rm -f conftest.err conftest.$ac_ext +rm -f conftest.err conftest.i conftest.$ac_ext done # Because of `break', _AC_PREPROC_IFELSE's cleaning code was skipped. -rm -f conftest.err conftest.$ac_ext -if $ac_preproc_ok; then +rm -f conftest.i conftest.err conftest.$ac_ext +if $ac_preproc_ok; then : break fi @@ -2479,8 +3051,8 @@ fi else ac_cv_prog_CPP=$CPP fi -echo "$as_me:$LINENO: result: $CPP" >&5 -echo "${ECHO_T}$CPP" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $CPP" >&5 +$as_echo "$CPP" >&6; } ac_preproc_ok=false for ac_c_preproc_warn_flag in '' yes do @@ -2490,11 +3062,7 @@ do # exists even on freestanding compilers. # On the NeXT, cc -E runs the code through the compiler's parser, # not just through cpp. "Syntax error" is here to catch this case. - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #ifdef __STDC__ # include @@ -2503,85 +3071,40 @@ cat >>conftest.$ac_ext <<_ACEOF #endif Syntax error _ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes -fi -if test -z "$ac_cpp_err"; then - : -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 +if ac_fn_c_try_cpp "$LINENO"; then : +else # Broken: fails on valid input. continue fi -rm -f conftest.err conftest.$ac_ext +rm -f conftest.err conftest.i conftest.$ac_ext - # OK, works on sane cases. Now check whether non-existent headers + # OK, works on sane cases. Now check whether nonexistent headers # can be detected and how. - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include _ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes -fi -if test -z "$ac_cpp_err"; then +if ac_fn_c_try_cpp "$LINENO"; then : # Broken: success on invalid input. continue else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - # Passes both tests. ac_preproc_ok=: break fi -rm -f conftest.err conftest.$ac_ext +rm -f conftest.err conftest.i conftest.$ac_ext done # Because of `break', _AC_PREPROC_IFELSE's cleaning code was skipped. -rm -f conftest.err conftest.$ac_ext -if $ac_preproc_ok; then - : +rm -f conftest.i conftest.err conftest.$ac_ext +if $ac_preproc_ok; then : + else - { { echo "$as_me:$LINENO: error: C preprocessor \"$CPP\" fails sanity check -See \`config.log' for more details." >&5 -echo "$as_me: error: C preprocessor \"$CPP\" fails sanity check -See \`config.log' for more details." >&2;} - { (exit 1); exit 1; }; } + { { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error $? "C preprocessor \"$CPP\" fails sanity check +See \`config.log' for more details" "$LINENO" 5; } fi ac_ext=c @@ -2591,31 +3114,142 @@ ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $ ac_compiler_gnu=$ac_cv_c_compiler_gnu -echo "$as_me:$LINENO: checking for egrep" >&5 -echo $ECHO_N "checking for egrep... $ECHO_C" >&6 -if test "${ac_cv_prog_egrep+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for grep that handles long lines and -e" >&5 +$as_echo_n "checking for grep that handles long lines and -e... " >&6; } +if ${ac_cv_path_GREP+:} false; then : + $as_echo_n "(cached) " >&6 else - if echo a | (grep -E '(a|b)') >/dev/null 2>&1 - then ac_cv_prog_egrep='grep -E' - else ac_cv_prog_egrep='egrep' + if test -z "$GREP"; then + ac_path_GREP_found=false + # Loop through the user's path and test for each of PROGNAME-LIST + as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH$PATH_SEPARATOR/usr/xpg4/bin +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_prog in grep ggrep; do + for ac_exec_ext in '' $ac_executable_extensions; do + ac_path_GREP="$as_dir/$ac_prog$ac_exec_ext" + as_fn_executable_p "$ac_path_GREP" || continue +# Check for GNU ac_path_GREP and select it if it is found. + # Check for GNU $ac_path_GREP +case `"$ac_path_GREP" --version 2>&1` in +*GNU*) + ac_cv_path_GREP="$ac_path_GREP" ac_path_GREP_found=:;; +*) + ac_count=0 + $as_echo_n 0123456789 >"conftest.in" + while : + do + cat "conftest.in" "conftest.in" >"conftest.tmp" + mv "conftest.tmp" "conftest.in" + cp "conftest.in" "conftest.nl" + $as_echo 'GREP' >> "conftest.nl" + "$ac_path_GREP" -e 'GREP$' -e '-(cannot match)-' < "conftest.nl" >"conftest.out" 2>/dev/null || break + diff "conftest.out" "conftest.nl" >/dev/null 2>&1 || break + as_fn_arith $ac_count + 1 && ac_count=$as_val + if test $ac_count -gt ${ac_path_GREP_max-0}; then + # Best one so far, save it but keep looking for a better one + ac_cv_path_GREP="$ac_path_GREP" + ac_path_GREP_max=$ac_count fi + # 10*(2^10) chars as input seems more than enough + test $ac_count -gt 10 && break + done + rm -f conftest.in conftest.tmp conftest.nl conftest.out;; +esac + + $ac_path_GREP_found && break 3 + done + done + done +IFS=$as_save_IFS + if test -z "$ac_cv_path_GREP"; then + as_fn_error $? "no acceptable grep could be found in $PATH$PATH_SEPARATOR/usr/xpg4/bin" "$LINENO" 5 + fi +else + ac_cv_path_GREP=$GREP fi -echo "$as_me:$LINENO: result: $ac_cv_prog_egrep" >&5 -echo "${ECHO_T}$ac_cv_prog_egrep" >&6 - EGREP=$ac_cv_prog_egrep + +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_path_GREP" >&5 +$as_echo "$ac_cv_path_GREP" >&6; } + GREP="$ac_cv_path_GREP" -echo "$as_me:$LINENO: checking for ANSI C header files" >&5 -echo $ECHO_N "checking for ANSI C header files... $ECHO_C" >&6 -if test "${ac_cv_header_stdc+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for egrep" >&5 +$as_echo_n "checking for egrep... " >&6; } +if ${ac_cv_path_EGREP+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + if echo a | $GREP -E '(a|b)' >/dev/null 2>&1 + then ac_cv_path_EGREP="$GREP -E" + else + if test -z "$EGREP"; then + ac_path_EGREP_found=false + # Loop through the user's path and test for each of PROGNAME-LIST + as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH$PATH_SEPARATOR/usr/xpg4/bin +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_prog in egrep; do + for ac_exec_ext in '' $ac_executable_extensions; do + ac_path_EGREP="$as_dir/$ac_prog$ac_exec_ext" + as_fn_executable_p "$ac_path_EGREP" || continue +# Check for GNU ac_path_EGREP and select it if it is found. + # Check for GNU $ac_path_EGREP +case `"$ac_path_EGREP" --version 2>&1` in +*GNU*) + ac_cv_path_EGREP="$ac_path_EGREP" ac_path_EGREP_found=:;; +*) + ac_count=0 + $as_echo_n 0123456789 >"conftest.in" + while : + do + cat "conftest.in" "conftest.in" >"conftest.tmp" + mv "conftest.tmp" "conftest.in" + cp "conftest.in" "conftest.nl" + $as_echo 'EGREP' >> "conftest.nl" + "$ac_path_EGREP" 'EGREP$' < "conftest.nl" >"conftest.out" 2>/dev/null || break + diff "conftest.out" "conftest.nl" >/dev/null 2>&1 || break + as_fn_arith $ac_count + 1 && ac_count=$as_val + if test $ac_count -gt ${ac_path_EGREP_max-0}; then + # Best one so far, save it but keep looking for a better one + ac_cv_path_EGREP="$ac_path_EGREP" + ac_path_EGREP_max=$ac_count + fi + # 10*(2^10) chars as input seems more than enough + test $ac_count -gt 10 && break + done + rm -f conftest.in conftest.tmp conftest.nl conftest.out;; +esac + + $ac_path_EGREP_found && break 3 + done + done + done +IFS=$as_save_IFS + if test -z "$ac_cv_path_EGREP"; then + as_fn_error $? "no acceptable egrep could be found in $PATH$PATH_SEPARATOR/usr/xpg4/bin" "$LINENO" 5 + fi +else + ac_cv_path_EGREP=$EGREP +fi + + fi +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_path_EGREP" >&5 +$as_echo "$ac_cv_path_EGREP" >&6; } + EGREP="$ac_cv_path_EGREP" + + +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for ANSI C header files" >&5 +$as_echo_n "checking for ANSI C header files... " >&6; } +if ${ac_cv_header_stdc+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include #include @@ -2630,51 +3264,23 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : ac_cv_header_stdc=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_header_stdc=no + ac_cv_header_stdc=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext if test $ac_cv_header_stdc = yes; then # SunOS 4.x string.h does not declare mem*, contrary to ANSI. - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include _ACEOF if (eval "$ac_cpp conftest.$ac_ext") 2>&5 | - $EGREP "memchr" >/dev/null 2>&1; then - : + $EGREP "memchr" >/dev/null 2>&1; then : + else ac_cv_header_stdc=no fi @@ -2684,18 +3290,14 @@ fi if test $ac_cv_header_stdc = yes; then # ISC 2.0.2 stdlib.h does not declare free, contrary to ANSI. - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include _ACEOF if (eval "$ac_cpp conftest.$ac_ext") 2>&5 | - $EGREP "free" >/dev/null 2>&1; then - : + $EGREP "free" >/dev/null 2>&1; then : + else ac_cv_header_stdc=no fi @@ -2705,16 +3307,13 @@ fi if test $ac_cv_header_stdc = yes; then # /bin/cc in Irix-4.0.5 gets non-ANSI ctype macros unless using -ansi. - if test "$cross_compiling" = yes; then + if test "$cross_compiling" = yes; then : : else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include +#include #if ((' ' & 0x0FF) == 0x020) # define ISLOWER(c) ('a' <= (c) && (c) <= 'z') # define TOUPPER(c) (ISLOWER(c) ? 'A' + ((c) - 'a') : (c)) @@ -2734,41 +3333,26 @@ main () for (i = 0; i < 256; i++) if (XOR (islower (i), ISLOWER (i)) || toupper (i) != TOUPPER (i)) - exit(2); - exit (0); + return 2; + return 0; } _ACEOF -rm -f conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && { ac_try='./conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - : -else - echo "$as_me: program exited with status $ac_status" >&5 -echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 +if ac_fn_c_try_run "$LINENO"; then : -( exit $ac_status ) -ac_cv_header_stdc=no +else + ac_cv_header_stdc=no fi -rm -f core *.core gmon.out bb.out conftest$ac_exeext conftest.$ac_objext conftest.$ac_ext +rm -f core *.core core.conftest.* gmon.out bb.out conftest$ac_exeext \ + conftest.$ac_objext conftest.beam conftest.$ac_ext fi + fi fi -echo "$as_me:$LINENO: result: $ac_cv_header_stdc" >&5 -echo "${ECHO_T}$ac_cv_header_stdc" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_header_stdc" >&5 +$as_echo "$ac_cv_header_stdc" >&6; } if test $ac_cv_header_stdc = yes; then -cat >>confdefs.h <<\_ACEOF -#define STDC_HEADERS 1 -_ACEOF +$as_echo "#define STDC_HEADERS 1" >>confdefs.h fi @@ -2776,10 +3360,10 @@ fi if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}ar", so it can be a program name with args. set dummy ${ac_tool_prefix}ar; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_AR+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_AR+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$AR"; then ac_cv_prog_AR="$AR" # Let the user override the test. @@ -2789,35 +3373,37 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_AR="${ac_tool_prefix}ar" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi AR=$ac_cv_prog_AR if test -n "$AR"; then - echo "$as_me:$LINENO: result: $AR" >&5 -echo "${ECHO_T}$AR" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $AR" >&5 +$as_echo "$AR" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi + fi if test -z "$ac_cv_prog_AR"; then ac_ct_AR=$AR # Extract the first word of "ar", so it can be a program name with args. set dummy ar; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_ac_ct_AR+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_AR+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_AR"; then ac_cv_prog_ac_ct_AR="$ac_ct_AR" # Let the user override the test. @@ -2827,27 +3413,38 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_AR="ar" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi ac_ct_AR=$ac_cv_prog_ac_ct_AR if test -n "$ac_ct_AR"; then - echo "$as_me:$LINENO: result: $ac_ct_AR" >&5 -echo "${ECHO_T}$ac_ct_AR" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_AR" >&5 +$as_echo "$ac_ct_AR" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi - AR=$ac_ct_AR + if test "x$ac_ct_AR" = x; then + AR="" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + AR=$ac_ct_AR + fi else AR="$ac_cv_prog_AR" fi @@ -2855,10 +3452,10 @@ fi if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}ranlib", so it can be a program name with args. set dummy ${ac_tool_prefix}ranlib; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_RANLIB+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_RANLIB+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$RANLIB"; then ac_cv_prog_RANLIB="$RANLIB" # Let the user override the test. @@ -2868,35 +3465,37 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_RANLIB="${ac_tool_prefix}ranlib" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi RANLIB=$ac_cv_prog_RANLIB if test -n "$RANLIB"; then - echo "$as_me:$LINENO: result: $RANLIB" >&5 -echo "${ECHO_T}$RANLIB" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $RANLIB" >&5 +$as_echo "$RANLIB" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi + fi if test -z "$ac_cv_prog_RANLIB"; then ac_ct_RANLIB=$RANLIB # Extract the first word of "ranlib", so it can be a program name with args. set dummy ranlib; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_ac_ct_RANLIB+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_RANLIB+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_RANLIB"; then ac_cv_prog_ac_ct_RANLIB="$ac_ct_RANLIB" # Let the user override the test. @@ -2906,27 +3505,38 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_RANLIB="ranlib" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi ac_ct_RANLIB=$ac_cv_prog_ac_ct_RANLIB if test -n "$ac_ct_RANLIB"; then - echo "$as_me:$LINENO: result: $ac_ct_RANLIB" >&5 -echo "${ECHO_T}$ac_ct_RANLIB" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_RANLIB" >&5 +$as_echo "$ac_ct_RANLIB" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi - RANLIB=$ac_ct_RANLIB + if test "x$ac_ct_RANLIB" = x; then + RANLIB="" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + RANLIB=$ac_ct_RANLIB + fi else RANLIB="$ac_cv_prog_RANLIB" fi @@ -2934,10 +3544,10 @@ fi if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}windres", so it can be a program name with args. set dummy ${ac_tool_prefix}windres; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_RC+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_RC+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$RC"; then ac_cv_prog_RC="$RC" # Let the user override the test. @@ -2947,35 +3557,37 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_RC="${ac_tool_prefix}windres" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi RC=$ac_cv_prog_RC if test -n "$RC"; then - echo "$as_me:$LINENO: result: $RC" >&5 -echo "${ECHO_T}$RC" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $RC" >&5 +$as_echo "$RC" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi + fi if test -z "$ac_cv_prog_RC"; then ac_ct_RC=$RC # Extract the first word of "windres", so it can be a program name with args. set dummy windres; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_ac_ct_RC+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_RC+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_RC"; then ac_cv_prog_ac_ct_RC="$ac_ct_RC" # Let the user override the test. @@ -2985,27 +3597,38 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_RC="windres" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi ac_ct_RC=$ac_cv_prog_ac_ct_RC if test -n "$ac_ct_RC"; then - echo "$as_me:$LINENO: result: $ac_ct_RC" >&5 -echo "${ECHO_T}$ac_ct_RC" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_RC" >&5 +$as_echo "$ac_ct_RC" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi - RC=$ac_ct_RC + if test "x$ac_ct_RC" = x; then + RC="" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + RC=$ac_ct_RC + fi else RC="$ac_cv_prog_RC" fi @@ -3015,32 +3638,34 @@ fi # Checks to see if the make program sets the $MAKE variable. #-------------------------------------------------------------------- -echo "$as_me:$LINENO: checking whether ${MAKE-make} sets \$(MAKE)" >&5 -echo $ECHO_N "checking whether ${MAKE-make} sets \$(MAKE)... $ECHO_C" >&6 -set dummy ${MAKE-make}; ac_make=`echo "$2" | sed 'y,:./+-,___p_,'` -if eval "test \"\${ac_cv_prog_make_${ac_make}_set+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether ${MAKE-make} sets \$(MAKE)" >&5 +$as_echo_n "checking whether ${MAKE-make} sets \$(MAKE)... " >&6; } +set x ${MAKE-make} +ac_make=`$as_echo "$2" | sed 's/+/p/g; s/[^a-zA-Z0-9_]/_/g'` +if eval \${ac_cv_prog_make_${ac_make}_set+:} false; then : + $as_echo_n "(cached) " >&6 else cat >conftest.make <<\_ACEOF +SHELL = /bin/sh all: - @echo 'ac_maketemp="$(MAKE)"' + @echo '@@@%%%=$(MAKE)=@@@%%%' _ACEOF -# GNU make sometimes prints "make[1]: Entering...", which would confuse us. -eval `${MAKE-make} -f conftest.make 2>/dev/null | grep temp=` -if test -n "$ac_maketemp"; then - eval ac_cv_prog_make_${ac_make}_set=yes -else - eval ac_cv_prog_make_${ac_make}_set=no -fi +# GNU make sometimes prints "make[1]: Entering ...", which would confuse us. +case `${MAKE-make} -f conftest.make 2>/dev/null` in + *@@@%%%=?*=@@@%%%*) + eval ac_cv_prog_make_${ac_make}_set=yes;; + *) + eval ac_cv_prog_make_${ac_make}_set=no;; +esac rm -f conftest.make fi -if eval "test \"`echo '$ac_cv_prog_make_'${ac_make}_set`\" = yes"; then - echo "$as_me:$LINENO: result: yes" >&5 -echo "${ECHO_T}yes" >&6 +if eval test \$ac_cv_prog_make_${ac_make}_set = yes; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: yes" >&5 +$as_echo "yes" >&6; } SET_MAKE= else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } SET_MAKE="MAKE=${MAKE-make}" fi @@ -3057,34 +3682,30 @@ fi #-------------------------------------------------------------------- - echo "$as_me:$LINENO: checking for building with threads" >&5 -echo $ECHO_N "checking for building with threads... $ECHO_C" >&6 - # Check whether --enable-threads or --disable-threads was given. -if test "${enable_threads+set}" = set; then - enableval="$enable_threads" - tcl_ok=$enableval + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for building with threads" >&5 +$as_echo_n "checking for building with threads... " >&6; } + # Check whether --enable-threads was given. +if test "${enable_threads+set}" = set; then : + enableval=$enable_threads; tcl_ok=$enableval else tcl_ok=yes -fi; +fi + if test "$tcl_ok" = "yes"; then - echo "$as_me:$LINENO: result: yes (default)" >&5 -echo "${ECHO_T}yes (default)" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: yes (default)" >&5 +$as_echo "yes (default)" >&6; } TCL_THREADS=1 - cat >>confdefs.h <<\_ACEOF -#define TCL_THREADS 1 -_ACEOF + $as_echo "#define TCL_THREADS 1" >>confdefs.h # USE_THREAD_ALLOC tells us to try the special thread-based # allocator that significantly reduces lock contention - cat >>confdefs.h <<\_ACEOF -#define USE_THREAD_ALLOC 1 -_ACEOF + $as_echo "#define USE_THREAD_ALLOC 1" >>confdefs.h else TCL_THREADS=0 - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi @@ -3095,11 +3716,11 @@ echo "${ECHO_T}no" >&6 -# Check whether --with-encoding or --without-encoding was given. -if test "${with_encoding+set}" = set; then - withval="$with_encoding" - with_tcencoding=${withval} -fi; +# Check whether --with-encoding was given. +if test "${with_encoding+set}" = set; then : + withval=$with_encoding; with_tcencoding=${withval} +fi + if test x"${with_tcencoding}" != x ; then cat >>confdefs.h <<_ACEOF @@ -3108,9 +3729,7 @@ _ACEOF else # Default encoding on windows is not "iso8859-1" - cat >>confdefs.h <<\_ACEOF -#define TCL_CFGVAL_ENCODING "cp1252" -_ACEOF + $as_echo "#define TCL_CFGVAL_ENCODING \"cp1252\"" >>confdefs.h fi @@ -3121,15 +3740,15 @@ _ACEOF #-------------------------------------------------------------------- - echo "$as_me:$LINENO: checking how to build libraries" >&5 -echo $ECHO_N "checking how to build libraries... $ECHO_C" >&6 - # Check whether --enable-shared or --disable-shared was given. -if test "${enable_shared+set}" = set; then - enableval="$enable_shared" - tcl_ok=$enableval + { $as_echo "$as_me:${as_lineno-$LINENO}: checking how to build libraries" >&5 +$as_echo_n "checking how to build libraries... " >&6; } + # Check whether --enable-shared was given. +if test "${enable_shared+set}" = set; then : + enableval=$enable_shared; tcl_ok=$enableval else tcl_ok=yes -fi; +fi + if test "${enable_shared+set}" = set; then enableval="$enable_shared" @@ -3139,17 +3758,15 @@ fi; fi if test "$tcl_ok" = "yes" ; then - echo "$as_me:$LINENO: result: shared" >&5 -echo "${ECHO_T}shared" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: shared" >&5 +$as_echo "shared" >&6; } SHARED_BUILD=1 else - echo "$as_me:$LINENO: result: static" >&5 -echo "${ECHO_T}static" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: static" >&5 +$as_echo "static" >&6; } SHARED_BUILD=0 -cat >>confdefs.h <<\_ACEOF -#define STATIC_BUILD 1 -_ACEOF +$as_echo "#define STATIC_BUILD 1" >>confdefs.h fi @@ -3161,70 +3778,15 @@ _ACEOF #-------------------------------------------------------------------- # On IRIX 5.3, sys/types and inttypes.h are conflicting. - - - - - - - - - for ac_header in sys/types.h sys/stat.h stdlib.h string.h memory.h strings.h \ inttypes.h stdint.h unistd.h -do -as_ac_Header=`echo "ac_cv_header_$ac_header" | $as_tr_sh` -echo "$as_me:$LINENO: checking for $ac_header" >&5 -echo $ECHO_N "checking for $ac_header... $ECHO_C" >&6 -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default - -#include <$ac_header> -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - eval "$as_ac_Header=yes" -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -eval "$as_ac_Header=no" -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_Header'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_Header'}'`" >&6 -if test `eval echo '${'$as_ac_Header'}'` = yes; then +do : + as_ac_Header=`$as_echo "ac_cv_header_$ac_header" | $as_tr_sh` +ac_fn_c_check_header_compile "$LINENO" "$ac_header" "$as_ac_Header" "$ac_includes_default +" +if eval test \"x\$"$as_ac_Header"\" = x"yes"; then : cat >>confdefs.h <<_ACEOF -#define `echo "HAVE_$ac_header" | $as_tr_cpp` 1 +#define `$as_echo "HAVE_$ac_header" | $as_tr_cpp` 1 _ACEOF fi @@ -3236,59 +3798,57 @@ done # Step 0: Enable 64 bit support? - echo "$as_me:$LINENO: checking if 64bit support is requested" >&5 -echo $ECHO_N "checking if 64bit support is requested... $ECHO_C" >&6 - # Check whether --enable-64bit or --disable-64bit was given. -if test "${enable_64bit+set}" = set; then - enableval="$enable_64bit" - do64bit=$enableval + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if 64bit support is requested" >&5 +$as_echo_n "checking if 64bit support is requested... " >&6; } + # Check whether --enable-64bit was given. +if test "${enable_64bit+set}" = set; then : + enableval=$enable_64bit; do64bit=$enableval else do64bit=no -fi; - echo "$as_me:$LINENO: result: $do64bit" >&5 -echo "${ECHO_T}$do64bit" >&6 +fi + + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $do64bit" >&5 +$as_echo "$do64bit" >&6; } # Cross-compiling options for Windows/CE builds - echo "$as_me:$LINENO: checking if Windows/CE build is requested" >&5 -echo $ECHO_N "checking if Windows/CE build is requested... $ECHO_C" >&6 - # Check whether --enable-wince or --disable-wince was given. -if test "${enable_wince+set}" = set; then - enableval="$enable_wince" - doWince=$enableval + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if Windows/CE build is requested" >&5 +$as_echo_n "checking if Windows/CE build is requested... " >&6; } + # Check whether --enable-wince was given. +if test "${enable_wince+set}" = set; then : + enableval=$enable_wince; doWince=$enableval else doWince=no -fi; - echo "$as_me:$LINENO: result: $doWince" >&5 -echo "${ECHO_T}$doWince" >&6 +fi + + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $doWince" >&5 +$as_echo "$doWince" >&6; } - echo "$as_me:$LINENO: checking for Windows/CE celib directory" >&5 -echo $ECHO_N "checking for Windows/CE celib directory... $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for Windows/CE celib directory" >&5 +$as_echo_n "checking for Windows/CE celib directory... " >&6; } -# Check whether --with-celib or --without-celib was given. -if test "${with_celib+set}" = set; then - withval="$with_celib" - CELIB_DIR=$withval +# Check whether --with-celib was given. +if test "${with_celib+set}" = set; then : + withval=$with_celib; CELIB_DIR=$withval else CELIB_DIR=NO_CELIB -fi; - echo "$as_me:$LINENO: result: $CELIB_DIR" >&5 -echo "${ECHO_T}$CELIB_DIR" >&6 +fi + + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $CELIB_DIR" >&5 +$as_echo "$CELIB_DIR" >&6; } # Set some defaults (may get changed below) EXTRA_CFLAGS="" -cat >>confdefs.h <<\_ACEOF -#define MODULE_SCOPE extern -_ACEOF +$as_echo "#define MODULE_SCOPE extern" >>confdefs.h # Extract the first word of "cygpath", so it can be a program name with args. set dummy cygpath; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_CYGPATH+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_CYGPATH+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$CYGPATH"; then ac_cv_prog_CYGPATH="$CYGPATH" # Let the user override the test. @@ -3298,28 +3858,30 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_CYGPATH="cygpath -m" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS test -z "$ac_cv_prog_CYGPATH" && ac_cv_prog_CYGPATH="echo" fi fi CYGPATH=$ac_cv_prog_CYGPATH if test -n "$CYGPATH"; then - echo "$as_me:$LINENO: result: $CYGPATH" >&5 -echo "${ECHO_T}$CYGPATH" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $CYGPATH" >&5 +$as_echo "$CYGPATH" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi + SHLIB_SUFFIX=".dll" # MACHINE is IX86 for LINK, but this is used by the manifest, @@ -3328,16 +3890,12 @@ fi if test "$GCC" = "yes"; then - echo "$as_me:$LINENO: checking for cross-compile version of gcc" >&5 -echo $ECHO_N "checking for cross-compile version of gcc... $ECHO_C" >&6 -if test "${ac_cv_cross+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for cross-compile version of gcc" >&5 +$as_echo_n "checking for cross-compile version of gcc... " >&6; } +if ${ac_cv_cross+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #ifndef _WIN32 @@ -3352,40 +3910,16 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : ac_cv_cross=no else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_cross=yes + ac_cv_cross=yes fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $ac_cv_cross" >&5 -echo "${ECHO_T}$ac_cv_cross" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_cross" >&5 +$as_echo "$ac_cv_cross" >&6; } if test "$ac_cv_cross" = "yes"; then case "$do64bit" in @@ -3420,20 +3954,20 @@ echo "${ECHO_T}$ac_cv_cross" >&6 echo "101 \"name\"" >> $conftest echo "END" >> $conftest - echo "$as_me:$LINENO: checking for Windows native path bug in windres" >&5 -echo $ECHO_N "checking for Windows native path bug in windres... $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for Windows native path bug in windres" >&5 +$as_echo_n "checking for Windows native path bug in windres... " >&6; } cyg_conftest=`$CYGPATH $conftest` if { ac_try='$RC -o conftest.res.o $cyg_conftest' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 + { { eval echo "\"\$as_me\":${as_lineno-$LINENO}: \"$ac_try\""; } >&5 (eval $ac_try) 2>&5 ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } ; then - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; }; } ; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } else - echo "$as_me:$LINENO: result: yes" >&5 -echo "${ECHO_T}yes" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: yes" >&5 +$as_echo "yes" >&6; } CYGPATH=echo fi conftest= @@ -3451,16 +3985,12 @@ echo "${ECHO_T}yes" >&6 if test "${GCC}" = "yes" ; then extra_cflags="-pipe" extra_ldflags="-pipe -static-libgcc" - echo "$as_me:$LINENO: checking for mingw32 version of gcc" >&5 -echo $ECHO_N "checking for mingw32 version of gcc... $ECHO_C" >&6 -if test "${ac_cv_win32+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for mingw32 version of gcc" >&5 +$as_echo_n "checking for mingw32 version of gcc... " >&6; } +if ${ac_cv_win32+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #ifdef _WIN32 @@ -3475,57 +4005,73 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : ac_cv_win32=no else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_win32=yes + ac_cv_win32=yes fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $ac_cv_win32" >&5 -echo "${ECHO_T}$ac_cv_win32" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_win32" >&5 +$as_echo "$ac_cv_win32" >&6; } if test "$ac_cv_win32" != "yes"; then - { { echo "$as_me:$LINENO: error: ${CC} cannot produce win32 executables." >&5 -echo "$as_me: error: ${CC} cannot produce win32 executables." >&2;} - { (exit 1); exit 1; }; } + as_fn_error $? "${CC} cannot produce win32 executables." "$LINENO" 5 fi hold_cflags=$CFLAGS; CFLAGS="$CFLAGS -mwindows -municode -Dmain=xxmain" - echo "$as_me:$LINENO: checking for working -municode linker flag" >&5 -echo $ECHO_N "checking for working -municode linker flag... $ECHO_C" >&6 -if test "${ac_cv_municode+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for working -municode linker flag" >&5 +$as_echo_n "checking for working -municode linker flag... " >&6; } +if ${ac_cv_municode+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + +# ac_fn_c_try_link LINENO +# ----------------------- +# Try to link conftest.$ac_ext, and return whether this succeeded. +ac_fn_c_try_link () +{ + as_lineno=${as_lineno-"$1"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + rm -f conftest.$ac_objext conftest$ac_exeext + if { { ac_try="$ac_link" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_link") 2>conftest.err + ac_status=$? + if test -s conftest.err; then + grep -v '^ *+' conftest.err >conftest.er1 + cat conftest.er1 >&5 + mv -f conftest.er1 conftest.err + fi + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; } && { + test -z "$ac_c_werror_flag" || + test ! -s conftest.err + } && test -s conftest$ac_exeext && { + test "$cross_compiling" = yes || + test -x conftest$ac_exeext + }; then : + ac_retval=0 +else + $as_echo "$as_me: failed program was:" >&5 +sed 's/^/| /' conftest.$ac_ext >&5 + + ac_retval=1 +fi + # Delete the IPA/IPO (Inter Procedural Analysis/Optimization) information + # created by the PGI compiler (conftest_ipa8_conftest.oo), as it would + # interfere with the next link command; also delete a directory that is + # left behind by Apple's compiler. We do this before executing the actions. + rm -rf conftest.dSYM conftest_ipa8_conftest.oo + eval $as_lineno_stack; ${as_lineno_stack:+:} unset as_lineno + as_fn_set_status $ac_retval + +} # ac_fn_c_try_link +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include @@ -3539,41 +4085,17 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : ac_cv_municode=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_municode=no + ac_cv_municode=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $ac_cv_municode" >&5 -echo "${ECHO_T}$ac_cv_municode" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_municode" >&5 +$as_echo "$ac_cv_municode" >&6; } CFLAGS=$hold_cflags if test "$ac_cv_municode" = "yes" ; then extra_ldflags="$extra_ldflags -municode" @@ -3582,8 +4104,8 @@ echo "${ECHO_T}$ac_cv_municode" >&6 fi fi - echo "$as_me:$LINENO: checking compiler flags" >&5 -echo $ECHO_N "checking compiler flags... $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking compiler flags" >&5 +$as_echo_n "checking compiler flags... " >&6; } if test "${GCC}" = "yes" ; then SHLIB_LD="" SHLIB_LD_LIBS='${LIBS}' @@ -3604,23 +4126,20 @@ echo $ECHO_N "checking compiler flags... $ECHO_C" >&6 if test "${SHARED_BUILD}" = "0" ; then # static - echo "$as_me:$LINENO: result: using static flags" >&5 -echo "${ECHO_T}using static flags" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: using static flags" >&5 +$as_echo "using static flags" >&6; } runtime= LIBRARIES="\${STATIC_LIBRARIES}" EXESUFFIX="s\${DBGX}.exe" else # dynamic - echo "$as_me:$LINENO: result: using shared flags" >&5 -echo "${ECHO_T}using shared flags" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: using shared flags" >&5 +$as_echo "using shared flags" >&6; } # ad-hoc check to see if CC supports -shared. if "${CC}" -shared 2>&1 | egrep ': -shared not supported' >/dev/null; then - { { echo "$as_me:$LINENO: error: ${CC} does not support the -shared option. - You will need to upgrade to a newer version of the toolchain." >&5 -echo "$as_me: error: ${CC} does not support the -shared option. - You will need to upgrade to a newer version of the toolchain." >&2;} - { (exit 1); exit 1; }; } + as_fn_error $? "${CC} does not support the -shared option. + You will need to upgrade to a newer version of the toolchain." "$LINENO" 5 fi runtime= @@ -3674,20 +4193,16 @@ echo "$as_me: error: ${CC} does not support the -shared option. case "$do64bit" in amd64|x64|yes) MACHINE="AMD64" ; # assume AMD64 as default 64-bit build - echo "$as_me:$LINENO: result: Using 64-bit $MACHINE mode" >&5 -echo "${ECHO_T} Using 64-bit $MACHINE mode" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: Using 64-bit $MACHINE mode" >&5 +$as_echo " Using 64-bit $MACHINE mode" >&6; } ;; ia64) MACHINE="IA64" - echo "$as_me:$LINENO: result: Using 64-bit $MACHINE mode" >&5 -echo "${ECHO_T} Using 64-bit $MACHINE mode" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: Using 64-bit $MACHINE mode" >&5 +$as_echo " Using 64-bit $MACHINE mode" >&6; } ;; *) - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #ifndef _WIN64 @@ -3702,57 +4217,33 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_win_64bit=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_win_64bit=no + tcl_win_64bit=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext if test "$tcl_win_64bit" = "yes" ; then do64bit=amd64 MACHINE="AMD64" - echo "$as_me:$LINENO: result: Using 64-bit $MACHINE mode" >&5 -echo "${ECHO_T} Using 64-bit $MACHINE mode" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: Using 64-bit $MACHINE mode" >&5 +$as_echo " Using 64-bit $MACHINE mode" >&6; } fi ;; esac else if test "${SHARED_BUILD}" = "0" ; then # static - echo "$as_me:$LINENO: result: using static flags" >&5 -echo "${ECHO_T}using static flags" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: using static flags" >&5 +$as_echo "using static flags" >&6; } runtime=-MT LIBRARIES="\${STATIC_LIBRARIES}" EXESUFFIX="s\${DBGX}.exe" else # dynamic - echo "$as_me:$LINENO: result: using shared flags" >&5 -echo "${ECHO_T}using shared flags" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: using shared flags" >&5 +$as_echo "using shared flags" >&6; } runtime=-MD # Add SHLIB_LD_LIBS to the Make rule, not here. LIBRARIES="\${SHARED_LIBRARIES}" @@ -3792,11 +4283,11 @@ echo "${ECHO_T}using shared flags" >&6 ;; esac if test ! -d "${PATH64}" ; then - { echo "$as_me:$LINENO: WARNING: Could not find 64-bit $MACHINE SDK" >&5 -echo "$as_me: WARNING: Could not find 64-bit $MACHINE SDK" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: Could not find 64-bit $MACHINE SDK" >&5 +$as_echo "$as_me: WARNING: Could not find 64-bit $MACHINE SDK" >&2;} fi - echo "$as_me:$LINENO: result: Using 64-bit $MACHINE mode" >&5 -echo "${ECHO_T} Using 64-bit $MACHINE mode" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: Using 64-bit $MACHINE mode" >&5 +$as_echo " Using 64-bit $MACHINE mode" >&6; } fi LIBS="netapi32.lib kernel32.lib user32.lib advapi32.lib userenv.lib ws2_32.lib" @@ -3815,64 +4306,9 @@ echo "${ECHO_T} Using 64-bit $MACHINE mode" >&6 # TEA_PATH_NOSPACE to avoid this issue. # Check if _WIN64 is already recognized, and if so we don't # need to modify CC. - echo "$as_me:$LINENO: checking whether _WIN64 is declared" >&5 -echo $ECHO_N "checking whether _WIN64 is declared... $ECHO_C" >&6 -if test "${ac_cv_have_decl__WIN64+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -int -main () -{ -#ifndef _WIN64 - char *p = (char *) _WIN64; -#endif - - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_have_decl__WIN64=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 + ac_fn_c_check_decl "$LINENO" "_WIN64" "ac_cv_have_decl__WIN64" "$ac_includes_default" +if test "x$ac_cv_have_decl__WIN64" = xyes; then : -ac_cv_have_decl__WIN64=no -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: $ac_cv_have_decl__WIN64" >&5 -echo "${ECHO_T}$ac_cv_have_decl__WIN64" >&6 -if test $ac_cv_have_decl__WIN64 = yes; then - : else CC="\"${PATH64}/cl.exe\" -I\"${MSSDK}/Include\" \ -I\"${MSSDK}/Include/crt\" \ @@ -3940,15 +4376,11 @@ fi SDKROOT=`echo "$SDKROOT" | sed -e 's!\\\!/!g'` CELIB_DIR=`echo "$CELIB_DIR" | sed -e 's!\\\!/!g'` if test ! -d "${CELIB_DIR}/inc"; then - { { echo "$as_me:$LINENO: error: Invalid celib directory \"${CELIB_DIR}\"" >&5 -echo "$as_me: error: Invalid celib directory \"${CELIB_DIR}\"" >&2;} - { (exit 1); exit 1; }; } + as_fn_error $? "Invalid celib directory \"${CELIB_DIR}\"" "$LINENO" 5 fi if test ! -d "${SDKROOT}/${OSVERSION}/${PLATFORM}/Lib/${TARGETCPU}"\ -o ! -d "${WCEROOT}/EVC/${OSVERSION}/bin"; then - { { echo "$as_me:$LINENO: error: could not find PocketPC SDK or target compiler to enable WinCE mode $CEVERSION,$TARGETCPU,$ARCH,$PLATFORM" >&5 -echo "$as_me: error: could not find PocketPC SDK or target compiler to enable WinCE mode $CEVERSION,$TARGETCPU,$ARCH,$PLATFORM" >&2;} - { (exit 1); exit 1; }; } + as_fn_error $? "could not find PocketPC SDK or target compiler to enable WinCE mode $CEVERSION,$TARGETCPU,$ARCH,$PLATFORM" "$LINENO" 5 else CEINCLUDE="${SDKROOT}/${OSVERSION}/${PLATFORM}/include" if test -d "${CEINCLUDE}/${TARGETCPU}" ; then @@ -4044,26 +4476,20 @@ _ACEOF fi if test "$do64bit" != "no" ; then - cat >>confdefs.h <<\_ACEOF -#define TCL_CFG_DO64BIT 1 -_ACEOF + $as_echo "#define TCL_CFG_DO64BIT 1" >>confdefs.h fi if test "${GCC}" = "yes" ; then - echo "$as_me:$LINENO: checking for SEH support in compiler" >&5 -echo $ECHO_N "checking for SEH support in compiler... $ECHO_C" >&6 -if test "${tcl_cv_seh+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for SEH support in compiler" >&5 +$as_echo_n "checking for SEH support in compiler... " >&6; } +if ${tcl_cv_seh+:} false; then : + $as_echo_n "(cached) " >&6 else - if test "$cross_compiling" = yes; then + if test "$cross_compiling" = yes; then : tcl_cv_seh=no else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #define WIN32_LEAN_AND_MEAN @@ -4082,37 +4508,22 @@ cat >>conftest.$ac_ext <<_ACEOF } _ACEOF -rm -f conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && { ac_try='./conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_run "$LINENO"; then : tcl_cv_seh=yes else - echo "$as_me: program exited with status $ac_status" >&5 -echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -( exit $ac_status ) -tcl_cv_seh=no + tcl_cv_seh=no fi -rm -f core *.core gmon.out bb.out conftest$ac_exeext conftest.$ac_objext conftest.$ac_ext +rm -f core *.core core.conftest.* gmon.out bb.out conftest$ac_exeext \ + conftest.$ac_objext conftest.beam conftest.$ac_ext fi + fi -echo "$as_me:$LINENO: result: $tcl_cv_seh" >&5 -echo "${ECHO_T}$tcl_cv_seh" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_seh" >&5 +$as_echo "$tcl_cv_seh" >&6; } if test "$tcl_cv_seh" = "no" ; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_NO_SEH 1 -_ACEOF +$as_echo "#define HAVE_NO_SEH 1" >>confdefs.h fi @@ -4122,16 +4533,12 @@ _ACEOF # with Cygwin's version as of 2002-04-10, define it to be int, # sufficient for getting the current code to work. # - echo "$as_me:$LINENO: checking for EXCEPTION_DISPOSITION support in include files" >&5 -echo $ECHO_N "checking for EXCEPTION_DISPOSITION support in include files... $ECHO_C" >&6 -if test "${tcl_cv_eh_disposition+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for EXCEPTION_DISPOSITION support in include files" >&5 +$as_echo_n "checking for EXCEPTION_DISPOSITION support in include files... " >&6; } +if ${tcl_cv_eh_disposition+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ # define WIN32_LEAN_AND_MEAN @@ -4148,45 +4555,19 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_eh_disposition=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_eh_disposition=no + tcl_cv_eh_disposition=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_eh_disposition" >&5 -echo "${ECHO_T}$tcl_cv_eh_disposition" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_eh_disposition" >&5 +$as_echo "$tcl_cv_eh_disposition" >&6; } if test "$tcl_cv_eh_disposition" = "no" ; then -cat >>confdefs.h <<\_ACEOF -#define EXCEPTION_DISPOSITION int -_ACEOF +$as_echo "#define EXCEPTION_DISPOSITION int" >>confdefs.h fi @@ -4194,16 +4575,12 @@ _ACEOF # even if VOID has already been #defined. The win32api # used by mingw and cygwin is known to do this. - echo "$as_me:$LINENO: checking for winnt.h that ignores VOID define" >&5 -echo $ECHO_N "checking for winnt.h that ignores VOID define... $ECHO_C" >&6 -if test "${tcl_cv_winnt_ignore_void+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for winnt.h that ignores VOID define" >&5 +$as_echo_n "checking for winnt.h that ignores VOID define... " >&6; } +if ${tcl_cv_winnt_ignore_void+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #define VOID void @@ -4223,45 +4600,19 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_winnt_ignore_void=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_winnt_ignore_void=no + tcl_cv_winnt_ignore_void=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_winnt_ignore_void" >&5 -echo "${ECHO_T}$tcl_cv_winnt_ignore_void" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_winnt_ignore_void" >&5 +$as_echo "$tcl_cv_winnt_ignore_void" >&6; } if test "$tcl_cv_winnt_ignore_void" = "yes" ; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_WINNT_IGNORE_VOID 1 -_ACEOF +$as_echo "#define HAVE_WINNT_IGNORE_VOID 1" >>confdefs.h fi @@ -4269,16 +4620,12 @@ _ACEOF # This is used to stop gcc from printing a compiler # warning when initializing a union member. - echo "$as_me:$LINENO: checking for cast to union support" >&5 -echo $ECHO_N "checking for cast to union support... $ECHO_C" >&6 -if test "${tcl_cv_cast_to_union+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for cast to union support" >&5 +$as_echo_n "checking for cast to union support... " >&6; } +if ${tcl_cv_cast_to_union+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -4292,45 +4639,19 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_cast_to_union=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_cast_to_union=no + tcl_cv_cast_to_union=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_cast_to_union" >&5 -echo "${ECHO_T}$tcl_cv_cast_to_union" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_cast_to_union" >&5 +$as_echo "$tcl_cv_cast_to_union" >&6; } if test "$tcl_cv_cast_to_union" = "yes"; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_CAST_TO_UNION 1 -_ACEOF +$as_echo "#define HAVE_CAST_TO_UNION 1" >>confdefs.h fi fi @@ -4357,7 +4678,7 @@ esac # as we just assume that the platform hasn't got a usable z.lib #------------------------------------------------------------------------ -if test "${enable_shared+set}" = "set"; then +if test "${enable_shared+set}" = "set"; then : enableval="$enable_shared" tcl_ok=$enableval @@ -4367,14 +4688,13 @@ else tcl_ok=yes fi - -if test "$tcl_ok" = "yes"; then +if test "$tcl_ok" = "yes"; then : ZLIB_DLL_FILE=\${ZLIB_DLL_FILE} - if test "$do64bit" = "yes"; then + if test "$do64bit" = "yes"; then : - if test "$GCC" == "yes"; then + if test "$GCC" == "yes"; then : ZLIB_LIBS=\${ZLIB_DIR_NATIVE}/win64/libz.dll.a @@ -4386,7 +4706,6 @@ else fi - else ZLIB_LIBS=\${ZLIB_DIR_NATIVE}/win32/zdll.lib @@ -4394,7 +4713,6 @@ else fi - else ZLIB_OBJS=\${ZLIB_OBJS} @@ -4402,137 +4720,50 @@ else fi +$as_echo "#define HAVE_ZLIB 1" >>confdefs.h -cat >>confdefs.h <<\_ACEOF -#define HAVE_ZLIB 1 -_ACEOF - - -echo "$as_me:$LINENO: checking for intptr_t" >&5 -echo $ECHO_N "checking for intptr_t... $ECHO_C" >&6 -if test "${ac_cv_type_intptr_t+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -int -main () -{ -if ((intptr_t *) 0) - return 0; -if (sizeof (intptr_t)) - return 0; - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_type_intptr_t=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 -ac_cv_type_intptr_t=no -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: $ac_cv_type_intptr_t" >&5 -echo "${ECHO_T}$ac_cv_type_intptr_t" >&6 -if test $ac_cv_type_intptr_t = yes; then +ac_fn_c_check_type "$LINENO" "intptr_t" "ac_cv_type_intptr_t" "$ac_includes_default" +if test "x$ac_cv_type_intptr_t" = xyes; then : -cat >>confdefs.h <<\_ACEOF -#define HAVE_INTPTR_T 1 -_ACEOF +$as_echo "#define HAVE_INTPTR_T 1" >>confdefs.h else - echo "$as_me:$LINENO: checking for pointer-size signed integer type" >&5 -echo $ECHO_N "checking for pointer-size signed integer type... $ECHO_C" >&6 -if test "${tcl_cv_intptr_t+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for pointer-size signed integer type" >&5 +$as_echo_n "checking for pointer-size signed integer type... " >&6; } +if ${tcl_cv_intptr_t+:} false; then : + $as_echo_n "(cached) " >&6 else for tcl_cv_intptr_t in "int" "long" "long long" none; do if test "$tcl_cv_intptr_t" != none; then - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ $ac_includes_default int main () { static int test_array [1 - 2 * !(sizeof (void *) <= sizeof ($tcl_cv_intptr_t))]; -test_array [0] = 0 +test_array [0] = 0; +return test_array [0]; ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_ok=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_ok=no + tcl_ok=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext test "$tcl_ok" = yes && break; fi done fi -echo "$as_me:$LINENO: result: $tcl_cv_intptr_t" >&5 -echo "${ECHO_T}$tcl_cv_intptr_t" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_intptr_t" >&5 +$as_echo "$tcl_cv_intptr_t" >&6; } if test "$tcl_cv_intptr_t" != none; then cat >>confdefs.h <<_ACEOF @@ -4543,132 +4774,48 @@ _ACEOF fi -echo "$as_me:$LINENO: checking for uintptr_t" >&5 -echo $ECHO_N "checking for uintptr_t... $ECHO_C" >&6 -if test "${ac_cv_type_uintptr_t+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -int -main () -{ -if ((uintptr_t *) 0) - return 0; -if (sizeof (uintptr_t)) - return 0; - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_type_uintptr_t=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_type_uintptr_t=no -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: $ac_cv_type_uintptr_t" >&5 -echo "${ECHO_T}$ac_cv_type_uintptr_t" >&6 -if test $ac_cv_type_uintptr_t = yes; then +ac_fn_c_check_type "$LINENO" "uintptr_t" "ac_cv_type_uintptr_t" "$ac_includes_default" +if test "x$ac_cv_type_uintptr_t" = xyes; then : -cat >>confdefs.h <<\_ACEOF -#define HAVE_UINTPTR_T 1 -_ACEOF +$as_echo "#define HAVE_UINTPTR_T 1" >>confdefs.h else - echo "$as_me:$LINENO: checking for pointer-size unsigned integer type" >&5 -echo $ECHO_N "checking for pointer-size unsigned integer type... $ECHO_C" >&6 -if test "${tcl_cv_uintptr_t+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for pointer-size unsigned integer type" >&5 +$as_echo_n "checking for pointer-size unsigned integer type... " >&6; } +if ${tcl_cv_uintptr_t+:} false; then : + $as_echo_n "(cached) " >&6 else for tcl_cv_uintptr_t in "unsigned int" "unsigned long" "unsigned long long" \ none; do if test "$tcl_cv_uintptr_t" != none; then - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ $ac_includes_default int main () { static int test_array [1 - 2 * !(sizeof (void *) <= sizeof ($tcl_cv_uintptr_t))]; -test_array [0] = 0 +test_array [0] = 0; +return test_array [0]; ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_ok=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_ok=no + tcl_ok=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext test "$tcl_ok" = yes && break; fi done fi -echo "$as_me:$LINENO: result: $tcl_cv_uintptr_t" >&5 -echo "${ECHO_T}$tcl_cv_uintptr_t" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_uintptr_t" >&5 +$as_echo "$tcl_cv_uintptr_t" >&6; } if test "$tcl_cv_uintptr_t" != none; then cat >>confdefs.h <<_ACEOF @@ -4688,16 +4835,12 @@ fi # missing from winbase.h. This is known to be # a problem with VC++ 5.2. -echo "$as_me:$LINENO: checking for FINDEX_INFO_LEVELS in winbase.h" >&5 -echo $ECHO_N "checking for FINDEX_INFO_LEVELS in winbase.h... $ECHO_C" >&6 -if test "${tcl_cv_findex_enums+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for FINDEX_INFO_LEVELS in winbase.h" >&5 +$as_echo_n "checking for FINDEX_INFO_LEVELS in winbase.h... " >&6; } +if ${tcl_cv_findex_enums+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #define WIN32_LEAN_AND_MEAN @@ -4715,60 +4858,30 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_findex_enums=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_findex_enums=no + tcl_cv_findex_enums=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_findex_enums" >&5 -echo "${ECHO_T}$tcl_cv_findex_enums" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_findex_enums" >&5 +$as_echo "$tcl_cv_findex_enums" >&6; } if test "$tcl_cv_findex_enums" = "no"; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_NO_FINDEX_ENUMS 1 -_ACEOF +$as_echo "#define HAVE_NO_FINDEX_ENUMS 1" >>confdefs.h fi # See if the compiler supports intrinsics. -echo "$as_me:$LINENO: checking for intrinsics support in compiler" >&5 -echo $ECHO_N "checking for intrinsics support in compiler... $ECHO_C" >&6 -if test "${tcl_cv_intrinsics+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for intrinsics support in compiler" >&5 +$as_echo_n "checking for intrinsics support in compiler... " >&6; } +if ${tcl_cv_intrinsics+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #define WIN32_LEAN_AND_MEAN @@ -4786,61 +4899,31 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : tcl_cv_intrinsics=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_intrinsics=no + tcl_cv_intrinsics=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_intrinsics" >&5 -echo "${ECHO_T}$tcl_cv_intrinsics" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_intrinsics" >&5 +$as_echo "$tcl_cv_intrinsics" >&6; } if test "$tcl_cv_intrinsics" = "yes"; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_INTRIN_H 1 -_ACEOF +$as_echo "#define HAVE_INTRIN_H 1" >>confdefs.h fi # See if the header file is present -echo "$as_me:$LINENO: checking for wspiapi.h" >&5 -echo $ECHO_N "checking for wspiapi.h... $ECHO_C" >&6 -if test "${tcl_cv_wspiapi_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for wspiapi.h" >&5 +$as_echo_n "checking for wspiapi.h... " >&6; } +if ${tcl_cv_wspiapi_h+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include @@ -4853,45 +4936,19 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_wspiapi_h=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_wspiapi_h=no + tcl_cv_wspiapi_h=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_wspiapi_h" >&5 -echo "${ECHO_T}$tcl_cv_wspiapi_h" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_wspiapi_h" >&5 +$as_echo "$tcl_cv_wspiapi_h" >&6; } if test "$tcl_cv_wspiapi_h" = "yes"; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_WSPIAPI_H 1 -_ACEOF +$as_echo "#define HAVE_WSPIAPI_H 1" >>confdefs.h fi @@ -4899,16 +4956,12 @@ fi # missing from winbase.h. This is known to be # a problem with VC++ 5.2. -echo "$as_me:$LINENO: checking for FINDEX_INFO_LEVELS in winbase.h" >&5 -echo $ECHO_N "checking for FINDEX_INFO_LEVELS in winbase.h... $ECHO_C" >&6 -if test "${tcl_cv_findex_enums+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for FINDEX_INFO_LEVELS in winbase.h" >&5 +$as_echo_n "checking for FINDEX_INFO_LEVELS in winbase.h... " >&6; } +if ${tcl_cv_findex_enums+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #define WIN32_LEAN_AND_MEAN @@ -4926,45 +4979,19 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_findex_enums=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_findex_enums=no + tcl_cv_findex_enums=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_findex_enums" >&5 -echo "${ECHO_T}$tcl_cv_findex_enums" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_findex_enums" >&5 +$as_echo "$tcl_cv_findex_enums" >&6; } if test "$tcl_cv_findex_enums" = "no"; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_NO_FINDEX_ENUMS 1 -_ACEOF +$as_echo "#define HAVE_NO_FINDEX_ENUMS 1" >>confdefs.h fi @@ -4975,39 +5002,35 @@ fi #-------------------------------------------------------------------- - echo "$as_me:$LINENO: checking for build with symbols" >&5 -echo $ECHO_N "checking for build with symbols... $ECHO_C" >&6 - # Check whether --enable-symbols or --disable-symbols was given. -if test "${enable_symbols+set}" = set; then - enableval="$enable_symbols" - tcl_ok=$enableval + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for build with symbols" >&5 +$as_echo_n "checking for build with symbols... " >&6; } + # Check whether --enable-symbols was given. +if test "${enable_symbols+set}" = set; then : + enableval=$enable_symbols; tcl_ok=$enableval else tcl_ok=no -fi; +fi + # FIXME: Currently, LDFLAGS_DEFAULT is not used, it should work like CFLAGS_DEFAULT. if test "$tcl_ok" = "no"; then CFLAGS_DEFAULT='$(CFLAGS_OPTIMIZE)' LDFLAGS_DEFAULT='$(LDFLAGS_OPTIMIZE)' DBGX="" -cat >>confdefs.h <<\_ACEOF -#define NDEBUG 1 -_ACEOF +$as_echo "#define NDEBUG 1" >>confdefs.h - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } - cat >>confdefs.h <<\_ACEOF -#define TCL_CFG_OPTIMIZED 1 -_ACEOF + $as_echo "#define TCL_CFG_OPTIMIZED 1" >>confdefs.h else CFLAGS_DEFAULT='$(CFLAGS_DEBUG)' LDFLAGS_DEFAULT='$(LDFLAGS_DEBUG)' DBGX=g if test "$tcl_ok" = "yes"; then - echo "$as_me:$LINENO: result: yes (standard debugging)" >&5 -echo "${ECHO_T}yes (standard debugging)" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: yes (standard debugging)" >&5 +$as_echo "yes (standard debugging)" >&6; } fi fi @@ -5015,32 +5038,26 @@ echo "${ECHO_T}yes (standard debugging)" >&6 if test "$tcl_ok" = "mem" -o "$tcl_ok" = "all"; then -cat >>confdefs.h <<\_ACEOF -#define TCL_MEM_DEBUG 1 -_ACEOF +$as_echo "#define TCL_MEM_DEBUG 1" >>confdefs.h fi if test "$tcl_ok" = "compile" -o "$tcl_ok" = "all"; then -cat >>confdefs.h <<\_ACEOF -#define TCL_COMPILE_DEBUG 1 -_ACEOF +$as_echo "#define TCL_COMPILE_DEBUG 1" >>confdefs.h -cat >>confdefs.h <<\_ACEOF -#define TCL_COMPILE_STATS 1 -_ACEOF +$as_echo "#define TCL_COMPILE_STATS 1" >>confdefs.h fi if test "$tcl_ok" != "yes" -a "$tcl_ok" != "no"; then if test "$tcl_ok" = "all"; then - echo "$as_me:$LINENO: result: enabled symbols mem compile debugging" >&5 -echo "${ECHO_T}enabled symbols mem compile debugging" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: enabled symbols mem compile debugging" >&5 +$as_echo "enabled symbols mem compile debugging" >&6; } else - echo "$as_me:$LINENO: result: enabled $tcl_ok debugging" >&5 -echo "${ECHO_T}enabled $tcl_ok debugging" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: enabled $tcl_ok debugging" >&5 +$as_echo "enabled $tcl_ok debugging" >&6; } fi fi @@ -5052,15 +5069,15 @@ TCL_DBGX=${DBGX} #-------------------------------------------------------------------- - echo "$as_me:$LINENO: checking whether to embed manifest" >&5 -echo $ECHO_N "checking whether to embed manifest... $ECHO_C" >&6 - # Check whether --enable-embedded-manifest or --disable-embedded-manifest was given. -if test "${enable_embedded_manifest+set}" = set; then - enableval="$enable_embedded_manifest" - embed_ok=$enableval + { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether to embed manifest" >&5 +$as_echo_n "checking whether to embed manifest... " >&6; } + # Check whether --enable-embedded-manifest was given. +if test "${enable_embedded_manifest+set}" = set; then : + enableval=$enable_embedded_manifest; embed_ok=$enableval else embed_ok=yes -fi; +fi + VC_MANIFEST_EMBED_DLL= VC_MANIFEST_EMBED_EXE= @@ -5068,11 +5085,7 @@ fi; if test "$embed_ok" = "yes" -a "${SHARED_BUILD}" = "1" \ -a "$GCC" != "yes" ; then # Add the magic to embed the manifest into the dll/exe - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #if defined(_MSC_VER) && _MSC_VER >= 1400 @@ -5081,7 +5094,7 @@ print("manifest needed") _ACEOF if (eval "$ac_cpp conftest.$ac_ext") 2>&5 | - $EGREP "manifest needed" >/dev/null 2>&1; then + $EGREP "manifest needed" >/dev/null 2>&1; then : # Could do a CHECK_PROG for mt, but should always be with MSVC8+ # Could add 'if test -f' check, but manifest should be created @@ -5100,8 +5113,8 @@ fi rm -f conftest* fi - echo "$as_me:$LINENO: result: $result" >&5 -echo "${ECHO_T}$result" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $result" >&5 +$as_echo "$result" >&6; } @@ -5287,7 +5300,8 @@ TCL_WIN_VERSION="$TCL_VERSION.$TCL_RELEASE_LEVEL.`echo $TCL_PATCH_LEVEL | tr -d - ac_config_files="$ac_config_files Makefile tclConfig.sh tcl.hpj tclsh.exe.manifest" +ac_config_files="$ac_config_files Makefile tclConfig.sh tcl.hpj tclsh.exe.manifest" + cat >confcache <<\_ACEOF # This file is a shell script that caches the results of configure # tests run on this system so they can be shared between configure @@ -5306,39 +5320,70 @@ _ACEOF # The following way of writing the cache mishandles newlines in values, # but we know of no workaround that is simple, portable, and efficient. -# So, don't put newlines in cache variables' values. +# So, we kill variables containing newlines. # Ultrix sh set writes to stderr and can't be redirected directly, # and sets the high bit in the cache file unless we assign to the vars. -{ +( + for ac_var in `(set) 2>&1 | sed -n 's/^\([a-zA-Z_][a-zA-Z0-9_]*\)=.*/\1/p'`; do + eval ac_val=\$$ac_var + case $ac_val in #( + *${as_nl}*) + case $ac_var in #( + *_cv_*) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: cache variable $ac_var contains a newline" >&5 +$as_echo "$as_me: WARNING: cache variable $ac_var contains a newline" >&2;} ;; + esac + case $ac_var in #( + _ | IFS | as_nl) ;; #( + BASH_ARGV | BASH_SOURCE) eval $ac_var= ;; #( + *) { eval $ac_var=; unset $ac_var;} ;; + esac ;; + esac + done + (set) 2>&1 | - case `(ac_space=' '; set | grep ac_space) 2>&1` in - *ac_space=\ *) - # `set' does not quote correctly, so add quotes (double-quote - # substitution turns \\\\ into \\, and sed turns \\ into \). + case $as_nl`(ac_space=' '; set) 2>&1` in #( + *${as_nl}ac_space=\ *) + # `set' does not quote correctly, so add quotes: double-quote + # substitution turns \\\\ into \\, and sed turns \\ into \. sed -n \ "s/'/'\\\\''/g; s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1='\\2'/p" - ;; + ;; #( *) # `set' quotes correctly as required by POSIX, so do not add quotes. - sed -n \ - "s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1=\\2/p" + sed -n "/^[_$as_cr_alnum]*_cv_[_$as_cr_alnum]*=/p" ;; - esac; -} | + esac | + sort +) | sed ' + /^ac_cv_env_/b end t clear - : clear + :clear s/^\([^=]*\)=\(.*[{}].*\)$/test "${\1+set}" = set || &/ t end - /^ac_cv_env/!s/^\([^=]*\)=\(.*\)$/\1=${\1=\2}/ - : end' >>confcache -if diff $cache_file confcache >/dev/null 2>&1; then :; else - if test -w $cache_file; then - test "x$cache_file" != "x/dev/null" && echo "updating cache $cache_file" - cat confcache >$cache_file + s/^\([^=]*\)=\(.*\)$/\1=${\1=\2}/ + :end' >>confcache +if diff "$cache_file" confcache >/dev/null 2>&1; then :; else + if test -w "$cache_file"; then + if test "x$cache_file" != "x/dev/null"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: updating cache $cache_file" >&5 +$as_echo "$as_me: updating cache $cache_file" >&6;} + if test ! -f "$cache_file" || test -h "$cache_file"; then + cat confcache >"$cache_file" + else + case $cache_file in #( + */* | ?:*) + mv -f confcache "$cache_file"$$ && + mv -f "$cache_file"$$ "$cache_file" ;; #( + *) + mv -f confcache "$cache_file" ;; + esac + fi + fi else - echo "not updating unwritable cache $cache_file" + { $as_echo "$as_me:${as_lineno-$LINENO}: not updating unwritable cache $cache_file" >&5 +$as_echo "$as_me: not updating unwritable cache $cache_file" >&6;} fi fi rm -f confcache @@ -5347,63 +5392,55 @@ test "x$prefix" = xNONE && prefix=$ac_default_prefix # Let make expand exec_prefix. test "x$exec_prefix" = xNONE && exec_prefix='${prefix}' -# VPATH may cause trouble with some makes, so we remove $(srcdir), -# ${srcdir} and @srcdir@ from VPATH if srcdir is ".", strip leading and -# trailing colons and then remove the whole line if VPATH becomes empty -# (actually we leave an empty line to preserve line numbers). -if test "x$srcdir" = x.; then - ac_vpsub='/^[ ]*VPATH[ ]*=/{ -s/:*\$(srcdir):*/:/; -s/:*\${srcdir}:*/:/; -s/:*@srcdir@:*/:/; -s/^\([^=]*=[ ]*\):*/\1/; -s/:*$//; -s/^[^=]*=[ ]*$//; -}' -fi - # Transform confdefs.h into DEFS. # Protect against shell expansion while executing Makefile rules. # Protect against Makefile macro expansion. # # If the first sed substitution is executed (which looks for macros that -# take arguments), then we branch to the quote section. Otherwise, +# take arguments), then branch to the quote section. Otherwise, # look for a macro that doesn't take arguments. -cat >confdef2opt.sed <<\_ACEOF +ac_script=' +:mline +/\\$/{ + N + s,\\\n,, + b mline +} t clear -: clear -s,^[ ]*#[ ]*define[ ][ ]*\([^ (][^ (]*([^)]*)\)[ ]*\(.*\),-D\1=\2,g +:clear +s/^[ ]*#[ ]*define[ ][ ]*\([^ (][^ (]*([^)]*)\)[ ]*\(.*\)/-D\1=\2/g t quote -s,^[ ]*#[ ]*define[ ][ ]*\([^ ][^ ]*\)[ ]*\(.*\),-D\1=\2,g +s/^[ ]*#[ ]*define[ ][ ]*\([^ ][^ ]*\)[ ]*\(.*\)/-D\1=\2/g t quote -d -: quote -s,[ `~#$^&*(){}\\|;'"<>?],\\&,g -s,\[,\\&,g -s,\],\\&,g -s,\$,$$,g -p -_ACEOF -# We use echo to avoid assuming a particular line-breaking character. -# The extra dot is to prevent the shell from consuming trailing -# line-breaks from the sub-command output. A line-break within -# single-quotes doesn't work because, if this script is created in a -# platform that uses two characters for line-breaks (e.g., DOS), tr -# would break. -ac_LF_and_DOT=`echo; echo .` -DEFS=`sed -n -f confdef2opt.sed confdefs.h | tr "$ac_LF_and_DOT" ' .'` -rm -f confdef2opt.sed +b any +:quote +s/[ `~#$^&*(){}\\|;'\''"<>?]/\\&/g +s/\[/\\&/g +s/\]/\\&/g +s/\$/$$/g +H +:any +${ + g + s/^\n// + s/\n/ /g + p +} +' +DEFS=`sed -n "$ac_script" confdefs.h` ac_libobjs= ac_ltlibobjs= +U= for ac_i in : $LIBOBJS; do test "x$ac_i" = x: && continue # 1. Remove the extension, and $U if already installed. - ac_i=`echo "$ac_i" | - sed 's/\$U\././;s/\.o$//;s/\.obj$//'` - # 2. Add them. - ac_libobjs="$ac_libobjs $ac_i\$U.$ac_objext" - ac_ltlibobjs="$ac_ltlibobjs $ac_i"'$U.lo' + ac_script='s/\$U\././;s/\.o$//;s/\.obj$//' + ac_i=`$as_echo "$ac_i" | sed "$ac_script"` + # 2. Prepend LIBOBJDIR. When used with automake>=1.10 LIBOBJDIR + # will be set to the directory where LIBOBJS objects are built. + as_fn_append ac_libobjs " \${LIBOBJDIR}$ac_i\$U.$ac_objext" + as_fn_append ac_ltlibobjs " \${LIBOBJDIR}$ac_i"'$U.lo' done LIBOBJS=$ac_libobjs @@ -5411,12 +5448,14 @@ LTLIBOBJS=$ac_ltlibobjs -: ${CONFIG_STATUS=./config.status} +: "${CONFIG_STATUS=./config.status}" +ac_write_fail=0 ac_clean_files_save=$ac_clean_files ac_clean_files="$ac_clean_files $CONFIG_STATUS" -{ echo "$as_me:$LINENO: creating $CONFIG_STATUS" >&5 -echo "$as_me: creating $CONFIG_STATUS" >&6;} -cat >$CONFIG_STATUS <<_ACEOF +{ $as_echo "$as_me:${as_lineno-$LINENO}: creating $CONFIG_STATUS" >&5 +$as_echo "$as_me: creating $CONFIG_STATUS" >&6;} +as_write_fail=0 +cat >$CONFIG_STATUS <<_ASEOF || as_write_fail=1 #! $SHELL # Generated by $as_me. # Run this file to recreate the current configuration. @@ -5426,81 +5465,253 @@ cat >$CONFIG_STATUS <<_ACEOF debug=false ac_cs_recheck=false ac_cs_silent=false -SHELL=\${CONFIG_SHELL-$SHELL} -_ACEOF - -cat >>$CONFIG_STATUS <<\_ACEOF -## --------------------- ## -## M4sh Initialization. ## -## --------------------- ## -# Be Bourne compatible -if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then +SHELL=\${CONFIG_SHELL-$SHELL} +export SHELL +_ASEOF +cat >>$CONFIG_STATUS <<\_ASEOF || as_write_fail=1 +## -------------------- ## +## M4sh Initialization. ## +## -------------------- ## + +# Be more Bourne compatible +DUALCASE=1; export DUALCASE # for MKS sh +if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then : emulate sh NULLCMD=: - # Zsh 3.x and 4.x performs word splitting on ${1+"$@"}, which + # Pre-4.2 versions of Zsh do word splitting on ${1+"$@"}, which # is contrary to our usage. Disable this feature. alias -g '${1+"$@"}'='"$@"' -elif test -n "${BASH_VERSION+set}" && (set -o posix) >/dev/null 2>&1; then - set -o posix + setopt NO_GLOB_SUBST +else + case `(set -o) 2>/dev/null` in #( + *posix*) : + set -o posix ;; #( + *) : + ;; +esac fi -DUALCASE=1; export DUALCASE # for MKS sh -# Support unset when possible. -if ( (MAIL=60; unset MAIL) || exit) >/dev/null 2>&1; then - as_unset=unset -else - as_unset=false + +as_nl=' +' +export as_nl +# Printing a long string crashes Solaris 7 /usr/bin/printf. +as_echo='\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\' +as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo +as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo$as_echo +# Prefer a ksh shell builtin over an external printf program on Solaris, +# but without wasting forks for bash or zsh. +if test -z "$BASH_VERSION$ZSH_VERSION" \ + && (test "X`print -r -- $as_echo`" = "X$as_echo") 2>/dev/null; then + as_echo='print -r --' + as_echo_n='print -rn --' +elif (test "X`printf %s $as_echo`" = "X$as_echo") 2>/dev/null; then + as_echo='printf %s\n' + as_echo_n='printf %s' +else + if test "X`(/usr/ucb/echo -n -n $as_echo) 2>/dev/null`" = "X-n $as_echo"; then + as_echo_body='eval /usr/ucb/echo -n "$1$as_nl"' + as_echo_n='/usr/ucb/echo -n' + else + as_echo_body='eval expr "X$1" : "X\\(.*\\)"' + as_echo_n_body='eval + arg=$1; + case $arg in #( + *"$as_nl"*) + expr "X$arg" : "X\\(.*\\)$as_nl"; + arg=`expr "X$arg" : ".*$as_nl\\(.*\\)"`;; + esac; + expr "X$arg" : "X\\(.*\\)" | tr -d "$as_nl" + ' + export as_echo_n_body + as_echo_n='sh -c $as_echo_n_body as_echo' + fi + export as_echo_body + as_echo='sh -c $as_echo_body as_echo' +fi + +# The user is always right. +if test "${PATH_SEPARATOR+set}" != set; then + PATH_SEPARATOR=: + (PATH='/bin;/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 && { + (PATH='/bin:/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 || + PATH_SEPARATOR=';' + } fi -# Work around bugs in pre-3.0 UWIN ksh. -$as_unset ENV MAIL MAILPATH +# IFS +# We need space, tab and new line, in precisely that order. Quoting is +# there to prevent editors from complaining about space-tab. +# (If _AS_PATH_WALK were called with IFS unset, it would disable word +# splitting by setting IFS to empty value.) +IFS=" "" $as_nl" + +# Find who we are. Look in the path if we contain no directory separator. +as_myself= +case $0 in #(( + *[\\/]* ) as_myself=$0 ;; + *) as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + test -r "$as_dir/$0" && as_myself=$as_dir/$0 && break + done +IFS=$as_save_IFS + + ;; +esac +# We did not find ourselves, most probably we were run as `sh COMMAND' +# in which case we are not to be found in the path. +if test "x$as_myself" = x; then + as_myself=$0 +fi +if test ! -f "$as_myself"; then + $as_echo "$as_myself: error: cannot find myself; rerun with an absolute file name" >&2 + exit 1 +fi + +# Unset variables that we do not need and which cause bugs (e.g. in +# pre-3.0 UWIN ksh). But do not cause bugs in bash 2.01; the "|| exit 1" +# suppresses any "Segmentation fault" message there. '((' could +# trigger a bug in pdksh 5.2.14. +for as_var in BASH_ENV ENV MAIL MAILPATH +do eval test x\${$as_var+set} = xset \ + && ( (unset $as_var) || exit 1) >/dev/null 2>&1 && unset $as_var || : +done PS1='$ ' PS2='> ' PS4='+ ' # NLS nuisances. -for as_var in \ - LANG LANGUAGE LC_ADDRESS LC_ALL LC_COLLATE LC_CTYPE LC_IDENTIFICATION \ - LC_MEASUREMENT LC_MESSAGES LC_MONETARY LC_NAME LC_NUMERIC LC_PAPER \ - LC_TELEPHONE LC_TIME -do - if (set +x; test -z "`(eval $as_var=C; export $as_var) 2>&1`"); then - eval $as_var=C; export $as_var - else - $as_unset $as_var +LC_ALL=C +export LC_ALL +LANGUAGE=C +export LANGUAGE + +# CDPATH. +(unset CDPATH) >/dev/null 2>&1 && unset CDPATH + + +# as_fn_error STATUS ERROR [LINENO LOG_FD] +# ---------------------------------------- +# Output "`basename $0`: error: ERROR" to stderr. If LINENO and LOG_FD are +# provided, also output the error to LOG_FD, referencing LINENO. Then exit the +# script with STATUS, using 1 if that was 0. +as_fn_error () +{ + as_status=$1; test $as_status -eq 0 && as_status=1 + if test "$4"; then + as_lineno=${as_lineno-"$3"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + $as_echo "$as_me:${as_lineno-$LINENO}: error: $2" >&$4 fi -done + $as_echo "$as_me: error: $2" >&2 + as_fn_exit $as_status +} # as_fn_error + -# Required to use basename. -if expr a : '\(a\)' >/dev/null 2>&1; then +# as_fn_set_status STATUS +# ----------------------- +# Set $? to STATUS, without forking. +as_fn_set_status () +{ + return $1 +} # as_fn_set_status + +# as_fn_exit STATUS +# ----------------- +# Exit the shell with STATUS, even in a "trap 0" or "set -e" context. +as_fn_exit () +{ + set +e + as_fn_set_status $1 + exit $1 +} # as_fn_exit + +# as_fn_unset VAR +# --------------- +# Portably unset VAR. +as_fn_unset () +{ + { eval $1=; unset $1;} +} +as_unset=as_fn_unset +# as_fn_append VAR VALUE +# ---------------------- +# Append the text in VALUE to the end of the definition contained in VAR. Take +# advantage of any shell optimizations that allow amortized linear growth over +# repeated appends, instead of the typical quadratic growth present in naive +# implementations. +if (eval "as_var=1; as_var+=2; test x\$as_var = x12") 2>/dev/null; then : + eval 'as_fn_append () + { + eval $1+=\$2 + }' +else + as_fn_append () + { + eval $1=\$$1\$2 + } +fi # as_fn_append + +# as_fn_arith ARG... +# ------------------ +# Perform arithmetic evaluation on the ARGs, and store the result in the +# global $as_val. Take advantage of shells that can avoid forks. The arguments +# must be portable across $(()) and expr. +if (eval "test \$(( 1 + 1 )) = 2") 2>/dev/null; then : + eval 'as_fn_arith () + { + as_val=$(( $* )) + }' +else + as_fn_arith () + { + as_val=`expr "$@" || test $? -eq 1` + } +fi # as_fn_arith + + +if expr a : '\(a\)' >/dev/null 2>&1 && + test "X`expr 00001 : '.*\(...\)'`" = X001; then as_expr=expr else as_expr=false fi -if (basename /) >/dev/null 2>&1 && test "X`basename / 2>&1`" = "X/"; then +if (basename -- /) >/dev/null 2>&1 && test "X`basename -- / 2>&1`" = "X/"; then as_basename=basename else as_basename=false fi +if (as_dir=`dirname -- /` && test "X$as_dir" = X/) >/dev/null 2>&1; then + as_dirname=dirname +else + as_dirname=false +fi -# Name of the executable. -as_me=`$as_basename "$0" || +as_me=`$as_basename -- "$0" || $as_expr X/"$0" : '.*/\([^/][^/]*\)/*$' \| \ X"$0" : 'X\(//\)$' \| \ - X"$0" : 'X\(/\)$' \| \ - . : '\(.\)' 2>/dev/null || -echo X/"$0" | - sed '/^.*\/\([^/][^/]*\)\/*$/{ s//\1/; q; } - /^X\/\(\/\/\)$/{ s//\1/; q; } - /^X\/\(\/\).*/{ s//\1/; q; } - s/.*/./; q'` - + X"$0" : 'X\(/\)' \| . 2>/dev/null || +$as_echo X/"$0" | + sed '/^.*\/\([^/][^/]*\)\/*$/{ + s//\1/ + q + } + /^X\/\(\/\/\)$/{ + s//\1/ + q + } + /^X\/\(\/\).*/{ + s//\1/ + q + } + s/.*/./; q'` -# PATH needs CR, and LINENO needs CR and PATH. # Avoid depending upon Character Ranges. as_cr_letters='abcdefghijklmnopqrstuvwxyz' as_cr_LETTERS='ABCDEFGHIJKLMNOPQRSTUVWXYZ' @@ -5508,148 +5719,111 @@ as_cr_Letters=$as_cr_letters$as_cr_LETTERS as_cr_digits='0123456789' as_cr_alnum=$as_cr_Letters$as_cr_digits -# The user is always right. -if test "${PATH_SEPARATOR+set}" != set; then - echo "#! /bin/sh" >conf$$.sh - echo "exit 0" >>conf$$.sh - chmod +x conf$$.sh - if (PATH="/nonexistent;."; conf$$.sh) >/dev/null 2>&1; then - PATH_SEPARATOR=';' - else - PATH_SEPARATOR=: - fi - rm -f conf$$.sh -fi - - - as_lineno_1=$LINENO - as_lineno_2=$LINENO - as_lineno_3=`(expr $as_lineno_1 + 1) 2>/dev/null` - test "x$as_lineno_1" != "x$as_lineno_2" && - test "x$as_lineno_3" = "x$as_lineno_2" || { - # Find who we are. Look in the path if we contain no path at all - # relative or not. - case $0 in - *[\\/]* ) as_myself=$0 ;; - *) as_save_IFS=$IFS; IFS=$PATH_SEPARATOR -for as_dir in $PATH -do - IFS=$as_save_IFS - test -z "$as_dir" && as_dir=. - test -r "$as_dir/$0" && as_myself=$as_dir/$0 && break -done - - ;; - esac - # We did not find ourselves, most probably we were run as `sh COMMAND' - # in which case we are not to be found in the path. - if test "x$as_myself" = x; then - as_myself=$0 - fi - if test ! -f "$as_myself"; then - { { echo "$as_me:$LINENO: error: cannot find myself; rerun with an absolute path" >&5 -echo "$as_me: error: cannot find myself; rerun with an absolute path" >&2;} - { (exit 1); exit 1; }; } - fi - case $CONFIG_SHELL in - '') - as_save_IFS=$IFS; IFS=$PATH_SEPARATOR -for as_dir in /bin$PATH_SEPARATOR/usr/bin$PATH_SEPARATOR$PATH -do - IFS=$as_save_IFS - test -z "$as_dir" && as_dir=. - for as_base in sh bash ksh sh5; do - case $as_dir in - /*) - if ("$as_dir/$as_base" -c ' - as_lineno_1=$LINENO - as_lineno_2=$LINENO - as_lineno_3=`(expr $as_lineno_1 + 1) 2>/dev/null` - test "x$as_lineno_1" != "x$as_lineno_2" && - test "x$as_lineno_3" = "x$as_lineno_2" ') 2>/dev/null; then - $as_unset BASH_ENV || test "${BASH_ENV+set}" != set || { BASH_ENV=; export BASH_ENV; } - $as_unset ENV || test "${ENV+set}" != set || { ENV=; export ENV; } - CONFIG_SHELL=$as_dir/$as_base - export CONFIG_SHELL - exec "$CONFIG_SHELL" "$0" ${1+"$@"} - fi;; - esac - done -done -;; - esac - - # Create $as_me.lineno as a copy of $as_myself, but with $LINENO - # uniformly replaced by the line number. The first 'sed' inserts a - # line-number line before each line; the second 'sed' does the real - # work. The second script uses 'N' to pair each line-number line - # with the numbered line, and appends trailing '-' during - # substitution so that $LINENO is not a special case at line end. - # (Raja R Harinath suggested sed '=', and Paul Eggert wrote the - # second 'sed' script. Blame Lee E. McMahon for sed's syntax. :-) - sed '=' <$as_myself | - sed ' - N - s,$,-, - : loop - s,^\(['$as_cr_digits']*\)\(.*\)[$]LINENO\([^'$as_cr_alnum'_]\),\1\2\1\3, - t loop - s,-$,, - s,^['$as_cr_digits']*\n,, - ' >$as_me.lineno && - chmod +x $as_me.lineno || - { { echo "$as_me:$LINENO: error: cannot create $as_me.lineno; rerun with a POSIX shell" >&5 -echo "$as_me: error: cannot create $as_me.lineno; rerun with a POSIX shell" >&2;} - { (exit 1); exit 1; }; } - - # Don't try to exec as it changes $[0], causing all sort of problems - # (the dirname of $[0] is not the place where we might find the - # original and so on. Autoconf is especially sensible to this). - . ./$as_me.lineno - # Exit status is that of the last command. - exit -} - - -case `echo "testing\c"; echo 1,2,3`,`echo -n testing; echo 1,2,3` in - *c*,-n*) ECHO_N= ECHO_C=' -' ECHO_T=' ' ;; - *c*,* ) ECHO_N=-n ECHO_C= ECHO_T= ;; - *) ECHO_N= ECHO_C='\c' ECHO_T= ;; +ECHO_C= ECHO_N= ECHO_T= +case `echo -n x` in #((((( +-n*) + case `echo 'xy\c'` in + *c*) ECHO_T=' ';; # ECHO_T is single tab character. + xy) ECHO_C='\c';; + *) echo `echo ksh88 bug on AIX 6.1` > /dev/null + ECHO_T=' ';; + esac;; +*) + ECHO_N='-n';; esac -if expr a : '\(a\)' >/dev/null 2>&1; then - as_expr=expr +rm -f conf$$ conf$$.exe conf$$.file +if test -d conf$$.dir; then + rm -f conf$$.dir/conf$$.file else - as_expr=false + rm -f conf$$.dir + mkdir conf$$.dir 2>/dev/null fi - -rm -f conf$$ conf$$.exe conf$$.file -echo >conf$$.file -if ln -s conf$$.file conf$$ 2>/dev/null; then - # We could just check for DJGPP; but this test a) works b) is more generic - # and c) will remain valid once DJGPP supports symlinks (DJGPP 2.04). - if test -f conf$$.exe; then - # Don't use ln at all; we don't have any links - as_ln_s='cp -p' - else +if (echo >conf$$.file) 2>/dev/null; then + if ln -s conf$$.file conf$$ 2>/dev/null; then as_ln_s='ln -s' + # ... but there are two gotchas: + # 1) On MSYS, both `ln -s file dir' and `ln file dir' fail. + # 2) DJGPP < 2.04 has no symlinks; `ln -s' creates a wrapper executable. + # In both cases, we have to default to `cp -pR'. + ln -s conf$$.file conf$$.dir 2>/dev/null && test ! -f conf$$.exe || + as_ln_s='cp -pR' + elif ln conf$$.file conf$$ 2>/dev/null; then + as_ln_s=ln + else + as_ln_s='cp -pR' fi -elif ln conf$$.file conf$$ 2>/dev/null; then - as_ln_s=ln else - as_ln_s='cp -p' + as_ln_s='cp -pR' fi -rm -f conf$$ conf$$.exe conf$$.file +rm -f conf$$ conf$$.exe conf$$.dir/conf$$.file conf$$.file +rmdir conf$$.dir 2>/dev/null + + +# as_fn_mkdir_p +# ------------- +# Create "$as_dir" as a directory, including parents if necessary. +as_fn_mkdir_p () +{ + case $as_dir in #( + -*) as_dir=./$as_dir;; + esac + test -d "$as_dir" || eval $as_mkdir_p || { + as_dirs= + while :; do + case $as_dir in #( + *\'*) as_qdir=`$as_echo "$as_dir" | sed "s/'/'\\\\\\\\''/g"`;; #'( + *) as_qdir=$as_dir;; + esac + as_dirs="'$as_qdir' $as_dirs" + as_dir=`$as_dirname -- "$as_dir" || +$as_expr X"$as_dir" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \ + X"$as_dir" : 'X\(//\)[^/]' \| \ + X"$as_dir" : 'X\(//\)$' \| \ + X"$as_dir" : 'X\(/\)' \| . 2>/dev/null || +$as_echo X"$as_dir" | + sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{ + s//\1/ + q + } + /^X\(\/\/\)[^/].*/{ + s//\1/ + q + } + /^X\(\/\/\)$/{ + s//\1/ + q + } + /^X\(\/\).*/{ + s//\1/ + q + } + s/.*/./; q'` + test -d "$as_dir" && break + done + test -z "$as_dirs" || eval "mkdir $as_dirs" + } || test -d "$as_dir" || as_fn_error $? "cannot create directory $as_dir" + + +} # as_fn_mkdir_p if mkdir -p . 2>/dev/null; then - as_mkdir_p=: + as_mkdir_p='mkdir -p "$as_dir"' else test -d ./-p && rmdir ./-p as_mkdir_p=false fi -as_executable_p="test -f" + +# as_fn_executable_p FILE +# ----------------------- +# Test if FILE is an executable regular file. +as_fn_executable_p () +{ + test -f "$1" && test -x "$1" +} # as_fn_executable_p +as_test_x='test -x' +as_executable_p=as_fn_executable_p # Sed expression to map a string onto a valid CPP name. as_tr_cpp="eval sed 'y%*$as_cr_letters%P$as_cr_LETTERS%;s%[^_$as_cr_alnum]%_%g'" @@ -5658,31 +5832,20 @@ as_tr_cpp="eval sed 'y%*$as_cr_letters%P$as_cr_LETTERS%;s%[^_$as_cr_alnum]%_%g'" as_tr_sh="eval sed 'y%*+%pp%;s%[^_$as_cr_alnum]%_%g'" -# IFS -# We need space, tab and new line, in precisely that order. -as_nl=' -' -IFS=" $as_nl" - -# CDPATH. -$as_unset CDPATH - exec 6>&1 - -# Open the log real soon, to keep \$[0] and so on meaningful, and to +## ----------------------------------- ## +## Main body of $CONFIG_STATUS script. ## +## ----------------------------------- ## +_ASEOF +test $as_write_fail = 0 && chmod +x $CONFIG_STATUS || ac_write_fail=1 + +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +# Save the log message, to keep $0 and so on meaningful, and to # report actual input values of CONFIG_FILES etc. instead of their -# values after options handling. Logging --version etc. is OK. -exec 5>>config.log -{ - echo - sed 'h;s/./-/g;s/^.../## /;s/...$/ ##/;p;x;p;x' <<_ASBOX -## Running $as_me. ## -_ASBOX -} >&5 -cat >&5 <<_CSEOF - +# values after options handling. +ac_log=" This file was extended by $as_me, which was -generated by GNU Autoconf 2.59. Invocation command line was +generated by GNU Autoconf 2.69. Invocation command line was CONFIG_FILES = $CONFIG_FILES CONFIG_HEADERS = $CONFIG_HEADERS @@ -5690,124 +5853,116 @@ generated by GNU Autoconf 2.59. Invocation command line was CONFIG_COMMANDS = $CONFIG_COMMANDS $ $0 $@ -_CSEOF -echo "on `(hostname || uname -n) 2>/dev/null | sed 1q`" >&5 -echo >&5 +on `(hostname || uname -n) 2>/dev/null | sed 1q` +" + _ACEOF -# Files that config.status was made for. -if test -n "$ac_config_files"; then - echo "config_files=\"$ac_config_files\"" >>$CONFIG_STATUS -fi +case $ac_config_files in *" +"*) set x $ac_config_files; shift; ac_config_files=$*;; +esac -if test -n "$ac_config_headers"; then - echo "config_headers=\"$ac_config_headers\"" >>$CONFIG_STATUS -fi -if test -n "$ac_config_links"; then - echo "config_links=\"$ac_config_links\"" >>$CONFIG_STATUS -fi -if test -n "$ac_config_commands"; then - echo "config_commands=\"$ac_config_commands\"" >>$CONFIG_STATUS -fi +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 +# Files that config.status was made for. +config_files="$ac_config_files" -cat >>$CONFIG_STATUS <<\_ACEOF +_ACEOF +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 ac_cs_usage="\ -\`$as_me' instantiates files from templates according to the -current configuration. +\`$as_me' instantiates files and other configuration actions +from templates according to the current configuration. Unless the files +and actions are specified as TAGs, all are instantiated by default. -Usage: $0 [OPTIONS] [FILE]... +Usage: $0 [OPTION]... [TAG]... -h, --help print this help, then exit - -V, --version print version number, then exit - -q, --quiet do not print progress messages + -V, --version print version number and configuration settings, then exit + --config print configuration, then exit + -q, --quiet, --silent + do not print progress messages -d, --debug don't remove temporary files --recheck update $as_me by reconfiguring in the same conditions - --file=FILE[:TEMPLATE] - instantiate the configuration file FILE + --file=FILE[:TEMPLATE] + instantiate the configuration file FILE Configuration files: $config_files -Report bugs to ." -_ACEOF +Report bugs to the package provider." -cat >>$CONFIG_STATUS <<_ACEOF +_ACEOF +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 +ac_cs_config="`$as_echo "$ac_configure_args" | sed 's/^ //; s/[\\""\`\$]/\\\\&/g'`" ac_cs_version="\\ config.status -configured by $0, generated by GNU Autoconf 2.59, - with options \\"`echo "$ac_configure_args" | sed 's/[\\""\`\$]/\\\\&/g'`\\" +configured by $0, generated by GNU Autoconf 2.69, + with options \\"\$ac_cs_config\\" -Copyright (C) 2003 Free Software Foundation, Inc. +Copyright (C) 2012 Free Software Foundation, Inc. This config.status script is free software; the Free Software Foundation gives unlimited permission to copy, distribute and modify it." -srcdir=$srcdir + +ac_pwd='$ac_pwd' +srcdir='$srcdir' +test -n "\$AWK" || AWK=awk _ACEOF -cat >>$CONFIG_STATUS <<\_ACEOF -# If no file are specified by the user, then we need to provide default -# value. By we need to know if files were specified by the user. +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +# The default lists apply if the user does not specify any file. ac_need_defaults=: while test $# != 0 do case $1 in - --*=*) - ac_option=`expr "x$1" : 'x\([^=]*\)='` - ac_optarg=`expr "x$1" : 'x[^=]*=\(.*\)'` + --*=?*) + ac_option=`expr "X$1" : 'X\([^=]*\)='` + ac_optarg=`expr "X$1" : 'X[^=]*=\(.*\)'` + ac_shift=: + ;; + --*=) + ac_option=`expr "X$1" : 'X\([^=]*\)='` + ac_optarg= ac_shift=: ;; - -*) + *) ac_option=$1 ac_optarg=$2 ac_shift=shift ;; - *) # This is not an option, so the user has probably given explicit - # arguments. - ac_option=$1 - ac_need_defaults=false;; esac case $ac_option in # Handling of the options. -_ACEOF -cat >>$CONFIG_STATUS <<\_ACEOF -recheck | --recheck | --rechec | --reche | --rech | --rec | --re | --r) ac_cs_recheck=: ;; - --version | --vers* | -V ) - echo "$ac_cs_version"; exit 0 ;; - --he | --h) - # Conflict between --help and --header - { { echo "$as_me:$LINENO: error: ambiguous option: $1 -Try \`$0 --help' for more information." >&5 -echo "$as_me: error: ambiguous option: $1 -Try \`$0 --help' for more information." >&2;} - { (exit 1); exit 1; }; };; - --help | --hel | -h ) - echo "$ac_cs_usage"; exit 0 ;; - --debug | --d* | -d ) + --version | --versio | --versi | --vers | --ver | --ve | --v | -V ) + $as_echo "$ac_cs_version"; exit ;; + --config | --confi | --conf | --con | --co | --c ) + $as_echo "$ac_cs_config"; exit ;; + --debug | --debu | --deb | --de | --d | -d ) debug=: ;; --file | --fil | --fi | --f ) $ac_shift - CONFIG_FILES="$CONFIG_FILES $ac_optarg" - ac_need_defaults=false;; - --header | --heade | --head | --hea ) - $ac_shift - CONFIG_HEADERS="$CONFIG_HEADERS $ac_optarg" + case $ac_optarg in + *\'*) ac_optarg=`$as_echo "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"` ;; + '') as_fn_error $? "missing file argument" ;; + esac + as_fn_append CONFIG_FILES " '$ac_optarg'" ac_need_defaults=false;; + --he | --h | --help | --hel | -h ) + $as_echo "$ac_cs_usage"; exit ;; -q | -quiet | --quiet | --quie | --qui | --qu | --q \ | -silent | --silent | --silen | --sile | --sil | --si | --s) ac_cs_silent=: ;; # This is an error. - -*) { { echo "$as_me:$LINENO: error: unrecognized option: $1 -Try \`$0 --help' for more information." >&5 -echo "$as_me: error: unrecognized option: $1 -Try \`$0 --help' for more information." >&2;} - { (exit 1); exit 1; }; } ;; + -*) as_fn_error $? "unrecognized option: \`$1' +Try \`$0 --help' for more information." ;; - *) ac_config_targets="$ac_config_targets $1" ;; + *) as_fn_append ac_config_targets " $1" + ac_need_defaults=false ;; esac shift @@ -5821,33 +5976,47 @@ if $ac_cs_silent; then fi _ACEOF -cat >>$CONFIG_STATUS <<_ACEOF +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 if \$ac_cs_recheck; then - echo "running $SHELL $0 " $ac_configure_args \$ac_configure_extra_args " --no-create --no-recursion" >&6 - exec $SHELL $0 $ac_configure_args \$ac_configure_extra_args --no-create --no-recursion + set X $SHELL '$0' $ac_configure_args \$ac_configure_extra_args --no-create --no-recursion + shift + \$as_echo "running CONFIG_SHELL=$SHELL \$*" >&6 + CONFIG_SHELL='$SHELL' + export CONFIG_SHELL + exec "\$@" fi _ACEOF +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +exec 5>>config.log +{ + echo + sed 'h;s/./-/g;s/^.../## /;s/...$/ ##/;p;x;p;x' <<_ASBOX +## Running $as_me. ## +_ASBOX + $as_echo "$ac_log" +} >&5 +_ACEOF +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 +_ACEOF +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 - - -cat >>$CONFIG_STATUS <<\_ACEOF +# Handling of arguments. for ac_config_target in $ac_config_targets do - case "$ac_config_target" in - # Handling of arguments. - "Makefile" ) CONFIG_FILES="$CONFIG_FILES Makefile" ;; - "tclConfig.sh" ) CONFIG_FILES="$CONFIG_FILES tclConfig.sh" ;; - "tcl.hpj" ) CONFIG_FILES="$CONFIG_FILES tcl.hpj" ;; - "tclsh.exe.manifest" ) CONFIG_FILES="$CONFIG_FILES tclsh.exe.manifest" ;; - *) { { echo "$as_me:$LINENO: error: invalid argument: $ac_config_target" >&5 -echo "$as_me: error: invalid argument: $ac_config_target" >&2;} - { (exit 1); exit 1; }; };; + case $ac_config_target in + "Makefile") CONFIG_FILES="$CONFIG_FILES Makefile" ;; + "tclConfig.sh") CONFIG_FILES="$CONFIG_FILES tclConfig.sh" ;; + "tcl.hpj") CONFIG_FILES="$CONFIG_FILES tcl.hpj" ;; + "tclsh.exe.manifest") CONFIG_FILES="$CONFIG_FILES tclsh.exe.manifest" ;; + + *) as_fn_error $? "invalid argument: \`$ac_config_target'" "$LINENO" 5;; esac done + # If the user did not use the arguments to specify the items to instantiate, # then the envvar interface is used. Set only those that are not. # We use the long form for the default assignment because of an extremely @@ -5857,420 +6026,414 @@ if $ac_need_defaults; then fi # Have a temporary directory for convenience. Make it in the build tree -# simply because there is no reason to put it here, and in addition, +# simply because there is no reason against having it here, and in addition, # creating and moving files from /tmp can sometimes cause problems. -# Create a temporary directory, and hook for its removal unless debugging. +# Hook for its removal unless debugging. +# Note that there is a small window in which the directory will not be cleaned: +# after its creation but before its name has been assigned to `$tmp'. $debug || { - trap 'exit_status=$?; rm -rf $tmp && exit $exit_status' 0 - trap '{ (exit 1); exit 1; }' 1 2 13 15 + tmp= ac_tmp= + trap 'exit_status=$? + : "${ac_tmp:=$tmp}" + { test ! -d "$ac_tmp" || rm -fr "$ac_tmp"; } && exit $exit_status +' 0 + trap 'as_fn_exit 1' 1 2 13 15 } - # Create a (secure) tmp directory for tmp files. { - tmp=`(umask 077 && mktemp -d -q "./confstatXXXXXX") 2>/dev/null` && - test -n "$tmp" && test -d "$tmp" + tmp=`(umask 077 && mktemp -d "./confXXXXXX") 2>/dev/null` && + test -d "$tmp" } || { - tmp=./confstat$$-$RANDOM - (umask 077 && mkdir $tmp) -} || + tmp=./conf$$-$RANDOM + (umask 077 && mkdir "$tmp") +} || as_fn_error $? "cannot create a temporary directory in ." "$LINENO" 5 +ac_tmp=$tmp + +# Set up the scripts for CONFIG_FILES section. +# No need to generate them if there are no CONFIG_FILES. +# This happens for instance with `./config.status config.h'. +if test -n "$CONFIG_FILES"; then + + +ac_cr=`echo X | tr X '\015'` +# On cygwin, bash can eat \r inside `` if the user requested igncr. +# But we know of no other shell where ac_cr would be empty at this +# point, so we can use a bashism as a fallback. +if test "x$ac_cr" = x; then + eval ac_cr=\$\'\\r\' +fi +ac_cs_awk_cr=`$AWK 'BEGIN { print "a\rb" }' /dev/null` +if test "$ac_cs_awk_cr" = "a${ac_cr}b"; then + ac_cs_awk_cr='\\r' +else + ac_cs_awk_cr=$ac_cr +fi + +echo 'BEGIN {' >"$ac_tmp/subs1.awk" && +_ACEOF + + +{ + echo "cat >conf$$subs.awk <<_ACEOF" && + echo "$ac_subst_vars" | sed 's/.*/&!$&$ac_delim/' && + echo "_ACEOF" +} >conf$$subs.sh || + as_fn_error $? "could not make $CONFIG_STATUS" "$LINENO" 5 +ac_delim_num=`echo "$ac_subst_vars" | grep -c '^'` +ac_delim='%!_!# ' +for ac_last_try in false false false false false :; do + . ./conf$$subs.sh || + as_fn_error $? "could not make $CONFIG_STATUS" "$LINENO" 5 + + ac_delim_n=`sed -n "s/.*$ac_delim\$/X/p" conf$$subs.awk | grep -c X` + if test $ac_delim_n = $ac_delim_num; then + break + elif $ac_last_try; then + as_fn_error $? "could not make $CONFIG_STATUS" "$LINENO" 5 + else + ac_delim="$ac_delim!$ac_delim _$ac_delim!! " + fi +done +rm -f conf$$subs.sh + +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 +cat >>"\$ac_tmp/subs1.awk" <<\\_ACAWK && +_ACEOF +sed -n ' +h +s/^/S["/; s/!.*/"]=/ +p +g +s/^[^!]*!// +:repl +t repl +s/'"$ac_delim"'$// +t delim +:nl +h +s/\(.\{148\}\)..*/\1/ +t more1 +s/["\\]/\\&/g; s/^/"/; s/$/\\n"\\/ +p +n +b repl +:more1 +s/["\\]/\\&/g; s/^/"/; s/$/"\\/ +p +g +s/.\{148\}// +t nl +:delim +h +s/\(.\{148\}\)..*/\1/ +t more2 +s/["\\]/\\&/g; s/^/"/; s/$/"/ +p +b +:more2 +s/["\\]/\\&/g; s/^/"/; s/$/"\\/ +p +g +s/.\{148\}// +t delim +' >$CONFIG_STATUS || ac_write_fail=1 +rm -f conf$$subs.awk +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 +_ACAWK +cat >>"\$ac_tmp/subs1.awk" <<_ACAWK && + for (key in S) S_is_set[key] = 1 + FS = "" + +} { - echo "$me: cannot create a temporary directory in ." >&2 - { (exit 1); exit 1; } + line = $ 0 + nfields = split(line, field, "@") + substed = 0 + len = length(field[1]) + for (i = 2; i < nfields; i++) { + key = field[i] + keylen = length(key) + if (S_is_set[key]) { + value = S[key] + line = substr(line, 1, len) "" value "" substr(line, len + keylen + 3) + len += length(value) + length(field[++i]) + substed = 1 + } else + len += 1 + keylen + } + + print line } +_ACAWK +_ACEOF +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +if sed "s/$ac_cr//" < /dev/null > /dev/null 2>&1; then + sed "s/$ac_cr\$//; s/$ac_cr/$ac_cs_awk_cr/g" +else + cat +fi < "$ac_tmp/subs1.awk" > "$ac_tmp/subs.awk" \ + || as_fn_error $? "could not setup config files machinery" "$LINENO" 5 _ACEOF -cat >>$CONFIG_STATUS <<_ACEOF +# VPATH may cause trouble with some makes, so we remove sole $(srcdir), +# ${srcdir} and @srcdir@ entries from VPATH if srcdir is ".", strip leading and +# trailing colons and then remove the whole line if VPATH becomes empty +# (actually we leave an empty line to preserve line numbers). +if test "x$srcdir" = x.; then + ac_vpsub='/^[ ]*VPATH[ ]*=[ ]*/{ +h +s/// +s/^/:/ +s/[ ]*$/:/ +s/:\$(srcdir):/:/g +s/:\${srcdir}:/:/g +s/:@srcdir@:/:/g +s/^:*// +s/:*$// +x +s/\(=[ ]*\).*/\1/ +G +s/\n// +s/^[^=]*=[ ]*$// +}' +fi -# -# CONFIG_FILES section. -# +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +fi # test -n "$CONFIG_FILES" -# No need to generate the scripts if there are no CONFIG_FILES. -# This happens for instance when ./config.status config.h -if test -n "\$CONFIG_FILES"; then - # Protect against being on the right side of a sed subst in config.status. - sed 's/,@/@@/; s/@,/@@/; s/,;t t\$/@;t 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"invalid tag \`$ac_tag'" "$LINENO" 5;; + :[FH]-) ac_tag=-:-;; + :[FH]*) ac_tag=$ac_tag:$ac_tag.in;; + esac + ac_save_IFS=$IFS + IFS=: + set x $ac_tag + IFS=$ac_save_IFS + shift + ac_file=$1 + shift - cat >>$CONFIG_STATUS <<\_ACEOF - # Split the substitutions into bite-sized pieces for seds with - # small command number limits, like on Digital OSF/1 and HP-UX. - ac_max_sed_lines=48 - ac_sed_frag=1 # Number of current file. - ac_beg=1 # First line for current file. - ac_end=$ac_max_sed_lines # Line after last line for current file. - ac_more_lines=: - ac_sed_cmds= - while $ac_more_lines; do - if test $ac_beg -gt 1; then - sed "1,${ac_beg}d; ${ac_end}q" $tmp/subs.sed >$tmp/subs.frag - else - sed "${ac_end}q" $tmp/subs.sed >$tmp/subs.frag - fi - if test ! -s $tmp/subs.frag; then - ac_more_lines=false - else - # The purpose of the label and of the branching condition is to - # speed up the sed processing (if there are no `@' at all, there - # is no need to browse any of the substitutions). - # These are the two extra sed commands mentioned above. - (echo ':t - /@[a-zA-Z_][a-zA-Z_0-9]*@/!b' && cat $tmp/subs.frag) >$tmp/subs-$ac_sed_frag.sed - if test -z "$ac_sed_cmds"; then - ac_sed_cmds="sed -f $tmp/subs-$ac_sed_frag.sed" - else - ac_sed_cmds="$ac_sed_cmds | sed -f $tmp/subs-$ac_sed_frag.sed" - fi - ac_sed_frag=`expr $ac_sed_frag + 1` - ac_beg=$ac_end - ac_end=`expr $ac_end + $ac_max_sed_lines` + case $ac_mode in + :L) ac_source=$1;; + :[FH]) + ac_file_inputs= + for ac_f + do + case $ac_f in + -) ac_f="$ac_tmp/stdin";; + *) # Look for the file first in the build tree, then in the source tree + # (if the path is not absolute). The absolute path cannot be DOS-style, + # because $ac_f cannot contain `:'. + test -f "$ac_f" || + case $ac_f in + [\\/$]*) false;; + *) test -f "$srcdir/$ac_f" && ac_f="$srcdir/$ac_f";; + esac || + as_fn_error 1 "cannot find input file: \`$ac_f'" "$LINENO" 5;; + esac + case $ac_f in *\'*) ac_f=`$as_echo "$ac_f" | sed "s/'/'\\\\\\\\''/g"`;; esac + as_fn_append ac_file_inputs " '$ac_f'" + done + + # Let's still pretend it is `configure' which instantiates (i.e., don't + # use $as_me), people would be surprised to read: + # /* config.h. Generated by config.status. */ + configure_input='Generated from '` + $as_echo "$*" | sed 's|^[^:]*/||;s|:[^:]*/|, |g' + `' by configure.' + if test x"$ac_file" != x-; then + configure_input="$ac_file. $configure_input" + { $as_echo "$as_me:${as_lineno-$LINENO}: creating $ac_file" >&5 +$as_echo "$as_me: creating $ac_file" >&6;} fi - done - if test -z "$ac_sed_cmds"; then - ac_sed_cmds=cat - fi -fi # test -n "$CONFIG_FILES" + # Neutralize special characters interpreted by sed in replacement strings. + case $configure_input in #( + *\&* | *\|* | *\\* ) + ac_sed_conf_input=`$as_echo "$configure_input" | + sed 's/[\\\\&|]/\\\\&/g'`;; #( + *) ac_sed_conf_input=$configure_input;; + esac -_ACEOF -cat >>$CONFIG_STATUS <<\_ACEOF -for ac_file in : $CONFIG_FILES; do test "x$ac_file" = x: && continue - # Support "outfile[:infile[:infile...]]", defaulting infile="outfile.in". - case $ac_file in - - | *:- | *:-:* ) # input from stdin - cat >$tmp/stdin - ac_file_in=`echo "$ac_file" | sed 's,[^:]*:,,'` - ac_file=`echo "$ac_file" | sed 's,:.*,,'` ;; - *:* ) ac_file_in=`echo "$ac_file" | sed 's,[^:]*:,,'` - ac_file=`echo "$ac_file" | sed 's,:.*,,'` ;; - * ) ac_file_in=$ac_file.in ;; + case $ac_tag in + *:-:* | *:-) cat >"$ac_tmp/stdin" \ + || as_fn_error $? "could not create $ac_file" "$LINENO" 5 ;; + esac + ;; esac - # Compute @srcdir@, @top_srcdir@, and @INSTALL@ for subdirectories. - ac_dir=`(dirname "$ac_file") 2>/dev/null || + ac_dir=`$as_dirname -- "$ac_file" || $as_expr X"$ac_file" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \ X"$ac_file" : 'X\(//\)[^/]' \| \ X"$ac_file" : 'X\(//\)$' \| \ - X"$ac_file" : 'X\(/\)' \| \ - . : '\(.\)' 2>/dev/null || -echo X"$ac_file" | - sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{ s//\1/; q; } - /^X\(\/\/\)[^/].*/{ s//\1/; q; } - /^X\(\/\/\)$/{ s//\1/; q; } - /^X\(\/\).*/{ s//\1/; q; } - s/.*/./; q'` - { if $as_mkdir_p; then - mkdir -p "$ac_dir" - else - as_dir="$ac_dir" - as_dirs= - while test ! -d "$as_dir"; do - as_dirs="$as_dir $as_dirs" - as_dir=`(dirname "$as_dir") 2>/dev/null || -$as_expr X"$as_dir" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \ - X"$as_dir" : 'X\(//\)[^/]' \| \ - X"$as_dir" : 'X\(//\)$' \| \ - X"$as_dir" : 'X\(/\)' \| \ - . : '\(.\)' 2>/dev/null || -echo X"$as_dir" | - sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{ s//\1/; q; } - /^X\(\/\/\)[^/].*/{ s//\1/; q; } - /^X\(\/\/\)$/{ s//\1/; q; } - /^X\(\/\).*/{ s//\1/; q; } - s/.*/./; q'` - done - test ! -n "$as_dirs" || mkdir $as_dirs - fi || { { echo "$as_me:$LINENO: error: cannot create directory \"$ac_dir\"" >&5 -echo "$as_me: error: cannot create directory \"$ac_dir\"" >&2;} - { (exit 1); exit 1; }; }; } - + X"$ac_file" : 'X\(/\)' \| . 2>/dev/null || +$as_echo X"$ac_file" | + sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{ + s//\1/ + q + } + /^X\(\/\/\)[^/].*/{ + s//\1/ + q + } + /^X\(\/\/\)$/{ + s//\1/ + q + } + /^X\(\/\).*/{ + s//\1/ + q + } + s/.*/./; q'` + as_dir="$ac_dir"; as_fn_mkdir_p ac_builddir=. -if test "$ac_dir" != .; then - ac_dir_suffix=/`echo "$ac_dir" | sed 's,^\.[\\/],,'` - # A "../" for each directory in $ac_dir_suffix. - ac_top_builddir=`echo "$ac_dir_suffix" | sed 's,/[^\\/]*,../,g'` -else - ac_dir_suffix= ac_top_builddir= -fi +case "$ac_dir" in +.) ac_dir_suffix= ac_top_builddir_sub=. ac_top_build_prefix= ;; +*) + ac_dir_suffix=/`$as_echo "$ac_dir" | sed 's|^\.[\\/]||'` + # A ".." for each directory in $ac_dir_suffix. + ac_top_builddir_sub=`$as_echo "$ac_dir_suffix" | sed 's|/[^\\/]*|/..|g;s|/||'` + case $ac_top_builddir_sub in + "") ac_top_builddir_sub=. ac_top_build_prefix= ;; + *) ac_top_build_prefix=$ac_top_builddir_sub/ ;; + esac ;; +esac +ac_abs_top_builddir=$ac_pwd +ac_abs_builddir=$ac_pwd$ac_dir_suffix +# for backward compatibility: +ac_top_builddir=$ac_top_build_prefix case $srcdir in - .) # No --srcdir option. We are building in place. + .) # We are building in place. ac_srcdir=. - if test -z "$ac_top_builddir"; then - ac_top_srcdir=. - else - ac_top_srcdir=`echo $ac_top_builddir | sed 's,/$,,'` - fi ;; - [\\/]* | ?:[\\/]* ) # Absolute path. + ac_top_srcdir=$ac_top_builddir_sub + ac_abs_top_srcdir=$ac_pwd ;; + [\\/]* | ?:[\\/]* ) # Absolute name. ac_srcdir=$srcdir$ac_dir_suffix; - ac_top_srcdir=$srcdir ;; - *) # Relative path. - ac_srcdir=$ac_top_builddir$srcdir$ac_dir_suffix - ac_top_srcdir=$ac_top_builddir$srcdir ;; + ac_top_srcdir=$srcdir + ac_abs_top_srcdir=$srcdir ;; + *) # Relative name. + ac_srcdir=$ac_top_build_prefix$srcdir$ac_dir_suffix + ac_top_srcdir=$ac_top_build_prefix$srcdir + ac_abs_top_srcdir=$ac_pwd/$srcdir ;; esac +ac_abs_srcdir=$ac_abs_top_srcdir$ac_dir_suffix -# Do not use `cd foo && pwd` to compute absolute paths, because -# the directories may not exist. -case `pwd` in -.) ac_abs_builddir="$ac_dir";; -*) - case "$ac_dir" in - .) ac_abs_builddir=`pwd`;; - [\\/]* | ?:[\\/]* ) ac_abs_builddir="$ac_dir";; - *) ac_abs_builddir=`pwd`/"$ac_dir";; - esac;; -esac -case $ac_abs_builddir in -.) ac_abs_top_builddir=${ac_top_builddir}.;; -*) - case ${ac_top_builddir}. in - .) ac_abs_top_builddir=$ac_abs_builddir;; - [\\/]* | ?:[\\/]* ) ac_abs_top_builddir=${ac_top_builddir}.;; - *) ac_abs_top_builddir=$ac_abs_builddir/${ac_top_builddir}.;; - esac;; -esac -case $ac_abs_builddir in -.) ac_abs_srcdir=$ac_srcdir;; -*) - case $ac_srcdir in - .) ac_abs_srcdir=$ac_abs_builddir;; - [\\/]* | ?:[\\/]* ) ac_abs_srcdir=$ac_srcdir;; - *) ac_abs_srcdir=$ac_abs_builddir/$ac_srcdir;; - esac;; -esac -case $ac_abs_builddir in -.) ac_abs_top_srcdir=$ac_top_srcdir;; -*) - case $ac_top_srcdir in - .) ac_abs_top_srcdir=$ac_abs_builddir;; - [\\/]* | ?:[\\/]* ) ac_abs_top_srcdir=$ac_top_srcdir;; - *) ac_abs_top_srcdir=$ac_abs_builddir/$ac_top_srcdir;; - esac;; -esac + case $ac_mode in + :F) + # + # CONFIG_FILE + # +_ACEOF - if test x"$ac_file" != x-; then - { echo "$as_me:$LINENO: creating $ac_file" >&5 -echo "$as_me: creating $ac_file" >&6;} - rm -f "$ac_file" - fi - # Let's still pretend it is `configure' which instantiates (i.e., don't - # use $as_me), people would be surprised to read: - # /* config.h. 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" - fi - configure_input=$configure_input"Generated from `echo $ac_file_in | - sed 's,.*/,,'` by configure." - - # First look for the input files in the build tree, otherwise in the - # src tree. - ac_file_inputs=`IFS=: - for f in $ac_file_in; do - case $f in - -) echo $tmp/stdin ;; - [\\/$]*) - # Absolute (can't be DOS-style, as IFS=:) - test -f "$f" || { { echo "$as_me:$LINENO: error: cannot find input file: $f" >&5 -echo "$as_me: error: cannot find input file: $f" >&2;} - { (exit 1); exit 1; }; } - echo "$f";; - *) # Relative - if test -f "$f"; then - # Build tree - echo "$f" - elif test -f "$srcdir/$f"; then - # Source tree - echo "$srcdir/$f" - else - # /dev/null tree - { { echo "$as_me:$LINENO: error: cannot find input file: $f" >&5 -echo "$as_me: error: cannot find input file: $f" >&2;} - { (exit 1); exit 1; }; } - fi;; - esac - done` || { (exit 1); exit 1; } +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +# If the template does not know about datarootdir, expand it. +# FIXME: This hack should be removed a few years after 2.60. +ac_datarootdir_hack=; ac_datarootdir_seen= +ac_sed_dataroot=' +/datarootdir/ { + p + q +} +/@datadir@/p +/@docdir@/p +/@infodir@/p +/@localedir@/p +/@mandir@/p' +case `eval "sed -n \"\$ac_sed_dataroot\" $ac_file_inputs"` in +*datarootdir*) ac_datarootdir_seen=yes;; +*@datadir@*|*@docdir@*|*@infodir@*|*@localedir@*|*@mandir@*) + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: $ac_file_inputs seems to ignore the --datarootdir setting" >&5 +$as_echo "$as_me: WARNING: $ac_file_inputs seems to ignore the --datarootdir setting" >&2;} +_ACEOF +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 + ac_datarootdir_hack=' + s&@datadir@&$datadir&g + s&@docdir@&$docdir&g + s&@infodir@&$infodir&g + s&@localedir@&$localedir&g + s&@mandir@&$mandir&g + s&\\\${datarootdir}&$datarootdir&g' ;; +esac _ACEOF -cat >>$CONFIG_STATUS <<_ACEOF - sed "$ac_vpsub + +# Neutralize VPATH when `$srcdir' = `.'. +# Shell code in configure.ac might set extrasub. +# FIXME: do we really want to maintain this feature? +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 +ac_sed_extra="$ac_vpsub $extrasub _ACEOF -cat >>$CONFIG_STATUS <<\_ACEOF +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 :t /@[a-zA-Z_][a-zA-Z_0-9]*@/!b -s,@configure_input@,$configure_input,;t t -s,@srcdir@,$ac_srcdir,;t t -s,@abs_srcdir@,$ac_abs_srcdir,;t t -s,@top_srcdir@,$ac_top_srcdir,;t t -s,@abs_top_srcdir@,$ac_abs_top_srcdir,;t t -s,@builddir@,$ac_builddir,;t t -s,@abs_builddir@,$ac_abs_builddir,;t t -s,@top_builddir@,$ac_top_builddir,;t t -s,@abs_top_builddir@,$ac_abs_top_builddir,;t t -" $ac_file_inputs | (eval "$ac_sed_cmds") >$tmp/out - rm -f $tmp/stdin - if test x"$ac_file" != x-; then - mv $tmp/out $ac_file - else - cat $tmp/out - rm -f $tmp/out - fi +s|@configure_input@|$ac_sed_conf_input|;t t +s&@top_builddir@&$ac_top_builddir_sub&;t t +s&@top_build_prefix@&$ac_top_build_prefix&;t t +s&@srcdir@&$ac_srcdir&;t t +s&@abs_srcdir@&$ac_abs_srcdir&;t t +s&@top_srcdir@&$ac_top_srcdir&;t t +s&@abs_top_srcdir@&$ac_abs_top_srcdir&;t t +s&@builddir@&$ac_builddir&;t t +s&@abs_builddir@&$ac_abs_builddir&;t t +s&@abs_top_builddir@&$ac_abs_top_builddir&;t t +$ac_datarootdir_hack +" +eval sed \"\$ac_sed_extra\" "$ac_file_inputs" | $AWK -f "$ac_tmp/subs.awk" \ + >$ac_tmp/out || as_fn_error $? "could not create $ac_file" "$LINENO" 5 + +test -z "$ac_datarootdir_hack$ac_datarootdir_seen" && + { ac_out=`sed -n '/\${datarootdir}/p' "$ac_tmp/out"`; test -n "$ac_out"; } && + { ac_out=`sed -n '/^[ ]*datarootdir[ ]*:*=/p' \ + "$ac_tmp/out"`; test -z "$ac_out"; } && + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: $ac_file contains a reference to the variable \`datarootdir' +which seems to be undefined. Please make sure it is defined" >&5 +$as_echo "$as_me: WARNING: $ac_file contains a reference to the variable \`datarootdir' +which seems to be undefined. Please make sure it is defined" >&2;} + + rm -f "$ac_tmp/stdin" + case $ac_file in + -) cat "$ac_tmp/out" && rm -f "$ac_tmp/out";; + *) rm -f "$ac_file" && mv "$ac_tmp/out" "$ac_file";; + esac \ + || as_fn_error $? "could not create $ac_file" "$LINENO" 5 + ;; + -done -_ACEOF -cat >>$CONFIG_STATUS <<\_ACEOF + esac + +done # for ac_tag + -{ (exit 0); exit 0; } +as_fn_exit 0 _ACEOF -chmod +x $CONFIG_STATUS ac_clean_files=$ac_clean_files_save +test $ac_write_fail = 0 || + as_fn_error $? "write failure creating $CONFIG_STATUS" "$LINENO" 5 + # configure is writing to config.log, and then calls config.status. # config.status does its own redirection, appending to config.log. @@ -6290,7 +6453,11 @@ if test "$no_create" != yes; then exec 5>>config.log # Use ||, not &&, to avoid exiting from the if with $? = 1, which # would make configure fail if this is the last instruction. - $ac_cs_success || { (exit 1); exit 1; } + $ac_cs_success || as_fn_exit 1 +fi +if test -n "$ac_unrecognized_opts" && test "$enable_option_checking" != no; then + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: unrecognized options: $ac_unrecognized_opts" >&5 +$as_echo "$as_me: WARNING: unrecognized options: $ac_unrecognized_opts" >&2;} fi diff --git a/win/configure.in b/win/configure.in index a72b993..7405bf4 100644 --- a/win/configure.in +++ b/win/configure.in @@ -4,17 +4,17 @@ # to configure the system for the local environment. AC_INIT(../generic/tcl.h) -AC_PREREQ(2.59) +AC_PREREQ(2.69) # The following define is needed when building with Cygwin since newer # versions of autoconf incorrectly set SHELL to /bin/bash instead of # /bin/sh. The bash shell seems to suffer from some strange failures. SHELL=/bin/sh -TCL_VERSION=8.6 +TCL_VERSION=8.7 TCL_MAJOR_VERSION=8 -TCL_MINOR_VERSION=6 -TCL_PATCH_LEVEL=".5" +TCL_MINOR_VERSION=7 +TCL_PATCH_LEVEL="a0" VER=$TCL_MAJOR_VERSION$TCL_MINOR_VERSION TCL_DDE_VERSION=1.4 diff --git a/win/makefile.bc b/win/makefile.bc index f5b5acc..bee61d7 100644 --- a/win/makefile.bc +++ b/win/makefile.bc @@ -123,8 +123,8 @@ CFG_ENCODING = \"cp1252\" NAMEPREFIX = tcl STUBPREFIX = $(NAMEPREFIX)stub -DOTVERSION = 8.6 -VERSION = 86 +DOTVERSION = 8.7 +VERSION = 87 DDEVERSION = 14 DDEDOTVERSION = 1.4 diff --git a/win/tcl.m4 b/win/tcl.m4 index 84f0dff..a75a936 100644 --- a/win/tcl.m4 +++ b/win/tcl.m4 @@ -1126,13 +1126,13 @@ AC_DEFUN([SC_CONFIG_CFLAGS], [ #------------------------------------------------------------------------ AC_DEFUN([SC_WITH_TCL], [ - if test -d ../../tcl8.6$1/win; then - TCL_BIN_DEFAULT=../../tcl8.6$1/win + if test -d ../../tcl8.7$1/win; then + TCL_BIN_DEFAULT=../../tcl8.7$1/win else - TCL_BIN_DEFAULT=../../tcl8.6/win + TCL_BIN_DEFAULT=../../tcl8.7/win fi - AC_ARG_WITH(tcl, [ --with-tcl=DIR use Tcl 8.6 binaries from DIR], + AC_ARG_WITH(tcl, [ --with-tcl=DIR use Tcl 8.7 binaries from DIR], TCL_BIN_DIR=$withval, TCL_BIN_DIR=`cd $TCL_BIN_DEFAULT; pwd`) if test ! -d $TCL_BIN_DIR; then AC_MSG_ERROR(Tcl directory $TCL_BIN_DIR does not exist) -- cgit v0.12 From 90dc157b45fda2c7a421f44e805218830c6f27ef Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 4 Mar 2016 13:13:21 +0000 Subject: =?UTF-8?q?Fix=20gcc=205.3=20warning:=20In=20function=20=E2=80=98N?= =?UTF-8?q?RInterpCmd=E2=80=99:=20tclInterp.c:726:5:=20warning:=20assuming?= =?UTF-8?q?=20signed=20overflow=20does=20not=20occur=20when=20assuming=20t?= =?UTF-8?q?hat=20(X=20+=20c)=20<=20X=20is=20always=20false=20[-Wstrict-ove?= =?UTF-8?q?rflow]=20=20=20if=20((i=20+=202)=20<=20objc)=20{=20Remove=20som?= =?UTF-8?q?e=20excessive=20spacing?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- generic/tclInterp.c | 2 +- generic/tclTest.c | 2 +- generic/tclThreadTest.c | 4 ++-- 3 files changed, 4 insertions(+), 4 deletions(-) diff --git a/generic/tclInterp.c b/generic/tclInterp.c index 5c94461..cd0dc18 100644 --- a/generic/tclInterp.c +++ b/generic/tclInterp.c @@ -723,7 +723,7 @@ NRInterpCmd( } endOfForLoop: - if ((i + 2) < objc) { + if (i < objc - 2) { Tcl_WrongNumArgs(interp, 2, objv, "?-unwind? ?--? ?path? ?result?"); return TCL_ERROR; diff --git a/generic/tclTest.c b/generic/tclTest.c index 9794f59..4695ab5 100644 --- a/generic/tclTest.c +++ b/generic/tclTest.c @@ -6891,7 +6891,7 @@ TestNREUnwind( * Insure that callbacks effectively run at the proper level during the * unwinding of the NRE stack. */ - + Tcl_NRAddCallback(interp, NREUnwind_callback, INT2PTR(-1), INT2PTR(-1), INT2PTR(-1), NULL); return TCL_OK; diff --git a/generic/tclThreadTest.c b/generic/tclThreadTest.c index 75f8a15..9c66313 100644 --- a/generic/tclThreadTest.c +++ b/generic/tclThreadTest.c @@ -834,7 +834,7 @@ ThreadSend( if (threadId == Tcl_GetCurrentThread()) { Tcl_MutexUnlock(&threadMutex); - return Tcl_EvalEx(interp, script,-1,TCL_EVAL_GLOBAL); + return Tcl_EvalEx(interp, script,-1,TCL_EVAL_GLOBAL); } /* @@ -1029,7 +1029,7 @@ ThreadEventProc( Tcl_Preserve(interp); Tcl_ResetResult(interp); Tcl_CreateThreadExitHandler(ThreadFreeProc, threadEventPtr->script); - code = Tcl_EvalEx(interp, threadEventPtr->script,-1,TCL_EVAL_GLOBAL); + code = Tcl_EvalEx(interp, threadEventPtr->script,-1,TCL_EVAL_GLOBAL); Tcl_DeleteThreadExitHandler(ThreadFreeProc, threadEventPtr->script); if (code != TCL_OK) { errorCode = Tcl_GetVar(interp, "errorCode", TCL_GLOBAL_ONLY); -- cgit v0.12 From 44c8b6c3e8a3570b24b2daca27b2f74f68e3ebd2 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 7 Mar 2016 08:37:01 +0000 Subject: Fix version number in .project file --- .project | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/.project b/.project index 358cc74..a9d6ecf 100644 --- a/.project +++ b/.project @@ -1,6 +1,6 @@ - tcl8.6 + tcl8.7 -- cgit v0.12 From 7f848a3e85d288409cc73c957717a2a9f83ea47a Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 8 Mar 2016 13:44:16 +0000 Subject: configure.in -> configure.ac --- generic/tcl.h | 4 +- macosx/GNUmakefile | 2 +- macosx/Tcl.xcode/project.pbxproj | 16 +- macosx/Tcl.xcodeproj/project.pbxproj | 16 +- macosx/configure.ac | 2 +- tools/configure | 2949 +++++++++++++++++++++------------- tools/configure.ac | 35 + tools/configure.in | 35 - tools/tcltk-man2html.tcl | 6 +- unix/Makefile.in | 14 +- unix/configure.ac | 998 ++++++++++++ unix/configure.in | 998 ------------ unix/tclConfig.sh.in | 2 +- win/configure.ac | 464 ++++++ win/configure.in | 464 ------ win/tcl.dsp | 2 +- win/tclConfig.sh.in | 2 +- 17 files changed, 3352 insertions(+), 2657 deletions(-) create mode 100644 tools/configure.ac delete mode 100644 tools/configure.in create mode 100644 unix/configure.ac delete mode 100644 unix/configure.in create mode 100644 win/configure.ac delete mode 100644 win/configure.in diff --git a/generic/tcl.h b/generic/tcl.h index 905a51d..58ba7e5 100644 --- a/generic/tcl.h +++ b/generic/tcl.h @@ -38,8 +38,8 @@ extern "C" { * update the version numbers: * * library/init.tcl (1 LOC patch) - * unix/configure.in (2 LOC Major, 2 LOC minor, 1 LOC patch) - * win/configure.in (as above) + * unix/configure.ac (2 LOC Major, 2 LOC minor, 1 LOC patch) + * win/configure.ac (as above) * win/tcl.m4 (not patchlevel) * win/makefile.bc (not patchlevel) 2 LOC * README (sections 0 and 2, with and without separator) diff --git a/macosx/GNUmakefile b/macosx/GNUmakefile index 54eea8e..1d26a7a 100644 --- a/macosx/GNUmakefile +++ b/macosx/GNUmakefile @@ -92,7 +92,7 @@ PROJECT := tcl PRODUCT_NAME := Tcl UNIX_DIR := ${CURDIR}/../unix -VERSION := $(shell awk -F= '/^TCL_VERSION/ {print $$2; nextfile}' ${UNIX_DIR}/configure.in) +VERSION := $(shell awk -F= '/^TCL_VERSION/ {print $$2; nextfile}' ${UNIX_DIR}/configure.ac) TCLSH := tclsh${VERSION} BUILD_TARGET := all tcltest diff --git a/macosx/Tcl.xcode/project.pbxproj b/macosx/Tcl.xcode/project.pbxproj index a28b8db..a99afc5 100644 --- a/macosx/Tcl.xcode/project.pbxproj +++ b/macosx/Tcl.xcode/project.pbxproj @@ -769,7 +769,7 @@ F96D43CF08F272B7004A47F5 /* winTime.test */ = {isa = PBXFileReference; explicitFileType = text.script; fileEncoding = 4; path = winTime.test; sourceTree = ""; }; F96D43D108F272B8004A47F5 /* checkLibraryDoc.tcl */ = {isa = PBXFileReference; explicitFileType = text.script; fileEncoding = 4; path = checkLibraryDoc.tcl; sourceTree = ""; }; F96D43D208F272B8004A47F5 /* configure */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = text.script.sh; path = configure; sourceTree = ""; }; - F96D43D308F272B8004A47F5 /* configure.in */ = {isa = PBXFileReference; explicitFileType = text.script.sh; fileEncoding = 4; path = configure.in; sourceTree = ""; }; + F96D43D308F272B8004A47F5 /* configure.ac */ = {isa = PBXFileReference; explicitFileType = text.script.sh; fileEncoding = 4; path = configure.ac; sourceTree = ""; }; F96D442408F272B8004A47F5 /* fix_tommath_h.tcl */ = {isa = PBXFileReference; explicitFileType = text.script; fileEncoding = 4; path = fix_tommath_h.tcl; sourceTree = ""; }; F96D442508F272B8004A47F5 /* genStubs.tcl */ = {isa = PBXFileReference; explicitFileType = text.script; fileEncoding = 4; path = genStubs.tcl; sourceTree = ""; }; F96D442708F272B8004A47F5 /* index.tcl */ = {isa = PBXFileReference; explicitFileType = text.script; fileEncoding = 4; path = index.tcl; sourceTree = ""; }; @@ -792,7 +792,7 @@ F96D443C08F272B9004A47F5 /* uniParse.tcl */ = {isa = PBXFileReference; explicitFileType = text.script; fileEncoding = 4; path = uniParse.tcl; sourceTree = ""; }; F96D444008F272B9004A47F5 /* aclocal.m4 */ = {isa = PBXFileReference; explicitFileType = text.script.sh; fileEncoding = 4; path = aclocal.m4; sourceTree = ""; }; F96D444108F272B9004A47F5 /* configure */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = text.script.sh; path = configure; sourceTree = ""; }; - F96D444208F272B9004A47F5 /* configure.in */ = {isa = PBXFileReference; explicitFileType = text.script.sh; fileEncoding = 4; path = configure.in; sourceTree = ""; }; + F96D444208F272B9004A47F5 /* configure.ac */ = {isa = PBXFileReference; explicitFileType = text.script.sh; fileEncoding = 4; path = configure.ac; sourceTree = ""; }; F96D444408F272B9004A47F5 /* Makefile.in */ = {isa = PBXFileReference; explicitFileType = sourcecode.make; fileEncoding = 4; path = Makefile.in; sourceTree = ""; }; F96D444508F272B9004A47F5 /* pkga.c */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = sourcecode.c.c; path = pkga.c; sourceTree = ""; }; F96D444608F272B9004A47F5 /* pkgb.c */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = sourcecode.c.c; path = pkgb.c; sourceTree = ""; }; @@ -836,7 +836,7 @@ F96D447208F272BA004A47F5 /* cat.c */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = sourcecode.c.c; path = cat.c; sourceTree = ""; }; F96D447308F272BA004A47F5 /* coffbase.txt */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = text; path = coffbase.txt; sourceTree = ""; }; F96D447408F272BA004A47F5 /* configure */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = text.script.sh; path = configure; sourceTree = ""; }; - F96D447508F272BA004A47F5 /* configure.in */ = {isa = PBXFileReference; explicitFileType = text.script.sh; fileEncoding = 4; path = configure.in; sourceTree = ""; }; + F96D447508F272BA004A47F5 /* configure.ac */ = {isa = PBXFileReference; explicitFileType = text.script.sh; fileEncoding = 4; path = configure.ac; sourceTree = ""; }; F96D447608F272BA004A47F5 /* makefile.bc */ = {isa = PBXFileReference; explicitFileType = sourcecode.make; fileEncoding = 4; path = makefile.bc; sourceTree = ""; }; F96D447708F272BA004A47F5 /* Makefile.in */ = {isa = PBXFileReference; explicitFileType = sourcecode.make; fileEncoding = 4; path = Makefile.in; sourceTree = ""; }; F96D447808F272BA004A47F5 /* makefile.vc */ = {isa = PBXFileReference; explicitFileType = sourcecode.make; fileEncoding = 4; path = makefile.vc; sourceTree = ""; }; @@ -1666,7 +1666,7 @@ children = ( F96D43D108F272B8004A47F5 /* checkLibraryDoc.tcl */, F96D43D208F272B8004A47F5 /* configure */, - F96D43D308F272B8004A47F5 /* configure.in */, + F96D43D308F272B8004A47F5 /* configure.ac */, F96D442408F272B8004A47F5 /* fix_tommath_h.tcl */, F96D442508F272B8004A47F5 /* genStubs.tcl */, F96D442708F272B8004A47F5 /* index.tcl */, @@ -1697,7 +1697,7 @@ children = ( F96D444008F272B9004A47F5 /* aclocal.m4 */, F96D444108F272B9004A47F5 /* configure */, - F96D444208F272B9004A47F5 /* configure.in */, + F96D444208F272B9004A47F5 /* configure.ac */, F96D444308F272B9004A47F5 /* dltest */, F96D444D08F272B9004A47F5 /* install-sh */, F96D444E08F272B9004A47F5 /* installManPage */, @@ -1758,7 +1758,7 @@ F96D447208F272BA004A47F5 /* cat.c */, F96D447308F272BA004A47F5 /* coffbase.txt */, F96D447408F272BA004A47F5 /* configure */, - F96D447508F272BA004A47F5 /* configure.in */, + F96D447508F272BA004A47F5 /* configure.ac */, F96D447608F272BA004A47F5 /* makefile.bc */, F96D447708F272BA004A47F5 /* Makefile.in */, F96D447808F272BA004A47F5 /* makefile.vc */, @@ -1946,7 +1946,7 @@ ); inputPaths = ( "$(TCL_SRCROOT)/macosx/configure.ac", - "$(TCL_SRCROOT)/unix/configure.in", + "$(TCL_SRCROOT)/unix/configure.ac", "$(TCL_SRCROOT)/unix/tcl.m4", "$(TCL_SRCROOT)/unix/aclocal.m4", "$(TCL_SRCROOT)/unix/tclConfig.sh.in", @@ -1959,7 +1959,7 @@ ); runOnlyForDeploymentPostprocessing = 0; shellPath = /bin/bash; - shellScript = "## tcl configure shell script phase\n\ncd \"${TCL_SRCROOT}\"/macosx &&\nif [ configure.ac -nt configure -o ../unix/configure.in -nt configure -o ../unix/tcl.m4 -nt configure -o ../unix/aclocal.m4 -nt configure ]; then\n echo \"Running autoconf & autoheader in tcl/macosx\"\n rm -rf autom4te.cache\n ${AUTOCONF:-${DEVELOPER_DIR}/usr/bin/autoconf} && ${AUTOHEADER:-${DEVELOPER_DIR}/usr/bin/autoheader} || exit $?\n rm -rf autom4te.cache\nfi\n\ncd \"${DERIVED_FILE_DIR}\" && mkdir -p tcl && cd tcl &&\nif [ \"${TCL_SRCROOT}\"/macosx/configure -nt config.status ]; then\n echo \"Configuring Tcl\"\n CC=$(xcrun -find ${GCC} || echo ${GCC})\n \"${TCL_SRCROOT}\"/macosx/configure --cache-file=../config.cache --prefix=${PREFIX} --bindir=${BINDIR} --libdir=${LIBDIR} --mandir=${MANDIR} --includedir=${INCLUDEDIR} --disable-shared CC=${CC} LD=${CC} ${CONFIGURE_ARGS}\nelse\n ./config.status\nfi\n"; + shellScript = "## tcl configure shell script phase\n\ncd \"${TCL_SRCROOT}\"/macosx &&\nif [ configure.ac -nt configure -o ../unix/configure.ac -nt configure -o ../unix/tcl.m4 -nt configure -o ../unix/aclocal.m4 -nt configure ]; then\n echo \"Running autoconf & autoheader in tcl/macosx\"\n rm -rf autom4te.cache\n ${AUTOCONF:-${DEVELOPER_DIR}/usr/bin/autoconf} && ${AUTOHEADER:-${DEVELOPER_DIR}/usr/bin/autoheader} || exit $?\n rm -rf autom4te.cache\nfi\n\ncd \"${DERIVED_FILE_DIR}\" && mkdir -p tcl && cd tcl &&\nif [ \"${TCL_SRCROOT}\"/macosx/configure -nt config.status ]; then\n echo \"Configuring Tcl\"\n CC=$(xcrun -find ${GCC} || echo ${GCC})\n \"${TCL_SRCROOT}\"/macosx/configure --cache-file=../config.cache --prefix=${PREFIX} --bindir=${BINDIR} --libdir=${LIBDIR} --mandir=${MANDIR} --includedir=${INCLUDEDIR} --disable-shared CC=${CC} LD=${CC} ${CONFIGURE_ARGS}\nelse\n ./config.status\nfi\n"; showEnvVarsInLog = 0; }; /* End PBXShellScriptBuildPhase section */ diff --git a/macosx/Tcl.xcodeproj/project.pbxproj b/macosx/Tcl.xcodeproj/project.pbxproj index 7c0d083..393fd31 100644 --- a/macosx/Tcl.xcodeproj/project.pbxproj +++ b/macosx/Tcl.xcodeproj/project.pbxproj @@ -769,7 +769,7 @@ F96D43CF08F272B7004A47F5 /* winTime.test */ = {isa = PBXFileReference; explicitFileType = text.script; fileEncoding = 4; path = winTime.test; sourceTree = ""; }; F96D43D108F272B8004A47F5 /* checkLibraryDoc.tcl */ = {isa = PBXFileReference; explicitFileType = text.script; fileEncoding = 4; path = checkLibraryDoc.tcl; sourceTree = ""; }; F96D43D208F272B8004A47F5 /* configure */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = text.script.sh; path = configure; sourceTree = ""; }; - F96D43D308F272B8004A47F5 /* configure.in */ = {isa = PBXFileReference; explicitFileType = text.script.sh; fileEncoding = 4; path = configure.in; sourceTree = ""; }; + F96D43D308F272B8004A47F5 /* configure.ac */ = {isa = PBXFileReference; explicitFileType = text.script.sh; fileEncoding = 4; path = configure.ac; sourceTree = ""; }; F96D442408F272B8004A47F5 /* fix_tommath_h.tcl */ = {isa = PBXFileReference; explicitFileType = text.script; fileEncoding = 4; path = fix_tommath_h.tcl; sourceTree = ""; }; F96D442508F272B8004A47F5 /* genStubs.tcl */ = {isa = PBXFileReference; explicitFileType = text.script; fileEncoding = 4; path = genStubs.tcl; sourceTree = ""; }; F96D442708F272B8004A47F5 /* index.tcl */ = {isa = PBXFileReference; explicitFileType = text.script; fileEncoding = 4; path = index.tcl; sourceTree = ""; }; @@ -792,7 +792,7 @@ F96D443C08F272B9004A47F5 /* uniParse.tcl */ = {isa = PBXFileReference; explicitFileType = text.script; fileEncoding = 4; path = uniParse.tcl; sourceTree = ""; }; F96D444008F272B9004A47F5 /* aclocal.m4 */ = {isa = PBXFileReference; explicitFileType = text.script.sh; fileEncoding = 4; path = aclocal.m4; sourceTree = ""; }; F96D444108F272B9004A47F5 /* configure */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = text.script.sh; path = configure; sourceTree = ""; }; - F96D444208F272B9004A47F5 /* configure.in */ = {isa = PBXFileReference; explicitFileType = text.script.sh; fileEncoding = 4; path = configure.in; sourceTree = ""; }; + F96D444208F272B9004A47F5 /* configure.ac */ = {isa = PBXFileReference; explicitFileType = text.script.sh; fileEncoding = 4; path = configure.ac; sourceTree = ""; }; F96D444408F272B9004A47F5 /* Makefile.in */ = {isa = PBXFileReference; explicitFileType = sourcecode.make; fileEncoding = 4; path = Makefile.in; sourceTree = ""; }; F96D444508F272B9004A47F5 /* pkga.c */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = sourcecode.c.c; path = pkga.c; sourceTree = ""; }; F96D444608F272B9004A47F5 /* pkgb.c */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = sourcecode.c.c; path = pkgb.c; sourceTree = ""; }; @@ -836,7 +836,7 @@ F96D447208F272BA004A47F5 /* cat.c */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = sourcecode.c.c; path = cat.c; sourceTree = ""; }; F96D447308F272BA004A47F5 /* coffbase.txt */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = text; path = coffbase.txt; sourceTree = ""; }; F96D447408F272BA004A47F5 /* configure */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = text.script.sh; path = configure; sourceTree = ""; }; - F96D447508F272BA004A47F5 /* configure.in */ = {isa = PBXFileReference; explicitFileType = text.script.sh; fileEncoding = 4; path = configure.in; sourceTree = ""; }; + F96D447508F272BA004A47F5 /* configure.ac */ = {isa = PBXFileReference; explicitFileType = text.script.sh; fileEncoding = 4; path = configure.ac; sourceTree = ""; }; F96D447608F272BA004A47F5 /* makefile.bc */ = {isa = PBXFileReference; explicitFileType = sourcecode.make; fileEncoding = 4; path = makefile.bc; sourceTree = ""; }; F96D447708F272BA004A47F5 /* Makefile.in */ = {isa = PBXFileReference; explicitFileType = sourcecode.make; fileEncoding = 4; path = Makefile.in; sourceTree = ""; }; F96D447808F272BA004A47F5 /* makefile.vc */ = {isa = PBXFileReference; explicitFileType = sourcecode.make; fileEncoding = 4; path = makefile.vc; sourceTree = ""; }; @@ -1666,7 +1666,7 @@ children = ( F96D43D108F272B8004A47F5 /* checkLibraryDoc.tcl */, F96D43D208F272B8004A47F5 /* configure */, - F96D43D308F272B8004A47F5 /* configure.in */, + F96D43D308F272B8004A47F5 /* configure.ac */, F96D442408F272B8004A47F5 /* fix_tommath_h.tcl */, F96D442508F272B8004A47F5 /* genStubs.tcl */, F96D442708F272B8004A47F5 /* index.tcl */, @@ -1697,7 +1697,7 @@ children = ( F96D444008F272B9004A47F5 /* aclocal.m4 */, F96D444108F272B9004A47F5 /* configure */, - F96D444208F272B9004A47F5 /* configure.in */, + F96D444208F272B9004A47F5 /* configure.ac */, F96D444308F272B9004A47F5 /* dltest */, F96D444D08F272B9004A47F5 /* install-sh */, F96D444E08F272B9004A47F5 /* installManPage */, @@ -1758,7 +1758,7 @@ F96D447208F272BA004A47F5 /* cat.c */, F96D447308F272BA004A47F5 /* coffbase.txt */, F96D447408F272BA004A47F5 /* configure */, - F96D447508F272BA004A47F5 /* configure.in */, + F96D447508F272BA004A47F5 /* configure.ac */, F96D447608F272BA004A47F5 /* makefile.bc */, F96D447708F272BA004A47F5 /* Makefile.in */, F96D447808F272BA004A47F5 /* makefile.vc */, @@ -1946,7 +1946,7 @@ ); inputPaths = ( "$(TCL_SRCROOT)/macosx/configure.ac", - "$(TCL_SRCROOT)/unix/configure.in", + "$(TCL_SRCROOT)/unix/configure.ac", "$(TCL_SRCROOT)/unix/tcl.m4", "$(TCL_SRCROOT)/unix/aclocal.m4", "$(TCL_SRCROOT)/unix/tclConfig.sh.in", @@ -1959,7 +1959,7 @@ ); runOnlyForDeploymentPostprocessing = 0; shellPath = /bin/bash; - shellScript = "## tcl configure shell script phase\n\ncd \"${TCL_SRCROOT}\"/macosx &&\nif [ configure.ac -nt configure -o ../unix/configure.in -nt configure -o ../unix/tcl.m4 -nt configure -o ../unix/aclocal.m4 -nt configure ]; then\n echo \"Running autoconf & autoheader in tcl/macosx\"\n rm -rf autom4te.cache\n ${AUTOCONF:-${DEVELOPER_DIR}/usr/bin/autoconf} && ${AUTOHEADER:-${DEVELOPER_DIR}/usr/bin/autoheader} || exit $?\n rm -rf autom4te.cache\nfi\n\ncd \"${DERIVED_FILE_DIR}\" && mkdir -p tcl && cd tcl &&\nif [ \"${TCL_SRCROOT}\"/macosx/configure -nt config.status ]; then\n echo \"Configuring Tcl\"\n CC=$(xcrun -find ${GCC} || echo ${GCC})\n \"${TCL_SRCROOT}\"/macosx/configure --cache-file=../config.cache --prefix=${PREFIX} --bindir=${BINDIR} --libdir=${LIBDIR} --mandir=${MANDIR} --includedir=${INCLUDEDIR} --disable-shared CC=${CC} LD=${CC} ${CONFIGURE_ARGS}\nelse\n ./config.status\nfi\n"; + shellScript = "## tcl configure shell script phase\n\ncd \"${TCL_SRCROOT}\"/macosx &&\nif [ configure.ac -nt configure -o ../unix/configure.ac -nt configure -o ../unix/tcl.m4 -nt configure -o ../unix/aclocal.m4 -nt configure ]; then\n echo \"Running autoconf & autoheader in tcl/macosx\"\n rm -rf autom4te.cache\n ${AUTOCONF:-${DEVELOPER_DIR}/usr/bin/autoconf} && ${AUTOHEADER:-${DEVELOPER_DIR}/usr/bin/autoheader} || exit $?\n rm -rf autom4te.cache\nfi\n\ncd \"${DERIVED_FILE_DIR}\" && mkdir -p tcl && cd tcl &&\nif [ \"${TCL_SRCROOT}\"/macosx/configure -nt config.status ]; then\n echo \"Configuring Tcl\"\n CC=$(xcrun -find ${GCC} || echo ${GCC})\n \"${TCL_SRCROOT}\"/macosx/configure --cache-file=../config.cache --prefix=${PREFIX} --bindir=${BINDIR} --libdir=${LIBDIR} --mandir=${MANDIR} --includedir=${INCLUDEDIR} --disable-shared CC=${CC} LD=${CC} ${CONFIGURE_ARGS}\nelse\n ./config.status\nfi\n"; showEnvVarsInLog = 0; }; /* End PBXShellScriptBuildPhase section */ diff --git a/macosx/configure.ac b/macosx/configure.ac index f7a8bb3..6b1e3ac 100644 --- a/macosx/configure.ac +++ b/macosx/configure.ac @@ -8,4 +8,4 @@ dnl include the configure sources from ../unix: m4_include(../unix/aclocal.m4) m4_define(SC_USE_CONFIG_HEADERS) -m4_include(../unix/configure.in) +m4_include(../unix/configure.ac) diff --git a/tools/configure b/tools/configure index 3d30039..7c4d3db 100755 --- a/tools/configure +++ b/tools/configure @@ -1,81 +1,458 @@ #! /bin/sh # Guess values for system-dependent variables and create Makefiles. -# Generated by GNU Autoconf 2.59. +# Generated by GNU Autoconf 2.69. +# +# +# Copyright (C) 1992-1996, 1998-2012 Free Software Foundation, Inc. +# # -# Copyright (C) 2003 Free Software Foundation, Inc. # This configure script is free software; the Free Software Foundation # gives unlimited permission to copy, distribute and modify it. -## --------------------- ## -## M4sh Initialization. ## -## --------------------- ## +## -------------------- ## +## M4sh Initialization. ## +## -------------------- ## -# Be Bourne compatible -if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then +# Be more Bourne compatible +DUALCASE=1; export DUALCASE # for MKS sh +if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then : emulate sh NULLCMD=: - # Zsh 3.x and 4.x performs word splitting on ${1+"$@"}, which + # Pre-4.2 versions of Zsh do word splitting on ${1+"$@"}, which # is contrary to our usage. Disable this feature. alias -g '${1+"$@"}'='"$@"' -elif test -n "${BASH_VERSION+set}" && (set -o posix) >/dev/null 2>&1; then - set -o posix + setopt NO_GLOB_SUBST +else + case `(set -o) 2>/dev/null` in #( + *posix*) : + set -o posix ;; #( + *) : + ;; +esac fi -DUALCASE=1; export DUALCASE # for MKS sh -# Support unset when possible. -if ( (MAIL=60; unset MAIL) || exit) >/dev/null 2>&1; then - as_unset=unset + +as_nl=' +' +export as_nl +# Printing a long string crashes Solaris 7 /usr/bin/printf. +as_echo='\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\' +as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo +as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo$as_echo +# Prefer a ksh shell builtin over an external printf program on Solaris, +# but without wasting forks for bash or zsh. +if test -z "$BASH_VERSION$ZSH_VERSION" \ + && (test "X`print -r -- $as_echo`" = "X$as_echo") 2>/dev/null; then + as_echo='print -r --' + as_echo_n='print -rn --' +elif (test "X`printf %s $as_echo`" = "X$as_echo") 2>/dev/null; then + as_echo='printf %s\n' + as_echo_n='printf %s' else - as_unset=false + if test "X`(/usr/ucb/echo -n -n $as_echo) 2>/dev/null`" = "X-n $as_echo"; then + as_echo_body='eval /usr/ucb/echo -n "$1$as_nl"' + as_echo_n='/usr/ucb/echo -n' + else + as_echo_body='eval expr "X$1" : "X\\(.*\\)"' + as_echo_n_body='eval + arg=$1; + case $arg in #( + *"$as_nl"*) + expr "X$arg" : "X\\(.*\\)$as_nl"; + arg=`expr "X$arg" : ".*$as_nl\\(.*\\)"`;; + esac; + expr "X$arg" : "X\\(.*\\)" | tr -d "$as_nl" + ' + export as_echo_n_body + as_echo_n='sh -c $as_echo_n_body as_echo' + fi + export as_echo_body + as_echo='sh -c $as_echo_body as_echo' +fi + +# The user is always right. +if test "${PATH_SEPARATOR+set}" != set; then + PATH_SEPARATOR=: + (PATH='/bin;/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 && { + (PATH='/bin:/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 || + PATH_SEPARATOR=';' + } fi -# Work around bugs in pre-3.0 UWIN ksh. -$as_unset ENV MAIL MAILPATH +# IFS +# We need space, tab and new line, in precisely that order. Quoting is +# there to prevent editors from complaining about space-tab. +# (If _AS_PATH_WALK were called with IFS unset, it would disable word +# splitting by setting IFS to empty value.) +IFS=" "" $as_nl" + +# Find who we are. Look in the path if we contain no directory separator. +as_myself= +case $0 in #(( + *[\\/]* ) as_myself=$0 ;; + *) as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + test -r "$as_dir/$0" && as_myself=$as_dir/$0 && break + done +IFS=$as_save_IFS + + ;; +esac +# We did not find ourselves, most probably we were run as `sh COMMAND' +# in which case we are not to be found in the path. +if test "x$as_myself" = x; then + as_myself=$0 +fi +if test ! -f "$as_myself"; then + $as_echo "$as_myself: error: cannot find myself; rerun with an absolute file name" >&2 + exit 1 +fi + +# Unset variables that we do not need and which cause bugs (e.g. in +# pre-3.0 UWIN ksh). But do not cause bugs in bash 2.01; the "|| exit 1" +# suppresses any "Segmentation fault" message there. '((' could +# trigger a bug in pdksh 5.2.14. +for as_var in BASH_ENV ENV MAIL MAILPATH +do eval test x\${$as_var+set} = xset \ + && ( (unset $as_var) || exit 1) >/dev/null 2>&1 && unset $as_var || : +done PS1='$ ' PS2='> ' PS4='+ ' # NLS nuisances. -for as_var in \ - LANG LANGUAGE LC_ADDRESS LC_ALL LC_COLLATE LC_CTYPE LC_IDENTIFICATION \ - LC_MEASUREMENT LC_MESSAGES LC_MONETARY LC_NAME LC_NUMERIC LC_PAPER \ - LC_TELEPHONE LC_TIME +LC_ALL=C +export LC_ALL +LANGUAGE=C +export LANGUAGE + +# CDPATH. +(unset CDPATH) >/dev/null 2>&1 && unset CDPATH + +# Use a proper internal environment variable to ensure we don't fall + # into an infinite loop, continuously re-executing ourselves. + if test x"${_as_can_reexec}" != xno && test "x$CONFIG_SHELL" != x; then + _as_can_reexec=no; export _as_can_reexec; + # We cannot yet assume a decent shell, so we have to provide a +# neutralization value for shells without unset; and this also +# works around shells that cannot unset nonexistent variables. +# Preserve -v and -x to the replacement shell. +BASH_ENV=/dev/null +ENV=/dev/null +(unset BASH_ENV) >/dev/null 2>&1 && unset BASH_ENV ENV +case $- in # (((( + *v*x* | *x*v* ) as_opts=-vx ;; + *v* ) as_opts=-v ;; + *x* ) as_opts=-x ;; + * ) as_opts= ;; +esac +exec $CONFIG_SHELL $as_opts "$as_myself" ${1+"$@"} +# Admittedly, this is quite paranoid, since all the known shells bail +# out after a failed `exec'. +$as_echo "$0: could not re-execute with $CONFIG_SHELL" >&2 +as_fn_exit 255 + fi + # We don't want this to propagate to other subprocesses. + { _as_can_reexec=; unset _as_can_reexec;} +if test "x$CONFIG_SHELL" = x; then + as_bourne_compatible="if test -n \"\${ZSH_VERSION+set}\" && (emulate sh) >/dev/null 2>&1; then : + emulate sh + NULLCMD=: + # Pre-4.2 versions of Zsh do word splitting on \${1+\"\$@\"}, which + # is contrary to our usage. Disable this feature. + alias -g '\${1+\"\$@\"}'='\"\$@\"' + setopt NO_GLOB_SUBST +else + case \`(set -o) 2>/dev/null\` in #( + *posix*) : + set -o posix ;; #( + *) : + ;; +esac +fi +" + as_required="as_fn_return () { (exit \$1); } +as_fn_success () { as_fn_return 0; } +as_fn_failure () { as_fn_return 1; } +as_fn_ret_success () { return 0; } +as_fn_ret_failure () { return 1; } + +exitcode=0 +as_fn_success || { exitcode=1; echo as_fn_success failed.; } +as_fn_failure && { exitcode=1; echo as_fn_failure succeeded.; } +as_fn_ret_success || { exitcode=1; echo as_fn_ret_success failed.; } +as_fn_ret_failure && { exitcode=1; echo as_fn_ret_failure succeeded.; } +if ( set x; as_fn_ret_success y && test x = \"\$1\" ); then : + +else + exitcode=1; echo positional parameters were not saved. +fi +test x\$exitcode = x0 || exit 1 +test -x / || exit 1" + as_suggested=" as_lineno_1=";as_suggested=$as_suggested$LINENO;as_suggested=$as_suggested" as_lineno_1a=\$LINENO + as_lineno_2=";as_suggested=$as_suggested$LINENO;as_suggested=$as_suggested" as_lineno_2a=\$LINENO + eval 'test \"x\$as_lineno_1'\$as_run'\" != \"x\$as_lineno_2'\$as_run'\" && + test \"x\`expr \$as_lineno_1'\$as_run' + 1\`\" = \"x\$as_lineno_2'\$as_run'\"' || exit 1" + if (eval "$as_required") 2>/dev/null; then : + as_have_required=yes +else + as_have_required=no +fi + if test x$as_have_required = xyes && (eval "$as_suggested") 2>/dev/null; then : + +else + as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +as_found=false +for as_dir in /bin$PATH_SEPARATOR/usr/bin$PATH_SEPARATOR$PATH do - if (set +x; test -z "`(eval $as_var=C; export $as_var) 2>&1`"); then - eval $as_var=C; export $as_var + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + as_found=: + case $as_dir in #( + /*) + for as_base in sh bash ksh sh5; do + # Try only shells that exist, to save several forks. + as_shell=$as_dir/$as_base + if { test -f "$as_shell" || test -f "$as_shell.exe"; } && + { $as_echo "$as_bourne_compatible""$as_required" | as_run=a "$as_shell"; } 2>/dev/null; then : + CONFIG_SHELL=$as_shell as_have_required=yes + if { $as_echo "$as_bourne_compatible""$as_suggested" | as_run=a "$as_shell"; } 2>/dev/null; then : + break 2 +fi +fi + done;; + esac + as_found=false +done +$as_found || { if { test -f "$SHELL" || test -f "$SHELL.exe"; } && + { $as_echo "$as_bourne_compatible""$as_required" | as_run=a "$SHELL"; } 2>/dev/null; then : + CONFIG_SHELL=$SHELL as_have_required=yes +fi; } +IFS=$as_save_IFS + + + if test "x$CONFIG_SHELL" != x; then : + export CONFIG_SHELL + # We cannot yet assume a decent shell, so we have to provide a +# neutralization value for shells without unset; and this also +# works around shells that cannot unset nonexistent variables. +# Preserve -v and -x to the replacement shell. +BASH_ENV=/dev/null +ENV=/dev/null +(unset BASH_ENV) >/dev/null 2>&1 && unset BASH_ENV ENV +case $- in # (((( + *v*x* | *x*v* ) as_opts=-vx ;; + *v* ) as_opts=-v ;; + *x* ) as_opts=-x ;; + * ) as_opts= ;; +esac +exec $CONFIG_SHELL $as_opts "$as_myself" ${1+"$@"} +# Admittedly, this is quite paranoid, since all the known shells bail +# out after a failed `exec'. +$as_echo "$0: could not re-execute with $CONFIG_SHELL" >&2 +exit 255 +fi + + if test x$as_have_required = xno; then : + $as_echo "$0: This script requires a shell more modern than all" + $as_echo "$0: the shells that I found on your system." + if test x${ZSH_VERSION+set} = xset ; then + $as_echo "$0: In particular, zsh $ZSH_VERSION has bugs and should" + $as_echo "$0: be upgraded to zsh 4.3.4 or later." else - $as_unset $as_var + $as_echo "$0: Please tell bug-autoconf@gnu.org about your system, +$0: including any error possibly output before this +$0: message. Then install a modern shell, or manually run +$0: the script under such a shell if you do have one." fi -done + exit 1 +fi +fi +fi +SHELL=${CONFIG_SHELL-/bin/sh} +export SHELL +# Unset more variables known to interfere with behavior of common tools. +CLICOLOR_FORCE= GREP_OPTIONS= +unset CLICOLOR_FORCE GREP_OPTIONS + +## --------------------- ## +## M4sh Shell Functions. ## +## --------------------- ## +# as_fn_unset VAR +# --------------- +# Portably unset VAR. +as_fn_unset () +{ + { eval $1=; unset $1;} +} +as_unset=as_fn_unset + +# as_fn_set_status STATUS +# ----------------------- +# Set $? to STATUS, without forking. +as_fn_set_status () +{ + return $1 +} # as_fn_set_status + +# as_fn_exit STATUS +# ----------------- +# Exit the shell with STATUS, even in a "trap 0" or "set -e" context. +as_fn_exit () +{ + set +e + as_fn_set_status $1 + exit $1 +} # as_fn_exit + +# as_fn_mkdir_p +# ------------- +# Create "$as_dir" as a directory, including parents if necessary. +as_fn_mkdir_p () +{ + + case $as_dir in #( + -*) as_dir=./$as_dir;; + esac + test -d "$as_dir" || eval $as_mkdir_p || { + as_dirs= + while :; do + case $as_dir in #( + *\'*) as_qdir=`$as_echo "$as_dir" | sed "s/'/'\\\\\\\\''/g"`;; #'( + *) as_qdir=$as_dir;; + esac + as_dirs="'$as_qdir' $as_dirs" + as_dir=`$as_dirname -- "$as_dir" || +$as_expr X"$as_dir" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \ + X"$as_dir" : 'X\(//\)[^/]' \| \ + X"$as_dir" : 'X\(//\)$' \| \ + X"$as_dir" : 'X\(/\)' \| . 2>/dev/null || +$as_echo X"$as_dir" | + sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{ + s//\1/ + q + } + /^X\(\/\/\)[^/].*/{ + s//\1/ + q + } + /^X\(\/\/\)$/{ + s//\1/ + q + } + /^X\(\/\).*/{ + s//\1/ + q + } + s/.*/./; q'` + test -d "$as_dir" && break + done + test -z "$as_dirs" || eval "mkdir $as_dirs" + } || test -d "$as_dir" || as_fn_error $? "cannot create directory $as_dir" -# Required to use basename. -if expr a : '\(a\)' >/dev/null 2>&1; then + +} # as_fn_mkdir_p + +# as_fn_executable_p FILE +# ----------------------- +# Test if FILE is an executable regular file. +as_fn_executable_p () +{ + test -f "$1" && test -x "$1" +} # as_fn_executable_p +# as_fn_append VAR VALUE +# ---------------------- +# Append the text in VALUE to the end of the definition contained in VAR. Take +# advantage of any shell optimizations that allow amortized linear growth over +# repeated appends, instead of the typical quadratic growth present in naive +# implementations. +if (eval "as_var=1; as_var+=2; test x\$as_var = x12") 2>/dev/null; then : + eval 'as_fn_append () + { + eval $1+=\$2 + }' +else + as_fn_append () + { + eval $1=\$$1\$2 + } +fi # as_fn_append + +# as_fn_arith ARG... +# ------------------ +# Perform arithmetic evaluation on the ARGs, and store the result in the +# global $as_val. Take advantage of shells that can avoid forks. The arguments +# must be portable across $(()) and expr. +if (eval "test \$(( 1 + 1 )) = 2") 2>/dev/null; then : + eval 'as_fn_arith () + { + as_val=$(( $* )) + }' +else + as_fn_arith () + { + as_val=`expr "$@" || test $? -eq 1` + } +fi # as_fn_arith + + +# as_fn_error STATUS ERROR [LINENO LOG_FD] +# ---------------------------------------- +# Output "`basename $0`: error: ERROR" to stderr. If LINENO and LOG_FD are +# provided, also output the error to LOG_FD, referencing LINENO. Then exit the +# script with STATUS, using 1 if that was 0. +as_fn_error () +{ + as_status=$1; test $as_status -eq 0 && as_status=1 + if test "$4"; then + as_lineno=${as_lineno-"$3"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + $as_echo "$as_me:${as_lineno-$LINENO}: error: $2" >&$4 + fi + $as_echo "$as_me: error: $2" >&2 + as_fn_exit $as_status +} # as_fn_error + +if expr a : '\(a\)' >/dev/null 2>&1 && + test "X`expr 00001 : '.*\(...\)'`" = X001; then as_expr=expr else as_expr=false fi -if (basename /) >/dev/null 2>&1 && test "X`basename / 2>&1`" = "X/"; then +if (basename -- /) >/dev/null 2>&1 && test "X`basename -- / 2>&1`" = "X/"; then as_basename=basename else as_basename=false fi +if (as_dir=`dirname -- /` && test "X$as_dir" = X/) >/dev/null 2>&1; then + as_dirname=dirname +else + as_dirname=false +fi -# Name of the executable. -as_me=`$as_basename "$0" || +as_me=`$as_basename -- "$0" || $as_expr X/"$0" : '.*/\([^/][^/]*\)/*$' \| \ X"$0" : 'X\(//\)$' \| \ - X"$0" : 'X\(/\)$' \| \ - . : '\(.\)' 2>/dev/null || -echo X/"$0" | - sed '/^.*\/\([^/][^/]*\)\/*$/{ s//\1/; q; } - /^X\/\(\/\/\)$/{ s//\1/; q; } - /^X\/\(\/\).*/{ s//\1/; q; } - s/.*/./; q'` + X"$0" : 'X\(/\)' \| . 2>/dev/null || +$as_echo X/"$0" | + sed '/^.*\/\([^/][^/]*\)\/*$/{ + s//\1/ + q + } + /^X\/\(\/\/\)$/{ + s//\1/ + q + } + /^X\/\(\/\).*/{ + s//\1/ + q + } + s/.*/./; q'` - -# PATH needs CR, and LINENO needs CR and PATH. # Avoid depending upon Character Ranges. as_cr_letters='abcdefghijklmnopqrstuvwxyz' as_cr_LETTERS='ABCDEFGHIJKLMNOPQRSTUVWXYZ' @@ -83,146 +460,91 @@ as_cr_Letters=$as_cr_letters$as_cr_LETTERS as_cr_digits='0123456789' as_cr_alnum=$as_cr_Letters$as_cr_digits -# The user is always right. -if test "${PATH_SEPARATOR+set}" != set; then - echo "#! /bin/sh" >conf$$.sh - echo "exit 0" >>conf$$.sh - chmod +x conf$$.sh - if (PATH="/nonexistent;."; conf$$.sh) >/dev/null 2>&1; then - PATH_SEPARATOR=';' - else - PATH_SEPARATOR=: - fi - rm -f conf$$.sh -fi - - - as_lineno_1=$LINENO - as_lineno_2=$LINENO - as_lineno_3=`(expr $as_lineno_1 + 1) 2>/dev/null` - test "x$as_lineno_1" != "x$as_lineno_2" && - test "x$as_lineno_3" = "x$as_lineno_2" || { - # Find who we are. Look in the path if we contain no path at all - # relative or not. - case $0 in - *[\\/]* ) as_myself=$0 ;; - *) as_save_IFS=$IFS; IFS=$PATH_SEPARATOR -for as_dir in $PATH -do - IFS=$as_save_IFS - test -z "$as_dir" && as_dir=. - test -r "$as_dir/$0" && as_myself=$as_dir/$0 && break -done - - ;; - esac - # We did not find ourselves, most probably we were run as `sh COMMAND' - # in which case we are not to be found in the path. - if test "x$as_myself" = x; then - as_myself=$0 - fi - if test ! -f "$as_myself"; then - { echo "$as_me: error: cannot find myself; rerun with an absolute path" >&2 - { (exit 1); exit 1; }; } - fi - case $CONFIG_SHELL in - '') - as_save_IFS=$IFS; IFS=$PATH_SEPARATOR -for as_dir in /bin$PATH_SEPARATOR/usr/bin$PATH_SEPARATOR$PATH -do - IFS=$as_save_IFS - test -z "$as_dir" && as_dir=. - for as_base in sh bash ksh sh5; do - case $as_dir in - /*) - if ("$as_dir/$as_base" -c ' - as_lineno_1=$LINENO - as_lineno_2=$LINENO - as_lineno_3=`(expr $as_lineno_1 + 1) 2>/dev/null` - test "x$as_lineno_1" != "x$as_lineno_2" && - test "x$as_lineno_3" = "x$as_lineno_2" ') 2>/dev/null; then - $as_unset BASH_ENV || test "${BASH_ENV+set}" != set || { BASH_ENV=; export BASH_ENV; } - $as_unset ENV || test "${ENV+set}" != set || { ENV=; export ENV; } - CONFIG_SHELL=$as_dir/$as_base - export CONFIG_SHELL - exec "$CONFIG_SHELL" "$0" ${1+"$@"} - fi;; - esac - done -done -;; - esac - # Create $as_me.lineno as a copy of $as_myself, but with $LINENO - # uniformly replaced by the line number. The first 'sed' inserts a - # line-number line before each line; the second 'sed' does the real - # work. The second script uses 'N' to pair each line-number line - # with the numbered line, and appends trailing '-' during - # substitution so that $LINENO is not a special case at line end. - # (Raja R Harinath suggested sed '=', and Paul Eggert wrote the - # second 'sed' script. Blame Lee E. McMahon for sed's syntax. :-) - sed '=' <$as_myself | + as_lineno_1=$LINENO as_lineno_1a=$LINENO + as_lineno_2=$LINENO as_lineno_2a=$LINENO + eval 'test "x$as_lineno_1'$as_run'" != "x$as_lineno_2'$as_run'" && + test "x`expr $as_lineno_1'$as_run' + 1`" = "x$as_lineno_2'$as_run'"' || { + # Blame Lee E. McMahon (1931-1989) for sed's syntax. :-) + sed -n ' + p + /[$]LINENO/= + ' <$as_myself | sed ' + s/[$]LINENO.*/&-/ + t lineno + b + :lineno N - s,$,-, - : loop - s,^\(['$as_cr_digits']*\)\(.*\)[$]LINENO\([^'$as_cr_alnum'_]\),\1\2\1\3, + :loop + s/[$]LINENO\([^'$as_cr_alnum'_].*\n\)\(.*\)/\2\1\2/ t loop - s,-$,, - s,^['$as_cr_digits']*\n,, + s/-\n.*// ' >$as_me.lineno && - chmod +x $as_me.lineno || - { echo "$as_me: error: cannot create $as_me.lineno; rerun with a POSIX shell" >&2 - { (exit 1); exit 1; }; } + chmod +x "$as_me.lineno" || + { $as_echo "$as_me: error: cannot create $as_me.lineno; rerun with a POSIX shell" >&2; as_fn_exit 1; } + # If we had to re-execute with $CONFIG_SHELL, we're ensured to have + # already done that, so ensure we don't try to do so again and fall + # in an infinite loop. This has already happened in practice. + _as_can_reexec=no; export _as_can_reexec # Don't try to exec as it changes $[0], causing all sort of problems # (the dirname of $[0] is not the place where we might find the - # original and so on. Autoconf is especially sensible to this). - . ./$as_me.lineno + # original and so on. Autoconf is especially sensitive to this). + . "./$as_me.lineno" # Exit status is that of the last command. exit } - -case `echo "testing\c"; echo 1,2,3`,`echo -n testing; echo 1,2,3` in - *c*,-n*) ECHO_N= ECHO_C=' -' ECHO_T=' ' ;; - *c*,* ) ECHO_N=-n ECHO_C= ECHO_T= ;; - *) ECHO_N= ECHO_C='\c' ECHO_T= ;; +ECHO_C= ECHO_N= ECHO_T= +case `echo -n x` in #((((( +-n*) + case `echo 'xy\c'` in + *c*) ECHO_T=' ';; # ECHO_T is single tab character. + xy) ECHO_C='\c';; + *) echo `echo ksh88 bug on AIX 6.1` > /dev/null + ECHO_T=' ';; + esac;; +*) + ECHO_N='-n';; esac -if expr a : '\(a\)' >/dev/null 2>&1; then - as_expr=expr +rm -f conf$$ conf$$.exe conf$$.file +if test -d conf$$.dir; then + rm -f conf$$.dir/conf$$.file else - as_expr=false + rm -f conf$$.dir + mkdir conf$$.dir 2>/dev/null fi - -rm -f conf$$ conf$$.exe conf$$.file -echo >conf$$.file -if ln -s conf$$.file conf$$ 2>/dev/null; then - # We could just check for DJGPP; but this test a) works b) is more generic - # and c) will remain valid once DJGPP supports symlinks (DJGPP 2.04). - if test -f conf$$.exe; then - # Don't use ln at all; we don't have any links - as_ln_s='cp -p' - else +if (echo >conf$$.file) 2>/dev/null; then + if ln -s conf$$.file conf$$ 2>/dev/null; then as_ln_s='ln -s' + # ... but there are two gotchas: + # 1) On MSYS, both `ln -s file dir' and `ln file dir' fail. + # 2) DJGPP < 2.04 has no symlinks; `ln -s' creates a wrapper executable. + # In both cases, we have to default to `cp -pR'. + ln -s conf$$.file conf$$.dir 2>/dev/null && test ! -f conf$$.exe || + as_ln_s='cp -pR' + elif ln conf$$.file conf$$ 2>/dev/null; then + as_ln_s=ln + else + as_ln_s='cp -pR' fi -elif ln conf$$.file conf$$ 2>/dev/null; then - as_ln_s=ln else - as_ln_s='cp -p' + as_ln_s='cp -pR' fi -rm -f conf$$ conf$$.exe conf$$.file +rm -f conf$$ conf$$.exe conf$$.dir/conf$$.file conf$$.file +rmdir conf$$.dir 2>/dev/null if mkdir -p . 2>/dev/null; then - as_mkdir_p=: + as_mkdir_p='mkdir -p "$as_dir"' else test -d ./-p && rmdir ./-p as_mkdir_p=false fi -as_executable_p="test -f" +as_test_x='test -x' +as_executable_p=as_fn_executable_p # Sed expression to map a string onto a valid CPP name. as_tr_cpp="eval sed 'y%*$as_cr_letters%P$as_cr_LETTERS%;s%[^_$as_cr_alnum]%_%g'" @@ -231,38 +553,25 @@ as_tr_cpp="eval sed 'y%*$as_cr_letters%P$as_cr_LETTERS%;s%[^_$as_cr_alnum]%_%g'" as_tr_sh="eval sed 'y%*+%pp%;s%[^_$as_cr_alnum]%_%g'" -# IFS -# We need space, tab and new line, in precisely that order. -as_nl=' -' -IFS=" $as_nl" - -# CDPATH. -$as_unset CDPATH - +test -n "$DJDIR" || exec 7<&0 &1 # Name of the host. -# hostname on some systems (SVR3.2, Linux) returns a bogus exit status, +# hostname on some systems (SVR3.2, old GNU/Linux) returns a bogus exit status, # so uname gets run too. ac_hostname=`(hostname || uname -n) 2>/dev/null | sed 1q` -exec 6>&1 - # # Initializations. # ac_default_prefix=/usr/local +ac_clean_files= ac_config_libobj_dir=. +LIBOBJS= cross_compiling=no subdirs= MFLAGS= MAKEFLAGS= -SHELL=${CONFIG_SHELL-/bin/sh} - -# Maximum number of lines to put in a shell here document. -# This variable seems obsolete. It should probably be removed, and -# only ac_max_sed_lines should be used. -: ${ac_max_here_lines=38} # Identity of this package. PACKAGE_NAME= @@ -270,14 +579,70 @@ PACKAGE_TARNAME= PACKAGE_VERSION= PACKAGE_STRING= PACKAGE_BUGREPORT= +PACKAGE_URL= ac_unique_file="man2tcl.c" -ac_subst_vars='SHELL PATH_SEPARATOR PACKAGE_NAME PACKAGE_TARNAME PACKAGE_VERSION PACKAGE_STRING PACKAGE_BUGREPORT exec_prefix prefix program_transform_name bindir sbindir libexecdir datadir sysconfdir sharedstatedir localstatedir libdir includedir oldincludedir infodir mandir build_alias host_alias target_alias DEFS ECHO_C ECHO_N ECHO_T LIBS TCL_WIN_VERSION CC TCL_VERSION TCL_PATCH_LEVEL TCL_SRC_DIR TCL_BIN_DIR LIBOBJS LTLIBOBJS' +ac_subst_vars='LTLIBOBJS +LIBOBJS +TCL_BIN_DIR +TCL_SRC_DIR +TCL_PATCH_LEVEL +TCL_VERSION +CC +TCL_WIN_VERSION +target_alias +host_alias +build_alias +LIBS +ECHO_T +ECHO_N +ECHO_C +DEFS +mandir +localedir +libdir +psdir +pdfdir +dvidir +htmldir +infodir +docdir +oldincludedir +includedir +localstatedir +sharedstatedir +sysconfdir +datadir +datarootdir +libexecdir +sbindir +bindir +program_transform_name +prefix +exec_prefix +PACKAGE_URL +PACKAGE_BUGREPORT +PACKAGE_STRING +PACKAGE_VERSION +PACKAGE_TARNAME +PACKAGE_NAME +PATH_SEPARATOR +SHELL' ac_subst_files='' +ac_user_opts=' +enable_option_checking +with_tcl +' + ac_precious_vars='build_alias +host_alias +target_alias' + # Initialize some variables set by options. ac_init_help= ac_init_version=false +ac_unrecognized_opts= +ac_unrecognized_sep= # The variables have the same names as the options, with # dashes changed to underlines. cache_file=/dev/null @@ -300,34 +665,49 @@ x_libraries=NONE # and all the variables that are supposed to be based on exec_prefix # by default will actually change. # Use braces instead of parens because sh, perl, etc. also accept them. +# (The list follows the same order as the GNU Coding Standards.) bindir='${exec_prefix}/bin' sbindir='${exec_prefix}/sbin' libexecdir='${exec_prefix}/libexec' -datadir='${prefix}/share' +datarootdir='${prefix}/share' +datadir='${datarootdir}' sysconfdir='${prefix}/etc' sharedstatedir='${prefix}/com' localstatedir='${prefix}/var' -libdir='${exec_prefix}/lib' includedir='${prefix}/include' oldincludedir='/usr/include' -infodir='${prefix}/info' -mandir='${prefix}/man' +docdir='${datarootdir}/doc/${PACKAGE}' +infodir='${datarootdir}/info' +htmldir='${docdir}' +dvidir='${docdir}' +pdfdir='${docdir}' +psdir='${docdir}' +libdir='${exec_prefix}/lib' +localedir='${datarootdir}/locale' +mandir='${datarootdir}/man' ac_prev= +ac_dashdash= for ac_option do # If the previous option needs an argument, assign it. if test -n "$ac_prev"; then - eval "$ac_prev=\$ac_option" + eval $ac_prev=\$ac_option ac_prev= continue fi - ac_optarg=`expr "x$ac_option" : 'x[^=]*=\(.*\)'` + case $ac_option in + *=?*) ac_optarg=`expr "X$ac_option" : '[^=]*=\(.*\)'` ;; + *=) ac_optarg= ;; + *) ac_optarg=yes ;; + esac # Accept the important Cygnus configure options, so we can diagnose typos. - case $ac_option in + case $ac_dashdash$ac_option in + --) + ac_dashdash=yes ;; -bindir | --bindir | --bindi | --bind | --bin | --bi) ac_prev=bindir ;; @@ -349,33 +729,59 @@ do --config-cache | -C) cache_file=config.cache ;; - -datadir | --datadir | --datadi | --datad | --data | --dat | --da) + -datadir | --datadir | --datadi | --datad) ac_prev=datadir ;; - -datadir=* | --datadir=* | --datadi=* | --datad=* | --data=* | --dat=* \ - | --da=*) + -datadir=* | --datadir=* | --datadi=* | --datad=*) datadir=$ac_optarg ;; + -datarootdir | --datarootdir | --datarootdi | --datarootd | --dataroot \ + | --dataroo | --dataro | --datar) + ac_prev=datarootdir ;; + -datarootdir=* | --datarootdir=* | --datarootdi=* | --datarootd=* \ + | --dataroot=* | --dataroo=* | --dataro=* | --datar=*) + datarootdir=$ac_optarg ;; + -disable-* | --disable-*) - ac_feature=`expr "x$ac_option" : 'x-*disable-\(.*\)'` + ac_useropt=`expr "x$ac_option" : 'x-*disable-\(.*\)'` # Reject names that are not valid shell variable names. - expr "x$ac_feature" : ".*[^-_$as_cr_alnum]" >/dev/null && - { echo "$as_me: error: invalid feature name: $ac_feature" >&2 - { (exit 1); exit 1; }; } - ac_feature=`echo $ac_feature | sed 's/-/_/g'` - eval "enable_$ac_feature=no" ;; + expr "x$ac_useropt" : ".*[^-+._$as_cr_alnum]" >/dev/null && + as_fn_error $? "invalid feature name: $ac_useropt" + ac_useropt_orig=$ac_useropt + ac_useropt=`$as_echo "$ac_useropt" | sed 's/[-+.]/_/g'` + case $ac_user_opts in + *" +"enable_$ac_useropt" +"*) ;; + *) ac_unrecognized_opts="$ac_unrecognized_opts$ac_unrecognized_sep--disable-$ac_useropt_orig" + ac_unrecognized_sep=', ';; + esac + eval enable_$ac_useropt=no ;; + + -docdir | --docdir | --docdi | --doc | --do) + ac_prev=docdir ;; + -docdir=* | --docdir=* | --docdi=* | --doc=* | --do=*) + docdir=$ac_optarg ;; + + -dvidir | --dvidir | --dvidi | --dvid | --dvi | --dv) + ac_prev=dvidir ;; + -dvidir=* | --dvidir=* | --dvidi=* | --dvid=* | --dvi=* | --dv=*) + dvidir=$ac_optarg ;; -enable-* | --enable-*) - ac_feature=`expr "x$ac_option" : 'x-*enable-\([^=]*\)'` + ac_useropt=`expr "x$ac_option" : 'x-*enable-\([^=]*\)'` # Reject names that are not valid shell variable names. - expr "x$ac_feature" : ".*[^-_$as_cr_alnum]" >/dev/null && - { echo "$as_me: error: invalid feature name: $ac_feature" >&2 - { (exit 1); exit 1; }; } - ac_feature=`echo $ac_feature | sed 's/-/_/g'` - case $ac_option in - *=*) ac_optarg=`echo "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"`;; - *) ac_optarg=yes ;; + expr "x$ac_useropt" : ".*[^-+._$as_cr_alnum]" >/dev/null && + as_fn_error $? "invalid feature name: $ac_useropt" + ac_useropt_orig=$ac_useropt + ac_useropt=`$as_echo "$ac_useropt" | sed 's/[-+.]/_/g'` + case $ac_user_opts in + *" +"enable_$ac_useropt" +"*) ;; + *) ac_unrecognized_opts="$ac_unrecognized_opts$ac_unrecognized_sep--enable-$ac_useropt_orig" + ac_unrecognized_sep=', ';; esac - eval "enable_$ac_feature='$ac_optarg'" ;; + eval enable_$ac_useropt=\$ac_optarg ;; -exec-prefix | --exec_prefix | --exec-prefix | --exec-prefi \ | --exec-pref | --exec-pre | --exec-pr | --exec-p | --exec- \ @@ -402,6 +808,12 @@ do -host=* | --host=* | --hos=* | --ho=*) host_alias=$ac_optarg ;; + -htmldir | --htmldir | --htmldi | --htmld | --html | --htm | --ht) + ac_prev=htmldir ;; + -htmldir=* | --htmldir=* | --htmldi=* | --htmld=* | --html=* | --htm=* \ + | --ht=*) + htmldir=$ac_optarg ;; + -includedir | --includedir | --includedi | --included | --include \ | --includ | --inclu | --incl | --inc) ac_prev=includedir ;; @@ -426,13 +838,16 @@ do | --libexe=* | --libex=* | --libe=*) libexecdir=$ac_optarg ;; + -localedir | --localedir | --localedi | --localed | --locale) + ac_prev=localedir ;; + -localedir=* | --localedir=* | --localedi=* | --localed=* | --locale=*) + localedir=$ac_optarg ;; + -localstatedir | --localstatedir | --localstatedi | --localstated \ - | --localstate | --localstat | --localsta | --localst \ - | --locals | --local | --loca | --loc | --lo) + | --localstate | --localstat | --localsta | --localst | --locals) ac_prev=localstatedir ;; -localstatedir=* | --localstatedir=* | --localstatedi=* | --localstated=* \ - | --localstate=* | --localstat=* | --localsta=* | --localst=* \ - | --locals=* | --local=* | --loca=* | --loc=* | --lo=*) + | --localstate=* | --localstat=* | --localsta=* | --localst=* | --locals=*) localstatedir=$ac_optarg ;; -mandir | --mandir | --mandi | --mand | --man | --ma | --m) @@ -497,6 +912,16 @@ do | --progr-tra=* | --program-tr=* | --program-t=*) program_transform_name=$ac_optarg ;; + -pdfdir | --pdfdir | --pdfdi | --pdfd | --pdf | --pd) + ac_prev=pdfdir ;; + -pdfdir=* | --pdfdir=* | --pdfdi=* | --pdfd=* | --pdf=* | --pd=*) + pdfdir=$ac_optarg ;; + + -psdir | --psdir | --psdi | --psd | --ps) + ac_prev=psdir ;; + -psdir=* | --psdir=* | --psdi=* | --psd=* | --ps=*) + psdir=$ac_optarg ;; + -q | -quiet | --quiet | --quie | --qui | --qu | --q \ | -silent | --silent | --silen | --sile | --sil) silent=yes ;; @@ -547,26 +972,36 @@ do ac_init_version=: ;; -with-* | --with-*) - ac_package=`expr "x$ac_option" : 'x-*with-\([^=]*\)'` + ac_useropt=`expr "x$ac_option" : 'x-*with-\([^=]*\)'` # Reject names that are not valid shell variable names. - expr "x$ac_package" : ".*[^-_$as_cr_alnum]" >/dev/null && - { echo "$as_me: error: invalid package name: $ac_package" >&2 - { (exit 1); exit 1; }; } - ac_package=`echo $ac_package| sed 's/-/_/g'` - case $ac_option in - *=*) ac_optarg=`echo "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"`;; - *) ac_optarg=yes ;; + expr "x$ac_useropt" : ".*[^-+._$as_cr_alnum]" >/dev/null && + as_fn_error $? "invalid package name: $ac_useropt" + ac_useropt_orig=$ac_useropt + ac_useropt=`$as_echo "$ac_useropt" | sed 's/[-+.]/_/g'` + case $ac_user_opts in + *" +"with_$ac_useropt" +"*) ;; + *) ac_unrecognized_opts="$ac_unrecognized_opts$ac_unrecognized_sep--with-$ac_useropt_orig" + ac_unrecognized_sep=', ';; esac - eval "with_$ac_package='$ac_optarg'" ;; + eval with_$ac_useropt=\$ac_optarg ;; -without-* | --without-*) - ac_package=`expr "x$ac_option" : 'x-*without-\(.*\)'` + ac_useropt=`expr "x$ac_option" : 'x-*without-\(.*\)'` # Reject names that are not valid shell variable names. - expr "x$ac_package" : ".*[^-_$as_cr_alnum]" >/dev/null && - { echo "$as_me: error: invalid package name: $ac_package" >&2 - { (exit 1); exit 1; }; } - ac_package=`echo $ac_package | sed 's/-/_/g'` - eval "with_$ac_package=no" ;; + expr "x$ac_useropt" : ".*[^-+._$as_cr_alnum]" >/dev/null && + as_fn_error $? "invalid package name: $ac_useropt" + ac_useropt_orig=$ac_useropt + ac_useropt=`$as_echo "$ac_useropt" | sed 's/[-+.]/_/g'` + case $ac_user_opts in + *" +"with_$ac_useropt" +"*) ;; + *) ac_unrecognized_opts="$ac_unrecognized_opts$ac_unrecognized_sep--without-$ac_useropt_orig" + ac_unrecognized_sep=', ';; + esac + eval with_$ac_useropt=no ;; --x) # Obsolete; use --with-x. @@ -586,27 +1021,26 @@ do | --x-librar=* | --x-libra=* | --x-libr=* | --x-lib=* | --x-li=* | --x-l=*) x_libraries=$ac_optarg ;; - -*) { echo "$as_me: error: unrecognized option: $ac_option -Try \`$0 --help' for more information." >&2 - { (exit 1); exit 1; }; } + -*) as_fn_error $? "unrecognized option: \`$ac_option' +Try \`$0 --help' for more information" ;; *=*) ac_envvar=`expr "x$ac_option" : 'x\([^=]*\)='` # Reject names that are not valid shell variable names. - expr "x$ac_envvar" : ".*[^_$as_cr_alnum]" >/dev/null && - { echo "$as_me: error: invalid variable name: $ac_envvar" >&2 - { (exit 1); exit 1; }; } - ac_optarg=`echo "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"` - eval "$ac_envvar='$ac_optarg'" + case $ac_envvar in #( + '' | [0-9]* | *[!_$as_cr_alnum]* ) + as_fn_error $? "invalid variable name: \`$ac_envvar'" ;; + esac + eval $ac_envvar=\$ac_optarg export $ac_envvar ;; *) # FIXME: should be removed in autoconf 3.0. - echo "$as_me: WARNING: you should use --build, --host, --target" >&2 + $as_echo "$as_me: WARNING: you should use --build, --host, --target" >&2 expr "x$ac_option" : ".*[^-._$as_cr_alnum]" >/dev/null && - echo "$as_me: WARNING: invalid host type: $ac_option" >&2 - : ${build_alias=$ac_option} ${host_alias=$ac_option} ${target_alias=$ac_option} + $as_echo "$as_me: WARNING: invalid host type: $ac_option" >&2 + : "${build_alias=$ac_option} ${host_alias=$ac_option} ${target_alias=$ac_option}" ;; esac @@ -614,31 +1048,36 @@ done if test -n "$ac_prev"; then ac_option=--`echo $ac_prev | sed 's/_/-/g'` - { echo "$as_me: error: missing argument to $ac_option" >&2 - { (exit 1); exit 1; }; } + as_fn_error $? "missing argument to $ac_option" fi -# Be sure to have absolute paths. -for ac_var in exec_prefix prefix -do - eval ac_val=$`echo $ac_var` - case $ac_val in - [\\/$]* | ?:[\\/]* | NONE | '' ) ;; - *) { echo "$as_me: error: expected an absolute directory name for --$ac_var: $ac_val" >&2 - { (exit 1); exit 1; }; };; +if test -n "$ac_unrecognized_opts"; then + case $enable_option_checking in + no) ;; + fatal) as_fn_error $? "unrecognized options: $ac_unrecognized_opts" ;; + *) $as_echo "$as_me: WARNING: unrecognized options: $ac_unrecognized_opts" >&2 ;; esac -done +fi -# Be sure to have absolute paths. -for ac_var in bindir sbindir libexecdir datadir sysconfdir sharedstatedir \ - localstatedir libdir includedir oldincludedir infodir mandir +# Check all directory arguments for consistency. +for ac_var in exec_prefix prefix bindir sbindir libexecdir datarootdir \ + datadir sysconfdir sharedstatedir localstatedir includedir \ + oldincludedir docdir infodir htmldir dvidir pdfdir psdir \ + libdir localedir mandir do - eval ac_val=$`echo $ac_var` + eval ac_val=\$$ac_var + # Remove trailing slashes. + case $ac_val in + */ ) + ac_val=`expr "X$ac_val" : 'X\(.*[^/]\)' \| "X$ac_val" : 'X\(.*\)'` + eval $ac_var=\$ac_val;; + esac + # Be sure to have absolute directory names. case $ac_val in - [\\/$]* | ?:[\\/]* ) ;; - *) { echo "$as_me: error: expected an absolute directory name for --$ac_var: $ac_val" >&2 - { (exit 1); exit 1; }; };; + [\\/$]* | ?:[\\/]* ) continue;; + NONE | '' ) case $ac_var in *prefix ) continue;; esac;; esac + as_fn_error $? "expected an absolute directory name for --$ac_var: $ac_val" done # There might be people who depend on the old broken behavior: `$host' @@ -652,8 +1091,6 @@ target=$target_alias if test "x$host_alias" != x; then if test "x$build_alias" = x; then cross_compiling=maybe - echo "$as_me: WARNING: If you wanted to set the --build type, don't use --host. - If a cross compiler is detected then cross compile mode will be used." >&2 elif test "x$build_alias" != "x$host_alias"; then cross_compiling=yes fi @@ -665,54 +1102,72 @@ test -n "$host_alias" && ac_tool_prefix=$host_alias- test "$silent" = yes && exec 6>/dev/null +ac_pwd=`pwd` && test -n "$ac_pwd" && +ac_ls_di=`ls -di .` && +ac_pwd_ls_di=`cd "$ac_pwd" && ls -di .` || + as_fn_error $? "working directory cannot be determined" +test "X$ac_ls_di" = "X$ac_pwd_ls_di" || + as_fn_error $? "pwd does not report name of working directory" + + # Find the source files, if location was not specified. if test -z "$srcdir"; then ac_srcdir_defaulted=yes - # Try the directory containing this script, then its parent. - ac_confdir=`(dirname "$0") 2>/dev/null || -$as_expr X"$0" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \ - X"$0" : 'X\(//\)[^/]' \| \ - X"$0" : 'X\(//\)$' \| \ - X"$0" : 'X\(/\)' \| \ - . : '\(.\)' 2>/dev/null || -echo X"$0" | - sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{ s//\1/; q; } - /^X\(\/\/\)[^/].*/{ s//\1/; q; } - /^X\(\/\/\)$/{ s//\1/; q; } - /^X\(\/\).*/{ s//\1/; q; } - s/.*/./; q'` + # Try the directory containing this script, then the parent directory. + ac_confdir=`$as_dirname -- "$as_myself" || +$as_expr X"$as_myself" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \ + X"$as_myself" : 'X\(//\)[^/]' \| \ + X"$as_myself" : 'X\(//\)$' \| \ + X"$as_myself" : 'X\(/\)' \| . 2>/dev/null || +$as_echo X"$as_myself" | + sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{ + s//\1/ + q + } + /^X\(\/\/\)[^/].*/{ + s//\1/ + q + } + /^X\(\/\/\)$/{ + s//\1/ + q + } + /^X\(\/\).*/{ + s//\1/ + q + } + s/.*/./; q'` srcdir=$ac_confdir - if test ! -r $srcdir/$ac_unique_file; then + if test ! -r "$srcdir/$ac_unique_file"; then srcdir=.. fi else ac_srcdir_defaulted=no fi -if test ! -r $srcdir/$ac_unique_file; then - if test "$ac_srcdir_defaulted" = yes; then - { echo "$as_me: error: cannot find sources ($ac_unique_file) in $ac_confdir or .." >&2 - { (exit 1); exit 1; }; } - else - { echo "$as_me: error: cannot find sources ($ac_unique_file) in $srcdir" >&2 - { (exit 1); exit 1; }; } - fi +if test ! -r "$srcdir/$ac_unique_file"; then + test "$ac_srcdir_defaulted" = yes && srcdir="$ac_confdir or .." + as_fn_error $? "cannot find sources ($ac_unique_file) in $srcdir" fi -(cd $srcdir && test -r ./$ac_unique_file) 2>/dev/null || - { echo "$as_me: error: sources are in $srcdir, but \`cd $srcdir' does not work" >&2 - { (exit 1); exit 1; }; } -srcdir=`echo "$srcdir" | sed 's%\([^\\/]\)[\\/]*$%\1%'` -ac_env_build_alias_set=${build_alias+set} -ac_env_build_alias_value=$build_alias -ac_cv_env_build_alias_set=${build_alias+set} -ac_cv_env_build_alias_value=$build_alias -ac_env_host_alias_set=${host_alias+set} -ac_env_host_alias_value=$host_alias -ac_cv_env_host_alias_set=${host_alias+set} -ac_cv_env_host_alias_value=$host_alias -ac_env_target_alias_set=${target_alias+set} -ac_env_target_alias_value=$target_alias -ac_cv_env_target_alias_set=${target_alias+set} -ac_cv_env_target_alias_value=$target_alias +ac_msg="sources are in $srcdir, but \`cd $srcdir' does not work" +ac_abs_confdir=`( + cd "$srcdir" && test -r "./$ac_unique_file" || as_fn_error $? "$ac_msg" + pwd)` +# When building in place, set srcdir=. +if test "$ac_abs_confdir" = "$ac_pwd"; then + srcdir=. +fi +# Remove unnecessary trailing slashes from srcdir. +# Double slashes in file names in object file debugging info +# mess up M-x gdb in Emacs. +case $srcdir in +*/) srcdir=`expr "X$srcdir" : 'X\(.*[^/]\)' \| "X$srcdir" : 'X\(.*\)'`;; +esac +for ac_var in $ac_precious_vars; do + eval ac_env_${ac_var}_set=\${${ac_var}+set} + eval ac_env_${ac_var}_value=\$${ac_var} + eval ac_cv_env_${ac_var}_set=\${${ac_var}+set} + eval ac_cv_env_${ac_var}_value=\$${ac_var} +done # # Report the --help message. @@ -735,20 +1190,17 @@ Configuration: --help=short display options specific to this package --help=recursive display the short help of all the included packages -V, --version display version information and exit - -q, --quiet, --silent do not print \`checking...' messages + -q, --quiet, --silent do not print \`checking ...' messages --cache-file=FILE cache test results in FILE [disabled] -C, --config-cache alias for \`--cache-file=config.cache' -n, --no-create do not create output files --srcdir=DIR find the sources in DIR [configure dir or \`..'] -_ACEOF - - cat <<_ACEOF Installation directories: --prefix=PREFIX install architecture-independent files in PREFIX - [$ac_default_prefix] + [$ac_default_prefix] --exec-prefix=EPREFIX install architecture-dependent files in EPREFIX - [PREFIX] + [PREFIX] By default, \`make install' will install all the files in \`$ac_default_prefix/bin', \`$ac_default_prefix/lib' etc. You can specify @@ -758,18 +1210,25 @@ for instance \`--prefix=\$HOME'. For better control, use the options below. Fine tuning of the installation directories: - --bindir=DIR user executables [EPREFIX/bin] - --sbindir=DIR system admin executables [EPREFIX/sbin] - --libexecdir=DIR program executables [EPREFIX/libexec] - --datadir=DIR read-only architecture-independent data [PREFIX/share] - --sysconfdir=DIR read-only single-machine data [PREFIX/etc] - --sharedstatedir=DIR modifiable architecture-independent data [PREFIX/com] - --localstatedir=DIR modifiable single-machine data [PREFIX/var] - --libdir=DIR object code libraries [EPREFIX/lib] - --includedir=DIR C header files [PREFIX/include] - --oldincludedir=DIR C header files for non-gcc [/usr/include] - --infodir=DIR info documentation [PREFIX/info] - --mandir=DIR man documentation [PREFIX/man] + --bindir=DIR user executables [EPREFIX/bin] + --sbindir=DIR system admin executables [EPREFIX/sbin] + --libexecdir=DIR program executables [EPREFIX/libexec] + --sysconfdir=DIR read-only single-machine data [PREFIX/etc] + --sharedstatedir=DIR modifiable architecture-independent data [PREFIX/com] + --localstatedir=DIR modifiable single-machine data [PREFIX/var] + --libdir=DIR object code libraries [EPREFIX/lib] + --includedir=DIR C header files [PREFIX/include] + --oldincludedir=DIR C header files for non-gcc [/usr/include] + --datarootdir=DIR read-only arch.-independent data root [PREFIX/share] + --datadir=DIR read-only architecture-independent data [DATAROOTDIR] + --infodir=DIR info documentation [DATAROOTDIR/info] + --localedir=DIR locale-dependent data [DATAROOTDIR/locale] + --mandir=DIR man documentation [DATAROOTDIR/man] + --docdir=DIR documentation root [DATAROOTDIR/doc/PACKAGE] + --htmldir=DIR html documentation [DOCDIR] + --dvidir=DIR dvi documentation [DOCDIR] + --pdfdir=DIR pdf documentation [DOCDIR] + --psdir=DIR ps documentation [DOCDIR] _ACEOF cat <<\_ACEOF @@ -785,119 +1244,93 @@ Optional Packages: --without-PACKAGE do not use PACKAGE (same as --with-PACKAGE=no) --with-tcl=DIR use Tcl $DEF_VER binaries from DIR +Report bugs to the package provider. _ACEOF +ac_status=$? fi if test "$ac_init_help" = "recursive"; then # If there are subdirs, report their specific --help. - ac_popdir=`pwd` for ac_dir in : $ac_subdirs_all; do test "x$ac_dir" = x: && continue - test -d $ac_dir || continue + test -d "$ac_dir" || + { cd "$srcdir" && ac_pwd=`pwd` && srcdir=. && test -d "$ac_dir"; } || + continue ac_builddir=. -if test "$ac_dir" != .; then - ac_dir_suffix=/`echo "$ac_dir" | sed 's,^\.[\\/],,'` - # A "../" for each directory in $ac_dir_suffix. - ac_top_builddir=`echo "$ac_dir_suffix" | sed 's,/[^\\/]*,../,g'` -else - ac_dir_suffix= ac_top_builddir= -fi +case "$ac_dir" in +.) ac_dir_suffix= ac_top_builddir_sub=. ac_top_build_prefix= ;; +*) + ac_dir_suffix=/`$as_echo "$ac_dir" | sed 's|^\.[\\/]||'` + # A ".." for each directory in $ac_dir_suffix. + ac_top_builddir_sub=`$as_echo "$ac_dir_suffix" | sed 's|/[^\\/]*|/..|g;s|/||'` + case $ac_top_builddir_sub in + "") ac_top_builddir_sub=. ac_top_build_prefix= ;; + *) ac_top_build_prefix=$ac_top_builddir_sub/ ;; + esac ;; +esac +ac_abs_top_builddir=$ac_pwd +ac_abs_builddir=$ac_pwd$ac_dir_suffix +# for backward compatibility: +ac_top_builddir=$ac_top_build_prefix case $srcdir in - .) # No --srcdir option. We are building in place. + .) # We are building in place. ac_srcdir=. - if test -z "$ac_top_builddir"; then - ac_top_srcdir=. - else - ac_top_srcdir=`echo $ac_top_builddir | sed 's,/$,,'` - fi ;; - [\\/]* | ?:[\\/]* ) # Absolute path. + ac_top_srcdir=$ac_top_builddir_sub + ac_abs_top_srcdir=$ac_pwd ;; + [\\/]* | ?:[\\/]* ) # Absolute name. ac_srcdir=$srcdir$ac_dir_suffix; - ac_top_srcdir=$srcdir ;; - *) # Relative path. - ac_srcdir=$ac_top_builddir$srcdir$ac_dir_suffix - ac_top_srcdir=$ac_top_builddir$srcdir ;; -esac - -# Do not use `cd foo && pwd` to compute absolute paths, because -# the directories may not exist. -case `pwd` in -.) ac_abs_builddir="$ac_dir";; -*) - case "$ac_dir" in - .) ac_abs_builddir=`pwd`;; - [\\/]* | ?:[\\/]* ) ac_abs_builddir="$ac_dir";; - *) ac_abs_builddir=`pwd`/"$ac_dir";; - esac;; -esac -case $ac_abs_builddir in -.) ac_abs_top_builddir=${ac_top_builddir}.;; -*) - case ${ac_top_builddir}. in - .) ac_abs_top_builddir=$ac_abs_builddir;; - [\\/]* | ?:[\\/]* ) ac_abs_top_builddir=${ac_top_builddir}.;; - *) ac_abs_top_builddir=$ac_abs_builddir/${ac_top_builddir}.;; - esac;; -esac -case $ac_abs_builddir in -.) ac_abs_srcdir=$ac_srcdir;; -*) - case $ac_srcdir in - .) ac_abs_srcdir=$ac_abs_builddir;; - [\\/]* | ?:[\\/]* ) ac_abs_srcdir=$ac_srcdir;; - *) ac_abs_srcdir=$ac_abs_builddir/$ac_srcdir;; - esac;; + ac_top_srcdir=$srcdir + ac_abs_top_srcdir=$srcdir ;; + *) # Relative name. + ac_srcdir=$ac_top_build_prefix$srcdir$ac_dir_suffix + ac_top_srcdir=$ac_top_build_prefix$srcdir + ac_abs_top_srcdir=$ac_pwd/$srcdir ;; esac -case $ac_abs_builddir in -.) ac_abs_top_srcdir=$ac_top_srcdir;; -*) - case $ac_top_srcdir in - .) ac_abs_top_srcdir=$ac_abs_builddir;; - [\\/]* | ?:[\\/]* ) ac_abs_top_srcdir=$ac_top_srcdir;; - *) ac_abs_top_srcdir=$ac_abs_builddir/$ac_top_srcdir;; - esac;; -esac - - cd $ac_dir - # Check for guested configure; otherwise get Cygnus style configure. - if test -f $ac_srcdir/configure.gnu; then - echo - $SHELL $ac_srcdir/configure.gnu --help=recursive - elif test -f $ac_srcdir/configure; then - echo - $SHELL $ac_srcdir/configure --help=recursive - elif test -f $ac_srcdir/configure.ac || - test -f $ac_srcdir/configure.in; then - echo - $ac_configure --help +ac_abs_srcdir=$ac_abs_top_srcdir$ac_dir_suffix + + cd "$ac_dir" || { ac_status=$?; continue; } + # Check for guested configure. + if test -f "$ac_srcdir/configure.gnu"; then + echo && + $SHELL "$ac_srcdir/configure.gnu" --help=recursive + elif test -f "$ac_srcdir/configure"; then + echo && + $SHELL "$ac_srcdir/configure" --help=recursive else - echo "$as_me: WARNING: no configuration information is in $ac_dir" >&2 - fi - cd $ac_popdir + $as_echo "$as_me: WARNING: no configuration information is in $ac_dir" >&2 + fi || ac_status=$? + cd "$ac_pwd" || { ac_status=$?; break; } done fi -test -n "$ac_init_help" && exit 0 +test -n "$ac_init_help" && exit $ac_status if $ac_init_version; then cat <<\_ACEOF +configure +generated by GNU Autoconf 2.69 -Copyright (C) 2003 Free Software Foundation, Inc. +Copyright (C) 2012 Free Software Foundation, Inc. This configure script is free software; the Free Software Foundation gives unlimited permission to copy, distribute and modify it. _ACEOF - exit 0 + exit fi -exec 5>config.log -cat >&5 <<_ACEOF + +## ------------------------ ## +## Autoconf initialization. ## +## ------------------------ ## +cat >config.log <<_ACEOF This file contains any messages produced by compilers while running configure, to aid debugging if configure makes a mistake. It was created by $as_me, which was -generated by GNU Autoconf 2.59. Invocation command line was +generated by GNU Autoconf 2.69. Invocation command line was $ $0 $@ _ACEOF +exec 5>>config.log { cat <<_ASUNAME ## --------- ## @@ -916,7 +1349,7 @@ uname -v = `(uname -v) 2>/dev/null || echo unknown` /bin/arch = `(/bin/arch) 2>/dev/null || echo unknown` /usr/bin/arch -k = `(/usr/bin/arch -k) 2>/dev/null || echo unknown` /usr/convex/getsysinfo = `(/usr/convex/getsysinfo) 2>/dev/null || echo unknown` -hostinfo = `(hostinfo) 2>/dev/null || echo unknown` +/usr/bin/hostinfo = `(/usr/bin/hostinfo) 2>/dev/null || echo unknown` /bin/machine = `(/bin/machine) 2>/dev/null || echo unknown` /usr/bin/oslevel = `(/usr/bin/oslevel) 2>/dev/null || echo unknown` /bin/universe = `(/bin/universe) 2>/dev/null || echo unknown` @@ -928,8 +1361,9 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - echo "PATH: $as_dir" -done + $as_echo "PATH: $as_dir" + done +IFS=$as_save_IFS } >&5 @@ -951,7 +1385,6 @@ _ACEOF ac_configure_args= ac_configure_args0= ac_configure_args1= -ac_sep= ac_must_keep_next=false for ac_pass in 1 2 do @@ -962,13 +1395,13 @@ do -q | -quiet | --quiet | --quie | --qui | --qu | --q \ | -silent | --silent | --silen | --sile | --sil) continue ;; - *" "*|*" "*|*[\[\]\~\#\$\^\&\*\(\)\{\}\\\|\;\<\>\?\"\']*) - ac_arg=`echo "$ac_arg" | sed "s/'/'\\\\\\\\''/g"` ;; + *\'*) + ac_arg=`$as_echo "$ac_arg" | sed "s/'/'\\\\\\\\''/g"` ;; esac case $ac_pass in - 1) ac_configure_args0="$ac_configure_args0 '$ac_arg'" ;; + 1) as_fn_append ac_configure_args0 " '$ac_arg'" ;; 2) - ac_configure_args1="$ac_configure_args1 '$ac_arg'" + as_fn_append ac_configure_args1 " '$ac_arg'" if test $ac_must_keep_next = true; then ac_must_keep_next=false # Got value, back to normal. else @@ -984,104 +1417,115 @@ do -* ) ac_must_keep_next=true ;; esac fi - ac_configure_args="$ac_configure_args$ac_sep'$ac_arg'" - # Get rid of the leading space. - ac_sep=" " + as_fn_append ac_configure_args " '$ac_arg'" ;; esac done done -$as_unset ac_configure_args0 || test "${ac_configure_args0+set}" != set || { ac_configure_args0=; export ac_configure_args0; } -$as_unset ac_configure_args1 || test "${ac_configure_args1+set}" != set || { ac_configure_args1=; export ac_configure_args1; } +{ ac_configure_args0=; unset ac_configure_args0;} +{ ac_configure_args1=; unset ac_configure_args1;} # When interrupted or exit'd, cleanup temporary files, and complete # config.log. We remove comments because anyway the quotes in there # would cause problems or look ugly. -# WARNING: Be sure not to use single quotes in there, as some shells, -# such as our DU 5.0 friend, will then `close' the trap. +# WARNING: Use '\'' to represent an apostrophe within the trap. +# WARNING: Do not start the trap code with a newline, due to a FreeBSD 4.0 bug. trap 'exit_status=$? # Save into config.log some information that might help in debugging. { echo - cat <<\_ASBOX -## ---------------- ## + $as_echo "## ---------------- ## ## Cache variables. ## -## ---------------- ## -_ASBOX +## ---------------- ##" echo # The following way of writing the cache mishandles newlines in values, -{ +( + for ac_var in `(set) 2>&1 | sed -n '\''s/^\([a-zA-Z_][a-zA-Z0-9_]*\)=.*/\1/p'\''`; do + eval ac_val=\$$ac_var + case $ac_val in #( + *${as_nl}*) + case $ac_var in #( + *_cv_*) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: cache variable $ac_var contains a newline" >&5 +$as_echo "$as_me: WARNING: cache variable $ac_var contains a newline" >&2;} ;; + esac + case $ac_var in #( + _ | IFS | as_nl) ;; #( + BASH_ARGV | BASH_SOURCE) eval $ac_var= ;; #( + *) { eval $ac_var=; unset $ac_var;} ;; + esac ;; + esac + done (set) 2>&1 | - case `(ac_space='"'"' '"'"'; set | grep ac_space) 2>&1` in - *ac_space=\ *) + case $as_nl`(ac_space='\'' '\''; set) 2>&1` in #( + *${as_nl}ac_space=\ *) sed -n \ - "s/'"'"'/'"'"'\\\\'"'"''"'"'/g; - s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1='"'"'\\2'"'"'/p" - ;; + "s/'\''/'\''\\\\'\'''\''/g; + s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1='\''\\2'\''/p" + ;; #( *) - sed -n \ - "s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1=\\2/p" + sed -n "/^[_$as_cr_alnum]*_cv_[_$as_cr_alnum]*=/p" ;; - esac; -} + esac | + sort +) echo - cat <<\_ASBOX -## ----------------- ## + $as_echo "## ----------------- ## ## Output variables. ## -## ----------------- ## -_ASBOX +## ----------------- ##" echo for ac_var in $ac_subst_vars do - eval ac_val=$`echo $ac_var` - echo "$ac_var='"'"'$ac_val'"'"'" + eval ac_val=\$$ac_var + case $ac_val in + *\'\''*) ac_val=`$as_echo "$ac_val" | sed "s/'\''/'\''\\\\\\\\'\'''\''/g"`;; + esac + $as_echo "$ac_var='\''$ac_val'\''" done | sort echo if test -n "$ac_subst_files"; then - cat <<\_ASBOX -## ------------- ## -## Output files. ## -## ------------- ## -_ASBOX + $as_echo "## ------------------- ## +## File substitutions. ## +## ------------------- ##" echo for ac_var in $ac_subst_files do - eval ac_val=$`echo $ac_var` - echo "$ac_var='"'"'$ac_val'"'"'" + eval ac_val=\$$ac_var + case $ac_val in + *\'\''*) ac_val=`$as_echo "$ac_val" | sed "s/'\''/'\''\\\\\\\\'\'''\''/g"`;; + esac + $as_echo "$ac_var='\''$ac_val'\''" done | sort echo fi if test -s confdefs.h; then - cat <<\_ASBOX -## ----------- ## + $as_echo "## ----------- ## ## confdefs.h. ## -## ----------- ## -_ASBOX +## ----------- ##" echo - sed "/^$/d" confdefs.h | sort + cat confdefs.h echo fi test "$ac_signal" != 0 && - echo "$as_me: caught signal $ac_signal" - echo "$as_me: exit $exit_status" + $as_echo "$as_me: caught signal $ac_signal" + $as_echo "$as_me: exit $exit_status" } >&5 - rm -f core *.core && - rm -rf conftest* confdefs* conf$$* $ac_clean_files && + rm -f core *.core core.conftest.* && + rm -f -r conftest* confdefs* conf$$* $ac_clean_files && exit $exit_status - ' 0 +' 0 for ac_signal in 1 2 13 15; do - trap 'ac_signal='$ac_signal'; { (exit 1); exit 1; }' $ac_signal + trap 'ac_signal='$ac_signal'; as_fn_exit 1' $ac_signal done ac_signal=0 # confdefs.h avoids OS command line length limits that DEFS can exceed. -rm -rf conftest* confdefs.h -# AIX cpp loses on an empty file, so make sure it contains at least a newline. -echo >confdefs.h +rm -f -r conftest* confdefs.h + +$as_echo "/* confdefs.h */" > confdefs.h # Predefined preprocessor variables. @@ -1089,112 +1533,137 @@ cat >>confdefs.h <<_ACEOF #define PACKAGE_NAME "$PACKAGE_NAME" _ACEOF - cat >>confdefs.h <<_ACEOF #define PACKAGE_TARNAME "$PACKAGE_TARNAME" _ACEOF - cat >>confdefs.h <<_ACEOF #define PACKAGE_VERSION "$PACKAGE_VERSION" _ACEOF - cat >>confdefs.h <<_ACEOF #define PACKAGE_STRING "$PACKAGE_STRING" _ACEOF - cat >>confdefs.h <<_ACEOF #define PACKAGE_BUGREPORT "$PACKAGE_BUGREPORT" _ACEOF +cat >>confdefs.h <<_ACEOF +#define PACKAGE_URL "$PACKAGE_URL" +_ACEOF + # Let the site file select an alternate cache file if it wants to. -# Prefer explicitly selected file to automatically selected ones. -if test -z "$CONFIG_SITE"; then - if test "x$prefix" != xNONE; then - CONFIG_SITE="$prefix/share/config.site $prefix/etc/config.site" - else - CONFIG_SITE="$ac_default_prefix/share/config.site $ac_default_prefix/etc/config.site" - fi +# Prefer an explicitly selected file to automatically selected ones. +ac_site_file1=NONE +ac_site_file2=NONE +if test -n "$CONFIG_SITE"; then + # We do not want a PATH search for config.site. + case $CONFIG_SITE in #(( + -*) ac_site_file1=./$CONFIG_SITE;; + */*) ac_site_file1=$CONFIG_SITE;; + *) ac_site_file1=./$CONFIG_SITE;; + esac +elif test "x$prefix" != xNONE; then + ac_site_file1=$prefix/share/config.site + ac_site_file2=$prefix/etc/config.site +else + ac_site_file1=$ac_default_prefix/share/config.site + ac_site_file2=$ac_default_prefix/etc/config.site fi -for ac_site_file in $CONFIG_SITE; do - if test -r "$ac_site_file"; then - { echo "$as_me:$LINENO: loading site script $ac_site_file" >&5 -echo "$as_me: loading site script $ac_site_file" >&6;} +for ac_site_file in "$ac_site_file1" "$ac_site_file2" +do + test "x$ac_site_file" = xNONE && continue + if test /dev/null != "$ac_site_file" && test -r "$ac_site_file"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: loading site script $ac_site_file" >&5 +$as_echo "$as_me: loading site script $ac_site_file" >&6;} sed 's/^/| /' "$ac_site_file" >&5 - . "$ac_site_file" + . "$ac_site_file" \ + || { { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error $? "failed to load site script $ac_site_file +See \`config.log' for more details" "$LINENO" 5; } fi done if test -r "$cache_file"; then - # Some versions of bash will fail to source /dev/null (special - # files actually), so we avoid doing that. - if test -f "$cache_file"; then - { echo "$as_me:$LINENO: loading cache $cache_file" >&5 -echo "$as_me: loading cache $cache_file" >&6;} + # Some versions of bash will fail to source /dev/null (special files + # actually), so we avoid doing that. DJGPP emulates it as a regular file. + if test /dev/null != "$cache_file" && test -f "$cache_file"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: loading cache $cache_file" >&5 +$as_echo "$as_me: loading cache $cache_file" >&6;} case $cache_file in - [\\/]* | ?:[\\/]* ) . $cache_file;; - *) . ./$cache_file;; + [\\/]* | ?:[\\/]* ) . "$cache_file";; + *) . "./$cache_file";; esac fi else - { echo "$as_me:$LINENO: creating cache $cache_file" >&5 -echo "$as_me: creating cache $cache_file" >&6;} + { $as_echo "$as_me:${as_lineno-$LINENO}: creating cache $cache_file" >&5 +$as_echo "$as_me: creating cache $cache_file" >&6;} >$cache_file fi # Check that the precious variables saved in the cache have kept the same # value. ac_cache_corrupted=false -for ac_var in `(set) 2>&1 | - sed -n 's/^ac_env_\([a-zA-Z_0-9]*\)_set=.*/\1/p'`; do +for ac_var in $ac_precious_vars; do eval ac_old_set=\$ac_cv_env_${ac_var}_set eval ac_new_set=\$ac_env_${ac_var}_set - eval ac_old_val="\$ac_cv_env_${ac_var}_value" - eval ac_new_val="\$ac_env_${ac_var}_value" + eval ac_old_val=\$ac_cv_env_${ac_var}_value + eval ac_new_val=\$ac_env_${ac_var}_value case $ac_old_set,$ac_new_set in set,) - { echo "$as_me:$LINENO: error: \`$ac_var' was set to \`$ac_old_val' in the previous run" >&5 -echo "$as_me: error: \`$ac_var' was set to \`$ac_old_val' in the previous run" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: error: \`$ac_var' was set to \`$ac_old_val' in the previous run" >&5 +$as_echo "$as_me: error: \`$ac_var' was set to \`$ac_old_val' in the previous run" >&2;} ac_cache_corrupted=: ;; ,set) - { echo "$as_me:$LINENO: error: \`$ac_var' was not set in the previous run" >&5 -echo "$as_me: error: \`$ac_var' was not set in the previous run" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: error: \`$ac_var' was not set in the previous run" >&5 +$as_echo "$as_me: error: \`$ac_var' was not set in the previous run" >&2;} ac_cache_corrupted=: ;; ,);; *) if test "x$ac_old_val" != "x$ac_new_val"; then - { echo "$as_me:$LINENO: error: \`$ac_var' has changed since the previous run:" >&5 -echo "$as_me: error: \`$ac_var' has changed since the previous run:" >&2;} - { echo "$as_me:$LINENO: former value: $ac_old_val" >&5 -echo "$as_me: former value: $ac_old_val" >&2;} - { echo "$as_me:$LINENO: current value: $ac_new_val" >&5 -echo "$as_me: current value: $ac_new_val" >&2;} - ac_cache_corrupted=: + # differences in whitespace do not lead to failure. + ac_old_val_w=`echo x $ac_old_val` + ac_new_val_w=`echo x $ac_new_val` + if test "$ac_old_val_w" != "$ac_new_val_w"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: error: \`$ac_var' has changed since the previous run:" >&5 +$as_echo "$as_me: error: \`$ac_var' has changed since the previous run:" >&2;} + ac_cache_corrupted=: + else + { $as_echo "$as_me:${as_lineno-$LINENO}: warning: ignoring whitespace changes in \`$ac_var' since the previous run:" >&5 +$as_echo "$as_me: warning: ignoring whitespace changes in \`$ac_var' since the previous run:" >&2;} + eval $ac_var=\$ac_old_val + fi + { $as_echo "$as_me:${as_lineno-$LINENO}: former value: \`$ac_old_val'" >&5 +$as_echo "$as_me: former value: \`$ac_old_val'" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: current value: \`$ac_new_val'" >&5 +$as_echo "$as_me: current value: \`$ac_new_val'" >&2;} fi;; esac # Pass precious variables to config.status. if test "$ac_new_set" = set; then case $ac_new_val in - *" "*|*" "*|*[\[\]\~\#\$\^\&\*\(\)\{\}\\\|\;\<\>\?\"\']*) - ac_arg=$ac_var=`echo "$ac_new_val" | sed "s/'/'\\\\\\\\''/g"` ;; + *\'*) ac_arg=$ac_var=`$as_echo "$ac_new_val" | sed "s/'/'\\\\\\\\''/g"` ;; *) ac_arg=$ac_var=$ac_new_val ;; esac case " $ac_configure_args " in *" '$ac_arg' "*) ;; # Avoid dups. Use of quotes ensures accuracy. - *) ac_configure_args="$ac_configure_args '$ac_arg'" ;; + *) as_fn_append ac_configure_args " '$ac_arg'" ;; esac fi done if $ac_cache_corrupted; then - { echo "$as_me:$LINENO: error: changes in the environment can compromise the build" >&5 -echo "$as_me: error: changes in the environment can compromise the build" >&2;} - { { echo "$as_me:$LINENO: error: run \`make distclean' and/or \`rm $cache_file' and start over" >&5 -echo "$as_me: error: run \`make distclean' and/or \`rm $cache_file' and start over" >&2;} - { (exit 1); exit 1; }; } + { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: error: changes in the environment can compromise the build" >&5 +$as_echo "$as_me: error: changes in the environment can compromise the build" >&2;} + as_fn_error $? "run \`make distclean' and/or \`rm $cache_file' and start over" "$LINENO" 5 fi +## -------------------- ## +## Main body of script. ## +## -------------------- ## ac_ext=c ac_cpp='$CPP $CPPFLAGS' @@ -1205,23 +1674,6 @@ ac_compiler_gnu=$ac_cv_c_compiler_gnu - - - - - - - - - - - - - - - - - # Recover information that Tcl computed with its configure script. #-------------------------------------------------------------------- @@ -1232,22 +1684,18 @@ ac_compiler_gnu=$ac_cv_c_compiler_gnu DEF_VER=8.6 -# Check whether --with-tcl or --without-tcl was given. -if test "${with_tcl+set}" = set; then - withval="$with_tcl" - TCL_BIN_DIR=$withval +# Check whether --with-tcl was given. +if test "${with_tcl+set}" = set; then : + withval=$with_tcl; TCL_BIN_DIR=$withval else TCL_BIN_DIR=`cd ../../tcl$DEF_VER$TCL_PATCH_LEVEL/unix; pwd` -fi; +fi + if test ! -d $TCL_BIN_DIR; then - { { echo "$as_me:$LINENO: error: Tcl directory $TCL_BIN_DIR doesn't exist" >&5 -echo "$as_me: error: Tcl directory $TCL_BIN_DIR doesn't exist" >&2;} - { (exit 1); exit 1; }; } + as_fn_error $? "Tcl directory $TCL_BIN_DIR doesn't exist" "$LINENO" 5 fi if test ! -f $TCL_BIN_DIR/tclConfig.sh; then - { { echo "$as_me:$LINENO: error: There's no tclConfig.sh in $TCL_BIN_DIR; perhaps you didn't specify the Tcl *build* directory (not the toplevel Tcl directory) or you forgot to configure Tcl?" >&5 -echo "$as_me: error: There's no tclConfig.sh in $TCL_BIN_DIR; perhaps you didn't specify the Tcl *build* directory (not the toplevel Tcl directory) or you forgot to configure Tcl?" >&2;} - { (exit 1); exit 1; }; } + as_fn_error $? "There's no tclConfig.sh in $TCL_BIN_DIR; perhaps you didn't specify the Tcl *build* directory (not the toplevel Tcl directory) or you forgot to configure Tcl?" "$LINENO" 5 fi . $TCL_BIN_DIR/tclConfig.sh @@ -1261,7 +1709,8 @@ CC=$TCL_CC - ac_config_files="$ac_config_files Makefile tcl.hpj" +ac_config_files="$ac_config_files Makefile tcl.hpj" + cat >confcache <<\_ACEOF # This file is a shell script that caches the results of configure # tests run on this system so they can be shared between configure @@ -1280,39 +1729,70 @@ _ACEOF # The following way of writing the cache mishandles newlines in values, # but we know of no workaround that is simple, portable, and efficient. -# So, don't put newlines in cache variables' values. +# So, we kill variables containing newlines. # Ultrix sh set writes to stderr and can't be redirected directly, # and sets the high bit in the cache file unless we assign to the vars. -{ - (set) 2>&1 | - case `(ac_space=' '; set | grep ac_space) 2>&1` in - *ac_space=\ *) - # `set' does not quote correctly, so add quotes (double-quote - # substitution turns \\\\ into \\, and sed turns \\ into \). +( + for ac_var in `(set) 2>&1 | sed -n 's/^\([a-zA-Z_][a-zA-Z0-9_]*\)=.*/\1/p'`; do + eval ac_val=\$$ac_var + case $ac_val in #( + *${as_nl}*) + case $ac_var in #( + *_cv_*) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: cache variable $ac_var contains a newline" >&5 +$as_echo "$as_me: WARNING: cache variable $ac_var contains a newline" >&2;} ;; + esac + case $ac_var in #( + _ | IFS | as_nl) ;; #( + BASH_ARGV | BASH_SOURCE) eval $ac_var= ;; #( + *) { eval $ac_var=; unset $ac_var;} ;; + esac ;; + esac + done + + (set) 2>&1 | + case $as_nl`(ac_space=' '; set) 2>&1` in #( + *${as_nl}ac_space=\ *) + # `set' does not quote correctly, so add quotes: double-quote + # substitution turns \\\\ into \\, and sed turns \\ into \. sed -n \ "s/'/'\\\\''/g; s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1='\\2'/p" - ;; + ;; #( *) # `set' quotes correctly as required by POSIX, so do not add quotes. - sed -n \ - "s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1=\\2/p" + sed -n "/^[_$as_cr_alnum]*_cv_[_$as_cr_alnum]*=/p" ;; - esac; -} | + esac | + sort +) | sed ' + /^ac_cv_env_/b end t clear - : clear + :clear s/^\([^=]*\)=\(.*[{}].*\)$/test "${\1+set}" = set || &/ t end - /^ac_cv_env/!s/^\([^=]*\)=\(.*\)$/\1=${\1=\2}/ - : end' >>confcache -if diff $cache_file confcache >/dev/null 2>&1; then :; else - if test -w $cache_file; then - test "x$cache_file" != "x/dev/null" && echo "updating cache $cache_file" - cat confcache >$cache_file + s/^\([^=]*\)=\(.*\)$/\1=${\1=\2}/ + :end' >>confcache +if diff "$cache_file" confcache >/dev/null 2>&1; then :; else + if test -w "$cache_file"; then + if test "x$cache_file" != "x/dev/null"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: updating cache $cache_file" >&5 +$as_echo "$as_me: updating cache $cache_file" >&6;} + if test ! -f "$cache_file" || test -h "$cache_file"; then + cat confcache >"$cache_file" + else + case $cache_file in #( + */* | ?:*) + mv -f confcache "$cache_file"$$ && + mv -f "$cache_file"$$ "$cache_file" ;; #( + *) + mv -f confcache "$cache_file" ;; + esac + fi + fi else - echo "not updating unwritable cache $cache_file" + { $as_echo "$as_me:${as_lineno-$LINENO}: not updating unwritable cache $cache_file" >&5 +$as_echo "$as_me: not updating unwritable cache $cache_file" >&6;} fi fi rm -f confcache @@ -1321,63 +1801,55 @@ test "x$prefix" = xNONE && prefix=$ac_default_prefix # Let make expand exec_prefix. test "x$exec_prefix" = xNONE && exec_prefix='${prefix}' -# VPATH may cause trouble with some makes, so we remove $(srcdir), -# ${srcdir} and @srcdir@ from VPATH if srcdir is ".", strip leading and -# trailing colons and then remove the whole line if VPATH becomes empty -# (actually we leave an empty line to preserve line numbers). -if test "x$srcdir" = x.; then - ac_vpsub='/^[ ]*VPATH[ ]*=/{ -s/:*\$(srcdir):*/:/; -s/:*\${srcdir}:*/:/; -s/:*@srcdir@:*/:/; -s/^\([^=]*=[ ]*\):*/\1/; -s/:*$//; -s/^[^=]*=[ ]*$//; -}' -fi - # Transform confdefs.h into DEFS. # Protect against shell expansion while executing Makefile rules. # Protect against Makefile macro expansion. # # If the first sed substitution is executed (which looks for macros that -# take arguments), then we branch to the quote section. Otherwise, +# take arguments), then branch to the quote section. Otherwise, # look for a macro that doesn't take arguments. -cat >confdef2opt.sed <<\_ACEOF +ac_script=' +:mline +/\\$/{ + N + s,\\\n,, + b mline +} t clear -: clear -s,^[ ]*#[ ]*define[ ][ ]*\([^ (][^ (]*([^)]*)\)[ ]*\(.*\),-D\1=\2,g +:clear +s/^[ ]*#[ ]*define[ ][ ]*\([^ (][^ (]*([^)]*)\)[ ]*\(.*\)/-D\1=\2/g t quote -s,^[ ]*#[ ]*define[ ][ ]*\([^ ][^ ]*\)[ ]*\(.*\),-D\1=\2,g +s/^[ ]*#[ ]*define[ ][ ]*\([^ ][^ ]*\)[ ]*\(.*\)/-D\1=\2/g t quote -d -: quote -s,[ `~#$^&*(){}\\|;'"<>?],\\&,g -s,\[,\\&,g -s,\],\\&,g -s,\$,$$,g -p -_ACEOF -# We use echo to avoid assuming a particular line-breaking character. -# The extra dot is to prevent the shell from consuming trailing -# line-breaks from the sub-command output. A line-break within -# single-quotes doesn't work because, if this script is created in a -# platform that uses two characters for line-breaks (e.g., DOS), tr -# would break. -ac_LF_and_DOT=`echo; echo .` -DEFS=`sed -n -f confdef2opt.sed confdefs.h | tr "$ac_LF_and_DOT" ' .'` -rm -f confdef2opt.sed +b any +:quote +s/[ `~#$^&*(){}\\|;'\''"<>?]/\\&/g +s/\[/\\&/g +s/\]/\\&/g +s/\$/$$/g +H +:any +${ + g + s/^\n// + s/\n/ /g + p +} +' +DEFS=`sed -n "$ac_script" confdefs.h` ac_libobjs= ac_ltlibobjs= +U= for ac_i in : $LIBOBJS; do test "x$ac_i" = x: && continue # 1. Remove the extension, and $U if already installed. - ac_i=`echo "$ac_i" | - sed 's/\$U\././;s/\.o$//;s/\.obj$//'` - # 2. Add them. - ac_libobjs="$ac_libobjs $ac_i\$U.$ac_objext" - ac_ltlibobjs="$ac_ltlibobjs $ac_i"'$U.lo' + ac_script='s/\$U\././;s/\.o$//;s/\.obj$//' + ac_i=`$as_echo "$ac_i" | sed "$ac_script"` + # 2. Prepend LIBOBJDIR. When used with automake>=1.10 LIBOBJDIR + # will be set to the directory where LIBOBJS objects are built. + as_fn_append ac_libobjs " \${LIBOBJDIR}$ac_i\$U.$ac_objext" + as_fn_append ac_ltlibobjs " \${LIBOBJDIR}$ac_i"'$U.lo' done LIBOBJS=$ac_libobjs @@ -1385,12 +1857,14 @@ LTLIBOBJS=$ac_ltlibobjs -: ${CONFIG_STATUS=./config.status} +: "${CONFIG_STATUS=./config.status}" +ac_write_fail=0 ac_clean_files_save=$ac_clean_files ac_clean_files="$ac_clean_files $CONFIG_STATUS" -{ echo "$as_me:$LINENO: creating $CONFIG_STATUS" >&5 -echo "$as_me: creating $CONFIG_STATUS" >&6;} -cat >$CONFIG_STATUS <<_ACEOF +{ $as_echo "$as_me:${as_lineno-$LINENO}: creating $CONFIG_STATUS" >&5 +$as_echo "$as_me: creating $CONFIG_STATUS" >&6;} +as_write_fail=0 +cat >$CONFIG_STATUS <<_ASEOF || as_write_fail=1 #! $SHELL # Generated by $as_me. # Run this file to recreate the current configuration. @@ -1400,81 +1874,253 @@ cat >$CONFIG_STATUS <<_ACEOF debug=false ac_cs_recheck=false ac_cs_silent=false -SHELL=\${CONFIG_SHELL-$SHELL} -_ACEOF - -cat >>$CONFIG_STATUS <<\_ACEOF -## --------------------- ## -## M4sh Initialization. ## -## --------------------- ## -# Be Bourne compatible -if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then +SHELL=\${CONFIG_SHELL-$SHELL} +export SHELL +_ASEOF +cat >>$CONFIG_STATUS <<\_ASEOF || as_write_fail=1 +## -------------------- ## +## M4sh Initialization. ## +## -------------------- ## + +# Be more Bourne compatible +DUALCASE=1; export DUALCASE # for MKS sh +if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then : emulate sh NULLCMD=: - # Zsh 3.x and 4.x performs word splitting on ${1+"$@"}, which + # Pre-4.2 versions of Zsh do word splitting on ${1+"$@"}, which # is contrary to our usage. Disable this feature. alias -g '${1+"$@"}'='"$@"' -elif test -n "${BASH_VERSION+set}" && (set -o posix) >/dev/null 2>&1; then - set -o posix + setopt NO_GLOB_SUBST +else + case `(set -o) 2>/dev/null` in #( + *posix*) : + set -o posix ;; #( + *) : + ;; +esac fi -DUALCASE=1; export DUALCASE # for MKS sh -# Support unset when possible. -if ( (MAIL=60; unset MAIL) || exit) >/dev/null 2>&1; then - as_unset=unset + +as_nl=' +' +export as_nl +# Printing a long string crashes Solaris 7 /usr/bin/printf. +as_echo='\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\' +as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo +as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo$as_echo +# Prefer a ksh shell builtin over an external printf program on Solaris, +# but without wasting forks for bash or zsh. +if test -z "$BASH_VERSION$ZSH_VERSION" \ + && (test "X`print -r -- $as_echo`" = "X$as_echo") 2>/dev/null; then + as_echo='print -r --' + as_echo_n='print -rn --' +elif (test "X`printf %s $as_echo`" = "X$as_echo") 2>/dev/null; then + as_echo='printf %s\n' + as_echo_n='printf %s' else - as_unset=false + if test "X`(/usr/ucb/echo -n -n $as_echo) 2>/dev/null`" = "X-n $as_echo"; then + as_echo_body='eval /usr/ucb/echo -n "$1$as_nl"' + as_echo_n='/usr/ucb/echo -n' + else + as_echo_body='eval expr "X$1" : "X\\(.*\\)"' + as_echo_n_body='eval + arg=$1; + case $arg in #( + *"$as_nl"*) + expr "X$arg" : "X\\(.*\\)$as_nl"; + arg=`expr "X$arg" : ".*$as_nl\\(.*\\)"`;; + esac; + expr "X$arg" : "X\\(.*\\)" | tr -d "$as_nl" + ' + export as_echo_n_body + as_echo_n='sh -c $as_echo_n_body as_echo' + fi + export as_echo_body + as_echo='sh -c $as_echo_body as_echo' +fi + +# The user is always right. +if test "${PATH_SEPARATOR+set}" != set; then + PATH_SEPARATOR=: + (PATH='/bin;/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 && { + (PATH='/bin:/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 || + PATH_SEPARATOR=';' + } fi -# Work around bugs in pre-3.0 UWIN ksh. -$as_unset ENV MAIL MAILPATH +# IFS +# We need space, tab and new line, in precisely that order. Quoting is +# there to prevent editors from complaining about space-tab. +# (If _AS_PATH_WALK were called with IFS unset, it would disable word +# splitting by setting IFS to empty value.) +IFS=" "" $as_nl" + +# Find who we are. Look in the path if we contain no directory separator. +as_myself= +case $0 in #(( + *[\\/]* ) as_myself=$0 ;; + *) as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + test -r "$as_dir/$0" && as_myself=$as_dir/$0 && break + done +IFS=$as_save_IFS + + ;; +esac +# We did not find ourselves, most probably we were run as `sh COMMAND' +# in which case we are not to be found in the path. +if test "x$as_myself" = x; then + as_myself=$0 +fi +if test ! -f "$as_myself"; then + $as_echo "$as_myself: error: cannot find myself; rerun with an absolute file name" >&2 + exit 1 +fi + +# Unset variables that we do not need and which cause bugs (e.g. in +# pre-3.0 UWIN ksh). But do not cause bugs in bash 2.01; the "|| exit 1" +# suppresses any "Segmentation fault" message there. '((' could +# trigger a bug in pdksh 5.2.14. +for as_var in BASH_ENV ENV MAIL MAILPATH +do eval test x\${$as_var+set} = xset \ + && ( (unset $as_var) || exit 1) >/dev/null 2>&1 && unset $as_var || : +done PS1='$ ' PS2='> ' PS4='+ ' # NLS nuisances. -for as_var in \ - LANG LANGUAGE LC_ADDRESS LC_ALL LC_COLLATE LC_CTYPE LC_IDENTIFICATION \ - LC_MEASUREMENT LC_MESSAGES LC_MONETARY LC_NAME LC_NUMERIC LC_PAPER \ - LC_TELEPHONE LC_TIME -do - if (set +x; test -z "`(eval $as_var=C; export $as_var) 2>&1`"); then - eval $as_var=C; export $as_var - else - $as_unset $as_var +LC_ALL=C +export LC_ALL +LANGUAGE=C +export LANGUAGE + +# CDPATH. +(unset CDPATH) >/dev/null 2>&1 && unset CDPATH + + +# as_fn_error STATUS ERROR [LINENO LOG_FD] +# ---------------------------------------- +# Output "`basename $0`: error: ERROR" to stderr. If LINENO and LOG_FD are +# provided, also output the error to LOG_FD, referencing LINENO. Then exit the +# script with STATUS, using 1 if that was 0. +as_fn_error () +{ + as_status=$1; test $as_status -eq 0 && as_status=1 + if test "$4"; then + as_lineno=${as_lineno-"$3"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + $as_echo "$as_me:${as_lineno-$LINENO}: error: $2" >&$4 fi -done + $as_echo "$as_me: error: $2" >&2 + as_fn_exit $as_status +} # as_fn_error + + +# as_fn_set_status STATUS +# ----------------------- +# Set $? to STATUS, without forking. +as_fn_set_status () +{ + return $1 +} # as_fn_set_status -# Required to use basename. -if expr a : '\(a\)' >/dev/null 2>&1; then +# as_fn_exit STATUS +# ----------------- +# Exit the shell with STATUS, even in a "trap 0" or "set -e" context. +as_fn_exit () +{ + set +e + as_fn_set_status $1 + exit $1 +} # as_fn_exit + +# as_fn_unset VAR +# --------------- +# Portably unset VAR. +as_fn_unset () +{ + { eval $1=; unset $1;} +} +as_unset=as_fn_unset +# as_fn_append VAR VALUE +# ---------------------- +# Append the text in VALUE to the end of the definition contained in VAR. Take +# advantage of any shell optimizations that allow amortized linear growth over +# repeated appends, instead of the typical quadratic growth present in naive +# implementations. +if (eval "as_var=1; as_var+=2; test x\$as_var = x12") 2>/dev/null; then : + eval 'as_fn_append () + { + eval $1+=\$2 + }' +else + as_fn_append () + { + eval $1=\$$1\$2 + } +fi # as_fn_append + +# as_fn_arith ARG... +# ------------------ +# Perform arithmetic evaluation on the ARGs, and store the result in the +# global $as_val. Take advantage of shells that can avoid forks. The arguments +# must be portable across $(()) and expr. +if (eval "test \$(( 1 + 1 )) = 2") 2>/dev/null; then : + eval 'as_fn_arith () + { + as_val=$(( $* )) + }' +else + as_fn_arith () + { + as_val=`expr "$@" || test $? -eq 1` + } +fi # as_fn_arith + + +if expr a : '\(a\)' >/dev/null 2>&1 && + test "X`expr 00001 : '.*\(...\)'`" = X001; then as_expr=expr else as_expr=false fi -if (basename /) >/dev/null 2>&1 && test "X`basename / 2>&1`" = "X/"; then +if (basename -- /) >/dev/null 2>&1 && test "X`basename -- / 2>&1`" = "X/"; then as_basename=basename else as_basename=false fi +if (as_dir=`dirname -- /` && test "X$as_dir" = X/) >/dev/null 2>&1; then + as_dirname=dirname +else + as_dirname=false +fi -# Name of the executable. -as_me=`$as_basename "$0" || +as_me=`$as_basename -- "$0" || $as_expr X/"$0" : '.*/\([^/][^/]*\)/*$' \| \ X"$0" : 'X\(//\)$' \| \ - X"$0" : 'X\(/\)$' \| \ - . : '\(.\)' 2>/dev/null || -echo X/"$0" | - sed '/^.*\/\([^/][^/]*\)\/*$/{ s//\1/; q; } - /^X\/\(\/\/\)$/{ s//\1/; q; } - /^X\/\(\/\).*/{ s//\1/; q; } - s/.*/./; q'` + X"$0" : 'X\(/\)' \| . 2>/dev/null || +$as_echo X/"$0" | + sed '/^.*\/\([^/][^/]*\)\/*$/{ + s//\1/ + q + } + /^X\/\(\/\/\)$/{ + s//\1/ + q + } + /^X\/\(\/\).*/{ + s//\1/ + q + } + s/.*/./; q'` - -# PATH needs CR, and LINENO needs CR and PATH. # Avoid depending upon Character Ranges. as_cr_letters='abcdefghijklmnopqrstuvwxyz' as_cr_LETTERS='ABCDEFGHIJKLMNOPQRSTUVWXYZ' @@ -1482,148 +2128,111 @@ as_cr_Letters=$as_cr_letters$as_cr_LETTERS as_cr_digits='0123456789' as_cr_alnum=$as_cr_Letters$as_cr_digits -# The user is always right. -if test "${PATH_SEPARATOR+set}" != set; then - echo "#! /bin/sh" >conf$$.sh - echo "exit 0" >>conf$$.sh - chmod +x conf$$.sh - if (PATH="/nonexistent;."; conf$$.sh) >/dev/null 2>&1; then - PATH_SEPARATOR=';' - else - PATH_SEPARATOR=: - fi - rm -f conf$$.sh -fi - - - as_lineno_1=$LINENO - as_lineno_2=$LINENO - as_lineno_3=`(expr $as_lineno_1 + 1) 2>/dev/null` - test "x$as_lineno_1" != "x$as_lineno_2" && - test "x$as_lineno_3" = "x$as_lineno_2" || { - # Find who we are. Look in the path if we contain no path at all - # relative or not. - case $0 in - *[\\/]* ) as_myself=$0 ;; - *) as_save_IFS=$IFS; IFS=$PATH_SEPARATOR -for as_dir in $PATH -do - IFS=$as_save_IFS - test -z "$as_dir" && as_dir=. - test -r "$as_dir/$0" && as_myself=$as_dir/$0 && break -done - - ;; - esac - # We did not find ourselves, most probably we were run as `sh COMMAND' - # in which case we are not to be found in the path. - if test "x$as_myself" = x; then - as_myself=$0 - fi - if test ! -f "$as_myself"; then - { { echo "$as_me:$LINENO: error: cannot find myself; rerun with an absolute path" >&5 -echo "$as_me: error: cannot find myself; rerun with an absolute path" >&2;} - { (exit 1); exit 1; }; } - fi - case $CONFIG_SHELL in - '') - as_save_IFS=$IFS; IFS=$PATH_SEPARATOR -for as_dir in /bin$PATH_SEPARATOR/usr/bin$PATH_SEPARATOR$PATH -do - IFS=$as_save_IFS - test -z "$as_dir" && as_dir=. - for as_base in sh bash ksh sh5; do - case $as_dir in - /*) - if ("$as_dir/$as_base" -c ' - as_lineno_1=$LINENO - as_lineno_2=$LINENO - as_lineno_3=`(expr $as_lineno_1 + 1) 2>/dev/null` - test "x$as_lineno_1" != "x$as_lineno_2" && - test "x$as_lineno_3" = "x$as_lineno_2" ') 2>/dev/null; then - $as_unset BASH_ENV || test "${BASH_ENV+set}" != set || { BASH_ENV=; export BASH_ENV; } - $as_unset ENV || test "${ENV+set}" != set || { ENV=; export ENV; } - CONFIG_SHELL=$as_dir/$as_base - export CONFIG_SHELL - exec "$CONFIG_SHELL" "$0" ${1+"$@"} - fi;; - esac - done -done -;; - esac - - # Create $as_me.lineno as a copy of $as_myself, but with $LINENO - # uniformly replaced by the line number. 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McMahon for sed's syntax. :-) - sed '=' <$as_myself | - sed ' - N - s,$,-, - : loop - s,^\(['$as_cr_digits']*\)\(.*\)[$]LINENO\([^'$as_cr_alnum'_]\),\1\2\1\3, - t loop - s,-$,, - s,^['$as_cr_digits']*\n,, - ' >$as_me.lineno && - chmod +x $as_me.lineno || - { { echo "$as_me:$LINENO: error: cannot create $as_me.lineno; rerun with a POSIX shell" >&5 -echo "$as_me: error: cannot create $as_me.lineno; rerun with a POSIX shell" >&2;} - { (exit 1); exit 1; }; } - - # Don't try to exec as it changes $[0], causing all sort of problems - # (the dirname of $[0] is not the place where we might find the - # original and so on. 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"cannot create directory $as_dir" + + +} # as_fn_mkdir_p if mkdir -p . 2>/dev/null; then - as_mkdir_p=: + as_mkdir_p='mkdir -p "$as_dir"' else test -d ./-p && rmdir ./-p as_mkdir_p=false fi -as_executable_p="test -f" + +# as_fn_executable_p FILE +# ----------------------- +# Test if FILE is an executable regular file. +as_fn_executable_p () +{ + test -f "$1" && test -x "$1" +} # as_fn_executable_p +as_test_x='test -x' +as_executable_p=as_fn_executable_p # Sed expression to map a string onto a valid CPP name. as_tr_cpp="eval sed 'y%*$as_cr_letters%P$as_cr_LETTERS%;s%[^_$as_cr_alnum]%_%g'" @@ -1632,31 +2241,20 @@ as_tr_cpp="eval sed 'y%*$as_cr_letters%P$as_cr_LETTERS%;s%[^_$as_cr_alnum]%_%g'" as_tr_sh="eval sed 'y%*+%pp%;s%[^_$as_cr_alnum]%_%g'" -# IFS -# We need space, tab and new line, in precisely that order. -as_nl=' -' -IFS=" $as_nl" - -# CDPATH. -$as_unset CDPATH - exec 6>&1 - -# Open the log real soon, to keep \$[0] and so on meaningful, and to +## ----------------------------------- ## +## Main body of $CONFIG_STATUS script. ## +## ----------------------------------- ## +_ASEOF +test $as_write_fail = 0 && chmod +x $CONFIG_STATUS || ac_write_fail=1 + +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +# Save the log message, to keep $0 and so on meaningful, and to # report actual input values of CONFIG_FILES etc. instead of their -# values after options handling. Logging --version etc. is OK. -exec 5>>config.log -{ - echo - sed 'h;s/./-/g;s/^.../## /;s/...$/ ##/;p;x;p;x' <<_ASBOX -## Running $as_me. ## -_ASBOX -} >&5 -cat >&5 <<_CSEOF - +# values after options handling. +ac_log=" This file was extended by $as_me, which was -generated by GNU Autoconf 2.59. Invocation command line was +generated by GNU Autoconf 2.69. Invocation command line was CONFIG_FILES = $CONFIG_FILES CONFIG_HEADERS = $CONFIG_HEADERS @@ -1664,124 +2262,116 @@ generated by GNU Autoconf 2.59. Invocation command line was CONFIG_COMMANDS = $CONFIG_COMMANDS $ $0 $@ -_CSEOF -echo "on `(hostname || uname -n) 2>/dev/null | sed 1q`" >&5 -echo >&5 +on `(hostname || uname -n) 2>/dev/null | sed 1q` +" + _ACEOF -# Files that config.status was made for. -if test -n "$ac_config_files"; then - echo "config_files=\"$ac_config_files\"" >>$CONFIG_STATUS -fi +case $ac_config_files in *" +"*) set x $ac_config_files; shift; ac_config_files=$*;; +esac -if test -n "$ac_config_headers"; then - echo "config_headers=\"$ac_config_headers\"" >>$CONFIG_STATUS -fi -if test -n "$ac_config_links"; then - echo "config_links=\"$ac_config_links\"" >>$CONFIG_STATUS -fi -if test -n "$ac_config_commands"; then - echo "config_commands=\"$ac_config_commands\"" >>$CONFIG_STATUS -fi +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 +# Files that config.status was made for. +config_files="$ac_config_files" -cat >>$CONFIG_STATUS <<\_ACEOF +_ACEOF +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 ac_cs_usage="\ -\`$as_me' instantiates files from templates according to the -current configuration. +\`$as_me' instantiates files and other configuration actions +from templates according to the current configuration. Unless the files +and actions are specified as TAGs, all are instantiated by default. -Usage: $0 [OPTIONS] [FILE]... +Usage: $0 [OPTION]... [TAG]... -h, --help print this help, then exit - -V, --version print version number, then exit - -q, --quiet do not print progress messages + -V, --version print version number and configuration settings, then exit + --config print configuration, then exit + -q, --quiet, --silent + do not print progress messages -d, --debug don't remove temporary files --recheck update $as_me by reconfiguring in the same conditions - --file=FILE[:TEMPLATE] - instantiate the configuration file FILE + --file=FILE[:TEMPLATE] + instantiate the configuration file FILE Configuration files: $config_files -Report bugs to ." -_ACEOF +Report bugs to the package provider." -cat >>$CONFIG_STATUS <<_ACEOF +_ACEOF +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 +ac_cs_config="`$as_echo "$ac_configure_args" | sed 's/^ //; s/[\\""\`\$]/\\\\&/g'`" ac_cs_version="\\ config.status -configured by $0, generated by GNU Autoconf 2.59, - with options \\"`echo "$ac_configure_args" | sed 's/[\\""\`\$]/\\\\&/g'`\\" +configured by $0, generated by GNU Autoconf 2.69, + with options \\"\$ac_cs_config\\" -Copyright (C) 2003 Free Software Foundation, Inc. +Copyright (C) 2012 Free Software Foundation, Inc. This config.status script is free software; the Free Software Foundation gives unlimited permission to copy, distribute and modify it." -srcdir=$srcdir + +ac_pwd='$ac_pwd' +srcdir='$srcdir' +test -n "\$AWK" || AWK=awk _ACEOF -cat >>$CONFIG_STATUS <<\_ACEOF -# If no file are specified by the user, then we need to provide default -# value. By we need to know if files were specified by the user. +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +# The default lists apply if the user does not specify any file. ac_need_defaults=: while test $# != 0 do case $1 in - --*=*) - ac_option=`expr "x$1" : 'x\([^=]*\)='` - ac_optarg=`expr "x$1" : 'x[^=]*=\(.*\)'` + --*=?*) + ac_option=`expr "X$1" : 'X\([^=]*\)='` + ac_optarg=`expr "X$1" : 'X[^=]*=\(.*\)'` ac_shift=: ;; - -*) + --*=) + ac_option=`expr "X$1" : 'X\([^=]*\)='` + ac_optarg= + ac_shift=: + ;; + *) ac_option=$1 ac_optarg=$2 ac_shift=shift ;; - *) # This is not an option, so the user has probably given explicit - # arguments. - ac_option=$1 - ac_need_defaults=false;; esac case $ac_option in # Handling of the options. -_ACEOF -cat >>$CONFIG_STATUS <<\_ACEOF -recheck | --recheck | --rechec | --reche | --rech | --rec | --re | --r) ac_cs_recheck=: ;; - --version | --vers* | -V ) - echo "$ac_cs_version"; exit 0 ;; - --he | --h) - # Conflict between --help and --header - { { echo "$as_me:$LINENO: error: ambiguous option: $1 -Try \`$0 --help' for more information." >&5 -echo "$as_me: error: ambiguous option: $1 -Try \`$0 --help' for more information." >&2;} - { (exit 1); exit 1; }; };; - --help | --hel | -h ) - echo "$ac_cs_usage"; exit 0 ;; - --debug | --d* | -d ) + --version | --versio | --versi | --vers | --ver | --ve | --v | -V ) + $as_echo "$ac_cs_version"; exit ;; + --config | --confi | --conf | --con | --co | --c ) + $as_echo "$ac_cs_config"; exit ;; + --debug | --debu | --deb | --de | --d | -d ) debug=: ;; --file | --fil | --fi | --f ) $ac_shift - CONFIG_FILES="$CONFIG_FILES $ac_optarg" - ac_need_defaults=false;; - --header | --heade | --head | --hea ) - $ac_shift - CONFIG_HEADERS="$CONFIG_HEADERS $ac_optarg" + case $ac_optarg in + *\'*) ac_optarg=`$as_echo "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"` ;; + '') as_fn_error $? "missing file argument" ;; + esac + as_fn_append CONFIG_FILES " '$ac_optarg'" ac_need_defaults=false;; + --he | --h | --help | --hel | -h ) + $as_echo "$ac_cs_usage"; exit ;; -q | -quiet | --quiet | --quie | --qui | --qu | --q \ | -silent | --silent | --silen | --sile | --sil | --si | --s) ac_cs_silent=: ;; # This is an error. - -*) { { echo "$as_me:$LINENO: error: unrecognized option: $1 -Try \`$0 --help' for more information." >&5 -echo "$as_me: error: unrecognized option: $1 -Try \`$0 --help' for more information." >&2;} - { (exit 1); exit 1; }; } ;; + -*) as_fn_error $? "unrecognized option: \`$1' +Try \`$0 --help' for more information." ;; - *) ac_config_targets="$ac_config_targets $1" ;; + *) as_fn_append ac_config_targets " $1" + ac_need_defaults=false ;; esac shift @@ -1795,31 +2385,45 @@ if $ac_cs_silent; then fi _ACEOF -cat >>$CONFIG_STATUS <<_ACEOF +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 if \$ac_cs_recheck; then - echo "running $SHELL $0 " $ac_configure_args \$ac_configure_extra_args " --no-create --no-recursion" >&6 - exec $SHELL $0 $ac_configure_args \$ac_configure_extra_args --no-create --no-recursion + set X $SHELL '$0' $ac_configure_args \$ac_configure_extra_args --no-create --no-recursion + shift + \$as_echo "running CONFIG_SHELL=$SHELL \$*" >&6 + CONFIG_SHELL='$SHELL' + export CONFIG_SHELL + exec "\$@" fi _ACEOF +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +exec 5>>config.log +{ + echo + sed 'h;s/./-/g;s/^.../## /;s/...$/ ##/;p;x;p;x' <<_ASBOX +## Running $as_me. ## +_ASBOX + $as_echo "$ac_log" +} >&5 +_ACEOF +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 +_ACEOF +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 - - -cat >>$CONFIG_STATUS <<\_ACEOF +# Handling of arguments. for ac_config_target in $ac_config_targets do - case "$ac_config_target" in - # Handling of arguments. - "Makefile" ) CONFIG_FILES="$CONFIG_FILES Makefile" ;; - "tcl.hpj" ) CONFIG_FILES="$CONFIG_FILES tcl.hpj" ;; - *) { { echo "$as_me:$LINENO: error: invalid argument: $ac_config_target" >&5 -echo "$as_me: error: invalid argument: $ac_config_target" >&2;} - { (exit 1); exit 1; }; };; + case $ac_config_target in + "Makefile") CONFIG_FILES="$CONFIG_FILES Makefile" ;; + "tcl.hpj") CONFIG_FILES="$CONFIG_FILES tcl.hpj" ;; + + *) as_fn_error $? "invalid argument: \`$ac_config_target'" "$LINENO" 5;; esac done + # If the user did not use the arguments to specify the items to instantiate, # then the envvar interface is used. Set only those that are not. # We use the long form for the default assignment because of an extremely @@ -1829,323 +2433,414 @@ if $ac_need_defaults; then fi # Have a temporary directory for convenience. Make it in the build tree -# simply because there is no reason to put it here, and in addition, +# simply because there is no reason against having it here, and in addition, # creating and moving files from /tmp can sometimes cause problems. -# Create a temporary directory, and hook for its removal unless debugging. +# Hook for its removal unless debugging. +# Note that there is a small window in which the directory will not be cleaned: +# after its creation but before its name has been assigned to `$tmp'. $debug || { - trap 'exit_status=$?; rm -rf $tmp && exit $exit_status' 0 - trap '{ (exit 1); exit 1; }' 1 2 13 15 + tmp= ac_tmp= + trap 'exit_status=$? + : "${ac_tmp:=$tmp}" + { test ! -d "$ac_tmp" || rm -fr "$ac_tmp"; } && exit $exit_status +' 0 + trap 'as_fn_exit 1' 1 2 13 15 } - # Create a (secure) tmp directory for tmp files. { - tmp=`(umask 077 && mktemp -d -q "./confstatXXXXXX") 2>/dev/null` && - test -n "$tmp" && test -d "$tmp" + tmp=`(umask 077 && mktemp -d "./confXXXXXX") 2>/dev/null` && + test -d "$tmp" } || { - tmp=./confstat$$-$RANDOM - (umask 077 && mkdir $tmp) -} || + tmp=./conf$$-$RANDOM + (umask 077 && mkdir "$tmp") +} || as_fn_error $? "cannot create a temporary directory in ." "$LINENO" 5 +ac_tmp=$tmp + +# Set up the scripts for CONFIG_FILES section. +# No need to generate them if there are no CONFIG_FILES. +# This happens for instance with `./config.status config.h'. +if test -n "$CONFIG_FILES"; then + + +ac_cr=`echo X | tr X '\015'` +# On cygwin, bash can eat \r inside `` if the user requested igncr. +# But we know of no other shell where ac_cr would be empty at this +# point, so we can use a bashism as a fallback. +if test "x$ac_cr" = x; then + eval ac_cr=\$\'\\r\' +fi +ac_cs_awk_cr=`$AWK 'BEGIN { print "a\rb" }' /dev/null` +if test "$ac_cs_awk_cr" = "a${ac_cr}b"; then + ac_cs_awk_cr='\\r' +else + ac_cs_awk_cr=$ac_cr +fi + +echo 'BEGIN {' >"$ac_tmp/subs1.awk" && +_ACEOF + + { - echo "$me: cannot create a temporary directory in ." >&2 - { (exit 1); exit 1; } + echo "cat >conf$$subs.awk <<_ACEOF" && + echo "$ac_subst_vars" | sed 's/.*/&!$&$ac_delim/' && + echo "_ACEOF" +} >conf$$subs.sh || + as_fn_error $? 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"could not create $ac_file" "$LINENO" 5 + +test -z "$ac_datarootdir_hack$ac_datarootdir_seen" && + { ac_out=`sed -n '/\${datarootdir}/p' "$ac_tmp/out"`; test -n "$ac_out"; } && + { ac_out=`sed -n '/^[ ]*datarootdir[ ]*:*=/p' \ + "$ac_tmp/out"`; test -z "$ac_out"; } && + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: $ac_file contains a reference to the variable \`datarootdir' +which seems to be undefined. Please make sure it is defined" >&5 +$as_echo "$as_me: WARNING: $ac_file contains a reference to the variable \`datarootdir' +which seems to be undefined. Please make sure it is defined" >&2;} + + rm -f "$ac_tmp/stdin" + case $ac_file in + -) cat "$ac_tmp/out" && rm -f "$ac_tmp/out";; + *) rm -f "$ac_file" && mv "$ac_tmp/out" "$ac_file";; + esac \ + || as_fn_error $? "could not create $ac_file" "$LINENO" 5 + ;; -done -_ACEOF -cat >>$CONFIG_STATUS <<\_ACEOF -{ (exit 0); exit 0; } + esac + +done # for ac_tag + + +as_fn_exit 0 _ACEOF -chmod +x $CONFIG_STATUS ac_clean_files=$ac_clean_files_save +test $ac_write_fail = 0 || + as_fn_error $? "write failure creating $CONFIG_STATUS" "$LINENO" 5 + # configure is writing to config.log, and then calls config.status. # config.status does its own redirection, appending to config.log. @@ -2165,6 +2860,10 @@ if test "$no_create" != yes; then exec 5>>config.log # Use ||, not &&, to avoid exiting from the if with $? = 1, which # would make configure fail if this is the last instruction. - $ac_cs_success || { (exit 1); exit 1; } + $ac_cs_success || as_fn_exit 1 +fi +if test -n "$ac_unrecognized_opts" && test "$enable_option_checking" != no; then + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: unrecognized options: $ac_unrecognized_opts" >&5 +$as_echo "$as_me: WARNING: unrecognized options: $ac_unrecognized_opts" >&2;} fi diff --git a/tools/configure.ac b/tools/configure.ac new file mode 100644 index 0000000..3caa141 --- /dev/null +++ b/tools/configure.ac @@ -0,0 +1,35 @@ +dnl This file is an input file used by the GNU "autoconf" program to +dnl generate the file "configure", which is run to configure the +dnl Makefile in this directory. +AC_INIT(man2tcl.c) +AC_PREREQ(2.69) + +# Recover information that Tcl computed with its configure script. + +#-------------------------------------------------------------------- +# See if there was a command-line option for where Tcl is; if +# not, assume that its top-level directory is a sibling of ours. +#-------------------------------------------------------------------- + +DEF_VER=8.7 + +AC_ARG_WITH(tcl, [ --with-tcl=DIR use Tcl $DEF_VER binaries from DIR], TCL_BIN_DIR=$withval, TCL_BIN_DIR=`cd ../../tcl$DEF_VER$TCL_PATCH_LEVEL/unix; pwd`) +if test ! -d $TCL_BIN_DIR; then + AC_MSG_ERROR(Tcl directory $TCL_BIN_DIR doesn't exist) +fi +if test ! -f $TCL_BIN_DIR/tclConfig.sh; then + AC_MSG_ERROR(There's no tclConfig.sh in $TCL_BIN_DIR; perhaps you didn't specify the Tcl *build* directory (not the toplevel Tcl directory) or you forgot to configure Tcl?) +fi + +. $TCL_BIN_DIR/tclConfig.sh + +TCL_WIN_VERSION=$TCL_MAJOR_VERSION$TCL_MINOR_VERSION +AC_SUBST(TCL_WIN_VERSION) +CC=$TCL_CC +AC_SUBST(CC) +AC_SUBST(TCL_VERSION) +AC_SUBST(TCL_PATCH_LEVEL) +AC_SUBST(TCL_SRC_DIR) +AC_SUBST(TCL_BIN_DIR) + +AC_OUTPUT(Makefile tcl.hpj) diff --git a/tools/configure.in b/tools/configure.in deleted file mode 100644 index 6aebcaa..0000000 --- a/tools/configure.in +++ /dev/null @@ -1,35 +0,0 @@ -dnl This file is an input file used by the GNU "autoconf" program to -dnl generate the file "configure", which is run to configure the -dnl Makefile in this directory. -AC_INIT(man2tcl.c) -AC_PREREQ(2.59) - -# Recover information that Tcl computed with its configure script. - -#-------------------------------------------------------------------- -# See if there was a command-line option for where Tcl is; if -# not, assume that its top-level directory is a sibling of ours. -#-------------------------------------------------------------------- - -DEF_VER=8.6 - -AC_ARG_WITH(tcl, [ --with-tcl=DIR use Tcl $DEF_VER binaries from DIR], TCL_BIN_DIR=$withval, TCL_BIN_DIR=`cd ../../tcl$DEF_VER$TCL_PATCH_LEVEL/unix; pwd`) -if test ! -d $TCL_BIN_DIR; then - AC_MSG_ERROR(Tcl directory $TCL_BIN_DIR doesn't exist) -fi -if test ! -f $TCL_BIN_DIR/tclConfig.sh; then - AC_MSG_ERROR(There's no tclConfig.sh in $TCL_BIN_DIR; perhaps you didn't specify the Tcl *build* directory (not the toplevel Tcl directory) or you forgot to configure Tcl?) -fi - -. $TCL_BIN_DIR/tclConfig.sh - -TCL_WIN_VERSION=$TCL_MAJOR_VERSION$TCL_MINOR_VERSION -AC_SUBST(TCL_WIN_VERSION) -CC=$TCL_CC -AC_SUBST(CC) -AC_SUBST(TCL_VERSION) -AC_SUBST(TCL_PATCH_LEVEL) -AC_SUBST(TCL_SRC_DIR) -AC_SUBST(TCL_BIN_DIR) - -AC_OUTPUT(Makefile tcl.hpj) diff --git a/tools/tcltk-man2html.tcl b/tools/tcltk-man2html.tcl index 1ceceb9..6d899a0 100755 --- a/tools/tcltk-man2html.tcl +++ b/tools/tcltk-man2html.tcl @@ -667,11 +667,7 @@ try { # ... but try to extract (name, version) from subdir contents try { - try { - set f [open [file join $pkgsDir $dir configure.in]] - } trap {POSIX ENOENT} {} { - set f [open [file join $pkgsDir $dir configure.ac]] - } + set f [open [file join $pkgsDir $dir configure.ac]] foreach line [split [read $f] \n] { if {2 == [scan $line \ { AC_INIT ( [%[^]]] , [%[^]]] ) } n v]} { diff --git a/unix/Makefile.in b/unix/Makefile.in index bc73118..570bce0 100644 --- a/unix/Makefile.in +++ b/unix/Makefile.in @@ -171,7 +171,7 @@ TCLTEST_EXE = tcltest${EXE_SUFFIX} NATIVE_TCLSH = @TCLSH_PROG@ # The symbols below provide support for dynamic loading and shared libraries. -# See configure.in for a description of what the symbols mean. The values of +# See configure.ac for a description of what the symbols mean. The values of # the symbols are normally set by the configure script. You shouldn't normally # need to modify any of these definitions by hand. @@ -1711,7 +1711,7 @@ tclOOStubLib.o: $(GENERIC_DIR)/tclOOStubLib.c # Propagate configure args like --enable-64bit to package configure PKG_CFG_ARGS = @PKG_CFG_ARGS@ # If PKG_DIR is changed to a different relative depth to the build dir, need -# to adapt the ../.. relative paths below and at the top of configure.in (we +# to adapt the ../.. relative paths below and at the top of configure.ac (we # cannot use absolute paths due to issues in nested configure when path to # build dir contains spaces). PKG_DIR = ./pkgs @@ -1944,7 +1944,7 @@ DISTROOT = /tmp/dist DISTNAME = tcl${VERSION}${PATCH_LEVEL} ZIPNAME = tcl${MAJOR_VERSION}${MINOR_VERSION}${PATCH_LEVEL}-src.zip DISTDIR = $(DISTROOT)/$(DISTNAME) -$(UNIX_DIR)/configure: $(UNIX_DIR)/configure.in $(UNIX_DIR)/tcl.m4 \ +$(UNIX_DIR)/configure: $(UNIX_DIR)/configure.ac $(UNIX_DIR)/tcl.m4 \ $(UNIX_DIR)/aclocal.m4 cd $(UNIX_DIR); autoconf $(MAC_OSX_DIR)/configure: $(MAC_OSX_DIR)/configure.ac $(UNIX_DIR)/configure @@ -1958,14 +1958,14 @@ dist: $(UNIX_DIR)/configure $(UNIX_DIR)/tclConfig.h.in $(UNIX_DIR)/tcl.pc.in $(M cp -p $(UNIX_DIR)/*.[ch] $(DISTDIR)/unix cp $(UNIX_DIR)/Makefile.in $(DISTDIR)/unix chmod 664 $(DISTDIR)/unix/Makefile.in - cp $(UNIX_DIR)/configure $(UNIX_DIR)/configure.in \ + cp $(UNIX_DIR)/configure $(UNIX_DIR)/configure.ac \ $(UNIX_DIR)/tcl.m4 $(UNIX_DIR)/aclocal.m4 \ $(UNIX_DIR)/tclConfig.sh.in $(UNIX_DIR)/tclooConfig.sh \ $(UNIX_DIR)/install-sh \ $(UNIX_DIR)/README $(UNIX_DIR)/ldAix $(UNIX_DIR)/tcl.spec \ $(UNIX_DIR)/installManPage $(UNIX_DIR)/tclConfig.h.in \ $(UNIX_DIR)/tcl.pc.in $(DISTDIR)/unix - chmod 775 $(DISTDIR)/unix/configure $(DISTDIR)/unix/configure.in + chmod 775 $(DISTDIR)/unix/configure $(DISTDIR)/unix/configure.ac chmod 775 $(DISTDIR)/unix/ldAix @mkdir $(DISTDIR)/generic cp -p $(GENERIC_DIR)/*.[cdh] $(DISTDIR)/generic @@ -2010,7 +2010,7 @@ dist: $(UNIX_DIR)/configure $(UNIX_DIR)/tclConfig.h.in $(UNIX_DIR)/tcl.pc.in $(M $(DISTDIR)/tests @mkdir $(DISTDIR)/win cp $(TOP_DIR)/win/Makefile.in $(DISTDIR)/win - cp $(TOP_DIR)/win/configure.in $(TOP_DIR)/win/configure \ + cp $(TOP_DIR)/win/configure.ac $(TOP_DIR)/win/configure \ $(TOP_DIR)/win/tclConfig.sh.in $(TOP_DIR)/win/tclooConfig.sh \ $(TOP_DIR)/win/tcl.m4 $(TOP_DIR)/win/aclocal.m4 \ $(TOP_DIR)/win/tclsh.exe.manifest.in \ @@ -2044,7 +2044,7 @@ dist: $(UNIX_DIR)/configure $(UNIX_DIR)/tclConfig.h.in $(UNIX_DIR)/tcl.pc.in $(M $(UNIX_DIR)/dltest/README $(DISTDIR)/unix/dltest @mkdir $(DISTDIR)/tools cp -p $(TOOL_DIR)/Makefile.in $(TOOL_DIR)/README \ - $(TOOL_DIR)/configure $(TOOL_DIR)/configure.in \ + $(TOOL_DIR)/configure $(TOOL_DIR)/configure.ac \ $(TOOL_DIR)/*.tcl $(TOOL_DIR)/man2tcl.c \ $(TOOL_DIR)/*.bmp $(TOOL_DIR)/tcl.hpj.in \ $(DISTDIR)/tools diff --git a/unix/configure.ac b/unix/configure.ac new file mode 100644 index 0000000..41a1f62 --- /dev/null +++ b/unix/configure.ac @@ -0,0 +1,998 @@ +#! /bin/bash -norc +dnl This file is an input file used by the GNU "autoconf" program to +dnl generate the file "configure", which is run during Tcl installation +dnl to configure the system for the local environment. + +AC_INIT([tcl],[8.7]) +AC_PREREQ(2.69) + +dnl This is only used when included from macosx/configure.ac +m4_ifdef([SC_USE_CONFIG_HEADERS], [ + AC_CONFIG_HEADERS([tclConfig.h:../unix/tclConfig.h.in]) + AC_CONFIG_COMMANDS_PRE([DEFS="-DHAVE_TCL_CONFIG_H -imacros tclConfig.h"]) + AH_TOP([ + #ifndef _TCLCONFIG + #define _TCLCONFIG]) + AH_BOTTOM([ + /* Undef unused package specific autoheader defines so that we can + * include both tclConfig.h and tkConfig.h at the same time: */ + /* override */ #undef PACKAGE_NAME + /* override */ #undef PACKAGE_STRING + /* override */ #undef PACKAGE_TARNAME + #endif /* _TCLCONFIG */]) +]) + +TCL_VERSION=8.7 +TCL_MAJOR_VERSION=8 +TCL_MINOR_VERSION=7 +TCL_PATCH_LEVEL="a0" +VERSION=${TCL_VERSION} + +EXTRA_INSTALL_BINARIES=${EXTRA_INSTALL_BINARIES:-"@:"} +EXTRA_BUILD_HTML=${EXTRA_BUILD_HTML:-"@:"} + +#------------------------------------------------------------------------ +# Setup configure arguments for bundled packages +#------------------------------------------------------------------------ + +PKG_CFG_ARGS="$ac_configure_args ${PKG_CFG_ARGS}" + +if test -r "$cache_file" -a -f "$cache_file"; then + case $cache_file in + [[\\/]]* | ?:[[\\/]]* ) pkg_cache_file=$cache_file ;; + *) pkg_cache_file=../../$cache_file ;; + esac + PKG_CFG_ARGS="${PKG_CFG_ARGS} --cache-file=$pkg_cache_file" +fi + +#------------------------------------------------------------------------ +# Empty slate for bundled packages, to avoid stale configuration +#------------------------------------------------------------------------ +#rm -Rf pkgs +if test -f Makefile; then + make distclean-packages +fi + +#------------------------------------------------------------------------ +# Handle the --prefix=... option +#------------------------------------------------------------------------ + +if test "${prefix}" = "NONE"; then + prefix=/usr/local +fi +if test "${exec_prefix}" = "NONE"; then + exec_prefix=$prefix +fi +# Make sure srcdir is fully qualified! +srcdir="`cd "$srcdir" ; pwd`" +TCL_SRC_DIR="`cd "$srcdir"/..; pwd`" + +#------------------------------------------------------------------------ +# Compress and/or soft link the manpages? +#------------------------------------------------------------------------ + +SC_CONFIG_MANPAGES + +#------------------------------------------------------------------------ +# Standard compiler checks +#------------------------------------------------------------------------ + +# If the user did not set CFLAGS, set it now to keep +# the AC_PROG_CC macro from adding "-g -O2". +if test "${CFLAGS+set}" != "set" ; then + CFLAGS="" +fi + +AC_PROG_CC +AC_C_INLINE + +#-------------------------------------------------------------------- +# Supply substitutes for missing POSIX header files. Special notes: +# - stdlib.h doesn't define strtol, strtoul, or +# strtod insome versions of SunOS +# - some versions of string.h don't declare procedures such +# as strstr +# Do this early, otherwise an autoconf bug throws errors on configure +#-------------------------------------------------------------------- + +SC_MISSING_POSIX_HEADERS + +#-------------------------------------------------------------------- +# Determines the correct executable file extension (.exe) +#-------------------------------------------------------------------- + +AC_EXEEXT + +#------------------------------------------------------------------------ +# If we're using GCC, see if the compiler understands -pipe. If so, use it. +# It makes compiling go faster. (This is only a performance feature.) +#------------------------------------------------------------------------ + +if test -z "$no_pipe" && test -n "$GCC"; then + AC_CACHE_CHECK([if the compiler understands -pipe], + tcl_cv_cc_pipe, [ + hold_cflags=$CFLAGS; CFLAGS="$CFLAGS -pipe" + AC_TRY_COMPILE(,, tcl_cv_cc_pipe=yes, tcl_cv_cc_pipe=no) + CFLAGS=$hold_cflags]) + if test $tcl_cv_cc_pipe = yes; then + CFLAGS="$CFLAGS -pipe" + fi +fi + +#------------------------------------------------------------------------ +# Threads support +#------------------------------------------------------------------------ + +SC_ENABLE_THREADS + +#------------------------------------------------------------------------ +# Embedded configuration information, encoding to use for the values, TIP #59 +#------------------------------------------------------------------------ + +SC_TCL_CFG_ENCODING + +#-------------------------------------------------------------------- +# Look for libraries that we will need when compiling the Tcl shell +#-------------------------------------------------------------------- + +SC_TCL_LINK_LIBS + +# Add the threads support libraries +LIBS="$LIBS$THREADS_LIBS" + +SC_ENABLE_SHARED + +#-------------------------------------------------------------------- +# Look for a native installed tclsh binary (if available) +# If one cannot be found then use the binary we build (fails for +# cross compiling). This is used for NATIVE_TCLSH in Makefile. +#-------------------------------------------------------------------- + +SC_PROG_TCLSH +if test "$TCLSH_PROG" = ""; then + TCLSH_PROG='./${TCL_EXE}' +fi + +#------------------------------------------------------------------------ +# Add stuff for zlib +#------------------------------------------------------------------------ + +zlib_ok=yes +AC_CHECK_HEADER([zlib.h],[ + AC_CHECK_TYPE([gz_header],[],[zlib_ok=no],[#include ])],[ + zlib_ok=no]) +AS_IF([test $zlib_ok = yes], [ + AC_SEARCH_LIBS([deflateSetHeader],[z],[],[ + zlib_ok=no + ])]) +AS_IF([test $zlib_ok = no], [ + AC_SUBST(ZLIB_OBJS,[\${ZLIB_OBJS}]) + AC_SUBST(ZLIB_SRCS,[\${ZLIB_SRCS}]) + AC_SUBST(ZLIB_INCLUDE,[-I\${ZLIB_DIR}]) +]) +AC_DEFINE(HAVE_ZLIB, 1, [Is there an installed zlib?]) + +#-------------------------------------------------------------------- +# The statements below define a collection of compile flags. This +# macro depends on the value of SHARED_BUILD, and should be called +# after SC_ENABLE_SHARED checks the configure switches. +#-------------------------------------------------------------------- + +SC_CONFIG_CFLAGS + +SC_ENABLE_SYMBOLS(bccdebug) + +AC_DEFINE(TCL_TOMMATH, 1, [Build libtommath?]) +AC_DEFINE(MP_PREC, 4, [Default libtommath precision.]) + +#-------------------------------------------------------------------- +# Detect what compiler flags to set for 64-bit support. +#-------------------------------------------------------------------- + +SC_TCL_EARLY_FLAGS + +SC_TCL_64BIT_FLAGS + +#-------------------------------------------------------------------- +# Check endianness because we can optimize comparisons of +# Tcl_UniChar strings to memcmp on big-endian systems. +#-------------------------------------------------------------------- + +AC_C_BIGENDIAN + +#-------------------------------------------------------------------- +# Supply substitutes for missing POSIX library procedures, or +# set flags so Tcl uses alternate procedures. +#-------------------------------------------------------------------- + +# Check if Posix compliant getcwd exists, if not we'll use getwd. +AC_CHECK_FUNCS(getcwd, , [AC_DEFINE(USEGETWD, 1, [Is getcwd Posix-compliant?])]) +# Nb: if getcwd uses popen and pwd(1) (like SunOS 4) we should really +# define USEGETWD even if the posix getcwd exists. Add a test ? + +AC_REPLACE_FUNCS(mkstemp opendir strtol waitpid) +AC_CHECK_FUNC(strerror, , [AC_DEFINE(NO_STRERROR, 1, [Do we have strerror()])]) +AC_CHECK_FUNC(getwd, , [AC_DEFINE(NO_GETWD, 1, [Do we have getwd()])]) +AC_CHECK_FUNC(wait3, , [AC_DEFINE(NO_WAIT3, 1, [Do we have wait3()])]) +AC_CHECK_FUNC(uname, , [AC_DEFINE(NO_UNAME, 1, [Do we have uname()])]) + +if test "`uname -s`" = "Darwin" && test "${TCL_THREADS}" = 1 && \ + test "`uname -r | awk -F. '{print [$]1}'`" -lt 7; then + # prior to Darwin 7, realpath is not threadsafe, so don't + # use it when threads are enabled, c.f. bug # 711232 + ac_cv_func_realpath=no +fi +AC_CHECK_FUNC(realpath, , [AC_DEFINE(NO_REALPATH, 1, [Do we have realpath()])]) + +SC_TCL_IPV6 + +#-------------------------------------------------------------------- +# Look for thread-safe variants of some library functions. +#-------------------------------------------------------------------- + +if test "${TCL_THREADS}" = 1; then + SC_TCL_GETPWUID_R + SC_TCL_GETPWNAM_R + SC_TCL_GETGRGID_R + SC_TCL_GETGRNAM_R + if test "`uname -s`" = "Darwin" && \ + test "`uname -r | awk -F. '{print [$]1}'`" -gt 5; then + # Starting with Darwin 6 (Mac OSX 10.2), gethostbyX + # are actually MT-safe as they always return pointers + # from TSD instead of static storage. + AC_DEFINE(HAVE_MTSAFE_GETHOSTBYNAME, 1, + [Do we have MT-safe gethostbyname() ?]) + AC_DEFINE(HAVE_MTSAFE_GETHOSTBYADDR, 1, + [Do we have MT-safe gethostbyaddr() ?]) + + elif test "`uname -s`" = "HP-UX" && \ + test "`uname -r|sed -e 's|B\.||' -e 's|\..*$||'`" -gt 10; then + # Starting with HPUX 11.00 (we believe), gethostbyX + # are actually MT-safe as they always return pointers + # from TSD instead of static storage. + AC_DEFINE(HAVE_MTSAFE_GETHOSTBYNAME, 1, + [Do we have MT-safe gethostbyname() ?]) + AC_DEFINE(HAVE_MTSAFE_GETHOSTBYADDR, 1, + [Do we have MT-safe gethostbyaddr() ?]) + + else + SC_TCL_GETHOSTBYNAME_R + SC_TCL_GETHOSTBYADDR_R + fi +fi + +#--------------------------------------------------------------------------- +# Check for serial port interface. +# +# termios.h is present on all POSIX systems. +# sys/ioctl.h is almost always present, though what it contains +# is system-specific. +# sys/modem.h is needed on HP-UX. +#--------------------------------------------------------------------------- + +AC_CHECK_HEADERS(termios.h) +AC_CHECK_HEADERS(sys/ioctl.h) +AC_CHECK_HEADERS(sys/modem.h) + +#-------------------------------------------------------------------- +# Include sys/select.h if it exists and if it supplies things +# that appear to be useful and aren't already in sys/types.h. +# This appears to be true only on the RS/6000 under AIX. Some +# systems like OSF/1 have a sys/select.h that's of no use, and +# other systems like SCO UNIX have a sys/select.h that's +# pernicious. If "fd_set" isn't defined anywhere then set a +# special flag. +#-------------------------------------------------------------------- + +AC_CACHE_CHECK([for fd_set in sys/types], tcl_cv_type_fd_set, [ + AC_TRY_COMPILE([#include ],[fd_set readMask, writeMask;], + tcl_cv_type_fd_set=yes, tcl_cv_type_fd_set=no)]) +tcl_ok=$tcl_cv_type_fd_set +if test $tcl_ok = no; then + AC_CACHE_CHECK([for fd_mask in sys/select], tcl_cv_grep_fd_mask, [ + AC_EGREP_HEADER(fd_mask, sys/select.h, + tcl_cv_grep_fd_mask=present, tcl_cv_grep_fd_mask=missing)]) + if test $tcl_cv_grep_fd_mask = present; then + AC_DEFINE(HAVE_SYS_SELECT_H, 1, [Should we include ?]) + tcl_ok=yes + fi +fi +if test $tcl_ok = no; then + AC_DEFINE(NO_FD_SET, 1, [Do we have fd_set?]) +fi + +#------------------------------------------------------------------------------ +# Find out all about time handling differences. +#------------------------------------------------------------------------------ + +SC_TIME_HANDLER + +#-------------------------------------------------------------------- +# Some systems (e.g., IRIX 4.0.5) lack some fields in struct stat. But +# we might be able to use fstatfs instead. Some systems (OpenBSD?) also +# lack blkcnt_t. +#-------------------------------------------------------------------- + +if test "$ac_cv_cygwin" != "yes"; then + AC_CHECK_MEMBERS([struct stat.st_blocks, struct stat.st_blksize]) +fi +AC_CHECK_TYPES([blkcnt_t]) +AC_CHECK_FUNC(fstatfs, , [AC_DEFINE(NO_FSTATFS, 1, [Do we have fstatfs()?])]) + +#-------------------------------------------------------------------- +# Some system have no memcmp or it does not work with 8 bit data, this +# checks it and add memcmp.o to LIBOBJS if needed +#-------------------------------------------------------------------- + +AC_FUNC_MEMCMP + +#-------------------------------------------------------------------- +# Some system like SunOS 4 and other BSD like systems have no memmove +# (we assume they have bcopy instead). {The replacement define is in +# compat/string.h} +#-------------------------------------------------------------------- + +AC_CHECK_FUNC(memmove, , [ + AC_DEFINE(NO_MEMMOVE, 1, [Do we have memmove()?]) + AC_DEFINE(NO_STRING_H, 1, [Do we have ?]) ]) + +#-------------------------------------------------------------------- +# On some systems strstr is broken: it returns a pointer even even if +# the original string is empty. +#-------------------------------------------------------------------- + +SC_TCL_CHECK_BROKEN_FUNC(strstr, [ + extern int strstr(); + exit(strstr("\0test", "test") ? 1 : 0); +]) + +#-------------------------------------------------------------------- +# Check for strtoul function. This is tricky because under some +# versions of AIX strtoul returns an incorrect terminator +# pointer for the string "0". +#-------------------------------------------------------------------- + +SC_TCL_CHECK_BROKEN_FUNC(strtoul, [ + extern int strtoul(); + char *term, *string = "0"; + exit(strtoul(string,&term,0) != 0 || term != string+1); +]) + +#-------------------------------------------------------------------- +# Check for the strtod function. This is tricky because in some +# versions of Linux strtod mis-parses strings starting with "+". +#-------------------------------------------------------------------- + +SC_TCL_CHECK_BROKEN_FUNC(strtod, [ + extern double strtod(); + char *term, *string = " +69"; + exit(strtod(string,&term) != 69 || term != string+4); +]) + +#-------------------------------------------------------------------- +# Under Solaris 2.4, strtod returns the wrong value for the +# terminating character under some conditions. Check for this +# and if the problem exists use a substitute procedure +# "fixstrtod" that corrects the error. +#-------------------------------------------------------------------- + +SC_BUGGY_STRTOD + +#-------------------------------------------------------------------- +# Check for various typedefs and provide substitutes if +# they don't exist. +#-------------------------------------------------------------------- + +AC_TYPE_MODE_T +AC_TYPE_PID_T +AC_TYPE_SIZE_T +AC_TYPE_UID_T + +AC_CACHE_CHECK([for socklen_t], tcl_cv_type_socklen_t, [ + AC_TRY_COMPILE([ + #include + #include + ],[ + socklen_t foo; + ],[tcl_cv_type_socklen_t=yes],[tcl_cv_type_socklen_t=no])]) +if test $tcl_cv_type_socklen_t = no; then + AC_DEFINE(socklen_t, int, [Define as int if socklen_t is not available]) +fi + +AC_CHECK_TYPE([intptr_t], [ + AC_DEFINE([HAVE_INTPTR_T], 1, [Do we have the intptr_t type?])], [ + AC_CACHE_CHECK([for pointer-size signed integer type], tcl_cv_intptr_t, [ + for tcl_cv_intptr_t in "int" "long" "long long" none; do + if test "$tcl_cv_intptr_t" != none; then + AC_COMPILE_IFELSE([AC_LANG_BOOL_COMPILE_TRY([AC_INCLUDES_DEFAULT], + [[sizeof (void *) <= sizeof ($tcl_cv_intptr_t)]])], + [tcl_ok=yes], [tcl_ok=no]) + test "$tcl_ok" = yes && break; fi + done]) + if test "$tcl_cv_intptr_t" != none; then + AC_DEFINE_UNQUOTED([intptr_t], [$tcl_cv_intptr_t], [Signed integer + type wide enough to hold a pointer.]) + fi +]) +AC_CHECK_TYPE([uintptr_t], [ + AC_DEFINE([HAVE_UINTPTR_T], 1, [Do we have the uintptr_t type?])], [ + AC_CACHE_CHECK([for pointer-size unsigned integer type], tcl_cv_uintptr_t, [ + for tcl_cv_uintptr_t in "unsigned int" "unsigned long" "unsigned long long" \ + none; do + if test "$tcl_cv_uintptr_t" != none; then + AC_COMPILE_IFELSE([AC_LANG_BOOL_COMPILE_TRY([AC_INCLUDES_DEFAULT], + [[sizeof (void *) <= sizeof ($tcl_cv_uintptr_t)]])], + [tcl_ok=yes], [tcl_ok=no]) + test "$tcl_ok" = yes && break; fi + done]) + if test "$tcl_cv_uintptr_t" != none; then + AC_DEFINE_UNQUOTED([uintptr_t], [$tcl_cv_uintptr_t], [Unsigned integer + type wide enough to hold a pointer.]) + fi +]) + +#-------------------------------------------------------------------- +# If a system doesn't have an opendir function (man, that's old!) +# then we have to supply a different version of dirent.h which +# is compatible with the substitute version of opendir that's +# provided. This version only works with V7-style directories. +#-------------------------------------------------------------------- + +AC_CHECK_FUNC(opendir, , [AC_DEFINE(USE_DIRENT2_H, 1, [May we include ?])]) + +#-------------------------------------------------------------------- +# The check below checks whether defines the type +# "union wait" correctly. It's needed because of weirdness in +# HP-UX where "union wait" is defined in both the BSD and SYS-V +# environments. Checking the usability of WIFEXITED seems to do +# the trick. +#-------------------------------------------------------------------- + +AC_CACHE_CHECK([union wait], tcl_cv_union_wait, [ + AC_TRY_LINK([#include +#include ], [ +union wait x; +WIFEXITED(x); /* Generates compiler error if WIFEXITED + * uses an int. */ + ], tcl_cv_union_wait=yes, tcl_cv_union_wait=no)]) +if test $tcl_cv_union_wait = no; then + AC_DEFINE(NO_UNION_WAIT, 1, [Do we have a usable 'union wait'?]) +fi + +#-------------------------------------------------------------------- +# Check whether there is an strncasecmp function on this system. +# This is a bit tricky because under SCO it's in -lsocket and +# under Sequent Dynix it's in -linet. +#-------------------------------------------------------------------- + +AC_CHECK_FUNC(strncasecmp, tcl_ok=1, tcl_ok=0) +if test "$tcl_ok" = 0; then + AC_CHECK_LIB(socket, strncasecmp, tcl_ok=1, tcl_ok=0) +fi +if test "$tcl_ok" = 0; then + AC_CHECK_LIB(inet, strncasecmp, tcl_ok=1, tcl_ok=0) +fi +if test "$tcl_ok" = 0; then + AC_LIBOBJ([strncasecmp]) + USE_COMPAT=1 +fi + +#-------------------------------------------------------------------- +# The code below deals with several issues related to gettimeofday: +# 1. Some systems don't provide a gettimeofday function at all +# (set NO_GETTOD if this is the case). +# 2. See if gettimeofday is declared in the header file. +# if not, set the GETTOD_NOT_DECLARED flag so that tclPort.h can +# declare it. +#-------------------------------------------------------------------- + +AC_CHECK_FUNC(gettimeofday,[],[ + AC_DEFINE(NO_GETTOD, 1, [Do we have gettimeofday()?]) +]) +AC_CACHE_CHECK([for gettimeofday declaration], tcl_cv_grep_gettimeofday, [ + AC_EGREP_HEADER(gettimeofday, sys/time.h, + tcl_cv_grep_gettimeofday=present, tcl_cv_grep_gettimeofday=missing)]) +if test $tcl_cv_grep_gettimeofday = missing ; then + AC_DEFINE(GETTOD_NOT_DECLARED, 1, [Is gettimeofday() actually declared in ?]) +fi + +#-------------------------------------------------------------------- +# The following code checks to see whether it is possible to get +# signed chars on this platform. This is needed in order to +# properly generate sign-extended ints from character values. +#-------------------------------------------------------------------- + +AC_C_CHAR_UNSIGNED +AC_CACHE_CHECK([signed char declarations], tcl_cv_char_signed, [ + AC_TRY_COMPILE(, [ + signed char *p; + p = 0; + ], tcl_cv_char_signed=yes, tcl_cv_char_signed=no)]) +if test $tcl_cv_char_signed = yes; then + AC_DEFINE(HAVE_SIGNED_CHAR, 1, [Are characters signed?]) +fi + +#-------------------------------------------------------------------- +# Does putenv() copy or not? We need to know to avoid memory leaks. +#-------------------------------------------------------------------- + +AC_CACHE_CHECK([for a putenv() that copies the buffer], tcl_cv_putenv_copy, [ + AC_TRY_RUN([ + #include + #define OURVAR "havecopy=yes" + int main (int argc, char *argv[]) + { + char *foo, *bar; + foo = (char *)strdup(OURVAR); + putenv(foo); + strcpy((char *)(strchr(foo, '=') + 1), "no"); + bar = getenv("havecopy"); + if (!strcmp(bar, "no")) { + /* doesnt copy */ + return 0; + } else { + /* does copy */ + return 1; + } + } + ], + tcl_cv_putenv_copy=no, + tcl_cv_putenv_copy=yes, + tcl_cv_putenv_copy=no)]) +if test $tcl_cv_putenv_copy = yes; then + AC_DEFINE(HAVE_PUTENV_THAT_COPIES, 1, + [Does putenv() copy strings or incorporate them by reference?]) +fi + +#-------------------------------------------------------------------- +# Check for support of nl_langinfo function +#-------------------------------------------------------------------- + +SC_ENABLE_LANGINFO + +#-------------------------------------------------------------------- +# Check for support of chflags and mkstemps functions +#-------------------------------------------------------------------- + +AC_CHECK_FUNCS(chflags mkstemps) + +#-------------------------------------------------------------------- +# Check for support of isnan() function or macro +#-------------------------------------------------------------------- + +AC_CACHE_CHECK([isnan], tcl_cv_isnan, [ + AC_TRY_LINK([#include ], [ +isnan(0.0); /* Generates an error if isnan is missing */ +], tcl_cv_isnan=yes, tcl_cv_isnan=no)]) +if test $tcl_cv_isnan = no; then + AC_DEFINE(NO_ISNAN, 1, [Do we have a usable 'isnan'?]) +fi + +#-------------------------------------------------------------------- +# Darwin specific API checks and defines +#-------------------------------------------------------------------- + +if test "`uname -s`" = "Darwin" ; then + AC_CHECK_FUNCS(getattrlist) + AC_CHECK_HEADERS(copyfile.h) + AC_CHECK_FUNCS(copyfile) + if test $tcl_corefoundation = yes; then + AC_CHECK_HEADERS(libkern/OSAtomic.h) + AC_CHECK_FUNCS(OSSpinLockLock) + fi + AC_DEFINE(USE_VFORK, 1, [Should we use vfork() instead of fork()?]) + AC_DEFINE(TCL_DEFAULT_ENCODING, "utf-8", + [Are we to override what our default encoding is?]) + AC_DEFINE(TCL_LOAD_FROM_MEMORY, 1, + [Can this platform load code from memory?]) + AC_DEFINE(TCL_WIDE_CLICKS, 1, + [Does this platform have wide high-resolution clicks?]) + AC_CHECK_HEADERS(AvailabilityMacros.h) + if test "$ac_cv_header_AvailabilityMacros_h" = yes; then + AC_CACHE_CHECK([if weak import is available], tcl_cv_cc_weak_import, [ + hold_cflags=$CFLAGS; CFLAGS="$CFLAGS -Werror" + AC_TRY_LINK([ + #ifdef __ENVIRONMENT_MAC_OS_X_VERSION_MIN_REQUIRED__ + #if __ENVIRONMENT_MAC_OS_X_VERSION_MIN_REQUIRED__ < 1020 + #error __ENVIRONMENT_MAC_OS_X_VERSION_MIN_REQUIRED__ < 1020 + #endif + #elif MAC_OS_X_VERSION_MIN_REQUIRED < 1020 + #error MAC_OS_X_VERSION_MIN_REQUIRED < 1020 + #endif + int rand(void) __attribute__((weak_import)); + ], [rand();], + tcl_cv_cc_weak_import=yes, tcl_cv_cc_weak_import=no) + CFLAGS=$hold_cflags]) + if test $tcl_cv_cc_weak_import = yes; then + AC_DEFINE(HAVE_WEAK_IMPORT, 1, [Is weak import available?]) + fi + AC_CACHE_CHECK([if Darwin SUSv3 extensions are available], + tcl_cv_cc_darwin_c_source, [ + hold_cflags=$CFLAGS; CFLAGS="$CFLAGS -Werror" + AC_TRY_COMPILE([ + #ifdef __ENVIRONMENT_MAC_OS_X_VERSION_MIN_REQUIRED__ + #if __ENVIRONMENT_MAC_OS_X_VERSION_MIN_REQUIRED__ < 1050 + #error __ENVIRONMENT_MAC_OS_X_VERSION_MIN_REQUIRED__ < 1050 + #endif + #elif MAC_OS_X_VERSION_MIN_REQUIRED < 1050 + #error MAC_OS_X_VERSION_MIN_REQUIRED < 1050 + #endif + #define _DARWIN_C_SOURCE 1 + #include + ],,tcl_cv_cc_darwin_c_source=yes, tcl_cv_cc_darwin_c_source=no) + CFLAGS=$hold_cflags]) + if test $tcl_cv_cc_darwin_c_source = yes; then + AC_DEFINE(_DARWIN_C_SOURCE, 1, + [Are Darwin SUSv3 extensions available?]) + fi + fi + # Build .bundle dltest binaries in addition to .dylib + DLTEST_LD='${CC} -bundle -Wl,-w ${CFLAGS} ${LDFLAGS}' + DLTEST_SUFFIX=".bundle" +else + DLTEST_LD='${SHLIB_LD}' + DLTEST_SUFFIX="" +fi + +#-------------------------------------------------------------------- +# Check for support of fts functions (readdir replacement) +#-------------------------------------------------------------------- + +AC_CACHE_CHECK([for fts], tcl_cv_api_fts, [ + AC_TRY_LINK([ + #include + #include + #include + ], [ + char*const p[2] = {"/", NULL}; + FTS *f = fts_open(p, FTS_PHYSICAL|FTS_NOCHDIR|FTS_NOSTAT, NULL); + FTSENT *e = fts_read(f); fts_close(f); + ], tcl_cv_api_fts=yes, tcl_cv_api_fts=no)]) +if test $tcl_cv_api_fts = yes; then + AC_DEFINE(HAVE_FTS, 1, [Do we have fts functions?]) +fi + +#-------------------------------------------------------------------- +# The statements below check for systems where POSIX-style non-blocking +# I/O (O_NONBLOCK) doesn't work or is unimplemented. On these systems +# (mostly older ones), use the old BSD-style FIONBIO approach instead. +#-------------------------------------------------------------------- + +SC_BLOCKING_STYLE + +#------------------------------------------------------------------------ + +AC_MSG_CHECKING([whether to use dll unloading]) +AC_ARG_ENABLE(dll-unloading, + AC_HELP_STRING([--enable-dll-unloading], + [enable the 'unload' command (default: on)]), + [tcl_ok=$enableval], [tcl_ok=yes]) +if test $tcl_ok = yes; then + AC_DEFINE(TCL_UNLOAD_DLLS, 1, [Do we allow unloading of shared libraries?]) +fi +AC_MSG_RESULT([$tcl_ok]) + +#------------------------------------------------------------------------ +# Check whether the timezone data is supplied by the OS or has +# to be installed by Tcl. The default is autodetection, but can +# be overriden on the configure command line either way. +#------------------------------------------------------------------------ + +AC_MSG_CHECKING([for timezone data]) +AC_ARG_WITH(tzdata, + AC_HELP_STRING([--with-tzdata], + [install timezone data (default: autodetect)]), + [tcl_ok=$withval], [tcl_ok=auto]) +# +# Any directories that get added here must also be added to the +# search path in ::tcl::clock::Initialize (library/clock.tcl). +# +case $tcl_ok in + no) + AC_MSG_RESULT([supplied by OS vendor]) + ;; + yes) + # nothing to do here + ;; + auto*) + AC_CACHE_VAL([tcl_cv_dir_zoneinfo], [ + for dir in /usr/share/zoneinfo \ + /usr/share/lib/zoneinfo \ + /usr/lib/zoneinfo + do + if test -f $dir/UTC -o -f $dir/GMT + then + tcl_cv_dir_zoneinfo="$dir" + break + fi + done]) + if test -n "$tcl_cv_dir_zoneinfo"; then + tcl_ok=no + AC_MSG_RESULT([$dir]) + else + tcl_ok=yes + fi + ;; + *) + AC_MSG_ERROR([invalid argument: $tcl_ok]) + ;; +esac +if test $tcl_ok = yes +then + AC_MSG_RESULT([supplied by Tcl]) + INSTALL_TZDATA=install-tzdata +fi + +#-------------------------------------------------------------------- +# DTrace support +#-------------------------------------------------------------------- + +AC_ARG_ENABLE(dtrace, + AC_HELP_STRING([--enable-dtrace], + [build with DTrace support (default: off)]), + [tcl_ok=$enableval], [tcl_ok=no]) +if test $tcl_ok = yes; then + AC_CHECK_HEADER(sys/sdt.h, [tcl_ok=yes], [tcl_ok=no]) +fi +if test $tcl_ok = yes; then + AC_PATH_PROG(DTRACE, dtrace,, [$PATH:/usr/sbin]) + test -z "$ac_cv_path_DTRACE" && tcl_ok=no +fi +AC_MSG_CHECKING([whether to enable DTrace support]) +MAKEFILE_SHELL='/bin/sh' +if test $tcl_ok = yes; then + AC_DEFINE(USE_DTRACE, 1, [Are we building with DTrace support?]) + DTRACE_SRC="\${DTRACE_SRC}" + DTRACE_HDR="\${DTRACE_HDR}" + if test "`uname -s`" != "Darwin" ; then + DTRACE_OBJ="\${DTRACE_OBJ}" + if test "`uname -s`" = "SunOS" -a "$SHARED_BUILD" = "0" ; then + # Need to create an intermediate object file to ensure tclDTrace.o + # gets included when linking against the static tcl library. + STLIB_LD='stlib_ld () { /usr/ccs/bin/ld -r -o $${1%.a}.o "$${@:2}" && '"${STLIB_LD}"' $${1} $${1%.a}.o ; } && stlib_ld' + MAKEFILE_SHELL='/bin/bash' + # Force use of Sun ar and ranlib, the GNU versions choke on + # tclDTrace.o and the combined object file above. + AR='/usr/ccs/bin/ar' + RANLIB='/usr/ccs/bin/ranlib' + fi + fi +fi +AC_MSG_RESULT([$tcl_ok]) + +#-------------------------------------------------------------------- +# The check below checks whether the cpuid instruction is usable. +#-------------------------------------------------------------------- + +AC_CACHE_CHECK([whether the cpuid instruction is usable], tcl_cv_cpuid, [ + AC_TRY_LINK(, [ + int index,regsPtr[4]; + __asm__ __volatile__("mov %%ebx, %%edi \n\t" + "cpuid \n\t" + "mov %%ebx, %%esi \n\t" + "mov %%edi, %%ebx \n\t" + : "=a"(regsPtr[0]), "=S"(regsPtr[1]), "=c"(regsPtr[2]), "=d"(regsPtr[3]) + : "a"(index) : "edi"); + ], tcl_cv_cpuid=yes, tcl_cv_cpuid=no)]) +if test $tcl_cv_cpuid = yes; then + AC_DEFINE(HAVE_CPUID, 1, [Is the cpuid instruction usable?]) +fi + +#-------------------------------------------------------------------- +# The statements below define a collection of symbols related to +# building libtcl as a shared library instead of a static library. +#-------------------------------------------------------------------- + +TCL_UNSHARED_LIB_SUFFIX=${UNSHARED_LIB_SUFFIX} +TCL_SHARED_LIB_SUFFIX=${SHARED_LIB_SUFFIX} +eval "TCL_LIB_FILE=libtcl${LIB_SUFFIX}" + +# tclConfig.sh needs a version of the _LIB_SUFFIX that has been eval'ed +# since on some platforms TCL_LIB_FILE contains shell escapes. +# (See also: TCL_TRIM_DOTS). + +eval "TCL_LIB_FILE=${TCL_LIB_FILE}" + +TCL_LIBRARY='$(prefix)/lib/tcl$(VERSION)' +PRIVATE_INCLUDE_DIR='$(includedir)' +HTML_DIR='$(DISTDIR)/html' + +# Note: in the following variable, it's important to use the absolute +# path name of the Tcl directory rather than "..": this is because +# AIX remembers this path and will attempt to use it at run-time to look +# up the Tcl library. + +if test "`uname -s`" = "Darwin" ; then + SC_ENABLE_FRAMEWORK + TCL_SHLIB_LD_EXTRAS="-compatibility_version ${TCL_VERSION} -current_version ${TCL_VERSION}`echo ${TCL_PATCH_LEVEL} | awk ['{match($0, "\\\.[0-9]+"); print substr($0,RSTART,RLENGTH)}']`" + TCL_SHLIB_LD_EXTRAS="${TCL_SHLIB_LD_EXTRAS}"' -install_name "${DYLIB_INSTALL_DIR}"/${TCL_LIB_FILE}' + echo "$LDFLAGS " | grep -q -- '-prebind ' && TCL_SHLIB_LD_EXTRAS="${TCL_SHLIB_LD_EXTRAS}"' -seg1addr 0xa000000' + TCL_SHLIB_LD_EXTRAS="${TCL_SHLIB_LD_EXTRAS}"' -sectcreate __TEXT __info_plist Tcl-Info.plist' + EXTRA_TCLSH_LIBS='-sectcreate __TEXT __info_plist Tclsh-Info.plist' + EXTRA_APP_CC_SWITCHES='-mdynamic-no-pic' + AC_CONFIG_FILES([Tcl-Info.plist:../macosx/Tcl-Info.plist.in Tclsh-Info.plist:../macosx/Tclsh-Info.plist.in]) + TCL_YEAR="`date +%Y`" +fi + +if test "$FRAMEWORK_BUILD" = "1" ; then + AC_DEFINE(TCL_FRAMEWORK, 1, [Is Tcl built as a framework?]) + # Construct a fake local framework structure to make linking with + # '-framework Tcl' and running of tcltest work + AC_CONFIG_COMMANDS([Tcl.framework], [n=Tcl && + f=$n.framework && v=Versions/$VERSION && + rm -rf $f && mkdir -p $f/$v/Resources && + ln -s $v/$n $v/Resources $f && ln -s ../../../$n $f/$v && + ln -s ../../../../$n-Info.plist $f/$v/Resources/Info.plist && + unset n f v + ], VERSION=${TCL_VERSION}) + LD_LIBRARY_PATH_VAR="DYLD_FRAMEWORK_PATH" + # default install directory for bundled packages + if test "${libdir}" = '${exec_prefix}/lib' -o "`basename ${libdir}`" = 'Frameworks'; then + PACKAGE_DIR="/Library/Tcl" + else + PACKAGE_DIR="$libdir" + fi + if test "${libdir}" = '${exec_prefix}/lib'; then + # override libdir default + libdir="/Library/Frameworks" + fi + TCL_LIB_FILE="Tcl" + TCL_LIB_FLAG="-framework Tcl" + TCL_BUILD_LIB_SPEC="-F`pwd | sed -e 's/ /\\\\ /g'` -framework Tcl" + TCL_LIB_SPEC="-F${libdir} -framework Tcl" + libdir="${libdir}/Tcl.framework/Versions/\${VERSION}" + TCL_LIBRARY="${libdir}/Resources/Scripts" + includedir="${libdir}/Headers" + PRIVATE_INCLUDE_DIR="${libdir}/PrivateHeaders" + HTML_DIR="${libdir}/Resources/Documentation/Reference/Tcl" + EXTRA_INSTALL="install-private-headers html-tcl" + EXTRA_BUILD_HTML='@ln -fs contents.htm "$(HTML_INSTALL_DIR)"/TclTOC.html' + EXTRA_INSTALL_BINARIES='@echo "Installing Info.plist to $(LIB_INSTALL_DIR)/Resources/" && $(INSTALL_DATA_DIR) "$(LIB_INSTALL_DIR)/Resources" && $(INSTALL_DATA) Tcl-Info.plist "$(LIB_INSTALL_DIR)/Resources/Info.plist"' + EXTRA_INSTALL_BINARIES="$EXTRA_INSTALL_BINARIES"' && echo "Installing license.terms to $(LIB_INSTALL_DIR)/Resources/" && $(INSTALL_DATA) "$(TOP_DIR)/license.terms" "$(LIB_INSTALL_DIR)/Resources"' + EXTRA_INSTALL_BINARIES="$EXTRA_INSTALL_BINARIES"' && echo "Finalizing Tcl.framework" && rm -f "$(LIB_INSTALL_DIR)/../Current" && ln -s "$(VERSION)" "$(LIB_INSTALL_DIR)/../Current" && for f in "$(LIB_FILE)" tclConfig.sh Resources Headers PrivateHeaders; do rm -f "$(LIB_INSTALL_DIR)/../../$$f" && ln -s "Versions/Current/$$f" "$(LIB_INSTALL_DIR)/../.."; done && f="$(STUB_LIB_FILE)" && rm -f "$(LIB_INSTALL_DIR)/../../$$f" && ln -s "Versions/$(VERSION)/$$f" "$(LIB_INSTALL_DIR)/../.."' + # Don't use AC_DEFINE for the following as the framework version define + # needs to go into the Makefile even when using autoheader, so that we + # can pick up a potential make override of VERSION. Also, don't put this + # into CFLAGS as it should not go into tclConfig.sh + EXTRA_CC_SWITCHES='-DTCL_FRAMEWORK_VERSION=\"$(VERSION)\"' +else + # libdir must be a fully qualified path and not ${exec_prefix}/lib + eval libdir="$libdir" + # default install directory for bundled packages + PACKAGE_DIR="$libdir" + if test "${TCL_LIB_VERSIONS_OK}" = "ok"; then + TCL_LIB_FLAG="-ltcl${TCL_VERSION}" + else + TCL_LIB_FLAG="-ltcl`echo ${TCL_VERSION} | tr -d .`" + fi + TCL_BUILD_LIB_SPEC="-L`pwd | sed -e 's/ /\\\\ /g'` ${TCL_LIB_FLAG}" + TCL_LIB_SPEC="-L${libdir} ${TCL_LIB_FLAG}" +fi +VERSION='${VERSION}' +eval "CFG_TCL_SHARED_LIB_SUFFIX=${TCL_SHARED_LIB_SUFFIX}" +eval "CFG_TCL_UNSHARED_LIB_SUFFIX=${TCL_UNSHARED_LIB_SUFFIX}" +VERSION=${TCL_VERSION} + +#-------------------------------------------------------------------- +# The statements below define the symbol TCL_PACKAGE_PATH, which +# gives a list of directories that may contain packages. The list +# consists of one directory for machine-dependent binaries and +# another for platform-independent scripts. +#-------------------------------------------------------------------- + +if test "$FRAMEWORK_BUILD" = "1" ; then + test -z "$TCL_PACKAGE_PATH" && \ + TCL_PACKAGE_PATH="~/Library/Tcl /Library/Tcl /System/Library/Tcl ~/Library/Frameworks /Library/Frameworks /System/Library/Frameworks" + test -z "$TCL_MODULE_PATH" && \ + TCL_MODULE_PATH="~/Library/Tcl /Library/Tcl /System/Library/Tcl" +elif test "$prefix/lib" != "$libdir"; then + TCL_PACKAGE_PATH="${libdir} ${prefix}/lib ${TCL_PACKAGE_PATH}" +else + TCL_PACKAGE_PATH="${prefix}/lib ${TCL_PACKAGE_PATH}" +fi + +#-------------------------------------------------------------------- +# The statements below define various symbols relating to Tcl +# stub support. +#-------------------------------------------------------------------- + +# Replace ${VERSION} with contents of ${TCL_VERSION} +# double-eval to account for TCL_TRIM_DOTS. +# +eval "TCL_STUB_LIB_FILE=libtclstub${TCL_UNSHARED_LIB_SUFFIX}" +eval "TCL_STUB_LIB_FILE=\"${TCL_STUB_LIB_FILE}\"" +eval "TCL_STUB_LIB_DIR=${libdir}" + +if test "${TCL_LIB_VERSIONS_OK}" = "ok"; then + TCL_STUB_LIB_FLAG="-ltclstub${TCL_VERSION}" +else + TCL_STUB_LIB_FLAG="-ltclstub`echo ${TCL_VERSION} | tr -d .`" +fi + +TCL_BUILD_STUB_LIB_SPEC="-L`pwd | sed -e 's/ /\\\\ /g'` ${TCL_STUB_LIB_FLAG}" +TCL_STUB_LIB_SPEC="-L${TCL_STUB_LIB_DIR} ${TCL_STUB_LIB_FLAG}" +TCL_BUILD_STUB_LIB_PATH="`pwd`/${TCL_STUB_LIB_FILE}" +TCL_STUB_LIB_PATH="${TCL_STUB_LIB_DIR}/${TCL_STUB_LIB_FILE}" + +# Install time header dir can be set via --includedir +eval "TCL_INCLUDE_SPEC=\"-I${includedir}\"" + +#------------------------------------------------------------------------ +# tclConfig.sh refers to this by a different name +#------------------------------------------------------------------------ + +TCL_SHARED_BUILD=${SHARED_BUILD} + +AC_SUBST(TCL_VERSION) +AC_SUBST(TCL_MAJOR_VERSION) +AC_SUBST(TCL_MINOR_VERSION) +AC_SUBST(TCL_PATCH_LEVEL) +AC_SUBST(TCL_YEAR) +AC_SUBST(PKG_CFG_ARGS) + +AC_SUBST(TCL_LIB_FILE) +AC_SUBST(TCL_LIB_FLAG) +AC_SUBST(TCL_LIB_SPEC) +AC_SUBST(TCL_STUB_LIB_FILE) +AC_SUBST(TCL_STUB_LIB_FLAG) +AC_SUBST(TCL_STUB_LIB_SPEC) +AC_SUBST(TCL_STUB_LIB_PATH) +AC_SUBST(TCL_INCLUDE_SPEC) +AC_SUBST(TCL_BUILD_STUB_LIB_SPEC) +AC_SUBST(TCL_BUILD_STUB_LIB_PATH) + +AC_SUBST(TCL_SRC_DIR) +AC_SUBST(CFG_TCL_SHARED_LIB_SUFFIX) +AC_SUBST(CFG_TCL_UNSHARED_LIB_SUFFIX) + +AC_SUBST(TCL_SHARED_BUILD) +AC_SUBST(LD_LIBRARY_PATH_VAR) + +AC_SUBST(TCL_BUILD_LIB_SPEC) + +AC_SUBST(TCL_LIB_VERSIONS_OK) +AC_SUBST(TCL_SHARED_LIB_SUFFIX) +AC_SUBST(TCL_UNSHARED_LIB_SUFFIX) + +AC_SUBST(TCL_HAS_LONGLONG) + +AC_SUBST(INSTALL_TZDATA) + +AC_SUBST(DTRACE_SRC) +AC_SUBST(DTRACE_HDR) +AC_SUBST(DTRACE_OBJ) +AC_SUBST(MAKEFILE_SHELL) + +AC_SUBST(BUILD_DLTEST) +AC_SUBST(TCL_PACKAGE_PATH) +AC_SUBST(TCL_MODULE_PATH) + +AC_SUBST(TCL_LIBRARY) +AC_SUBST(PRIVATE_INCLUDE_DIR) +AC_SUBST(HTML_DIR) +AC_SUBST(PACKAGE_DIR) + +AC_SUBST(EXTRA_CC_SWITCHES) +AC_SUBST(EXTRA_APP_CC_SWITCHES) +AC_SUBST(EXTRA_INSTALL) +AC_SUBST(EXTRA_INSTALL_BINARIES) +AC_SUBST(EXTRA_BUILD_HTML) +AC_SUBST(EXTRA_TCLSH_LIBS) + +AC_SUBST(DLTEST_LD) +AC_SUBST(DLTEST_SUFFIX) + +dnl Disable the automake-friendly normalization of LIBOBJS +dnl performed by autoconf 2.53 and later. It's not correct for us. +define([_AC_LIBOBJS_NORMALIZE],[]) +AC_CONFIG_FILES([ + Makefile:../unix/Makefile.in + dltest/Makefile:../unix/dltest/Makefile.in + tclConfig.sh:../unix/tclConfig.sh.in + tcl.pc:../unix/tcl.pc.in +]) +AC_OUTPUT + +dnl Local Variables: +dnl mode: autoconf +dnl End: diff --git a/unix/configure.in b/unix/configure.in deleted file mode 100644 index 41a1f62..0000000 --- a/unix/configure.in +++ /dev/null @@ -1,998 +0,0 @@ -#! /bin/bash -norc -dnl This file is an input file used by the GNU "autoconf" program to -dnl generate the file "configure", which is run during Tcl installation -dnl to configure the system for the local environment. - -AC_INIT([tcl],[8.7]) -AC_PREREQ(2.69) - -dnl This is only used when included from macosx/configure.ac -m4_ifdef([SC_USE_CONFIG_HEADERS], [ - AC_CONFIG_HEADERS([tclConfig.h:../unix/tclConfig.h.in]) - AC_CONFIG_COMMANDS_PRE([DEFS="-DHAVE_TCL_CONFIG_H -imacros tclConfig.h"]) - AH_TOP([ - #ifndef _TCLCONFIG - #define _TCLCONFIG]) - AH_BOTTOM([ - /* Undef unused package specific autoheader defines so that we can - * include both tclConfig.h and tkConfig.h at the same time: */ - /* override */ #undef PACKAGE_NAME - /* override */ #undef PACKAGE_STRING - /* override */ #undef PACKAGE_TARNAME - #endif /* _TCLCONFIG */]) -]) - -TCL_VERSION=8.7 -TCL_MAJOR_VERSION=8 -TCL_MINOR_VERSION=7 -TCL_PATCH_LEVEL="a0" -VERSION=${TCL_VERSION} - -EXTRA_INSTALL_BINARIES=${EXTRA_INSTALL_BINARIES:-"@:"} -EXTRA_BUILD_HTML=${EXTRA_BUILD_HTML:-"@:"} - -#------------------------------------------------------------------------ -# Setup configure arguments for bundled packages -#------------------------------------------------------------------------ - -PKG_CFG_ARGS="$ac_configure_args ${PKG_CFG_ARGS}" - -if test -r "$cache_file" -a -f "$cache_file"; then - case $cache_file in - [[\\/]]* | ?:[[\\/]]* ) pkg_cache_file=$cache_file ;; - *) pkg_cache_file=../../$cache_file ;; - esac - PKG_CFG_ARGS="${PKG_CFG_ARGS} --cache-file=$pkg_cache_file" -fi - -#------------------------------------------------------------------------ -# Empty slate for bundled packages, to avoid stale configuration -#------------------------------------------------------------------------ -#rm -Rf pkgs -if test -f Makefile; then - make distclean-packages -fi - -#------------------------------------------------------------------------ -# Handle the --prefix=... option -#------------------------------------------------------------------------ - -if test "${prefix}" = "NONE"; then - prefix=/usr/local -fi -if test "${exec_prefix}" = "NONE"; then - exec_prefix=$prefix -fi -# Make sure srcdir is fully qualified! -srcdir="`cd "$srcdir" ; pwd`" -TCL_SRC_DIR="`cd "$srcdir"/..; pwd`" - -#------------------------------------------------------------------------ -# Compress and/or soft link the manpages? -#------------------------------------------------------------------------ - -SC_CONFIG_MANPAGES - -#------------------------------------------------------------------------ -# Standard compiler checks -#------------------------------------------------------------------------ - -# If the user did not set CFLAGS, set it now to keep -# the AC_PROG_CC macro from adding "-g -O2". -if test "${CFLAGS+set}" != "set" ; then - CFLAGS="" -fi - -AC_PROG_CC -AC_C_INLINE - -#-------------------------------------------------------------------- -# Supply substitutes for missing POSIX header files. Special notes: -# - stdlib.h doesn't define strtol, strtoul, or -# strtod insome versions of SunOS -# - some versions of string.h don't declare procedures such -# as strstr -# Do this early, otherwise an autoconf bug throws errors on configure -#-------------------------------------------------------------------- - -SC_MISSING_POSIX_HEADERS - -#-------------------------------------------------------------------- -# Determines the correct executable file extension (.exe) -#-------------------------------------------------------------------- - -AC_EXEEXT - -#------------------------------------------------------------------------ -# If we're using GCC, see if the compiler understands -pipe. If so, use it. -# It makes compiling go faster. (This is only a performance feature.) -#------------------------------------------------------------------------ - -if test -z "$no_pipe" && test -n "$GCC"; then - AC_CACHE_CHECK([if the compiler understands -pipe], - tcl_cv_cc_pipe, [ - hold_cflags=$CFLAGS; CFLAGS="$CFLAGS -pipe" - AC_TRY_COMPILE(,, tcl_cv_cc_pipe=yes, tcl_cv_cc_pipe=no) - CFLAGS=$hold_cflags]) - if test $tcl_cv_cc_pipe = yes; then - CFLAGS="$CFLAGS -pipe" - fi -fi - -#------------------------------------------------------------------------ -# Threads support -#------------------------------------------------------------------------ - -SC_ENABLE_THREADS - -#------------------------------------------------------------------------ -# Embedded configuration information, encoding to use for the values, TIP #59 -#------------------------------------------------------------------------ - -SC_TCL_CFG_ENCODING - -#-------------------------------------------------------------------- -# Look for libraries that we will need when compiling the Tcl shell -#-------------------------------------------------------------------- - -SC_TCL_LINK_LIBS - -# Add the threads support libraries -LIBS="$LIBS$THREADS_LIBS" - -SC_ENABLE_SHARED - -#-------------------------------------------------------------------- -# Look for a native installed tclsh binary (if available) -# If one cannot be found then use the binary we build (fails for -# cross compiling). This is used for NATIVE_TCLSH in Makefile. -#-------------------------------------------------------------------- - -SC_PROG_TCLSH -if test "$TCLSH_PROG" = ""; then - TCLSH_PROG='./${TCL_EXE}' -fi - -#------------------------------------------------------------------------ -# Add stuff for zlib -#------------------------------------------------------------------------ - -zlib_ok=yes -AC_CHECK_HEADER([zlib.h],[ - AC_CHECK_TYPE([gz_header],[],[zlib_ok=no],[#include ])],[ - zlib_ok=no]) -AS_IF([test $zlib_ok = yes], [ - AC_SEARCH_LIBS([deflateSetHeader],[z],[],[ - zlib_ok=no - ])]) -AS_IF([test $zlib_ok = no], [ - AC_SUBST(ZLIB_OBJS,[\${ZLIB_OBJS}]) - AC_SUBST(ZLIB_SRCS,[\${ZLIB_SRCS}]) - AC_SUBST(ZLIB_INCLUDE,[-I\${ZLIB_DIR}]) -]) -AC_DEFINE(HAVE_ZLIB, 1, [Is there an installed zlib?]) - -#-------------------------------------------------------------------- -# The statements below define a collection of compile flags. This -# macro depends on the value of SHARED_BUILD, and should be called -# after SC_ENABLE_SHARED checks the configure switches. -#-------------------------------------------------------------------- - -SC_CONFIG_CFLAGS - -SC_ENABLE_SYMBOLS(bccdebug) - -AC_DEFINE(TCL_TOMMATH, 1, [Build libtommath?]) -AC_DEFINE(MP_PREC, 4, [Default libtommath precision.]) - -#-------------------------------------------------------------------- -# Detect what compiler flags to set for 64-bit support. -#-------------------------------------------------------------------- - -SC_TCL_EARLY_FLAGS - -SC_TCL_64BIT_FLAGS - -#-------------------------------------------------------------------- -# Check endianness because we can optimize comparisons of -# Tcl_UniChar strings to memcmp on big-endian systems. -#-------------------------------------------------------------------- - -AC_C_BIGENDIAN - -#-------------------------------------------------------------------- -# Supply substitutes for missing POSIX library procedures, or -# set flags so Tcl uses alternate procedures. -#-------------------------------------------------------------------- - -# Check if Posix compliant getcwd exists, if not we'll use getwd. -AC_CHECK_FUNCS(getcwd, , [AC_DEFINE(USEGETWD, 1, [Is getcwd Posix-compliant?])]) -# Nb: if getcwd uses popen and pwd(1) (like SunOS 4) we should really -# define USEGETWD even if the posix getcwd exists. Add a test ? - -AC_REPLACE_FUNCS(mkstemp opendir strtol waitpid) -AC_CHECK_FUNC(strerror, , [AC_DEFINE(NO_STRERROR, 1, [Do we have strerror()])]) -AC_CHECK_FUNC(getwd, , [AC_DEFINE(NO_GETWD, 1, [Do we have getwd()])]) -AC_CHECK_FUNC(wait3, , [AC_DEFINE(NO_WAIT3, 1, [Do we have wait3()])]) -AC_CHECK_FUNC(uname, , [AC_DEFINE(NO_UNAME, 1, [Do we have uname()])]) - -if test "`uname -s`" = "Darwin" && test "${TCL_THREADS}" = 1 && \ - test "`uname -r | awk -F. '{print [$]1}'`" -lt 7; then - # prior to Darwin 7, realpath is not threadsafe, so don't - # use it when threads are enabled, c.f. bug # 711232 - ac_cv_func_realpath=no -fi -AC_CHECK_FUNC(realpath, , [AC_DEFINE(NO_REALPATH, 1, [Do we have realpath()])]) - -SC_TCL_IPV6 - -#-------------------------------------------------------------------- -# Look for thread-safe variants of some library functions. -#-------------------------------------------------------------------- - -if test "${TCL_THREADS}" = 1; then - SC_TCL_GETPWUID_R - SC_TCL_GETPWNAM_R - SC_TCL_GETGRGID_R - SC_TCL_GETGRNAM_R - if test "`uname -s`" = "Darwin" && \ - test "`uname -r | awk -F. '{print [$]1}'`" -gt 5; then - # Starting with Darwin 6 (Mac OSX 10.2), gethostbyX - # are actually MT-safe as they always return pointers - # from TSD instead of static storage. - AC_DEFINE(HAVE_MTSAFE_GETHOSTBYNAME, 1, - [Do we have MT-safe gethostbyname() ?]) - AC_DEFINE(HAVE_MTSAFE_GETHOSTBYADDR, 1, - [Do we have MT-safe gethostbyaddr() ?]) - - elif test "`uname -s`" = "HP-UX" && \ - test "`uname -r|sed -e 's|B\.||' -e 's|\..*$||'`" -gt 10; then - # Starting with HPUX 11.00 (we believe), gethostbyX - # are actually MT-safe as they always return pointers - # from TSD instead of static storage. - AC_DEFINE(HAVE_MTSAFE_GETHOSTBYNAME, 1, - [Do we have MT-safe gethostbyname() ?]) - AC_DEFINE(HAVE_MTSAFE_GETHOSTBYADDR, 1, - [Do we have MT-safe gethostbyaddr() ?]) - - else - SC_TCL_GETHOSTBYNAME_R - SC_TCL_GETHOSTBYADDR_R - fi -fi - -#--------------------------------------------------------------------------- -# Check for serial port interface. -# -# termios.h is present on all POSIX systems. -# sys/ioctl.h is almost always present, though what it contains -# is system-specific. -# sys/modem.h is needed on HP-UX. -#--------------------------------------------------------------------------- - -AC_CHECK_HEADERS(termios.h) -AC_CHECK_HEADERS(sys/ioctl.h) -AC_CHECK_HEADERS(sys/modem.h) - -#-------------------------------------------------------------------- -# Include sys/select.h if it exists and if it supplies things -# that appear to be useful and aren't already in sys/types.h. -# This appears to be true only on the RS/6000 under AIX. Some -# systems like OSF/1 have a sys/select.h that's of no use, and -# other systems like SCO UNIX have a sys/select.h that's -# pernicious. If "fd_set" isn't defined anywhere then set a -# special flag. -#-------------------------------------------------------------------- - -AC_CACHE_CHECK([for fd_set in sys/types], tcl_cv_type_fd_set, [ - AC_TRY_COMPILE([#include ],[fd_set readMask, writeMask;], - tcl_cv_type_fd_set=yes, tcl_cv_type_fd_set=no)]) -tcl_ok=$tcl_cv_type_fd_set -if test $tcl_ok = no; then - AC_CACHE_CHECK([for fd_mask in sys/select], tcl_cv_grep_fd_mask, [ - AC_EGREP_HEADER(fd_mask, sys/select.h, - tcl_cv_grep_fd_mask=present, tcl_cv_grep_fd_mask=missing)]) - if test $tcl_cv_grep_fd_mask = present; then - AC_DEFINE(HAVE_SYS_SELECT_H, 1, [Should we include ?]) - tcl_ok=yes - fi -fi -if test $tcl_ok = no; then - AC_DEFINE(NO_FD_SET, 1, [Do we have fd_set?]) -fi - -#------------------------------------------------------------------------------ -# Find out all about time handling differences. -#------------------------------------------------------------------------------ - -SC_TIME_HANDLER - -#-------------------------------------------------------------------- -# Some systems (e.g., IRIX 4.0.5) lack some fields in struct stat. But -# we might be able to use fstatfs instead. Some systems (OpenBSD?) also -# lack blkcnt_t. -#-------------------------------------------------------------------- - -if test "$ac_cv_cygwin" != "yes"; then - AC_CHECK_MEMBERS([struct stat.st_blocks, struct stat.st_blksize]) -fi -AC_CHECK_TYPES([blkcnt_t]) -AC_CHECK_FUNC(fstatfs, , [AC_DEFINE(NO_FSTATFS, 1, [Do we have fstatfs()?])]) - -#-------------------------------------------------------------------- -# Some system have no memcmp or it does not work with 8 bit data, this -# checks it and add memcmp.o to LIBOBJS if needed -#-------------------------------------------------------------------- - -AC_FUNC_MEMCMP - -#-------------------------------------------------------------------- -# Some system like SunOS 4 and other BSD like systems have no memmove -# (we assume they have bcopy instead). {The replacement define is in -# compat/string.h} -#-------------------------------------------------------------------- - -AC_CHECK_FUNC(memmove, , [ - AC_DEFINE(NO_MEMMOVE, 1, [Do we have memmove()?]) - AC_DEFINE(NO_STRING_H, 1, [Do we have ?]) ]) - -#-------------------------------------------------------------------- -# On some systems strstr is broken: it returns a pointer even even if -# the original string is empty. -#-------------------------------------------------------------------- - -SC_TCL_CHECK_BROKEN_FUNC(strstr, [ - extern int strstr(); - exit(strstr("\0test", "test") ? 1 : 0); -]) - -#-------------------------------------------------------------------- -# Check for strtoul function. This is tricky because under some -# versions of AIX strtoul returns an incorrect terminator -# pointer for the string "0". -#-------------------------------------------------------------------- - -SC_TCL_CHECK_BROKEN_FUNC(strtoul, [ - extern int strtoul(); - char *term, *string = "0"; - exit(strtoul(string,&term,0) != 0 || term != string+1); -]) - -#-------------------------------------------------------------------- -# Check for the strtod function. This is tricky because in some -# versions of Linux strtod mis-parses strings starting with "+". -#-------------------------------------------------------------------- - -SC_TCL_CHECK_BROKEN_FUNC(strtod, [ - extern double strtod(); - char *term, *string = " +69"; - exit(strtod(string,&term) != 69 || term != string+4); -]) - -#-------------------------------------------------------------------- -# Under Solaris 2.4, strtod returns the wrong value for the -# terminating character under some conditions. Check for this -# and if the problem exists use a substitute procedure -# "fixstrtod" that corrects the error. -#-------------------------------------------------------------------- - -SC_BUGGY_STRTOD - -#-------------------------------------------------------------------- -# Check for various typedefs and provide substitutes if -# they don't exist. -#-------------------------------------------------------------------- - -AC_TYPE_MODE_T -AC_TYPE_PID_T -AC_TYPE_SIZE_T -AC_TYPE_UID_T - -AC_CACHE_CHECK([for socklen_t], tcl_cv_type_socklen_t, [ - AC_TRY_COMPILE([ - #include - #include - ],[ - socklen_t foo; - ],[tcl_cv_type_socklen_t=yes],[tcl_cv_type_socklen_t=no])]) -if test $tcl_cv_type_socklen_t = no; then - AC_DEFINE(socklen_t, int, [Define as int if socklen_t is not available]) -fi - -AC_CHECK_TYPE([intptr_t], [ - AC_DEFINE([HAVE_INTPTR_T], 1, [Do we have the intptr_t type?])], [ - AC_CACHE_CHECK([for pointer-size signed integer type], tcl_cv_intptr_t, [ - for tcl_cv_intptr_t in "int" "long" "long long" none; do - if test "$tcl_cv_intptr_t" != none; then - AC_COMPILE_IFELSE([AC_LANG_BOOL_COMPILE_TRY([AC_INCLUDES_DEFAULT], - [[sizeof (void *) <= sizeof ($tcl_cv_intptr_t)]])], - [tcl_ok=yes], [tcl_ok=no]) - test "$tcl_ok" = yes && break; fi - done]) - if test "$tcl_cv_intptr_t" != none; then - AC_DEFINE_UNQUOTED([intptr_t], [$tcl_cv_intptr_t], [Signed integer - type wide enough to hold a pointer.]) - fi -]) -AC_CHECK_TYPE([uintptr_t], [ - AC_DEFINE([HAVE_UINTPTR_T], 1, [Do we have the uintptr_t type?])], [ - AC_CACHE_CHECK([for pointer-size unsigned integer type], tcl_cv_uintptr_t, [ - for tcl_cv_uintptr_t in "unsigned int" "unsigned long" "unsigned long long" \ - none; do - if test "$tcl_cv_uintptr_t" != none; then - AC_COMPILE_IFELSE([AC_LANG_BOOL_COMPILE_TRY([AC_INCLUDES_DEFAULT], - [[sizeof (void *) <= sizeof ($tcl_cv_uintptr_t)]])], - [tcl_ok=yes], [tcl_ok=no]) - test "$tcl_ok" = yes && break; fi - done]) - if test "$tcl_cv_uintptr_t" != none; then - AC_DEFINE_UNQUOTED([uintptr_t], [$tcl_cv_uintptr_t], [Unsigned integer - type wide enough to hold a pointer.]) - fi -]) - -#-------------------------------------------------------------------- -# If a system doesn't have an opendir function (man, that's old!) -# then we have to supply a different version of dirent.h which -# is compatible with the substitute version of opendir that's -# provided. This version only works with V7-style directories. -#-------------------------------------------------------------------- - -AC_CHECK_FUNC(opendir, , [AC_DEFINE(USE_DIRENT2_H, 1, [May we include ?])]) - -#-------------------------------------------------------------------- -# The check below checks whether defines the type -# "union wait" correctly. It's needed because of weirdness in -# HP-UX where "union wait" is defined in both the BSD and SYS-V -# environments. Checking the usability of WIFEXITED seems to do -# the trick. -#-------------------------------------------------------------------- - -AC_CACHE_CHECK([union wait], tcl_cv_union_wait, [ - AC_TRY_LINK([#include -#include ], [ -union wait x; -WIFEXITED(x); /* Generates compiler error if WIFEXITED - * uses an int. */ - ], tcl_cv_union_wait=yes, tcl_cv_union_wait=no)]) -if test $tcl_cv_union_wait = no; then - AC_DEFINE(NO_UNION_WAIT, 1, [Do we have a usable 'union wait'?]) -fi - -#-------------------------------------------------------------------- -# Check whether there is an strncasecmp function on this system. -# This is a bit tricky because under SCO it's in -lsocket and -# under Sequent Dynix it's in -linet. -#-------------------------------------------------------------------- - -AC_CHECK_FUNC(strncasecmp, tcl_ok=1, tcl_ok=0) -if test "$tcl_ok" = 0; then - AC_CHECK_LIB(socket, strncasecmp, tcl_ok=1, tcl_ok=0) -fi -if test "$tcl_ok" = 0; then - AC_CHECK_LIB(inet, strncasecmp, tcl_ok=1, tcl_ok=0) -fi -if test "$tcl_ok" = 0; then - AC_LIBOBJ([strncasecmp]) - USE_COMPAT=1 -fi - -#-------------------------------------------------------------------- -# The code below deals with several issues related to gettimeofday: -# 1. Some systems don't provide a gettimeofday function at all -# (set NO_GETTOD if this is the case). -# 2. See if gettimeofday is declared in the header file. -# if not, set the GETTOD_NOT_DECLARED flag so that tclPort.h can -# declare it. -#-------------------------------------------------------------------- - -AC_CHECK_FUNC(gettimeofday,[],[ - AC_DEFINE(NO_GETTOD, 1, [Do we have gettimeofday()?]) -]) -AC_CACHE_CHECK([for gettimeofday declaration], tcl_cv_grep_gettimeofday, [ - AC_EGREP_HEADER(gettimeofday, sys/time.h, - tcl_cv_grep_gettimeofday=present, tcl_cv_grep_gettimeofday=missing)]) -if test $tcl_cv_grep_gettimeofday = missing ; then - AC_DEFINE(GETTOD_NOT_DECLARED, 1, [Is gettimeofday() actually declared in ?]) -fi - -#-------------------------------------------------------------------- -# The following code checks to see whether it is possible to get -# signed chars on this platform. This is needed in order to -# properly generate sign-extended ints from character values. -#-------------------------------------------------------------------- - -AC_C_CHAR_UNSIGNED -AC_CACHE_CHECK([signed char declarations], tcl_cv_char_signed, [ - AC_TRY_COMPILE(, [ - signed char *p; - p = 0; - ], tcl_cv_char_signed=yes, tcl_cv_char_signed=no)]) -if test $tcl_cv_char_signed = yes; then - AC_DEFINE(HAVE_SIGNED_CHAR, 1, [Are characters signed?]) -fi - -#-------------------------------------------------------------------- -# Does putenv() copy or not? We need to know to avoid memory leaks. -#-------------------------------------------------------------------- - -AC_CACHE_CHECK([for a putenv() that copies the buffer], tcl_cv_putenv_copy, [ - AC_TRY_RUN([ - #include - #define OURVAR "havecopy=yes" - int main (int argc, char *argv[]) - { - char *foo, *bar; - foo = (char *)strdup(OURVAR); - putenv(foo); - strcpy((char *)(strchr(foo, '=') + 1), "no"); - bar = getenv("havecopy"); - if (!strcmp(bar, "no")) { - /* doesnt copy */ - return 0; - } else { - /* does copy */ - return 1; - } - } - ], - tcl_cv_putenv_copy=no, - tcl_cv_putenv_copy=yes, - tcl_cv_putenv_copy=no)]) -if test $tcl_cv_putenv_copy = yes; then - AC_DEFINE(HAVE_PUTENV_THAT_COPIES, 1, - [Does putenv() copy strings or incorporate them by reference?]) -fi - -#-------------------------------------------------------------------- -# Check for support of nl_langinfo function -#-------------------------------------------------------------------- - -SC_ENABLE_LANGINFO - -#-------------------------------------------------------------------- -# Check for support of chflags and mkstemps functions -#-------------------------------------------------------------------- - -AC_CHECK_FUNCS(chflags mkstemps) - -#-------------------------------------------------------------------- -# Check for support of isnan() function or macro -#-------------------------------------------------------------------- - -AC_CACHE_CHECK([isnan], tcl_cv_isnan, [ - AC_TRY_LINK([#include ], [ -isnan(0.0); /* Generates an error if isnan is missing */ -], tcl_cv_isnan=yes, tcl_cv_isnan=no)]) -if test $tcl_cv_isnan = no; then - AC_DEFINE(NO_ISNAN, 1, [Do we have a usable 'isnan'?]) -fi - -#-------------------------------------------------------------------- -# Darwin specific API checks and defines -#-------------------------------------------------------------------- - -if test "`uname -s`" = "Darwin" ; then - AC_CHECK_FUNCS(getattrlist) - AC_CHECK_HEADERS(copyfile.h) - AC_CHECK_FUNCS(copyfile) - if test $tcl_corefoundation = yes; then - AC_CHECK_HEADERS(libkern/OSAtomic.h) - AC_CHECK_FUNCS(OSSpinLockLock) - fi - AC_DEFINE(USE_VFORK, 1, [Should we use vfork() instead of fork()?]) - AC_DEFINE(TCL_DEFAULT_ENCODING, "utf-8", - [Are we to override what our default encoding is?]) - AC_DEFINE(TCL_LOAD_FROM_MEMORY, 1, - [Can this platform load code from memory?]) - AC_DEFINE(TCL_WIDE_CLICKS, 1, - [Does this platform have wide high-resolution clicks?]) - AC_CHECK_HEADERS(AvailabilityMacros.h) - if test "$ac_cv_header_AvailabilityMacros_h" = yes; then - AC_CACHE_CHECK([if weak import is available], tcl_cv_cc_weak_import, [ - hold_cflags=$CFLAGS; CFLAGS="$CFLAGS -Werror" - AC_TRY_LINK([ - #ifdef __ENVIRONMENT_MAC_OS_X_VERSION_MIN_REQUIRED__ - #if __ENVIRONMENT_MAC_OS_X_VERSION_MIN_REQUIRED__ < 1020 - #error __ENVIRONMENT_MAC_OS_X_VERSION_MIN_REQUIRED__ < 1020 - #endif - #elif MAC_OS_X_VERSION_MIN_REQUIRED < 1020 - #error MAC_OS_X_VERSION_MIN_REQUIRED < 1020 - #endif - int rand(void) __attribute__((weak_import)); - ], [rand();], - tcl_cv_cc_weak_import=yes, tcl_cv_cc_weak_import=no) - CFLAGS=$hold_cflags]) - if test $tcl_cv_cc_weak_import = yes; then - AC_DEFINE(HAVE_WEAK_IMPORT, 1, [Is weak import available?]) - fi - AC_CACHE_CHECK([if Darwin SUSv3 extensions are available], - tcl_cv_cc_darwin_c_source, [ - hold_cflags=$CFLAGS; CFLAGS="$CFLAGS -Werror" - AC_TRY_COMPILE([ - #ifdef __ENVIRONMENT_MAC_OS_X_VERSION_MIN_REQUIRED__ - #if __ENVIRONMENT_MAC_OS_X_VERSION_MIN_REQUIRED__ < 1050 - #error __ENVIRONMENT_MAC_OS_X_VERSION_MIN_REQUIRED__ < 1050 - #endif - #elif MAC_OS_X_VERSION_MIN_REQUIRED < 1050 - #error MAC_OS_X_VERSION_MIN_REQUIRED < 1050 - #endif - #define _DARWIN_C_SOURCE 1 - #include - ],,tcl_cv_cc_darwin_c_source=yes, tcl_cv_cc_darwin_c_source=no) - CFLAGS=$hold_cflags]) - if test $tcl_cv_cc_darwin_c_source = yes; then - AC_DEFINE(_DARWIN_C_SOURCE, 1, - [Are Darwin SUSv3 extensions available?]) - fi - fi - # Build .bundle dltest binaries in addition to .dylib - DLTEST_LD='${CC} -bundle -Wl,-w ${CFLAGS} ${LDFLAGS}' - DLTEST_SUFFIX=".bundle" -else - DLTEST_LD='${SHLIB_LD}' - DLTEST_SUFFIX="" -fi - -#-------------------------------------------------------------------- -# Check for support of fts functions (readdir replacement) -#-------------------------------------------------------------------- - -AC_CACHE_CHECK([for fts], tcl_cv_api_fts, [ - AC_TRY_LINK([ - #include - #include - #include - ], [ - char*const p[2] = {"/", NULL}; - FTS *f = fts_open(p, FTS_PHYSICAL|FTS_NOCHDIR|FTS_NOSTAT, NULL); - FTSENT *e = fts_read(f); fts_close(f); - ], tcl_cv_api_fts=yes, tcl_cv_api_fts=no)]) -if test $tcl_cv_api_fts = yes; then - AC_DEFINE(HAVE_FTS, 1, [Do we have fts functions?]) -fi - -#-------------------------------------------------------------------- -# The statements below check for systems where POSIX-style non-blocking -# I/O (O_NONBLOCK) doesn't work or is unimplemented. On these systems -# (mostly older ones), use the old BSD-style FIONBIO approach instead. -#-------------------------------------------------------------------- - -SC_BLOCKING_STYLE - -#------------------------------------------------------------------------ - -AC_MSG_CHECKING([whether to use dll unloading]) -AC_ARG_ENABLE(dll-unloading, - AC_HELP_STRING([--enable-dll-unloading], - [enable the 'unload' command (default: on)]), - [tcl_ok=$enableval], [tcl_ok=yes]) -if test $tcl_ok = yes; then - AC_DEFINE(TCL_UNLOAD_DLLS, 1, [Do we allow unloading of shared libraries?]) -fi -AC_MSG_RESULT([$tcl_ok]) - -#------------------------------------------------------------------------ -# Check whether the timezone data is supplied by the OS or has -# to be installed by Tcl. The default is autodetection, but can -# be overriden on the configure command line either way. -#------------------------------------------------------------------------ - -AC_MSG_CHECKING([for timezone data]) -AC_ARG_WITH(tzdata, - AC_HELP_STRING([--with-tzdata], - [install timezone data (default: autodetect)]), - [tcl_ok=$withval], [tcl_ok=auto]) -# -# Any directories that get added here must also be added to the -# search path in ::tcl::clock::Initialize (library/clock.tcl). -# -case $tcl_ok in - no) - AC_MSG_RESULT([supplied by OS vendor]) - ;; - yes) - # nothing to do here - ;; - auto*) - AC_CACHE_VAL([tcl_cv_dir_zoneinfo], [ - for dir in /usr/share/zoneinfo \ - /usr/share/lib/zoneinfo \ - /usr/lib/zoneinfo - do - if test -f $dir/UTC -o -f $dir/GMT - then - tcl_cv_dir_zoneinfo="$dir" - break - fi - done]) - if test -n "$tcl_cv_dir_zoneinfo"; then - tcl_ok=no - AC_MSG_RESULT([$dir]) - else - tcl_ok=yes - fi - ;; - *) - AC_MSG_ERROR([invalid argument: $tcl_ok]) - ;; -esac -if test $tcl_ok = yes -then - AC_MSG_RESULT([supplied by Tcl]) - INSTALL_TZDATA=install-tzdata -fi - -#-------------------------------------------------------------------- -# DTrace support -#-------------------------------------------------------------------- - -AC_ARG_ENABLE(dtrace, - AC_HELP_STRING([--enable-dtrace], - [build with DTrace support (default: off)]), - [tcl_ok=$enableval], [tcl_ok=no]) -if test $tcl_ok = yes; then - AC_CHECK_HEADER(sys/sdt.h, [tcl_ok=yes], [tcl_ok=no]) -fi -if test $tcl_ok = yes; then - AC_PATH_PROG(DTRACE, dtrace,, [$PATH:/usr/sbin]) - test -z "$ac_cv_path_DTRACE" && tcl_ok=no -fi -AC_MSG_CHECKING([whether to enable DTrace support]) -MAKEFILE_SHELL='/bin/sh' -if test $tcl_ok = yes; then - AC_DEFINE(USE_DTRACE, 1, [Are we building with DTrace support?]) - DTRACE_SRC="\${DTRACE_SRC}" - DTRACE_HDR="\${DTRACE_HDR}" - if test "`uname -s`" != "Darwin" ; then - DTRACE_OBJ="\${DTRACE_OBJ}" - if test "`uname -s`" = "SunOS" -a "$SHARED_BUILD" = "0" ; then - # Need to create an intermediate object file to ensure tclDTrace.o - # gets included when linking against the static tcl library. - STLIB_LD='stlib_ld () { /usr/ccs/bin/ld -r -o $${1%.a}.o "$${@:2}" && '"${STLIB_LD}"' $${1} $${1%.a}.o ; } && stlib_ld' - MAKEFILE_SHELL='/bin/bash' - # Force use of Sun ar and ranlib, the GNU versions choke on - # tclDTrace.o and the combined object file above. - AR='/usr/ccs/bin/ar' - RANLIB='/usr/ccs/bin/ranlib' - fi - fi -fi -AC_MSG_RESULT([$tcl_ok]) - -#-------------------------------------------------------------------- -# The check below checks whether the cpuid instruction is usable. -#-------------------------------------------------------------------- - -AC_CACHE_CHECK([whether the cpuid instruction is usable], tcl_cv_cpuid, [ - AC_TRY_LINK(, [ - int index,regsPtr[4]; - __asm__ __volatile__("mov %%ebx, %%edi \n\t" - "cpuid \n\t" - "mov %%ebx, %%esi \n\t" - "mov %%edi, %%ebx \n\t" - : "=a"(regsPtr[0]), "=S"(regsPtr[1]), "=c"(regsPtr[2]), "=d"(regsPtr[3]) - : "a"(index) : "edi"); - ], tcl_cv_cpuid=yes, tcl_cv_cpuid=no)]) -if test $tcl_cv_cpuid = yes; then - AC_DEFINE(HAVE_CPUID, 1, [Is the cpuid instruction usable?]) -fi - -#-------------------------------------------------------------------- -# The statements below define a collection of symbols related to -# building libtcl as a shared library instead of a static library. -#-------------------------------------------------------------------- - -TCL_UNSHARED_LIB_SUFFIX=${UNSHARED_LIB_SUFFIX} -TCL_SHARED_LIB_SUFFIX=${SHARED_LIB_SUFFIX} -eval "TCL_LIB_FILE=libtcl${LIB_SUFFIX}" - -# tclConfig.sh needs a version of the _LIB_SUFFIX that has been eval'ed -# since on some platforms TCL_LIB_FILE contains shell escapes. -# (See also: TCL_TRIM_DOTS). - -eval "TCL_LIB_FILE=${TCL_LIB_FILE}" - -TCL_LIBRARY='$(prefix)/lib/tcl$(VERSION)' -PRIVATE_INCLUDE_DIR='$(includedir)' -HTML_DIR='$(DISTDIR)/html' - -# Note: in the following variable, it's important to use the absolute -# path name of the Tcl directory rather than "..": this is because -# AIX remembers this path and will attempt to use it at run-time to look -# up the Tcl library. - -if test "`uname -s`" = "Darwin" ; then - SC_ENABLE_FRAMEWORK - TCL_SHLIB_LD_EXTRAS="-compatibility_version ${TCL_VERSION} -current_version ${TCL_VERSION}`echo ${TCL_PATCH_LEVEL} | awk ['{match($0, "\\\.[0-9]+"); print substr($0,RSTART,RLENGTH)}']`" - TCL_SHLIB_LD_EXTRAS="${TCL_SHLIB_LD_EXTRAS}"' -install_name "${DYLIB_INSTALL_DIR}"/${TCL_LIB_FILE}' - echo "$LDFLAGS " | grep -q -- '-prebind ' && TCL_SHLIB_LD_EXTRAS="${TCL_SHLIB_LD_EXTRAS}"' -seg1addr 0xa000000' - TCL_SHLIB_LD_EXTRAS="${TCL_SHLIB_LD_EXTRAS}"' -sectcreate __TEXT __info_plist Tcl-Info.plist' - EXTRA_TCLSH_LIBS='-sectcreate __TEXT __info_plist Tclsh-Info.plist' - EXTRA_APP_CC_SWITCHES='-mdynamic-no-pic' - AC_CONFIG_FILES([Tcl-Info.plist:../macosx/Tcl-Info.plist.in Tclsh-Info.plist:../macosx/Tclsh-Info.plist.in]) - TCL_YEAR="`date +%Y`" -fi - -if test "$FRAMEWORK_BUILD" = "1" ; then - AC_DEFINE(TCL_FRAMEWORK, 1, [Is Tcl built as a framework?]) - # Construct a fake local framework structure to make linking with - # '-framework Tcl' and running of tcltest work - AC_CONFIG_COMMANDS([Tcl.framework], [n=Tcl && - f=$n.framework && v=Versions/$VERSION && - rm -rf $f && mkdir -p $f/$v/Resources && - ln -s $v/$n $v/Resources $f && ln -s ../../../$n $f/$v && - ln -s ../../../../$n-Info.plist $f/$v/Resources/Info.plist && - unset n f v - ], VERSION=${TCL_VERSION}) - LD_LIBRARY_PATH_VAR="DYLD_FRAMEWORK_PATH" - # default install directory for bundled packages - if test "${libdir}" = '${exec_prefix}/lib' -o "`basename ${libdir}`" = 'Frameworks'; then - PACKAGE_DIR="/Library/Tcl" - else - PACKAGE_DIR="$libdir" - fi - if test "${libdir}" = '${exec_prefix}/lib'; then - # override libdir default - libdir="/Library/Frameworks" - fi - TCL_LIB_FILE="Tcl" - TCL_LIB_FLAG="-framework Tcl" - TCL_BUILD_LIB_SPEC="-F`pwd | sed -e 's/ /\\\\ /g'` -framework Tcl" - TCL_LIB_SPEC="-F${libdir} -framework Tcl" - libdir="${libdir}/Tcl.framework/Versions/\${VERSION}" - TCL_LIBRARY="${libdir}/Resources/Scripts" - includedir="${libdir}/Headers" - PRIVATE_INCLUDE_DIR="${libdir}/PrivateHeaders" - HTML_DIR="${libdir}/Resources/Documentation/Reference/Tcl" - EXTRA_INSTALL="install-private-headers html-tcl" - EXTRA_BUILD_HTML='@ln -fs contents.htm "$(HTML_INSTALL_DIR)"/TclTOC.html' - EXTRA_INSTALL_BINARIES='@echo "Installing Info.plist to $(LIB_INSTALL_DIR)/Resources/" && $(INSTALL_DATA_DIR) "$(LIB_INSTALL_DIR)/Resources" && $(INSTALL_DATA) Tcl-Info.plist "$(LIB_INSTALL_DIR)/Resources/Info.plist"' - EXTRA_INSTALL_BINARIES="$EXTRA_INSTALL_BINARIES"' && echo "Installing license.terms to $(LIB_INSTALL_DIR)/Resources/" && $(INSTALL_DATA) "$(TOP_DIR)/license.terms" "$(LIB_INSTALL_DIR)/Resources"' - EXTRA_INSTALL_BINARIES="$EXTRA_INSTALL_BINARIES"' && echo "Finalizing Tcl.framework" && rm -f "$(LIB_INSTALL_DIR)/../Current" && ln -s "$(VERSION)" "$(LIB_INSTALL_DIR)/../Current" && for f in "$(LIB_FILE)" tclConfig.sh Resources Headers PrivateHeaders; do rm -f "$(LIB_INSTALL_DIR)/../../$$f" && ln -s "Versions/Current/$$f" "$(LIB_INSTALL_DIR)/../.."; done && f="$(STUB_LIB_FILE)" && rm -f "$(LIB_INSTALL_DIR)/../../$$f" && ln -s "Versions/$(VERSION)/$$f" "$(LIB_INSTALL_DIR)/../.."' - # Don't use AC_DEFINE for the following as the framework version define - # needs to go into the Makefile even when using autoheader, so that we - # can pick up a potential make override of VERSION. Also, don't put this - # into CFLAGS as it should not go into tclConfig.sh - EXTRA_CC_SWITCHES='-DTCL_FRAMEWORK_VERSION=\"$(VERSION)\"' -else - # libdir must be a fully qualified path and not ${exec_prefix}/lib - eval libdir="$libdir" - # default install directory for bundled packages - PACKAGE_DIR="$libdir" - if test "${TCL_LIB_VERSIONS_OK}" = "ok"; then - TCL_LIB_FLAG="-ltcl${TCL_VERSION}" - else - TCL_LIB_FLAG="-ltcl`echo ${TCL_VERSION} | tr -d .`" - fi - TCL_BUILD_LIB_SPEC="-L`pwd | sed -e 's/ /\\\\ /g'` ${TCL_LIB_FLAG}" - TCL_LIB_SPEC="-L${libdir} ${TCL_LIB_FLAG}" -fi -VERSION='${VERSION}' -eval "CFG_TCL_SHARED_LIB_SUFFIX=${TCL_SHARED_LIB_SUFFIX}" -eval "CFG_TCL_UNSHARED_LIB_SUFFIX=${TCL_UNSHARED_LIB_SUFFIX}" -VERSION=${TCL_VERSION} - -#-------------------------------------------------------------------- -# The statements below define the symbol TCL_PACKAGE_PATH, which -# gives a list of directories that may contain packages. The list -# consists of one directory for machine-dependent binaries and -# another for platform-independent scripts. -#-------------------------------------------------------------------- - -if test "$FRAMEWORK_BUILD" = "1" ; then - test -z "$TCL_PACKAGE_PATH" && \ - TCL_PACKAGE_PATH="~/Library/Tcl /Library/Tcl /System/Library/Tcl ~/Library/Frameworks /Library/Frameworks /System/Library/Frameworks" - test -z "$TCL_MODULE_PATH" && \ - TCL_MODULE_PATH="~/Library/Tcl /Library/Tcl /System/Library/Tcl" -elif test "$prefix/lib" != "$libdir"; then - TCL_PACKAGE_PATH="${libdir} ${prefix}/lib ${TCL_PACKAGE_PATH}" -else - TCL_PACKAGE_PATH="${prefix}/lib ${TCL_PACKAGE_PATH}" -fi - -#-------------------------------------------------------------------- -# The statements below define various symbols relating to Tcl -# stub support. -#-------------------------------------------------------------------- - -# Replace ${VERSION} with contents of ${TCL_VERSION} -# double-eval to account for TCL_TRIM_DOTS. -# -eval "TCL_STUB_LIB_FILE=libtclstub${TCL_UNSHARED_LIB_SUFFIX}" -eval "TCL_STUB_LIB_FILE=\"${TCL_STUB_LIB_FILE}\"" -eval "TCL_STUB_LIB_DIR=${libdir}" - -if test "${TCL_LIB_VERSIONS_OK}" = "ok"; then - TCL_STUB_LIB_FLAG="-ltclstub${TCL_VERSION}" -else - TCL_STUB_LIB_FLAG="-ltclstub`echo ${TCL_VERSION} | tr -d .`" -fi - -TCL_BUILD_STUB_LIB_SPEC="-L`pwd | sed -e 's/ /\\\\ /g'` ${TCL_STUB_LIB_FLAG}" -TCL_STUB_LIB_SPEC="-L${TCL_STUB_LIB_DIR} ${TCL_STUB_LIB_FLAG}" -TCL_BUILD_STUB_LIB_PATH="`pwd`/${TCL_STUB_LIB_FILE}" -TCL_STUB_LIB_PATH="${TCL_STUB_LIB_DIR}/${TCL_STUB_LIB_FILE}" - -# Install time header dir can be set via --includedir -eval "TCL_INCLUDE_SPEC=\"-I${includedir}\"" - -#------------------------------------------------------------------------ -# tclConfig.sh refers to this by a different name -#------------------------------------------------------------------------ - -TCL_SHARED_BUILD=${SHARED_BUILD} - -AC_SUBST(TCL_VERSION) -AC_SUBST(TCL_MAJOR_VERSION) -AC_SUBST(TCL_MINOR_VERSION) -AC_SUBST(TCL_PATCH_LEVEL) -AC_SUBST(TCL_YEAR) -AC_SUBST(PKG_CFG_ARGS) - -AC_SUBST(TCL_LIB_FILE) -AC_SUBST(TCL_LIB_FLAG) -AC_SUBST(TCL_LIB_SPEC) -AC_SUBST(TCL_STUB_LIB_FILE) -AC_SUBST(TCL_STUB_LIB_FLAG) -AC_SUBST(TCL_STUB_LIB_SPEC) -AC_SUBST(TCL_STUB_LIB_PATH) -AC_SUBST(TCL_INCLUDE_SPEC) -AC_SUBST(TCL_BUILD_STUB_LIB_SPEC) -AC_SUBST(TCL_BUILD_STUB_LIB_PATH) - -AC_SUBST(TCL_SRC_DIR) -AC_SUBST(CFG_TCL_SHARED_LIB_SUFFIX) -AC_SUBST(CFG_TCL_UNSHARED_LIB_SUFFIX) - -AC_SUBST(TCL_SHARED_BUILD) -AC_SUBST(LD_LIBRARY_PATH_VAR) - -AC_SUBST(TCL_BUILD_LIB_SPEC) - -AC_SUBST(TCL_LIB_VERSIONS_OK) -AC_SUBST(TCL_SHARED_LIB_SUFFIX) -AC_SUBST(TCL_UNSHARED_LIB_SUFFIX) - -AC_SUBST(TCL_HAS_LONGLONG) - -AC_SUBST(INSTALL_TZDATA) - -AC_SUBST(DTRACE_SRC) -AC_SUBST(DTRACE_HDR) -AC_SUBST(DTRACE_OBJ) -AC_SUBST(MAKEFILE_SHELL) - -AC_SUBST(BUILD_DLTEST) -AC_SUBST(TCL_PACKAGE_PATH) -AC_SUBST(TCL_MODULE_PATH) - -AC_SUBST(TCL_LIBRARY) -AC_SUBST(PRIVATE_INCLUDE_DIR) -AC_SUBST(HTML_DIR) -AC_SUBST(PACKAGE_DIR) - -AC_SUBST(EXTRA_CC_SWITCHES) -AC_SUBST(EXTRA_APP_CC_SWITCHES) -AC_SUBST(EXTRA_INSTALL) -AC_SUBST(EXTRA_INSTALL_BINARIES) -AC_SUBST(EXTRA_BUILD_HTML) -AC_SUBST(EXTRA_TCLSH_LIBS) - -AC_SUBST(DLTEST_LD) -AC_SUBST(DLTEST_SUFFIX) - -dnl Disable the automake-friendly normalization of LIBOBJS -dnl performed by autoconf 2.53 and later. It's not correct for us. -define([_AC_LIBOBJS_NORMALIZE],[]) -AC_CONFIG_FILES([ - Makefile:../unix/Makefile.in - dltest/Makefile:../unix/dltest/Makefile.in - tclConfig.sh:../unix/tclConfig.sh.in - tcl.pc:../unix/tcl.pc.in -]) -AC_OUTPUT - -dnl Local Variables: -dnl mode: autoconf -dnl End: diff --git a/unix/tclConfig.sh.in b/unix/tclConfig.sh.in index b58e9fd..27fd513 100644 --- a/unix/tclConfig.sh.in +++ b/unix/tclConfig.sh.in @@ -66,7 +66,7 @@ TCL_SHLIB_LD='@SHLIB_LD@' TCL_STLIB_LD='@STLIB_LD@' # Either '$LIBS' (if dependent libraries should be included when linking -# shared libraries) or an empty string. See Tcl's configure.in for more +# shared libraries) or an empty string. See Tcl's configure.ac for more # explanation. TCL_SHLIB_LD_LIBS='@SHLIB_LD_LIBS@' diff --git a/win/configure.ac b/win/configure.ac new file mode 100644 index 0000000..7405bf4 --- /dev/null +++ b/win/configure.ac @@ -0,0 +1,464 @@ +#! /bin/bash -norc +# This file is an input file used by the GNU "autoconf" program to +# generate the file "configure", which is run during Tcl installation +# to configure the system for the local environment. + +AC_INIT(../generic/tcl.h) +AC_PREREQ(2.69) + +# The following define is needed when building with Cygwin since newer +# versions of autoconf incorrectly set SHELL to /bin/bash instead of +# /bin/sh. The bash shell seems to suffer from some strange failures. +SHELL=/bin/sh + +TCL_VERSION=8.7 +TCL_MAJOR_VERSION=8 +TCL_MINOR_VERSION=7 +TCL_PATCH_LEVEL="a0" +VER=$TCL_MAJOR_VERSION$TCL_MINOR_VERSION + +TCL_DDE_VERSION=1.4 +TCL_DDE_MAJOR_VERSION=1 +TCL_DDE_MINOR_VERSION=4 +DDEVER=$TCL_DDE_MAJOR_VERSION$TCL_DDE_MINOR_VERSION + +TCL_REG_VERSION=1.3 +TCL_REG_MAJOR_VERSION=1 +TCL_REG_MINOR_VERSION=3 +REGVER=$TCL_REG_MAJOR_VERSION$TCL_REG_MINOR_VERSION + +PKG_CFG_ARGS=$@ + +#------------------------------------------------------------------------ +# Empty slate for bundled packages, to avoid stale configuration +#------------------------------------------------------------------------ +rm -Rf pkgs + +#------------------------------------------------------------------------ +# Handle the --prefix=... option +#------------------------------------------------------------------------ + +if test "${prefix}" = "NONE"; then + prefix=/usr/local +fi +if test "${exec_prefix}" = "NONE"; then + exec_prefix=$prefix +fi +# libdir must be a fully qualified path (not ${exec_prefix}/lib) +eval libdir="$libdir" + +#------------------------------------------------------------------------ +# Standard compiler checks +#------------------------------------------------------------------------ + +# If the user did not set CFLAGS, set it now to keep +# the AC_PROG_CC macro from adding "-g -O2". +if test "${CFLAGS+set}" != "set" ; then + CFLAGS="" +fi + +AC_PROG_CC +AC_C_INLINE +AC_HEADER_STDC + +AC_CHECK_TOOL(AR, ar) +AC_CHECK_TOOL(RANLIB, ranlib) +AC_CHECK_TOOL(RC, windres) + +#-------------------------------------------------------------------- +# Checks to see if the make program sets the $MAKE variable. +#-------------------------------------------------------------------- + +AC_PROG_MAKE_SET + +#-------------------------------------------------------------------- +# Determines the correct binary file extension (.o, .obj, .exe etc.) +#-------------------------------------------------------------------- + +AC_OBJEXT +AC_EXEEXT + +#-------------------------------------------------------------------- +# Check whether --enable-threads or --disable-threads was given. +#-------------------------------------------------------------------- + +SC_ENABLE_THREADS + +#------------------------------------------------------------------------ +# Embedded configuration information, encoding to use for the values, TIP #59 +#------------------------------------------------------------------------ + +SC_TCL_CFG_ENCODING + +#-------------------------------------------------------------------- +# The statements below define a collection of symbols related to +# building libtcl as a shared library instead of a static library. +#-------------------------------------------------------------------- + +SC_ENABLE_SHARED + +#-------------------------------------------------------------------- +# The statements below define a collection of compile flags. This +# macro depends on the value of SHARED_BUILD, and should be called +# after SC_ENABLE_SHARED checks the configure switches. +#-------------------------------------------------------------------- + +SC_CONFIG_CFLAGS + +# Cross-compiling +case ${host_alias} in +*mingw32*) + TCL_EXE="tclsh" + ;; +*) + TCL_EXE="TCL_LIBRARY=\"\${LIBRARY_DIR}\"; export TCL_LIBRARY; ./\${TCLSH}" + ;; +esac + +#------------------------------------------------------------------------ +# Add stuff for zlib; note that this is mostly done in the makefile now +# as we just assume that the platform hasn't got a usable z.lib +#------------------------------------------------------------------------ + +AS_IF([test "${enable_shared+set}" = "set"], [ + enableval="$enable_shared" + tcl_ok=$enableval +], [ + tcl_ok=yes +]) +AS_IF([test "$tcl_ok" = "yes"], [ + AC_SUBST(ZLIB_DLL_FILE,[\${ZLIB_DLL_FILE}]) + AS_IF([test "$do64bit" = "yes"], [ + AS_IF([test "$GCC" == "yes"],[ + AC_SUBST(ZLIB_LIBS,[\${ZLIB_DIR_NATIVE}/win64/libz.dll.a]) + ], [ + AC_SUBST(ZLIB_LIBS,[\${ZLIB_DIR_NATIVE}/win64/zdll.lib]) + ]) + ], [ + AC_SUBST(ZLIB_LIBS,[\${ZLIB_DIR_NATIVE}/win32/zdll.lib]) + ]) +], [ + AC_SUBST(ZLIB_OBJS,[\${ZLIB_OBJS}]) +]) +AC_DEFINE(HAVE_ZLIB, 1, [Is there an installed zlib?]) + +AC_CHECK_TYPE([intptr_t], [ + AC_DEFINE([HAVE_INTPTR_T], 1, [Do we have the intptr_t type?])], [ + AC_CACHE_CHECK([for pointer-size signed integer type], tcl_cv_intptr_t, [ + for tcl_cv_intptr_t in "int" "long" "long long" none; do + if test "$tcl_cv_intptr_t" != none; then + AC_COMPILE_IFELSE([AC_LANG_BOOL_COMPILE_TRY([AC_INCLUDES_DEFAULT], + [[sizeof (void *) <= sizeof ($tcl_cv_intptr_t)]])], + [tcl_ok=yes], [tcl_ok=no]) + test "$tcl_ok" = yes && break; fi + done]) + if test "$tcl_cv_intptr_t" != none; then + AC_DEFINE_UNQUOTED([intptr_t], [$tcl_cv_intptr_t], [Signed integer + type wide enough to hold a pointer.]) + fi +]) +AC_CHECK_TYPE([uintptr_t], [ + AC_DEFINE([HAVE_UINTPTR_T], 1, [Do we have the uintptr_t type?])], [ + AC_CACHE_CHECK([for pointer-size unsigned integer type], tcl_cv_uintptr_t, [ + for tcl_cv_uintptr_t in "unsigned int" "unsigned long" "unsigned long long" \ + none; do + if test "$tcl_cv_uintptr_t" != none; then + AC_COMPILE_IFELSE([AC_LANG_BOOL_COMPILE_TRY([AC_INCLUDES_DEFAULT], + [[sizeof (void *) <= sizeof ($tcl_cv_uintptr_t)]])], + [tcl_ok=yes], [tcl_ok=no]) + test "$tcl_ok" = yes && break; fi + done]) + if test "$tcl_cv_uintptr_t" != none; then + AC_DEFINE_UNQUOTED([uintptr_t], [$tcl_cv_uintptr_t], [Unsigned integer + type wide enough to hold a pointer.]) + fi +]) + +#-------------------------------------------------------------------- +# Perform additinal compiler tests. +#-------------------------------------------------------------------- + +# See if declarations like FINDEX_INFO_LEVELS are +# missing from winbase.h. This is known to be +# a problem with VC++ 5.2. + +AC_CACHE_CHECK(for FINDEX_INFO_LEVELS in winbase.h, + tcl_cv_findex_enums, +AC_TRY_COMPILE([ +#define WIN32_LEAN_AND_MEAN +#include +#undef WIN32_LEAN_AND_MEAN +], +[ + FINDEX_INFO_LEVELS i; + FINDEX_SEARCH_OPS j; +], + tcl_cv_findex_enums=yes, + tcl_cv_findex_enums=no) +) +if test "$tcl_cv_findex_enums" = "no"; then + AC_DEFINE(HAVE_NO_FINDEX_ENUMS, 1, + [Defined when enums are missing from winbase.h]) +fi + +# See if the compiler supports intrinsics. + +AC_CACHE_CHECK(for intrinsics support in compiler, + tcl_cv_intrinsics, +AC_TRY_LINK([ +#define WIN32_LEAN_AND_MEAN +#include +#undef WIN32_LEAN_AND_MEAN +#include +], +[ + __cpuidex(0,0,0); +], + tcl_cv_intrinsics=yes, + tcl_cv_intrinsics=no) +) +if test "$tcl_cv_intrinsics" = "yes"; then + AC_DEFINE(HAVE_INTRIN_H, 1, + [Defined when the compilers supports intrinsics]) +fi + +# See if the header file is present + +AC_CACHE_CHECK(for wspiapi.h, + tcl_cv_wspiapi_h, +AC_TRY_COMPILE([ +#include +], [], + tcl_cv_wspiapi_h=yes, + tcl_cv_wspiapi_h=no) +) +if test "$tcl_cv_wspiapi_h" = "yes"; then + AC_DEFINE(HAVE_WSPIAPI_H, 1, + [Defined when wspiapi.h exists]) +fi + +# See if declarations like FINDEX_INFO_LEVELS are +# missing from winbase.h. This is known to be +# a problem with VC++ 5.2. + +AC_CACHE_CHECK(for FINDEX_INFO_LEVELS in winbase.h, + tcl_cv_findex_enums, +AC_TRY_COMPILE([ +#define WIN32_LEAN_AND_MEAN +#include +#undef WIN32_LEAN_AND_MEAN +], +[ + FINDEX_INFO_LEVELS i; + FINDEX_SEARCH_OPS j; +], + tcl_cv_findex_enums=yes, + tcl_cv_findex_enums=no) +) +if test "$tcl_cv_findex_enums" = "no"; then + AC_DEFINE(HAVE_NO_FINDEX_ENUMS, 1, + [Defined when enums are missing from winbase.h]) +fi + +#-------------------------------------------------------------------- +# Set the default compiler switches based on the --enable-symbols +# option. This macro depends on C flags, and should be called +# after SC_CONFIG_CFLAGS macro is called. +#-------------------------------------------------------------------- + +SC_ENABLE_SYMBOLS + +TCL_DBGX=${DBGX} + +#-------------------------------------------------------------------- +# Embed the manifest if we can determine how +#-------------------------------------------------------------------- + +SC_EMBED_MANIFEST + +#------------------------------------------------------------------------ +# tclConfig.sh refers to this by a different name +#------------------------------------------------------------------------ + +TCL_SHARED_BUILD=${SHARED_BUILD} + +#-------------------------------------------------------------------- +# Perform final evaluations of variables with possible substitutions. +#-------------------------------------------------------------------- + +TCL_SHARED_LIB_SUFFIX="\${NODOT_VERSION}${DLLSUFFIX}" +TCL_UNSHARED_LIB_SUFFIX="\${NODOT_VERSION}${LIBSUFFIX}" +TCL_EXPORT_FILE_SUFFIX="\${NODOT_VERSION}${LIBSUFFIX}" + +eval "TCL_SRC_DIR=\"`cd $srcdir/..; $CYGPATH $(pwd)`\"" + +eval "TCL_DLL_FILE=tcl${VER}${DLLSUFFIX}" + +eval "TCL_STUB_LIB_FILE=\"${LIBPREFIX}tclstub${VER}${LIBSUFFIX}\"" +eval "TCL_STUB_LIB_FLAG=\"-ltclstub${VER}${LIBFLAGSUFFIX}\"" +eval "TCL_BUILD_STUB_LIB_SPEC=\"-L`$CYGPATH $(pwd)` ${TCL_STUB_LIB_FLAG}\"" +eval "TCL_STUB_LIB_SPEC=\"-L${libdir} ${TCL_STUB_LIB_FLAG}\"" +eval "TCL_BUILD_STUB_LIB_PATH=\"`$CYGPATH $(pwd)`/${TCL_STUB_LIB_FILE}\"" +eval "TCL_STUB_LIB_PATH=\"${libdir}/${TCL_STUB_LIB_FILE}\"" + +eval "TCL_LIB_FILE=\"${LIBPREFIX}tcl${VER}${LIBSUFFIX}\"" +eval "TCL_BUILD_LIB_SPEC=\"-L`$CYGPATH $(pwd)` -ltcl${VER}${FLAGSUFFIX}\"" +eval "TCL_LIB_SPEC=\"-L${libdir} -ltcl${VER}${FLAGSUFFIX}\"" + +# Install time header dir can be set via --includedir +eval "TCL_INCLUDE_SPEC=\"-I${includedir}\"" + + +eval "DLLSUFFIX=${DLLSUFFIX}" +eval "LIBPREFIX=${LIBPREFIX}" +eval "LIBSUFFIX=${LIBSUFFIX}" +eval "EXESUFFIX=${EXESUFFIX}" + +CFG_TCL_SHARED_LIB_SUFFIX=${TCL_SHARED_LIB_SUFFIX} +CFG_TCL_UNSHARED_LIB_SUFFIX=${TCL_UNSHARED_LIB_SUFFIX} +CFG_TCL_EXPORT_FILE_SUFFIX=${TCL_EXPORT_FILE_SUFFIX} + +#-------------------------------------------------------------------- +# Adjust the defines for how the resources are built depending +# on symbols and static vs. shared. +#-------------------------------------------------------------------- + +if test ${SHARED_BUILD} = 0 ; then + if test "${DBGX}" = "g"; then + RC_DEFINES="${RC_DEFINE} STATIC_BUILD ${RC_DEFINE} DEBUG" + else + RC_DEFINES="${RC_DEFINE} STATIC_BUILD" + fi +else + if test "${DBGX}" = "g"; then + RC_DEFINES="${RC_DEFINE} DEBUG" + else + RC_DEFINES="" + fi +fi + +#-------------------------------------------------------------------- +# The statements below define the symbol TCL_PACKAGE_PATH, which +# gives a list of directories that may contain packages. The list +# consists of one directory for machine-dependent binaries and +# another for platform-independent scripts. +#-------------------------------------------------------------------- + +if test "$prefix/lib" != "$libdir"; then + TCL_PACKAGE_PATH="${libdir} ${prefix}/lib" +else + TCL_PACKAGE_PATH="${prefix}/lib" +fi + +# The tclsh.exe.manifest requires these +# TCL_WIN_VERSION is the 4 dotted pair Windows version format which needs +# the release level, and must account for interim release versioning +case "$TCL_PATCH_LEVEL" in + *a*) TCL_RELEASE_LEVEL=0 ;; + *b*) TCL_RELEASE_LEVEL=1 ;; + *) TCL_RELEASE_LEVEL=2 ;; +esac +TCL_WIN_VERSION="$TCL_VERSION.$TCL_RELEASE_LEVEL.`echo $TCL_PATCH_LEVEL | tr -d ab.`" +AC_SUBST(TCL_WIN_VERSION) +# X86|AMD64|IA64 for manifest +AC_SUBST(MACHINE) + +AC_SUBST(TCL_VERSION) +AC_SUBST(TCL_MAJOR_VERSION) +AC_SUBST(TCL_MINOR_VERSION) +AC_SUBST(TCL_PATCH_LEVEL) +AC_SUBST(PKG_CFG_ARGS) +AC_SUBST(TCL_EXE) + +AC_SUBST(TCL_LIB_FILE) +AC_SUBST(TCL_LIB_FLAG) +AC_SUBST(TCL_STATIC_LIB_FILE) +AC_SUBST(TCL_STATIC_LIB_FLAG) +AC_SUBST(TCL_IMPORT_LIB_FILE) +AC_SUBST(TCL_IMPORT_LIB_FLAG) +# empty on win +AC_SUBST(TCL_LIB_SPEC) +AC_SUBST(TCL_STUB_LIB_FILE) +AC_SUBST(TCL_STUB_LIB_FLAG) +AC_SUBST(TCL_STUB_LIB_SPEC) +AC_SUBST(TCL_STUB_LIB_PATH) +AC_SUBST(TCL_INCLUDE_SPEC) +AC_SUBST(TCL_BUILD_STUB_LIB_SPEC) +AC_SUBST(TCL_BUILD_STUB_LIB_PATH) +AC_SUBST(TCL_DLL_FILE) + +AC_SUBST(TCL_SRC_DIR) +AC_SUBST(TCL_BIN_DIR) +AC_SUBST(TCL_DBGX) +AC_SUBST(CFG_TCL_SHARED_LIB_SUFFIX) +AC_SUBST(CFG_TCL_UNSHARED_LIB_SUFFIX) +AC_SUBST(CFG_TCL_EXPORT_FILE_SUFFIX) + +# win/tcl.m4 doesn't set (CFLAGS) +AC_SUBST(CFLAGS_DEFAULT) +AC_SUBST(EXTRA_CFLAGS) +AC_SUBST(CYGPATH) +AC_SUBST(DEPARG) +AC_SUBST(CC_OBJNAME) +AC_SUBST(CC_EXENAME) + +# win/tcl.m4 doesn't set (LDFLAGS) +AC_SUBST(LDFLAGS_DEFAULT) +AC_SUBST(LDFLAGS_DEBUG) +AC_SUBST(LDFLAGS_OPTIMIZE) +AC_SUBST(LDFLAGS_CONSOLE) +AC_SUBST(LDFLAGS_WINDOW) +AC_SUBST(AR) +AC_SUBST(RANLIB) + +AC_SUBST(STLIB_LD) +AC_SUBST(SHLIB_LD) +AC_SUBST(SHLIB_LD_LIBS) +AC_SUBST(SHLIB_CFLAGS) +AC_SUBST(SHLIB_SUFFIX) +AC_SUBST(TCL_SHARED_BUILD) + +AC_SUBST(LIBS) +AC_SUBST(LIBS_GUI) +AC_SUBST(DLLSUFFIX) +AC_SUBST(LIBPREFIX) +AC_SUBST(LIBSUFFIX) +AC_SUBST(EXESUFFIX) +AC_SUBST(LIBRARIES) +AC_SUBST(MAKE_LIB) +AC_SUBST(MAKE_STUB_LIB) +AC_SUBST(POST_MAKE_LIB) +AC_SUBST(MAKE_DLL) +AC_SUBST(MAKE_EXE) + +# empty on win, but needs sub'ing +AC_SUBST(TCL_BUILD_LIB_SPEC) +AC_SUBST(TCL_LD_SEARCH_FLAGS) +AC_SUBST(TCL_NEEDS_EXP_FILE) +AC_SUBST(TCL_BUILD_EXP_FILE) +AC_SUBST(TCL_EXP_FILE) +AC_SUBST(DL_LIBS) +AC_SUBST(TCL_LIB_VERSIONS_OK) +AC_SUBST(TCL_PACKAGE_PATH) + +# win only +AC_SUBST(TCL_DDE_VERSION) +AC_SUBST(TCL_DDE_MAJOR_VERSION) +AC_SUBST(TCL_DDE_MINOR_VERSION) +AC_SUBST(TCL_REG_VERSION) +AC_SUBST(TCL_REG_MAJOR_VERSION) +AC_SUBST(TCL_REG_MINOR_VERSION) + +AC_SUBST(RC) +AC_SUBST(RC_OUT) +AC_SUBST(RC_TYPE) +AC_SUBST(RC_INCLUDE) +AC_SUBST(RC_DEFINE) +AC_SUBST(RC_DEFINES) +AC_SUBST(RES) + +AC_OUTPUT(Makefile tclConfig.sh tcl.hpj tclsh.exe.manifest) + +dnl Local Variables: +dnl mode: autoconf; +dnl End: diff --git a/win/configure.in b/win/configure.in deleted file mode 100644 index 7405bf4..0000000 --- a/win/configure.in +++ /dev/null @@ -1,464 +0,0 @@ -#! /bin/bash -norc -# This file is an input file used by the GNU "autoconf" program to -# generate the file "configure", which is run during Tcl installation -# to configure the system for the local environment. - -AC_INIT(../generic/tcl.h) -AC_PREREQ(2.69) - -# The following define is needed when building with Cygwin since newer -# versions of autoconf incorrectly set SHELL to /bin/bash instead of -# /bin/sh. The bash shell seems to suffer from some strange failures. -SHELL=/bin/sh - -TCL_VERSION=8.7 -TCL_MAJOR_VERSION=8 -TCL_MINOR_VERSION=7 -TCL_PATCH_LEVEL="a0" -VER=$TCL_MAJOR_VERSION$TCL_MINOR_VERSION - -TCL_DDE_VERSION=1.4 -TCL_DDE_MAJOR_VERSION=1 -TCL_DDE_MINOR_VERSION=4 -DDEVER=$TCL_DDE_MAJOR_VERSION$TCL_DDE_MINOR_VERSION - -TCL_REG_VERSION=1.3 -TCL_REG_MAJOR_VERSION=1 -TCL_REG_MINOR_VERSION=3 -REGVER=$TCL_REG_MAJOR_VERSION$TCL_REG_MINOR_VERSION - -PKG_CFG_ARGS=$@ - -#------------------------------------------------------------------------ -# Empty slate for bundled packages, to avoid stale configuration -#------------------------------------------------------------------------ -rm -Rf pkgs - -#------------------------------------------------------------------------ -# Handle the --prefix=... option -#------------------------------------------------------------------------ - -if test "${prefix}" = "NONE"; then - prefix=/usr/local -fi -if test "${exec_prefix}" = "NONE"; then - exec_prefix=$prefix -fi -# libdir must be a fully qualified path (not ${exec_prefix}/lib) -eval libdir="$libdir" - -#------------------------------------------------------------------------ -# Standard compiler checks -#------------------------------------------------------------------------ - -# If the user did not set CFLAGS, set it now to keep -# the AC_PROG_CC macro from adding "-g -O2". -if test "${CFLAGS+set}" != "set" ; then - CFLAGS="" -fi - -AC_PROG_CC -AC_C_INLINE -AC_HEADER_STDC - -AC_CHECK_TOOL(AR, ar) -AC_CHECK_TOOL(RANLIB, ranlib) -AC_CHECK_TOOL(RC, windres) - -#-------------------------------------------------------------------- -# Checks to see if the make program sets the $MAKE variable. -#-------------------------------------------------------------------- - -AC_PROG_MAKE_SET - -#-------------------------------------------------------------------- -# Determines the correct binary file extension (.o, .obj, .exe etc.) -#-------------------------------------------------------------------- - -AC_OBJEXT -AC_EXEEXT - -#-------------------------------------------------------------------- -# Check whether --enable-threads or --disable-threads was given. -#-------------------------------------------------------------------- - -SC_ENABLE_THREADS - -#------------------------------------------------------------------------ -# Embedded configuration information, encoding to use for the values, TIP #59 -#------------------------------------------------------------------------ - -SC_TCL_CFG_ENCODING - -#-------------------------------------------------------------------- -# The statements below define a collection of symbols related to -# building libtcl as a shared library instead of a static library. -#-------------------------------------------------------------------- - -SC_ENABLE_SHARED - -#-------------------------------------------------------------------- -# The statements below define a collection of compile flags. This -# macro depends on the value of SHARED_BUILD, and should be called -# after SC_ENABLE_SHARED checks the configure switches. -#-------------------------------------------------------------------- - -SC_CONFIG_CFLAGS - -# Cross-compiling -case ${host_alias} in -*mingw32*) - TCL_EXE="tclsh" - ;; -*) - TCL_EXE="TCL_LIBRARY=\"\${LIBRARY_DIR}\"; export TCL_LIBRARY; ./\${TCLSH}" - ;; -esac - -#------------------------------------------------------------------------ -# Add stuff for zlib; note that this is mostly done in the makefile now -# as we just assume that the platform hasn't got a usable z.lib -#------------------------------------------------------------------------ - -AS_IF([test "${enable_shared+set}" = "set"], [ - enableval="$enable_shared" - tcl_ok=$enableval -], [ - tcl_ok=yes -]) -AS_IF([test "$tcl_ok" = "yes"], [ - AC_SUBST(ZLIB_DLL_FILE,[\${ZLIB_DLL_FILE}]) - AS_IF([test "$do64bit" = "yes"], [ - AS_IF([test "$GCC" == "yes"],[ - AC_SUBST(ZLIB_LIBS,[\${ZLIB_DIR_NATIVE}/win64/libz.dll.a]) - ], [ - AC_SUBST(ZLIB_LIBS,[\${ZLIB_DIR_NATIVE}/win64/zdll.lib]) - ]) - ], [ - AC_SUBST(ZLIB_LIBS,[\${ZLIB_DIR_NATIVE}/win32/zdll.lib]) - ]) -], [ - AC_SUBST(ZLIB_OBJS,[\${ZLIB_OBJS}]) -]) -AC_DEFINE(HAVE_ZLIB, 1, [Is there an installed zlib?]) - -AC_CHECK_TYPE([intptr_t], [ - AC_DEFINE([HAVE_INTPTR_T], 1, [Do we have the intptr_t type?])], [ - AC_CACHE_CHECK([for pointer-size signed integer type], tcl_cv_intptr_t, [ - for tcl_cv_intptr_t in "int" "long" "long long" none; do - if test "$tcl_cv_intptr_t" != none; then - AC_COMPILE_IFELSE([AC_LANG_BOOL_COMPILE_TRY([AC_INCLUDES_DEFAULT], - [[sizeof (void *) <= sizeof ($tcl_cv_intptr_t)]])], - [tcl_ok=yes], [tcl_ok=no]) - test "$tcl_ok" = yes && break; fi - done]) - if test "$tcl_cv_intptr_t" != none; then - AC_DEFINE_UNQUOTED([intptr_t], [$tcl_cv_intptr_t], [Signed integer - type wide enough to hold a pointer.]) - fi -]) -AC_CHECK_TYPE([uintptr_t], [ - AC_DEFINE([HAVE_UINTPTR_T], 1, [Do we have the uintptr_t type?])], [ - AC_CACHE_CHECK([for pointer-size unsigned integer type], tcl_cv_uintptr_t, [ - for tcl_cv_uintptr_t in "unsigned int" "unsigned long" "unsigned long long" \ - none; do - if test "$tcl_cv_uintptr_t" != none; then - AC_COMPILE_IFELSE([AC_LANG_BOOL_COMPILE_TRY([AC_INCLUDES_DEFAULT], - [[sizeof (void *) <= sizeof ($tcl_cv_uintptr_t)]])], - [tcl_ok=yes], [tcl_ok=no]) - test "$tcl_ok" = yes && break; fi - done]) - if test "$tcl_cv_uintptr_t" != none; then - AC_DEFINE_UNQUOTED([uintptr_t], [$tcl_cv_uintptr_t], [Unsigned integer - type wide enough to hold a pointer.]) - fi -]) - -#-------------------------------------------------------------------- -# Perform additinal compiler tests. -#-------------------------------------------------------------------- - -# See if declarations like FINDEX_INFO_LEVELS are -# missing from winbase.h. This is known to be -# a problem with VC++ 5.2. - -AC_CACHE_CHECK(for FINDEX_INFO_LEVELS in winbase.h, - tcl_cv_findex_enums, -AC_TRY_COMPILE([ -#define WIN32_LEAN_AND_MEAN -#include -#undef WIN32_LEAN_AND_MEAN -], -[ - FINDEX_INFO_LEVELS i; - FINDEX_SEARCH_OPS j; -], - tcl_cv_findex_enums=yes, - tcl_cv_findex_enums=no) -) -if test "$tcl_cv_findex_enums" = "no"; then - AC_DEFINE(HAVE_NO_FINDEX_ENUMS, 1, - [Defined when enums are missing from winbase.h]) -fi - -# See if the compiler supports intrinsics. - -AC_CACHE_CHECK(for intrinsics support in compiler, - tcl_cv_intrinsics, -AC_TRY_LINK([ -#define WIN32_LEAN_AND_MEAN -#include -#undef WIN32_LEAN_AND_MEAN -#include -], -[ - __cpuidex(0,0,0); -], - tcl_cv_intrinsics=yes, - tcl_cv_intrinsics=no) -) -if test "$tcl_cv_intrinsics" = "yes"; then - AC_DEFINE(HAVE_INTRIN_H, 1, - [Defined when the compilers supports intrinsics]) -fi - -# See if the header file is present - -AC_CACHE_CHECK(for wspiapi.h, - tcl_cv_wspiapi_h, -AC_TRY_COMPILE([ -#include -], [], - tcl_cv_wspiapi_h=yes, - tcl_cv_wspiapi_h=no) -) -if test "$tcl_cv_wspiapi_h" = "yes"; then - AC_DEFINE(HAVE_WSPIAPI_H, 1, - [Defined when wspiapi.h exists]) -fi - -# See if declarations like FINDEX_INFO_LEVELS are -# missing from winbase.h. This is known to be -# a problem with VC++ 5.2. - -AC_CACHE_CHECK(for FINDEX_INFO_LEVELS in winbase.h, - tcl_cv_findex_enums, -AC_TRY_COMPILE([ -#define WIN32_LEAN_AND_MEAN -#include -#undef WIN32_LEAN_AND_MEAN -], -[ - FINDEX_INFO_LEVELS i; - FINDEX_SEARCH_OPS j; -], - tcl_cv_findex_enums=yes, - tcl_cv_findex_enums=no) -) -if test "$tcl_cv_findex_enums" = "no"; then - AC_DEFINE(HAVE_NO_FINDEX_ENUMS, 1, - [Defined when enums are missing from winbase.h]) -fi - -#-------------------------------------------------------------------- -# Set the default compiler switches based on the --enable-symbols -# option. This macro depends on C flags, and should be called -# after SC_CONFIG_CFLAGS macro is called. -#-------------------------------------------------------------------- - -SC_ENABLE_SYMBOLS - -TCL_DBGX=${DBGX} - -#-------------------------------------------------------------------- -# Embed the manifest if we can determine how -#-------------------------------------------------------------------- - -SC_EMBED_MANIFEST - -#------------------------------------------------------------------------ -# tclConfig.sh refers to this by a different name -#------------------------------------------------------------------------ - -TCL_SHARED_BUILD=${SHARED_BUILD} - -#-------------------------------------------------------------------- -# Perform final evaluations of variables with possible substitutions. -#-------------------------------------------------------------------- - -TCL_SHARED_LIB_SUFFIX="\${NODOT_VERSION}${DLLSUFFIX}" -TCL_UNSHARED_LIB_SUFFIX="\${NODOT_VERSION}${LIBSUFFIX}" -TCL_EXPORT_FILE_SUFFIX="\${NODOT_VERSION}${LIBSUFFIX}" - -eval "TCL_SRC_DIR=\"`cd $srcdir/..; $CYGPATH $(pwd)`\"" - -eval "TCL_DLL_FILE=tcl${VER}${DLLSUFFIX}" - -eval "TCL_STUB_LIB_FILE=\"${LIBPREFIX}tclstub${VER}${LIBSUFFIX}\"" -eval "TCL_STUB_LIB_FLAG=\"-ltclstub${VER}${LIBFLAGSUFFIX}\"" -eval "TCL_BUILD_STUB_LIB_SPEC=\"-L`$CYGPATH $(pwd)` ${TCL_STUB_LIB_FLAG}\"" -eval "TCL_STUB_LIB_SPEC=\"-L${libdir} ${TCL_STUB_LIB_FLAG}\"" -eval "TCL_BUILD_STUB_LIB_PATH=\"`$CYGPATH $(pwd)`/${TCL_STUB_LIB_FILE}\"" -eval "TCL_STUB_LIB_PATH=\"${libdir}/${TCL_STUB_LIB_FILE}\"" - -eval "TCL_LIB_FILE=\"${LIBPREFIX}tcl${VER}${LIBSUFFIX}\"" -eval "TCL_BUILD_LIB_SPEC=\"-L`$CYGPATH $(pwd)` -ltcl${VER}${FLAGSUFFIX}\"" -eval "TCL_LIB_SPEC=\"-L${libdir} -ltcl${VER}${FLAGSUFFIX}\"" - -# Install time header dir can be set via --includedir -eval "TCL_INCLUDE_SPEC=\"-I${includedir}\"" - - -eval "DLLSUFFIX=${DLLSUFFIX}" -eval "LIBPREFIX=${LIBPREFIX}" -eval "LIBSUFFIX=${LIBSUFFIX}" -eval "EXESUFFIX=${EXESUFFIX}" - -CFG_TCL_SHARED_LIB_SUFFIX=${TCL_SHARED_LIB_SUFFIX} -CFG_TCL_UNSHARED_LIB_SUFFIX=${TCL_UNSHARED_LIB_SUFFIX} -CFG_TCL_EXPORT_FILE_SUFFIX=${TCL_EXPORT_FILE_SUFFIX} - -#-------------------------------------------------------------------- -# Adjust the defines for how the resources are built depending -# on symbols and static vs. shared. -#-------------------------------------------------------------------- - -if test ${SHARED_BUILD} = 0 ; then - if test "${DBGX}" = "g"; then - RC_DEFINES="${RC_DEFINE} STATIC_BUILD ${RC_DEFINE} DEBUG" - else - RC_DEFINES="${RC_DEFINE} STATIC_BUILD" - fi -else - if test "${DBGX}" = "g"; then - RC_DEFINES="${RC_DEFINE} DEBUG" - else - RC_DEFINES="" - fi -fi - -#-------------------------------------------------------------------- -# The statements below define the symbol TCL_PACKAGE_PATH, which -# gives a list of directories that may contain packages. The list -# consists of one directory for machine-dependent binaries and -# another for platform-independent scripts. -#-------------------------------------------------------------------- - -if test "$prefix/lib" != "$libdir"; then - TCL_PACKAGE_PATH="${libdir} ${prefix}/lib" -else - TCL_PACKAGE_PATH="${prefix}/lib" -fi - -# The tclsh.exe.manifest requires these -# TCL_WIN_VERSION is the 4 dotted pair Windows version format which needs -# the release level, and must account for interim release versioning -case "$TCL_PATCH_LEVEL" in - *a*) TCL_RELEASE_LEVEL=0 ;; - *b*) TCL_RELEASE_LEVEL=1 ;; - *) TCL_RELEASE_LEVEL=2 ;; -esac -TCL_WIN_VERSION="$TCL_VERSION.$TCL_RELEASE_LEVEL.`echo $TCL_PATCH_LEVEL | tr -d ab.`" -AC_SUBST(TCL_WIN_VERSION) -# X86|AMD64|IA64 for manifest -AC_SUBST(MACHINE) - -AC_SUBST(TCL_VERSION) -AC_SUBST(TCL_MAJOR_VERSION) -AC_SUBST(TCL_MINOR_VERSION) -AC_SUBST(TCL_PATCH_LEVEL) -AC_SUBST(PKG_CFG_ARGS) -AC_SUBST(TCL_EXE) - -AC_SUBST(TCL_LIB_FILE) -AC_SUBST(TCL_LIB_FLAG) -AC_SUBST(TCL_STATIC_LIB_FILE) -AC_SUBST(TCL_STATIC_LIB_FLAG) -AC_SUBST(TCL_IMPORT_LIB_FILE) -AC_SUBST(TCL_IMPORT_LIB_FLAG) -# empty on win -AC_SUBST(TCL_LIB_SPEC) -AC_SUBST(TCL_STUB_LIB_FILE) -AC_SUBST(TCL_STUB_LIB_FLAG) -AC_SUBST(TCL_STUB_LIB_SPEC) -AC_SUBST(TCL_STUB_LIB_PATH) -AC_SUBST(TCL_INCLUDE_SPEC) -AC_SUBST(TCL_BUILD_STUB_LIB_SPEC) -AC_SUBST(TCL_BUILD_STUB_LIB_PATH) -AC_SUBST(TCL_DLL_FILE) - -AC_SUBST(TCL_SRC_DIR) -AC_SUBST(TCL_BIN_DIR) -AC_SUBST(TCL_DBGX) -AC_SUBST(CFG_TCL_SHARED_LIB_SUFFIX) -AC_SUBST(CFG_TCL_UNSHARED_LIB_SUFFIX) -AC_SUBST(CFG_TCL_EXPORT_FILE_SUFFIX) - -# win/tcl.m4 doesn't set (CFLAGS) -AC_SUBST(CFLAGS_DEFAULT) -AC_SUBST(EXTRA_CFLAGS) -AC_SUBST(CYGPATH) -AC_SUBST(DEPARG) -AC_SUBST(CC_OBJNAME) -AC_SUBST(CC_EXENAME) - -# win/tcl.m4 doesn't set (LDFLAGS) -AC_SUBST(LDFLAGS_DEFAULT) -AC_SUBST(LDFLAGS_DEBUG) -AC_SUBST(LDFLAGS_OPTIMIZE) -AC_SUBST(LDFLAGS_CONSOLE) -AC_SUBST(LDFLAGS_WINDOW) -AC_SUBST(AR) -AC_SUBST(RANLIB) - -AC_SUBST(STLIB_LD) -AC_SUBST(SHLIB_LD) -AC_SUBST(SHLIB_LD_LIBS) -AC_SUBST(SHLIB_CFLAGS) -AC_SUBST(SHLIB_SUFFIX) -AC_SUBST(TCL_SHARED_BUILD) - -AC_SUBST(LIBS) -AC_SUBST(LIBS_GUI) -AC_SUBST(DLLSUFFIX) -AC_SUBST(LIBPREFIX) -AC_SUBST(LIBSUFFIX) -AC_SUBST(EXESUFFIX) -AC_SUBST(LIBRARIES) -AC_SUBST(MAKE_LIB) -AC_SUBST(MAKE_STUB_LIB) -AC_SUBST(POST_MAKE_LIB) -AC_SUBST(MAKE_DLL) -AC_SUBST(MAKE_EXE) - -# empty on win, but needs sub'ing -AC_SUBST(TCL_BUILD_LIB_SPEC) -AC_SUBST(TCL_LD_SEARCH_FLAGS) -AC_SUBST(TCL_NEEDS_EXP_FILE) -AC_SUBST(TCL_BUILD_EXP_FILE) -AC_SUBST(TCL_EXP_FILE) -AC_SUBST(DL_LIBS) -AC_SUBST(TCL_LIB_VERSIONS_OK) -AC_SUBST(TCL_PACKAGE_PATH) - -# win only -AC_SUBST(TCL_DDE_VERSION) -AC_SUBST(TCL_DDE_MAJOR_VERSION) -AC_SUBST(TCL_DDE_MINOR_VERSION) -AC_SUBST(TCL_REG_VERSION) -AC_SUBST(TCL_REG_MAJOR_VERSION) -AC_SUBST(TCL_REG_MINOR_VERSION) - -AC_SUBST(RC) -AC_SUBST(RC_OUT) -AC_SUBST(RC_TYPE) -AC_SUBST(RC_INCLUDE) -AC_SUBST(RC_DEFINE) -AC_SUBST(RC_DEFINES) -AC_SUBST(RES) - -AC_OUTPUT(Makefile tclConfig.sh tcl.hpj tclsh.exe.manifest) - -dnl Local Variables: -dnl mode: autoconf; -dnl End: diff --git a/win/tcl.dsp b/win/tcl.dsp index 96d5893..9ea990b 100644 --- a/win/tcl.dsp +++ b/win/tcl.dsp @@ -1424,7 +1424,7 @@ SOURCE=.\configure # End Source File # Begin Source File -SOURCE=.\configure.in +SOURCE=.\configure.ac # End Source File # Begin Source File diff --git a/win/tclConfig.sh.in b/win/tclConfig.sh.in index 75324b2..b060370 100644 --- a/win/tclConfig.sh.in +++ b/win/tclConfig.sh.in @@ -77,7 +77,7 @@ TCL_SHLIB_LD='@SHLIB_LD@' TCL_STLIB_LD='@STLIB_LD@' # Either '$LIBS' (if dependent libraries should be included when linking -# shared libraries) or an empty string. See Tcl's configure.in for more +# shared libraries) or an empty string. See Tcl's configure.ac for more # explanation. TCL_SHLIB_LD_LIBS='@SHLIB_LD_LIBS@' -- cgit v0.12 From 3cd08b4cddcfa292ba21ebbf490fb4b5189e41bb Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 8 Mar 2016 15:31:06 +0000 Subject: Eliminate exess spacings in remaining doc pages --- doc/CallDel.3 | 2 +- doc/CmdCmplt.3 | 2 +- doc/Concat.3 | 2 +- doc/CrtFileHdlr.3 | 2 +- doc/CrtInterp.3 | 2 +- doc/CrtTimerHdlr.3 | 2 +- doc/DetachPids.3 | 2 +- doc/DictObj.3 | 2 +- doc/DoWhenIdle.3 | 2 +- doc/Environment.3 | 2 +- doc/ExprLongObj.3 | 2 +- doc/FindExec.3 | 2 +- doc/GetCwd.3 | 2 +- doc/GetIndex.3 | 2 +- doc/GetInt.3 | 2 +- doc/GetOpnFl.3 | 2 +- doc/GetTime.3 | 2 +- doc/Init.3 | 2 +- doc/InitStubs.3 | 2 +- doc/Limit.3 | 2 +- doc/LinkVar.3 | 2 +- doc/Load.3 | 2 +- doc/Namespace.3 | 4 ++-- doc/OpenTcp.3 | 2 +- doc/ParseArgs.3 | 2 +- doc/Preserve.3 | 2 +- doc/PrintDbl.3 | 2 +- doc/RecEvalObj.3 | 2 +- doc/RecordEval.3 | 2 +- doc/SetErrno.3 | 2 +- doc/SetRecLmt.3 | 2 +- doc/Signal.3 | 2 +- doc/Sleep.3 | 2 +- doc/SplitList.3 | 2 +- doc/SplitPath.3 | 2 +- doc/StaticPkg.3 | 2 +- doc/StdChannels.3 | 2 +- doc/StrMatch.3 | 2 +- doc/SubstObj.3 | 2 +- doc/TCL_MEM_DEBUG.3 | 4 ++-- doc/TclZlib.3 | 2 +- doc/break.n | 2 +- doc/case.n | 2 +- doc/cd.n | 2 +- doc/close.n | 2 +- doc/concat.n | 2 +- doc/continue.n | 2 +- doc/coroutine.n | 2 +- doc/eof.n | 2 +- doc/eval.n | 2 +- doc/exit.n | 2 +- doc/fblocked.n | 2 +- doc/flush.n | 2 +- doc/foreach.n | 2 +- doc/gets.n | 2 +- doc/history.n | 2 +- doc/if.n | 2 +- doc/incr.n | 2 +- doc/info.n | 2 +- doc/interp.n | 2 +- doc/join.n | 2 +- doc/lappend.n | 2 +- doc/lassign.n | 2 +- doc/list.n | 2 +- doc/load.n | 2 +- doc/lrepeat.n | 2 +- doc/lreverse.n | 2 +- doc/namespace.n | 2 +- doc/next.n | 2 +- doc/packagens.n | 2 +- doc/pid.n | 2 +- doc/platform.n | 2 +- doc/platform_shell.n | 2 +- doc/prefix.n | 2 +- doc/puts.n | 2 +- doc/pwd.n | 2 +- doc/refchan.n | 2 +- doc/registry.n | 2 +- doc/rename.n | 2 +- doc/seek.n | 2 +- doc/source.n | 2 +- doc/split.n | 2 +- doc/switch.n | 2 +- doc/tailcall.n | 2 +- doc/tclsh.1 | 2 +- doc/tell.n | 2 +- doc/throw.n | 2 +- doc/time.n | 2 +- doc/tm.n | 2 +- 89 files changed, 91 insertions(+), 91 deletions(-) diff --git a/doc/CallDel.3 b/doc/CallDel.3 index 766621a..33b8afc 100644 --- a/doc/CallDel.3 +++ b/doc/CallDel.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_CallWhenDeleted 3 7.0 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/CmdCmplt.3 b/doc/CmdCmplt.3 index 25b372e..bb7532c 100644 --- a/doc/CmdCmplt.3 +++ b/doc/CmdCmplt.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_CommandComplete 3 "" Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/Concat.3 b/doc/Concat.3 index 58a0fb6..e853fc3 100644 --- a/doc/Concat.3 +++ b/doc/Concat.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_Concat 3 7.5 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/CrtFileHdlr.3 b/doc/CrtFileHdlr.3 index c1bc1fa..f1b8df7 100644 --- a/doc/CrtFileHdlr.3 +++ b/doc/CrtFileHdlr.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_CreateFileHandler 3 8.0 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/CrtInterp.3 b/doc/CrtInterp.3 index 679795e..1d49158 100644 --- a/doc/CrtInterp.3 +++ b/doc/CrtInterp.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_CreateInterp 3 7.5 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/CrtTimerHdlr.3 b/doc/CrtTimerHdlr.3 index f3957c7..c229a23 100644 --- a/doc/CrtTimerHdlr.3 +++ b/doc/CrtTimerHdlr.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_CreateTimerHandler 3 7.5 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/DetachPids.3 b/doc/DetachPids.3 index 39a51d3..26075c3 100644 --- a/doc/DetachPids.3 +++ b/doc/DetachPids.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_DetachPids 3 "" Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/DictObj.3 b/doc/DictObj.3 index 90ca9e3..2c111c4 100644 --- a/doc/DictObj.3 +++ b/doc/DictObj.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_DictObj 3 8.5 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/DoWhenIdle.3 b/doc/DoWhenIdle.3 index 3e28b4d..cfdbff9 100644 --- a/doc/DoWhenIdle.3 +++ b/doc/DoWhenIdle.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_DoWhenIdle 3 7.5 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/Environment.3 b/doc/Environment.3 index 85880b4..7a5e396 100644 --- a/doc/Environment.3 +++ b/doc/Environment.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_PutEnv 3 "7.5" Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/ExprLongObj.3 b/doc/ExprLongObj.3 index 35edb5f..837e0a8 100644 --- a/doc/ExprLongObj.3 +++ b/doc/ExprLongObj.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_ExprLongObj 3 8.0 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/FindExec.3 b/doc/FindExec.3 index b01315c..1fd57db 100644 --- a/doc/FindExec.3 +++ b/doc/FindExec.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_FindExecutable 3 8.1 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/GetCwd.3 b/doc/GetCwd.3 index 58abcde..f4f37a1 100644 --- a/doc/GetCwd.3 +++ b/doc/GetCwd.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_GetCwd 3 8.1 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/GetIndex.3 b/doc/GetIndex.3 index fc6f40b..17a31d4 100644 --- a/doc/GetIndex.3 +++ b/doc/GetIndex.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_GetIndexFromObj 3 8.1 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/GetInt.3 b/doc/GetInt.3 index 4e9d636..871f483 100644 --- a/doc/GetInt.3 +++ b/doc/GetInt.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_GetInt 3 "" Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/GetOpnFl.3 b/doc/GetOpnFl.3 index 86d1b94..a450b02 100644 --- a/doc/GetOpnFl.3 +++ b/doc/GetOpnFl.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_GetOpenFile 3 8.0 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/GetTime.3 b/doc/GetTime.3 index 6b885ee..9f96be5 100644 --- a/doc/GetTime.3 +++ b/doc/GetTime.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_GetTime 3 8.4 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/Init.3 b/doc/Init.3 index 33c27a3..0a6635e 100644 --- a/doc/Init.3 +++ b/doc/Init.3 @@ -1,7 +1,7 @@ '\" '\" Copyright (c) 1998-2000 by Scriptics Corporation. '\" All rights reserved. -'\" +'\" .TH Tcl_Init 3 8.0 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/InitStubs.3 b/doc/InitStubs.3 index 73c3437..fbb3f56 100644 --- a/doc/InitStubs.3 +++ b/doc/InitStubs.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_InitStubs 3 8.1 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/Limit.3 b/doc/Limit.3 index 20a2e02..5939a80 100644 --- a/doc/Limit.3 +++ b/doc/Limit.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_LimitCheck 3 8.5 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/LinkVar.3 b/doc/LinkVar.3 index c64720b..a77fe21 100644 --- a/doc/LinkVar.3 +++ b/doc/LinkVar.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_LinkVar 3 7.5 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/Load.3 b/doc/Load.3 index 0ffaf57..1d0d738 100644 --- a/doc/Load.3 +++ b/doc/Load.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Load 3 8.6 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/Namespace.3 b/doc/Namespace.3 index be89597..a037442 100644 --- a/doc/Namespace.3 +++ b/doc/Namespace.3 @@ -3,10 +3,10 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" '\" Note that some of these functions do not seem to belong, but they '\" were all introduced with the same TIP (#139) -'\" +'\" .TH Tcl_Namespace 3 8.5 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/OpenTcp.3 b/doc/OpenTcp.3 index 9fe2615..4a7dc1e 100644 --- a/doc/OpenTcp.3 +++ b/doc/OpenTcp.3 @@ -130,7 +130,7 @@ for the new channel, \fIhostName\fR points to a string containing the name of the client host making the connection, and \fIport\fR will contain the client's port number. The new channel -is opened for both input and output. +is opened for both input and output. If \fIproc\fR raises an error, the connection is closed automatically. \fIProc\fR has no return value, but if it wishes to reject the connection it can close \fIchannel\fR. diff --git a/doc/ParseArgs.3 b/doc/ParseArgs.3 index df0ad33..f278ee9 100644 --- a/doc/ParseArgs.3 +++ b/doc/ParseArgs.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_ParseArgsObjv 3 8.6 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/Preserve.3 b/doc/Preserve.3 index 970bded..c8f34a2 100644 --- a/doc/Preserve.3 +++ b/doc/Preserve.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_Preserve 3 7.5 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/PrintDbl.3 b/doc/PrintDbl.3 index 730794f..896b6eb 100644 --- a/doc/PrintDbl.3 +++ b/doc/PrintDbl.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_PrintDouble 3 8.0 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/RecEvalObj.3 b/doc/RecEvalObj.3 index 387cc44..1b0f292 100644 --- a/doc/RecEvalObj.3 +++ b/doc/RecEvalObj.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_RecordAndEvalObj 3 8.0 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/RecordEval.3 b/doc/RecordEval.3 index e1625ff..36ef6b9 100644 --- a/doc/RecordEval.3 +++ b/doc/RecordEval.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_RecordAndEval 3 7.4 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/SetErrno.3 b/doc/SetErrno.3 index 21648b1..c202e2e 100644 --- a/doc/SetErrno.3 +++ b/doc/SetErrno.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_SetErrno 3 8.3 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/SetRecLmt.3 b/doc/SetRecLmt.3 index 904d4ab..ec55794 100644 --- a/doc/SetRecLmt.3 +++ b/doc/SetRecLmt.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_SetRecursionLimit 3 7.0 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/Signal.3 b/doc/Signal.3 index 70b9d91..0a280f9 100644 --- a/doc/Signal.3 +++ b/doc/Signal.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_SignalId 3 8.3 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/Sleep.3 b/doc/Sleep.3 index 2d36697..656d72a 100644 --- a/doc/Sleep.3 +++ b/doc/Sleep.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_Sleep 3 7.5 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/SplitList.3 b/doc/SplitList.3 index 3439f2e..d19ca14 100644 --- a/doc/SplitList.3 +++ b/doc/SplitList.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_SplitList 3 8.0 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/SplitPath.3 b/doc/SplitPath.3 index 19cee05..c011194 100644 --- a/doc/SplitPath.3 +++ b/doc/SplitPath.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_SplitPath 3 7.5 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/StaticPkg.3 b/doc/StaticPkg.3 index 5700ea7..41e2d65 100644 --- a/doc/StaticPkg.3 +++ b/doc/StaticPkg.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_StaticPackage 3 7.5 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/StdChannels.3 b/doc/StdChannels.3 index 651ad7d..7cb75a0 100644 --- a/doc/StdChannels.3 +++ b/doc/StdChannels.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH "Standard Channels" 3 7.5 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/StrMatch.3 b/doc/StrMatch.3 index f9c2be3..d664067 100644 --- a/doc/StrMatch.3 +++ b/doc/StrMatch.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_StringMatch 3 8.5 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/SubstObj.3 b/doc/SubstObj.3 index f582c5a..a2b6214 100644 --- a/doc/SubstObj.3 +++ b/doc/SubstObj.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_SubstObj 3 8.4 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/TCL_MEM_DEBUG.3 b/doc/TCL_MEM_DEBUG.3 index e3a6809..3a014d4 100644 --- a/doc/TCL_MEM_DEBUG.3 +++ b/doc/TCL_MEM_DEBUG.3 @@ -1,8 +1,8 @@ -'\" +'\" '\" Copyright (c) 1992-1999 Karl Lehenbauer and Mark Diekhans. '\" Copyright (c) 2000 by Scriptics Corporation. '\" All rights reserved. -'\" +'\" .TH TCL_MEM_DEBUG 3 8.1 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/TclZlib.3 b/doc/TclZlib.3 index c6a6417..4a5df89 100644 --- a/doc/TclZlib.3 +++ b/doc/TclZlib.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH TclZlib 3 8.6 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/break.n b/doc/break.n index 3e4ce5f..78fd005 100644 --- a/doc/break.n +++ b/doc/break.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH break n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/case.n b/doc/case.n index 54d5bf4..c48d634 100644 --- a/doc/case.n +++ b/doc/case.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH case n 7.0 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/cd.n b/doc/cd.n index 67cdd17..dceb075 100644 --- a/doc/cd.n +++ b/doc/cd.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH cd n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/close.n b/doc/close.n index 63da75b..5daf3e2 100644 --- a/doc/close.n +++ b/doc/close.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH close n 7.5 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/concat.n b/doc/concat.n index 575b9df..9fe7908 100644 --- a/doc/concat.n +++ b/doc/concat.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH concat n 8.3 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/continue.n b/doc/continue.n index 17d16b4..92ff3b4 100644 --- a/doc/continue.n +++ b/doc/continue.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH continue n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/coroutine.n b/doc/coroutine.n index c99f8d3..52775ef 100644 --- a/doc/coroutine.n +++ b/doc/coroutine.n @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH coroutine n 8.6 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/eof.n b/doc/eof.n index 75f3c48..a150464 100644 --- a/doc/eof.n +++ b/doc/eof.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH eof n 7.5 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/eval.n b/doc/eval.n index 3ef5023..9fc2ae4 100644 --- a/doc/eval.n +++ b/doc/eval.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH eval n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/exit.n b/doc/exit.n index 9b4ad20..a005c08 100644 --- a/doc/exit.n +++ b/doc/exit.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH exit n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/fblocked.n b/doc/fblocked.n index 2841aee..93cfe87 100644 --- a/doc/fblocked.n +++ b/doc/fblocked.n @@ -1,4 +1,4 @@ -'\" +'\" '\" Copyright (c) 1996 Sun Microsystems, Inc. '\" '\" See the file "license.terms" for information on usage and redistribution diff --git a/doc/flush.n b/doc/flush.n index d266d91..6b98ab7 100644 --- a/doc/flush.n +++ b/doc/flush.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH flush n 7.5 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/foreach.n b/doc/foreach.n index 89a11f6..925ec1f 100644 --- a/doc/foreach.n +++ b/doc/foreach.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH foreach n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/gets.n b/doc/gets.n index 0150f29..57532c0 100644 --- a/doc/gets.n +++ b/doc/gets.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH gets n 7.5 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/history.n b/doc/history.n index e1f9781..0391948 100644 --- a/doc/history.n +++ b/doc/history.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH history n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/if.n b/doc/if.n index 776f811..ff2518d 100644 --- a/doc/if.n +++ b/doc/if.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH if n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/incr.n b/doc/incr.n index 9052c5a..b4be95c 100644 --- a/doc/incr.n +++ b/doc/incr.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH incr n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/info.n b/doc/info.n index 1ad908d..477e272 100644 --- a/doc/info.n +++ b/doc/info.n @@ -7,7 +7,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH info n 8.4 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/interp.n b/doc/interp.n index 92113a6..ac07fb7 100644 --- a/doc/interp.n +++ b/doc/interp.n @@ -5,7 +5,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH interp n 8.6 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/join.n b/doc/join.n index c8179bb..23a7697 100644 --- a/doc/join.n +++ b/doc/join.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH join n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/lappend.n b/doc/lappend.n index a324ca3..80d075a 100644 --- a/doc/lappend.n +++ b/doc/lappend.n @@ -5,7 +5,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH lappend n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/lassign.n b/doc/lassign.n index e250729..5620de6 100644 --- a/doc/lassign.n +++ b/doc/lassign.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH lassign n 8.5 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/list.n b/doc/list.n index c2797f3..a182fc8 100644 --- a/doc/list.n +++ b/doc/list.n @@ -5,7 +5,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH list n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/load.n b/doc/load.n index 2ab8f2e..b592bb3 100644 --- a/doc/load.n +++ b/doc/load.n @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH load n 7.5 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/lrepeat.n b/doc/lrepeat.n index 466339d..f92792e 100644 --- a/doc/lrepeat.n +++ b/doc/lrepeat.n @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH lrepeat n 8.5 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/lreverse.n b/doc/lreverse.n index 51a9e57..4c2f762 100644 --- a/doc/lreverse.n +++ b/doc/lreverse.n @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH lreverse n 8.5 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/namespace.n b/doc/namespace.n index 1f4e85f..b0b6e25 100644 --- a/doc/namespace.n +++ b/doc/namespace.n @@ -303,7 +303,7 @@ used for qualified namespace or variable names. Sets or returns the unknown command handler for the current namespace. The handler is invoked when a command called from within the namespace cannot be found in the current namespace, the namespace's path nor in -the global namespace. +the global namespace. The \fIscript\fR argument, if given, should be a well formed list representing a command name and optional arguments. When the handler is invoked, the full invocation line will be appended to the diff --git a/doc/next.n b/doc/next.n index 62782e5..db846be 100644 --- a/doc/next.n +++ b/doc/next.n @@ -138,7 +138,7 @@ before chaining from subclass, args = x 1 2 3 y in the superclass, args = a x 1 2 3 y b in the superclass, args = pureSynthesis after chaining from subclass -before chaining from subclass, args = +before chaining from subclass, args = in the superclass, args = a b in the superclass, args = pureSynthesis after chaining from subclass diff --git a/doc/packagens.n b/doc/packagens.n index 61e7eca..5bd2e67 100644 --- a/doc/packagens.n +++ b/doc/packagens.n @@ -1,7 +1,7 @@ '\" '\" Copyright (c) 1998-2000 by Scriptics Corporation. '\" All rights reserved. -'\" +'\" .TH pkg::create n 8.3 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/pid.n b/doc/pid.n index a4df2f3..6f8c399 100644 --- a/doc/pid.n +++ b/doc/pid.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH pid n 7.0 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/platform.n b/doc/platform.n index 6abc289..5380ff4 100644 --- a/doc/platform.n +++ b/doc/platform.n @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH "platform" n 1.0.4 platform "Tcl Bundled Packages" .so man.macros .BS diff --git a/doc/platform_shell.n b/doc/platform_shell.n index 64a2e46..330afa9 100644 --- a/doc/platform_shell.n +++ b/doc/platform_shell.n @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH "platform::shell" n 1.1.4 platform::shell "Tcl Bundled Packages" .so man.macros .BS diff --git a/doc/prefix.n b/doc/prefix.n index 344ade7..50aa2fb 100644 --- a/doc/prefix.n +++ b/doc/prefix.n @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH prefix n 8.6 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/puts.n b/doc/puts.n index 01ca122..f4e1040 100644 --- a/doc/puts.n +++ b/doc/puts.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH puts n 7.5 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/pwd.n b/doc/pwd.n index 31d378f..85dd390 100644 --- a/doc/pwd.n +++ b/doc/pwd.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH pwd n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/refchan.n b/doc/refchan.n index 2232d50..8737556 100644 --- a/doc/refchan.n +++ b/doc/refchan.n @@ -1,4 +1,4 @@ -'\" +'\" '\" Copyright (c) 2006 Andreas Kupries '\" '\" See the file "license.terms" for information on usage and redistribution diff --git a/doc/registry.n b/doc/registry.n index 001def9..ec5910c 100644 --- a/doc/registry.n +++ b/doc/registry.n @@ -152,7 +152,7 @@ nulls. .TP \fBsz\fR . -The registry value contains a null-terminated string. The data is +The registry value contains a null-terminated string. The data is represented in Tcl as a string. .TP \fBexpand_sz\fR diff --git a/doc/rename.n b/doc/rename.n index 744bf5a..f74db5f 100644 --- a/doc/rename.n +++ b/doc/rename.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH rename n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/seek.n b/doc/seek.n index 02c5341..3b206d1 100644 --- a/doc/seek.n +++ b/doc/seek.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH seek n 8.1 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/source.n b/doc/source.n index 67d4b6b..82fefa6 100644 --- a/doc/source.n +++ b/doc/source.n @@ -5,7 +5,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH source n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/split.n b/doc/split.n index f1c66d0..e977d7c 100644 --- a/doc/split.n +++ b/doc/split.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH split n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/switch.n b/doc/switch.n index 6e27f56..70eeb09 100644 --- a/doc/switch.n +++ b/doc/switch.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH switch n 8.5 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/tailcall.n b/doc/tailcall.n index 926c608..24eb902 100644 --- a/doc/tailcall.n +++ b/doc/tailcall.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH tailcall n 8.6 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/tclsh.1 b/doc/tclsh.1 index 6ed5eb6..0e59b4f 100644 --- a/doc/tclsh.1 +++ b/doc/tclsh.1 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH tclsh 1 "" Tcl "Tcl Applications" .so man.macros .BS diff --git a/doc/tell.n b/doc/tell.n index e8bf3af..1da240d 100644 --- a/doc/tell.n +++ b/doc/tell.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH tell n 8.1 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/throw.n b/doc/throw.n index 0d1df78..0d096f4 100644 --- a/doc/throw.n +++ b/doc/throw.n @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH throw n 8.6 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/time.n b/doc/time.n index 35b41c4..bea974f 100644 --- a/doc/time.n +++ b/doc/time.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH time n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/tm.n b/doc/tm.n index 5602686..d5c3cc7 100644 --- a/doc/tm.n +++ b/doc/tm.n @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH tm n 8.5 Tcl "Tcl Built-In Commands" .so man.macros .BS -- cgit v0.12 From 53a12f1cf62f19f53ef964da17fc300de9e1ecdb Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 8 Mar 2016 18:06:06 +0000 Subject: [0b8c387cf7] Replace deprecated Tcl_VarEval() call with reworked callback system that uses Tcl_Obj scripts. --- generic/tclIOCmd.c | 45 +++++++++++++++++++++++++-------------------- 1 file changed, 25 insertions(+), 20 deletions(-) diff --git a/generic/tclIOCmd.c b/generic/tclIOCmd.c index 834f225..b7b7b66 100644 --- a/generic/tclIOCmd.c +++ b/generic/tclIOCmd.c @@ -16,7 +16,7 @@ */ typedef struct AcceptCallback { - char *script; /* Script to invoke. */ + Tcl_Obj *script; /* Script to invoke. */ Tcl_Interp *interp; /* Interpreter in which to run it. */ } AcceptCallback; @@ -37,8 +37,7 @@ static Tcl_ThreadDataKey dataKey; */ static void FinalizeIOCmdTSD(ClientData clientData); -static void AcceptCallbackProc(ClientData callbackData, - Tcl_Channel chan, char *address, int port); +static Tcl_TcpAcceptProc AcceptCallbackProc; static int ChanPendingObjCmd(ClientData unused, Tcl_Interp *interp, int objc, Tcl_Obj *const objv[]); @@ -1373,15 +1372,22 @@ AcceptCallbackProc( */ if (acceptCallbackPtr->interp != NULL) { - char portBuf[TCL_INTEGER_SPACE]; - char *script = acceptCallbackPtr->script; Tcl_Interp *interp = acceptCallbackPtr->interp; - int result; + Tcl_Obj *script, *objv[2]; + int result = TCL_OK; - Tcl_Preserve(script); - Tcl_Preserve(interp); + objv[0] = acceptCallbackPtr->script; + objv[1] = Tcl_NewListObj(3, NULL); + Tcl_ListObjAppendElement(NULL, objv[1], Tcl_NewStringObj( + Tcl_GetChannelName(chan), -1)); + Tcl_ListObjAppendElement(NULL, objv[1], Tcl_NewStringObj(address, -1)); + Tcl_ListObjAppendElement(NULL, objv[1], Tcl_NewIntObj(port)); + + script = Tcl_ConcatObj(2, objv); + Tcl_IncrRefCount(script); + Tcl_DecrRefCount(objv[1]); - TclFormatInt(portBuf, port); + Tcl_Preserve(interp); Tcl_RegisterChannel(interp, chan); /* @@ -1391,8 +1397,9 @@ AcceptCallbackProc( Tcl_RegisterChannel(NULL, chan); - result = Tcl_VarEval(interp, script, " ", Tcl_GetChannelName(chan), - " ", address, " ", portBuf, NULL); + result = Tcl_EvalObjEx(interp, script, TCL_EVAL_DIRECT); + Tcl_DecrRefCount(script); + if (result != TCL_OK) { Tcl_BackgroundException(interp, result); Tcl_UnregisterChannel(interp, chan); @@ -1406,7 +1413,6 @@ AcceptCallbackProc( Tcl_UnregisterChannel(NULL, chan); Tcl_Release(interp); - Tcl_Release(script); } else { /* * The interpreter has been deleted, so there is no useful way to use @@ -1450,7 +1456,7 @@ TcpServerCloseProc( UnregisterTcpServerInterpCleanupProc(acceptCallbackPtr->interp, acceptCallbackPtr); } - Tcl_EventuallyFree(acceptCallbackPtr->script, TCL_DYNAMIC); + Tcl_DecrRefCount(acceptCallbackPtr->script); ckfree(acceptCallbackPtr); } @@ -1485,7 +1491,8 @@ Tcl_SocketObjCmd( SKT_ASYNC, SKT_MYADDR, SKT_MYPORT, SKT_SERVER }; int optionIndex, a, server = 0, port, myport = 0, async = 0; - const char *host, *script = NULL, *myaddr = NULL; + const char *host, *myaddr = NULL; + Tcl_Obj *script = NULL; Tcl_Channel chan; if (TclpHasSockets(interp) != TCL_OK) { @@ -1548,7 +1555,7 @@ Tcl_SocketObjCmd( "no argument given for -server option", -1)); return TCL_ERROR; } - script = TclGetString(objv[a]); + script = objv[a]; break; default: Tcl_Panic("Tcl_SocketObjCmd: bad option index to SocketOptions"); @@ -1589,16 +1596,14 @@ Tcl_SocketObjCmd( if (server) { AcceptCallback *acceptCallbackPtr = ckalloc(sizeof(AcceptCallback)); - unsigned len = strlen(script) + 1; - char *copyScript = ckalloc(len); - memcpy(copyScript, script, len); - acceptCallbackPtr->script = copyScript; + Tcl_IncrRefCount(script); + acceptCallbackPtr->script = script; acceptCallbackPtr->interp = interp; chan = Tcl_OpenTcpServer(interp, port, host, AcceptCallbackProc, acceptCallbackPtr); if (chan == NULL) { - ckfree(copyScript); + Tcl_DecrRefCount(script); ckfree(acceptCallbackPtr); return TCL_ERROR; } -- cgit v0.12 From 61616431840c438a6934e3745b7b422f2a1d53c8 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 9 Mar 2016 15:59:07 +0000 Subject: Let Tcl 8.7 allow Tk 8.7 to be used by default --- generic/tclBasic.c | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/generic/tclBasic.c b/generic/tclBasic.c index e5d7406..3f5c113 100644 --- a/generic/tclBasic.c +++ b/generic/tclBasic.c @@ -580,7 +580,7 @@ Tcl_CreateInterp(void) iPtr->packageUnknown = NULL; /* TIP #268 */ - if (getenv("TCL_PKG_PREFER_LATEST") == NULL) { + if ((TCL_RELEASE_LEVEL == TCL_FINAL_RELEASE) && getenv("TCL_PKG_PREFER_LATEST") == NULL) { iPtr->packagePrefer = PKG_PREFER_STABLE; } else { iPtr->packagePrefer = PKG_PREFER_LATEST; -- cgit v0.12 From 13347d984e68e94063bee8fe1b5c8cc77ef5b250 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 10 Mar 2016 11:56:23 +0000 Subject: Eliminate exess spacings in many test-cases --- tests/README | 6 +- tests/apply.test | 2 +- tests/assemble.test | 66 +++---- tests/assemble1.bench | 19 +- tests/autoMkindex.test | 2 +- tests/basic.test | 22 +-- tests/chan.test | 4 +- tests/chanio.test | 48 ++--- tests/clock.test | 80 ++++---- tests/compile.test | 20 +- tests/coroutine.test | 8 +- tests/encoding.test | 10 +- tests/execute.test | 6 +- tests/expr-old.test | 8 +- tests/expr.test | 6 +- tests/fileSystem.test | 4 +- tests/history.test | 2 +- tests/httpd | 2 +- tests/httpold.test | 2 +- tests/info.test | 8 +- tests/init.test | 10 +- tests/interp.test | 52 ++--- tests/io.test | 74 +++---- tests/ioTrans.test | 2 +- tests/iogt.test | 2 +- tests/lindex.test | 4 +- tests/lmap.test | 6 +- tests/lrange.test | 2 +- tests/lrepeat.test | 4 +- tests/lsearch.test | 14 +- tests/lsetComp.test | 506 +++++++++++++++++++++++------------------------ tests/main.test | 2 +- tests/misc.test | 4 +- tests/msgcat.test | 48 ++--- tests/namespace.test | 32 +-- tests/nre.test | 6 +- tests/obj.test | 6 +- tests/oo.test | 8 +- tests/parse.test | 2 +- tests/parseExpr.test | 4 +- tests/pkgMkIndex.test | 2 +- tests/platform.test | 4 +- tests/proc.test | 6 +- tests/reg.test | 6 +- tests/regexp.test | 10 +- tests/regexpComp.test | 12 +- tests/set-old.test | 2 +- tests/set.test | 2 +- tests/split.test | 2 +- tests/stack.test | 2 +- tests/string.test | 6 +- tests/stringObj.test | 4 +- tests/subst.test | 14 +- tests/tailcall.test | 12 +- tests/tm.test | 2 +- tests/trace.test | 60 +++--- tests/unixForkEvent.test | 2 +- tests/unixNotfy.test | 4 +- tests/unknown.test | 2 +- tests/uplevel.test | 6 +- tests/upvar.test | 2 +- tests/util.test | 6 +- tests/var.test | 12 +- tests/winPipe.test | 4 +- 64 files changed, 648 insertions(+), 649 deletions(-) diff --git a/tests/README b/tests/README index ce2382e..e86100f 100644 --- a/tests/README +++ b/tests/README @@ -59,7 +59,7 @@ should correspond to the Tcl or C code file that they are testing. For example, the test file for the C file "tclCmdAH.c" is "cmdAH.test". Test files that contain black-box tests may not correspond to any Tcl or C code file so they should match the pattern -"*_bb.test". +"*_bb.test". Be sure your new test file can be run from any working directory. @@ -72,12 +72,12 @@ as well as an installation environment. If your test file contains tests that should not be run in one or more of those cases, please use the constraints mechanism to skip those tests. -4. Incompatibilities of package tcltest 2.1 with +4. Incompatibilities of package tcltest 2.1 with testing machinery of very old versions of Tcl: ------------------------------------------------ 1) Global variables such as VERBOSE, TESTS, and testConfig of the - old machinery correspond to the [configure -verbose], + old machinery correspond to the [configure -verbose], [configure -match], and [testConstraint] commands of tcltest 2.1, respectively. diff --git a/tests/apply.test b/tests/apply.test index ba19b81..597cd97 100644 --- a/tests/apply.test +++ b/tests/apply.test @@ -228,7 +228,7 @@ test apply-8.3 {args treatment} { apply [list {x args} $applyBody] 1 2 3 } {{x 1} {args {2 3}}} test apply-8.4 {default values} { - apply [list {{x 1} {y 2}} $applyBody] + apply [list {{x 1} {y 2}} $applyBody] } {{x 1} {y 2}} test apply-8.5 {default values} { apply [list {{x 1} {y 2}} $applyBody] 3 4 diff --git a/tests/assemble.test b/tests/assemble.test index b0487e6..5c226cd 100644 --- a/tests/assemble.test +++ b/tests/assemble.test @@ -301,12 +301,12 @@ test assemble-7.1 {add, wrong # args} { -result {wrong # args*} } test assemble-7.2 {add} { - -body { + -body { assemble { push 2 push 2 add - } + } } -result {4} } @@ -349,7 +349,7 @@ test assemble-7.5 {bitwise ops} { } test assemble-7.6 {div} { -body { - assemble {push 999999; push 7; div} + assemble {push 999999; push 7; div} } -result 142857 } @@ -360,7 +360,7 @@ test assemble-7.7 {dup} { } } -result 9 -} +} test assemble-7.8 {eq} { -body { list \ @@ -638,7 +638,7 @@ test assemble-7.24 {lsetList} { test assemble-7.25 {lshift} { -body { assemble {push 16; push 4; lshift} - } + } -result 256 } test assemble-7.26 {mod} { @@ -678,7 +678,7 @@ test assemble-7.30 {pop} { test assemble-7.31 {rshift} { -body { assemble {push 257; push 4; rshift} - } + } -result 16 } test assemble-7.32 {storeArrayStk} { @@ -1201,7 +1201,7 @@ test assemble-10.7 {expr - noncompilable} { # assemble-11 - ASSEM_LVT4 (exist, existArray, dictAppend, dictLappend, # nsupvar, variable, upvar) - + test assemble-11.1 {exist - wrong # args} { -body { assemble {exist} @@ -1310,7 +1310,7 @@ test assemble-11.10 {variable} { } # assemble-12 - ASSEM_LVT1 (incr and incrArray) - + test assemble-12.1 {incr - wrong # args} { -body { assemble {incr} @@ -1743,16 +1743,16 @@ test assemble-17.9 {jump - resolve a label multiple times} { set result {} assemble { jump common - + label zero - pop + pop incrImm case 1 pop push a append result pop jump common - + label one pop incrImm case 1 @@ -1761,7 +1761,7 @@ test assemble-17.9 {jump - resolve a label multiple times} { append result pop jump common - + label common load case dup @@ -1780,7 +1780,7 @@ test assemble-17.9 {jump - resolve a label multiple times} { push 3 eq jumpTrue three - + label two pop incrImm case 1 @@ -1789,7 +1789,7 @@ test assemble-17.9 {jump - resolve a label multiple times} { append result pop jump common - + label three pop incrImm case 1 @@ -1887,7 +1887,7 @@ test assemble-17.15 {multiple passes of code resizing} { append body {label b15; push b; concat 2; nop; nop; jump c} \n append body {label d} proc x {} [list assemble $body] - } + } -body { x } @@ -2080,7 +2080,7 @@ test assemble-20.5 {lsetFlat - negative operand count} { test assemble-20.6 {lsetFlat} { -body { assemble {push b; push a; lsetFlat 2} - } + } -result b } test assemble-20.7 {lsetFlat} { @@ -3066,12 +3066,12 @@ test assemble-40.1 {unbalanced stack} { [catch { assemble { push 3 - dup - mult + dup + mult push 4 - dup - mult - pop + dup + mult + pop expon } } result] $result $::errorInfo @@ -3170,7 +3170,7 @@ test assemble-50.1 {Ulam's 3n+1 problem, TAL implementation} { load n; # max dup; # max n jump start; # max n - + label loop; # max n over 1; # max n max over 1; # max in max n @@ -3180,29 +3180,29 @@ test assemble-50.1 {Ulam's 3n+1 problem, TAL implementation} { reverse 2; # n max pop; # n dup; # n n - + label skip; # max n dup; # max n n push 2; # max n n 2 mod; # max n n%2 jumpTrue odd; # max n - + push 2; # max n 2 div; # max n/2 -> max n jump start; # max n - + label odd; # max n push 3; # max n 3 mult; # max 3*n push 1; # max 3*n 1 add; # max 3*n+1 - + label start; # max n dup; # max n n push 1; # max n n 1 neq; # max n n>1 jumpTrue loop; # max n - + pop; # max } } @@ -3232,7 +3232,7 @@ test assemble-51.3 {memory leak testing} memory { load n; # max dup; # max n jump start; # max n - + label loop; # max n over 1; # max n max over 1; # max in max n @@ -3242,29 +3242,29 @@ test assemble-51.3 {memory leak testing} memory { reverse 2; # n max pop; # n dup; # n n - + label skip; # max n dup; # max n n push 2; # max n n 2 mod; # max n n%2 jumpTrue odd; # max n - + push 2; # max n 2 div; # max n/2 -> max n jump start; # max n - + label odd; # max n push 3; # max n 3 mult; # max 3*n push 1; # max 3*n 1 add; # max 3*n+1 - + label start; # max n dup; # max n n push 1; # max n n 1 neq; # max n n>1 jumpTrue loop; # max n - + pop; # max } }} 1 diff --git a/tests/assemble1.bench b/tests/assemble1.bench index 18fd3a9..e294108 100644 --- a/tests/assemble1.bench +++ b/tests/assemble1.bench @@ -20,7 +20,7 @@ proc ulam2 {n} { load n; # max dup; # max n jump start; # max n - + label loop; # max n over 1; # max n max over 1; # max in max n @@ -30,29 +30,29 @@ proc ulam2 {n} { reverse 2; # n max pop; # n dup; # n n - + label skip; # max n dup; # max n n push 2; # max n n 2 mod; # max n n%2 jumpTrue odd; # max n - + push 2; # max n 2 div; # max n/2 -> max n jump start; # max n - + label odd; # max n push 3; # max n 3 mult; # max 3*n push 1; # max 3*n 1 add; # max 3*n+1 - + label start; # max n dup; # max n n push 1; # max n n 1 neq; # max n n>1 jumpTrue loop; # max n - + pop; # max } } @@ -60,12 +60,12 @@ set tcl_traceCompile 2; ulam2 1; set tcl_traceCompile 0 proc test1 {n} { for {set i 1} {$i <= $n} {incr i} { - ulam1 $i + ulam1 $i } } proc test2 {n} { for {set i 1} {$i <= $n} {incr i} { - ulam2 $i + ulam2 $i } } @@ -75,11 +75,10 @@ for {set j 0} {$j < 10} {incr j} { test1 30000 set after [clock microseconds] puts "compiled: [expr {1e-6 * ($after - $before)}]" - + test2 1 set before [clock microseconds] test2 30000 set after [clock microseconds] puts "assembled: [expr {1e-6 * ($after - $before)}]" } - \ No newline at end of file diff --git a/tests/autoMkindex.test b/tests/autoMkindex.test index 4721553..b42d50d 100644 --- a/tests/autoMkindex.test +++ b/tests/autoMkindex.test @@ -180,7 +180,7 @@ test autoMkindex-3.1 {slaveHook} -setup { } -cleanup { # Reset initCommands to avoid trashing other tests AutoMkindexTestReset -} -result 1 +} -result 1 # The auto_mkindex_parser::command is used to register commands that create # new commands. test autoMkindex-3.2 {auto_mkindex_parser::command} -setup { diff --git a/tests/basic.test b/tests/basic.test index 1a0037c..bff9a95 100644 --- a/tests/basic.test +++ b/tests/basic.test @@ -241,7 +241,7 @@ test basic-18.1 {TclRenameCommand, name of existing cmd can have namespace quali } list [test_ns_basic::p] \ [rename test_ns_basic::p test_ns_basic::q] \ - [test_ns_basic::q] + [test_ns_basic::q] } {{p in ::test_ns_basic} {} {p in ::test_ns_basic}} test basic-18.2 {TclRenameCommand, existing cmd must be found} { catch {namespace delete {*}[namespace children :: test_ns_*]} @@ -454,11 +454,11 @@ test basic-26.2 {Tcl_EvalObjEx, pure-list branch: preserve "objv"} -body { # a - the pure-list internal rep is destroyed by shimmering # b - the command returns an error # As the error code in Tcl_EvalObjv accesses the list elements, this will - # cause a segfault if [Bug 1119369] has not been fixed. + # cause a segfault if [Bug 1119369] has not been fixed. # NOTE: a MEM_DEBUG build may be necessary to guarantee the segfault. # - set SRC [list foo 1] ;# pure-list command + set SRC [list foo 1] ;# pure-list command proc foo str { # Shimmer pure-list to cmdName, cleanup and error proc $::SRC {} {}; $::SRC @@ -476,11 +476,11 @@ test basic-26.3 {Tcl_EvalObjEx, pure-list branch: preserve "objv"} -body { # Follow the pure-list branch in a manner that # a - the pure-list internal rep is destroyed by shimmering # b - the command accesses its command line - # This will cause a segfault if [Bug 1119369] has not been fixed. + # This will cause a segfault if [Bug 1119369] has not been fixed. # NOTE: a MEM_DEBUG build may be necessary to guarantee the segfault. # - set SRC [list foo 1] ;# pure-list command + set SRC [list foo 1] ;# pure-list command proc foo str { # Shimmer pure-list to cmdName, cleanup and error proc $::SRC {} {}; $::SRC @@ -592,7 +592,7 @@ test basic-46.2 {Tcl_AllowExceptions: exception return not allowed} -setup { invoked "break" outside of a loop while executing "break" - (file "*BREAKtest" line 3)} + (file "*BREAKtest" line 3)} test basic-46.3 {Tcl_AllowExceptions: exception return not allowed} -setup { set fName [makeFile { @@ -609,7 +609,7 @@ test basic-46.3 {Tcl_AllowExceptions: exception return not allowed} -setup { } -returnCodes error -match glob -result {invoked "break" outside of a loop while executing "break" - (file "*BREAKtest" line 4)} + (file "*BREAKtest" line 4)} test basic-46.4 {Tcl_AllowExceptions: exception return not allowed} -setup { set fName [makeFile { @@ -737,7 +737,7 @@ test basic-48.1.$noComp {expansion: parsing} $constraints { # Another comment list 1 2\ 3 {*}$::l1 - + # Comment again } } {1 2 3 a {b b} c d} @@ -810,7 +810,7 @@ test basic-48.13.$noComp {expansion: odd usage} $constraints { test basic-48.14.$noComp {expansion: hash command} -setup { catch {rename \# ""} set cmd "#" - } -constraints $constraints -body { + } -constraints $constraints -body { run { {*}$cmd apa bepa } } -cleanup { unset cmd @@ -870,7 +870,7 @@ test basic-48.16.$noComp {expansion: testing for leaks} -setup { stress set tmp $end set end [getbytes] - } + } set leak [expr {$end - $tmp}] } -cleanup { unset end i tmp @@ -881,7 +881,7 @@ test basic-48.16.$noComp {expansion: testing for leaks} -setup { test basic-48.17.$noComp {expansion: object safety} -setup { set old_precision $::tcl_precision set ::tcl_precision 4 - } -constraints $constraints -body { + } -constraints $constraints -body { set third [expr {1.0/3.0}] set l [list $third $third] set x [run {list $third {*}$l $third}] diff --git a/tests/chan.test b/tests/chan.test index d8390e2..6808453 100644 --- a/tests/chan.test +++ b/tests/chan.test @@ -135,7 +135,7 @@ test chan-16.4 {chan command: pending subcommand} -body { chan pending {input output} stdout } -returnCodes error -result "bad mode \"input output\": must be input or output" test chan-16.5 {chan command: pending input subcommand} -body { - chan pending input stdout + chan pending input stdout } -result -1 test chan-16.6 {chan command: pending input subcommand} -body { chan pending input stdin @@ -194,7 +194,7 @@ test chan-16.9 {chan command: pending input subcommand} -setup { set ::chan-16.9-data [list] set ::chan-16.9-done 0 } -body { - after idle chan-16.9-client + after idle chan-16.9-client vwait ::chan-16.9-done set ::chan-16.9-data } -result {-1 0 0 1 36 -1 0 0 1 72 -1 0 0 1 108 -1 0 0 1 144 ABC 890} -cleanup { diff --git a/tests/chanio.test b/tests/chanio.test index 2738fc6..3017e81 100644 --- a/tests/chanio.test +++ b/tests/chanio.test @@ -37,7 +37,7 @@ namespace eval ::tcl::test::io { ::tcltest::loadTestedCommands catch [list package require -exact Tcltest [info patchlevel]] - + testConstraint testchannel [llength [info commands testchannel]] testConstraint exec [llength [info commands exec]] testConstraint openpipe 1 @@ -130,10 +130,10 @@ test chan-io-1.8 {Tcl_WriteChars: WriteChars} { # Executing this test without the fix for the referenced bug applied to # tcl will cause tcl, more specifically WriteChars, to go into an infinite # loop. - set f [open $path(test2) w] - chan configure $f -encoding iso2022-jp - chan puts -nonewline $f [format %s%c [string repeat " " 4] 12399] - chan close $f + set f [open $path(test2) w] + chan configure $f -encoding iso2022-jp + chan puts -nonewline $f [format %s%c [string repeat " " 4] 12399] + chan close $f contents $path(test2) } " \x1b\$B\$O\x1b(B" test chan-io-1.9 {Tcl_WriteChars: WriteChars} { @@ -248,7 +248,7 @@ test chan-io-3.3 {WriteChars: compatibility with WriteBytes: flush on line} -bod test chan-io-3.4 {WriteChars: loop over stage buffer} { # stage buffer maps to more than can be queued at once. set f [open $path(test1) w] - chan configure $f -encoding jis0208 -buffersize 16 + chan configure $f -encoding jis0208 -buffersize 16 chan puts -nonewline $f "\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\" set x [list [contents $path(test1)]] chan close $f @@ -259,7 +259,7 @@ test chan-io-3.5 {WriteChars: saved != 0} { # be moved to beginning of next channel buffer to preserve requested # buffersize. set f [open $path(test1) w] - chan configure $f -encoding jis0208 -buffersize 17 + chan configure $f -encoding jis0208 -buffersize 17 chan puts -nonewline $f "\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\" set x [list [contents $path(test1)]] chan close $f @@ -288,7 +288,7 @@ test chan-io-3.7 {WriteChars: (bufPtr->nextAdded > bufPtr->length)} { # on flush. The truncated bytes are moved to the beginning of the next # channel buffer. set f [open $path(test1) w] - chan configure $f -encoding jis0208 -buffersize 17 + chan configure $f -encoding jis0208 -buffersize 17 chan puts -nonewline $f "\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\" set x [list [contents $path(test1)]] chan close $f @@ -353,7 +353,7 @@ test chan-io-4.5 {TranslateOutputEOL: crlf} { test chan-io-5.1 {CheckFlush: not full} { set f [open $path(test1) w] - chan configure $f + chan configure $f chan puts -nonewline $f "12345678901234567890" set x [list [contents $path(test1)]] chan close $f @@ -441,7 +441,7 @@ set a "bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb" append a $a append a $a test chan-io-6.6 {Tcl_GetsObj: loop test} -body { - # if (dst >= dstEnd) + # if (dst >= dstEnd) set f [open $path(test1) w] chan puts $f $a chan puts $f hi @@ -750,7 +750,7 @@ test chan-io-6.33 {Tcl_GetsObj: crlf mode: buffer exhausted, at eof} -body { chan close $f } -result [list 16 "123456789012345\r" 1] test chan-io-6.34 {Tcl_GetsObj: crlf mode: buffer exhausted, not followed by \n} -body { - # not (*eol == '\n') + # not (*eol == '\n') set f [open $path(test1) w] chan configure $f -translation lf chan puts -nonewline $f "123456789012345\rabcd\r\nefg" @@ -860,7 +860,7 @@ test chan-io-6.43 {Tcl_GetsObj: input saw cr} -setup { chan configure $f -buffersize 16 lappend x [chan gets $f] chan configure $f -blocking 0 - lappend x [chan gets $f line] $line [testchannel queuedcr $f] + lappend x [chan gets $f line] $line [testchannel queuedcr $f] chan configure $f -blocking 1 chan puts -nonewline $f "\nabcd\refg\x1a" lappend x [chan gets $f line] $line [testchannel queuedcr $f] @@ -871,14 +871,14 @@ test chan-io-6.43 {Tcl_GetsObj: input saw cr} -setup { test chan-io-6.44 {Tcl_GetsObj: input saw cr, not followed by cr} -setup { set x "" } -constraints {stdio testchannel openpipe fileevent} -body { - # not (*eol == '\n') + # not (*eol == '\n') set f [openpipe w+ $path(cat)] chan configure $f -translation {auto lf} -buffering none chan puts -nonewline $f "bbbbbbbbbbbbbbb\n123456789abcdef\r" chan configure $f -buffersize 16 lappend x [chan gets $f] chan configure $f -blocking 0 - lappend x [chan gets $f line] $line [testchannel queuedcr $f] + lappend x [chan gets $f line] $line [testchannel queuedcr $f] chan configure $f -blocking 1 chan puts -nonewline $f "abcd\refg\x1a" lappend x [chan gets $f line] $line [testchannel queuedcr $f] @@ -957,7 +957,7 @@ test chan-io-6.49 {Tcl_GetsObj: auto mode: \r followed by \n} -constraints {test chan close $f } -result {123456 0 8 78901} test chan-io-6.50 {Tcl_GetsObj: auto mode: \r not followed by \n} -constraints {testchannel} -body { - # not (*eol == '\n') + # not (*eol == '\n') set f [open $path(test1) w] chan configure $f -translation lf chan puts -nonewline $f "123456\r78901" @@ -1183,7 +1183,7 @@ test chan-io-8.5 {PeekAhead: don't peek if last read was short} -constraints {st chan close $f } -result {15 abcdefghijklmno 1} test chan-io-8.6 {PeekAhead: change to non-blocking mode} -constraints {stdio testchannel openpipe fileevent} -body { - # ((chanPtr->flags & CHANNEL_NONBLOCKING) == 0) + # ((chanPtr->flags & CHANNEL_NONBLOCKING) == 0) set f [openpipe w+ $path(cat)] chan configure $f -translation {auto binary} -buffersize 16 chan puts -nonewline $f "abcdefghijklmno\r" @@ -1423,7 +1423,7 @@ test chan-io-13.2 {TranslateInputEOL: crlf mode} -body { chan close $f } -result "abcd\ndef\n" test chan-io-13.3 {TranslateInputEOL: crlf mode: naked cr} -body { - # (src >= srcMax) + # (src >= srcMax) set f [open $path(test1) w] chan configure $f -translation lf chan puts -nonewline $f "abcd\r\ndef\r" @@ -1435,7 +1435,7 @@ test chan-io-13.3 {TranslateInputEOL: crlf mode: naked cr} -body { chan close $f } -result "abcd\ndef\r" test chan-io-13.4 {TranslateInputEOL: crlf mode: cr followed by not \n} -body { - # (src >= srcMax) + # (src >= srcMax) set f [open $path(test1) w] chan configure $f -translation lf chan puts -nonewline $f "abcd\r\ndef\rfgh" @@ -1447,7 +1447,7 @@ test chan-io-13.4 {TranslateInputEOL: crlf mode: cr followed by not \n} -body { chan close $f } -result "abcd\ndef\rfgh" test chan-io-13.5 {TranslateInputEOL: crlf mode: naked lf} -body { - # (src >= srcMax) + # (src >= srcMax) set f [open $path(test1) w] chan configure $f -translation lf chan puts -nonewline $f "abcd\r\ndef\nfgh" @@ -1515,7 +1515,7 @@ test chan-io-13.9 {TranslateInputEOL: auto mode: \r followed by not \n} -body { chan close $f } -result "abcd\ndef" test chan-io-13.10 {TranslateInputEOL: auto mode: \n} -body { - # not (*src == '\r') + # not (*src == '\r') set f [open $path(test1) w] chan configure $f -translation lf chan puts -nonewline $f "abcd\ndef" @@ -3901,7 +3901,7 @@ test chan-io-31.31 {Tcl_Write crlf on block boundary, Tcl_Gets crlf} -setup { } chan close $f set f [open $path(test1) r] - chan configure $f -translation crlf + chan configure $f -translation crlf while {[chan gets $f line] >= 0} { append c $line\n } @@ -5155,7 +5155,7 @@ test chan-io-39.14 {Tcl_SetChannelOption: -encoding, binary & utf-8} -setup { file delete $path(test1) } -body { set f [open $path(test1) w] - chan configure $f -encoding {} + chan configure $f -encoding {} chan puts -nonewline $f \xe7\x89\xa6 chan close $f set f [open $path(test1) r] @@ -5300,7 +5300,7 @@ test chan-io-39.23 {Tcl_GetChannelOption, server socket is not readable or\ test chan-io-39.24 {Tcl_SetChannelOption, server socket is not readable or\ writable so we can't change -eofchar or -translation} -setup { set l [list] -} -body { +} -body { set sock [socket -server [namespace code accept] -myaddr 127.0.0.1 0] chan configure $sock -eofchar D -translation lf lappend l [chan configure $sock -eofchar] \ @@ -5453,7 +5453,7 @@ test chan-io-40.13 {POSIX open access modes: WRONLY} -body { set x [list [catch {chan gets $f} msg] $msg] chan close $f lappend x [viewFile test3] -} -match glob -result {1 {channel "*" wasn't opened for reading} abzzy} +} -match glob -result {1 {channel "*" wasn't opened for reading} abzzy} test chan-io-40.14 {POSIX open access modes: RDWR} -match regexp -body { file delete $path(test3) open $path(test3) RDWR diff --git a/tests/clock.test b/tests/clock.test index 615f3a8..b2ccdf2 100644 --- a/tests/clock.test +++ b/tests/clock.test @@ -35,9 +35,9 @@ testConstraint y2038 \ # TEST PLAN # clock-1: -# [clock format] - tests of bad and empty arguments +# [clock format] - tests of bad and empty arguments # -# clock-2 +# clock-2 # formatting of year, month and day of month # # clock-3 @@ -195,7 +195,7 @@ namespace eval ::tcl::clock { l li lii liii liv lv lvi lvii lviii lix lx lxi lxii lxiii lxiv lxv lxvi lxvii lxviii lxix lxx lxxi lxxii lxxiii lxxiv lxxv lxxvi lxxvii lxxviii lxxix - lxxx lxxxi lxxxii lxxxiii lxxxiv lxxxv lxxxvi lxxxvii lxxxviii + lxxx lxxxi lxxxii lxxxiii lxxxiv lxxxv lxxxvi lxxxvii lxxxviii lxxxix xc xci xcii xciii xciv xcv xcvi xcvii xcviii xcix c @@ -271,7 +271,7 @@ test clock-1.3 "clock format - empty val" { test clock-1.4 "clock format - bad flag" {*}{ -body { list [catch {clock format 0 -oops badflag} msg] $msg $::errorCode - } + } -match glob -result {1 {bad option "-oops": must be -format, -gmt, -locale, or -timezone} {CLOCK badOption -oops}} } @@ -35221,7 +35221,7 @@ test clock-30.25 {clock add seconds at DST conversion} { test clock-31.1 {system locale} \ -constraints win \ - -setup { + -setup { namespace eval ::tcl::clock { namespace import -force ::testClock::registry } @@ -35244,7 +35244,7 @@ test clock-31.1 {system locale} \ test clock-31.2 {system locale} \ -constraints win \ - -setup { + -setup { namespace eval ::tcl::clock { namespace import -force ::testClock::registry } @@ -35267,7 +35267,7 @@ test clock-31.2 {system locale} \ test clock-31.3 {system locale} \ -constraints win \ - -setup { + -setup { namespace eval ::tcl::clock { namespace import -force ::testClock::registry } @@ -35290,7 +35290,7 @@ test clock-31.3 {system locale} \ test clock-31.4 {system locale} \ -constraints win \ - -setup { + -setup { namespace eval ::tcl::clock { namespace import -force ::testClock::registry } @@ -35327,7 +35327,7 @@ test clock-31.4 {system locale} \ test clock-31.5 {system locale} \ -constraints win \ - -setup { + -setup { namespace eval ::tcl::clock { namespace import -force ::testClock::registry } @@ -35364,7 +35364,7 @@ test clock-31.5 {system locale} \ test clock-31.6 {system locale} \ -constraints win \ - -setup { + -setup { namespace eval ::tcl::clock { namespace import -force ::testClock::registry } @@ -35434,7 +35434,7 @@ test clock-32.1 {scan/format across the Gregorian change} { } set problems } {} - + # Legacy tests # clock clicks @@ -35468,7 +35468,7 @@ test clock-33.5 {clock clicks tests, millisecond timing test} { # 60 msecs seems to be the max time slice under Windows 95/98 expr { ($end > $start) && (($end - $start) <= 60) ? - "ok" : + "ok" : "test should have taken 0-60 ms, actually took [expr $end - $start]"} } {ok} test clock-33.5a {clock tests, millisecond timing test} { @@ -35480,7 +35480,7 @@ test clock-33.5a {clock tests, millisecond timing test} { # 60 msecs seems to be the max time slice under Windows 95/98 expr { ($end > $start) && (($end - $start) <= 60) ? - "ok" : + "ok" : "test should have taken 0-60 ms, actually took [expr $end - $start]"} } {ok} test clock-33.6 {clock clicks, milli with too much abbreviation} { @@ -35804,31 +35804,31 @@ test clock-34.47 {ago with multiple relative units} { } 180000 test clock-34.48 {more than one ToD} {*}{ - -body {clock scan {10:00 11:00}} + -body {clock scan {10:00 11:00}} -returnCodes error -result {unable to convert date-time string "10:00 11:00": more than one time of day in string} } test clock-34.49 {more than one date} {*}{ - -body {clock scan {1/1/2001 2/2/2002}} + -body {clock scan {1/1/2001 2/2/2002}} -returnCodes error -result {unable to convert date-time string "1/1/2001 2/2/2002": more than one date in string} } test clock-34.50 {more than one time zone} {*}{ - -body {clock scan {10:00 EST CST}} + -body {clock scan {10:00 EST CST}} -returnCodes error -result {unable to convert date-time string "10:00 EST CST": more than one time zone in string} } test clock-34.51 {more than one weekday} {*}{ - -body {clock scan {Monday Tuesday}} + -body {clock scan {Monday Tuesday}} -returnCodes error -result {unable to convert date-time string "Monday Tuesday": more than one weekday in string} } test clock-34.52 {more than one ordinal month} {*}{ - -body {clock scan {next January next March}} + -body {clock scan {next January next March}} -returnCodes error -result {unable to convert date-time string "next January next March": more than one ordinal month in string} } @@ -35924,7 +35924,7 @@ test clock-38.2 {make sure TZ is not cached after unset} \ } } \ -result 1 - + test clock-39.1 {regression - synonym timezones} { clock format 0 -format {%H:%M:%S} -timezone :US/Eastern @@ -35996,7 +35996,7 @@ test clock-44.1 {regression test - time zone name containing hyphen } \ } } \ -result {12:34:56-0500} - + test clock-45.1 {regression test - time zone containing only two digits} \ -body { clock scan 1985-04-12T10:15:30+04 -format %Y-%m-%dT%H:%M:%S%Z @@ -36041,7 +36041,7 @@ test clock-48.1 {Bug 1185933: 'i' destroyed by clock init} -setup { test clock-49.1 {regression test - localtime with negative arg (Bug 1237907)} \ -body { - list [catch { + list [catch { clock format -86400 -timezone :localtime -format %Y } result] $result } \ @@ -36280,7 +36280,7 @@ test clock-56.1 {use of zoneinfo, version 1} {*}{ } -result {2004-01-01 00:00:00 MST} } - + test clock-56.2 {use of zoneinfo, version 2} {*}{ -setup { clock format [clock seconds] @@ -36330,7 +36330,7 @@ test clock-56.2 {use of zoneinfo, version 2} {*}{ removeFile PhoenixTwo $tzdir2 removeDirectory Test $tzdir removeDirectory zoneinfo - } + } -body { clock format 1072940400 -timezone :Test/PhoenixTwo \ -format {%Y-%m-%d %H:%M:%S %Z} @@ -36540,7 +36540,7 @@ test clock-56.3 {use of zoneinfo, version 2, Y2038 compliance} {*}{ removeFile TijuanaTwo $tzdir2 removeDirectory Test $tzdir removeDirectory zoneinfo - } + } -body { clock format 2224738800 -timezone :Test/TijuanaTwo \ -format {%Y-%m-%d %H:%M:%S %Z} @@ -36692,7 +36692,7 @@ test clock-56.4 {Bug 3470928} {*}{ removeFile Windhoek $tzdir2 removeDirectory Test $tzdir removeDirectory zoneinfo - } + } -result {Sun Jan 08 22:30:06 WAST 2012} } @@ -36703,7 +36703,7 @@ test clock-57.1 {clock scan - abbreviated options} { test clock-58.1 {clock l10n - Japanese localisation} {*}{ -setup { proc backslashify { string } { - + set retval {} foreach char [split $string {}] { scan $char %c ccode @@ -36809,52 +36809,52 @@ test clock-59.1 {military time zones} { test clock-60.1 {case insensitive weekday names} { clock scan "2000-W01 monday" -gmt true -format "%G-W%V %a" -} [clock scan "2000-W01-1" -gmt true -format "%G-W%V-%u"] +} [clock scan "2000-W01-1" -gmt true -format "%G-W%V-%u"] test clock-60.2 {case insensitive weekday names} { clock scan "2000-W01 Monday" -gmt true -format "%G-W%V %a" -} [clock scan "2000-W01-1" -gmt true -format "%G-W%V-%u"] +} [clock scan "2000-W01-1" -gmt true -format "%G-W%V-%u"] test clock-60.3 {case insensitive weekday names} { clock scan "2000-W01 MONDAY" -gmt true -format "%G-W%V %a" -} [clock scan "2000-W01-1" -gmt true -format "%G-W%V-%u"] +} [clock scan "2000-W01-1" -gmt true -format "%G-W%V-%u"] test clock-60.4 {case insensitive weekday names} { clock scan "2000-W01 friday" -gmt true -format "%G-W%V %a" -} [clock scan "2000-W01-5" -gmt true -format "%G-W%V-%u"] +} [clock scan "2000-W01-5" -gmt true -format "%G-W%V-%u"] test clock-60.5 {case insensitive weekday names} { clock scan "2000-W01 Friday" -gmt true -format "%G-W%V %a" -} [clock scan "2000-W01-5" -gmt true -format "%G-W%V-%u"] +} [clock scan "2000-W01-5" -gmt true -format "%G-W%V-%u"] test clock-60.6 {case insensitive weekday names} { clock scan "2000-W01 FRIDAY" -gmt true -format "%G-W%V %a" -} [clock scan "2000-W01-5" -gmt true -format "%G-W%V-%u"] +} [clock scan "2000-W01-5" -gmt true -format "%G-W%V-%u"] test clock-60.7 {case insensitive month names} { clock scan "1 january 2000" -gmt true -format "%d %b %Y" -} [clock scan "2000-01-01" -gmt true -format "%Y-%m-%d"] +} [clock scan "2000-01-01" -gmt true -format "%Y-%m-%d"] test clock-60.8 {case insensitive month names} { clock scan "1 January 2000" -gmt true -format "%d %b %Y" -} [clock scan "2000-01-01" -gmt true -format "%Y-%m-%d"] +} [clock scan "2000-01-01" -gmt true -format "%Y-%m-%d"] test clock-60.9 {case insensitive month names} { clock scan "1 JANUARY 2000" -gmt true -format "%d %b %Y" -} [clock scan "2000-01-01" -gmt true -format "%Y-%m-%d"] +} [clock scan "2000-01-01" -gmt true -format "%Y-%m-%d"] test clock-60.10 {case insensitive month names} { clock scan "1 december 2000" -gmt true -format "%d %b %Y" -} [clock scan "2000-12-01" -gmt true -format "%Y-%m-%d"] +} [clock scan "2000-12-01" -gmt true -format "%Y-%m-%d"] test clock-60.11 {case insensitive month names} { clock scan "1 December 2000" -gmt true -format "%d %b %Y" -} [clock scan "2000-12-01" -gmt true -format "%Y-%m-%d"] +} [clock scan "2000-12-01" -gmt true -format "%Y-%m-%d"] test clock-60.12 {case insensitive month names} { clock scan "1 DECEMBER 2000" -gmt true -format "%d %b %Y" -} [clock scan "2000-12-01" -gmt true -format "%Y-%m-%d"] +} [clock scan "2000-12-01" -gmt true -format "%Y-%m-%d"] test clock-61.1 {overflow of a wide integer on output} {*}{ -body { clock format 0x8000000000000000 -format %s -gmt true - } + } -result {integer value too large to represent} -returnCodes error } test clock-61.2 {overflow of a wide integer on output} {*}{ -body { clock format -0x8000000000000001 -format %s -gmt true - } + } -result {integer value too large to represent} -returnCodes error } diff --git a/tests/compile.test b/tests/compile.test index 46e678a..6ef697c 100644 --- a/tests/compile.test +++ b/tests/compile.test @@ -122,7 +122,7 @@ test compile-3.4 {TclCompileCatchCmd: bcc'ed [return] is caught} { proc foo {} { set fail [catch { return 1 - }] ; # {} + }] ; # {} return 2 } foo @@ -132,8 +132,8 @@ test compile-3.5 {TclCompileCatchCmd: recover from error, [Bug 705406]} { catch { if {[a]} { if b {} - } - } + } + } } list [catch foo msg] $msg } {0 1} @@ -333,13 +333,13 @@ test compile-11.9 {Tcl_Append*: ensure Tcl_ResetResult is used properly} -body { list [catch {p} msg] $msg } -returnCodes error -result {unmatched open brace in list} -# +# # Special section for tests of tclLiteral.c # The following tests check for incorrect memory handling in # TclReleaseLiteral. They are only effective when tcl is compiled with # TCL_MEM_DEBUG # -# Special test for leak on interp delete [Bug 467523]. +# Special test for leak on interp delete [Bug 467523]. test compile-12.1 {testing literal leak on interp delete} -setup { proc getbytes {} { set lines [split [memory info] "\n"] @@ -348,10 +348,10 @@ test compile-12.1 {testing literal leak on interp delete} -setup { } -constraints memory -body { set end [getbytes] for {set i 0} {$i < 5} {incr i} { - interp create foo - foo eval { + interp create foo + foo eval { namespace eval bar {} - } + } interp delete foo set tmp $end set end [getbytes] @@ -372,7 +372,7 @@ test compile-12.2 {testing error on literal deletion} -constraints {memory exec} } puts 0 } source.file] - exec [interpreter] $sourceFile + exec [interpreter] $sourceFile } -cleanup { catch {removeFile $sourceFile} } -result 0 @@ -465,7 +465,7 @@ test compile-14.1 {testing errors in element name; segfault?} {} { test compile-14.2 {testing element name "$"} -body { unset -nocomplain a set a() 1 - set a(1) 2 + set a(1) 2 set a($) 3 list [set a()] [set a(1)] [set a($)] [unset a() a(1); lindex [array names a] 0] } -cleanup {unset a} -result [list 1 2 3 {$}] diff --git a/tests/coroutine.test b/tests/coroutine.test index 205da67..86fa6e3 100644 --- a/tests/coroutine.test +++ b/tests/coroutine.test @@ -66,7 +66,7 @@ test coroutine-1.3 {yield returns new arg} -setup { incr i } } - coroutine foo ::apply [list {{start 2} {stop 10}} $body] + coroutine foo ::apply [list {{start 2} {stop 10}} $body] set res {} } -body { for {set k 1} {$k < 4} {incr k} { @@ -476,7 +476,7 @@ test coroutine-5.1 {right numLevels on coro return} -constraints {testnrelevels} expr {[lindex [testnrelevels] 1] - 1} } proc relativeLevel base { - # remove the level for this proc's call + # remove the level for this proc's call expr {[getNumLevel] - $base - 1} } proc foo {} { @@ -517,7 +517,7 @@ test coroutine-5.2 {right numLevels within coro} -constraints {testnrelevels} \ expr {[lindex [testnrelevels] 1] - 1} } proc relativeLevel base { - # remove the level for this proc's call + # remove the level for this proc's call expr {[getNumLevel] - $base - 1} } proc foo base { @@ -588,7 +588,7 @@ test coroutine-7.2 {multi-argument yielding with yieldto} -body { coroutine a corobody coroutine b corobody list [a x] [a y z] [a \{p] [a \{q r] [a] [a] [rename a {}] \ - [b ok] [rename b {}] + [b ok] [rename b {}] } -cleanup { rename corobody {} } -result {x {y z 2} \{p {\{q r 2} {} 0 {} ok {}} diff --git a/tests/encoding.test b/tests/encoding.test index 0374e2d..4dddbb5 100644 --- a/tests/encoding.test +++ b/tests/encoding.test @@ -73,7 +73,7 @@ test encoding-2.2 {Tcl_FreeEncoding: refcount != 0} -setup { } -constraints {testencoding} -body { encoding system shiftjis ;# incr ref count encoding dirs [list [pwd]] - set x [encoding convertto shiftjis \u4e4e] ;# old one found + set x [encoding convertto shiftjis \u4e4e] ;# old one found encoding system identity llength shiftjis ;# Shimmer away any cache of Tcl_Encoding lappend x [catch {encoding convertto shiftjis \u4e4e} msg] $msg @@ -182,7 +182,7 @@ test encoding-8.1 {Tcl_ExternalToUtf} { puts -nonewline $f "ab\x8c\xc1g" close $f set f [open [file join [temporaryDirectory] dummy] r] - fconfigure $f -translation binary -encoding shiftjis + fconfigure $f -translation binary -encoding shiftjis set x [read $f] close $f file delete [file join [temporaryDirectory] dummy] @@ -265,7 +265,7 @@ test encoding-11.6 {LoadEncodingFile: invalid file} -constraints {testencoding} makeDirectory tmp makeDirectory [file join tmp encoding] set f [open [file join tmp encoding splat.enc] w] - fconfigure $f -translation binary + fconfigure $f -translation binary puts $f "abcdefghijklmnop" close $f encoding convertto splat \u4e4e @@ -286,11 +286,11 @@ test encoding-12.1 {LoadTableEncoding: normal encoding} { append x [encoding convertfrom iso8859-3 \xd5] } "\xd5?\u120" test encoding-12.2 {LoadTableEncoding: single-byte encoding} { - set x [encoding convertto iso8859-3 ab\u0120g] + set x [encoding convertto iso8859-3 ab\u0120g] append x [encoding convertfrom iso8859-3 ab\xd5g] } "ab\xd5gab\u120g" test encoding-12.3 {LoadTableEncoding: multi-byte encoding} { - set x [encoding convertto shiftjis ab\u4e4eg] + set x [encoding convertto shiftjis ab\u4e4eg] append x [encoding convertfrom shiftjis ab\x8c\xc1g] } "ab\x8c\xc1gab\u4e4eg" test encoding-12.4 {LoadTableEncoding: double-byte encoding} { diff --git a/tests/execute.test b/tests/execute.test index 9a2ffbd..5b8ce2d 100644 --- a/tests/execute.test +++ b/tests/execute.test @@ -698,7 +698,7 @@ test execute-6.12 {Tcl_ExprObj: exprcode interp validation} -setup { lappend result [e $e] interp delete slave interp create slave - interp alias {} e slave expr + interp alias {} e slave expr lappend result [e $e] } -cleanup { interp delete slave @@ -1013,8 +1013,8 @@ test execute-10.3 {Bug 3072640} -setup { yield $i } } - proc t {args} { - incr ::foo + proc t {args} { + incr ::foo } trace add execution ::generate enterstep ::t } -body { diff --git a/tests/expr-old.test b/tests/expr-old.test index 06a00ba..3adfb63 100644 --- a/tests/expr-old.test +++ b/tests/expr-old.test @@ -420,13 +420,13 @@ test expr-old-21.3 {parenthesization} {expr +(3-4)} -1 # Embedded commands and variable names. -set a 16 -test expr-old-22.1 {embedded variables} {expr {2*$a}} 32 +set a 16 +test expr-old-22.1 {embedded variables} {expr {2*$a}} 32 test expr-old-22.2 {embedded variables} { set x -5 set y 10 expr {$x + $y} -} {5} +} {5} test expr-old-22.3 {embedded variables} { set x " -5" set y " +10" @@ -1120,7 +1120,7 @@ test expr-old-37.25 {Tcl_ExprDouble and NaN} \ {ieeeFloatingPoint testexprdouble} { list [catch {testexprdouble 0.0/0.0} result] $result } {1 {domain error: argument not in valid range}} - + test expr-old-38.1 {Verify Tcl_ExprString's basic operation} -constraints {testexprstring} -body { list [testexprstring "1+4"] [testexprstring "2*3+4.2"] \ [catch {testexprstring "1+"} msg] $msg diff --git a/tests/expr.test b/tests/expr.test index 4c03262..4046411 100644 --- a/tests/expr.test +++ b/tests/expr.test @@ -1429,7 +1429,7 @@ test expr-23.74.3 {INST_EXPON: Bug 2798543} { expr {(-14)**17 == (-14)**65553} } 0 - + # Some compilers get this wrong; ensure that we work around it correctly test expr-24.1 {expr edge cases; shifting} {expr int(5)>>32} 0 test expr-24.2 {expr edge cases; shifting} {expr int(5)>>63} 0 @@ -5777,7 +5777,7 @@ test expr-32.1 {expr mod basics} { 0 1 0 3 3 \ 0 -1 0 -1 -2 \ ] - + test expr-32.2 {expr div basics} { set mod_nums [list \ {-3 1} {-3 2} {-3 3} {-3 4} {-3 5} \ @@ -6776,7 +6776,7 @@ test expr-39.16 {Tcl_ExprLongObj handles overflows} \ list [catch {testexprlongobj 4294967296.} result] $result } \ -result {1 {integer value too large to represent*}} - + test expr-39.17 {Check that Tcl_ExprDoubleObj doesn't modify interpreter result if no error} testexprdoubleobj { testexprdoubleobj 4.+1. } {This is a result: 5.0} diff --git a/tests/fileSystem.test b/tests/fileSystem.test index 9fe4fe9..1941936 100644 --- a/tests/fileSystem.test +++ b/tests/fileSystem.test @@ -146,7 +146,7 @@ test filesystem-1.10 {link normalisation: double link} -constraints { [file normalize [file join dir2.link inside.file foo]] } -cleanup { file delete dir2.link -} -result ok +} -result ok makeDirectory dir2.file test filesystem-1.11 {link normalisation: double link, back in tree} {unix hasLinks} { file link dir2.link dir.link @@ -874,7 +874,7 @@ test filesystem-9.5 {path objects and file tail and object rep} -setup { } return $res } -cleanup { - file delete -force dgp + file delete -force dgp cd $origdir } -result {test test} test filesystem-9.6 {path objects and file tail and object rep} win { diff --git a/tests/history.test b/tests/history.test index c562796..1a255a4 100644 --- a/tests/history.test +++ b/tests/history.test @@ -10,7 +10,7 @@ # # See the file "license.terms" for information on usage and redistribution of # this file, and for a DISCLAIMER OF ALL WARRANTIES. - + if {[lsearch [namespace children] ::tcltest] == -1} { package require tcltest namespace import -force ::tcltest::* diff --git a/tests/httpd b/tests/httpd index 232e80a..c934fac 100644 --- a/tests/httpd +++ b/tests/httpd @@ -205,7 +205,7 @@ proc httpdRespond { sock } { } # Catch errors from premature client closes - + catch { if {$data(proto) == "HEAD"} { puts $sock "HTTP/1.0 200 OK" diff --git a/tests/httpold.test b/tests/httpold.test index aeba311..5995bed 100644 --- a/tests/httpold.test +++ b/tests/httpold.test @@ -36,7 +36,7 @@ if {[catch {package require http 1.0}]} { set bindata "This is binary data\x0d\x0amore\x0dmore\x0amore\x00null" catch {unset data} -## +## ## The httpd script implement a stub http server ## source [file join [file dirname [info script]] httpd] diff --git a/tests/info.test b/tests/info.test index 3057dd2..60b9e66 100644 --- a/tests/info.test +++ b/tests/info.test @@ -2099,7 +2099,7 @@ proc foo::bar {} { foreach {*}{ x y {set res [info frame 0]} - } + } return $res } test info-33.13 {{*}, literal, simple, bytecompiled} -body { @@ -2114,7 +2114,7 @@ proc foo::bar {} { if {*}{ {[return [info frame 0]]} {} - } + } } test info-33.14 {{*}, literal, simple, bytecompiled} -body { reduce [foo::bar] @@ -2128,7 +2128,7 @@ proc foo::bar {} { if 0 {*}{ {} else {return [info frame 0]} - } + } } test info-33.15 {{*}, literal, simple, bytecompiled} -body { reduce [foo::bar] @@ -2229,7 +2229,7 @@ namespace eval foo {} proc foo::bar {} { try {*}{ {set res [info frame 0]} - } + } return $res } test info-33.23 {{*}, literal, simple, bytecompiled} -body { diff --git a/tests/init.test b/tests/init.test index 41b8624..0241283 100644 --- a/tests/init.test +++ b/tests/init.test @@ -28,7 +28,7 @@ test init-1.2 {auto_qualify - absolute cmd - global} { } global test init-1.3 {auto_qualify - no colons cmd - global} { auto_qualify nocolons :: -} nocolons +} nocolons test init-1.4 {auto_qualify - no colons cmd - namespace} { auto_qualify nocolons ::sub } {::sub::nocolons nocolons} @@ -93,11 +93,11 @@ test init-2.5 {load safe:::setLogCmd - stage 2} { auto_reset catch {rename ::safe::setLogCmd {}} test init-2.6 {load setLogCmd from safe:: - stage 1} { - namespace eval safe setLogCmd + namespace eval safe setLogCmd rename ::safe::setLogCmd {} ;# should not fail } {} test init-2.7 {oad setLogCmd from safe:: - stage 2} { - namespace eval safe setLogCmd + namespace eval safe setLogCmd rename ::safe::setLogCmd {} ;# should not fail } {} test init-2.8 {load tcl::HistAdd} -setup { @@ -132,12 +132,12 @@ foreach arg [subst -nocommands -novariables { and is long enough to be truncated and " <- includes a false lead in the prune point search and must be longer still to force truncation} - {contrived example: rare circumstance + {contrived example: rare circumstance where the point at which to prune the error stack cannot be uniquely determined. foo bar foo "} - {contrived example: rare circumstance + {contrived example: rare circumstance where the point at which to prune the error stack cannot be uniquely determined. foo bar diff --git a/tests/interp.test b/tests/interp.test index 4bc9fe2..6c9fb56 100644 --- a/tests/interp.test +++ b/tests/interp.test @@ -56,7 +56,7 @@ test interp-1.8 {options for interp command} -returnCodes error -body { } -result {bad option "-froboz": must be alias, aliases, bgerror, cancel, create, debug, delete, eval, exists, expose, hide, hidden, issafe, invokehidden, limit, marktrusted, recursionlimit, slaves, share, target, or transfer} test interp-1.9 {options for interp command} -returnCodes error -body { interp -froboz -safe -} -result {bad option "-froboz": must be alias, aliases, bgerror, cancel, create, debug, delete, eval, exists, expose, hide, hidden, issafe, invokehidden, limit, marktrusted, recursionlimit, slaves, share, target, or transfer} +} -result {bad option "-froboz": must be alias, aliases, bgerror, cancel, create, debug, delete, eval, exists, expose, hide, hidden, issafe, invokehidden, limit, marktrusted, recursionlimit, slaves, share, target, or transfer} test interp-1.10 {options for interp command} -returnCodes error -body { interp target } -result {wrong # args: should be "interp target path alias"} @@ -70,7 +70,7 @@ test interp-2.2 {basic interpreter creation} { } 0 test interp-2.3 {basic interpreter creation} { catch {interp create -safe} -} 0 +} 0 test interp-2.4 {basic interpreter creation} { list [catch {interp create a} msg] $msg } {1 {interpreter named "a" already exists, cannot create}} @@ -102,7 +102,7 @@ test interp-2.11 {anonymous interps vs existing procs} { set x [interp create] regexp "interp(\[0-9]+)" $x dummy anothernum expr $anothernum > $thenum -} 1 +} 1 test interp-2.12 {anonymous interps vs existing procs} { set x [interp create -safe] regexp "interp(\[0-9]+)" $x dummy thenum @@ -844,12 +844,12 @@ test interp-18.9 {eval in deleted interp, bug 495830} { interp create tst interp alias tst suicide {} interp delete tst list [catch {tst eval {suicide; set a 5}} msg] $msg -} {1 {attempt to call eval in deleted interpreter}} +} {1 {attempt to call eval in deleted interpreter}} test interp-18.10 {eval in deleted interp, bug 495830} { interp create tst interp alias tst suicide {} interp delete tst list [catch {tst eval {set set set; suicide; $set a 5}} msg] $msg -} {1 {attempt to call eval in deleted interpreter}} +} {1 {attempt to call eval in deleted interpreter}} # Test alias deletion @@ -939,7 +939,7 @@ test interp-19.9 {alias deletion, renaming} { set l [interp eval a foo] interp delete a set l -} 1156 +} 1156 test interp-20.1 {interp hide, interp expose and interp invokehidden} { set a [interp create] @@ -1160,7 +1160,7 @@ test interp-20.21 {interp hide vs safety} { catch {interp delete a} interp create a -safe set l "" - lappend l [catch {a hide list} msg] + lappend l [catch {a hide list} msg] lappend l $msg interp delete a set l @@ -1169,7 +1169,7 @@ test interp-20.22 {interp hide vs safety} { catch {interp delete a} interp create a -safe set l "" - lappend l [catch {interp hide a list} msg] + lappend l [catch {interp hide a list} msg] lappend l $msg interp delete a set l @@ -1178,7 +1178,7 @@ test interp-20.23 {interp hide vs safety} { catch {interp delete a} interp create a -safe set l "" - lappend l [catch {a eval {interp hide {} list}} msg] + lappend l [catch {a eval {interp hide {} list}} msg] lappend l $msg interp delete a set l @@ -1188,7 +1188,7 @@ test interp-20.24 {interp hide vs safety} { interp create a -safe interp create {a b} set l "" - lappend l [catch {a eval {interp hide b list}} msg] + lappend l [catch {a eval {interp hide b list}} msg] lappend l $msg interp delete a set l @@ -1207,7 +1207,7 @@ test interp-20.26 {interp expoose vs safety} { catch {interp delete a} interp create a -safe set l "" - lappend l [catch {a hide list} msg] + lappend l [catch {a hide list} msg] lappend l $msg lappend l [catch {a expose list} msg] lappend l $msg @@ -1218,9 +1218,9 @@ test interp-20.27 {interp expose vs safety} { catch {interp delete a} interp create a -safe set l "" - lappend l [catch {interp hide a list} msg] + lappend l [catch {interp hide a list} msg] lappend l $msg - lappend l [catch {interp expose a list} msg] + lappend l [catch {interp expose a list} msg] lappend l $msg interp delete a set l @@ -1229,7 +1229,7 @@ test interp-20.28 {interp expose vs safety} { catch {interp delete a} interp create a -safe set l "" - lappend l [catch {a hide list} msg] + lappend l [catch {a hide list} msg] lappend l $msg lappend l [catch {a eval {interp expose {} list}} msg] lappend l $msg @@ -1240,9 +1240,9 @@ test interp-20.29 {interp expose vs safety} { catch {interp delete a} interp create a -safe set l "" - lappend l [catch {interp hide a list} msg] + lappend l [catch {interp hide a list} msg] lappend l $msg - lappend l [catch {a eval {interp expose {} list}} msg] + lappend l [catch {a eval {interp expose {} list}} msg] lappend l $msg interp delete a set l @@ -1252,9 +1252,9 @@ test interp-20.30 {interp expose vs safety} { interp create a -safe interp create {a b} set l "" - lappend l [catch {interp hide {a b} list} msg] + lappend l [catch {interp hide {a b} list} msg] lappend l $msg - lappend l [catch {a eval {interp expose b list}} msg] + lappend l [catch {a eval {interp expose b list}} msg] lappend l $msg interp delete a set l @@ -1264,7 +1264,7 @@ test interp-20.31 {interp expose vs safety} { interp create a -safe interp create {a b} set l "" - lappend l [catch {interp hide {a b} list} msg] + lappend l [catch {interp hide {a b} list} msg] lappend l $msg lappend l [catch {interp expose {a b} list} msg] lappend l $msg @@ -1644,7 +1644,7 @@ test interp-21.5 {interp hidden} -setup { lsort [interp hidden a] } -cleanup { interp delete a -} -result $hidden_cmds +} -result $hidden_cmds test interp-21.6 {interp hidden vs interp hide, interp expose} -setup { catch {interp delete a} set l "" @@ -2168,7 +2168,7 @@ test interp-27.1 {interp aliases & namespaces} -setup { set i [interp create] } -body { set aliasTrace {} - proc tstAlias {args} { + proc tstAlias {args} { global aliasTrace lappend aliasTrace [list [namespace current] $args] } @@ -2182,7 +2182,7 @@ test interp-27.2 {interp aliases & namespaces} -setup { set i [interp create] } -body { set aliasTrace {} - proc tstAlias {args} { + proc tstAlias {args} { global aliasTrace lappend aliasTrace [list [namespace current] $args] } @@ -2196,7 +2196,7 @@ test interp-27.3 {interp aliases & namespaces} -setup { set i [interp create] } -body { set aliasTrace {} - proc tstAlias {args} { + proc tstAlias {args} { global aliasTrace lappend aliasTrace [list [namespace current] $args] } @@ -2212,7 +2212,7 @@ test interp-27.4 {interp aliases & namespaces} -setup { } -body { namespace eval foo2 { variable aliasTrace {} - proc bar {args} { + proc bar {args} { variable aliasTrace lappend aliasTrace [list [namespace current] $args] } @@ -3289,7 +3289,7 @@ test interp-34.9 {time limits trigger in blocking after} { } msg] set t1 [clock seconds] interp delete $i - list $code $msg [expr {($t1-$t0) < 3 ? "OK" : $t1-$t0}] + list $code $msg [expr {($t1-$t0) < 3 ? "OK" : $t1-$t0}] } {1 {time limit exceeded} OK} test interp-34.10 {time limits trigger in vwaits: Bug 1221395} -body { set i [interp create] @@ -3523,7 +3523,7 @@ test interp-35.24 {interp time limits can't touch current interp} -body { test interp-36.1 {interp bgerror syntax} -body { interp bgerror } -returnCodes error -result {wrong # args: should be "interp bgerror path ?cmdPrefix?"} -test interp-36.2 {interp bgerror syntax} -body { +test interp-36.2 {interp bgerror syntax} -body { interp bgerror x y z } -returnCodes error -result {wrong # args: should be "interp bgerror path ?cmdPrefix?"} test interp-36.3 {interp bgerror syntax} -setup { diff --git a/tests/io.test b/tests/io.test index 6b6ad6d..46856b6 100644 --- a/tests/io.test +++ b/tests/io.test @@ -123,10 +123,10 @@ test io-1.8 {Tcl_WriteChars: WriteChars} { # applied to tcl will cause tcl, more specifically WriteChars, to # go into an infinite loop. - set f [open $path(test2) w] - fconfigure $f -encoding iso2022-jp - puts -nonewline $f [format %s%c [string repeat " " 4] 12399] - close $f + set f [open $path(test2) w] + fconfigure $f -encoding iso2022-jp + puts -nonewline $f [format %s%c [string repeat " " 4] 12399] + close $f contents $path(test2) } " \x1b\$B\$O\x1b(B" @@ -192,7 +192,7 @@ test io-1.9 {Tcl_WriteChars: WriteChars} { test io-2.1 {WriteBytes} { # loop until all bytes are written - + set f [open $path(test1) w] fconfigure $f -encoding binary -buffersize 16 -translation crlf puts $f "abcdefghijklmnopqrstuvwxyz" @@ -214,7 +214,7 @@ test io-2.3 {WriteBytes: flush on line} { # Tcl "line" buffering has weird behavior: if current buffer contains # a \n, entire buffer gets flushed. Logical behavior would be to flush # only up to the \n. - + set f [open $path(test1) w] fconfigure $f -encoding binary -buffering line -translation crlf puts -nonewline $f "\n12" @@ -234,7 +234,7 @@ test io-2.4 {WriteBytes: reset sawLF after each buffer} { test io-3.1 {WriteChars: compatibility with WriteBytes} { # loop until all bytes are written - + set f [open $path(test1) w] fconfigure $f -encoding ascii -buffersize 16 -translation crlf puts $f "abcdefghijklmnopqrstuvwxyz" @@ -256,7 +256,7 @@ test io-3.3 {WriteChars: compatibility with WriteBytes: flush on line} { # Tcl "line" buffering has weird behavior: if current buffer contains # a \n, entire buffer gets flushed. Logical behavior would be to flush # only up to the \n. - + set f [open $path(test1) w] fconfigure $f -encoding ascii -buffering line -translation crlf puts -nonewline $f "\n12" @@ -268,7 +268,7 @@ test io-3.4 {WriteChars: loop over stage buffer} { # stage buffer maps to more than can be queued at once. set f [open $path(test1) w] - fconfigure $f -encoding jis0208 -buffersize 16 + fconfigure $f -encoding jis0208 -buffersize 16 puts -nonewline $f "\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\" set x [list [contents $path(test1)]] close $f @@ -280,7 +280,7 @@ test io-3.5 {WriteChars: saved != 0} { # requested buffersize. set f [open $path(test1) w] - fconfigure $f -encoding jis0208 -buffersize 17 + fconfigure $f -encoding jis0208 -buffersize 17 puts -nonewline $f "\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\" set x [list [contents $path(test1)]] close $f @@ -311,7 +311,7 @@ test io-3.7 {WriteChars: (bufPtr->nextAdded > bufPtr->length)} { # of the next channel buffer. set f [open $path(test1) w] - fconfigure $f -encoding jis0208 -buffersize 17 + fconfigure $f -encoding jis0208 -buffersize 17 puts -nonewline $f "\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\" set x [list [contents $path(test1)]] close $f @@ -381,7 +381,7 @@ test io-4.5 {TranslateOutputEOL: crlf} { test io-5.1 {CheckFlush: not full} { set f [open $path(test1) w] - fconfigure $f + fconfigure $f puts -nonewline $f "12345678901234567890" set x [list [contents $path(test1)]] close $f @@ -470,7 +470,7 @@ set a "bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb" append a $a append a $a test io-6.6 {Tcl_GetsObj: loop test} { - # if (dst >= dstEnd) + # if (dst >= dstEnd) set f [open $path(test1) w] puts $f $a @@ -769,7 +769,7 @@ test io-6.32 {Tcl_GetsObj: crlf mode: buffer exhausted, more data} {testchannel} } [list 15 "123456789012345" 17 3] test io-6.33 {Tcl_GetsObj: crlf mode: buffer exhausted, at eof} { # eol still equals dstEnd - + set f [open $path(test1) w] fconfigure $f -translation lf puts -nonewline $f "123456789012345\r" @@ -781,8 +781,8 @@ test io-6.33 {Tcl_GetsObj: crlf mode: buffer exhausted, at eof} { set x } [list 16 "123456789012345\r" 1] test io-6.34 {Tcl_GetsObj: crlf mode: buffer exhausted, not followed by \n} { - # not (*eol == '\n') - + # not (*eol == '\n') + set f [open $path(test1) w] fconfigure $f -translation lf puts -nonewline $f "123456789012345\rabcd\r\nefg" @@ -889,7 +889,7 @@ test io-6.43 {Tcl_GetsObj: input saw cr} {stdio testchannel openpipe fileevent} fconfigure $f -buffersize 16 set x [list [gets $f]] fconfigure $f -blocking 0 - lappend x [gets $f line] $line [testchannel queuedcr $f] + lappend x [gets $f line] $line [testchannel queuedcr $f] fconfigure $f -blocking 1 puts -nonewline $f "\nabcd\refg\x1a" lappend x [gets $f line] $line [testchannel queuedcr $f] @@ -898,7 +898,7 @@ test io-6.43 {Tcl_GetsObj: input saw cr} {stdio testchannel openpipe fileevent} set x } [list "bbbbbbbbbbbbbbb" 15 "123456789abcdef" 1 4 "abcd" 0 3 "efg"] test io-6.44 {Tcl_GetsObj: input saw cr, not followed by cr} {stdio testchannel openpipe fileevent} { - # not (*eol == '\n') + # not (*eol == '\n') set f [open "|[list [interpreter] $path(cat)]" w+] fconfigure $f -translation {auto lf} -buffering none @@ -906,7 +906,7 @@ test io-6.44 {Tcl_GetsObj: input saw cr, not followed by cr} {stdio testchannel fconfigure $f -buffersize 16 set x [list [gets $f]] fconfigure $f -blocking 0 - lappend x [gets $f line] $line [testchannel queuedcr $f] + lappend x [gets $f line] $line [testchannel queuedcr $f] fconfigure $f -blocking 1 puts -nonewline $f "abcd\refg\x1a" lappend x [gets $f line] $line [testchannel queuedcr $f] @@ -959,10 +959,10 @@ test io-6.47 {Tcl_GetsObj: auto mode: \r at end of buffer, peek for \n} {testcha set x [list [gets $f] [testchannel inputbuffered $f]] close $f set x -} [list "123456789012345" 15] +} [list "123456789012345" 15] test io-6.48 {Tcl_GetsObj: auto mode: \r at end of buffer, no more avail} {testchannel} { # PeekAhead() did not get any, so (eol >= dstEnd) - + set f [open $path(test1) w] fconfigure $f -translation lf puts -nonewline $f "123456789012345\r" @@ -975,7 +975,7 @@ test io-6.48 {Tcl_GetsObj: auto mode: \r at end of buffer, no more avail} {testc } [list "123456789012345" 1] test io-6.49 {Tcl_GetsObj: auto mode: \r followed by \n} {testchannel} { # if (*eol == '\n') {skip++} - + set f [open $path(test1) w] fconfigure $f -translation lf puts -nonewline $f "123456\r\n78901" @@ -986,8 +986,8 @@ test io-6.49 {Tcl_GetsObj: auto mode: \r followed by \n} {testchannel} { set x } [list "123456" 0 8 "78901"] test io-6.50 {Tcl_GetsObj: auto mode: \r not followed by \n} {testchannel} { - # not (*eol == '\n') - + # not (*eol == '\n') + set f [open $path(test1) w] fconfigure $f -translation lf puts -nonewline $f "123456\r78901" @@ -999,7 +999,7 @@ test io-6.50 {Tcl_GetsObj: auto mode: \r not followed by \n} {testchannel} { } [list "123456" 0 7 "78901"] test io-6.51 {Tcl_GetsObj: auto mode: \n} { # else if (*eol == '\n') {goto gotoeol;} - + set f [open $path(test1) w] fconfigure $f -translation lf puts -nonewline $f "123456\n78901" @@ -1092,7 +1092,7 @@ test io-7.1 {FilterInputBytes: split up character at end of buffer} { } "1234567890123\uff10\uff11\uff12\uff13\uff14" test io-7.2 {FilterInputBytes: split up character in middle of buffer} { # (bufPtr->nextAdded < bufPtr->bufLength) - + set f [open $path(test1) w] fconfigure $f -encoding binary puts -nonewline $f "1234567890\n123\x82\x4f\x82\x50\x82" @@ -1201,7 +1201,7 @@ test io-8.4 {PeekAhead: cached data available in this buffer} { set x [gets $f] close $f - set x + set x } $a unset a test io-8.5 {PeekAhead: don't peek if last read was short} {stdio testchannel openpipe fileevent} { @@ -1217,7 +1217,7 @@ test io-8.5 {PeekAhead: don't peek if last read was short} {stdio testchannel op set x } {15 abcdefghijklmno 1} test io-8.6 {PeekAhead: change to non-blocking mode} {stdio testchannel openpipe fileevent} { - # ((chanPtr->flags & CHANNEL_NONBLOCKING) == 0) + # ((chanPtr->flags & CHANNEL_NONBLOCKING) == 0) set f [open "|[list [interpreter] $path(cat)]" w+] fconfigure $f -translation {auto binary} -buffersize 16 @@ -1574,7 +1574,7 @@ test io-13.2 {TranslateInputEOL: crlf mode} { set x } "abcd\ndef\n" test io-13.3 {TranslateInputEOL: crlf mode: naked cr} { - # (src >= srcMax) + # (src >= srcMax) set f [open $path(test1) w] fconfigure $f -translation lf @@ -1587,7 +1587,7 @@ test io-13.3 {TranslateInputEOL: crlf mode: naked cr} { set x } "abcd\ndef\r" test io-13.4 {TranslateInputEOL: crlf mode: cr followed by not \n} { - # (src >= srcMax) + # (src >= srcMax) set f [open $path(test1) w] fconfigure $f -translation lf @@ -1600,7 +1600,7 @@ test io-13.4 {TranslateInputEOL: crlf mode: cr followed by not \n} { set x } "abcd\ndef\rfgh" test io-13.5 {TranslateInputEOL: crlf mode: naked lf} { - # (src >= srcMax) + # (src >= srcMax) set f [open $path(test1) w] fconfigure $f -translation lf @@ -1715,7 +1715,7 @@ test io-13.9 {TranslateInputEOL: auto mode: \r followed by not \n} { set x } "abcd\ndef" test io-13.10 {TranslateInputEOL: auto mode: \n} { - # not (*src == '\r') + # not (*src == '\r') set f [open $path(test1) w] fconfigure $f -translation lf @@ -2064,7 +2064,7 @@ test io-20.1 {Tcl_CreateChannel: initial settings} { encoding system $old close $a set x -} {ascii} +} {ascii} test io-20.2 {Tcl_CreateChannel: initial settings} {win} { set f [open $path(test1) w+] set x [list [fconfigure $f -eofchar] [fconfigure $f -translation]] @@ -2159,7 +2159,7 @@ test io-26.1 {Tcl_GetChannelInstanceData} {stdio openpipe} { set f [open "|[list [interpreter] << exit]"] expr [pid $f] close $f -} {} +} {} # Test flushing. The functions tested here are FlushChannel. @@ -3057,7 +3057,7 @@ test io-30.6 {Tcl_Write cr, Tcl_Read crlf} { fconfigure $f -translation crlf set x [read $f] close $f - set x + set x } "hello\rthere\rand\rhere\r" test io-30.7 {Tcl_Write crlf, Tcl_Read crlf} { file delete $path(test1) @@ -3985,7 +3985,7 @@ test io-31.31 {Tcl_Write crlf on block boundary, Tcl_Gets crlf} { } close $f set f [open $path(test1) r] - fconfigure $f -translation crlf + fconfigure $f -translation crlf set c "" while {[gets $f line] >= 0} { append c $line\n @@ -5467,7 +5467,7 @@ test io-39.13 {Tcl_SetChannelOption, Tcl_GetChannelOption, buffer size} { test io-39.14 {Tcl_SetChannelOption: -encoding, binary & utf-8} { file delete $path(test1) set f [open $path(test1) w] - fconfigure $f -encoding {} + fconfigure $f -encoding {} puts -nonewline $f \xe7\x89\xa6 close $f set f [open $path(test1) r] diff --git a/tests/ioTrans.test b/tests/ioTrans.test index e179eab..63a609f 100644 --- a/tests/ioTrans.test +++ b/tests/ioTrans.test @@ -1318,7 +1318,7 @@ proc inthread {chan script args} { # forwarded channel operations. set ::tres "" - thread::send -async $tid { + thread::send -async $tid { after 50 catch {s} res; # This runs the script, 's' was defined at (*) thread::send -async $mid [list set ::tres $res] diff --git a/tests/iogt.test b/tests/iogt.test index 1ed89f7..aa579bf 100644 --- a/tests/iogt.test +++ b/tests/iogt.test @@ -5,7 +5,7 @@ # # See the file "license.terms" for information on usage and redistribution of # this file, and for a DISCLAIMER OF ALL WARRANTIES. -# +# # Copyright (c) 2000 Ajuba Solutions. # Copyright (c) 2000 Andreas Kupries. # All rights reserved. diff --git a/tests/lindex.test b/tests/lindex.test index b86e2e0..29eb898 100644 --- a/tests/lindex.test +++ b/tests/lindex.test @@ -432,7 +432,7 @@ test lindex-16.7 {data reuse} { test lindex-17.0 {Bug 1718580} {*}{ -body { lindex {} end foo - } + } -match glob -result {bad index "foo"*} -returnCodes 1 @@ -441,7 +441,7 @@ test lindex-17.0 {Bug 1718580} {*}{ test lindex-17.1 {Bug 1718580} {*}{ -body { lindex a end foo - } + } -match glob -result {bad index "foo"*} -returnCodes 1 diff --git a/tests/lmap.test b/tests/lmap.test index 08035d9..641eac2 100644 --- a/tests/lmap.test +++ b/tests/lmap.test @@ -220,10 +220,10 @@ test lmap-4.14 {lmap errors} -returnCodes error -body { } -result {list element in braces followed by "3" instead of space} unset -nocomplain a test lmap-4.15 {lmap errors} { - apply {{} { + apply {{} { set a(0) 44 - list [catch {lmap a {1 2 3} {}} msg o] $msg $::errorInfo - }} + list [catch {lmap a {1 2 3} {}} msg o] $msg $::errorInfo + }} } {1 {can't set "a": variable is array} {can't set "a": variable is array while executing "lmap a {1 2 3} {}"}} diff --git a/tests/lrange.test b/tests/lrange.test index 17a757e..02b9c65 100644 --- a/tests/lrange.test +++ b/tests/lrange.test @@ -63,7 +63,7 @@ test lrange-1.15 {range of list elements} { } {"a b \{\ "} # emacs highlighting bug workaround --> " test lrange-1.16 {list element quoting} { - lrange {[append a .b]} 0 end + lrange {[append a .b]} 0 end } {{[append} a .b\]} test lrange-2.1 {error conditions} { diff --git a/tests/lrepeat.test b/tests/lrepeat.test index 788bb9b..e89f1b7 100644 --- a/tests/lrepeat.test +++ b/tests/lrepeat.test @@ -40,7 +40,7 @@ test lrepeat-1.4 {error cases} { lrepeat -3 1 } -returnCodes 1 - -result {bad count "-3": must be integer >= 0} + -result {bad count "-3": must be integer >= 0} } test lrepeat-1.5 {Accept zero repetitions (TIP 323)} { -body { @@ -53,7 +53,7 @@ test lrepeat-1.6 {error cases} { lrepeat 3.5 1 } -returnCodes 1 - -result {expected integer but got "3.5"} + -result {expected integer but got "3.5"} } test lrepeat-1.7 {Accept zero repetitions (TIP 323)} { -body { diff --git a/tests/lsearch.test b/tests/lsearch.test index f36e987..b2c1812 100644 --- a/tests/lsearch.test +++ b/tests/lsearch.test @@ -404,16 +404,16 @@ test lsearch-17.2 {lsearch -index option, basic functionality} { lsearch -index 1 -exact {{a c} {a b} {a a}} a } 2 test lsearch-17.3 {lsearch -index option, basic functionality} { - lsearch -index 1 -glob {{ab cb} {ab bb} {ab ab}} b* + lsearch -index 1 -glob {{ab cb} {ab bb} {ab ab}} b* } 1 test lsearch-17.4 {lsearch -index option, basic functionality} { lsearch -index 1 -regexp {{ab cb} {ab bb} {ab ab}} {[cb]b} -} 0 +} 0 test lsearch-17.5 {lsearch -index option, basic functionality} { lsearch -all -index 0 -exact {{a c} {a b} {d a}} a } {0 1} test lsearch-17.6 {lsearch -index option, basic functionality} { - lsearch -all -index 1 -glob {{ab cb} {ab bb} {db bx}} b* + lsearch -all -index 1 -glob {{ab cb} {ab bb} {db bx}} b* } {1 2} test lsearch-17.7 {lsearch -index option, basic functionality} { lsearch -all -index 1 -regexp {{ab cb} {ab bb} {ab ab}} {[cb]b} @@ -426,11 +426,11 @@ test lsearch-18.2 {lsearch -index option, list as index basic functionality} { lsearch -index {2 0} -exact {{{x x} {x b} {a d}} {{a c} {a b} {a a}}} a } 0 test lsearch-18.3 {lsearch -index option, list as index basic functionality} { - lsearch -index {1 1} -glob {{{ab cb} {ab bb} {ab ab}} {{ab cb} {ab bb} {ab ab}}} b* + lsearch -index {1 1} -glob {{{ab cb} {ab bb} {ab ab}} {{ab cb} {ab bb} {ab ab}}} b* } 0 test lsearch-18.4 {lsearch -index option, list as index basic functionality} { lsearch -index {0 1} -regexp {{{ab cb} {ab bb} {ab ab}} {{ab cb} {ab bb} {ab ab}}} {[cb]b} -} 0 +} 0 test lsearch-18.5 {lsearch -index option, list as index basic functionality} { lsearch -all -index {0 0} -exact {{{a c} {a b} {d a}} {{a c} {a b} {d a}}} a } {0 1} @@ -442,11 +442,11 @@ test lsearch-19.2 {lsearch -sunindices option} { lsearch -subindices -index {2 0} -exact {{{x x} {x b} {a d}} {{a c} {a b} {a a}}} a } {0 2 0} test lsearch-19.3 {lsearch -sunindices option} { - lsearch -subindices -index {1 1} -glob {{{ab cb} {ab bb} {ab ab}} {{ab cb} {ab bb} {ab ab}}} b* + lsearch -subindices -index {1 1} -glob {{{ab cb} {ab bb} {ab ab}} {{ab cb} {ab bb} {ab ab}}} b* } {0 1 1} test lsearch-19.4 {lsearch -sunindices option} { lsearch -subindices -index {0 1} -regexp {{{ab cb} {ab bb} {ab ab}} {{ab cb} {ab bb} {ab ab}}} {[cb]b} -} {0 0 1} +} {0 0 1} test lsearch-19.5 {lsearch -sunindices option} { lsearch -subindices -all -index {0 0} -exact {{{a c} {a b} {d a}} {{a c} {a b} {d a}}} a } {{0 0 0} {1 0 0}} diff --git a/tests/lsetComp.test b/tests/lsetComp.test index 6846cbf..6330de4 100644 --- a/tests/lsetComp.test +++ b/tests/lsetComp.test @@ -22,7 +22,7 @@ if {[lsearch [namespace children] ::tcltest] == -1} { proc evalInProc { script } { proc testProc {} $script set status [catch { - testProc + testProc } result] rename testProc {} return [list $status $result] @@ -60,69 +60,69 @@ test lsetComp-2.3 {lset, compiled, list of args, scalar, one-byte offset} { test lsetComp-2.4 {lset, compiled, list of args, scalar, four-byte offset} { evalInProc { - set x0 0; set x1 0; set x2 0; set x3 0; - set x4 0; set x5 0; set x6 0; set x7 0; - set x8 0; set x9 0; set x10 0; set x11 0; - set x12 0; set x13 0; set x14 0; set x15 0; - set x16 0; set x17 0; set x18 0; set x19 0; - set x20 0; set x21 0; set x22 0; set x23 0; - set x24 0; set x25 0; set x26 0; set x27 0; - set x28 0; set x29 0; set x30 0; set x31 0; - set x32 0; set x33 0; set x34 0; set x35 0; - set x36 0; set x37 0; set x38 0; set x39 0; - set x40 0; set x41 0; set x42 0; set x43 0; - set x44 0; set x45 0; set x46 0; set x47 0; - set x48 0; set x49 0; set x50 0; set x51 0; - set x52 0; set x53 0; set x54 0; set x55 0; - set x56 0; set x57 0; set x58 0; set x59 0; - set x60 0; set x61 0; set x62 0; set x63 0; - set x64 0; set x65 0; set x66 0; set x67 0; - set x68 0; set x69 0; set x70 0; set x71 0; - set x72 0; set x73 0; set x74 0; set x75 0; - set x76 0; set x77 0; set x78 0; set x79 0; - set x80 0; set x81 0; set x82 0; set x83 0; - set x84 0; set x85 0; set x86 0; set x87 0; - set x88 0; set x89 0; set x90 0; set x91 0; - set x92 0; set x93 0; set x94 0; set x95 0; - set x96 0; set x97 0; set x98 0; set x99 0; - set x100 0; set x101 0; set x102 0; set x103 0; - set x104 0; set x105 0; set x106 0; set x107 0; - set x108 0; set x109 0; set x110 0; set x111 0; - set x112 0; set x113 0; set x114 0; set x115 0; - set x116 0; set x117 0; set x118 0; set x119 0; - set x120 0; set x121 0; set x122 0; set x123 0; - set x124 0; set x125 0; set x126 0; set x127 0; - set x128 0; set x129 0; set x130 0; set x131 0; - set x132 0; set x133 0; set x134 0; set x135 0; - set x136 0; set x137 0; set x138 0; set x139 0; - set x140 0; set x141 0; set x142 0; set x143 0; - set x144 0; set x145 0; set x146 0; set x147 0; - set x148 0; set x149 0; set x150 0; set x151 0; - set x152 0; set x153 0; set x154 0; set x155 0; - set x156 0; set x157 0; set x158 0; set x159 0; - set x160 0; set x161 0; set x162 0; set x163 0; - set x164 0; set x165 0; set x166 0; set x167 0; - set x168 0; set x169 0; set x170 0; set x171 0; - set x172 0; set x173 0; set x174 0; set x175 0; - set x176 0; set x177 0; set x178 0; set x179 0; - set x180 0; set x181 0; set x182 0; set x183 0; - set x184 0; set x185 0; set x186 0; set x187 0; - set x188 0; set x189 0; set x190 0; set x191 0; - set x192 0; set x193 0; set x194 0; set x195 0; - set x196 0; set x197 0; set x198 0; set x199 0; - set x200 0; set x201 0; set x202 0; set x203 0; - set x204 0; set x205 0; set x206 0; set x207 0; - set x208 0; set x209 0; set x210 0; set x211 0; - set x212 0; set x213 0; set x214 0; set x215 0; - set x216 0; set x217 0; set x218 0; set x219 0; - set x220 0; set x221 0; set x222 0; set x223 0; - set x224 0; set x225 0; set x226 0; set x227 0; - set x228 0; set x229 0; set x230 0; set x231 0; - set x232 0; set x233 0; set x234 0; set x235 0; - set x236 0; set x237 0; set x238 0; set x239 0; - set x240 0; set x241 0; set x242 0; set x243 0; - set x244 0; set x245 0; set x246 0; set x247 0; - set x248 0; set x249 0; set x250 0; set x251 0; + set x0 0; set x1 0; set x2 0; set x3 0; + set x4 0; set x5 0; set x6 0; set x7 0; + set x8 0; set x9 0; set x10 0; set x11 0; + set x12 0; set x13 0; set x14 0; set x15 0; + set x16 0; set x17 0; set x18 0; set x19 0; + set x20 0; set x21 0; set x22 0; set x23 0; + set x24 0; set x25 0; set x26 0; set x27 0; + set x28 0; set x29 0; set x30 0; set x31 0; + set x32 0; set x33 0; set x34 0; set x35 0; + set x36 0; set x37 0; set x38 0; set x39 0; + set x40 0; set x41 0; set x42 0; set x43 0; + set x44 0; set x45 0; set x46 0; set x47 0; + set x48 0; set x49 0; set x50 0; set x51 0; + set x52 0; set x53 0; set x54 0; set x55 0; + set x56 0; set x57 0; set x58 0; set x59 0; + set x60 0; set x61 0; set x62 0; set x63 0; + set x64 0; set x65 0; set x66 0; set x67 0; + set x68 0; set x69 0; set x70 0; set x71 0; + set x72 0; set x73 0; set x74 0; set x75 0; + set x76 0; set x77 0; set x78 0; set x79 0; + set x80 0; set x81 0; set x82 0; set x83 0; + set x84 0; set x85 0; set x86 0; set x87 0; + set x88 0; set x89 0; set x90 0; set x91 0; + set x92 0; set x93 0; set x94 0; set x95 0; + set x96 0; set x97 0; set x98 0; set x99 0; + set x100 0; set x101 0; set x102 0; set x103 0; + set x104 0; set x105 0; set x106 0; set x107 0; + set x108 0; set x109 0; set x110 0; set x111 0; + set x112 0; set x113 0; set x114 0; set x115 0; + set x116 0; set x117 0; set x118 0; set x119 0; + set x120 0; set x121 0; set x122 0; set x123 0; + set x124 0; set x125 0; set x126 0; set x127 0; + set x128 0; set x129 0; set x130 0; set x131 0; + set x132 0; set x133 0; set x134 0; set x135 0; + set x136 0; set x137 0; set x138 0; set x139 0; + set x140 0; set x141 0; set x142 0; set x143 0; + set x144 0; set x145 0; set x146 0; set x147 0; + set x148 0; set x149 0; set x150 0; set x151 0; + set x152 0; set x153 0; set x154 0; set x155 0; + set x156 0; set x157 0; set x158 0; set x159 0; + set x160 0; set x161 0; set x162 0; set x163 0; + set x164 0; set x165 0; set x166 0; set x167 0; + set x168 0; set x169 0; set x170 0; set x171 0; + set x172 0; set x173 0; set x174 0; set x175 0; + set x176 0; set x177 0; set x178 0; set x179 0; + set x180 0; set x181 0; set x182 0; set x183 0; + set x184 0; set x185 0; set x186 0; set x187 0; + set x188 0; set x189 0; set x190 0; set x191 0; + set x192 0; set x193 0; set x194 0; set x195 0; + set x196 0; set x197 0; set x198 0; set x199 0; + set x200 0; set x201 0; set x202 0; set x203 0; + set x204 0; set x205 0; set x206 0; set x207 0; + set x208 0; set x209 0; set x210 0; set x211 0; + set x212 0; set x213 0; set x214 0; set x215 0; + set x216 0; set x217 0; set x218 0; set x219 0; + set x220 0; set x221 0; set x222 0; set x223 0; + set x224 0; set x225 0; set x226 0; set x227 0; + set x228 0; set x229 0; set x230 0; set x231 0; + set x232 0; set x233 0; set x234 0; set x235 0; + set x236 0; set x237 0; set x238 0; set x239 0; + set x240 0; set x241 0; set x242 0; set x243 0; + set x244 0; set x245 0; set x246 0; set x247 0; + set x248 0; set x249 0; set x250 0; set x251 0; set x252 0; set x253 0; set x254 0; set x255 0; set x {{1 2} {3 4}} lset x {1 1} 5 @@ -145,69 +145,69 @@ test lsetComp-2.6 {lset, compiled, list of args, array, one-byte offset} { test lsetComp-2.7 {lset, compiled, list of args, array, four-byte offset} { evalInProc { - set x0 0; set x1 0; set x2 0; set x3 0; - set x4 0; set x5 0; set x6 0; set x7 0; - set x8 0; set x9 0; set x10 0; set x11 0; - set x12 0; set x13 0; set x14 0; set x15 0; - set x16 0; set x17 0; set x18 0; set x19 0; - set x20 0; set x21 0; set x22 0; set x23 0; - set x24 0; set x25 0; set x26 0; set x27 0; - set x28 0; set x29 0; set x30 0; set x31 0; - set x32 0; set x33 0; set x34 0; set x35 0; - set x36 0; set x37 0; set x38 0; set x39 0; - set x40 0; set x41 0; set x42 0; set x43 0; - set x44 0; set x45 0; set x46 0; set x47 0; - set x48 0; set x49 0; set x50 0; set x51 0; - set x52 0; set x53 0; set x54 0; set x55 0; - set x56 0; set x57 0; set x58 0; set x59 0; - set x60 0; set x61 0; set x62 0; set x63 0; - set x64 0; set x65 0; set x66 0; set x67 0; - set x68 0; set x69 0; set x70 0; set x71 0; - set x72 0; set x73 0; set x74 0; set x75 0; - set x76 0; set x77 0; set x78 0; set x79 0; - set x80 0; set x81 0; set x82 0; set x83 0; - set x84 0; set x85 0; set x86 0; set x87 0; - set x88 0; set x89 0; set x90 0; set x91 0; - set x92 0; set x93 0; set x94 0; set x95 0; - set x96 0; set x97 0; set x98 0; set x99 0; - set x100 0; set x101 0; set x102 0; set x103 0; - set x104 0; set x105 0; set x106 0; set x107 0; - set x108 0; set x109 0; set x110 0; set x111 0; - set x112 0; set x113 0; set x114 0; set x115 0; - set x116 0; set x117 0; set x118 0; set x119 0; - set x120 0; set x121 0; set x122 0; set x123 0; - set x124 0; set x125 0; set x126 0; set x127 0; - set x128 0; set x129 0; set x130 0; set x131 0; - set x132 0; set x133 0; set x134 0; set x135 0; - set x136 0; set x137 0; set x138 0; set x139 0; - set x140 0; set x141 0; set x142 0; set x143 0; - set x144 0; set x145 0; set x146 0; set x147 0; - set x148 0; set x149 0; set x150 0; set x151 0; - set x152 0; set x153 0; set x154 0; set x155 0; - set x156 0; set x157 0; set x158 0; set x159 0; - set x160 0; set x161 0; set x162 0; set x163 0; - set x164 0; set x165 0; set x166 0; set x167 0; - set x168 0; set x169 0; set x170 0; set x171 0; - set x172 0; set x173 0; set x174 0; set x175 0; - set x176 0; set x177 0; set x178 0; set x179 0; - set x180 0; set x181 0; set x182 0; set x183 0; - set x184 0; set x185 0; set x186 0; set x187 0; - set x188 0; set x189 0; set x190 0; set x191 0; - set x192 0; set x193 0; set x194 0; set x195 0; - set x196 0; set x197 0; set x198 0; set x199 0; - set x200 0; set x201 0; set x202 0; set x203 0; - set x204 0; set x205 0; set x206 0; set x207 0; - set x208 0; set x209 0; set x210 0; set x211 0; - set x212 0; set x213 0; set x214 0; set x215 0; - set x216 0; set x217 0; set x218 0; set x219 0; - set x220 0; set x221 0; set x222 0; set x223 0; - set x224 0; set x225 0; set x226 0; set x227 0; - set x228 0; set x229 0; set x230 0; set x231 0; - set x232 0; set x233 0; set x234 0; set x235 0; - set x236 0; set x237 0; set x238 0; set x239 0; - set x240 0; set x241 0; set x242 0; set x243 0; - set x244 0; set x245 0; set x246 0; set x247 0; - set x248 0; set x249 0; set x250 0; set x251 0; + set x0 0; set x1 0; set x2 0; set x3 0; + set x4 0; set x5 0; set x6 0; set x7 0; + set x8 0; set x9 0; set x10 0; set x11 0; + set x12 0; set x13 0; set x14 0; set x15 0; + set x16 0; set x17 0; set x18 0; set x19 0; + set x20 0; set x21 0; set x22 0; set x23 0; + set x24 0; set x25 0; set x26 0; set x27 0; + set x28 0; set x29 0; set x30 0; set x31 0; + set x32 0; set x33 0; set x34 0; set x35 0; + set x36 0; set x37 0; set x38 0; set x39 0; + set x40 0; set x41 0; set x42 0; set x43 0; + set x44 0; set x45 0; set x46 0; set x47 0; + set x48 0; set x49 0; set x50 0; set x51 0; + set x52 0; set x53 0; set x54 0; set x55 0; + set x56 0; set x57 0; set x58 0; set x59 0; + set x60 0; set x61 0; set x62 0; set x63 0; + set x64 0; set x65 0; set x66 0; set x67 0; + set x68 0; set x69 0; set x70 0; set x71 0; + set x72 0; set x73 0; set x74 0; set x75 0; + set x76 0; set x77 0; set x78 0; set x79 0; + set x80 0; set x81 0; set x82 0; set x83 0; + set x84 0; set x85 0; set x86 0; set x87 0; + set x88 0; set x89 0; set x90 0; set x91 0; + set x92 0; set x93 0; set x94 0; set x95 0; + set x96 0; set x97 0; set x98 0; set x99 0; + set x100 0; set x101 0; set x102 0; set x103 0; + set x104 0; set x105 0; set x106 0; set x107 0; + set x108 0; set x109 0; set x110 0; set x111 0; + set x112 0; set x113 0; set x114 0; set x115 0; + set x116 0; set x117 0; set x118 0; set x119 0; + set x120 0; set x121 0; set x122 0; set x123 0; + set x124 0; set x125 0; set x126 0; set x127 0; + set x128 0; set x129 0; set x130 0; set x131 0; + set x132 0; set x133 0; set x134 0; set x135 0; + set x136 0; set x137 0; set x138 0; set x139 0; + set x140 0; set x141 0; set x142 0; set x143 0; + set x144 0; set x145 0; set x146 0; set x147 0; + set x148 0; set x149 0; set x150 0; set x151 0; + set x152 0; set x153 0; set x154 0; set x155 0; + set x156 0; set x157 0; set x158 0; set x159 0; + set x160 0; set x161 0; set x162 0; set x163 0; + set x164 0; set x165 0; set x166 0; set x167 0; + set x168 0; set x169 0; set x170 0; set x171 0; + set x172 0; set x173 0; set x174 0; set x175 0; + set x176 0; set x177 0; set x178 0; set x179 0; + set x180 0; set x181 0; set x182 0; set x183 0; + set x184 0; set x185 0; set x186 0; set x187 0; + set x188 0; set x189 0; set x190 0; set x191 0; + set x192 0; set x193 0; set x194 0; set x195 0; + set x196 0; set x197 0; set x198 0; set x199 0; + set x200 0; set x201 0; set x202 0; set x203 0; + set x204 0; set x205 0; set x206 0; set x207 0; + set x208 0; set x209 0; set x210 0; set x211 0; + set x212 0; set x213 0; set x214 0; set x215 0; + set x216 0; set x217 0; set x218 0; set x219 0; + set x220 0; set x221 0; set x222 0; set x223 0; + set x224 0; set x225 0; set x226 0; set x227 0; + set x228 0; set x229 0; set x230 0; set x231 0; + set x232 0; set x233 0; set x234 0; set x235 0; + set x236 0; set x237 0; set x238 0; set x239 0; + set x240 0; set x241 0; set x242 0; set x243 0; + set x244 0; set x245 0; set x246 0; set x247 0; + set x248 0; set x249 0; set x250 0; set x251 0; set x252 0; set x253 0; set x254 0; set x255 0; set y(0) {{1 2} {3 4}} lset y(0) {1 1} 5 @@ -253,69 +253,69 @@ test lsetComp-3.3 {lset, compiled, flat args, scalar, one-byte offset} { test lsetComp-3.4 {lset, compiled, scalar, four-byte offset} { evalInProc { - set x0 0; set x1 0; set x2 0; set x3 0; - set x4 0; set x5 0; set x6 0; set x7 0; - set x8 0; set x9 0; set x10 0; set x11 0; - set x12 0; set x13 0; set x14 0; set x15 0; - set x16 0; set x17 0; set x18 0; set x19 0; - set x20 0; set x21 0; set x22 0; set x23 0; - set x24 0; set x25 0; set x26 0; set x27 0; - set x28 0; set x29 0; set x30 0; set x31 0; - set x32 0; set x33 0; set x34 0; set x35 0; - set x36 0; set x37 0; set x38 0; set x39 0; - set x40 0; set x41 0; set x42 0; set x43 0; - set x44 0; set x45 0; set x46 0; set x47 0; - set x48 0; set x49 0; set x50 0; set x51 0; - set x52 0; set x53 0; set x54 0; set x55 0; - set x56 0; set x57 0; set x58 0; set x59 0; - set x60 0; set x61 0; set x62 0; set x63 0; - set x64 0; set x65 0; set x66 0; set x67 0; - set x68 0; set x69 0; set x70 0; set x71 0; - set x72 0; set x73 0; set x74 0; set x75 0; - set x76 0; set x77 0; set x78 0; set x79 0; - set x80 0; set x81 0; set x82 0; set x83 0; - set x84 0; set x85 0; set x86 0; set x87 0; - set x88 0; set x89 0; set x90 0; set x91 0; - set x92 0; set x93 0; set x94 0; set x95 0; - set x96 0; set x97 0; set x98 0; set x99 0; - set x100 0; set x101 0; set x102 0; set x103 0; - set x104 0; set x105 0; set x106 0; set x107 0; - set x108 0; set x109 0; set x110 0; set x111 0; - set x112 0; set x113 0; set x114 0; set x115 0; - set x116 0; set x117 0; set x118 0; set x119 0; - set x120 0; set x121 0; set x122 0; set x123 0; - set x124 0; set x125 0; set x126 0; set x127 0; - set x128 0; set x129 0; set x130 0; set x131 0; - set x132 0; set x133 0; set x134 0; set x135 0; - set x136 0; set x137 0; set x138 0; set x139 0; - set x140 0; set x141 0; set x142 0; set x143 0; - set x144 0; set x145 0; set x146 0; set x147 0; - set x148 0; set x149 0; set x150 0; set x151 0; - set x152 0; set x153 0; set x154 0; set x155 0; - set x156 0; set x157 0; set x158 0; set x159 0; - set x160 0; set x161 0; set x162 0; set x163 0; - set x164 0; set x165 0; set x166 0; set x167 0; - set x168 0; set x169 0; set x170 0; set x171 0; - set x172 0; set x173 0; set x174 0; set x175 0; - set x176 0; set x177 0; set x178 0; set x179 0; - set x180 0; set x181 0; set x182 0; set x183 0; - set x184 0; set x185 0; set x186 0; set x187 0; - set x188 0; set x189 0; set x190 0; set x191 0; - set x192 0; set x193 0; set x194 0; set x195 0; - set x196 0; set x197 0; set x198 0; set x199 0; - set x200 0; set x201 0; set x202 0; set x203 0; - set x204 0; set x205 0; set x206 0; set x207 0; - set x208 0; set x209 0; set x210 0; set x211 0; - set x212 0; set x213 0; set x214 0; set x215 0; - set x216 0; set x217 0; set x218 0; set x219 0; - set x220 0; set x221 0; set x222 0; set x223 0; - set x224 0; set x225 0; set x226 0; set x227 0; - set x228 0; set x229 0; set x230 0; set x231 0; - set x232 0; set x233 0; set x234 0; set x235 0; - set x236 0; set x237 0; set x238 0; set x239 0; - set x240 0; set x241 0; set x242 0; set x243 0; - set x244 0; set x245 0; set x246 0; set x247 0; - set x248 0; set x249 0; set x250 0; set x251 0; + set x0 0; set x1 0; set x2 0; set x3 0; + set x4 0; set x5 0; set x6 0; set x7 0; + set x8 0; set x9 0; set x10 0; set x11 0; + set x12 0; set x13 0; set x14 0; set x15 0; + set x16 0; set x17 0; set x18 0; set x19 0; + set x20 0; set x21 0; set x22 0; set x23 0; + set x24 0; set x25 0; set x26 0; set x27 0; + set x28 0; set x29 0; set x30 0; set x31 0; + set x32 0; set x33 0; set x34 0; set x35 0; + set x36 0; set x37 0; set x38 0; set x39 0; + set x40 0; set x41 0; set x42 0; set x43 0; + set x44 0; set x45 0; set x46 0; set x47 0; + set x48 0; set x49 0; set x50 0; set x51 0; + set x52 0; set x53 0; set x54 0; set x55 0; + set x56 0; set x57 0; set x58 0; set x59 0; + set x60 0; set x61 0; set x62 0; set x63 0; + set x64 0; set x65 0; set x66 0; set x67 0; + set x68 0; set x69 0; set x70 0; set x71 0; + set x72 0; set x73 0; set x74 0; set x75 0; + set x76 0; set x77 0; set x78 0; set x79 0; + set x80 0; set x81 0; set x82 0; set x83 0; + set x84 0; set x85 0; set x86 0; set x87 0; + set x88 0; set x89 0; set x90 0; set x91 0; + set x92 0; set x93 0; set x94 0; set x95 0; + set x96 0; set x97 0; set x98 0; set x99 0; + set x100 0; set x101 0; set x102 0; set x103 0; + set x104 0; set x105 0; set x106 0; set x107 0; + set x108 0; set x109 0; set x110 0; set x111 0; + set x112 0; set x113 0; set x114 0; set x115 0; + set x116 0; set x117 0; set x118 0; set x119 0; + set x120 0; set x121 0; set x122 0; set x123 0; + set x124 0; set x125 0; set x126 0; set x127 0; + set x128 0; set x129 0; set x130 0; set x131 0; + set x132 0; set x133 0; set x134 0; set x135 0; + set x136 0; set x137 0; set x138 0; set x139 0; + set x140 0; set x141 0; set x142 0; set x143 0; + set x144 0; set x145 0; set x146 0; set x147 0; + set x148 0; set x149 0; set x150 0; set x151 0; + set x152 0; set x153 0; set x154 0; set x155 0; + set x156 0; set x157 0; set x158 0; set x159 0; + set x160 0; set x161 0; set x162 0; set x163 0; + set x164 0; set x165 0; set x166 0; set x167 0; + set x168 0; set x169 0; set x170 0; set x171 0; + set x172 0; set x173 0; set x174 0; set x175 0; + set x176 0; set x177 0; set x178 0; set x179 0; + set x180 0; set x181 0; set x182 0; set x183 0; + set x184 0; set x185 0; set x186 0; set x187 0; + set x188 0; set x189 0; set x190 0; set x191 0; + set x192 0; set x193 0; set x194 0; set x195 0; + set x196 0; set x197 0; set x198 0; set x199 0; + set x200 0; set x201 0; set x202 0; set x203 0; + set x204 0; set x205 0; set x206 0; set x207 0; + set x208 0; set x209 0; set x210 0; set x211 0; + set x212 0; set x213 0; set x214 0; set x215 0; + set x216 0; set x217 0; set x218 0; set x219 0; + set x220 0; set x221 0; set x222 0; set x223 0; + set x224 0; set x225 0; set x226 0; set x227 0; + set x228 0; set x229 0; set x230 0; set x231 0; + set x232 0; set x233 0; set x234 0; set x235 0; + set x236 0; set x237 0; set x238 0; set x239 0; + set x240 0; set x241 0; set x242 0; set x243 0; + set x244 0; set x245 0; set x246 0; set x247 0; + set x248 0; set x249 0; set x250 0; set x251 0; set x252 0; set x253 0; set x254 0; set x255 0; set x {{1 2} {3 4}} lset x 1 1 5 @@ -338,69 +338,69 @@ test lsetComp-3.6 {lset, compiled, flat args, array, one-byte offset} { test lsetComp-3.7 {lset, compiled, flat args, array, four-byte offset} { evalInProc { - set x0 0; set x1 0; set x2 0; set x3 0; - set x4 0; set x5 0; set x6 0; set x7 0; - set x8 0; set x9 0; set x10 0; set x11 0; - set x12 0; set x13 0; set x14 0; set x15 0; - set x16 0; set x17 0; set x18 0; set x19 0; - set x20 0; set x21 0; set x22 0; set x23 0; - set x24 0; set x25 0; set x26 0; set x27 0; - set x28 0; set x29 0; set x30 0; set x31 0; - set x32 0; set x33 0; set x34 0; set x35 0; - set x36 0; set x37 0; set x38 0; set x39 0; - set x40 0; set x41 0; set x42 0; set x43 0; - set x44 0; set x45 0; set x46 0; set x47 0; - set x48 0; set x49 0; set x50 0; set x51 0; - set x52 0; set x53 0; set x54 0; set x55 0; - set x56 0; set x57 0; set x58 0; set x59 0; - set x60 0; set x61 0; set x62 0; set x63 0; - set x64 0; set x65 0; set x66 0; set x67 0; - set x68 0; set x69 0; set x70 0; set x71 0; - set x72 0; set x73 0; set x74 0; set x75 0; - set x76 0; set x77 0; set x78 0; set x79 0; - set x80 0; set x81 0; set x82 0; set x83 0; - set x84 0; set x85 0; set x86 0; set x87 0; - set x88 0; set x89 0; set x90 0; set x91 0; - set x92 0; set x93 0; set x94 0; set x95 0; - set x96 0; set x97 0; set x98 0; set x99 0; - set x100 0; set x101 0; set x102 0; set x103 0; - set x104 0; set x105 0; set x106 0; set x107 0; - set x108 0; set x109 0; set x110 0; set x111 0; - set x112 0; set x113 0; set x114 0; set x115 0; - set x116 0; set x117 0; set x118 0; set x119 0; - set x120 0; set x121 0; set x122 0; set x123 0; - set x124 0; set x125 0; set x126 0; set x127 0; - set x128 0; set x129 0; set x130 0; set x131 0; - set x132 0; set x133 0; set x134 0; set x135 0; - set x136 0; set x137 0; set x138 0; set x139 0; - set x140 0; set x141 0; set x142 0; set x143 0; - set x144 0; set x145 0; set x146 0; set x147 0; - set x148 0; set x149 0; set x150 0; set x151 0; - set x152 0; set x153 0; set x154 0; set x155 0; - set x156 0; set x157 0; set x158 0; set x159 0; - set x160 0; set x161 0; set x162 0; set x163 0; - set x164 0; set x165 0; set x166 0; set x167 0; - set x168 0; set x169 0; set x170 0; set x171 0; - set x172 0; set x173 0; set x174 0; set x175 0; - set x176 0; set x177 0; set x178 0; set x179 0; - set x180 0; set x181 0; set x182 0; set x183 0; - set x184 0; set x185 0; set x186 0; set x187 0; - set x188 0; set x189 0; set x190 0; set x191 0; - set x192 0; set x193 0; set x194 0; set x195 0; - set x196 0; set x197 0; set x198 0; set x199 0; - set x200 0; set x201 0; set x202 0; set x203 0; - set x204 0; set x205 0; set x206 0; set x207 0; - set x208 0; set x209 0; set x210 0; set x211 0; - set x212 0; set x213 0; set x214 0; set x215 0; - set x216 0; set x217 0; set x218 0; set x219 0; - set x220 0; set x221 0; set x222 0; set x223 0; - set x224 0; set x225 0; set x226 0; set x227 0; - set x228 0; set x229 0; set x230 0; set x231 0; - set x232 0; set x233 0; set x234 0; set x235 0; - set x236 0; set x237 0; set x238 0; set x239 0; - set x240 0; set x241 0; set x242 0; set x243 0; - set x244 0; set x245 0; set x246 0; set x247 0; - set x248 0; set x249 0; set x250 0; set x251 0; + set x0 0; set x1 0; set x2 0; set x3 0; + set x4 0; set x5 0; set x6 0; set x7 0; + set x8 0; set x9 0; set x10 0; set x11 0; + set x12 0; set x13 0; set x14 0; set x15 0; + set x16 0; set x17 0; set x18 0; set x19 0; + set x20 0; set x21 0; set x22 0; set x23 0; + set x24 0; set x25 0; set x26 0; set x27 0; + set x28 0; set x29 0; set x30 0; set x31 0; + set x32 0; set x33 0; set x34 0; set x35 0; + set x36 0; set x37 0; set x38 0; set x39 0; + set x40 0; set x41 0; set x42 0; set x43 0; + set x44 0; set x45 0; set x46 0; set x47 0; + set x48 0; set x49 0; set x50 0; set x51 0; + set x52 0; set x53 0; set x54 0; set x55 0; + set x56 0; set x57 0; set x58 0; set x59 0; + set x60 0; set x61 0; set x62 0; set x63 0; + set x64 0; set x65 0; set x66 0; set x67 0; + set x68 0; set x69 0; set x70 0; set x71 0; + set x72 0; set x73 0; set x74 0; set x75 0; + set x76 0; set x77 0; set x78 0; set x79 0; + set x80 0; set x81 0; set x82 0; set x83 0; + set x84 0; set x85 0; set x86 0; set x87 0; + set x88 0; set x89 0; set x90 0; set x91 0; + set x92 0; set x93 0; set x94 0; set x95 0; + set x96 0; set x97 0; set x98 0; set x99 0; + set x100 0; set x101 0; set x102 0; set x103 0; + set x104 0; set x105 0; set x106 0; set x107 0; + set x108 0; set x109 0; set x110 0; set x111 0; + set x112 0; set x113 0; set x114 0; set x115 0; + set x116 0; set x117 0; set x118 0; set x119 0; + set x120 0; set x121 0; set x122 0; set x123 0; + set x124 0; set x125 0; set x126 0; set x127 0; + set x128 0; set x129 0; set x130 0; set x131 0; + set x132 0; set x133 0; set x134 0; set x135 0; + set x136 0; set x137 0; set x138 0; set x139 0; + set x140 0; set x141 0; set x142 0; set x143 0; + set x144 0; set x145 0; set x146 0; set x147 0; + set x148 0; set x149 0; set x150 0; set x151 0; + set x152 0; set x153 0; set x154 0; set x155 0; + set x156 0; set x157 0; set x158 0; set x159 0; + set x160 0; set x161 0; set x162 0; set x163 0; + set x164 0; set x165 0; set x166 0; set x167 0; + set x168 0; set x169 0; set x170 0; set x171 0; + set x172 0; set x173 0; set x174 0; set x175 0; + set x176 0; set x177 0; set x178 0; set x179 0; + set x180 0; set x181 0; set x182 0; set x183 0; + set x184 0; set x185 0; set x186 0; set x187 0; + set x188 0; set x189 0; set x190 0; set x191 0; + set x192 0; set x193 0; set x194 0; set x195 0; + set x196 0; set x197 0; set x198 0; set x199 0; + set x200 0; set x201 0; set x202 0; set x203 0; + set x204 0; set x205 0; set x206 0; set x207 0; + set x208 0; set x209 0; set x210 0; set x211 0; + set x212 0; set x213 0; set x214 0; set x215 0; + set x216 0; set x217 0; set x218 0; set x219 0; + set x220 0; set x221 0; set x222 0; set x223 0; + set x224 0; set x225 0; set x226 0; set x227 0; + set x228 0; set x229 0; set x230 0; set x231 0; + set x232 0; set x233 0; set x234 0; set x235 0; + set x236 0; set x237 0; set x238 0; set x239 0; + set x240 0; set x241 0; set x242 0; set x243 0; + set x244 0; set x245 0; set x246 0; set x247 0; + set x248 0; set x249 0; set x250 0; set x251 0; set x252 0; set x253 0; set x254 0; set x255 0; set y(0) {{1 2} {3 4}} lset y(0) 1 1 5 diff --git a/tests/main.test b/tests/main.test index 351fd4f..96af066 100644 --- a/tests/main.test +++ b/tests/main.test @@ -719,7 +719,7 @@ namespace eval ::tcl::test::main { } -result "Exit MainLoop\nIn exit\neven 0\n" test Tcl_Main-5.9 { - Tcl_Main: interactive mode: delete interp + Tcl_Main: interactive mode: delete interp -> main loop & exit handlers, but no [exit] } -constraints { exec Tcltest diff --git a/tests/misc.test b/tests/misc.test index d4ece74..db8b14a 100644 --- a/tests/misc.test +++ b/tests/misc.test @@ -25,7 +25,7 @@ testConstraint testhashsystemhash [llength [info commands testhashsystemhash]] test misc-1.1 {error in variable ref. in command in array reference} { proc tstProc {} { global a - + set tst $a([winfo name $zz]) # this is a bogus comment # this is a bogus comment @@ -42,7 +42,7 @@ test misc-1.1 {error in variable ref. in command in array reference} { test misc-1.2 {error in variable ref. in command in array reference} { proc tstProc {} " global a - + set tst \$a(\[winfo name \$\{zz) # this is a bogus comment # this is a bogus comment diff --git a/tests/msgcat.test b/tests/msgcat.test index 8647f9c..f50ebfb 100644 --- a/tests/msgcat.test +++ b/tests/msgcat.test @@ -51,7 +51,7 @@ namespace eval ::msgcat::test { variable body variable result variable setVars - foreach setVars [PowerSet $envVars] { + foreach setVars [PowerSet $envVars] { set result [string tolower [lindex $setVars 0]] if {[string length $result] == 0} { if {[info exists ::tcl::mac::locale]} { @@ -93,7 +93,7 @@ namespace eval ::msgcat::test { incr count } unset -nocomplain result - + # Could add tests of initialization from Windows registry here. # Use a fake registry package. @@ -293,11 +293,11 @@ namespace eval ::msgcat::test { variable count 2 variable result array set result { - foo,ov0 ov0_ROOT foo,ov1 ov1_foo foo,ov2 ov2_foo + foo,ov0 ov0_ROOT foo,ov1 ov1_foo foo,ov2 ov2_foo foo,ov3 ov3_foo foo,ov4 ov4 - foo_BAR,ov0 ov0_ROOT foo_BAR,ov1 ov1_foo foo_BAR,ov2 ov2_foo_BAR - foo_BAR,ov3 ov3_foo_BAR foo_BAR,ov4 ov4 - foo_BAR_baz,ov0 ov0_ROOT foo_BAR_baz,ov1 ov1_foo + foo_BAR,ov0 ov0_ROOT foo_BAR,ov1 ov1_foo foo_BAR,ov2 ov2_foo_BAR + foo_BAR,ov3 ov3_foo_BAR foo_BAR,ov4 ov4 + foo_BAR_baz,ov0 ov0_ROOT foo_BAR_baz,ov1 ov1_foo foo_BAR_baz,ov2 ov2_foo_BAR foo_BAR_baz,ov3 ov3_foo_BAR_baz foo_BAR_baz,ov4 ov4 } @@ -416,12 +416,12 @@ namespace eval ::msgcat::test { variable locale [mclocale] ::msgcat::mclocale "" ::msgcat::mcloadedlocales clear - ::msgcat::mcpackageconfig unset mcfolder + ::msgcat::mcpackageconfig unset mcfolder mclocale $loc } -cleanup { mclocale $locale ::msgcat::mcloadedlocales clear - ::msgcat::mcpackageconfig unset mcfolder + ::msgcat::mcpackageconfig unset mcfolder } -body { mcload $msgdir } -result [expr { $count+1 }] @@ -436,7 +436,7 @@ namespace eval ::msgcat::test { } -cleanup { mclocale $locale mcloadedlocales clear - mcpackageconfig unset mcfolder + mcpackageconfig unset mcfolder } -body { mcload $msgdir } -result 3 @@ -447,7 +447,7 @@ namespace eval ::msgcat::test { } -cleanup { mclocale $locale mcloadedlocales clear - mcpackageconfig unset mcfolder + mcpackageconfig unset mcfolder } -body { mcload $msgdir } -result 1 @@ -516,7 +516,7 @@ namespace eval ::msgcat::test { } -cleanup { mclocale $locale mcloadedlocales clear - mcpackageconfig unset mcfolder + mcpackageconfig unset mcfolder } -body { mclocale foo mcpackageconfig set mcfolder $msgdir @@ -535,7 +535,7 @@ namespace eval ::msgcat::test { # Tests msgcat-6.*: [mcset], [mc] namespace inheritance # # Test mcset and mc, ensuring that resolution for messages -# proceeds from the current ns to its parent and so on to the +# proceeds from the current ns to its parent and so on to the # global ns. # # Do this for the 12 permutations of @@ -579,7 +579,7 @@ namespace eval ::msgcat::test { ::msgcat::mcset foo ov3 "ov3_foo_bar_baz" } } - + } variable locale [mclocale] mclocale foo @@ -688,12 +688,12 @@ namespace eval ::msgcat::test { mcexists } -returnCodes 1\ -result {wrong # args: should be "mcexists ?-exactnamespace? ?-exactlocale? src"} - + test msgcat-9.2 {mcexists unknown option} -body { - mcexists -unknown src + mcexists -unknown src } -returnCodes 1\ -result {unknown option "-unknown"} - + test msgcat-9.3 {mcexists} -setup { mcforgetpackage variable locale [mclocale] @@ -715,7 +715,7 @@ namespace eval ::msgcat::test { } -body { list [mcexists k1] [mcexists -exactlocale k1] } -result {1 0} - + test msgcat-9.5 {mcexists parent namespace} -setup { mcforgetpackage variable locale [mclocale] @@ -729,19 +729,19 @@ namespace eval ::msgcat::test { [::msgcat::mcexists -exactnamespace k1] } } -result {1 0} - + # Tests msgcat-10.*: [mcloadedlocales] test msgcat-10.1 {mcloadedlocales no arg} -body { mcloadedlocales } -returnCodes 1\ -result {wrong # args: should be "mcloadedlocales subcommand"} - + test msgcat-10.2 {mcloadedlocales wrong subcommand} -body { mcloadedlocales junk } -returnCodes 1\ -result {unknown subcommand "junk": must be clear, or loaded} - + test msgcat-10.3 {mcloadedlocales loaded} -setup { mcforgetpackage variable locale [mclocale] @@ -754,7 +754,7 @@ namespace eval ::msgcat::test { # The result is position independent so sort set resultlist [lsort [mcloadedlocales loaded]] } -result {{} foo foo_bar} - + test msgcat-10.4 {mcloadedlocales clear} -setup { mcforgetpackage variable locale [mclocale] @@ -960,9 +960,9 @@ namespace eval ::msgcat::test { } -result {0 0 1 0} # option mcfolder is already tested with 5.11 - + # Tests msgcat-14.*: callbacks: loadcmd, changecmd, unknowncmd - + # This routine is used as bgerror and by direct callback invocation proc callbackproc args { variable resultvariable @@ -973,7 +973,7 @@ namespace eval ::msgcat::test { } set bgerrorsaved [interp bgerror {}] interp bgerror {} [namespace code callbackproc] - + test msgcat-14.1 {invokation loadcmd} -setup { mcforgetpackage mclocale $locale diff --git a/tests/namespace.test b/tests/namespace.test index cded1f4..47c8001 100644 --- a/tests/namespace.test +++ b/tests/namespace.test @@ -56,7 +56,7 @@ test namespace-2.2 {Tcl_GetCurrentNamespace} { test namespace-3.1 {Tcl_GetGlobalNamespace} { namespace eval test_ns_1 {namespace eval foo {namespace eval bar {} } } - # namespace children uses Tcl_GetGlobalNamespace + # namespace children uses Tcl_GetGlobalNamespace namespace eval test_ns_1 {namespace children foo b*} } {::test_ns_1::foo::bar} @@ -106,7 +106,7 @@ test namespace-6.2 {Tcl_CreateNamespace, odd number of :'s in name is okay} { [namespace eval test_ns_2:::::foo {namespace current}] } {::test_ns_1::foo ::test_ns_2::foo} test namespace-6.3 {Tcl_CreateNamespace, trailing ::s in ns name are ignored} { - list [catch {namespace eval test_ns_7::: {namespace current}} msg] $msg + list [catch {namespace eval test_ns_7::: {namespace current}} msg] $msg } {0 ::test_ns_7} test namespace-6.4 {Tcl_CreateNamespace, trailing ::s in ns name are ignored} { catch {namespace delete {*}[namespace children :: test_ns_*]} @@ -264,7 +264,7 @@ test namespace-8.5 {TclTeardownNamespace: preserve errorInfo; errorCode values} invoked from within "slave eval error foo bar baz"} test namespace-8.6 {TclTeardownNamespace: preserve errorInfo; errorCode values} { - interp create slave + interp create slave slave eval {trace add variable errorCode write {namespace delete :: ;#}} catch {slave eval error foo bar baz} interp delete slave @@ -971,17 +971,17 @@ test namespace-22.5 {NamespaceCodeCmd, in other namespace} { namespace code cmd } } {::namespace inscope ::test_ns_1 cmd} -test namespace-22.6 {NamespaceCodeCmd, in other namespace} { - namespace eval test_ns_1 { - variable v 42 - } - namespace eval test_ns_2 { - proc namespace args {} - } - namespace eval test_ns_2 [namespace eval test_ns_1 { - namespace code {set v} - }] -} {42} +test namespace-22.6 {NamespaceCodeCmd, in other namespace} { + namespace eval test_ns_1 { + variable v 42 + } + namespace eval test_ns_2 { + proc namespace args {} + } + namespace eval test_ns_2 [namespace eval test_ns_1 { + namespace code {set v} + }] +} {42} test namespace-22.7 {NamespaceCodeCmd, Bug 3202171} { namespace eval demo { proc namespace args {puts $args} @@ -1449,7 +1449,7 @@ test namespace-40.1 {Ignoring namespace proc "unknown"} -setup { namespace eval ns {proc unknown args {return local}} list [namespace eval ns aaa bbb] [namespace eval ns aaa] } -cleanup { - rename unknown {} + rename unknown {} rename _unknown unknown namespace delete ns } -result {global global} @@ -1460,7 +1460,7 @@ test namespace-41.1 {Shadowing byte-compiled commands, Bug: 231259} { set res {} proc test {} { set ::g 0 - } + } lappend ::res [test] proc set {a b} { ::set a [incr b] diff --git a/tests/nre.test b/tests/nre.test index 9df5eb1..3313df5 100644 --- a/tests/nre.test +++ b/tests/nre.test @@ -29,9 +29,9 @@ if {[testConstraint testnrelevels]} { namespace path ::tcl::mathop # # [testnrelevels] returns a 6-list with: C-stack depth, iPtr->numlevels, - # cmdFrame level, callFrame level, tosPtr and callback depth + # cmdFrame level, callFrame level, tosPtr and callback depth # - variable last [testnrelevels] + variable last [testnrelevels] proc depthDiff {} { variable last set depth [testnrelevels] @@ -327,7 +327,7 @@ test nre-8.1 {nre and {*}} -body { } -cleanup { rename inner {} rename outer {} -} -result {1 1 1} +} -result {1 1 1} test nre-8.2 {nre and {*}, [Bug 2415422]} -body { # force an expansion that grows the evaluation stack, check that nre # adapts the bcFramePtr. This causes an NRE assertion to fail if it is not diff --git a/tests/obj.test b/tests/obj.test index 151abfb..7bf00f7 100644 --- a/tests/obj.test +++ b/tests/obj.test @@ -26,7 +26,7 @@ testConstraint wideBiggerThanInt [expr {wide(0x80000000) != int(0x80000000)}] test obj-1.1 {Tcl_AppendAllObjTypes, and InitTypeTable, Tcl_RegisterObjType} testobj { set r 1 foreach {t} { - {array search} + {array search} bytearray bytecode cmdName @@ -82,7 +82,7 @@ test obj-6.1 {Tcl_DuplicateObj, object has internal rep} testobj { set result "" lappend result [testobj freeallvars] lappend result [testintobj set 1 47] - lappend result [testobj duplicate 1 2] + lappend result [testobj duplicate 1 2] lappend result [testintobj get 2] lappend result [testobj refcount 1] lappend result [testobj refcount 2] @@ -91,7 +91,7 @@ test obj-6.2 {Tcl_DuplicateObj, "empty string" object} testobj { set result "" lappend result [testobj freeallvars] lappend result [testobj newobj 1] - lappend result [testobj duplicate 1 2] + lappend result [testobj duplicate 1 2] lappend result [testintobj get 2] lappend result [testobj refcount 1] lappend result [testobj refcount 2] diff --git a/tests/oo.test b/tests/oo.test index 895f7ed..9491f78 100644 --- a/tests/oo.test +++ b/tests/oo.test @@ -280,7 +280,7 @@ test oo-1.18.2 {Bug 21c144f0f5} -setup { } } -cleanup { interp delete slave -} +} test oo-1.19 {basic test of OO functionality: teardown order} -body { oo::object create o namespace delete [info object namespace o] @@ -1989,7 +1989,7 @@ test oo-15.10 {variable binding must not bleed through oo::copy} -setup { } -body { set obj1 [FooClass new] oo::objdefine $obj1 { - variable var + variable var method m {} { set var foo } @@ -2619,7 +2619,7 @@ test oo-20.10 {OO: variable and varname methods refer to same things} -setup { test oo-20.11 {OO: variable mustn't crash when recursing} -body { oo::class create A { constructor {name} { - my variable np_name + my variable np_name set np_name $name } method copy {nm} { @@ -2634,7 +2634,7 @@ test oo-20.11 {OO: variable mustn't crash when recursing} -body { lappend objs [$ref copy {}] } $cpy prop $var $objs - } else { + } else { $cpy prop $var $val } } diff --git a/tests/parse.test b/tests/parse.test index d73c725..287c392 100644 --- a/tests/parse.test +++ b/tests/parse.test @@ -369,7 +369,7 @@ test parse-8.8 {Tcl_EvalObjv procedure, async handlers} -constraints { variable ::aresult variable ::acode proc async1 {result code} { - variable ::aresult + variable ::aresult variable ::acode set aresult $result set acode $code diff --git a/tests/parseExpr.test b/tests/parseExpr.test index ef05454..fda25b7 100644 --- a/tests/parseExpr.test +++ b/tests/parseExpr.test @@ -768,11 +768,11 @@ test parseExpr-21.8 {error messages} -body { expr {0o8x} } -returnCodes error -match glob -result {*invalid octal number*} test parseExpr-21.9 {error messages} -body { - expr {"} + expr {"} } -returnCodes error -result {missing " in expression """} test parseExpr-21.10 {error messages} -body { - expr \{ + expr \{ } -returnCodes error -result "missing close-brace in expression \"\{\"" test parseExpr-21.11 {error messages} -body { diff --git a/tests/pkgMkIndex.test b/tests/pkgMkIndex.test index 84c82ce..8ff806c 100644 --- a/tests/pkgMkIndex.test +++ b/tests/pkgMkIndex.test @@ -231,7 +231,7 @@ proc pkgtest::runCreatedIndex {rv args} { set result [list 0 [makePkgList [parseIndex $idxFile]]] } err]} { set result [list 1 $err] - } + } file delete $idxFile } else { set result $rv diff --git a/tests/platform.test b/tests/platform.test index c826444..5838a41 100644 --- a/tests/platform.test +++ b/tests/platform.test @@ -51,12 +51,12 @@ test platform-2.1 {tcl_platform(wordSize) indicates size of native word} { test platform-3.1 {CPU ID on Windows/UNIX} \ -constraints testCPUID \ - -body { + -body { set cpudata [testcpuid 0] binary format iii \ [lindex $cpudata 1] \ [lindex $cpudata 3] \ - [lindex $cpudata 2] + [lindex $cpudata 2] } \ -match regexp \ -result {^(?:AuthenticAMD|CentaurHauls|CyrixInstead|GenuineIntel)$} diff --git a/tests/proc.test b/tests/proc.test index e06720e..bae5e15 100644 --- a/tests/proc.test +++ b/tests/proc.test @@ -99,7 +99,7 @@ test proc-1.6 {Tcl_ProcObjCmd, namespace code ignores single ":"s in middle or e test proc-1.7 {Tcl_ProcObjCmd, check that formal parameter names are not array elements} -setup { catch {rename p ""} } -returnCodes error -body { - proc p {a(1) a(2)} { + proc p {a(1) a(2)} { set z [expr $a(1)+$a(2)] puts "$z=z, $a(1)=$a(1)" } @@ -107,7 +107,7 @@ test proc-1.7 {Tcl_ProcObjCmd, check that formal parameter names are not array e test proc-1.8 {Tcl_ProcObjCmd, check that formal parameter names are simple names} -setup { catch {rename p ""} } -body { - proc p {b:a b::a} { + proc p {b:a b::a} { } } -returnCodes error -result {formal parameter "b::a" is not a simple name} @@ -329,7 +329,7 @@ test proc-5.1 {Bytecompiling noop; test for correct argument substitution} -body } -cleanup { catch {rename p ""} catch {rename t ""} -} -result {aba} +} -result {aba} test proc-6.1 {ProcessProcResultCode: Bug 647307 (negative return code)} -body { proc a {} {return -code -5} diff --git a/tests/reg.test b/tests/reg.test index d040632..b9dc538 100644 --- a/tests/reg.test +++ b/tests/reg.test @@ -49,9 +49,9 @@ catch [list package require -exact Tcltest [info patchlevel]] # subexpressions, checking where empty substrings are located, # etc. should be done using expectIndices and expectPartial. -# The flag characters are complex and a bit eclectic. Generally speaking, +# The flag characters are complex and a bit eclectic. Generally speaking, # lowercase letters are compile options, uppercase are expected re_info -# bits, and nonalphabetics are match options, controls for how the test is +# bits, and nonalphabetics are match options, controls for how the test is # run, or testing options. The one small surprise is that AREs are the # default, and you must explicitly request lesser flavors of RE. The flags # are as follows. It is admitted that some are not very mnemonic. @@ -311,7 +311,7 @@ namespace eval RETest { # match expected (full fanciness) # expectIndices testno flags re target mat submat ... proc expectIndices {args} { - MatchExpected -indices {*}$args + MatchExpected -indices {*}$args } # partial match expected diff --git a/tests/regexp.test b/tests/regexp.test index 9fff262..4ffdbdb 100644 --- a/tests/regexp.test +++ b/tests/regexp.test @@ -480,7 +480,7 @@ test regexp-11.12 {regsub without final variable name returns value} { } {a,bcd,c,ea,bcfd,cf,e} # This test crashes on the Mac unless you increase the Stack Space to about 1 -# Meg. This is probably bigger than most users want... +# Meg. This is probably bigger than most users want... # 8.2.3 regexp reduced stack space requirements, but this should be # tested again test regexp-12.1 {Tcl_RegExpExec: large number of subexpressions} {macCrash} { @@ -742,10 +742,10 @@ test regexp-19.2 {regsub null replacement} { test regexp-20.1 {regsub shared object shimmering} { # Bug #461322 - set a abcdefghijklmnopqurstuvwxyz - set b $a - set c abcdefghijklmnopqurstuvwxyz0123456789 - regsub $a $c $b d + set a abcdefghijklmnopqurstuvwxyz + set b $a + set c abcdefghijklmnopqurstuvwxyz0123456789 + regsub $a $c $b d list $d [string length $d] [string bytelength $d] } [list abcdefghijklmnopqurstuvwxyz0123456789 37 37] test regexp-20.2 {regsub shared object shimmering with -about} { diff --git a/tests/regexpComp.test b/tests/regexpComp.test index 01ef06d..b8e64b6 100644 --- a/tests/regexpComp.test +++ b/tests/regexpComp.test @@ -22,7 +22,7 @@ if {[lsearch [namespace children] ::tcltest] == -1} { proc evalInProc { script } { proc testProc {} $script set status [catch { - testProc + testProc } result] rename testProc {} return $result @@ -607,7 +607,7 @@ test regexpComp-11.8 {regsub errors, -start bad int check} { } {1 {bad index "bogus": must be integer?[+-]integer? or end?[+-]integer?}} # This test crashes on the Mac unless you increase the Stack Space to about 1 -# Meg. This is probably bigger than most users want... +# Meg. This is probably bigger than most users want... # 8.2.3 regexp reduced stack space requirements, but this should be # tested again test regexpComp-12.1 {Tcl_RegExpExec: large number of subexpressions} {macCrash} { @@ -794,10 +794,10 @@ test regexpComp-19.1 {regsub null replacement} { test regexpComp-20.1 {regsub shared object shimmering} { evalInProc { # Bug #461322 - set a abcdefghijklmnopqurstuvwxyz - set b $a - set c abcdefghijklmnopqurstuvwxyz0123456789 - regsub $a $c $b d + set a abcdefghijklmnopqurstuvwxyz + set b $a + set c abcdefghijklmnopqurstuvwxyz0123456789 + regsub $a $c $b d list $d [string length $d] [string bytelength $d] } } [list abcdefghijklmnopqurstuvwxyz0123456789 37 37] diff --git a/tests/set-old.test b/tests/set-old.test index 94b6901..0e9ca63 100644 --- a/tests/set-old.test +++ b/tests/set-old.test @@ -931,7 +931,7 @@ catch {rename foo {}} # cleanup ::tcltest::cleanupTests -return +return # Local Variables: # mode: tcl diff --git a/tests/set.test b/tests/set.test index 18119f5..7e4b864 100644 --- a/tests/set.test +++ b/tests/set.test @@ -536,4 +536,4 @@ catch {unset i} catch {unset x} catch {unset z} ::tcltest::cleanupTests -return +return diff --git a/tests/split.test b/tests/split.test index 778131f..585fef5 100644 --- a/tests/split.test +++ b/tests/split.test @@ -43,7 +43,7 @@ test split-1.8 {basic split commands} { foreach f [split {]\n} {}] { append x $f } - return $x + return $x } foo } {]\n} diff --git a/tests/stack.test b/tests/stack.test index 13bc524..4c50f74 100644 --- a/tests/stack.test +++ b/tests/stack.test @@ -31,7 +31,7 @@ test stack-2.1 {maxNestingDepth reached on infinite recursion} -body { puts $msg } } -result {too many nested evaluations (infinite loop?)} - + # Make sure that there is enough stack to run regexp even if we're # close to the recursion limit. [Bug 947070] [Patch 746378] test stack-3.1 {enough room for regexp near recursion limit} -body { diff --git a/tests/string.test b/tests/string.test index 3611753..418bc61 100644 --- a/tests/string.test +++ b/tests/string.test @@ -219,7 +219,7 @@ test string-4.14 {string first, negative start index} { } 1 test string-4.15 {string first, ability to two-byte encoded utf-8 chars} { # Test for a bug in Tcl 8.3 where test for all-single-byte-encoded - # strings was incorrect, leading to an index returned by [string first] + # strings was incorrect, leading to an index returned by [string first] # which pointed past the end of the string. set uchar \u057e ;# character with two-byte encoding in utf-8 string first % %#$uchar$uchar#$uchar$uchar#% 3 @@ -419,7 +419,7 @@ test string-6.37 {string is double, false on int overflow} -setup { } -result {1 priorValue} # string-6.38 removed, underflow on input is no longer an error. test string-6.39 {string is double, false} { - # This test is non-portable because IRIX thinks + # This test is non-portable because IRIX thinks # that .e1 is a valid double - this is really a bug # on IRIX as .e1 should NOT be a valid double # @@ -1833,7 +1833,7 @@ proc MemStress {args} { set res {} foreach body $args { set end 0 - for {set i 0} {$i < 5} {incr i} { + for {set i 0} {$i < 5} {incr i} { proc MemStress_Body {} $body uplevel 1 MemStress_Body rename MemStress_Body {} diff --git a/tests/stringObj.test b/tests/stringObj.test index 8209142..49f268e 100644 --- a/tests/stringObj.test +++ b/tests/stringObj.test @@ -414,10 +414,10 @@ test stringObj-13.3 {Tcl_GetCharLength with byte-size chars} testobj { list [string length $a] [string length $a] } {6 6} test stringObj-13.4 {Tcl_GetCharLength with mixed width chars} testobj { - string length "\u00ae" + string length "\u00ae" } 1 test stringObj-13.5 {Tcl_GetCharLength with mixed width chars} testobj { - # string length "￮￮" + # string length "￮￮" # Use \uXXXX notation below instead of hardcoding the values, otherwise # the test will fail in multibyte locales. string length "\u00EF\u00BF\u00AE\u00EF\u00BF\u00AE" diff --git a/tests/subst.test b/tests/subst.test index 2115772..1f3c22a 100644 --- a/tests/subst.test +++ b/tests/subst.test @@ -91,29 +91,29 @@ test subst-5.4 {command substitutions} { } {1 {invalid command name "bogus_command"}} test subst-5.5 {command substitutions} { set a 0 - list [catch {subst {[set a 1}} msg] $a $msg + list [catch {subst {[set a 1}} msg] $a $msg } {1 0 {missing close-bracket}} test subst-5.6 {command substitutions} { set a 0 - list [catch {subst {0[set a 1}} msg] $a $msg + list [catch {subst {0[set a 1}} msg] $a $msg } {1 0 {missing close-bracket}} test subst-5.7 {command substitutions} { set a 0 - list [catch {subst {0[set a 1; set a 2}} msg] $a $msg + list [catch {subst {0[set a 1; set a 2}} msg] $a $msg } {1 1 {missing close-bracket}} # repeat the tests above simulating cmd line input test subst-5.8 {command substitutions} { set script {[subst {[set a 1}]} - list [catch {exec [info nameofexecutable] << $script} msg] $msg + list [catch {exec [info nameofexecutable] << $script} msg] $msg } {1 {missing close-bracket}} test subst-5.9 {command substitutions} { set script {[subst {0[set a 1}]} - list [catch {exec [info nameofexecutable] << $script} msg] $msg + list [catch {exec [info nameofexecutable] << $script} msg] $msg } {1 {missing close-bracket}} test subst-5.10 {command substitutions} { set script {[subst {0[set a 1; set a 2}]} - list [catch {exec [info nameofexecutable] << $script} msg] $msg + list [catch {exec [info nameofexecutable] << $script} msg] $msg } {1 {missing close-bracket}} test subst-6.1 {clear the result after command substitution} -body { @@ -166,7 +166,7 @@ test subst-8.6 {return in a subst} -returnCodes error -body { subst "foo \[return {x}; bogus code bar" } -result {missing close-bracket} test subst-8.7 {return in a subst, parse error} -body { - subst {foo [return {x} ; set a {}"" ; stuff] bar} + subst {foo [return {x} ; set a {}"" ; stuff] bar} } -returnCodes error -result {extra characters after close-brace} test subst-8.8 {return in a subst, parse error} -body { subst {foo [return {x} ; set bar baz ; set a {}"" ; stuff] bar} diff --git a/tests/tailcall.test b/tests/tailcall.test index 26f3cbf..ce506a7 100644 --- a/tests/tailcall.test +++ b/tests/tailcall.test @@ -28,9 +28,9 @@ if {[testConstraint testnrelevels]} { namespace eval testnre { # # [testnrelevels] returns a 6-list with: C-stack depth, iPtr->numlevels, - # cmdFrame level, callFrame level, tosPtr and callback depth + # cmdFrame level, callFrame level, tosPtr and callback depth # - variable last [testnrelevels] + variable last [testnrelevels] proc depthDiff {} { variable last set depth [testnrelevels] @@ -148,7 +148,7 @@ test tailcall-0.5 {tailcall is constant space} -constraints testnrelevels -setup } -result {0 0 0 0 0 0} test tailcall-0.5.1 {tailcall is constant space} -constraints testnrelevels -setup { - # + # # This test is related to [bug d87cb182053fd79b3]: the fix to that bug was # to remove a call to TclSkipTailcall, which caused a violation of the # constant-space property of tailcall in that particular @@ -245,7 +245,7 @@ test tailcall-1 {tailcall} -body { } variable x *:: proc xset args {error ::xset} - list [::b::moo] | $x $a::x $b::x | $::b::y + list [::b::moo] | $x $a::x $b::x | $::b::y } -cleanup { unset x rename xset {} @@ -619,7 +619,7 @@ test tailcall-12.3a3 {[Bug 2695587]} -body { set x } -cleanup { unset x -} -result {0 1} +} -result {0 1} test tailcall-12.3b0 {[Bug 2695587]} -body { apply {{} { @@ -654,7 +654,7 @@ test tailcall-12.3b3 {[Bug 2695587]} -body { set x } -cleanup { unset x -} -result {0 1} +} -result {0 1} # MORE VARIANTS MISSING: bc'ed caught script vs (bc'ed, not-bc'ed) # catch. Actually superfluous now, as tailcall just returns TCL_RETURN so that diff --git a/tests/tm.test b/tests/tm.test index 1b22f8c..a4dafe0 100644 --- a/tests/tm.test +++ b/tests/tm.test @@ -200,7 +200,7 @@ test tm-3.11 {tm: module path management, remove ignores unknown path} -setup { proc genpaths {base} { # Normalizing picks up drive letters on windows [Bug 1053568] set base [file normalize $base] - lassign [split [package present Tcl] .] major minor + lassign [split [package present Tcl] .] major minor set results {} set base [file join $base tcl$major] lappend results [file join $base site-tcl] diff --git a/tests/trace.test b/tests/trace.test index d830f3c..1099f48 100644 --- a/tests/trace.test +++ b/tests/trace.test @@ -164,30 +164,30 @@ test trace-1.10 {trace variable reads} { } {} test trace-1.11 {read traces that modify the array structure} { unset -nocomplain x - set x(bar) 0 - trace variable x r {set x(foo) 1 ;#} - trace variable x r {unset -nocomplain x(bar) ;#} + set x(bar) 0 + trace variable x r {set x(foo) 1 ;#} + trace variable x r {unset -nocomplain x(bar) ;#} array get x } {} test trace-1.12 {read traces that modify the array structure} { unset -nocomplain x - set x(bar) 0 - trace variable x r {unset -nocomplain x(bar) ;#} - trace variable x r {set x(foo) 1 ;#} + set x(bar) 0 + trace variable x r {unset -nocomplain x(bar) ;#} + trace variable x r {set x(foo) 1 ;#} array get x } {} test trace-1.13 {read traces that modify the array structure} { unset -nocomplain x - set x(bar) 0 - trace variable x r {set x(foo) 1 ;#} - trace variable x r {unset -nocomplain x;#} + set x(bar) 0 + trace variable x r {set x(foo) 1 ;#} + trace variable x r {unset -nocomplain x;#} list [catch {array get x} res] $res } {1 {can't read "x(bar)": no such variable}} test trace-1.14 {read traces that modify the array structure} { unset -nocomplain x - set x(bar) 0 - trace variable x r {unset -nocomplain x;#} - trace variable x r {set x(foo) 1 ;#} + set x(bar) 0 + trace variable x r {unset -nocomplain x;#} + trace variable x r {set x(foo) 1 ;#} list [catch {array get x} res] $res } {1 {can't read "x(bar)": no such variable}} @@ -419,7 +419,7 @@ test trace-5.8 {array traces fire for undefined variables} { trace add variable x array {set x(foo) 1 ;#} set res "names: [array names x]" } {names: foo} - + # Trace multiple trace types at once. test trace-6.1 {multiple ops traced at once} { @@ -767,7 +767,7 @@ test trace-13.1 {delete one trace from another} { trace add variable x read {traceTag 2} trace add variable x read {traceTag 3} trace add variable x read {traceTag 4} - trace add variable x read delTraces + trace add variable x read delTraces trace add variable x read {traceTag 5} set x set info @@ -872,7 +872,7 @@ test trace-14.5 {trace command, invalid option} { } [list 1 "bad option \"gorp\": must be add, info, remove, variable, vdelete, or vinfo"] # Again, [trace ... command] and [trace ... variable] share syntax and -# error message styles for their opList options; these loops test those +# error message styles for their opList options; these loops test those # error messages. set i 0 @@ -2104,7 +2104,7 @@ foo foo 0 1 leave} test trace-28.2 {exec traces with 'error'} { set info {} set res {} - + proc foo {} { if {[catch {bar}]} { return "error" @@ -2126,7 +2126,7 @@ test trace-28.2 {exec traces with 'error'} { trace remove execution foo {enter enterstep leave leavestep} \ [list traceExecute foo] - + list $res [join $info \n] } {{error error} {foo foo enter foo {if {[catch {bar}]} { @@ -2152,7 +2152,7 @@ foo foo 0 error leave}} test trace-28.3 {exec traces with 'return -code error'} { set info {} set res {} - + proc foo {} { if {[catch {bar}]} { return "error" @@ -2174,7 +2174,7 @@ test trace-28.3 {exec traces with 'return -code error'} { trace remove execution foo {enter enterstep leave leavestep} \ [list traceExecute foo] - + list $res [join $info \n] } {{error error} {foo foo enter foo {if {[catch {bar}]} { @@ -2204,7 +2204,7 @@ test trace-28.4 {exec traces in slave with 'return -code error'} { set res [interp eval slave { set info {} set res {} - + proc foo {} { if {[catch {bar}]} { return "error" @@ -2212,21 +2212,21 @@ test trace-28.4 {exec traces in slave with 'return -code error'} { return "ok" } } - + proc bar {} { return -code error "msg" } - + lappend res [foo] - + trace add execution foo {enter enterstep leave leavestep} \ [list traceExecute foo] - + # With the trace active - + lappend res [foo] - + trace remove execution foo {enter enterstep leave leavestep} \ [list traceExecute foo] - + list $res }] interp delete slave @@ -2610,7 +2610,7 @@ test trace-39 {bug #3484621: tracing Bc'ed commands} -setup { proc foo {} { incr ::traceCalls # choose a BC'ed command that is 'unlikely' to interfere with tcltest's - # internals + # internals lset ::bar 1 2 } } -body { @@ -2631,7 +2631,7 @@ test trace-39 {bug #3484621: tracing Bc'ed commands} -setup { rename dotrace {} rename foo {} } -result {3 | 0 1 1} - + test trace-39.1 {bug #3485022: tracing Bc'ed commands} -setup { set ::traceLog 0 set ::traceCalls 0 @@ -2668,7 +2668,7 @@ test trace-40.1 {execution trace errors become command errors} { catch foo m return -level 0 $m[unset m] } bar - + # Delete procedures when done, so we don't clash with other tests # (e.g. foobar will clash with 'unknown' tests). catch {rename foobar {}} diff --git a/tests/unixForkEvent.test b/tests/unixForkEvent.test index 120f362..d7b86fd 100644 --- a/tests/unixForkEvent.test +++ b/tests/unixForkEvent.test @@ -37,7 +37,7 @@ test unixforkevent-1.1 {fork and test writeable event} \ viewFile result.txt $myFolder } \ -result {writable} \ - -cleanup { + -cleanup { catch { removeFolder $myFolder } } diff --git a/tests/unixNotfy.test b/tests/unixNotfy.test index 2f03529..18b967f 100644 --- a/tests/unixNotfy.test +++ b/tests/unixNotfy.test @@ -34,7 +34,7 @@ test unixNotfy-1.1 {Tcl_DeleteFileHandler} -constraints {noTk unix unthreaded} - vwait x close $f list [catch {vwait x} msg] $msg -} -result {1 {can't wait for variable "x": would wait forever}} -cleanup { +} -result {1 {can't wait for variable "x": would wait forever}} -cleanup { catch { close $f } catch { removeFile foo } } @@ -90,7 +90,7 @@ test unixNotfy-2.2 {Tcl_DeleteFileHandler} \ set x } \ -result {ok} \ - -cleanup { + -cleanup { catch { close $f1 } catch { close $f2 } catch { removeFile foo } diff --git a/tests/unknown.test b/tests/unknown.test index e80d3a6..6c31c3d 100644 --- a/tests/unknown.test +++ b/tests/unknown.test @@ -58,7 +58,7 @@ test unknown-4.1 {errors in "unknown" procedure} { catch {rename unknown {}} catch {rename unknown.old unknown} cleanupTests -return +return # Local Variables: # mode: tcl diff --git a/tests/uplevel.test b/tests/uplevel.test index 0410469..3f6b2a8 100644 --- a/tests/uplevel.test +++ b/tests/uplevel.test @@ -138,7 +138,7 @@ test uplevel-7.1 {var access, no LVT in either level} -setup { unset -nocomplain y z } -body { namespace eval foo { - set x 2 + set x 2 set y 2 uplevel 1 { set x 3 @@ -157,7 +157,7 @@ test uplevel-7.2 {var access, no LVT in upper level} -setup { unset -nocomplain y z } -body { proc foo {} { - set x 2 + set x 2 set y 2 uplevel 1 { set x 3 @@ -181,7 +181,7 @@ test uplevel-7.3 {var access, LVT in upper level} -setup { } } -body { proc foo {} { - set x 2 + set x 2 set y 2 uplevel 1 { set x 3 diff --git a/tests/upvar.test b/tests/upvar.test index 5ea870d..476250c 100644 --- a/tests/upvar.test +++ b/tests/upvar.test @@ -477,7 +477,7 @@ test upvar-NS-1.4 {nsupvar links to correct variable} -body { } -returnCodes error -cleanup { namespace delete test_ns_1 } -result {namespace "test_ns_0" not found in "::test_ns_1"} - + test upvar-NS-1.5 {nsupvar links to correct variable} -body { namespace eval test_ns_1 { namespace eval test_ns_0 {} diff --git a/tests/util.test b/tests/util.test index 7782f35..2ac11bf 100644 --- a/tests/util.test +++ b/tests/util.test @@ -208,7 +208,7 @@ test util-4.6 {Tcl_ConcatObj - utf-8 sequence with "whitespace" char} { } \xe0 test util-4.7 {Tcl_ConcatObj - refCount safety} testconcatobj { # Check for Bug #1447328 (actually, bugs in its original "fix"). One of the - # symptoms was Bug #2055782. + # symptoms was Bug #2055782. testconcatobj } {} @@ -566,7 +566,7 @@ test util-9.1.3 {TclGetIntForIndex} { } k test util-9.2.0 {TclGetIntForIndex} { string index abcd end -} d +} d test util-9.2.1 {TclGetIntForIndex} -body { string index abcd { end} } -returnCodes error -match glob -result * @@ -4007,7 +4007,7 @@ test util-17.1 {bankers' rounding [Bug 3349507]} {ieeeFloatingPoint} { } set r } [list {*}{ - 0x43fffffffffffffc 0xc3fffffffffffffc + 0x43fffffffffffffc 0xc3fffffffffffffc 0x43fffffffffffffc 0xc3fffffffffffffc 0x43fffffffffffffd 0xc3fffffffffffffd 0x43fffffffffffffe 0xc3fffffffffffffe diff --git a/tests/var.test b/tests/var.test index b6b09fd..6f90664 100644 --- a/tests/var.test +++ b/tests/var.test @@ -39,7 +39,7 @@ catch {unset arr} test var-1.1 {TclLookupVar, Array handling} -setup { catch {unset a} } -body { - set x "incr" ;# force no compilation and runtime call to Tcl_IncrCmd + set x "incr" ;# force no compilation and runtime call to Tcl_IncrCmd set i 10 set arr(foo) 37 list [$x i] $i [$x arr(foo)] $arr(foo) @@ -216,7 +216,7 @@ test var-3.3 {MakeUpvar, my var has TCL_GLOBAL_ONLY specified} -setup { set a 123321 proc p {} { # create global xx linked to global a - testupvar 1 a {} xx global + testupvar 1 a {} xx global } list [p] $xx [set xx 789] $a } -result {{} 123321 789 789} @@ -228,7 +228,7 @@ test var-3.4 {MakeUpvar, my var has TCL_NAMESPACE_ONLY specified} -setup { catch {unset ::test_ns_var::vv} proc p {} { # create namespace var vv linked to global a - testupvar 1 a {} vv namespace + testupvar 1 a {} vv namespace } p } @@ -516,11 +516,11 @@ test var-7.14 {Tcl_VariableObjCmd, array element parameter} -body { namespace eval test_ns_var { variable arrayvar(1) } } -returnCodes error -result "can't define \"arrayvar(1)\": name refers to an element in an array" test var-7.15 {Tcl_VariableObjCmd, array element parameter} -body { - namespace eval test_ns_var { + namespace eval test_ns_var { variable arrayvar set arrayvar(1) x variable arrayvar(1) y - } + } } -returnCodes error -result "can't define \"arrayvar(1)\": name refers to an element in an array" test var-7.16 {Tcl_VariableObjCmd, no args (TIP 323)} { variable @@ -742,7 +742,7 @@ test var-15.1 {segfault in [unset], [Bug 735335]} { set var $name } # - # Note that the variable name has to be + # Note that the variable name has to be # unused previously for the segfault to # be triggered. # diff --git a/tests/winPipe.test b/tests/winPipe.test index 9c6f94d..8128fe2 100644 --- a/tests/winPipe.test +++ b/tests/winPipe.test @@ -34,14 +34,14 @@ testConstraint testexcept [llength [info commands testexcept]] set big bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb\n append big $big -append big $big +append big $big append big $big append big $big append big $big append big $big set path(little) [makeFile {} little] -set f [open $path(little) w] +set f [open $path(little) w] puts -nonewline $f "little" close $f -- cgit v0.12 From 06d40a2add362702cee3dd03ab5a9b1ae13805b8 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 10 Mar 2016 13:44:44 +0000 Subject: Somewhat more excess spacing in for.test --- tests/for.test | 40 ++++++++++++++++++++-------------------- 1 file changed, 20 insertions(+), 20 deletions(-) diff --git a/tests/for.test b/tests/for.test index 1a65274..8e701d6 100644 --- a/tests/for.test +++ b/tests/for.test @@ -303,35 +303,35 @@ proc formatMail {} { 16 {This page contains information about Tcl 7.6 and Tk4.2, which are the most recent} \ 17 {releases of the Tcl scripting language and the Tk toolkit. The first beta versions of these} \ 18 {releases were released on August 30, 1996. These releases contain only minor changes,} \ - 19 {so we hope to have only a single beta release and to go final in early October, 1996. } \ + 19 {so we hope to have only a single beta release and to go final in early October, 1996.} \ 20 {} \ 21 {} \ - 22 {What's new } \ + 22 {What's new} \ 23 {} \ 24 {The most important changes in the releases are summarized below. See the README} \ 25 {and changes files in the distributions for more complete information on what has} \ - 26 {changed, including both feature changes and bug fixes. } \ + 26 {changed, including both feature changes and bug fixes.} \ 27 {} \ 28 { There are new options to the file command for copying files (file copy),} \ 29 { deleting files and directories (file delete), creating directories (file} \ - 30 { mkdir), and renaming files (file rename). } \ + 30 { mkdir), and renaming files (file rename).} \ 31 { The implementation of exec has been improved greatly for Windows 95 and} \ - 32 { Windows NT. } \ + 32 { Windows NT.} \ 33 { There is a new memory allocator for the Macintosh version, which should be} \ - 34 { more efficient than the old one. } \ + 34 { more efficient than the old one.} \ 35 { Tk's grid geometry manager has been completely rewritten. The layout} \ 36 { algorithm produces much better layouts than before, especially where rows or} \ - 37 { columns were stretchable. } \ + 37 { columns were stretchable.} \ 38 { There are new commands for creating common dialog boxes:} \ 39 { tk_chooseColor, tk_getOpenFile, tk_getSaveFile and} \ - 40 { tk_messageBox. These use native dialog boxes if they are available. } \ + 40 { tk_messageBox. These use native dialog boxes if they are available.} \ 41 { There is a new virtual event mechanism for handling events in a more portable} \ 42 { way. See the new command event. It also allows events (both physical and} \ - 43 { virtual) to be generated dynamically. } \ + 43 { virtual) to be generated dynamically.} \ 44 {} \ 45 {Tcl 7.6 and Tk 4.2 are backwards-compatible with Tcl 7.5 and Tk 4.1 except for} \ 46 {changes in the C APIs for custom channel drivers. Scripts written for earlier releases} \ - 47 {should work on these new releases as well. } \ + 47 {should work on these new releases as well.} \ 48 {} \ 49 {Obtaining The Releases} \ 50 {} \ @@ -342,7 +342,7 @@ proc formatMail {} { 55 { Windows 3.1, Windows 95, and Windows NT: Fetch} \ 56 { ftp://ftp.sunlabs.com/pub/tcl/win42b1.exe, then execute it. The file is a} \ 57 { self-extracting executable. It will install the Tcl and Tk libraries, the wish and} \ - 58 { tclsh programs, and documentation. } \ + 58 { tclsh programs, and documentation.} \ 59 { Macintosh (both 68K and PowerPC): Fetch} \ 60 { ftp://ftp.sunlabs.com/pub/tcl/mactk4.2b1.sea.hqx. The file is in binhex format,} \ 61 { which is understood by Fetch, StuffIt, and many other Mac utilities. The} \ @@ -511,30 +511,30 @@ so we hope to have only a single beta release and to go final in early October, 1996. -What's new +What's new The most important changes in the releases are summariz ed below. See the README and changes files in the distributions for more complet e information on what has -changed, including both feature changes and bug fixes. +changed, including both feature changes and bug fixes. There are new options to the file command for copying files (file copy), deleting files and directories (file delete), creating directories (file - mkdir), and renaming files (file rename). + mkdir), and renaming files (file rename). The implementation of exec has been improved great ly for Windows 95 and - Windows NT. + Windows NT. There is a new memory allocator for the Macintosh version, which should be - more efficient than the old one. + more efficient than the old one. Tk's grid geometry manager has been completely rewritten. The layout algorithm produces much better layouts than before , especially where rows or - columns were stretchable. + columns were stretchable. There are new commands for creating common dialog boxes: tk_chooseColor, tk_getOpenFile, tk_getSaveFile and @@ -544,13 +544,13 @@ they are available. g events in a more portable way. See the new command event. It also allows events (both physical and - virtual) to be generated dynamically. + virtual) to be generated dynamically. Tcl 7.6 and Tk 4.2 are backwards-compatible with Tcl 7.5 and Tk 4.1 except for changes in the C APIs for custom channel drivers. Scrip ts written for earlier releases -should work on these new releases as well. +should work on these new releases as well. Obtaining The Releases @@ -564,7 +564,7 @@ platforms: execute it. The file is a self-extracting executable. It will install the Tcl and Tk libraries, the wish and - tclsh programs, and documentation. + tclsh programs, and documentation. Macintosh (both 68K and PowerPC): Fetch ftp://ftp.sunlabs.com/pub/tcl/mactk4.2b1.sea.hqx. The file is in binhex format, -- cgit v0.12 From 48a3d3e4dca22efb2981fd8eb9b505b19438a704 Mon Sep 17 00:00:00 2001 From: gahr Date: Fri, 11 Mar 2016 17:13:38 +0000 Subject: [e6f27aa56f] Initial import of libtommath-1.0 This commit brings in libtommath-1.0, as of tag v1.0 of the upstream repository at https://github.com/libtom/libtommath. Only the top-level directory has been imported: the demo, etc, logs, mtest, pics, pre_gen, and tombc directories have been removed from our repo. The stubs tables have been regenerated to accomodate for the new function: mp_expt_d_ex(mp_int *a, mp_digit b, mp_int *c, int fast); See https://github.com/libtom/libtommath/commit/e9b1837 for details. Only the unix build system has been modified for now. Windows and Mac OSX will come later. --- generic/tclStubInit.c | 1 + generic/tclTomMath.decls | 4 + generic/tclTomMath.h | 273 +- generic/tclTomMathDecls.h | 7 + libtommath/LICENSE | 29 +- libtommath/bn.ilg | 6 - libtommath/bn.ind | 82 - libtommath/bn.pdf | Bin 340921 -> 0 bytes libtommath/bn.tex | 508 +- libtommath/bn_error.c | 12 +- libtommath/bn_fast_mp_invmod.c | 20 +- libtommath/bn_fast_mp_montgomery_reduce.c | 32 +- libtommath/bn_fast_s_mp_mul_digs.c | 16 +- libtommath/bn_fast_s_mp_mul_high_digs.c | 10 +- libtommath/bn_fast_s_mp_sqr.c | 10 +- libtommath/bn_mp_2expt.c | 12 +- libtommath/bn_mp_abs.c | 8 +- libtommath/bn_mp_add.c | 8 +- libtommath/bn_mp_add_d.c | 12 +- libtommath/bn_mp_addmod.c | 8 +- libtommath/bn_mp_and.c | 8 +- libtommath/bn_mp_clamp.c | 10 +- libtommath/bn_mp_clear.c | 8 +- libtommath/bn_mp_clear_multi.c | 8 +- libtommath/bn_mp_cmp.c | 8 +- libtommath/bn_mp_cmp_d.c | 8 +- libtommath/bn_mp_cmp_mag.c | 8 +- libtommath/bn_mp_cnt_lsb.c | 12 +- libtommath/bn_mp_copy.c | 10 +- libtommath/bn_mp_count_bits.c | 8 +- libtommath/bn_mp_div.c | 81 +- libtommath/bn_mp_div_2.c | 10 +- libtommath/bn_mp_div_2d.c | 10 +- libtommath/bn_mp_div_3.c | 8 +- libtommath/bn_mp_div_d.c | 19 +- libtommath/bn_mp_dr_is_modulus.c | 8 +- libtommath/bn_mp_dr_reduce.c | 16 +- libtommath/bn_mp_dr_setup.c | 8 +- libtommath/bn_mp_exch.c | 8 +- libtommath/bn_mp_expt_d.c | 43 +- libtommath/bn_mp_exptmod.c | 10 +- libtommath/bn_mp_exptmod_fast.c | 19 +- libtommath/bn_mp_exteuclid.c | 16 +- libtommath/bn_mp_fread.c | 8 +- libtommath/bn_mp_fwrite.c | 8 +- libtommath/bn_mp_gcd.c | 10 +- libtommath/bn_mp_get_int.c | 16 +- libtommath/bn_mp_grow.c | 8 +- libtommath/bn_mp_init.c | 8 +- libtommath/bn_mp_init_copy.c | 10 +- libtommath/bn_mp_init_multi.c | 10 +- libtommath/bn_mp_init_set.c | 8 +- libtommath/bn_mp_init_set_int.c | 8 +- libtommath/bn_mp_init_size.c | 8 +- libtommath/bn_mp_invmod.c | 16 +- libtommath/bn_mp_invmod_slow.c | 22 +- libtommath/bn_mp_is_square.c | 22 +- libtommath/bn_mp_jacobi.c | 44 +- libtommath/bn_mp_karatsuba_mul.c | 12 +- libtommath/bn_mp_karatsuba_sqr.c | 12 +- libtommath/bn_mp_lcm.c | 8 +- libtommath/bn_mp_lshd.c | 14 +- libtommath/bn_mp_mod.c | 16 +- libtommath/bn_mp_mod_2d.c | 10 +- libtommath/bn_mp_mod_d.c | 8 +- libtommath/bn_mp_montgomery_calc_normalization.c | 10 +- libtommath/bn_mp_montgomery_reduce.c | 28 +- libtommath/bn_mp_montgomery_setup.c | 18 +- libtommath/bn_mp_mul.c | 15 +- libtommath/bn_mp_mul_2.c | 12 +- libtommath/bn_mp_mul_2d.c | 16 +- libtommath/bn_mp_mul_d.c | 12 +- libtommath/bn_mp_mulmod.c | 8 +- libtommath/bn_mp_n_root.c | 118 +- libtommath/bn_mp_neg.c | 8 +- libtommath/bn_mp_or.c | 8 +- libtommath/bn_mp_prime_fermat.c | 8 +- libtommath/bn_mp_prime_is_divisible.c | 8 +- libtommath/bn_mp_prime_is_prime.c | 10 +- libtommath/bn_mp_prime_miller_rabin.c | 12 +- libtommath/bn_mp_prime_next_prime.c | 18 +- libtommath/bn_mp_prime_rabin_miller_trials.c | 8 +- libtommath/bn_mp_prime_random_ex.c | 21 +- libtommath/bn_mp_radix_size.c | 35 +- libtommath/bn_mp_radix_smap.c | 8 +- libtommath/bn_mp_rand.c | 12 +- libtommath/bn_mp_read_radix.c | 25 +- libtommath/bn_mp_read_signed_bin.c | 8 +- libtommath/bn_mp_read_unsigned_bin.c | 18 +- libtommath/bn_mp_reduce.c | 22 +- libtommath/bn_mp_reduce_2k.c | 28 +- libtommath/bn_mp_reduce_2k_l.c | 30 +- libtommath/bn_mp_reduce_2k_setup.c | 8 +- libtommath/bn_mp_reduce_2k_setup_l.c | 8 +- libtommath/bn_mp_reduce_is_2k.c | 8 +- libtommath/bn_mp_reduce_is_2k_l.c | 8 +- libtommath/bn_mp_reduce_setup.c | 8 +- libtommath/bn_mp_rshd.c | 10 +- libtommath/bn_mp_set.c | 8 +- libtommath/bn_mp_set_int.c | 8 +- libtommath/bn_mp_shrink.c | 11 +- libtommath/bn_mp_signed_bin_size.c | 8 +- libtommath/bn_mp_sqr.c | 18 +- libtommath/bn_mp_sqrmod.c | 8 +- libtommath/bn_mp_sqrt.c | 9 +- libtommath/bn_mp_sub.c | 8 +- libtommath/bn_mp_sub_d.c | 16 +- libtommath/bn_mp_submod.c | 8 +- libtommath/bn_mp_to_signed_bin.c | 10 +- libtommath/bn_mp_to_signed_bin_n.c | 8 +- libtommath/bn_mp_to_unsigned_bin.c | 10 +- libtommath/bn_mp_to_unsigned_bin_n.c | 8 +- libtommath/bn_mp_toom_mul.c | 276 +- libtommath/bn_mp_toom_sqr.c | 212 +- libtommath/bn_mp_toradix.c | 14 +- libtommath/bn_mp_toradix_n.c | 12 +- libtommath/bn_mp_unsigned_bin_size.c | 10 +- libtommath/bn_mp_xor.c | 8 +- libtommath/bn_mp_zero.c | 8 +- libtommath/bn_prime_tab.c | 8 +- libtommath/bn_reverse.c | 8 +- libtommath/bn_s_mp_add.c | 14 +- libtommath/bn_s_mp_exptmod.c | 14 +- libtommath/bn_s_mp_mul_digs.c | 20 +- libtommath/bn_s_mp_mul_high_digs.c | 16 +- libtommath/bn_s_mp_sqr.c | 18 +- libtommath/bn_s_mp_sub.c | 18 +- libtommath/bncore.c | 8 +- libtommath/booker.pl | 68 +- libtommath/callgraph.txt | 18653 +++++++++++---------- libtommath/changes.txt | 45 +- libtommath/demo/demo.c | 736 - libtommath/demo/timing.c | 315 - libtommath/dep.pl | 2 +- libtommath/etc/2kprime.1 | 2 - libtommath/etc/2kprime.c | 75 - libtommath/etc/drprime.c | 59 - libtommath/etc/drprimes.28 | 25 - libtommath/etc/drprimes.txt | 9 - libtommath/etc/makefile | 50 - libtommath/etc/makefile.icc | 67 - libtommath/etc/makefile.msvc | 23 - libtommath/etc/mersenne.c | 140 - libtommath/etc/mont.c | 41 - libtommath/etc/pprime.c | 396 - libtommath/etc/prime.1024 | 414 - libtommath/etc/prime.512 | 205 - libtommath/etc/timer.asm | 37 - libtommath/etc/tune.c | 138 - libtommath/gen.pl | 4 +- libtommath/logs/README | 13 - libtommath/logs/add.log | 16 - libtommath/logs/addsub.png | Bin 6253 -> 0 bytes libtommath/logs/expt.log | 7 - libtommath/logs/expt.png | Bin 6604 -> 0 bytes libtommath/logs/expt_2k.log | 5 - libtommath/logs/expt_2kl.log | 4 - libtommath/logs/expt_dr.log | 7 - libtommath/logs/graphs.dem | 17 - libtommath/logs/index.html | 24 - libtommath/logs/invmod.log | 0 libtommath/logs/invmod.png | Bin 4917 -> 0 bytes libtommath/logs/mult.log | 84 - libtommath/logs/mult.png | Bin 6769 -> 0 bytes libtommath/logs/mult_kara.log | 84 - libtommath/logs/sqr.log | 84 - libtommath/logs/sqr_kara.log | 84 - libtommath/logs/sub.log | 16 - libtommath/makefile | 217 +- libtommath/makefile.bcc | 56 +- libtommath/makefile.cygwin_dll | 62 +- libtommath/makefile.icc | 71 +- libtommath/makefile.msvc | 54 +- libtommath/makefile.shared | 137 +- libtommath/mtest/logtab.h | 19 - libtommath/mtest/mpi-config.h | 85 - libtommath/mtest/mpi-types.h | 15 - libtommath/mtest/mpi.c | 3979 ----- libtommath/mtest/mpi.h | 225 - libtommath/mtest/mtest.c | 304 - libtommath/pics/design_process.sxd | Bin 6950 -> 0 bytes libtommath/pics/design_process.tif | Bin 79042 -> 0 bytes libtommath/pics/expt_state.sxd | Bin 6869 -> 0 bytes libtommath/pics/expt_state.tif | Bin 87540 -> 0 bytes libtommath/pics/makefile | 35 - libtommath/pics/primality.tif | Bin 85512 -> 0 bytes libtommath/pics/radix.sxd | Bin 6181 -> 0 bytes libtommath/pics/sliding_window.sxd | Bin 6787 -> 0 bytes libtommath/pics/sliding_window.tif | Bin 53880 -> 0 bytes libtommath/poster.out | 0 libtommath/poster.pdf | Bin 37822 -> 0 bytes libtommath/pre_gen/mpi.c | 9048 ---------- libtommath/tombc/grammar.txt | 35 - 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* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://math.libtomcrypt.com */ #ifndef BN_H_ #define BN_H_ +#include "tclInt.h" #include "tclTomMathDecls.h" #ifndef MODULE_SCOPE #define MODULE_SCOPE extern @@ -22,33 +23,15 @@ -#ifndef MIN -# define MIN(x,y) ((x)<(y)?(x):(y)) -#endif - -#ifndef MAX -# define MAX(x,y) ((x)>(y)?(x):(y)) -#endif - #ifdef __cplusplus extern "C" { - -/* C++ compilers don't like assigning void * to mp_digit * */ -#define OPT_CAST(x) (x *) - -#else - -/* C on the other hand doesn't care */ -#define OPT_CAST(x) - #endif - /* detect 64-bit mode if possible */ -#if defined(NEVER) /* 128-bit ints fail in too many places */ -# if !(defined(MP_64BIT) && defined(MP_16BIT) && defined(MP_8BIT)) -# define MP_64BIT -# endif +#if defined(NEVER) /* 128-bit ints fail in too many places */ + #if !(defined(MP_32BIT) || defined(MP_16BIT) || defined(MP_8BIT)) + #define MP_64BIT + #endif #endif /* some default configurations. @@ -61,83 +44,79 @@ extern "C" { */ #ifdef MP_8BIT #ifndef MP_DIGIT_DECLARED - typedef unsigned char mp_digit; + typedef uint8_t mp_digit; #define MP_DIGIT_DECLARED #endif - typedef unsigned short mp_word; + typedef uint16_t mp_word; +#define MP_SIZEOF_MP_DIGIT 1 +#ifdef DIGIT_BIT +#error You must not define DIGIT_BIT when using MP_8BIT +#endif #elif defined(MP_16BIT) #ifndef MP_DIGIT_DECLARED - typedef unsigned short mp_digit; + typedef uint16_t mp_digit; #define MP_DIGIT_DECLARED #endif - typedef unsigned long mp_word; + typedef uint32_t mp_word; +#define MP_SIZEOF_MP_DIGIT 2 +#ifdef DIGIT_BIT +#error You must not define DIGIT_BIT when using MP_16BIT +#endif #elif defined(MP_64BIT) /* for GCC only on supported platforms */ -#ifndef CRYPT - typedef unsigned long long ulong64; - typedef signed long long long64; -#endif - #ifndef MP_DIGIT_DECLARED - typedef unsigned long mp_digit; + typedef uint64_t mp_digit; #define MP_DIGIT_DECLARED #endif - typedef unsigned long mp_word __attribute__ ((mode(TI))); +#if defined(_WIN32) + typedef unsigned __int128 mp_word; +#elif defined(__GNUC__) + typedef unsigned long mp_word __attribute__ ((mode(TI))); +#else + /* it seems you have a problem + * but we assume you can somewhere define your own uint128_t */ + typedef uint128_t mp_word; +#endif -# define DIGIT_BIT 60 + #define DIGIT_BIT 60 #else /* this is the default case, 28-bit digits */ - - /* this is to make porting into LibTomCrypt easier :-) */ -#ifndef CRYPT -# if defined(_MSC_VER) || defined(__BORLANDC__) - typedef unsigned __int64 ulong64; - typedef signed __int64 long64; -# else - typedef unsigned long long ulong64; - typedef signed long long long64; -# endif -#endif + /* this is to make porting into LibTomCrypt easier :-) */ #ifndef MP_DIGIT_DECLARED - typedef unsigned int mp_digit; + typedef uint32_t mp_digit; #define MP_DIGIT_DECLARED #endif - typedef ulong64 mp_word; + typedef uint64_t mp_word; -#ifdef MP_31BIT +#ifdef MP_31BIT /* this is an extension that uses 31-bit digits */ -# define DIGIT_BIT 31 + #define DIGIT_BIT 31 #else /* default case is 28-bit digits, defines MP_28BIT as a handy macro to test */ -# define DIGIT_BIT 28 -# define MP_28BIT -#endif -#endif - -/* define heap macros */ -#if 0 /* these are macros in tclTomMathDecls.h */ -#ifndef CRYPT - /* default to libc stuff */ -# ifndef XMALLOC -# define XMALLOC malloc -# define XFREE free -# define XREALLOC realloc -# define XCALLOC calloc -# else - /* prototypes for our heap functions */ - extern void *XMALLOC(size_t n); - extern void *XREALLOC(void *p, size_t n); - extern void *XCALLOC(size_t n, size_t s); - extern void XFREE(void *p); -# endif + #define DIGIT_BIT 28 + #define MP_28BIT #endif #endif - /* otherwise the bits per digit is calculated automatically from the size of a mp_digit */ #ifndef DIGIT_BIT -# define DIGIT_BIT ((int)((CHAR_BIT * sizeof(mp_digit) - 1))) /* bits per digit */ + #define DIGIT_BIT (((CHAR_BIT * MP_SIZEOF_MP_DIGIT) - 1)) /* bits per digit */ + typedef uint_least32_t mp_min_u32; +#else + typedef mp_digit mp_min_u32; +#endif + +/* platforms that can use a better rand function */ +#if defined(__FreeBSD__) || defined(__OpenBSD__) || defined(__NetBSD__) || defined(__DragonFly__) + #define MP_USE_ALT_RAND 1 +#endif + +/* use arc4random on platforms that support it */ +#ifdef MP_USE_ALT_RAND + #define MP_GEN_RANDOM() arc4random() +#else + #define MP_GEN_RANDOM() rand() #endif #define MP_DIGIT_BIT DIGIT_BIT @@ -180,15 +159,15 @@ MODULE_SCOPE int KARATSUBA_MUL_CUTOFF, /* default precision */ #ifndef MP_PREC -# ifndef MP_LOW_MEM -# define MP_PREC 32 /* default digits of precision */ -# else -# define MP_PREC 8 /* default digits of precision */ -# endif + #ifndef MP_LOW_MEM + #define MP_PREC 32 /* default digits of precision */ + #else + #define MP_PREC 8 /* default digits of precision */ + #endif #endif /* size of comba arrays, should be at least 2 * 2**(BITS_PER_WORD - BITS_PER_DIGIT*2) */ -#define MP_WARRAY (1 << (sizeof(mp_word) * CHAR_BIT - 2 * DIGIT_BIT + 1)) +#define MP_WARRAY (1 << (((sizeof(mp_word) * CHAR_BIT) - (2 * DIGIT_BIT)) + 1)) /* the infamous mp_int structure */ #ifndef MP_INT_DECLARED @@ -209,9 +188,7 @@ typedef int ltm_prime_callback(unsigned char *dst, int len, void *dat); #define SIGN(m) ((m)->sign) /* error code to char* string */ -/* -char *mp_error_to_string(int code); -*/ +const char *mp_error_to_string(int code); /* ---> init and deinit bignum functions <--- */ /* init a bignum */ @@ -256,8 +233,9 @@ int mp_init_size(mp_int *a, int size); /* ---> Basic Manipulations <--- */ #define mp_iszero(a) (((a)->used == 0) ? MP_YES : MP_NO) -#define mp_iseven(a) (((a)->used == 0 || (((a)->dp[0] & 1) == 0)) ? MP_YES : MP_NO) -#define mp_isodd(a) (((a)->used > 0 && (((a)->dp[0] & 1) == 1)) ? MP_YES : MP_NO) +#define mp_iseven(a) ((((a)->used == 0) || (((a)->dp[0] & 1u) == 0u)) ? MP_YES : MP_NO) +#define mp_isodd(a) ((((a)->used > 0) && (((a)->dp[0] & 1u) == 1u)) ? MP_YES : MP_NO) +#define mp_isneg(a) (((a)->sign != MP_ZPOS) ? MP_YES : MP_NO) /* set to zero */ /* @@ -274,9 +252,25 @@ void mp_set(mp_int *a, mp_digit b); int mp_set_int(mp_int *a, unsigned long b); */ +/* set a platform dependent unsigned long value */ +/* +int mp_set_long(mp_int *a, unsigned long b); +*/ + +/* set a platform dependent unsigned long long value */ +/* +int mp_set_long_long(mp_int *a, unsigned long long b); +*/ + /* get a 32-bit value */ unsigned long mp_get_int(mp_int * a); +/* get a platform dependent unsigned long value */ +unsigned long mp_get_long(mp_int * a); + +/* get a platform dependent unsigned long long value */ +unsigned long long mp_get_long_long(mp_int * a); + /* initialize and set a digit */ /* int mp_init_set (mp_int * a, mp_digit b); @@ -302,6 +296,16 @@ int mp_init_copy(mp_int *a, mp_int *b); void mp_clamp(mp_int *a); */ +/* import binary data */ +/* +int mp_import(mp_int* rop, size_t count, int order, size_t size, int endian, size_t nails, const void* op); +*/ + +/* export binary data */ +/* +int mp_export(void* rop, size_t* countp, int order, size_t size, int endian, size_t nails, mp_int* op); +*/ + /* ---> digit manipulation <--- */ /* right shift by "b" digits */ @@ -314,7 +318,7 @@ void mp_rshd(mp_int *a, int b); int mp_lshd(mp_int *a, int b); */ -/* c = a / 2**b */ +/* c = a / 2**b, implemented as c = a >> b */ /* int mp_div_2d(const mp_int *a, int b, mp_int *c, mp_int *d); */ @@ -324,7 +328,7 @@ int mp_div_2d(const mp_int *a, int b, mp_int *c, mp_int *d); int mp_div_2(mp_int *a, mp_int *b); */ -/* c = a * 2**b */ +/* c = a * 2**b, implemented as c = a << b */ /* int mp_mul_2d(const mp_int *a, int b, mp_int *c); */ @@ -334,7 +338,7 @@ int mp_mul_2d(const mp_int *a, int b, mp_int *c); int mp_mul_2(mp_int *a, mp_int *b); */ -/* c = a mod 2**d */ +/* c = a mod 2**b */ /* int mp_mod_2d(const mp_int *a, int b, mp_int *c); */ @@ -460,6 +464,9 @@ int mp_div_3(mp_int *a, mp_int *c, mp_digit *d); /* int mp_expt_d(mp_int *a, mp_digit b, mp_int *c); */ +/* +int mp_expt_d_ex (mp_int * a, mp_digit b, mp_int * c, int fast); +*/ /* c = a mod b, 0 <= c < b */ /* @@ -515,12 +522,20 @@ int mp_lcm(mp_int *a, mp_int *b, mp_int *c); /* int mp_n_root(mp_int *a, mp_digit b, mp_int *c); */ +/* +int mp_n_root_ex (mp_int * a, mp_digit b, mp_int * c, int fast); +*/ /* special sqrt algo */ /* int mp_sqrt(mp_int *arg, mp_int *ret); */ +/* special sqrt (mod prime) */ +/* +int mp_sqrtmod_prime(mp_int *arg, mp_int *prime, mp_int *ret); +*/ + /* is number a square? */ /* int mp_is_square(mp_int *arg, int *ret); @@ -616,14 +631,14 @@ int mp_exptmod(mp_int *a, mp_int *b, mp_int *c, mp_int *d); /* number of primes */ #ifdef MP_8BIT -# define PRIME_SIZE 31 + #define PRIME_SIZE 31 #else -# define PRIME_SIZE 256 + #define PRIME_SIZE 256 #endif /* table of first PRIME_SIZE primes */ #if defined(BUILD_tcl) || !defined(_WIN32) -MODULE_SCOPE const mp_digit ltm_prime_tab[]; +MODULE_SCOPE const mp_digit ltm_prime_tab[PRIME_SIZE]; #endif /* result=1 if a is divisible by one of the first PRIME_SIZE primes */ @@ -646,7 +661,7 @@ int mp_prime_miller_rabin(mp_int *a, mp_int *b, int *result); */ /* This gives [for a given bit size] the number of trials required - * such that Miller-Rabin gives a prob of failure lower than 2^-96 + * such that Miller-Rabin gives a prob of failure lower than 2^-96 */ /* int mp_prime_rabin_miller_trials(int size); @@ -673,7 +688,7 @@ int mp_prime_next_prime(mp_int *a, int t, int bbs_style); */ /* makes a truly random prime of a given size (bytes), - * call with bbs = 1 if you want it to be congruent to 3 mod 4 + * call with bbs = 1 if you want it to be congruent to 3 mod 4 * * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can * have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself @@ -686,10 +701,9 @@ int mp_prime_next_prime(mp_int *a, int t, int bbs_style); /* makes a truly random prime of a given size (bits), * * Flags are as follows: - * + * * LTM_PRIME_BBS - make prime congruent to 3 mod 4 * LTM_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies LTM_PRIME_BBS) - * LTM_PRIME_2MSB_OFF - make the 2nd highest bit zero * LTM_PRIME_2MSB_ON - make the 2nd highest bit one * * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can @@ -745,12 +759,14 @@ int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen); int mp_radix_size(mp_int *a, int radix, int *size); */ +#ifndef LTM_NO_FILE /* int mp_fread(mp_int *a, int radix, FILE *stream); */ /* int mp_fwrite(mp_int *a, int radix, FILE *stream); */ +#endif #define mp_read_raw(mp, str, len) mp_read_signed_bin((mp), (str), (len)) #define mp_raw_size(mp) mp_signed_bin_size(mp) @@ -764,69 +780,14 @@ int mp_fwrite(mp_int *a, int radix, FILE *stream); #define mp_todecimal(M, S) mp_toradix((M), (S), 10) #define mp_tohex(M, S) mp_toradix((M), (S), 16) -/* lowlevel functions, do not call! */ -/* -int s_mp_add(mp_int *a, mp_int *b, mp_int *c); -*/ -/* -int s_mp_sub(mp_int *a, mp_int *b, mp_int *c); -*/ -#define s_mp_mul(a, b, c) s_mp_mul_digs(a, b, c, (a)->used + (b)->used + 1) -/* -int fast_s_mp_mul_digs(mp_int *a, mp_int *b, mp_int *c, int digs); -*/ -/* -int s_mp_mul_digs(mp_int *a, mp_int *b, mp_int *c, int digs); -*/ -/* -int fast_s_mp_mul_high_digs(mp_int *a, mp_int *b, mp_int *c, int digs); -*/ -/* -int s_mp_mul_high_digs(mp_int *a, mp_int *b, mp_int *c, int digs); -*/ -/* -int fast_s_mp_sqr(mp_int *a, mp_int *b); -*/ -/* -int s_mp_sqr(mp_int *a, mp_int *b); -*/ -/* -int mp_karatsuba_mul(mp_int *a, mp_int *b, mp_int *c); -*/ -/* -int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c); -*/ -/* -int mp_karatsuba_sqr(mp_int *a, mp_int *b); -*/ -/* -int mp_toom_sqr(mp_int *a, mp_int *b); -*/ -/* -int fast_mp_invmod(mp_int *a, mp_int *b, mp_int *c); -*/ -/* -int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c); -*/ -/* -int fast_mp_montgomery_reduce(mp_int *a, mp_int *m, mp_digit mp); -*/ -/* -int mp_exptmod_fast(mp_int *G, mp_int *X, mp_int *P, mp_int *Y, int mode); -*/ -/* -int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int mode); -*/ -/* -void bn_reverse(unsigned char *s, int len); -*/ - -#if defined(BUILD_tcl) || !defined(_WIN32) -MODULE_SCOPE const char *mp_s_rmap; -#endif - #ifdef __cplusplus -} + } #endif #endif + + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ + diff --git a/generic/tclTomMathDecls.h b/generic/tclTomMathDecls.h index 2ce9d5a..e7b68ff 100644 --- a/generic/tclTomMathDecls.h +++ b/generic/tclTomMathDecls.h @@ -73,6 +73,7 @@ #define mp_div_d TclBN_mp_div_d #define mp_exch TclBN_mp_exch #define mp_expt_d TclBN_mp_expt_d +#define mp_expt_d_ex TclBN_mp_expt_d_ex #define mp_grow TclBN_mp_grow #define mp_init TclBN_mp_init #define mp_init_copy TclBN_mp_init_copy @@ -287,6 +288,9 @@ EXTERN void TclBNInitBignumFromWideInt(mp_int *bignum, /* 66 */ EXTERN void TclBNInitBignumFromWideUInt(mp_int *bignum, Tcl_WideUInt initVal); +/* 67 */ +EXTERN int TclBN_mp_expt_d_ex(mp_int *a, mp_digit b, mp_int *c, + int fast); typedef struct TclTomMathStubs { int magic; @@ -359,6 +363,7 @@ typedef struct TclTomMathStubs { void (*tclBNInitBignumFromLong) (mp_int *bignum, long initVal); /* 64 */ void (*tclBNInitBignumFromWideInt) (mp_int *bignum, Tcl_WideInt initVal); /* 65 */ void (*tclBNInitBignumFromWideUInt) (mp_int *bignum, Tcl_WideUInt initVal); /* 66 */ + int (*tclBN_mp_expt_d_ex) (mp_int *a, mp_digit b, mp_int *c, int fast); /* 67 */ } TclTomMathStubs; extern const TclTomMathStubs *tclTomMathStubsPtr; @@ -507,6 +512,8 @@ extern const TclTomMathStubs *tclTomMathStubsPtr; (tclTomMathStubsPtr->tclBNInitBignumFromWideInt) /* 65 */ #define TclBNInitBignumFromWideUInt \ (tclTomMathStubsPtr->tclBNInitBignumFromWideUInt) /* 66 */ +#define TclBN_mp_expt_d_ex \ + (tclTomMathStubsPtr->tclBN_mp_expt_d_ex) /* 67 */ #endif /* defined(USE_TCL_STUBS) */ diff --git a/libtommath/LICENSE b/libtommath/LICENSE index 5baa792..04d6d1d 100644 --- a/libtommath/LICENSE +++ b/libtommath/LICENSE @@ -1,4 +1,29 @@ -LibTomMath is hereby released into the Public Domain. +LibTomMath is licensed under DUAL licensing terms. --- Tom St Denis +Choose and use the license of your needs. +[LICENSE #1] + +LibTomMath is public domain. As should all quality software be. + +Tom St Denis + +[/LICENSE #1] + +[LICENSE #2] + + DO WHAT THE FUCK YOU WANT TO PUBLIC LICENSE + Version 2, December 2004 + + Copyright (C) 2004 Sam Hocevar + + Everyone is permitted to copy and distribute verbatim or modified + copies of this license document, and changing it is allowed as long + as the name is changed. + + DO WHAT THE FUCK YOU WANT TO PUBLIC LICENSE + TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION + + 0. You just DO WHAT THE FUCK YOU WANT TO. + +[/LICENSE #2] diff --git a/libtommath/bn.ilg b/libtommath/bn.ilg deleted file mode 100644 index 3c859f0..0000000 --- a/libtommath/bn.ilg +++ /dev/null @@ -1,6 +0,0 @@ -This is makeindex, version 2.14 [02-Oct-2002] (kpathsea + Thai support). -Scanning input file bn.idx....done (79 entries accepted, 0 rejected). -Sorting entries....done (511 comparisons). -Generating output file bn.ind....done (82 lines written, 0 warnings). -Output written in bn.ind. -Transcript written in bn.ilg. diff --git a/libtommath/bn.ind b/libtommath/bn.ind deleted file mode 100644 index e5f7d4a..0000000 --- a/libtommath/bn.ind +++ /dev/null @@ -1,82 +0,0 @@ -\begin{theindex} - - \item mp\_add, \hyperpage{29} - \item mp\_add\_d, \hyperpage{52} - \item mp\_and, \hyperpage{29} - \item mp\_clear, \hyperpage{11} - \item mp\_clear\_multi, \hyperpage{12} - \item mp\_cmp, \hyperpage{24} - \item mp\_cmp\_d, \hyperpage{25} - \item mp\_cmp\_mag, \hyperpage{23} - \item mp\_div, \hyperpage{30} - \item mp\_div\_2, \hyperpage{26} - \item mp\_div\_2d, \hyperpage{28} - \item mp\_div\_d, \hyperpage{52} - \item mp\_dr\_reduce, \hyperpage{40} - \item mp\_dr\_setup, \hyperpage{40} - \item MP\_EQ, \hyperpage{22} - \item mp\_error\_to\_string, \hyperpage{10} - \item mp\_expt\_d, \hyperpage{43} - \item mp\_exptmod, \hyperpage{43} - \item mp\_exteuclid, \hyperpage{51} - \item mp\_gcd, \hyperpage{51} - \item mp\_get\_int, \hyperpage{20} - \item mp\_grow, \hyperpage{16} - \item MP\_GT, \hyperpage{22} - \item mp\_init, \hyperpage{11} - \item mp\_init\_copy, \hyperpage{13} - \item mp\_init\_multi, \hyperpage{12} - \item mp\_init\_set, \hyperpage{21} - \item mp\_init\_set\_int, \hyperpage{21} - \item mp\_init\_size, \hyperpage{14} - \item mp\_int, \hyperpage{10} - \item mp\_invmod, \hyperpage{52} - \item mp\_jacobi, \hyperpage{52} - \item mp\_lcm, \hyperpage{51} - \item mp\_lshd, \hyperpage{28} - \item MP\_LT, \hyperpage{22} - \item MP\_MEM, \hyperpage{9} - \item mp\_mod, \hyperpage{35} - \item mp\_mod\_d, \hyperpage{52} - \item mp\_montgomery\_calc\_normalization, \hyperpage{38} - \item mp\_montgomery\_reduce, \hyperpage{37} - \item mp\_montgomery\_setup, \hyperpage{37} - \item mp\_mul, \hyperpage{31} - \item mp\_mul\_2, \hyperpage{26} - \item mp\_mul\_2d, \hyperpage{28} - \item mp\_mul\_d, \hyperpage{52} - \item mp\_n\_root, \hyperpage{44} - \item mp\_neg, \hyperpage{29} - \item MP\_NO, \hyperpage{9} - \item MP\_OKAY, \hyperpage{9} - \item mp\_or, \hyperpage{29} - \item mp\_prime\_fermat, \hyperpage{45} - \item mp\_prime\_is\_divisible, \hyperpage{45} - \item mp\_prime\_is\_prime, \hyperpage{46} - \item mp\_prime\_miller\_rabin, \hyperpage{45} - \item mp\_prime\_next\_prime, \hyperpage{46} - \item mp\_prime\_rabin\_miller\_trials, \hyperpage{46} - \item mp\_prime\_random, \hyperpage{47} - \item mp\_prime\_random\_ex, \hyperpage{47} - \item mp\_radix\_size, \hyperpage{49} - \item mp\_read\_radix, \hyperpage{49} - \item mp\_read\_unsigned\_bin, \hyperpage{50} - \item mp\_reduce, \hyperpage{36} - \item mp\_reduce\_2k, \hyperpage{41} - \item mp\_reduce\_2k\_setup, \hyperpage{41} - \item mp\_reduce\_setup, \hyperpage{36} - \item mp\_rshd, \hyperpage{28} - \item mp\_set, \hyperpage{19} - \item mp\_set\_int, \hyperpage{20} - \item mp\_shrink, \hyperpage{15} - \item mp\_sqr, \hyperpage{33} - \item mp\_sub, \hyperpage{29} - \item mp\_sub\_d, \hyperpage{52} - \item mp\_to\_unsigned\_bin, \hyperpage{50} - \item mp\_toradix, \hyperpage{49} - \item mp\_unsigned\_bin\_size, \hyperpage{50} - \item MP\_VAL, \hyperpage{9} - \item mp\_xor, \hyperpage{29} - \item MP\_YES, \hyperpage{9} - -\end{theindex} diff --git a/libtommath/bn.pdf b/libtommath/bn.pdf deleted file mode 100644 index 392b649..0000000 Binary files a/libtommath/bn.pdf and /dev/null differ diff --git a/libtommath/bn.tex b/libtommath/bn.tex index e8eb994..5804318 100644 --- a/libtommath/bn.tex +++ b/libtommath/bn.tex @@ -1,4 +1,4 @@ -\documentclass[b5paper]{book} +\documentclass[synpaper]{book} \usepackage{hyperref} \usepackage{makeidx} \usepackage{amssymb} @@ -49,10 +49,10 @@ \begin{document} \frontmatter \pagestyle{empty} -\title{LibTomMath User Manual \\ v0.39} -\author{Tom St Denis \\ tomstdenis@iahu.ca} +\title{LibTomMath User Manual \\ v1.0} +\author{Tom St Denis \\ tstdenis82@gmail.com} \maketitle -This text, the library and the accompanying textbook are all hereby placed in the public domain. This book has been +This text, the library and the accompanying textbook are all hereby placed in the public domain. This book has been formatted for B5 [176x250] paper using the \LaTeX{} {\em book} macro package. \vspace{10cm} @@ -74,12 +74,12 @@ Ontario, Canada \section{What is LibTomMath?} LibTomMath is a library of source code which provides a series of efficient and carefully written functions for manipulating large integer numbers. It was written in portable ISO C source code so that it will build on any platform with a conforming -C compiler. +C compiler. In a nutshell the library was written from scratch with verbose comments to help instruct computer science students how -to implement ``bignum'' math. However, the resulting code has proven to be very useful. It has been used by numerous +to implement ``bignum'' math. However, the resulting code has proven to be very useful. It has been used by numerous universities, commercial and open source software developers. It has been used on a variety of platforms ranging from -Linux and Windows based x86 to ARM based Gameboys and PPC based MacOS machines. +Linux and Windows based x86 to ARM based Gameboys and PPC based MacOS machines. \section{License} As of the v0.25 the library source code has been placed in the public domain with every new release. As of the v0.28 @@ -87,14 +87,14 @@ release the textbook ``Implementing Multiple Precision Arithmetic'' has been pla release as well. This textbook is meant to compliment the project by providing a more solid walkthrough of the development algorithms used in the library. -Since both\footnote{Note that the MPI files under mtest/ are copyrighted by Michael Fromberger. They are not required to use LibTomMath.} are in the +Since both\footnote{Note that the MPI files under mtest/ are copyrighted by Michael Fromberger. They are not required to use LibTomMath.} are in the public domain everyone is entitled to do with them as they see fit. \section{Building LibTomMath} LibTomMath is meant to be very ``GCC friendly'' as it comes with a makefile well suited for GCC. However, the library will also build in MSVC, Borland C out of the box. For any other ISO C compiler a makefile will have to be made by the end -developer. +developer. \subsection{Static Libraries} To build as a static library for GCC issue the following @@ -102,14 +102,14 @@ To build as a static library for GCC issue the following make \end{alltt} -command. This will build the library and archive the object files in ``libtommath.a''. Now you link against +command. This will build the library and archive the object files in ``libtommath.a''. Now you link against that and include ``tommath.h'' within your programs. Alternatively to build with MSVC issue the following \begin{alltt} nmake -f makefile.msvc \end{alltt} -This will build the library and archive the object files in ``tommath.lib''. This has been tested with MSVC -version 6.00 with service pack 5. +This will build the library and archive the object files in ``tommath.lib''. This has been tested with MSVC +version 6.00 with service pack 5. \subsection{Shared Libraries} To build as a shared library for GCC issue the following @@ -117,12 +117,12 @@ To build as a shared library for GCC issue the following make -f makefile.shared \end{alltt} This requires the ``libtool'' package (common on most Linux/BSD systems). It will build LibTomMath as both shared -and static then install (by default) into /usr/lib as well as install the header files in /usr/include. The shared -library (resource) will be called ``libtommath.la'' while the static library called ``libtommath.a''. Generally -you use libtool to link your application against the shared object. +and static then install (by default) into /usr/lib as well as install the header files in /usr/include. The shared +library (resource) will be called ``libtommath.la'' while the static library called ``libtommath.a''. Generally +you use libtool to link your application against the shared object. -There is limited support for making a ``DLL'' in windows via the ``makefile.cygwin\_dll'' makefile. It requires -Cygwin to work with since it requires the auto-export/import functionality. The resulting DLL and import library +There is limited support for making a ``DLL'' in windows via the ``makefile.cygwin\_dll'' makefile. It requires +Cygwin to work with since it requires the auto-export/import functionality. The resulting DLL and import library ``libtommath.dll.a'' can be used to link LibTomMath dynamically to any Windows program using Cygwin. \subsection{Testing} @@ -140,7 +140,7 @@ is included in the package}. Simply pipe mtest into test using mtest/mtest | test \end{alltt} -If you do not have a ``/dev/urandom'' style RNG source you will have to write your own PRNG and simply pipe that into +If you do not have a ``/dev/urandom'' style RNG source you will have to write your own PRNG and simply pipe that into mtest. For example, if your PRNG program is called ``myprng'' simply invoke \begin{alltt} @@ -152,17 +152,17 @@ that is being performed. The numbers represent how many times the test was invo will exit with a dump of the relevent numbers it was working with. \section{Build Configuration} -LibTomMath can configured at build time in three phases we shall call ``depends'', ``tweaks'' and ``trims''. -Each phase changes how the library is built and they are applied one after another respectively. +LibTomMath can configured at build time in three phases we shall call ``depends'', ``tweaks'' and ``trims''. +Each phase changes how the library is built and they are applied one after another respectively. To make the system more powerful you can tweak the build process. Classes are defined in the file -``tommath\_superclass.h''. By default, the symbol ``LTM\_ALL'' shall be defined which simply -instructs the system to build all of the functions. This is how LibTomMath used to be packaged. This will give you +``tommath\_superclass.h''. By default, the symbol ``LTM\_ALL'' shall be defined which simply +instructs the system to build all of the functions. This is how LibTomMath used to be packaged. This will give you access to every function LibTomMath offers. -However, there are cases where such a build is not optional. For instance, you want to perform RSA operations. You -don't need the vast majority of the library to perform these operations. Aside from LTM\_ALL there is -another pre--defined class ``SC\_RSA\_1'' which works in conjunction with the RSA from LibTomCrypt. Additional +However, there are cases where such a build is not optional. For instance, you want to perform RSA operations. You +don't need the vast majority of the library to perform these operations. Aside from LTM\_ALL there is +another pre--defined class ``SC\_RSA\_1'' which works in conjunction with the RSA from LibTomCrypt. Additional classes can be defined base on the need of the user. \subsection{Build Depends} @@ -172,8 +172,8 @@ file. For instance, BN\_MP\_ADD\_C represents the file ``bn\_mp\_add.c''. When function in the respective file will be compiled and linked into the library. Accordingly when the define is absent the file will not be compiled and not contribute any size to the library. -You will also note that the header tommath\_class.h is actually recursively included (it includes itself twice). -This is to help resolve as many dependencies as possible. In the last pass the symbol LTM\_LAST will be defined. +You will also note that the header tommath\_class.h is actually recursively included (it includes itself twice). +This is to help resolve as many dependencies as possible. In the last pass the symbol LTM\_LAST will be defined. This is useful for ``trims''. \subsection{Build Tweaks} @@ -193,7 +193,7 @@ They can be enabled at any pass of the configuration phase. \subsection{Build Trims} A trim is a manner of removing functionality from a function that is not required. For instance, to perform -RSA cryptography you only require exponentiation with odd moduli so even moduli support can be safely removed. +RSA cryptography you only require exponentiation with odd moduli so even moduli support can be safely removed. Build trims are meant to be defined on the last pass of the configuration which means they are to be defined only if LTM\_LAST has been defined. @@ -232,7 +232,7 @@ only if LTM\_LAST has been defined. & BN\_S\_MP\_SQR\_C \\ \hline Polynomial Schmolynomial & BN\_MP\_KARATSUBA\_MUL\_C \\ & BN\_MP\_KARATSUBA\_SQR\_C \\ - & BN\_MP\_TOOM\_MUL\_C \\ + & BN\_MP\_TOOM\_MUL\_C \\ & BN\_MP\_TOOM\_SQR\_C \\ \hline @@ -242,11 +242,11 @@ only if LTM\_LAST has been defined. \section{Purpose of LibTomMath} -Unlike GNU MP (GMP) Library, LIP, OpenSSL or various other commercial kits (Miracl), LibTomMath was not written with -bleeding edge performance in mind. First and foremost LibTomMath was written to be entirely open. Not only is the +Unlike GNU MP (GMP) Library, LIP, OpenSSL or various other commercial kits (Miracl), LibTomMath was not written with +bleeding edge performance in mind. First and foremost LibTomMath was written to be entirely open. Not only is the source code public domain (unlike various other GPL/etc licensed code), not only is the code freely downloadable but the source code is also accessible for computer science students attempting to learn ``BigNum'' or multiple precision -arithmetic techniques. +arithmetic techniques. LibTomMath was written to be an instructive collection of source code. This is why there are many comments, only one function per source file and often I use a ``middle-road'' approach where I don't cut corners for an extra 2\% speed @@ -277,9 +277,9 @@ are the pros and cons of LibTomMath by comparing it to the math routines from Gn \caption{LibTomMath Valuation} \end{figure} -It may seem odd to compare LibTomMath to GnuPG since the math in GnuPG is only a small portion of the entire application. +It may seem odd to compare LibTomMath to GnuPG since the math in GnuPG is only a small portion of the entire application. However, LibTomMath was written with cryptography in mind. It provides essentially all of the functions a cryptosystem -would require when working with large integers. +would require when working with large integers. So it may feel tempting to just rip the math code out of GnuPG (or GnuMP where it was taken from originally) in your own application but I think there are reasons not to. While LibTomMath is slower than libraries such as GnuMP it is @@ -289,11 +289,11 @@ exponentiations. It depends largely on the processor, compiler and the moduli b Essentially the only time you wouldn't use LibTomMath is when blazing speed is the primary concern. However, on the other side of the coin LibTomMath offers you a totally free (public domain) well structured math library that is very flexible, complete and performs well in resource contrained environments. Fast RSA for example can -be performed with as little as 8KB of ram for data (again depending on build options). +be performed with as little as 8KB of ram for data (again depending on build options). \chapter{Getting Started with LibTomMath} \section{Building Programs} -In order to use LibTomMath you must include ``tommath.h'' and link against the appropriate library file (typically +In order to use LibTomMath you must include ``tommath.h'' and link against the appropriate library file (typically libtommath.a). There is no library initialization required and the entire library is thread safe. \section{Return Codes} @@ -327,8 +327,8 @@ to a string use the following function. char *mp_error_to_string(int code); \end{alltt} -This will return a pointer to a string which describes the given error code. It will not work for the return codes -MP\_YES and MP\_NO. +This will return a pointer to a string which describes the given error code. It will not work for the return codes +MP\_YES and MP\_NO. \section{Data Types} The basic ``multiple precision integer'' type is known as the ``mp\_int'' within LibTomMath. This data type is used to @@ -345,7 +345,7 @@ typedef struct \{ Where ``mp\_digit'' is a data type that represents individual digits of the integer. By default, an mp\_digit is the ISO C ``unsigned long'' data type and each digit is $28-$bits long. The mp\_digit type can be configured to suit other -platforms by defining the appropriate macros. +platforms by defining the appropriate macros. All LTM functions that use the mp\_int type will expect a pointer to mp\_int structure. You must allocate memory to hold the structure itself by yourself (whether off stack or heap it doesn't matter). The very first thing that must be @@ -374,7 +374,7 @@ This allows operands to be re-used which can make programming simpler. \section{Initialization} \subsection{Single Initialization} -A single mp\_int can be initialized with the ``mp\_init'' function. +A single mp\_int can be initialized with the ``mp\_init'' function. \index{mp\_init} \begin{alltt} @@ -392,11 +392,11 @@ int main(void) int result; if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* use the number */ return EXIT_SUCCESS; @@ -404,7 +404,7 @@ int main(void) \end{alltt} \end{small} \subsection{Single Free} -When you are finished with an mp\_int it is ideal to return the heap it used back to the system. The following function +When you are finished with an mp\_int it is ideal to return the heap it used back to the system. The following function provides this functionality. \index{mp\_clear} @@ -412,9 +412,9 @@ provides this functionality. void mp_clear (mp_int * a); \end{alltt} -The function expects a pointer to a previously initialized mp\_int structure and frees the heap it uses. It sets the -pointer\footnote{The ``dp'' member.} within the mp\_int to \textbf{NULL} which is used to prevent double free situations. -Is is legal to call mp\_clear() twice on the same mp\_int in a row. +The function expects a pointer to a previously initialized mp\_int structure and frees the heap it uses. It sets the +pointer\footnote{The ``dp'' member.} within the mp\_int to \textbf{NULL} which is used to prevent double free situations. +Is is legal to call mp\_clear() twice on the same mp\_int in a row. \begin{small} \begin{alltt} int main(void) @@ -423,11 +423,11 @@ int main(void) int result; if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* use the number */ /* We're done with it. */ @@ -451,8 +451,8 @@ int mp_init_multi(mp_int *mp, ...); It accepts a \textbf{NULL} terminated list of pointers to mp\_int structures. It will attempt to initialize them all at once. If the function returns MP\_OKAY then all of the mp\_int variables are ready to use, otherwise none of them -are available for use. A complementary mp\_clear\_multi() function allows multiple mp\_int variables to be free'd -from the heap at the same time. +are available for use. A complementary mp\_clear\_multi() function allows multiple mp\_int variables to be free'd +from the heap at the same time. \begin{small} \begin{alltt} int main(void) @@ -460,14 +460,14 @@ int main(void) mp_int num1, num2, num3; int result; - if ((result = mp_init_multi(&num1, + if ((result = mp_init_multi(&num1, &num2, - &num3, NULL)) != MP\_OKAY) \{ - printf("Error initializing the numbers. \%s", + &num3, NULL)) != MP\_OKAY) \{ + printf("Error initializing the numbers. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* use the numbers */ /* We're done with them. */ @@ -478,7 +478,7 @@ int main(void) \end{alltt} \end{small} \subsection{Other Initializers} -To initialized and make a copy of an mp\_int the mp\_init\_copy() function has been provided. +To initialized and make a copy of an mp\_int the mp\_init\_copy() function has been provided. \index{mp\_init\_copy} \begin{alltt} @@ -497,11 +497,11 @@ int main(void) /* We want a copy of num1 in num2 now */ if ((result = mp_init_copy(&num2, &num1)) != MP_OKAY) \{ - printf("Error initializing the copy. \%s", + printf("Error initializing the copy. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* now num2 is ready and contains a copy of num1 */ /* We're done with them. */ @@ -521,7 +521,7 @@ int mp_init_size (mp_int * a, int size); \end{alltt} The $size$ parameter must be greater than zero. If the function succeeds the mp\_int $a$ will be initialized -to have $size$ digits (which are all initially zero). +to have $size$ digits (which are all initially zero). \begin{small} \begin{alltt} int main(void) @@ -531,11 +531,11 @@ int main(void) /* we need a 60-digit number */ if ((result = mp_init_size(&number, 60)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* use the number */ return EXIT_SUCCESS; @@ -556,7 +556,7 @@ int mp_shrink (mp_int * a); This will remove excess digits of the mp\_int $a$. If the operation fails the mp\_int should be intact without the excess digits being removed. Note that you can use a shrunk mp\_int in further computations, however, such operations will require heap operations which can be slow. It is not ideal to shrink mp\_int variables that you will further -modify in the system (unless you are seriously low on memory). +modify in the system (unless you are seriously low on memory). \begin{small} \begin{alltt} int main(void) @@ -565,16 +565,16 @@ int main(void) int result; if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* use the number [e.g. pre-computation] */ /* We're done with it for now. */ if ((result = mp_shrink(&number)) != MP_OKAY) \{ - printf("Error shrinking the number. \%s", + printf("Error shrinking the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -582,7 +582,7 @@ int main(void) /* use it .... */ - /* we're done with it. */ + /* we're done with it. */ mp_clear(&number); return EXIT_SUCCESS; @@ -595,7 +595,7 @@ Within the mp\_int structure are two parameters which control the limitations of the integer the mp\_int is meant to equal. The \textit{used} parameter dictates how many digits are significant, that is, contribute to the value of the mp\_int. The \textit{alloc} parameter dictates how many digits are currently available in the array. If you need to perform an operation that requires more digits you will have to mp\_grow() the mp\_int to -your desired size. +your desired size. \index{mp\_grow} \begin{alltt} @@ -612,16 +612,16 @@ int main(void) int result; if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* use the number */ /* We need to add 20 digits to the number */ if ((result = mp_grow(&number, number.alloc + 20)) != MP_OKAY) \{ - printf("Error growing the number. \%s", + printf("Error growing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -629,7 +629,7 @@ int main(void) /* use the number */ - /* we're done with it. */ + /* we're done with it. */ mp_clear(&number); return EXIT_SUCCESS; @@ -641,7 +641,7 @@ int main(void) Setting mp\_ints to small constants is a relatively common operation. To accomodate these instances there are two small constant assignment functions. The first function is used to set a single digit constant while the second sets an ISO C style ``unsigned long'' constant. The reason for both functions is efficiency. Setting a single digit is quick but the -domain of a digit can change (it's always at least $0 \ldots 127$). +domain of a digit can change (it's always at least $0 \ldots 127$). \subsection{Single Digit} @@ -663,15 +663,15 @@ int main(void) int result; if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* set the number to 5 */ mp_set(&number, 5); - /* we're done with it. */ + /* we're done with it. */ mp_clear(&number); return EXIT_SUCCESS; @@ -680,7 +680,7 @@ int main(void) \subsection{Long Constants} -To set a constant that is the size of an ISO C ``unsigned long'' and larger than a single digit the following function +To set a constant that is the size of an ISO C ``unsigned long'' and larger than a single digit the following function can be used. \index{mp\_set\_int} @@ -689,7 +689,7 @@ int mp_set_int (mp_int * a, unsigned long b); \end{alltt} This will assign the value of the 32-bit variable $b$ to the mp\_int $a$. Unlike mp\_set() this function will always -accept a 32-bit input regardless of the size of a single digit. However, since the value may span several digits +accept a 32-bit input regardless of the size of a single digit. However, since the value may span several digits this function can fail if it runs out of heap memory. To get the ``unsigned long'' copy of an mp\_int the following function can be used. @@ -699,7 +699,7 @@ To get the ``unsigned long'' copy of an mp\_int the following function can be us unsigned long mp_get_int (mp_int * a); \end{alltt} -This will return the 32 least significant bits of the mp\_int $a$. +This will return the 32 least significant bits of the mp\_int $a$. \begin{small} \begin{alltt} int main(void) @@ -708,21 +708,21 @@ int main(void) int result; if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* set the number to 654321 (note this is bigger than 127) */ if ((result = mp_set_int(&number, 654321)) != MP_OKAY) \{ - printf("Error setting the value of the number. \%s", + printf("Error setting the value of the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} printf("number == \%lu", mp_get_int(&number)); - /* we're done with it. */ + /* we're done with it. */ mp_clear(&number); return EXIT_SUCCESS; @@ -735,6 +735,42 @@ This should output the following if the program succeeds. number == 654321 \end{alltt} +\subsection{Long Constants - platform dependant} + +\index{mp\_set\_long} +\begin{alltt} +int mp_set_long (mp_int * a, unsigned long b); +\end{alltt} + +This will assign the value of the platform-dependant sized variable $b$ to the mp\_int $a$. + +To get the ``unsigned long'' copy of an mp\_int the following function can be used. + +\index{mp\_get\_long} +\begin{alltt} +unsigned long mp_get_long (mp_int * a); +\end{alltt} + +This will return the least significant bits of the mp\_int $a$ that fit into an ``unsigned long''. + +\subsection{Long Long Constants} + +\index{mp\_set\_long\_long} +\begin{alltt} +int mp_set_long_long (mp_int * a, unsigned long long b); +\end{alltt} + +This will assign the value of the 64-bit variable $b$ to the mp\_int $a$. + +To get the ``unsigned long long'' copy of an mp\_int the following function can be used. + +\index{mp\_get\_long\_long} +\begin{alltt} +unsigned long long mp_get_long_long (mp_int * a); +\end{alltt} + +This will return the 64 least significant bits of the mp\_int $a$. + \subsection{Initialize and Setting Constants} To both initialize and set small constants the following two functions are available. \index{mp\_init\_set} \index{mp\_init\_set\_int} @@ -743,7 +779,7 @@ int mp_init_set (mp_int * a, mp_digit b); int mp_init_set_int (mp_int * a, unsigned long b); \end{alltt} -Both functions work like the previous counterparts except they first mp\_init $a$ before setting the values. +Both functions work like the previous counterparts except they first mp\_init $a$ before setting the values. \begin{alltt} int main(void) @@ -753,14 +789,14 @@ int main(void) /* initialize and set a single digit */ if ((result = mp_init_set(&number1, 100)) != MP_OKAY) \{ - printf("Error setting number1: \%s", + printf("Error setting number1: \%s", mp_error_to_string(result)); return EXIT_FAILURE; - \} + \} /* initialize and set a long */ if ((result = mp_init_set_int(&number2, 1023)) != MP_OKAY) \{ - printf("Error setting number2: \%s", + printf("Error setting number2: \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -801,14 +837,14 @@ for any comparison. \label{fig:CMP} \end{figure} -In figure \ref{fig:CMP} two integers $a$ and $b$ are being compared. In this case $a$ is said to be ``to the left'' of -$b$. +In figure \ref{fig:CMP} two integers $a$ and $b$ are being compared. In this case $a$ is said to be ``to the left'' of +$b$. \subsection{Unsigned comparison} -An unsigned comparison considers only the digits themselves and not the associated \textit{sign} flag of the +An unsigned comparison considers only the digits themselves and not the associated \textit{sign} flag of the mp\_int structures. This is analogous to an absolute comparison. The function mp\_cmp\_mag() will compare two -mp\_int variables based on their digits only. +mp\_int variables based on their digits only. \index{mp\_cmp\_mag} \begin{alltt} @@ -824,18 +860,18 @@ int main(void) int result; if ((result = mp_init_multi(&number1, &number2, NULL)) != MP_OKAY) \{ - printf("Error initializing the numbers. \%s", + printf("Error initializing the numbers. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* set the number1 to 5 */ mp_set(&number1, 5); - + /* set the number2 to -6 */ mp_set(&number2, 6); if ((result = mp_neg(&number2, &number2)) != MP_OKAY) \{ - printf("Error negating number2. \%s", + printf("Error negating number2. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -846,14 +882,14 @@ int main(void) case MP_LT: printf("|number1| < |number2|"); break; \} - /* we're done with it. */ + /* we're done with it. */ mp_clear_multi(&number1, &number2, NULL); return EXIT_SUCCESS; \} \end{alltt} \end{small} -If this program\footnote{This function uses the mp\_neg() function which is discussed in section \ref{sec:NEG}.} completes +If this program\footnote{This function uses the mp\_neg() function which is discussed in section \ref{sec:NEG}.} completes successfully it should print the following. \begin{alltt} @@ -882,18 +918,18 @@ int main(void) int result; if ((result = mp_init_multi(&number1, &number2, NULL)) != MP_OKAY) \{ - printf("Error initializing the numbers. \%s", + printf("Error initializing the numbers. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* set the number1 to 5 */ mp_set(&number1, 5); - + /* set the number2 to -6 */ mp_set(&number2, 6); if ((result = mp_neg(&number2, &number2)) != MP_OKAY) \{ - printf("Error negating number2. \%s", + printf("Error negating number2. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -904,14 +940,14 @@ int main(void) case MP_LT: printf("number1 < number2"); break; \} - /* we're done with it. */ + /* we're done with it. */ mp_clear_multi(&number1, &number2, NULL); return EXIT_SUCCESS; \} \end{alltt} \end{small} -If this program\footnote{This function uses the mp\_neg() function which is discussed in section \ref{sec:NEG}.} completes +If this program\footnote{This function uses the mp\_neg() function which is discussed in section \ref{sec:NEG}.} completes successfully it should print the following. \begin{alltt} @@ -927,7 +963,7 @@ To compare a single digit against an mp\_int the following function has been pro int mp_cmp_d(mp_int * a, mp_digit b); \end{alltt} -This will compare $a$ to the left of $b$ using a signed comparison. Note that it will always treat $b$ as +This will compare $a$ to the left of $b$ using a signed comparison. Note that it will always treat $b$ as positive. This function is rather handy when you have to compare against small values such as $1$ (which often comes up in cryptography). The function cannot fail and will return one of the tree compare condition codes listed in figure \ref{fig:CMP}. @@ -940,11 +976,11 @@ int main(void) int result; if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* set the number to 5 */ mp_set(&number, 5); @@ -954,7 +990,7 @@ int main(void) case MP_LT: printf("number < 7"); break; \} - /* we're done with it. */ + /* we're done with it. */ mp_clear(&number); return EXIT_SUCCESS; @@ -975,7 +1011,7 @@ AND, XOR and OR directly. These operations are very quick. \subsection{Multiplication by two} Multiplications and divisions by any power of two can be performed with quick logical shifts either left or -right depending on the operation. +right depending on the operation. When multiplying or dividing by two a special case routine can be used which are as follows. \index{mp\_mul\_2} \index{mp\_div\_2} @@ -994,17 +1030,17 @@ int main(void) int result; if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* set the number to 5 */ mp_set(&number, 5); /* multiply by two */ if ((result = mp\_mul\_2(&number, &number)) != MP_OKAY) \{ - printf("Error multiplying the number. \%s", + printf("Error multiplying the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -1016,7 +1052,7 @@ int main(void) /* now divide by two */ if ((result = mp\_div\_2(&number, &number)) != MP_OKAY) \{ - printf("Error dividing the number. \%s", + printf("Error dividing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -1026,7 +1062,7 @@ int main(void) case MP_LT: printf("2*number/2 < 7"); break; \} - /* we're done with it. */ + /* we're done with it. */ mp_clear(&number); return EXIT_SUCCESS; @@ -1040,15 +1076,18 @@ If this program is successful it will print out the following text. 2*number/2 < 7 \end{alltt} -Since $10 > 7$ and $5 < 7$. To multiply by a power of two the following function can be used. +Since $10 > 7$ and $5 < 7$. + +To multiply by a power of two the following function can be used. \index{mp\_mul\_2d} \begin{alltt} int mp_mul_2d(mp_int * a, int b, mp_int * c); \end{alltt} -This will multiply $a$ by $2^b$ and store the result in ``c''. If the value of $b$ is less than or equal to -zero the function will copy $a$ to ``c'' without performing any further actions. +This will multiply $a$ by $2^b$ and store the result in ``c''. If the value of $b$ is less than or equal to +zero the function will copy $a$ to ``c'' without performing any further actions. The multiplication itself +is implemented as a right-shift operation of $a$ by $b$ bits. To divide by a power of two use the following. @@ -1058,14 +1097,15 @@ int mp_div_2d (mp_int * a, int b, mp_int * c, mp_int * d); \end{alltt} Which will divide $a$ by $2^b$, store the quotient in ``c'' and the remainder in ``d'. If $b \le 0$ then the function simply copies $a$ over to ``c'' and zeroes $d$. The variable $d$ may be passed as a \textbf{NULL} -value to signal that the remainder is not desired. +value to signal that the remainder is not desired. The division itself is implemented as a left-shift +operation of $a$ by $b$ bits. \subsection{Polynomial Basis Operations} -Strictly speaking the organization of the integers within the mp\_int structures is what is known as a +Strictly speaking the organization of the integers within the mp\_int structures is what is known as a ``polynomial basis''. This simply means a field element is stored by divisions of a radix. For example, if -$f(x) = \sum_{i=0}^{k} y_ix^k$ for any vector $\vec y$ then the array of digits in $\vec y$ are said to be -the polynomial basis representation of $z$ if $f(\beta) = z$ for a given radix $\beta$. +$f(x) = \sum_{i=0}^{k} y_ix^k$ for any vector $\vec y$ then the array of digits in $\vec y$ are said to be +the polynomial basis representation of $z$ if $f(\beta) = z$ for a given radix $\beta$. To multiply by the polynomial $g(x) = x$ all you have todo is shift the digits of the basis left one place. The following function provides this operation. @@ -1097,7 +1137,7 @@ int mp_and (mp_int * a, mp_int * b, mp_int * c); int mp_xor (mp_int * a, mp_int * b, mp_int * c); \end{alltt} -Which compute $c = a \odot b$ where $\odot$ is one of OR, AND or XOR. +Which compute $c = a \odot b$ where $\odot$ is one of OR, AND or XOR. \section{Addition and Subtraction} @@ -1122,7 +1162,7 @@ Simple integer negation can be performed with the following. int mp_neg (mp_int * a, mp_int * b); \end{alltt} -Which assigns $-a$ to $b$. +Which assigns $-a$ to $b$. \subsection{Absolute} Simple integer absolutes can be performed with the following. @@ -1132,7 +1172,7 @@ Simple integer absolutes can be performed with the following. int mp_abs (mp_int * a, mp_int * b); \end{alltt} -Which assigns $\vert a \vert$ to $b$. +Which assigns $\vert a \vert$ to $b$. \section{Integer Division and Remainder} To perform a complete and general integer division with remainder use the following function. @@ -1141,10 +1181,10 @@ To perform a complete and general integer division with remainder use the follow \begin{alltt} int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d); \end{alltt} - -This divides $a$ by $b$ and stores the quotient in $c$ and $d$. The signed quotient is computed such that -$bc + d = a$. Note that either of $c$ or $d$ can be set to \textbf{NULL} if their value is not required. If -$b$ is zero the function returns \textbf{MP\_VAL}. + +This divides $a$ by $b$ and stores the quotient in $c$ and $d$. The signed quotient is computed such that +$bc + d = a$. Note that either of $c$ or $d$ can be set to \textbf{NULL} if their value is not required. If +$b$ is zero the function returns \textbf{MP\_VAL}. \chapter{Multiplication and Squaring} @@ -1154,7 +1194,7 @@ A full signed integer multiplication can be performed with the following. \begin{alltt} int mp_mul (mp_int * a, mp_int * b, mp_int * c); \end{alltt} -Which assigns the full signed product $ab$ to $c$. This function actually breaks into one of four cases which are +Which assigns the full signed product $ab$ to $c$. This function actually breaks into one of four cases which are specific multiplication routines optimized for given parameters. First there are the Toom-Cook multiplications which should only be used with very large inputs. This is followed by the Karatsuba multiplications which are for moderate sized inputs. Then followed by the Comba and baseline multipliers. @@ -1169,22 +1209,22 @@ int main(void) int result; /* Initialize the numbers */ - if ((result = mp_init_multi(&number1, + if ((result = mp_init_multi(&number1, &number2, NULL)) != MP_OKAY) \{ - printf("Error initializing the numbers. \%s", + printf("Error initializing the numbers. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* set the terms */ if ((result = mp_set_int(&number, 257)) != MP_OKAY) \{ - printf("Error setting number1. \%s", + printf("Error setting number1. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + if ((result = mp_set_int(&number2, 1023)) != MP_OKAY) \{ - printf("Error setting number2. \%s", + printf("Error setting number2. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -1192,7 +1232,7 @@ int main(void) /* multiply them */ if ((result = mp_mul(&number1, &number2, &number1)) != MP_OKAY) \{ - printf("Error multiplying terms. \%s", + printf("Error multiplying terms. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -1205,7 +1245,7 @@ int main(void) return EXIT_SUCCESS; \} -\end{alltt} +\end{alltt} If this program succeeds it shall output the following. @@ -1224,22 +1264,22 @@ int mp_sqr (mp_int * a, mp_int * b); Will square $a$ and store it in $b$. Like the case of multiplication there are four different squaring algorithms all which can be called from mp\_sqr(). It is ideal to use mp\_sqr over mp\_mul when squaring terms because -of the speed difference. +of the speed difference. \section{Tuning Polynomial Basis Routines} Both of the Toom-Cook and Karatsuba multiplication algorithms are faster than the traditional $O(n^2)$ approach that -the Comba and baseline algorithms use. At $O(n^{1.464973})$ and $O(n^{1.584962})$ running times respectively they require +the Comba and baseline algorithms use. At $O(n^{1.464973})$ and $O(n^{1.584962})$ running times respectively they require considerably less work. For example, a 10000-digit multiplication would take roughly 724,000 single precision multiplications with Toom-Cook or 100,000,000 single precision multiplications with the standard Comba (a factor of 138). So why not always use Karatsuba or Toom-Cook? The simple answer is that they have so much overhead that they're not -actually faster than Comba until you hit distinct ``cutoff'' points. For Karatsuba with the default configuration, -GCC 3.3.1 and an Athlon XP processor the cutoff point is roughly 110 digits (about 70 for the Intel P4). That is, at +actually faster than Comba until you hit distinct ``cutoff'' points. For Karatsuba with the default configuration, +GCC 3.3.1 and an Athlon XP processor the cutoff point is roughly 110 digits (about 70 for the Intel P4). That is, at 110 digits Karatsuba and Comba multiplications just about break even and for 110+ digits Karatsuba is faster. -Toom-Cook has incredible overhead and is probably only useful for very large inputs. So far no known cutoff points +Toom-Cook has incredible overhead and is probably only useful for very large inputs. So far no known cutoff points exist and for the most part I just set the cutoff points very high to make sure they're not called. A demo program in the ``etc/'' directory of the project called ``tune.c'' can be used to find the cutoff points. This @@ -1273,19 +1313,19 @@ tuning takes a very long time as the cutoff points are likely to be very high. \chapter{Modular Reduction} -Modular reduction is process of taking the remainder of one quantity divided by another. Expressed -as (\ref{eqn:mod}) the modular reduction is equivalent to the remainder of $b$ divided by $c$. +Modular reduction is process of taking the remainder of one quantity divided by another. Expressed +as (\ref{eqn:mod}) the modular reduction is equivalent to the remainder of $b$ divided by $c$. \begin{equation} a \equiv b \mbox{ (mod }c\mbox{)} \label{eqn:mod} \end{equation} -Of particular interest to cryptography are reductions where $b$ is limited to the range $0 \le b < c^2$ since particularly -fast reduction algorithms can be written for the limited range. +Of particular interest to cryptography are reductions where $b$ is limited to the range $0 \le b < c^2$ since particularly +fast reduction algorithms can be written for the limited range. Note that one of the four optimized reduction algorithms are automatically chosen in the modular exponentiation -algorithm mp\_exptmod when an appropriate modulus is detected. +algorithm mp\_exptmod when an appropriate modulus is detected. \section{Straight Division} In order to effect an arbitrary modular reduction the following algorithm is provided. @@ -1295,7 +1335,7 @@ In order to effect an arbitrary modular reduction the following algorithm is pro int mp_mod(mp_int *a, mp_int *b, mp_int *c); \end{alltt} -This reduces $a$ modulo $b$ and stores the result in $c$. The sign of $c$ shall agree with the sign +This reduces $a$ modulo $b$ and stores the result in $c$. The sign of $c$ shall agree with the sign of $b$. This algorithm accepts an input $a$ of any range and is not limited by $0 \le a < b^2$. \section{Barrett Reduction} @@ -1325,52 +1365,52 @@ int main(void) mp_int a, b, c, mu; int result; - /* initialize a,b to desired values, mp_init mu, - * c and set c to 1...we want to compute a^3 mod b + /* initialize a,b to desired values, mp_init mu, + * c and set c to 1...we want to compute a^3 mod b */ /* get mu value */ if ((result = mp_reduce_setup(&mu, b)) != MP_OKAY) \{ - printf("Error getting mu. \%s", + printf("Error getting mu. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* square a to get c = a^2 */ if ((result = mp_sqr(&a, &c)) != MP_OKAY) \{ - printf("Error squaring. \%s", + printf("Error squaring. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* now reduce `c' modulo b */ if ((result = mp_reduce(&c, &b, &mu)) != MP_OKAY) \{ - printf("Error reducing. \%s", + printf("Error reducing. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* multiply a to get c = a^3 */ if ((result = mp_mul(&a, &c, &c)) != MP_OKAY) \{ - printf("Error reducing. \%s", + printf("Error reducing. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* now reduce `c' modulo b */ if ((result = mp_reduce(&c, &b, &mu)) != MP_OKAY) \{ - printf("Error reducing. \%s", + printf("Error reducing. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* c now equals a^3 mod b */ return EXIT_SUCCESS; \} -\end{alltt} +\end{alltt} -This program will calculate $a^3 \mbox{ mod }b$ if all the functions succeed. +This program will calculate $a^3 \mbox{ mod }b$ if all the functions succeed. \section{Montgomery Reduction} @@ -1382,7 +1422,7 @@ step is required. This is accomplished with the following. int mp_montgomery_setup(mp_int *a, mp_digit *mp); \end{alltt} -For the given odd moduli $a$ the precomputation value is placed in $mp$. The reduction is computed with the +For the given odd moduli $a$ the precomputation value is placed in $mp$. The reduction is computed with the following. \index{mp\_montgomery\_reduce} @@ -1394,10 +1434,10 @@ $0 \le a < b^2$. Montgomery reduction is faster than Barrett reduction for moduli smaller than the ``comba'' limit. With the default setup for instance, the limit is $127$ digits ($3556$--bits). Note that this function is not limited to -$127$ digits just that it falls back to a baseline algorithm after that point. +$127$ digits just that it falls back to a baseline algorithm after that point. -An important observation is that this reduction does not return $a \mbox{ mod }m$ but $aR^{-1} \mbox{ mod }m$ -where $R = \beta^n$, $n$ is the n number of digits in $m$ and $\beta$ is radix used (default is $2^{28}$). +An important observation is that this reduction does not return $a \mbox{ mod }m$ but $aR^{-1} \mbox{ mod }m$ +where $R = \beta^n$, $n$ is the n number of digits in $m$ and $\beta$ is radix used (default is $2^{28}$). To quickly calculate $R$ the following function was provided. @@ -1405,7 +1445,7 @@ To quickly calculate $R$ the following function was provided. \begin{alltt} int mp_montgomery_calc_normalization(mp_int *a, mp_int *b); \end{alltt} -Which calculates $a = R$ for the odd moduli $b$ without using multiplication or division. +Which calculates $a = R$ for the odd moduli $b$ without using multiplication or division. The normal modus operandi for Montgomery reductions is to normalize the integers before entering the system. For example, to calculate $a^3 \mbox { mod }b$ using Montgomery reduction the value of $a$ can be normalized by @@ -1418,62 +1458,62 @@ int main(void) mp_digit mp; int result; - /* initialize a,b to desired values, - * mp_init R, c and set c to 1.... + /* initialize a,b to desired values, + * mp_init R, c and set c to 1.... */ /* get normalization */ if ((result = mp_montgomery_calc_normalization(&R, b)) != MP_OKAY) \{ - printf("Error getting norm. \%s", + printf("Error getting norm. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* get mp value */ if ((result = mp_montgomery_setup(&c, &mp)) != MP_OKAY) \{ - printf("Error setting up montgomery. \%s", + printf("Error setting up montgomery. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* normalize `a' so now a is equal to aR */ if ((result = mp_mulmod(&a, &R, &b, &a)) != MP_OKAY) \{ - printf("Error computing aR. \%s", + printf("Error computing aR. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* square a to get c = a^2R^2 */ if ((result = mp_sqr(&a, &c)) != MP_OKAY) \{ - printf("Error squaring. \%s", + printf("Error squaring. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* now reduce `c' back down to c = a^2R^2 * R^-1 == a^2R */ if ((result = mp_montgomery_reduce(&c, &b, mp)) != MP_OKAY) \{ - printf("Error reducing. \%s", + printf("Error reducing. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* multiply a to get c = a^3R^2 */ if ((result = mp_mul(&a, &c, &c)) != MP_OKAY) \{ - printf("Error reducing. \%s", + printf("Error reducing. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* now reduce `c' back down to c = a^3R^2 * R^-1 == a^3R */ if ((result = mp_montgomery_reduce(&c, &b, mp)) != MP_OKAY) \{ - printf("Error reducing. \%s", + printf("Error reducing. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* now reduce (again) `c' back down to c = a^3R * R^-1 == a^3 */ if ((result = mp_montgomery_reduce(&c, &b, mp)) != MP_OKAY) \{ - printf("Error reducing. \%s", + printf("Error reducing. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -1482,9 +1522,9 @@ int main(void) return EXIT_SUCCESS; \} -\end{alltt} +\end{alltt} -This particular example does not look too efficient but it demonstrates the point of the algorithm. By +This particular example does not look too efficient but it demonstrates the point of the algorithm. By normalizing the inputs the reduced results are always of the form $aR$ for some variable $a$. This allows a single final reduction to correct for the normalization and the fast reduction used within the algorithm. @@ -1494,7 +1534,7 @@ For more details consider examining the file \textit{bn\_mp\_exptmod\_fast.c}. ``Dimminished Radix'' reduction refers to reduction with respect to moduli that are ameniable to simple digit shifting and small multiplications. In this case the ``restricted'' variant refers to moduli of the -form $\beta^k - p$ for some $k \ge 0$ and $0 < p < \beta$ where $\beta$ is the radix (default to $2^{28}$). +form $\beta^k - p$ for some $k \ge 0$ and $0 < p < \beta$ where $\beta$ is the radix (default to $2^{28}$). As in the case of Montgomery reduction there is a pre--computation phase required for a given modulus. @@ -1513,45 +1553,62 @@ int mp_dr_reduce(mp_int *a, mp_int *b, mp_digit mp); \end{alltt} This reduces $a$ in place modulo $b$ with the pre--computed value $mp$. $b$ must be of a restricted -dimminished radix form and $a$ must be in the range $0 \le a < b^2$. Dimminished radix reductions are -much faster than both Barrett and Montgomery reductions as they have a much lower asymtotic running time. +dimminished radix form and $a$ must be in the range $0 \le a < b^2$. Dimminished radix reductions are +much faster than both Barrett and Montgomery reductions as they have a much lower asymtotic running time. Since the moduli are restricted this algorithm is not particularly useful for something like Rabin, RSA or BBS cryptographic purposes. This reduction algorithm is useful for Diffie-Hellman and ECC where fixed -primes are acceptable. +primes are acceptable. Note that unlike Montgomery reduction there is no normalization process. The result of this function is equal to the correct residue. \section{Unrestricted Dimminshed Radix} -Unrestricted reductions work much like the restricted counterparts except in this case the moduli is of the -form $2^k - p$ for $0 < p < \beta$. In this sense the unrestricted reductions are more flexible as they -can be applied to a wider range of numbers. +Unrestricted reductions work much like the restricted counterparts except in this case the moduli is of the +form $2^k - p$ for $0 < p < \beta$. In this sense the unrestricted reductions are more flexible as they +can be applied to a wider range of numbers. \index{mp\_reduce\_2k\_setup} \begin{alltt} int mp_reduce_2k_setup(mp_int *a, mp_digit *d); \end{alltt} -This will compute the required $d$ value for the given moduli $a$. +This will compute the required $d$ value for the given moduli $a$. \index{mp\_reduce\_2k} \begin{alltt} int mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d); \end{alltt} -This will reduce $a$ in place modulo $n$ with the pre--computed value $d$. From my experience this routine is -slower than mp\_dr\_reduce but faster for most moduli sizes than the Montgomery reduction. +This will reduce $a$ in place modulo $n$ with the pre--computed value $d$. From my experience this routine is +slower than mp\_dr\_reduce but faster for most moduli sizes than the Montgomery reduction. \chapter{Exponentiation} \section{Single Digit Exponentiation} +\index{mp\_expt\_d\_ex} +\begin{alltt} +int mp_expt_d_ex (mp_int * a, mp_digit b, mp_int * c, int fast) +\end{alltt} +This function computes $c = a^b$. + +With parameter \textit{fast} set to $0$ the old version of the algorithm is used, +when \textit{fast} is $1$, a faster but not statically timed version of the algorithm is used. + +The old version uses a simple binary left-to-right algorithm. +It is faster than repeated multiplications by $a$ for all values of $b$ greater than three. + +The new version uses a binary right-to-left algorithm. + +The difference between the old and the new version is that the old version always +executes $DIGIT\_BIT$ iterations. The new algorithm executes only $n$ iterations +where $n$ is equal to the position of the highest bit that is set in $b$. + \index{mp\_expt\_d} \begin{alltt} int mp_expt_d (mp_int * a, mp_digit b, mp_int * c) \end{alltt} -This computes $c = a^b$ using a simple binary left-to-right algorithm. It is faster than repeated multiplications by -$a$ for all values of $b$ greater than three. +mp\_expt\_d(a, b, c) is a wrapper function to mp\_expt\_d\_ex(a, b, c, 0). \section{Modular Exponentiation} \index{mp\_exptmod} @@ -1559,8 +1616,8 @@ $a$ for all values of $b$ greater than three. int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) \end{alltt} This computes $Y \equiv G^X \mbox{ (mod }P\mbox{)}$ using a variable width sliding window algorithm. This function -will automatically detect the fastest modular reduction technique to use during the operation. For negative values of -$X$ the operation is performed as $Y \equiv (G^{-1} \mbox{ mod }P)^{\vert X \vert} \mbox{ (mod }P\mbox{)}$ provided that +will automatically detect the fastest modular reduction technique to use during the operation. For negative values of +$X$ the operation is performed as $Y \equiv (G^{-1} \mbox{ mod }P)^{\vert X \vert} \mbox{ (mod }P\mbox{)}$ provided that $gcd(G, P) = 1$. This function is actually a shell around the two internal exponentiation functions. This routine will automatically @@ -1573,16 +1630,16 @@ and the other two algorithms. \begin{alltt} int mp_n_root (mp_int * a, mp_digit b, mp_int * c) \end{alltt} -This computes $c = a^{1/b}$ such that $c^b \le a$ and $(c+1)^b > a$. The implementation of this function is not +This computes $c = a^{1/b}$ such that $c^b \le a$ and $(c+1)^b > a$. The implementation of this function is not ideal for values of $b$ greater than three. It will work but become very slow. So unless you are working with very small numbers (less than 1000 bits) I'd avoid $b > 3$ situations. Will return a positive root only for even roots and return -a root with the sign of the input for odd roots. For example, performing $4^{1/2}$ will return $2$ whereas $(-8)^{1/3}$ -will return $-2$. +a root with the sign of the input for odd roots. For example, performing $4^{1/2}$ will return $2$ whereas $(-8)^{1/3}$ +will return $-2$. This algorithm uses the ``Newton Approximation'' method and will converge on the correct root fairly quickly. Since the algorithm requires raising $a$ to the power of $b$ it is not ideal to attempt to find roots for large values of $b$. If particularly large roots are required then a factor method could be used instead. For example, -$a^{1/16}$ is equivalent to $\left (a^{1/4} \right)^{1/4}$ or simply +$a^{1/16}$ is equivalent to $\left (a^{1/4} \right)^{1/4}$ or simply $\left ( \left ( \left ( a^{1/2} \right )^{1/2} \right )^{1/2} \right )^{1/2}$ \chapter{Prime Numbers} @@ -1591,8 +1648,8 @@ $\left ( \left ( \left ( a^{1/2} \right )^{1/2} \right )^{1/2} \right )^{1/2}$ \begin{alltt} int mp_prime_is_divisible (mp_int * a, int *result) \end{alltt} -This will attempt to evenly divide $a$ by a list of primes\footnote{Default is the first 256 primes.} and store the -outcome in ``result''. That is if $result = 0$ then $a$ is not divisible by the primes, otherwise it is. Note that +This will attempt to evenly divide $a$ by a list of primes\footnote{Default is the first 256 primes.} and store the +outcome in ``result''. That is if $result = 0$ then $a$ is not divisible by the primes, otherwise it is. Note that if the function does not return \textbf{MP\_OKAY} the value in ``result'' should be considered undefined\footnote{Currently the default is to set it to zero first.}. @@ -1611,10 +1668,10 @@ is set to zero. int mp_prime_miller_rabin (mp_int * a, mp_int * b, int *result) \end{alltt} Performs a Miller-Rabin test to the base $b$ of $a$. This test is much stronger than the Fermat test and is very hard to -fool (besides with Carmichael numbers). If $a$ passes the test (therefore is probably prime) $result$ is set to one. -Otherwise $result$ is set to zero. +fool (besides with Carmichael numbers). If $a$ passes the test (therefore is probably prime) $result$ is set to one. +Otherwise $result$ is set to zero. -Note that is suggested that you use the Miller-Rabin test instead of the Fermat test since all of the failures of +Note that is suggested that you use the Miller-Rabin test instead of the Fermat test since all of the failures of Miller-Rabin are a subset of the failures of the Fermat test. \subsection{Required Number of Tests} @@ -1628,7 +1685,7 @@ int mp_prime_rabin_miller_trials(int size) \end{alltt} This returns the number of trials required for a $2^{-96}$ (or lower) probability of failure for a given ``size'' expressed in bits. This comes in handy specially since larger numbers are slower to test. For example, a 512-bit number would -require ten tests whereas a 1024-bit number would only require four tests. +require ten tests whereas a 1024-bit number would only require four tests. You should always still perform a trial division before a Miller-Rabin test though. @@ -1637,8 +1694,8 @@ You should always still perform a trial division before a Miller-Rabin test thou \begin{alltt} int mp_prime_is_prime (mp_int * a, int t, int *result) \end{alltt} -This will perform a trial division followed by $t$ rounds of Miller-Rabin tests on $a$ and store the result in $result$. -If $a$ passes all of the tests $result$ is set to one, otherwise it is set to zero. Note that $t$ is bounded by +This will perform a trial division followed by $t$ rounds of Miller-Rabin tests on $a$ and store the result in $result$. +If $a$ passes all of the tests $result$ is set to one, otherwise it is set to zero. Note that $t$ is bounded by $1 \le t < PRIME\_SIZE$ where $PRIME\_SIZE$ is the number of primes in the prime number table (by default this is $256$). \section{Next Prime} @@ -1646,25 +1703,25 @@ $1 \le t < PRIME\_SIZE$ where $PRIME\_SIZE$ is the number of primes in the prime \begin{alltt} int mp_prime_next_prime(mp_int *a, int t, int bbs_style) \end{alltt} -This finds the next prime after $a$ that passes mp\_prime\_is\_prime() with $t$ tests. Set $bbs\_style$ to one if you -want only the next prime congruent to $3 \mbox{ mod } 4$, otherwise set it to zero to find any next prime. +This finds the next prime after $a$ that passes mp\_prime\_is\_prime() with $t$ tests. Set $bbs\_style$ to one if you +want only the next prime congruent to $3 \mbox{ mod } 4$, otherwise set it to zero to find any next prime. \section{Random Primes} \index{mp\_prime\_random} \begin{alltt} -int mp_prime_random(mp_int *a, int t, int size, int bbs, +int mp_prime_random(mp_int *a, int t, int size, int bbs, ltm_prime_callback cb, void *dat) \end{alltt} This will find a prime greater than $256^{size}$ which can be ``bbs\_style'' or not depending on $bbs$ and must pass -$t$ rounds of tests. The ``ltm\_prime\_callback'' is a typedef for +$t$ rounds of tests. The ``ltm\_prime\_callback'' is a typedef for \begin{alltt} typedef int ltm_prime_callback(unsigned char *dst, int len, void *dat); \end{alltt} Which is a function that must read $len$ bytes (and return the amount stored) into $dst$. The $dat$ variable is simply -copied from the original input. It can be used to pass RNG context data to the callback. The function -mp\_prime\_random() is more suitable for generating primes which must be secret (as in the case of RSA) since there +copied from the original input. It can be used to pass RNG context data to the callback. The function +mp\_prime\_random() is more suitable for generating primes which must be secret (as in the case of RSA) since there is no skew on the least significant bits. \textit{Note:} As of v0.30 of the LibTomMath library this function has been deprecated. It is still available @@ -1673,13 +1730,13 @@ but users are encouraged to use the new mp\_prime\_random\_ex() function instead \subsection{Extended Generation} \index{mp\_prime\_random\_ex} \begin{alltt} -int mp_prime_random_ex(mp_int *a, int t, - int size, int flags, +int mp_prime_random_ex(mp_int *a, int t, + int size, int flags, ltm_prime_callback cb, void *dat); \end{alltt} This will generate a prime in $a$ using $t$ tests of the primality testing algorithms. The variable $size$ specifies the bit length of the prime desired. The variable $flags$ specifies one of several options available -(see fig. \ref{fig:primeopts}) which can be OR'ed together. The callback parameters are used as in +(see fig. \ref{fig:primeopts}) which can be OR'ed together. The callback parameters are used as in mp\_prime\_random(). \begin{figure}[here] @@ -1717,8 +1774,8 @@ by the conversion before storing any data use the following function. \begin{alltt} int mp_radix_size (mp_int * a, int radix, int *size) \end{alltt} -This stores in ``size'' the number of characters (including space for the NUL terminator) required. Upon error this -function returns an error code and ``size'' will be zero. +This stores in ``size'' the number of characters (including space for the NUL terminator) required. Upon error this +function returns an error code and ``size'' will be zero. \subsection{From ASCII} \index{mp\_read\_radix} @@ -1764,13 +1821,13 @@ int mp_to_signed_bin(mp_int *a, unsigned char *b); \end{alltt} They operate essentially the same as the unsigned copies except they prefix the data with zero or non--zero byte depending on the sign. If the sign is zpos (e.g. not negative) the prefix is zero, otherwise the prefix -is non--zero. +is non--zero. \chapter{Algebraic Functions} \section{Extended Euclidean Algorithm} \index{mp\_exteuclid} \begin{alltt} -int mp_exteuclid(mp_int *a, mp_int *b, +int mp_exteuclid(mp_int *a, mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3); \end{alltt} @@ -1780,7 +1837,7 @@ This finds the triple U1/U2/U3 using the Extended Euclidean algorithm such that a \cdot U1 + b \cdot U2 = U3 \end{equation} -Any of the U1/U2/U3 paramters can be set to \textbf{NULL} if they are not desired. +Any of the U1/U2/U3 paramters can be set to \textbf{NULL} if they are not desired. \section{Greatest Common Divisor} \index{mp\_gcd} @@ -1804,7 +1861,28 @@ int mp_jacobi (mp_int * a, mp_int * p, int *c) This will compute the Jacobi symbol for $a$ with respect to $p$. If $p$ is prime this essentially computes the Legendre symbol. The result is stored in $c$ and can take on one of three values $\lbrace -1, 0, 1 \rbrace$. If $p$ is prime then the result will be $-1$ when $a$ is not a quadratic residue modulo $p$. The result will be $0$ if $a$ divides $p$ -and the result will be $1$ if $a$ is a quadratic residue modulo $p$. +and the result will be $1$ if $a$ is a quadratic residue modulo $p$. + +\section{Modular square root} +\index{mp\_sqrtmod\_prime} +\begin{alltt} +int mp_sqrtmod_prime(mp_int *n, mp_int *p, mp_int *r) +\end{alltt} + +This will solve the modular equatioon $r^2 = n \mod p$ where $p$ is a prime number greater than 2 (odd prime). +The result is returned in the third argument $r$, the function returns \textbf{MP\_OKAY} on success, +other return values indicate failure. + +The implementation is split for two different cases: + +1. if $p \mod 4 == 3$ we apply \href{http://cacr.uwaterloo.ca/hac/}{Handbook of Applied Cryptography algorithm 3.36} and compute $r$ directly as +$r = n^{(p+1)/4} \mod p$ + +2. otherwise we use \href{https://en.wikipedia.org/wiki/Tonelli-Shanks_algorithm}{Tonelli-Shanks algorithm} + +The function does not check the primality of parameter $p$ thus it is up to the caller to assure that this parameter +is a prime number. When $p$ is a composite the function behaviour is undefined, it may even return a false-positive +\textbf{MP\_OKAY}. \section{Modular Inverse} \index{mp\_invmod} diff --git a/libtommath/bn_error.c b/libtommath/bn_error.c index 6393bb0..3abf1a7 100644 --- a/libtommath/bn_error.c +++ b/libtommath/bn_error.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_ERROR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,12 +12,12 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ static const struct { int code; - char *msg; + const char *msg; } msgs[] = { { MP_OKAY, "Successful" }, { MP_MEM, "Out of heap" }, @@ -25,7 +25,7 @@ static const struct { }; /* return a char * string for a given code */ -char *mp_error_to_string(int code) +const char *mp_error_to_string(int code) { int x; @@ -41,3 +41,7 @@ char *mp_error_to_string(int code) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_fast_mp_invmod.c b/libtommath/bn_fast_mp_invmod.c index fafd9dc..aa41098 100644 --- a/libtommath/bn_fast_mp_invmod.c +++ b/libtommath/bn_fast_mp_invmod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_FAST_MP_INVMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* computes the modular inverse via binary extended euclidean algorithm, @@ -27,7 +27,7 @@ int fast_mp_invmod (mp_int * a, mp_int * b, mp_int * c) int res, neg; /* 2. [modified] b must be odd */ - if (mp_iseven (b) == 1) { + if (mp_iseven (b) == MP_YES) { return MP_VAL; } @@ -57,13 +57,13 @@ int fast_mp_invmod (mp_int * a, mp_int * b, mp_int * c) top: /* 4. while u is even do */ - while (mp_iseven (&u) == 1) { + while (mp_iseven (&u) == MP_YES) { /* 4.1 u = u/2 */ if ((res = mp_div_2 (&u, &u)) != MP_OKAY) { goto LBL_ERR; } /* 4.2 if B is odd then */ - if (mp_isodd (&B) == 1) { + if (mp_isodd (&B) == MP_YES) { if ((res = mp_sub (&B, &x, &B)) != MP_OKAY) { goto LBL_ERR; } @@ -75,13 +75,13 @@ top: } /* 5. while v is even do */ - while (mp_iseven (&v) == 1) { + while (mp_iseven (&v) == MP_YES) { /* 5.1 v = v/2 */ if ((res = mp_div_2 (&v, &v)) != MP_OKAY) { goto LBL_ERR; } /* 5.2 if D is odd then */ - if (mp_isodd (&D) == 1) { + if (mp_isodd (&D) == MP_YES) { /* D = (D-x)/2 */ if ((res = mp_sub (&D, &x, &D)) != MP_OKAY) { goto LBL_ERR; @@ -115,7 +115,7 @@ top: } /* if not zero goto step 4 */ - if (mp_iszero (&u) == 0) { + if (mp_iszero (&u) == MP_NO) { goto top; } @@ -142,3 +142,7 @@ LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &B, &D, NULL); return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_fast_mp_montgomery_reduce.c b/libtommath/bn_fast_mp_montgomery_reduce.c index e941dc2..a63839d 100644 --- a/libtommath/bn_fast_mp_montgomery_reduce.c +++ b/libtommath/bn_fast_mp_montgomery_reduce.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_FAST_MP_MONTGOMERY_REDUCE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* computes xR**-1 == x (mod N) via Montgomery Reduction @@ -32,7 +32,7 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) olduse = x->used; /* grow a as required */ - if (x->alloc < n->used + 1) { + if (x->alloc < (n->used + 1)) { if ((res = mp_grow (x, n->used + 1)) != MP_OKAY) { return res; } @@ -42,8 +42,8 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) * an array of double precision words W[...] */ { - register mp_word *_W; - register mp_digit *tmpx; + mp_word *_W; + mp_digit *tmpx; /* alias for the W[] array */ _W = W; @@ -57,7 +57,7 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) } /* zero the high words of W[a->used..m->used*2] */ - for (; ix < n->used * 2 + 1; ix++) { + for (; ix < ((n->used * 2) + 1); ix++) { *_W++ = 0; } } @@ -72,7 +72,7 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) * by casting the value down to a mp_digit. Note this requires * that W[ix-1] have the carry cleared (see after the inner loop) */ - register mp_digit mu; + mp_digit mu; mu = (mp_digit) (((W[ix] & MP_MASK) * rho) & MP_MASK); /* a = a + mu * m * b**i @@ -90,9 +90,9 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) * first m->used words of W[] have the carries fixed */ { - register int iy; - register mp_digit *tmpn; - register mp_word *_W; + int iy; + mp_digit *tmpn; + mp_word *_W; /* alias for the digits of the modulus */ tmpn = n->dp; @@ -115,8 +115,8 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) * significant digits we zeroed]. */ { - register mp_digit *tmpx; - register mp_word *_W, *_W1; + mp_digit *tmpx; + mp_word *_W, *_W1; /* nox fix rest of carries */ @@ -126,7 +126,7 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) /* alias for next word, where the carry goes */ _W = W + ++ix; - for (; ix <= n->used * 2 + 1; ix++) { + for (; ix <= ((n->used * 2) + 1); ix++) { *_W++ += *_W1++ >> ((mp_word) DIGIT_BIT); } @@ -143,7 +143,7 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) /* alias for shifted double precision result */ _W = W + n->used; - for (ix = 0; ix < n->used + 1; ix++) { + for (ix = 0; ix < (n->used + 1); ix++) { *tmpx++ = (mp_digit)(*_W++ & ((mp_word) MP_MASK)); } @@ -166,3 +166,7 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_fast_s_mp_mul_digs.c b/libtommath/bn_fast_s_mp_mul_digs.c index ab157b9..acd13b4 100644 --- a/libtommath/bn_fast_s_mp_mul_digs.c +++ b/libtommath/bn_fast_s_mp_mul_digs.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_FAST_S_MP_MUL_DIGS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* Fast (comba) multiplier @@ -35,7 +35,7 @@ int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) { int olduse, res, pa, ix, iz; mp_digit W[MP_WARRAY]; - register mp_word _W; + mp_word _W; /* grow the destination as required */ if (c->alloc < digs) { @@ -78,16 +78,16 @@ int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) /* make next carry */ _W = _W >> ((mp_word)DIGIT_BIT); - } + } /* setup dest */ olduse = c->used; c->used = pa; { - register mp_digit *tmpc; + mp_digit *tmpc; tmpc = c->dp; - for (ix = 0; ix < pa+1; ix++) { + for (ix = 0; ix < (pa + 1); ix++) { /* now extract the previous digit [below the carry] */ *tmpc++ = W[ix]; } @@ -101,3 +101,7 @@ int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_fast_s_mp_mul_high_digs.c b/libtommath/bn_fast_s_mp_mul_high_digs.c index ec9f58a..b96cf60 100644 --- a/libtommath/bn_fast_s_mp_mul_high_digs.c +++ b/libtommath/bn_fast_s_mp_mul_high_digs.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_FAST_S_MP_MUL_HIGH_DIGS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* this is a modified version of fast_s_mul_digs that only produces @@ -75,7 +75,7 @@ int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) c->used = pa; { - register mp_digit *tmpc; + mp_digit *tmpc; tmpc = c->dp + digs; for (ix = digs; ix < pa; ix++) { @@ -92,3 +92,7 @@ int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_fast_s_mp_sqr.c b/libtommath/bn_fast_s_mp_sqr.c index 1abf24b..775c76f 100644 --- a/libtommath/bn_fast_s_mp_sqr.c +++ b/libtommath/bn_fast_s_mp_sqr.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_FAST_S_MP_SQR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* the jist of squaring... @@ -66,7 +66,7 @@ int fast_s_mp_sqr (mp_int * a, mp_int * b) * we halve the distance since they approach at a rate of 2x * and we have to round because odd cases need to be executed */ - iy = MIN(iy, (ty-tx+1)>>1); + iy = MIN(iy, ((ty-tx)+1)>>1); /* execute loop */ for (iz = 0; iz < iy; iz++) { @@ -108,3 +108,7 @@ int fast_s_mp_sqr (mp_int * a, mp_int * b) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_2expt.c b/libtommath/bn_mp_2expt.c index a32572d..2845814 100644 --- a/libtommath/bn_mp_2expt.c +++ b/libtommath/bn_mp_2expt.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_2EXPT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* computes a = 2**b @@ -29,12 +29,12 @@ mp_2expt (mp_int * a, int b) mp_zero (a); /* grow a to accomodate the single bit */ - if ((res = mp_grow (a, b / DIGIT_BIT + 1)) != MP_OKAY) { + if ((res = mp_grow (a, (b / DIGIT_BIT) + 1)) != MP_OKAY) { return res; } /* set the used count of where the bit will go */ - a->used = b / DIGIT_BIT + 1; + a->used = (b / DIGIT_BIT) + 1; /* put the single bit in its place */ a->dp[b / DIGIT_BIT] = ((mp_digit)1) << (b % DIGIT_BIT); @@ -42,3 +42,7 @@ mp_2expt (mp_int * a, int b) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_abs.c b/libtommath/bn_mp_abs.c index dc51884..cc9c3db 100644 --- a/libtommath/bn_mp_abs.c +++ b/libtommath/bn_mp_abs.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_ABS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* b = |a| @@ -37,3 +37,7 @@ mp_abs (mp_int * a, mp_int * b) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_add.c b/libtommath/bn_mp_add.c index d9b8fa5..236fc75 100644 --- a/libtommath/bn_mp_add.c +++ b/libtommath/bn_mp_add.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_ADD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* high level addition (handles signs) */ @@ -47,3 +47,7 @@ int mp_add (mp_int * a, mp_int * b, mp_int * c) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_add_d.c b/libtommath/bn_mp_add_d.c index 5281ad4..26a165b 100644 --- a/libtommath/bn_mp_add_d.c +++ b/libtommath/bn_mp_add_d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_ADD_D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* single digit addition */ @@ -23,14 +23,14 @@ mp_add_d (mp_int * a, mp_digit b, mp_int * c) mp_digit *tmpa, *tmpc, mu; /* grow c as required */ - if (c->alloc < a->used + 1) { + if (c->alloc < (a->used + 1)) { if ((res = mp_grow(c, a->used + 1)) != MP_OKAY) { return res; } } /* if a is negative and |a| >= b, call c = |a| - b */ - if (a->sign == MP_NEG && (a->used > 1 || a->dp[0] >= b)) { + if ((a->sign == MP_NEG) && ((a->used > 1) || (a->dp[0] >= b))) { /* temporarily fix sign of a */ a->sign = MP_ZPOS; @@ -107,3 +107,7 @@ mp_add_d (mp_int * a, mp_digit b, mp_int * c) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_addmod.c b/libtommath/bn_mp_addmod.c index bff193f..825c928 100644 --- a/libtommath/bn_mp_addmod.c +++ b/libtommath/bn_mp_addmod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_ADDMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* d = a + b (mod c) */ @@ -35,3 +35,7 @@ mp_addmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_and.c b/libtommath/bn_mp_and.c index 02bef18..3b6b03e 100644 --- a/libtommath/bn_mp_and.c +++ b/libtommath/bn_mp_and.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_AND_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* AND two ints together */ @@ -51,3 +51,7 @@ mp_and (mp_int * a, mp_int * b, mp_int * c) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_clamp.c b/libtommath/bn_mp_clamp.c index 74887bb..d4fb70d 100644 --- a/libtommath/bn_mp_clamp.c +++ b/libtommath/bn_mp_clamp.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_CLAMP_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* trim unused digits @@ -28,7 +28,7 @@ mp_clamp (mp_int * a) /* decrease used while the most significant digit is * zero. */ - while (a->used > 0 && a->dp[a->used - 1] == 0) { + while ((a->used > 0) && (a->dp[a->used - 1] == 0)) { --(a->used); } @@ -38,3 +38,7 @@ mp_clamp (mp_int * a) } } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_clear.c b/libtommath/bn_mp_clear.c index bd07e76..17ef9d5 100644 --- a/libtommath/bn_mp_clear.c +++ b/libtommath/bn_mp_clear.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_CLEAR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* clear one (frees) */ @@ -38,3 +38,7 @@ mp_clear (mp_int * a) } } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_clear_multi.c b/libtommath/bn_mp_clear_multi.c index c3ad7a8..441a200 100644 --- a/libtommath/bn_mp_clear_multi.c +++ b/libtommath/bn_mp_clear_multi.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_CLEAR_MULTI_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ #include @@ -28,3 +28,7 @@ void mp_clear_multi(mp_int *mp, ...) va_end(args); } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_cmp.c b/libtommath/bn_mp_cmp.c index 943249d..15179ca 100644 --- a/libtommath/bn_mp_cmp.c +++ b/libtommath/bn_mp_cmp.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_CMP_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* compare two ints (signed)*/ @@ -37,3 +37,7 @@ mp_cmp (const mp_int * a, const mp_int * b) } } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_cmp_d.c b/libtommath/bn_mp_cmp_d.c index ecec091..0c9fc86 100644 --- a/libtommath/bn_mp_cmp_d.c +++ b/libtommath/bn_mp_cmp_d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_CMP_D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* compare a digit */ @@ -38,3 +38,7 @@ int mp_cmp_d(const mp_int * a, mp_digit b) } } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_cmp_mag.c b/libtommath/bn_mp_cmp_mag.c index b23a191..a537608 100644 --- a/libtommath/bn_mp_cmp_mag.c +++ b/libtommath/bn_mp_cmp_mag.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_CMP_MAG_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* compare maginitude of two ints (unsigned) */ @@ -49,3 +49,7 @@ int mp_cmp_mag (const mp_int * a, const mp_int * b) return MP_EQ; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_cnt_lsb.c b/libtommath/bn_mp_cnt_lsb.c index f205e8c..b638dc4 100644 --- a/libtommath/bn_mp_cnt_lsb.c +++ b/libtommath/bn_mp_cnt_lsb.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_CNT_LSB_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ static const int lnz[16] = { @@ -26,12 +26,12 @@ int mp_cnt_lsb(const mp_int *a) mp_digit q, qq; /* easy out */ - if (mp_iszero(a) == 1) { + if (mp_iszero(a) == MP_YES) { return 0; } /* scan lower digits until non-zero */ - for (x = 0; x < a->used && a->dp[x] == 0; x++); + for (x = 0; (x < a->used) && (a->dp[x] == 0); x++) {} q = a->dp[x]; x *= DIGIT_BIT; @@ -47,3 +47,7 @@ int mp_cnt_lsb(const mp_int *a) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_copy.c b/libtommath/bn_mp_copy.c index ffbc0d4..c15f961 100644 --- a/libtommath/bn_mp_copy.c +++ b/libtommath/bn_mp_copy.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_COPY_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* copy, b = a */ @@ -35,7 +35,7 @@ mp_copy (const mp_int * a, mp_int * b) /* zero b and copy the parameters over */ { - register mp_digit *tmpa, *tmpb; + mp_digit *tmpa, *tmpb; /* pointer aliases */ @@ -62,3 +62,7 @@ mp_copy (const mp_int * a, mp_int * b) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_count_bits.c b/libtommath/bn_mp_count_bits.c index 00d364e..47aa569 100644 --- a/libtommath/bn_mp_count_bits.c +++ b/libtommath/bn_mp_count_bits.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_COUNT_BITS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* returns the number of bits in an int */ @@ -39,3 +39,7 @@ mp_count_bits (const mp_int * a) return r; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_div.c b/libtommath/bn_mp_div.c index de4ca04..3ca5d7f 100644 --- a/libtommath/bn_mp_div.c +++ b/libtommath/bn_mp_div.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_DIV_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ #ifdef BN_MP_DIV_SMALL @@ -24,7 +24,7 @@ int mp_div(mp_int * a, mp_int * b, mp_int * c, mp_int * d) int res, n, n2; /* is divisor zero ? */ - if (mp_iszero (b) == 1) { + if (mp_iszero (b) == MP_YES) { return MP_VAL; } @@ -40,9 +40,9 @@ int mp_div(mp_int * a, mp_int * b, mp_int * c, mp_int * d) } return res; } - + /* init our temps */ - if ((res = mp_init_multi(&ta, &tb, &tq, &q, NULL) != MP_OKAY)) { + if ((res = mp_init_multi(&ta, &tb, &tq, &q, NULL)) != MP_OKAY) { return res; } @@ -50,7 +50,7 @@ int mp_div(mp_int * a, mp_int * b, mp_int * c, mp_int * d) mp_set(&tq, 1); n = mp_count_bits(a) - mp_count_bits(b); if (((res = mp_abs(a, &ta)) != MP_OKAY) || - ((res = mp_abs(b, &tb)) != MP_OKAY) || + ((res = mp_abs(b, &tb)) != MP_OKAY) || ((res = mp_mul_2d(&tb, n, &tb)) != MP_OKAY) || ((res = mp_mul_2d(&tq, n, &tq)) != MP_OKAY)) { goto LBL_ERR; @@ -71,7 +71,7 @@ int mp_div(mp_int * a, mp_int * b, mp_int * c, mp_int * d) /* now q == quotient and ta == remainder */ n = a->sign; - n2 = (a->sign == b->sign ? MP_ZPOS : MP_NEG); + n2 = (a->sign == b->sign) ? MP_ZPOS : MP_NEG; if (c != NULL) { mp_exch(c, &q); c->sign = (mp_iszero(c) == MP_YES) ? MP_ZPOS : n2; @@ -87,17 +87,17 @@ LBL_ERR: #else -/* integer signed division. +/* integer signed division. * c*b + d == a [e.g. a/b, c=quotient, d=remainder] * HAC pp.598 Algorithm 14.20 * - * Note that the description in HAC is horribly - * incomplete. For example, it doesn't consider - * the case where digits are removed from 'x' in - * the inner loop. It also doesn't consider the + * Note that the description in HAC is horribly + * incomplete. For example, it doesn't consider + * the case where digits are removed from 'x' in + * the inner loop. It also doesn't consider the * case that y has fewer than three digits, etc.. * - * The overall algorithm is as described as + * The overall algorithm is as described as * 14.20 from HAC but fixed to treat these cases. */ int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) @@ -106,7 +106,7 @@ int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) int res, n, t, i, norm, neg; /* is divisor zero ? */ - if (mp_iszero (b) == 1) { + if (mp_iszero (b) == MP_YES) { return MP_VAL; } @@ -187,51 +187,52 @@ int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) continue; } - /* step 3.1 if xi == yt then set q{i-t-1} to b-1, + /* step 3.1 if xi == yt then set q{i-t-1} to b-1, * otherwise set q{i-t-1} to (xi*b + x{i-1})/yt */ if (x.dp[i] == y.dp[t]) { - q.dp[i - t - 1] = ((((mp_digit)1) << DIGIT_BIT) - 1); + q.dp[(i - t) - 1] = ((((mp_digit)1) << DIGIT_BIT) - 1); } else { mp_word tmp; tmp = ((mp_word) x.dp[i]) << ((mp_word) DIGIT_BIT); tmp |= ((mp_word) x.dp[i - 1]); tmp /= ((mp_word) y.dp[t]); - if (tmp > (mp_word) MP_MASK) + if (tmp > (mp_word) MP_MASK) { tmp = MP_MASK; - q.dp[i - t - 1] = (mp_digit) (tmp & (mp_word) (MP_MASK)); + } + q.dp[(i - t) - 1] = (mp_digit) (tmp & (mp_word) (MP_MASK)); } - /* while (q{i-t-1} * (yt * b + y{t-1})) > - xi * b**2 + xi-1 * b + xi-2 - - do q{i-t-1} -= 1; + /* while (q{i-t-1} * (yt * b + y{t-1})) > + xi * b**2 + xi-1 * b + xi-2 + + do q{i-t-1} -= 1; */ - q.dp[i - t - 1] = (q.dp[i - t - 1] + 1) & MP_MASK; + q.dp[(i - t) - 1] = (q.dp[(i - t) - 1] + 1) & MP_MASK; do { - q.dp[i - t - 1] = (q.dp[i - t - 1] - 1) & MP_MASK; + q.dp[(i - t) - 1] = (q.dp[(i - t) - 1] - 1) & MP_MASK; /* find left hand */ mp_zero (&t1); - t1.dp[0] = (t - 1 < 0) ? 0 : y.dp[t - 1]; + t1.dp[0] = ((t - 1) < 0) ? 0 : y.dp[t - 1]; t1.dp[1] = y.dp[t]; t1.used = 2; - if ((res = mp_mul_d (&t1, q.dp[i - t - 1], &t1)) != MP_OKAY) { + if ((res = mp_mul_d (&t1, q.dp[(i - t) - 1], &t1)) != MP_OKAY) { goto LBL_Y; } /* find right hand */ - t2.dp[0] = (i - 2 < 0) ? 0 : x.dp[i - 2]; - t2.dp[1] = (i - 1 < 0) ? 0 : x.dp[i - 1]; + t2.dp[0] = ((i - 2) < 0) ? 0 : x.dp[i - 2]; + t2.dp[1] = ((i - 1) < 0) ? 0 : x.dp[i - 1]; t2.dp[2] = x.dp[i]; t2.used = 3; } while (mp_cmp_mag(&t1, &t2) == MP_GT); /* step 3.3 x = x - q{i-t-1} * y * b**{i-t-1} */ - if ((res = mp_mul_d (&y, q.dp[i - t - 1], &t1)) != MP_OKAY) { + if ((res = mp_mul_d (&y, q.dp[(i - t) - 1], &t1)) != MP_OKAY) { goto LBL_Y; } - if ((res = mp_lshd (&t1, i - t - 1)) != MP_OKAY) { + if ((res = mp_lshd (&t1, (i - t) - 1)) != MP_OKAY) { goto LBL_Y; } @@ -244,23 +245,23 @@ int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) if ((res = mp_copy (&y, &t1)) != MP_OKAY) { goto LBL_Y; } - if ((res = mp_lshd (&t1, i - t - 1)) != MP_OKAY) { + if ((res = mp_lshd (&t1, (i - t) - 1)) != MP_OKAY) { goto LBL_Y; } if ((res = mp_add (&x, &t1, &x)) != MP_OKAY) { goto LBL_Y; } - q.dp[i - t - 1] = (q.dp[i - t - 1] - 1UL) & MP_MASK; + q.dp[(i - t) - 1] = (q.dp[(i - t) - 1] - 1UL) & MP_MASK; } } - /* now q is the quotient and x is the remainder - * [which we have to normalize] + /* now q is the quotient and x is the remainder + * [which we have to normalize] */ - + /* get sign before writing to c */ - x.sign = x.used == 0 ? MP_ZPOS : a->sign; + x.sign = (x.used == 0) ? MP_ZPOS : a->sign; if (c != NULL) { mp_clamp (&q); @@ -269,7 +270,9 @@ int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) } if (d != NULL) { - mp_div_2d (&x, norm, &x, NULL); + if ((res = mp_div_2d (&x, norm, &x, NULL)) != MP_OKAY) { + goto LBL_Y; + } mp_exch (&x, d); } @@ -286,3 +289,7 @@ LBL_Q:mp_clear (&q); #endif #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_div_2.c b/libtommath/bn_mp_div_2.c index 186a959..d2a213f 100644 --- a/libtommath/bn_mp_div_2.c +++ b/libtommath/bn_mp_div_2.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_DIV_2_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* b = a/2 */ @@ -30,7 +30,7 @@ int mp_div_2(mp_int * a, mp_int * b) oldused = b->used; b->used = a->used; { - register mp_digit r, rr, *tmpa, *tmpb; + mp_digit r, rr, *tmpa, *tmpb; /* source alias */ tmpa = a->dp + b->used - 1; @@ -62,3 +62,7 @@ int mp_div_2(mp_int * a, mp_int * b) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_div_2d.c b/libtommath/bn_mp_div_2d.c index d7b7e05..49d7479 100644 --- a/libtommath/bn_mp_div_2d.c +++ b/libtommath/bn_mp_div_2d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_DIV_2D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* shift right by a certain bit count (store quotient in c, optional remainder in d) */ @@ -58,7 +58,7 @@ int mp_div_2d (const mp_int * a, int b, mp_int * c, mp_int * d) /* shift any bit count < DIGIT_BIT */ D = (mp_digit) (b % DIGIT_BIT); if (D != 0) { - register mp_digit *tmpc, mask, shift; + mp_digit *tmpc, mask, shift; /* mask */ mask = (((mp_digit)1) << D) - 1; @@ -91,3 +91,7 @@ int mp_div_2d (const mp_int * a, int b, mp_int * c, mp_int * d) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_div_3.c b/libtommath/bn_mp_div_3.c index 79a9816..c2b76fb 100644 --- a/libtommath/bn_mp_div_3.c +++ b/libtommath/bn_mp_div_3.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_DIV_3_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* divide by three (based on routine from MPI and the GMP manual) */ @@ -73,3 +73,7 @@ mp_div_3 (mp_int * a, mp_int *c, mp_digit * d) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_div_d.c b/libtommath/bn_mp_div_d.c index af18d0a..4df1d36 100644 --- a/libtommath/bn_mp_div_d.c +++ b/libtommath/bn_mp_div_d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_DIV_D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,18 +12,19 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ static int s_is_power_of_two(mp_digit b, int *p) { int x; - /* quick out - if (b & (b-1)) isn't zero, b isn't a power of two */ - if ((b==0) || (b & (b-1))) { - return 0; + /* fast return if no power of two */ + if ((b == 0) || ((b & (b-1)) != 0)) { + return 0; } - for (x = 1; x < DIGIT_BIT; x++) { + + for (x = 0; x < DIGIT_BIT; x++) { if (b == (((mp_digit)1)< +#include #ifdef BN_MP_DR_IS_MODULUS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* determines if a number is a valid DR modulus */ @@ -37,3 +37,7 @@ int mp_dr_is_modulus(mp_int *a) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_dr_reduce.c b/libtommath/bn_mp_dr_reduce.c index 8337591..2273c79 100644 --- a/libtommath/bn_mp_dr_reduce.c +++ b/libtommath/bn_mp_dr_reduce.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_DR_REDUCE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* reduce "x" in place modulo "n" using the Diminished Radix algorithm. @@ -40,7 +40,7 @@ mp_dr_reduce (mp_int * x, mp_int * n, mp_digit k) m = n->used; /* ensure that "x" has at least 2m digits */ - if (x->alloc < m + m) { + if (x->alloc < (m + m)) { if ((err = mp_grow (x, m + m)) != MP_OKAY) { return err; } @@ -62,7 +62,7 @@ top: /* compute (x mod B**m) + k * [x/B**m] inline and inplace */ for (i = 0; i < m; i++) { - r = ((mp_word)*tmpx2++) * ((mp_word)k) + *tmpx1 + mu; + r = (((mp_word)*tmpx2++) * (mp_word)k) + *tmpx1 + mu; *tmpx1++ = (mp_digit)(r & MP_MASK); mu = (mp_digit)(r >> ((mp_word)DIGIT_BIT)); } @@ -82,9 +82,15 @@ top: * Each successive "recursion" makes the input smaller and smaller. */ if (mp_cmp_mag (x, n) != MP_LT) { - s_mp_sub(x, n, x); + if ((err = s_mp_sub(x, n, x)) != MP_OKAY) { + return err; + } goto top; } return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_dr_setup.c b/libtommath/bn_mp_dr_setup.c index de00e2d..1bccb2b 100644 --- a/libtommath/bn_mp_dr_setup.c +++ b/libtommath/bn_mp_dr_setup.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_DR_SETUP_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* determines the setup value */ @@ -26,3 +26,7 @@ void mp_dr_setup(mp_int *a, mp_digit *d) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_exch.c b/libtommath/bn_mp_exch.c index b7bd186..634193b 100644 --- a/libtommath/bn_mp_exch.c +++ b/libtommath/bn_mp_exch.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_EXCH_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* swap the elements of two integers, for cases where you can't simply swap the @@ -28,3 +28,7 @@ mp_exch (mp_int * a, mp_int * b) *b = t; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_expt_d.c b/libtommath/bn_mp_expt_d.c index 132f480..61c5a1d 100644 --- a/libtommath/bn_mp_expt_d.c +++ b/libtommath/bn_mp_expt_d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_EXPT_D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,42 +12,17 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ -/* calculate c = a**b using a square-multiply algorithm */ +/* wrapper function for mp_expt_d_ex() */ int mp_expt_d (mp_int * a, mp_digit b, mp_int * c) { - int res, x; - mp_int g; - - if ((res = mp_init_copy (&g, a)) != MP_OKAY) { - return res; - } - - /* set initial result */ - mp_set (c, 1); - - for (x = 0; x < (int) DIGIT_BIT; x++) { - /* square */ - if ((res = mp_sqr (c, c)) != MP_OKAY) { - mp_clear (&g); - return res; - } - - /* if the bit is set multiply */ - if ((b & (mp_digit) (((mp_digit)1) << (DIGIT_BIT - 1))) != 0) { - if ((res = mp_mul (c, &g, c)) != MP_OKAY) { - mp_clear (&g); - return res; - } - } - - /* shift to next bit */ - b <<= 1; - } - - mp_clear (&g); - return MP_OKAY; + return mp_expt_d_ex(a, b, c, 0); } + #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_exptmod.c b/libtommath/bn_mp_exptmod.c index b7d9fb7..0973e44 100644 --- a/libtommath/bn_mp_exptmod.c +++ b/libtommath/bn_mp_exptmod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_EXPTMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ @@ -89,7 +89,7 @@ int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) /* if the modulus is odd or dr != 0 use the montgomery method */ #ifdef BN_MP_EXPTMOD_FAST_C - if (mp_isodd (P) == 1 || dr != 0) { + if ((mp_isodd (P) == MP_YES) || (dr != 0)) { return mp_exptmod_fast (G, X, P, Y, dr); } else { #endif @@ -106,3 +106,7 @@ int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_exptmod_fast.c b/libtommath/bn_mp_exptmod_fast.c index 1902e79..8d280bd 100644 --- a/libtommath/bn_mp_exptmod_fast.c +++ b/libtommath/bn_mp_exptmod_fast.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_EXPTMOD_FAST_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* computes Y == G**X mod P, HAC pp.616, Algorithm 14.85 @@ -96,8 +96,8 @@ int mp_exptmod_fast (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode /* automatically pick the comba one if available (saves quite a few calls/ifs) */ #ifdef BN_FAST_MP_MONTGOMERY_REDUCE_C - if (((P->used * 2 + 1) < MP_WARRAY) && - P->used < (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { + if ((((P->used * 2) + 1) < MP_WARRAY) && + (P->used < (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) { redux = fast_mp_montgomery_reduce; } else #endif @@ -219,12 +219,12 @@ int mp_exptmod_fast (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode * in the exponent. Technically this opt is not required but it * does lower the # of trivial squaring/reductions used */ - if (mode == 0 && y == 0) { + if ((mode == 0) && (y == 0)) { continue; } /* if the bit is zero and mode == 1 then we square */ - if (mode == 1 && y == 0) { + if ((mode == 1) && (y == 0)) { if ((err = mp_sqr (&res, &res)) != MP_OKAY) { goto LBL_RES; } @@ -266,7 +266,7 @@ int mp_exptmod_fast (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode } /* if bits remain then square/multiply */ - if (mode == 2 && bitcpy > 0) { + if ((mode == 2) && (bitcpy > 0)) { /* square then multiply if the bit is set */ for (x = 0; x < bitcpy; x++) { if ((err = mp_sqr (&res, &res)) != MP_OKAY) { @@ -314,3 +314,8 @@ LBL_M: return err; } #endif + + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_exteuclid.c b/libtommath/bn_mp_exteuclid.c index 2e69ce1..fbbd92c 100644 --- a/libtommath/bn_mp_exteuclid.c +++ b/libtommath/bn_mp_exteuclid.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_EXTEUCLID_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,10 +12,10 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ -/* Extended euclidean algorithm of (a, b) produces +/* Extended euclidean algorithm of (a, b) produces a*u1 + b*u2 = u3 */ int mp_exteuclid(mp_int *a, mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3) @@ -61,9 +61,9 @@ int mp_exteuclid(mp_int *a, mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3) /* make sure U3 >= 0 */ if (u3.sign == MP_NEG) { - mp_neg(&u1, &u1); - mp_neg(&u2, &u2); - mp_neg(&u3, &u3); + if ((err = mp_neg(&u1, &u1)) != MP_OKAY) { goto _ERR; } + if ((err = mp_neg(&u2, &u2)) != MP_OKAY) { goto _ERR; } + if ((err = mp_neg(&u3, &u3)) != MP_OKAY) { goto _ERR; } } /* copy result out */ @@ -76,3 +76,7 @@ _ERR: mp_clear_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL return err; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_fread.c b/libtommath/bn_mp_fread.c index 44e1ea8..a4fa8c9 100644 --- a/libtommath/bn_mp_fread.c +++ b/libtommath/bn_mp_fread.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_FREAD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* read a bigint from a file stream in ASCII */ @@ -61,3 +61,7 @@ int mp_fread(mp_int *a, int radix, FILE *stream) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_fwrite.c b/libtommath/bn_mp_fwrite.c index b0ec29e..90f1fc5 100644 --- a/libtommath/bn_mp_fwrite.c +++ b/libtommath/bn_mp_fwrite.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_FWRITE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ int mp_fwrite(mp_int *a, int radix, FILE *stream) @@ -46,3 +46,7 @@ int mp_fwrite(mp_int *a, int radix, FILE *stream) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_gcd.c b/libtommath/bn_mp_gcd.c index 68cfa03..16acfd9 100644 --- a/libtommath/bn_mp_gcd.c +++ b/libtommath/bn_mp_gcd.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_GCD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* Greatest Common Divisor using the binary method */ @@ -70,7 +70,7 @@ int mp_gcd (mp_int * a, mp_int * b, mp_int * c) } } - while (mp_iszero(&v) == 0) { + while (mp_iszero(&v) == MP_NO) { /* make sure v is the largest */ if (mp_cmp_mag(&u, &v) == MP_GT) { /* swap u and v to make sure v is >= u */ @@ -99,3 +99,7 @@ LBL_U:mp_clear (&v); return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_get_int.c b/libtommath/bn_mp_get_int.c index 762cb23..99fb850 100644 --- a/libtommath/bn_mp_get_int.c +++ b/libtommath/bn_mp_get_int.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_GET_INT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,25 +12,25 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* get the lower 32-bits of an mp_int */ -unsigned long mp_get_int(mp_int * a) +unsigned long mp_get_int(mp_int * a) { int i; - unsigned long res; + mp_min_u32 res; if (a->used == 0) { return 0; } /* get number of digits of the lsb we have to read */ - i = MIN(a->used,(int)((sizeof(unsigned long)*CHAR_BIT+DIGIT_BIT-1)/DIGIT_BIT))-1; + i = MIN(a->used,(int)(((sizeof(unsigned long) * CHAR_BIT) + DIGIT_BIT - 1) / DIGIT_BIT)) - 1; /* get most significant digit of result */ res = DIGIT(a,i); - + while (--i >= 0) { res = (res << DIGIT_BIT) | DIGIT(a,i); } @@ -39,3 +39,7 @@ unsigned long mp_get_int(mp_int * a) return res & 0xFFFFFFFFUL; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_grow.c b/libtommath/bn_mp_grow.c index b5b2407..cbdcfed 100644 --- a/libtommath/bn_mp_grow.c +++ b/libtommath/bn_mp_grow.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_GROW_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* grow as required */ @@ -51,3 +51,7 @@ int mp_grow (mp_int * a, int size) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_init.c b/libtommath/bn_mp_init.c index ddb2d07..7a57730 100644 --- a/libtommath/bn_mp_init.c +++ b/libtommath/bn_mp_init.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_INIT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* init a new mp_int */ @@ -40,3 +40,7 @@ int mp_init (mp_int * a) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_init_copy.c b/libtommath/bn_mp_init_copy.c index 2410a9f..9e15f36 100644 --- a/libtommath/bn_mp_init_copy.c +++ b/libtommath/bn_mp_init_copy.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_INIT_COPY_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* creates "a" then copies b into it */ @@ -20,9 +20,13 @@ int mp_init_copy (mp_int * a, mp_int * b) { int res; - if ((res = mp_init (a)) != MP_OKAY) { + if ((res = mp_init_size (a, b->used)) != MP_OKAY) { return res; } return mp_copy (b, a); } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_init_multi.c b/libtommath/bn_mp_init_multi.c index 44e3fe6..52220a3 100644 --- a/libtommath/bn_mp_init_multi.c +++ b/libtommath/bn_mp_init_multi.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_INIT_MULTI_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ #include @@ -37,7 +37,7 @@ int mp_init_multi(mp_int *mp, ...) /* now start cleaning up */ cur_arg = mp; va_start(clean_args, mp); - while (n--) { + while (n-- != 0) { mp_clear(cur_arg); cur_arg = va_arg(clean_args, mp_int*); } @@ -53,3 +53,7 @@ int mp_init_multi(mp_int *mp, ...) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_init_set.c b/libtommath/bn_mp_init_set.c index dc08867..c337e50 100644 --- a/libtommath/bn_mp_init_set.c +++ b/libtommath/bn_mp_init_set.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_INIT_SET_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* initialize and set a digit */ @@ -26,3 +26,7 @@ int mp_init_set (mp_int * a, mp_digit b) return err; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_init_set_int.c b/libtommath/bn_mp_init_set_int.c index 56b27e0..c88f14e 100644 --- a/libtommath/bn_mp_init_set_int.c +++ b/libtommath/bn_mp_init_set_int.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_INIT_SET_INT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* initialize and set a digit */ @@ -25,3 +25,7 @@ int mp_init_set_int (mp_int * a, unsigned long b) return mp_set_int(a, b); } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_init_size.c b/libtommath/bn_mp_init_size.c index 8ed2c2a..e1d1b51 100644 --- a/libtommath/bn_mp_init_size.c +++ b/libtommath/bn_mp_init_size.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_INIT_SIZE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* init an mp_init for a given size */ @@ -42,3 +42,7 @@ int mp_init_size (mp_int * a, int size) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_invmod.c b/libtommath/bn_mp_invmod.c index fdb6c88..44951e5 100644 --- a/libtommath/bn_mp_invmod.c +++ b/libtommath/bn_mp_invmod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_INVMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,28 +12,32 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* hac 14.61, pp608 */ int mp_invmod (mp_int * a, mp_int * b, mp_int * c) { /* b cannot be negative */ - if (b->sign == MP_NEG || mp_iszero(b) == 1) { + if ((b->sign == MP_NEG) || (mp_iszero(b) == MP_YES)) { return MP_VAL; } #ifdef BN_FAST_MP_INVMOD_C /* if the modulus is odd we can use a faster routine instead */ - if (mp_isodd (b) == 1) { + if (mp_isodd (b) == MP_YES) { return fast_mp_invmod (a, b, c); } #endif #ifdef BN_MP_INVMOD_SLOW_C return mp_invmod_slow(a, b, c); -#endif - +#else return MP_VAL; +#endif } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_invmod_slow.c b/libtommath/bn_mp_invmod_slow.c index e079819..a21f947 100644 --- a/libtommath/bn_mp_invmod_slow.c +++ b/libtommath/bn_mp_invmod_slow.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_INVMOD_SLOW_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* hac 14.61, pp608 */ @@ -22,7 +22,7 @@ int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c) int res; /* b cannot be negative */ - if (b->sign == MP_NEG || mp_iszero(b) == 1) { + if ((b->sign == MP_NEG) || (mp_iszero(b) == MP_YES)) { return MP_VAL; } @@ -41,7 +41,7 @@ int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c) } /* 2. [modified] if x,y are both even then return an error! */ - if (mp_iseven (&x) == 1 && mp_iseven (&y) == 1) { + if ((mp_iseven (&x) == MP_YES) && (mp_iseven (&y) == MP_YES)) { res = MP_VAL; goto LBL_ERR; } @@ -58,13 +58,13 @@ int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c) top: /* 4. while u is even do */ - while (mp_iseven (&u) == 1) { + while (mp_iseven (&u) == MP_YES) { /* 4.1 u = u/2 */ if ((res = mp_div_2 (&u, &u)) != MP_OKAY) { goto LBL_ERR; } /* 4.2 if A or B is odd then */ - if (mp_isodd (&A) == 1 || mp_isodd (&B) == 1) { + if ((mp_isodd (&A) == MP_YES) || (mp_isodd (&B) == MP_YES)) { /* A = (A+y)/2, B = (B-x)/2 */ if ((res = mp_add (&A, &y, &A)) != MP_OKAY) { goto LBL_ERR; @@ -83,13 +83,13 @@ top: } /* 5. while v is even do */ - while (mp_iseven (&v) == 1) { + while (mp_iseven (&v) == MP_YES) { /* 5.1 v = v/2 */ if ((res = mp_div_2 (&v, &v)) != MP_OKAY) { goto LBL_ERR; } /* 5.2 if C or D is odd then */ - if (mp_isodd (&C) == 1 || mp_isodd (&D) == 1) { + if ((mp_isodd (&C) == MP_YES) || (mp_isodd (&D) == MP_YES)) { /* C = (C+y)/2, D = (D-x)/2 */ if ((res = mp_add (&C, &y, &C)) != MP_OKAY) { goto LBL_ERR; @@ -137,7 +137,7 @@ top: } /* if not zero goto step 4 */ - if (mp_iszero (&u) == 0) + if (mp_iszero (&u) == MP_NO) goto top; /* now a = C, b = D, gcd == g*v */ @@ -169,3 +169,7 @@ LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &A, &B, &C, &D, NULL); return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_is_square.c b/libtommath/bn_mp_is_square.c index 926b449..9f065ef 100644 --- a/libtommath/bn_mp_is_square.c +++ b/libtommath/bn_mp_is_square.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_IS_SQUARE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* Check if remainders are possible squares - fast exclude non-squares */ @@ -82,13 +82,13 @@ int mp_is_square(mp_int *arg,int *ret) * free "t" so the easiest way is to goto ERR. We know that res * is already equal to MP_OKAY from the mp_mod call */ - if ( (1L<<(r%11)) & 0x5C4L ) goto ERR; - if ( (1L<<(r%13)) & 0x9E4L ) goto ERR; - if ( (1L<<(r%17)) & 0x5CE8L ) goto ERR; - if ( (1L<<(r%19)) & 0x4F50CL ) goto ERR; - if ( (1L<<(r%23)) & 0x7ACCA0L ) goto ERR; - if ( (1L<<(r%29)) & 0xC2EDD0CL ) goto ERR; - if ( (1L<<(r%31)) & 0x6DE2B848L ) goto ERR; + if (((1L<<(r%11)) & 0x5C4L) != 0L) goto ERR; + if (((1L<<(r%13)) & 0x9E4L) != 0L) goto ERR; + if (((1L<<(r%17)) & 0x5CE8L) != 0L) goto ERR; + if (((1L<<(r%19)) & 0x4F50CL) != 0L) goto ERR; + if (((1L<<(r%23)) & 0x7ACCA0L) != 0L) goto ERR; + if (((1L<<(r%29)) & 0xC2EDD0CL) != 0L) goto ERR; + if (((1L<<(r%31)) & 0x6DE2B848L) != 0L) goto ERR; /* Final check - is sqr(sqrt(arg)) == arg ? */ if ((res = mp_sqrt(arg,&t)) != MP_OKAY) { @@ -103,3 +103,7 @@ ERR:mp_clear(&t); return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_jacobi.c b/libtommath/bn_mp_jacobi.c index 1644698..3c114e3 100644 --- a/libtommath/bn_mp_jacobi.c +++ b/libtommath/bn_mp_jacobi.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_JACOBI_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,27 +12,39 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* computes the jacobi c = (a | n) (or Legendre if n is prime) * HAC pp. 73 Algorithm 2.149 + * HAC is wrong here, as the special case of (0 | 1) is not + * handled correctly. */ -int mp_jacobi (mp_int * a, mp_int * p, int *c) +int mp_jacobi (mp_int * a, mp_int * n, int *c) { mp_int a1, p1; int k, s, r, res; mp_digit residue; - /* if p <= 0 return MP_VAL */ - if (mp_cmp_d(p, 0) != MP_GT) { + /* if a < 0 return MP_VAL */ + if (mp_isneg(a) == MP_YES) { return MP_VAL; } - /* step 1. if a == 0, return 0 */ - if (mp_iszero (a) == 1) { - *c = 0; - return MP_OKAY; + /* if n <= 0 return MP_VAL */ + if (mp_cmp_d(n, 0) != MP_GT) { + return MP_VAL; + } + + /* step 1. handle case of a == 0 */ + if (mp_iszero (a) == MP_YES) { + /* special case of a == 0 and n == 1 */ + if (mp_cmp_d (n, 1) == MP_EQ) { + *c = 1; + } else { + *c = 0; + } + return MP_OKAY; } /* step 2. if a == 1, return 1 */ @@ -64,17 +76,17 @@ int mp_jacobi (mp_int * a, mp_int * p, int *c) s = 1; } else { /* else set s=1 if p = 1/7 (mod 8) or s=-1 if p = 3/5 (mod 8) */ - residue = p->dp[0] & 7; + residue = n->dp[0] & 7; - if (residue == 1 || residue == 7) { + if ((residue == 1) || (residue == 7)) { s = 1; - } else if (residue == 3 || residue == 5) { + } else if ((residue == 3) || (residue == 5)) { s = -1; } } /* step 5. if p == 3 (mod 4) *and* a1 == 3 (mod 4) then s = -s */ - if ( ((p->dp[0] & 3) == 3) && ((a1.dp[0] & 3) == 3)) { + if ( ((n->dp[0] & 3) == 3) && ((a1.dp[0] & 3) == 3)) { s = -s; } @@ -83,7 +95,7 @@ int mp_jacobi (mp_int * a, mp_int * p, int *c) *c = s; } else { /* n1 = n mod a1 */ - if ((res = mp_mod (p, &a1, &p1)) != MP_OKAY) { + if ((res = mp_mod (n, &a1, &p1)) != MP_OKAY) { goto LBL_P1; } if ((res = mp_jacobi (&p1, &a1, &r)) != MP_OKAY) { @@ -99,3 +111,7 @@ LBL_A1:mp_clear (&a1); return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_karatsuba_mul.c b/libtommath/bn_mp_karatsuba_mul.c index 0d62b9b..d65e37e 100644 --- a/libtommath/bn_mp_karatsuba_mul.c +++ b/libtommath/bn_mp_karatsuba_mul.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_KARATSUBA_MUL_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* c = |a| * |b| using Karatsuba Multiplication using @@ -82,8 +82,8 @@ int mp_karatsuba_mul (mp_int * a, mp_int * b, mp_int * c) y1.used = b->used - B; { - register int x; - register mp_digit *tmpa, *tmpb, *tmpx, *tmpy; + int x; + mp_digit *tmpa, *tmpb, *tmpx, *tmpy; /* we copy the digits directly instead of using higher level functions * since we also need to shift the digits @@ -161,3 +161,7 @@ ERR: return err; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_karatsuba_sqr.c b/libtommath/bn_mp_karatsuba_sqr.c index 829405a..739840d 100644 --- a/libtommath/bn_mp_karatsuba_sqr.c +++ b/libtommath/bn_mp_karatsuba_sqr.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_KARATSUBA_SQR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* Karatsuba squaring, computes b = a*a using three @@ -52,8 +52,8 @@ int mp_karatsuba_sqr (mp_int * a, mp_int * b) goto X0X0; { - register int x; - register mp_digit *dst, *src; + int x; + mp_digit *dst, *src; src = a->dp; @@ -115,3 +115,7 @@ ERR: return err; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_lcm.c b/libtommath/bn_mp_lcm.c index 1d53921..3bff571 100644 --- a/libtommath/bn_mp_lcm.c +++ b/libtommath/bn_mp_lcm.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_LCM_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* computes least common multiple as |a*b|/(a, b) */ @@ -54,3 +54,7 @@ LBL_T: return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_lshd.c b/libtommath/bn_mp_lshd.c index ce1e63b..f6f800f 100644 --- a/libtommath/bn_mp_lshd.c +++ b/libtommath/bn_mp_lshd.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_LSHD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* shift left a certain amount of digits */ @@ -26,14 +26,14 @@ int mp_lshd (mp_int * a, int b) } /* grow to fit the new digits */ - if (a->alloc < a->used + b) { + if (a->alloc < (a->used + b)) { if ((res = mp_grow (a, a->used + b)) != MP_OKAY) { return res; } } { - register mp_digit *top, *bottom; + mp_digit *top, *bottom; /* increment the used by the shift amount then copy upwards */ a->used += b; @@ -42,7 +42,7 @@ int mp_lshd (mp_int * a, int b) top = a->dp + a->used - 1; /* base */ - bottom = a->dp + a->used - 1 - b; + bottom = (a->dp + a->used - 1) - b; /* much like mp_rshd this is implemented using a sliding window * except the window goes the otherway around. Copying from @@ -61,3 +61,7 @@ int mp_lshd (mp_int * a, int b) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_mod.c b/libtommath/bn_mp_mod.c index 98e155e..b67467d 100644 --- a/libtommath/bn_mp_mod.c +++ b/libtommath/bn_mp_mod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,10 +12,10 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ -/* c = a mod b, 0 <= c < b */ +/* c = a mod b, 0 <= c < b if b > 0, b < c <= 0 if b < 0 */ int mp_mod (mp_int * a, mp_int * b, mp_int * c) { @@ -31,14 +31,18 @@ mp_mod (mp_int * a, mp_int * b, mp_int * c) return res; } - if (t.sign != b->sign) { - res = mp_add (b, &t, c); - } else { + if ((mp_iszero(&t) != MP_NO) || (t.sign == b->sign)) { res = MP_OKAY; mp_exch (&t, c); + } else { + res = mp_add (b, &t, c); } mp_clear (&t); return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_mod_2d.c b/libtommath/bn_mp_mod_2d.c index 0170f65..954d64f 100644 --- a/libtommath/bn_mp_mod_2d.c +++ b/libtommath/bn_mp_mod_2d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MOD_2D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* calc a value mod 2**b */ @@ -39,7 +39,7 @@ mp_mod_2d (const mp_int * a, int b, mp_int * c) } /* zero digits above the last digit of the modulus */ - for (x = (b / DIGIT_BIT) + ((b % DIGIT_BIT) == 0 ? 0 : 1); x < c->used; x++) { + for (x = (b / DIGIT_BIT) + (((b % DIGIT_BIT) == 0) ? 0 : 1); x < c->used; x++) { c->dp[x] = 0; } /* clear the digit that is not completely outside/inside the modulus */ @@ -49,3 +49,7 @@ mp_mod_2d (const mp_int * a, int b, mp_int * c) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_mod_d.c b/libtommath/bn_mp_mod_d.c index f642ee8..d8722f0 100644 --- a/libtommath/bn_mp_mod_d.c +++ b/libtommath/bn_mp_mod_d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MOD_D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ int @@ -21,3 +21,7 @@ mp_mod_d (mp_int * a, mp_digit b, mp_digit * c) return mp_div_d(a, b, NULL, c); } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_montgomery_calc_normalization.c b/libtommath/bn_mp_montgomery_calc_normalization.c index 0748762..ea87cbd 100644 --- a/libtommath/bn_mp_montgomery_calc_normalization.c +++ b/libtommath/bn_mp_montgomery_calc_normalization.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MONTGOMERY_CALC_NORMALIZATION_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* @@ -29,7 +29,7 @@ int mp_montgomery_calc_normalization (mp_int * a, mp_int * b) bits = mp_count_bits (b) % DIGIT_BIT; if (b->used > 1) { - if ((res = mp_2expt (a, (b->used - 1) * DIGIT_BIT + bits - 1)) != MP_OKAY) { + if ((res = mp_2expt (a, ((b->used - 1) * DIGIT_BIT) + bits - 1)) != MP_OKAY) { return res; } } else { @@ -53,3 +53,7 @@ int mp_montgomery_calc_normalization (mp_int * a, mp_int * b) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_montgomery_reduce.c b/libtommath/bn_mp_montgomery_reduce.c index bc6abb8..af2cc58 100644 --- a/libtommath/bn_mp_montgomery_reduce.c +++ b/libtommath/bn_mp_montgomery_reduce.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MONTGOMERY_REDUCE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* computes xR**-1 == x (mod N) via Montgomery Reduction */ @@ -28,10 +28,10 @@ mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) * than the available columns [255 per default] since carries * are fixed up in the inner loop. */ - digs = n->used * 2 + 1; + digs = (n->used * 2) + 1; if ((digs < MP_WARRAY) && - n->used < - (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { + (n->used < + (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) { return fast_mp_montgomery_reduce (x, n, rho); } @@ -52,13 +52,13 @@ mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) * following inner loop to reduce the * input one digit at a time */ - mu = (mp_digit) (((mp_word)x->dp[ix]) * ((mp_word)rho) & MP_MASK); + mu = (mp_digit) (((mp_word)x->dp[ix] * (mp_word)rho) & MP_MASK); /* a = a + mu * m * b**i */ { - register int iy; - register mp_digit *tmpn, *tmpx, u; - register mp_word r; + int iy; + mp_digit *tmpn, *tmpx, u; + mp_word r; /* alias for digits of the modulus */ tmpn = n->dp; @@ -72,8 +72,8 @@ mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) /* Multiply and add in place */ for (iy = 0; iy < n->used; iy++) { /* compute product and sum */ - r = ((mp_word)mu) * ((mp_word)*tmpn++) + - ((mp_word) u) + ((mp_word) * tmpx); + r = ((mp_word)mu * (mp_word)*tmpn++) + + (mp_word) u + (mp_word) *tmpx; /* get carry */ u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); @@ -85,7 +85,7 @@ mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) /* propagate carries upwards as required*/ - while (u) { + while (u != 0) { *tmpx += u; u = *tmpx >> DIGIT_BIT; *tmpx++ &= MP_MASK; @@ -112,3 +112,7 @@ mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_montgomery_setup.c b/libtommath/bn_mp_montgomery_setup.c index b8e1887..264a2bd 100644 --- a/libtommath/bn_mp_montgomery_setup.c +++ b/libtommath/bn_mp_montgomery_setup.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MONTGOMERY_SETUP_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* setups the montgomery reduction stuff */ @@ -36,20 +36,24 @@ mp_montgomery_setup (mp_int * n, mp_digit * rho) } x = (((b + 2) & 4) << 1) + b; /* here x*a==1 mod 2**4 */ - x *= 2 - b * x; /* here x*a==1 mod 2**8 */ + x *= 2 - (b * x); /* here x*a==1 mod 2**8 */ #if !defined(MP_8BIT) - x *= 2 - b * x; /* here x*a==1 mod 2**16 */ + x *= 2 - (b * x); /* here x*a==1 mod 2**16 */ #endif #if defined(MP_64BIT) || !(defined(MP_8BIT) || defined(MP_16BIT)) - x *= 2 - b * x; /* here x*a==1 mod 2**32 */ + x *= 2 - (b * x); /* here x*a==1 mod 2**32 */ #endif #ifdef MP_64BIT - x *= 2 - b * x; /* here x*a==1 mod 2**64 */ + x *= 2 - (b * x); /* here x*a==1 mod 2**64 */ #endif /* rho = -1/m mod b */ - *rho = (unsigned long)(((mp_word)1 << ((mp_word) DIGIT_BIT)) - x) & MP_MASK; + *rho = (mp_digit)(((mp_word)1 << ((mp_word) DIGIT_BIT)) - x) & MP_MASK; return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_mul.c b/libtommath/bn_mp_mul.c index fc024be..ea53d5e 100644 --- a/libtommath/bn_mp_mul.c +++ b/libtommath/bn_mp_mul.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MUL_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* high level multiplication (handles sign) */ @@ -44,19 +44,24 @@ int mp_mul (mp_int * a, mp_int * b, mp_int * c) #ifdef BN_FAST_S_MP_MUL_DIGS_C if ((digs < MP_WARRAY) && - MIN(a->used, b->used) <= - (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { + (MIN(a->used, b->used) <= + (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) { res = fast_s_mp_mul_digs (a, b, c, digs); } else #endif + { #ifdef BN_S_MP_MUL_DIGS_C res = s_mp_mul (a, b, c); /* uses s_mp_mul_digs */ #else res = MP_VAL; #endif - + } } c->sign = (c->used > 0) ? neg : MP_ZPOS; return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_mul_2.c b/libtommath/bn_mp_mul_2.c index 2ca6022..9c72c7f 100644 --- a/libtommath/bn_mp_mul_2.c +++ b/libtommath/bn_mp_mul_2.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MUL_2_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* b = a*2 */ @@ -21,7 +21,7 @@ int mp_mul_2(mp_int * a, mp_int * b) int x, res, oldused; /* grow to accomodate result */ - if (b->alloc < a->used + 1) { + if (b->alloc < (a->used + 1)) { if ((res = mp_grow (b, a->used + 1)) != MP_OKAY) { return res; } @@ -31,7 +31,7 @@ int mp_mul_2(mp_int * a, mp_int * b) b->used = a->used; { - register mp_digit r, rr, *tmpa, *tmpb; + mp_digit r, rr, *tmpa, *tmpb; /* alias for source */ tmpa = a->dp; @@ -76,3 +76,7 @@ int mp_mul_2(mp_int * a, mp_int * b) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_mul_2d.c b/libtommath/bn_mp_mul_2d.c index 4ac2e4e..e9b284e 100644 --- a/libtommath/bn_mp_mul_2d.c +++ b/libtommath/bn_mp_mul_2d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MUL_2D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* shift left by a certain bit count */ @@ -28,8 +28,8 @@ int mp_mul_2d (const mp_int * a, int b, mp_int * c) } } - if (c->alloc < (int)(c->used + b/DIGIT_BIT + 1)) { - if ((res = mp_grow (c, c->used + b / DIGIT_BIT + 1)) != MP_OKAY) { + if (c->alloc < (int)(c->used + (b / DIGIT_BIT) + 1)) { + if ((res = mp_grow (c, c->used + (b / DIGIT_BIT) + 1)) != MP_OKAY) { return res; } } @@ -44,8 +44,8 @@ int mp_mul_2d (const mp_int * a, int b, mp_int * c) /* shift any bit count < DIGIT_BIT */ d = (mp_digit) (b % DIGIT_BIT); if (d != 0) { - register mp_digit *tmpc, shift, mask, r, rr; - register int x; + mp_digit *tmpc, shift, mask, r, rr; + int x; /* bitmask for carries */ mask = (((mp_digit)1) << d) - 1; @@ -79,3 +79,7 @@ int mp_mul_2d (const mp_int * a, int b, mp_int * c) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_mul_d.c b/libtommath/bn_mp_mul_d.c index ba45a0c..e77da5d 100644 --- a/libtommath/bn_mp_mul_d.c +++ b/libtommath/bn_mp_mul_d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MUL_D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* multiply by a digit */ @@ -24,7 +24,7 @@ mp_mul_d (mp_int * a, mp_digit b, mp_int * c) int ix, res, olduse; /* make sure c is big enough to hold a*b */ - if (c->alloc < a->used + 1) { + if (c->alloc < (a->used + 1)) { if ((res = mp_grow (c, a->used + 1)) != MP_OKAY) { return res; } @@ -48,7 +48,7 @@ mp_mul_d (mp_int * a, mp_digit b, mp_int * c) /* compute columns */ for (ix = 0; ix < a->used; ix++) { /* compute product and carry sum for this term */ - r = ((mp_word) u) + ((mp_word)*tmpa++) * ((mp_word)b); + r = (mp_word)u + ((mp_word)*tmpa++ * (mp_word)b); /* mask off higher bits to get a single digit */ *tmpc++ = (mp_digit) (r & ((mp_word) MP_MASK)); @@ -73,3 +73,7 @@ mp_mul_d (mp_int * a, mp_digit b, mp_int * c) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_mulmod.c b/libtommath/bn_mp_mulmod.c index 649b717..5ea88ef 100644 --- a/libtommath/bn_mp_mulmod.c +++ b/libtommath/bn_mp_mulmod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MULMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* d = a * b (mod c) */ @@ -34,3 +34,7 @@ int mp_mulmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_n_root.c b/libtommath/bn_mp_n_root.c index b2700a8..a14ee67 100644 --- a/libtommath/bn_mp_n_root.c +++ b/libtommath/bn_mp_n_root.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_N_ROOT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,117 +12,19 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ -/* find the n'th root of an integer - * - * Result found such that (c)**b <= a and (c+1)**b > a - * - * This algorithm uses Newton's approximation - * x[i+1] = x[i] - f(x[i])/f'(x[i]) - * which will find the root in log(N) time where - * each step involves a fair bit. This is not meant to - * find huge roots [square and cube, etc]. +/* wrapper function for mp_n_root_ex() + * computes c = (a)**(1/b) such that (c)**b <= a and (c+1)**b > a */ int mp_n_root (mp_int * a, mp_digit b, mp_int * c) { - mp_int t1, t2, t3; - int res, neg; - - /* input must be positive if b is even */ - if ((b & 1) == 0 && a->sign == MP_NEG) { - return MP_VAL; - } - - if ((res = mp_init (&t1)) != MP_OKAY) { - return res; - } - - if ((res = mp_init (&t2)) != MP_OKAY) { - goto LBL_T1; - } - - if ((res = mp_init (&t3)) != MP_OKAY) { - goto LBL_T2; - } - - /* if a is negative fudge the sign but keep track */ - neg = a->sign; - a->sign = MP_ZPOS; - - /* t2 = 2 */ - mp_set (&t2, 2); - - do { - /* t1 = t2 */ - if ((res = mp_copy (&t2, &t1)) != MP_OKAY) { - goto LBL_T3; - } - - /* t2 = t1 - ((t1**b - a) / (b * t1**(b-1))) */ - - /* t3 = t1**(b-1) */ - if ((res = mp_expt_d (&t1, b - 1, &t3)) != MP_OKAY) { - goto LBL_T3; - } - - /* numerator */ - /* t2 = t1**b */ - if ((res = mp_mul (&t3, &t1, &t2)) != MP_OKAY) { - goto LBL_T3; - } - - /* t2 = t1**b - a */ - if ((res = mp_sub (&t2, a, &t2)) != MP_OKAY) { - goto LBL_T3; - } - - /* denominator */ - /* t3 = t1**(b-1) * b */ - if ((res = mp_mul_d (&t3, b, &t3)) != MP_OKAY) { - goto LBL_T3; - } - - /* t3 = (t1**b - a)/(b * t1**(b-1)) */ - if ((res = mp_div (&t2, &t3, &t3, NULL)) != MP_OKAY) { - goto LBL_T3; - } - - if ((res = mp_sub (&t1, &t3, &t2)) != MP_OKAY) { - goto LBL_T3; - } - } while (mp_cmp (&t1, &t2) != MP_EQ); - - /* result can be off by a few so check */ - for (;;) { - if ((res = mp_expt_d (&t1, b, &t2)) != MP_OKAY) { - goto LBL_T3; - } - - if (mp_cmp (&t2, a) == MP_GT) { - if ((res = mp_sub_d (&t1, 1, &t1)) != MP_OKAY) { - goto LBL_T3; - } - } else { - break; - } - } - - /* reset the sign of a first */ - a->sign = neg; - - /* set the result */ - mp_exch (&t1, c); - - /* set the sign of the result */ - c->sign = neg; - - res = MP_OKAY; - -LBL_T3:mp_clear (&t3); -LBL_T2:mp_clear (&t2); -LBL_T1:mp_clear (&t1); - return res; + return mp_n_root_ex(a, b, c, 0); } + #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_neg.c b/libtommath/bn_mp_neg.c index 07fb148..952a991 100644 --- a/libtommath/bn_mp_neg.c +++ b/libtommath/bn_mp_neg.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_NEG_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* b = -a */ @@ -34,3 +34,7 @@ int mp_neg (const mp_int * a, mp_int * b) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_or.c b/libtommath/bn_mp_or.c index aa5b1bd..b7f2e4f 100644 --- a/libtommath/bn_mp_or.c +++ b/libtommath/bn_mp_or.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_OR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* OR two ints together */ @@ -44,3 +44,7 @@ int mp_or (mp_int * a, mp_int * b, mp_int * c) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_prime_fermat.c b/libtommath/bn_mp_prime_fermat.c index 7b9b12e..9dc9e85 100644 --- a/libtommath/bn_mp_prime_fermat.c +++ b/libtommath/bn_mp_prime_fermat.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_PRIME_FERMAT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* performs one Fermat test. @@ -56,3 +56,7 @@ LBL_T:mp_clear (&t); return err; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_prime_is_divisible.c b/libtommath/bn_mp_prime_is_divisible.c index 710c967..5854f08 100644 --- a/libtommath/bn_mp_prime_is_divisible.c +++ b/libtommath/bn_mp_prime_is_divisible.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_PRIME_IS_DIVISIBLE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* determines if an integers is divisible by one @@ -44,3 +44,7 @@ int mp_prime_is_divisible (mp_int * a, int *result) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_prime_is_prime.c b/libtommath/bn_mp_prime_is_prime.c index ce225a3..be5ebe4 100644 --- a/libtommath/bn_mp_prime_is_prime.c +++ b/libtommath/bn_mp_prime_is_prime.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_PRIME_IS_PRIME_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* performs a variable number of rounds of Miller-Rabin @@ -31,7 +31,7 @@ int mp_prime_is_prime (mp_int * a, int t, int *result) *result = MP_NO; /* valid value of t? */ - if (t <= 0 || t > PRIME_SIZE) { + if ((t <= 0) || (t > PRIME_SIZE)) { return MP_VAL; } @@ -77,3 +77,7 @@ LBL_B:mp_clear (&b); return err; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_prime_miller_rabin.c b/libtommath/bn_mp_prime_miller_rabin.c index c5185b8..7b5c8d2 100644 --- a/libtommath/bn_mp_prime_miller_rabin.c +++ b/libtommath/bn_mp_prime_miller_rabin.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_PRIME_MILLER_RABIN_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* Miller-Rabin test of "a" to the base of "b" as described in @@ -67,10 +67,10 @@ int mp_prime_miller_rabin (mp_int * a, mp_int * b, int *result) } /* if y != 1 and y != n1 do */ - if (mp_cmp_d (&y, 1) != MP_EQ && mp_cmp (&y, &n1) != MP_EQ) { + if ((mp_cmp_d (&y, 1) != MP_EQ) && (mp_cmp (&y, &n1) != MP_EQ)) { j = 1; /* while j <= s-1 and y != n1 */ - while ((j <= (s - 1)) && mp_cmp (&y, &n1) != MP_EQ) { + while ((j <= (s - 1)) && (mp_cmp (&y, &n1) != MP_EQ)) { if ((err = mp_sqrmod (&y, a, &y)) != MP_OKAY) { goto LBL_Y; } @@ -97,3 +97,7 @@ LBL_N1:mp_clear (&n1); return err; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_prime_next_prime.c b/libtommath/bn_mp_prime_next_prime.c index 2433e8c..9951dc3 100644 --- a/libtommath/bn_mp_prime_next_prime.c +++ b/libtommath/bn_mp_prime_next_prime.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_PRIME_NEXT_PRIME_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* finds the next prime after the number "a" using "t" trials @@ -22,12 +22,12 @@ */ int mp_prime_next_prime(mp_int *a, int t, int bbs_style) { - int err, res, x, y; + int err, res = MP_NO, x, y; mp_digit res_tab[PRIME_SIZE], step, kstep; mp_int b; /* ensure t is valid */ - if (t <= 0 || t > PRIME_SIZE) { + if ((t <= 0) || (t > PRIME_SIZE)) { return MP_VAL; } @@ -84,7 +84,7 @@ int mp_prime_next_prime(mp_int *a, int t, int bbs_style) if ((err = mp_sub_d(a, (a->dp[0] & 3) + 1, a)) != MP_OKAY) { return err; }; } } else { - if (mp_iseven(a) == 1) { + if (mp_iseven(a) == MP_YES) { /* force odd */ if ((err = mp_sub_d(a, 1, a)) != MP_OKAY) { return err; @@ -129,7 +129,7 @@ int mp_prime_next_prime(mp_int *a, int t, int bbs_style) y = 1; } } - } while (y == 1 && step < ((((mp_digit)1)<= ((((mp_digit)1)<= ((((mp_digit)1) << DIGIT_BIT) - kstep))) { continue; } @@ -164,3 +164,7 @@ LBL_ERR: } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_prime_rabin_miller_trials.c b/libtommath/bn_mp_prime_rabin_miller_trials.c index e57a43c..bca4229 100644 --- a/libtommath/bn_mp_prime_rabin_miller_trials.c +++ b/libtommath/bn_mp_prime_rabin_miller_trials.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_PRIME_RABIN_MILLER_TRIALS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ @@ -46,3 +46,7 @@ int mp_prime_rabin_miller_trials(int size) #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_prime_random_ex.c b/libtommath/bn_mp_prime_random_ex.c index a37477e..1efc4fc 100644 --- a/libtommath/bn_mp_prime_random_ex.c +++ b/libtommath/bn_mp_prime_random_ex.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_PRIME_RANDOM_EX_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* makes a truly random prime of a given size (bits), @@ -21,7 +21,6 @@ * * LTM_PRIME_BBS - make prime congruent to 3 mod 4 * LTM_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies LTM_PRIME_BBS) - * LTM_PRIME_2MSB_OFF - make the 2nd highest bit zero * LTM_PRIME_2MSB_ON - make the 2nd highest bit one * * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can @@ -37,12 +36,12 @@ int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback int res, err, bsize, maskOR_msb_offset; /* sanity check the input */ - if (size <= 1 || t <= 0) { + if ((size <= 1) || (t <= 0)) { return MP_VAL; } /* LTM_PRIME_SAFE implies LTM_PRIME_BBS */ - if (flags & LTM_PRIME_SAFE) { + if ((flags & LTM_PRIME_SAFE) != 0) { flags |= LTM_PRIME_BBS; } @@ -61,13 +60,13 @@ int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback /* calc the maskOR_msb */ maskOR_msb = 0; maskOR_msb_offset = ((size & 7) == 1) ? 1 : 0; - if (flags & LTM_PRIME_2MSB_ON) { + if ((flags & LTM_PRIME_2MSB_ON) != 0) { maskOR_msb |= 0x80 >> ((9 - size) & 7); } /* get the maskOR_lsb */ maskOR_lsb = 1; - if (flags & LTM_PRIME_BBS) { + if ((flags & LTM_PRIME_BBS) != 0) { maskOR_lsb |= 3; } @@ -95,7 +94,7 @@ int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback continue; } - if (flags & LTM_PRIME_SAFE) { + if ((flags & LTM_PRIME_SAFE) != 0) { /* see if (a-1)/2 is prime */ if ((err = mp_sub_d(a, 1, a)) != MP_OKAY) { goto error; } if ((err = mp_div_2(a, a)) != MP_OKAY) { goto error; } @@ -105,7 +104,7 @@ int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback } } while (res == MP_NO); - if (flags & LTM_PRIME_SAFE) { + if ((flags & LTM_PRIME_SAFE) != 0) { /* restore a to the original value */ if ((err = mp_mul_2(a, a)) != MP_OKAY) { goto error; } if ((err = mp_add_d(a, 1, a)) != MP_OKAY) { goto error; } @@ -119,3 +118,7 @@ error: #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_radix_size.c b/libtommath/bn_mp_radix_size.c index 40c4d04..e5d7772 100644 --- a/libtommath/bn_mp_radix_size.c +++ b/libtommath/bn_mp_radix_size.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_RADIX_SIZE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* returns size of ASCII reprensentation */ @@ -24,14 +24,8 @@ int mp_radix_size (mp_int * a, int radix, int *size) *size = 0; - /* special case for binary */ - if (radix == 2) { - *size = mp_count_bits (a) + (a->sign == MP_NEG ? 1 : 0) + 1; - return MP_OKAY; - } - /* make sure the radix is in range */ - if (radix < 2 || radix > 64) { + if ((radix < 2) || (radix > 64)) { return MP_VAL; } @@ -40,6 +34,12 @@ int mp_radix_size (mp_int * a, int radix, int *size) return MP_OKAY; } + /* special case for binary */ + if (radix == 2) { + *size = mp_count_bits (a) + ((a->sign == MP_NEG) ? 1 : 0) + 1; + return MP_OKAY; + } + /* digs is the digit count */ digs = 0; @@ -66,18 +66,13 @@ int mp_radix_size (mp_int * a, int radix, int *size) } mp_clear (&t); - /* - * return digs + 1, the 1 is for the NULL byte that would be required. - * mp_toradix_n requires a minimum of 3 bytes, so never report less than - * that. - */ - - if ( digs >= 2 ) { - *size = digs + 1; - } else { - *size = 3; - } + /* return digs + 1, the 1 is for the NULL byte that would be required. */ + *size = digs + 1; return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_radix_smap.c b/libtommath/bn_mp_radix_smap.c index 7aeb375..d1c75ad 100644 --- a/libtommath/bn_mp_radix_smap.c +++ b/libtommath/bn_mp_radix_smap.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_RADIX_SMAP_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,9 +12,13 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* chars used in radix conversions */ const char *mp_s_rmap = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz+/"; #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_rand.c b/libtommath/bn_mp_rand.c index 17c1fbe..4c9610d 100644 --- a/libtommath/bn_mp_rand.c +++ b/libtommath/bn_mp_rand.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_RAND_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* makes a pseudo-random int of a given size */ @@ -29,7 +29,7 @@ mp_rand (mp_int * a, int digits) /* first place a random non-zero digit */ do { - d = ((mp_digit) abs (rand ())) & MP_MASK; + d = ((mp_digit) abs (MP_GEN_RANDOM())) & MP_MASK; } while (d == 0); if ((res = mp_add_d (a, d, a)) != MP_OKAY) { @@ -41,7 +41,7 @@ mp_rand (mp_int * a, int digits) return res; } - if ((res = mp_add_d (a, ((mp_digit) abs (rand ())), a)) != MP_OKAY) { + if ((res = mp_add_d (a, ((mp_digit) abs (MP_GEN_RANDOM())), a)) != MP_OKAY) { return res; } } @@ -49,3 +49,7 @@ mp_rand (mp_int * a, int digits) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_read_radix.c b/libtommath/bn_mp_read_radix.c index 4b92589..5c9eb5e 100644 --- a/libtommath/bn_mp_read_radix.c +++ b/libtommath/bn_mp_read_radix.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_READ_RADIX_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* read a string [ASCII] in a given radix */ @@ -25,7 +25,7 @@ int mp_read_radix (mp_int * a, const char *str, int radix) mp_zero(a); /* make sure the radix is ok */ - if (radix < 2 || radix > 64) { + if ((radix < 2) || (radix > 64)) { return MP_VAL; } @@ -43,12 +43,12 @@ int mp_read_radix (mp_int * a, const char *str, int radix) mp_zero (a); /* process each digit of the string */ - while (*str) { - /* if the radix < 36 the conversion is case insensitive + while (*str != '\0') { + /* if the radix <= 36 the conversion is case insensitive * this allows numbers like 1AB and 1ab to represent the same value * [e.g. in hex] */ - ch = (char) ((radix < 36) ? toupper ((unsigned char) *str) : *str); + ch = (radix <= 36) ? (char)toupper((int)*str) : *str; for (y = 0; y < 64; y++) { if (ch == mp_s_rmap[y]) { break; @@ -72,17 +72,14 @@ int mp_read_radix (mp_int * a, const char *str, int radix) ++str; } - /* if an illegal character was found, fail. */ - - if ( *str != '\0' ) { - mp_zero( a ); - return MP_VAL; - } - /* set the sign only if a != 0 */ - if (mp_iszero(a) != 1) { + if (mp_iszero(a) != MP_YES) { a->sign = neg; } return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_read_signed_bin.c b/libtommath/bn_mp_read_signed_bin.c index 3ee8556..a4d4760 100644 --- a/libtommath/bn_mp_read_signed_bin.c +++ b/libtommath/bn_mp_read_signed_bin.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_READ_SIGNED_BIN_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* read signed bin, big endian, first byte is 0==positive or 1==negative */ @@ -35,3 +35,7 @@ int mp_read_signed_bin (mp_int * a, const unsigned char *b, int c) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_read_unsigned_bin.c b/libtommath/bn_mp_read_unsigned_bin.c index caf5be0..e8e5df8 100644 --- a/libtommath/bn_mp_read_unsigned_bin.c +++ b/libtommath/bn_mp_read_unsigned_bin.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_READ_UNSIGNED_BIN_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* reads a unsigned char array, assumes the msb is stored first [big endian] */ @@ -37,15 +37,19 @@ int mp_read_unsigned_bin (mp_int * a, const unsigned char *b, int c) } #ifndef MP_8BIT - a->dp[0] |= *b++; - a->used += 1; + a->dp[0] |= *b++; + a->used += 1; #else - a->dp[0] = (*b & MP_MASK); - a->dp[1] |= ((*b++ >> 7U) & 1); - a->used += 2; + a->dp[0] = (*b & MP_MASK); + a->dp[1] |= ((*b++ >> 7U) & 1); + a->used += 2; #endif } mp_clamp (a); return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_reduce.c b/libtommath/bn_mp_reduce.c index 4375e4e..e2c3a58 100644 --- a/libtommath/bn_mp_reduce.c +++ b/libtommath/bn_mp_reduce.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_REDUCE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,10 +12,10 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ -/* reduces x mod m, assumes 0 < x < m**2, mu is +/* reduces x mod m, assumes 0 < x < m**2, mu is * precomputed via mp_reduce_setup. * From HAC pp.604 Algorithm 14.42 */ @@ -30,10 +30,10 @@ int mp_reduce (mp_int * x, mp_int * m, mp_int * mu) } /* q1 = x / b**(k-1) */ - mp_rshd (&q, um - 1); + mp_rshd (&q, um - 1); /* according to HAC this optimization is ok */ - if (((unsigned long) um) > (((mp_digit)1) << (DIGIT_BIT - 1))) { + if (((mp_digit) um) > (((mp_digit)1) << (DIGIT_BIT - 1))) { if ((res = mp_mul (&q, mu, &q)) != MP_OKAY) { goto CLEANUP; } @@ -46,8 +46,8 @@ int mp_reduce (mp_int * x, mp_int * m, mp_int * mu) if ((res = fast_s_mp_mul_high_digs (&q, mu, &q, um)) != MP_OKAY) { goto CLEANUP; } -#else - { +#else + { res = MP_VAL; goto CLEANUP; } @@ -55,7 +55,7 @@ int mp_reduce (mp_int * x, mp_int * m, mp_int * mu) } /* q3 = q2 / b**(k+1) */ - mp_rshd (&q, um + 1); + mp_rshd (&q, um + 1); /* x = x mod b**(k+1), quick (no division) */ if ((res = mp_mod_2d (x, DIGIT_BIT * (um + 1), x)) != MP_OKAY) { @@ -87,10 +87,14 @@ int mp_reduce (mp_int * x, mp_int * m, mp_int * mu) goto CLEANUP; } } - + CLEANUP: mp_clear (&q); return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_reduce_2k.c b/libtommath/bn_mp_reduce_2k.c index 428f2ff..2876a75 100644 --- a/libtommath/bn_mp_reduce_2k.c +++ b/libtommath/bn_mp_reduce_2k.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_REDUCE_2K_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* reduces a modulo n where n is of the form 2**p - d */ @@ -20,38 +20,44 @@ int mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d) { mp_int q; int p, res; - + if ((res = mp_init(&q)) != MP_OKAY) { return res; } - - p = mp_count_bits(n); + + p = mp_count_bits(n); top: /* q = a/2**p, a = a mod 2**p */ if ((res = mp_div_2d(a, p, &q, a)) != MP_OKAY) { goto ERR; } - + if (d != 1) { /* q = q * d */ - if ((res = mp_mul_d(&q, d, &q)) != MP_OKAY) { + if ((res = mp_mul_d(&q, d, &q)) != MP_OKAY) { goto ERR; } } - + /* a = a + q */ if ((res = s_mp_add(a, &q, a)) != MP_OKAY) { goto ERR; } - + if (mp_cmp_mag(a, n) != MP_LT) { - s_mp_sub(a, n, a); + if ((res = s_mp_sub(a, n, a)) != MP_OKAY) { + goto ERR; + } goto top; } - + ERR: mp_clear(&q); return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_reduce_2k_l.c b/libtommath/bn_mp_reduce_2k_l.c index 8e52efa..3225214 100644 --- a/libtommath/bn_mp_reduce_2k_l.c +++ b/libtommath/bn_mp_reduce_2k_l.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_REDUCE_2K_L_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,10 +12,10 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ -/* reduces a modulo n where n is of the form 2**p - d +/* reduces a modulo n where n is of the form 2**p - d This differs from reduce_2k since "d" can be larger than a single digit. */ @@ -23,36 +23,42 @@ int mp_reduce_2k_l(mp_int *a, mp_int *n, mp_int *d) { mp_int q; int p, res; - + if ((res = mp_init(&q)) != MP_OKAY) { return res; } - - p = mp_count_bits(n); + + p = mp_count_bits(n); top: /* q = a/2**p, a = a mod 2**p */ if ((res = mp_div_2d(a, p, &q, a)) != MP_OKAY) { goto ERR; } - + /* q = q * d */ - if ((res = mp_mul(&q, d, &q)) != MP_OKAY) { + if ((res = mp_mul(&q, d, &q)) != MP_OKAY) { goto ERR; } - + /* a = a + q */ if ((res = s_mp_add(a, &q, a)) != MP_OKAY) { goto ERR; } - + if (mp_cmp_mag(a, n) != MP_LT) { - s_mp_sub(a, n, a); + if ((res = s_mp_sub(a, n, a)) != MP_OKAY) { + goto ERR; + } goto top; } - + ERR: mp_clear(&q); return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_reduce_2k_setup.c b/libtommath/bn_mp_reduce_2k_setup.c index ac043f6..545051e 100644 --- a/libtommath/bn_mp_reduce_2k_setup.c +++ b/libtommath/bn_mp_reduce_2k_setup.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_REDUCE_2K_SETUP_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* determines the setup value */ @@ -41,3 +41,7 @@ int mp_reduce_2k_setup(mp_int *a, mp_digit *d) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_reduce_2k_setup_l.c b/libtommath/bn_mp_reduce_2k_setup_l.c index b59a1ed..59132dd 100644 --- a/libtommath/bn_mp_reduce_2k_setup_l.c +++ b/libtommath/bn_mp_reduce_2k_setup_l.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_REDUCE_2K_SETUP_L_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* determines the setup value */ @@ -38,3 +38,7 @@ ERR: return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_reduce_is_2k.c b/libtommath/bn_mp_reduce_is_2k.c index 4655fcf..784947b 100644 --- a/libtommath/bn_mp_reduce_is_2k.c +++ b/libtommath/bn_mp_reduce_is_2k.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_REDUCE_IS_2K_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* determines if mp_reduce_2k can be used */ @@ -46,3 +46,7 @@ int mp_reduce_is_2k(mp_int *a) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_reduce_is_2k_l.c b/libtommath/bn_mp_reduce_is_2k_l.c index 7b57865..c193f39 100644 --- a/libtommath/bn_mp_reduce_is_2k_l.c +++ b/libtommath/bn_mp_reduce_is_2k_l.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_REDUCE_IS_2K_L_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* determines if reduce_2k_l can be used */ @@ -38,3 +38,7 @@ int mp_reduce_is_2k_l(mp_int *a) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_reduce_setup.c b/libtommath/bn_mp_reduce_setup.c index d8cefd9..f97eed5 100644 --- a/libtommath/bn_mp_reduce_setup.c +++ b/libtommath/bn_mp_reduce_setup.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_REDUCE_SETUP_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* pre-calculate the value required for Barrett reduction @@ -28,3 +28,7 @@ int mp_reduce_setup (mp_int * a, mp_int * b) return mp_div (a, b, a, NULL); } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_rshd.c b/libtommath/bn_mp_rshd.c index e6095b3..77b0f6c 100644 --- a/libtommath/bn_mp_rshd.c +++ b/libtommath/bn_mp_rshd.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_RSHD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* shift right a certain amount of digits */ @@ -32,7 +32,7 @@ void mp_rshd (mp_int * a, int b) } { - register mp_digit *bottom, *top; + mp_digit *bottom, *top; /* shift the digits down */ @@ -66,3 +66,7 @@ void mp_rshd (mp_int * a, int b) a->used -= b; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_set.c b/libtommath/bn_mp_set.c index c32fc42..cac48ea 100644 --- a/libtommath/bn_mp_set.c +++ b/libtommath/bn_mp_set.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SET_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* set to a digit */ @@ -23,3 +23,7 @@ void mp_set (mp_int * a, mp_digit b) a->used = (a->dp[0] != 0) ? 1 : 0; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_set_int.c b/libtommath/bn_mp_set_int.c index b0fc344..5aa59d5 100644 --- a/libtommath/bn_mp_set_int.c +++ b/libtommath/bn_mp_set_int.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SET_INT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* set a 32-bit const */ @@ -42,3 +42,7 @@ int mp_set_int (mp_int * a, unsigned long b) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_shrink.c b/libtommath/bn_mp_shrink.c index bfdf93a..1ad2ede 100644 --- a/libtommath/bn_mp_shrink.c +++ b/libtommath/bn_mp_shrink.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SHRINK_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* shrink a bignum */ @@ -21,8 +21,9 @@ int mp_shrink (mp_int * a) mp_digit *tmp; int used = 1; - if(a->used > 0) + if(a->used > 0) { used = a->used; + } if (a->alloc != used) { if ((tmp = OPT_CAST(mp_digit) XREALLOC (a->dp, sizeof (mp_digit) * used)) == NULL) { @@ -34,3 +35,7 @@ int mp_shrink (mp_int * a) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_signed_bin_size.c b/libtommath/bn_mp_signed_bin_size.c index 8f88e76..0e760a6 100644 --- a/libtommath/bn_mp_signed_bin_size.c +++ b/libtommath/bn_mp_signed_bin_size.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SIGNED_BIN_SIZE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* get the size for an signed equivalent */ @@ -21,3 +21,7 @@ int mp_signed_bin_size (mp_int * a) return 1 + mp_unsigned_bin_size (a); } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_sqr.c b/libtommath/bn_mp_sqr.c index 3938537..ad2099b 100644 --- a/libtommath/bn_mp_sqr.c +++ b/libtommath/bn_mp_sqr.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SQR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* computes b = a*a */ @@ -29,26 +29,32 @@ mp_sqr (mp_int * a, mp_int * b) } else #endif #ifdef BN_MP_KARATSUBA_SQR_C -if (a->used >= KARATSUBA_SQR_CUTOFF) { + if (a->used >= KARATSUBA_SQR_CUTOFF) { res = mp_karatsuba_sqr (a, b); } else #endif { #ifdef BN_FAST_S_MP_SQR_C /* can we use the fast comba multiplier? */ - if ((a->used * 2 + 1) < MP_WARRAY && - a->used < - (1 << (sizeof(mp_word) * CHAR_BIT - 2*DIGIT_BIT - 1))) { + if ((((a->used * 2) + 1) < MP_WARRAY) && + (a->used < + (1 << (((sizeof(mp_word) * CHAR_BIT) - (2 * DIGIT_BIT)) - 1)))) { res = fast_s_mp_sqr (a, b); } else #endif + { #ifdef BN_S_MP_SQR_C res = s_mp_sqr (a, b); #else res = MP_VAL; #endif + } } b->sign = MP_ZPOS; return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_sqrmod.c b/libtommath/bn_mp_sqrmod.c index 6f90772..2f9463d 100644 --- a/libtommath/bn_mp_sqrmod.c +++ b/libtommath/bn_mp_sqrmod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SQRMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* c = a * a (mod b) */ @@ -35,3 +35,7 @@ mp_sqrmod (mp_int * a, mp_int * b, mp_int * c) return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_sqrt.c b/libtommath/bn_mp_sqrt.c index 016b8ba..7c9d25d 100644 --- a/libtommath/bn_mp_sqrt.c +++ b/libtommath/bn_mp_sqrt.c @@ -1,5 +1,4 @@ -#include - +#include #ifdef BN_MP_SQRT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -13,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ #ifndef NO_FLOATING_POINT @@ -140,3 +139,7 @@ E2: mp_clear(&t1); } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_sub.c b/libtommath/bn_mp_sub.c index 13cb43e..0d616c2 100644 --- a/libtommath/bn_mp_sub.c +++ b/libtommath/bn_mp_sub.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SUB_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* high level subtraction (handles signs) */ @@ -53,3 +53,7 @@ mp_sub (mp_int * a, mp_int * b, mp_int * c) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_sub_d.c b/libtommath/bn_mp_sub_d.c index b1e4e3f..f5a932f 100644 --- a/libtommath/bn_mp_sub_d.c +++ b/libtommath/bn_mp_sub_d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SUB_D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* single digit subtraction */ @@ -23,7 +23,7 @@ mp_sub_d (mp_int * a, mp_digit b, mp_int * c) int res, ix, oldused; /* grow c as required */ - if (c->alloc < a->used + 1) { + if (c->alloc < (a->used + 1)) { if ((res = mp_grow(c, a->used + 1)) != MP_OKAY) { return res; } @@ -49,7 +49,7 @@ mp_sub_d (mp_int * a, mp_digit b, mp_int * c) tmpc = c->dp; /* if a <= b simply fix the single digit */ - if ((a->used == 1 && a->dp[0] <= b) || a->used == 0) { + if (((a->used == 1) && (a->dp[0] <= b)) || (a->used == 0)) { if (a->used == 1) { *tmpc++ = b - *tmpa; } else { @@ -67,13 +67,13 @@ mp_sub_d (mp_int * a, mp_digit b, mp_int * c) /* subtract first digit */ *tmpc = *tmpa++ - b; - mu = *tmpc >> (sizeof(mp_digit) * CHAR_BIT - 1); + mu = *tmpc >> ((sizeof(mp_digit) * CHAR_BIT) - 1); *tmpc++ &= MP_MASK; /* handle rest of the digits */ for (ix = 1; ix < a->used; ix++) { *tmpc = *tmpa++ - mu; - mu = *tmpc >> (sizeof(mp_digit) * CHAR_BIT - 1); + mu = *tmpc >> ((sizeof(mp_digit) * CHAR_BIT) - 1); *tmpc++ &= MP_MASK; } } @@ -87,3 +87,7 @@ mp_sub_d (mp_int * a, mp_digit b, mp_int * c) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_submod.c b/libtommath/bn_mp_submod.c index 7461678..87e0889 100644 --- a/libtommath/bn_mp_submod.c +++ b/libtommath/bn_mp_submod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SUBMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* d = a - b (mod c) */ @@ -36,3 +36,7 @@ mp_submod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_to_signed_bin.c b/libtommath/bn_mp_to_signed_bin.c index 7871921..e9289ea 100644 --- a/libtommath/bn_mp_to_signed_bin.c +++ b/libtommath/bn_mp_to_signed_bin.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_TO_SIGNED_BIN_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* store in signed [big endian] format */ @@ -23,7 +23,11 @@ int mp_to_signed_bin (mp_int * a, unsigned char *b) if ((res = mp_to_unsigned_bin (a, b + 1)) != MP_OKAY) { return res; } - b[0] = (unsigned char) ((a->sign == MP_ZPOS) ? 0 : 1); + b[0] = (a->sign == MP_ZPOS) ? (unsigned char)0 : (unsigned char)1; return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_to_signed_bin_n.c b/libtommath/bn_mp_to_signed_bin_n.c index 8da9961..d4fe6e6 100644 --- a/libtommath/bn_mp_to_signed_bin_n.c +++ b/libtommath/bn_mp_to_signed_bin_n.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_TO_SIGNED_BIN_N_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* store in signed [big endian] format */ @@ -25,3 +25,7 @@ int mp_to_signed_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) return mp_to_signed_bin(a, b); } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_to_unsigned_bin.c b/libtommath/bn_mp_to_unsigned_bin.c index 9496398..d3ef46f 100644 --- a/libtommath/bn_mp_to_unsigned_bin.c +++ b/libtommath/bn_mp_to_unsigned_bin.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_TO_UNSIGNED_BIN_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* store in unsigned [big endian] format */ @@ -26,7 +26,7 @@ int mp_to_unsigned_bin (mp_int * a, unsigned char *b) } x = 0; - while (mp_iszero (&t) == 0) { + while (mp_iszero (&t) == MP_NO) { #ifndef MP_8BIT b[x++] = (unsigned char) (t.dp[0] & 255); #else @@ -42,3 +42,7 @@ int mp_to_unsigned_bin (mp_int * a, unsigned char *b) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_to_unsigned_bin_n.c b/libtommath/bn_mp_to_unsigned_bin_n.c index 4f2a31d..2da13cc 100644 --- a/libtommath/bn_mp_to_unsigned_bin_n.c +++ b/libtommath/bn_mp_to_unsigned_bin_n.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_TO_UNSIGNED_BIN_N_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* store in unsigned [big endian] format */ @@ -25,3 +25,7 @@ int mp_to_unsigned_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) return mp_to_unsigned_bin(a, b); } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_toom_mul.c b/libtommath/bn_mp_toom_mul.c index 9daefbd..4731f8f 100644 --- a/libtommath/bn_mp_toom_mul.c +++ b/libtommath/bn_mp_toom_mul.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_TOOM_MUL_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,31 +12,31 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ -/* multiplication using the Toom-Cook 3-way algorithm +/* multiplication using the Toom-Cook 3-way algorithm * - * Much more complicated than Karatsuba but has a lower - * asymptotic running time of O(N**1.464). This algorithm is - * only particularly useful on VERY large inputs + * Much more complicated than Karatsuba but has a lower + * asymptotic running time of O(N**1.464). This algorithm is + * only particularly useful on VERY large inputs * (we're talking 1000s of digits here...). */ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) { mp_int w0, w1, w2, w3, w4, tmp1, tmp2, a0, a1, a2, b0, b1, b2; int res, B; - + /* init temps */ - if ((res = mp_init_multi(&w0, &w1, &w2, &w3, &w4, - &a0, &a1, &a2, &b0, &b1, + if ((res = mp_init_multi(&w0, &w1, &w2, &w3, &w4, + &a0, &a1, &a2, &b0, &b1, &b2, &tmp1, &tmp2, NULL)) != MP_OKAY) { return res; } - + /* B */ B = MIN(a->used, b->used) / 3; - + /* a = a2 * B**2 + a1 * B + a0 */ if ((res = mp_mod_2d(a, DIGIT_BIT * B, &a0)) != MP_OKAY) { goto ERR; @@ -46,13 +46,15 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) goto ERR; } mp_rshd(&a1, B); - mp_mod_2d(&a1, DIGIT_BIT * B, &a1); + if ((res = mp_mod_2d(&a1, DIGIT_BIT * B, &a1)) != MP_OKAY) { + goto ERR; + } if ((res = mp_copy(a, &a2)) != MP_OKAY) { goto ERR; } mp_rshd(&a2, B*2); - + /* b = b2 * B**2 + b1 * B + b0 */ if ((res = mp_mod_2d(b, DIGIT_BIT * B, &b0)) != MP_OKAY) { goto ERR; @@ -62,23 +64,23 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) goto ERR; } mp_rshd(&b1, B); - mp_mod_2d(&b1, DIGIT_BIT * B, &b1); + (void)mp_mod_2d(&b1, DIGIT_BIT * B, &b1); if ((res = mp_copy(b, &b2)) != MP_OKAY) { goto ERR; } mp_rshd(&b2, B*2); - + /* w0 = a0*b0 */ if ((res = mp_mul(&a0, &b0, &w0)) != MP_OKAY) { goto ERR; } - + /* w4 = a2 * b2 */ if ((res = mp_mul(&a2, &b2, &w4)) != MP_OKAY) { goto ERR; } - + /* w1 = (a2 + 2(a1 + 2a0))(b2 + 2(b1 + 2b0)) */ if ((res = mp_mul_2(&a0, &tmp1)) != MP_OKAY) { goto ERR; @@ -92,7 +94,7 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) if ((res = mp_add(&tmp1, &a2, &tmp1)) != MP_OKAY) { goto ERR; } - + if ((res = mp_mul_2(&b0, &tmp2)) != MP_OKAY) { goto ERR; } @@ -105,11 +107,11 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) if ((res = mp_add(&tmp2, &b2, &tmp2)) != MP_OKAY) { goto ERR; } - + if ((res = mp_mul(&tmp1, &tmp2, &w1)) != MP_OKAY) { goto ERR; } - + /* w3 = (a0 + 2(a1 + 2a2))(b0 + 2(b1 + 2b2)) */ if ((res = mp_mul_2(&a2, &tmp1)) != MP_OKAY) { goto ERR; @@ -123,7 +125,7 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { goto ERR; } - + if ((res = mp_mul_2(&b2, &tmp2)) != MP_OKAY) { goto ERR; } @@ -136,11 +138,11 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) if ((res = mp_add(&tmp2, &b0, &tmp2)) != MP_OKAY) { goto ERR; } - + if ((res = mp_mul(&tmp1, &tmp2, &w3)) != MP_OKAY) { goto ERR; } - + /* w2 = (a2 + a1 + a0)(b2 + b1 + b0) */ if ((res = mp_add(&a2, &a1, &tmp1)) != MP_OKAY) { @@ -158,123 +160,127 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) if ((res = mp_mul(&tmp1, &tmp2, &w2)) != MP_OKAY) { goto ERR; } - - /* now solve the matrix - + + /* now solve the matrix + 0 0 0 0 1 1 2 4 8 16 1 1 1 1 1 16 8 4 2 1 1 0 0 0 0 - - using 12 subtractions, 4 shifts, - 2 small divisions and 1 small multiplication + + using 12 subtractions, 4 shifts, + 2 small divisions and 1 small multiplication */ - - /* r1 - r4 */ - if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r0 */ - if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/2 */ - if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3/2 */ - if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) { - goto ERR; - } - /* r2 - r0 - r4 */ - if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1 - 8r0 */ - if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - 8r4 */ - if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) { - goto ERR; - } - /* 3r2 - r1 - r3 */ - if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/3 */ - if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) { - goto ERR; - } - /* r3/3 */ - if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { - goto ERR; - } - - /* at this point shift W[n] by B*n */ - if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_add(&w0, &w1, c)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, c, c)) != MP_OKAY) { - goto ERR; - } - + + /* r1 - r4 */ + if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - r0 */ + if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) { + goto ERR; + } + /* r1/2 */ + if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3/2 */ + if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) { + goto ERR; + } + /* r2 - r0 - r4 */ + if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) { + goto ERR; + } + /* r1 - r2 */ + if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - r2 */ + if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { + goto ERR; + } + /* r1 - 8r0 */ + if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - 8r4 */ + if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) { + goto ERR; + } + /* 3r2 - r1 - r3 */ + if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) { + goto ERR; + } + /* r1 - r2 */ + if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - r2 */ + if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { + goto ERR; + } + /* r1/3 */ + if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) { + goto ERR; + } + /* r3/3 */ + if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { + goto ERR; + } + + /* at this point shift W[n] by B*n */ + if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { + goto ERR; + } + + if ((res = mp_add(&w0, &w1, c)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&tmp1, c, c)) != MP_OKAY) { + goto ERR; + } + ERR: - mp_clear_multi(&w0, &w1, &w2, &w3, &w4, - &a0, &a1, &a2, &b0, &b1, - &b2, &tmp1, &tmp2, NULL); - return res; -} - + mp_clear_multi(&w0, &w1, &w2, &w3, &w4, + &a0, &a1, &a2, &b0, &b1, + &b2, &tmp1, &tmp2, NULL); + return res; +} + #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_toom_sqr.c b/libtommath/bn_mp_toom_sqr.c index 9e3f79c..69b69d4 100644 --- a/libtommath/bn_mp_toom_sqr.c +++ b/libtommath/bn_mp_toom_sqr.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_TOOM_SQR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* squaring using Toom-Cook 3-way algorithm */ @@ -39,7 +39,9 @@ mp_toom_sqr(mp_int *a, mp_int *b) goto ERR; } mp_rshd(&a1, B); - mp_mod_2d(&a1, DIGIT_BIT * B, &a1); + if ((res = mp_mod_2d(&a1, DIGIT_BIT * B, &a1)) != MP_OKAY) { + goto ERR; + } if ((res = mp_copy(a, &a2)) != MP_OKAY) { goto ERR; @@ -115,108 +117,112 @@ mp_toom_sqr(mp_int *a, mp_int *b) using 12 subtractions, 4 shifts, 2 small divisions and 1 small multiplication. */ - /* r1 - r4 */ - if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r0 */ - if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/2 */ - if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3/2 */ - if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) { - goto ERR; - } - /* r2 - r0 - r4 */ - if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1 - 8r0 */ - if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - 8r4 */ - if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) { - goto ERR; - } - /* 3r2 - r1 - r3 */ - if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/3 */ - if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) { - goto ERR; - } - /* r3/3 */ - if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { - goto ERR; - } - - /* at this point shift W[n] by B*n */ - if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_add(&w0, &w1, b)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, b, b)) != MP_OKAY) { - goto ERR; - } + /* r1 - r4 */ + if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - r0 */ + if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) { + goto ERR; + } + /* r1/2 */ + if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3/2 */ + if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) { + goto ERR; + } + /* r2 - r0 - r4 */ + if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) { + goto ERR; + } + /* r1 - r2 */ + if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - r2 */ + if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { + goto ERR; + } + /* r1 - 8r0 */ + if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - 8r4 */ + if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) { + goto ERR; + } + /* 3r2 - r1 - r3 */ + if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) { + goto ERR; + } + /* r1 - r2 */ + if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - r2 */ + if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { + goto ERR; + } + /* r1/3 */ + if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) { + goto ERR; + } + /* r3/3 */ + if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { + goto ERR; + } + + /* at this point shift W[n] by B*n */ + if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { + goto ERR; + } + + if ((res = mp_add(&w0, &w1, b)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&tmp1, b, b)) != MP_OKAY) { + goto ERR; + } ERR: - mp_clear_multi(&w0, &w1, &w2, &w3, &w4, &a0, &a1, &a2, &tmp1, NULL); - return res; + mp_clear_multi(&w0, &w1, &w2, &w3, &w4, &a0, &a1, &a2, &tmp1, NULL); + return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_toradix.c b/libtommath/bn_mp_toradix.c index 132743e..f04352d 100644 --- a/libtommath/bn_mp_toradix.c +++ b/libtommath/bn_mp_toradix.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_TORADIX_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* stores a bignum as a ASCII string in a given radix (2..64) */ @@ -24,12 +24,12 @@ int mp_toradix (mp_int * a, char *str, int radix) char *_s = str; /* check range of the radix */ - if (radix < 2 || radix > 64) { + if ((radix < 2) || (radix > 64)) { return MP_VAL; } /* quick out if its zero */ - if (mp_iszero(a) == 1) { + if (mp_iszero(a) == MP_YES) { *str++ = '0'; *str = '\0'; return MP_OKAY; @@ -47,7 +47,7 @@ int mp_toradix (mp_int * a, char *str, int radix) } digs = 0; - while (mp_iszero (&t) == 0) { + while (mp_iszero (&t) == MP_NO) { if ((res = mp_div_d (&t, (mp_digit) radix, &t, &d)) != MP_OKAY) { mp_clear (&t); return res; @@ -69,3 +69,7 @@ int mp_toradix (mp_int * a, char *str, int radix) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_toradix_n.c b/libtommath/bn_mp_toradix_n.c index dedce71..19b61d7 100644 --- a/libtommath/bn_mp_toradix_n.c +++ b/libtommath/bn_mp_toradix_n.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_TORADIX_N_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* stores a bignum as a ASCII string in a given radix (2..64) @@ -27,7 +27,7 @@ int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen) char *_s = str; /* check range of the maxlen, radix */ - if (maxlen < 2 || radix < 2 || radix > 64) { + if ((maxlen < 2) || (radix < 2) || (radix > 64)) { return MP_VAL; } @@ -56,7 +56,7 @@ int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen) } digs = 0; - while (mp_iszero (&t) == 0) { + while (mp_iszero (&t) == MP_NO) { if (--maxlen < 1) { /* no more room */ break; @@ -82,3 +82,7 @@ int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_unsigned_bin_size.c b/libtommath/bn_mp_unsigned_bin_size.c index 58c18fb..0312625 100644 --- a/libtommath/bn_mp_unsigned_bin_size.c +++ b/libtommath/bn_mp_unsigned_bin_size.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_UNSIGNED_BIN_SIZE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,13 +12,17 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* get the size for an unsigned equivalent */ int mp_unsigned_bin_size (mp_int * a) { int size = mp_count_bits (a); - return (size / 8 + ((size & 7) != 0 ? 1 : 0)); + return (size / 8) + (((size & 7) != 0) ? 1 : 0); } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_xor.c b/libtommath/bn_mp_xor.c index 432f42e..3c2ba9e 100644 --- a/libtommath/bn_mp_xor.c +++ b/libtommath/bn_mp_xor.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_XOR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* XOR two ints together */ @@ -45,3 +45,7 @@ mp_xor (mp_int * a, mp_int * b, mp_int * c) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_zero.c b/libtommath/bn_mp_zero.c index d697a60..21365ed 100644 --- a/libtommath/bn_mp_zero.c +++ b/libtommath/bn_mp_zero.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_ZERO_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* set to zero */ @@ -30,3 +30,7 @@ void mp_zero (mp_int * a) } } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_prime_tab.c b/libtommath/bn_prime_tab.c index c47c8bd..ae727a4 100644 --- a/libtommath/bn_prime_tab.c +++ b/libtommath/bn_prime_tab.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_PRIME_TAB_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ const mp_digit ltm_prime_tab[] = { 0x0002, 0x0003, 0x0005, 0x0007, 0x000B, 0x000D, 0x0011, 0x0013, @@ -55,3 +55,7 @@ const mp_digit ltm_prime_tab[] = { #endif }; #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_reverse.c b/libtommath/bn_reverse.c index 9d7fd29..fc6eb2d 100644 --- a/libtommath/bn_reverse.c +++ b/libtommath/bn_reverse.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_REVERSE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* reverse an array, used for radix code */ @@ -33,3 +33,7 @@ bn_reverse (unsigned char *s, int len) } } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_s_mp_add.c b/libtommath/bn_s_mp_add.c index 7527bf8..c2ad649 100644 --- a/libtommath/bn_s_mp_add.c +++ b/libtommath/bn_s_mp_add.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_S_MP_ADD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* low level addition, based on HAC pp.594, Algorithm 14.7 */ @@ -36,7 +36,7 @@ s_mp_add (mp_int * a, mp_int * b, mp_int * c) } /* init result */ - if (c->alloc < max + 1) { + if (c->alloc < (max + 1)) { if ((res = mp_grow (c, max + 1)) != MP_OKAY) { return res; } @@ -47,8 +47,8 @@ s_mp_add (mp_int * a, mp_int * b, mp_int * c) c->used = max + 1; { - register mp_digit u, *tmpa, *tmpb, *tmpc; - register int i; + mp_digit u, *tmpa, *tmpb, *tmpc; + int i; /* alias for digit pointers */ @@ -103,3 +103,7 @@ s_mp_add (mp_int * a, mp_int * b, mp_int * c) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_s_mp_exptmod.c b/libtommath/bn_s_mp_exptmod.c index ff6bd54..63e1b1e 100644 --- a/libtommath/bn_s_mp_exptmod.c +++ b/libtommath/bn_s_mp_exptmod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_S_MP_EXPTMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ #ifdef MP_LOW_MEM #define TAB_SIZE 32 @@ -164,12 +164,12 @@ int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) * in the exponent. Technically this opt is not required but it * does lower the # of trivial squaring/reductions used */ - if (mode == 0 && y == 0) { + if ((mode == 0) && (y == 0)) { continue; } /* if the bit is zero and mode == 1 then we square */ - if (mode == 1 && y == 0) { + if ((mode == 1) && (y == 0)) { if ((err = mp_sqr (&res, &res)) != MP_OKAY) { goto LBL_RES; } @@ -211,7 +211,7 @@ int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) } /* if bits remain then square/multiply */ - if (mode == 2 && bitcpy > 0) { + if ((mode == 2) && (bitcpy > 0)) { /* square then multiply if the bit is set */ for (x = 0; x < bitcpy; x++) { if ((err = mp_sqr (&res, &res)) != MP_OKAY) { @@ -246,3 +246,7 @@ LBL_M: return err; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_s_mp_mul_digs.c b/libtommath/bn_s_mp_mul_digs.c index 401f32e..bd8553d 100644 --- a/libtommath/bn_s_mp_mul_digs.c +++ b/libtommath/bn_s_mp_mul_digs.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_S_MP_MUL_DIGS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* multiplies |a| * |b| and only computes upto digs digits of result @@ -29,8 +29,8 @@ int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) /* can we use the fast multiplier? */ if (((digs) < MP_WARRAY) && - MIN (a->used, b->used) < - (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { + (MIN (a->used, b->used) < + (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) { return fast_s_mp_mul_digs (a, b, c, digs); } @@ -61,9 +61,9 @@ int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) /* compute the columns of the output and propagate the carry */ for (iy = 0; iy < pb; iy++) { /* compute the column as a mp_word */ - r = ((mp_word)*tmpt) + - ((mp_word)tmpx) * ((mp_word)*tmpy++) + - ((mp_word) u); + r = (mp_word)*tmpt + + ((mp_word)tmpx * (mp_word)*tmpy++) + + (mp_word)u; /* the new column is the lower part of the result */ *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); @@ -72,7 +72,7 @@ int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) u = (mp_digit) (r >> ((mp_word) DIGIT_BIT)); } /* set carry if it is placed below digs */ - if (ix + iy < digs) { + if ((ix + iy) < digs) { *tmpt = u; } } @@ -84,3 +84,7 @@ int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_s_mp_mul_high_digs.c b/libtommath/bn_s_mp_mul_high_digs.c index f4dca76..153cea44 100644 --- a/libtommath/bn_s_mp_mul_high_digs.c +++ b/libtommath/bn_s_mp_mul_high_digs.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_S_MP_MUL_HIGH_DIGS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* multiplies |a| * |b| and does not compute the lower digs digits @@ -30,7 +30,7 @@ s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) /* can we use the fast multiplier? */ #ifdef BN_FAST_S_MP_MUL_HIGH_DIGS_C if (((a->used + b->used + 1) < MP_WARRAY) - && MIN (a->used, b->used) < (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { + && (MIN (a->used, b->used) < (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) { return fast_s_mp_mul_high_digs (a, b, c, digs); } #endif @@ -57,9 +57,9 @@ s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) for (iy = digs - ix; iy < pb; iy++) { /* calculate the double precision result */ - r = ((mp_word)*tmpt) + - ((mp_word)tmpx) * ((mp_word)*tmpy++) + - ((mp_word) u); + r = (mp_word)*tmpt + + ((mp_word)tmpx * (mp_word)*tmpy++) + + (mp_word)u; /* get the lower part */ *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); @@ -75,3 +75,7 @@ s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_s_mp_sqr.c b/libtommath/bn_s_mp_sqr.c index 464663f..68c95bc 100644 --- a/libtommath/bn_s_mp_sqr.c +++ b/libtommath/bn_s_mp_sqr.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_S_MP_SQR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* low level squaring, b = a*a, HAC pp.596-597, Algorithm 14.16 */ @@ -24,18 +24,18 @@ int s_mp_sqr (mp_int * a, mp_int * b) mp_digit u, tmpx, *tmpt; pa = a->used; - if ((res = mp_init_size (&t, 2*pa + 1)) != MP_OKAY) { + if ((res = mp_init_size (&t, (2 * pa) + 1)) != MP_OKAY) { return res; } /* default used is maximum possible size */ - t.used = 2*pa + 1; + t.used = (2 * pa) + 1; for (ix = 0; ix < pa; ix++) { /* first calculate the digit at 2*ix */ /* calculate double precision result */ - r = ((mp_word) t.dp[2*ix]) + - ((mp_word)a->dp[ix])*((mp_word)a->dp[ix]); + r = (mp_word)t.dp[2*ix] + + ((mp_word)a->dp[ix] * (mp_word)a->dp[ix]); /* store lower part in result */ t.dp[ix+ix] = (mp_digit) (r & ((mp_word) MP_MASK)); @@ -47,7 +47,7 @@ int s_mp_sqr (mp_int * a, mp_int * b) tmpx = a->dp[ix]; /* alias for where to store the results */ - tmpt = t.dp + (2*ix + 1); + tmpt = t.dp + ((2 * ix) + 1); for (iy = ix + 1; iy < pa; iy++) { /* first calculate the product */ @@ -78,3 +78,7 @@ int s_mp_sqr (mp_int * a, mp_int * b) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_s_mp_sub.c b/libtommath/bn_s_mp_sub.c index 328c9e5..c0ea556 100644 --- a/libtommath/bn_s_mp_sub.c +++ b/libtommath/bn_s_mp_sub.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_S_MP_SUB_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* low level subtraction (assumes |a| > |b|), HAC pp.595 Algorithm 14.9 */ @@ -35,8 +35,8 @@ s_mp_sub (mp_int * a, mp_int * b, mp_int * c) c->used = max; { - register mp_digit u, *tmpa, *tmpb, *tmpc; - register int i; + mp_digit u, *tmpa, *tmpb, *tmpc; + int i; /* alias for digit pointers */ tmpa = a->dp; @@ -47,14 +47,14 @@ s_mp_sub (mp_int * a, mp_int * b, mp_int * c) u = 0; for (i = 0; i < min; i++) { /* T[i] = A[i] - B[i] - U */ - *tmpc = *tmpa++ - *tmpb++ - u; + *tmpc = (*tmpa++ - *tmpb++) - u; /* U = carry bit of T[i] * Note this saves performing an AND operation since * if a carry does occur it will propagate all the way to the * MSB. As a result a single shift is enough to get the carry */ - u = *tmpc >> ((mp_digit)(CHAR_BIT * sizeof (mp_digit) - 1)); + u = *tmpc >> ((mp_digit)((CHAR_BIT * sizeof(mp_digit)) - 1)); /* Clear carry from T[i] */ *tmpc++ &= MP_MASK; @@ -66,7 +66,7 @@ s_mp_sub (mp_int * a, mp_int * b, mp_int * c) *tmpc = *tmpa++ - u; /* U = carry bit of T[i] */ - u = *tmpc >> ((mp_digit)(CHAR_BIT * sizeof (mp_digit) - 1)); + u = *tmpc >> ((mp_digit)((CHAR_BIT * sizeof(mp_digit)) - 1)); /* Clear carry from T[i] */ *tmpc++ &= MP_MASK; @@ -83,3 +83,7 @@ s_mp_sub (mp_int * a, mp_int * b, mp_int * c) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bncore.c b/libtommath/bncore.c index eb95a2e..9552714 100644 --- a/libtommath/bncore.c +++ b/libtommath/bncore.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BNCORE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* Known optimal configurations @@ -30,3 +30,7 @@ int KARATSUBA_MUL_CUTOFF = 80, /* Min. number of digits before Karatsub TOOM_MUL_CUTOFF = 350, /* no optimal values of these are known yet so set em high */ TOOM_SQR_CUTOFF = 400; #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/booker.pl b/libtommath/booker.pl index df8b30d..c2abae6 100644 --- a/libtommath/booker.pl +++ b/libtommath/booker.pl @@ -15,7 +15,7 @@ if (shift =~ /PDF/) { $graph = ""; } else { $graph = ".ps"; -} +} open(IN,"tommath.tex") or die "Can't open destination file"; @@ -26,18 +26,18 @@ $x = 0; while () { print "."; if (!(++$x % 80)) { print "\n"; } - #update the headings + #update the headings if (~($_ =~ /\*/)) { - if ($_ =~ /\\chapter{.+}/) { + if ($_ =~ /\\chapter\{.+}/) { ++$chapter; $section = $subsection = 0; - } elsif ($_ =~ /\\section{.+}/) { + } elsif ($_ =~ /\\section\{.+}/) { ++$section; $subsection = 0; - } elsif ($_ =~ /\\subsection{.+}/) { + } elsif ($_ =~ /\\subsection\{.+}/) { ++$subsection; } - } + } if ($_ =~ m/MARK/) { @m = split(",",$_); @@ -56,7 +56,7 @@ $srcline = 0; while () { ++$readline; ++$srcline; - + if ($_ =~ m/MARK/) { } elsif ($_ =~ m/EXAM/ || $_ =~ m/LIST/) { if ($_ =~ m/EXAM/) { @@ -64,29 +64,29 @@ while () { } else { $skipheader = 0; } - + # EXAM,file chomp($_); @m = split(",",$_); open(SRC,"<$m[1]") or die "Error:$srcline:Can't open source file $m[1]"; - + print "$srcline:Inserting $m[1]:"; - + $line = 0; $tmp = $m[1]; $tmp =~ s/_/"\\_"/ge; print OUT "\\vspace{+3mm}\\begin{small}\n\\hspace{-5.1mm}{\\bf File}: $tmp\n\\vspace{-3mm}\n\\begin{alltt}\n"; $wroteline += 5; - + if ($skipheader == 1) { - # scan till next end of comment, e.g. skip license + # scan till next end of comment, e.g. skip license while () { $text[$line++] = $_; - last if ($_ =~ /math\.libtomcrypt\.org/); + last if ($_ =~ /libtom\.org/); } - ; + ; } - + $inline = 0; while () { next if ($_ =~ /\$Source/); @@ -100,11 +100,11 @@ while () { $_ =~ s/}/"^}"/ge; $_ =~ s/\\/'\symbol{92}'/ge; $_ =~ s/\^/"\\"/ge; - + printf OUT ("%03d ", $line); for ($x = 0; $x < length($_); $x++) { print OUT chr(vec($_, $x, 8)); - if ($x == 75) { + if ($x == 75) { print OUT "\n "; ++$wroteline; } @@ -123,9 +123,9 @@ while () { $txt = $_; while ($txt =~ m/@\d+,.+@/) { @m = split("@",$txt); # splits into text, one, two - @parms = split(",",$m[1]); # splits one,two into two elements - - # now search from $parms[0] down for $parms[1] + @parms = split(",",$m[1]); # splits one,two into two elements + + # now search from $parms[0] down for $parms[1] $found1 = 0; $found2 = 0; for ($i = $parms[0]; $i < $totlines && $found1 == 0; $i++) { @@ -134,7 +134,7 @@ while () { $found1 = 1; } } - + # now search backwards for ($i = $parms[0] - 1; $i >= 0 && $found2 == 0; $i--) { if ($text[$i] =~ m/\Q$parms[1]\E/) { @@ -142,7 +142,7 @@ while () { $found2 = 1; } } - + # now use the closest match or the first if tied if ($found1 == 1 && $found2 == 0) { $found = 1; @@ -160,8 +160,8 @@ while () { } else { $found = 0; } - - # if found replace + + # if found replace if ($found == 1) { $delta = $parms[0] - $foundline; print "Found replacement tag for \"$parms[1]\" on line $srcline which refers to line $foundline (delta $delta)\n"; @@ -169,8 +169,8 @@ while () { } else { print "ERROR: The tag \"$parms[1]\" on line $srcline was not found in the most recently parsed source!\n"; } - - # remake the rest of the line + + # remake the rest of the line $cnt = @m; $txt = ""; for ($i = 2; $i < $cnt; $i++) { @@ -184,13 +184,13 @@ while () { $txt = $_; while ($txt =~ /~.+~/) { @m = split("~", $txt); - + # word is the second position $word = @m[1]; $a = $index1{$word}; $b = $index2{$word}; $c = $index3{$word}; - + # if chapter (a) is zero it wasn't found if ($a == 0) { print "ERROR: the tag \"$word\" on line $srcline was not found previously marked.\n"; @@ -199,7 +199,7 @@ while () { $str = $a; $str = $str . ".$b" if ($b != 0); $str = $str . ".$c" if ($c != 0); - + if ($b == 0 && $c == 0) { # its a chapter if ($a <= 10) { @@ -228,16 +228,16 @@ while () { $str = "chapter " . $str; } } else { - $str = "section " . $str if ($b != 0 && $c == 0); + $str = "section " . $str if ($b != 0 && $c == 0); $str = "sub-section " . $str if ($b != 0 && $c != 0); } - + #substitute $_ =~ s/~\Q$word\E~/$str/; - + print "Found replacement tag for marker \"$word\" on line $srcline which refers to $str\n"; } - + # remake rest of the line $cnt = @m; $txt = ""; @@ -263,3 +263,5 @@ print "Read $readline lines, wrote $wroteline lines\n"; close (OUT); close (IN); + +system('perl -pli -e "s/\s*$//" tommath.tex'); diff --git a/libtommath/callgraph.txt b/libtommath/callgraph.txt index 2efcf24..e98a910 100644 --- a/libtommath/callgraph.txt +++ b/libtommath/callgraph.txt @@ -1,402 +1,132 @@ -BN_PRIME_TAB_C - - -BN_MP_SQRT_C -+--->BN_MP_N_ROOT_C -| +--->BN_MP_INIT_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_EXPT_D_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_KARATSUBA_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_FAST_S_MP_SQR_C +BN_MP_KARATSUBA_MUL_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_KARATSUBA_MUL_C -| | | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_DIV_3_C | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_CLEAR_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C +| | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_D_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C +| +--->BN_S_MP_MUL_DIGS_C | | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CMP_C -| | +--->BN_MP_CMP_MAG_C -| +--->BN_MP_SUB_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_ZERO_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_RSHD_C -+--->BN_MP_DIV_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_SET_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_ABS_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_MULTI_C | | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C ++--->BN_MP_CLAMP_C ++--->BN_S_MP_ADD_C +| +--->BN_MP_GROW_C +--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C | +--->BN_MP_CMP_MAG_C | +--->BN_S_MP_SUB_C | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_2_C ++--->BN_S_MP_SUB_C | +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C -+--->BN_MP_EXCH_C ++--->BN_MP_LSHD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +--->BN_MP_CLEAR_C -BN_MP_CMP_D_C +BN_MP_ZERO_C -BN_MP_EXCH_C +BN_MP_SET_C ++--->BN_MP_ZERO_C -BN_MP_IS_SQUARE_C -+--->BN_MP_MOD_D_C -| +--->BN_MP_DIV_D_C +BN_MP_TO_SIGNED_BIN_C ++--->BN_MP_TO_UNSIGNED_BIN_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_INIT_SET_INT_C -| +--->BN_MP_INIT_C -| +--->BN_MP_SET_INT_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C + + +BN_S_MP_SUB_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C + + +BN_MP_JACOBI_C ++--->BN_MP_CMP_D_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_CNT_LSB_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +--->BN_MP_MOD_C -| +--->BN_MP_INIT_C | +--->BN_MP_DIV_C | | +--->BN_MP_CMP_MAG_C | | +--->BN_MP_COPY_C @@ -427,18 +157,10 @@ BN_MP_IS_SQUARE_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C | | +--->BN_MP_EXCH_C | | +--->BN_MP_CLEAR_MULTI_C | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C | | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C @@ -449,6 +171,7 @@ BN_MP_IS_SQUARE_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_CLEAR_C | +--->BN_MP_CLEAR_C +| +--->BN_MP_EXCH_C | +--->BN_MP_ADD_C | | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C @@ -457,362 +180,180 @@ BN_MP_IS_SQUARE_C | | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C + + +BN_MP_INIT_COPY_C ++--->BN_MP_INIT_SIZE_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C + + +BN_MP_ABS_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C + + +BN_MP_RADIX_SMAP_C + + +BN_MP_EXCH_C + + +BN_MP_EXPORT_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C | +--->BN_MP_EXCH_C -+--->BN_MP_GET_INT_C -+--->BN_MP_SQRT_C -| +--->BN_MP_N_ROOT_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C ++--->BN_MP_CLEAR_C + + +BN_MP_TO_UNSIGNED_BIN_N_C ++--->BN_MP_UNSIGNED_BIN_SIZE_C +| +--->BN_MP_COUNT_BITS_C ++--->BN_MP_TO_UNSIGNED_BIN_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_EXPT_D_C -| | | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_FAST_S_MP_SQR_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_ABS_C -| | | +--->BN_MP_MUL_2D_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C + + +BN_MP_TO_SIGNED_BIN_N_C ++--->BN_MP_SIGNED_BIN_SIZE_C +| +--->BN_MP_UNSIGNED_BIN_SIZE_C +| | +--->BN_MP_COUNT_BITS_C ++--->BN_MP_TO_SIGNED_BIN_C +| +--->BN_MP_TO_UNSIGNED_BIN_C +| | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_SUB_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_D_C -| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C | | +--->BN_MP_CLEAR_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_INIT_COPY_C + + +BN_MP_LCM_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_GCD_C +| +--->BN_MP_ABS_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C +| +--->BN_MP_CNT_LSB_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_MP_EXCH_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_CMP_MAG_C ++--->BN_MP_DIV_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_SET_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C | +--->BN_MP_ADD_C | | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C | | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2_C -| | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_EXCH_C | +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_INIT_C +| +--->BN_MP_INIT_COPY_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C | +--->BN_MP_CLEAR_C -+--->BN_MP_SQR_C -| +--->BN_MP_TOOM_SQR_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLEAR_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C | | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_COPY_C @@ -828,7 +369,6 @@ BN_MP_IS_SQUARE_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -836,7 +376,6 @@ BN_MP_IS_SQUARE_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -860,802 +399,471 @@ BN_MP_IS_SQUARE_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_CLEAR_MULTI_C | | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_SQR_C +| +--->BN_MP_KARATSUBA_MUL_C | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_ADD_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_ADD_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C | | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_SQR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SQR_C +| +--->BN_S_MP_MUL_DIGS_C | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C | | +--->BN_MP_CLEAR_C -+--->BN_MP_CMP_MAG_C -+--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C -BN_MP_NEG_C +BN_MP_CMP_MAG_C + + +BN_MP_PRIME_RABIN_MILLER_TRIALS_C + + +BN_MP_MUL_2D_C +--->BN_MP_COPY_C | +--->BN_MP_GROW_C ++--->BN_MP_GROW_C ++--->BN_MP_LSHD_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C ++--->BN_MP_CLAMP_C -BN_MP_EXPTMOD_C -+--->BN_MP_INIT_C -+--->BN_MP_INVMOD_C -| +--->BN_FAST_MP_INVMOD_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C +BN_MP_MUL_C ++--->BN_MP_TOOM_MUL_C +| +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_ZERO_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_DIV_2_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_2_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_CMP_D_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_INVMOD_SLOW_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_COPY_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_CMP_D_C | | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_2_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_3_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C -+--->BN_MP_ABS_C -| +--->BN_MP_COPY_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_LSHD_C | | +--->BN_MP_GROW_C -+--->BN_MP_CLEAR_MULTI_C -+--->BN_MP_REDUCE_IS_2K_L_C -+--->BN_S_MP_EXPTMOD_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_REDUCE_SETUP_C -| | +--->BN_MP_2EXPT_C -| | | +--->BN_MP_ZERO_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_KARATSUBA_MUL_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ADD_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_REDUCE_C -| | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C | | +--->BN_MP_RSHD_C | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CLEAR_C ++--->BN_FAST_S_MP_MUL_DIGS_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_S_MP_MUL_DIGS_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C + + +BN_MP_SQR_C ++--->BN_MP_TOOM_SQR_C +| +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_2_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_D_C -| | +--->BN_MP_SET_C +| +--->BN_MP_DIV_2_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_3_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_KARATSUBA_SQR_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C | | | +--->BN_MP_ZERO_C +| +--->BN_MP_ADD_C +| | +--->BN_MP_CMP_MAG_C +| +--->BN_MP_CLEAR_C ++--->BN_FAST_S_MP_SQR_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_S_MP_SQR_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C + + +BN_MP_INIT_C + + +BN_MP_2EXPT_C ++--->BN_MP_ZERO_C ++--->BN_MP_GROW_C + + +BN_MP_SIGNED_BIN_SIZE_C ++--->BN_MP_UNSIGNED_BIN_SIZE_C +| +--->BN_MP_COUNT_BITS_C + + +BN_MP_OR_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_MOD_C ++--->BN_MP_INIT_C ++--->BN_MP_DIV_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_SET_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_CLAMP_C | | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_REDUCE_2K_SETUP_L_C -| | +--->BN_MP_2EXPT_C -| | | +--->BN_MP_ZERO_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C | | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_REDUCE_2K_L_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_MOD_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_COPY_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C ++--->BN_MP_EXCH_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C + + +BN_MP_DIV_C ++--->BN_MP_CMP_MAG_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_ZERO_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_SET_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_ABS_C ++--->BN_MP_MUL_2D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_INIT_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C ++--->BN_MP_INIT_C ++--->BN_MP_INIT_COPY_C ++--->BN_MP_LSHD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C ++--->BN_MP_RSHD_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C + + +BN_MP_INIT_SET_C ++--->BN_MP_INIT_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C + + +BN_MP_PRIME_IS_PRIME_C ++--->BN_MP_CMP_D_C ++--->BN_MP_PRIME_IS_DIVISIBLE_C +| +--->BN_MP_MOD_D_C +| | +--->BN_MP_DIV_D_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_C | | | | +--->BN_MP_MOD_2D_C | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_SQR_C -| | +--->BN_MP_TOOM_SQR_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_DIV_3_C | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_C | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_CLEAR_C | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | +--->BN_FAST_S_MP_SQR_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_PRIME_MILLER_RABIN_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C +| +--->BN_MP_SUB_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_D_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_KARATSUBA_MUL_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CNT_LSB_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_SET_C | | +--->BN_MP_ZERO_C -| +--->BN_MP_EXCH_C -+--->BN_MP_DR_IS_MODULUS_C -+--->BN_MP_REDUCE_IS_2K_C -| +--->BN_MP_REDUCE_2K_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C +| | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_COUNT_BITS_C -+--->BN_MP_EXPTMOD_FAST_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_MONTGOMERY_SETUP_C -| +--->BN_FAST_MP_MONTGOMERY_REDUCE_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| +--->BN_MP_MONTGOMERY_REDUCE_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| +--->BN_MP_DR_SETUP_C -| +--->BN_MP_DR_REDUCE_C -| | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| +--->BN_MP_REDUCE_2K_SETUP_C -| | +--->BN_MP_2EXPT_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_REDUCE_2K_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| | +--->BN_MP_2EXPT_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_MULMOD_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_EXPTMOD_C +| | +--->BN_MP_INVMOD_C +| | | +--->BN_FAST_MP_INVMOD_C | | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_COPY_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | +--->BN_MP_ABS_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C @@ -1663,7 +871,9 @@ BN_MP_EXPTMOD_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C +| | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C @@ -1671,178 +881,515 @@ BN_MP_EXPTMOD_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_INVMOD_SLOW_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | +--->BN_MP_ABS_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_ABS_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_REDUCE_IS_2K_L_C +| | +--->BN_S_MP_EXPTMOD_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_REDUCE_SETUP_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C +| | | +--->BN_MP_REDUCE_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_REDUCE_2K_SETUP_L_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_REDUCE_2K_L_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_FAST_S_MP_SQR_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_SQR_C -| | +--->BN_MP_TOOM_SQR_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DR_IS_MODULUS_C +| | +--->BN_MP_REDUCE_IS_2K_C +| | | +--->BN_MP_REDUCE_2K_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_MUL_D_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C @@ -1850,243 +1397,180 @@ BN_MP_EXPTMOD_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_EXPTMOD_FAST_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_MONTGOMERY_SETUP_C +| | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_KARATSUBA_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_MONTGOMERY_REDUCE_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_RSHD_C | | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_ADD_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | +--->BN_FAST_S_MP_SQR_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_DR_SETUP_C +| | | +--->BN_MP_DR_REDUCE_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_REDUCE_2K_SETUP_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_REDUCE_2K_C +| | | | +--->BN_MP_MUL_D_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_KARATSUBA_MUL_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MUL_2_C | | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_EXCH_C - - -BN_MP_OR_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_ZERO_C - - -BN_MP_GROW_C - - -BN_MP_COUNT_BITS_C - - -BN_MP_PRIME_FERMAT_C -+--->BN_MP_CMP_D_C -+--->BN_MP_INIT_C -+--->BN_MP_EXPTMOD_C -| +--->BN_MP_INVMOD_C -| | +--->BN_FAST_MP_INVMOD_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_ABS_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MULMOD_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_MUL_2D_C | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_MUL_D_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2D_C -| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_COPY_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_SET_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INVMOD_SLOW_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_MOD_C | | | | +--->BN_MP_DIV_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_MP_COPY_C | | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_INIT_MULTI_C | | | | | +--->BN_MP_MUL_2D_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_LSHD_C @@ -2107,18 +1591,8 @@ BN_MP_PRIME_FERMAT_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2D_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_COPY_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C @@ -2127,8 +1601,7 @@ BN_MP_PRIME_FERMAT_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C @@ -2137,108 +1610,16 @@ BN_MP_PRIME_FERMAT_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SET_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_ABS_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_REDUCE_IS_2K_L_C -| +--->BN_S_MP_EXPTMOD_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_REDUCE_SETUP_C -| | | +--->BN_MP_2EXPT_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_REDUCE_C -| | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C | | | | | +--->BN_MP_INIT_MULTI_C | | | | | +--->BN_MP_MOD_2D_C | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_MUL_2_C | | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_ADD_C @@ -2273,104 +1654,32 @@ BN_MP_PRIME_FERMAT_C | | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_KARATSUBA_SQR_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_FAST_S_MP_SQR_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_S_MP_SQR_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C -| | | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SET_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_REDUCE_2K_SETUP_L_C -| | | +--->BN_MP_2EXPT_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_REDUCE_2K_L_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_MUL_C | | | | +--->BN_MP_TOOM_MUL_C | | | | | +--->BN_MP_INIT_MULTI_C | | | | | +--->BN_MP_MOD_2D_C | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_MUL_2_C @@ -2410,18 +1719,14 @@ BN_MP_PRIME_FERMAT_C | | | | +--->BN_MP_KARATSUBA_MUL_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C @@ -2433,75 +1738,21 @@ BN_MP_PRIME_FERMAT_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C +| +--->BN_MP_CMP_C +| | +--->BN_MP_CMP_MAG_C +| +--->BN_MP_SQRMOD_C | | +--->BN_MP_SQR_C | | | +--->BN_MP_TOOM_SQR_C | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_MOD_2D_C | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_RSHD_C | | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_MUL_2_C @@ -2536,27 +1787,25 @@ BN_MP_PRIME_FERMAT_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C | | | +--->BN_MP_KARATSUBA_SQR_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_C | | | +--->BN_FAST_S_MP_SQR_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -2564,174 +1813,169 @@ BN_MP_PRIME_FERMAT_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C +| | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_MUL_D_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_DR_IS_MODULUS_C -| +--->BN_MP_REDUCE_IS_2K_C -| | +--->BN_MP_REDUCE_2K_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MOD_2D_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_EXPTMOD_FAST_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_MONTGOMERY_SETUP_C -| | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | +--->BN_MP_MONTGOMERY_REDUCE_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C + + +BN_FAST_S_MP_SQR_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C + + +BN_MP_UNSIGNED_BIN_SIZE_C ++--->BN_MP_COUNT_BITS_C + + +BN_MP_INIT_SIZE_C ++--->BN_MP_INIT_C + + +BN_FAST_S_MP_MUL_DIGS_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C + + +BN_MP_REDUCE_IS_2K_L_C + + +BN_MP_REDUCE_IS_2K_C ++--->BN_MP_REDUCE_2K_C +| +--->BN_MP_INIT_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | +--->BN_MP_DR_SETUP_C -| | +--->BN_MP_DR_REDUCE_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_COUNT_BITS_C + + +BN_MP_SUB_C ++--->BN_S_MP_ADD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C + + +BN_MP_REDUCE_2K_SETUP_C ++--->BN_MP_INIT_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_2EXPT_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_GROW_C ++--->BN_MP_CLEAR_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C + + +BN_MP_DIV_2D_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_ZERO_C ++--->BN_MP_INIT_C ++--->BN_MP_MOD_2D_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C ++--->BN_MP_RSHD_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C + + +BN_MP_DR_REDUCE_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C + + +BN_MP_SQRT_C ++--->BN_MP_N_ROOT_C +| +--->BN_MP_N_ROOT_EX_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | +--->BN_MP_REDUCE_2K_SETUP_C -| | | +--->BN_MP_2EXPT_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_REDUCE_2K_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| | | +--->BN_MP_2EXPT_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SET_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MULMOD_C +| | +--->BN_MP_EXPT_D_EX_C +| | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_MUL_C | | | | +--->BN_MP_TOOM_MUL_C | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C | | | | | +--->BN_MP_MOD_2D_C | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_MUL_2_C @@ -2766,27 +2010,27 @@ BN_MP_PRIME_FERMAT_C | | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_KARATSUBA_MUL_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C @@ -2794,188 +2038,75 @@ BN_MP_PRIME_FERMAT_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C | | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_SUB_C | | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2D_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_COPY_C -| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_MUL_2D_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_MUL_D_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_FAST_S_MP_SQR_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C +| | | | +--->BN_S_MP_SQR_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | +--->BN_FAST_S_MP_SQR_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C | | +--->BN_MP_MUL_C | | | +--->BN_MP_TOOM_MUL_C | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_MOD_2D_C | | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_CLAMP_C @@ -3013,27 +2144,27 @@ BN_MP_PRIME_FERMAT_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C | | | +--->BN_MP_KARATSUBA_MUL_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLEAR_C | | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -3041,167 +2172,136 @@ BN_MP_PRIME_FERMAT_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXCH_C -+--->BN_MP_CMP_C -| +--->BN_MP_CMP_MAG_C -+--->BN_MP_CLEAR_C - - -BN_MP_SUBMOD_C -+--->BN_MP_INIT_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C -+--->BN_MP_MOD_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_SUB_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C | | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_SUB_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_ZERO_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_RSHD_C ++--->BN_MP_DIV_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_SET_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C | +--->BN_MP_ADD_C | | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C | | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C | +--->BN_MP_EXCH_C - - -BN_MP_MOD_2D_C -+--->BN_MP_ZERO_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_MP_TORADIX_N_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_LSHD_C | | +--->BN_MP_GROW_C -+--->BN_MP_DIV_D_C -| +--->BN_MP_COPY_C +| +--->BN_MP_MUL_D_C | | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_DIV_3_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C | +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C - - -BN_MP_CMP_C -+--->BN_MP_CMP_MAG_C - - -BNCORE_C - - -BN_MP_TORADIX_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_DIV_D_C -| +--->BN_MP_COPY_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C | | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_DIV_3_C -| | +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C - - -BN_MP_ADD_D_C -+--->BN_MP_GROW_C -+--->BN_MP_SUB_D_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C | +--->BN_MP_CLAMP_C -+--->BN_MP_CLAMP_C - - -BN_MP_DIV_3_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C +--->BN_MP_EXCH_C +--->BN_MP_CLEAR_C -BN_FAST_S_MP_MUL_DIGS_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_MP_SQRMOD_C +BN_MP_MULMOD_C +--->BN_MP_INIT_C -+--->BN_MP_SQR_C -| +--->BN_MP_TOOM_SQR_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C | | +--->BN_MP_INIT_MULTI_C | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_MOD_2D_C @@ -3250,30 +2350,26 @@ BN_MP_SQRMOD_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_CLEAR_MULTI_C | | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_SQR_C +| +--->BN_MP_KARATSUBA_MUL_C | | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C | | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_ADD_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_ADD_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C | | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_SQR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SQR_C +| +--->BN_S_MP_MUL_DIGS_C | | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C @@ -3327,6 +2423,7 @@ BN_MP_SQRMOD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C | | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C | +--->BN_MP_ADD_C | | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C @@ -3335,7 +2432,6 @@ BN_MP_SQRMOD_C | | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C BN_MP_INVMOD_C @@ -3395,6 +2491,7 @@ BN_MP_INVMOD_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_EXCH_C | | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C @@ -3403,7 +2500,6 @@ BN_MP_INVMOD_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C | +--->BN_MP_SET_C | | +--->BN_MP_ZERO_C | +--->BN_MP_DIV_2_C @@ -3487,6 +2583,7 @@ BN_MP_INVMOD_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_EXCH_C | | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C @@ -3495,7 +2592,6 @@ BN_MP_INVMOD_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C | +--->BN_MP_COPY_C | | +--->BN_MP_GROW_C | +--->BN_MP_SET_C @@ -3528,196 +2624,91 @@ BN_MP_INVMOD_C | | +--->BN_MP_CLEAR_C -BN_MP_AND_C +BN_MP_PRIME_MILLER_RABIN_C ++--->BN_MP_CMP_D_C +--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C | +--->BN_MP_COPY_C | | +--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_MUL_D_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_FAST_MP_INVMOD_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_COPY_C ++--->BN_MP_SUB_D_C | +--->BN_MP_GROW_C -+--->BN_MP_MOD_C -| +--->BN_MP_INIT_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_ADD_D_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_DIV_2_C -| +--->BN_MP_GROW_C | +--->BN_MP_CLAMP_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_C -| +--->BN_MP_CMP_MAG_C -+--->BN_MP_CMP_D_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C ++--->BN_MP_CNT_LSB_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C | | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C | | +--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_CLEAR_C - - -BN_MP_FWRITE_C -+--->BN_MP_RADIX_SIZE_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C | +--->BN_MP_CLEAR_C -+--->BN_MP_TORADIX_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C - - -BN_S_MP_SQR_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_N_ROOT_C -+--->BN_MP_INIT_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_EXPT_D_C -| +--->BN_MP_INIT_COPY_C -| +--->BN_MP_SQR_C -| | +--->BN_MP_TOOM_SQR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_EXPTMOD_C +| +--->BN_MP_INVMOD_C +| | +--->BN_FAST_MP_INVMOD_C | | | +--->BN_MP_INIT_MULTI_C | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SET_C | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_DIV_2_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C @@ -3725,7 +2716,9 @@ BN_MP_N_ROOT_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C +| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_ADD_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C @@ -3733,64 +2726,71 @@ BN_MP_N_ROOT_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_EXCH_C | | | +--->BN_MP_CLEAR_MULTI_C | | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_KARATSUBA_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_FAST_S_MP_SQR_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INVMOD_SLOW_C | | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SET_C | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_DIV_2_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_ADD_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C @@ -3807,69 +2807,251 @@ BN_MP_N_ROOT_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_KARATSUBA_MUL_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_C | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_ABS_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_REDUCE_IS_2K_L_C +| +--->BN_S_MP_EXPTMOD_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_REDUCE_SETUP_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_REDUCE_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SET_C +| | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_REDUCE_2K_SETUP_L_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_GROW_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C +| | +--->BN_MP_REDUCE_2K_L_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -3877,276 +3059,268 @@ BN_MP_N_ROOT_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_FAST_S_MP_SQR_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_DR_IS_MODULUS_C +| +--->BN_MP_REDUCE_IS_2K_C +| | +--->BN_MP_REDUCE_2K_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_EXPTMOD_FAST_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_MONTGOMERY_SETUP_C +| | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_ABS_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | +--->BN_MP_MONTGOMERY_REDUCE_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_COPY_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CMP_C -| +--->BN_MP_CMP_MAG_C -+--->BN_MP_SUB_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_ADD_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_PRIME_RABIN_MILLER_TRIALS_C - - -BN_MP_RADIX_SIZE_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_DIV_D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_DIV_3_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C - - -BN_MP_READ_SIGNED_BIN_C -+--->BN_MP_READ_UNSIGNED_BIN_C -| +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C - - -BN_MP_PRIME_RANDOM_EX_C -+--->BN_MP_READ_UNSIGNED_BIN_C -| +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_COPY_C -| | +--->BN_MP_LSHD_C | | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_PRIME_IS_PRIME_C -| +--->BN_MP_CMP_D_C -| +--->BN_MP_PRIME_IS_DIVISIBLE_C -| | +--->BN_MP_MOD_D_C -| | | +--->BN_MP_DIV_D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_INIT_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | +--->BN_MP_DR_SETUP_C +| | +--->BN_MP_DR_REDUCE_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | +--->BN_MP_REDUCE_2K_SETUP_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_PRIME_MILLER_RABIN_C -| | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_COPY_C +| | +--->BN_MP_REDUCE_2K_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_SUB_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_D_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CNT_LSB_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C +| | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXPTMOD_C -| | | +--->BN_MP_INVMOD_C -| | | | +--->BN_FAST_MP_INVMOD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SET_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MULMOD_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_COPY_C | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_MOD_C -| | | | | | +--->BN_MP_DIV_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | | +--->BN_MP_ABS_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C +| | | | | +--->BN_MP_ADD_C | | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C @@ -4154,9 +3328,7 @@ BN_MP_PRIME_RANDOM_EX_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_SUB_C | | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C @@ -4164,575 +3336,222 @@ BN_MP_PRIME_RANDOM_EX_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INVMOD_SLOW_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_MOD_C -| | | | | | +--->BN_MP_DIV_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | | +--->BN_MP_ABS_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_DIV_2_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_REDUCE_IS_2K_L_C -| | | +--->BN_S_MP_EXPTMOD_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_REDUCE_SETUP_C -| | | | | +--->BN_MP_2EXPT_C -| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2D_C | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_REDUCE_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_C -| | | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_COPY_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C | | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CMP_C | | | | | +--->BN_MP_SUB_C | | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_ADD_C | | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_REDUCE_2K_SETUP_L_C -| | | | | +--->BN_MP_2EXPT_C -| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_REDUCE_2K_L_C -| | | | | +--->BN_MP_MUL_C -| | | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_COPY_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_SQR_C -| | | | | +--->BN_MP_TOOM_SQR_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_FAST_S_MP_SQR_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SQR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_DR_IS_MODULUS_C -| | | +--->BN_MP_REDUCE_IS_2K_C -| | | | +--->BN_MP_REDUCE_2K_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_EXPTMOD_FAST_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_MONTGOMERY_SETUP_C -| | | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| | | | +--->BN_MP_DIV_2_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_MONTGOMERY_REDUCE_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_DR_SETUP_C -| | | | +--->BN_MP_DR_REDUCE_C -| | | | | +--->BN_MP_GROW_C +| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_REDUCE_2K_SETUP_C -| | | | | +--->BN_MP_2EXPT_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_REDUCE_2K_C -| | | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C @@ -4740,886 +3559,206 @@ BN_MP_PRIME_RANDOM_EX_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| | | | | +--->BN_MP_2EXPT_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MULMOD_C -| | | | | +--->BN_MP_MUL_C -| | | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_COPY_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_MOD_C -| | | | | | +--->BN_MP_DIV_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_COPY_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_SQR_C -| | | | | +--->BN_MP_TOOM_SQR_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_FAST_S_MP_SQR_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SQR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_SQRMOD_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C ++--->BN_MP_CMP_C +| +--->BN_MP_CMP_MAG_C ++--->BN_MP_SQRMOD_C +| +--->BN_MP_SQR_C +| | +--->BN_MP_TOOM_SQR_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_ABS_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_SUB_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_ADD_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_2_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_2_C -| +--->BN_MP_GROW_C -+--->BN_MP_ADD_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C - - -BN_MP_KARATSUBA_SQR_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C -+--->BN_MP_SQR_C -| +--->BN_MP_TOOM_SQR_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C +| | | +--->BN_MP_DIV_2_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_SUB_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C +| | +--->BN_FAST_S_MP_SQR_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C | | | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_SQR_C -| | +--->BN_MP_GROW_C -| +--->BN_S_MP_SQR_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -+--->BN_S_MP_ADD_C -| +--->BN_MP_GROW_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C -+--->BN_MP_ADD_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -+--->BN_MP_CLEAR_C - - -BN_MP_INIT_COPY_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C - - -BN_MP_CLAMP_C - - -BN_MP_TOOM_SQR_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C | +--->BN_MP_CLEAR_C -+--->BN_MP_MOD_2D_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_RSHD_C -| +--->BN_MP_ZERO_C -+--->BN_MP_SQR_C -| +--->BN_MP_KARATSUBA_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_DIV_C | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_SQR_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_MUL_2_C -| +--->BN_MP_GROW_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_2_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_2D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_3_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -+--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_CLEAR_C - - -BN_MP_MOD_C -+--->BN_MP_INIT_C -+--->BN_MP_DIV_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_SET_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_ABS_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C | | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_COPY_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C - - -BN_MP_INIT_C - - -BN_MP_TOOM_MUL_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_MOD_2D_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_RSHD_C -| +--->BN_MP_ZERO_C -+--->BN_MP_MUL_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C | | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_MUL_2_C -| +--->BN_MP_GROW_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_2_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C + + +BN_MP_READ_UNSIGNED_BIN_C ++--->BN_MP_GROW_C ++--->BN_MP_ZERO_C +--->BN_MP_MUL_2D_C -| +--->BN_MP_GROW_C +| +--->BN_MP_COPY_C | +--->BN_MP_LSHD_C +| | +--->BN_MP_RSHD_C | +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_3_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -+--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_CLEAR_C ++--->BN_MP_CLAMP_C -BN_MP_PRIME_IS_PRIME_C -+--->BN_MP_CMP_D_C -+--->BN_MP_PRIME_IS_DIVISIBLE_C -| +--->BN_MP_MOD_D_C -| | +--->BN_MP_DIV_D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_C +BN_MP_N_ROOT_C ++--->BN_MP_N_ROOT_EX_C +| +--->BN_MP_INIT_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_EXPT_D_EX_C +| | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -+--->BN_MP_INIT_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_PRIME_MILLER_RABIN_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_SUB_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CNT_LSB_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_EXPTMOD_C -| | +--->BN_MP_INVMOD_C -| | | +--->BN_FAST_MP_INVMOD_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | +--->BN_MP_ABS_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C +| | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C @@ -5627,9 +3766,7 @@ BN_MP_PRIME_IS_PRIME_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C @@ -5637,68 +3774,60 @@ BN_MP_PRIME_IS_PRIME_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_INVMOD_SLOW_C -| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | +--->BN_MP_ABS_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_COPY_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C @@ -5715,256 +3844,63 @@ BN_MP_PRIME_IS_PRIME_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_ABS_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_REDUCE_IS_2K_L_C -| | +--->BN_S_MP_EXPTMOD_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_REDUCE_SETUP_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_DIV_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C +| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_2K_SETUP_L_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_2K_L_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_SUB_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C @@ -5972,240 +3908,292 @@ BN_MP_PRIME_IS_PRIME_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_FAST_S_MP_SQR_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_DR_IS_MODULUS_C -| | +--->BN_MP_REDUCE_IS_2K_C -| | | +--->BN_MP_REDUCE_2K_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_EXPTMOD_FAST_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_MONTGOMERY_SETUP_C -| | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_RSHD_C | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_MONTGOMERY_REDUCE_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_DR_SETUP_C -| | | +--->BN_MP_DR_REDUCE_C +| | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_REDUCE_2K_SETUP_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CMP_C +| | +--->BN_MP_CMP_MAG_C +| +--->BN_MP_SUB_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C + + +BN_MP_EXPT_D_EX_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C ++--->BN_MP_SQR_C +| +--->BN_MP_TOOM_SQR_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_KARATSUBA_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C + + +BN_MP_EXPT_D_C ++--->BN_MP_EXPT_D_EX_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_2K_C -| | | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C @@ -6213,806 +4201,4335 @@ BN_MP_PRIME_IS_PRIME_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MULMOD_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_SQR_C +| | +--->BN_MP_TOOM_SQR_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_CMP_C -| | +--->BN_MP_CMP_MAG_C -| +--->BN_MP_SQRMOD_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_KARATSUBA_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C +| | | +--->BN_MP_DIV_3_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C +| | +--->BN_FAST_S_MP_SQR_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C - - -BN_MP_COPY_C -+--->BN_MP_GROW_C - - -BN_S_MP_SUB_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C -BN_MP_READ_UNSIGNED_BIN_C -+--->BN_MP_GROW_C -+--->BN_MP_ZERO_C -+--->BN_MP_MUL_2D_C +BN_MP_XOR_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C | +--->BN_MP_COPY_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C +| | +--->BN_MP_GROW_C +--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C -BN_MP_EXPTMOD_FAST_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_INIT_C -+--->BN_MP_CLEAR_C -+--->BN_MP_MONTGOMERY_SETUP_C -+--->BN_FAST_MP_MONTGOMERY_REDUCE_C -| +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -+--->BN_MP_MONTGOMERY_REDUCE_C +BN_MP_REDUCE_SETUP_C ++--->BN_MP_2EXPT_C +| +--->BN_MP_ZERO_C | +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C ++--->BN_MP_DIV_C | +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -+--->BN_MP_DR_SETUP_C -+--->BN_MP_DR_REDUCE_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -+--->BN_MP_REDUCE_2K_SETUP_C -| +--->BN_MP_2EXPT_C -| | +--->BN_MP_ZERO_C +| +--->BN_MP_COPY_C | | +--->BN_MP_GROW_C -| +--->BN_S_MP_SUB_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_SET_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C +| +--->BN_MP_MUL_2D_C | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C -+--->BN_MP_REDUCE_2K_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C +| +--->BN_MP_CMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_INIT_C | | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C | | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_ADD_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_INIT_C +| +--->BN_MP_INIT_COPY_C +| +--->BN_MP_LSHD_C | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_MUL_D_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -+--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| +--->BN_MP_2EXPT_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_2_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C + + +BN_MP_RSHD_C ++--->BN_MP_ZERO_C + + +BN_MP_NEG_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C + + +BN_MP_SHRINK_C + + +BN_MP_PRIME_RANDOM_EX_C ++--->BN_MP_READ_UNSIGNED_BIN_C +| +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C -+--->BN_MP_MULMOD_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_PRIME_IS_PRIME_C +| +--->BN_MP_CMP_D_C +| +--->BN_MP_PRIME_IS_DIVISIBLE_C +| | +--->BN_MP_MOD_D_C +| | | +--->BN_MP_DIV_D_C | | | | +--->BN_MP_COPY_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_RSHD_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_INIT_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_C | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_PRIME_MILLER_RABIN_C +| | +--->BN_MP_INIT_COPY_C | | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_SUB_D_C | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_D_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_MOD_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_CNT_LSB_C +| | +--->BN_MP_DIV_2D_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_ABS_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLEAR_C | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_MOD_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXPTMOD_C +| | | +--->BN_MP_INVMOD_C +| | | | +--->BN_FAST_MP_INVMOD_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_MOD_C +| | | | | | +--->BN_MP_DIV_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | | +--->BN_MP_ABS_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INVMOD_SLOW_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_MOD_C +| | | | | | +--->BN_MP_DIV_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | | +--->BN_MP_ABS_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_REDUCE_IS_2K_L_C +| | | +--->BN_S_MP_EXPTMOD_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_REDUCE_SETUP_C +| | | | | +--->BN_MP_2EXPT_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_C +| | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_COPY_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_2K_SETUP_L_C +| | | | | +--->BN_MP_2EXPT_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_2K_L_C +| | | | | +--->BN_MP_MUL_C +| | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_COPY_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_SQR_C +| | | | | +--->BN_MP_TOOM_SQR_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_FAST_S_MP_SQR_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_DR_IS_MODULUS_C +| | | +--->BN_MP_REDUCE_IS_2K_C +| | | | +--->BN_MP_REDUCE_2K_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_EXPTMOD_FAST_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_MONTGOMERY_SETUP_C +| | | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_MONTGOMERY_REDUCE_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_DR_SETUP_C +| | | | +--->BN_MP_DR_REDUCE_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_REDUCE_2K_SETUP_C +| | | | | +--->BN_MP_2EXPT_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_2K_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| | | | | +--->BN_MP_2EXPT_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MULMOD_C +| | | | | +--->BN_MP_MUL_C +| | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_COPY_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_MOD_C +| | | | | | +--->BN_MP_DIV_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_SQR_C +| | | | | +--->BN_MP_TOOM_SQR_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_FAST_S_MP_SQR_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_SQRMOD_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_FAST_S_MP_SQR_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_SUB_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_ADD_D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_2_C +| +--->BN_MP_GROW_C ++--->BN_MP_ADD_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C + + +BN_MP_CMP_D_C + + +BN_MP_DR_IS_MODULUS_C + + +BN_MP_IMPORT_C ++--->BN_MP_ZERO_C ++--->BN_MP_MUL_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLAMP_C + + +BN_MP_COUNT_BITS_C + + +BN_MP_FREAD_C ++--->BN_MP_ZERO_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_ADD_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_SUB_D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_D_C + + +BN_MP_REDUCE_2K_L_C ++--->BN_MP_INIT_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_S_MP_ADD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C + + +BN_MP_AND_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_SQRMOD_C ++--->BN_MP_INIT_C ++--->BN_MP_SQR_C +| +--->BN_MP_TOOM_SQR_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_KARATSUBA_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C ++--->BN_MP_MOD_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C + + +BN_MP_DIV_D_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_INIT_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_DIV_3_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_INIT_MULTI_C ++--->BN_MP_INIT_C ++--->BN_MP_CLEAR_C + + +BN_S_MP_EXPTMOD_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_INIT_C ++--->BN_MP_CLEAR_C ++--->BN_MP_REDUCE_SETUP_C +| +--->BN_MP_2EXPT_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_REDUCE_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| +--->BN_S_MP_MUL_HIGH_DIGS_C +| | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_D_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| | +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_REDUCE_2K_SETUP_L_C +| +--->BN_MP_2EXPT_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_GROW_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_REDUCE_2K_L_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_MOD_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_SQR_C +| +--->BN_MP_TOOM_SQR_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_KARATSUBA_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_EXCH_C + + +BN_MP_MONTGOMERY_CALC_NORMALIZATION_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_2EXPT_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_GROW_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_MUL_2_C +| +--->BN_MP_GROW_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C + + +BN_MP_MONTGOMERY_SETUP_C + + +BN_FAST_MP_INVMOD_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_MOD_C +| +--->BN_MP_INIT_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_C +| +--->BN_MP_CMP_MAG_C ++--->BN_MP_CMP_D_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C + + +BN_MP_TO_UNSIGNED_BIN_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_CLEAR_MULTI_C ++--->BN_MP_CLEAR_C + + +BNCORE_C + + +BN_MP_TORADIX_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_DIV_D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_DIV_3_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C + + +BN_MP_EXPTMOD_FAST_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_INIT_C ++--->BN_MP_CLEAR_C ++--->BN_MP_MONTGOMERY_SETUP_C ++--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C ++--->BN_MP_MONTGOMERY_REDUCE_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C ++--->BN_MP_DR_SETUP_C ++--->BN_MP_DR_REDUCE_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C ++--->BN_MP_REDUCE_2K_SETUP_C +| +--->BN_MP_2EXPT_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_GROW_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_REDUCE_2K_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| +--->BN_MP_2EXPT_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_2_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_MULMOD_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_MOD_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_SQR_C +| +--->BN_MP_TOOM_SQR_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_KARATSUBA_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C ++--->BN_MP_EXCH_C + + +BN_MP_MUL_D_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C + + +BN_MP_SET_LONG_LONG_C + + +BN_MP_DIV_2_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C + + +BN_ERROR_C + + +BN_MP_RAND_C ++--->BN_MP_ZERO_C ++--->BN_MP_ADD_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_SUB_D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_LSHD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C + + +BN_S_MP_SQR_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_CMP_C ++--->BN_MP_CMP_MAG_C + + +BN_MP_N_ROOT_EX_C ++--->BN_MP_INIT_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_EXPT_D_EX_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_SQR_C +| | +--->BN_MP_TOOM_SQR_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | +--->BN_FAST_S_MP_SQR_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_COPY_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_CMP_C +| +--->BN_MP_CMP_MAG_C ++--->BN_MP_SUB_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_ADD_D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_PRIME_IS_DIVISIBLE_C ++--->BN_MP_MOD_D_C +| +--->BN_MP_DIV_D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C + + +BN_MP_INIT_SET_INT_C ++--->BN_MP_INIT_C ++--->BN_MP_SET_INT_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C + + +BN_MP_DIV_3_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_MONTGOMERY_REDUCE_C ++--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C ++--->BN_MP_RSHD_C +| +--->BN_MP_ZERO_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C + + +BN_MP_INVMOD_SLOW_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_MOD_C +| +--->BN_MP_INIT_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C | | +--->BN_MP_SUB_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_C +| +--->BN_MP_CMP_MAG_C ++--->BN_MP_CMP_D_C ++--->BN_MP_CMP_MAG_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C + + +BN_S_MP_ADD_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C + + +BN_MP_READ_SIGNED_BIN_C ++--->BN_MP_READ_UNSIGNED_BIN_C +| +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C + + +BN_MP_MOD_D_C ++--->BN_MP_DIV_D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_DIV_3_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C + + +BN_MP_SQRTMOD_PRIME_C ++--->BN_MP_CMP_D_C ++--->BN_MP_ZERO_C ++--->BN_MP_JACOBI_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_CNT_LSB_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_MOD_D_C +| +--->BN_MP_DIV_D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_ADD_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_SUB_D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_EXPTMOD_C +| +--->BN_MP_INIT_C +| +--->BN_MP_INVMOD_C +| | +--->BN_FAST_MP_INVMOD_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2D_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_COPY_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INVMOD_SLOW_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2D_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_COPY_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_ABS_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_REDUCE_IS_2K_L_C +| +--->BN_S_MP_EXPTMOD_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_REDUCE_SETUP_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_REDUCE_C +| | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_REDUCE_2K_SETUP_L_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_REDUCE_2K_L_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_DR_IS_MODULUS_C +| +--->BN_MP_REDUCE_IS_2K_C +| | +--->BN_MP_REDUCE_2K_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_EXPTMOD_FAST_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_MONTGOMERY_SETUP_C +| | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | +--->BN_MP_MONTGOMERY_REDUCE_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | +--->BN_MP_DR_SETUP_C +| | +--->BN_MP_DR_REDUCE_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | +--->BN_MP_REDUCE_2K_SETUP_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_REDUCE_2K_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MULMOD_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2D_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_COPY_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_FAST_S_MP_SQR_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_SUB_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_SET_INT_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C | | +--->BN_MP_CLAMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_SQR_C -| +--->BN_MP_TOOM_SQR_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_SQRMOD_C +| +--->BN_MP_INIT_C +| +--->BN_MP_SQR_C +| | +--->BN_MP_TOOM_SQR_C +| | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_2_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_FAST_S_MP_SQR_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C +| | +--->BN_S_MP_SQR_C | | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_KARATSUBA_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_DIV_C | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C | | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_ADD_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C -| +--->BN_FAST_S_MP_SQR_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C +| | +--->BN_MP_EXCH_C | | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C @@ -7021,572 +8538,911 @@ BN_MP_EXPTMOD_FAST_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C ++--->BN_MP_MULMOD_C +| +--->BN_MP_INIT_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C +| | +--->BN_S_MP_MUL_DIGS_C | | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_DIV_C | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C | | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -+--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLAMP_C ++--->BN_MP_SET_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C -BN_MP_TO_UNSIGNED_BIN_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C +BN_FAST_S_MP_MUL_HIGH_DIGS_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C -BN_MP_SET_INT_C -+--->BN_MP_ZERO_C -+--->BN_MP_MUL_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_RSHD_C +BN_REVERSE_C + + +BN_MP_PRIME_NEXT_PRIME_C ++--->BN_MP_CMP_D_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_SUB_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_ADD_D_C +| | +--->BN_MP_CLAMP_C | +--->BN_MP_CLAMP_C -+--->BN_MP_CLAMP_C - - -BN_MP_MOD_D_C -+--->BN_MP_DIV_D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_MOD_2D_C ++--->BN_MP_MOD_D_C +| +--->BN_MP_DIV_D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_DIV_3_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C | | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C ++--->BN_MP_INIT_C ++--->BN_MP_ADD_D_C +| +--->BN_MP_GROW_C | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C - - -BN_MP_SQR_C -+--->BN_MP_TOOM_SQR_C -| +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_ZERO_C ++--->BN_MP_PRIME_MILLER_RABIN_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_2_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C +| +--->BN_MP_CNT_LSB_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_3_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C +| +--->BN_MP_EXPTMOD_C +| | +--->BN_MP_INVMOD_C +| | | +--->BN_FAST_MP_INVMOD_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | +--->BN_MP_ABS_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_INVMOD_SLOW_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | +--->BN_MP_ABS_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_CLEAR_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_KARATSUBA_SQR_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| +--->BN_MP_ADD_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_C -+--->BN_FAST_S_MP_SQR_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_S_MP_SQR_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C - - -BN_MP_MULMOD_C -+--->BN_MP_INIT_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_ABS_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_REDUCE_IS_2K_L_C +| | +--->BN_S_MP_EXPTMOD_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_REDUCE_SETUP_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_REDUCE_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_REDUCE_2K_SETUP_L_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_REDUCE_2K_L_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_FAST_S_MP_SQR_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DR_IS_MODULUS_C +| | +--->BN_MP_REDUCE_IS_2K_C +| | | +--->BN_MP_REDUCE_2K_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_EXPTMOD_FAST_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_MONTGOMERY_SETUP_C +| | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C -+--->BN_MP_MOD_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_MONTGOMERY_REDUCE_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_DR_SETUP_C +| | | +--->BN_MP_DR_REDUCE_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C - - -BN_MP_DIV_2D_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_ZERO_C -+--->BN_MP_INIT_C -+--->BN_MP_MOD_2D_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C -+--->BN_MP_RSHD_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C - - -BN_S_MP_ADD_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_FAST_S_MP_SQR_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_S_MP_MUL_DIGS_C -+--->BN_FAST_S_MP_MUL_DIGS_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_XOR_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_RADIX_SMAP_C - - -BN_MP_DR_IS_MODULUS_C - - -BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_2EXPT_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_GROW_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_MUL_2_C -| +--->BN_MP_GROW_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C - - -BN_MP_SUB_C -+--->BN_S_MP_ADD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C - - -BN_MP_INIT_MULTI_C -+--->BN_MP_INIT_C -+--->BN_MP_CLEAR_C - - -BN_S_MP_MUL_HIGH_DIGS_C -+--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_PRIME_NEXT_PRIME_C -+--->BN_MP_CMP_D_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_SUB_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_ADD_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MOD_D_C -| +--->BN_MP_DIV_D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_INIT_C -+--->BN_MP_ADD_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_PRIME_MILLER_RABIN_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_CNT_LSB_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_EXPTMOD_C -| | +--->BN_MP_INVMOD_C -| | | +--->BN_FAST_MP_INVMOD_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_REDUCE_2K_SETUP_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | +--->BN_MP_ABS_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_REDUCE_2K_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MULMOD_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C | | | | | | | +--->BN_S_MP_ADD_C | | | | | | | | +--->BN_MP_GROW_C | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C | | | | | | | +--->BN_S_MP_SUB_C | | | | | | | | +--->BN_MP_GROW_C | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_SUB_C | | | | | | | +--->BN_S_MP_ADD_C | | | | | | | | +--->BN_MP_GROW_C | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C | | | | | | | +--->BN_S_MP_SUB_C | | | | | | | | +--->BN_MP_GROW_C | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_DIV_2_C | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_MUL_D_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_ADD_C | | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_INVMOD_SLOW_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_MOD_C | | | | | +--->BN_MP_DIV_C | | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_MP_COPY_C | | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | +--->BN_MP_ABS_C +| | | | | | +--->BN_MP_INIT_MULTI_C | | | | | | +--->BN_MP_MUL_2D_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_LSHD_C @@ -7608,8 +9464,6 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | | | | | +--->BN_MP_GROW_C | | | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | +--->BN_MP_CLEAR_C | | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_LSHD_C | | | | | | | +--->BN_MP_GROW_C @@ -7619,8 +9473,7 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_ADD_C | | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C @@ -7629,46 +9482,7 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_ABS_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_REDUCE_IS_2K_L_C -| | +--->BN_S_MP_EXPTMOD_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_REDUCE_SETUP_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_MOD_C | | | | +--->BN_MP_DIV_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_MP_COPY_C @@ -7705,100 +9519,163 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_FAST_S_MP_SQR_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_DIV_3_C | | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_KARATSUBA_MUL_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| +--->BN_MP_CMP_C +| | +--->BN_MP_CMP_MAG_C +| +--->BN_MP_SQRMOD_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_MOD_2D_C | | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_COPY_C | | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_SUB_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C @@ -7806,9 +9683,7 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C @@ -7816,290 +9691,475 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_DIV_2_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_2K_SETUP_L_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2D_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_2K_L_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C + + +BN_MP_TOOM_MUL_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_MOD_2D_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_RSHD_C +| +--->BN_MP_ZERO_C ++--->BN_MP_MUL_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_MUL_2_C +| +--->BN_MP_GROW_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_2D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_3_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_LSHD_C +| +--->BN_MP_GROW_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C + + +BN_MP_CNT_LSB_C + + +BN_MP_CLAMP_C + + +BN_MP_SUB_D_C ++--->BN_MP_GROW_C ++--->BN_MP_ADD_D_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLAMP_C + + +BN_MP_ADD_C ++--->BN_S_MP_ADD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C + + +BN_MP_REDUCE_2K_C ++--->BN_MP_INIT_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_S_MP_ADD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C + + +BN_MP_REDUCE_C ++--->BN_MP_REDUCE_SETUP_C +| +--->BN_MP_2EXPT_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_RSHD_C +| +--->BN_MP_ZERO_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_S_MP_MUL_HIGH_DIGS_C +| +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MOD_2D_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_S_MP_MUL_DIGS_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_D_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_LSHD_C +| +--->BN_MP_GROW_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_C +| +--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C + + +BN_MP_EXPTMOD_C ++--->BN_MP_INIT_C ++--->BN_MP_INVMOD_C +| +--->BN_FAST_MP_INVMOD_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_FAST_S_MP_SQR_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_RSHD_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_DR_IS_MODULUS_C -| | +--->BN_MP_REDUCE_IS_2K_C -| | | +--->BN_MP_REDUCE_2K_C -| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_MUL_D_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C @@ -8107,369 +10167,192 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_EXPTMOD_FAST_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_MONTGOMERY_SETUP_C -| | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_MONTGOMERY_REDUCE_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_DR_SETUP_C -| | | +--->BN_MP_DR_REDUCE_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_CMP_D_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_REDUCE_2K_SETUP_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_2K_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MULMOD_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_INVMOD_SLOW_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_RSHD_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_FAST_S_MP_SQR_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_CMP_D_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C ++--->BN_MP_ABS_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_CLEAR_MULTI_C ++--->BN_MP_REDUCE_IS_2K_L_C ++--->BN_S_MP_EXPTMOD_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_REDUCE_SETUP_C +| | +--->BN_MP_2EXPT_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_EXCH_C -| +--->BN_MP_CMP_C -| | +--->BN_MP_CMP_MAG_C -| +--->BN_MP_SQRMOD_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_REDUCE_C +| | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_MOD_2D_C | | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_COPY_C @@ -8477,8 +10360,6 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_COPY_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_MUL_2_C | | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_ADD_C @@ -8511,868 +10392,627 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_KARATSUBA_MUL_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_FAST_S_MP_SQR_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C - - -BN_MP_SIGNED_BIN_SIZE_C -+--->BN_MP_UNSIGNED_BIN_SIZE_C -| +--->BN_MP_COUNT_BITS_C - - -BN_MP_INVMOD_SLOW_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_MOD_C -| +--->BN_MP_INIT_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_DIV_2_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_C -| +--->BN_MP_CMP_MAG_C -+--->BN_MP_CMP_D_C -+--->BN_MP_CMP_MAG_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_CLEAR_C - - -BN_MP_LCM_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_GCD_C -| +--->BN_MP_ABS_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_CNT_LSB_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_MP_EXCH_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CMP_MAG_C -+--->BN_MP_DIV_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_SET_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_ABS_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_INIT_C -| +--->BN_MP_INIT_COPY_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C | | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_SUB_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C +| | +--->BN_MP_CMP_D_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C +| +--->BN_MP_REDUCE_2K_SETUP_L_C +| | +--->BN_MP_2EXPT_C +| | | +--->BN_MP_ZERO_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C +| +--->BN_MP_REDUCE_2K_L_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C | | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_CLEAR_C - - -BN_MP_REDUCE_2K_L_C -+--->BN_MP_INIT_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_CLAMP_C | +--->BN_MP_COPY_C | | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C +| +--->BN_MP_SQR_C +| | +--->BN_MP_TOOM_SQR_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | +--->BN_FAST_S_MP_SQR_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C +| | +--->BN_S_MP_SQR_C | | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_S_MP_ADD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C - - -BN_REVERSE_C - - -BN_MP_PRIME_IS_DIVISIBLE_C -+--->BN_MP_MOD_D_C -| +--->BN_MP_DIV_D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_KARATSUBA_MUL_C | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C - - -BN_MP_SET_C -+--->BN_MP_ZERO_C - - -BN_MP_GCD_C -+--->BN_MP_ABS_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_ZERO_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_CNT_LSB_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_CMP_MAG_C -+--->BN_MP_EXCH_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C - - -BN_MP_REDUCE_2K_SETUP_L_C -+--->BN_MP_INIT_C -+--->BN_MP_2EXPT_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_GROW_C -+--->BN_MP_COUNT_BITS_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C - - -BN_MP_READ_RADIX_C -+--->BN_MP_ZERO_C -+--->BN_MP_MUL_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_ADD_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_SUB_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C - - -BN_FAST_S_MP_MUL_HIGH_DIGS_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_FAST_MP_MONTGOMERY_REDUCE_C -+--->BN_MP_GROW_C -+--->BN_MP_RSHD_C -| +--->BN_MP_ZERO_C -+--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C - - -BN_MP_DIV_D_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_INIT_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_DIV_3_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C | +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_REDUCE_2K_SETUP_C -+--->BN_MP_INIT_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_2EXPT_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_GROW_C -+--->BN_MP_CLEAR_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C - - -BN_MP_INIT_SET_C -+--->BN_MP_INIT_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C - - -BN_MP_REDUCE_2K_C -+--->BN_MP_INIT_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_COPY_C ++--->BN_MP_DR_IS_MODULUS_C ++--->BN_MP_REDUCE_IS_2K_C +| +--->BN_MP_REDUCE_2K_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_COUNT_BITS_C ++--->BN_MP_EXPTMOD_FAST_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_MONTGOMERY_SETUP_C +| +--->BN_FAST_MP_MONTGOMERY_REDUCE_C | | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_MUL_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_S_MP_ADD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C - - -BN_ERROR_C - - -BN_MP_EXPT_D_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| +--->BN_MP_MONTGOMERY_REDUCE_C | | +--->BN_MP_GROW_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_SQR_C -| +--->BN_MP_TOOM_SQR_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| +--->BN_MP_DR_SETUP_C +| +--->BN_MP_DR_REDUCE_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| +--->BN_MP_REDUCE_2K_SETUP_C +| | +--->BN_MP_2EXPT_C | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_REDUCE_2K_C +| | +--->BN_MP_DIV_2D_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MUL_D_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| | +--->BN_MP_2EXPT_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_SET_C | | | +--->BN_MP_ZERO_C | | +--->BN_MP_MUL_2_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_MULMOD_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_ADD_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_DIV_C | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_SQR_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MUL_2D_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C - - -BN_S_MP_EXPTMOD_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_INIT_C -+--->BN_MP_CLEAR_C -+--->BN_MP_REDUCE_SETUP_C -| +--->BN_MP_2EXPT_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C | | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_REDUCE_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_SQR_C +| | +--->BN_MP_TOOM_SQR_C | | | +--->BN_MP_INIT_MULTI_C | | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_MUL_2_C | | | | +--->BN_MP_GROW_C | | | +--->BN_MP_ADD_C @@ -9407,106 +11047,32 @@ BN_S_MP_EXPTMOD_C | | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_KARATSUBA_MUL_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C +| | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_GROW_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | +--->BN_FAST_S_MP_SQR_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_S_MP_SQR_C | | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| +--->BN_S_MP_MUL_HIGH_DIGS_C -| | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_D_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| | +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_REDUCE_2K_SETUP_L_C -| +--->BN_MP_2EXPT_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_GROW_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_REDUCE_2K_L_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C | +--->BN_MP_MUL_C | | +--->BN_MP_TOOM_MUL_C | | | +--->BN_MP_INIT_MULTI_C | | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_MUL_2_C @@ -9543,22 +11109,17 @@ BN_S_MP_EXPTMOD_C | | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C | | +--->BN_MP_KARATSUBA_MUL_C | | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C | | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_RSHD_C @@ -9570,143 +11131,90 @@ BN_S_MP_EXPTMOD_C | | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C + + +BN_MP_LSHD_C ++--->BN_MP_GROW_C ++--->BN_MP_RSHD_C +| +--->BN_MP_ZERO_C + + +BN_MP_ADD_D_C ++--->BN_MP_GROW_C ++--->BN_MP_SUB_D_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLAMP_C + + +BN_MP_GET_LONG_C + + +BN_MP_GET_LONG_LONG_C + + +BN_MP_CLEAR_C + + +BN_MP_EXTEUCLID_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_DIV_C | +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C +| +--->BN_MP_MUL_2D_C | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C -+--->BN_MP_MOD_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C +| +--->BN_MP_CMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C | +--->BN_MP_ADD_C | | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C | | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_SQR_C -| +--->BN_MP_TOOM_SQR_C -| | +--->BN_MP_INIT_MULTI_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_INIT_C | | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_KARATSUBA_SQR_C -| | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_ADD_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_INIT_C +| +--->BN_MP_INIT_COPY_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_MUL_D_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +--->BN_MP_MUL_C | +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C | | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_CLAMP_C @@ -9742,76 +11250,63 @@ BN_S_MP_EXPTMOD_C | | | +--->BN_MP_CLAMP_C | | +--->BN_MP_DIV_3_C | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C | | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C | +--->BN_MP_KARATSUBA_MUL_C | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C | | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLEAR_C | +--->BN_FAST_S_MP_MUL_DIGS_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C | +--->BN_S_MP_MUL_DIGS_C | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_EXCH_C - - -BN_MP_ABS_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C - - -BN_MP_INIT_SET_INT_C -+--->BN_MP_INIT_C -+--->BN_MP_SET_INT_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C - - -BN_MP_SUB_D_C -+--->BN_MP_GROW_C -+--->BN_MP_ADD_D_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_NEG_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C -BN_MP_TO_SIGNED_BIN_C -+--->BN_MP_TO_UNSIGNED_BIN_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C +BN_MP_TORADIX_N_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_DIV_D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C | +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C | | +--->BN_MP_ZERO_C | | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C @@ -9819,21 +11314,28 @@ BN_MP_TO_SIGNED_BIN_C | | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C +| +--->BN_MP_DIV_3_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C | +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C -BN_MP_DIV_2_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_MP_REDUCE_IS_2K_C -+--->BN_MP_REDUCE_2K_C -| +--->BN_MP_INIT_C -| +--->BN_MP_COUNT_BITS_C +BN_MP_RADIX_SIZE_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_DIV_D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C | +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C | | +--->BN_MP_ZERO_C | | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C @@ -9841,185 +11343,85 @@ BN_MP_REDUCE_IS_2K_C | | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_3_C +| | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C | +--->BN_MP_CLEAR_C -+--->BN_MP_COUNT_BITS_C - - -BN_MP_INIT_SIZE_C -+--->BN_MP_INIT_C ++--->BN_MP_CLEAR_C -BN_MP_DIV_C -+--->BN_MP_CMP_MAG_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_ZERO_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_SET_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_ABS_C -+--->BN_MP_MUL_2D_C +BN_S_MP_MUL_HIGH_DIGS_C ++--->BN_FAST_S_MP_MUL_HIGH_DIGS_C | +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_INIT_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_RSHD_C | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_CLEAR_C +--->BN_MP_INIT_SIZE_C | +--->BN_MP_INIT_C -+--->BN_MP_INIT_C -+--->BN_MP_INIT_COPY_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -+--->BN_MP_RSHD_C -+--->BN_MP_MUL_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C +--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C +--->BN_MP_CLEAR_C -BN_MP_CLEAR_C - - -BN_MP_MONTGOMERY_REDUCE_C -+--->BN_FAST_MP_MONTGOMERY_REDUCE_C +BN_MP_SET_INT_C ++--->BN_MP_ZERO_C ++--->BN_MP_MUL_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C | +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_RSHD_C | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -+--->BN_MP_GROW_C +--->BN_MP_CLAMP_C -+--->BN_MP_RSHD_C -| +--->BN_MP_ZERO_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C -BN_MP_MUL_2_C -+--->BN_MP_GROW_C +BN_MP_DR_SETUP_C -BN_MP_UNSIGNED_BIN_SIZE_C -+--->BN_MP_COUNT_BITS_C +BN_MP_MUL_2_C ++--->BN_MP_GROW_C -BN_MP_ADDMOD_C -+--->BN_MP_INIT_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C -+--->BN_MP_MOD_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C +BN_MP_FWRITE_C ++--->BN_MP_RADIX_SIZE_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C | | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_ZERO_C | | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C | | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_TORADIX_C +| +--->BN_MP_INIT_COPY_C | | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C +| +--->BN_MP_DIV_D_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C - - -BN_MP_ADD_C -+--->BN_S_MP_ADD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C - - -BN_MP_TO_SIGNED_BIN_N_C -+--->BN_MP_SIGNED_BIN_SIZE_C -| +--->BN_MP_UNSIGNED_BIN_SIZE_C -| | +--->BN_MP_COUNT_BITS_C -+--->BN_MP_TO_SIGNED_BIN_C -| +--->BN_MP_TO_UNSIGNED_BIN_C -| | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C | | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C @@ -10027,71 +11429,92 @@ BN_MP_TO_SIGNED_BIN_N_C | | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C -BN_MP_REDUCE_IS_2K_L_C +BN_MP_GROW_C -BN_MP_RAND_C +BN_MP_READ_RADIX_C +--->BN_MP_ZERO_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C +--->BN_MP_ADD_D_C | +--->BN_MP_GROW_C | +--->BN_MP_SUB_D_C | | +--->BN_MP_CLAMP_C | +--->BN_MP_CLAMP_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C - -BN_MP_CNT_LSB_C - - -BN_MP_2EXPT_C -+--->BN_MP_ZERO_C -+--->BN_MP_GROW_C - -BN_MP_RSHD_C -+--->BN_MP_ZERO_C +BN_S_MP_MUL_DIGS_C ++--->BN_FAST_S_MP_MUL_DIGS_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C -BN_MP_SHRINK_C +BN_PRIME_TAB_C -BN_MP_TO_UNSIGNED_BIN_N_C -+--->BN_MP_UNSIGNED_BIN_SIZE_C -| +--->BN_MP_COUNT_BITS_C -+--->BN_MP_TO_UNSIGNED_BIN_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_2D_C +BN_MP_IS_SQUARE_C ++--->BN_MP_MOD_D_C +| +--->BN_MP_DIV_D_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C - - -BN_MP_REDUCE_C -+--->BN_MP_REDUCE_SETUP_C -| +--->BN_MP_2EXPT_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_SET_INT_C +| +--->BN_MP_INIT_C +| +--->BN_MP_SET_INT_C | | +--->BN_MP_ZERO_C -| | +--->BN_MP_GROW_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_MOD_C +| +--->BN_MP_INIT_C | +--->BN_MP_DIV_C | | +--->BN_MP_CMP_MAG_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_ZERO_C | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_INIT_C | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_SET_C | | +--->BN_MP_COUNT_BITS_C @@ -10117,7 +11540,6 @@ BN_MP_REDUCE_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C | | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_INIT_C | | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CLEAR_C @@ -10128,185 +11550,310 @@ BN_MP_REDUCE_C | | +--->BN_MP_CLEAR_MULTI_C | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_RSHD_C -| +--->BN_MP_ZERO_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_S_MP_MUL_HIGH_DIGS_C -| +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MOD_2D_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_S_MP_MUL_DIGS_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C | | +--->BN_MP_CLAMP_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C | +--->BN_MP_CLEAR_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_D_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_C -| +--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C - - -BN_MP_MUL_2D_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_GROW_C -+--->BN_MP_LSHD_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C -+--->BN_MP_CLAMP_C - - -BN_MP_GET_INT_C - - -BN_MP_JACOBI_C -+--->BN_MP_CMP_D_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_CNT_LSB_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C ++--->BN_MP_GET_INT_C ++--->BN_MP_SQRT_C +| +--->BN_MP_N_ROOT_C +| | +--->BN_MP_N_ROOT_EX_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_SET_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_EXPT_D_EX_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_SQR_C +| | | | | +--->BN_MP_TOOM_SQR_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_FAST_S_MP_SQR_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_SUB_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C | +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C | +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_MOD_C | +--->BN_MP_DIV_C | | +--->BN_MP_CMP_MAG_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C | | +--->BN_MP_INIT_MULTI_C | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_SET_C @@ -10315,7 +11862,6 @@ BN_MP_JACOBI_C | | +--->BN_MP_MUL_2D_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C | | +--->BN_MP_CMP_C | | +--->BN_MP_SUB_C @@ -10332,182 +11878,49 @@ BN_MP_JACOBI_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C | | +--->BN_MP_EXCH_C | | +--->BN_MP_CLEAR_MULTI_C | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C | | +--->BN_MP_MUL_D_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_CLEAR_MULTI_C -+--->BN_MP_CLEAR_C - - -BN_MP_MUL_C -+--->BN_MP_TOOM_MUL_C -| +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_2_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_3_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_KARATSUBA_MUL_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| +--->BN_MP_CLEAR_C -+--->BN_FAST_S_MP_MUL_DIGS_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_S_MP_MUL_DIGS_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C - - -BN_MP_EXTEUCLID_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_DIV_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_ABS_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C | +--->BN_MP_ADD_C | | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_INIT_C -| +--->BN_MP_INIT_COPY_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_MUL_D_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_2_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_MP_EXCH_C | +--->BN_MP_CLEAR_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C ++--->BN_MP_SQR_C +| +--->BN_MP_TOOM_SQR_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLEAR_C | | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C | | +--->BN_MP_RSHD_C | | | +--->BN_MP_ZERO_C | | +--->BN_MP_MUL_2_C @@ -10548,36 +11961,84 @@ BN_MP_EXTEUCLID_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_CLEAR_MULTI_C | | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_MUL_C +| +--->BN_MP_KARATSUBA_SQR_C | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C | | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C +| +--->BN_FAST_S_MP_SQR_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C +| +--->BN_S_MP_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_CMP_MAG_C ++--->BN_MP_CLEAR_C + + +BN_MP_COPY_C ++--->BN_MP_GROW_C + + +BN_MP_TOOM_SQR_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_MOD_2D_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_RSHD_C +| +--->BN_MP_ZERO_C ++--->BN_MP_SQR_C +| +--->BN_MP_KARATSUBA_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SQR_C | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C | | +--->BN_MP_CLEAR_C ++--->BN_MP_MUL_2_C +| +--->BN_MP_GROW_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +--->BN_MP_SUB_C | +--->BN_S_MP_ADD_C | | +--->BN_MP_GROW_C @@ -10586,207 +12047,269 @@ BN_MP_EXTEUCLID_C | +--->BN_S_MP_SUB_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -+--->BN_MP_NEG_C -+--->BN_MP_EXCH_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_2D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_3_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_LSHD_C +| +--->BN_MP_GROW_C +--->BN_MP_CLEAR_MULTI_C | +--->BN_MP_CLEAR_C -BN_MP_DR_REDUCE_C -+--->BN_MP_GROW_C +BN_MP_KARATSUBA_SQR_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C ++--->BN_MP_SQR_C +| +--->BN_MP_TOOM_SQR_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_GROW_C +| +--->BN_S_MP_SQR_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_S_MP_ADD_C +| +--->BN_MP_GROW_C +--->BN_S_MP_SUB_C - - -BN_MP_FREAD_C -+--->BN_MP_ZERO_C -+--->BN_MP_MUL_D_C | +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_ADD_D_C ++--->BN_MP_LSHD_C | +--->BN_MP_GROW_C -| +--->BN_MP_SUB_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_D_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C ++--->BN_MP_ADD_C +| +--->BN_MP_CMP_MAG_C ++--->BN_MP_CLEAR_C -BN_MP_REDUCE_SETUP_C -+--->BN_MP_2EXPT_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_GROW_C -+--->BN_MP_DIV_C -| +--->BN_MP_CMP_MAG_C +BN_MP_GCD_C ++--->BN_MP_ABS_C | +--->BN_MP_COPY_C | | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_SET_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_ABS_C -| +--->BN_MP_MUL_2D_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C ++--->BN_MP_CNT_LSB_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C | +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_INIT_C -| +--->BN_MP_INIT_COPY_C ++--->BN_MP_CMP_MAG_C ++--->BN_MP_EXCH_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_GROW_C | +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C | | +--->BN_MP_RSHD_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ZERO_C | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C -BN_MP_MONTGOMERY_SETUP_C +BN_MP_MOD_2D_C ++--->BN_MP_ZERO_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C -BN_MP_KARATSUBA_MUL_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C +BN_FAST_MP_MONTGOMERY_REDUCE_C ++--->BN_MP_GROW_C ++--->BN_MP_RSHD_C +| +--->BN_MP_ZERO_C ++--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C + + +BN_MP_SUBMOD_C ++--->BN_MP_INIT_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C ++--->BN_MP_MOD_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C | | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C | | +--->BN_MP_MUL_D_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C + + +BN_MP_GET_INT_C + + +BN_MP_SET_LONG_C + + +BN_MP_ADDMOD_C ++--->BN_MP_INIT_C +--->BN_MP_ADD_C | +--->BN_S_MP_ADD_C | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C | +--->BN_MP_CMP_MAG_C | +--->BN_S_MP_SUB_C | | +--->BN_MP_GROW_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLAMP_C +--->BN_MP_CLEAR_C ++--->BN_MP_MOD_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C -BN_MP_LSHD_C -+--->BN_MP_GROW_C -+--->BN_MP_RSHD_C -| +--->BN_MP_ZERO_C - - -BN_MP_PRIME_MILLER_RABIN_C +BN_MP_PRIME_FERMAT_C +--->BN_MP_CMP_D_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_SUB_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_ADD_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CNT_LSB_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C ++--->BN_MP_INIT_C +--->BN_MP_EXPTMOD_C | +--->BN_MP_INVMOD_C | | +--->BN_FAST_MP_INVMOD_C @@ -10821,10 +12344,18 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2D_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_CLEAR_MULTI_C | | | | | | +--->BN_MP_CLEAR_C | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_COPY_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C @@ -10835,6 +12366,7 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C @@ -10843,7 +12375,6 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_SET_C | | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_DIV_2_C @@ -10902,10 +12433,18 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2D_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_CLEAR_MULTI_C | | | | | | +--->BN_MP_CLEAR_C | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_COPY_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C @@ -10916,6 +12455,7 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C @@ -10924,7 +12464,6 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C | | | +--->BN_MP_SET_C @@ -10993,8 +12532,15 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C @@ -11004,6 +12550,10 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CLAMP_C | | +--->BN_MP_REDUCE_C +| | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_MUL_C @@ -11053,18 +12603,14 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | +--->BN_MP_KARATSUBA_MUL_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | +--->BN_FAST_S_MP_MUL_DIGS_C @@ -11129,6 +12675,15 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C | | +--->BN_MP_REDUCE_2K_L_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_MUL_C | | | | +--->BN_MP_TOOM_MUL_C | | | | | +--->BN_MP_INIT_MULTI_C @@ -11178,18 +12733,14 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | +--->BN_MP_KARATSUBA_MUL_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C @@ -11236,8 +12787,15 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C @@ -11246,6 +12804,7 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C | | | +--->BN_MP_ADD_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C @@ -11254,7 +12813,6 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_SQR_C @@ -11302,22 +12860,16 @@ BN_MP_PRIME_MILLER_RABIN_C | | | +--->BN_MP_KARATSUBA_SQR_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C | | | +--->BN_FAST_S_MP_SQR_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -11370,18 +12922,14 @@ BN_MP_PRIME_MILLER_RABIN_C | | | +--->BN_MP_KARATSUBA_MUL_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C @@ -11400,6 +12948,15 @@ BN_MP_PRIME_MILLER_RABIN_C | +--->BN_MP_REDUCE_IS_2K_C | | +--->BN_MP_REDUCE_2K_C | | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -11442,6 +12999,15 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C | | +--->BN_MP_REDUCE_2K_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -11514,18 +13080,14 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | +--->BN_MP_KARATSUBA_MUL_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C @@ -11565,8 +13127,15 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2D_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_COPY_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C @@ -11575,6 +13144,7 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C @@ -11583,7 +13153,6 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C | | +--->BN_MP_SET_C | | | +--->BN_MP_ZERO_C | | +--->BN_MP_MOD_C @@ -11613,8 +13182,15 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C @@ -11623,6 +13199,7 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C | | | +--->BN_MP_ADD_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C @@ -11631,7 +13208,6 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_SQR_C @@ -11679,22 +13255,16 @@ BN_MP_PRIME_MILLER_RABIN_C | | | +--->BN_MP_KARATSUBA_SQR_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C | | | +--->BN_FAST_S_MP_SQR_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -11747,18 +13317,14 @@ BN_MP_PRIME_MILLER_RABIN_C | | | +--->BN_MP_KARATSUBA_MUL_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C @@ -11773,141 +13339,18 @@ BN_MP_PRIME_MILLER_RABIN_C | | +--->BN_MP_EXCH_C +--->BN_MP_CMP_C | +--->BN_MP_CMP_MAG_C -+--->BN_MP_SQRMOD_C -| +--->BN_MP_SQR_C -| | +--->BN_MP_TOOM_SQR_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_KARATSUBA_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_FAST_S_MP_SQR_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_MOD_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_ABS_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C +--->BN_MP_CLEAR_C -BN_MP_DR_SETUP_C - - -BN_MP_CMP_MAG_C +BN_MP_REDUCE_2K_SETUP_L_C ++--->BN_MP_INIT_C ++--->BN_MP_2EXPT_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_GROW_C ++--->BN_MP_COUNT_BITS_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C diff --git a/libtommath/changes.txt b/libtommath/changes.txt index 4fc0913..640b497 100644 --- a/libtommath/changes.txt +++ b/libtommath/changes.txt @@ -1,11 +1,32 @@ +Feb 5th, 2016 +v1.0 + -- Bump to 1.0 + -- Dirkjan Bussink provided a faster version of mp_expt_d() + -- Moritz Lenz contributed a fix to mp_mod() + and provided mp_get_long() and mp_set_long() + -- Fixed bugs in mp_read_radix(), mp_radix_size + Thanks to shameister, Gerhard R, + -- Christopher Brown provided mp_export() and mp_import() + -- Improvements in the code of mp_init_copy() + Thanks to ramkumarkoppu, + -- lomereiter provided mp_balance_mul() + -- Alexander Boström from the heimdal project contributed patches to + mp_prime_next_prime() and mp_invmod() and added a mp_isneg() macro + -- Fix build issues for Linux x32 ABI + -- Added mp_get_long_long() and mp_set_long_long() + -- Carlin provided a patch to use arc4random() instead of rand() + on platforms where it is supported + -- Karel Miko provided mp_sqrtmod_prime() + + July 23rd, 2010 v0.42.0 -- Fix for mp_prime_next_prime() bug when checking generated prime -- allow mp_shrink to shrink initialized, but empty MPI's - -- Added project and solution files for Visual Studio 2005 and Visual Studio 2008. + -- Added project and solution files for Visual Studio 2005 and Visual Studio 2008. March 10th, 2007 -v0.41 -- Wolfgang Ehrhardt suggested a quick fix to mp_div_d() which makes the detection of powers of two quicker. +v0.41 -- Wolfgang Ehrhardt suggested a quick fix to mp_div_d() which makes the detection of powers of two quicker. -- [CRI] Added libtommath.dsp for Visual C++ users. December 24th, 2006 @@ -22,11 +43,11 @@ v0.39 -- Jim Wigginton pointed out my Montgomery examples in figures 6.4 and 6. Jan 26th, 2006 v0.38 -- broken makefile.shared fixed -- removed some carry stores that were not required [updated text] - + November 18th, 2005 v0.37 -- [Don Porter] reported on a TCL list [HEY SEND ME BUGREPORTS ALREADY!!!] that mp_add_d() would compute -0 with some inputs. Fixed. -- [rinick@gmail.com] reported the makefile.bcc was messed up. Fixed. - -- [Kevin Kenny] reported some issues with mp_toradix_n(). Now it doesn't require a min of 3 chars of output. + -- [Kevin Kenny] reported some issues with mp_toradix_n(). Now it doesn't require a min of 3 chars of output. -- Made the make command renamable. Wee August 1st, 2005 @@ -36,8 +57,8 @@ v0.36 -- LTM_PRIME_2MSB_ON was fixed and the "OFF" flag was removed. -- Ported LTC patch to fix the prime_random_ex() function to get the bitsize correct [and the maskOR flags] -- Kevin Kenny pointed out a stray // -- David Hulton pointed out a typo in the textbook [mp_montgomery_setup() pseudo-code] - -- Neal Hamilton (Elliptic Semiconductor) pointed out that my Karatsuba notation was backwards and that I could use - unsigned operations in the routine. + -- Neal Hamilton (Elliptic Semiconductor) pointed out that my Karatsuba notation was backwards and that I could use + unsigned operations in the routine. -- Paul Schmidt pointed out a linking error in mp_exptmod() when BN_S_MP_EXPTMOD_C is undefined (and another for read_radix) -- Updated makefiles to be way more flexible @@ -48,7 +69,7 @@ v0.35 -- Stupid XOR function missing line again... oops. -- [Wolfgang Ehrhardt] Suggested a fix for mp_reduce() which avoided underruns. ;-) -- mp_rand() would emit one too many digits and it was possible to get a 0 out of it ... oops -- Added montgomery to the testing to make sure it handles 1..10 digit moduli correctly - -- Fixed bug in comba that would lead to possible erroneous outputs when "pa < digs" + -- Fixed bug in comba that would lead to possible erroneous outputs when "pa < digs" -- Fixed bug in mp_toradix_size for "0" [Kevin Kenny] -- Updated chapters 1-5 of the textbook ;-) It now talks about the new comba code! @@ -59,7 +80,7 @@ v0.34 -- Fixed two more small errors in mp_prime_random_ex() -- Added "large" diminished radix support. Speeds up things like DSA where the moduli is of the form 2^k - P for some P < 2^(k/2) or so Actually is faster than Montgomery on my AMD64 (and probably much faster on a P4) -- Updated the manual a bit - -- Ok so I haven't done the textbook work yet... My current freelance gig has landed me in France till the + -- Ok so I haven't done the textbook work yet... My current freelance gig has landed me in France till the end of Feb/05. Once I get back I'll have tons of free time and I plan to go to town on the book. As of this release the API will freeze. At least until the book catches up with all the changes. I welcome bug reports but new algorithms will have to wait. @@ -76,7 +97,7 @@ v0.33 -- Fixed "small" variant for mp_div() which would munge with negative div October 29th, 2004 v0.32 -- Added "makefile.shared" for shared object support -- Added more to the build options/configs in the manual - -- Started the Depends framework, wrote dep.pl to scan deps and + -- Started the Depends framework, wrote dep.pl to scan deps and produce "callgraph.txt" ;-) -- Wrote SC_RSA_1 which will enable close to the minimum required to perform RSA on 32-bit [or 64-bit] platforms with LibTomCrypt @@ -84,7 +105,7 @@ v0.32 -- Added "makefile.shared" for shared object support you want to use as your mp_div() at build time. Saves roughly 8KB or so. -- Renamed a few files and changed some comments to make depends system work better. (No changes to function names) - -- Merged in new Combas that perform 2 reads per inner loop instead of the older + -- Merged in new Combas that perform 2 reads per inner loop instead of the older 3reads/2writes per inner loop of the old code. Really though if you want speed learn to use TomsFastMath ;-) @@ -113,8 +134,8 @@ v0.30 -- Added "mp_toradix_n" which stores upto "n-1" least significant digits call. -- Removed /etclib directory [um LibTomPoly deprecates this]. -- Fixed mp_mod() so the sign of the result agrees with the sign of the modulus. - ++ N.B. My semester is almost up so expect updates to the textbook to be posted to the libtomcrypt.org - website. + ++ N.B. My semester is almost up so expect updates to the textbook to be posted to the libtomcrypt.org + website. Jan 25th, 2004 v0.29 ++ Note: "Henrik" from the v0.28 changelog refers to Henrik Goldman ;-) diff --git a/libtommath/demo/demo.c b/libtommath/demo/demo.c deleted file mode 100644 index e1f8a5e..0000000 --- a/libtommath/demo/demo.c +++ /dev/null @@ -1,736 +0,0 @@ -#include - -#ifdef IOWNANATHLON -#include -#define SLEEP sleep(4) -#else -#define SLEEP -#endif - -#include "tommath.h" - -void ndraw(mp_int * a, char *name) -{ - char buf[16000]; - - printf("%s: ", name); - mp_toradix(a, buf, 10); - printf("%s\n", buf); -} - -static void draw(mp_int * a) -{ - ndraw(a, ""); -} - - -unsigned long lfsr = 0xAAAAAAAAUL; - -int lbit(void) -{ - if (lfsr & 0x80000000UL) { - lfsr = ((lfsr << 1) ^ 0x8000001BUL) & 0xFFFFFFFFUL; - return 1; - } else { - lfsr <<= 1; - return 0; - } -} - -int myrng(unsigned char *dst, int len, void *dat) -{ - int x; - - for (x = 0; x < len; x++) - dst[x] = rand() & 0xFF; - return len; -} - - - -char cmd[4096], buf[4096]; -int main(void) -{ - mp_int a, b, c, d, e, f; - unsigned long expt_n, add_n, sub_n, mul_n, div_n, sqr_n, mul2d_n, div2d_n, - gcd_n, lcm_n, inv_n, div2_n, mul2_n, add_d_n, sub_d_n, t; - unsigned rr; - int i, n, err, cnt, ix, old_kara_m, old_kara_s; - mp_digit mp; - - - mp_init(&a); - mp_init(&b); - mp_init(&c); - mp_init(&d); - mp_init(&e); - mp_init(&f); - - srand(time(NULL)); - -#if 0 - // test montgomery - printf("Testing montgomery...\n"); - for (i = 1; i < 10; i++) { - printf("Testing digit size: %d\n", i); - for (n = 0; n < 1000; n++) { - mp_rand(&a, i); - a.dp[0] |= 1; - - // let's see if R is right - mp_montgomery_calc_normalization(&b, &a); - mp_montgomery_setup(&a, &mp); - - // now test a random reduction - for (ix = 0; ix < 100; ix++) { - mp_rand(&c, 1 + abs(rand()) % (2*i)); - mp_copy(&c, &d); - mp_copy(&c, &e); - - mp_mod(&d, &a, &d); - mp_montgomery_reduce(&c, &a, mp); - mp_mulmod(&c, &b, &a, &c); - - if (mp_cmp(&c, &d) != MP_EQ) { -printf("d = e mod a, c = e MOD a\n"); -mp_todecimal(&a, buf); printf("a = %s\n", buf); -mp_todecimal(&e, buf); printf("e = %s\n", buf); -mp_todecimal(&d, buf); printf("d = %s\n", buf); -mp_todecimal(&c, buf); printf("c = %s\n", buf); -printf("compare no compare!\n"); exit(EXIT_FAILURE); } - } - } - } - printf("done\n"); - - // test mp_get_int - printf("Testing: mp_get_int\n"); - for (i = 0; i < 1000; ++i) { - t = ((unsigned long) rand() * rand() + 1) & 0xFFFFFFFF; - mp_set_int(&a, t); - if (t != mp_get_int(&a)) { - printf("mp_get_int() bad result!\n"); - return 1; - } - } - mp_set_int(&a, 0); - if (mp_get_int(&a) != 0) { - printf("mp_get_int() bad result!\n"); - return 1; - } - mp_set_int(&a, 0xffffffff); - if (mp_get_int(&a) != 0xffffffff) { - printf("mp_get_int() bad result!\n"); - return 1; - } - // test mp_sqrt - printf("Testing: mp_sqrt\n"); - for (i = 0; i < 1000; ++i) { - printf("%6d\r", i); - fflush(stdout); - n = (rand() & 15) + 1; - mp_rand(&a, n); - if (mp_sqrt(&a, &b) != MP_OKAY) { - printf("mp_sqrt() error!\n"); - return 1; - } - mp_n_root(&a, 2, &a); - if (mp_cmp_mag(&b, &a) != MP_EQ) { - printf("mp_sqrt() bad result!\n"); - return 1; - } - } - - printf("\nTesting: mp_is_square\n"); - for (i = 0; i < 1000; ++i) { - printf("%6d\r", i); - fflush(stdout); - - /* test mp_is_square false negatives */ - n = (rand() & 7) + 1; - mp_rand(&a, n); - mp_sqr(&a, &a); - if (mp_is_square(&a, &n) != MP_OKAY) { - printf("fn:mp_is_square() error!\n"); - return 1; - } - if (n == 0) { - printf("fn:mp_is_square() bad result!\n"); - return 1; - } - - /* test for false positives */ - mp_add_d(&a, 1, &a); - if (mp_is_square(&a, &n) != MP_OKAY) { - printf("fp:mp_is_square() error!\n"); - return 1; - } - if (n == 1) { - printf("fp:mp_is_square() bad result!\n"); - return 1; - } - - } - printf("\n\n"); - - /* test for size */ - for (ix = 10; ix < 128; ix++) { - printf("Testing (not safe-prime): %9d bits \r", ix); - fflush(stdout); - err = - mp_prime_random_ex(&a, 8, ix, - (rand() & 1) ? LTM_PRIME_2MSB_OFF : - LTM_PRIME_2MSB_ON, myrng, NULL); - if (err != MP_OKAY) { - printf("failed with err code %d\n", err); - return EXIT_FAILURE; - } - if (mp_count_bits(&a) != ix) { - printf("Prime is %d not %d bits!!!\n", mp_count_bits(&a), ix); - return EXIT_FAILURE; - } - } - - for (ix = 16; ix < 128; ix++) { - printf("Testing ( safe-prime): %9d bits \r", ix); - fflush(stdout); - err = - mp_prime_random_ex(&a, 8, ix, - ((rand() & 1) ? LTM_PRIME_2MSB_OFF : - LTM_PRIME_2MSB_ON) | LTM_PRIME_SAFE, myrng, - NULL); - if (err != MP_OKAY) { - printf("failed with err code %d\n", err); - return EXIT_FAILURE; - } - if (mp_count_bits(&a) != ix) { - printf("Prime is %d not %d bits!!!\n", mp_count_bits(&a), ix); - return EXIT_FAILURE; - } - /* let's see if it's really a safe prime */ - mp_sub_d(&a, 1, &a); - mp_div_2(&a, &a); - mp_prime_is_prime(&a, 8, &cnt); - if (cnt != MP_YES) { - printf("sub is not prime!\n"); - return EXIT_FAILURE; - } - } - - printf("\n\n"); - - mp_read_radix(&a, "123456", 10); - mp_toradix_n(&a, buf, 10, 3); - printf("a == %s\n", buf); - mp_toradix_n(&a, buf, 10, 4); - printf("a == %s\n", buf); - mp_toradix_n(&a, buf, 10, 30); - printf("a == %s\n", buf); - - -#if 0 - for (;;) { - fgets(buf, sizeof(buf), stdin); - mp_read_radix(&a, buf, 10); - mp_prime_next_prime(&a, 5, 1); - mp_toradix(&a, buf, 10); - printf("%s, %lu\n", buf, a.dp[0] & 3); - } -#endif - - /* test mp_cnt_lsb */ - printf("testing mp_cnt_lsb...\n"); - mp_set(&a, 1); - for (ix = 0; ix < 1024; ix++) { - if (mp_cnt_lsb(&a) != ix) { - printf("Failed at %d, %d\n", ix, mp_cnt_lsb(&a)); - return 0; - } - mp_mul_2(&a, &a); - } - -/* test mp_reduce_2k */ - printf("Testing mp_reduce_2k...\n"); - for (cnt = 3; cnt <= 128; ++cnt) { - mp_digit tmp; - - mp_2expt(&a, cnt); - mp_sub_d(&a, 2, &a); /* a = 2**cnt - 2 */ - - - printf("\nTesting %4d bits", cnt); - printf("(%d)", mp_reduce_is_2k(&a)); - mp_reduce_2k_setup(&a, &tmp); - printf("(%d)", tmp); - for (ix = 0; ix < 1000; ix++) { - if (!(ix & 127)) { - printf("."); - fflush(stdout); - } - mp_rand(&b, (cnt / DIGIT_BIT + 1) * 2); - mp_copy(&c, &b); - mp_mod(&c, &a, &c); - mp_reduce_2k(&b, &a, 2); - if (mp_cmp(&c, &b)) { - printf("FAILED\n"); - exit(0); - } - } - } - -/* test mp_div_3 */ - printf("Testing mp_div_3...\n"); - mp_set(&d, 3); - for (cnt = 0; cnt < 10000;) { - mp_digit r1, r2; - - if (!(++cnt & 127)) - printf("%9d\r", cnt); - mp_rand(&a, abs(rand()) % 128 + 1); - mp_div(&a, &d, &b, &e); - mp_div_3(&a, &c, &r2); - - if (mp_cmp(&b, &c) || mp_cmp_d(&e, r2)) { - printf("\n\nmp_div_3 => Failure\n"); - } - } - printf("\n\nPassed div_3 testing\n"); - -/* test the DR reduction */ - printf("testing mp_dr_reduce...\n"); - for (cnt = 2; cnt < 32; cnt++) { - printf("%d digit modulus\n", cnt); - mp_grow(&a, cnt); - mp_zero(&a); - for (ix = 1; ix < cnt; ix++) { - a.dp[ix] = MP_MASK; - } - a.used = cnt; - a.dp[0] = 3; - - mp_rand(&b, cnt - 1); - mp_copy(&b, &c); - - rr = 0; - do { - if (!(rr & 127)) { - printf("%9lu\r", rr); - fflush(stdout); - } - mp_sqr(&b, &b); - mp_add_d(&b, 1, &b); - mp_copy(&b, &c); - - mp_mod(&b, &a, &b); - mp_dr_reduce(&c, &a, (((mp_digit) 1) << DIGIT_BIT) - a.dp[0]); - - if (mp_cmp(&b, &c) != MP_EQ) { - printf("Failed on trial %lu\n", rr); - exit(-1); - - } - } while (++rr < 500); - printf("Passed DR test for %d digits\n", cnt); - } - -#endif - -/* test the mp_reduce_2k_l code */ -#if 0 -#if 0 -/* first load P with 2^1024 - 0x2A434 B9FDEC95 D8F9D550 FFFFFFFF FFFFFFFF */ - mp_2expt(&a, 1024); - mp_read_radix(&b, "2A434B9FDEC95D8F9D550FFFFFFFFFFFFFFFF", 16); - mp_sub(&a, &b, &a); -#elif 1 -/* p = 2^2048 - 0x1 00000000 00000000 00000000 00000000 4945DDBF 8EA2A91D 5776399B B83E188F */ - mp_2expt(&a, 2048); - mp_read_radix(&b, - "1000000000000000000000000000000004945DDBF8EA2A91D5776399BB83E188F", - 16); - mp_sub(&a, &b, &a); -#endif - - mp_todecimal(&a, buf); - printf("p==%s\n", buf); -/* now mp_reduce_is_2k_l() should return */ - if (mp_reduce_is_2k_l(&a) != 1) { - printf("mp_reduce_is_2k_l() return 0, should be 1\n"); - return EXIT_FAILURE; - } - mp_reduce_2k_setup_l(&a, &d); - /* now do a million square+1 to see if it varies */ - mp_rand(&b, 64); - mp_mod(&b, &a, &b); - mp_copy(&b, &c); - printf("testing mp_reduce_2k_l..."); - fflush(stdout); - for (cnt = 0; cnt < (1UL << 20); cnt++) { - mp_sqr(&b, &b); - mp_add_d(&b, 1, &b); - mp_reduce_2k_l(&b, &a, &d); - mp_sqr(&c, &c); - mp_add_d(&c, 1, &c); - mp_mod(&c, &a, &c); - if (mp_cmp(&b, &c) != MP_EQ) { - printf("mp_reduce_2k_l() failed at step %lu\n", cnt); - mp_tohex(&b, buf); - printf("b == %s\n", buf); - mp_tohex(&c, buf); - printf("c == %s\n", buf); - return EXIT_FAILURE; - } - } - printf("...Passed\n"); -#endif - - div2_n = mul2_n = inv_n = expt_n = lcm_n = gcd_n = add_n = - sub_n = mul_n = div_n = sqr_n = mul2d_n = div2d_n = cnt = add_d_n = - sub_d_n = 0; - - /* force KARA and TOOM to enable despite cutoffs */ - KARATSUBA_SQR_CUTOFF = KARATSUBA_MUL_CUTOFF = 8; - TOOM_SQR_CUTOFF = TOOM_MUL_CUTOFF = 16; - - for (;;) { - /* randomly clear and re-init one variable, this has the affect of triming the alloc space */ - switch (abs(rand()) % 7) { - case 0: - mp_clear(&a); - mp_init(&a); - break; - case 1: - mp_clear(&b); - mp_init(&b); - break; - case 2: - mp_clear(&c); - mp_init(&c); - break; - case 3: - mp_clear(&d); - mp_init(&d); - break; - case 4: - mp_clear(&e); - mp_init(&e); - break; - case 5: - mp_clear(&f); - mp_init(&f); - break; - case 6: - break; /* don't clear any */ - } - - - printf - ("%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu ", - add_n, sub_n, mul_n, div_n, sqr_n, mul2d_n, div2d_n, gcd_n, lcm_n, - expt_n, inv_n, div2_n, mul2_n, add_d_n, sub_d_n); - fgets(cmd, 4095, stdin); - cmd[strlen(cmd) - 1] = 0; - printf("%s ]\r", cmd); - fflush(stdout); - if (!strcmp(cmd, "mul2d")) { - ++mul2d_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - sscanf(buf, "%d", &rr); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - - mp_mul_2d(&a, rr, &a); - a.sign = b.sign; - if (mp_cmp(&a, &b) != MP_EQ) { - printf("mul2d failed, rr == %d\n", rr); - draw(&a); - draw(&b); - return 0; - } - } else if (!strcmp(cmd, "div2d")) { - ++div2d_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - sscanf(buf, "%d", &rr); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - - mp_div_2d(&a, rr, &a, &e); - a.sign = b.sign; - if (a.used == b.used && a.used == 0) { - a.sign = b.sign = MP_ZPOS; - } - if (mp_cmp(&a, &b) != MP_EQ) { - printf("div2d failed, rr == %d\n", rr); - draw(&a); - draw(&b); - return 0; - } - } else if (!strcmp(cmd, "add")) { - ++add_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&c, buf, 64); - mp_copy(&a, &d); - mp_add(&d, &b, &d); - if (mp_cmp(&c, &d) != MP_EQ) { - printf("add %lu failure!\n", add_n); - draw(&a); - draw(&b); - draw(&c); - draw(&d); - return 0; - } - - /* test the sign/unsigned storage functions */ - - rr = mp_signed_bin_size(&c); - mp_to_signed_bin(&c, (unsigned char *) cmd); - memset(cmd + rr, rand() & 255, sizeof(cmd) - rr); - mp_read_signed_bin(&d, (unsigned char *) cmd, rr); - if (mp_cmp(&c, &d) != MP_EQ) { - printf("mp_signed_bin failure!\n"); - draw(&c); - draw(&d); - return 0; - } - - - rr = mp_unsigned_bin_size(&c); - mp_to_unsigned_bin(&c, (unsigned char *) cmd); - memset(cmd + rr, rand() & 255, sizeof(cmd) - rr); - mp_read_unsigned_bin(&d, (unsigned char *) cmd, rr); - if (mp_cmp_mag(&c, &d) != MP_EQ) { - printf("mp_unsigned_bin failure!\n"); - draw(&c); - draw(&d); - return 0; - } - - } else if (!strcmp(cmd, "sub")) { - ++sub_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&c, buf, 64); - mp_copy(&a, &d); - mp_sub(&d, &b, &d); - if (mp_cmp(&c, &d) != MP_EQ) { - printf("sub %lu failure!\n", sub_n); - draw(&a); - draw(&b); - draw(&c); - draw(&d); - return 0; - } - } else if (!strcmp(cmd, "mul")) { - ++mul_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&c, buf, 64); - mp_copy(&a, &d); - mp_mul(&d, &b, &d); - if (mp_cmp(&c, &d) != MP_EQ) { - printf("mul %lu failure!\n", mul_n); - draw(&a); - draw(&b); - draw(&c); - draw(&d); - return 0; - } - } else if (!strcmp(cmd, "div")) { - ++div_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&c, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&d, buf, 64); - - mp_div(&a, &b, &e, &f); - if (mp_cmp(&c, &e) != MP_EQ || mp_cmp(&d, &f) != MP_EQ) { - printf("div %lu %d, %d, failure!\n", div_n, mp_cmp(&c, &e), - mp_cmp(&d, &f)); - draw(&a); - draw(&b); - draw(&c); - draw(&d); - draw(&e); - draw(&f); - return 0; - } - - } else if (!strcmp(cmd, "sqr")) { - ++sqr_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - mp_copy(&a, &c); - mp_sqr(&c, &c); - if (mp_cmp(&b, &c) != MP_EQ) { - printf("sqr %lu failure!\n", sqr_n); - draw(&a); - draw(&b); - draw(&c); - return 0; - } - } else if (!strcmp(cmd, "gcd")) { - ++gcd_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&c, buf, 64); - mp_copy(&a, &d); - mp_gcd(&d, &b, &d); - d.sign = c.sign; - if (mp_cmp(&c, &d) != MP_EQ) { - printf("gcd %lu failure!\n", gcd_n); - draw(&a); - draw(&b); - draw(&c); - draw(&d); - return 0; - } - } else if (!strcmp(cmd, "lcm")) { - ++lcm_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&c, buf, 64); - mp_copy(&a, &d); - mp_lcm(&d, &b, &d); - d.sign = c.sign; - if (mp_cmp(&c, &d) != MP_EQ) { - printf("lcm %lu failure!\n", lcm_n); - draw(&a); - draw(&b); - draw(&c); - draw(&d); - return 0; - } - } else if (!strcmp(cmd, "expt")) { - ++expt_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&c, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&d, buf, 64); - mp_copy(&a, &e); - mp_exptmod(&e, &b, &c, &e); - if (mp_cmp(&d, &e) != MP_EQ) { - printf("expt %lu failure!\n", expt_n); - draw(&a); - draw(&b); - draw(&c); - draw(&d); - draw(&e); - return 0; - } - } else if (!strcmp(cmd, "invmod")) { - ++inv_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&c, buf, 64); - mp_invmod(&a, &b, &d); - mp_mulmod(&d, &a, &b, &e); - if (mp_cmp_d(&e, 1) != MP_EQ) { - printf("inv [wrong value from MPI?!] failure\n"); - draw(&a); - draw(&b); - draw(&c); - draw(&d); - mp_gcd(&a, &b, &e); - draw(&e); - return 0; - } - - } else if (!strcmp(cmd, "div2")) { - ++div2_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - mp_div_2(&a, &c); - if (mp_cmp(&c, &b) != MP_EQ) { - printf("div_2 %lu failure\n", div2_n); - draw(&a); - draw(&b); - draw(&c); - return 0; - } - } else if (!strcmp(cmd, "mul2")) { - ++mul2_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - mp_mul_2(&a, &c); - if (mp_cmp(&c, &b) != MP_EQ) { - printf("mul_2 %lu failure\n", mul2_n); - draw(&a); - draw(&b); - draw(&c); - return 0; - } - } else if (!strcmp(cmd, "add_d")) { - ++add_d_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - sscanf(buf, "%d", &ix); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - mp_add_d(&a, ix, &c); - if (mp_cmp(&b, &c) != MP_EQ) { - printf("add_d %lu failure\n", add_d_n); - draw(&a); - draw(&b); - draw(&c); - printf("d == %d\n", ix); - return 0; - } - } else if (!strcmp(cmd, "sub_d")) { - ++sub_d_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - sscanf(buf, "%d", &ix); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - mp_sub_d(&a, ix, &c); - if (mp_cmp(&b, &c) != MP_EQ) { - printf("sub_d %lu failure\n", sub_d_n); - draw(&a); - draw(&b); - draw(&c); - printf("d == %d\n", ix); - return 0; - } - } - } - return 0; -} diff --git a/libtommath/demo/timing.c b/libtommath/demo/timing.c deleted file mode 100644 index bb3be52..0000000 --- a/libtommath/demo/timing.c +++ /dev/null @@ -1,315 +0,0 @@ -#include -#include - -ulong64 _tt; - -#ifdef IOWNANATHLON -#include -#define SLEEP sleep(4) -#else -#define SLEEP -#endif - - -void ndraw(mp_int * a, char *name) -{ - char buf[4096]; - - printf("%s: ", name); - mp_toradix(a, buf, 64); - printf("%s\n", buf); -} - -static void draw(mp_int * a) -{ - ndraw(a, ""); -} - - -unsigned long lfsr = 0xAAAAAAAAUL; - -int lbit(void) -{ - if (lfsr & 0x80000000UL) { - lfsr = ((lfsr << 1) ^ 0x8000001BUL) & 0xFFFFFFFFUL; - return 1; - } else { - lfsr <<= 1; - return 0; - } -} - -/* RDTSC from Scott Duplichan */ -static ulong64 TIMFUNC(void) -{ -#if defined __GNUC__ -#if defined(__i386__) || defined(__x86_64__) - unsigned long long a; - __asm__ __volatile__("rdtsc\nmovl %%eax,%0\nmovl %%edx,4+%0\n":: - "m"(a):"%eax", "%edx"); - return a; -#else /* gcc-IA64 version */ - unsigned long result; - __asm__ __volatile__("mov %0=ar.itc":"=r"(result)::"memory"); - - while (__builtin_expect((int) result == -1, 0)) - __asm__ __volatile__("mov %0=ar.itc":"=r"(result)::"memory"); - - return result; -#endif - - // Microsoft and Intel Windows compilers -#elif defined _M_IX86 - __asm rdtsc -#elif defined _M_AMD64 - return __rdtsc(); -#elif defined _M_IA64 -#if defined __INTEL_COMPILER -#include -#endif - return __getReg(3116); -#else -#error need rdtsc function for this build -#endif -} - -#define DO(x) x; x; -//#define DO4(x) DO2(x); DO2(x); -//#define DO8(x) DO4(x); DO4(x); -//#define DO(x) DO8(x); DO8(x); - -int main(void) -{ - ulong64 tt, gg, CLK_PER_SEC; - FILE *log, *logb, *logc, *logd; - mp_int a, b, c, d, e, f; - int n, cnt, ix, old_kara_m, old_kara_s; - unsigned rr; - - mp_init(&a); - mp_init(&b); - mp_init(&c); - mp_init(&d); - mp_init(&e); - mp_init(&f); - - srand(time(NULL)); - - - /* temp. turn off TOOM */ - TOOM_MUL_CUTOFF = TOOM_SQR_CUTOFF = 100000; - - CLK_PER_SEC = TIMFUNC(); - sleep(1); - CLK_PER_SEC = TIMFUNC() - CLK_PER_SEC; - - printf("CLK_PER_SEC == %llu\n", CLK_PER_SEC); - goto exptmod; - log = fopen("logs/add.log", "w"); - for (cnt = 8; cnt <= 128; cnt += 8) { - SLEEP; - mp_rand(&a, cnt); - mp_rand(&b, cnt); - rr = 0; - tt = -1; - do { - gg = TIMFUNC(); - DO(mp_add(&a, &b, &c)); - gg = (TIMFUNC() - gg) >> 1; - if (tt > gg) - tt = gg; - } while (++rr < 100000); - printf("Adding\t\t%4d-bit => %9llu/sec, %9llu cycles\n", - mp_count_bits(&a), CLK_PER_SEC / tt, tt); - fprintf(log, "%d %9llu\n", cnt * DIGIT_BIT, tt); - fflush(log); - } - fclose(log); - - log = fopen("logs/sub.log", "w"); - for (cnt = 8; cnt <= 128; cnt += 8) { - SLEEP; - mp_rand(&a, cnt); - mp_rand(&b, cnt); - rr = 0; - tt = -1; - do { - gg = TIMFUNC(); - DO(mp_sub(&a, &b, &c)); - gg = (TIMFUNC() - gg) >> 1; - if (tt > gg) - tt = gg; - } while (++rr < 100000); - - printf("Subtracting\t\t%4d-bit => %9llu/sec, %9llu cycles\n", - mp_count_bits(&a), CLK_PER_SEC / tt, tt); - fprintf(log, "%d %9llu\n", cnt * DIGIT_BIT, tt); - fflush(log); - } - fclose(log); - - /* do mult/square twice, first without karatsuba and second with */ - multtest: - old_kara_m = KARATSUBA_MUL_CUTOFF; - old_kara_s = KARATSUBA_SQR_CUTOFF; - for (ix = 0; ix < 2; ix++) { - printf("With%s Karatsuba\n", (ix == 0) ? "out" : ""); - - KARATSUBA_MUL_CUTOFF = (ix == 0) ? 9999 : old_kara_m; - KARATSUBA_SQR_CUTOFF = (ix == 0) ? 9999 : old_kara_s; - - log = fopen((ix == 0) ? "logs/mult.log" : "logs/mult_kara.log", "w"); - for (cnt = 4; cnt <= 10240 / DIGIT_BIT; cnt += 2) { - SLEEP; - mp_rand(&a, cnt); - mp_rand(&b, cnt); - rr = 0; - tt = -1; - do { - gg = TIMFUNC(); - DO(mp_mul(&a, &b, &c)); - gg = (TIMFUNC() - gg) >> 1; - if (tt > gg) - tt = gg; - } while (++rr < 100); - printf("Multiplying\t%4d-bit => %9llu/sec, %9llu cycles\n", - mp_count_bits(&a), CLK_PER_SEC / tt, tt); - fprintf(log, "%d %9llu\n", mp_count_bits(&a), tt); - fflush(log); - } - fclose(log); - - log = fopen((ix == 0) ? "logs/sqr.log" : "logs/sqr_kara.log", "w"); - for (cnt = 4; cnt <= 10240 / DIGIT_BIT; cnt += 2) { - SLEEP; - mp_rand(&a, cnt); - rr = 0; - tt = -1; - do { - gg = TIMFUNC(); - DO(mp_sqr(&a, &b)); - gg = (TIMFUNC() - gg) >> 1; - if (tt > gg) - tt = gg; - } while (++rr < 100); - printf("Squaring\t%4d-bit => %9llu/sec, %9llu cycles\n", - mp_count_bits(&a), CLK_PER_SEC / tt, tt); - fprintf(log, "%d %9llu\n", mp_count_bits(&a), tt); - fflush(log); - } - fclose(log); - - } - exptmod: - - { - char *primes[] = { - /* 2K large moduli */ - "179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586239334100047359817950870678242457666208137217", - "32317006071311007300714876688669951960444102669715484032130345427524655138867890893197201411522913463688717960921898019494119559150490921095088152386448283120630877367300996091750197750389652106796057638384067568276792218642619756161838094338476170470581645852036305042887575891541065808607552399123930385521914333389668342420684974786564569494856176035326322058077805659331026192708460314150258592864177116725943603718461857357598351152301645904403697613233287231227125684710820209725157101726931323469678542580656697935045997268352998638099733077152121140120031150424541696791951097529546801429027668869927491725169", - "1044388881413152506691752710716624382579964249047383780384233483283953907971557456848826811934997558340890106714439262837987573438185793607263236087851365277945956976543709998340361590134383718314428070011855946226376318839397712745672334684344586617496807908705803704071284048740118609114467977783598029006686938976881787785946905630190260940599579453432823469303026696443059025015972399867714215541693835559885291486318237914434496734087811872639496475100189041349008417061675093668333850551032972088269550769983616369411933015213796825837188091833656751221318492846368125550225998300412344784862595674492194617023806505913245610825731835380087608622102834270197698202313169017678006675195485079921636419370285375124784014907159135459982790513399611551794271106831134090584272884279791554849782954323534517065223269061394905987693002122963395687782878948440616007412945674919823050571642377154816321380631045902916136926708342856440730447899971901781465763473223850267253059899795996090799469201774624817718449867455659250178329070473119433165550807568221846571746373296884912819520317457002440926616910874148385078411929804522981857338977648103126085902995208257421855249796721729039744118165938433694823325696642096892124547425283", - /* 2K moduli mersenne primes */ - "6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057151", - "531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728127", - "10407932194664399081925240327364085538615262247266704805319112350403608059673360298012239441732324184842421613954281007791383566248323464908139906605677320762924129509389220345773183349661583550472959420547689811211693677147548478866962501384438260291732348885311160828538416585028255604666224831890918801847068222203140521026698435488732958028878050869736186900714720710555703168729087", - "1475979915214180235084898622737381736312066145333169775147771216478570297878078949377407337049389289382748507531496480477281264838760259191814463365330269540496961201113430156902396093989090226259326935025281409614983499388222831448598601834318536230923772641390209490231836446899608210795482963763094236630945410832793769905399982457186322944729636418890623372171723742105636440368218459649632948538696905872650486914434637457507280441823676813517852099348660847172579408422316678097670224011990280170474894487426924742108823536808485072502240519452587542875349976558572670229633962575212637477897785501552646522609988869914013540483809865681250419497686697771007", - "259117086013202627776246767922441530941818887553125427303974923161874019266586362086201209516800483406550695241733194177441689509238807017410377709597512042313066624082916353517952311186154862265604547691127595848775610568757931191017711408826252153849035830401185072116424747461823031471398340229288074545677907941037288235820705892351068433882986888616658650280927692080339605869308790500409503709875902119018371991620994002568935113136548829739112656797303241986517250116412703509705427773477972349821676443446668383119322540099648994051790241624056519054483690809616061625743042361721863339415852426431208737266591962061753535748892894599629195183082621860853400937932839420261866586142503251450773096274235376822938649407127700846077124211823080804139298087057504713825264571448379371125032081826126566649084251699453951887789613650248405739378594599444335231188280123660406262468609212150349937584782292237144339628858485938215738821232393687046160677362909315071", - "190797007524439073807468042969529173669356994749940177394741882673528979787005053706368049835514900244303495954950709725762186311224148828811920216904542206960744666169364221195289538436845390250168663932838805192055137154390912666527533007309292687539092257043362517857366624699975402375462954490293259233303137330643531556539739921926201438606439020075174723029056838272505051571967594608350063404495977660656269020823960825567012344189908927956646011998057988548630107637380993519826582389781888135705408653045219655801758081251164080554609057468028203308718724654081055323215860189611391296030471108443146745671967766308925858547271507311563765171008318248647110097614890313562856541784154881743146033909602737947385055355960331855614540900081456378659068370317267696980001187750995491090350108417050917991562167972281070161305972518044872048331306383715094854938415738549894606070722584737978176686422134354526989443028353644037187375385397838259511833166416134323695660367676897722287918773420968982326089026150031515424165462111337527431154890666327374921446276833564519776797633875503548665093914556482031482248883127023777039667707976559857333357013727342079099064400455741830654320379350833236245819348824064783585692924881021978332974949906122664421376034687815350484991", - - /* DR moduli */ - "14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203368612079", - "101745825697019260773923519755878567461315282017759829107608914364075275235254395622580447400994175578963163918967182013639660669771108475957692810857098847138903161308502419410142185759152435680068435915159402496058513611411688900243039", - "736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140821797602431", - "38564998830736521417281865696453025806593491967131023221754800625044118265468851210705360385717536794615180260494208076605798671660719333199513807806252394423283413430106003596332513246682903994829528690198205120921557533726473585751382193953592127439965050261476810842071573684505878854588706623484573925925903505747545471088867712185004135201289273405614415899438276535626346098904241020877974002916168099951885406379295536200413493190419727789712076165162175783", - "542189391331696172661670440619180536749994166415993334151601745392193484590296600979602378676624808129613777993466242203025054573692562689251250471628358318743978285860720148446448885701001277560572526947619392551574490839286458454994488665744991822837769918095117129546414124448777033941223565831420390846864429504774477949153794689948747680362212954278693335653935890352619041936727463717926744868338358149568368643403037768649616778526013610493696186055899318268339432671541328195724261329606699831016666359440874843103020666106568222401047720269951530296879490444224546654729111504346660859907296364097126834834235287147", - "1487259134814709264092032648525971038895865645148901180585340454985524155135260217788758027400478312256339496385275012465661575576202252063145698732079880294664220579764848767704076761853197216563262660046602703973050798218246170835962005598561669706844469447435461092542265792444947706769615695252256130901271870341005768912974433684521436211263358097522726462083917939091760026658925757076733484173202927141441492573799914240222628795405623953109131594523623353044898339481494120112723445689647986475279242446083151413667587008191682564376412347964146113898565886683139407005941383669325997475076910488086663256335689181157957571445067490187939553165903773554290260531009121879044170766615232300936675369451260747671432073394867530820527479172464106442450727640226503746586340279816318821395210726268291535648506190714616083163403189943334431056876038286530365757187367147446004855912033137386225053275419626102417236133948503", - "1095121115716677802856811290392395128588168592409109494900178008967955253005183831872715423151551999734857184538199864469605657805519106717529655044054833197687459782636297255219742994736751541815269727940751860670268774903340296040006114013971309257028332849679096824800250742691718610670812374272414086863715763724622797509437062518082383056050144624962776302147890521249477060215148275163688301275847155316042279405557632639366066847442861422164832655874655824221577849928863023018366835675399949740429332468186340518172487073360822220449055340582568461568645259954873303616953776393853174845132081121976327462740354930744487429617202585015510744298530101547706821590188733515880733527449780963163909830077616357506845523215289297624086914545378511082534229620116563260168494523906566709418166011112754529766183554579321224940951177394088465596712620076240067370589036924024728375076210477267488679008016579588696191194060127319035195370137160936882402244399699172017835144537488486396906144217720028992863941288217185353914991583400421682751000603596655790990815525126154394344641336397793791497068253936771017031980867706707490224041075826337383538651825493679503771934836094655802776331664261631740148281763487765852746577808019633679", - - /* generic unrestricted moduli */ - "17933601194860113372237070562165128350027320072176844226673287945873370751245439587792371960615073855669274087805055507977323024886880985062002853331424203", - "2893527720709661239493896562339544088620375736490408468011883030469939904368086092336458298221245707898933583190713188177399401852627749210994595974791782790253946539043962213027074922559572312141181787434278708783207966459019479487", - "347743159439876626079252796797422223177535447388206607607181663903045907591201940478223621722118173270898487582987137708656414344685816179420855160986340457973820182883508387588163122354089264395604796675278966117567294812714812796820596564876450716066283126720010859041484786529056457896367683122960411136319", - "47266428956356393164697365098120418976400602706072312735924071745438532218237979333351774907308168340693326687317443721193266215155735814510792148768576498491199122744351399489453533553203833318691678263241941706256996197460424029012419012634671862283532342656309677173602509498417976091509154360039893165037637034737020327399910409885798185771003505320583967737293415979917317338985837385734747478364242020380416892056650841470869294527543597349250299539682430605173321029026555546832473048600327036845781970289288898317888427517364945316709081173840186150794397479045034008257793436817683392375274635794835245695887", - "436463808505957768574894870394349739623346440601945961161254440072143298152040105676491048248110146278752857839930515766167441407021501229924721335644557342265864606569000117714935185566842453630868849121480179691838399545644365571106757731317371758557990781880691336695584799313313687287468894148823761785582982549586183756806449017542622267874275103877481475534991201849912222670102069951687572917937634467778042874315463238062009202992087620963771759666448266532858079402669920025224220613419441069718482837399612644978839925207109870840278194042158748845445131729137117098529028886770063736487420613144045836803985635654192482395882603511950547826439092832800532152534003936926017612446606135655146445620623395788978726744728503058670046885876251527122350275750995227", - "11424167473351836398078306042624362277956429440521137061889702611766348760692206243140413411077394583180726863277012016602279290144126785129569474909173584789822341986742719230331946072730319555984484911716797058875905400999504305877245849119687509023232790273637466821052576859232452982061831009770786031785669030271542286603956118755585683996118896215213488875253101894663403069677745948305893849505434201763745232895780711972432011344857521691017896316861403206449421332243658855453435784006517202894181640562433575390821384210960117518650374602256601091379644034244332285065935413233557998331562749140202965844219336298970011513882564935538704289446968322281451907487362046511461221329799897350993370560697505809686438782036235372137015731304779072430260986460269894522159103008260495503005267165927542949439526272736586626709581721032189532726389643625590680105784844246152702670169304203783072275089194754889511973916207", - "1214855636816562637502584060163403830270705000634713483015101384881871978446801224798536155406895823305035467591632531067547890948695117172076954220727075688048751022421198712032848890056357845974246560748347918630050853933697792254955890439720297560693579400297062396904306270145886830719309296352765295712183040773146419022875165382778007040109957609739589875590885701126197906063620133954893216612678838507540777138437797705602453719559017633986486649523611975865005712371194067612263330335590526176087004421363598470302731349138773205901447704682181517904064735636518462452242791676541725292378925568296858010151852326316777511935037531017413910506921922450666933202278489024521263798482237150056835746454842662048692127173834433089016107854491097456725016327709663199738238442164843147132789153725513257167915555162094970853584447993125488607696008169807374736711297007473812256272245489405898470297178738029484459690836250560495461579533254473316340608217876781986188705928270735695752830825527963838355419762516246028680280988020401914551825487349990306976304093109384451438813251211051597392127491464898797406789175453067960072008590614886532333015881171367104445044718144312416815712216611576221546455968770801413440778423979", - NULL - }; - log = fopen("logs/expt.log", "w"); - logb = fopen("logs/expt_dr.log", "w"); - logc = fopen("logs/expt_2k.log", "w"); - logd = fopen("logs/expt_2kl.log", "w"); - for (n = 0; primes[n]; n++) { - SLEEP; - mp_read_radix(&a, primes[n], 10); - mp_zero(&b); - for (rr = 0; rr < (unsigned) mp_count_bits(&a); rr++) { - mp_mul_2(&b, &b); - b.dp[0] |= lbit(); - b.used += 1; - } - mp_sub_d(&a, 1, &c); - mp_mod(&b, &c, &b); - mp_set(&c, 3); - rr = 0; - tt = -1; - do { - gg = TIMFUNC(); - DO(mp_exptmod(&c, &b, &a, &d)); - gg = (TIMFUNC() - gg) >> 1; - if (tt > gg) - tt = gg; - } while (++rr < 10); - mp_sub_d(&a, 1, &e); - mp_sub(&e, &b, &b); - mp_exptmod(&c, &b, &a, &e); /* c^(p-1-b) mod a */ - mp_mulmod(&e, &d, &a, &d); /* c^b * c^(p-1-b) == c^p-1 == 1 */ - if (mp_cmp_d(&d, 1)) { - printf("Different (%d)!!!\n", mp_count_bits(&a)); - draw(&d); - exit(0); - } - printf("Exponentiating\t%4d-bit => %9llu/sec, %9llu cycles\n", - mp_count_bits(&a), CLK_PER_SEC / tt, tt); - fprintf(n < 4 ? logd : (n < 9) ? logc : (n < 16) ? logb : log, - "%d %9llu\n", mp_count_bits(&a), tt); - } - } - fclose(log); - fclose(logb); - fclose(logc); - fclose(logd); - - log = fopen("logs/invmod.log", "w"); - for (cnt = 4; cnt <= 128; cnt += 4) { - SLEEP; - mp_rand(&a, cnt); - mp_rand(&b, cnt); - - do { - mp_add_d(&b, 1, &b); - mp_gcd(&a, &b, &c); - } while (mp_cmp_d(&c, 1) != MP_EQ); - - rr = 0; - tt = -1; - do { - gg = TIMFUNC(); - DO(mp_invmod(&b, &a, &c)); - gg = (TIMFUNC() - gg) >> 1; - if (tt > gg) - tt = gg; - } while (++rr < 1000); - mp_mulmod(&b, &c, &a, &d); - if (mp_cmp_d(&d, 1) != MP_EQ) { - printf("Failed to invert\n"); - return 0; - } - printf("Inverting mod\t%4d-bit => %9llu/sec, %9llu cycles\n", - mp_count_bits(&a), CLK_PER_SEC / tt, tt); - fprintf(log, "%d %9llu\n", cnt * DIGIT_BIT, tt); - } - fclose(log); - - return 0; -} diff --git a/libtommath/dep.pl b/libtommath/dep.pl index c39e27e..0a5d19a 100644 --- a/libtommath/dep.pl +++ b/libtommath/dep.pl @@ -68,7 +68,7 @@ foreach my $filename (glob "bn*.c") { $line = $'; # now $& is the match, we want to skip over LTM keywords like # mp_int, mp_word, mp_digit - if (!($& eq "mp_digit") && !($& eq "mp_word") && !($& eq "mp_int")) { + if (!($& eq "mp_digit") && !($& eq "mp_word") && !($& eq "mp_int") && !($& eq "mp_min_u32")) { my $a = $&; $a =~ tr/[a-z]/[A-Z]/; $a = "BN_" . $a . "_C"; diff --git a/libtommath/etc/2kprime.1 b/libtommath/etc/2kprime.1 deleted file mode 100644 index c41ded1..0000000 --- a/libtommath/etc/2kprime.1 +++ /dev/null @@ -1,2 +0,0 @@ -256-bits (k = 36113) = 115792089237316195423570985008687907853269984665640564039457584007913129603823 -512-bits (k = 38117) = 13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006045979 diff --git a/libtommath/etc/2kprime.c b/libtommath/etc/2kprime.c deleted file mode 100644 index 67a2777..0000000 --- a/libtommath/etc/2kprime.c +++ /dev/null @@ -1,75 +0,0 @@ -/* Makes safe primes of a 2k nature */ -#include -#include - -int sizes[] = {256, 512, 768, 1024, 1536, 2048, 3072, 4096}; - -int main(void) -{ - char buf[2000]; - int x, y; - mp_int q, p; - FILE *out; - clock_t t1; - mp_digit z; - - mp_init_multi(&q, &p, NULL); - - out = fopen("2kprime.1", "w"); - for (x = 0; x < (int)(sizeof(sizes) / sizeof(sizes[0])); x++) { - top: - mp_2expt(&q, sizes[x]); - mp_add_d(&q, 3, &q); - z = -3; - - t1 = clock(); - for(;;) { - mp_sub_d(&q, 4, &q); - z += 4; - - if (z > MP_MASK) { - printf("No primes of size %d found\n", sizes[x]); - break; - } - - if (clock() - t1 > CLOCKS_PER_SEC) { - printf("."); fflush(stdout); -// sleep((clock() - t1 + CLOCKS_PER_SEC/2)/CLOCKS_PER_SEC); - t1 = clock(); - } - - /* quick test on q */ - mp_prime_is_prime(&q, 1, &y); - if (y == 0) { - continue; - } - - /* find (q-1)/2 */ - mp_sub_d(&q, 1, &p); - mp_div_2(&p, &p); - mp_prime_is_prime(&p, 3, &y); - if (y == 0) { - continue; - } - - /* test on q */ - mp_prime_is_prime(&q, 3, &y); - if (y == 0) { - continue; - } - - break; - } - - if (y == 0) { - ++sizes[x]; - goto top; - } - - mp_toradix(&q, buf, 10); - printf("\n\n%d-bits (k = %lu) = %s\n", sizes[x], z, buf); - fprintf(out, "%d-bits (k = %lu) = %s\n", sizes[x], z, buf); fflush(out); - } - - return 0; -} diff --git a/libtommath/etc/drprime.c b/libtommath/etc/drprime.c deleted file mode 100644 index 0d0fdb9..0000000 --- a/libtommath/etc/drprime.c +++ /dev/null @@ -1,59 +0,0 @@ -/* Makes safe primes of a DR nature */ -#include - -int sizes[] = { 1+256/DIGIT_BIT, 1+512/DIGIT_BIT, 1+768/DIGIT_BIT, 1+1024/DIGIT_BIT, 1+2048/DIGIT_BIT, 1+4096/DIGIT_BIT }; -int main(void) -{ - int res, x, y; - char buf[4096]; - FILE *out; - mp_int a, b; - - mp_init(&a); - mp_init(&b); - - out = fopen("drprimes.txt", "w"); - for (x = 0; x < (int)(sizeof(sizes)/sizeof(sizes[0])); x++) { - top: - printf("Seeking a %d-bit safe prime\n", sizes[x] * DIGIT_BIT); - mp_grow(&a, sizes[x]); - mp_zero(&a); - for (y = 1; y < sizes[x]; y++) { - a.dp[y] = MP_MASK; - } - - /* make a DR modulus */ - a.dp[0] = -1; - a.used = sizes[x]; - - /* now loop */ - res = 0; - for (;;) { - a.dp[0] += 4; - if (a.dp[0] >= MP_MASK) break; - mp_prime_is_prime(&a, 1, &res); - if (res == 0) continue; - printf("."); fflush(stdout); - mp_sub_d(&a, 1, &b); - mp_div_2(&b, &b); - mp_prime_is_prime(&b, 3, &res); - if (res == 0) continue; - mp_prime_is_prime(&a, 3, &res); - if (res == 1) break; - } - - if (res != 1) { - printf("Error not DR modulus\n"); sizes[x] += 1; goto top; - } else { - mp_toradix(&a, buf, 10); - printf("\n\np == %s\n\n", buf); - fprintf(out, "%d-bit prime:\np == %s\n\n", mp_count_bits(&a), buf); fflush(out); - } - } - fclose(out); - - mp_clear(&a); - mp_clear(&b); - - return 0; -} diff --git a/libtommath/etc/drprimes.28 b/libtommath/etc/drprimes.28 deleted file mode 100644 index 9d438ad..0000000 --- a/libtommath/etc/drprimes.28 +++ /dev/null @@ -1,25 +0,0 @@ -DR safe primes for 28-bit digits. - -224-bit prime: -p == 26959946667150639794667015087019630673637144422540572481103341844143 - -532-bit prime: -p == 14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203368691747 - -784-bit prime: -p == 101745825697019260773923519755878567461315282017759829107608914364075275235254395622580447400994175578963163918967182013639660669771108475957692810857098847138903161308502419410142185759152435680068435915159402496058513611411688900243039 - -1036-bit prime: -p == 736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140821798437127 - -1540-bit prime: -p == 38564998830736521417281865696453025806593491967131023221754800625044118265468851210705360385717536794615180260494208076605798671660719333199513807806252394423283413430106003596332513246682903994829528690198205120921557533726473585751382193953592127439965050261476810842071573684505878854588706623484573925925903505747545471088867712185004135201289273405614415899438276535626346098904241020877974002916168099951885406379295536200413493190419727789712076165162175783 - -2072-bit prime: -p == 542189391331696172661670440619180536749994166415993334151601745392193484590296600979602378676624808129613777993466242203025054573692562689251250471628358318743978285860720148446448885701001277560572526947619392551574490839286458454994488665744991822837769918095117129546414124448777033941223565831420390846864429504774477949153794689948747680362212954278693335653935890352619041936727463717926744868338358149568368643403037768649616778526013610493696186055899318268339432671541328195724261329606699831016666359440874843103020666106568222401047720269951530296879490444224546654729111504346660859907296364097126834834235287147 - -3080-bit prime: -p == 1487259134814709264092032648525971038895865645148901180585340454985524155135260217788758027400478312256339496385275012465661575576202252063145698732079880294664220579764848767704076761853197216563262660046602703973050798218246170835962005598561669706844469447435461092542265792444947706769615695252256130901271870341005768912974433684521436211263358097522726462083917939091760026658925757076733484173202927141441492573799914240222628795405623953109131594523623353044898339481494120112723445689647986475279242446083151413667587008191682564376412347964146113898565886683139407005941383669325997475076910488086663256335689181157957571445067490187939553165903773554290260531009121879044170766615232300936675369451260747671432073394867530820527479172464106442450727640226503746586340279816318821395210726268291535648506190714616083163403189943334431056876038286530365757187367147446004855912033137386225053275419626102417236133948503 - -4116-bit prime: -p == 1095121115716677802856811290392395128588168592409109494900178008967955253005183831872715423151551999734857184538199864469605657805519106717529655044054833197687459782636297255219742994736751541815269727940751860670268774903340296040006114013971309257028332849679096824800250742691718610670812374272414086863715763724622797509437062518082383056050144624962776302147890521249477060215148275163688301275847155316042279405557632639366066847442861422164832655874655824221577849928863023018366835675399949740429332468186340518172487073360822220449055340582568461568645259954873303616953776393853174845132081121976327462740354930744487429617202585015510744298530101547706821590188733515880733527449780963163909830077616357506845523215289297624086914545378511082534229620116563260168494523906566709418166011112754529766183554579321224940951177394088465596712620076240067370589036924024728375076210477267488679008016579588696191194060127319035195370137160936882402244399699172017835144537488486396906144217720028992863941288217185353914991583400421682751000603596655790990815525126154394344641336397793791497068253936771017031980867706707490224041075826337383538651825493679503771934836094655802776331664261631740148281763487765852746577808019633679 diff --git a/libtommath/etc/drprimes.txt b/libtommath/etc/drprimes.txt deleted file mode 100644 index 7c97f67..0000000 --- a/libtommath/etc/drprimes.txt +++ /dev/null @@ -1,9 +0,0 @@ -300-bit prime: -p == 2037035976334486086268445688409378161051468393665936250636140449354381298610415201576637819 - -540-bit prime: -p == 3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206810991770626477344739 - -780-bit prime: -p == 6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003655947791725966271167 - diff --git a/libtommath/etc/makefile b/libtommath/etc/makefile deleted file mode 100644 index 99154d8..0000000 --- a/libtommath/etc/makefile +++ /dev/null @@ -1,50 +0,0 @@ -CFLAGS += -Wall -W -Wshadow -O3 -fomit-frame-pointer -funroll-loops -I../ - -# default lib name (requires install with root) -# LIBNAME=-ltommath - -# libname when you can't install the lib with install -LIBNAME=../libtommath.a - -#provable primes -pprime: pprime.o - $(CC) pprime.o $(LIBNAME) -o pprime - -# portable [well requires clock()] tuning app -tune: tune.o - $(CC) tune.o $(LIBNAME) -o tune - -# same app but using RDTSC for higher precision [requires 80586+], coff based gcc installs [e.g. ming, cygwin, djgpp] -tune86: tune.c - nasm -f coff timer.asm - $(CC) -DX86_TIMER $(CFLAGS) tune.c timer.o $(LIBNAME) -o tune86 - -# for cygwin -tune86c: tune.c - nasm -f gnuwin32 timer.asm - $(CC) -DX86_TIMER $(CFLAGS) tune.c timer.o $(LIBNAME) -o tune86 - -#make tune86 for linux or any ELF format -tune86l: tune.c - nasm -f elf -DUSE_ELF timer.asm - $(CC) -DX86_TIMER $(CFLAGS) tune.c timer.o $(LIBNAME) -o tune86l - -# spits out mersenne primes -mersenne: mersenne.o - $(CC) mersenne.o $(LIBNAME) -o mersenne - -# fines DR safe primes for the given config -drprime: drprime.o - $(CC) drprime.o $(LIBNAME) -o drprime - -# fines 2k safe primes for the given config -2kprime: 2kprime.o - $(CC) 2kprime.o $(LIBNAME) -o 2kprime - -mont: mont.o - $(CC) mont.o $(LIBNAME) -o mont - - -clean: - rm -f *.log *.o *.obj *.exe pprime tune mersenne drprime tune86 tune86l mont 2kprime pprime.dat \ - *.da *.dyn *.dpi *~ diff --git a/libtommath/etc/makefile.icc b/libtommath/etc/makefile.icc deleted file mode 100644 index 8a1ffff..0000000 --- a/libtommath/etc/makefile.icc +++ /dev/null @@ -1,67 +0,0 @@ -CC = icc - -CFLAGS += -I../ - -# optimize for SPEED -# -# -mcpu= can be pentium, pentiumpro (covers PII through PIII) or pentium4 -# -ax? specifies make code specifically for ? but compatible with IA-32 -# -x? specifies compile solely for ? [not specifically IA-32 compatible] -# -# where ? is -# K - PIII -# W - first P4 [Williamette] -# N - P4 Northwood -# P - P4 Prescott -# B - Blend of P4 and PM [mobile] -# -# Default to just generic max opts -CFLAGS += -O3 -xP -ip - -# default lib name (requires install with root) -# LIBNAME=-ltommath - -# libname when you can't install the lib with install -LIBNAME=../libtommath.a - -#provable primes -pprime: pprime.o - $(CC) pprime.o $(LIBNAME) -o pprime - -# portable [well requires clock()] tuning app -tune: tune.o - $(CC) tune.o $(LIBNAME) -o tune - -# same app but using RDTSC for higher precision [requires 80586+], coff based gcc installs [e.g. ming, cygwin, djgpp] -tune86: tune.c - nasm -f coff timer.asm - $(CC) -DX86_TIMER $(CFLAGS) tune.c timer.o $(LIBNAME) -o tune86 - -# for cygwin -tune86c: tune.c - nasm -f gnuwin32 timer.asm - $(CC) -DX86_TIMER $(CFLAGS) tune.c timer.o $(LIBNAME) -o tune86 - -#make tune86 for linux or any ELF format -tune86l: tune.c - nasm -f elf -DUSE_ELF timer.asm - $(CC) -DX86_TIMER $(CFLAGS) tune.c timer.o $(LIBNAME) -o tune86l - -# spits out mersenne primes -mersenne: mersenne.o - $(CC) mersenne.o $(LIBNAME) -o mersenne - -# fines DR safe primes for the given config -drprime: drprime.o - $(CC) drprime.o $(LIBNAME) -o drprime - -# fines 2k safe primes for the given config -2kprime: 2kprime.o - $(CC) 2kprime.o $(LIBNAME) -o 2kprime - -mont: mont.o - $(CC) mont.o $(LIBNAME) -o mont - - -clean: - rm -f *.log *.o *.obj *.exe pprime tune mersenne drprime tune86 tune86l mont 2kprime pprime.dat *.il diff --git a/libtommath/etc/makefile.msvc b/libtommath/etc/makefile.msvc deleted file mode 100644 index 2833372..0000000 --- a/libtommath/etc/makefile.msvc +++ /dev/null @@ -1,23 +0,0 @@ -#MSVC Makefile -# -#Tom St Denis - -CFLAGS = /I../ /Ox /DWIN32 /W3 - -pprime: pprime.obj - cl pprime.obj ../tommath.lib - -mersenne: mersenne.obj - cl mersenne.obj ../tommath.lib - -tune: tune.obj - cl tune.obj ../tommath.lib - -mont: mont.obj - cl mont.obj ../tommath.lib - -drprime: drprime.obj - cl drprime.obj ../tommath.lib - -2kprime: 2kprime.obj - cl 2kprime.obj ../tommath.lib diff --git a/libtommath/etc/mersenne.c b/libtommath/etc/mersenne.c deleted file mode 100644 index 28ac834..0000000 --- a/libtommath/etc/mersenne.c +++ /dev/null @@ -1,140 +0,0 @@ -/* Finds Mersenne primes using the Lucas-Lehmer test - * - * Tom St Denis, tomstdenis@gmail.com - */ -#include -#include - -int -is_mersenne (long s, int *pp) -{ - mp_int n, u; - int res, k; - - *pp = 0; - - if ((res = mp_init (&n)) != MP_OKAY) { - return res; - } - - if ((res = mp_init (&u)) != MP_OKAY) { - goto LBL_N; - } - - /* n = 2^s - 1 */ - if ((res = mp_2expt(&n, s)) != MP_OKAY) { - goto LBL_MU; - } - if ((res = mp_sub_d (&n, 1, &n)) != MP_OKAY) { - goto LBL_MU; - } - - /* set u=4 */ - mp_set (&u, 4); - - /* for k=1 to s-2 do */ - for (k = 1; k <= s - 2; k++) { - /* u = u^2 - 2 mod n */ - if ((res = mp_sqr (&u, &u)) != MP_OKAY) { - goto LBL_MU; - } - if ((res = mp_sub_d (&u, 2, &u)) != MP_OKAY) { - goto LBL_MU; - } - - /* make sure u is positive */ - while (u.sign == MP_NEG) { - if ((res = mp_add (&u, &n, &u)) != MP_OKAY) { - goto LBL_MU; - } - } - - /* reduce */ - if ((res = mp_reduce_2k (&u, &n, 1)) != MP_OKAY) { - goto LBL_MU; - } - } - - /* if u == 0 then its prime */ - if (mp_iszero (&u) == 1) { - mp_prime_is_prime(&n, 8, pp); - if (*pp != 1) printf("FAILURE\n"); - } - - res = MP_OKAY; -LBL_MU:mp_clear (&u); -LBL_N:mp_clear (&n); - return res; -} - -/* square root of a long < 65536 */ -long -i_sqrt (long x) -{ - long x1, x2; - - x2 = 16; - do { - x1 = x2; - x2 = x1 - ((x1 * x1) - x) / (2 * x1); - } while (x1 != x2); - - if (x1 * x1 > x) { - --x1; - } - - return x1; -} - -/* is the long prime by brute force */ -int -isprime (long k) -{ - long y, z; - - y = i_sqrt (k); - for (z = 2; z <= y; z++) { - if ((k % z) == 0) - return 0; - } - return 1; -} - - -int -main (void) -{ - int pp; - long k; - clock_t tt; - - k = 3; - - for (;;) { - /* start time */ - tt = clock (); - - /* test if 2^k - 1 is prime */ - if (is_mersenne (k, &pp) != MP_OKAY) { - printf ("Whoa error\n"); - return -1; - } - - if (pp == 1) { - /* count time */ - tt = clock () - tt; - - /* display if prime */ - printf ("2^%-5ld - 1 is prime, test took %ld ticks\n", k, tt); - } - - /* goto next odd exponent */ - k += 2; - - /* but make sure its prime */ - while (isprime (k) == 0) { - k += 2; - } - } - return 0; -} diff --git a/libtommath/etc/mont.c b/libtommath/etc/mont.c deleted file mode 100644 index 7839675..0000000 --- a/libtommath/etc/mont.c +++ /dev/null @@ -1,41 +0,0 @@ -/* tests the montgomery routines */ -#include - -int main(void) -{ - mp_int modulus, R, p, pp; - mp_digit mp; - long x, y; - - srand(time(NULL)); - mp_init_multi(&modulus, &R, &p, &pp, NULL); - - /* loop through various sizes */ - for (x = 4; x < 256; x++) { - printf("DIGITS == %3ld...", x); fflush(stdout); - - /* make up the odd modulus */ - mp_rand(&modulus, x); - modulus.dp[0] |= 1; - - /* now find the R value */ - mp_montgomery_calc_normalization(&R, &modulus); - mp_montgomery_setup(&modulus, &mp); - - /* now run through a bunch tests */ - for (y = 0; y < 1000; y++) { - mp_rand(&p, x/2); /* p = random */ - mp_mul(&p, &R, &pp); /* pp = R * p */ - mp_montgomery_reduce(&pp, &modulus, mp); - - /* should be equal to p */ - if (mp_cmp(&pp, &p) != MP_EQ) { - printf("FAILURE!\n"); - exit(-1); - } - } - printf("PASSED\n"); - } - - return 0; -} diff --git a/libtommath/etc/pprime.c b/libtommath/etc/pprime.c deleted file mode 100644 index 955f19e..0000000 --- a/libtommath/etc/pprime.c +++ /dev/null @@ -1,396 +0,0 @@ -/* Generates provable primes - * - * See http://gmail.com:8080/papers/pp.pdf for more info. - * - * Tom St Denis, tomstdenis@gmail.com, http://tom.gmail.com - */ -#include -#include "tommath.h" - -int n_prime; -FILE *primes; - -/* fast square root */ -static mp_digit -i_sqrt (mp_word x) -{ - mp_word x1, x2; - - x2 = x; - do { - x1 = x2; - x2 = x1 - ((x1 * x1) - x) / (2 * x1); - } while (x1 != x2); - - if (x1 * x1 > x) { - --x1; - } - - return x1; -} - - -/* generates a prime digit */ -static void gen_prime (void) -{ - mp_digit r, x, y, next; - FILE *out; - - out = fopen("pprime.dat", "wb"); - - /* write first set of primes */ - r = 3; fwrite(&r, 1, sizeof(mp_digit), out); - r = 5; fwrite(&r, 1, sizeof(mp_digit), out); - r = 7; fwrite(&r, 1, sizeof(mp_digit), out); - r = 11; fwrite(&r, 1, sizeof(mp_digit), out); - r = 13; fwrite(&r, 1, sizeof(mp_digit), out); - r = 17; fwrite(&r, 1, sizeof(mp_digit), out); - r = 19; fwrite(&r, 1, sizeof(mp_digit), out); - r = 23; fwrite(&r, 1, sizeof(mp_digit), out); - r = 29; fwrite(&r, 1, sizeof(mp_digit), out); - r = 31; fwrite(&r, 1, sizeof(mp_digit), out); - - /* get square root, since if 'r' is composite its factors must be < than this */ - y = i_sqrt (r); - next = (y + 1) * (y + 1); - - for (;;) { - do { - r += 2; /* next candidate */ - r &= MP_MASK; - if (r < 31) break; - - /* update sqrt ? */ - if (next <= r) { - ++y; - next = (y + 1) * (y + 1); - } - - /* loop if divisible by 3,5,7,11,13,17,19,23,29 */ - if ((r % 3) == 0) { - x = 0; - continue; - } - if ((r % 5) == 0) { - x = 0; - continue; - } - if ((r % 7) == 0) { - x = 0; - continue; - } - if ((r % 11) == 0) { - x = 0; - continue; - } - if ((r % 13) == 0) { - x = 0; - continue; - } - if ((r % 17) == 0) { - x = 0; - continue; - } - if ((r % 19) == 0) { - x = 0; - continue; - } - if ((r % 23) == 0) { - x = 0; - continue; - } - if ((r % 29) == 0) { - x = 0; - continue; - } - - /* now check if r is divisible by x + k={1,7,11,13,17,19,23,29} */ - for (x = 30; x <= y; x += 30) { - if ((r % (x + 1)) == 0) { - x = 0; - break; - } - if ((r % (x + 7)) == 0) { - x = 0; - break; - } - if ((r % (x + 11)) == 0) { - x = 0; - break; - } - if ((r % (x + 13)) == 0) { - x = 0; - break; - } - if ((r % (x + 17)) == 0) { - x = 0; - break; - } - if ((r % (x + 19)) == 0) { - x = 0; - break; - } - if ((r % (x + 23)) == 0) { - x = 0; - break; - } - if ((r % (x + 29)) == 0) { - x = 0; - break; - } - } - } while (x == 0); - if (r > 31) { fwrite(&r, 1, sizeof(mp_digit), out); printf("%9d\r", r); fflush(stdout); } - if (r < 31) break; - } - - fclose(out); -} - -void load_tab(void) -{ - primes = fopen("pprime.dat", "rb"); - if (primes == NULL) { - gen_prime(); - primes = fopen("pprime.dat", "rb"); - } - fseek(primes, 0, SEEK_END); - n_prime = ftell(primes) / sizeof(mp_digit); -} - -mp_digit prime_digit(void) -{ - int n; - mp_digit d; - - n = abs(rand()) % n_prime; - fseek(primes, n * sizeof(mp_digit), SEEK_SET); - fread(&d, 1, sizeof(mp_digit), primes); - return d; -} - - -/* makes a prime of at least k bits */ -int -pprime (int k, int li, mp_int * p, mp_int * q) -{ - mp_int a, b, c, n, x, y, z, v; - int res, ii; - static const mp_digit bases[] = { 2, 3, 5, 7, 11, 13, 17, 19 }; - - /* single digit ? */ - if (k <= (int) DIGIT_BIT) { - mp_set (p, prime_digit ()); - return MP_OKAY; - } - - if ((res = mp_init (&c)) != MP_OKAY) { - return res; - } - - if ((res = mp_init (&v)) != MP_OKAY) { - goto LBL_C; - } - - /* product of first 50 primes */ - if ((res = - mp_read_radix (&v, - "19078266889580195013601891820992757757219839668357012055907516904309700014933909014729740190", - 10)) != MP_OKAY) { - goto LBL_V; - } - - if ((res = mp_init (&a)) != MP_OKAY) { - goto LBL_V; - } - - /* set the prime */ - mp_set (&a, prime_digit ()); - - if ((res = mp_init (&b)) != MP_OKAY) { - goto LBL_A; - } - - if ((res = mp_init (&n)) != MP_OKAY) { - goto LBL_B; - } - - if ((res = mp_init (&x)) != MP_OKAY) { - goto LBL_N; - } - - if ((res = mp_init (&y)) != MP_OKAY) { - goto LBL_X; - } - - if ((res = mp_init (&z)) != MP_OKAY) { - goto LBL_Y; - } - - /* now loop making the single digit */ - while (mp_count_bits (&a) < k) { - fprintf (stderr, "prime has %4d bits left\r", k - mp_count_bits (&a)); - fflush (stderr); - top: - mp_set (&b, prime_digit ()); - - /* now compute z = a * b * 2 */ - if ((res = mp_mul (&a, &b, &z)) != MP_OKAY) { /* z = a * b */ - goto LBL_Z; - } - - if ((res = mp_copy (&z, &c)) != MP_OKAY) { /* c = a * b */ - goto LBL_Z; - } - - if ((res = mp_mul_2 (&z, &z)) != MP_OKAY) { /* z = 2 * a * b */ - goto LBL_Z; - } - - /* n = z + 1 */ - if ((res = mp_add_d (&z, 1, &n)) != MP_OKAY) { /* n = z + 1 */ - goto LBL_Z; - } - - /* check (n, v) == 1 */ - if ((res = mp_gcd (&n, &v, &y)) != MP_OKAY) { /* y = (n, v) */ - goto LBL_Z; - } - - if (mp_cmp_d (&y, 1) != MP_EQ) - goto top; - - /* now try base x=bases[ii] */ - for (ii = 0; ii < li; ii++) { - mp_set (&x, bases[ii]); - - /* compute x^a mod n */ - if ((res = mp_exptmod (&x, &a, &n, &y)) != MP_OKAY) { /* y = x^a mod n */ - goto LBL_Z; - } - - /* if y == 1 loop */ - if (mp_cmp_d (&y, 1) == MP_EQ) - continue; - - /* now x^2a mod n */ - if ((res = mp_sqrmod (&y, &n, &y)) != MP_OKAY) { /* y = x^2a mod n */ - goto LBL_Z; - } - - if (mp_cmp_d (&y, 1) == MP_EQ) - continue; - - /* compute x^b mod n */ - if ((res = mp_exptmod (&x, &b, &n, &y)) != MP_OKAY) { /* y = x^b mod n */ - goto LBL_Z; - } - - /* if y == 1 loop */ - if (mp_cmp_d (&y, 1) == MP_EQ) - continue; - - /* now x^2b mod n */ - if ((res = mp_sqrmod (&y, &n, &y)) != MP_OKAY) { /* y = x^2b mod n */ - goto LBL_Z; - } - - if (mp_cmp_d (&y, 1) == MP_EQ) - continue; - - /* compute x^c mod n == x^ab mod n */ - if ((res = mp_exptmod (&x, &c, &n, &y)) != MP_OKAY) { /* y = x^ab mod n */ - goto LBL_Z; - } - - /* if y == 1 loop */ - if (mp_cmp_d (&y, 1) == MP_EQ) - continue; - - /* now compute (x^c mod n)^2 */ - if ((res = mp_sqrmod (&y, &n, &y)) != MP_OKAY) { /* y = x^2ab mod n */ - goto LBL_Z; - } - - /* y should be 1 */ - if (mp_cmp_d (&y, 1) != MP_EQ) - continue; - break; - } - - /* no bases worked? */ - if (ii == li) - goto top; - -{ - char buf[4096]; - - mp_toradix(&n, buf, 10); - printf("Certificate of primality for:\n%s\n\n", buf); - mp_toradix(&a, buf, 10); - printf("A == \n%s\n\n", buf); - mp_toradix(&b, buf, 10); - printf("B == \n%s\n\nG == %d\n", buf, bases[ii]); - printf("----------------------------------------------------------------\n"); -} - - /* a = n */ - mp_copy (&n, &a); - } - - /* get q to be the order of the large prime subgroup */ - mp_sub_d (&n, 1, q); - mp_div_2 (q, q); - mp_div (q, &b, q, NULL); - - mp_exch (&n, p); - - res = MP_OKAY; -LBL_Z:mp_clear (&z); -LBL_Y:mp_clear (&y); -LBL_X:mp_clear (&x); -LBL_N:mp_clear (&n); -LBL_B:mp_clear (&b); -LBL_A:mp_clear (&a); -LBL_V:mp_clear (&v); -LBL_C:mp_clear (&c); - return res; -} - - -int -main (void) -{ - mp_int p, q; - char buf[4096]; - int k, li; - clock_t t1; - - srand (time (NULL)); - load_tab(); - - printf ("Enter # of bits: \n"); - fgets (buf, sizeof (buf), stdin); - sscanf (buf, "%d", &k); - - printf ("Enter number of bases to try (1 to 8):\n"); - fgets (buf, sizeof (buf), stdin); - sscanf (buf, "%d", &li); - - - mp_init (&p); - mp_init (&q); - - t1 = clock (); - pprime (k, li, &p, &q); - t1 = clock () - t1; - - printf ("\n\nTook %ld ticks, %d bits\n", t1, mp_count_bits (&p)); - - mp_toradix (&p, buf, 10); - printf ("P == %s\n", buf); - mp_toradix (&q, buf, 10); - printf ("Q == %s\n", buf); - - return 0; -} diff --git a/libtommath/etc/prime.1024 b/libtommath/etc/prime.1024 deleted file mode 100644 index 5636e2d..0000000 --- a/libtommath/etc/prime.1024 +++ /dev/null @@ -1,414 +0,0 @@ -Enter # of bits: -Enter number of bases to try (1 to 8): -Certificate of primality for: -36360080703173363 - -A == -89963569 - -B == -202082249 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -4851595597739856136987139 - -A == -36360080703173363 - -B == -66715963 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -19550639734462621430325731591027 - -A == -4851595597739856136987139 - -B == -2014867 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -10409036141344317165691858509923818734539 - -A == -19550639734462621430325731591027 - -B == -266207047 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -1049829549988285012736475602118094726647504414203 - -A == -10409036141344317165691858509923818734539 - -B == -50428759 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -77194737385528288387712399596835459931920358844586615003 - -A == -1049829549988285012736475602118094726647504414203 - -B == -36765367 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -35663756695365208574443215955488689578374232732893628896541201763 - -A == -77194737385528288387712399596835459931920358844586615003 - -B == -230998627 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -16711831463502165169495622246023119698415848120292671294127567620396469803 - -A == -35663756695365208574443215955488689578374232732893628896541201763 - -B == -234297127 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -6163534781560285962890718925972249753147470953579266394395432475622345597103528739 - -A == -16711831463502165169495622246023119698415848120292671294127567620396469803 - -B == -184406323 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -814258256205243497704094951432575867360065658372158511036259934640748088306764553488803787 - -A == -6163534781560285962890718925972249753147470953579266394395432475622345597103528739 - -B == -66054487 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -176469695533271657902814176811660357049007467856432383037590673407330246967781451723764079581998187 - -A == -814258256205243497704094951432575867360065658372158511036259934640748088306764553488803787 - -B == -108362239 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -44924492859445516541759485198544012102424796403707253610035148063863073596051272171194806669756971406400419 - -A == -176469695533271657902814176811660357049007467856432383037590673407330246967781451723764079581998187 - -B == -127286707 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -20600996927219343383225424320134474929609459588323857796871086845924186191561749519858600696159932468024710985371059 - -A == -44924492859445516541759485198544012102424796403707253610035148063863073596051272171194806669756971406400419 - -B == -229284691 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -6295696427695493110141186605837397185848992307978456138112526915330347715236378041486547994708748840844217371233735072572979 - -A == -20600996927219343383225424320134474929609459588323857796871086845924186191561749519858600696159932468024710985371059 - -B == -152800771 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -3104984078042317488749073016454213579257792635142218294052134804187631661145261015102617582090263808696699966840735333252107678792123 - -A == -6295696427695493110141186605837397185848992307978456138112526915330347715236378041486547994708748840844217371233735072572979 - -B == -246595759 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -26405175827665701256325699315126705508919255051121452292124404943796947287968603975320562847910946802396632302209435206627913466015741799499 - -A == -3104984078042317488749073016454213579257792635142218294052134804187631661145261015102617582090263808696699966840735333252107678792123 - -B == -4252063 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -11122146237908413610034600609460545703591095894418599759742741406628055069007082998134905595800236452010905900391505454890446585211975124558601770163 - -A == -26405175827665701256325699315126705508919255051121452292124404943796947287968603975320562847910946802396632302209435206627913466015741799499 - -B == -210605419 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -1649861642047798890580354082088712649911849362201343649289384923147797960364736011515757482030049342943790127685185806092659832129486307035500638595572396187 - -A == -11122146237908413610034600609460545703591095894418599759742741406628055069007082998134905595800236452010905900391505454890446585211975124558601770163 - -B == -74170111 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -857983367126266717607389719637086684134462613006415859877666235955788392464081914127715967940968197765042399904117392707518175220864852816390004264107201177394565363 - -A == -1649861642047798890580354082088712649911849362201343649289384923147797960364736011515757482030049342943790127685185806092659832129486307035500638595572396187 - -B == -260016763 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -175995909353623703257072120479340610010337144085688850745292031336724691277374210929188442230237711063783727092685448718515661641054886101716698390145283196296702450566161283 - -A == -857983367126266717607389719637086684134462613006415859877666235955788392464081914127715967940968197765042399904117392707518175220864852816390004264107201177394565363 - -B == -102563707 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -48486002551155667224487059713350447239190772068092630563272168418880661006593537218144160068395218642353495339720640699721703003648144463556291315694787862009052641640656933232794283 - -A == -175995909353623703257072120479340610010337144085688850745292031336724691277374210929188442230237711063783727092685448718515661641054886101716698390145283196296702450566161283 - -B == -137747527 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -13156468011529105025061495011938518171328604045212410096476697450506055664012861932372156505805788068791146986282263016790631108386790291275939575123375304599622623328517354163964228279867403 - -A == -48486002551155667224487059713350447239190772068092630563272168418880661006593537218144160068395218642353495339720640699721703003648144463556291315694787862009052641640656933232794283 - -B == -135672847 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -6355194692790533601105154341731997464407930009404822926832136060319955058388106456084549316415200519472481147942263916585428906582726749131479465958107142228236909665306781538860053107680830113869123 - -A == -13156468011529105025061495011938518171328604045212410096476697450506055664012861932372156505805788068791146986282263016790631108386790291275939575123375304599622623328517354163964228279867403 - -B == -241523587 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -3157116676535430302794438027544146642863331358530722860333745617571010460905857862561870488000265751138954271040017454405707755458702044884023184574412221802502351503929935224995314581932097706874819348858083 - -A == -6355194692790533601105154341731997464407930009404822926832136060319955058388106456084549316415200519472481147942263916585428906582726749131479465958107142228236909665306781538860053107680830113869123 - -B == -248388667 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -390533129219992506725320633489467713907837370444962163378727819939092929448752905310115311180032249230394348337568973177802874166228132778126338883671958897238722734394783244237133367055422297736215754829839364158067 - -A == -3157116676535430302794438027544146642863331358530722860333745617571010460905857862561870488000265751138954271040017454405707755458702044884023184574412221802502351503929935224995314581932097706874819348858083 - -B == -61849651 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -48583654555070224891047847050732516652910250240135992225139515777200432486685999462997073444468380434359929499498804723793106565291183220444221080449740542884172281158126259373095216435009661050109711341419005972852770440739 - -A == -390533129219992506725320633489467713907837370444962163378727819939092929448752905310115311180032249230394348337568973177802874166228132778126338883671958897238722734394783244237133367055422297736215754829839364158067 - -B == -62201707 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -25733035251905120039135866524384525138869748427727001128764704499071378939227862068500633813538831598776578372709963673670934388213622433800015759585470542686333039614931682098922935087822950084908715298627996115185849260703525317419 - -A == -48583654555070224891047847050732516652910250240135992225139515777200432486685999462997073444468380434359929499498804723793106565291183220444221080449740542884172281158126259373095216435009661050109711341419005972852770440739 - -B == -264832231 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -2804594464939948901906623499531073917980499195397462605359913717827014360538186518540781517129548650937632008683280555602633122170458773895504894807182664540529077836857897972175530148107545939211339044386106111633510166695386323426241809387 - -A == -25733035251905120039135866524384525138869748427727001128764704499071378939227862068500633813538831598776578372709963673670934388213622433800015759585470542686333039614931682098922935087822950084908715298627996115185849260703525317419 - -B == -54494047 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -738136612083433720096707308165797114449914259256979340471077690416567237592465306112484843530074782721390528773594351482384711900456440808251196845265132086486672447136822046628407467459921823150600138073268385534588238548865012638209515923513516547 - -A == -2804594464939948901906623499531073917980499195397462605359913717827014360538186518540781517129548650937632008683280555602633122170458773895504894807182664540529077836857897972175530148107545939211339044386106111633510166695386323426241809387 - -B == -131594179 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -392847529056126766528615419937165193421166694172790666626558750047057558168124866940509180171236517681470100877687445134633784815352076138790217228749332398026714192707447855731679485746120589851992221508292976900578299504461333767437280988393026452846013683 - -A == -738136612083433720096707308165797114449914259256979340471077690416567237592465306112484843530074782721390528773594351482384711900456440808251196845265132086486672447136822046628407467459921823150600138073268385534588238548865012638209515923513516547 - -B == -266107603 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -168459393231883505975876919268398655632763956627405508859662408056221544310200546265681845397346956580604208064328814319465940958080244889692368602591598503944015835190587740756859842792554282496742843600573336023639256008687581291233481455395123454655488735304365627 - -A == -392847529056126766528615419937165193421166694172790666626558750047057558168124866940509180171236517681470100877687445134633784815352076138790217228749332398026714192707447855731679485746120589851992221508292976900578299504461333767437280988393026452846013683 - -B == -214408111 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -14865774288636941404884923981945833072113667565310054952177860608355263252462409554658728941191929400198053290113492910272458441655458514080123870132092365833472436407455910185221474386718838138135065780840839893113912689594815485706154461164071775481134379794909690501684643 - -A == -168459393231883505975876919268398655632763956627405508859662408056221544310200546265681845397346956580604208064328814319465940958080244889692368602591598503944015835190587740756859842792554282496742843600573336023639256008687581291233481455395123454655488735304365627 - -B == -44122723 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -1213301773203241614897109856134894783021668292000023984098824423682568173639394290886185366993108292039068940333907505157813934962357206131450244004178619265868614859794316361031904412926604138893775068853175215502104744339658944443630407632290152772487455298652998368296998719996019 - -A == -14865774288636941404884923981945833072113667565310054952177860608355263252462409554658728941191929400198053290113492910272458441655458514080123870132092365833472436407455910185221474386718838138135065780840839893113912689594815485706154461164071775481134379794909690501684643 - -B == -40808563 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -186935245989515158127969129347464851990429060640910951266513740972248428651109062997368144722015290092846666943896556191257222521203647606911446635194198213436423080005867489516421559330500722264446765608763224572386410155413161172707802334865729654109050873820610813855041667633843601286843 - -A == -1213301773203241614897109856134894783021668292000023984098824423682568173639394290886185366993108292039068940333907505157813934962357206131450244004178619265868614859794316361031904412926604138893775068853175215502104744339658944443630407632290152772487455298652998368296998719996019 - -B == -77035759 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -83142661079751490510739960019112406284111408348732592580459037404394946037094409915127399165633756159385609671956087845517678367844901424617866988187132480585966721962585586730693443536100138246516868613250009028187662080828012497191775172228832247706080044971423654632146928165751885302331924491683 - -A == -186935245989515158127969129347464851990429060640910951266513740972248428651109062997368144722015290092846666943896556191257222521203647606911446635194198213436423080005867489516421559330500722264446765608763224572386410155413161172707802334865729654109050873820610813855041667633843601286843 - -B == -222383587 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -3892354773803809855317742245039794448230625839512638747643814927766738642436392673485997449586432241626440927010641564064764336402368634186618250134234189066179771240232458249806850838490410473462391401438160528157981942499581634732706904411807195259620779379274017704050790865030808501633772117217899534443 - -A == -83142661079751490510739960019112406284111408348732592580459037404394946037094409915127399165633756159385609671956087845517678367844901424617866988187132480585966721962585586730693443536100138246516868613250009028187662080828012497191775172228832247706080044971423654632146928165751885302331924491683 - -B == -23407687 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -1663606652988091811284014366560171522582683318514519379924950390627250155440313691226744227787921928894551755219495501365555370027257568506349958010457682898612082048959464465369892842603765280317696116552850664773291371490339084156052244256635115997453399761029567033971998617303988376172539172702246575225837054723 - -A == -3892354773803809855317742245039794448230625839512638747643814927766738642436392673485997449586432241626440927010641564064764336402368634186618250134234189066179771240232458249806850838490410473462391401438160528157981942499581634732706904411807195259620779379274017704050790865030808501633772117217899534443 - -B == -213701827 - -G == 2 ----------------------------------------------------------------- - - -Took 33057 ticks, 1048 bits -P == 1663606652988091811284014366560171522582683318514519379924950390627250155440313691226744227787921928894551755219495501365555370027257568506349958010457682898612082048959464465369892842603765280317696116552850664773291371490339084156052244256635115997453399761029567033971998617303988376172539172702246575225837054723 -Q == 3892354773803809855317742245039794448230625839512638747643814927766738642436392673485997449586432241626440927010641564064764336402368634186618250134234189066179771240232458249806850838490410473462391401438160528157981942499581634732706904411807195259620779379274017704050790865030808501633772117217899534443 diff --git a/libtommath/etc/prime.512 b/libtommath/etc/prime.512 deleted file mode 100644 index cb6ec30..0000000 --- a/libtommath/etc/prime.512 +++ /dev/null @@ -1,205 +0,0 @@ -Enter # of bits: -Enter number of bases to try (1 to 8): -Certificate of primality for: -85933926807634727 - -A == -253758023 - -B == -169322581 - -G == 5 ----------------------------------------------------------------- -Certificate of primality for: -23930198825086241462113799 - -A == -85933926807634727 - -B == -139236037 - -G == 11 ----------------------------------------------------------------- -Certificate of primality for: -6401844647261612602378676572510019 - -A == -23930198825086241462113799 - -B == -133760791 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -269731366027728777712034888684015329354259 - -A == -6401844647261612602378676572510019 - -B == -21066691 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -37942338209025571690075025099189467992329684223707 - -A == -269731366027728777712034888684015329354259 - -B == -70333567 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -15306904714258982484473490774101705363308327436988160248323 - -A == -37942338209025571690075025099189467992329684223707 - -B == -201712723 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -1616744757018513392810355191503853040357155275733333124624513530099 - -A == -15306904714258982484473490774101705363308327436988160248323 - -B == -52810963 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -464222094814208047161771036072622485188658077940154689939306386289983787983 - -A == -1616744757018513392810355191503853040357155275733333124624513530099 - -B == -143566909 - -G == 5 ----------------------------------------------------------------- -Certificate of primality for: -187429931674053784626487560729643601208757374994177258429930699354770049369025096447 - -A == -464222094814208047161771036072622485188658077940154689939306386289983787983 - -B == -201875281 - -G == 5 ----------------------------------------------------------------- -Certificate of primality for: -100579220846502621074093727119851331775052664444339632682598589456666938521976625305832917563 - -A == -187429931674053784626487560729643601208757374994177258429930699354770049369025096447 - -B == -268311523 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -1173616081309758475197022137833792133815753368965945885089720153370737965497134878651384030219765163 - -A == -100579220846502621074093727119851331775052664444339632682598589456666938521976625305832917563 - -B == -5834287 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -191456913489905913185935197655672585713573070349044195411728114905691721186574907738081340754373032735283623 - -A == -1173616081309758475197022137833792133815753368965945885089720153370737965497134878651384030219765163 - -B == -81567097 - -G == 5 ----------------------------------------------------------------- -Certificate of primality for: -57856530489201750164178576399448868489243874083056587683743345599898489554401618943240901541005080049321706789987519 - -A == -191456913489905913185935197655672585713573070349044195411728114905691721186574907738081340754373032735283623 - -B == -151095433 - -G == 7 ----------------------------------------------------------------- -Certificate of primality for: -13790529750452576698109671710773784949185621244122040804792403407272729038377767162233653248852099545134831722512085881814803 - -A == -57856530489201750164178576399448868489243874083056587683743345599898489554401618943240901541005080049321706789987519 - -B == -119178679 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -7075985989000817742677547821106534174334812111605018857703825637170140040509067704269696198231266351631132464035671858077052876058979 - -A == -13790529750452576698109671710773784949185621244122040804792403407272729038377767162233653248852099545134831722512085881814803 - -B == -256552363 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -1227273006232588072907488910282307435921226646895131225407452056677899411162892829564455154080310937471747140942360789623819327234258162420463 - -A == -7075985989000817742677547821106534174334812111605018857703825637170140040509067704269696198231266351631132464035671858077052876058979 - -B == -86720989 - -G == 5 ----------------------------------------------------------------- -Certificate of primality for: -446764896913554613686067036908702877942872355053329937790398156069936255759889884246832779737114032666318220500106499161852193765380831330106375235763 - -A == -1227273006232588072907488910282307435921226646895131225407452056677899411162892829564455154080310937471747140942360789623819327234258162420463 - -B == -182015287 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -5290203010849586596974953717018896543907195901082056939587768479377028575911127944611236020459652034082251335583308070846379514569838984811187823420951275243 - -A == -446764896913554613686067036908702877942872355053329937790398156069936255759889884246832779737114032666318220500106499161852193765380831330106375235763 - -B == -5920567 - -G == 2 ----------------------------------------------------------------- - - -Took 3454 ticks, 521 bits -P == 5290203010849586596974953717018896543907195901082056939587768479377028575911127944611236020459652034082251335583308070846379514569838984811187823420951275243 -Q == 446764896913554613686067036908702877942872355053329937790398156069936255759889884246832779737114032666318220500106499161852193765380831330106375235763 diff --git a/libtommath/etc/timer.asm b/libtommath/etc/timer.asm deleted file mode 100644 index 326a947..0000000 --- a/libtommath/etc/timer.asm +++ /dev/null @@ -1,37 +0,0 @@ -; x86 timer in NASM -; -; Tom St Denis, tomstdenis@iahu.ca -[bits 32] -[section .data] -time dd 0, 0 - -[section .text] - -%ifdef USE_ELF -[global t_start] -t_start: -%else -[global _t_start] -_t_start: -%endif - push edx - push eax - rdtsc - mov [time+0],edx - mov [time+4],eax - pop eax - pop edx - ret - -%ifdef USE_ELF -[global t_read] -t_read: -%else -[global _t_read] -_t_read: -%endif - rdtsc - sub eax,[time+4] - sbb edx,[time+0] - ret - \ No newline at end of file diff --git a/libtommath/etc/tune.c b/libtommath/etc/tune.c deleted file mode 100644 index acb146f..0000000 --- a/libtommath/etc/tune.c +++ /dev/null @@ -1,138 +0,0 @@ -/* Tune the Karatsuba parameters - * - * Tom St Denis, tomstdenis@gmail.com - */ -#include -#include - -/* how many times todo each size mult. Depends on your computer. For slow computers - * this can be low like 5 or 10. For fast [re: Athlon] should be 25 - 50 or so - */ -#define TIMES (1UL<<14UL) - -/* RDTSC from Scott Duplichan */ -static ulong64 TIMFUNC (void) - { - #if defined __GNUC__ - #if defined(__i386__) || defined(__x86_64__) - unsigned long long a; - __asm__ __volatile__ ("rdtsc\nmovl %%eax,%0\nmovl %%edx,4+%0\n"::"m"(a):"%eax","%edx"); - return a; - #else /* gcc-IA64 version */ - unsigned long result; - __asm__ __volatile__("mov %0=ar.itc" : "=r"(result) :: "memory"); - while (__builtin_expect ((int) result == -1, 0)) - __asm__ __volatile__("mov %0=ar.itc" : "=r"(result) :: "memory"); - return result; - #endif - - // Microsoft and Intel Windows compilers - #elif defined _M_IX86 - __asm rdtsc - #elif defined _M_AMD64 - return __rdtsc (); - #elif defined _M_IA64 - #if defined __INTEL_COMPILER - #include - #endif - return __getReg (3116); - #else - #error need rdtsc function for this build - #endif - } - - -#ifndef X86_TIMER - -/* generic ISO C timer */ -ulong64 LBL_T; -void t_start(void) { LBL_T = TIMFUNC(); } -ulong64 t_read(void) { return TIMFUNC() - LBL_T; } - -#else -extern void t_start(void); -extern ulong64 t_read(void); -#endif - -ulong64 time_mult(int size, int s) -{ - unsigned long x; - mp_int a, b, c; - ulong64 t1; - - mp_init (&a); - mp_init (&b); - mp_init (&c); - - mp_rand (&a, size); - mp_rand (&b, size); - - if (s == 1) { - KARATSUBA_MUL_CUTOFF = size; - } else { - KARATSUBA_MUL_CUTOFF = 100000; - } - - t_start(); - for (x = 0; x < TIMES; x++) { - mp_mul(&a,&b,&c); - } - t1 = t_read(); - mp_clear (&a); - mp_clear (&b); - mp_clear (&c); - return t1; -} - -ulong64 time_sqr(int size, int s) -{ - unsigned long x; - mp_int a, b; - ulong64 t1; - - mp_init (&a); - mp_init (&b); - - mp_rand (&a, size); - - if (s == 1) { - KARATSUBA_SQR_CUTOFF = size; - } else { - KARATSUBA_SQR_CUTOFF = 100000; - } - - t_start(); - for (x = 0; x < TIMES; x++) { - mp_sqr(&a,&b); - } - t1 = t_read(); - mp_clear (&a); - mp_clear (&b); - return t1; -} - -int -main (void) -{ - ulong64 t1, t2; - int x, y; - - for (x = 8; ; x += 2) { - t1 = time_mult(x, 0); - t2 = time_mult(x, 1); - printf("%d: %9llu %9llu, %9llu\n", x, t1, t2, t2 - t1); - if (t2 < t1) break; - } - y = x; - - for (x = 8; ; x += 2) { - t1 = time_sqr(x, 0); - t2 = time_sqr(x, 1); - printf("%d: %9llu %9llu, %9llu\n", x, t1, t2, t2 - t1); - if (t2 < t1) break; - } - printf("KARATSUBA_MUL_CUTOFF = %d\n", y); - printf("KARATSUBA_SQR_CUTOFF = %d\n", x); - - return 0; -} diff --git a/libtommath/gen.pl b/libtommath/gen.pl index 7236591..57f65ac 100644 --- a/libtommath/gen.pl +++ b/libtommath/gen.pl @@ -14,4 +14,6 @@ foreach my $filename (glob "bn*.c") { close SRC or die "Error closing $filename after reading: $!"; } print OUT "\n/* EOF */\n"; -close OUT or die "Error closing mpi.c after writing: $!"; \ No newline at end of file +close OUT or die "Error closing mpi.c after writing: $!"; + +system('perl -pli -e "s/\s*$//" mpi.c'); diff --git a/libtommath/logs/README b/libtommath/logs/README deleted file mode 100644 index 965e7c8..0000000 --- a/libtommath/logs/README +++ /dev/null @@ -1,13 +0,0 @@ -To use the pretty graphs you have to first build/run the ltmtest from the root directory of the package. -Todo this type - -make timing ; ltmtest - -in the root. It will run for a while [about ten minutes on most PCs] and produce a series of .log files in logs/. - -After doing that run "gnuplot graphs.dem" to make the PNGs. If you managed todo that all so far just open index.html to view -them all :-) - -Have fun - -Tom \ No newline at end of file diff --git a/libtommath/logs/add.log b/libtommath/logs/add.log deleted file mode 100644 index 43503ac..0000000 --- a/libtommath/logs/add.log +++ /dev/null @@ -1,16 +0,0 @@ -480 87 -960 111 -1440 135 -1920 159 -2400 200 -2880 224 -3360 248 -3840 272 -4320 296 -4800 320 -5280 344 -5760 368 -6240 392 -6720 416 -7200 440 -7680 464 diff --git a/libtommath/logs/addsub.png b/libtommath/logs/addsub.png deleted file mode 100644 index 441c7b2..0000000 Binary files a/libtommath/logs/addsub.png and /dev/null differ diff --git a/libtommath/logs/expt.log b/libtommath/logs/expt.log deleted file mode 100644 index 70932ab..0000000 --- a/libtommath/logs/expt.log +++ /dev/null @@ -1,7 +0,0 @@ -513 1435869 -769 3544970 -1025 7791638 -2049 46902238 -2561 85334899 -3073 141451412 -4097 308770310 diff --git a/libtommath/logs/expt.png b/libtommath/logs/expt.png deleted file mode 100644 index d779cc5..0000000 Binary files a/libtommath/logs/expt.png and /dev/null differ diff --git a/libtommath/logs/expt_2k.log b/libtommath/logs/expt_2k.log deleted file mode 100644 index 97d325f..0000000 --- a/libtommath/logs/expt_2k.log +++ /dev/null @@ -1,5 +0,0 @@ -607 2109225 -1279 10148314 -2203 34126877 -3217 82716424 -4253 161569606 diff --git a/libtommath/logs/expt_2kl.log b/libtommath/logs/expt_2kl.log deleted file mode 100644 index d9ad4be..0000000 --- a/libtommath/logs/expt_2kl.log +++ /dev/null @@ -1,4 +0,0 @@ -1024 7705271 -2048 34286851 -4096 165207491 -521 1618631 diff --git a/libtommath/logs/expt_dr.log b/libtommath/logs/expt_dr.log deleted file mode 100644 index c6bbe07..0000000 --- a/libtommath/logs/expt_dr.log +++ /dev/null @@ -1,7 +0,0 @@ -532 1928550 -784 3763908 -1036 7564221 -1540 16566059 -2072 32283784 -3080 79851565 -4116 157843530 diff --git a/libtommath/logs/graphs.dem b/libtommath/logs/graphs.dem deleted file mode 100644 index dfaf613..0000000 --- a/libtommath/logs/graphs.dem +++ /dev/null @@ -1,17 +0,0 @@ -set terminal png -set size 1.75 -set ylabel "Cycles per Operation" -set xlabel "Operand size (bits)" - -set output "addsub.png" -plot 'add.log' smooth bezier title "Addition", 'sub.log' smooth bezier title "Subtraction" - -set output "mult.png" -plot 'sqr.log' smooth bezier title "Squaring (without Karatsuba)", 'sqr_kara.log' smooth bezier title "Squaring (Karatsuba)", 'mult.log' smooth bezier title "Multiplication (without Karatsuba)", 'mult_kara.log' smooth bezier title "Multiplication (Karatsuba)" - -set output "expt.png" -plot 'expt.log' smooth bezier title "Exptmod (Montgomery)", 'expt_dr.log' smooth bezier title "Exptmod (Dimminished Radix)", 'expt_2k.log' smooth bezier title "Exptmod (2k Reduction)" - -set output "invmod.png" -plot 'invmod.log' smooth bezier title "Modular Inverse" - diff --git a/libtommath/logs/index.html b/libtommath/logs/index.html deleted file mode 100644 index 8c1ed9d..0000000 --- a/libtommath/logs/index.html +++ /dev/null @@ -1,24 +0,0 @@ - - -LibTomMath Log Plots - - - -

Addition and Subtraction

-
-
- -

Multipliers

-
-
- -

Exptmod

-
-
- -

Modular Inverse

-
-
- - - diff --git a/libtommath/logs/invmod.log b/libtommath/logs/invmod.log deleted file mode 100644 index e69de29..0000000 diff --git a/libtommath/logs/invmod.png b/libtommath/logs/invmod.png deleted file mode 100644 index 9dcd7d8..0000000 Binary files a/libtommath/logs/invmod.png and /dev/null differ diff --git a/libtommath/logs/mult.log b/libtommath/logs/mult.log deleted file mode 100644 index 33563fc..0000000 --- a/libtommath/logs/mult.log +++ /dev/null @@ -1,84 +0,0 @@ -271 555 -390 855 -508 1161 -631 1605 -749 2117 -871 2687 -991 3329 -1108 4084 -1231 4786 -1351 5624 -1470 6392 -1586 7364 -1710 8218 -1830 9255 -1951 10217 -2067 11461 -2191 12463 -2308 13677 -2430 14800 -2551 16232 -2671 17460 -2791 18899 -2902 20247 -3028 21902 -3151 23240 -3267 24927 -3391 26441 -3511 28277 -3631 29838 -3749 31751 -3869 33673 -3989 35431 -4111 37518 -4231 39426 -4349 41504 -4471 43567 -4591 45786 -4711 47876 -4831 50299 -4951 52427 -5071 54785 -5189 57241 -5307 59730 -5431 62194 -5551 64761 -5670 67322 -5789 70073 -5907 72663 -6030 75437 -6151 78242 -6268 81202 -6389 83948 -6509 86985 -6631 89903 -6747 93184 -6869 96044 -6991 99286 -7109 102395 -7229 105917 -7351 108940 -7470 112490 -7589 115702 -7711 119508 -7831 122632 -7951 126410 -8071 129808 -8190 133895 -8311 137146 -8431 141218 -8549 144732 -8667 149131 -8790 152462 -8911 156754 -9030 160479 -9149 165138 -9271 168601 -9391 173185 -9511 176988 -9627 181976 -9751 185539 -9870 190388 -9991 194335 -10110 199605 -10228 203298 diff --git a/libtommath/logs/mult.png b/libtommath/logs/mult.png deleted file mode 100644 index d22e8c8..0000000 Binary files a/libtommath/logs/mult.png and /dev/null differ diff --git a/libtommath/logs/mult_kara.log b/libtommath/logs/mult_kara.log deleted file mode 100644 index 7136c79..0000000 --- a/libtommath/logs/mult_kara.log +++ /dev/null @@ -1,84 +0,0 @@ -271 560 -391 870 -511 1159 -631 1605 -750 2111 -871 2737 -991 3361 -1111 4054 -1231 4778 -1351 5600 -1471 6404 -1591 7323 -1710 8255 -1831 9239 -1948 10257 -2070 11397 -2190 12531 -2308 13665 -2429 14870 -2550 16175 -2671 17539 -2787 18879 -2911 20350 -3031 21807 -3150 23415 -3270 24897 -3388 26567 -3511 28205 -3627 30076 -3751 31744 -3869 33657 -3991 35425 -4111 37522 -4229 39363 -4351 41503 -4470 43491 -4590 45827 -4711 47795 -4828 50166 -4951 52318 -5070 54911 -5191 57036 -5308 58237 -5431 60248 -5551 62678 -5671 64786 -5791 67294 -5908 69343 -6031 71607 -6151 74166 -6271 76590 -6391 78734 -6511 81175 -6631 83742 -6750 86403 -6868 88873 -6990 91150 -7110 94211 -7228 96922 -7351 99445 -7469 102216 -7589 104968 -7711 108113 -7827 110758 -7950 113714 -8071 116511 -8186 119643 -8310 122679 -8425 125581 -8551 128715 -8669 131778 -8788 135116 -8910 138138 -9031 141628 -9148 144754 -9268 148367 -9391 151551 -9511 155033 -9631 158652 -9751 162125 -9871 165248 -9988 168627 -10111 172427 -10231 176412 diff --git a/libtommath/logs/sqr.log b/libtommath/logs/sqr.log deleted file mode 100644 index cd29fc5..0000000 --- a/libtommath/logs/sqr.log +++ /dev/null @@ -1,84 +0,0 @@ -265 562 -389 882 -509 1207 -631 1572 -750 1990 -859 2433 -991 2894 -1109 3555 -1230 4228 -1350 5018 -1471 5805 -1591 6579 -1709 7415 -1829 8329 -1949 9225 -2071 10139 -2188 11239 -2309 12178 -2431 13212 -2551 14294 -2671 15551 -2791 16512 -2911 17718 -3030 18876 -3150 20259 -3270 21374 -3391 22650 -3511 23948 -3631 25493 -3750 26756 -3870 28225 -3989 29705 -4110 31409 -4230 32834 -4351 34327 -4471 35818 -4591 37636 -4711 39228 -4830 40868 -4949 42393 -5070 44541 -5191 46269 -5310 48162 -5429 49728 -5548 51985 -5671 53948 -5791 55885 -5910 57584 -6031 60082 -6150 62239 -6270 64309 -6390 66014 -6511 68766 -6631 71012 -6750 73172 -6871 74952 -6991 77909 -7111 80371 -7231 82666 -7351 84531 -7469 87698 -7589 90318 -7711 225384 -7830 232428 -7950 240009 -8070 246522 -8190 253662 -8310 260961 -8431 269253 -8549 275743 -8671 283769 -8789 290811 -8911 300034 -9030 306873 -9149 315085 -9270 323944 -9390 332390 -9508 337519 -9631 348986 -9749 356904 -9871 367013 -9989 373831 -10108 381033 -10230 393475 diff --git a/libtommath/logs/sqr_kara.log b/libtommath/logs/sqr_kara.log deleted file mode 100644 index 06355a7..0000000 --- a/libtommath/logs/sqr_kara.log +++ /dev/null @@ -1,84 +0,0 @@ -271 560 -388 878 -511 1179 -629 1625 -751 1988 -871 2423 -989 2896 -1111 3561 -1231 4209 -1350 5015 -1470 5804 -1591 6556 -1709 7420 -1831 8263 -1951 9173 -2070 10153 -2191 11229 -2310 12167 -2431 13211 -2550 14309 -2671 15524 -2788 16525 -2910 17712 -3028 18822 -3148 20220 -3271 21343 -3391 22652 -3511 23944 -3630 25485 -3750 26778 -3868 28201 -3990 29653 -4111 31393 -4225 32841 -4350 34328 -4471 35786 -4590 37652 -4711 39245 -4830 40876 -4951 42433 -5068 44547 -5191 46321 -5311 48140 -5430 49727 -5550 52034 -5671 53954 -5791 55921 -5908 57597 -6031 60084 -6148 62226 -6270 64295 -6390 66045 -6511 68779 -6629 71003 -6751 73169 -6871 74992 -6991 77895 -7110 80376 -7231 82628 -7351 84468 -7470 87664 -7591 90284 -7711 91352 -7828 93995 -7950 96276 -8071 98691 -8190 101256 -8308 103631 -8431 105222 -8550 108343 -8671 110281 -8787 112764 -8911 115397 -9031 117690 -9151 120266 -9271 122715 -9391 124624 -9510 127937 -9630 130313 -9750 132914 -9871 136129 -9991 138517 -10108 141525 -10231 144225 diff --git a/libtommath/logs/sub.log b/libtommath/logs/sub.log deleted file mode 100644 index 9f84fa2..0000000 --- a/libtommath/logs/sub.log +++ /dev/null @@ -1,16 +0,0 @@ -480 94 -960 116 -1440 140 -1920 164 -2400 205 -2880 229 -3360 253 -3840 277 -4320 299 -4800 321 -5280 345 -5760 371 -6240 395 -6720 419 -7200 441 -7680 465 diff --git a/libtommath/makefile b/libtommath/makefile index 70de306..f90971c 100644 --- a/libtommath/makefile +++ b/libtommath/makefile @@ -2,98 +2,66 @@ # #Tom St Denis -#version of library -VERSION=0.42.0 - -CFLAGS += -I./ -Wall -W -Wshadow -Wsign-compare - -ifndef MAKE - MAKE=make -endif - -ifndef IGNORE_SPEED - -#for speed -CFLAGS += -O3 -funroll-loops - -#for size -#CFLAGS += -Os - -#x86 optimizations [should be valid for any GCC install though] -CFLAGS += -fomit-frame-pointer - -#debug -#CFLAGS += -g3 - -endif - -#install as this user -ifndef INSTALL_GROUP - GROUP=wheel +ifeq ($V,1) +silent= else - GROUP=$(INSTALL_GROUP) +silent=@ endif -ifndef INSTALL_USER - USER=root -else - USER=$(INSTALL_USER) +%.o: %.c +ifneq ($V,1) + @echo " * ${CC} $@" endif + ${silent} ${CC} -c ${CFLAGS} $^ -o $@ #default files to install ifndef LIBNAME LIBNAME=libtommath.a endif -default: ${LIBNAME} - -HEADERS=tommath.h tommath_class.h tommath_superclass.h - -#LIBPATH-The directory for libtommath to be installed to. -#INCPATH-The directory to install the header files for libtommath. -#DATAPATH-The directory to install the pdf docs. -DESTDIR= -LIBPATH=/usr/lib -INCPATH=/usr/include -DATAPATH=/usr/share/doc/libtommath/pdf - -OBJECTS=bncore.o bn_mp_init.o bn_mp_clear.o bn_mp_exch.o bn_mp_grow.o bn_mp_shrink.o \ -bn_mp_clamp.o bn_mp_zero.o bn_mp_set.o bn_mp_set_int.o bn_mp_init_size.o bn_mp_copy.o \ -bn_mp_init_copy.o bn_mp_abs.o bn_mp_neg.o bn_mp_cmp_mag.o bn_mp_cmp.o bn_mp_cmp_d.o \ -bn_mp_rshd.o bn_mp_lshd.o bn_mp_mod_2d.o bn_mp_div_2d.o bn_mp_mul_2d.o bn_mp_div_2.o \ -bn_mp_mul_2.o bn_s_mp_add.o bn_s_mp_sub.o bn_fast_s_mp_mul_digs.o bn_s_mp_mul_digs.o \ -bn_fast_s_mp_mul_high_digs.o bn_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_s_mp_sqr.o \ -bn_mp_add.o bn_mp_sub.o bn_mp_karatsuba_mul.o bn_mp_mul.o bn_mp_karatsuba_sqr.o \ -bn_mp_sqr.o bn_mp_div.o bn_mp_mod.o bn_mp_add_d.o bn_mp_sub_d.o bn_mp_mul_d.o \ -bn_mp_div_d.o bn_mp_mod_d.o bn_mp_expt_d.o bn_mp_addmod.o bn_mp_submod.o \ -bn_mp_mulmod.o bn_mp_sqrmod.o bn_mp_gcd.o bn_mp_lcm.o bn_fast_mp_invmod.o bn_mp_invmod.o \ -bn_mp_reduce.o bn_mp_montgomery_setup.o bn_fast_mp_montgomery_reduce.o bn_mp_montgomery_reduce.o \ -bn_mp_exptmod_fast.o bn_mp_exptmod.o bn_mp_2expt.o bn_mp_n_root.o bn_mp_jacobi.o bn_reverse.o \ -bn_mp_count_bits.o bn_mp_read_unsigned_bin.o bn_mp_read_signed_bin.o bn_mp_to_unsigned_bin.o \ -bn_mp_to_signed_bin.o bn_mp_unsigned_bin_size.o bn_mp_signed_bin_size.o \ -bn_mp_xor.o bn_mp_and.o bn_mp_or.o bn_mp_rand.o bn_mp_montgomery_calc_normalization.o \ -bn_mp_prime_is_divisible.o bn_prime_tab.o bn_mp_prime_fermat.o bn_mp_prime_miller_rabin.o \ -bn_mp_prime_is_prime.o bn_mp_prime_next_prime.o bn_mp_dr_reduce.o \ -bn_mp_dr_is_modulus.o bn_mp_dr_setup.o bn_mp_reduce_setup.o \ -bn_mp_toom_mul.o bn_mp_toom_sqr.o bn_mp_div_3.o bn_s_mp_exptmod.o \ -bn_mp_reduce_2k.o bn_mp_reduce_is_2k.o bn_mp_reduce_2k_setup.o \ -bn_mp_reduce_2k_l.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_2k_setup_l.o \ -bn_mp_radix_smap.o bn_mp_read_radix.o bn_mp_toradix.o bn_mp_radix_size.o \ -bn_mp_fread.o bn_mp_fwrite.o bn_mp_cnt_lsb.o bn_error.o \ -bn_mp_init_multi.o bn_mp_clear_multi.o bn_mp_exteuclid.o bn_mp_toradix_n.o \ -bn_mp_prime_random_ex.o bn_mp_get_int.o bn_mp_sqrt.o bn_mp_is_square.o bn_mp_init_set.o \ -bn_mp_init_set_int.o bn_mp_invmod_slow.o bn_mp_prime_rabin_miller_trials.o \ -bn_mp_to_signed_bin_n.o bn_mp_to_unsigned_bin_n.o +coverage: LIBNAME:=-Wl,--whole-archive $(LIBNAME) -Wl,--no-whole-archive + +include makefile.include + +LCOV_ARGS=--directory . + +#START_INS +OBJECTS=bncore.o bn_error.o bn_fast_mp_invmod.o bn_fast_mp_montgomery_reduce.o bn_fast_s_mp_mul_digs.o \ +bn_fast_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_mp_2expt.o bn_mp_abs.o bn_mp_add.o bn_mp_add_d.o \ +bn_mp_addmod.o bn_mp_and.o bn_mp_clamp.o bn_mp_clear.o bn_mp_clear_multi.o bn_mp_cmp.o bn_mp_cmp_d.o \ +bn_mp_cmp_mag.o bn_mp_cnt_lsb.o bn_mp_copy.o bn_mp_count_bits.o bn_mp_div_2.o bn_mp_div_2d.o bn_mp_div_3.o \ +bn_mp_div.o bn_mp_div_d.o bn_mp_dr_is_modulus.o bn_mp_dr_reduce.o bn_mp_dr_setup.o bn_mp_exch.o \ +bn_mp_export.o bn_mp_expt_d.o bn_mp_expt_d_ex.o bn_mp_exptmod.o bn_mp_exptmod_fast.o bn_mp_exteuclid.o \ +bn_mp_fread.o bn_mp_fwrite.o bn_mp_gcd.o bn_mp_get_int.o bn_mp_get_long.o bn_mp_get_long_long.o \ +bn_mp_grow.o bn_mp_import.o bn_mp_init.o bn_mp_init_copy.o bn_mp_init_multi.o bn_mp_init_set.o \ +bn_mp_init_set_int.o bn_mp_init_size.o bn_mp_invmod.o bn_mp_invmod_slow.o bn_mp_is_square.o \ +bn_mp_jacobi.o bn_mp_karatsuba_mul.o bn_mp_karatsuba_sqr.o bn_mp_lcm.o bn_mp_lshd.o bn_mp_mod_2d.o \ +bn_mp_mod.o bn_mp_mod_d.o bn_mp_montgomery_calc_normalization.o bn_mp_montgomery_reduce.o \ +bn_mp_montgomery_setup.o bn_mp_mul_2.o bn_mp_mul_2d.o bn_mp_mul.o bn_mp_mul_d.o bn_mp_mulmod.o bn_mp_neg.o \ +bn_mp_n_root.o bn_mp_n_root_ex.o bn_mp_or.o bn_mp_prime_fermat.o bn_mp_prime_is_divisible.o \ +bn_mp_prime_is_prime.o bn_mp_prime_miller_rabin.o bn_mp_prime_next_prime.o \ +bn_mp_prime_rabin_miller_trials.o bn_mp_prime_random_ex.o bn_mp_radix_size.o bn_mp_radix_smap.o \ +bn_mp_rand.o bn_mp_read_radix.o bn_mp_read_signed_bin.o bn_mp_read_unsigned_bin.o bn_mp_reduce_2k.o \ +bn_mp_reduce_2k_l.o bn_mp_reduce_2k_setup.o bn_mp_reduce_2k_setup_l.o bn_mp_reduce.o \ +bn_mp_reduce_is_2k.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_setup.o bn_mp_rshd.o bn_mp_set.o bn_mp_set_int.o \ +bn_mp_set_long.o bn_mp_set_long_long.o bn_mp_shrink.o bn_mp_signed_bin_size.o bn_mp_sqr.o bn_mp_sqrmod.o \ +bn_mp_sqrt.o bn_mp_sqrtmod_prime.o bn_mp_sub.o bn_mp_sub_d.o bn_mp_submod.o bn_mp_toom_mul.o \ +bn_mp_toom_sqr.o bn_mp_toradix.o bn_mp_toradix_n.o bn_mp_to_signed_bin.o bn_mp_to_signed_bin_n.o \ +bn_mp_to_unsigned_bin.o bn_mp_to_unsigned_bin_n.o bn_mp_unsigned_bin_size.o bn_mp_xor.o bn_mp_zero.o \ +bn_prime_tab.o bn_reverse.o bn_s_mp_add.o bn_s_mp_exptmod.o bn_s_mp_mul_digs.o bn_s_mp_mul_high_digs.o \ +bn_s_mp_sqr.o bn_s_mp_sub.o + +#END_INS $(LIBNAME): $(OBJECTS) $(AR) $(ARFLAGS) $@ $(OBJECTS) - ranlib $@ + $(RANLIB) $@ #make a profiled library (takes a while!!!) # # This will build the library with profile generation # then run the test demo and rebuild the library. -# +# # So far I've seen improvements in the MP math profiled: make CFLAGS="$(CFLAGS) -fprofile-arcs -DTESTING" timing @@ -101,35 +69,42 @@ profiled: rm -f *.a *.o ltmtest make CFLAGS="$(CFLAGS) -fbranch-probabilities" -#make a single object profiled library +#make a single object profiled library profiled_single: perl gen.pl $(CC) $(CFLAGS) -fprofile-arcs -DTESTING -c mpi.c -o mpi.o - $(CC) $(CFLAGS) -DTESTING -DTIMER demo/timing.c mpi.o -o ltmtest + $(CC) $(CFLAGS) -DTESTING -DTIMER demo/timing.c mpi.o -lgcov -o ltmtest ./ltmtest rm -f *.o ltmtest $(CC) $(CFLAGS) -fbranch-probabilities -DTESTING -c mpi.c -o mpi.o $(AR) $(ARFLAGS) $(LIBNAME) mpi.o - ranlib $(LIBNAME) + ranlib $(LIBNAME) install: $(LIBNAME) - install -d -g $(GROUP) -o $(USER) $(DESTDIR)$(LIBPATH) - install -d -g $(GROUP) -o $(USER) $(DESTDIR)$(INCPATH) - install -g $(GROUP) -o $(USER) $(LIBNAME) $(DESTDIR)$(LIBPATH) - install -g $(GROUP) -o $(USER) $(HEADERS) $(DESTDIR)$(INCPATH) + install -d $(DESTDIR)$(LIBPATH) + install -d $(DESTDIR)$(INCPATH) + install -m 644 $(LIBNAME) $(DESTDIR)$(LIBPATH) + install -m 644 $(HEADERS_PUB) $(DESTDIR)$(INCPATH) test: $(LIBNAME) demo/demo.o - $(CC) $(CFLAGS) demo/demo.o $(LIBNAME) -o test - -mtest: test - cd mtest ; $(CC) $(CFLAGS) mtest.c -o mtest - + $(CC) $(CFLAGS) demo/demo.o $(LIBNAME) $(LFLAGS) -o test + +test_standalone: $(LIBNAME) demo/demo.o + $(CC) $(CFLAGS) demo/demo.o $(LIBNAME) $(LFLAGS) -o test + +.PHONY: mtest +mtest: + cd mtest ; $(CC) $(CFLAGS) -O0 mtest.c $(LFLAGS) -o mtest + timing: $(LIBNAME) - $(CC) $(CFLAGS) -DTIMER demo/timing.c $(LIBNAME) -o ltmtest + $(CC) $(CFLAGS) -DTIMER demo/timing.c $(LIBNAME) $(LFLAGS) -o ltmtest + +coveralls: coverage + cpp-coveralls # makes the LTM book DVI file, requires tetex, perl and makeindex [part of tetex I think] docdvi: tommath.src - cd pics ; MAKE=${MAKE} ${MAKE} + cd pics ; MAKE=${MAKE} ${MAKE} echo "hello" > tommath.ind perl booker.pl latex tommath > /dev/null @@ -139,17 +114,37 @@ docdvi: tommath.src # poster, makes the single page PDF poster poster: poster.tex + cp poster.tex poster.bak + touch --reference=poster.tex poster.bak + (printf "%s" "\def\fixedpdfdate{"; date +'D:%Y%m%d%H%M%S%:z' -d @$$(stat --format=%Y poster.tex) | sed "s/:\([0-9][0-9]\)$$/'\1'}/g") > poster-deterministic.tex + printf "%s\n" "\pdfinfo{" >> poster-deterministic.tex + printf "%s\n" " /CreationDate (\fixedpdfdate)" >> poster-deterministic.tex + printf "%s\n}\n" " /ModDate (\fixedpdfdate)" >> poster-deterministic.tex + cat poster.tex >> poster-deterministic.tex + mv poster-deterministic.tex poster.tex + touch --reference=poster.bak poster.tex pdflatex poster - rm -f poster.aux poster.log + sed -b -i 's,^/ID \[.*\]$$,/ID [<0> <0>],g' poster.pdf + mv poster.bak poster.tex + rm -f poster.aux poster.log poster.out # makes the LTM book PDF file, requires tetex, cleans up the LaTeX temp files docs: docdvi dvipdf tommath rm -f tommath.log tommath.aux tommath.dvi tommath.idx tommath.toc tommath.lof tommath.ind tommath.ilg cd pics ; MAKE=${MAKE} ${MAKE} clean - + #LTM user manual mandvi: bn.tex + cp bn.tex bn.bak + touch --reference=bn.tex bn.bak + (printf "%s" "\def\fixedpdfdate{"; date +'D:%Y%m%d%H%M%S%:z' -d @$$(stat --format=%Y bn.tex) | sed "s/:\([0-9][0-9]\)$$/'\1'}/g") > bn-deterministic.tex + printf "%s\n" "\pdfinfo{" >> bn-deterministic.tex + printf "%s\n" " /CreationDate (\fixedpdfdate)" >> bn-deterministic.tex + printf "%s\n}\n" " /ModDate (\fixedpdfdate)" >> bn-deterministic.tex + cat bn.tex >> bn-deterministic.tex + mv bn-deterministic.tex bn.tex + touch --reference=bn.bak bn.tex echo "hello" > bn.ind latex bn > /dev/null latex bn > /dev/null @@ -159,28 +154,36 @@ mandvi: bn.tex #LTM user manual [pdf] manual: mandvi pdflatex bn >/dev/null + sed -b -i 's,^/ID \[.*\]$$,/ID [<0> <0>],g' bn.pdf + mv bn.bak bn.tex rm -f bn.aux bn.dvi bn.log bn.idx bn.lof bn.out bn.toc -pretty: +pretty: perl pretty.build -clean: - rm -f *.bat *.pdf *.o *.a *.obj *.lib *.exe *.dll etclib/*.o demo/demo.o test ltmtest mpitest mtest/mtest mtest/mtest.exe \ - *.idx *.toc *.log *.aux *.dvi *.lof *.ind *.ilg *.ps *.log *.s mpi.c *.da *.dyn *.dpi tommath.tex `find . -type f | grep [~] | xargs` *.lo *.la - rm -rf .libs - cd etc ; MAKE=${MAKE} ${MAKE} clean - cd pics ; MAKE=${MAKE} ${MAKE} clean - -#zipup the project (take that!) +#\zipup the project (take that!) no_oops: clean - cd .. ; cvs commit + cd .. ; cvs commit echo Scanning for scratch/dirty files find . -type f | grep -v CVS | xargs -n 1 bash mess.sh -zipup: clean manual poster docs - perl gen.pl ; mv mpi.c pre_gen/ ; \ - cd .. ; rm -rf ltm* libtommath-$(VERSION) ; mkdir libtommath-$(VERSION) ; \ - cp -R ./libtommath/* ./libtommath-$(VERSION)/ ; \ - tar -c libtommath-$(VERSION)/* | bzip2 -9vvc > ltm-$(VERSION).tar.bz2 ; \ - zip -9 -r ltm-$(VERSION).zip libtommath-$(VERSION)/* ; \ - mv -f ltm* ~ ; rm -rf libtommath-$(VERSION) +.PHONY: pre_gen +pre_gen: + perl gen.pl + sed -e 's/[[:blank:]]*$$//' mpi.c > pre_gen/mpi.c + rm mpi.c + +zipup: + rm -rf ../libtommath-$(VERSION) \ + && rm -f ../ltm-$(VERSION).zip ../ltm-$(VERSION).zip.asc ../ltm-$(VERSION).tar.xz ../ltm-$(VERSION).tar.xz.asc + git archive HEAD --prefix=libtommath-$(VERSION)/ > ../libtommath-$(VERSION).tar + cd .. ; tar xf libtommath-$(VERSION).tar + MAKE=${MAKE} ${MAKE} -C ../libtommath-$(VERSION) clean manual poster docs + tar -c ../libtommath-$(VERSION)/* | xz -9 > ../ltm-$(VERSION).tar.xz + find ../libtommath-$(VERSION)/ -type f -exec unix2dos -q {} \; + cd .. ; zip -9r ltm-$(VERSION).zip libtommath-$(VERSION) + gpg -b -a ../ltm-$(VERSION).tar.xz && gpg -b -a ../ltm-$(VERSION).zip + +new_file: + bash updatemakes.sh + perl dep.pl diff --git a/libtommath/makefile.bcc b/libtommath/makefile.bcc index 67743d9..a0cfd74 100644 --- a/libtommath/makefile.bcc +++ b/libtommath/makefile.bcc @@ -7,33 +7,35 @@ LIB = tlib CC = bcc32 CFLAGS = -c -O2 -I. -OBJECTS=bncore.obj bn_mp_init.obj bn_mp_clear.obj bn_mp_exch.obj bn_mp_grow.obj bn_mp_shrink.obj \ -bn_mp_clamp.obj bn_mp_zero.obj bn_mp_set.obj bn_mp_set_int.obj bn_mp_init_size.obj bn_mp_copy.obj \ -bn_mp_init_copy.obj bn_mp_abs.obj bn_mp_neg.obj bn_mp_cmp_mag.obj bn_mp_cmp.obj bn_mp_cmp_d.obj \ -bn_mp_rshd.obj bn_mp_lshd.obj bn_mp_mod_2d.obj bn_mp_div_2d.obj bn_mp_mul_2d.obj bn_mp_div_2.obj \ -bn_mp_mul_2.obj bn_s_mp_add.obj bn_s_mp_sub.obj bn_fast_s_mp_mul_digs.obj bn_s_mp_mul_digs.obj \ -bn_fast_s_mp_mul_high_digs.obj bn_s_mp_mul_high_digs.obj bn_fast_s_mp_sqr.obj bn_s_mp_sqr.obj \ -bn_mp_add.obj bn_mp_sub.obj bn_mp_karatsuba_mul.obj bn_mp_mul.obj bn_mp_karatsuba_sqr.obj \ -bn_mp_sqr.obj bn_mp_div.obj bn_mp_mod.obj bn_mp_add_d.obj bn_mp_sub_d.obj bn_mp_mul_d.obj \ -bn_mp_div_d.obj bn_mp_mod_d.obj bn_mp_expt_d.obj bn_mp_addmod.obj bn_mp_submod.obj \ -bn_mp_mulmod.obj bn_mp_sqrmod.obj bn_mp_gcd.obj bn_mp_lcm.obj bn_fast_mp_invmod.obj bn_mp_invmod.obj \ -bn_mp_reduce.obj bn_mp_montgomery_setup.obj bn_fast_mp_montgomery_reduce.obj bn_mp_montgomery_reduce.obj \ -bn_mp_exptmod_fast.obj bn_mp_exptmod.obj bn_mp_2expt.obj bn_mp_n_root.obj bn_mp_jacobi.obj bn_reverse.obj \ -bn_mp_count_bits.obj bn_mp_read_unsigned_bin.obj bn_mp_read_signed_bin.obj bn_mp_to_unsigned_bin.obj \ -bn_mp_to_signed_bin.obj bn_mp_unsigned_bin_size.obj bn_mp_signed_bin_size.obj \ -bn_mp_xor.obj bn_mp_and.obj bn_mp_or.obj bn_mp_rand.obj bn_mp_montgomery_calc_normalization.obj \ -bn_mp_prime_is_divisible.obj bn_prime_tab.obj bn_mp_prime_fermat.obj bn_mp_prime_miller_rabin.obj \ -bn_mp_prime_is_prime.obj bn_mp_prime_next_prime.obj bn_mp_dr_reduce.obj \ -bn_mp_dr_is_modulus.obj bn_mp_dr_setup.obj bn_mp_reduce_setup.obj \ -bn_mp_toom_mul.obj bn_mp_toom_sqr.obj bn_mp_div_3.obj bn_s_mp_exptmod.obj \ -bn_mp_reduce_2k.obj bn_mp_reduce_is_2k.obj bn_mp_reduce_2k_setup.obj \ -bn_mp_reduce_2k_l.obj bn_mp_reduce_is_2k_l.obj bn_mp_reduce_2k_setup_l.obj \ -bn_mp_radix_smap.obj bn_mp_read_radix.obj bn_mp_toradix.obj bn_mp_radix_size.obj \ -bn_mp_fread.obj bn_mp_fwrite.obj bn_mp_cnt_lsb.obj bn_error.obj \ -bn_mp_init_multi.obj bn_mp_clear_multi.obj bn_mp_exteuclid.obj bn_mp_toradix_n.obj \ -bn_mp_prime_random_ex.obj bn_mp_get_int.obj bn_mp_sqrt.obj bn_mp_is_square.obj \ -bn_mp_init_set.obj bn_mp_init_set_int.obj bn_mp_invmod_slow.obj bn_mp_prime_rabin_miller_trials.obj \ -bn_mp_to_signed_bin_n.obj bn_mp_to_unsigned_bin_n.obj +#START_INS +OBJECTS=bncore.obj bn_error.obj bn_fast_mp_invmod.obj bn_fast_mp_montgomery_reduce.obj bn_fast_s_mp_mul_digs.obj \ +bn_fast_s_mp_mul_high_digs.obj bn_fast_s_mp_sqr.obj bn_mp_2expt.obj bn_mp_abs.obj bn_mp_add.obj bn_mp_add_d.obj \ +bn_mp_addmod.obj bn_mp_and.obj bn_mp_clamp.obj bn_mp_clear.obj bn_mp_clear_multi.obj bn_mp_cmp.obj bn_mp_cmp_d.obj \ +bn_mp_cmp_mag.obj bn_mp_cnt_lsb.obj bn_mp_copy.obj bn_mp_count_bits.obj bn_mp_div_2.obj bn_mp_div_2d.obj bn_mp_div_3.obj \ +bn_mp_div.obj bn_mp_div_d.obj bn_mp_dr_is_modulus.obj bn_mp_dr_reduce.obj bn_mp_dr_setup.obj bn_mp_exch.obj \ +bn_mp_export.obj bn_mp_expt_d.obj bn_mp_expt_d_ex.obj bn_mp_exptmod.obj bn_mp_exptmod_fast.obj bn_mp_exteuclid.obj \ +bn_mp_fread.obj bn_mp_fwrite.obj bn_mp_gcd.obj bn_mp_get_int.obj bn_mp_get_long.obj bn_mp_get_long_long.obj \ +bn_mp_grow.obj bn_mp_import.obj bn_mp_init.obj bn_mp_init_copy.obj bn_mp_init_multi.obj bn_mp_init_set.obj \ +bn_mp_init_set_int.obj bn_mp_init_size.obj bn_mp_invmod.obj bn_mp_invmod_slow.obj bn_mp_is_square.obj \ +bn_mp_jacobi.obj bn_mp_karatsuba_mul.obj bn_mp_karatsuba_sqr.obj bn_mp_lcm.obj bn_mp_lshd.obj bn_mp_mod_2d.obj \ +bn_mp_mod.obj bn_mp_mod_d.obj bn_mp_montgomery_calc_normalization.obj bn_mp_montgomery_reduce.obj \ +bn_mp_montgomery_setup.obj bn_mp_mul_2.obj bn_mp_mul_2d.obj bn_mp_mul.obj bn_mp_mul_d.obj bn_mp_mulmod.obj bn_mp_neg.obj \ +bn_mp_n_root.obj bn_mp_n_root_ex.obj bn_mp_or.obj bn_mp_prime_fermat.obj bn_mp_prime_is_divisible.obj \ +bn_mp_prime_is_prime.obj bn_mp_prime_miller_rabin.obj bn_mp_prime_next_prime.obj \ +bn_mp_prime_rabin_miller_trials.obj bn_mp_prime_random_ex.obj bn_mp_radix_size.obj bn_mp_radix_smap.obj \ +bn_mp_rand.obj bn_mp_read_radix.obj bn_mp_read_signed_bin.obj bn_mp_read_unsigned_bin.obj bn_mp_reduce_2k.obj \ +bn_mp_reduce_2k_l.obj bn_mp_reduce_2k_setup.obj bn_mp_reduce_2k_setup_l.obj bn_mp_reduce.obj \ +bn_mp_reduce_is_2k.obj bn_mp_reduce_is_2k_l.obj bn_mp_reduce_setup.obj bn_mp_rshd.obj bn_mp_set.obj bn_mp_set_int.obj \ +bn_mp_set_long.obj bn_mp_set_long_long.obj bn_mp_shrink.obj bn_mp_signed_bin_size.obj bn_mp_sqr.obj bn_mp_sqrmod.obj \ +bn_mp_sqrt.obj bn_mp_sqrtmod_prime.obj bn_mp_sub.obj bn_mp_sub_d.obj bn_mp_submod.obj bn_mp_toom_mul.obj \ +bn_mp_toom_sqr.obj bn_mp_toradix.obj bn_mp_toradix_n.obj bn_mp_to_signed_bin.obj bn_mp_to_signed_bin_n.obj \ +bn_mp_to_unsigned_bin.obj bn_mp_to_unsigned_bin_n.obj bn_mp_unsigned_bin_size.obj bn_mp_xor.obj bn_mp_zero.obj \ +bn_prime_tab.obj bn_reverse.obj bn_s_mp_add.obj bn_s_mp_exptmod.obj bn_s_mp_mul_digs.obj bn_s_mp_mul_high_digs.obj \ +bn_s_mp_sqr.obj bn_s_mp_sub.obj + +#END_INS + +HEADERS=tommath.h tommath_class.h tommath_superclass.h TARGET = libtommath.lib diff --git a/libtommath/makefile.cygwin_dll b/libtommath/makefile.cygwin_dll index 85b10c7..6feb5b4 100644 --- a/libtommath/makefile.cygwin_dll +++ b/libtommath/makefile.cygwin_dll @@ -8,37 +8,39 @@ CFLAGS += -I./ -Wall -W -Wshadow -O3 -funroll-loops -mno-cygwin #x86 optimizations [should be valid for any GCC install though] -CFLAGS += -fomit-frame-pointer +CFLAGS += -fomit-frame-pointer default: windll -OBJECTS=bncore.o bn_mp_init.o bn_mp_clear.o bn_mp_exch.o bn_mp_grow.o bn_mp_shrink.o \ -bn_mp_clamp.o bn_mp_zero.o bn_mp_set.o bn_mp_set_int.o bn_mp_init_size.o bn_mp_copy.o \ -bn_mp_init_copy.o bn_mp_abs.o bn_mp_neg.o bn_mp_cmp_mag.o bn_mp_cmp.o bn_mp_cmp_d.o \ -bn_mp_rshd.o bn_mp_lshd.o bn_mp_mod_2d.o bn_mp_div_2d.o bn_mp_mul_2d.o bn_mp_div_2.o \ -bn_mp_mul_2.o bn_s_mp_add.o bn_s_mp_sub.o bn_fast_s_mp_mul_digs.o bn_s_mp_mul_digs.o \ -bn_fast_s_mp_mul_high_digs.o bn_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_s_mp_sqr.o \ -bn_mp_add.o bn_mp_sub.o bn_mp_karatsuba_mul.o bn_mp_mul.o bn_mp_karatsuba_sqr.o \ -bn_mp_sqr.o bn_mp_div.o bn_mp_mod.o bn_mp_add_d.o bn_mp_sub_d.o bn_mp_mul_d.o \ -bn_mp_div_d.o bn_mp_mod_d.o bn_mp_expt_d.o bn_mp_addmod.o bn_mp_submod.o \ -bn_mp_mulmod.o bn_mp_sqrmod.o bn_mp_gcd.o bn_mp_lcm.o bn_fast_mp_invmod.o bn_mp_invmod.o \ -bn_mp_reduce.o bn_mp_montgomery_setup.o bn_fast_mp_montgomery_reduce.o bn_mp_montgomery_reduce.o \ -bn_mp_exptmod_fast.o bn_mp_exptmod.o bn_mp_2expt.o bn_mp_n_root.o bn_mp_jacobi.o bn_reverse.o \ -bn_mp_count_bits.o bn_mp_read_unsigned_bin.o bn_mp_read_signed_bin.o bn_mp_to_unsigned_bin.o \ -bn_mp_to_signed_bin.o bn_mp_unsigned_bin_size.o bn_mp_signed_bin_size.o \ -bn_mp_xor.o bn_mp_and.o bn_mp_or.o bn_mp_rand.o bn_mp_montgomery_calc_normalization.o \ -bn_mp_prime_is_divisible.o bn_prime_tab.o bn_mp_prime_fermat.o bn_mp_prime_miller_rabin.o \ -bn_mp_prime_is_prime.o bn_mp_prime_next_prime.o bn_mp_dr_reduce.o \ -bn_mp_dr_is_modulus.o bn_mp_dr_setup.o bn_mp_reduce_setup.o \ -bn_mp_toom_mul.o bn_mp_toom_sqr.o bn_mp_div_3.o bn_s_mp_exptmod.o \ -bn_mp_reduce_2k.o bn_mp_reduce_is_2k.o bn_mp_reduce_2k_setup.o \ -bn_mp_reduce_2k_l.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_2k_setup_l.o \ -bn_mp_radix_smap.o bn_mp_read_radix.o bn_mp_toradix.o bn_mp_radix_size.o \ -bn_mp_fread.o bn_mp_fwrite.o bn_mp_cnt_lsb.o bn_error.o \ -bn_mp_init_multi.o bn_mp_clear_multi.o bn_mp_exteuclid.o bn_mp_toradix_n.o \ -bn_mp_prime_random_ex.o bn_mp_get_int.o bn_mp_sqrt.o bn_mp_is_square.o bn_mp_init_set.o \ -bn_mp_init_set_int.o bn_mp_invmod_slow.o bn_mp_prime_rabin_miller_trials.o \ -bn_mp_to_signed_bin_n.o bn_mp_to_unsigned_bin_n.o +#START_INS +OBJECTS=bncore.o bn_error.o bn_fast_mp_invmod.o bn_fast_mp_montgomery_reduce.o bn_fast_s_mp_mul_digs.o \ +bn_fast_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_mp_2expt.o bn_mp_abs.o bn_mp_add.o bn_mp_add_d.o \ +bn_mp_addmod.o bn_mp_and.o bn_mp_clamp.o bn_mp_clear.o bn_mp_clear_multi.o bn_mp_cmp.o bn_mp_cmp_d.o \ +bn_mp_cmp_mag.o bn_mp_cnt_lsb.o bn_mp_copy.o bn_mp_count_bits.o bn_mp_div_2.o bn_mp_div_2d.o bn_mp_div_3.o \ +bn_mp_div.o bn_mp_div_d.o bn_mp_dr_is_modulus.o bn_mp_dr_reduce.o bn_mp_dr_setup.o bn_mp_exch.o \ +bn_mp_export.o bn_mp_expt_d.o bn_mp_expt_d_ex.o bn_mp_exptmod.o bn_mp_exptmod_fast.o bn_mp_exteuclid.o \ +bn_mp_fread.o bn_mp_fwrite.o bn_mp_gcd.o bn_mp_get_int.o bn_mp_get_long.o bn_mp_get_long_long.o \ +bn_mp_grow.o bn_mp_import.o bn_mp_init.o bn_mp_init_copy.o bn_mp_init_multi.o bn_mp_init_set.o \ +bn_mp_init_set_int.o bn_mp_init_size.o bn_mp_invmod.o bn_mp_invmod_slow.o bn_mp_is_square.o \ +bn_mp_jacobi.o bn_mp_karatsuba_mul.o bn_mp_karatsuba_sqr.o bn_mp_lcm.o bn_mp_lshd.o bn_mp_mod_2d.o \ +bn_mp_mod.o bn_mp_mod_d.o bn_mp_montgomery_calc_normalization.o bn_mp_montgomery_reduce.o \ +bn_mp_montgomery_setup.o bn_mp_mul_2.o bn_mp_mul_2d.o bn_mp_mul.o bn_mp_mul_d.o bn_mp_mulmod.o bn_mp_neg.o \ +bn_mp_n_root.o bn_mp_n_root_ex.o bn_mp_or.o bn_mp_prime_fermat.o bn_mp_prime_is_divisible.o \ +bn_mp_prime_is_prime.o bn_mp_prime_miller_rabin.o bn_mp_prime_next_prime.o \ +bn_mp_prime_rabin_miller_trials.o bn_mp_prime_random_ex.o bn_mp_radix_size.o bn_mp_radix_smap.o \ +bn_mp_rand.o bn_mp_read_radix.o bn_mp_read_signed_bin.o bn_mp_read_unsigned_bin.o bn_mp_reduce_2k.o \ +bn_mp_reduce_2k_l.o bn_mp_reduce_2k_setup.o bn_mp_reduce_2k_setup_l.o bn_mp_reduce.o \ +bn_mp_reduce_is_2k.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_setup.o bn_mp_rshd.o bn_mp_set.o bn_mp_set_int.o \ +bn_mp_set_long.o bn_mp_set_long_long.o bn_mp_shrink.o bn_mp_signed_bin_size.o bn_mp_sqr.o bn_mp_sqrmod.o \ +bn_mp_sqrt.o bn_mp_sqrtmod_prime.o bn_mp_sub.o bn_mp_sub_d.o bn_mp_submod.o bn_mp_toom_mul.o \ +bn_mp_toom_sqr.o bn_mp_toradix.o bn_mp_toradix_n.o bn_mp_to_signed_bin.o bn_mp_to_signed_bin_n.o \ +bn_mp_to_unsigned_bin.o bn_mp_to_unsigned_bin_n.o bn_mp_unsigned_bin_size.o bn_mp_xor.o bn_mp_zero.o \ +bn_prime_tab.o bn_reverse.o bn_s_mp_add.o bn_s_mp_exptmod.o bn_s_mp_mul_digs.o bn_s_mp_mul_high_digs.o \ +bn_s_mp_sqr.o bn_s_mp_sub.o + +#END_INS + +HEADERS=tommath.h tommath_class.h tommath_superclass.h # make a Windows DLL via Cygwin windll: $(OBJECTS) @@ -49,3 +51,7 @@ windll: $(OBJECTS) test: $(OBJECTS) windll gcc $(CFLAGS) demo/demo.c libtommath.dll.a -Wl,--enable-auto-import -o test -s cd mtest ; $(CC) -O3 -fomit-frame-pointer -funroll-loops mtest.c -o mtest -s + +/* $Source: /cvs/libtom/libtommath/makefile.cygwin_dll,v $ */ +/* $Revision: 1.2 $ */ +/* $Date: 2005/05/05 14:38:45 $ */ diff --git a/libtommath/makefile.icc b/libtommath/makefile.icc index cf70ab0..1563802 100644 --- a/libtommath/makefile.icc +++ b/libtommath/makefile.icc @@ -11,7 +11,7 @@ CFLAGS += -I./ # -ax? specifies make code specifically for ? but compatible with IA-32 # -x? specifies compile solely for ? [not specifically IA-32 compatible] # -# where ? is +# where ? is # K - PIII # W - first P4 [Williamette] # N - P4 Northwood @@ -29,7 +29,6 @@ default: libtommath.a #default files to install LIBNAME=libtommath.a -HEADERS=tommath.h #LIBPATH-The directory for libtomcrypt to be installed to. #INCPATH-The directory to install the header files for libtommath. @@ -39,33 +38,35 @@ LIBPATH=/usr/lib INCPATH=/usr/include DATAPATH=/usr/share/doc/libtommath/pdf -OBJECTS=bncore.o bn_mp_init.o bn_mp_clear.o bn_mp_exch.o bn_mp_grow.o bn_mp_shrink.o \ -bn_mp_clamp.o bn_mp_zero.o bn_mp_set.o bn_mp_set_int.o bn_mp_init_size.o bn_mp_copy.o \ -bn_mp_init_copy.o bn_mp_abs.o bn_mp_neg.o bn_mp_cmp_mag.o bn_mp_cmp.o bn_mp_cmp_d.o \ -bn_mp_rshd.o bn_mp_lshd.o bn_mp_mod_2d.o bn_mp_div_2d.o bn_mp_mul_2d.o bn_mp_div_2.o \ -bn_mp_mul_2.o bn_s_mp_add.o bn_s_mp_sub.o bn_fast_s_mp_mul_digs.o bn_s_mp_mul_digs.o \ -bn_fast_s_mp_mul_high_digs.o bn_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_s_mp_sqr.o \ -bn_mp_add.o bn_mp_sub.o bn_mp_karatsuba_mul.o bn_mp_mul.o bn_mp_karatsuba_sqr.o \ -bn_mp_sqr.o bn_mp_div.o bn_mp_mod.o bn_mp_add_d.o bn_mp_sub_d.o bn_mp_mul_d.o \ -bn_mp_div_d.o bn_mp_mod_d.o bn_mp_expt_d.o bn_mp_addmod.o bn_mp_submod.o \ -bn_mp_mulmod.o bn_mp_sqrmod.o bn_mp_gcd.o bn_mp_lcm.o bn_fast_mp_invmod.o bn_mp_invmod.o \ -bn_mp_reduce.o bn_mp_montgomery_setup.o bn_fast_mp_montgomery_reduce.o bn_mp_montgomery_reduce.o \ -bn_mp_exptmod_fast.o bn_mp_exptmod.o bn_mp_2expt.o bn_mp_n_root.o bn_mp_jacobi.o bn_reverse.o \ -bn_mp_count_bits.o bn_mp_read_unsigned_bin.o bn_mp_read_signed_bin.o bn_mp_to_unsigned_bin.o \ -bn_mp_to_signed_bin.o bn_mp_unsigned_bin_size.o bn_mp_signed_bin_size.o \ -bn_mp_xor.o bn_mp_and.o bn_mp_or.o bn_mp_rand.o bn_mp_montgomery_calc_normalization.o \ -bn_mp_prime_is_divisible.o bn_prime_tab.o bn_mp_prime_fermat.o bn_mp_prime_miller_rabin.o \ -bn_mp_prime_is_prime.o bn_mp_prime_next_prime.o bn_mp_dr_reduce.o \ -bn_mp_dr_is_modulus.o bn_mp_dr_setup.o bn_mp_reduce_setup.o \ -bn_mp_toom_mul.o bn_mp_toom_sqr.o bn_mp_div_3.o bn_s_mp_exptmod.o \ -bn_mp_reduce_2k.o bn_mp_reduce_is_2k.o bn_mp_reduce_2k_setup.o \ -bn_mp_reduce_2k_l.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_2k_setup_l.o \ -bn_mp_radix_smap.o bn_mp_read_radix.o bn_mp_toradix.o bn_mp_radix_size.o \ -bn_mp_fread.o bn_mp_fwrite.o bn_mp_cnt_lsb.o bn_error.o \ -bn_mp_init_multi.o bn_mp_clear_multi.o bn_mp_exteuclid.o bn_mp_toradix_n.o \ -bn_mp_prime_random_ex.o bn_mp_get_int.o bn_mp_sqrt.o bn_mp_is_square.o bn_mp_init_set.o \ -bn_mp_init_set_int.o bn_mp_invmod_slow.o bn_mp_prime_rabin_miller_trials.o \ -bn_mp_to_signed_bin_n.o bn_mp_to_unsigned_bin_n.o +#START_INS +OBJECTS=bncore.o bn_error.o bn_fast_mp_invmod.o bn_fast_mp_montgomery_reduce.o bn_fast_s_mp_mul_digs.o \ +bn_fast_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_mp_2expt.o bn_mp_abs.o bn_mp_add.o bn_mp_add_d.o \ +bn_mp_addmod.o bn_mp_and.o bn_mp_clamp.o bn_mp_clear.o bn_mp_clear_multi.o bn_mp_cmp.o bn_mp_cmp_d.o \ +bn_mp_cmp_mag.o bn_mp_cnt_lsb.o bn_mp_copy.o bn_mp_count_bits.o bn_mp_div_2.o bn_mp_div_2d.o bn_mp_div_3.o \ +bn_mp_div.o bn_mp_div_d.o bn_mp_dr_is_modulus.o bn_mp_dr_reduce.o bn_mp_dr_setup.o bn_mp_exch.o \ +bn_mp_export.o bn_mp_expt_d.o bn_mp_expt_d_ex.o bn_mp_exptmod.o bn_mp_exptmod_fast.o bn_mp_exteuclid.o \ +bn_mp_fread.o bn_mp_fwrite.o bn_mp_gcd.o bn_mp_get_int.o bn_mp_get_long.o bn_mp_get_long_long.o \ +bn_mp_grow.o bn_mp_import.o bn_mp_init.o bn_mp_init_copy.o bn_mp_init_multi.o bn_mp_init_set.o \ +bn_mp_init_set_int.o bn_mp_init_size.o bn_mp_invmod.o bn_mp_invmod_slow.o bn_mp_is_square.o \ +bn_mp_jacobi.o bn_mp_karatsuba_mul.o bn_mp_karatsuba_sqr.o bn_mp_lcm.o bn_mp_lshd.o bn_mp_mod_2d.o \ +bn_mp_mod.o bn_mp_mod_d.o bn_mp_montgomery_calc_normalization.o bn_mp_montgomery_reduce.o \ +bn_mp_montgomery_setup.o bn_mp_mul_2.o bn_mp_mul_2d.o bn_mp_mul.o bn_mp_mul_d.o bn_mp_mulmod.o bn_mp_neg.o \ +bn_mp_n_root.o bn_mp_n_root_ex.o bn_mp_or.o bn_mp_prime_fermat.o bn_mp_prime_is_divisible.o \ +bn_mp_prime_is_prime.o bn_mp_prime_miller_rabin.o bn_mp_prime_next_prime.o \ +bn_mp_prime_rabin_miller_trials.o bn_mp_prime_random_ex.o bn_mp_radix_size.o bn_mp_radix_smap.o \ +bn_mp_rand.o bn_mp_read_radix.o bn_mp_read_signed_bin.o bn_mp_read_unsigned_bin.o bn_mp_reduce_2k.o \ +bn_mp_reduce_2k_l.o bn_mp_reduce_2k_setup.o bn_mp_reduce_2k_setup_l.o bn_mp_reduce.o \ +bn_mp_reduce_is_2k.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_setup.o bn_mp_rshd.o bn_mp_set.o bn_mp_set_int.o \ +bn_mp_set_long.o bn_mp_set_long_long.o bn_mp_shrink.o bn_mp_signed_bin_size.o bn_mp_sqr.o bn_mp_sqrmod.o \ +bn_mp_sqrt.o bn_mp_sqrtmod_prime.o bn_mp_sub.o bn_mp_sub_d.o bn_mp_submod.o bn_mp_toom_mul.o \ +bn_mp_toom_sqr.o bn_mp_toradix.o bn_mp_toradix_n.o bn_mp_to_signed_bin.o bn_mp_to_signed_bin_n.o \ +bn_mp_to_unsigned_bin.o bn_mp_to_unsigned_bin_n.o bn_mp_unsigned_bin_size.o bn_mp_xor.o bn_mp_zero.o \ +bn_prime_tab.o bn_reverse.o bn_s_mp_add.o bn_s_mp_exptmod.o bn_s_mp_mul_digs.o bn_s_mp_mul_high_digs.o \ +bn_s_mp_sqr.o bn_s_mp_sub.o + +#END_INS + +HEADERS=tommath.h tommath_class.h tommath_superclass.h libtommath.a: $(OBJECTS) $(AR) $(ARFLAGS) libtommath.a $(OBJECTS) @@ -75,7 +76,7 @@ libtommath.a: $(OBJECTS) # # This will build the library with profile generation # then run the test demo and rebuild the library. -# +# # So far I've seen improvements in the MP math profiled: make -f makefile.icc CFLAGS="$(CFLAGS) -prof_gen -DTESTING" timing @@ -83,7 +84,7 @@ profiled: rm -f *.a *.o ltmtest make -f makefile.icc CFLAGS="$(CFLAGS) -prof_use" -#make a single object profiled library +#make a single object profiled library profiled_single: perl gen.pl $(CC) $(CFLAGS) -prof_gen -DTESTING -c mpi.c -o mpi.o @@ -92,7 +93,7 @@ profiled_single: rm -f *.o ltmtest $(CC) $(CFLAGS) -prof_use -ip -DTESTING -c mpi.c -o mpi.o $(AR) $(ARFLAGS) libtommath.a mpi.o - ranlib libtommath.a + ranlib libtommath.a install: libtommath.a install -d -g $(GROUP) -o $(USER) $(DESTDIR)$(LIBPATH) @@ -102,10 +103,10 @@ install: libtommath.a test: libtommath.a demo/demo.o $(CC) demo/demo.o libtommath.a -o test - -mtest: test + +mtest: test cd mtest ; $(CC) $(CFLAGS) mtest.c -o mtest - + timing: libtommath.a $(CC) $(CFLAGS) -DTIMER demo/timing.c libtommath.a -o ltmtest diff --git a/libtommath/makefile.msvc b/libtommath/makefile.msvc index 5edebec..a47aadd 100644 --- a/libtommath/makefile.msvc +++ b/libtommath/makefile.msvc @@ -6,33 +6,33 @@ CFLAGS = /I. /Ox /DWIN32 /W3 /Fo$@ default: library -OBJECTS=bncore.obj bn_mp_init.obj bn_mp_clear.obj bn_mp_exch.obj bn_mp_grow.obj bn_mp_shrink.obj \ -bn_mp_clamp.obj bn_mp_zero.obj bn_mp_set.obj bn_mp_set_int.obj bn_mp_init_size.obj bn_mp_copy.obj \ -bn_mp_init_copy.obj bn_mp_abs.obj bn_mp_neg.obj bn_mp_cmp_mag.obj bn_mp_cmp.obj bn_mp_cmp_d.obj \ -bn_mp_rshd.obj bn_mp_lshd.obj bn_mp_mod_2d.obj bn_mp_div_2d.obj bn_mp_mul_2d.obj bn_mp_div_2.obj \ -bn_mp_mul_2.obj bn_s_mp_add.obj bn_s_mp_sub.obj bn_fast_s_mp_mul_digs.obj bn_s_mp_mul_digs.obj \ -bn_fast_s_mp_mul_high_digs.obj bn_s_mp_mul_high_digs.obj bn_fast_s_mp_sqr.obj bn_s_mp_sqr.obj \ -bn_mp_add.obj bn_mp_sub.obj bn_mp_karatsuba_mul.obj bn_mp_mul.obj bn_mp_karatsuba_sqr.obj \ -bn_mp_sqr.obj bn_mp_div.obj bn_mp_mod.obj bn_mp_add_d.obj bn_mp_sub_d.obj bn_mp_mul_d.obj \ -bn_mp_div_d.obj bn_mp_mod_d.obj bn_mp_expt_d.obj bn_mp_addmod.obj bn_mp_submod.obj \ -bn_mp_mulmod.obj bn_mp_sqrmod.obj bn_mp_gcd.obj bn_mp_lcm.obj bn_fast_mp_invmod.obj bn_mp_invmod.obj \ -bn_mp_reduce.obj bn_mp_montgomery_setup.obj bn_fast_mp_montgomery_reduce.obj bn_mp_montgomery_reduce.obj \ -bn_mp_exptmod_fast.obj bn_mp_exptmod.obj bn_mp_2expt.obj bn_mp_n_root.obj bn_mp_jacobi.obj bn_reverse.obj \ -bn_mp_count_bits.obj bn_mp_read_unsigned_bin.obj bn_mp_read_signed_bin.obj bn_mp_to_unsigned_bin.obj \ -bn_mp_to_signed_bin.obj bn_mp_unsigned_bin_size.obj bn_mp_signed_bin_size.obj \ -bn_mp_xor.obj bn_mp_and.obj bn_mp_or.obj bn_mp_rand.obj bn_mp_montgomery_calc_normalization.obj \ -bn_mp_prime_is_divisible.obj bn_prime_tab.obj bn_mp_prime_fermat.obj bn_mp_prime_miller_rabin.obj \ -bn_mp_prime_is_prime.obj bn_mp_prime_next_prime.obj bn_mp_dr_reduce.obj \ -bn_mp_dr_is_modulus.obj bn_mp_dr_setup.obj bn_mp_reduce_setup.obj \ -bn_mp_toom_mul.obj bn_mp_toom_sqr.obj bn_mp_div_3.obj bn_s_mp_exptmod.obj \ -bn_mp_reduce_2k.obj bn_mp_reduce_is_2k.obj bn_mp_reduce_2k_setup.obj \ -bn_mp_reduce_2k_l.obj bn_mp_reduce_is_2k_l.obj bn_mp_reduce_2k_setup_l.obj \ -bn_mp_radix_smap.obj bn_mp_read_radix.obj bn_mp_toradix.obj bn_mp_radix_size.obj \ -bn_mp_fread.obj bn_mp_fwrite.obj bn_mp_cnt_lsb.obj bn_error.obj \ -bn_mp_init_multi.obj bn_mp_clear_multi.obj bn_mp_exteuclid.obj bn_mp_toradix_n.obj \ -bn_mp_prime_random_ex.obj bn_mp_get_int.obj bn_mp_sqrt.obj bn_mp_is_square.obj \ -bn_mp_init_set.obj bn_mp_init_set_int.obj bn_mp_invmod_slow.obj bn_mp_prime_rabin_miller_trials.obj \ -bn_mp_to_signed_bin_n.obj bn_mp_to_unsigned_bin_n.obj +#START_INS +OBJECTS=bncore.obj bn_error.obj bn_fast_mp_invmod.obj bn_fast_mp_montgomery_reduce.obj bn_fast_s_mp_mul_digs.obj \ +bn_fast_s_mp_mul_high_digs.obj bn_fast_s_mp_sqr.obj bn_mp_2expt.obj bn_mp_abs.obj bn_mp_add.obj bn_mp_add_d.obj \ +bn_mp_addmod.obj bn_mp_and.obj bn_mp_clamp.obj bn_mp_clear.obj bn_mp_clear_multi.obj bn_mp_cmp.obj bn_mp_cmp_d.obj \ +bn_mp_cmp_mag.obj bn_mp_cnt_lsb.obj bn_mp_copy.obj bn_mp_count_bits.obj bn_mp_div_2.obj bn_mp_div_2d.obj bn_mp_div_3.obj \ +bn_mp_div.obj bn_mp_div_d.obj bn_mp_dr_is_modulus.obj bn_mp_dr_reduce.obj bn_mp_dr_setup.obj bn_mp_exch.obj \ +bn_mp_export.obj bn_mp_expt_d.obj bn_mp_expt_d_ex.obj bn_mp_exptmod.obj bn_mp_exptmod_fast.obj bn_mp_exteuclid.obj \ +bn_mp_fread.obj bn_mp_fwrite.obj bn_mp_gcd.obj bn_mp_get_int.obj bn_mp_get_long.obj bn_mp_get_long_long.obj \ +bn_mp_grow.obj bn_mp_import.obj bn_mp_init.obj bn_mp_init_copy.obj bn_mp_init_multi.obj bn_mp_init_set.obj \ +bn_mp_init_set_int.obj bn_mp_init_size.obj bn_mp_invmod.obj bn_mp_invmod_slow.obj bn_mp_is_square.obj \ +bn_mp_jacobi.obj bn_mp_karatsuba_mul.obj bn_mp_karatsuba_sqr.obj bn_mp_lcm.obj bn_mp_lshd.obj bn_mp_mod_2d.obj \ +bn_mp_mod.obj bn_mp_mod_d.obj bn_mp_montgomery_calc_normalization.obj bn_mp_montgomery_reduce.obj \ +bn_mp_montgomery_setup.obj bn_mp_mul_2.obj bn_mp_mul_2d.obj bn_mp_mul.obj bn_mp_mul_d.obj bn_mp_mulmod.obj bn_mp_neg.obj \ +bn_mp_n_root.obj bn_mp_n_root_ex.obj bn_mp_or.obj bn_mp_prime_fermat.obj bn_mp_prime_is_divisible.obj \ +bn_mp_prime_is_prime.obj bn_mp_prime_miller_rabin.obj bn_mp_prime_next_prime.obj \ +bn_mp_prime_rabin_miller_trials.obj bn_mp_prime_random_ex.obj bn_mp_radix_size.obj bn_mp_radix_smap.obj \ +bn_mp_rand.obj bn_mp_read_radix.obj bn_mp_read_signed_bin.obj bn_mp_read_unsigned_bin.obj bn_mp_reduce_2k.obj \ +bn_mp_reduce_2k_l.obj bn_mp_reduce_2k_setup.obj bn_mp_reduce_2k_setup_l.obj bn_mp_reduce.obj \ +bn_mp_reduce_is_2k.obj bn_mp_reduce_is_2k_l.obj bn_mp_reduce_setup.obj bn_mp_rshd.obj bn_mp_set.obj bn_mp_set_int.obj \ +bn_mp_set_long.obj bn_mp_set_long_long.obj bn_mp_shrink.obj bn_mp_signed_bin_size.obj bn_mp_sqr.obj bn_mp_sqrmod.obj \ +bn_mp_sqrt.obj bn_mp_sqrtmod_prime.obj bn_mp_sub.obj bn_mp_sub_d.obj bn_mp_submod.obj bn_mp_toom_mul.obj \ +bn_mp_toom_sqr.obj bn_mp_toradix.obj bn_mp_toradix_n.obj bn_mp_to_signed_bin.obj bn_mp_to_signed_bin_n.obj \ +bn_mp_to_unsigned_bin.obj bn_mp_to_unsigned_bin_n.obj bn_mp_unsigned_bin_size.obj bn_mp_xor.obj bn_mp_zero.obj \ +bn_prime_tab.obj bn_reverse.obj bn_s_mp_add.obj bn_s_mp_exptmod.obj bn_s_mp_mul_digs.obj bn_s_mp_mul_high_digs.obj \ +bn_s_mp_sqr.obj bn_s_mp_sub.obj + +#END_INS HEADERS=tommath.h tommath_class.h tommath_superclass.h diff --git a/libtommath/makefile.shared b/libtommath/makefile.shared index f17bbbd..559720e 100644 --- a/libtommath/makefile.shared +++ b/libtommath/makefile.shared @@ -1,102 +1,71 @@ #Makefile for GCC # #Tom St Denis -VERSION=0:41 - -CC = libtool --mode=compile --tag=CC gcc - -CFLAGS += -I./ -Wall -W -Wshadow -Wsign-compare - -ifndef IGNORE_SPEED - -#for speed -CFLAGS += -O3 -funroll-loops - -#for size -#CFLAGS += -Os - -#x86 optimizations [should be valid for any GCC install though] -CFLAGS += -fomit-frame-pointer - -endif - -#install as this user -ifndef INSTALL_GROUP - GROUP=wheel -else - GROUP=$(INSTALL_GROUP) -endif - -ifndef INSTALL_USER - USER=root -else - USER=$(INSTALL_USER) -endif - -default: libtommath.la #default files to install ifndef LIBNAME LIBNAME=libtommath.la endif -ifndef LIBNAME_S - LIBNAME_S=libtommath.a -endif -HEADERS=tommath.h tommath_class.h tommath_superclass.h - -#LIBPATH-The directory for libtommath to be installed to. -#INCPATH-The directory to install the header files for libtommath. -#DATAPATH-The directory to install the pdf docs. -DESTDIR= -LIBPATH=/usr/lib -INCPATH=/usr/include -DATAPATH=/usr/share/doc/libtommath/pdf -OBJECTS=bncore.o bn_mp_init.o bn_mp_clear.o bn_mp_exch.o bn_mp_grow.o bn_mp_shrink.o \ -bn_mp_clamp.o bn_mp_zero.o bn_mp_set.o bn_mp_set_int.o bn_mp_init_size.o bn_mp_copy.o \ -bn_mp_init_copy.o bn_mp_abs.o bn_mp_neg.o bn_mp_cmp_mag.o bn_mp_cmp.o bn_mp_cmp_d.o \ -bn_mp_rshd.o bn_mp_lshd.o bn_mp_mod_2d.o bn_mp_div_2d.o bn_mp_mul_2d.o bn_mp_div_2.o \ -bn_mp_mul_2.o bn_s_mp_add.o bn_s_mp_sub.o bn_fast_s_mp_mul_digs.o bn_s_mp_mul_digs.o \ -bn_fast_s_mp_mul_high_digs.o bn_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_s_mp_sqr.o \ -bn_mp_add.o bn_mp_sub.o bn_mp_karatsuba_mul.o bn_mp_mul.o bn_mp_karatsuba_sqr.o \ -bn_mp_sqr.o bn_mp_div.o bn_mp_mod.o bn_mp_add_d.o bn_mp_sub_d.o bn_mp_mul_d.o \ -bn_mp_div_d.o bn_mp_mod_d.o bn_mp_expt_d.o bn_mp_addmod.o bn_mp_submod.o \ -bn_mp_mulmod.o bn_mp_sqrmod.o bn_mp_gcd.o bn_mp_lcm.o bn_fast_mp_invmod.o bn_mp_invmod.o \ -bn_mp_reduce.o bn_mp_montgomery_setup.o bn_fast_mp_montgomery_reduce.o bn_mp_montgomery_reduce.o \ -bn_mp_exptmod_fast.o bn_mp_exptmod.o bn_mp_2expt.o bn_mp_n_root.o bn_mp_jacobi.o bn_reverse.o \ -bn_mp_count_bits.o bn_mp_read_unsigned_bin.o bn_mp_read_signed_bin.o bn_mp_to_unsigned_bin.o \ -bn_mp_to_signed_bin.o bn_mp_unsigned_bin_size.o bn_mp_signed_bin_size.o \ -bn_mp_xor.o bn_mp_and.o bn_mp_or.o bn_mp_rand.o bn_mp_montgomery_calc_normalization.o \ -bn_mp_prime_is_divisible.o bn_prime_tab.o bn_mp_prime_fermat.o bn_mp_prime_miller_rabin.o \ -bn_mp_prime_is_prime.o bn_mp_prime_next_prime.o bn_mp_dr_reduce.o \ -bn_mp_dr_is_modulus.o bn_mp_dr_setup.o bn_mp_reduce_setup.o \ -bn_mp_toom_mul.o bn_mp_toom_sqr.o bn_mp_div_3.o bn_s_mp_exptmod.o \ -bn_mp_reduce_2k.o bn_mp_reduce_is_2k.o bn_mp_reduce_2k_setup.o \ -bn_mp_reduce_2k_l.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_2k_setup_l.o \ -bn_mp_radix_smap.o bn_mp_read_radix.o bn_mp_toradix.o bn_mp_radix_size.o \ -bn_mp_fread.o bn_mp_fwrite.o bn_mp_cnt_lsb.o bn_error.o \ -bn_mp_init_multi.o bn_mp_clear_multi.o bn_mp_exteuclid.o bn_mp_toradix_n.o \ -bn_mp_prime_random_ex.o bn_mp_get_int.o bn_mp_sqrt.o bn_mp_is_square.o bn_mp_init_set.o \ -bn_mp_init_set_int.o bn_mp_invmod_slow.o bn_mp_prime_rabin_miller_trials.o \ -bn_mp_to_signed_bin_n.o bn_mp_to_unsigned_bin_n.o +include makefile.include + +LT ?= libtool +LTCOMPILE = $(LT) --mode=compile --tag=CC $(CC) + +LCOV_ARGS=--directory .libs --directory . + +#START_INS +OBJECTS=bncore.o bn_error.o bn_fast_mp_invmod.o bn_fast_mp_montgomery_reduce.o bn_fast_s_mp_mul_digs.o \ +bn_fast_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_mp_2expt.o bn_mp_abs.o bn_mp_add.o bn_mp_add_d.o \ +bn_mp_addmod.o bn_mp_and.o bn_mp_clamp.o bn_mp_clear.o bn_mp_clear_multi.o bn_mp_cmp.o bn_mp_cmp_d.o \ +bn_mp_cmp_mag.o bn_mp_cnt_lsb.o bn_mp_copy.o bn_mp_count_bits.o bn_mp_div_2.o bn_mp_div_2d.o bn_mp_div_3.o \ +bn_mp_div.o bn_mp_div_d.o bn_mp_dr_is_modulus.o bn_mp_dr_reduce.o bn_mp_dr_setup.o bn_mp_exch.o \ +bn_mp_export.o bn_mp_expt_d.o bn_mp_expt_d_ex.o bn_mp_exptmod.o bn_mp_exptmod_fast.o bn_mp_exteuclid.o \ +bn_mp_fread.o bn_mp_fwrite.o bn_mp_gcd.o bn_mp_get_int.o bn_mp_get_long.o bn_mp_get_long_long.o \ +bn_mp_grow.o bn_mp_import.o bn_mp_init.o bn_mp_init_copy.o bn_mp_init_multi.o bn_mp_init_set.o \ +bn_mp_init_set_int.o bn_mp_init_size.o bn_mp_invmod.o bn_mp_invmod_slow.o bn_mp_is_square.o \ +bn_mp_jacobi.o bn_mp_karatsuba_mul.o bn_mp_karatsuba_sqr.o bn_mp_lcm.o bn_mp_lshd.o bn_mp_mod_2d.o \ +bn_mp_mod.o bn_mp_mod_d.o bn_mp_montgomery_calc_normalization.o bn_mp_montgomery_reduce.o \ +bn_mp_montgomery_setup.o bn_mp_mul_2.o bn_mp_mul_2d.o bn_mp_mul.o bn_mp_mul_d.o bn_mp_mulmod.o bn_mp_neg.o \ +bn_mp_n_root.o bn_mp_n_root_ex.o bn_mp_or.o bn_mp_prime_fermat.o bn_mp_prime_is_divisible.o \ +bn_mp_prime_is_prime.o bn_mp_prime_miller_rabin.o bn_mp_prime_next_prime.o \ +bn_mp_prime_rabin_miller_trials.o bn_mp_prime_random_ex.o bn_mp_radix_size.o bn_mp_radix_smap.o \ +bn_mp_rand.o bn_mp_read_radix.o bn_mp_read_signed_bin.o bn_mp_read_unsigned_bin.o bn_mp_reduce_2k.o \ +bn_mp_reduce_2k_l.o bn_mp_reduce_2k_setup.o bn_mp_reduce_2k_setup_l.o bn_mp_reduce.o \ +bn_mp_reduce_is_2k.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_setup.o bn_mp_rshd.o bn_mp_set.o bn_mp_set_int.o \ +bn_mp_set_long.o bn_mp_set_long_long.o bn_mp_shrink.o bn_mp_signed_bin_size.o bn_mp_sqr.o bn_mp_sqrmod.o \ +bn_mp_sqrt.o bn_mp_sqrtmod_prime.o bn_mp_sub.o bn_mp_sub_d.o bn_mp_submod.o bn_mp_toom_mul.o \ +bn_mp_toom_sqr.o bn_mp_toradix.o bn_mp_toradix_n.o bn_mp_to_signed_bin.o bn_mp_to_signed_bin_n.o \ +bn_mp_to_unsigned_bin.o bn_mp_to_unsigned_bin_n.o bn_mp_unsigned_bin_size.o bn_mp_xor.o bn_mp_zero.o \ +bn_prime_tab.o bn_reverse.o bn_s_mp_add.o bn_s_mp_exptmod.o bn_s_mp_mul_digs.o bn_s_mp_mul_high_digs.o \ +bn_s_mp_sqr.o bn_s_mp_sub.o + +#END_INS objs: $(OBJECTS) +.c.o: + $(LTCOMPILE) $(CFLAGS) $(LDFLAGS) -o $@ -c $< + $(LIBNAME): $(OBJECTS) - libtool --mode=link gcc *.lo -o $(LIBNAME) -rpath $(LIBPATH) -version-info $(VERSION) + $(LT) --mode=link --tag=CC $(CC) $(LDFLAGS) *.lo -o $(LIBNAME) -rpath $(LIBPATH) -version-info $(VERSION_SO) install: $(LIBNAME) - install -d -g $(GROUP) -o $(USER) $(DESTDIR)$(LIBPATH) - libtool --mode=install install -c $(LIBNAME) $(DESTDIR)$(LIBPATH)/$(LIBNAME) - install -d -g $(GROUP) -o $(USER) $(DESTDIR)$(INCPATH) - install -g $(GROUP) -o $(USER) $(HEADERS) $(DESTDIR)$(INCPATH) + install -d $(DESTDIR)$(LIBPATH) + install -d $(DESTDIR)$(INCPATH) + $(LT) --mode=install install -c $(LIBNAME) $(DESTDIR)$(LIBPATH)/$(LIBNAME) + install -m 644 $(HEADERS_PUB) $(DESTDIR)$(INCPATH) test: $(LIBNAME) demo/demo.o - gcc $(CFLAGS) -c demo/demo.c -o demo/demo.o - libtool --mode=link gcc -o test demo/demo.o $(LIBNAME_S) - -mtest: test - cd mtest ; gcc $(CFLAGS) mtest.c -o mtest - + $(CC) $(CFLAGS) -c demo/demo.c -o demo/demo.o + $(LT) --mode=link $(CC) $(LDFLAGS) -o test demo/demo.o $(LIBNAME) + +test_standalone: $(LIBNAME) demo/demo.o + $(CC) $(CFLAGS) -c demo/demo.c -o demo/demo.o + $(LT) --mode=link $(CC) $(LDFLAGS) -o test demo/demo.o $(LIBNAME) + +mtest: + cd mtest ; $(CC) $(CFLAGS) $(LDFLAGS) mtest.c -o mtest + timing: $(LIBNAME) - gcc $(CFLAGS) -DTIMER demo/timing.c $(LIBNAME_S) -o ltmtest + $(LT) --mode=link $(CC) $(CFLAGS) $(LDFLAGS) -DTIMER demo/timing.c $(LIBNAME) -o ltmtest diff --git a/libtommath/mtest/logtab.h b/libtommath/mtest/logtab.h deleted file mode 100644 index addd3ab..0000000 --- a/libtommath/mtest/logtab.h +++ /dev/null @@ -1,19 +0,0 @@ -const float s_logv_2[] = { - 0.000000000, 0.000000000, 1.000000000, 0.630929754, /* 0 1 2 3 */ - 0.500000000, 0.430676558, 0.386852807, 0.356207187, /* 4 5 6 7 */ - 0.333333333, 0.315464877, 0.301029996, 0.289064826, /* 8 9 10 11 */ - 0.278942946, 0.270238154, 0.262649535, 0.255958025, /* 12 13 14 15 */ - 0.250000000, 0.244650542, 0.239812467, 0.235408913, /* 16 17 18 19 */ - 0.231378213, 0.227670249, 0.224243824, 0.221064729, /* 20 21 22 23 */ - 0.218104292, 0.215338279, 0.212746054, 0.210309918, /* 24 25 26 27 */ - 0.208014598, 0.205846832, 0.203795047, 0.201849087, /* 28 29 30 31 */ - 0.200000000, 0.198239863, 0.196561632, 0.194959022, /* 32 33 34 35 */ - 0.193426404, 0.191958720, 0.190551412, 0.189200360, /* 36 37 38 39 */ - 0.187901825, 0.186652411, 0.185449023, 0.184288833, /* 40 41 42 43 */ - 0.183169251, 0.182087900, 0.181042597, 0.180031327, /* 44 45 46 47 */ - 0.179052232, 0.178103594, 0.177183820, 0.176291434, /* 48 49 50 51 */ - 0.175425064, 0.174583430, 0.173765343, 0.172969690, /* 52 53 54 55 */ - 0.172195434, 0.171441601, 0.170707280, 0.169991616, /* 56 57 58 59 */ - 0.169293808, 0.168613099, 0.167948779, 0.167300179, /* 60 61 62 63 */ - 0.166666667 -}; diff --git a/libtommath/mtest/mpi-config.h b/libtommath/mtest/mpi-config.h deleted file mode 100644 index a347263..0000000 --- a/libtommath/mtest/mpi-config.h +++ /dev/null @@ -1,85 +0,0 @@ -/* Default configuration for MPI library */ - -#ifndef MPI_CONFIG_H_ -#define MPI_CONFIG_H_ - -/* - For boolean options, - 0 = no - 1 = yes - - Other options are documented individually. - - */ - -#ifndef MP_IOFUNC -#define MP_IOFUNC 0 /* include mp_print() ? */ -#endif - -#ifndef MP_MODARITH -#define MP_MODARITH 1 /* include modular arithmetic ? */ -#endif - -#ifndef MP_NUMTH -#define MP_NUMTH 1 /* include number theoretic functions? */ -#endif - -#ifndef MP_LOGTAB -#define MP_LOGTAB 1 /* use table of logs instead of log()? */ -#endif - -#ifndef MP_MEMSET -#define MP_MEMSET 1 /* use memset() to zero buffers? */ -#endif - -#ifndef MP_MEMCPY -#define MP_MEMCPY 1 /* use memcpy() to copy buffers? */ -#endif - -#ifndef MP_CRYPTO -#define MP_CRYPTO 1 /* erase memory on free? */ -#endif - -#ifndef MP_ARGCHK -/* - 0 = no parameter checks - 1 = runtime checks, continue execution and return an error to caller - 2 = assertions; dump core on parameter errors - */ -#define MP_ARGCHK 2 /* how to check input arguments */ -#endif - -#ifndef MP_DEBUG -#define MP_DEBUG 0 /* print diagnostic output? */ -#endif - -#ifndef MP_DEFPREC -#define MP_DEFPREC 64 /* default precision, in digits */ -#endif - -#ifndef MP_MACRO -#define MP_MACRO 1 /* use macros for frequent calls? */ -#endif - -#ifndef MP_SQUARE -#define MP_SQUARE 1 /* use separate squaring code? */ -#endif - -#ifndef MP_PTAB_SIZE -/* - When building mpprime.c, we build in a table of small prime - values to use for primality testing. The more you include, - the more space they take up. See primes.c for the possible - values (currently 16, 32, 64, 128, 256, and 6542) - */ -#define MP_PTAB_SIZE 128 /* how many built-in primes? */ -#endif - -#ifndef MP_COMPAT_MACROS -#define MP_COMPAT_MACROS 1 /* define compatibility macros? */ -#endif - -#endif /* ifndef MPI_CONFIG_H_ */ - - -/* crc==3287762869, version==2, Sat Feb 02 06:43:53 2002 */ diff --git a/libtommath/mtest/mpi-types.h b/libtommath/mtest/mpi-types.h deleted file mode 100644 index 42ccfc3..0000000 --- a/libtommath/mtest/mpi-types.h +++ /dev/null @@ -1,15 +0,0 @@ -/* Type definitions generated by 'types.pl' */ -typedef char mp_sign; -typedef unsigned short mp_digit; /* 2 byte type */ -typedef unsigned int mp_word; /* 4 byte type */ -typedef unsigned int mp_size; -typedef int mp_err; - -#define MP_DIGIT_BIT (CHAR_BIT*sizeof(mp_digit)) -#define MP_DIGIT_MAX USHRT_MAX -#define MP_WORD_BIT (CHAR_BIT*sizeof(mp_word)) -#define MP_WORD_MAX UINT_MAX - -#define MP_DIGIT_SIZE 2 -#define DIGIT_FMT "%04X" -#define RADIX (MP_DIGIT_MAX+1) diff --git a/libtommath/mtest/mpi.c b/libtommath/mtest/mpi.c deleted file mode 100644 index 4566e89..0000000 --- a/libtommath/mtest/mpi.c +++ /dev/null @@ -1,3979 +0,0 @@ -/* - mpi.c - - by Michael J. Fromberger - Copyright (C) 1998 Michael J. Fromberger, All Rights Reserved - - Arbitrary precision integer arithmetic library - */ - -#include "mpi.h" -#include -#include -#include - -#if MP_DEBUG -#include - -#define DIAG(T,V) {fprintf(stderr,T);mp_print(V,stderr);fputc('\n',stderr);} -#else -#define DIAG(T,V) -#endif - -/* - If MP_LOGTAB is not defined, use the math library to compute the - logarithms on the fly. Otherwise, use the static table below. - Pick which works best for your system. - */ -#if MP_LOGTAB - -/* {{{ s_logv_2[] - log table for 2 in various bases */ - -/* - A table of the logs of 2 for various bases (the 0 and 1 entries of - this table are meaningless and should not be referenced). - - This table is used to compute output lengths for the mp_toradix() - function. Since a number n in radix r takes up about log_r(n) - digits, we estimate the output size by taking the least integer - greater than log_r(n), where: - - log_r(n) = log_2(n) * log_r(2) - - This table, therefore, is a table of log_r(2) for 2 <= r <= 36, - which are the output bases supported. - */ - -#include "logtab.h" - -/* }}} */ -#define LOG_V_2(R) s_logv_2[(R)] - -#else - -#include -#define LOG_V_2(R) (log(2.0)/log(R)) - -#endif - -/* Default precision for newly created mp_int's */ -static unsigned int s_mp_defprec = MP_DEFPREC; - -/* {{{ Digit arithmetic macros */ - -/* - When adding and multiplying digits, the results can be larger than - can be contained in an mp_digit. Thus, an mp_word is used. These - macros mask off the upper and lower digits of the mp_word (the - mp_word may be more than 2 mp_digits wide, but we only concern - ourselves with the low-order 2 mp_digits) - - If your mp_word DOES have more than 2 mp_digits, you need to - uncomment the first line, and comment out the second. - */ - -/* #define CARRYOUT(W) (((W)>>DIGIT_BIT)&MP_DIGIT_MAX) */ -#define CARRYOUT(W) ((W)>>DIGIT_BIT) -#define ACCUM(W) ((W)&MP_DIGIT_MAX) - -/* }}} */ - -/* {{{ Comparison constants */ - -#define MP_LT -1 -#define MP_EQ 0 -#define MP_GT 1 - -/* }}} */ - -/* {{{ Constant strings */ - -/* Constant strings returned by mp_strerror() */ -static const char *const mp_err_string[] = { - "unknown result code", /* say what? */ - "boolean true", /* MP_OKAY, MP_YES */ - "boolean false", /* MP_NO */ - "out of memory", /* MP_MEM */ - "argument out of range", /* MP_RANGE */ - "invalid input parameter", /* MP_BADARG */ - "result is undefined" /* MP_UNDEF */ -}; - -/* Value to digit maps for radix conversion */ - -/* s_dmap_1 - standard digits and letters */ -static const char *s_dmap_1 = - "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz+/"; - -#if 0 -/* s_dmap_2 - base64 ordering for digits */ -static const char *s_dmap_2 = - "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/"; -#endif - -/* }}} */ - -/* {{{ Static function declarations */ - -/* - If MP_MACRO is false, these will be defined as actual functions; - otherwise, suitable macro definitions will be used. This works - around the fact that ANSI C89 doesn't support an 'inline' keyword - (although I hear C9x will ... about bloody time). At present, the - macro definitions are identical to the function bodies, but they'll - expand in place, instead of generating a function call. - - I chose these particular functions to be made into macros because - some profiling showed they are called a lot on a typical workload, - and yet they are primarily housekeeping. - */ -#if MP_MACRO == 0 - void s_mp_setz(mp_digit *dp, mp_size count); /* zero digits */ - void s_mp_copy(mp_digit *sp, mp_digit *dp, mp_size count); /* copy */ - void *s_mp_alloc(size_t nb, size_t ni); /* general allocator */ - void s_mp_free(void *ptr); /* general free function */ -#else - - /* Even if these are defined as macros, we need to respect the settings - of the MP_MEMSET and MP_MEMCPY configuration options... - */ - #if MP_MEMSET == 0 - #define s_mp_setz(dp, count) \ - {int ix;for(ix=0;ix<(count);ix++)(dp)[ix]=0;} - #else - #define s_mp_setz(dp, count) memset(dp, 0, (count) * sizeof(mp_digit)) - #endif /* MP_MEMSET */ - - #if MP_MEMCPY == 0 - #define s_mp_copy(sp, dp, count) \ - {int ix;for(ix=0;ix<(count);ix++)(dp)[ix]=(sp)[ix];} - #else - #define s_mp_copy(sp, dp, count) memcpy(dp, sp, (count) * sizeof(mp_digit)) - #endif /* MP_MEMCPY */ - - #define s_mp_alloc(nb, ni) calloc(nb, ni) - #define s_mp_free(ptr) {if(ptr) free(ptr);} -#endif /* MP_MACRO */ - -mp_err s_mp_grow(mp_int *mp, mp_size min); /* increase allocated size */ -mp_err s_mp_pad(mp_int *mp, mp_size min); /* left pad with zeroes */ - -void s_mp_clamp(mp_int *mp); /* clip leading zeroes */ - -void s_mp_exch(mp_int *a, mp_int *b); /* swap a and b in place */ - -mp_err s_mp_lshd(mp_int *mp, mp_size p); /* left-shift by p digits */ -void s_mp_rshd(mp_int *mp, mp_size p); /* right-shift by p digits */ -void s_mp_div_2d(mp_int *mp, mp_digit d); /* divide by 2^d in place */ -void s_mp_mod_2d(mp_int *mp, mp_digit d); /* modulo 2^d in place */ -mp_err s_mp_mul_2d(mp_int *mp, mp_digit d); /* multiply by 2^d in place*/ -void s_mp_div_2(mp_int *mp); /* divide by 2 in place */ -mp_err s_mp_mul_2(mp_int *mp); /* multiply by 2 in place */ -mp_digit s_mp_norm(mp_int *a, mp_int *b); /* normalize for division */ -mp_err s_mp_add_d(mp_int *mp, mp_digit d); /* unsigned digit addition */ -mp_err s_mp_sub_d(mp_int *mp, mp_digit d); /* unsigned digit subtract */ -mp_err s_mp_mul_d(mp_int *mp, mp_digit d); /* unsigned digit multiply */ -mp_err s_mp_div_d(mp_int *mp, mp_digit d, mp_digit *r); - /* unsigned digit divide */ -mp_err s_mp_reduce(mp_int *x, mp_int *m, mp_int *mu); - /* Barrett reduction */ -mp_err s_mp_add(mp_int *a, mp_int *b); /* magnitude addition */ -mp_err s_mp_sub(mp_int *a, mp_int *b); /* magnitude subtract */ -mp_err s_mp_mul(mp_int *a, mp_int *b); /* magnitude multiply */ -#if 0 -void s_mp_kmul(mp_digit *a, mp_digit *b, mp_digit *out, mp_size len); - /* multiply buffers in place */ -#endif -#if MP_SQUARE -mp_err s_mp_sqr(mp_int *a); /* magnitude square */ -#else -#define s_mp_sqr(a) s_mp_mul(a, a) -#endif -mp_err s_mp_div(mp_int *a, mp_int *b); /* magnitude divide */ -mp_err s_mp_2expt(mp_int *a, mp_digit k); /* a = 2^k */ -int s_mp_cmp(mp_int *a, mp_int *b); /* magnitude comparison */ -int s_mp_cmp_d(mp_int *a, mp_digit d); /* magnitude digit compare */ -int s_mp_ispow2(mp_int *v); /* is v a power of 2? */ -int s_mp_ispow2d(mp_digit d); /* is d a power of 2? */ - -int s_mp_tovalue(char ch, int r); /* convert ch to value */ -char s_mp_todigit(int val, int r, int low); /* convert val to digit */ -int s_mp_outlen(int bits, int r); /* output length in bytes */ - -/* }}} */ - -/* {{{ Default precision manipulation */ - -unsigned int mp_get_prec(void) -{ - return s_mp_defprec; - -} /* end mp_get_prec() */ - -void mp_set_prec(unsigned int prec) -{ - if(prec == 0) - s_mp_defprec = MP_DEFPREC; - else - s_mp_defprec = prec; - -} /* end mp_set_prec() */ - -/* }}} */ - -/*------------------------------------------------------------------------*/ -/* {{{ mp_init(mp) */ - -/* - mp_init(mp) - - Initialize a new zero-valued mp_int. Returns MP_OKAY if successful, - MP_MEM if memory could not be allocated for the structure. - */ - -mp_err mp_init(mp_int *mp) -{ - return mp_init_size(mp, s_mp_defprec); - -} /* end mp_init() */ - -/* }}} */ - -/* {{{ mp_init_array(mp[], count) */ - -mp_err mp_init_array(mp_int mp[], int count) -{ - mp_err res; - int pos; - - ARGCHK(mp !=NULL && count > 0, MP_BADARG); - - for(pos = 0; pos < count; ++pos) { - if((res = mp_init(&mp[pos])) != MP_OKAY) - goto CLEANUP; - } - - return MP_OKAY; - - CLEANUP: - while(--pos >= 0) - mp_clear(&mp[pos]); - - return res; - -} /* end mp_init_array() */ - -/* }}} */ - -/* {{{ mp_init_size(mp, prec) */ - -/* - mp_init_size(mp, prec) - - Initialize a new zero-valued mp_int with at least the given - precision; returns MP_OKAY if successful, or MP_MEM if memory could - not be allocated for the structure. - */ - -mp_err mp_init_size(mp_int *mp, mp_size prec) -{ - ARGCHK(mp != NULL && prec > 0, MP_BADARG); - - if((DIGITS(mp) = s_mp_alloc(prec, sizeof(mp_digit))) == NULL) - return MP_MEM; - - SIGN(mp) = MP_ZPOS; - USED(mp) = 1; - ALLOC(mp) = prec; - - return MP_OKAY; - -} /* end mp_init_size() */ - -/* }}} */ - -/* {{{ mp_init_copy(mp, from) */ - -/* - mp_init_copy(mp, from) - - Initialize mp as an exact copy of from. Returns MP_OKAY if - successful, MP_MEM if memory could not be allocated for the new - structure. - */ - -mp_err mp_init_copy(mp_int *mp, mp_int *from) -{ - ARGCHK(mp != NULL && from != NULL, MP_BADARG); - - if(mp == from) - return MP_OKAY; - - if((DIGITS(mp) = s_mp_alloc(USED(from), sizeof(mp_digit))) == NULL) - return MP_MEM; - - s_mp_copy(DIGITS(from), DIGITS(mp), USED(from)); - USED(mp) = USED(from); - ALLOC(mp) = USED(from); - SIGN(mp) = SIGN(from); - - return MP_OKAY; - -} /* end mp_init_copy() */ - -/* }}} */ - -/* {{{ mp_copy(from, to) */ - -/* - mp_copy(from, to) - - Copies the mp_int 'from' to the mp_int 'to'. It is presumed that - 'to' has already been initialized (if not, use mp_init_copy() - instead). If 'from' and 'to' are identical, nothing happens. - */ - -mp_err mp_copy(mp_int *from, mp_int *to) -{ - ARGCHK(from != NULL && to != NULL, MP_BADARG); - - if(from == to) - return MP_OKAY; - - { /* copy */ - mp_digit *tmp; - - /* - If the allocated buffer in 'to' already has enough space to hold - all the used digits of 'from', we'll re-use it to avoid hitting - the memory allocater more than necessary; otherwise, we'd have - to grow anyway, so we just allocate a hunk and make the copy as - usual - */ - if(ALLOC(to) >= USED(from)) { - s_mp_setz(DIGITS(to) + USED(from), ALLOC(to) - USED(from)); - s_mp_copy(DIGITS(from), DIGITS(to), USED(from)); - - } else { - if((tmp = s_mp_alloc(USED(from), sizeof(mp_digit))) == NULL) - return MP_MEM; - - s_mp_copy(DIGITS(from), tmp, USED(from)); - - if(DIGITS(to) != NULL) { -#if MP_CRYPTO - s_mp_setz(DIGITS(to), ALLOC(to)); -#endif - s_mp_free(DIGITS(to)); - } - - DIGITS(to) = tmp; - ALLOC(to) = USED(from); - } - - /* Copy the precision and sign from the original */ - USED(to) = USED(from); - SIGN(to) = SIGN(from); - } /* end copy */ - - return MP_OKAY; - -} /* end mp_copy() */ - -/* }}} */ - -/* {{{ mp_exch(mp1, mp2) */ - -/* - mp_exch(mp1, mp2) - - Exchange mp1 and mp2 without allocating any intermediate memory - (well, unless you count the stack space needed for this call and the - locals it creates...). This cannot fail. - */ - -void mp_exch(mp_int *mp1, mp_int *mp2) -{ -#if MP_ARGCHK == 2 - assert(mp1 != NULL && mp2 != NULL); -#else - if(mp1 == NULL || mp2 == NULL) - return; -#endif - - s_mp_exch(mp1, mp2); - -} /* end mp_exch() */ - -/* }}} */ - -/* {{{ mp_clear(mp) */ - -/* - mp_clear(mp) - - Release the storage used by an mp_int, and void its fields so that - if someone calls mp_clear() again for the same int later, we won't - get tollchocked. - */ - -void mp_clear(mp_int *mp) -{ - if(mp == NULL) - return; - - if(DIGITS(mp) != NULL) { -#if MP_CRYPTO - s_mp_setz(DIGITS(mp), ALLOC(mp)); -#endif - s_mp_free(DIGITS(mp)); - DIGITS(mp) = NULL; - } - - USED(mp) = 0; - ALLOC(mp) = 0; - -} /* end mp_clear() */ - -/* }}} */ - -/* {{{ mp_clear_array(mp[], count) */ - -void mp_clear_array(mp_int mp[], int count) -{ - ARGCHK(mp != NULL && count > 0, MP_BADARG); - - while(--count >= 0) - mp_clear(&mp[count]); - -} /* end mp_clear_array() */ - -/* }}} */ - -/* {{{ mp_zero(mp) */ - -/* - mp_zero(mp) - - Set mp to zero. Does not change the allocated size of the structure, - and therefore cannot fail (except on a bad argument, which we ignore) - */ -void mp_zero(mp_int *mp) -{ - if(mp == NULL) - return; - - s_mp_setz(DIGITS(mp), ALLOC(mp)); - USED(mp) = 1; - SIGN(mp) = MP_ZPOS; - -} /* end mp_zero() */ - -/* }}} */ - -/* {{{ mp_set(mp, d) */ - -void mp_set(mp_int *mp, mp_digit d) -{ - if(mp == NULL) - return; - - mp_zero(mp); - DIGIT(mp, 0) = d; - -} /* end mp_set() */ - -/* }}} */ - -/* {{{ mp_set_int(mp, z) */ - -mp_err mp_set_int(mp_int *mp, long z) -{ - int ix; - unsigned long v = abs(z); - mp_err res; - - ARGCHK(mp != NULL, MP_BADARG); - - mp_zero(mp); - if(z == 0) - return MP_OKAY; /* shortcut for zero */ - - for(ix = sizeof(long) - 1; ix >= 0; ix--) { - - if((res = s_mp_mul_2d(mp, CHAR_BIT)) != MP_OKAY) - return res; - - res = s_mp_add_d(mp, - (mp_digit)((v >> (ix * CHAR_BIT)) & UCHAR_MAX)); - if(res != MP_OKAY) - return res; - - } - - if(z < 0) - SIGN(mp) = MP_NEG; - - return MP_OKAY; - -} /* end mp_set_int() */ - -/* }}} */ - -/*------------------------------------------------------------------------*/ -/* {{{ Digit arithmetic */ - -/* {{{ mp_add_d(a, d, b) */ - -/* - mp_add_d(a, d, b) - - Compute the sum b = a + d, for a single digit d. Respects the sign of - its primary addend (single digits are unsigned anyway). - */ - -mp_err mp_add_d(mp_int *a, mp_digit d, mp_int *b) -{ - mp_err res = MP_OKAY; - - ARGCHK(a != NULL && b != NULL, MP_BADARG); - - if((res = mp_copy(a, b)) != MP_OKAY) - return res; - - if(SIGN(b) == MP_ZPOS) { - res = s_mp_add_d(b, d); - } else if(s_mp_cmp_d(b, d) >= 0) { - res = s_mp_sub_d(b, d); - } else { - SIGN(b) = MP_ZPOS; - - DIGIT(b, 0) = d - DIGIT(b, 0); - } - - return res; - -} /* end mp_add_d() */ - -/* }}} */ - -/* {{{ mp_sub_d(a, d, b) */ - -/* - mp_sub_d(a, d, b) - - Compute the difference b = a - d, for a single digit d. Respects the - sign of its subtrahend (single digits are unsigned anyway). - */ - -mp_err mp_sub_d(mp_int *a, mp_digit d, mp_int *b) -{ - mp_err res; - - ARGCHK(a != NULL && b != NULL, MP_BADARG); - - if((res = mp_copy(a, b)) != MP_OKAY) - return res; - - if(SIGN(b) == MP_NEG) { - if((res = s_mp_add_d(b, d)) != MP_OKAY) - return res; - - } else if(s_mp_cmp_d(b, d) >= 0) { - if((res = s_mp_sub_d(b, d)) != MP_OKAY) - return res; - - } else { - mp_neg(b, b); - - DIGIT(b, 0) = d - DIGIT(b, 0); - SIGN(b) = MP_NEG; - } - - if(s_mp_cmp_d(b, 0) == 0) - SIGN(b) = MP_ZPOS; - - return MP_OKAY; - -} /* end mp_sub_d() */ - -/* }}} */ - -/* {{{ mp_mul_d(a, d, b) */ - -/* - mp_mul_d(a, d, b) - - Compute the product b = a * d, for a single digit d. Respects the sign - of its multiplicand (single digits are unsigned anyway) - */ - -mp_err mp_mul_d(mp_int *a, mp_digit d, mp_int *b) -{ - mp_err res; - - ARGCHK(a != NULL && b != NULL, MP_BADARG); - - if(d == 0) { - mp_zero(b); - return MP_OKAY; - } - - if((res = mp_copy(a, b)) != MP_OKAY) - return res; - - res = s_mp_mul_d(b, d); - - return res; - -} /* end mp_mul_d() */ - -/* }}} */ - -/* {{{ mp_mul_2(a, c) */ - -mp_err mp_mul_2(mp_int *a, mp_int *c) -{ - mp_err res; - - ARGCHK(a != NULL && c != NULL, MP_BADARG); - - if((res = mp_copy(a, c)) != MP_OKAY) - return res; - - return s_mp_mul_2(c); - -} /* end mp_mul_2() */ - -/* }}} */ - -/* {{{ mp_div_d(a, d, q, r) */ - -/* - mp_div_d(a, d, q, r) - - Compute the quotient q = a / d and remainder r = a mod d, for a - single digit d. Respects the sign of its divisor (single digits are - unsigned anyway). - */ - -mp_err mp_div_d(mp_int *a, mp_digit d, mp_int *q, mp_digit *r) -{ - mp_err res; - mp_digit rem; - int pow; - - ARGCHK(a != NULL, MP_BADARG); - - if(d == 0) - return MP_RANGE; - - /* Shortcut for powers of two ... */ - if((pow = s_mp_ispow2d(d)) >= 0) { - mp_digit mask; - - mask = (1 << pow) - 1; - rem = DIGIT(a, 0) & mask; - - if(q) { - mp_copy(a, q); - s_mp_div_2d(q, pow); - } - - if(r) - *r = rem; - - return MP_OKAY; - } - - /* - If the quotient is actually going to be returned, we'll try to - avoid hitting the memory allocator by copying the dividend into it - and doing the division there. This can't be any _worse_ than - always copying, and will sometimes be better (since it won't make - another copy) - - If it's not going to be returned, we need to allocate a temporary - to hold the quotient, which will just be discarded. - */ - if(q) { - if((res = mp_copy(a, q)) != MP_OKAY) - return res; - - res = s_mp_div_d(q, d, &rem); - if(s_mp_cmp_d(q, 0) == MP_EQ) - SIGN(q) = MP_ZPOS; - - } else { - mp_int qp; - - if((res = mp_init_copy(&qp, a)) != MP_OKAY) - return res; - - res = s_mp_div_d(&qp, d, &rem); - if(s_mp_cmp_d(&qp, 0) == 0) - SIGN(&qp) = MP_ZPOS; - - mp_clear(&qp); - } - - if(r) - *r = rem; - - return res; - -} /* end mp_div_d() */ - -/* }}} */ - -/* {{{ mp_div_2(a, c) */ - -/* - mp_div_2(a, c) - - Compute c = a / 2, disregarding the remainder. - */ - -mp_err mp_div_2(mp_int *a, mp_int *c) -{ - mp_err res; - - ARGCHK(a != NULL && c != NULL, MP_BADARG); - - if((res = mp_copy(a, c)) != MP_OKAY) - return res; - - s_mp_div_2(c); - - return MP_OKAY; - -} /* end mp_div_2() */ - -/* }}} */ - -/* {{{ mp_expt_d(a, d, b) */ - -mp_err mp_expt_d(mp_int *a, mp_digit d, mp_int *c) -{ - mp_int s, x; - mp_err res; - - ARGCHK(a != NULL && c != NULL, MP_BADARG); - - if((res = mp_init(&s)) != MP_OKAY) - return res; - if((res = mp_init_copy(&x, a)) != MP_OKAY) - goto X; - - DIGIT(&s, 0) = 1; - - while(d != 0) { - if(d & 1) { - if((res = s_mp_mul(&s, &x)) != MP_OKAY) - goto CLEANUP; - } - - d >>= 1; - - if((res = s_mp_sqr(&x)) != MP_OKAY) - goto CLEANUP; - } - - s_mp_exch(&s, c); - -CLEANUP: - mp_clear(&x); -X: - mp_clear(&s); - - return res; - -} /* end mp_expt_d() */ - -/* }}} */ - -/* }}} */ - -/*------------------------------------------------------------------------*/ -/* {{{ Full arithmetic */ - -/* {{{ mp_abs(a, b) */ - -/* - mp_abs(a, b) - - Compute b = |a|. 'a' and 'b' may be identical. - */ - -mp_err mp_abs(mp_int *a, mp_int *b) -{ - mp_err res; - - ARGCHK(a != NULL && b != NULL, MP_BADARG); - - if((res = mp_copy(a, b)) != MP_OKAY) - return res; - - SIGN(b) = MP_ZPOS; - - return MP_OKAY; - -} /* end mp_abs() */ - -/* }}} */ - -/* {{{ mp_neg(a, b) */ - -/* - mp_neg(a, b) - - Compute b = -a. 'a' and 'b' may be identical. - */ - -mp_err mp_neg(mp_int *a, mp_int *b) -{ - mp_err res; - - ARGCHK(a != NULL && b != NULL, MP_BADARG); - - if((res = mp_copy(a, b)) != MP_OKAY) - return res; - - if(s_mp_cmp_d(b, 0) == MP_EQ) - SIGN(b) = MP_ZPOS; - else - SIGN(b) = (SIGN(b) == MP_NEG) ? MP_ZPOS : MP_NEG; - - return MP_OKAY; - -} /* end mp_neg() */ - -/* }}} */ - -/* {{{ mp_add(a, b, c) */ - -/* - mp_add(a, b, c) - - Compute c = a + b. All parameters may be identical. - */ - -mp_err mp_add(mp_int *a, mp_int *b, mp_int *c) -{ - mp_err res; - int cmp; - - ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG); - - if(SIGN(a) == SIGN(b)) { /* same sign: add values, keep sign */ - - /* Commutativity of addition lets us do this in either order, - so we avoid having to use a temporary even if the result - is supposed to replace the output - */ - if(c == b) { - if((res = s_mp_add(c, a)) != MP_OKAY) - return res; - } else { - if(c != a && (res = mp_copy(a, c)) != MP_OKAY) - return res; - - if((res = s_mp_add(c, b)) != MP_OKAY) - return res; - } - - } else if((cmp = s_mp_cmp(a, b)) > 0) { /* different sign: a > b */ - - /* If the output is going to be clobbered, we will use a temporary - variable; otherwise, we'll do it without touching the memory - allocator at all, if possible - */ - if(c == b) { - mp_int tmp; - - if((res = mp_init_copy(&tmp, a)) != MP_OKAY) - return res; - if((res = s_mp_sub(&tmp, b)) != MP_OKAY) { - mp_clear(&tmp); - return res; - } - - s_mp_exch(&tmp, c); - mp_clear(&tmp); - - } else { - - if(c != a && (res = mp_copy(a, c)) != MP_OKAY) - return res; - if((res = s_mp_sub(c, b)) != MP_OKAY) - return res; - - } - - } else if(cmp == 0) { /* different sign, a == b */ - - mp_zero(c); - return MP_OKAY; - - } else { /* different sign: a < b */ - - /* See above... */ - if(c == a) { - mp_int tmp; - - if((res = mp_init_copy(&tmp, b)) != MP_OKAY) - return res; - if((res = s_mp_sub(&tmp, a)) != MP_OKAY) { - mp_clear(&tmp); - return res; - } - - s_mp_exch(&tmp, c); - mp_clear(&tmp); - - } else { - - if(c != b && (res = mp_copy(b, c)) != MP_OKAY) - return res; - if((res = s_mp_sub(c, a)) != MP_OKAY) - return res; - - } - } - - if(USED(c) == 1 && DIGIT(c, 0) == 0) - SIGN(c) = MP_ZPOS; - - return MP_OKAY; - -} /* end mp_add() */ - -/* }}} */ - -/* {{{ mp_sub(a, b, c) */ - -/* - mp_sub(a, b, c) - - Compute c = a - b. All parameters may be identical. - */ - -mp_err mp_sub(mp_int *a, mp_int *b, mp_int *c) -{ - mp_err res; - int cmp; - - ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG); - - if(SIGN(a) != SIGN(b)) { - if(c == a) { - if((res = s_mp_add(c, b)) != MP_OKAY) - return res; - } else { - if(c != b && ((res = mp_copy(b, c)) != MP_OKAY)) - return res; - if((res = s_mp_add(c, a)) != MP_OKAY) - return res; - SIGN(c) = SIGN(a); - } - - } else if((cmp = s_mp_cmp(a, b)) > 0) { /* Same sign, a > b */ - if(c == b) { - mp_int tmp; - - if((res = mp_init_copy(&tmp, a)) != MP_OKAY) - return res; - if((res = s_mp_sub(&tmp, b)) != MP_OKAY) { - mp_clear(&tmp); - return res; - } - s_mp_exch(&tmp, c); - mp_clear(&tmp); - - } else { - if(c != a && ((res = mp_copy(a, c)) != MP_OKAY)) - return res; - - if((res = s_mp_sub(c, b)) != MP_OKAY) - return res; - } - - } else if(cmp == 0) { /* Same sign, equal magnitude */ - mp_zero(c); - return MP_OKAY; - - } else { /* Same sign, b > a */ - if(c == a) { - mp_int tmp; - - if((res = mp_init_copy(&tmp, b)) != MP_OKAY) - return res; - - if((res = s_mp_sub(&tmp, a)) != MP_OKAY) { - mp_clear(&tmp); - return res; - } - s_mp_exch(&tmp, c); - mp_clear(&tmp); - - } else { - if(c != b && ((res = mp_copy(b, c)) != MP_OKAY)) - return res; - - if((res = s_mp_sub(c, a)) != MP_OKAY) - return res; - } - - SIGN(c) = !SIGN(b); - } - - if(USED(c) == 1 && DIGIT(c, 0) == 0) - SIGN(c) = MP_ZPOS; - - return MP_OKAY; - -} /* end mp_sub() */ - -/* }}} */ - -/* {{{ mp_mul(a, b, c) */ - -/* - mp_mul(a, b, c) - - Compute c = a * b. All parameters may be identical. - */ - -mp_err mp_mul(mp_int *a, mp_int *b, mp_int *c) -{ - mp_err res; - mp_sign sgn; - - ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG); - - sgn = (SIGN(a) == SIGN(b)) ? MP_ZPOS : MP_NEG; - - if(c == b) { - if((res = s_mp_mul(c, a)) != MP_OKAY) - return res; - - } else { - if((res = mp_copy(a, c)) != MP_OKAY) - return res; - - if((res = s_mp_mul(c, b)) != MP_OKAY) - return res; - } - - if(sgn == MP_ZPOS || s_mp_cmp_d(c, 0) == MP_EQ) - SIGN(c) = MP_ZPOS; - else - SIGN(c) = sgn; - - return MP_OKAY; - -} /* end mp_mul() */ - -/* }}} */ - -/* {{{ mp_mul_2d(a, d, c) */ - -/* - mp_mul_2d(a, d, c) - - Compute c = a * 2^d. a may be the same as c. - */ - -mp_err mp_mul_2d(mp_int *a, mp_digit d, mp_int *c) -{ - mp_err res; - - ARGCHK(a != NULL && c != NULL, MP_BADARG); - - if((res = mp_copy(a, c)) != MP_OKAY) - return res; - - if(d == 0) - return MP_OKAY; - - return s_mp_mul_2d(c, d); - -} /* end mp_mul() */ - -/* }}} */ - -/* {{{ mp_sqr(a, b) */ - -#if MP_SQUARE -mp_err mp_sqr(mp_int *a, mp_int *b) -{ - mp_err res; - - ARGCHK(a != NULL && b != NULL, MP_BADARG); - - if((res = mp_copy(a, b)) != MP_OKAY) - return res; - - if((res = s_mp_sqr(b)) != MP_OKAY) - return res; - - SIGN(b) = MP_ZPOS; - - return MP_OKAY; - -} /* end mp_sqr() */ -#endif - -/* }}} */ - -/* {{{ mp_div(a, b, q, r) */ - -/* - mp_div(a, b, q, r) - - Compute q = a / b and r = a mod b. Input parameters may be re-used - as output parameters. If q or r is NULL, that portion of the - computation will be discarded (although it will still be computed) - - Pay no attention to the hacker behind the curtain. - */ - -mp_err mp_div(mp_int *a, mp_int *b, mp_int *q, mp_int *r) -{ - mp_err res; - mp_int qtmp, rtmp; - int cmp; - - ARGCHK(a != NULL && b != NULL, MP_BADARG); - - if(mp_cmp_z(b) == MP_EQ) - return MP_RANGE; - - /* If a <= b, we can compute the solution without division, and - avoid any memory allocation - */ - if((cmp = s_mp_cmp(a, b)) < 0) { - if(r) { - if((res = mp_copy(a, r)) != MP_OKAY) - return res; - } - - if(q) - mp_zero(q); - - return MP_OKAY; - - } else if(cmp == 0) { - - /* Set quotient to 1, with appropriate sign */ - if(q) { - int qneg = (SIGN(a) != SIGN(b)); - - mp_set(q, 1); - if(qneg) - SIGN(q) = MP_NEG; - } - - if(r) - mp_zero(r); - - return MP_OKAY; - } - - /* If we get here, it means we actually have to do some division */ - - /* Set up some temporaries... */ - if((res = mp_init_copy(&qtmp, a)) != MP_OKAY) - return res; - if((res = mp_init_copy(&rtmp, b)) != MP_OKAY) - goto CLEANUP; - - if((res = s_mp_div(&qtmp, &rtmp)) != MP_OKAY) - goto CLEANUP; - - /* Compute the signs for the output */ - SIGN(&rtmp) = SIGN(a); /* Sr = Sa */ - if(SIGN(a) == SIGN(b)) - SIGN(&qtmp) = MP_ZPOS; /* Sq = MP_ZPOS if Sa = Sb */ - else - SIGN(&qtmp) = MP_NEG; /* Sq = MP_NEG if Sa != Sb */ - - if(s_mp_cmp_d(&qtmp, 0) == MP_EQ) - SIGN(&qtmp) = MP_ZPOS; - if(s_mp_cmp_d(&rtmp, 0) == MP_EQ) - SIGN(&rtmp) = MP_ZPOS; - - /* Copy output, if it is needed */ - if(q) - s_mp_exch(&qtmp, q); - - if(r) - s_mp_exch(&rtmp, r); - -CLEANUP: - mp_clear(&rtmp); - mp_clear(&qtmp); - - return res; - -} /* end mp_div() */ - -/* }}} */ - -/* {{{ mp_div_2d(a, d, q, r) */ - -mp_err mp_div_2d(mp_int *a, mp_digit d, mp_int *q, mp_int *r) -{ - mp_err res; - - ARGCHK(a != NULL, MP_BADARG); - - if(q) { - if((res = mp_copy(a, q)) != MP_OKAY) - return res; - - s_mp_div_2d(q, d); - } - - if(r) { - if((res = mp_copy(a, r)) != MP_OKAY) - return res; - - s_mp_mod_2d(r, d); - } - - return MP_OKAY; - -} /* end mp_div_2d() */ - -/* }}} */ - -/* {{{ mp_expt(a, b, c) */ - -/* - mp_expt(a, b, c) - - Compute c = a ** b, that is, raise a to the b power. Uses a - standard iterative square-and-multiply technique. - */ - -mp_err mp_expt(mp_int *a, mp_int *b, mp_int *c) -{ - mp_int s, x; - mp_err res; - mp_digit d; - int dig, bit; - - ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG); - - if(mp_cmp_z(b) < 0) - return MP_RANGE; - - if((res = mp_init(&s)) != MP_OKAY) - return res; - - mp_set(&s, 1); - - if((res = mp_init_copy(&x, a)) != MP_OKAY) - goto X; - - /* Loop over low-order digits in ascending order */ - for(dig = 0; dig < (USED(b) - 1); dig++) { - d = DIGIT(b, dig); - - /* Loop over bits of each non-maximal digit */ - for(bit = 0; bit < DIGIT_BIT; bit++) { - if(d & 1) { - if((res = s_mp_mul(&s, &x)) != MP_OKAY) - goto CLEANUP; - } - - d >>= 1; - - if((res = s_mp_sqr(&x)) != MP_OKAY) - goto CLEANUP; - } - } - - /* Consider now the last digit... */ - d = DIGIT(b, dig); - - while(d) { - if(d & 1) { - if((res = s_mp_mul(&s, &x)) != MP_OKAY) - goto CLEANUP; - } - - d >>= 1; - - if((res = s_mp_sqr(&x)) != MP_OKAY) - goto CLEANUP; - } - - if(mp_iseven(b)) - SIGN(&s) = SIGN(a); - - res = mp_copy(&s, c); - -CLEANUP: - mp_clear(&x); -X: - mp_clear(&s); - - return res; - -} /* end mp_expt() */ - -/* }}} */ - -/* {{{ mp_2expt(a, k) */ - -/* Compute a = 2^k */ - -mp_err mp_2expt(mp_int *a, mp_digit k) -{ - ARGCHK(a != NULL, MP_BADARG); - - return s_mp_2expt(a, k); - -} /* end mp_2expt() */ - -/* }}} */ - -/* {{{ mp_mod(a, m, c) */ - -/* - mp_mod(a, m, c) - - Compute c = a (mod m). Result will always be 0 <= c < m. - */ - -mp_err mp_mod(mp_int *a, mp_int *m, mp_int *c) -{ - mp_err res; - int mag; - - ARGCHK(a != NULL && m != NULL && c != NULL, MP_BADARG); - - if(SIGN(m) == MP_NEG) - return MP_RANGE; - - /* - If |a| > m, we need to divide to get the remainder and take the - absolute value. - - If |a| < m, we don't need to do any division, just copy and adjust - the sign (if a is negative). - - If |a| == m, we can simply set the result to zero. - - This order is intended to minimize the average path length of the - comparison chain on common workloads -- the most frequent cases are - that |a| != m, so we do those first. - */ - if((mag = s_mp_cmp(a, m)) > 0) { - if((res = mp_div(a, m, NULL, c)) != MP_OKAY) - return res; - - if(SIGN(c) == MP_NEG) { - if((res = mp_add(c, m, c)) != MP_OKAY) - return res; - } - - } else if(mag < 0) { - if((res = mp_copy(a, c)) != MP_OKAY) - return res; - - if(mp_cmp_z(a) < 0) { - if((res = mp_add(c, m, c)) != MP_OKAY) - return res; - - } - - } else { - mp_zero(c); - - } - - return MP_OKAY; - -} /* end mp_mod() */ - -/* }}} */ - -/* {{{ mp_mod_d(a, d, c) */ - -/* - mp_mod_d(a, d, c) - - Compute c = a (mod d). Result will always be 0 <= c < d - */ -mp_err mp_mod_d(mp_int *a, mp_digit d, mp_digit *c) -{ - mp_err res; - mp_digit rem; - - ARGCHK(a != NULL && c != NULL, MP_BADARG); - - if(s_mp_cmp_d(a, d) > 0) { - if((res = mp_div_d(a, d, NULL, &rem)) != MP_OKAY) - return res; - - } else { - if(SIGN(a) == MP_NEG) - rem = d - DIGIT(a, 0); - else - rem = DIGIT(a, 0); - } - - if(c) - *c = rem; - - return MP_OKAY; - -} /* end mp_mod_d() */ - -/* }}} */ - -/* {{{ mp_sqrt(a, b) */ - -/* - mp_sqrt(a, b) - - Compute the integer square root of a, and store the result in b. - Uses an integer-arithmetic version of Newton's iterative linear - approximation technique to determine this value; the result has the - following two properties: - - b^2 <= a - (b+1)^2 >= a - - It is a range error to pass a negative value. - */ -mp_err mp_sqrt(mp_int *a, mp_int *b) -{ - mp_int x, t; - mp_err res; - - ARGCHK(a != NULL && b != NULL, MP_BADARG); - - /* Cannot take square root of a negative value */ - if(SIGN(a) == MP_NEG) - return MP_RANGE; - - /* Special cases for zero and one, trivial */ - if(mp_cmp_d(a, 0) == MP_EQ || mp_cmp_d(a, 1) == MP_EQ) - return mp_copy(a, b); - - /* Initialize the temporaries we'll use below */ - if((res = mp_init_size(&t, USED(a))) != MP_OKAY) - return res; - - /* Compute an initial guess for the iteration as a itself */ - if((res = mp_init_copy(&x, a)) != MP_OKAY) - goto X; - -s_mp_rshd(&x, (USED(&x)/2)+1); -mp_add_d(&x, 1, &x); - - for(;;) { - /* t = (x * x) - a */ - mp_copy(&x, &t); /* can't fail, t is big enough for original x */ - if((res = mp_sqr(&t, &t)) != MP_OKAY || - (res = mp_sub(&t, a, &t)) != MP_OKAY) - goto CLEANUP; - - /* t = t / 2x */ - s_mp_mul_2(&x); - if((res = mp_div(&t, &x, &t, NULL)) != MP_OKAY) - goto CLEANUP; - s_mp_div_2(&x); - - /* Terminate the loop, if the quotient is zero */ - if(mp_cmp_z(&t) == MP_EQ) - break; - - /* x = x - t */ - if((res = mp_sub(&x, &t, &x)) != MP_OKAY) - goto CLEANUP; - - } - - /* Copy result to output parameter */ - mp_sub_d(&x, 1, &x); - s_mp_exch(&x, b); - - CLEANUP: - mp_clear(&x); - X: - mp_clear(&t); - - return res; - -} /* end mp_sqrt() */ - -/* }}} */ - -/* }}} */ - -/*------------------------------------------------------------------------*/ -/* {{{ Modular arithmetic */ - -#if MP_MODARITH -/* {{{ mp_addmod(a, b, m, c) */ - -/* - mp_addmod(a, b, m, c) - - Compute c = (a + b) mod m - */ - -mp_err mp_addmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c) -{ - mp_err res; - - ARGCHK(a != NULL && b != NULL && m != NULL && c != NULL, MP_BADARG); - - if((res = mp_add(a, b, c)) != MP_OKAY) - return res; - if((res = mp_mod(c, m, c)) != MP_OKAY) - return res; - - return MP_OKAY; - -} - -/* }}} */ - -/* {{{ mp_submod(a, b, m, c) */ - -/* - mp_submod(a, b, m, c) - - Compute c = (a - b) mod m - */ - -mp_err mp_submod(mp_int *a, mp_int *b, mp_int *m, mp_int *c) -{ - mp_err res; - - ARGCHK(a != NULL && b != NULL && m != NULL && c != NULL, MP_BADARG); - - if((res = mp_sub(a, b, c)) != MP_OKAY) - return res; - if((res = mp_mod(c, m, c)) != MP_OKAY) - return res; - - return MP_OKAY; - -} - -/* }}} */ - -/* {{{ mp_mulmod(a, b, m, c) */ - -/* - mp_mulmod(a, b, m, c) - - Compute c = (a * b) mod m - */ - -mp_err mp_mulmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c) -{ - mp_err res; - - ARGCHK(a != NULL && b != NULL && m != NULL && c != NULL, MP_BADARG); - - if((res = mp_mul(a, b, c)) != MP_OKAY) - return res; - if((res = mp_mod(c, m, c)) != MP_OKAY) - return res; - - return MP_OKAY; - -} - -/* }}} */ - -/* {{{ mp_sqrmod(a, m, c) */ - -#if MP_SQUARE -mp_err mp_sqrmod(mp_int *a, mp_int *m, mp_int *c) -{ - mp_err res; - - ARGCHK(a != NULL && m != NULL && c != NULL, MP_BADARG); - - if((res = mp_sqr(a, c)) != MP_OKAY) - return res; - if((res = mp_mod(c, m, c)) != MP_OKAY) - return res; - - return MP_OKAY; - -} /* end mp_sqrmod() */ -#endif - -/* }}} */ - -/* {{{ mp_exptmod(a, b, m, c) */ - -/* - mp_exptmod(a, b, m, c) - - Compute c = (a ** b) mod m. Uses a standard square-and-multiply - method with modular reductions at each step. (This is basically the - same code as mp_expt(), except for the addition of the reductions) - - The modular reductions are done using Barrett's algorithm (see - s_mp_reduce() below for details) - */ - -mp_err mp_exptmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c) -{ - mp_int s, x, mu; - mp_err res; - mp_digit d, *db = DIGITS(b); - mp_size ub = USED(b); - int dig, bit; - - ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG); - - if(mp_cmp_z(b) < 0 || mp_cmp_z(m) <= 0) - return MP_RANGE; - - if((res = mp_init(&s)) != MP_OKAY) - return res; - if((res = mp_init_copy(&x, a)) != MP_OKAY) - goto X; - if((res = mp_mod(&x, m, &x)) != MP_OKAY || - (res = mp_init(&mu)) != MP_OKAY) - goto MU; - - mp_set(&s, 1); - - /* mu = b^2k / m */ - s_mp_add_d(&mu, 1); - s_mp_lshd(&mu, 2 * USED(m)); - if((res = mp_div(&mu, m, &mu, NULL)) != MP_OKAY) - goto CLEANUP; - - /* Loop over digits of b in ascending order, except highest order */ - for(dig = 0; dig < (ub - 1); dig++) { - d = *db++; - - /* Loop over the bits of the lower-order digits */ - for(bit = 0; bit < DIGIT_BIT; bit++) { - if(d & 1) { - if((res = s_mp_mul(&s, &x)) != MP_OKAY) - goto CLEANUP; - if((res = s_mp_reduce(&s, m, &mu)) != MP_OKAY) - goto CLEANUP; - } - - d >>= 1; - - if((res = s_mp_sqr(&x)) != MP_OKAY) - goto CLEANUP; - if((res = s_mp_reduce(&x, m, &mu)) != MP_OKAY) - goto CLEANUP; - } - } - - /* Now do the last digit... */ - d = *db; - - while(d) { - if(d & 1) { - if((res = s_mp_mul(&s, &x)) != MP_OKAY) - goto CLEANUP; - if((res = s_mp_reduce(&s, m, &mu)) != MP_OKAY) - goto CLEANUP; - } - - d >>= 1; - - if((res = s_mp_sqr(&x)) != MP_OKAY) - goto CLEANUP; - if((res = s_mp_reduce(&x, m, &mu)) != MP_OKAY) - goto CLEANUP; - } - - s_mp_exch(&s, c); - - CLEANUP: - mp_clear(&mu); - MU: - mp_clear(&x); - X: - mp_clear(&s); - - return res; - -} /* end mp_exptmod() */ - -/* }}} */ - -/* {{{ mp_exptmod_d(a, d, m, c) */ - -mp_err mp_exptmod_d(mp_int *a, mp_digit d, mp_int *m, mp_int *c) -{ - mp_int s, x; - mp_err res; - - ARGCHK(a != NULL && c != NULL, MP_BADARG); - - if((res = mp_init(&s)) != MP_OKAY) - return res; - if((res = mp_init_copy(&x, a)) != MP_OKAY) - goto X; - - mp_set(&s, 1); - - while(d != 0) { - if(d & 1) { - if((res = s_mp_mul(&s, &x)) != MP_OKAY || - (res = mp_mod(&s, m, &s)) != MP_OKAY) - goto CLEANUP; - } - - d /= 2; - - if((res = s_mp_sqr(&x)) != MP_OKAY || - (res = mp_mod(&x, m, &x)) != MP_OKAY) - goto CLEANUP; - } - - s_mp_exch(&s, c); - -CLEANUP: - mp_clear(&x); -X: - mp_clear(&s); - - return res; - -} /* end mp_exptmod_d() */ - -/* }}} */ -#endif /* if MP_MODARITH */ - -/* }}} */ - -/*------------------------------------------------------------------------*/ -/* {{{ Comparison functions */ - -/* {{{ mp_cmp_z(a) */ - -/* - mp_cmp_z(a) - - Compare a <=> 0. Returns <0 if a<0, 0 if a=0, >0 if a>0. - */ - -int mp_cmp_z(mp_int *a) -{ - if(SIGN(a) == MP_NEG) - return MP_LT; - else if(USED(a) == 1 && DIGIT(a, 0) == 0) - return MP_EQ; - else - return MP_GT; - -} /* end mp_cmp_z() */ - -/* }}} */ - -/* {{{ mp_cmp_d(a, d) */ - -/* - mp_cmp_d(a, d) - - Compare a <=> d. Returns <0 if a0 if a>d - */ - -int mp_cmp_d(mp_int *a, mp_digit d) -{ - ARGCHK(a != NULL, MP_EQ); - - if(SIGN(a) == MP_NEG) - return MP_LT; - - return s_mp_cmp_d(a, d); - -} /* end mp_cmp_d() */ - -/* }}} */ - -/* {{{ mp_cmp(a, b) */ - -int mp_cmp(mp_int *a, mp_int *b) -{ - ARGCHK(a != NULL && b != NULL, MP_EQ); - - if(SIGN(a) == SIGN(b)) { - int mag; - - if((mag = s_mp_cmp(a, b)) == MP_EQ) - return MP_EQ; - - if(SIGN(a) == MP_ZPOS) - return mag; - else - return -mag; - - } else if(SIGN(a) == MP_ZPOS) { - return MP_GT; - } else { - return MP_LT; - } - -} /* end mp_cmp() */ - -/* }}} */ - -/* {{{ mp_cmp_mag(a, b) */ - -/* - mp_cmp_mag(a, b) - - Compares |a| <=> |b|, and returns an appropriate comparison result - */ - -int mp_cmp_mag(mp_int *a, mp_int *b) -{ - ARGCHK(a != NULL && b != NULL, MP_EQ); - - return s_mp_cmp(a, b); - -} /* end mp_cmp_mag() */ - -/* }}} */ - -/* {{{ mp_cmp_int(a, z) */ - -/* - This just converts z to an mp_int, and uses the existing comparison - routines. This is sort of inefficient, but it's not clear to me how - frequently this wil get used anyway. For small positive constants, - you can always use mp_cmp_d(), and for zero, there is mp_cmp_z(). - */ -int mp_cmp_int(mp_int *a, long z) -{ - mp_int tmp; - int out; - - ARGCHK(a != NULL, MP_EQ); - - mp_init(&tmp); mp_set_int(&tmp, z); - out = mp_cmp(a, &tmp); - mp_clear(&tmp); - - return out; - -} /* end mp_cmp_int() */ - -/* }}} */ - -/* {{{ mp_isodd(a) */ - -/* - mp_isodd(a) - - Returns a true (non-zero) value if a is odd, false (zero) otherwise. - */ -int mp_isodd(mp_int *a) -{ - ARGCHK(a != NULL, 0); - - return (DIGIT(a, 0) & 1); - -} /* end mp_isodd() */ - -/* }}} */ - -/* {{{ mp_iseven(a) */ - -int mp_iseven(mp_int *a) -{ - return !mp_isodd(a); - -} /* end mp_iseven() */ - -/* }}} */ - -/* }}} */ - -/*------------------------------------------------------------------------*/ -/* {{{ Number theoretic functions */ - -#if MP_NUMTH -/* {{{ mp_gcd(a, b, c) */ - -/* - Like the old mp_gcd() function, except computes the GCD using the - binary algorithm due to Josef Stein in 1961 (via Knuth). - */ -mp_err mp_gcd(mp_int *a, mp_int *b, mp_int *c) -{ - mp_err res; - mp_int u, v, t; - mp_size k = 0; - - ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG); - - if(mp_cmp_z(a) == MP_EQ && mp_cmp_z(b) == MP_EQ) - return MP_RANGE; - if(mp_cmp_z(a) == MP_EQ) { - return mp_copy(b, c); - } else if(mp_cmp_z(b) == MP_EQ) { - return mp_copy(a, c); - } - - if((res = mp_init(&t)) != MP_OKAY) - return res; - if((res = mp_init_copy(&u, a)) != MP_OKAY) - goto U; - if((res = mp_init_copy(&v, b)) != MP_OKAY) - goto V; - - SIGN(&u) = MP_ZPOS; - SIGN(&v) = MP_ZPOS; - - /* Divide out common factors of 2 until at least 1 of a, b is even */ - while(mp_iseven(&u) && mp_iseven(&v)) { - s_mp_div_2(&u); - s_mp_div_2(&v); - ++k; - } - - /* Initialize t */ - if(mp_isodd(&u)) { - if((res = mp_copy(&v, &t)) != MP_OKAY) - goto CLEANUP; - - /* t = -v */ - if(SIGN(&v) == MP_ZPOS) - SIGN(&t) = MP_NEG; - else - SIGN(&t) = MP_ZPOS; - - } else { - if((res = mp_copy(&u, &t)) != MP_OKAY) - goto CLEANUP; - - } - - for(;;) { - while(mp_iseven(&t)) { - s_mp_div_2(&t); - } - - if(mp_cmp_z(&t) == MP_GT) { - if((res = mp_copy(&t, &u)) != MP_OKAY) - goto CLEANUP; - - } else { - if((res = mp_copy(&t, &v)) != MP_OKAY) - goto CLEANUP; - - /* v = -t */ - if(SIGN(&t) == MP_ZPOS) - SIGN(&v) = MP_NEG; - else - SIGN(&v) = MP_ZPOS; - } - - if((res = mp_sub(&u, &v, &t)) != MP_OKAY) - goto CLEANUP; - - if(s_mp_cmp_d(&t, 0) == MP_EQ) - break; - } - - s_mp_2expt(&v, k); /* v = 2^k */ - res = mp_mul(&u, &v, c); /* c = u * v */ - - CLEANUP: - mp_clear(&v); - V: - mp_clear(&u); - U: - mp_clear(&t); - - return res; - -} /* end mp_bgcd() */ - -/* }}} */ - -/* {{{ mp_lcm(a, b, c) */ - -/* We compute the least common multiple using the rule: - - ab = [a, b](a, b) - - ... by computing the product, and dividing out the gcd. - */ - -mp_err mp_lcm(mp_int *a, mp_int *b, mp_int *c) -{ - mp_int gcd, prod; - mp_err res; - - ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG); - - /* Set up temporaries */ - if((res = mp_init(&gcd)) != MP_OKAY) - return res; - if((res = mp_init(&prod)) != MP_OKAY) - goto GCD; - - if((res = mp_mul(a, b, &prod)) != MP_OKAY) - goto CLEANUP; - if((res = mp_gcd(a, b, &gcd)) != MP_OKAY) - goto CLEANUP; - - res = mp_div(&prod, &gcd, c, NULL); - - CLEANUP: - mp_clear(&prod); - GCD: - mp_clear(&gcd); - - return res; - -} /* end mp_lcm() */ - -/* }}} */ - -/* {{{ mp_xgcd(a, b, g, x, y) */ - -/* - mp_xgcd(a, b, g, x, y) - - Compute g = (a, b) and values x and y satisfying Bezout's identity - (that is, ax + by = g). This uses the extended binary GCD algorithm - based on the Stein algorithm used for mp_gcd() - */ - -mp_err mp_xgcd(mp_int *a, mp_int *b, mp_int *g, mp_int *x, mp_int *y) -{ - mp_int gx, xc, yc, u, v, A, B, C, D; - mp_int *clean[9]; - mp_err res; - int last = -1; - - if(mp_cmp_z(b) == 0) - return MP_RANGE; - - /* Initialize all these variables we need */ - if((res = mp_init(&u)) != MP_OKAY) goto CLEANUP; - clean[++last] = &u; - if((res = mp_init(&v)) != MP_OKAY) goto CLEANUP; - clean[++last] = &v; - if((res = mp_init(&gx)) != MP_OKAY) goto CLEANUP; - clean[++last] = &gx; - if((res = mp_init(&A)) != MP_OKAY) goto CLEANUP; - clean[++last] = &A; - if((res = mp_init(&B)) != MP_OKAY) goto CLEANUP; - clean[++last] = &B; - if((res = mp_init(&C)) != MP_OKAY) goto CLEANUP; - clean[++last] = &C; - if((res = mp_init(&D)) != MP_OKAY) goto CLEANUP; - clean[++last] = &D; - if((res = mp_init_copy(&xc, a)) != MP_OKAY) goto CLEANUP; - clean[++last] = &xc; - mp_abs(&xc, &xc); - if((res = mp_init_copy(&yc, b)) != MP_OKAY) goto CLEANUP; - clean[++last] = &yc; - mp_abs(&yc, &yc); - - mp_set(&gx, 1); - - /* Divide by two until at least one of them is even */ - while(mp_iseven(&xc) && mp_iseven(&yc)) { - s_mp_div_2(&xc); - s_mp_div_2(&yc); - if((res = s_mp_mul_2(&gx)) != MP_OKAY) - goto CLEANUP; - } - - mp_copy(&xc, &u); - mp_copy(&yc, &v); - mp_set(&A, 1); mp_set(&D, 1); - - /* Loop through binary GCD algorithm */ - for(;;) { - while(mp_iseven(&u)) { - s_mp_div_2(&u); - - if(mp_iseven(&A) && mp_iseven(&B)) { - s_mp_div_2(&A); s_mp_div_2(&B); - } else { - if((res = mp_add(&A, &yc, &A)) != MP_OKAY) goto CLEANUP; - s_mp_div_2(&A); - if((res = mp_sub(&B, &xc, &B)) != MP_OKAY) goto CLEANUP; - s_mp_div_2(&B); - } - } - - while(mp_iseven(&v)) { - s_mp_div_2(&v); - - if(mp_iseven(&C) && mp_iseven(&D)) { - s_mp_div_2(&C); s_mp_div_2(&D); - } else { - if((res = mp_add(&C, &yc, &C)) != MP_OKAY) goto CLEANUP; - s_mp_div_2(&C); - if((res = mp_sub(&D, &xc, &D)) != MP_OKAY) goto CLEANUP; - s_mp_div_2(&D); - } - } - - if(mp_cmp(&u, &v) >= 0) { - if((res = mp_sub(&u, &v, &u)) != MP_OKAY) goto CLEANUP; - if((res = mp_sub(&A, &C, &A)) != MP_OKAY) goto CLEANUP; - if((res = mp_sub(&B, &D, &B)) != MP_OKAY) goto CLEANUP; - - } else { - if((res = mp_sub(&v, &u, &v)) != MP_OKAY) goto CLEANUP; - if((res = mp_sub(&C, &A, &C)) != MP_OKAY) goto CLEANUP; - if((res = mp_sub(&D, &B, &D)) != MP_OKAY) goto CLEANUP; - - } - - /* If we're done, copy results to output */ - if(mp_cmp_z(&u) == 0) { - if(x) - if((res = mp_copy(&C, x)) != MP_OKAY) goto CLEANUP; - - if(y) - if((res = mp_copy(&D, y)) != MP_OKAY) goto CLEANUP; - - if(g) - if((res = mp_mul(&gx, &v, g)) != MP_OKAY) goto CLEANUP; - - break; - } - } - - CLEANUP: - while(last >= 0) - mp_clear(clean[last--]); - - return res; - -} /* end mp_xgcd() */ - -/* }}} */ - -/* {{{ mp_invmod(a, m, c) */ - -/* - mp_invmod(a, m, c) - - Compute c = a^-1 (mod m), if there is an inverse for a (mod m). - This is equivalent to the question of whether (a, m) = 1. If not, - MP_UNDEF is returned, and there is no inverse. - */ - -mp_err mp_invmod(mp_int *a, mp_int *m, mp_int *c) -{ - mp_int g, x; - mp_err res; - - ARGCHK(a && m && c, MP_BADARG); - - if(mp_cmp_z(a) == 0 || mp_cmp_z(m) == 0) - return MP_RANGE; - - if((res = mp_init(&g)) != MP_OKAY) - return res; - if((res = mp_init(&x)) != MP_OKAY) - goto X; - - if((res = mp_xgcd(a, m, &g, &x, NULL)) != MP_OKAY) - goto CLEANUP; - - if(mp_cmp_d(&g, 1) != MP_EQ) { - res = MP_UNDEF; - goto CLEANUP; - } - - res = mp_mod(&x, m, c); - SIGN(c) = SIGN(a); - -CLEANUP: - mp_clear(&x); -X: - mp_clear(&g); - - return res; - -} /* end mp_invmod() */ - -/* }}} */ -#endif /* if MP_NUMTH */ - -/* }}} */ - -/*------------------------------------------------------------------------*/ -/* {{{ mp_print(mp, ofp) */ - -#if MP_IOFUNC -/* - mp_print(mp, ofp) - - Print a textual representation of the given mp_int on the output - stream 'ofp'. Output is generated using the internal radix. - */ - -void mp_print(mp_int *mp, FILE *ofp) -{ - int ix; - - if(mp == NULL || ofp == NULL) - return; - - fputc((SIGN(mp) == MP_NEG) ? '-' : '+', ofp); - - for(ix = USED(mp) - 1; ix >= 0; ix--) { - fprintf(ofp, DIGIT_FMT, DIGIT(mp, ix)); - } - -} /* end mp_print() */ - -#endif /* if MP_IOFUNC */ - -/* }}} */ - -/*------------------------------------------------------------------------*/ -/* {{{ More I/O Functions */ - -/* {{{ mp_read_signed_bin(mp, str, len) */ - -/* - mp_read_signed_bin(mp, str, len) - - Read in a raw value (base 256) into the given mp_int - */ - -mp_err mp_read_signed_bin(mp_int *mp, unsigned char *str, int len) -{ - mp_err res; - - ARGCHK(mp != NULL && str != NULL && len > 0, MP_BADARG); - - if((res = mp_read_unsigned_bin(mp, str + 1, len - 1)) == MP_OKAY) { - /* Get sign from first byte */ - if(str[0]) - SIGN(mp) = MP_NEG; - else - SIGN(mp) = MP_ZPOS; - } - - return res; - -} /* end mp_read_signed_bin() */ - -/* }}} */ - -/* {{{ mp_signed_bin_size(mp) */ - -int mp_signed_bin_size(mp_int *mp) -{ - ARGCHK(mp != NULL, 0); - - return mp_unsigned_bin_size(mp) + 1; - -} /* end mp_signed_bin_size() */ - -/* }}} */ - -/* {{{ mp_to_signed_bin(mp, str) */ - -mp_err mp_to_signed_bin(mp_int *mp, unsigned char *str) -{ - ARGCHK(mp != NULL && str != NULL, MP_BADARG); - - /* Caller responsible for allocating enough memory (use mp_raw_size(mp)) */ - str[0] = (char)SIGN(mp); - - return mp_to_unsigned_bin(mp, str + 1); - -} /* end mp_to_signed_bin() */ - -/* }}} */ - -/* {{{ mp_read_unsigned_bin(mp, str, len) */ - -/* - mp_read_unsigned_bin(mp, str, len) - - Read in an unsigned value (base 256) into the given mp_int - */ - -mp_err mp_read_unsigned_bin(mp_int *mp, unsigned char *str, int len) -{ - int ix; - mp_err res; - - ARGCHK(mp != NULL && str != NULL && len > 0, MP_BADARG); - - mp_zero(mp); - - for(ix = 0; ix < len; ix++) { - if((res = s_mp_mul_2d(mp, CHAR_BIT)) != MP_OKAY) - return res; - - if((res = mp_add_d(mp, str[ix], mp)) != MP_OKAY) - return res; - } - - return MP_OKAY; - -} /* end mp_read_unsigned_bin() */ - -/* }}} */ - -/* {{{ mp_unsigned_bin_size(mp) */ - -int mp_unsigned_bin_size(mp_int *mp) -{ - mp_digit topdig; - int count; - - ARGCHK(mp != NULL, 0); - - /* Special case for the value zero */ - if(USED(mp) == 1 && DIGIT(mp, 0) == 0) - return 1; - - count = (USED(mp) - 1) * sizeof(mp_digit); - topdig = DIGIT(mp, USED(mp) - 1); - - while(topdig != 0) { - ++count; - topdig >>= CHAR_BIT; - } - - return count; - -} /* end mp_unsigned_bin_size() */ - -/* }}} */ - -/* {{{ mp_to_unsigned_bin(mp, str) */ - -mp_err mp_to_unsigned_bin(mp_int *mp, unsigned char *str) -{ - mp_digit *dp, *end, d; - unsigned char *spos; - - ARGCHK(mp != NULL && str != NULL, MP_BADARG); - - dp = DIGITS(mp); - end = dp + USED(mp) - 1; - spos = str; - - /* Special case for zero, quick test */ - if(dp == end && *dp == 0) { - *str = '\0'; - return MP_OKAY; - } - - /* Generate digits in reverse order */ - while(dp < end) { - int ix; - - d = *dp; - for(ix = 0; ix < sizeof(mp_digit); ++ix) { - *spos = d & UCHAR_MAX; - d >>= CHAR_BIT; - ++spos; - } - - ++dp; - } - - /* Now handle last digit specially, high order zeroes are not written */ - d = *end; - while(d != 0) { - *spos = d & UCHAR_MAX; - d >>= CHAR_BIT; - ++spos; - } - - /* Reverse everything to get digits in the correct order */ - while(--spos > str) { - unsigned char t = *str; - *str = *spos; - *spos = t; - - ++str; - } - - return MP_OKAY; - -} /* end mp_to_unsigned_bin() */ - -/* }}} */ - -/* {{{ mp_count_bits(mp) */ - -int mp_count_bits(mp_int *mp) -{ - int len; - mp_digit d; - - ARGCHK(mp != NULL, MP_BADARG); - - len = DIGIT_BIT * (USED(mp) - 1); - d = DIGIT(mp, USED(mp) - 1); - - while(d != 0) { - ++len; - d >>= 1; - } - - return len; - -} /* end mp_count_bits() */ - -/* }}} */ - -/* {{{ mp_read_radix(mp, str, radix) */ - -/* - mp_read_radix(mp, str, radix) - - Read an integer from the given string, and set mp to the resulting - value. The input is presumed to be in base 10. Leading non-digit - characters are ignored, and the function reads until a non-digit - character or the end of the string. - */ - -mp_err mp_read_radix(mp_int *mp, unsigned char *str, int radix) -{ - int ix = 0, val = 0; - mp_err res; - mp_sign sig = MP_ZPOS; - - ARGCHK(mp != NULL && str != NULL && radix >= 2 && radix <= MAX_RADIX, - MP_BADARG); - - mp_zero(mp); - - /* Skip leading non-digit characters until a digit or '-' or '+' */ - while(str[ix] && - (s_mp_tovalue(str[ix], radix) < 0) && - str[ix] != '-' && - str[ix] != '+') { - ++ix; - } - - if(str[ix] == '-') { - sig = MP_NEG; - ++ix; - } else if(str[ix] == '+') { - sig = MP_ZPOS; /* this is the default anyway... */ - ++ix; - } - - while((val = s_mp_tovalue(str[ix], radix)) >= 0) { - if((res = s_mp_mul_d(mp, radix)) != MP_OKAY) - return res; - if((res = s_mp_add_d(mp, val)) != MP_OKAY) - return res; - ++ix; - } - - if(s_mp_cmp_d(mp, 0) == MP_EQ) - SIGN(mp) = MP_ZPOS; - else - SIGN(mp) = sig; - - return MP_OKAY; - -} /* end mp_read_radix() */ - -/* }}} */ - -/* {{{ mp_radix_size(mp, radix) */ - -int mp_radix_size(mp_int *mp, int radix) -{ - int len; - ARGCHK(mp != NULL, 0); - - len = s_mp_outlen(mp_count_bits(mp), radix) + 1; /* for NUL terminator */ - - if(mp_cmp_z(mp) < 0) - ++len; /* for sign */ - - return len; - -} /* end mp_radix_size() */ - -/* }}} */ - -/* {{{ mp_value_radix_size(num, qty, radix) */ - -/* num = number of digits - qty = number of bits per digit - radix = target base - - Return the number of digits in the specified radix that would be - needed to express 'num' digits of 'qty' bits each. - */ -int mp_value_radix_size(int num, int qty, int radix) -{ - ARGCHK(num >= 0 && qty > 0 && radix >= 2 && radix <= MAX_RADIX, 0); - - return s_mp_outlen(num * qty, radix); - -} /* end mp_value_radix_size() */ - -/* }}} */ - -/* {{{ mp_toradix(mp, str, radix) */ - -mp_err mp_toradix(mp_int *mp, unsigned char *str, int radix) -{ - int ix, pos = 0; - - ARGCHK(mp != NULL && str != NULL, MP_BADARG); - ARGCHK(radix > 1 && radix <= MAX_RADIX, MP_RANGE); - - if(mp_cmp_z(mp) == MP_EQ) { - str[0] = '0'; - str[1] = '\0'; - } else { - mp_err res; - mp_int tmp; - mp_sign sgn; - mp_digit rem, rdx = (mp_digit)radix; - char ch; - - if((res = mp_init_copy(&tmp, mp)) != MP_OKAY) - return res; - - /* Save sign for later, and take absolute value */ - sgn = SIGN(&tmp); SIGN(&tmp) = MP_ZPOS; - - /* Generate output digits in reverse order */ - while(mp_cmp_z(&tmp) != 0) { - if((res = s_mp_div_d(&tmp, rdx, &rem)) != MP_OKAY) { - mp_clear(&tmp); - return res; - } - - /* Generate digits, use capital letters */ - ch = s_mp_todigit(rem, radix, 0); - - str[pos++] = ch; - } - - /* Add - sign if original value was negative */ - if(sgn == MP_NEG) - str[pos++] = '-'; - - /* Add trailing NUL to end the string */ - str[pos--] = '\0'; - - /* Reverse the digits and sign indicator */ - ix = 0; - while(ix < pos) { - char tmp = str[ix]; - - str[ix] = str[pos]; - str[pos] = tmp; - ++ix; - --pos; - } - - mp_clear(&tmp); - } - - return MP_OKAY; - -} /* end mp_toradix() */ - -/* }}} */ - -/* {{{ mp_char2value(ch, r) */ - -int mp_char2value(char ch, int r) -{ - return s_mp_tovalue(ch, r); - -} /* end mp_tovalue() */ - -/* }}} */ - -/* }}} */ - -/* {{{ mp_strerror(ec) */ - -/* - mp_strerror(ec) - - Return a string describing the meaning of error code 'ec'. The - string returned is allocated in static memory, so the caller should - not attempt to modify or free the memory associated with this - string. - */ -const char *mp_strerror(mp_err ec) -{ - int aec = (ec < 0) ? -ec : ec; - - /* Code values are negative, so the senses of these comparisons - are accurate */ - if(ec < MP_LAST_CODE || ec > MP_OKAY) { - return mp_err_string[0]; /* unknown error code */ - } else { - return mp_err_string[aec + 1]; - } - -} /* end mp_strerror() */ - -/* }}} */ - -/*========================================================================*/ -/*------------------------------------------------------------------------*/ -/* Static function definitions (internal use only) */ - -/* {{{ Memory management */ - -/* {{{ s_mp_grow(mp, min) */ - -/* Make sure there are at least 'min' digits allocated to mp */ -mp_err s_mp_grow(mp_int *mp, mp_size min) -{ - if(min > ALLOC(mp)) { - mp_digit *tmp; - - /* Set min to next nearest default precision block size */ - min = ((min + (s_mp_defprec - 1)) / s_mp_defprec) * s_mp_defprec; - - if((tmp = s_mp_alloc(min, sizeof(mp_digit))) == NULL) - return MP_MEM; - - s_mp_copy(DIGITS(mp), tmp, USED(mp)); - -#if MP_CRYPTO - s_mp_setz(DIGITS(mp), ALLOC(mp)); -#endif - s_mp_free(DIGITS(mp)); - DIGITS(mp) = tmp; - ALLOC(mp) = min; - } - - return MP_OKAY; - -} /* end s_mp_grow() */ - -/* }}} */ - -/* {{{ s_mp_pad(mp, min) */ - -/* Make sure the used size of mp is at least 'min', growing if needed */ -mp_err s_mp_pad(mp_int *mp, mp_size min) -{ - if(min > USED(mp)) { - mp_err res; - - /* Make sure there is room to increase precision */ - if(min > ALLOC(mp) && (res = s_mp_grow(mp, min)) != MP_OKAY) - return res; - - /* Increase precision; should already be 0-filled */ - USED(mp) = min; - } - - return MP_OKAY; - -} /* end s_mp_pad() */ - -/* }}} */ - -/* {{{ s_mp_setz(dp, count) */ - -#if MP_MACRO == 0 -/* Set 'count' digits pointed to by dp to be zeroes */ -void s_mp_setz(mp_digit *dp, mp_size count) -{ -#if MP_MEMSET == 0 - int ix; - - for(ix = 0; ix < count; ix++) - dp[ix] = 0; -#else - memset(dp, 0, count * sizeof(mp_digit)); -#endif - -} /* end s_mp_setz() */ -#endif - -/* }}} */ - -/* {{{ s_mp_copy(sp, dp, count) */ - -#if MP_MACRO == 0 -/* Copy 'count' digits from sp to dp */ -void s_mp_copy(mp_digit *sp, mp_digit *dp, mp_size count) -{ -#if MP_MEMCPY == 0 - int ix; - - for(ix = 0; ix < count; ix++) - dp[ix] = sp[ix]; -#else - memcpy(dp, sp, count * sizeof(mp_digit)); -#endif - -} /* end s_mp_copy() */ -#endif - -/* }}} */ - -/* {{{ s_mp_alloc(nb, ni) */ - -#if MP_MACRO == 0 -/* Allocate ni records of nb bytes each, and return a pointer to that */ -void *s_mp_alloc(size_t nb, size_t ni) -{ - return calloc(nb, ni); - -} /* end s_mp_alloc() */ -#endif - -/* }}} */ - -/* {{{ s_mp_free(ptr) */ - -#if MP_MACRO == 0 -/* Free the memory pointed to by ptr */ -void s_mp_free(void *ptr) -{ - if(ptr) - free(ptr); - -} /* end s_mp_free() */ -#endif - -/* }}} */ - -/* {{{ s_mp_clamp(mp) */ - -/* Remove leading zeroes from the given value */ -void s_mp_clamp(mp_int *mp) -{ - mp_size du = USED(mp); - mp_digit *zp = DIGITS(mp) + du - 1; - - while(du > 1 && !*zp--) - --du; - - USED(mp) = du; - -} /* end s_mp_clamp() */ - - -/* }}} */ - -/* {{{ s_mp_exch(a, b) */ - -/* Exchange the data for a and b; (b, a) = (a, b) */ -void s_mp_exch(mp_int *a, mp_int *b) -{ - mp_int tmp; - - tmp = *a; - *a = *b; - *b = tmp; - -} /* end s_mp_exch() */ - -/* }}} */ - -/* }}} */ - -/* {{{ Arithmetic helpers */ - -/* {{{ s_mp_lshd(mp, p) */ - -/* - Shift mp leftward by p digits, growing if needed, and zero-filling - the in-shifted digits at the right end. This is a convenient - alternative to multiplication by powers of the radix - */ - -mp_err s_mp_lshd(mp_int *mp, mp_size p) -{ - mp_err res; - mp_size pos; - mp_digit *dp; - int ix; - - if(p == 0) - return MP_OKAY; - - if((res = s_mp_pad(mp, USED(mp) + p)) != MP_OKAY) - return res; - - pos = USED(mp) - 1; - dp = DIGITS(mp); - - /* Shift all the significant figures over as needed */ - for(ix = pos - p; ix >= 0; ix--) - dp[ix + p] = dp[ix]; - - /* Fill the bottom digits with zeroes */ - for(ix = 0; ix < p; ix++) - dp[ix] = 0; - - return MP_OKAY; - -} /* end s_mp_lshd() */ - -/* }}} */ - -/* {{{ s_mp_rshd(mp, p) */ - -/* - Shift mp rightward by p digits. Maintains the invariant that - digits above the precision are all zero. Digits shifted off the - end are lost. Cannot fail. - */ - -void s_mp_rshd(mp_int *mp, mp_size p) -{ - mp_size ix; - mp_digit *dp; - - if(p == 0) - return; - - /* Shortcut when all digits are to be shifted off */ - if(p >= USED(mp)) { - s_mp_setz(DIGITS(mp), ALLOC(mp)); - USED(mp) = 1; - SIGN(mp) = MP_ZPOS; - return; - } - - /* Shift all the significant figures over as needed */ - dp = DIGITS(mp); - for(ix = p; ix < USED(mp); ix++) - dp[ix - p] = dp[ix]; - - /* Fill the top digits with zeroes */ - ix -= p; - while(ix < USED(mp)) - dp[ix++] = 0; - - /* Strip off any leading zeroes */ - s_mp_clamp(mp); - -} /* end s_mp_rshd() */ - -/* }}} */ - -/* {{{ s_mp_div_2(mp) */ - -/* Divide by two -- take advantage of radix properties to do it fast */ -void s_mp_div_2(mp_int *mp) -{ - s_mp_div_2d(mp, 1); - -} /* end s_mp_div_2() */ - -/* }}} */ - -/* {{{ s_mp_mul_2(mp) */ - -mp_err s_mp_mul_2(mp_int *mp) -{ - int ix; - mp_digit kin = 0, kout, *dp = DIGITS(mp); - mp_err res; - - /* Shift digits leftward by 1 bit */ - for(ix = 0; ix < USED(mp); ix++) { - kout = (dp[ix] >> (DIGIT_BIT - 1)) & 1; - dp[ix] = (dp[ix] << 1) | kin; - - kin = kout; - } - - /* Deal with rollover from last digit */ - if(kin) { - if(ix >= ALLOC(mp)) { - if((res = s_mp_grow(mp, ALLOC(mp) + 1)) != MP_OKAY) - return res; - dp = DIGITS(mp); - } - - dp[ix] = kin; - USED(mp) += 1; - } - - return MP_OKAY; - -} /* end s_mp_mul_2() */ - -/* }}} */ - -/* {{{ s_mp_mod_2d(mp, d) */ - -/* - Remainder the integer by 2^d, where d is a number of bits. This - amounts to a bitwise AND of the value, and does not require the full - division code - */ -void s_mp_mod_2d(mp_int *mp, mp_digit d) -{ - unsigned int ndig = (d / DIGIT_BIT), nbit = (d % DIGIT_BIT); - unsigned int ix; - mp_digit dmask, *dp = DIGITS(mp); - - if(ndig >= USED(mp)) - return; - - /* Flush all the bits above 2^d in its digit */ - dmask = (1 << nbit) - 1; - dp[ndig] &= dmask; - - /* Flush all digits above the one with 2^d in it */ - for(ix = ndig + 1; ix < USED(mp); ix++) - dp[ix] = 0; - - s_mp_clamp(mp); - -} /* end s_mp_mod_2d() */ - -/* }}} */ - -/* {{{ s_mp_mul_2d(mp, d) */ - -/* - Multiply by the integer 2^d, where d is a number of bits. This - amounts to a bitwise shift of the value, and does not require the - full multiplication code. - */ -mp_err s_mp_mul_2d(mp_int *mp, mp_digit d) -{ - mp_err res; - mp_digit save, next, mask, *dp; - mp_size used; - int ix; - - if((res = s_mp_lshd(mp, d / DIGIT_BIT)) != MP_OKAY) - return res; - - dp = DIGITS(mp); used = USED(mp); - d %= DIGIT_BIT; - - mask = (1 << d) - 1; - - /* If the shift requires another digit, make sure we've got one to - work with */ - if((dp[used - 1] >> (DIGIT_BIT - d)) & mask) { - if((res = s_mp_grow(mp, used + 1)) != MP_OKAY) - return res; - dp = DIGITS(mp); - } - - /* Do the shifting... */ - save = 0; - for(ix = 0; ix < used; ix++) { - next = (dp[ix] >> (DIGIT_BIT - d)) & mask; - dp[ix] = (dp[ix] << d) | save; - save = next; - } - - /* If, at this point, we have a nonzero carryout into the next - digit, we'll increase the size by one digit, and store it... - */ - if(save) { - dp[used] = save; - USED(mp) += 1; - } - - s_mp_clamp(mp); - return MP_OKAY; - -} /* end s_mp_mul_2d() */ - -/* }}} */ - -/* {{{ s_mp_div_2d(mp, d) */ - -/* - Divide the integer by 2^d, where d is a number of bits. This - amounts to a bitwise shift of the value, and does not require the - full division code (used in Barrett reduction, see below) - */ -void s_mp_div_2d(mp_int *mp, mp_digit d) -{ - int ix; - mp_digit save, next, mask, *dp = DIGITS(mp); - - s_mp_rshd(mp, d / DIGIT_BIT); - d %= DIGIT_BIT; - - mask = (1 << d) - 1; - - save = 0; - for(ix = USED(mp) - 1; ix >= 0; ix--) { - next = dp[ix] & mask; - dp[ix] = (dp[ix] >> d) | (save << (DIGIT_BIT - d)); - save = next; - } - - s_mp_clamp(mp); - -} /* end s_mp_div_2d() */ - -/* }}} */ - -/* {{{ s_mp_norm(a, b) */ - -/* - s_mp_norm(a, b) - - Normalize a and b for division, where b is the divisor. In order - that we might make good guesses for quotient digits, we want the - leading digit of b to be at least half the radix, which we - accomplish by multiplying a and b by a constant. This constant is - returned (so that it can be divided back out of the remainder at the - end of the division process). - - We multiply by the smallest power of 2 that gives us a leading digit - at least half the radix. By choosing a power of 2, we simplify the - multiplication and division steps to simple shifts. - */ -mp_digit s_mp_norm(mp_int *a, mp_int *b) -{ - mp_digit t, d = 0; - - t = DIGIT(b, USED(b) - 1); - while(t < (RADIX / 2)) { - t <<= 1; - ++d; - } - - if(d != 0) { - s_mp_mul_2d(a, d); - s_mp_mul_2d(b, d); - } - - return d; - -} /* end s_mp_norm() */ - -/* }}} */ - -/* }}} */ - -/* {{{ Primitive digit arithmetic */ - -/* {{{ s_mp_add_d(mp, d) */ - -/* Add d to |mp| in place */ -mp_err s_mp_add_d(mp_int *mp, mp_digit d) /* unsigned digit addition */ -{ - mp_word w, k = 0; - mp_size ix = 1, used = USED(mp); - mp_digit *dp = DIGITS(mp); - - w = dp[0] + d; - dp[0] = ACCUM(w); - k = CARRYOUT(w); - - while(ix < used && k) { - w = dp[ix] + k; - dp[ix] = ACCUM(w); - k = CARRYOUT(w); - ++ix; - } - - if(k != 0) { - mp_err res; - - if((res = s_mp_pad(mp, USED(mp) + 1)) != MP_OKAY) - return res; - - DIGIT(mp, ix) = k; - } - - return MP_OKAY; - -} /* end s_mp_add_d() */ - -/* }}} */ - -/* {{{ s_mp_sub_d(mp, d) */ - -/* Subtract d from |mp| in place, assumes |mp| > d */ -mp_err s_mp_sub_d(mp_int *mp, mp_digit d) /* unsigned digit subtract */ -{ - mp_word w, b = 0; - mp_size ix = 1, used = USED(mp); - mp_digit *dp = DIGITS(mp); - - /* Compute initial subtraction */ - w = (RADIX + dp[0]) - d; - b = CARRYOUT(w) ? 0 : 1; - dp[0] = ACCUM(w); - - /* Propagate borrows leftward */ - while(b && ix < used) { - w = (RADIX + dp[ix]) - b; - b = CARRYOUT(w) ? 0 : 1; - dp[ix] = ACCUM(w); - ++ix; - } - - /* Remove leading zeroes */ - s_mp_clamp(mp); - - /* If we have a borrow out, it's a violation of the input invariant */ - if(b) - return MP_RANGE; - else - return MP_OKAY; - -} /* end s_mp_sub_d() */ - -/* }}} */ - -/* {{{ s_mp_mul_d(a, d) */ - -/* Compute a = a * d, single digit multiplication */ -mp_err s_mp_mul_d(mp_int *a, mp_digit d) -{ - mp_word w, k = 0; - mp_size ix, max; - mp_err res; - mp_digit *dp = DIGITS(a); - - /* - Single-digit multiplication will increase the precision of the - output by at most one digit. However, we can detect when this - will happen -- if the high-order digit of a, times d, gives a - two-digit result, then the precision of the result will increase; - otherwise it won't. We use this fact to avoid calling s_mp_pad() - unless absolutely necessary. - */ - max = USED(a); - w = dp[max - 1] * d; - if(CARRYOUT(w) != 0) { - if((res = s_mp_pad(a, max + 1)) != MP_OKAY) - return res; - dp = DIGITS(a); - } - - for(ix = 0; ix < max; ix++) { - w = (dp[ix] * d) + k; - dp[ix] = ACCUM(w); - k = CARRYOUT(w); - } - - /* If there is a precision increase, take care of it here; the above - test guarantees we have enough storage to do this safely. - */ - if(k) { - dp[max] = k; - USED(a) = max + 1; - } - - s_mp_clamp(a); - - return MP_OKAY; - -} /* end s_mp_mul_d() */ - -/* }}} */ - -/* {{{ s_mp_div_d(mp, d, r) */ - -/* - s_mp_div_d(mp, d, r) - - Compute the quotient mp = mp / d and remainder r = mp mod d, for a - single digit d. If r is null, the remainder will be discarded. - */ - -mp_err s_mp_div_d(mp_int *mp, mp_digit d, mp_digit *r) -{ - mp_word w = 0, t; - mp_int quot; - mp_err res; - mp_digit *dp = DIGITS(mp), *qp; - int ix; - - if(d == 0) - return MP_RANGE; - - /* Make room for the quotient */ - if((res = mp_init_size(", USED(mp))) != MP_OKAY) - return res; - - USED(") = USED(mp); /* so clamping will work below */ - qp = DIGITS("); - - /* Divide without subtraction */ - for(ix = USED(mp) - 1; ix >= 0; ix--) { - w = (w << DIGIT_BIT) | dp[ix]; - - if(w >= d) { - t = w / d; - w = w % d; - } else { - t = 0; - } - - qp[ix] = t; - } - - /* Deliver the remainder, if desired */ - if(r) - *r = w; - - s_mp_clamp("); - mp_exch(", mp); - mp_clear("); - - return MP_OKAY; - -} /* end s_mp_div_d() */ - -/* }}} */ - -/* }}} */ - -/* {{{ Primitive full arithmetic */ - -/* {{{ s_mp_add(a, b) */ - -/* Compute a = |a| + |b| */ -mp_err s_mp_add(mp_int *a, mp_int *b) /* magnitude addition */ -{ - mp_word w = 0; - mp_digit *pa, *pb; - mp_size ix, used = USED(b); - mp_err res; - - /* Make sure a has enough precision for the output value */ - if((used > USED(a)) && (res = s_mp_pad(a, used)) != MP_OKAY) - return res; - - /* - Add up all digits up to the precision of b. If b had initially - the same precision as a, or greater, we took care of it by the - padding step above, so there is no problem. If b had initially - less precision, we'll have to make sure the carry out is duly - propagated upward among the higher-order digits of the sum. - */ - pa = DIGITS(a); - pb = DIGITS(b); - for(ix = 0; ix < used; ++ix) { - w += *pa + *pb++; - *pa++ = ACCUM(w); - w = CARRYOUT(w); - } - - /* If we run out of 'b' digits before we're actually done, make - sure the carries get propagated upward... - */ - used = USED(a); - while(w && ix < used) { - w += *pa; - *pa++ = ACCUM(w); - w = CARRYOUT(w); - ++ix; - } - - /* If there's an overall carry out, increase precision and include - it. We could have done this initially, but why touch the memory - allocator unless we're sure we have to? - */ - if(w) { - if((res = s_mp_pad(a, used + 1)) != MP_OKAY) - return res; - - DIGIT(a, ix) = w; /* pa may not be valid after s_mp_pad() call */ - } - - return MP_OKAY; - -} /* end s_mp_add() */ - -/* }}} */ - -/* {{{ s_mp_sub(a, b) */ - -/* Compute a = |a| - |b|, assumes |a| >= |b| */ -mp_err s_mp_sub(mp_int *a, mp_int *b) /* magnitude subtract */ -{ - mp_word w = 0; - mp_digit *pa, *pb; - mp_size ix, used = USED(b); - - /* - Subtract and propagate borrow. Up to the precision of b, this - accounts for the digits of b; after that, we just make sure the - carries get to the right place. This saves having to pad b out to - the precision of a just to make the loops work right... - */ - pa = DIGITS(a); - pb = DIGITS(b); - - for(ix = 0; ix < used; ++ix) { - w = (RADIX + *pa) - w - *pb++; - *pa++ = ACCUM(w); - w = CARRYOUT(w) ? 0 : 1; - } - - used = USED(a); - while(ix < used) { - w = RADIX + *pa - w; - *pa++ = ACCUM(w); - w = CARRYOUT(w) ? 0 : 1; - ++ix; - } - - /* Clobber any leading zeroes we created */ - s_mp_clamp(a); - - /* - If there was a borrow out, then |b| > |a| in violation - of our input invariant. We've already done the work, - but we'll at least complain about it... - */ - if(w) - return MP_RANGE; - else - return MP_OKAY; - -} /* end s_mp_sub() */ - -/* }}} */ - -mp_err s_mp_reduce(mp_int *x, mp_int *m, mp_int *mu) -{ - mp_int q; - mp_err res; - mp_size um = USED(m); - - if((res = mp_init_copy(&q, x)) != MP_OKAY) - return res; - - s_mp_rshd(&q, um - 1); /* q1 = x / b^(k-1) */ - s_mp_mul(&q, mu); /* q2 = q1 * mu */ - s_mp_rshd(&q, um + 1); /* q3 = q2 / b^(k+1) */ - - /* x = x mod b^(k+1), quick (no division) */ - s_mp_mod_2d(x, (mp_digit)(DIGIT_BIT * (um + 1))); - - /* q = q * m mod b^(k+1), quick (no division), uses the short multiplier */ -#ifndef SHRT_MUL - s_mp_mul(&q, m); - s_mp_mod_2d(&q, (mp_digit)(DIGIT_BIT * (um + 1))); -#else - s_mp_mul_dig(&q, m, um + 1); -#endif - - /* x = x - q */ - if((res = mp_sub(x, &q, x)) != MP_OKAY) - goto CLEANUP; - - /* If x < 0, add b^(k+1) to it */ - if(mp_cmp_z(x) < 0) { - mp_set(&q, 1); - if((res = s_mp_lshd(&q, um + 1)) != MP_OKAY) - goto CLEANUP; - if((res = mp_add(x, &q, x)) != MP_OKAY) - goto CLEANUP; - } - - /* Back off if it's too big */ - while(mp_cmp(x, m) >= 0) { - if((res = s_mp_sub(x, m)) != MP_OKAY) - break; - } - - CLEANUP: - mp_clear(&q); - - return res; - -} /* end s_mp_reduce() */ - - - -/* {{{ s_mp_mul(a, b) */ - -/* Compute a = |a| * |b| */ -mp_err s_mp_mul(mp_int *a, mp_int *b) -{ - mp_word w, k = 0; - mp_int tmp; - mp_err res; - mp_size ix, jx, ua = USED(a), ub = USED(b); - mp_digit *pa, *pb, *pt, *pbt; - - if((res = mp_init_size(&tmp, ua + ub)) != MP_OKAY) - return res; - - /* This has the effect of left-padding with zeroes... */ - USED(&tmp) = ua + ub; - - /* We're going to need the base value each iteration */ - pbt = DIGITS(&tmp); - - /* Outer loop: Digits of b */ - - pb = DIGITS(b); - for(ix = 0; ix < ub; ++ix, ++pb) { - if(*pb == 0) - continue; - - /* Inner product: Digits of a */ - pa = DIGITS(a); - for(jx = 0; jx < ua; ++jx, ++pa) { - pt = pbt + ix + jx; - w = *pb * *pa + k + *pt; - *pt = ACCUM(w); - k = CARRYOUT(w); - } - - pbt[ix + jx] = k; - k = 0; - } - - s_mp_clamp(&tmp); - s_mp_exch(&tmp, a); - - mp_clear(&tmp); - - return MP_OKAY; - -} /* end s_mp_mul() */ - -/* }}} */ - -/* {{{ s_mp_kmul(a, b, out, len) */ - -#if 0 -void s_mp_kmul(mp_digit *a, mp_digit *b, mp_digit *out, mp_size len) -{ - mp_word w, k = 0; - mp_size ix, jx; - mp_digit *pa, *pt; - - for(ix = 0; ix < len; ++ix, ++b) { - if(*b == 0) - continue; - - pa = a; - for(jx = 0; jx < len; ++jx, ++pa) { - pt = out + ix + jx; - w = *b * *pa + k + *pt; - *pt = ACCUM(w); - k = CARRYOUT(w); - } - - out[ix + jx] = k; - k = 0; - } - -} /* end s_mp_kmul() */ -#endif - -/* }}} */ - -/* {{{ s_mp_sqr(a) */ - -/* - Computes the square of a, in place. This can be done more - efficiently than a general multiplication, because many of the - computation steps are redundant when squaring. The inner product - step is a bit more complicated, but we save a fair number of - iterations of the multiplication loop. - */ -#if MP_SQUARE -mp_err s_mp_sqr(mp_int *a) -{ - mp_word w, k = 0; - mp_int tmp; - mp_err res; - mp_size ix, jx, kx, used = USED(a); - mp_digit *pa1, *pa2, *pt, *pbt; - - if((res = mp_init_size(&tmp, 2 * used)) != MP_OKAY) - return res; - - /* Left-pad with zeroes */ - USED(&tmp) = 2 * used; - - /* We need the base value each time through the loop */ - pbt = DIGITS(&tmp); - - pa1 = DIGITS(a); - for(ix = 0; ix < used; ++ix, ++pa1) { - if(*pa1 == 0) - continue; - - w = DIGIT(&tmp, ix + ix) + (*pa1 * *pa1); - - pbt[ix + ix] = ACCUM(w); - k = CARRYOUT(w); - - /* - The inner product is computed as: - - (C, S) = t[i,j] + 2 a[i] a[j] + C - - This can overflow what can be represented in an mp_word, and - since C arithmetic does not provide any way to check for - overflow, we have to check explicitly for overflow conditions - before they happen. - */ - for(jx = ix + 1, pa2 = DIGITS(a) + jx; jx < used; ++jx, ++pa2) { - mp_word u = 0, v; - - /* Store this in a temporary to avoid indirections later */ - pt = pbt + ix + jx; - - /* Compute the multiplicative step */ - w = *pa1 * *pa2; - - /* If w is more than half MP_WORD_MAX, the doubling will - overflow, and we need to record a carry out into the next - word */ - u = (w >> (MP_WORD_BIT - 1)) & 1; - - /* Double what we've got, overflow will be ignored as defined - for C arithmetic (we've already noted if it is to occur) - */ - w *= 2; - - /* Compute the additive step */ - v = *pt + k; - - /* If we do not already have an overflow carry, check to see - if the addition will cause one, and set the carry out if so - */ - u |= ((MP_WORD_MAX - v) < w); - - /* Add in the rest, again ignoring overflow */ - w += v; - - /* Set the i,j digit of the output */ - *pt = ACCUM(w); - - /* Save carry information for the next iteration of the loop. - This is why k must be an mp_word, instead of an mp_digit */ - k = CARRYOUT(w) | (u << DIGIT_BIT); - - } /* for(jx ...) */ - - /* Set the last digit in the cycle and reset the carry */ - k = DIGIT(&tmp, ix + jx) + k; - pbt[ix + jx] = ACCUM(k); - k = CARRYOUT(k); - - /* If we are carrying out, propagate the carry to the next digit - in the output. This may cascade, so we have to be somewhat - circumspect -- but we will have enough precision in the output - that we won't overflow - */ - kx = 1; - while(k) { - k = pbt[ix + jx + kx] + 1; - pbt[ix + jx + kx] = ACCUM(k); - k = CARRYOUT(k); - ++kx; - } - } /* for(ix ...) */ - - s_mp_clamp(&tmp); - s_mp_exch(&tmp, a); - - mp_clear(&tmp); - - return MP_OKAY; - -} /* end s_mp_sqr() */ -#endif - -/* }}} */ - -/* {{{ s_mp_div(a, b) */ - -/* - s_mp_div(a, b) - - Compute a = a / b and b = a mod b. Assumes b > a. - */ - -mp_err s_mp_div(mp_int *a, mp_int *b) -{ - mp_int quot, rem, t; - mp_word q; - mp_err res; - mp_digit d; - int ix; - - if(mp_cmp_z(b) == 0) - return MP_RANGE; - - /* Shortcut if b is power of two */ - if((ix = s_mp_ispow2(b)) >= 0) { - mp_copy(a, b); /* need this for remainder */ - s_mp_div_2d(a, (mp_digit)ix); - s_mp_mod_2d(b, (mp_digit)ix); - - return MP_OKAY; - } - - /* Allocate space to store the quotient */ - if((res = mp_init_size(", USED(a))) != MP_OKAY) - return res; - - /* A working temporary for division */ - if((res = mp_init_size(&t, USED(a))) != MP_OKAY) - goto T; - - /* Allocate space for the remainder */ - if((res = mp_init_size(&rem, USED(a))) != MP_OKAY) - goto REM; - - /* Normalize to optimize guessing */ - d = s_mp_norm(a, b); - - /* Perform the division itself...woo! */ - ix = USED(a) - 1; - - while(ix >= 0) { - /* Find a partial substring of a which is at least b */ - while(s_mp_cmp(&rem, b) < 0 && ix >= 0) { - if((res = s_mp_lshd(&rem, 1)) != MP_OKAY) - goto CLEANUP; - - if((res = s_mp_lshd(", 1)) != MP_OKAY) - goto CLEANUP; - - DIGIT(&rem, 0) = DIGIT(a, ix); - s_mp_clamp(&rem); - --ix; - } - - /* If we didn't find one, we're finished dividing */ - if(s_mp_cmp(&rem, b) < 0) - break; - - /* Compute a guess for the next quotient digit */ - q = DIGIT(&rem, USED(&rem) - 1); - if(q <= DIGIT(b, USED(b) - 1) && USED(&rem) > 1) - q = (q << DIGIT_BIT) | DIGIT(&rem, USED(&rem) - 2); - - q /= DIGIT(b, USED(b) - 1); - - /* The guess can be as much as RADIX + 1 */ - if(q >= RADIX) - q = RADIX - 1; - - /* See what that multiplies out to */ - mp_copy(b, &t); - if((res = s_mp_mul_d(&t, q)) != MP_OKAY) - goto CLEANUP; - - /* - If it's too big, back it off. We should not have to do this - more than once, or, in rare cases, twice. Knuth describes a - method by which this could be reduced to a maximum of once, but - I didn't implement that here. - */ - while(s_mp_cmp(&t, &rem) > 0) { - --q; - s_mp_sub(&t, b); - } - - /* At this point, q should be the right next digit */ - if((res = s_mp_sub(&rem, &t)) != MP_OKAY) - goto CLEANUP; - - /* - Include the digit in the quotient. We allocated enough memory - for any quotient we could ever possibly get, so we should not - have to check for failures here - */ - DIGIT(", 0) = q; - } - - /* Denormalize remainder */ - if(d != 0) - s_mp_div_2d(&rem, d); - - s_mp_clamp("); - s_mp_clamp(&rem); - - /* Copy quotient back to output */ - s_mp_exch(", a); - - /* Copy remainder back to output */ - s_mp_exch(&rem, b); - -CLEANUP: - mp_clear(&rem); -REM: - mp_clear(&t); -T: - mp_clear("); - - return res; - -} /* end s_mp_div() */ - -/* }}} */ - -/* {{{ s_mp_2expt(a, k) */ - -mp_err s_mp_2expt(mp_int *a, mp_digit k) -{ - mp_err res; - mp_size dig, bit; - - dig = k / DIGIT_BIT; - bit = k % DIGIT_BIT; - - mp_zero(a); - if((res = s_mp_pad(a, dig + 1)) != MP_OKAY) - return res; - - DIGIT(a, dig) |= (1 << bit); - - return MP_OKAY; - -} /* end s_mp_2expt() */ - -/* }}} */ - - -/* }}} */ - -/* }}} */ - -/* {{{ Primitive comparisons */ - -/* {{{ s_mp_cmp(a, b) */ - -/* Compare |a| <=> |b|, return 0 if equal, <0 if a0 if a>b */ -int s_mp_cmp(mp_int *a, mp_int *b) -{ - mp_size ua = USED(a), ub = USED(b); - - if(ua > ub) - return MP_GT; - else if(ua < ub) - return MP_LT; - else { - int ix = ua - 1; - mp_digit *ap = DIGITS(a) + ix, *bp = DIGITS(b) + ix; - - while(ix >= 0) { - if(*ap > *bp) - return MP_GT; - else if(*ap < *bp) - return MP_LT; - - --ap; --bp; --ix; - } - - return MP_EQ; - } - -} /* end s_mp_cmp() */ - -/* }}} */ - -/* {{{ s_mp_cmp_d(a, d) */ - -/* Compare |a| <=> d, return 0 if equal, <0 if a0 if a>d */ -int s_mp_cmp_d(mp_int *a, mp_digit d) -{ - mp_size ua = USED(a); - mp_digit *ap = DIGITS(a); - - if(ua > 1) - return MP_GT; - - if(*ap < d) - return MP_LT; - else if(*ap > d) - return MP_GT; - else - return MP_EQ; - -} /* end s_mp_cmp_d() */ - -/* }}} */ - -/* {{{ s_mp_ispow2(v) */ - -/* - Returns -1 if the value is not a power of two; otherwise, it returns - k such that v = 2^k, i.e. lg(v). - */ -int s_mp_ispow2(mp_int *v) -{ - mp_digit d, *dp; - mp_size uv = USED(v); - int extra = 0, ix; - - d = DIGIT(v, uv - 1); /* most significant digit of v */ - - while(d && ((d & 1) == 0)) { - d >>= 1; - ++extra; - } - - if(d == 1) { - ix = uv - 2; - dp = DIGITS(v) + ix; - - while(ix >= 0) { - if(*dp) - return -1; /* not a power of two */ - - --dp; --ix; - } - - return ((uv - 1) * DIGIT_BIT) + extra; - } - - return -1; - -} /* end s_mp_ispow2() */ - -/* }}} */ - -/* {{{ s_mp_ispow2d(d) */ - -int s_mp_ispow2d(mp_digit d) -{ - int pow = 0; - - while((d & 1) == 0) { - ++pow; d >>= 1; - } - - if(d == 1) - return pow; - - return -1; - -} /* end s_mp_ispow2d() */ - -/* }}} */ - -/* }}} */ - -/* {{{ Primitive I/O helpers */ - -/* {{{ s_mp_tovalue(ch, r) */ - -/* - Convert the given character to its digit value, in the given radix. - If the given character is not understood in the given radix, -1 is - returned. Otherwise the digit's numeric value is returned. - - The results will be odd if you use a radix < 2 or > 62, you are - expected to know what you're up to. - */ -int s_mp_tovalue(char ch, int r) -{ - int val, xch; - - if(r > 36) - xch = ch; - else - xch = toupper(ch); - - if(isdigit(xch)) - val = xch - '0'; - else if(isupper(xch)) - val = xch - 'A' + 10; - else if(islower(xch)) - val = xch - 'a' + 36; - else if(xch == '+') - val = 62; - else if(xch == '/') - val = 63; - else - return -1; - - if(val < 0 || val >= r) - return -1; - - return val; - -} /* end s_mp_tovalue() */ - -/* }}} */ - -/* {{{ s_mp_todigit(val, r, low) */ - -/* - Convert val to a radix-r digit, if possible. If val is out of range - for r, returns zero. Otherwise, returns an ASCII character denoting - the value in the given radix. - - The results may be odd if you use a radix < 2 or > 64, you are - expected to know what you're doing. - */ - -char s_mp_todigit(int val, int r, int low) -{ - char ch; - - if(val < 0 || val >= r) - return 0; - - ch = s_dmap_1[val]; - - if(r <= 36 && low) - ch = tolower(ch); - - return ch; - -} /* end s_mp_todigit() */ - -/* }}} */ - -/* {{{ s_mp_outlen(bits, radix) */ - -/* - Return an estimate for how long a string is needed to hold a radix - r representation of a number with 'bits' significant bits. - - Does not include space for a sign or a NUL terminator. - */ -int s_mp_outlen(int bits, int r) -{ - return (int)((double)bits * LOG_V_2(r)); - -} /* end s_mp_outlen() */ - -/* }}} */ - -/* }}} */ - -/*------------------------------------------------------------------------*/ -/* HERE THERE BE DRAGONS */ -/* crc==4242132123, version==2, Sat Feb 02 06:43:52 2002 */ diff --git a/libtommath/mtest/mpi.h b/libtommath/mtest/mpi.h deleted file mode 100644 index 211421f..0000000 --- a/libtommath/mtest/mpi.h +++ /dev/null @@ -1,225 +0,0 @@ -/* - mpi.h - - by Michael J. Fromberger - Copyright (C) 1998 Michael J. Fromberger, All Rights Reserved - - Arbitrary precision integer arithmetic library - */ - -#ifndef _H_MPI_ -#define _H_MPI_ - -#include "mpi-config.h" - -#define MP_LT -1 -#define MP_EQ 0 -#define MP_GT 1 - -#if MP_DEBUG -#undef MP_IOFUNC -#define MP_IOFUNC 1 -#endif - -#if MP_IOFUNC -#include -#include -#endif - -#include - -#define MP_NEG 1 -#define MP_ZPOS 0 - -/* Included for compatibility... */ -#define NEG MP_NEG -#define ZPOS MP_ZPOS - -#define MP_OKAY 0 /* no error, all is well */ -#define MP_YES 0 /* yes (boolean result) */ -#define MP_NO -1 /* no (boolean result) */ -#define MP_MEM -2 /* out of memory */ -#define MP_RANGE -3 /* argument out of range */ -#define MP_BADARG -4 /* invalid parameter */ -#define MP_UNDEF -5 /* answer is undefined */ -#define MP_LAST_CODE MP_UNDEF - -#include "mpi-types.h" - -/* Included for compatibility... */ -#define DIGIT_BIT MP_DIGIT_BIT -#define DIGIT_MAX MP_DIGIT_MAX - -/* Macros for accessing the mp_int internals */ -#define SIGN(MP) ((MP)->sign) -#define USED(MP) ((MP)->used) -#define ALLOC(MP) ((MP)->alloc) -#define DIGITS(MP) ((MP)->dp) -#define DIGIT(MP,N) (MP)->dp[(N)] - -#if MP_ARGCHK == 1 -#define ARGCHK(X,Y) {if(!(X)){return (Y);}} -#elif MP_ARGCHK == 2 -#include -#define ARGCHK(X,Y) assert(X) -#else -#define ARGCHK(X,Y) /* */ -#endif - -/* This defines the maximum I/O base (minimum is 2) */ -#define MAX_RADIX 64 - -typedef struct { - mp_sign sign; /* sign of this quantity */ - mp_size alloc; /* how many digits allocated */ - mp_size used; /* how many digits used */ - mp_digit *dp; /* the digits themselves */ -} mp_int; - -/*------------------------------------------------------------------------*/ -/* Default precision */ - -unsigned int mp_get_prec(void); -void mp_set_prec(unsigned int prec); - -/*------------------------------------------------------------------------*/ -/* Memory management */ - -mp_err mp_init(mp_int *mp); -mp_err mp_init_array(mp_int mp[], int count); -mp_err mp_init_size(mp_int *mp, mp_size prec); -mp_err mp_init_copy(mp_int *mp, mp_int *from); -mp_err mp_copy(mp_int *from, mp_int *to); -void mp_exch(mp_int *mp1, mp_int *mp2); -void mp_clear(mp_int *mp); -void mp_clear_array(mp_int mp[], int count); -void mp_zero(mp_int *mp); -void mp_set(mp_int *mp, mp_digit d); -mp_err mp_set_int(mp_int *mp, long z); -mp_err mp_shrink(mp_int *a); - - -/*------------------------------------------------------------------------*/ -/* Single digit arithmetic */ - -mp_err mp_add_d(mp_int *a, mp_digit d, mp_int *b); -mp_err mp_sub_d(mp_int *a, mp_digit d, mp_int *b); -mp_err mp_mul_d(mp_int *a, mp_digit d, mp_int *b); -mp_err mp_mul_2(mp_int *a, mp_int *c); -mp_err mp_div_d(mp_int *a, mp_digit d, mp_int *q, mp_digit *r); -mp_err mp_div_2(mp_int *a, mp_int *c); -mp_err mp_expt_d(mp_int *a, mp_digit d, mp_int *c); - -/*------------------------------------------------------------------------*/ -/* Sign manipulations */ - -mp_err mp_abs(mp_int *a, mp_int *b); -mp_err mp_neg(mp_int *a, mp_int *b); - -/*------------------------------------------------------------------------*/ -/* Full arithmetic */ - -mp_err mp_add(mp_int *a, mp_int *b, mp_int *c); -mp_err mp_sub(mp_int *a, mp_int *b, mp_int *c); -mp_err mp_mul(mp_int *a, mp_int *b, mp_int *c); -mp_err mp_mul_2d(mp_int *a, mp_digit d, mp_int *c); -#if MP_SQUARE -mp_err mp_sqr(mp_int *a, mp_int *b); -#else -#define mp_sqr(a, b) mp_mul(a, a, b) -#endif -mp_err mp_div(mp_int *a, mp_int *b, mp_int *q, mp_int *r); -mp_err mp_div_2d(mp_int *a, mp_digit d, mp_int *q, mp_int *r); -mp_err mp_expt(mp_int *a, mp_int *b, mp_int *c); -mp_err mp_2expt(mp_int *a, mp_digit k); -mp_err mp_sqrt(mp_int *a, mp_int *b); - -/*------------------------------------------------------------------------*/ -/* Modular arithmetic */ - -#if MP_MODARITH -mp_err mp_mod(mp_int *a, mp_int *m, mp_int *c); -mp_err mp_mod_d(mp_int *a, mp_digit d, mp_digit *c); -mp_err mp_addmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c); -mp_err mp_submod(mp_int *a, mp_int *b, mp_int *m, mp_int *c); -mp_err mp_mulmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c); -#if MP_SQUARE -mp_err mp_sqrmod(mp_int *a, mp_int *m, mp_int *c); -#else -#define mp_sqrmod(a, m, c) mp_mulmod(a, a, m, c) -#endif -mp_err mp_exptmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c); -mp_err mp_exptmod_d(mp_int *a, mp_digit d, mp_int *m, mp_int *c); -#endif /* MP_MODARITH */ - -/*------------------------------------------------------------------------*/ -/* Comparisons */ - -int mp_cmp_z(mp_int *a); -int mp_cmp_d(mp_int *a, mp_digit d); -int mp_cmp(mp_int *a, mp_int *b); -int mp_cmp_mag(mp_int *a, mp_int *b); -int mp_cmp_int(mp_int *a, long z); -int mp_isodd(mp_int *a); -int mp_iseven(mp_int *a); - -/*------------------------------------------------------------------------*/ -/* Number theoretic */ - -#if MP_NUMTH -mp_err mp_gcd(mp_int *a, mp_int *b, mp_int *c); -mp_err mp_lcm(mp_int *a, mp_int *b, mp_int *c); -mp_err mp_xgcd(mp_int *a, mp_int *b, mp_int *g, mp_int *x, mp_int *y); -mp_err mp_invmod(mp_int *a, mp_int *m, mp_int *c); -#endif /* end MP_NUMTH */ - -/*------------------------------------------------------------------------*/ -/* Input and output */ - -#if MP_IOFUNC -void mp_print(mp_int *mp, FILE *ofp); -#endif /* end MP_IOFUNC */ - -/*------------------------------------------------------------------------*/ -/* Base conversion */ - -#define BITS 1 -#define BYTES CHAR_BIT - -mp_err mp_read_signed_bin(mp_int *mp, unsigned char *str, int len); -int mp_signed_bin_size(mp_int *mp); -mp_err mp_to_signed_bin(mp_int *mp, unsigned char *str); - -mp_err mp_read_unsigned_bin(mp_int *mp, unsigned char *str, int len); -int mp_unsigned_bin_size(mp_int *mp); -mp_err mp_to_unsigned_bin(mp_int *mp, unsigned char *str); - -int mp_count_bits(mp_int *mp); - -#if MP_COMPAT_MACROS -#define mp_read_raw(mp, str, len) mp_read_signed_bin((mp), (str), (len)) -#define mp_raw_size(mp) mp_signed_bin_size(mp) -#define mp_toraw(mp, str) mp_to_signed_bin((mp), (str)) -#define mp_read_mag(mp, str, len) mp_read_unsigned_bin((mp), (str), (len)) -#define mp_mag_size(mp) mp_unsigned_bin_size(mp) -#define mp_tomag(mp, str) mp_to_unsigned_bin((mp), (str)) -#endif - -mp_err mp_read_radix(mp_int *mp, unsigned char *str, int radix); -int mp_radix_size(mp_int *mp, int radix); -int mp_value_radix_size(int num, int qty, int radix); -mp_err mp_toradix(mp_int *mp, unsigned char *str, int radix); - -int mp_char2value(char ch, int r); - -#define mp_tobinary(M, S) mp_toradix((M), (S), 2) -#define mp_tooctal(M, S) mp_toradix((M), (S), 8) -#define mp_todecimal(M, S) mp_toradix((M), (S), 10) -#define mp_tohex(M, S) mp_toradix((M), (S), 16) - -/*------------------------------------------------------------------------*/ -/* Error strings */ - -const char *mp_strerror(mp_err ec); - -#endif /* end _H_MPI_ */ diff --git a/libtommath/mtest/mtest.c b/libtommath/mtest/mtest.c deleted file mode 100644 index d46f456..0000000 --- a/libtommath/mtest/mtest.c +++ /dev/null @@ -1,304 +0,0 @@ -/* makes a bignum test harness with NUM tests per operation - * - * the output is made in the following format [one parameter per line] - -operation -operand1 -operand2 -[... operandN] -result1 -result2 -[... resultN] - -So for example "a * b mod n" would be - -mulmod -a -b -n -a*b mod n - -e.g. if a=3, b=4 n=11 then - -mulmod -3 -4 -11 -1 - - */ - -#ifdef MP_8BIT -#define THE_MASK 127 -#else -#define THE_MASK 32767 -#endif - -#include -#include -#include -#include "mpi.c" - -FILE *rng; - -void rand_num(mp_int *a) -{ - int n, size; - unsigned char buf[2048]; - - size = 1 + ((fgetc(rng)<<8) + fgetc(rng)) % 101; - buf[0] = (fgetc(rng)&1)?1:0; - fread(buf+1, 1, size, rng); - while (buf[1] == 0) buf[1] = fgetc(rng); - mp_read_raw(a, buf, 1+size); -} - -void rand_num2(mp_int *a) -{ - int n, size; - unsigned char buf[2048]; - - size = 10 + ((fgetc(rng)<<8) + fgetc(rng)) % 101; - buf[0] = (fgetc(rng)&1)?1:0; - fread(buf+1, 1, size, rng); - while (buf[1] == 0) buf[1] = fgetc(rng); - mp_read_raw(a, buf, 1+size); -} - -#define mp_to64(a, b) mp_toradix(a, b, 64) - -int main(void) -{ - int n, tmp; - mp_int a, b, c, d, e; - clock_t t1; - char buf[4096]; - - mp_init(&a); - mp_init(&b); - mp_init(&c); - mp_init(&d); - mp_init(&e); - - - /* initial (2^n - 1)^2 testing, makes sure the comba multiplier works [it has the new carry code] */ -/* - mp_set(&a, 1); - for (n = 1; n < 8192; n++) { - mp_mul(&a, &a, &c); - printf("mul\n"); - mp_to64(&a, buf); - printf("%s\n%s\n", buf, buf); - mp_to64(&c, buf); - printf("%s\n", buf); - - mp_add_d(&a, 1, &a); - mp_mul_2(&a, &a); - mp_sub_d(&a, 1, &a); - } -*/ - - rng = fopen("/dev/urandom", "rb"); - if (rng == NULL) { - rng = fopen("/dev/random", "rb"); - if (rng == NULL) { - fprintf(stderr, "\nWarning: stdin used as random source\n\n"); - rng = stdin; - } - } - - t1 = clock(); - for (;;) { -#if 0 - if (clock() - t1 > CLOCKS_PER_SEC) { - sleep(2); - t1 = clock(); - } -#endif - n = fgetc(rng) % 15; - - if (n == 0) { - /* add tests */ - rand_num(&a); - rand_num(&b); - mp_add(&a, &b, &c); - printf("add\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - mp_to64(&c, buf); - printf("%s\n", buf); - } else if (n == 1) { - /* sub tests */ - rand_num(&a); - rand_num(&b); - mp_sub(&a, &b, &c); - printf("sub\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - mp_to64(&c, buf); - printf("%s\n", buf); - } else if (n == 2) { - /* mul tests */ - rand_num(&a); - rand_num(&b); - mp_mul(&a, &b, &c); - printf("mul\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - mp_to64(&c, buf); - printf("%s\n", buf); - } else if (n == 3) { - /* div tests */ - rand_num(&a); - rand_num(&b); - mp_div(&a, &b, &c, &d); - printf("div\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - mp_to64(&c, buf); - printf("%s\n", buf); - mp_to64(&d, buf); - printf("%s\n", buf); - } else if (n == 4) { - /* sqr tests */ - rand_num(&a); - mp_sqr(&a, &b); - printf("sqr\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - } else if (n == 5) { - /* mul_2d test */ - rand_num(&a); - mp_copy(&a, &b); - n = fgetc(rng) & 63; - mp_mul_2d(&b, n, &b); - mp_to64(&a, buf); - printf("mul2d\n"); - printf("%s\n", buf); - printf("%d\n", n); - mp_to64(&b, buf); - printf("%s\n", buf); - } else if (n == 6) { - /* div_2d test */ - rand_num(&a); - mp_copy(&a, &b); - n = fgetc(rng) & 63; - mp_div_2d(&b, n, &b, NULL); - mp_to64(&a, buf); - printf("div2d\n"); - printf("%s\n", buf); - printf("%d\n", n); - mp_to64(&b, buf); - printf("%s\n", buf); - } else if (n == 7) { - /* gcd test */ - rand_num(&a); - rand_num(&b); - a.sign = MP_ZPOS; - b.sign = MP_ZPOS; - mp_gcd(&a, &b, &c); - printf("gcd\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - mp_to64(&c, buf); - printf("%s\n", buf); - } else if (n == 8) { - /* lcm test */ - rand_num(&a); - rand_num(&b); - a.sign = MP_ZPOS; - b.sign = MP_ZPOS; - mp_lcm(&a, &b, &c); - printf("lcm\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - mp_to64(&c, buf); - printf("%s\n", buf); - } else if (n == 9) { - /* exptmod test */ - rand_num2(&a); - rand_num2(&b); - rand_num2(&c); -// if (c.dp[0]&1) mp_add_d(&c, 1, &c); - a.sign = b.sign = c.sign = 0; - mp_exptmod(&a, &b, &c, &d); - printf("expt\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - mp_to64(&c, buf); - printf("%s\n", buf); - mp_to64(&d, buf); - printf("%s\n", buf); - } else if (n == 10) { - /* invmod test */ - rand_num2(&a); - rand_num2(&b); - b.sign = MP_ZPOS; - a.sign = MP_ZPOS; - mp_gcd(&a, &b, &c); - if (mp_cmp_d(&c, 1) != 0) continue; - if (mp_cmp_d(&b, 1) == 0) continue; - mp_invmod(&a, &b, &c); - printf("invmod\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - mp_to64(&c, buf); - printf("%s\n", buf); - } else if (n == 11) { - rand_num(&a); - mp_mul_2(&a, &a); - mp_div_2(&a, &b); - printf("div2\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - } else if (n == 12) { - rand_num2(&a); - mp_mul_2(&a, &b); - printf("mul2\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - } else if (n == 13) { - rand_num2(&a); - tmp = abs(rand()) & THE_MASK; - mp_add_d(&a, tmp, &b); - printf("add_d\n"); - mp_to64(&a, buf); - printf("%s\n%d\n", buf, tmp); - mp_to64(&b, buf); - printf("%s\n", buf); - } else if (n == 14) { - rand_num2(&a); - tmp = abs(rand()) & THE_MASK; - mp_sub_d(&a, tmp, &b); - printf("sub_d\n"); - mp_to64(&a, buf); - printf("%s\n%d\n", buf, tmp); - mp_to64(&b, buf); - printf("%s\n", buf); - } - } - fclose(rng); - return 0; -} diff --git a/libtommath/pics/design_process.sxd b/libtommath/pics/design_process.sxd deleted file mode 100644 index 7414dbb..0000000 Binary files a/libtommath/pics/design_process.sxd and /dev/null differ diff --git a/libtommath/pics/design_process.tif b/libtommath/pics/design_process.tif deleted file mode 100644 index 4a0c012..0000000 Binary files a/libtommath/pics/design_process.tif and /dev/null differ diff --git a/libtommath/pics/expt_state.sxd b/libtommath/pics/expt_state.sxd deleted file mode 100644 index 6518404..0000000 Binary files a/libtommath/pics/expt_state.sxd and /dev/null differ diff --git a/libtommath/pics/expt_state.tif b/libtommath/pics/expt_state.tif deleted file mode 100644 index 0aaee39..0000000 Binary files a/libtommath/pics/expt_state.tif and /dev/null differ diff --git a/libtommath/pics/makefile b/libtommath/pics/makefile deleted file mode 100644 index 3ecb02f..0000000 --- a/libtommath/pics/makefile +++ /dev/null @@ -1,35 +0,0 @@ -# makes the images... yeah - -default: pses - -design_process.ps: design_process.tif - tiff2ps -s -e design_process.tif > design_process.ps - -sliding_window.ps: sliding_window.tif - tiff2ps -s -e sliding_window.tif > sliding_window.ps - -expt_state.ps: expt_state.tif - tiff2ps -s -e expt_state.tif > expt_state.ps - -primality.ps: primality.tif - tiff2ps -s -e primality.tif > primality.ps - -design_process.pdf: design_process.ps - epstopdf design_process.ps - -sliding_window.pdf: sliding_window.ps - epstopdf sliding_window.ps - -expt_state.pdf: expt_state.ps - epstopdf expt_state.ps - -primality.pdf: primality.ps - epstopdf primality.ps - - -pses: sliding_window.ps expt_state.ps primality.ps design_process.ps -pdfes: sliding_window.pdf expt_state.pdf primality.pdf design_process.pdf - -clean: - rm -rf *.ps *.pdf .xvpics - \ No newline at end of file diff --git a/libtommath/pics/primality.tif b/libtommath/pics/primality.tif deleted file mode 100644 index 83aafe0..0000000 Binary files a/libtommath/pics/primality.tif and /dev/null differ diff --git a/libtommath/pics/radix.sxd b/libtommath/pics/radix.sxd deleted file mode 100644 index b9eb9a0..0000000 Binary files a/libtommath/pics/radix.sxd and /dev/null differ diff --git a/libtommath/pics/sliding_window.sxd b/libtommath/pics/sliding_window.sxd deleted file mode 100644 index 91e7c0d..0000000 Binary files a/libtommath/pics/sliding_window.sxd and /dev/null differ diff --git a/libtommath/pics/sliding_window.tif b/libtommath/pics/sliding_window.tif deleted file mode 100644 index bb4cb96..0000000 Binary files a/libtommath/pics/sliding_window.tif and /dev/null differ diff --git a/libtommath/poster.out b/libtommath/poster.out deleted file mode 100644 index e69de29..0000000 diff --git a/libtommath/poster.pdf b/libtommath/poster.pdf deleted file mode 100644 index 1f705cf..0000000 Binary files a/libtommath/poster.pdf and /dev/null differ diff --git a/libtommath/pre_gen/mpi.c b/libtommath/pre_gen/mpi.c deleted file mode 100644 index d2224c0..0000000 --- a/libtommath/pre_gen/mpi.c +++ /dev/null @@ -1,9048 +0,0 @@ -/* Start: bn_error.c */ -#include -#ifdef BN_ERROR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -static const struct { - int code; - char *msg; -} msgs[] = { - { MP_OKAY, "Successful" }, - { MP_MEM, "Out of heap" }, - { MP_VAL, "Value out of range" } -}; - -/* return a char * string for a given code */ -char *mp_error_to_string(int code) -{ - int x; - - /* scan the lookup table for the given message */ - for (x = 0; x < (int)(sizeof(msgs) / sizeof(msgs[0])); x++) { - if (msgs[x].code == code) { - return msgs[x].msg; - } - } - - /* generic reply for invalid code */ - return "Invalid error code"; -} - -#endif - -/* End: bn_error.c */ - -/* Start: bn_fast_mp_invmod.c */ -#include -#ifdef BN_FAST_MP_INVMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* computes the modular inverse via binary extended euclidean algorithm, - * that is c = 1/a mod b - * - * Based on slow invmod except this is optimized for the case where b is - * odd as per HAC Note 14.64 on pp. 610 - */ -int fast_mp_invmod (mp_int * a, mp_int * b, mp_int * c) -{ - mp_int x, y, u, v, B, D; - int res, neg; - - /* 2. [modified] b must be odd */ - if (mp_iseven (b) == 1) { - return MP_VAL; - } - - /* init all our temps */ - if ((res = mp_init_multi(&x, &y, &u, &v, &B, &D, NULL)) != MP_OKAY) { - return res; - } - - /* x == modulus, y == value to invert */ - if ((res = mp_copy (b, &x)) != MP_OKAY) { - goto LBL_ERR; - } - - /* we need y = |a| */ - if ((res = mp_mod (a, b, &y)) != MP_OKAY) { - goto LBL_ERR; - } - - /* 3. u=x, v=y, A=1, B=0, C=0,D=1 */ - if ((res = mp_copy (&x, &u)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_copy (&y, &v)) != MP_OKAY) { - goto LBL_ERR; - } - mp_set (&D, 1); - -top: - /* 4. while u is even do */ - while (mp_iseven (&u) == 1) { - /* 4.1 u = u/2 */ - if ((res = mp_div_2 (&u, &u)) != MP_OKAY) { - goto LBL_ERR; - } - /* 4.2 if B is odd then */ - if (mp_isodd (&B) == 1) { - if ((res = mp_sub (&B, &x, &B)) != MP_OKAY) { - goto LBL_ERR; - } - } - /* B = B/2 */ - if ((res = mp_div_2 (&B, &B)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* 5. while v is even do */ - while (mp_iseven (&v) == 1) { - /* 5.1 v = v/2 */ - if ((res = mp_div_2 (&v, &v)) != MP_OKAY) { - goto LBL_ERR; - } - /* 5.2 if D is odd then */ - if (mp_isodd (&D) == 1) { - /* D = (D-x)/2 */ - if ((res = mp_sub (&D, &x, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - /* D = D/2 */ - if ((res = mp_div_2 (&D, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* 6. if u >= v then */ - if (mp_cmp (&u, &v) != MP_LT) { - /* u = u - v, B = B - D */ - if ((res = mp_sub (&u, &v, &u)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_sub (&B, &D, &B)) != MP_OKAY) { - goto LBL_ERR; - } - } else { - /* v - v - u, D = D - B */ - if ((res = mp_sub (&v, &u, &v)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_sub (&D, &B, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* if not zero goto step 4 */ - if (mp_iszero (&u) == 0) { - goto top; - } - - /* now a = C, b = D, gcd == g*v */ - - /* if v != 1 then there is no inverse */ - if (mp_cmp_d (&v, 1) != MP_EQ) { - res = MP_VAL; - goto LBL_ERR; - } - - /* b is now the inverse */ - neg = a->sign; - while (D.sign == MP_NEG) { - if ((res = mp_add (&D, b, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - mp_exch (&D, c); - c->sign = neg; - res = MP_OKAY; - -LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &B, &D, NULL); - return res; -} -#endif - -/* End: bn_fast_mp_invmod.c */ - -/* Start: bn_fast_mp_montgomery_reduce.c */ -#include -#ifdef BN_FAST_MP_MONTGOMERY_REDUCE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* computes xR**-1 == x (mod N) via Montgomery Reduction - * - * This is an optimized implementation of montgomery_reduce - * which uses the comba method to quickly calculate the columns of the - * reduction. - * - * Based on Algorithm 14.32 on pp.601 of HAC. -*/ -int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) -{ - int ix, res, olduse; - mp_word W[MP_WARRAY]; - - /* get old used count */ - olduse = x->used; - - /* grow a as required */ - if (x->alloc < n->used + 1) { - if ((res = mp_grow (x, n->used + 1)) != MP_OKAY) { - return res; - } - } - - /* first we have to get the digits of the input into - * an array of double precision words W[...] - */ - { - register mp_word *_W; - register mp_digit *tmpx; - - /* alias for the W[] array */ - _W = W; - - /* alias for the digits of x*/ - tmpx = x->dp; - - /* copy the digits of a into W[0..a->used-1] */ - for (ix = 0; ix < x->used; ix++) { - *_W++ = *tmpx++; - } - - /* zero the high words of W[a->used..m->used*2] */ - for (; ix < n->used * 2 + 1; ix++) { - *_W++ = 0; - } - } - - /* now we proceed to zero successive digits - * from the least significant upwards - */ - for (ix = 0; ix < n->used; ix++) { - /* mu = ai * m' mod b - * - * We avoid a double precision multiplication (which isn't required) - * by casting the value down to a mp_digit. Note this requires - * that W[ix-1] have the carry cleared (see after the inner loop) - */ - register mp_digit mu; - mu = (mp_digit) (((W[ix] & MP_MASK) * rho) & MP_MASK); - - /* a = a + mu * m * b**i - * - * This is computed in place and on the fly. The multiplication - * by b**i is handled by offseting which columns the results - * are added to. - * - * Note the comba method normally doesn't handle carries in the - * inner loop In this case we fix the carry from the previous - * column since the Montgomery reduction requires digits of the - * result (so far) [see above] to work. This is - * handled by fixing up one carry after the inner loop. The - * carry fixups are done in order so after these loops the - * first m->used words of W[] have the carries fixed - */ - { - register int iy; - register mp_digit *tmpn; - register mp_word *_W; - - /* alias for the digits of the modulus */ - tmpn = n->dp; - - /* Alias for the columns set by an offset of ix */ - _W = W + ix; - - /* inner loop */ - for (iy = 0; iy < n->used; iy++) { - *_W++ += ((mp_word)mu) * ((mp_word)*tmpn++); - } - } - - /* now fix carry for next digit, W[ix+1] */ - W[ix + 1] += W[ix] >> ((mp_word) DIGIT_BIT); - } - - /* now we have to propagate the carries and - * shift the words downward [all those least - * significant digits we zeroed]. - */ - { - register mp_digit *tmpx; - register mp_word *_W, *_W1; - - /* nox fix rest of carries */ - - /* alias for current word */ - _W1 = W + ix; - - /* alias for next word, where the carry goes */ - _W = W + ++ix; - - for (; ix <= n->used * 2 + 1; ix++) { - *_W++ += *_W1++ >> ((mp_word) DIGIT_BIT); - } - - /* copy out, A = A/b**n - * - * The result is A/b**n but instead of converting from an - * array of mp_word to mp_digit than calling mp_rshd - * we just copy them in the right order - */ - - /* alias for destination word */ - tmpx = x->dp; - - /* alias for shifted double precision result */ - _W = W + n->used; - - for (ix = 0; ix < n->used + 1; ix++) { - *tmpx++ = (mp_digit)(*_W++ & ((mp_word) MP_MASK)); - } - - /* zero oldused digits, if the input a was larger than - * m->used+1 we'll have to clear the digits - */ - for (; ix < olduse; ix++) { - *tmpx++ = 0; - } - } - - /* set the max used and clamp */ - x->used = n->used + 1; - mp_clamp (x); - - /* if A >= m then A = A - m */ - if (mp_cmp_mag (x, n) != MP_LT) { - return s_mp_sub (x, n, x); - } - return MP_OKAY; -} -#endif - -/* End: bn_fast_mp_montgomery_reduce.c */ - -/* Start: bn_fast_s_mp_mul_digs.c */ -#include -#ifdef BN_FAST_S_MP_MUL_DIGS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* Fast (comba) multiplier - * - * This is the fast column-array [comba] multiplier. It is - * designed to compute the columns of the product first - * then handle the carries afterwards. This has the effect - * of making the nested loops that compute the columns very - * simple and schedulable on super-scalar processors. - * - * This has been modified to produce a variable number of - * digits of output so if say only a half-product is required - * you don't have to compute the upper half (a feature - * required for fast Barrett reduction). - * - * Based on Algorithm 14.12 on pp.595 of HAC. - * - */ -int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) -{ - int olduse, res, pa, ix, iz; - mp_digit W[MP_WARRAY]; - register mp_word _W; - - /* grow the destination as required */ - if (c->alloc < digs) { - if ((res = mp_grow (c, digs)) != MP_OKAY) { - return res; - } - } - - /* number of output digits to produce */ - pa = MIN(digs, a->used + b->used); - - /* clear the carry */ - _W = 0; - for (ix = 0; ix < pa; ix++) { - int tx, ty; - int iy; - mp_digit *tmpx, *tmpy; - - /* get offsets into the two bignums */ - ty = MIN(b->used-1, ix); - tx = ix - ty; - - /* setup temp aliases */ - tmpx = a->dp + tx; - tmpy = b->dp + ty; - - /* this is the number of times the loop will iterrate, essentially - while (tx++ < a->used && ty-- >= 0) { ... } - */ - iy = MIN(a->used-tx, ty+1); - - /* execute loop */ - for (iz = 0; iz < iy; ++iz) { - _W += ((mp_word)*tmpx++)*((mp_word)*tmpy--); - - } - - /* store term */ - W[ix] = ((mp_digit)_W) & MP_MASK; - - /* make next carry */ - _W = _W >> ((mp_word)DIGIT_BIT); - } - - /* setup dest */ - olduse = c->used; - c->used = pa; - - { - register mp_digit *tmpc; - tmpc = c->dp; - for (ix = 0; ix < pa+1; ix++) { - /* now extract the previous digit [below the carry] */ - *tmpc++ = W[ix]; - } - - /* clear unused digits [that existed in the old copy of c] */ - for (; ix < olduse; ix++) { - *tmpc++ = 0; - } - } - mp_clamp (c); - return MP_OKAY; -} -#endif - -/* End: bn_fast_s_mp_mul_digs.c */ - -/* Start: bn_fast_s_mp_mul_high_digs.c */ -#include -#ifdef BN_FAST_S_MP_MUL_HIGH_DIGS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* this is a modified version of fast_s_mul_digs that only produces - * output digits *above* digs. See the comments for fast_s_mul_digs - * to see how it works. - * - * This is used in the Barrett reduction since for one of the multiplications - * only the higher digits were needed. This essentially halves the work. - * - * Based on Algorithm 14.12 on pp.595 of HAC. - */ -int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) -{ - int olduse, res, pa, ix, iz; - mp_digit W[MP_WARRAY]; - mp_word _W; - - /* grow the destination as required */ - pa = a->used + b->used; - if (c->alloc < pa) { - if ((res = mp_grow (c, pa)) != MP_OKAY) { - return res; - } - } - - /* number of output digits to produce */ - pa = a->used + b->used; - _W = 0; - for (ix = digs; ix < pa; ix++) { - int tx, ty, iy; - mp_digit *tmpx, *tmpy; - - /* get offsets into the two bignums */ - ty = MIN(b->used-1, ix); - tx = ix - ty; - - /* setup temp aliases */ - tmpx = a->dp + tx; - tmpy = b->dp + ty; - - /* this is the number of times the loop will iterrate, essentially its - while (tx++ < a->used && ty-- >= 0) { ... } - */ - iy = MIN(a->used-tx, ty+1); - - /* execute loop */ - for (iz = 0; iz < iy; iz++) { - _W += ((mp_word)*tmpx++)*((mp_word)*tmpy--); - } - - /* store term */ - W[ix] = ((mp_digit)_W) & MP_MASK; - - /* make next carry */ - _W = _W >> ((mp_word)DIGIT_BIT); - } - - /* setup dest */ - olduse = c->used; - c->used = pa; - - { - register mp_digit *tmpc; - - tmpc = c->dp + digs; - for (ix = digs; ix < pa; ix++) { - /* now extract the previous digit [below the carry] */ - *tmpc++ = W[ix]; - } - - /* clear unused digits [that existed in the old copy of c] */ - for (; ix < olduse; ix++) { - *tmpc++ = 0; - } - } - mp_clamp (c); - return MP_OKAY; -} -#endif - -/* End: bn_fast_s_mp_mul_high_digs.c */ - -/* Start: bn_fast_s_mp_sqr.c */ -#include -#ifdef BN_FAST_S_MP_SQR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* the jist of squaring... - * you do like mult except the offset of the tmpx [one that - * starts closer to zero] can't equal the offset of tmpy. - * So basically you set up iy like before then you min it with - * (ty-tx) so that it never happens. You double all those - * you add in the inner loop - -After that loop you do the squares and add them in. -*/ - -int fast_s_mp_sqr (mp_int * a, mp_int * b) -{ - int olduse, res, pa, ix, iz; - mp_digit W[MP_WARRAY], *tmpx; - mp_word W1; - - /* grow the destination as required */ - pa = a->used + a->used; - if (b->alloc < pa) { - if ((res = mp_grow (b, pa)) != MP_OKAY) { - return res; - } - } - - /* number of output digits to produce */ - W1 = 0; - for (ix = 0; ix < pa; ix++) { - int tx, ty, iy; - mp_word _W; - mp_digit *tmpy; - - /* clear counter */ - _W = 0; - - /* get offsets into the two bignums */ - ty = MIN(a->used-1, ix); - tx = ix - ty; - - /* setup temp aliases */ - tmpx = a->dp + tx; - tmpy = a->dp + ty; - - /* this is the number of times the loop will iterrate, essentially - while (tx++ < a->used && ty-- >= 0) { ... } - */ - iy = MIN(a->used-tx, ty+1); - - /* now for squaring tx can never equal ty - * we halve the distance since they approach at a rate of 2x - * and we have to round because odd cases need to be executed - */ - iy = MIN(iy, (ty-tx+1)>>1); - - /* execute loop */ - for (iz = 0; iz < iy; iz++) { - _W += ((mp_word)*tmpx++)*((mp_word)*tmpy--); - } - - /* double the inner product and add carry */ - _W = _W + _W + W1; - - /* even columns have the square term in them */ - if ((ix&1) == 0) { - _W += ((mp_word)a->dp[ix>>1])*((mp_word)a->dp[ix>>1]); - } - - /* store it */ - W[ix] = (mp_digit)(_W & MP_MASK); - - /* make next carry */ - W1 = _W >> ((mp_word)DIGIT_BIT); - } - - /* setup dest */ - olduse = b->used; - b->used = a->used+a->used; - - { - mp_digit *tmpb; - tmpb = b->dp; - for (ix = 0; ix < pa; ix++) { - *tmpb++ = W[ix] & MP_MASK; - } - - /* clear unused digits [that existed in the old copy of c] */ - for (; ix < olduse; ix++) { - *tmpb++ = 0; - } - } - mp_clamp (b); - return MP_OKAY; -} -#endif - -/* End: bn_fast_s_mp_sqr.c */ - -/* Start: bn_mp_2expt.c */ -#include -#ifdef BN_MP_2EXPT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* computes a = 2**b - * - * Simple algorithm which zeroes the int, grows it then just sets one bit - * as required. - */ -int -mp_2expt (mp_int * a, int b) -{ - int res; - - /* zero a as per default */ - mp_zero (a); - - /* grow a to accomodate the single bit */ - if ((res = mp_grow (a, b / DIGIT_BIT + 1)) != MP_OKAY) { - return res; - } - - /* set the used count of where the bit will go */ - a->used = b / DIGIT_BIT + 1; - - /* put the single bit in its place */ - a->dp[b / DIGIT_BIT] = ((mp_digit)1) << (b % DIGIT_BIT); - - return MP_OKAY; -} -#endif - -/* End: bn_mp_2expt.c */ - -/* Start: bn_mp_abs.c */ -#include -#ifdef BN_MP_ABS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* b = |a| - * - * Simple function copies the input and fixes the sign to positive - */ -int -mp_abs (mp_int * a, mp_int * b) -{ - int res; - - /* copy a to b */ - if (a != b) { - if ((res = mp_copy (a, b)) != MP_OKAY) { - return res; - } - } - - /* force the sign of b to positive */ - b->sign = MP_ZPOS; - - return MP_OKAY; -} -#endif - -/* End: bn_mp_abs.c */ - -/* Start: bn_mp_add.c */ -#include -#ifdef BN_MP_ADD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* high level addition (handles signs) */ -int mp_add (mp_int * a, mp_int * b, mp_int * c) -{ - int sa, sb, res; - - /* get sign of both inputs */ - sa = a->sign; - sb = b->sign; - - /* handle two cases, not four */ - if (sa == sb) { - /* both positive or both negative */ - /* add their magnitudes, copy the sign */ - c->sign = sa; - res = s_mp_add (a, b, c); - } else { - /* one positive, the other negative */ - /* subtract the one with the greater magnitude from */ - /* the one of the lesser magnitude. The result gets */ - /* the sign of the one with the greater magnitude. */ - if (mp_cmp_mag (a, b) == MP_LT) { - c->sign = sb; - res = s_mp_sub (b, a, c); - } else { - c->sign = sa; - res = s_mp_sub (a, b, c); - } - } - return res; -} - -#endif - -/* End: bn_mp_add.c */ - -/* Start: bn_mp_add_d.c */ -#include -#ifdef BN_MP_ADD_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* single digit addition */ -int -mp_add_d (mp_int * a, mp_digit b, mp_int * c) -{ - int res, ix, oldused; - mp_digit *tmpa, *tmpc, mu; - - /* grow c as required */ - if (c->alloc < a->used + 1) { - if ((res = mp_grow(c, a->used + 1)) != MP_OKAY) { - return res; - } - } - - /* if a is negative and |a| >= b, call c = |a| - b */ - if (a->sign == MP_NEG && (a->used > 1 || a->dp[0] >= b)) { - /* temporarily fix sign of a */ - a->sign = MP_ZPOS; - - /* c = |a| - b */ - res = mp_sub_d(a, b, c); - - /* fix sign */ - a->sign = c->sign = MP_NEG; - - /* clamp */ - mp_clamp(c); - - return res; - } - - /* old number of used digits in c */ - oldused = c->used; - - /* sign always positive */ - c->sign = MP_ZPOS; - - /* source alias */ - tmpa = a->dp; - - /* destination alias */ - tmpc = c->dp; - - /* if a is positive */ - if (a->sign == MP_ZPOS) { - /* add digit, after this we're propagating - * the carry. - */ - *tmpc = *tmpa++ + b; - mu = *tmpc >> DIGIT_BIT; - *tmpc++ &= MP_MASK; - - /* now handle rest of the digits */ - for (ix = 1; ix < a->used; ix++) { - *tmpc = *tmpa++ + mu; - mu = *tmpc >> DIGIT_BIT; - *tmpc++ &= MP_MASK; - } - /* set final carry */ - ix++; - *tmpc++ = mu; - - /* setup size */ - c->used = a->used + 1; - } else { - /* a was negative and |a| < b */ - c->used = 1; - - /* the result is a single digit */ - if (a->used == 1) { - *tmpc++ = b - a->dp[0]; - } else { - *tmpc++ = b; - } - - /* setup count so the clearing of oldused - * can fall through correctly - */ - ix = 1; - } - - /* now zero to oldused */ - while (ix++ < oldused) { - *tmpc++ = 0; - } - mp_clamp(c); - - return MP_OKAY; -} - -#endif - -/* End: bn_mp_add_d.c */ - -/* Start: bn_mp_addmod.c */ -#include -#ifdef BN_MP_ADDMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* d = a + b (mod c) */ -int -mp_addmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) -{ - int res; - mp_int t; - - if ((res = mp_init (&t)) != MP_OKAY) { - return res; - } - - if ((res = mp_add (a, b, &t)) != MP_OKAY) { - mp_clear (&t); - return res; - } - res = mp_mod (&t, c, d); - mp_clear (&t); - return res; -} -#endif - -/* End: bn_mp_addmod.c */ - -/* Start: bn_mp_and.c */ -#include -#ifdef BN_MP_AND_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* AND two ints together */ -int -mp_and (mp_int * a, mp_int * b, mp_int * c) -{ - int res, ix, px; - mp_int t, *x; - - if (a->used > b->used) { - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - px = b->used; - x = b; - } else { - if ((res = mp_init_copy (&t, b)) != MP_OKAY) { - return res; - } - px = a->used; - x = a; - } - - for (ix = 0; ix < px; ix++) { - t.dp[ix] &= x->dp[ix]; - } - - /* zero digits above the last from the smallest mp_int */ - for (; ix < t.used; ix++) { - t.dp[ix] = 0; - } - - mp_clamp (&t); - mp_exch (c, &t); - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* End: bn_mp_and.c */ - -/* Start: bn_mp_clamp.c */ -#include -#ifdef BN_MP_CLAMP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* trim unused digits - * - * This is used to ensure that leading zero digits are - * trimed and the leading "used" digit will be non-zero - * Typically very fast. Also fixes the sign if there - * are no more leading digits - */ -void -mp_clamp (mp_int * a) -{ - /* decrease used while the most significant digit is - * zero. - */ - while (a->used > 0 && a->dp[a->used - 1] == 0) { - --(a->used); - } - - /* reset the sign flag if used == 0 */ - if (a->used == 0) { - a->sign = MP_ZPOS; - } -} -#endif - -/* End: bn_mp_clamp.c */ - -/* Start: bn_mp_clear.c */ -#include -#ifdef BN_MP_CLEAR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* clear one (frees) */ -void -mp_clear (mp_int * a) -{ - int i; - - /* only do anything if a hasn't been freed previously */ - if (a->dp != NULL) { - /* first zero the digits */ - for (i = 0; i < a->used; i++) { - a->dp[i] = 0; - } - - /* free ram */ - XFREE(a->dp); - - /* reset members to make debugging easier */ - a->dp = NULL; - a->alloc = a->used = 0; - a->sign = MP_ZPOS; - } -} -#endif - -/* End: bn_mp_clear.c */ - -/* Start: bn_mp_clear_multi.c */ -#include -#ifdef BN_MP_CLEAR_MULTI_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ -#include - -void mp_clear_multi(mp_int *mp, ...) -{ - mp_int* next_mp = mp; - va_list args; - va_start(args, mp); - while (next_mp != NULL) { - mp_clear(next_mp); - next_mp = va_arg(args, mp_int*); - } - va_end(args); -} -#endif - -/* End: bn_mp_clear_multi.c */ - -/* Start: bn_mp_cmp.c */ -#include -#ifdef BN_MP_CMP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* compare two ints (signed)*/ -int -mp_cmp (mp_int * a, mp_int * b) -{ - /* compare based on sign */ - if (a->sign != b->sign) { - if (a->sign == MP_NEG) { - return MP_LT; - } else { - return MP_GT; - } - } - - /* compare digits */ - if (a->sign == MP_NEG) { - /* if negative compare opposite direction */ - return mp_cmp_mag(b, a); - } else { - return mp_cmp_mag(a, b); - } -} -#endif - -/* End: bn_mp_cmp.c */ - -/* Start: bn_mp_cmp_d.c */ -#include -#ifdef BN_MP_CMP_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* compare a digit */ -int mp_cmp_d(mp_int * a, mp_digit b) -{ - /* compare based on sign */ - if (a->sign == MP_NEG) { - return MP_LT; - } - - /* compare based on magnitude */ - if (a->used > 1) { - return MP_GT; - } - - /* compare the only digit of a to b */ - if (a->dp[0] > b) { - return MP_GT; - } else if (a->dp[0] < b) { - return MP_LT; - } else { - return MP_EQ; - } -} -#endif - -/* End: bn_mp_cmp_d.c */ - -/* Start: bn_mp_cmp_mag.c */ -#include -#ifdef BN_MP_CMP_MAG_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* compare maginitude of two ints (unsigned) */ -int mp_cmp_mag (mp_int * a, mp_int * b) -{ - int n; - mp_digit *tmpa, *tmpb; - - /* compare based on # of non-zero digits */ - if (a->used > b->used) { - return MP_GT; - } - - if (a->used < b->used) { - return MP_LT; - } - - /* alias for a */ - tmpa = a->dp + (a->used - 1); - - /* alias for b */ - tmpb = b->dp + (a->used - 1); - - /* compare based on digits */ - for (n = 0; n < a->used; ++n, --tmpa, --tmpb) { - if (*tmpa > *tmpb) { - return MP_GT; - } - - if (*tmpa < *tmpb) { - return MP_LT; - } - } - return MP_EQ; -} -#endif - -/* End: bn_mp_cmp_mag.c */ - -/* Start: bn_mp_cnt_lsb.c */ -#include -#ifdef BN_MP_CNT_LSB_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -static const int lnz[16] = { - 4, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0 -}; - -/* Counts the number of lsbs which are zero before the first zero bit */ -int mp_cnt_lsb(mp_int *a) -{ - int x; - mp_digit q, qq; - - /* easy out */ - if (mp_iszero(a) == 1) { - return 0; - } - - /* scan lower digits until non-zero */ - for (x = 0; x < a->used && a->dp[x] == 0; x++); - q = a->dp[x]; - x *= DIGIT_BIT; - - /* now scan this digit until a 1 is found */ - if ((q & 1) == 0) { - do { - qq = q & 15; - x += lnz[qq]; - q >>= 4; - } while (qq == 0); - } - return x; -} - -#endif - -/* End: bn_mp_cnt_lsb.c */ - -/* Start: bn_mp_copy.c */ -#include -#ifdef BN_MP_COPY_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* copy, b = a */ -int -mp_copy (mp_int * a, mp_int * b) -{ - int res, n; - - /* if dst == src do nothing */ - if (a == b) { - return MP_OKAY; - } - - /* grow dest */ - if (b->alloc < a->used) { - if ((res = mp_grow (b, a->used)) != MP_OKAY) { - return res; - } - } - - /* zero b and copy the parameters over */ - { - register mp_digit *tmpa, *tmpb; - - /* pointer aliases */ - - /* source */ - tmpa = a->dp; - - /* destination */ - tmpb = b->dp; - - /* copy all the digits */ - for (n = 0; n < a->used; n++) { - *tmpb++ = *tmpa++; - } - - /* clear high digits */ - for (; n < b->used; n++) { - *tmpb++ = 0; - } - } - - /* copy used count and sign */ - b->used = a->used; - b->sign = a->sign; - return MP_OKAY; -} -#endif - -/* End: bn_mp_copy.c */ - -/* Start: bn_mp_count_bits.c */ -#include -#ifdef BN_MP_COUNT_BITS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* returns the number of bits in an int */ -int -mp_count_bits (mp_int * a) -{ - int r; - mp_digit q; - - /* shortcut */ - if (a->used == 0) { - return 0; - } - - /* get number of digits and add that */ - r = (a->used - 1) * DIGIT_BIT; - - /* take the last digit and count the bits in it */ - q = a->dp[a->used - 1]; - while (q > ((mp_digit) 0)) { - ++r; - q >>= ((mp_digit) 1); - } - return r; -} -#endif - -/* End: bn_mp_count_bits.c */ - -/* Start: bn_mp_div.c */ -#include -#ifdef BN_MP_DIV_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -#ifdef BN_MP_DIV_SMALL - -/* slower bit-bang division... also smaller */ -int mp_div(mp_int * a, mp_int * b, mp_int * c, mp_int * d) -{ - mp_int ta, tb, tq, q; - int res, n, n2; - - /* is divisor zero ? */ - if (mp_iszero (b) == 1) { - return MP_VAL; - } - - /* if a < b then q=0, r = a */ - if (mp_cmp_mag (a, b) == MP_LT) { - if (d != NULL) { - res = mp_copy (a, d); - } else { - res = MP_OKAY; - } - if (c != NULL) { - mp_zero (c); - } - return res; - } - - /* init our temps */ - if ((res = mp_init_multi(&ta, &tb, &tq, &q, NULL) != MP_OKAY)) { - return res; - } - - - mp_set(&tq, 1); - n = mp_count_bits(a) - mp_count_bits(b); - if (((res = mp_abs(a, &ta)) != MP_OKAY) || - ((res = mp_abs(b, &tb)) != MP_OKAY) || - ((res = mp_mul_2d(&tb, n, &tb)) != MP_OKAY) || - ((res = mp_mul_2d(&tq, n, &tq)) != MP_OKAY)) { - goto LBL_ERR; - } - - while (n-- >= 0) { - if (mp_cmp(&tb, &ta) != MP_GT) { - if (((res = mp_sub(&ta, &tb, &ta)) != MP_OKAY) || - ((res = mp_add(&q, &tq, &q)) != MP_OKAY)) { - goto LBL_ERR; - } - } - if (((res = mp_div_2d(&tb, 1, &tb, NULL)) != MP_OKAY) || - ((res = mp_div_2d(&tq, 1, &tq, NULL)) != MP_OKAY)) { - goto LBL_ERR; - } - } - - /* now q == quotient and ta == remainder */ - n = a->sign; - n2 = (a->sign == b->sign ? MP_ZPOS : MP_NEG); - if (c != NULL) { - mp_exch(c, &q); - c->sign = (mp_iszero(c) == MP_YES) ? MP_ZPOS : n2; - } - if (d != NULL) { - mp_exch(d, &ta); - d->sign = (mp_iszero(d) == MP_YES) ? MP_ZPOS : n; - } -LBL_ERR: - mp_clear_multi(&ta, &tb, &tq, &q, NULL); - return res; -} - -#else - -/* integer signed division. - * c*b + d == a [e.g. a/b, c=quotient, d=remainder] - * HAC pp.598 Algorithm 14.20 - * - * Note that the description in HAC is horribly - * incomplete. For example, it doesn't consider - * the case where digits are removed from 'x' in - * the inner loop. It also doesn't consider the - * case that y has fewer than three digits, etc.. - * - * The overall algorithm is as described as - * 14.20 from HAC but fixed to treat these cases. -*/ -int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) -{ - mp_int q, x, y, t1, t2; - int res, n, t, i, norm, neg; - - /* is divisor zero ? */ - if (mp_iszero (b) == 1) { - return MP_VAL; - } - - /* if a < b then q=0, r = a */ - if (mp_cmp_mag (a, b) == MP_LT) { - if (d != NULL) { - res = mp_copy (a, d); - } else { - res = MP_OKAY; - } - if (c != NULL) { - mp_zero (c); - } - return res; - } - - if ((res = mp_init_size (&q, a->used + 2)) != MP_OKAY) { - return res; - } - q.used = a->used + 2; - - if ((res = mp_init (&t1)) != MP_OKAY) { - goto LBL_Q; - } - - if ((res = mp_init (&t2)) != MP_OKAY) { - goto LBL_T1; - } - - if ((res = mp_init_copy (&x, a)) != MP_OKAY) { - goto LBL_T2; - } - - if ((res = mp_init_copy (&y, b)) != MP_OKAY) { - goto LBL_X; - } - - /* fix the sign */ - neg = (a->sign == b->sign) ? MP_ZPOS : MP_NEG; - x.sign = y.sign = MP_ZPOS; - - /* normalize both x and y, ensure that y >= b/2, [b == 2**DIGIT_BIT] */ - norm = mp_count_bits(&y) % DIGIT_BIT; - if (norm < (int)(DIGIT_BIT-1)) { - norm = (DIGIT_BIT-1) - norm; - if ((res = mp_mul_2d (&x, norm, &x)) != MP_OKAY) { - goto LBL_Y; - } - if ((res = mp_mul_2d (&y, norm, &y)) != MP_OKAY) { - goto LBL_Y; - } - } else { - norm = 0; - } - - /* note hac does 0 based, so if used==5 then its 0,1,2,3,4, e.g. use 4 */ - n = x.used - 1; - t = y.used - 1; - - /* while (x >= y*b**n-t) do { q[n-t] += 1; x -= y*b**{n-t} } */ - if ((res = mp_lshd (&y, n - t)) != MP_OKAY) { /* y = y*b**{n-t} */ - goto LBL_Y; - } - - while (mp_cmp (&x, &y) != MP_LT) { - ++(q.dp[n - t]); - if ((res = mp_sub (&x, &y, &x)) != MP_OKAY) { - goto LBL_Y; - } - } - - /* reset y by shifting it back down */ - mp_rshd (&y, n - t); - - /* step 3. for i from n down to (t + 1) */ - for (i = n; i >= (t + 1); i--) { - if (i > x.used) { - continue; - } - - /* step 3.1 if xi == yt then set q{i-t-1} to b-1, - * otherwise set q{i-t-1} to (xi*b + x{i-1})/yt */ - if (x.dp[i] == y.dp[t]) { - q.dp[i - t - 1] = ((((mp_digit)1) << DIGIT_BIT) - 1); - } else { - mp_word tmp; - tmp = ((mp_word) x.dp[i]) << ((mp_word) DIGIT_BIT); - tmp |= ((mp_word) x.dp[i - 1]); - tmp /= ((mp_word) y.dp[t]); - if (tmp > (mp_word) MP_MASK) - tmp = MP_MASK; - q.dp[i - t - 1] = (mp_digit) (tmp & (mp_word) (MP_MASK)); - } - - /* while (q{i-t-1} * (yt * b + y{t-1})) > - xi * b**2 + xi-1 * b + xi-2 - - do q{i-t-1} -= 1; - */ - q.dp[i - t - 1] = (q.dp[i - t - 1] + 1) & MP_MASK; - do { - q.dp[i - t - 1] = (q.dp[i - t - 1] - 1) & MP_MASK; - - /* find left hand */ - mp_zero (&t1); - t1.dp[0] = (t - 1 < 0) ? 0 : y.dp[t - 1]; - t1.dp[1] = y.dp[t]; - t1.used = 2; - if ((res = mp_mul_d (&t1, q.dp[i - t - 1], &t1)) != MP_OKAY) { - goto LBL_Y; - } - - /* find right hand */ - t2.dp[0] = (i - 2 < 0) ? 0 : x.dp[i - 2]; - t2.dp[1] = (i - 1 < 0) ? 0 : x.dp[i - 1]; - t2.dp[2] = x.dp[i]; - t2.used = 3; - } while (mp_cmp_mag(&t1, &t2) == MP_GT); - - /* step 3.3 x = x - q{i-t-1} * y * b**{i-t-1} */ - if ((res = mp_mul_d (&y, q.dp[i - t - 1], &t1)) != MP_OKAY) { - goto LBL_Y; - } - - if ((res = mp_lshd (&t1, i - t - 1)) != MP_OKAY) { - goto LBL_Y; - } - - if ((res = mp_sub (&x, &t1, &x)) != MP_OKAY) { - goto LBL_Y; - } - - /* if x < 0 then { x = x + y*b**{i-t-1}; q{i-t-1} -= 1; } */ - if (x.sign == MP_NEG) { - if ((res = mp_copy (&y, &t1)) != MP_OKAY) { - goto LBL_Y; - } - if ((res = mp_lshd (&t1, i - t - 1)) != MP_OKAY) { - goto LBL_Y; - } - if ((res = mp_add (&x, &t1, &x)) != MP_OKAY) { - goto LBL_Y; - } - - q.dp[i - t - 1] = (q.dp[i - t - 1] - 1UL) & MP_MASK; - } - } - - /* now q is the quotient and x is the remainder - * [which we have to normalize] - */ - - /* get sign before writing to c */ - x.sign = x.used == 0 ? MP_ZPOS : a->sign; - - if (c != NULL) { - mp_clamp (&q); - mp_exch (&q, c); - c->sign = neg; - } - - if (d != NULL) { - mp_div_2d (&x, norm, &x, NULL); - mp_exch (&x, d); - } - - res = MP_OKAY; - -LBL_Y:mp_clear (&y); -LBL_X:mp_clear (&x); -LBL_T2:mp_clear (&t2); -LBL_T1:mp_clear (&t1); -LBL_Q:mp_clear (&q); - return res; -} - -#endif - -#endif - -/* End: bn_mp_div.c */ - -/* Start: bn_mp_div_2.c */ -#include -#ifdef BN_MP_DIV_2_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* b = a/2 */ -int mp_div_2(mp_int * a, mp_int * b) -{ - int x, res, oldused; - - /* copy */ - if (b->alloc < a->used) { - if ((res = mp_grow (b, a->used)) != MP_OKAY) { - return res; - } - } - - oldused = b->used; - b->used = a->used; - { - register mp_digit r, rr, *tmpa, *tmpb; - - /* source alias */ - tmpa = a->dp + b->used - 1; - - /* dest alias */ - tmpb = b->dp + b->used - 1; - - /* carry */ - r = 0; - for (x = b->used - 1; x >= 0; x--) { - /* get the carry for the next iteration */ - rr = *tmpa & 1; - - /* shift the current digit, add in carry and store */ - *tmpb-- = (*tmpa-- >> 1) | (r << (DIGIT_BIT - 1)); - - /* forward carry to next iteration */ - r = rr; - } - - /* zero excess digits */ - tmpb = b->dp + b->used; - for (x = b->used; x < oldused; x++) { - *tmpb++ = 0; - } - } - b->sign = a->sign; - mp_clamp (b); - return MP_OKAY; -} -#endif - -/* End: bn_mp_div_2.c */ - -/* Start: bn_mp_div_2d.c */ -#include -#ifdef BN_MP_DIV_2D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* shift right by a certain bit count (store quotient in c, optional remainder in d) */ -int mp_div_2d (mp_int * a, int b, mp_int * c, mp_int * d) -{ - mp_digit D, r, rr; - int x, res; - mp_int t; - - - /* if the shift count is <= 0 then we do no work */ - if (b <= 0) { - res = mp_copy (a, c); - if (d != NULL) { - mp_zero (d); - } - return res; - } - - if ((res = mp_init (&t)) != MP_OKAY) { - return res; - } - - /* get the remainder */ - if (d != NULL) { - if ((res = mp_mod_2d (a, b, &t)) != MP_OKAY) { - mp_clear (&t); - return res; - } - } - - /* copy */ - if ((res = mp_copy (a, c)) != MP_OKAY) { - mp_clear (&t); - return res; - } - - /* shift by as many digits in the bit count */ - if (b >= (int)DIGIT_BIT) { - mp_rshd (c, b / DIGIT_BIT); - } - - /* shift any bit count < DIGIT_BIT */ - D = (mp_digit) (b % DIGIT_BIT); - if (D != 0) { - register mp_digit *tmpc, mask, shift; - - /* mask */ - mask = (((mp_digit)1) << D) - 1; - - /* shift for lsb */ - shift = DIGIT_BIT - D; - - /* alias */ - tmpc = c->dp + (c->used - 1); - - /* carry */ - r = 0; - for (x = c->used - 1; x >= 0; x--) { - /* get the lower bits of this word in a temp */ - rr = *tmpc & mask; - - /* shift the current word and mix in the carry bits from the previous word */ - *tmpc = (*tmpc >> D) | (r << shift); - --tmpc; - - /* set the carry to the carry bits of the current word found above */ - r = rr; - } - } - mp_clamp (c); - if (d != NULL) { - mp_exch (&t, d); - } - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* End: bn_mp_div_2d.c */ - -/* Start: bn_mp_div_3.c */ -#include -#ifdef BN_MP_DIV_3_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* divide by three (based on routine from MPI and the GMP manual) */ -int -mp_div_3 (mp_int * a, mp_int *c, mp_digit * d) -{ - mp_int q; - mp_word w, t; - mp_digit b; - int res, ix; - - /* b = 2**DIGIT_BIT / 3 */ - b = (((mp_word)1) << ((mp_word)DIGIT_BIT)) / ((mp_word)3); - - if ((res = mp_init_size(&q, a->used)) != MP_OKAY) { - return res; - } - - q.used = a->used; - q.sign = a->sign; - w = 0; - for (ix = a->used - 1; ix >= 0; ix--) { - w = (w << ((mp_word)DIGIT_BIT)) | ((mp_word)a->dp[ix]); - - if (w >= 3) { - /* multiply w by [1/3] */ - t = (w * ((mp_word)b)) >> ((mp_word)DIGIT_BIT); - - /* now subtract 3 * [w/3] from w, to get the remainder */ - w -= t+t+t; - - /* fixup the remainder as required since - * the optimization is not exact. - */ - while (w >= 3) { - t += 1; - w -= 3; - } - } else { - t = 0; - } - q.dp[ix] = (mp_digit)t; - } - - /* [optional] store the remainder */ - if (d != NULL) { - *d = (mp_digit)w; - } - - /* [optional] store the quotient */ - if (c != NULL) { - mp_clamp(&q); - mp_exch(&q, c); - } - mp_clear(&q); - - return res; -} - -#endif - -/* End: bn_mp_div_3.c */ - -/* Start: bn_mp_div_d.c */ -#include -#ifdef BN_MP_DIV_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -static int s_is_power_of_two(mp_digit b, int *p) -{ - int x; - - /* fast return if no power of two */ - if ((b==0) || (b & (b-1))) { - return 0; - } - - for (x = 0; x < DIGIT_BIT; x++) { - if (b == (((mp_digit)1)<dp[0] & ((((mp_digit)1)<used)) != MP_OKAY) { - return res; - } - - q.used = a->used; - q.sign = a->sign; - w = 0; - for (ix = a->used - 1; ix >= 0; ix--) { - w = (w << ((mp_word)DIGIT_BIT)) | ((mp_word)a->dp[ix]); - - if (w >= b) { - t = (mp_digit)(w / b); - w -= ((mp_word)t) * ((mp_word)b); - } else { - t = 0; - } - q.dp[ix] = (mp_digit)t; - } - - if (d != NULL) { - *d = (mp_digit)w; - } - - if (c != NULL) { - mp_clamp(&q); - mp_exch(&q, c); - } - mp_clear(&q); - - return res; -} - -#endif - -/* End: bn_mp_div_d.c */ - -/* Start: bn_mp_dr_is_modulus.c */ -#include -#ifdef BN_MP_DR_IS_MODULUS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* determines if a number is a valid DR modulus */ -int mp_dr_is_modulus(mp_int *a) -{ - int ix; - - /* must be at least two digits */ - if (a->used < 2) { - return 0; - } - - /* must be of the form b**k - a [a <= b] so all - * but the first digit must be equal to -1 (mod b). - */ - for (ix = 1; ix < a->used; ix++) { - if (a->dp[ix] != MP_MASK) { - return 0; - } - } - return 1; -} - -#endif - -/* End: bn_mp_dr_is_modulus.c */ - -/* Start: bn_mp_dr_reduce.c */ -#include -#ifdef BN_MP_DR_REDUCE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* reduce "x" in place modulo "n" using the Diminished Radix algorithm. - * - * Based on algorithm from the paper - * - * "Generating Efficient Primes for Discrete Log Cryptosystems" - * Chae Hoon Lim, Pil Joong Lee, - * POSTECH Information Research Laboratories - * - * The modulus must be of a special format [see manual] - * - * Has been modified to use algorithm 7.10 from the LTM book instead - * - * Input x must be in the range 0 <= x <= (n-1)**2 - */ -int -mp_dr_reduce (mp_int * x, mp_int * n, mp_digit k) -{ - int err, i, m; - mp_word r; - mp_digit mu, *tmpx1, *tmpx2; - - /* m = digits in modulus */ - m = n->used; - - /* ensure that "x" has at least 2m digits */ - if (x->alloc < m + m) { - if ((err = mp_grow (x, m + m)) != MP_OKAY) { - return err; - } - } - -/* top of loop, this is where the code resumes if - * another reduction pass is required. - */ -top: - /* aliases for digits */ - /* alias for lower half of x */ - tmpx1 = x->dp; - - /* alias for upper half of x, or x/B**m */ - tmpx2 = x->dp + m; - - /* set carry to zero */ - mu = 0; - - /* compute (x mod B**m) + k * [x/B**m] inline and inplace */ - for (i = 0; i < m; i++) { - r = ((mp_word)*tmpx2++) * ((mp_word)k) + *tmpx1 + mu; - *tmpx1++ = (mp_digit)(r & MP_MASK); - mu = (mp_digit)(r >> ((mp_word)DIGIT_BIT)); - } - - /* set final carry */ - *tmpx1++ = mu; - - /* zero words above m */ - for (i = m + 1; i < x->used; i++) { - *tmpx1++ = 0; - } - - /* clamp, sub and return */ - mp_clamp (x); - - /* if x >= n then subtract and reduce again - * Each successive "recursion" makes the input smaller and smaller. - */ - if (mp_cmp_mag (x, n) != MP_LT) { - s_mp_sub(x, n, x); - goto top; - } - return MP_OKAY; -} -#endif - -/* End: bn_mp_dr_reduce.c */ - -/* Start: bn_mp_dr_setup.c */ -#include -#ifdef BN_MP_DR_SETUP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* determines the setup value */ -void mp_dr_setup(mp_int *a, mp_digit *d) -{ - /* the casts are required if DIGIT_BIT is one less than - * the number of bits in a mp_digit [e.g. DIGIT_BIT==31] - */ - *d = (mp_digit)((((mp_word)1) << ((mp_word)DIGIT_BIT)) - - ((mp_word)a->dp[0])); -} - -#endif - -/* End: bn_mp_dr_setup.c */ - -/* Start: bn_mp_exch.c */ -#include -#ifdef BN_MP_EXCH_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* swap the elements of two integers, for cases where you can't simply swap the - * mp_int pointers around - */ -void -mp_exch (mp_int * a, mp_int * b) -{ - mp_int t; - - t = *a; - *a = *b; - *b = t; -} -#endif - -/* End: bn_mp_exch.c */ - -/* Start: bn_mp_expt_d.c */ -#include -#ifdef BN_MP_EXPT_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* calculate c = a**b using a square-multiply algorithm */ -int mp_expt_d (mp_int * a, mp_digit b, mp_int * c) -{ - int res, x; - mp_int g; - - if ((res = mp_init_copy (&g, a)) != MP_OKAY) { - return res; - } - - /* set initial result */ - mp_set (c, 1); - - for (x = 0; x < (int) DIGIT_BIT; x++) { - /* square */ - if ((res = mp_sqr (c, c)) != MP_OKAY) { - mp_clear (&g); - return res; - } - - /* if the bit is set multiply */ - if ((b & (mp_digit) (((mp_digit)1) << (DIGIT_BIT - 1))) != 0) { - if ((res = mp_mul (c, &g, c)) != MP_OKAY) { - mp_clear (&g); - return res; - } - } - - /* shift to next bit */ - b <<= 1; - } - - mp_clear (&g); - return MP_OKAY; -} -#endif - -/* End: bn_mp_expt_d.c */ - -/* Start: bn_mp_exptmod.c */ -#include -#ifdef BN_MP_EXPTMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - - -/* this is a shell function that calls either the normal or Montgomery - * exptmod functions. Originally the call to the montgomery code was - * embedded in the normal function but that wasted alot of stack space - * for nothing (since 99% of the time the Montgomery code would be called) - */ -int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) -{ - int dr; - - /* modulus P must be positive */ - if (P->sign == MP_NEG) { - return MP_VAL; - } - - /* if exponent X is negative we have to recurse */ - if (X->sign == MP_NEG) { -#ifdef BN_MP_INVMOD_C - mp_int tmpG, tmpX; - int err; - - /* first compute 1/G mod P */ - if ((err = mp_init(&tmpG)) != MP_OKAY) { - return err; - } - if ((err = mp_invmod(G, P, &tmpG)) != MP_OKAY) { - mp_clear(&tmpG); - return err; - } - - /* now get |X| */ - if ((err = mp_init(&tmpX)) != MP_OKAY) { - mp_clear(&tmpG); - return err; - } - if ((err = mp_abs(X, &tmpX)) != MP_OKAY) { - mp_clear_multi(&tmpG, &tmpX, NULL); - return err; - } - - /* and now compute (1/G)**|X| instead of G**X [X < 0] */ - err = mp_exptmod(&tmpG, &tmpX, P, Y); - mp_clear_multi(&tmpG, &tmpX, NULL); - return err; -#else - /* no invmod */ - return MP_VAL; -#endif - } - -/* modified diminished radix reduction */ -#if defined(BN_MP_REDUCE_IS_2K_L_C) && defined(BN_MP_REDUCE_2K_L_C) && defined(BN_S_MP_EXPTMOD_C) - if (mp_reduce_is_2k_l(P) == MP_YES) { - return s_mp_exptmod(G, X, P, Y, 1); - } -#endif - -#ifdef BN_MP_DR_IS_MODULUS_C - /* is it a DR modulus? */ - dr = mp_dr_is_modulus(P); -#else - /* default to no */ - dr = 0; -#endif - -#ifdef BN_MP_REDUCE_IS_2K_C - /* if not, is it a unrestricted DR modulus? */ - if (dr == 0) { - dr = mp_reduce_is_2k(P) << 1; - } -#endif - - /* if the modulus is odd or dr != 0 use the montgomery method */ -#ifdef BN_MP_EXPTMOD_FAST_C - if (mp_isodd (P) == 1 || dr != 0) { - return mp_exptmod_fast (G, X, P, Y, dr); - } else { -#endif -#ifdef BN_S_MP_EXPTMOD_C - /* otherwise use the generic Barrett reduction technique */ - return s_mp_exptmod (G, X, P, Y, 0); -#else - /* no exptmod for evens */ - return MP_VAL; -#endif -#ifdef BN_MP_EXPTMOD_FAST_C - } -#endif -} - -#endif - -/* End: bn_mp_exptmod.c */ - -/* Start: bn_mp_exptmod_fast.c */ -#include -#ifdef BN_MP_EXPTMOD_FAST_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* computes Y == G**X mod P, HAC pp.616, Algorithm 14.85 - * - * Uses a left-to-right k-ary sliding window to compute the modular exponentiation. - * The value of k changes based on the size of the exponent. - * - * Uses Montgomery or Diminished Radix reduction [whichever appropriate] - */ - -#ifdef MP_LOW_MEM - #define TAB_SIZE 32 -#else - #define TAB_SIZE 256 -#endif - -int mp_exptmod_fast (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) -{ - mp_int M[TAB_SIZE], res; - mp_digit buf, mp; - int err, bitbuf, bitcpy, bitcnt, mode, digidx, x, y, winsize; - - /* use a pointer to the reduction algorithm. This allows us to use - * one of many reduction algorithms without modding the guts of - * the code with if statements everywhere. - */ - int (*redux)(mp_int*,mp_int*,mp_digit); - - /* find window size */ - x = mp_count_bits (X); - if (x <= 7) { - winsize = 2; - } else if (x <= 36) { - winsize = 3; - } else if (x <= 140) { - winsize = 4; - } else if (x <= 450) { - winsize = 5; - } else if (x <= 1303) { - winsize = 6; - } else if (x <= 3529) { - winsize = 7; - } else { - winsize = 8; - } - -#ifdef MP_LOW_MEM - if (winsize > 5) { - winsize = 5; - } -#endif - - /* init M array */ - /* init first cell */ - if ((err = mp_init(&M[1])) != MP_OKAY) { - return err; - } - - /* now init the second half of the array */ - for (x = 1<<(winsize-1); x < (1 << winsize); x++) { - if ((err = mp_init(&M[x])) != MP_OKAY) { - for (y = 1<<(winsize-1); y < x; y++) { - mp_clear (&M[y]); - } - mp_clear(&M[1]); - return err; - } - } - - /* determine and setup reduction code */ - if (redmode == 0) { -#ifdef BN_MP_MONTGOMERY_SETUP_C - /* now setup montgomery */ - if ((err = mp_montgomery_setup (P, &mp)) != MP_OKAY) { - goto LBL_M; - } -#else - err = MP_VAL; - goto LBL_M; -#endif - - /* automatically pick the comba one if available (saves quite a few calls/ifs) */ -#ifdef BN_FAST_MP_MONTGOMERY_REDUCE_C - if (((P->used * 2 + 1) < MP_WARRAY) && - P->used < (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { - redux = fast_mp_montgomery_reduce; - } else -#endif - { -#ifdef BN_MP_MONTGOMERY_REDUCE_C - /* use slower baseline Montgomery method */ - redux = mp_montgomery_reduce; -#else - err = MP_VAL; - goto LBL_M; -#endif - } - } else if (redmode == 1) { -#if defined(BN_MP_DR_SETUP_C) && defined(BN_MP_DR_REDUCE_C) - /* setup DR reduction for moduli of the form B**k - b */ - mp_dr_setup(P, &mp); - redux = mp_dr_reduce; -#else - err = MP_VAL; - goto LBL_M; -#endif - } else { -#if defined(BN_MP_REDUCE_2K_SETUP_C) && defined(BN_MP_REDUCE_2K_C) - /* setup DR reduction for moduli of the form 2**k - b */ - if ((err = mp_reduce_2k_setup(P, &mp)) != MP_OKAY) { - goto LBL_M; - } - redux = mp_reduce_2k; -#else - err = MP_VAL; - goto LBL_M; -#endif - } - - /* setup result */ - if ((err = mp_init (&res)) != MP_OKAY) { - goto LBL_M; - } - - /* create M table - * - - * - * The first half of the table is not computed though accept for M[0] and M[1] - */ - - if (redmode == 0) { -#ifdef BN_MP_MONTGOMERY_CALC_NORMALIZATION_C - /* now we need R mod m */ - if ((err = mp_montgomery_calc_normalization (&res, P)) != MP_OKAY) { - goto LBL_RES; - } -#else - err = MP_VAL; - goto LBL_RES; -#endif - - /* now set M[1] to G * R mod m */ - if ((err = mp_mulmod (G, &res, P, &M[1])) != MP_OKAY) { - goto LBL_RES; - } - } else { - mp_set(&res, 1); - if ((err = mp_mod(G, P, &M[1])) != MP_OKAY) { - goto LBL_RES; - } - } - - /* compute the value at M[1<<(winsize-1)] by squaring M[1] (winsize-1) times */ - if ((err = mp_copy (&M[1], &M[1 << (winsize - 1)])) != MP_OKAY) { - goto LBL_RES; - } - - for (x = 0; x < (winsize - 1); x++) { - if ((err = mp_sqr (&M[1 << (winsize - 1)], &M[1 << (winsize - 1)])) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&M[1 << (winsize - 1)], P, mp)) != MP_OKAY) { - goto LBL_RES; - } - } - - /* create upper table */ - for (x = (1 << (winsize - 1)) + 1; x < (1 << winsize); x++) { - if ((err = mp_mul (&M[x - 1], &M[1], &M[x])) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&M[x], P, mp)) != MP_OKAY) { - goto LBL_RES; - } - } - - /* set initial mode and bit cnt */ - mode = 0; - bitcnt = 1; - buf = 0; - digidx = X->used - 1; - bitcpy = 0; - bitbuf = 0; - - for (;;) { - /* grab next digit as required */ - if (--bitcnt == 0) { - /* if digidx == -1 we are out of digits so break */ - if (digidx == -1) { - break; - } - /* read next digit and reset bitcnt */ - buf = X->dp[digidx--]; - bitcnt = (int)DIGIT_BIT; - } - - /* grab the next msb from the exponent */ - y = (mp_digit)(buf >> (DIGIT_BIT - 1)) & 1; - buf <<= (mp_digit)1; - - /* if the bit is zero and mode == 0 then we ignore it - * These represent the leading zero bits before the first 1 bit - * in the exponent. Technically this opt is not required but it - * does lower the # of trivial squaring/reductions used - */ - if (mode == 0 && y == 0) { - continue; - } - - /* if the bit is zero and mode == 1 then we square */ - if (mode == 1 && y == 0) { - if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - continue; - } - - /* else we add it to the window */ - bitbuf |= (y << (winsize - ++bitcpy)); - mode = 2; - - if (bitcpy == winsize) { - /* ok window is filled so square as required and multiply */ - /* square first */ - for (x = 0; x < winsize; x++) { - if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - } - - /* then multiply */ - if ((err = mp_mul (&res, &M[bitbuf], &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - - /* empty window and reset */ - bitcpy = 0; - bitbuf = 0; - mode = 1; - } - } - - /* if bits remain then square/multiply */ - if (mode == 2 && bitcpy > 0) { - /* square then multiply if the bit is set */ - for (x = 0; x < bitcpy; x++) { - if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - - /* get next bit of the window */ - bitbuf <<= 1; - if ((bitbuf & (1 << winsize)) != 0) { - /* then multiply */ - if ((err = mp_mul (&res, &M[1], &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - } - } - } - - if (redmode == 0) { - /* fixup result if Montgomery reduction is used - * recall that any value in a Montgomery system is - * actually multiplied by R mod n. So we have - * to reduce one more time to cancel out the factor - * of R. - */ - if ((err = redux(&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - } - - /* swap res with Y */ - mp_exch (&res, Y); - err = MP_OKAY; -LBL_RES:mp_clear (&res); -LBL_M: - mp_clear(&M[1]); - for (x = 1<<(winsize-1); x < (1 << winsize); x++) { - mp_clear (&M[x]); - } - return err; -} -#endif - -/* End: bn_mp_exptmod_fast.c */ - -/* Start: bn_mp_exteuclid.c */ -#include -#ifdef BN_MP_EXTEUCLID_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* Extended euclidean algorithm of (a, b) produces - a*u1 + b*u2 = u3 - */ -int mp_exteuclid(mp_int *a, mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3) -{ - mp_int u1,u2,u3,v1,v2,v3,t1,t2,t3,q,tmp; - int err; - - if ((err = mp_init_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL)) != MP_OKAY) { - return err; - } - - /* initialize, (u1,u2,u3) = (1,0,a) */ - mp_set(&u1, 1); - if ((err = mp_copy(a, &u3)) != MP_OKAY) { goto _ERR; } - - /* initialize, (v1,v2,v3) = (0,1,b) */ - mp_set(&v2, 1); - if ((err = mp_copy(b, &v3)) != MP_OKAY) { goto _ERR; } - - /* loop while v3 != 0 */ - while (mp_iszero(&v3) == MP_NO) { - /* q = u3/v3 */ - if ((err = mp_div(&u3, &v3, &q, NULL)) != MP_OKAY) { goto _ERR; } - - /* (t1,t2,t3) = (u1,u2,u3) - (v1,v2,v3)q */ - if ((err = mp_mul(&v1, &q, &tmp)) != MP_OKAY) { goto _ERR; } - if ((err = mp_sub(&u1, &tmp, &t1)) != MP_OKAY) { goto _ERR; } - if ((err = mp_mul(&v2, &q, &tmp)) != MP_OKAY) { goto _ERR; } - if ((err = mp_sub(&u2, &tmp, &t2)) != MP_OKAY) { goto _ERR; } - if ((err = mp_mul(&v3, &q, &tmp)) != MP_OKAY) { goto _ERR; } - if ((err = mp_sub(&u3, &tmp, &t3)) != MP_OKAY) { goto _ERR; } - - /* (u1,u2,u3) = (v1,v2,v3) */ - if ((err = mp_copy(&v1, &u1)) != MP_OKAY) { goto _ERR; } - if ((err = mp_copy(&v2, &u2)) != MP_OKAY) { goto _ERR; } - if ((err = mp_copy(&v3, &u3)) != MP_OKAY) { goto _ERR; } - - /* (v1,v2,v3) = (t1,t2,t3) */ - if ((err = mp_copy(&t1, &v1)) != MP_OKAY) { goto _ERR; } - if ((err = mp_copy(&t2, &v2)) != MP_OKAY) { goto _ERR; } - if ((err = mp_copy(&t3, &v3)) != MP_OKAY) { goto _ERR; } - } - - /* make sure U3 >= 0 */ - if (u3.sign == MP_NEG) { - mp_neg(&u1, &u1); - mp_neg(&u2, &u2); - mp_neg(&u3, &u3); - } - - /* copy result out */ - if (U1 != NULL) { mp_exch(U1, &u1); } - if (U2 != NULL) { mp_exch(U2, &u2); } - if (U3 != NULL) { mp_exch(U3, &u3); } - - err = MP_OKAY; -_ERR: mp_clear_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL); - return err; -} -#endif - -/* End: bn_mp_exteuclid.c */ - -/* Start: bn_mp_fread.c */ -#include -#ifdef BN_MP_FREAD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* read a bigint from a file stream in ASCII */ -int mp_fread(mp_int *a, int radix, FILE *stream) -{ - int err, ch, neg, y; - - /* clear a */ - mp_zero(a); - - /* if first digit is - then set negative */ - ch = fgetc(stream); - if (ch == '-') { - neg = MP_NEG; - ch = fgetc(stream); - } else { - neg = MP_ZPOS; - } - - for (;;) { - /* find y in the radix map */ - for (y = 0; y < radix; y++) { - if (mp_s_rmap[y] == ch) { - break; - } - } - if (y == radix) { - break; - } - - /* shift up and add */ - if ((err = mp_mul_d(a, radix, a)) != MP_OKAY) { - return err; - } - if ((err = mp_add_d(a, y, a)) != MP_OKAY) { - return err; - } - - ch = fgetc(stream); - } - if (mp_cmp_d(a, 0) != MP_EQ) { - a->sign = neg; - } - - return MP_OKAY; -} - -#endif - -/* End: bn_mp_fread.c */ - -/* Start: bn_mp_fwrite.c */ -#include -#ifdef BN_MP_FWRITE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -int mp_fwrite(mp_int *a, int radix, FILE *stream) -{ - char *buf; - int err, len, x; - - if ((err = mp_radix_size(a, radix, &len)) != MP_OKAY) { - return err; - } - - buf = OPT_CAST(char) XMALLOC (len); - if (buf == NULL) { - return MP_MEM; - } - - if ((err = mp_toradix(a, buf, radix)) != MP_OKAY) { - XFREE (buf); - return err; - } - - for (x = 0; x < len; x++) { - if (fputc(buf[x], stream) == EOF) { - XFREE (buf); - return MP_VAL; - } - } - - XFREE (buf); - return MP_OKAY; -} - -#endif - -/* End: bn_mp_fwrite.c */ - -/* Start: bn_mp_gcd.c */ -#include -#ifdef BN_MP_GCD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* Greatest Common Divisor using the binary method */ -int mp_gcd (mp_int * a, mp_int * b, mp_int * c) -{ - mp_int u, v; - int k, u_lsb, v_lsb, res; - - /* either zero than gcd is the largest */ - if (mp_iszero (a) == MP_YES) { - return mp_abs (b, c); - } - if (mp_iszero (b) == MP_YES) { - return mp_abs (a, c); - } - - /* get copies of a and b we can modify */ - if ((res = mp_init_copy (&u, a)) != MP_OKAY) { - return res; - } - - if ((res = mp_init_copy (&v, b)) != MP_OKAY) { - goto LBL_U; - } - - /* must be positive for the remainder of the algorithm */ - u.sign = v.sign = MP_ZPOS; - - /* B1. Find the common power of two for u and v */ - u_lsb = mp_cnt_lsb(&u); - v_lsb = mp_cnt_lsb(&v); - k = MIN(u_lsb, v_lsb); - - if (k > 0) { - /* divide the power of two out */ - if ((res = mp_div_2d(&u, k, &u, NULL)) != MP_OKAY) { - goto LBL_V; - } - - if ((res = mp_div_2d(&v, k, &v, NULL)) != MP_OKAY) { - goto LBL_V; - } - } - - /* divide any remaining factors of two out */ - if (u_lsb != k) { - if ((res = mp_div_2d(&u, u_lsb - k, &u, NULL)) != MP_OKAY) { - goto LBL_V; - } - } - - if (v_lsb != k) { - if ((res = mp_div_2d(&v, v_lsb - k, &v, NULL)) != MP_OKAY) { - goto LBL_V; - } - } - - while (mp_iszero(&v) == 0) { - /* make sure v is the largest */ - if (mp_cmp_mag(&u, &v) == MP_GT) { - /* swap u and v to make sure v is >= u */ - mp_exch(&u, &v); - } - - /* subtract smallest from largest */ - if ((res = s_mp_sub(&v, &u, &v)) != MP_OKAY) { - goto LBL_V; - } - - /* Divide out all factors of two */ - if ((res = mp_div_2d(&v, mp_cnt_lsb(&v), &v, NULL)) != MP_OKAY) { - goto LBL_V; - } - } - - /* multiply by 2**k which we divided out at the beginning */ - if ((res = mp_mul_2d (&u, k, c)) != MP_OKAY) { - goto LBL_V; - } - c->sign = MP_ZPOS; - res = MP_OKAY; -LBL_V:mp_clear (&u); -LBL_U:mp_clear (&v); - return res; -} -#endif - -/* End: bn_mp_gcd.c */ - -/* Start: bn_mp_get_int.c */ -#include -#ifdef BN_MP_GET_INT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* get the lower 32-bits of an mp_int */ -unsigned long mp_get_int(mp_int * a) -{ - int i; - unsigned long res; - - if (a->used == 0) { - return 0; - } - - /* get number of digits of the lsb we have to read */ - i = MIN(a->used,(int)((sizeof(unsigned long)*CHAR_BIT+DIGIT_BIT-1)/DIGIT_BIT))-1; - - /* get most significant digit of result */ - res = DIGIT(a,i); - - while (--i >= 0) { - res = (res << DIGIT_BIT) | DIGIT(a,i); - } - - /* force result to 32-bits always so it is consistent on non 32-bit platforms */ - return res & 0xFFFFFFFFUL; -} -#endif - -/* End: bn_mp_get_int.c */ - -/* Start: bn_mp_grow.c */ -#include -#ifdef BN_MP_GROW_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* grow as required */ -int mp_grow (mp_int * a, int size) -{ - int i; - mp_digit *tmp; - - /* if the alloc size is smaller alloc more ram */ - if (a->alloc < size) { - /* ensure there are always at least MP_PREC digits extra on top */ - size += (MP_PREC * 2) - (size % MP_PREC); - - /* reallocate the array a->dp - * - * We store the return in a temporary variable - * in case the operation failed we don't want - * to overwrite the dp member of a. - */ - tmp = OPT_CAST(mp_digit) XREALLOC (a->dp, sizeof (mp_digit) * size); - if (tmp == NULL) { - /* reallocation failed but "a" is still valid [can be freed] */ - return MP_MEM; - } - - /* reallocation succeeded so set a->dp */ - a->dp = tmp; - - /* zero excess digits */ - i = a->alloc; - a->alloc = size; - for (; i < a->alloc; i++) { - a->dp[i] = 0; - } - } - return MP_OKAY; -} -#endif - -/* End: bn_mp_grow.c */ - -/* Start: bn_mp_init.c */ -#include -#ifdef BN_MP_INIT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* init a new mp_int */ -int mp_init (mp_int * a) -{ - int i; - - /* allocate memory required and clear it */ - a->dp = OPT_CAST(mp_digit) XMALLOC (sizeof (mp_digit) * MP_PREC); - if (a->dp == NULL) { - return MP_MEM; - } - - /* set the digits to zero */ - for (i = 0; i < MP_PREC; i++) { - a->dp[i] = 0; - } - - /* set the used to zero, allocated digits to the default precision - * and sign to positive */ - a->used = 0; - a->alloc = MP_PREC; - a->sign = MP_ZPOS; - - return MP_OKAY; -} -#endif - -/* End: bn_mp_init.c */ - -/* Start: bn_mp_init_copy.c */ -#include -#ifdef BN_MP_INIT_COPY_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* creates "a" then copies b into it */ -int mp_init_copy (mp_int * a, mp_int * b) -{ - int res; - - if ((res = mp_init (a)) != MP_OKAY) { - return res; - } - return mp_copy (b, a); -} -#endif - -/* End: bn_mp_init_copy.c */ - -/* Start: bn_mp_init_multi.c */ -#include -#ifdef BN_MP_INIT_MULTI_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ -#include - -int mp_init_multi(mp_int *mp, ...) -{ - mp_err res = MP_OKAY; /* Assume ok until proven otherwise */ - int n = 0; /* Number of ok inits */ - mp_int* cur_arg = mp; - va_list args; - - va_start(args, mp); /* init args to next argument from caller */ - while (cur_arg != NULL) { - if (mp_init(cur_arg) != MP_OKAY) { - /* Oops - error! Back-track and mp_clear what we already - succeeded in init-ing, then return error. - */ - va_list clean_args; - - /* end the current list */ - va_end(args); - - /* now start cleaning up */ - cur_arg = mp; - va_start(clean_args, mp); - while (n--) { - mp_clear(cur_arg); - cur_arg = va_arg(clean_args, mp_int*); - } - va_end(clean_args); - res = MP_MEM; - break; - } - n++; - cur_arg = va_arg(args, mp_int*); - } - va_end(args); - return res; /* Assumed ok, if error flagged above. */ -} - -#endif - -/* End: bn_mp_init_multi.c */ - -/* Start: bn_mp_init_set.c */ -#include -#ifdef BN_MP_INIT_SET_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* initialize and set a digit */ -int mp_init_set (mp_int * a, mp_digit b) -{ - int err; - if ((err = mp_init(a)) != MP_OKAY) { - return err; - } - mp_set(a, b); - return err; -} -#endif - -/* End: bn_mp_init_set.c */ - -/* Start: bn_mp_init_set_int.c */ -#include -#ifdef BN_MP_INIT_SET_INT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* initialize and set a digit */ -int mp_init_set_int (mp_int * a, unsigned long b) -{ - int err; - if ((err = mp_init(a)) != MP_OKAY) { - return err; - } - return mp_set_int(a, b); -} -#endif - -/* End: bn_mp_init_set_int.c */ - -/* Start: bn_mp_init_size.c */ -#include -#ifdef BN_MP_INIT_SIZE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* init an mp_init for a given size */ -int mp_init_size (mp_int * a, int size) -{ - int x; - - /* pad size so there are always extra digits */ - size += (MP_PREC * 2) - (size % MP_PREC); - - /* alloc mem */ - a->dp = OPT_CAST(mp_digit) XMALLOC (sizeof (mp_digit) * size); - if (a->dp == NULL) { - return MP_MEM; - } - - /* set the members */ - a->used = 0; - a->alloc = size; - a->sign = MP_ZPOS; - - /* zero the digits */ - for (x = 0; x < size; x++) { - a->dp[x] = 0; - } - - return MP_OKAY; -} -#endif - -/* End: bn_mp_init_size.c */ - -/* Start: bn_mp_invmod.c */ -#include -#ifdef BN_MP_INVMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* hac 14.61, pp608 */ -int mp_invmod (mp_int * a, mp_int * b, mp_int * c) -{ - /* b cannot be negative */ - if (b->sign == MP_NEG || mp_iszero(b) == 1) { - return MP_VAL; - } - -#ifdef BN_FAST_MP_INVMOD_C - /* if the modulus is odd we can use a faster routine instead */ - if (mp_isodd (b) == 1) { - return fast_mp_invmod (a, b, c); - } -#endif - -#ifdef BN_MP_INVMOD_SLOW_C - return mp_invmod_slow(a, b, c); -#endif - - return MP_VAL; -} -#endif - -/* End: bn_mp_invmod.c */ - -/* Start: bn_mp_invmod_slow.c */ -#include -#ifdef BN_MP_INVMOD_SLOW_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* hac 14.61, pp608 */ -int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c) -{ - mp_int x, y, u, v, A, B, C, D; - int res; - - /* b cannot be negative */ - if (b->sign == MP_NEG || mp_iszero(b) == 1) { - return MP_VAL; - } - - /* init temps */ - if ((res = mp_init_multi(&x, &y, &u, &v, - &A, &B, &C, &D, NULL)) != MP_OKAY) { - return res; - } - - /* x = a, y = b */ - if ((res = mp_mod(a, b, &x)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_copy (b, &y)) != MP_OKAY) { - goto LBL_ERR; - } - - /* 2. [modified] if x,y are both even then return an error! */ - if (mp_iseven (&x) == 1 && mp_iseven (&y) == 1) { - res = MP_VAL; - goto LBL_ERR; - } - - /* 3. u=x, v=y, A=1, B=0, C=0,D=1 */ - if ((res = mp_copy (&x, &u)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_copy (&y, &v)) != MP_OKAY) { - goto LBL_ERR; - } - mp_set (&A, 1); - mp_set (&D, 1); - -top: - /* 4. while u is even do */ - while (mp_iseven (&u) == 1) { - /* 4.1 u = u/2 */ - if ((res = mp_div_2 (&u, &u)) != MP_OKAY) { - goto LBL_ERR; - } - /* 4.2 if A or B is odd then */ - if (mp_isodd (&A) == 1 || mp_isodd (&B) == 1) { - /* A = (A+y)/2, B = (B-x)/2 */ - if ((res = mp_add (&A, &y, &A)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_sub (&B, &x, &B)) != MP_OKAY) { - goto LBL_ERR; - } - } - /* A = A/2, B = B/2 */ - if ((res = mp_div_2 (&A, &A)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_div_2 (&B, &B)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* 5. while v is even do */ - while (mp_iseven (&v) == 1) { - /* 5.1 v = v/2 */ - if ((res = mp_div_2 (&v, &v)) != MP_OKAY) { - goto LBL_ERR; - } - /* 5.2 if C or D is odd then */ - if (mp_isodd (&C) == 1 || mp_isodd (&D) == 1) { - /* C = (C+y)/2, D = (D-x)/2 */ - if ((res = mp_add (&C, &y, &C)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_sub (&D, &x, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - /* C = C/2, D = D/2 */ - if ((res = mp_div_2 (&C, &C)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_div_2 (&D, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* 6. if u >= v then */ - if (mp_cmp (&u, &v) != MP_LT) { - /* u = u - v, A = A - C, B = B - D */ - if ((res = mp_sub (&u, &v, &u)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_sub (&A, &C, &A)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_sub (&B, &D, &B)) != MP_OKAY) { - goto LBL_ERR; - } - } else { - /* v - v - u, C = C - A, D = D - B */ - if ((res = mp_sub (&v, &u, &v)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_sub (&C, &A, &C)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_sub (&D, &B, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* if not zero goto step 4 */ - if (mp_iszero (&u) == 0) - goto top; - - /* now a = C, b = D, gcd == g*v */ - - /* if v != 1 then there is no inverse */ - if (mp_cmp_d (&v, 1) != MP_EQ) { - res = MP_VAL; - goto LBL_ERR; - } - - /* if its too low */ - while (mp_cmp_d(&C, 0) == MP_LT) { - if ((res = mp_add(&C, b, &C)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* too big */ - while (mp_cmp_mag(&C, b) != MP_LT) { - if ((res = mp_sub(&C, b, &C)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* C is now the inverse */ - mp_exch (&C, c); - res = MP_OKAY; -LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &A, &B, &C, &D, NULL); - return res; -} -#endif - -/* End: bn_mp_invmod_slow.c */ - -/* Start: bn_mp_is_square.c */ -#include -#ifdef BN_MP_IS_SQUARE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* Check if remainders are possible squares - fast exclude non-squares */ -static const char rem_128[128] = { - 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1 -}; - -static const char rem_105[105] = { - 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, - 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, - 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, - 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, - 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, - 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, - 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1 -}; - -/* Store non-zero to ret if arg is square, and zero if not */ -int mp_is_square(mp_int *arg,int *ret) -{ - int res; - mp_digit c; - mp_int t; - unsigned long r; - - /* Default to Non-square :) */ - *ret = MP_NO; - - if (arg->sign == MP_NEG) { - return MP_VAL; - } - - /* digits used? (TSD) */ - if (arg->used == 0) { - return MP_OKAY; - } - - /* First check mod 128 (suppose that DIGIT_BIT is at least 7) */ - if (rem_128[127 & DIGIT(arg,0)] == 1) { - return MP_OKAY; - } - - /* Next check mod 105 (3*5*7) */ - if ((res = mp_mod_d(arg,105,&c)) != MP_OKAY) { - return res; - } - if (rem_105[c] == 1) { - return MP_OKAY; - } - - - if ((res = mp_init_set_int(&t,11L*13L*17L*19L*23L*29L*31L)) != MP_OKAY) { - return res; - } - if ((res = mp_mod(arg,&t,&t)) != MP_OKAY) { - goto ERR; - } - r = mp_get_int(&t); - /* Check for other prime modules, note it's not an ERROR but we must - * free "t" so the easiest way is to goto ERR. We know that res - * is already equal to MP_OKAY from the mp_mod call - */ - if ( (1L<<(r%11)) & 0x5C4L ) goto ERR; - if ( (1L<<(r%13)) & 0x9E4L ) goto ERR; - if ( (1L<<(r%17)) & 0x5CE8L ) goto ERR; - if ( (1L<<(r%19)) & 0x4F50CL ) goto ERR; - if ( (1L<<(r%23)) & 0x7ACCA0L ) goto ERR; - if ( (1L<<(r%29)) & 0xC2EDD0CL ) goto ERR; - if ( (1L<<(r%31)) & 0x6DE2B848L ) goto ERR; - - /* Final check - is sqr(sqrt(arg)) == arg ? */ - if ((res = mp_sqrt(arg,&t)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sqr(&t,&t)) != MP_OKAY) { - goto ERR; - } - - *ret = (mp_cmp_mag(&t,arg) == MP_EQ) ? MP_YES : MP_NO; -ERR:mp_clear(&t); - return res; -} -#endif - -/* End: bn_mp_is_square.c */ - -/* Start: bn_mp_jacobi.c */ -#include -#ifdef BN_MP_JACOBI_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* computes the jacobi c = (a | n) (or Legendre if n is prime) - * HAC pp. 73 Algorithm 2.149 - */ -int mp_jacobi (mp_int * a, mp_int * p, int *c) -{ - mp_int a1, p1; - int k, s, r, res; - mp_digit residue; - - /* if p <= 0 return MP_VAL */ - if (mp_cmp_d(p, 0) != MP_GT) { - return MP_VAL; - } - - /* step 1. if a == 0, return 0 */ - if (mp_iszero (a) == 1) { - *c = 0; - return MP_OKAY; - } - - /* step 2. if a == 1, return 1 */ - if (mp_cmp_d (a, 1) == MP_EQ) { - *c = 1; - return MP_OKAY; - } - - /* default */ - s = 0; - - /* step 3. write a = a1 * 2**k */ - if ((res = mp_init_copy (&a1, a)) != MP_OKAY) { - return res; - } - - if ((res = mp_init (&p1)) != MP_OKAY) { - goto LBL_A1; - } - - /* divide out larger power of two */ - k = mp_cnt_lsb(&a1); - if ((res = mp_div_2d(&a1, k, &a1, NULL)) != MP_OKAY) { - goto LBL_P1; - } - - /* step 4. if e is even set s=1 */ - if ((k & 1) == 0) { - s = 1; - } else { - /* else set s=1 if p = 1/7 (mod 8) or s=-1 if p = 3/5 (mod 8) */ - residue = p->dp[0] & 7; - - if (residue == 1 || residue == 7) { - s = 1; - } else if (residue == 3 || residue == 5) { - s = -1; - } - } - - /* step 5. if p == 3 (mod 4) *and* a1 == 3 (mod 4) then s = -s */ - if ( ((p->dp[0] & 3) == 3) && ((a1.dp[0] & 3) == 3)) { - s = -s; - } - - /* if a1 == 1 we're done */ - if (mp_cmp_d (&a1, 1) == MP_EQ) { - *c = s; - } else { - /* n1 = n mod a1 */ - if ((res = mp_mod (p, &a1, &p1)) != MP_OKAY) { - goto LBL_P1; - } - if ((res = mp_jacobi (&p1, &a1, &r)) != MP_OKAY) { - goto LBL_P1; - } - *c = s * r; - } - - /* done */ - res = MP_OKAY; -LBL_P1:mp_clear (&p1); -LBL_A1:mp_clear (&a1); - return res; -} -#endif - -/* End: bn_mp_jacobi.c */ - -/* Start: bn_mp_karatsuba_mul.c */ -#include -#ifdef BN_MP_KARATSUBA_MUL_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* c = |a| * |b| using Karatsuba Multiplication using - * three half size multiplications - * - * Let B represent the radix [e.g. 2**DIGIT_BIT] and - * let n represent half of the number of digits in - * the min(a,b) - * - * a = a1 * B**n + a0 - * b = b1 * B**n + b0 - * - * Then, a * b => - a1b1 * B**2n + ((a1 + a0)(b1 + b0) - (a0b0 + a1b1)) * B + a0b0 - * - * Note that a1b1 and a0b0 are used twice and only need to be - * computed once. So in total three half size (half # of - * digit) multiplications are performed, a0b0, a1b1 and - * (a1+b1)(a0+b0) - * - * Note that a multiplication of half the digits requires - * 1/4th the number of single precision multiplications so in - * total after one call 25% of the single precision multiplications - * are saved. Note also that the call to mp_mul can end up back - * in this function if the a0, a1, b0, or b1 are above the threshold. - * This is known as divide-and-conquer and leads to the famous - * O(N**lg(3)) or O(N**1.584) work which is asymptopically lower than - * the standard O(N**2) that the baseline/comba methods use. - * Generally though the overhead of this method doesn't pay off - * until a certain size (N ~ 80) is reached. - */ -int mp_karatsuba_mul (mp_int * a, mp_int * b, mp_int * c) -{ - mp_int x0, x1, y0, y1, t1, x0y0, x1y1; - int B, err; - - /* default the return code to an error */ - err = MP_MEM; - - /* min # of digits */ - B = MIN (a->used, b->used); - - /* now divide in two */ - B = B >> 1; - - /* init copy all the temps */ - if (mp_init_size (&x0, B) != MP_OKAY) - goto ERR; - if (mp_init_size (&x1, a->used - B) != MP_OKAY) - goto X0; - if (mp_init_size (&y0, B) != MP_OKAY) - goto X1; - if (mp_init_size (&y1, b->used - B) != MP_OKAY) - goto Y0; - - /* init temps */ - if (mp_init_size (&t1, B * 2) != MP_OKAY) - goto Y1; - if (mp_init_size (&x0y0, B * 2) != MP_OKAY) - goto T1; - if (mp_init_size (&x1y1, B * 2) != MP_OKAY) - goto X0Y0; - - /* now shift the digits */ - x0.used = y0.used = B; - x1.used = a->used - B; - y1.used = b->used - B; - - { - register int x; - register mp_digit *tmpa, *tmpb, *tmpx, *tmpy; - - /* we copy the digits directly instead of using higher level functions - * since we also need to shift the digits - */ - tmpa = a->dp; - tmpb = b->dp; - - tmpx = x0.dp; - tmpy = y0.dp; - for (x = 0; x < B; x++) { - *tmpx++ = *tmpa++; - *tmpy++ = *tmpb++; - } - - tmpx = x1.dp; - for (x = B; x < a->used; x++) { - *tmpx++ = *tmpa++; - } - - tmpy = y1.dp; - for (x = B; x < b->used; x++) { - *tmpy++ = *tmpb++; - } - } - - /* only need to clamp the lower words since by definition the - * upper words x1/y1 must have a known number of digits - */ - mp_clamp (&x0); - mp_clamp (&y0); - - /* now calc the products x0y0 and x1y1 */ - /* after this x0 is no longer required, free temp [x0==t2]! */ - if (mp_mul (&x0, &y0, &x0y0) != MP_OKAY) - goto X1Y1; /* x0y0 = x0*y0 */ - if (mp_mul (&x1, &y1, &x1y1) != MP_OKAY) - goto X1Y1; /* x1y1 = x1*y1 */ - - /* now calc x1+x0 and y1+y0 */ - if (s_mp_add (&x1, &x0, &t1) != MP_OKAY) - goto X1Y1; /* t1 = x1 - x0 */ - if (s_mp_add (&y1, &y0, &x0) != MP_OKAY) - goto X1Y1; /* t2 = y1 - y0 */ - if (mp_mul (&t1, &x0, &t1) != MP_OKAY) - goto X1Y1; /* t1 = (x1 + x0) * (y1 + y0) */ - - /* add x0y0 */ - if (mp_add (&x0y0, &x1y1, &x0) != MP_OKAY) - goto X1Y1; /* t2 = x0y0 + x1y1 */ - if (s_mp_sub (&t1, &x0, &t1) != MP_OKAY) - goto X1Y1; /* t1 = (x1+x0)*(y1+y0) - (x1y1 + x0y0) */ - - /* shift by B */ - if (mp_lshd (&t1, B) != MP_OKAY) - goto X1Y1; /* t1 = (x0y0 + x1y1 - (x1-x0)*(y1-y0))< -#ifdef BN_MP_KARATSUBA_SQR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* Karatsuba squaring, computes b = a*a using three - * half size squarings - * - * See comments of karatsuba_mul for details. It - * is essentially the same algorithm but merely - * tuned to perform recursive squarings. - */ -int mp_karatsuba_sqr (mp_int * a, mp_int * b) -{ - mp_int x0, x1, t1, t2, x0x0, x1x1; - int B, err; - - err = MP_MEM; - - /* min # of digits */ - B = a->used; - - /* now divide in two */ - B = B >> 1; - - /* init copy all the temps */ - if (mp_init_size (&x0, B) != MP_OKAY) - goto ERR; - if (mp_init_size (&x1, a->used - B) != MP_OKAY) - goto X0; - - /* init temps */ - if (mp_init_size (&t1, a->used * 2) != MP_OKAY) - goto X1; - if (mp_init_size (&t2, a->used * 2) != MP_OKAY) - goto T1; - if (mp_init_size (&x0x0, B * 2) != MP_OKAY) - goto T2; - if (mp_init_size (&x1x1, (a->used - B) * 2) != MP_OKAY) - goto X0X0; - - { - register int x; - register mp_digit *dst, *src; - - src = a->dp; - - /* now shift the digits */ - dst = x0.dp; - for (x = 0; x < B; x++) { - *dst++ = *src++; - } - - dst = x1.dp; - for (x = B; x < a->used; x++) { - *dst++ = *src++; - } - } - - x0.used = B; - x1.used = a->used - B; - - mp_clamp (&x0); - - /* now calc the products x0*x0 and x1*x1 */ - if (mp_sqr (&x0, &x0x0) != MP_OKAY) - goto X1X1; /* x0x0 = x0*x0 */ - if (mp_sqr (&x1, &x1x1) != MP_OKAY) - goto X1X1; /* x1x1 = x1*x1 */ - - /* now calc (x1+x0)**2 */ - if (s_mp_add (&x1, &x0, &t1) != MP_OKAY) - goto X1X1; /* t1 = x1 - x0 */ - if (mp_sqr (&t1, &t1) != MP_OKAY) - goto X1X1; /* t1 = (x1 - x0) * (x1 - x0) */ - - /* add x0y0 */ - if (s_mp_add (&x0x0, &x1x1, &t2) != MP_OKAY) - goto X1X1; /* t2 = x0x0 + x1x1 */ - if (s_mp_sub (&t1, &t2, &t1) != MP_OKAY) - goto X1X1; /* t1 = (x1+x0)**2 - (x0x0 + x1x1) */ - - /* shift by B */ - if (mp_lshd (&t1, B) != MP_OKAY) - goto X1X1; /* t1 = (x0x0 + x1x1 - (x1-x0)*(x1-x0))< -#ifdef BN_MP_LCM_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* computes least common multiple as |a*b|/(a, b) */ -int mp_lcm (mp_int * a, mp_int * b, mp_int * c) -{ - int res; - mp_int t1, t2; - - - if ((res = mp_init_multi (&t1, &t2, NULL)) != MP_OKAY) { - return res; - } - - /* t1 = get the GCD of the two inputs */ - if ((res = mp_gcd (a, b, &t1)) != MP_OKAY) { - goto LBL_T; - } - - /* divide the smallest by the GCD */ - if (mp_cmp_mag(a, b) == MP_LT) { - /* store quotient in t2 such that t2 * b is the LCM */ - if ((res = mp_div(a, &t1, &t2, NULL)) != MP_OKAY) { - goto LBL_T; - } - res = mp_mul(b, &t2, c); - } else { - /* store quotient in t2 such that t2 * a is the LCM */ - if ((res = mp_div(b, &t1, &t2, NULL)) != MP_OKAY) { - goto LBL_T; - } - res = mp_mul(a, &t2, c); - } - - /* fix the sign to positive */ - c->sign = MP_ZPOS; - -LBL_T: - mp_clear_multi (&t1, &t2, NULL); - return res; -} -#endif - -/* End: bn_mp_lcm.c */ - -/* Start: bn_mp_lshd.c */ -#include -#ifdef BN_MP_LSHD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* shift left a certain amount of digits */ -int mp_lshd (mp_int * a, int b) -{ - int x, res; - - /* if its less than zero return */ - if (b <= 0) { - return MP_OKAY; - } - - /* grow to fit the new digits */ - if (a->alloc < a->used + b) { - if ((res = mp_grow (a, a->used + b)) != MP_OKAY) { - return res; - } - } - - { - register mp_digit *top, *bottom; - - /* increment the used by the shift amount then copy upwards */ - a->used += b; - - /* top */ - top = a->dp + a->used - 1; - - /* base */ - bottom = a->dp + a->used - 1 - b; - - /* much like mp_rshd this is implemented using a sliding window - * except the window goes the otherway around. Copying from - * the bottom to the top. see bn_mp_rshd.c for more info. - */ - for (x = a->used - 1; x >= b; x--) { - *top-- = *bottom--; - } - - /* zero the lower digits */ - top = a->dp; - for (x = 0; x < b; x++) { - *top++ = 0; - } - } - return MP_OKAY; -} -#endif - -/* End: bn_mp_lshd.c */ - -/* Start: bn_mp_mod.c */ -#include -#ifdef BN_MP_MOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* c = a mod b, 0 <= c < b */ -int -mp_mod (mp_int * a, mp_int * b, mp_int * c) -{ - mp_int t; - int res; - - if ((res = mp_init (&t)) != MP_OKAY) { - return res; - } - - if ((res = mp_div (a, b, NULL, &t)) != MP_OKAY) { - mp_clear (&t); - return res; - } - - if (t.sign != b->sign) { - res = mp_add (b, &t, c); - } else { - res = MP_OKAY; - mp_exch (&t, c); - } - - mp_clear (&t); - return res; -} -#endif - -/* End: bn_mp_mod.c */ - -/* Start: bn_mp_mod_2d.c */ -#include -#ifdef BN_MP_MOD_2D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* calc a value mod 2**b */ -int -mp_mod_2d (mp_int * a, int b, mp_int * c) -{ - int x, res; - - /* if b is <= 0 then zero the int */ - if (b <= 0) { - mp_zero (c); - return MP_OKAY; - } - - /* if the modulus is larger than the value than return */ - if (b >= (int) (a->used * DIGIT_BIT)) { - res = mp_copy (a, c); - return res; - } - - /* copy */ - if ((res = mp_copy (a, c)) != MP_OKAY) { - return res; - } - - /* zero digits above the last digit of the modulus */ - for (x = (b / DIGIT_BIT) + ((b % DIGIT_BIT) == 0 ? 0 : 1); x < c->used; x++) { - c->dp[x] = 0; - } - /* clear the digit that is not completely outside/inside the modulus */ - c->dp[b / DIGIT_BIT] &= - (mp_digit) ((((mp_digit) 1) << (((mp_digit) b) % DIGIT_BIT)) - ((mp_digit) 1)); - mp_clamp (c); - return MP_OKAY; -} -#endif - -/* End: bn_mp_mod_2d.c */ - -/* Start: bn_mp_mod_d.c */ -#include -#ifdef BN_MP_MOD_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -int -mp_mod_d (mp_int * a, mp_digit b, mp_digit * c) -{ - return mp_div_d(a, b, NULL, c); -} -#endif - -/* End: bn_mp_mod_d.c */ - -/* Start: bn_mp_montgomery_calc_normalization.c */ -#include -#ifdef BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* - * shifts with subtractions when the result is greater than b. - * - * The method is slightly modified to shift B unconditionally upto just under - * the leading bit of b. This saves alot of multiple precision shifting. - */ -int mp_montgomery_calc_normalization (mp_int * a, mp_int * b) -{ - int x, bits, res; - - /* how many bits of last digit does b use */ - bits = mp_count_bits (b) % DIGIT_BIT; - - if (b->used > 1) { - if ((res = mp_2expt (a, (b->used - 1) * DIGIT_BIT + bits - 1)) != MP_OKAY) { - return res; - } - } else { - mp_set(a, 1); - bits = 1; - } - - - /* now compute C = A * B mod b */ - for (x = bits - 1; x < (int)DIGIT_BIT; x++) { - if ((res = mp_mul_2 (a, a)) != MP_OKAY) { - return res; - } - if (mp_cmp_mag (a, b) != MP_LT) { - if ((res = s_mp_sub (a, b, a)) != MP_OKAY) { - return res; - } - } - } - - return MP_OKAY; -} -#endif - -/* End: bn_mp_montgomery_calc_normalization.c */ - -/* Start: bn_mp_montgomery_reduce.c */ -#include -#ifdef BN_MP_MONTGOMERY_REDUCE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* computes xR**-1 == x (mod N) via Montgomery Reduction */ -int -mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) -{ - int ix, res, digs; - mp_digit mu; - - /* can the fast reduction [comba] method be used? - * - * Note that unlike in mul you're safely allowed *less* - * than the available columns [255 per default] since carries - * are fixed up in the inner loop. - */ - digs = n->used * 2 + 1; - if ((digs < MP_WARRAY) && - n->used < - (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { - return fast_mp_montgomery_reduce (x, n, rho); - } - - /* grow the input as required */ - if (x->alloc < digs) { - if ((res = mp_grow (x, digs)) != MP_OKAY) { - return res; - } - } - x->used = digs; - - for (ix = 0; ix < n->used; ix++) { - /* mu = ai * rho mod b - * - * The value of rho must be precalculated via - * montgomery_setup() such that - * it equals -1/n0 mod b this allows the - * following inner loop to reduce the - * input one digit at a time - */ - mu = (mp_digit) (((mp_word)x->dp[ix]) * ((mp_word)rho) & MP_MASK); - - /* a = a + mu * m * b**i */ - { - register int iy; - register mp_digit *tmpn, *tmpx, u; - register mp_word r; - - /* alias for digits of the modulus */ - tmpn = n->dp; - - /* alias for the digits of x [the input] */ - tmpx = x->dp + ix; - - /* set the carry to zero */ - u = 0; - - /* Multiply and add in place */ - for (iy = 0; iy < n->used; iy++) { - /* compute product and sum */ - r = ((mp_word)mu) * ((mp_word)*tmpn++) + - ((mp_word) u) + ((mp_word) * tmpx); - - /* get carry */ - u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); - - /* fix digit */ - *tmpx++ = (mp_digit)(r & ((mp_word) MP_MASK)); - } - /* At this point the ix'th digit of x should be zero */ - - - /* propagate carries upwards as required*/ - while (u) { - *tmpx += u; - u = *tmpx >> DIGIT_BIT; - *tmpx++ &= MP_MASK; - } - } - } - - /* at this point the n.used'th least - * significant digits of x are all zero - * which means we can shift x to the - * right by n.used digits and the - * residue is unchanged. - */ - - /* x = x/b**n.used */ - mp_clamp(x); - mp_rshd (x, n->used); - - /* if x >= n then x = x - n */ - if (mp_cmp_mag (x, n) != MP_LT) { - return s_mp_sub (x, n, x); - } - - return MP_OKAY; -} -#endif - -/* End: bn_mp_montgomery_reduce.c */ - -/* Start: bn_mp_montgomery_setup.c */ -#include -#ifdef BN_MP_MONTGOMERY_SETUP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* setups the montgomery reduction stuff */ -int -mp_montgomery_setup (mp_int * n, mp_digit * rho) -{ - mp_digit x, b; - -/* fast inversion mod 2**k - * - * Based on the fact that - * - * XA = 1 (mod 2**n) => (X(2-XA)) A = 1 (mod 2**2n) - * => 2*X*A - X*X*A*A = 1 - * => 2*(1) - (1) = 1 - */ - b = n->dp[0]; - - if ((b & 1) == 0) { - return MP_VAL; - } - - x = (((b + 2) & 4) << 1) + b; /* here x*a==1 mod 2**4 */ - x *= 2 - b * x; /* here x*a==1 mod 2**8 */ -#if !defined(MP_8BIT) - x *= 2 - b * x; /* here x*a==1 mod 2**16 */ -#endif -#if defined(MP_64BIT) || !(defined(MP_8BIT) || defined(MP_16BIT)) - x *= 2 - b * x; /* here x*a==1 mod 2**32 */ -#endif -#ifdef MP_64BIT - x *= 2 - b * x; /* here x*a==1 mod 2**64 */ -#endif - - /* rho = -1/m mod b */ - *rho = (unsigned long)(((mp_word)1 << ((mp_word) DIGIT_BIT)) - x) & MP_MASK; - - return MP_OKAY; -} -#endif - -/* End: bn_mp_montgomery_setup.c */ - -/* Start: bn_mp_mul.c */ -#include -#ifdef BN_MP_MUL_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* high level multiplication (handles sign) */ -int mp_mul (mp_int * a, mp_int * b, mp_int * c) -{ - int res, neg; - neg = (a->sign == b->sign) ? MP_ZPOS : MP_NEG; - - /* use Toom-Cook? */ -#ifdef BN_MP_TOOM_MUL_C - if (MIN (a->used, b->used) >= TOOM_MUL_CUTOFF) { - res = mp_toom_mul(a, b, c); - } else -#endif -#ifdef BN_MP_KARATSUBA_MUL_C - /* use Karatsuba? */ - if (MIN (a->used, b->used) >= KARATSUBA_MUL_CUTOFF) { - res = mp_karatsuba_mul (a, b, c); - } else -#endif - { - /* can we use the fast multiplier? - * - * The fast multiplier can be used if the output will - * have less than MP_WARRAY digits and the number of - * digits won't affect carry propagation - */ - int digs = a->used + b->used + 1; - -#ifdef BN_FAST_S_MP_MUL_DIGS_C - if ((digs < MP_WARRAY) && - MIN(a->used, b->used) <= - (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { - res = fast_s_mp_mul_digs (a, b, c, digs); - } else -#endif -#ifdef BN_S_MP_MUL_DIGS_C - res = s_mp_mul (a, b, c); /* uses s_mp_mul_digs */ -#else - res = MP_VAL; -#endif - - } - c->sign = (c->used > 0) ? neg : MP_ZPOS; - return res; -} -#endif - -/* End: bn_mp_mul.c */ - -/* Start: bn_mp_mul_2.c */ -#include -#ifdef BN_MP_MUL_2_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* b = a*2 */ -int mp_mul_2(mp_int * a, mp_int * b) -{ - int x, res, oldused; - - /* grow to accomodate result */ - if (b->alloc < a->used + 1) { - if ((res = mp_grow (b, a->used + 1)) != MP_OKAY) { - return res; - } - } - - oldused = b->used; - b->used = a->used; - - { - register mp_digit r, rr, *tmpa, *tmpb; - - /* alias for source */ - tmpa = a->dp; - - /* alias for dest */ - tmpb = b->dp; - - /* carry */ - r = 0; - for (x = 0; x < a->used; x++) { - - /* get what will be the *next* carry bit from the - * MSB of the current digit - */ - rr = *tmpa >> ((mp_digit)(DIGIT_BIT - 1)); - - /* now shift up this digit, add in the carry [from the previous] */ - *tmpb++ = ((*tmpa++ << ((mp_digit)1)) | r) & MP_MASK; - - /* copy the carry that would be from the source - * digit into the next iteration - */ - r = rr; - } - - /* new leading digit? */ - if (r != 0) { - /* add a MSB which is always 1 at this point */ - *tmpb = 1; - ++(b->used); - } - - /* now zero any excess digits on the destination - * that we didn't write to - */ - tmpb = b->dp + b->used; - for (x = b->used; x < oldused; x++) { - *tmpb++ = 0; - } - } - b->sign = a->sign; - return MP_OKAY; -} -#endif - -/* End: bn_mp_mul_2.c */ - -/* Start: bn_mp_mul_2d.c */ -#include -#ifdef BN_MP_MUL_2D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* shift left by a certain bit count */ -int mp_mul_2d (mp_int * a, int b, mp_int * c) -{ - mp_digit d; - int res; - - /* copy */ - if (a != c) { - if ((res = mp_copy (a, c)) != MP_OKAY) { - return res; - } - } - - if (c->alloc < (int)(c->used + b/DIGIT_BIT + 1)) { - if ((res = mp_grow (c, c->used + b / DIGIT_BIT + 1)) != MP_OKAY) { - return res; - } - } - - /* shift by as many digits in the bit count */ - if (b >= (int)DIGIT_BIT) { - if ((res = mp_lshd (c, b / DIGIT_BIT)) != MP_OKAY) { - return res; - } - } - - /* shift any bit count < DIGIT_BIT */ - d = (mp_digit) (b % DIGIT_BIT); - if (d != 0) { - register mp_digit *tmpc, shift, mask, r, rr; - register int x; - - /* bitmask for carries */ - mask = (((mp_digit)1) << d) - 1; - - /* shift for msbs */ - shift = DIGIT_BIT - d; - - /* alias */ - tmpc = c->dp; - - /* carry */ - r = 0; - for (x = 0; x < c->used; x++) { - /* get the higher bits of the current word */ - rr = (*tmpc >> shift) & mask; - - /* shift the current word and OR in the carry */ - *tmpc = ((*tmpc << d) | r) & MP_MASK; - ++tmpc; - - /* set the carry to the carry bits of the current word */ - r = rr; - } - - /* set final carry */ - if (r != 0) { - c->dp[(c->used)++] = r; - } - } - mp_clamp (c); - return MP_OKAY; -} -#endif - -/* End: bn_mp_mul_2d.c */ - -/* Start: bn_mp_mul_d.c */ -#include -#ifdef BN_MP_MUL_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* multiply by a digit */ -int -mp_mul_d (mp_int * a, mp_digit b, mp_int * c) -{ - mp_digit u, *tmpa, *tmpc; - mp_word r; - int ix, res, olduse; - - /* make sure c is big enough to hold a*b */ - if (c->alloc < a->used + 1) { - if ((res = mp_grow (c, a->used + 1)) != MP_OKAY) { - return res; - } - } - - /* get the original destinations used count */ - olduse = c->used; - - /* set the sign */ - c->sign = a->sign; - - /* alias for a->dp [source] */ - tmpa = a->dp; - - /* alias for c->dp [dest] */ - tmpc = c->dp; - - /* zero carry */ - u = 0; - - /* compute columns */ - for (ix = 0; ix < a->used; ix++) { - /* compute product and carry sum for this term */ - r = ((mp_word) u) + ((mp_word)*tmpa++) * ((mp_word)b); - - /* mask off higher bits to get a single digit */ - *tmpc++ = (mp_digit) (r & ((mp_word) MP_MASK)); - - /* send carry into next iteration */ - u = (mp_digit) (r >> ((mp_word) DIGIT_BIT)); - } - - /* store final carry [if any] and increment ix offset */ - *tmpc++ = u; - ++ix; - - /* now zero digits above the top */ - while (ix++ < olduse) { - *tmpc++ = 0; - } - - /* set used count */ - c->used = a->used + 1; - mp_clamp(c); - - return MP_OKAY; -} -#endif - -/* End: bn_mp_mul_d.c */ - -/* Start: bn_mp_mulmod.c */ -#include -#ifdef BN_MP_MULMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* d = a * b (mod c) */ -int mp_mulmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) -{ - int res; - mp_int t; - - if ((res = mp_init (&t)) != MP_OKAY) { - return res; - } - - if ((res = mp_mul (a, b, &t)) != MP_OKAY) { - mp_clear (&t); - return res; - } - res = mp_mod (&t, c, d); - mp_clear (&t); - return res; -} -#endif - -/* End: bn_mp_mulmod.c */ - -/* Start: bn_mp_n_root.c */ -#include -#ifdef BN_MP_N_ROOT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* find the n'th root of an integer - * - * Result found such that (c)**b <= a and (c+1)**b > a - * - * This algorithm uses Newton's approximation - * x[i+1] = x[i] - f(x[i])/f'(x[i]) - * which will find the root in log(N) time where - * each step involves a fair bit. This is not meant to - * find huge roots [square and cube, etc]. - */ -int mp_n_root (mp_int * a, mp_digit b, mp_int * c) -{ - mp_int t1, t2, t3; - int res, neg; - - /* input must be positive if b is even */ - if ((b & 1) == 0 && a->sign == MP_NEG) { - return MP_VAL; - } - - if ((res = mp_init (&t1)) != MP_OKAY) { - return res; - } - - if ((res = mp_init (&t2)) != MP_OKAY) { - goto LBL_T1; - } - - if ((res = mp_init (&t3)) != MP_OKAY) { - goto LBL_T2; - } - - /* if a is negative fudge the sign but keep track */ - neg = a->sign; - a->sign = MP_ZPOS; - - /* t2 = 2 */ - mp_set (&t2, 2); - - do { - /* t1 = t2 */ - if ((res = mp_copy (&t2, &t1)) != MP_OKAY) { - goto LBL_T3; - } - - /* t2 = t1 - ((t1**b - a) / (b * t1**(b-1))) */ - - /* t3 = t1**(b-1) */ - if ((res = mp_expt_d (&t1, b - 1, &t3)) != MP_OKAY) { - goto LBL_T3; - } - - /* numerator */ - /* t2 = t1**b */ - if ((res = mp_mul (&t3, &t1, &t2)) != MP_OKAY) { - goto LBL_T3; - } - - /* t2 = t1**b - a */ - if ((res = mp_sub (&t2, a, &t2)) != MP_OKAY) { - goto LBL_T3; - } - - /* denominator */ - /* t3 = t1**(b-1) * b */ - if ((res = mp_mul_d (&t3, b, &t3)) != MP_OKAY) { - goto LBL_T3; - } - - /* t3 = (t1**b - a)/(b * t1**(b-1)) */ - if ((res = mp_div (&t2, &t3, &t3, NULL)) != MP_OKAY) { - goto LBL_T3; - } - - if ((res = mp_sub (&t1, &t3, &t2)) != MP_OKAY) { - goto LBL_T3; - } - } while (mp_cmp (&t1, &t2) != MP_EQ); - - /* result can be off by a few so check */ - for (;;) { - if ((res = mp_expt_d (&t1, b, &t2)) != MP_OKAY) { - goto LBL_T3; - } - - if (mp_cmp (&t2, a) == MP_GT) { - if ((res = mp_sub_d (&t1, 1, &t1)) != MP_OKAY) { - goto LBL_T3; - } - } else { - break; - } - } - - /* reset the sign of a first */ - a->sign = neg; - - /* set the result */ - mp_exch (&t1, c); - - /* set the sign of the result */ - c->sign = neg; - - res = MP_OKAY; - -LBL_T3:mp_clear (&t3); -LBL_T2:mp_clear (&t2); -LBL_T1:mp_clear (&t1); - return res; -} -#endif - -/* End: bn_mp_n_root.c */ - -/* Start: bn_mp_neg.c */ -#include -#ifdef BN_MP_NEG_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* b = -a */ -int mp_neg (mp_int * a, mp_int * b) -{ - int res; - if (a != b) { - if ((res = mp_copy (a, b)) != MP_OKAY) { - return res; - } - } - - if (mp_iszero(b) != MP_YES) { - b->sign = (a->sign == MP_ZPOS) ? MP_NEG : MP_ZPOS; - } else { - b->sign = MP_ZPOS; - } - - return MP_OKAY; -} -#endif - -/* End: bn_mp_neg.c */ - -/* Start: bn_mp_or.c */ -#include -#ifdef BN_MP_OR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* OR two ints together */ -int mp_or (mp_int * a, mp_int * b, mp_int * c) -{ - int res, ix, px; - mp_int t, *x; - - if (a->used > b->used) { - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - px = b->used; - x = b; - } else { - if ((res = mp_init_copy (&t, b)) != MP_OKAY) { - return res; - } - px = a->used; - x = a; - } - - for (ix = 0; ix < px; ix++) { - t.dp[ix] |= x->dp[ix]; - } - mp_clamp (&t); - mp_exch (c, &t); - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* End: bn_mp_or.c */ - -/* Start: bn_mp_prime_fermat.c */ -#include -#ifdef BN_MP_PRIME_FERMAT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* performs one Fermat test. - * - * If "a" were prime then b**a == b (mod a) since the order of - * the multiplicative sub-group would be phi(a) = a-1. That means - * it would be the same as b**(a mod (a-1)) == b**1 == b (mod a). - * - * Sets result to 1 if the congruence holds, or zero otherwise. - */ -int mp_prime_fermat (mp_int * a, mp_int * b, int *result) -{ - mp_int t; - int err; - - /* default to composite */ - *result = MP_NO; - - /* ensure b > 1 */ - if (mp_cmp_d(b, 1) != MP_GT) { - return MP_VAL; - } - - /* init t */ - if ((err = mp_init (&t)) != MP_OKAY) { - return err; - } - - /* compute t = b**a mod a */ - if ((err = mp_exptmod (b, a, a, &t)) != MP_OKAY) { - goto LBL_T; - } - - /* is it equal to b? */ - if (mp_cmp (&t, b) == MP_EQ) { - *result = MP_YES; - } - - err = MP_OKAY; -LBL_T:mp_clear (&t); - return err; -} -#endif - -/* End: bn_mp_prime_fermat.c */ - -/* Start: bn_mp_prime_is_divisible.c */ -#include -#ifdef BN_MP_PRIME_IS_DIVISIBLE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* determines if an integers is divisible by one - * of the first PRIME_SIZE primes or not - * - * sets result to 0 if not, 1 if yes - */ -int mp_prime_is_divisible (mp_int * a, int *result) -{ - int err, ix; - mp_digit res; - - /* default to not */ - *result = MP_NO; - - for (ix = 0; ix < PRIME_SIZE; ix++) { - /* what is a mod LBL_prime_tab[ix] */ - if ((err = mp_mod_d (a, ltm_prime_tab[ix], &res)) != MP_OKAY) { - return err; - } - - /* is the residue zero? */ - if (res == 0) { - *result = MP_YES; - return MP_OKAY; - } - } - - return MP_OKAY; -} -#endif - -/* End: bn_mp_prime_is_divisible.c */ - -/* Start: bn_mp_prime_is_prime.c */ -#include -#ifdef BN_MP_PRIME_IS_PRIME_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* performs a variable number of rounds of Miller-Rabin - * - * Probability of error after t rounds is no more than - - * - * Sets result to 1 if probably prime, 0 otherwise - */ -int mp_prime_is_prime (mp_int * a, int t, int *result) -{ - mp_int b; - int ix, err, res; - - /* default to no */ - *result = MP_NO; - - /* valid value of t? */ - if (t <= 0 || t > PRIME_SIZE) { - return MP_VAL; - } - - /* is the input equal to one of the primes in the table? */ - for (ix = 0; ix < PRIME_SIZE; ix++) { - if (mp_cmp_d(a, ltm_prime_tab[ix]) == MP_EQ) { - *result = 1; - return MP_OKAY; - } - } - - /* first perform trial division */ - if ((err = mp_prime_is_divisible (a, &res)) != MP_OKAY) { - return err; - } - - /* return if it was trivially divisible */ - if (res == MP_YES) { - return MP_OKAY; - } - - /* now perform the miller-rabin rounds */ - if ((err = mp_init (&b)) != MP_OKAY) { - return err; - } - - for (ix = 0; ix < t; ix++) { - /* set the prime */ - mp_set (&b, ltm_prime_tab[ix]); - - if ((err = mp_prime_miller_rabin (a, &b, &res)) != MP_OKAY) { - goto LBL_B; - } - - if (res == MP_NO) { - goto LBL_B; - } - } - - /* passed the test */ - *result = MP_YES; -LBL_B:mp_clear (&b); - return err; -} -#endif - -/* End: bn_mp_prime_is_prime.c */ - -/* Start: bn_mp_prime_miller_rabin.c */ -#include -#ifdef BN_MP_PRIME_MILLER_RABIN_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* Miller-Rabin test of "a" to the base of "b" as described in - * HAC pp. 139 Algorithm 4.24 - * - * Sets result to 0 if definitely composite or 1 if probably prime. - * Randomly the chance of error is no more than 1/4 and often - * very much lower. - */ -int mp_prime_miller_rabin (mp_int * a, mp_int * b, int *result) -{ - mp_int n1, y, r; - int s, j, err; - - /* default */ - *result = MP_NO; - - /* ensure b > 1 */ - if (mp_cmp_d(b, 1) != MP_GT) { - return MP_VAL; - } - - /* get n1 = a - 1 */ - if ((err = mp_init_copy (&n1, a)) != MP_OKAY) { - return err; - } - if ((err = mp_sub_d (&n1, 1, &n1)) != MP_OKAY) { - goto LBL_N1; - } - - /* set 2**s * r = n1 */ - if ((err = mp_init_copy (&r, &n1)) != MP_OKAY) { - goto LBL_N1; - } - - /* count the number of least significant bits - * which are zero - */ - s = mp_cnt_lsb(&r); - - /* now divide n - 1 by 2**s */ - if ((err = mp_div_2d (&r, s, &r, NULL)) != MP_OKAY) { - goto LBL_R; - } - - /* compute y = b**r mod a */ - if ((err = mp_init (&y)) != MP_OKAY) { - goto LBL_R; - } - if ((err = mp_exptmod (b, &r, a, &y)) != MP_OKAY) { - goto LBL_Y; - } - - /* if y != 1 and y != n1 do */ - if (mp_cmp_d (&y, 1) != MP_EQ && mp_cmp (&y, &n1) != MP_EQ) { - j = 1; - /* while j <= s-1 and y != n1 */ - while ((j <= (s - 1)) && mp_cmp (&y, &n1) != MP_EQ) { - if ((err = mp_sqrmod (&y, a, &y)) != MP_OKAY) { - goto LBL_Y; - } - - /* if y == 1 then composite */ - if (mp_cmp_d (&y, 1) == MP_EQ) { - goto LBL_Y; - } - - ++j; - } - - /* if y != n1 then composite */ - if (mp_cmp (&y, &n1) != MP_EQ) { - goto LBL_Y; - } - } - - /* probably prime now */ - *result = MP_YES; -LBL_Y:mp_clear (&y); -LBL_R:mp_clear (&r); -LBL_N1:mp_clear (&n1); - return err; -} -#endif - -/* End: bn_mp_prime_miller_rabin.c */ - -/* Start: bn_mp_prime_next_prime.c */ -#include -#ifdef BN_MP_PRIME_NEXT_PRIME_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* finds the next prime after the number "a" using "t" trials - * of Miller-Rabin. - * - * bbs_style = 1 means the prime must be congruent to 3 mod 4 - */ -int mp_prime_next_prime(mp_int *a, int t, int bbs_style) -{ - int err, res, x, y; - mp_digit res_tab[PRIME_SIZE], step, kstep; - mp_int b; - - /* ensure t is valid */ - if (t <= 0 || t > PRIME_SIZE) { - return MP_VAL; - } - - /* force positive */ - a->sign = MP_ZPOS; - - /* simple algo if a is less than the largest prime in the table */ - if (mp_cmp_d(a, ltm_prime_tab[PRIME_SIZE-1]) == MP_LT) { - /* find which prime it is bigger than */ - for (x = PRIME_SIZE - 2; x >= 0; x--) { - if (mp_cmp_d(a, ltm_prime_tab[x]) != MP_LT) { - if (bbs_style == 1) { - /* ok we found a prime smaller or - * equal [so the next is larger] - * - * however, the prime must be - * congruent to 3 mod 4 - */ - if ((ltm_prime_tab[x + 1] & 3) != 3) { - /* scan upwards for a prime congruent to 3 mod 4 */ - for (y = x + 1; y < PRIME_SIZE; y++) { - if ((ltm_prime_tab[y] & 3) == 3) { - mp_set(a, ltm_prime_tab[y]); - return MP_OKAY; - } - } - } - } else { - mp_set(a, ltm_prime_tab[x + 1]); - return MP_OKAY; - } - } - } - /* at this point a maybe 1 */ - if (mp_cmp_d(a, 1) == MP_EQ) { - mp_set(a, 2); - return MP_OKAY; - } - /* fall through to the sieve */ - } - - /* generate a prime congruent to 3 mod 4 or 1/3 mod 4? */ - if (bbs_style == 1) { - kstep = 4; - } else { - kstep = 2; - } - - /* at this point we will use a combination of a sieve and Miller-Rabin */ - - if (bbs_style == 1) { - /* if a mod 4 != 3 subtract the correct value to make it so */ - if ((a->dp[0] & 3) != 3) { - if ((err = mp_sub_d(a, (a->dp[0] & 3) + 1, a)) != MP_OKAY) { return err; }; - } - } else { - if (mp_iseven(a) == 1) { - /* force odd */ - if ((err = mp_sub_d(a, 1, a)) != MP_OKAY) { - return err; - } - } - } - - /* generate the restable */ - for (x = 1; x < PRIME_SIZE; x++) { - if ((err = mp_mod_d(a, ltm_prime_tab[x], res_tab + x)) != MP_OKAY) { - return err; - } - } - - /* init temp used for Miller-Rabin Testing */ - if ((err = mp_init(&b)) != MP_OKAY) { - return err; - } - - for (;;) { - /* skip to the next non-trivially divisible candidate */ - step = 0; - do { - /* y == 1 if any residue was zero [e.g. cannot be prime] */ - y = 0; - - /* increase step to next candidate */ - step += kstep; - - /* compute the new residue without using division */ - for (x = 1; x < PRIME_SIZE; x++) { - /* add the step to each residue */ - res_tab[x] += kstep; - - /* subtract the modulus [instead of using division] */ - if (res_tab[x] >= ltm_prime_tab[x]) { - res_tab[x] -= ltm_prime_tab[x]; - } - - /* set flag if zero */ - if (res_tab[x] == 0) { - y = 1; - } - } - } while (y == 1 && step < ((((mp_digit)1)<= ((((mp_digit)1)< -#ifdef BN_MP_PRIME_RABIN_MILLER_TRIALS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - - -static const struct { - int k, t; -} sizes[] = { -{ 128, 28 }, -{ 256, 16 }, -{ 384, 10 }, -{ 512, 7 }, -{ 640, 6 }, -{ 768, 5 }, -{ 896, 4 }, -{ 1024, 4 } -}; - -/* returns # of RM trials required for a given bit size */ -int mp_prime_rabin_miller_trials(int size) -{ - int x; - - for (x = 0; x < (int)(sizeof(sizes)/(sizeof(sizes[0]))); x++) { - if (sizes[x].k == size) { - return sizes[x].t; - } else if (sizes[x].k > size) { - return (x == 0) ? sizes[0].t : sizes[x - 1].t; - } - } - return sizes[x-1].t + 1; -} - - -#endif - -/* End: bn_mp_prime_rabin_miller_trials.c */ - -/* Start: bn_mp_prime_random_ex.c */ -#include -#ifdef BN_MP_PRIME_RANDOM_EX_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* makes a truly random prime of a given size (bits), - * - * Flags are as follows: - * - * LTM_PRIME_BBS - make prime congruent to 3 mod 4 - * LTM_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies LTM_PRIME_BBS) - * LTM_PRIME_2MSB_OFF - make the 2nd highest bit zero - * LTM_PRIME_2MSB_ON - make the 2nd highest bit one - * - * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can - * have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself - * so it can be NULL - * - */ - -/* This is possibly the mother of all prime generation functions, muahahahahaha! */ -int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback cb, void *dat) -{ - unsigned char *tmp, maskAND, maskOR_msb, maskOR_lsb; - int res, err, bsize, maskOR_msb_offset; - - /* sanity check the input */ - if (size <= 1 || t <= 0) { - return MP_VAL; - } - - /* LTM_PRIME_SAFE implies LTM_PRIME_BBS */ - if (flags & LTM_PRIME_SAFE) { - flags |= LTM_PRIME_BBS; - } - - /* calc the byte size */ - bsize = (size>>3) + ((size&7)?1:0); - - /* we need a buffer of bsize bytes */ - tmp = OPT_CAST(unsigned char) XMALLOC(bsize); - if (tmp == NULL) { - return MP_MEM; - } - - /* calc the maskAND value for the MSbyte*/ - maskAND = ((size&7) == 0) ? 0xFF : (0xFF >> (8 - (size & 7))); - - /* calc the maskOR_msb */ - maskOR_msb = 0; - maskOR_msb_offset = ((size & 7) == 1) ? 1 : 0; - if (flags & LTM_PRIME_2MSB_ON) { - maskOR_msb |= 0x80 >> ((9 - size) & 7); - } - - /* get the maskOR_lsb */ - maskOR_lsb = 1; - if (flags & LTM_PRIME_BBS) { - maskOR_lsb |= 3; - } - - do { - /* read the bytes */ - if (cb(tmp, bsize, dat) != bsize) { - err = MP_VAL; - goto error; - } - - /* work over the MSbyte */ - tmp[0] &= maskAND; - tmp[0] |= 1 << ((size - 1) & 7); - - /* mix in the maskORs */ - tmp[maskOR_msb_offset] |= maskOR_msb; - tmp[bsize-1] |= maskOR_lsb; - - /* read it in */ - if ((err = mp_read_unsigned_bin(a, tmp, bsize)) != MP_OKAY) { goto error; } - - /* is it prime? */ - if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) { goto error; } - if (res == MP_NO) { - continue; - } - - if (flags & LTM_PRIME_SAFE) { - /* see if (a-1)/2 is prime */ - if ((err = mp_sub_d(a, 1, a)) != MP_OKAY) { goto error; } - if ((err = mp_div_2(a, a)) != MP_OKAY) { goto error; } - - /* is it prime? */ - if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) { goto error; } - } - } while (res == MP_NO); - - if (flags & LTM_PRIME_SAFE) { - /* restore a to the original value */ - if ((err = mp_mul_2(a, a)) != MP_OKAY) { goto error; } - if ((err = mp_add_d(a, 1, a)) != MP_OKAY) { goto error; } - } - - err = MP_OKAY; -error: - XFREE(tmp); - return err; -} - - -#endif - -/* End: bn_mp_prime_random_ex.c */ - -/* Start: bn_mp_radix_size.c */ -#include -#ifdef BN_MP_RADIX_SIZE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* returns size of ASCII reprensentation */ -int mp_radix_size (mp_int * a, int radix, int *size) -{ - int res, digs; - mp_int t; - mp_digit d; - - *size = 0; - - /* special case for binary */ - if (radix == 2) { - *size = mp_count_bits (a) + (a->sign == MP_NEG ? 1 : 0) + 1; - return MP_OKAY; - } - - /* make sure the radix is in range */ - if (radix < 2 || radix > 64) { - return MP_VAL; - } - - if (mp_iszero(a) == MP_YES) { - *size = 2; - return MP_OKAY; - } - - /* digs is the digit count */ - digs = 0; - - /* if it's negative add one for the sign */ - if (a->sign == MP_NEG) { - ++digs; - } - - /* init a copy of the input */ - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - - /* force temp to positive */ - t.sign = MP_ZPOS; - - /* fetch out all of the digits */ - while (mp_iszero (&t) == MP_NO) { - if ((res = mp_div_d (&t, (mp_digit) radix, &t, &d)) != MP_OKAY) { - mp_clear (&t); - return res; - } - ++digs; - } - mp_clear (&t); - - /* return digs + 1, the 1 is for the NULL byte that would be required. */ - *size = digs + 1; - return MP_OKAY; -} - -#endif - -/* End: bn_mp_radix_size.c */ - -/* Start: bn_mp_radix_smap.c */ -#include -#ifdef BN_MP_RADIX_SMAP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* chars used in radix conversions */ -const char *mp_s_rmap = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz+/"; -#endif - -/* End: bn_mp_radix_smap.c */ - -/* Start: bn_mp_rand.c */ -#include -#ifdef BN_MP_RAND_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* makes a pseudo-random int of a given size */ -int -mp_rand (mp_int * a, int digits) -{ - int res; - mp_digit d; - - mp_zero (a); - if (digits <= 0) { - return MP_OKAY; - } - - /* first place a random non-zero digit */ - do { - d = ((mp_digit) abs (rand ())) & MP_MASK; - } while (d == 0); - - if ((res = mp_add_d (a, d, a)) != MP_OKAY) { - return res; - } - - while (--digits > 0) { - if ((res = mp_lshd (a, 1)) != MP_OKAY) { - return res; - } - - if ((res = mp_add_d (a, ((mp_digit) abs (rand ())), a)) != MP_OKAY) { - return res; - } - } - - return MP_OKAY; -} -#endif - -/* End: bn_mp_rand.c */ - -/* Start: bn_mp_read_radix.c */ -#include -#ifdef BN_MP_READ_RADIX_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* read a string [ASCII] in a given radix */ -int mp_read_radix (mp_int * a, const char *str, int radix) -{ - int y, res, neg; - char ch; - - /* zero the digit bignum */ - mp_zero(a); - - /* make sure the radix is ok */ - if (radix < 2 || radix > 64) { - return MP_VAL; - } - - /* if the leading digit is a - * minus set the sign to negative. - */ - if (*str == '-') { - ++str; - neg = MP_NEG; - } else { - neg = MP_ZPOS; - } - - /* set the integer to the default of zero */ - mp_zero (a); - - /* process each digit of the string */ - while (*str) { - /* if the radix < 36 the conversion is case insensitive - * this allows numbers like 1AB and 1ab to represent the same value - * [e.g. in hex] - */ - ch = (char) ((radix < 36) ? toupper (*str) : *str); - for (y = 0; y < 64; y++) { - if (ch == mp_s_rmap[y]) { - break; - } - } - - /* if the char was found in the map - * and is less than the given radix add it - * to the number, otherwise exit the loop. - */ - if (y < radix) { - if ((res = mp_mul_d (a, (mp_digit) radix, a)) != MP_OKAY) { - return res; - } - if ((res = mp_add_d (a, (mp_digit) y, a)) != MP_OKAY) { - return res; - } - } else { - break; - } - ++str; - } - - /* set the sign only if a != 0 */ - if (mp_iszero(a) != 1) { - a->sign = neg; - } - return MP_OKAY; -} -#endif - -/* End: bn_mp_read_radix.c */ - -/* Start: bn_mp_read_signed_bin.c */ -#include -#ifdef BN_MP_READ_SIGNED_BIN_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* read signed bin, big endian, first byte is 0==positive or 1==negative */ -int mp_read_signed_bin (mp_int * a, const unsigned char *b, int c) -{ - int res; - - /* read magnitude */ - if ((res = mp_read_unsigned_bin (a, b + 1, c - 1)) != MP_OKAY) { - return res; - } - - /* first byte is 0 for positive, non-zero for negative */ - if (b[0] == 0) { - a->sign = MP_ZPOS; - } else { - a->sign = MP_NEG; - } - - return MP_OKAY; -} -#endif - -/* End: bn_mp_read_signed_bin.c */ - -/* Start: bn_mp_read_unsigned_bin.c */ -#include -#ifdef BN_MP_READ_UNSIGNED_BIN_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* reads a unsigned char array, assumes the msb is stored first [big endian] */ -int mp_read_unsigned_bin (mp_int * a, const unsigned char *b, int c) -{ - int res; - - /* make sure there are at least two digits */ - if (a->alloc < 2) { - if ((res = mp_grow(a, 2)) != MP_OKAY) { - return res; - } - } - - /* zero the int */ - mp_zero (a); - - /* read the bytes in */ - while (c-- > 0) { - if ((res = mp_mul_2d (a, 8, a)) != MP_OKAY) { - return res; - } - -#ifndef MP_8BIT - a->dp[0] |= *b++; - a->used += 1; -#else - a->dp[0] = (*b & MP_MASK); - a->dp[1] |= ((*b++ >> 7U) & 1); - a->used += 2; -#endif - } - mp_clamp (a); - return MP_OKAY; -} -#endif - -/* End: bn_mp_read_unsigned_bin.c */ - -/* Start: bn_mp_reduce.c */ -#include -#ifdef BN_MP_REDUCE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* reduces x mod m, assumes 0 < x < m**2, mu is - * precomputed via mp_reduce_setup. - * From HAC pp.604 Algorithm 14.42 - */ -int mp_reduce (mp_int * x, mp_int * m, mp_int * mu) -{ - mp_int q; - int res, um = m->used; - - /* q = x */ - if ((res = mp_init_copy (&q, x)) != MP_OKAY) { - return res; - } - - /* q1 = x / b**(k-1) */ - mp_rshd (&q, um - 1); - - /* according to HAC this optimization is ok */ - if (((unsigned long) um) > (((mp_digit)1) << (DIGIT_BIT - 1))) { - if ((res = mp_mul (&q, mu, &q)) != MP_OKAY) { - goto CLEANUP; - } - } else { -#ifdef BN_S_MP_MUL_HIGH_DIGS_C - if ((res = s_mp_mul_high_digs (&q, mu, &q, um)) != MP_OKAY) { - goto CLEANUP; - } -#elif defined(BN_FAST_S_MP_MUL_HIGH_DIGS_C) - if ((res = fast_s_mp_mul_high_digs (&q, mu, &q, um)) != MP_OKAY) { - goto CLEANUP; - } -#else - { - res = MP_VAL; - goto CLEANUP; - } -#endif - } - - /* q3 = q2 / b**(k+1) */ - mp_rshd (&q, um + 1); - - /* x = x mod b**(k+1), quick (no division) */ - if ((res = mp_mod_2d (x, DIGIT_BIT * (um + 1), x)) != MP_OKAY) { - goto CLEANUP; - } - - /* q = q * m mod b**(k+1), quick (no division) */ - if ((res = s_mp_mul_digs (&q, m, &q, um + 1)) != MP_OKAY) { - goto CLEANUP; - } - - /* x = x - q */ - if ((res = mp_sub (x, &q, x)) != MP_OKAY) { - goto CLEANUP; - } - - /* If x < 0, add b**(k+1) to it */ - if (mp_cmp_d (x, 0) == MP_LT) { - mp_set (&q, 1); - if ((res = mp_lshd (&q, um + 1)) != MP_OKAY) - goto CLEANUP; - if ((res = mp_add (x, &q, x)) != MP_OKAY) - goto CLEANUP; - } - - /* Back off if it's too big */ - while (mp_cmp (x, m) != MP_LT) { - if ((res = s_mp_sub (x, m, x)) != MP_OKAY) { - goto CLEANUP; - } - } - -CLEANUP: - mp_clear (&q); - - return res; -} -#endif - -/* End: bn_mp_reduce.c */ - -/* Start: bn_mp_reduce_2k.c */ -#include -#ifdef BN_MP_REDUCE_2K_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* reduces a modulo n where n is of the form 2**p - d */ -int mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d) -{ - mp_int q; - int p, res; - - if ((res = mp_init(&q)) != MP_OKAY) { - return res; - } - - p = mp_count_bits(n); -top: - /* q = a/2**p, a = a mod 2**p */ - if ((res = mp_div_2d(a, p, &q, a)) != MP_OKAY) { - goto ERR; - } - - if (d != 1) { - /* q = q * d */ - if ((res = mp_mul_d(&q, d, &q)) != MP_OKAY) { - goto ERR; - } - } - - /* a = a + q */ - if ((res = s_mp_add(a, &q, a)) != MP_OKAY) { - goto ERR; - } - - if (mp_cmp_mag(a, n) != MP_LT) { - s_mp_sub(a, n, a); - goto top; - } - -ERR: - mp_clear(&q); - return res; -} - -#endif - -/* End: bn_mp_reduce_2k.c */ - -/* Start: bn_mp_reduce_2k_l.c */ -#include -#ifdef BN_MP_REDUCE_2K_L_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* reduces a modulo n where n is of the form 2**p - d - This differs from reduce_2k since "d" can be larger - than a single digit. -*/ -int mp_reduce_2k_l(mp_int *a, mp_int *n, mp_int *d) -{ - mp_int q; - int p, res; - - if ((res = mp_init(&q)) != MP_OKAY) { - return res; - } - - p = mp_count_bits(n); -top: - /* q = a/2**p, a = a mod 2**p */ - if ((res = mp_div_2d(a, p, &q, a)) != MP_OKAY) { - goto ERR; - } - - /* q = q * d */ - if ((res = mp_mul(&q, d, &q)) != MP_OKAY) { - goto ERR; - } - - /* a = a + q */ - if ((res = s_mp_add(a, &q, a)) != MP_OKAY) { - goto ERR; - } - - if (mp_cmp_mag(a, n) != MP_LT) { - s_mp_sub(a, n, a); - goto top; - } - -ERR: - mp_clear(&q); - return res; -} - -#endif - -/* End: bn_mp_reduce_2k_l.c */ - -/* Start: bn_mp_reduce_2k_setup.c */ -#include -#ifdef BN_MP_REDUCE_2K_SETUP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* determines the setup value */ -int mp_reduce_2k_setup(mp_int *a, mp_digit *d) -{ - int res, p; - mp_int tmp; - - if ((res = mp_init(&tmp)) != MP_OKAY) { - return res; - } - - p = mp_count_bits(a); - if ((res = mp_2expt(&tmp, p)) != MP_OKAY) { - mp_clear(&tmp); - return res; - } - - if ((res = s_mp_sub(&tmp, a, &tmp)) != MP_OKAY) { - mp_clear(&tmp); - return res; - } - - *d = tmp.dp[0]; - mp_clear(&tmp); - return MP_OKAY; -} -#endif - -/* End: bn_mp_reduce_2k_setup.c */ - -/* Start: bn_mp_reduce_2k_setup_l.c */ -#include -#ifdef BN_MP_REDUCE_2K_SETUP_L_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* determines the setup value */ -int mp_reduce_2k_setup_l(mp_int *a, mp_int *d) -{ - int res; - mp_int tmp; - - if ((res = mp_init(&tmp)) != MP_OKAY) { - return res; - } - - if ((res = mp_2expt(&tmp, mp_count_bits(a))) != MP_OKAY) { - goto ERR; - } - - if ((res = s_mp_sub(&tmp, a, d)) != MP_OKAY) { - goto ERR; - } - -ERR: - mp_clear(&tmp); - return res; -} -#endif - -/* End: bn_mp_reduce_2k_setup_l.c */ - -/* Start: bn_mp_reduce_is_2k.c */ -#include -#ifdef BN_MP_REDUCE_IS_2K_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* determines if mp_reduce_2k can be used */ -int mp_reduce_is_2k(mp_int *a) -{ - int ix, iy, iw; - mp_digit iz; - - if (a->used == 0) { - return MP_NO; - } else if (a->used == 1) { - return MP_YES; - } else if (a->used > 1) { - iy = mp_count_bits(a); - iz = 1; - iw = 1; - - /* Test every bit from the second digit up, must be 1 */ - for (ix = DIGIT_BIT; ix < iy; ix++) { - if ((a->dp[iw] & iz) == 0) { - return MP_NO; - } - iz <<= 1; - if (iz > (mp_digit)MP_MASK) { - ++iw; - iz = 1; - } - } - } - return MP_YES; -} - -#endif - -/* End: bn_mp_reduce_is_2k.c */ - -/* Start: bn_mp_reduce_is_2k_l.c */ -#include -#ifdef BN_MP_REDUCE_IS_2K_L_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* determines if reduce_2k_l can be used */ -int mp_reduce_is_2k_l(mp_int *a) -{ - int ix, iy; - - if (a->used == 0) { - return MP_NO; - } else if (a->used == 1) { - return MP_YES; - } else if (a->used > 1) { - /* if more than half of the digits are -1 we're sold */ - for (iy = ix = 0; ix < a->used; ix++) { - if (a->dp[ix] == MP_MASK) { - ++iy; - } - } - return (iy >= (a->used/2)) ? MP_YES : MP_NO; - - } - return MP_NO; -} - -#endif - -/* End: bn_mp_reduce_is_2k_l.c */ - -/* Start: bn_mp_reduce_setup.c */ -#include -#ifdef BN_MP_REDUCE_SETUP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* pre-calculate the value required for Barrett reduction - * For a given modulus "b" it calulates the value required in "a" - */ -int mp_reduce_setup (mp_int * a, mp_int * b) -{ - int res; - - if ((res = mp_2expt (a, b->used * 2 * DIGIT_BIT)) != MP_OKAY) { - return res; - } - return mp_div (a, b, a, NULL); -} -#endif - -/* End: bn_mp_reduce_setup.c */ - -/* Start: bn_mp_rshd.c */ -#include -#ifdef BN_MP_RSHD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* shift right a certain amount of digits */ -void mp_rshd (mp_int * a, int b) -{ - int x; - - /* if b <= 0 then ignore it */ - if (b <= 0) { - return; - } - - /* if b > used then simply zero it and return */ - if (a->used <= b) { - mp_zero (a); - return; - } - - { - register mp_digit *bottom, *top; - - /* shift the digits down */ - - /* bottom */ - bottom = a->dp; - - /* top [offset into digits] */ - top = a->dp + b; - - /* this is implemented as a sliding window where - * the window is b-digits long and digits from - * the top of the window are copied to the bottom - * - * e.g. - - b-2 | b-1 | b0 | b1 | b2 | ... | bb | ----> - /\ | ----> - \-------------------/ ----> - */ - for (x = 0; x < (a->used - b); x++) { - *bottom++ = *top++; - } - - /* zero the top digits */ - for (; x < a->used; x++) { - *bottom++ = 0; - } - } - - /* remove excess digits */ - a->used -= b; -} -#endif - -/* End: bn_mp_rshd.c */ - -/* Start: bn_mp_set.c */ -#include -#ifdef BN_MP_SET_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* set to a digit */ -void mp_set (mp_int * a, mp_digit b) -{ - mp_zero (a); - a->dp[0] = b & MP_MASK; - a->used = (a->dp[0] != 0) ? 1 : 0; -} -#endif - -/* End: bn_mp_set.c */ - -/* Start: bn_mp_set_int.c */ -#include -#ifdef BN_MP_SET_INT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* set a 32-bit const */ -int mp_set_int (mp_int * a, unsigned long b) -{ - int x, res; - - mp_zero (a); - - /* set four bits at a time */ - for (x = 0; x < 8; x++) { - /* shift the number up four bits */ - if ((res = mp_mul_2d (a, 4, a)) != MP_OKAY) { - return res; - } - - /* OR in the top four bits of the source */ - a->dp[0] |= (b >> 28) & 15; - - /* shift the source up to the next four bits */ - b <<= 4; - - /* ensure that digits are not clamped off */ - a->used += 1; - } - mp_clamp (a); - return MP_OKAY; -} -#endif - -/* End: bn_mp_set_int.c */ - -/* Start: bn_mp_shrink.c */ -#include -#ifdef BN_MP_SHRINK_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* shrink a bignum */ -int mp_shrink (mp_int * a) -{ - mp_digit *tmp; - int used = 1; - - if(a->used > 0) - used = a->used; - - if (a->alloc != used) { - if ((tmp = OPT_CAST(mp_digit) XREALLOC (a->dp, sizeof (mp_digit) * used)) == NULL) { - return MP_MEM; - } - a->dp = tmp; - a->alloc = used; - } - return MP_OKAY; -} -#endif - -/* End: bn_mp_shrink.c */ - -/* Start: bn_mp_signed_bin_size.c */ -#include -#ifdef BN_MP_SIGNED_BIN_SIZE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* get the size for an signed equivalent */ -int mp_signed_bin_size (mp_int * a) -{ - return 1 + mp_unsigned_bin_size (a); -} -#endif - -/* End: bn_mp_signed_bin_size.c */ - -/* Start: bn_mp_sqr.c */ -#include -#ifdef BN_MP_SQR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* computes b = a*a */ -int -mp_sqr (mp_int * a, mp_int * b) -{ - int res; - -#ifdef BN_MP_TOOM_SQR_C - /* use Toom-Cook? */ - if (a->used >= TOOM_SQR_CUTOFF) { - res = mp_toom_sqr(a, b); - /* Karatsuba? */ - } else -#endif -#ifdef BN_MP_KARATSUBA_SQR_C -if (a->used >= KARATSUBA_SQR_CUTOFF) { - res = mp_karatsuba_sqr (a, b); - } else -#endif - { -#ifdef BN_FAST_S_MP_SQR_C - /* can we use the fast comba multiplier? */ - if ((a->used * 2 + 1) < MP_WARRAY && - a->used < - (1 << (sizeof(mp_word) * CHAR_BIT - 2*DIGIT_BIT - 1))) { - res = fast_s_mp_sqr (a, b); - } else -#endif -#ifdef BN_S_MP_SQR_C - res = s_mp_sqr (a, b); -#else - res = MP_VAL; -#endif - } - b->sign = MP_ZPOS; - return res; -} -#endif - -/* End: bn_mp_sqr.c */ - -/* Start: bn_mp_sqrmod.c */ -#include -#ifdef BN_MP_SQRMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* c = a * a (mod b) */ -int -mp_sqrmod (mp_int * a, mp_int * b, mp_int * c) -{ - int res; - mp_int t; - - if ((res = mp_init (&t)) != MP_OKAY) { - return res; - } - - if ((res = mp_sqr (a, &t)) != MP_OKAY) { - mp_clear (&t); - return res; - } - res = mp_mod (&t, b, c); - mp_clear (&t); - return res; -} -#endif - -/* End: bn_mp_sqrmod.c */ - -/* Start: bn_mp_sqrt.c */ -#include - -#ifdef BN_MP_SQRT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* this function is less generic than mp_n_root, simpler and faster */ -int mp_sqrt(mp_int *arg, mp_int *ret) -{ - int res; - mp_int t1,t2; - - /* must be positive */ - if (arg->sign == MP_NEG) { - return MP_VAL; - } - - /* easy out */ - if (mp_iszero(arg) == MP_YES) { - mp_zero(ret); - return MP_OKAY; - } - - if ((res = mp_init_copy(&t1, arg)) != MP_OKAY) { - return res; - } - - if ((res = mp_init(&t2)) != MP_OKAY) { - goto E2; - } - - /* First approx. (not very bad for large arg) */ - mp_rshd (&t1,t1.used/2); - - /* t1 > 0 */ - if ((res = mp_div(arg,&t1,&t2,NULL)) != MP_OKAY) { - goto E1; - } - if ((res = mp_add(&t1,&t2,&t1)) != MP_OKAY) { - goto E1; - } - if ((res = mp_div_2(&t1,&t1)) != MP_OKAY) { - goto E1; - } - /* And now t1 > sqrt(arg) */ - do { - if ((res = mp_div(arg,&t1,&t2,NULL)) != MP_OKAY) { - goto E1; - } - if ((res = mp_add(&t1,&t2,&t1)) != MP_OKAY) { - goto E1; - } - if ((res = mp_div_2(&t1,&t1)) != MP_OKAY) { - goto E1; - } - /* t1 >= sqrt(arg) >= t2 at this point */ - } while (mp_cmp_mag(&t1,&t2) == MP_GT); - - mp_exch(&t1,ret); - -E1: mp_clear(&t2); -E2: mp_clear(&t1); - return res; -} - -#endif - -/* End: bn_mp_sqrt.c */ - -/* Start: bn_mp_sub.c */ -#include -#ifdef BN_MP_SUB_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* high level subtraction (handles signs) */ -int -mp_sub (mp_int * a, mp_int * b, mp_int * c) -{ - int sa, sb, res; - - sa = a->sign; - sb = b->sign; - - if (sa != sb) { - /* subtract a negative from a positive, OR */ - /* subtract a positive from a negative. */ - /* In either case, ADD their magnitudes, */ - /* and use the sign of the first number. */ - c->sign = sa; - res = s_mp_add (a, b, c); - } else { - /* subtract a positive from a positive, OR */ - /* subtract a negative from a negative. */ - /* First, take the difference between their */ - /* magnitudes, then... */ - if (mp_cmp_mag (a, b) != MP_LT) { - /* Copy the sign from the first */ - c->sign = sa; - /* The first has a larger or equal magnitude */ - res = s_mp_sub (a, b, c); - } else { - /* The result has the *opposite* sign from */ - /* the first number. */ - c->sign = (sa == MP_ZPOS) ? MP_NEG : MP_ZPOS; - /* The second has a larger magnitude */ - res = s_mp_sub (b, a, c); - } - } - return res; -} - -#endif - -/* End: bn_mp_sub.c */ - -/* Start: bn_mp_sub_d.c */ -#include -#ifdef BN_MP_SUB_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* single digit subtraction */ -int -mp_sub_d (mp_int * a, mp_digit b, mp_int * c) -{ - mp_digit *tmpa, *tmpc, mu; - int res, ix, oldused; - - /* grow c as required */ - if (c->alloc < a->used + 1) { - if ((res = mp_grow(c, a->used + 1)) != MP_OKAY) { - return res; - } - } - - /* if a is negative just do an unsigned - * addition [with fudged signs] - */ - if (a->sign == MP_NEG) { - a->sign = MP_ZPOS; - res = mp_add_d(a, b, c); - a->sign = c->sign = MP_NEG; - - /* clamp */ - mp_clamp(c); - - return res; - } - - /* setup regs */ - oldused = c->used; - tmpa = a->dp; - tmpc = c->dp; - - /* if a <= b simply fix the single digit */ - if ((a->used == 1 && a->dp[0] <= b) || a->used == 0) { - if (a->used == 1) { - *tmpc++ = b - *tmpa; - } else { - *tmpc++ = b; - } - ix = 1; - - /* negative/1digit */ - c->sign = MP_NEG; - c->used = 1; - } else { - /* positive/size */ - c->sign = MP_ZPOS; - c->used = a->used; - - /* subtract first digit */ - *tmpc = *tmpa++ - b; - mu = *tmpc >> (sizeof(mp_digit) * CHAR_BIT - 1); - *tmpc++ &= MP_MASK; - - /* handle rest of the digits */ - for (ix = 1; ix < a->used; ix++) { - *tmpc = *tmpa++ - mu; - mu = *tmpc >> (sizeof(mp_digit) * CHAR_BIT - 1); - *tmpc++ &= MP_MASK; - } - } - - /* zero excess digits */ - while (ix++ < oldused) { - *tmpc++ = 0; - } - mp_clamp(c); - return MP_OKAY; -} - -#endif - -/* End: bn_mp_sub_d.c */ - -/* Start: bn_mp_submod.c */ -#include -#ifdef BN_MP_SUBMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* d = a - b (mod c) */ -int -mp_submod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) -{ - int res; - mp_int t; - - - if ((res = mp_init (&t)) != MP_OKAY) { - return res; - } - - if ((res = mp_sub (a, b, &t)) != MP_OKAY) { - mp_clear (&t); - return res; - } - res = mp_mod (&t, c, d); - mp_clear (&t); - return res; -} -#endif - -/* End: bn_mp_submod.c */ - -/* Start: bn_mp_to_signed_bin.c */ -#include -#ifdef BN_MP_TO_SIGNED_BIN_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* store in signed [big endian] format */ -int mp_to_signed_bin (mp_int * a, unsigned char *b) -{ - int res; - - if ((res = mp_to_unsigned_bin (a, b + 1)) != MP_OKAY) { - return res; - } - b[0] = (unsigned char) ((a->sign == MP_ZPOS) ? 0 : 1); - return MP_OKAY; -} -#endif - -/* End: bn_mp_to_signed_bin.c */ - -/* Start: bn_mp_to_signed_bin_n.c */ -#include -#ifdef BN_MP_TO_SIGNED_BIN_N_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* store in signed [big endian] format */ -int mp_to_signed_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) -{ - if (*outlen < (unsigned long)mp_signed_bin_size(a)) { - return MP_VAL; - } - *outlen = mp_signed_bin_size(a); - return mp_to_signed_bin(a, b); -} -#endif - -/* End: bn_mp_to_signed_bin_n.c */ - -/* Start: bn_mp_to_unsigned_bin.c */ -#include -#ifdef BN_MP_TO_UNSIGNED_BIN_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* store in unsigned [big endian] format */ -int mp_to_unsigned_bin (mp_int * a, unsigned char *b) -{ - int x, res; - mp_int t; - - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - - x = 0; - while (mp_iszero (&t) == 0) { -#ifndef MP_8BIT - b[x++] = (unsigned char) (t.dp[0] & 255); -#else - b[x++] = (unsigned char) (t.dp[0] | ((t.dp[1] & 0x01) << 7)); -#endif - if ((res = mp_div_2d (&t, 8, &t, NULL)) != MP_OKAY) { - mp_clear (&t); - return res; - } - } - bn_reverse (b, x); - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* End: bn_mp_to_unsigned_bin.c */ - -/* Start: bn_mp_to_unsigned_bin_n.c */ -#include -#ifdef BN_MP_TO_UNSIGNED_BIN_N_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* store in unsigned [big endian] format */ -int mp_to_unsigned_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) -{ - if (*outlen < (unsigned long)mp_unsigned_bin_size(a)) { - return MP_VAL; - } - *outlen = mp_unsigned_bin_size(a); - return mp_to_unsigned_bin(a, b); -} -#endif - -/* End: bn_mp_to_unsigned_bin_n.c */ - -/* Start: bn_mp_toom_mul.c */ -#include -#ifdef BN_MP_TOOM_MUL_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* multiplication using the Toom-Cook 3-way algorithm - * - * Much more complicated than Karatsuba but has a lower - * asymptotic running time of O(N**1.464). This algorithm is - * only particularly useful on VERY large inputs - * (we're talking 1000s of digits here...). -*/ -int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) -{ - mp_int w0, w1, w2, w3, w4, tmp1, tmp2, a0, a1, a2, b0, b1, b2; - int res, B; - - /* init temps */ - if ((res = mp_init_multi(&w0, &w1, &w2, &w3, &w4, - &a0, &a1, &a2, &b0, &b1, - &b2, &tmp1, &tmp2, NULL)) != MP_OKAY) { - return res; - } - - /* B */ - B = MIN(a->used, b->used) / 3; - - /* a = a2 * B**2 + a1 * B + a0 */ - if ((res = mp_mod_2d(a, DIGIT_BIT * B, &a0)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_copy(a, &a1)) != MP_OKAY) { - goto ERR; - } - mp_rshd(&a1, B); - mp_mod_2d(&a1, DIGIT_BIT * B, &a1); - - if ((res = mp_copy(a, &a2)) != MP_OKAY) { - goto ERR; - } - mp_rshd(&a2, B*2); - - /* b = b2 * B**2 + b1 * B + b0 */ - if ((res = mp_mod_2d(b, DIGIT_BIT * B, &b0)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_copy(b, &b1)) != MP_OKAY) { - goto ERR; - } - mp_rshd(&b1, B); - mp_mod_2d(&b1, DIGIT_BIT * B, &b1); - - if ((res = mp_copy(b, &b2)) != MP_OKAY) { - goto ERR; - } - mp_rshd(&b2, B*2); - - /* w0 = a0*b0 */ - if ((res = mp_mul(&a0, &b0, &w0)) != MP_OKAY) { - goto ERR; - } - - /* w4 = a2 * b2 */ - if ((res = mp_mul(&a2, &b2, &w4)) != MP_OKAY) { - goto ERR; - } - - /* w1 = (a2 + 2(a1 + 2a0))(b2 + 2(b1 + 2b0)) */ - if ((res = mp_mul_2(&a0, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a2, &tmp1)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_mul_2(&b0, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp2, &b1, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul_2(&tmp2, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp2, &b2, &tmp2)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_mul(&tmp1, &tmp2, &w1)) != MP_OKAY) { - goto ERR; - } - - /* w3 = (a0 + 2(a1 + 2a2))(b0 + 2(b1 + 2b2)) */ - if ((res = mp_mul_2(&a2, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_mul_2(&b2, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp2, &b1, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul_2(&tmp2, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp2, &b0, &tmp2)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_mul(&tmp1, &tmp2, &w3)) != MP_OKAY) { - goto ERR; - } - - - /* w2 = (a2 + a1 + a0)(b2 + b1 + b0) */ - if ((res = mp_add(&a2, &a1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&b2, &b1, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp2, &b0, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul(&tmp1, &tmp2, &w2)) != MP_OKAY) { - goto ERR; - } - - /* now solve the matrix - - 0 0 0 0 1 - 1 2 4 8 16 - 1 1 1 1 1 - 16 8 4 2 1 - 1 0 0 0 0 - - using 12 subtractions, 4 shifts, - 2 small divisions and 1 small multiplication - */ - - /* r1 - r4 */ - if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r0 */ - if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/2 */ - if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3/2 */ - if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) { - goto ERR; - } - /* r2 - r0 - r4 */ - if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1 - 8r0 */ - if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - 8r4 */ - if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) { - goto ERR; - } - /* 3r2 - r1 - r3 */ - if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/3 */ - if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) { - goto ERR; - } - /* r3/3 */ - if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { - goto ERR; - } - - /* at this point shift W[n] by B*n */ - if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_add(&w0, &w1, c)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, c, c)) != MP_OKAY) { - goto ERR; - } - -ERR: - mp_clear_multi(&w0, &w1, &w2, &w3, &w4, - &a0, &a1, &a2, &b0, &b1, - &b2, &tmp1, &tmp2, NULL); - return res; -} - -#endif - -/* End: bn_mp_toom_mul.c */ - -/* Start: bn_mp_toom_sqr.c */ -#include -#ifdef BN_MP_TOOM_SQR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* squaring using Toom-Cook 3-way algorithm */ -int -mp_toom_sqr(mp_int *a, mp_int *b) -{ - mp_int w0, w1, w2, w3, w4, tmp1, a0, a1, a2; - int res, B; - - /* init temps */ - if ((res = mp_init_multi(&w0, &w1, &w2, &w3, &w4, &a0, &a1, &a2, &tmp1, NULL)) != MP_OKAY) { - return res; - } - - /* B */ - B = a->used / 3; - - /* a = a2 * B**2 + a1 * B + a0 */ - if ((res = mp_mod_2d(a, DIGIT_BIT * B, &a0)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_copy(a, &a1)) != MP_OKAY) { - goto ERR; - } - mp_rshd(&a1, B); - mp_mod_2d(&a1, DIGIT_BIT * B, &a1); - - if ((res = mp_copy(a, &a2)) != MP_OKAY) { - goto ERR; - } - mp_rshd(&a2, B*2); - - /* w0 = a0*a0 */ - if ((res = mp_sqr(&a0, &w0)) != MP_OKAY) { - goto ERR; - } - - /* w4 = a2 * a2 */ - if ((res = mp_sqr(&a2, &w4)) != MP_OKAY) { - goto ERR; - } - - /* w1 = (a2 + 2(a1 + 2a0))**2 */ - if ((res = mp_mul_2(&a0, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a2, &tmp1)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_sqr(&tmp1, &w1)) != MP_OKAY) { - goto ERR; - } - - /* w3 = (a0 + 2(a1 + 2a2))**2 */ - if ((res = mp_mul_2(&a2, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_sqr(&tmp1, &w3)) != MP_OKAY) { - goto ERR; - } - - - /* w2 = (a2 + a1 + a0)**2 */ - if ((res = mp_add(&a2, &a1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sqr(&tmp1, &w2)) != MP_OKAY) { - goto ERR; - } - - /* now solve the matrix - - 0 0 0 0 1 - 1 2 4 8 16 - 1 1 1 1 1 - 16 8 4 2 1 - 1 0 0 0 0 - - using 12 subtractions, 4 shifts, 2 small divisions and 1 small multiplication. - */ - - /* r1 - r4 */ - if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r0 */ - if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/2 */ - if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3/2 */ - if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) { - goto ERR; - } - /* r2 - r0 - r4 */ - if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1 - 8r0 */ - if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - 8r4 */ - if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) { - goto ERR; - } - /* 3r2 - r1 - r3 */ - if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/3 */ - if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) { - goto ERR; - } - /* r3/3 */ - if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { - goto ERR; - } - - /* at this point shift W[n] by B*n */ - if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_add(&w0, &w1, b)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, b, b)) != MP_OKAY) { - goto ERR; - } - -ERR: - mp_clear_multi(&w0, &w1, &w2, &w3, &w4, &a0, &a1, &a2, &tmp1, NULL); - return res; -} - -#endif - -/* End: bn_mp_toom_sqr.c */ - -/* Start: bn_mp_toradix.c */ -#include -#ifdef BN_MP_TORADIX_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* stores a bignum as a ASCII string in a given radix (2..64) */ -int mp_toradix (mp_int * a, char *str, int radix) -{ - int res, digs; - mp_int t; - mp_digit d; - char *_s = str; - - /* check range of the radix */ - if (radix < 2 || radix > 64) { - return MP_VAL; - } - - /* quick out if its zero */ - if (mp_iszero(a) == 1) { - *str++ = '0'; - *str = '\0'; - return MP_OKAY; - } - - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - - /* if it is negative output a - */ - if (t.sign == MP_NEG) { - ++_s; - *str++ = '-'; - t.sign = MP_ZPOS; - } - - digs = 0; - while (mp_iszero (&t) == 0) { - if ((res = mp_div_d (&t, (mp_digit) radix, &t, &d)) != MP_OKAY) { - mp_clear (&t); - return res; - } - *str++ = mp_s_rmap[d]; - ++digs; - } - - /* reverse the digits of the string. In this case _s points - * to the first digit [exluding the sign] of the number] - */ - bn_reverse ((unsigned char *)_s, digs); - - /* append a NULL so the string is properly terminated */ - *str = '\0'; - - mp_clear (&t); - return MP_OKAY; -} - -#endif - -/* End: bn_mp_toradix.c */ - -/* Start: bn_mp_toradix_n.c */ -#include -#ifdef BN_MP_TORADIX_N_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* stores a bignum as a ASCII string in a given radix (2..64) - * - * Stores upto maxlen-1 chars and always a NULL byte - */ -int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen) -{ - int res, digs; - mp_int t; - mp_digit d; - char *_s = str; - - /* check range of the maxlen, radix */ - if (maxlen < 2 || radix < 2 || radix > 64) { - return MP_VAL; - } - - /* quick out if its zero */ - if (mp_iszero(a) == MP_YES) { - *str++ = '0'; - *str = '\0'; - return MP_OKAY; - } - - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - - /* if it is negative output a - */ - if (t.sign == MP_NEG) { - /* we have to reverse our digits later... but not the - sign!! */ - ++_s; - - /* store the flag and mark the number as positive */ - *str++ = '-'; - t.sign = MP_ZPOS; - - /* subtract a char */ - --maxlen; - } - - digs = 0; - while (mp_iszero (&t) == 0) { - if (--maxlen < 1) { - /* no more room */ - break; - } - if ((res = mp_div_d (&t, (mp_digit) radix, &t, &d)) != MP_OKAY) { - mp_clear (&t); - return res; - } - *str++ = mp_s_rmap[d]; - ++digs; - } - - /* reverse the digits of the string. In this case _s points - * to the first digit [exluding the sign] of the number - */ - bn_reverse ((unsigned char *)_s, digs); - - /* append a NULL so the string is properly terminated */ - *str = '\0'; - - mp_clear (&t); - return MP_OKAY; -} - -#endif - -/* End: bn_mp_toradix_n.c */ - -/* Start: bn_mp_unsigned_bin_size.c */ -#include -#ifdef BN_MP_UNSIGNED_BIN_SIZE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* get the size for an unsigned equivalent */ -int mp_unsigned_bin_size (mp_int * a) -{ - int size = mp_count_bits (a); - return (size / 8 + ((size & 7) != 0 ? 1 : 0)); -} -#endif - -/* End: bn_mp_unsigned_bin_size.c */ - -/* Start: bn_mp_xor.c */ -#include -#ifdef BN_MP_XOR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* XOR two ints together */ -int -mp_xor (mp_int * a, mp_int * b, mp_int * c) -{ - int res, ix, px; - mp_int t, *x; - - if (a->used > b->used) { - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - px = b->used; - x = b; - } else { - if ((res = mp_init_copy (&t, b)) != MP_OKAY) { - return res; - } - px = a->used; - x = a; - } - - for (ix = 0; ix < px; ix++) { - t.dp[ix] ^= x->dp[ix]; - } - mp_clamp (&t); - mp_exch (c, &t); - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* End: bn_mp_xor.c */ - -/* Start: bn_mp_zero.c */ -#include -#ifdef BN_MP_ZERO_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* set to zero */ -void mp_zero (mp_int * a) -{ - int n; - mp_digit *tmp; - - a->sign = MP_ZPOS; - a->used = 0; - - tmp = a->dp; - for (n = 0; n < a->alloc; n++) { - *tmp++ = 0; - } -} -#endif - -/* End: bn_mp_zero.c */ - -/* Start: bn_prime_tab.c */ -#include -#ifdef BN_PRIME_TAB_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ -const mp_digit ltm_prime_tab[] = { - 0x0002, 0x0003, 0x0005, 0x0007, 0x000B, 0x000D, 0x0011, 0x0013, - 0x0017, 0x001D, 0x001F, 0x0025, 0x0029, 0x002B, 0x002F, 0x0035, - 0x003B, 0x003D, 0x0043, 0x0047, 0x0049, 0x004F, 0x0053, 0x0059, - 0x0061, 0x0065, 0x0067, 0x006B, 0x006D, 0x0071, 0x007F, -#ifndef MP_8BIT - 0x0083, - 0x0089, 0x008B, 0x0095, 0x0097, 0x009D, 0x00A3, 0x00A7, 0x00AD, - 0x00B3, 0x00B5, 0x00BF, 0x00C1, 0x00C5, 0x00C7, 0x00D3, 0x00DF, - 0x00E3, 0x00E5, 0x00E9, 0x00EF, 0x00F1, 0x00FB, 0x0101, 0x0107, - 0x010D, 0x010F, 0x0115, 0x0119, 0x011B, 0x0125, 0x0133, 0x0137, - - 0x0139, 0x013D, 0x014B, 0x0151, 0x015B, 0x015D, 0x0161, 0x0167, - 0x016F, 0x0175, 0x017B, 0x017F, 0x0185, 0x018D, 0x0191, 0x0199, - 0x01A3, 0x01A5, 0x01AF, 0x01B1, 0x01B7, 0x01BB, 0x01C1, 0x01C9, - 0x01CD, 0x01CF, 0x01D3, 0x01DF, 0x01E7, 0x01EB, 0x01F3, 0x01F7, - 0x01FD, 0x0209, 0x020B, 0x021D, 0x0223, 0x022D, 0x0233, 0x0239, - 0x023B, 0x0241, 0x024B, 0x0251, 0x0257, 0x0259, 0x025F, 0x0265, - 0x0269, 0x026B, 0x0277, 0x0281, 0x0283, 0x0287, 0x028D, 0x0293, - 0x0295, 0x02A1, 0x02A5, 0x02AB, 0x02B3, 0x02BD, 0x02C5, 0x02CF, - - 0x02D7, 0x02DD, 0x02E3, 0x02E7, 0x02EF, 0x02F5, 0x02F9, 0x0301, - 0x0305, 0x0313, 0x031D, 0x0329, 0x032B, 0x0335, 0x0337, 0x033B, - 0x033D, 0x0347, 0x0355, 0x0359, 0x035B, 0x035F, 0x036D, 0x0371, - 0x0373, 0x0377, 0x038B, 0x038F, 0x0397, 0x03A1, 0x03A9, 0x03AD, - 0x03B3, 0x03B9, 0x03C7, 0x03CB, 0x03D1, 0x03D7, 0x03DF, 0x03E5, - 0x03F1, 0x03F5, 0x03FB, 0x03FD, 0x0407, 0x0409, 0x040F, 0x0419, - 0x041B, 0x0425, 0x0427, 0x042D, 0x043F, 0x0443, 0x0445, 0x0449, - 0x044F, 0x0455, 0x045D, 0x0463, 0x0469, 0x047F, 0x0481, 0x048B, - - 0x0493, 0x049D, 0x04A3, 0x04A9, 0x04B1, 0x04BD, 0x04C1, 0x04C7, - 0x04CD, 0x04CF, 0x04D5, 0x04E1, 0x04EB, 0x04FD, 0x04FF, 0x0503, - 0x0509, 0x050B, 0x0511, 0x0515, 0x0517, 0x051B, 0x0527, 0x0529, - 0x052F, 0x0551, 0x0557, 0x055D, 0x0565, 0x0577, 0x0581, 0x058F, - 0x0593, 0x0595, 0x0599, 0x059F, 0x05A7, 0x05AB, 0x05AD, 0x05B3, - 0x05BF, 0x05C9, 0x05CB, 0x05CF, 0x05D1, 0x05D5, 0x05DB, 0x05E7, - 0x05F3, 0x05FB, 0x0607, 0x060D, 0x0611, 0x0617, 0x061F, 0x0623, - 0x062B, 0x062F, 0x063D, 0x0641, 0x0647, 0x0649, 0x064D, 0x0653 -#endif -}; -#endif - -/* End: bn_prime_tab.c */ - -/* Start: bn_reverse.c */ -#include -#ifdef BN_REVERSE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* reverse an array, used for radix code */ -void -bn_reverse (unsigned char *s, int len) -{ - int ix, iy; - unsigned char t; - - ix = 0; - iy = len - 1; - while (ix < iy) { - t = s[ix]; - s[ix] = s[iy]; - s[iy] = t; - ++ix; - --iy; - } -} -#endif - -/* End: bn_reverse.c */ - -/* Start: bn_s_mp_add.c */ -#include -#ifdef BN_S_MP_ADD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* low level addition, based on HAC pp.594, Algorithm 14.7 */ -int -s_mp_add (mp_int * a, mp_int * b, mp_int * c) -{ - mp_int *x; - int olduse, res, min, max; - - /* find sizes, we let |a| <= |b| which means we have to sort - * them. "x" will point to the input with the most digits - */ - if (a->used > b->used) { - min = b->used; - max = a->used; - x = a; - } else { - min = a->used; - max = b->used; - x = b; - } - - /* init result */ - if (c->alloc < max + 1) { - if ((res = mp_grow (c, max + 1)) != MP_OKAY) { - return res; - } - } - - /* get old used digit count and set new one */ - olduse = c->used; - c->used = max + 1; - - { - register mp_digit u, *tmpa, *tmpb, *tmpc; - register int i; - - /* alias for digit pointers */ - - /* first input */ - tmpa = a->dp; - - /* second input */ - tmpb = b->dp; - - /* destination */ - tmpc = c->dp; - - /* zero the carry */ - u = 0; - for (i = 0; i < min; i++) { - /* Compute the sum at one digit, T[i] = A[i] + B[i] + U */ - *tmpc = *tmpa++ + *tmpb++ + u; - - /* U = carry bit of T[i] */ - u = *tmpc >> ((mp_digit)DIGIT_BIT); - - /* take away carry bit from T[i] */ - *tmpc++ &= MP_MASK; - } - - /* now copy higher words if any, that is in A+B - * if A or B has more digits add those in - */ - if (min != max) { - for (; i < max; i++) { - /* T[i] = X[i] + U */ - *tmpc = x->dp[i] + u; - - /* U = carry bit of T[i] */ - u = *tmpc >> ((mp_digit)DIGIT_BIT); - - /* take away carry bit from T[i] */ - *tmpc++ &= MP_MASK; - } - } - - /* add carry */ - *tmpc++ = u; - - /* clear digits above oldused */ - for (i = c->used; i < olduse; i++) { - *tmpc++ = 0; - } - } - - mp_clamp (c); - return MP_OKAY; -} -#endif - -/* End: bn_s_mp_add.c */ - -/* Start: bn_s_mp_exptmod.c */ -#include -#ifdef BN_S_MP_EXPTMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ -#ifdef MP_LOW_MEM - #define TAB_SIZE 32 -#else - #define TAB_SIZE 256 -#endif - -int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) -{ - mp_int M[TAB_SIZE], res, mu; - mp_digit buf; - int err, bitbuf, bitcpy, bitcnt, mode, digidx, x, y, winsize; - int (*redux)(mp_int*,mp_int*,mp_int*); - - /* find window size */ - x = mp_count_bits (X); - if (x <= 7) { - winsize = 2; - } else if (x <= 36) { - winsize = 3; - } else if (x <= 140) { - winsize = 4; - } else if (x <= 450) { - winsize = 5; - } else if (x <= 1303) { - winsize = 6; - } else if (x <= 3529) { - winsize = 7; - } else { - winsize = 8; - } - -#ifdef MP_LOW_MEM - if (winsize > 5) { - winsize = 5; - } -#endif - - /* init M array */ - /* init first cell */ - if ((err = mp_init(&M[1])) != MP_OKAY) { - return err; - } - - /* now init the second half of the array */ - for (x = 1<<(winsize-1); x < (1 << winsize); x++) { - if ((err = mp_init(&M[x])) != MP_OKAY) { - for (y = 1<<(winsize-1); y < x; y++) { - mp_clear (&M[y]); - } - mp_clear(&M[1]); - return err; - } - } - - /* create mu, used for Barrett reduction */ - if ((err = mp_init (&mu)) != MP_OKAY) { - goto LBL_M; - } - - if (redmode == 0) { - if ((err = mp_reduce_setup (&mu, P)) != MP_OKAY) { - goto LBL_MU; - } - redux = mp_reduce; - } else { - if ((err = mp_reduce_2k_setup_l (P, &mu)) != MP_OKAY) { - goto LBL_MU; - } - redux = mp_reduce_2k_l; - } - - /* create M table - * - * The M table contains powers of the base, - * e.g. M[x] = G**x mod P - * - * The first half of the table is not - * computed though accept for M[0] and M[1] - */ - if ((err = mp_mod (G, P, &M[1])) != MP_OKAY) { - goto LBL_MU; - } - - /* compute the value at M[1<<(winsize-1)] by squaring - * M[1] (winsize-1) times - */ - if ((err = mp_copy (&M[1], &M[1 << (winsize - 1)])) != MP_OKAY) { - goto LBL_MU; - } - - for (x = 0; x < (winsize - 1); x++) { - /* square it */ - if ((err = mp_sqr (&M[1 << (winsize - 1)], - &M[1 << (winsize - 1)])) != MP_OKAY) { - goto LBL_MU; - } - - /* reduce modulo P */ - if ((err = redux (&M[1 << (winsize - 1)], P, &mu)) != MP_OKAY) { - goto LBL_MU; - } - } - - /* create upper table, that is M[x] = M[x-1] * M[1] (mod P) - * for x = (2**(winsize - 1) + 1) to (2**winsize - 1) - */ - for (x = (1 << (winsize - 1)) + 1; x < (1 << winsize); x++) { - if ((err = mp_mul (&M[x - 1], &M[1], &M[x])) != MP_OKAY) { - goto LBL_MU; - } - if ((err = redux (&M[x], P, &mu)) != MP_OKAY) { - goto LBL_MU; - } - } - - /* setup result */ - if ((err = mp_init (&res)) != MP_OKAY) { - goto LBL_MU; - } - mp_set (&res, 1); - - /* set initial mode and bit cnt */ - mode = 0; - bitcnt = 1; - buf = 0; - digidx = X->used - 1; - bitcpy = 0; - bitbuf = 0; - - for (;;) { - /* grab next digit as required */ - if (--bitcnt == 0) { - /* if digidx == -1 we are out of digits */ - if (digidx == -1) { - break; - } - /* read next digit and reset the bitcnt */ - buf = X->dp[digidx--]; - bitcnt = (int) DIGIT_BIT; - } - - /* grab the next msb from the exponent */ - y = (buf >> (mp_digit)(DIGIT_BIT - 1)) & 1; - buf <<= (mp_digit)1; - - /* if the bit is zero and mode == 0 then we ignore it - * These represent the leading zero bits before the first 1 bit - * in the exponent. Technically this opt is not required but it - * does lower the # of trivial squaring/reductions used - */ - if (mode == 0 && y == 0) { - continue; - } - - /* if the bit is zero and mode == 1 then we square */ - if (mode == 1 && y == 0) { - if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, &mu)) != MP_OKAY) { - goto LBL_RES; - } - continue; - } - - /* else we add it to the window */ - bitbuf |= (y << (winsize - ++bitcpy)); - mode = 2; - - if (bitcpy == winsize) { - /* ok window is filled so square as required and multiply */ - /* square first */ - for (x = 0; x < winsize; x++) { - if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, &mu)) != MP_OKAY) { - goto LBL_RES; - } - } - - /* then multiply */ - if ((err = mp_mul (&res, &M[bitbuf], &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, &mu)) != MP_OKAY) { - goto LBL_RES; - } - - /* empty window and reset */ - bitcpy = 0; - bitbuf = 0; - mode = 1; - } - } - - /* if bits remain then square/multiply */ - if (mode == 2 && bitcpy > 0) { - /* square then multiply if the bit is set */ - for (x = 0; x < bitcpy; x++) { - if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, &mu)) != MP_OKAY) { - goto LBL_RES; - } - - bitbuf <<= 1; - if ((bitbuf & (1 << winsize)) != 0) { - /* then multiply */ - if ((err = mp_mul (&res, &M[1], &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, &mu)) != MP_OKAY) { - goto LBL_RES; - } - } - } - } - - mp_exch (&res, Y); - err = MP_OKAY; -LBL_RES:mp_clear (&res); -LBL_MU:mp_clear (&mu); -LBL_M: - mp_clear(&M[1]); - for (x = 1<<(winsize-1); x < (1 << winsize); x++) { - mp_clear (&M[x]); - } - return err; -} -#endif - -/* End: bn_s_mp_exptmod.c */ - -/* Start: bn_s_mp_mul_digs.c */ -#include -#ifdef BN_S_MP_MUL_DIGS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* multiplies |a| * |b| and only computes upto digs digits of result - * HAC pp. 595, Algorithm 14.12 Modified so you can control how - * many digits of output are created. - */ -int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) -{ - mp_int t; - int res, pa, pb, ix, iy; - mp_digit u; - mp_word r; - mp_digit tmpx, *tmpt, *tmpy; - - /* can we use the fast multiplier? */ - if (((digs) < MP_WARRAY) && - MIN (a->used, b->used) < - (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { - return fast_s_mp_mul_digs (a, b, c, digs); - } - - if ((res = mp_init_size (&t, digs)) != MP_OKAY) { - return res; - } - t.used = digs; - - /* compute the digits of the product directly */ - pa = a->used; - for (ix = 0; ix < pa; ix++) { - /* set the carry to zero */ - u = 0; - - /* limit ourselves to making digs digits of output */ - pb = MIN (b->used, digs - ix); - - /* setup some aliases */ - /* copy of the digit from a used within the nested loop */ - tmpx = a->dp[ix]; - - /* an alias for the destination shifted ix places */ - tmpt = t.dp + ix; - - /* an alias for the digits of b */ - tmpy = b->dp; - - /* compute the columns of the output and propagate the carry */ - for (iy = 0; iy < pb; iy++) { - /* compute the column as a mp_word */ - r = ((mp_word)*tmpt) + - ((mp_word)tmpx) * ((mp_word)*tmpy++) + - ((mp_word) u); - - /* the new column is the lower part of the result */ - *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); - - /* get the carry word from the result */ - u = (mp_digit) (r >> ((mp_word) DIGIT_BIT)); - } - /* set carry if it is placed below digs */ - if (ix + iy < digs) { - *tmpt = u; - } - } - - mp_clamp (&t); - mp_exch (&t, c); - - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* End: bn_s_mp_mul_digs.c */ - -/* Start: bn_s_mp_mul_high_digs.c */ -#include -#ifdef BN_S_MP_MUL_HIGH_DIGS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* multiplies |a| * |b| and does not compute the lower digs digits - * [meant to get the higher part of the product] - */ -int -s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) -{ - mp_int t; - int res, pa, pb, ix, iy; - mp_digit u; - mp_word r; - mp_digit tmpx, *tmpt, *tmpy; - - /* can we use the fast multiplier? */ -#ifdef BN_FAST_S_MP_MUL_HIGH_DIGS_C - if (((a->used + b->used + 1) < MP_WARRAY) - && MIN (a->used, b->used) < (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { - return fast_s_mp_mul_high_digs (a, b, c, digs); - } -#endif - - if ((res = mp_init_size (&t, a->used + b->used + 1)) != MP_OKAY) { - return res; - } - t.used = a->used + b->used + 1; - - pa = a->used; - pb = b->used; - for (ix = 0; ix < pa; ix++) { - /* clear the carry */ - u = 0; - - /* left hand side of A[ix] * B[iy] */ - tmpx = a->dp[ix]; - - /* alias to the address of where the digits will be stored */ - tmpt = &(t.dp[digs]); - - /* alias for where to read the right hand side from */ - tmpy = b->dp + (digs - ix); - - for (iy = digs - ix; iy < pb; iy++) { - /* calculate the double precision result */ - r = ((mp_word)*tmpt) + - ((mp_word)tmpx) * ((mp_word)*tmpy++) + - ((mp_word) u); - - /* get the lower part */ - *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); - - /* carry the carry */ - u = (mp_digit) (r >> ((mp_word) DIGIT_BIT)); - } - *tmpt = u; - } - mp_clamp (&t); - mp_exch (&t, c); - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* End: bn_s_mp_mul_high_digs.c */ - -/* Start: bn_s_mp_sqr.c */ -#include -#ifdef BN_S_MP_SQR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* low level squaring, b = a*a, HAC pp.596-597, Algorithm 14.16 */ -int s_mp_sqr (mp_int * a, mp_int * b) -{ - mp_int t; - int res, ix, iy, pa; - mp_word r; - mp_digit u, tmpx, *tmpt; - - pa = a->used; - if ((res = mp_init_size (&t, 2*pa + 1)) != MP_OKAY) { - return res; - } - - /* default used is maximum possible size */ - t.used = 2*pa + 1; - - for (ix = 0; ix < pa; ix++) { - /* first calculate the digit at 2*ix */ - /* calculate double precision result */ - r = ((mp_word) t.dp[2*ix]) + - ((mp_word)a->dp[ix])*((mp_word)a->dp[ix]); - - /* store lower part in result */ - t.dp[ix+ix] = (mp_digit) (r & ((mp_word) MP_MASK)); - - /* get the carry */ - u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); - - /* left hand side of A[ix] * A[iy] */ - tmpx = a->dp[ix]; - - /* alias for where to store the results */ - tmpt = t.dp + (2*ix + 1); - - for (iy = ix + 1; iy < pa; iy++) { - /* first calculate the product */ - r = ((mp_word)tmpx) * ((mp_word)a->dp[iy]); - - /* now calculate the double precision result, note we use - * addition instead of *2 since it's easier to optimize - */ - r = ((mp_word) *tmpt) + r + r + ((mp_word) u); - - /* store lower part */ - *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); - - /* get carry */ - u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); - } - /* propagate upwards */ - while (u != ((mp_digit) 0)) { - r = ((mp_word) *tmpt) + ((mp_word) u); - *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); - u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); - } - } - - mp_clamp (&t); - mp_exch (&t, b); - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* End: bn_s_mp_sqr.c */ - -/* Start: bn_s_mp_sub.c */ -#include -#ifdef BN_S_MP_SUB_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* low level subtraction (assumes |a| > |b|), HAC pp.595 Algorithm 14.9 */ -int -s_mp_sub (mp_int * a, mp_int * b, mp_int * c) -{ - int olduse, res, min, max; - - /* find sizes */ - min = b->used; - max = a->used; - - /* init result */ - if (c->alloc < max) { - if ((res = mp_grow (c, max)) != MP_OKAY) { - return res; - } - } - olduse = c->used; - c->used = max; - - { - register mp_digit u, *tmpa, *tmpb, *tmpc; - register int i; - - /* alias for digit pointers */ - tmpa = a->dp; - tmpb = b->dp; - tmpc = c->dp; - - /* set carry to zero */ - u = 0; - for (i = 0; i < min; i++) { - /* T[i] = A[i] - B[i] - U */ - *tmpc = *tmpa++ - *tmpb++ - u; - - /* U = carry bit of T[i] - * Note this saves performing an AND operation since - * if a carry does occur it will propagate all the way to the - * MSB. As a result a single shift is enough to get the carry - */ - u = *tmpc >> ((mp_digit)(CHAR_BIT * sizeof (mp_digit) - 1)); - - /* Clear carry from T[i] */ - *tmpc++ &= MP_MASK; - } - - /* now copy higher words if any, e.g. if A has more digits than B */ - for (; i < max; i++) { - /* T[i] = A[i] - U */ - *tmpc = *tmpa++ - u; - - /* U = carry bit of T[i] */ - u = *tmpc >> ((mp_digit)(CHAR_BIT * sizeof (mp_digit) - 1)); - - /* Clear carry from T[i] */ - *tmpc++ &= MP_MASK; - } - - /* clear digits above used (since we may not have grown result above) */ - for (i = c->used; i < olduse; i++) { - *tmpc++ = 0; - } - } - - mp_clamp (c); - return MP_OKAY; -} - -#endif - -/* End: bn_s_mp_sub.c */ - -/* Start: bncore.c */ -#include -#ifdef BNCORE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* Known optimal configurations - - CPU /Compiler /MUL CUTOFF/SQR CUTOFF -------------------------------------------------------------- - Intel P4 Northwood /GCC v3.4.1 / 88/ 128/LTM 0.32 ;-) - AMD Athlon64 /GCC v3.4.4 / 80/ 120/LTM 0.35 - -*/ - -int KARATSUBA_MUL_CUTOFF = 80, /* Min. number of digits before Karatsuba multiplication is used. */ - KARATSUBA_SQR_CUTOFF = 120, /* Min. number of digits before Karatsuba squaring is used. */ - - TOOM_MUL_CUTOFF = 350, /* no optimal values of these are known yet so set em high */ - TOOM_SQR_CUTOFF = 400; -#endif - -/* End: bncore.c */ - - -/* EOF */ diff --git a/libtommath/tombc/grammar.txt b/libtommath/tombc/grammar.txt deleted file mode 100644 index a780e75..0000000 --- a/libtommath/tombc/grammar.txt +++ /dev/null @@ -1,35 +0,0 @@ -program := program statement | statement | empty -statement := { statement } | - identifier = numexpression; | - identifier[numexpression] = numexpression; | - function(expressionlist); | - for (identifer = numexpression; numexpression; identifier = numexpression) { statement } | - while (numexpression) { statement } | - if (numexpresion) { statement } elif | - break; | - continue; - -elif := else statement | empty -function := abs | countbits | exptmod | jacobi | print | isprime | nextprime | issquare | readinteger | exit -expressionlist := expressionlist, expression | expression - -// LR(1) !!!? -expression := string | numexpression -numexpression := cmpexpr && cmpexpr | cmpexpr \|\| cmpexpr | cmpexpr -cmpexpr := boolexpr < boolexpr | boolexpr > boolexpr | boolexpr == boolexpr | - boolexpr <= boolexpr | boolexpr >= boolexpr | boolexpr -boolexpr := shiftexpr & shiftexpr | shiftexpr ^ shiftexpr | shiftexpr \| shiftexpr | shiftexpr -shiftexpr := addsubexpr << addsubexpr | addsubexpr >> addsubexpr | addsubexpr -addsubexpr := mulexpr + mulexpr | mulexpr - mulexpr | mulexpr -mulexpr := expr * expr | expr / expr | expr % expr | expr -expr := -nexpr | nexpr -nexpr := integer | identifier | ( numexpression ) | identifier[numexpression] - -identifier := identifer digits | identifier alpha | alpha -alpha := a ... z | A ... Z -integer := hexnumber | digits -hexnumber := 0xhexdigits -hexdigits := hexdigits hexdigit | hexdigit -hexdigit := 0 ... 9 | a ... f | A ... F -digits := digits digit | digit -digit := 0 ... 9 diff --git a/libtommath/tommath.h b/libtommath/tommath.h index 4b3a76f..4e6b1a5 100644 --- a/libtommath/tommath.h +++ b/libtommath/tommath.h @@ -10,46 +10,27 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://math.libtomcrypt.com */ #ifndef BN_H_ #define BN_H_ #include -#include #include -#include +#include #include #include -#ifndef MIN -# define MIN(x,y) ((x)<(y)?(x):(y)) -#endif - -#ifndef MAX -# define MAX(x,y) ((x)>(y)?(x):(y)) -#endif - #ifdef __cplusplus extern "C" { - -/* C++ compilers don't like assigning void * to mp_digit * */ -#define OPT_CAST(x) (x *) - -#else - -/* C on the other hand doesn't care */ -#define OPT_CAST(x) - #endif - /* detect 64-bit mode if possible */ -#if defined(__x86_64__) -# if !(defined(MP_64BIT) && defined(MP_16BIT) && defined(MP_8BIT)) -# define MP_64BIT -# endif +#if defined(__x86_64__) + #if !(defined(MP_32BIT) || defined(MP_16BIT) || defined(MP_8BIT)) + #define MP_64BIT + #endif #endif /* some default configurations. @@ -61,70 +42,68 @@ extern "C" { * [any size beyond that is ok provided it doesn't overflow the data type] */ #ifdef MP_8BIT - typedef unsigned char mp_digit; - typedef unsigned short mp_word; + typedef uint8_t mp_digit; + typedef uint16_t mp_word; +#define MP_SIZEOF_MP_DIGIT 1 +#ifdef DIGIT_BIT +#error You must not define DIGIT_BIT when using MP_8BIT +#endif #elif defined(MP_16BIT) - typedef unsigned short mp_digit; - typedef unsigned long mp_word; + typedef uint16_t mp_digit; + typedef uint32_t mp_word; +#define MP_SIZEOF_MP_DIGIT 2 +#ifdef DIGIT_BIT +#error You must not define DIGIT_BIT when using MP_16BIT +#endif #elif defined(MP_64BIT) /* for GCC only on supported platforms */ -#ifndef CRYPT - typedef unsigned long long ulong64; - typedef signed long long long64; + typedef uint64_t mp_digit; +#if defined(_WIN32) + typedef unsigned __int128 mp_word; +#elif defined(__GNUC__) + typedef unsigned long mp_word __attribute__ ((mode(TI))); +#else + /* it seems you have a problem + * but we assume you can somewhere define your own uint128_t */ + typedef uint128_t mp_word; #endif - typedef unsigned long mp_digit; - typedef unsigned long mp_word __attribute__ ((mode(TI))); - -# define DIGIT_BIT 60 + #define DIGIT_BIT 60 #else /* this is the default case, 28-bit digits */ - - /* this is to make porting into LibTomCrypt easier :-) */ -#ifndef CRYPT -# if defined(_MSC_VER) || defined(__BORLANDC__) - typedef unsigned __int64 ulong64; - typedef signed __int64 long64; -# else - typedef unsigned long long ulong64; - typedef signed long long long64; -# endif -#endif - typedef unsigned long mp_digit; - typedef ulong64 mp_word; + /* this is to make porting into LibTomCrypt easier :-) */ + typedef uint32_t mp_digit; + typedef uint64_t mp_word; -#ifdef MP_31BIT +#ifdef MP_31BIT /* this is an extension that uses 31-bit digits */ -# define DIGIT_BIT 31 + #define DIGIT_BIT 31 #else /* default case is 28-bit digits, defines MP_28BIT as a handy macro to test */ -# define DIGIT_BIT 28 -# define MP_28BIT -#endif + #define DIGIT_BIT 28 + #define MP_28BIT #endif - -/* define heap macros */ -#ifndef CRYPT - /* default to libc stuff */ -# ifndef XMALLOC -# define XMALLOC malloc -# define XFREE free -# define XREALLOC realloc -# define XCALLOC calloc -# else - /* prototypes for our heap functions */ - extern void *XMALLOC(size_t n); - extern void *XREALLOC(void *p, size_t n); - extern void *XCALLOC(size_t n, size_t s); - extern void XFREE(void *p); -# endif #endif - /* otherwise the bits per digit is calculated automatically from the size of a mp_digit */ #ifndef DIGIT_BIT -# define DIGIT_BIT ((int)((CHAR_BIT * sizeof(mp_digit) - 1))) /* bits per digit */ + #define DIGIT_BIT (((CHAR_BIT * MP_SIZEOF_MP_DIGIT) - 1)) /* bits per digit */ + typedef uint_least32_t mp_min_u32; +#else + typedef mp_digit mp_min_u32; +#endif + +/* platforms that can use a better rand function */ +#if defined(__FreeBSD__) || defined(__OpenBSD__) || defined(__NetBSD__) || defined(__DragonFly__) + #define MP_USE_ALT_RAND 1 +#endif + +/* use arc4random on platforms that support it */ +#ifdef MP_USE_ALT_RAND + #define MP_GEN_RANDOM() arc4random() +#else + #define MP_GEN_RANDOM() rand() #endif #define MP_DIGIT_BIT DIGIT_BIT @@ -165,15 +144,15 @@ extern int KARATSUBA_MUL_CUTOFF, /* default precision */ #ifndef MP_PREC -# ifndef MP_LOW_MEM -# define MP_PREC 32 /* default digits of precision */ -# else -# define MP_PREC 8 /* default digits of precision */ -# endif + #ifndef MP_LOW_MEM + #define MP_PREC 32 /* default digits of precision */ + #else + #define MP_PREC 8 /* default digits of precision */ + #endif #endif /* size of comba arrays, should be at least 2 * 2**(BITS_PER_WORD - BITS_PER_DIGIT*2) */ -#define MP_WARRAY (1 << (sizeof(mp_word) * CHAR_BIT - 2 * DIGIT_BIT + 1)) +#define MP_WARRAY (1 << (((sizeof(mp_word) * CHAR_BIT) - (2 * DIGIT_BIT)) + 1)) /* the infamous mp_int structure */ typedef struct { @@ -190,7 +169,7 @@ typedef int ltm_prime_callback(unsigned char *dst, int len, void *dat); #define SIGN(m) ((m)->sign) /* error code to char* string */ -char *mp_error_to_string(int code); +const char *mp_error_to_string(int code); /* ---> init and deinit bignum functions <--- */ /* init a bignum */ @@ -219,8 +198,9 @@ int mp_init_size(mp_int *a, int size); /* ---> Basic Manipulations <--- */ #define mp_iszero(a) (((a)->used == 0) ? MP_YES : MP_NO) -#define mp_iseven(a) (((a)->used == 0 || (((a)->dp[0] & 1) == 0)) ? MP_YES : MP_NO) -#define mp_isodd(a) (((a)->used > 0 && (((a)->dp[0] & 1) == 1)) ? MP_YES : MP_NO) +#define mp_iseven(a) ((((a)->used == 0) || (((a)->dp[0] & 1u) == 0u)) ? MP_YES : MP_NO) +#define mp_isodd(a) ((((a)->used > 0) && (((a)->dp[0] & 1u) == 1u)) ? MP_YES : MP_NO) +#define mp_isneg(a) (((a)->sign != MP_ZPOS) ? MP_YES : MP_NO) /* set to zero */ void mp_zero(mp_int *a); @@ -231,9 +211,21 @@ void mp_set(mp_int *a, mp_digit b); /* set a 32-bit const */ int mp_set_int(mp_int *a, unsigned long b); +/* set a platform dependent unsigned long value */ +int mp_set_long(mp_int *a, unsigned long b); + +/* set a platform dependent unsigned long long value */ +int mp_set_long_long(mp_int *a, unsigned long long b); + /* get a 32-bit value */ unsigned long mp_get_int(mp_int * a); +/* get a platform dependent unsigned long value */ +unsigned long mp_get_long(mp_int * a); + +/* get a platform dependent unsigned long long value */ +unsigned long long mp_get_long_long(mp_int * a); + /* initialize and set a digit */ int mp_init_set (mp_int * a, mp_digit b); @@ -249,6 +241,12 @@ int mp_init_copy(mp_int *a, mp_int *b); /* trim unused digits */ void mp_clamp(mp_int *a); +/* import binary data */ +int mp_import(mp_int* rop, size_t count, int order, size_t size, int endian, size_t nails, const void* op); + +/* export binary data */ +int mp_export(void* rop, size_t* countp, int order, size_t size, int endian, size_t nails, mp_int* op); + /* ---> digit manipulation <--- */ /* right shift by "b" digits */ @@ -257,19 +255,19 @@ void mp_rshd(mp_int *a, int b); /* left shift by "b" digits */ int mp_lshd(mp_int *a, int b); -/* c = a / 2**b */ +/* c = a / 2**b, implemented as c = a >> b */ int mp_div_2d(const mp_int *a, int b, mp_int *c, mp_int *d); /* b = a/2 */ int mp_div_2(mp_int *a, mp_int *b); -/* c = a * 2**b */ +/* c = a * 2**b, implemented as c = a << b */ int mp_mul_2d(const mp_int *a, int b, mp_int *c); /* b = a*2 */ int mp_mul_2(mp_int *a, mp_int *b); -/* c = a mod 2**d */ +/* c = a mod 2**b */ int mp_mod_2d(const mp_int *a, int b, mp_int *c); /* computes a = 2**b */ @@ -347,6 +345,7 @@ int mp_div_3(mp_int *a, mp_int *c, mp_digit *d); /* c = a**b */ int mp_expt_d(mp_int *a, mp_digit b, mp_int *c); +int mp_expt_d_ex (mp_int * a, mp_digit b, mp_int * c, int fast); /* c = a mod b, 0 <= c < b */ int mp_mod_d(mp_int *a, mp_digit b, mp_digit *c); @@ -382,10 +381,14 @@ int mp_lcm(mp_int *a, mp_int *b, mp_int *c); * returns error if a < 0 and b is even */ int mp_n_root(mp_int *a, mp_digit b, mp_int *c); +int mp_n_root_ex (mp_int * a, mp_digit b, mp_int * c, int fast); /* special sqrt algo */ int mp_sqrt(mp_int *arg, mp_int *ret); +/* special sqrt (mod prime) */ +int mp_sqrtmod_prime(mp_int *arg, mp_int *prime, mp_int *ret); + /* is number a square? */ int mp_is_square(mp_int *arg, int *ret); @@ -447,13 +450,13 @@ int mp_exptmod(mp_int *a, mp_int *b, mp_int *c, mp_int *d); /* number of primes */ #ifdef MP_8BIT -# define PRIME_SIZE 31 + #define PRIME_SIZE 31 #else -# define PRIME_SIZE 256 + #define PRIME_SIZE 256 #endif /* table of first PRIME_SIZE primes */ -extern const mp_digit ltm_prime_tab[]; +extern const mp_digit ltm_prime_tab[PRIME_SIZE]; /* result=1 if a is divisible by one of the first PRIME_SIZE primes */ int mp_prime_is_divisible(mp_int *a, int *result); @@ -469,7 +472,7 @@ int mp_prime_fermat(mp_int *a, mp_int *b, int *result); int mp_prime_miller_rabin(mp_int *a, mp_int *b, int *result); /* This gives [for a given bit size] the number of trials required - * such that Miller-Rabin gives a prob of failure lower than 2^-96 + * such that Miller-Rabin gives a prob of failure lower than 2^-96 */ int mp_prime_rabin_miller_trials(int size); @@ -490,7 +493,7 @@ int mp_prime_is_prime(mp_int *a, int t, int *result); int mp_prime_next_prime(mp_int *a, int t, int bbs_style); /* makes a truly random prime of a given size (bytes), - * call with bbs = 1 if you want it to be congruent to 3 mod 4 + * call with bbs = 1 if you want it to be congruent to 3 mod 4 * * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can * have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself @@ -503,10 +506,9 @@ int mp_prime_next_prime(mp_int *a, int t, int bbs_style); /* makes a truly random prime of a given size (bits), * * Flags are as follows: - * + * * LTM_PRIME_BBS - make prime congruent to 3 mod 4 * LTM_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies LTM_PRIME_BBS) - * LTM_PRIME_2MSB_OFF - make the 2nd highest bit zero * LTM_PRIME_2MSB_ON - make the 2nd highest bit one * * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can @@ -534,8 +536,10 @@ int mp_toradix(mp_int *a, char *str, int radix); int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen); int mp_radix_size(mp_int *a, int radix, int *size); +#ifndef LTM_NO_FILE int mp_fread(mp_int *a, int radix, FILE *stream); int mp_fwrite(mp_int *a, int radix, FILE *stream); +#endif #define mp_read_raw(mp, str, len) mp_read_signed_bin((mp), (str), (len)) #define mp_raw_size(mp) mp_signed_bin_size(mp) @@ -549,31 +553,13 @@ int mp_fwrite(mp_int *a, int radix, FILE *stream); #define mp_todecimal(M, S) mp_toradix((M), (S), 10) #define mp_tohex(M, S) mp_toradix((M), (S), 16) -/* lowlevel functions, do not call! */ -int s_mp_add(mp_int *a, mp_int *b, mp_int *c); -int s_mp_sub(mp_int *a, mp_int *b, mp_int *c); -#define s_mp_mul(a, b, c) s_mp_mul_digs(a, b, c, (a)->used + (b)->used + 1) -int fast_s_mp_mul_digs(mp_int *a, mp_int *b, mp_int *c, int digs); -int s_mp_mul_digs(mp_int *a, mp_int *b, mp_int *c, int digs); -int fast_s_mp_mul_high_digs(mp_int *a, mp_int *b, mp_int *c, int digs); -int s_mp_mul_high_digs(mp_int *a, mp_int *b, mp_int *c, int digs); -int fast_s_mp_sqr(mp_int *a, mp_int *b); -int s_mp_sqr(mp_int *a, mp_int *b); -int mp_karatsuba_mul(mp_int *a, mp_int *b, mp_int *c); -int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c); -int mp_karatsuba_sqr(mp_int *a, mp_int *b); -int mp_toom_sqr(mp_int *a, mp_int *b); -int fast_mp_invmod(mp_int *a, mp_int *b, mp_int *c); -int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c); -int fast_mp_montgomery_reduce(mp_int *a, mp_int *m, mp_digit mp); -int mp_exptmod_fast(mp_int *G, mp_int *X, mp_int *P, mp_int *Y, int mode); -int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int mode); -void bn_reverse(unsigned char *s, int len); - -extern const char *mp_s_rmap; - #ifdef __cplusplus -} + } #endif #endif + + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/tommath.out b/libtommath/tommath.out deleted file mode 100644 index 9f62617..0000000 --- a/libtommath/tommath.out +++ /dev/null @@ -1,139 +0,0 @@ -\BOOKMARK [0][-]{chapter.1}{Introduction}{} -\BOOKMARK [1][-]{section.1.1}{Multiple Precision Arithmetic}{chapter.1} -\BOOKMARK [2][-]{subsection.1.1.1}{What is Multiple Precision Arithmetic?}{section.1.1} -\BOOKMARK [2][-]{subsection.1.1.2}{The Need for Multiple Precision Arithmetic}{section.1.1} -\BOOKMARK [2][-]{subsection.1.1.3}{Benefits of Multiple Precision Arithmetic}{section.1.1} -\BOOKMARK [1][-]{section.1.2}{Purpose of This Text}{chapter.1} -\BOOKMARK [1][-]{section.1.3}{Discussion and Notation}{chapter.1} -\BOOKMARK [2][-]{subsection.1.3.1}{Notation}{section.1.3} -\BOOKMARK [2][-]{subsection.1.3.2}{Precision Notation}{section.1.3} -\BOOKMARK [2][-]{subsection.1.3.3}{Algorithm Inputs and Outputs}{section.1.3} -\BOOKMARK [2][-]{subsection.1.3.4}{Mathematical Expressions}{section.1.3} -\BOOKMARK [2][-]{subsection.1.3.5}{Work Effort}{section.1.3} -\BOOKMARK [1][-]{section.1.4}{Exercises}{chapter.1} -\BOOKMARK [1][-]{section.1.5}{Introduction to LibTomMath}{chapter.1} -\BOOKMARK [2][-]{subsection.1.5.1}{What is LibTomMath?}{section.1.5} -\BOOKMARK [2][-]{subsection.1.5.2}{Goals of LibTomMath}{section.1.5} -\BOOKMARK [1][-]{section.1.6}{Choice of LibTomMath}{chapter.1} -\BOOKMARK [2][-]{subsection.1.6.1}{Code Base}{section.1.6} -\BOOKMARK [2][-]{subsection.1.6.2}{API Simplicity}{section.1.6} -\BOOKMARK [2][-]{subsection.1.6.3}{Optimizations}{section.1.6} -\BOOKMARK [2][-]{subsection.1.6.4}{Portability and Stability}{section.1.6} -\BOOKMARK [2][-]{subsection.1.6.5}{Choice}{section.1.6} -\BOOKMARK [0][-]{chapter.2}{Getting Started}{} -\BOOKMARK [1][-]{section.2.1}{Library Basics}{chapter.2} -\BOOKMARK [1][-]{section.2.2}{What is a Multiple Precision Integer?}{chapter.2} -\BOOKMARK [2][-]{subsection.2.2.1}{The mp\137int Structure}{section.2.2} -\BOOKMARK [1][-]{section.2.3}{Argument Passing}{chapter.2} -\BOOKMARK [1][-]{section.2.4}{Return Values}{chapter.2} -\BOOKMARK [1][-]{section.2.5}{Initialization and Clearing}{chapter.2} -\BOOKMARK [2][-]{subsection.2.5.1}{Initializing an mp\137int}{section.2.5} -\BOOKMARK [2][-]{subsection.2.5.2}{Clearing an mp\137int}{section.2.5} -\BOOKMARK [1][-]{section.2.6}{Maintenance Algorithms}{chapter.2} -\BOOKMARK [2][-]{subsection.2.6.1}{Augmenting an mp\137int's Precision}{section.2.6} -\BOOKMARK [2][-]{subsection.2.6.2}{Initializing Variable Precision mp\137ints}{section.2.6} -\BOOKMARK [2][-]{subsection.2.6.3}{Multiple Integer Initializations and Clearings}{section.2.6} -\BOOKMARK [2][-]{subsection.2.6.4}{Clamping Excess Digits}{section.2.6} -\BOOKMARK [0][-]{chapter.3}{Basic Operations}{} -\BOOKMARK [1][-]{section.3.1}{Introduction}{chapter.3} -\BOOKMARK [1][-]{section.3.2}{Assigning Values to mp\137int Structures}{chapter.3} -\BOOKMARK [2][-]{subsection.3.2.1}{Copying an mp\137int}{section.3.2} -\BOOKMARK [2][-]{subsection.3.2.2}{Creating a Clone}{section.3.2} -\BOOKMARK [1][-]{section.3.3}{Zeroing an Integer}{chapter.3} -\BOOKMARK [1][-]{section.3.4}{Sign Manipulation}{chapter.3} -\BOOKMARK [2][-]{subsection.3.4.1}{Absolute Value}{section.3.4} -\BOOKMARK [2][-]{subsection.3.4.2}{Integer Negation}{section.3.4} -\BOOKMARK [1][-]{section.3.5}{Small Constants}{chapter.3} -\BOOKMARK [2][-]{subsection.3.5.1}{Setting Small Constants}{section.3.5} -\BOOKMARK [2][-]{subsection.3.5.2}{Setting Large Constants}{section.3.5} -\BOOKMARK [1][-]{section.3.6}{Comparisons}{chapter.3} -\BOOKMARK [2][-]{subsection.3.6.1}{Unsigned Comparisions}{section.3.6} -\BOOKMARK [2][-]{subsection.3.6.2}{Signed Comparisons}{section.3.6} -\BOOKMARK [0][-]{chapter.4}{Basic Arithmetic}{} -\BOOKMARK [1][-]{section.4.1}{Introduction}{chapter.4} -\BOOKMARK [1][-]{section.4.2}{Addition and Subtraction}{chapter.4} -\BOOKMARK [2][-]{subsection.4.2.1}{Low Level Addition}{section.4.2} -\BOOKMARK [2][-]{subsection.4.2.2}{Low Level Subtraction}{section.4.2} -\BOOKMARK [2][-]{subsection.4.2.3}{High Level Addition}{section.4.2} -\BOOKMARK [2][-]{subsection.4.2.4}{High Level Subtraction}{section.4.2} -\BOOKMARK [1][-]{section.4.3}{Bit and Digit Shifting}{chapter.4} -\BOOKMARK [2][-]{subsection.4.3.1}{Multiplication by Two}{section.4.3} -\BOOKMARK [2][-]{subsection.4.3.2}{Division by Two}{section.4.3} -\BOOKMARK [1][-]{section.4.4}{Polynomial Basis Operations}{chapter.4} -\BOOKMARK [2][-]{subsection.4.4.1}{Multiplication by x}{section.4.4} -\BOOKMARK [2][-]{subsection.4.4.2}{Division by x}{section.4.4} -\BOOKMARK [1][-]{section.4.5}{Powers of Two}{chapter.4} -\BOOKMARK [2][-]{subsection.4.5.1}{Multiplication by Power of Two}{section.4.5} -\BOOKMARK [2][-]{subsection.4.5.2}{Division by Power of Two}{section.4.5} -\BOOKMARK [2][-]{subsection.4.5.3}{Remainder of Division by Power of Two}{section.4.5} -\BOOKMARK [0][-]{chapter.5}{Multiplication and Squaring}{} -\BOOKMARK [1][-]{section.5.1}{The Multipliers}{chapter.5} -\BOOKMARK [1][-]{section.5.2}{Multiplication}{chapter.5} -\BOOKMARK [2][-]{subsection.5.2.1}{The Baseline Multiplication}{section.5.2} -\BOOKMARK [2][-]{subsection.5.2.2}{Faster Multiplication by the ``Comba'' Method}{section.5.2} -\BOOKMARK [2][-]{subsection.5.2.3}{Polynomial Basis Multiplication}{section.5.2} -\BOOKMARK [2][-]{subsection.5.2.4}{Karatsuba Multiplication}{section.5.2} -\BOOKMARK [2][-]{subsection.5.2.5}{Toom-Cook 3-Way Multiplication}{section.5.2} -\BOOKMARK [2][-]{subsection.5.2.6}{Signed Multiplication}{section.5.2} -\BOOKMARK [1][-]{section.5.3}{Squaring}{chapter.5} -\BOOKMARK [2][-]{subsection.5.3.1}{The Baseline Squaring Algorithm}{section.5.3} -\BOOKMARK [2][-]{subsection.5.3.2}{Faster Squaring by the ``Comba'' Method}{section.5.3} -\BOOKMARK [2][-]{subsection.5.3.3}{Polynomial Basis Squaring}{section.5.3} -\BOOKMARK [2][-]{subsection.5.3.4}{Karatsuba Squaring}{section.5.3} -\BOOKMARK [2][-]{subsection.5.3.5}{Toom-Cook Squaring}{section.5.3} -\BOOKMARK [2][-]{subsection.5.3.6}{High Level Squaring}{section.5.3} -\BOOKMARK [0][-]{chapter.6}{Modular Reduction}{} -\BOOKMARK [1][-]{section.6.1}{Basics of Modular Reduction}{chapter.6} -\BOOKMARK [1][-]{section.6.2}{The Barrett Reduction}{chapter.6} -\BOOKMARK [2][-]{subsection.6.2.1}{Fixed Point Arithmetic}{section.6.2} -\BOOKMARK [2][-]{subsection.6.2.2}{Choosing a Radix Point}{section.6.2} -\BOOKMARK [2][-]{subsection.6.2.3}{Trimming the Quotient}{section.6.2} -\BOOKMARK [2][-]{subsection.6.2.4}{Trimming the Residue}{section.6.2} -\BOOKMARK [2][-]{subsection.6.2.5}{The Barrett Algorithm}{section.6.2} -\BOOKMARK [2][-]{subsection.6.2.6}{The Barrett Setup Algorithm}{section.6.2} -\BOOKMARK [1][-]{section.6.3}{The Montgomery Reduction}{chapter.6} -\BOOKMARK [2][-]{subsection.6.3.1}{Digit Based Montgomery Reduction}{section.6.3} -\BOOKMARK [2][-]{subsection.6.3.2}{Baseline Montgomery Reduction}{section.6.3} -\BOOKMARK [2][-]{subsection.6.3.3}{Faster ``Comba'' Montgomery Reduction}{section.6.3} -\BOOKMARK [2][-]{subsection.6.3.4}{Montgomery Setup}{section.6.3} -\BOOKMARK [1][-]{section.6.4}{The Diminished Radix Algorithm}{chapter.6} -\BOOKMARK [2][-]{subsection.6.4.1}{Choice of Moduli}{section.6.4} -\BOOKMARK [2][-]{subsection.6.4.2}{Choice of k}{section.6.4} -\BOOKMARK [2][-]{subsection.6.4.3}{Restricted Diminished Radix Reduction}{section.6.4} -\BOOKMARK [2][-]{subsection.6.4.4}{Unrestricted Diminished Radix Reduction}{section.6.4} -\BOOKMARK [1][-]{section.6.5}{Algorithm Comparison}{chapter.6} -\BOOKMARK [0][-]{chapter.7}{Exponentiation}{} -\BOOKMARK [1][-]{section.7.1}{Exponentiation Basics}{chapter.7} -\BOOKMARK [2][-]{subsection.7.1.1}{Single Digit Exponentiation}{section.7.1} -\BOOKMARK [1][-]{section.7.2}{k-ary Exponentiation}{chapter.7} -\BOOKMARK [2][-]{subsection.7.2.1}{Optimal Values of k}{section.7.2} -\BOOKMARK [2][-]{subsection.7.2.2}{Sliding-Window Exponentiation}{section.7.2} -\BOOKMARK [1][-]{section.7.3}{Modular Exponentiation}{chapter.7} -\BOOKMARK [2][-]{subsection.7.3.1}{Barrett Modular Exponentiation}{section.7.3} -\BOOKMARK [1][-]{section.7.4}{Quick Power of Two}{chapter.7} -\BOOKMARK [0][-]{chapter.8}{Higher Level Algorithms}{} -\BOOKMARK [1][-]{section.8.1}{Integer Division with Remainder}{chapter.8} -\BOOKMARK [2][-]{subsection.8.1.1}{Quotient Estimation}{section.8.1} -\BOOKMARK [2][-]{subsection.8.1.2}{Normalized Integers}{section.8.1} -\BOOKMARK [2][-]{subsection.8.1.3}{Radix- Division with Remainder}{section.8.1} -\BOOKMARK [1][-]{section.8.2}{Single Digit Helpers}{chapter.8} -\BOOKMARK [2][-]{subsection.8.2.1}{Single Digit Addition and Subtraction}{section.8.2} -\BOOKMARK [2][-]{subsection.8.2.2}{Single Digit Multiplication}{section.8.2} -\BOOKMARK [2][-]{subsection.8.2.3}{Single Digit Division}{section.8.2} -\BOOKMARK [2][-]{subsection.8.2.4}{Single Digit Root Extraction}{section.8.2} -\BOOKMARK [1][-]{section.8.3}{Random Number Generation}{chapter.8} -\BOOKMARK [1][-]{section.8.4}{Formatted Representations}{chapter.8} -\BOOKMARK [2][-]{subsection.8.4.1}{Reading Radix-n Input}{section.8.4} -\BOOKMARK [2][-]{subsection.8.4.2}{Generating Radix-n Output}{section.8.4} -\BOOKMARK [0][-]{chapter.9}{Number Theoretic Algorithms}{} -\BOOKMARK [1][-]{section.9.1}{Greatest Common Divisor}{chapter.9} -\BOOKMARK [2][-]{subsection.9.1.1}{Complete Greatest Common Divisor}{section.9.1} -\BOOKMARK [1][-]{section.9.2}{Least Common Multiple}{chapter.9} -\BOOKMARK [1][-]{section.9.3}{Jacobi Symbol Computation}{chapter.9} -\BOOKMARK [2][-]{subsection.9.3.1}{Jacobi Symbol}{section.9.3} -\BOOKMARK [1][-]{section.9.4}{Modular Inverse}{chapter.9} -\BOOKMARK [2][-]{subsection.9.4.1}{General Case}{section.9.4} -\BOOKMARK [1][-]{section.9.5}{Primality Tests}{chapter.9} -\BOOKMARK [2][-]{subsection.9.5.1}{Trial Division}{section.9.5} -\BOOKMARK [2][-]{subsection.9.5.2}{The Fermat Test}{section.9.5} -\BOOKMARK [2][-]{subsection.9.5.3}{The Miller-Rabin Test}{section.9.5} diff --git a/libtommath/tommath.pdf b/libtommath/tommath.pdf deleted file mode 100644 index c9571d8..0000000 Binary files a/libtommath/tommath.pdf and /dev/null differ diff --git a/libtommath/tommath.src b/libtommath/tommath.src index 4065822..768ed10 100644 --- a/libtommath/tommath.src +++ b/libtommath/tommath.src @@ -66,31 +66,20 @@ QUALCOMM Australia \\ } } \maketitle -This text has been placed in the public domain. This text corresponds to the v0.39 release of the +This text has been placed in the public domain. This text corresponds to the v0.39 release of the LibTomMath project. -\begin{alltt} -Tom St Denis -111 Banning Rd -Ottawa, Ontario -K2L 1C3 -Canada - -Phone: 1-613-836-3160 -Email: tomstdenis@gmail.com -\end{alltt} - -This text is formatted to the international B5 paper size of 176mm wide by 250mm tall using the \LaTeX{} +This text is formatted to the international B5 paper size of 176mm wide by 250mm tall using the \LaTeX{} {\em book} macro package and the Perl {\em booker} package. \tableofcontents \listoffigures \chapter*{Prefaces} -When I tell people about my LibTom projects and that I release them as public domain they are often puzzled. -They ask why I did it and especially why I continue to work on them for free. The best I can explain it is ``Because I can.'' -Which seems odd and perhaps too terse for adult conversation. I often qualify it with ``I am able, I am willing.'' which +When I tell people about my LibTom projects and that I release them as public domain they are often puzzled. +They ask why I did it and especially why I continue to work on them for free. The best I can explain it is ``Because I can.'' +Which seems odd and perhaps too terse for adult conversation. I often qualify it with ``I am able, I am willing.'' which perhaps explains it better. I am the first to admit there is not anything that special with what I have done. Perhaps -others can see that too and then we would have a society to be proud of. My LibTom projects are what I am doing to give +others can see that too and then we would have a society to be proud of. My LibTom projects are what I am doing to give back to society in the form of tools and knowledge that can help others in their endeavours. I started writing this book because it was the most logical task to further my goal of open academia. The LibTomMath source @@ -103,9 +92,9 @@ from relatively straightforward algebra and I hope that this book can be a valua This book and indeed much of the LibTom projects would not exist in their current form if it was not for a plethora of kind people donating their time, resources and kind words to help support my work. Writing a text of significant length (along with the source code) is a tiresome and lengthy process. Currently the LibTom project is four years old, -comprises of literally thousands of users and over 100,000 lines of source code, TeX and other material. People like Mads and Greg -were there at the beginning to encourage me to work well. It is amazing how timely validation from others can boost morale to -continue the project. Definitely my parents were there for me by providing room and board during the many months of work in 2003. +comprises of literally thousands of users and over 100,000 lines of source code, TeX and other material. People like Mads and Greg +were there at the beginning to encourage me to work well. It is amazing how timely validation from others can boost morale to +continue the project. Definitely my parents were there for me by providing room and board during the many months of work in 2003. To my many friends whom I have met through the years I thank you for the good times and the words of encouragement. I hope I honour your kind gestures with this project. @@ -115,22 +104,22 @@ Open Source. Open Academia. Open Minds. \begin{flushright} Tom St Denis \end{flushright} \newpage -I found the opportunity to work with Tom appealing for several reasons, not only could I broaden my own horizons, but also +I found the opportunity to work with Tom appealing for several reasons, not only could I broaden my own horizons, but also contribute to educate others facing the problem of having to handle big number mathematical calculations. -This book is Tom's child and he has been caring and fostering the project ever since the beginning with a clear mind of -how he wanted the project to turn out. I have helped by proofreading the text and we have had several discussions about +This book is Tom's child and he has been caring and fostering the project ever since the beginning with a clear mind of +how he wanted the project to turn out. I have helped by proofreading the text and we have had several discussions about the layout and language used. -I hold a masters degree in cryptography from the University of Southern Denmark and have always been interested in the -practical aspects of cryptography. +I hold a masters degree in cryptography from the University of Southern Denmark and have always been interested in the +practical aspects of cryptography. -Having worked in the security consultancy business for several years in S\~{a}o Paulo, Brazil, I have been in touch with a -great deal of work in which multiple precision mathematics was needed. Understanding the possibilities for speeding up -multiple precision calculations is often very important since we deal with outdated machine architecture where modular +Having worked in the security consultancy business for several years in S\~{a}o Paulo, Brazil, I have been in touch with a +great deal of work in which multiple precision mathematics was needed. Understanding the possibilities for speeding up +multiple precision calculations is often very important since we deal with outdated machine architecture where modular reductions, for example, become painfully slow. -This text is for people who stop and wonder when first examining algorithms such as RSA for the first time and asks +This text is for people who stop and wonder when first examining algorithms such as RSA for the first time and asks themselves, ``You tell me this is only secure for large numbers, fine; but how do you implement these numbers?'' \begin{flushright} @@ -142,22 +131,22 @@ Brazil \end{flushright} \newpage -It's all because I broke my leg. That just happened to be at about the same time that Tom asked for someone to review the section of the book about -Karatsuba multiplication. I was laid up, alone and immobile, and thought ``Why not?'' I vaguely knew what Karatsuba multiplication was, but not +It's all because I broke my leg. That just happened to be at about the same time that Tom asked for someone to review the section of the book about +Karatsuba multiplication. I was laid up, alone and immobile, and thought ``Why not?'' I vaguely knew what Karatsuba multiplication was, but not really, so I thought I could help, learn, and stop myself from watching daytime cable TV, all at once. -At the time of writing this, I've still not met Tom or Mads in meatspace. I've been following Tom's progress since his first splash on the +At the time of writing this, I've still not met Tom or Mads in meatspace. I've been following Tom's progress since his first splash on the sci.crypt Usenet news group. I watched him go from a clueless newbie, to the cryptographic equivalent of a reformed smoker, to a real -contributor to the field, over a period of about two years. I've been impressed with his obvious intelligence, and astounded by his productivity. +contributor to the field, over a period of about two years. I've been impressed with his obvious intelligence, and astounded by his productivity. Of course, he's young enough to be my own child, so he doesn't have my problems with staying awake. -When I reviewed that single section of the book, in its very earliest form, I was very pleasantly surprised. So I decided to collaborate more fully, -and at least review all of it, and perhaps write some bits too. There's still a long way to go with it, and I have watched a number of close -friends go through the mill of publication, so I think that the way to go is longer than Tom thinks it is. Nevertheless, it's a good effort, +When I reviewed that single section of the book, in its very earliest form, I was very pleasantly surprised. So I decided to collaborate more fully, +and at least review all of it, and perhaps write some bits too. There's still a long way to go with it, and I have watched a number of close +friends go through the mill of publication, so I think that the way to go is longer than Tom thinks it is. Nevertheless, it's a good effort, and I'm pleased to be involved with it. \begin{flushright} -Greg Rose, Sydney, Australia, June 2003. +Greg Rose, Sydney, Australia, June 2003. \end{flushright} \mainmatter @@ -167,23 +156,23 @@ Greg Rose, Sydney, Australia, June 2003. \subsection{What is Multiple Precision Arithmetic?} When we think of long-hand arithmetic such as addition or multiplication we rarely consider the fact that we instinctively -raise or lower the precision of the numbers we are dealing with. For example, in decimal we almost immediate can -reason that $7$ times $6$ is $42$. However, $42$ has two digits of precision as opposed to one digit we started with. -Further multiplications of say $3$ result in a larger precision result $126$. In these few examples we have multiple +raise or lower the precision of the numbers we are dealing with. For example, in decimal we almost immediate can +reason that $7$ times $6$ is $42$. However, $42$ has two digits of precision as opposed to one digit we started with. +Further multiplications of say $3$ result in a larger precision result $126$. In these few examples we have multiple precisions for the numbers we are working with. Despite the various levels of precision a single subset\footnote{With the occasional optimization.} - of algorithms can be designed to accomodate them. + of algorithms can be designed to accomodate them. By way of comparison a fixed or single precision operation would lose precision on various operations. For example, in the decimal system with fixed precision $6 \cdot 7 = 2$. Essentially at the heart of computer based multiple precision arithmetic are the same long-hand algorithms taught in -schools to manually add, subtract, multiply and divide. +schools to manually add, subtract, multiply and divide. \subsection{The Need for Multiple Precision Arithmetic} The most prevalent need for multiple precision arithmetic, often referred to as ``bignum'' math, is within the implementation -of public-key cryptography algorithms. Algorithms such as RSA \cite{RSAREF} and Diffie-Hellman \cite{DHREF} require -integers of significant magnitude to resist known cryptanalytic attacks. For example, at the time of this writing a -typical RSA modulus would be at least greater than $10^{309}$. However, modern programming languages such as ISO C \cite{ISOC} and +of public-key cryptography algorithms. Algorithms such as RSA \cite{RSAREF} and Diffie-Hellman \cite{DHREF} require +integers of significant magnitude to resist known cryptanalytic attacks. For example, at the time of this writing a +typical RSA modulus would be at least greater than $10^{309}$. However, modern programming languages such as ISO C \cite{ISOC} and Java \cite{JAVA} only provide instrinsic support for integers which are relatively small and single precision. \begin{figure}[!here] @@ -201,27 +190,27 @@ Java \cite{JAVA} only provide instrinsic support for integers which are relative \label{fig:ISOC} \end{figure} -The largest data type guaranteed to be provided by the ISO C programming -language\footnote{As per the ISO C standard. However, each compiler vendor is allowed to augment the precision as they -see fit.} can only represent values up to $10^{19}$ as shown in figure \ref{fig:ISOC}. On its own the C language is -insufficient to accomodate the magnitude required for the problem at hand. An RSA modulus of magnitude $10^{19}$ could be -trivially factored\footnote{A Pollard-Rho factoring would take only $2^{16}$ time.} on the average desktop computer, -rendering any protocol based on the algorithm insecure. Multiple precision algorithms solve this very problem by +The largest data type guaranteed to be provided by the ISO C programming +language\footnote{As per the ISO C standard. However, each compiler vendor is allowed to augment the precision as they +see fit.} can only represent values up to $10^{19}$ as shown in figure \ref{fig:ISOC}. On its own the C language is +insufficient to accomodate the magnitude required for the problem at hand. An RSA modulus of magnitude $10^{19}$ could be +trivially factored\footnote{A Pollard-Rho factoring would take only $2^{16}$ time.} on the average desktop computer, +rendering any protocol based on the algorithm insecure. Multiple precision algorithms solve this very problem by extending the range of representable integers while using single precision data types. -Most advancements in fast multiple precision arithmetic stem from the need for faster and more efficient cryptographic -primitives. Faster modular reduction and exponentiation algorithms such as Barrett's algorithm, which have appeared in -various cryptographic journals, can render algorithms such as RSA and Diffie-Hellman more efficient. In fact, several -major companies such as RSA Security, Certicom and Entrust have built entire product lines on the implementation and +Most advancements in fast multiple precision arithmetic stem from the need for faster and more efficient cryptographic +primitives. Faster modular reduction and exponentiation algorithms such as Barrett's algorithm, which have appeared in +various cryptographic journals, can render algorithms such as RSA and Diffie-Hellman more efficient. In fact, several +major companies such as RSA Security, Certicom and Entrust have built entire product lines on the implementation and deployment of efficient algorithms. -However, cryptography is not the only field of study that can benefit from fast multiple precision integer routines. -Another auxiliary use of multiple precision integers is high precision floating point data types. -The basic IEEE \cite{IEEE} standard floating point type is made up of an integer mantissa $q$, an exponent $e$ and a sign bit $s$. -Numbers are given in the form $n = q \cdot b^e \cdot -1^s$ where $b = 2$ is the most common base for IEEE. Since IEEE -floating point is meant to be implemented in hardware the precision of the mantissa is often fairly small +However, cryptography is not the only field of study that can benefit from fast multiple precision integer routines. +Another auxiliary use of multiple precision integers is high precision floating point data types. +The basic IEEE \cite{IEEE} standard floating point type is made up of an integer mantissa $q$, an exponent $e$ and a sign bit $s$. +Numbers are given in the form $n = q \cdot b^e \cdot -1^s$ where $b = 2$ is the most common base for IEEE. Since IEEE +floating point is meant to be implemented in hardware the precision of the mantissa is often fairly small (\textit{23, 48 and 64 bits}). The mantissa is merely an integer and a multiple precision integer could be used to create -a mantissa of much larger precision than hardware alone can efficiently support. This approach could be useful where +a mantissa of much larger precision than hardware alone can efficiently support. This approach could be useful where scientific applications must minimize the total output error over long calculations. Yet another use for large integers is within arithmetic on polynomials of large characteristic (i.e. $GF(p)[x]$ for large $p$). @@ -229,152 +218,152 @@ In fact the library discussed within this text has already been used to form a p \subsection{Benefits of Multiple Precision Arithmetic} \index{precision} -The benefit of multiple precision representations over single or fixed precision representations is that -no precision is lost while representing the result of an operation which requires excess precision. For example, -the product of two $n$-bit integers requires at least $2n$ bits of precision to be represented faithfully. A multiple -precision algorithm would augment the precision of the destination to accomodate the result while a single precision system +The benefit of multiple precision representations over single or fixed precision representations is that +no precision is lost while representing the result of an operation which requires excess precision. For example, +the product of two $n$-bit integers requires at least $2n$ bits of precision to be represented faithfully. A multiple +precision algorithm would augment the precision of the destination to accomodate the result while a single precision system would truncate excess bits to maintain a fixed level of precision. It is possible to implement algorithms which require large integers with fixed precision algorithms. For example, elliptic -curve cryptography (\textit{ECC}) is often implemented on smartcards by fixing the precision of the integers to the maximum -size the system will ever need. Such an approach can lead to vastly simpler algorithms which can accomodate the -integers required even if the host platform cannot natively accomodate them\footnote{For example, the average smartcard +curve cryptography (\textit{ECC}) is often implemented on smartcards by fixing the precision of the integers to the maximum +size the system will ever need. Such an approach can lead to vastly simpler algorithms which can accomodate the +integers required even if the host platform cannot natively accomodate them\footnote{For example, the average smartcard processor has an 8 bit accumulator.}. However, as efficient as such an approach may be, the resulting source code is not normally very flexible. It cannot, at runtime, accomodate inputs of higher magnitude than the designer anticipated. -Multiple precision algorithms have the most overhead of any style of arithmetic. For the the most part the +Multiple precision algorithms have the most overhead of any style of arithmetic. For the the most part the overhead can be kept to a minimum with careful planning, but overall, it is not well suited for most memory starved -platforms. However, multiple precision algorithms do offer the most flexibility in terms of the magnitude of the -inputs. That is, the same algorithms based on multiple precision integers can accomodate any reasonable size input -without the designer's explicit forethought. This leads to lower cost of ownership for the code as it only has to +platforms. However, multiple precision algorithms do offer the most flexibility in terms of the magnitude of the +inputs. That is, the same algorithms based on multiple precision integers can accomodate any reasonable size input +without the designer's explicit forethought. This leads to lower cost of ownership for the code as it only has to be written and tested once. \section{Purpose of This Text} -The purpose of this text is to instruct the reader regarding how to implement efficient multiple precision algorithms. -That is to not only explain a limited subset of the core theory behind the algorithms but also the various ``house keeping'' -elements that are neglected by authors of other texts on the subject. Several well reknowned texts \cite{TAOCPV2,HAC} -give considerably detailed explanations of the theoretical aspects of algorithms and often very little information -regarding the practical implementation aspects. - -In most cases how an algorithm is explained and how it is actually implemented are two very different concepts. For -example, the Handbook of Applied Cryptography (\textit{HAC}), algorithm 14.7 on page 594, gives a relatively simple -algorithm for performing multiple precision integer addition. However, the description lacks any discussion concerning +The purpose of this text is to instruct the reader regarding how to implement efficient multiple precision algorithms. +That is to not only explain a limited subset of the core theory behind the algorithms but also the various ``house keeping'' +elements that are neglected by authors of other texts on the subject. Several well reknowned texts \cite{TAOCPV2,HAC} +give considerably detailed explanations of the theoretical aspects of algorithms and often very little information +regarding the practical implementation aspects. + +In most cases how an algorithm is explained and how it is actually implemented are two very different concepts. For +example, the Handbook of Applied Cryptography (\textit{HAC}), algorithm 14.7 on page 594, gives a relatively simple +algorithm for performing multiple precision integer addition. However, the description lacks any discussion concerning the fact that the two integer inputs may be of differing magnitudes. As a result the implementation is not as simple -as the text would lead people to believe. Similarly the division routine (\textit{algorithm 14.20, pp. 598}) does not +as the text would lead people to believe. Similarly the division routine (\textit{algorithm 14.20, pp. 598}) does not discuss how to handle sign or handle the dividend's decreasing magnitude in the main loop (\textit{step \#3}). -Both texts also do not discuss several key optimal algorithms required such as ``Comba'' and Karatsuba multipliers -and fast modular inversion, which we consider practical oversights. These optimal algorithms are vital to achieve -any form of useful performance in non-trivial applications. +Both texts also do not discuss several key optimal algorithms required such as ``Comba'' and Karatsuba multipliers +and fast modular inversion, which we consider practical oversights. These optimal algorithms are vital to achieve +any form of useful performance in non-trivial applications. To solve this problem the focus of this text is on the practical aspects of implementing a multiple precision integer -package. As a case study the ``LibTomMath''\footnote{Available at \url{http://math.libtomcrypt.com}} package is used -to demonstrate algorithms with real implementations\footnote{In the ISO C programming language.} that have been field -tested and work very well. The LibTomMath library is freely available on the Internet for all uses and this text +package. As a case study the ``LibTomMath''\footnote{Available at \url{http://math.libtomcrypt.com}} package is used +to demonstrate algorithms with real implementations\footnote{In the ISO C programming language.} that have been field +tested and work very well. The LibTomMath library is freely available on the Internet for all uses and this text discusses a very large portion of the inner workings of the library. -The algorithms that are presented will always include at least one ``pseudo-code'' description followed -by the actual C source code that implements the algorithm. The pseudo-code can be used to implement the same -algorithm in other programming languages as the reader sees fit. +The algorithms that are presented will always include at least one ``pseudo-code'' description followed +by the actual C source code that implements the algorithm. The pseudo-code can be used to implement the same +algorithm in other programming languages as the reader sees fit. This text shall also serve as a walkthrough of the creation of multiple precision algorithms from scratch. Showing -the reader how the algorithms fit together as well as where to start on various taskings. +the reader how the algorithms fit together as well as where to start on various taskings. \section{Discussion and Notation} \subsection{Notation} A multiple precision integer of $n$-digits shall be denoted as $x = (x_{n-1}, \ldots, x_1, x_0)_{ \beta }$ and represent -the integer $x \equiv \sum_{i=0}^{n-1} x_i\beta^i$. The elements of the array $x$ are said to be the radix $\beta$ digits -of the integer. For example, $x = (1,2,3)_{10}$ would represent the integer -$1\cdot 10^2 + 2\cdot10^1 + 3\cdot10^0 = 123$. +the integer $x \equiv \sum_{i=0}^{n-1} x_i\beta^i$. The elements of the array $x$ are said to be the radix $\beta$ digits +of the integer. For example, $x = (1,2,3)_{10}$ would represent the integer +$1\cdot 10^2 + 2\cdot10^1 + 3\cdot10^0 = 123$. \index{mp\_int} -The term ``mp\_int'' shall refer to a composite structure which contains the digits of the integer it represents, as well -as auxilary data required to manipulate the data. These additional members are discussed further in section -\ref{sec:MPINT}. For the purposes of this text a ``multiple precision integer'' and an ``mp\_int'' are assumed to be -synonymous. When an algorithm is specified to accept an mp\_int variable it is assumed the various auxliary data members -are present as well. An expression of the type \textit{variablename.item} implies that it should evaluate to the -member named ``item'' of the variable. For example, a string of characters may have a member ``length'' which would -evaluate to the number of characters in the string. If the string $a$ equals ``hello'' then it follows that -$a.length = 5$. +The term ``mp\_int'' shall refer to a composite structure which contains the digits of the integer it represents, as well +as auxilary data required to manipulate the data. These additional members are discussed further in section +\ref{sec:MPINT}. For the purposes of this text a ``multiple precision integer'' and an ``mp\_int'' are assumed to be +synonymous. When an algorithm is specified to accept an mp\_int variable it is assumed the various auxliary data members +are present as well. An expression of the type \textit{variablename.item} implies that it should evaluate to the +member named ``item'' of the variable. For example, a string of characters may have a member ``length'' which would +evaluate to the number of characters in the string. If the string $a$ equals ``hello'' then it follows that +$a.length = 5$. For certain discussions more generic algorithms are presented to help the reader understand the final algorithm used -to solve a given problem. When an algorithm is described as accepting an integer input it is assumed the input is -a plain integer with no additional multiple-precision members. That is, algorithms that use integers as opposed to -mp\_ints as inputs do not concern themselves with the housekeeping operations required such as memory management. These +to solve a given problem. When an algorithm is described as accepting an integer input it is assumed the input is +a plain integer with no additional multiple-precision members. That is, algorithms that use integers as opposed to +mp\_ints as inputs do not concern themselves with the housekeeping operations required such as memory management. These algorithms will be used to establish the relevant theory which will subsequently be used to describe a multiple -precision algorithm to solve the same problem. +precision algorithm to solve the same problem. \subsection{Precision Notation} -The variable $\beta$ represents the radix of a single digit of a multiple precision integer and -must be of the form $q^p$ for $q, p \in \Z^+$. A single precision variable must be able to represent integers in -the range $0 \le x < q \beta$ while a double precision variable must be able to represent integers in the range -$0 \le x < q \beta^2$. The extra radix-$q$ factor allows additions and subtractions to proceed without truncation of the +The variable $\beta$ represents the radix of a single digit of a multiple precision integer and +must be of the form $q^p$ for $q, p \in \Z^+$. A single precision variable must be able to represent integers in +the range $0 \le x < q \beta$ while a double precision variable must be able to represent integers in the range +$0 \le x < q \beta^2$. The extra radix-$q$ factor allows additions and subtractions to proceed without truncation of the carry. Since all modern computers are binary, it is assumed that $q$ is two. \index{mp\_digit} \index{mp\_word} -Within the source code that will be presented for each algorithm, the data type \textbf{mp\_digit} will represent -a single precision integer type, while, the data type \textbf{mp\_word} will represent a double precision integer type. In -several algorithms (notably the Comba routines) temporary results will be stored in arrays of double precision mp\_words. -For the purposes of this text $x_j$ will refer to the $j$'th digit of a single precision array and $\hat x_j$ will refer to +Within the source code that will be presented for each algorithm, the data type \textbf{mp\_digit} will represent +a single precision integer type, while, the data type \textbf{mp\_word} will represent a double precision integer type. In +several algorithms (notably the Comba routines) temporary results will be stored in arrays of double precision mp\_words. +For the purposes of this text $x_j$ will refer to the $j$'th digit of a single precision array and $\hat x_j$ will refer to the $j$'th digit of a double precision array. Whenever an expression is to be assigned to a double precision -variable it is assumed that all single precision variables are promoted to double precision during the evaluation. +variable it is assumed that all single precision variables are promoted to double precision during the evaluation. Expressions that are assigned to a single precision variable are truncated to fit within the precision of a single precision data type. -For example, if $\beta = 10^2$ a single precision data type may represent a value in the +For example, if $\beta = 10^2$ a single precision data type may represent a value in the range $0 \le x < 10^3$, while a double precision data type may represent a value in the range $0 \le x < 10^5$. Let $a = 23$ and $b = 49$ represent two single precision variables. The single precision product shall be written as $c \leftarrow a \cdot b$ while the double precision product shall be written as $\hat c \leftarrow a \cdot b$. -In this particular case, $\hat c = 1127$ and $c = 127$. The most significant digit of the product would not fit -in a single precision data type and as a result $c \ne \hat c$. +In this particular case, $\hat c = 1127$ and $c = 127$. The most significant digit of the product would not fit +in a single precision data type and as a result $c \ne \hat c$. \subsection{Algorithm Inputs and Outputs} Within the algorithm descriptions all variables are assumed to be scalars of either single or double precision -as indicated. The only exception to this rule is when variables have been indicated to be of type mp\_int. This -distinction is important as scalars are often used as array indicies and various other counters. +as indicated. The only exception to this rule is when variables have been indicated to be of type mp\_int. This +distinction is important as scalars are often used as array indicies and various other counters. \subsection{Mathematical Expressions} -The $\lfloor \mbox{ } \rfloor$ brackets imply an expression truncated to an integer not greater than the expression +The $\lfloor \mbox{ } \rfloor$ brackets imply an expression truncated to an integer not greater than the expression itself. For example, $\lfloor 5.7 \rfloor = 5$. Similarly the $\lceil \mbox{ } \rceil$ brackets imply an expression -rounded to an integer not less than the expression itself. For example, $\lceil 5.1 \rceil = 6$. Typically when -the $/$ division symbol is used the intention is to perform an integer division with truncation. For example, -$5/2 = 2$ which will often be written as $\lfloor 5/2 \rfloor = 2$ for clarity. When an expression is written as a -fraction a real value division is implied, for example ${5 \over 2} = 2.5$. +rounded to an integer not less than the expression itself. For example, $\lceil 5.1 \rceil = 6$. Typically when +the $/$ division symbol is used the intention is to perform an integer division with truncation. For example, +$5/2 = 2$ which will often be written as $\lfloor 5/2 \rfloor = 2$ for clarity. When an expression is written as a +fraction a real value division is implied, for example ${5 \over 2} = 2.5$. The norm of a multiple precision integer, for example $\vert \vert x \vert \vert$, will be used to represent the number of digits in the representation -of the integer. For example, $\vert \vert 123 \vert \vert = 3$ and $\vert \vert 79452 \vert \vert = 5$. +of the integer. For example, $\vert \vert 123 \vert \vert = 3$ and $\vert \vert 79452 \vert \vert = 5$. \subsection{Work Effort} \index{big-Oh} -To measure the efficiency of the specified algorithms, a modified big-Oh notation is used. In this system all -single precision operations are considered to have the same cost\footnote{Except where explicitly noted.}. -That is a single precision addition, multiplication and division are assumed to take the same time to +To measure the efficiency of the specified algorithms, a modified big-Oh notation is used. In this system all +single precision operations are considered to have the same cost\footnote{Except where explicitly noted.}. +That is a single precision addition, multiplication and division are assumed to take the same time to complete. While this is generally not true in practice, it will simplify the discussions considerably. -Some algorithms have slight advantages over others which is why some constants will not be removed in -the notation. For example, a normal baseline multiplication (section \ref{sec:basemult}) requires $O(n^2)$ work while a -baseline squaring (section \ref{sec:basesquare}) requires $O({{n^2 + n}\over 2})$ work. In standard big-Oh notation these -would both be said to be equivalent to $O(n^2)$. However, -in the context of the this text this is not the case as the magnitude of the inputs will typically be rather small. As a +Some algorithms have slight advantages over others which is why some constants will not be removed in +the notation. For example, a normal baseline multiplication (section \ref{sec:basemult}) requires $O(n^2)$ work while a +baseline squaring (section \ref{sec:basesquare}) requires $O({{n^2 + n}\over 2})$ work. In standard big-Oh notation these +would both be said to be equivalent to $O(n^2)$. However, +in the context of the this text this is not the case as the magnitude of the inputs will typically be rather small. As a result small constant factors in the work effort will make an observable difference in algorithm efficiency. -All of the algorithms presented in this text have a polynomial time work level. That is, of the form -$O(n^k)$ for $n, k \in \Z^{+}$. This will help make useful comparisons in terms of the speed of the algorithms and how +All of the algorithms presented in this text have a polynomial time work level. That is, of the form +$O(n^k)$ for $n, k \in \Z^{+}$. This will help make useful comparisons in terms of the speed of the algorithms and how various optimizations will help pay off in the long run. \section{Exercises} Within the more advanced chapters a section will be set aside to give the reader some challenging exercises related to -the discussion at hand. These exercises are not designed to be prize winning problems, but instead to be thought -provoking. Wherever possible the problems are forward minded, stating problems that will be answered in subsequent -chapters. The reader is encouraged to finish the exercises as they appear to get a better understanding of the -subject material. +the discussion at hand. These exercises are not designed to be prize winning problems, but instead to be thought +provoking. Wherever possible the problems are forward minded, stating problems that will be answered in subsequent +chapters. The reader is encouraged to finish the exercises as they appear to get a better understanding of the +subject material. That being said, the problems are designed to affirm knowledge of a particular subject matter. Students in particular are encouraged to verify they can answer the problems correctly before moving on. Similar to the exercises of \cite[pp. ix]{TAOCPV2} these exercises are given a scoring system based on the difficulty of -the problem. However, unlike \cite{TAOCPV2} the problems do not get nearly as hard. The scoring of these -exercises ranges from one (the easiest) to five (the hardest). The following table sumarizes the +the problem. However, unlike \cite{TAOCPV2} the problems do not get nearly as hard. The scoring of these +exercises ranges from one (the easiest) to five (the hardest). The following table sumarizes the scoring system used. \begin{figure}[here] @@ -404,21 +393,21 @@ scoring system used. \end{figure} Problems at the first level are meant to be simple questions that the reader can answer quickly without programming a solution or -devising new theory. These problems are quick tests to see if the material is understood. Problems at the second level +devising new theory. These problems are quick tests to see if the material is understood. Problems at the second level are also designed to be easy but will require a program or algorithm to be implemented to arrive at the answer. These -two levels are essentially entry level questions. +two levels are essentially entry level questions. -Problems at the third level are meant to be a bit more difficult than the first two levels. The answer is often -fairly obvious but arriving at an exacting solution requires some thought and skill. These problems will almost always +Problems at the third level are meant to be a bit more difficult than the first two levels. The answer is often +fairly obvious but arriving at an exacting solution requires some thought and skill. These problems will almost always involve devising a new algorithm or implementing a variation of another algorithm previously presented. Readers who can answer these questions will feel comfortable with the concepts behind the topic at hand. -Problems at the fourth level are meant to be similar to those of the level three questions except they will require -additional research to be completed. The reader will most likely not know the answer right away, nor will the text provide -the exact details of the answer until a subsequent chapter. +Problems at the fourth level are meant to be similar to those of the level three questions except they will require +additional research to be completed. The reader will most likely not know the answer right away, nor will the text provide +the exact details of the answer until a subsequent chapter. -Problems at the fifth level are meant to be the hardest -problems relative to all the other problems in the chapter. People who can correctly answer fifth level problems have a +Problems at the fifth level are meant to be the hardest +problems relative to all the other problems in the chapter. People who can correctly answer fifth level problems have a mastery of the subject matter at hand. Often problems will be tied together. The purpose of this is to start a chain of thought that will be discussed in future chapters. The reader @@ -427,43 +416,43 @@ is encouraged to answer the follow-up problems and try to draw the relevance of \section{Introduction to LibTomMath} \subsection{What is LibTomMath?} -LibTomMath is a free and open source multiple precision integer library written entirely in portable ISO C. By portable it -is meant that the library does not contain any code that is computer platform dependent or otherwise problematic to use on -any given platform. +LibTomMath is a free and open source multiple precision integer library written entirely in portable ISO C. By portable it +is meant that the library does not contain any code that is computer platform dependent or otherwise problematic to use on +any given platform. The library has been successfully tested under numerous operating systems including Unix\footnote{All of these -trademarks belong to their respective rightful owners.}, MacOS, Windows, Linux, PalmOS and on standalone hardware such -as the Gameboy Advance. The library is designed to contain enough functionality to be able to develop applications such +trademarks belong to their respective rightful owners.}, MacOS, Windows, Linux, PalmOS and on standalone hardware such +as the Gameboy Advance. The library is designed to contain enough functionality to be able to develop applications such as public key cryptosystems and still maintain a relatively small footprint. \subsection{Goals of LibTomMath} -Libraries which obtain the most efficiency are rarely written in a high level programming language such as C. However, -even though this library is written entirely in ISO C, considerable care has been taken to optimize the algorithm implementations within the -library. Specifically the code has been written to work well with the GNU C Compiler (\textit{GCC}) on both x86 and ARM -processors. Wherever possible, highly efficient algorithms, such as Karatsuba multiplication, sliding window -exponentiation and Montgomery reduction have been provided to make the library more efficient. +Libraries which obtain the most efficiency are rarely written in a high level programming language such as C. However, +even though this library is written entirely in ISO C, considerable care has been taken to optimize the algorithm implementations within the +library. Specifically the code has been written to work well with the GNU C Compiler (\textit{GCC}) on both x86 and ARM +processors. Wherever possible, highly efficient algorithms, such as Karatsuba multiplication, sliding window +exponentiation and Montgomery reduction have been provided to make the library more efficient. -Even with the nearly optimal and specialized algorithms that have been included the Application Programing Interface -(\textit{API}) has been kept as simple as possible. Often generic place holder routines will make use of specialized -algorithms automatically without the developer's specific attention. One such example is the generic multiplication -algorithm \textbf{mp\_mul()} which will automatically use Toom--Cook, Karatsuba, Comba or baseline multiplication -based on the magnitude of the inputs and the configuration of the library. +Even with the nearly optimal and specialized algorithms that have been included the Application Programing Interface +(\textit{API}) has been kept as simple as possible. Often generic place holder routines will make use of specialized +algorithms automatically without the developer's specific attention. One such example is the generic multiplication +algorithm \textbf{mp\_mul()} which will automatically use Toom--Cook, Karatsuba, Comba or baseline multiplication +based on the magnitude of the inputs and the configuration of the library. -Making LibTomMath as efficient as possible is not the only goal of the LibTomMath project. Ideally the library should +Making LibTomMath as efficient as possible is not the only goal of the LibTomMath project. Ideally the library should be source compatible with another popular library which makes it more attractive for developers to use. In this case the -MPI library was used as a API template for all the basic functions. MPI was chosen because it is another library that fits -in the same niche as LibTomMath. Even though LibTomMath uses MPI as the template for the function names and argument +MPI library was used as a API template for all the basic functions. MPI was chosen because it is another library that fits +in the same niche as LibTomMath. Even though LibTomMath uses MPI as the template for the function names and argument passing conventions, it has been written from scratch by Tom St Denis. -The project is also meant to act as a learning tool for students, the logic being that no easy-to-follow ``bignum'' -library exists which can be used to teach computer science students how to perform fast and reliable multiple precision -integer arithmetic. To this end the source code has been given quite a few comments and algorithm discussion points. +The project is also meant to act as a learning tool for students, the logic being that no easy-to-follow ``bignum'' +library exists which can be used to teach computer science students how to perform fast and reliable multiple precision +integer arithmetic. To this end the source code has been given quite a few comments and algorithm discussion points. \section{Choice of LibTomMath} LibTomMath was chosen as the case study of this text not only because the author of both projects is one and the same but -for more worthy reasons. Other libraries such as GMP \cite{GMP}, MPI \cite{MPI}, LIP \cite{LIP} and OpenSSL -\cite{OPENSSL} have multiple precision integer arithmetic routines but would not be ideal for this text for +for more worthy reasons. Other libraries such as GMP \cite{GMP}, MPI \cite{MPI}, LIP \cite{LIP} and OpenSSL +\cite{OPENSSL} have multiple precision integer arithmetic routines but would not be ideal for this text for reasons that will be explained in the following sub-sections. \subsection{Code Base} @@ -472,115 +461,115 @@ segments of code littered throughout the source. This clean and uncluttered app developer can more readily discern the true intent of a given section of source code without trying to keep track of what conditional code will be used. -The code base of LibTomMath is well organized. Each function is in its own separate source code file +The code base of LibTomMath is well organized. Each function is in its own separate source code file which allows the reader to find a given function very quickly. On average there are $76$ lines of code per source file which makes the source very easily to follow. By comparison MPI and LIP are single file projects making code tracing -very hard. GMP has many conditional code segments which also hinder tracing. +very hard. GMP has many conditional code segments which also hinder tracing. When compiled with GCC for the x86 processor and optimized for speed the entire library is approximately $100$KiB\footnote{The notation ``KiB'' means $2^{10}$ octets, similarly ``MiB'' means $2^{20}$ octets.} - which is fairly small compared to GMP (over $250$KiB). LibTomMath is slightly larger than MPI (which compiles to about + which is fairly small compared to GMP (over $250$KiB). LibTomMath is slightly larger than MPI (which compiles to about $50$KiB) but LibTomMath is also much faster and more complete than MPI. \subsection{API Simplicity} -LibTomMath is designed after the MPI library and shares the API design. Quite often programs that use MPI will build -with LibTomMath without change. The function names correlate directly to the action they perform. Almost all of the -functions share the same parameter passing convention. The learning curve is fairly shallow with the API provided -which is an extremely valuable benefit for the student and developer alike. +LibTomMath is designed after the MPI library and shares the API design. Quite often programs that use MPI will build +with LibTomMath without change. The function names correlate directly to the action they perform. Almost all of the +functions share the same parameter passing convention. The learning curve is fairly shallow with the API provided +which is an extremely valuable benefit for the student and developer alike. -The LIP library is an example of a library with an API that is awkward to work with. LIP uses function names that are often ``compressed'' to -illegible short hand. LibTomMath does not share this characteristic. +The LIP library is an example of a library with an API that is awkward to work with. LIP uses function names that are often ``compressed'' to +illegible short hand. LibTomMath does not share this characteristic. The GMP library also does not return error codes. Instead it uses a POSIX.1 \cite{POSIX1} signal system where errors are signaled to the host application. This happens to be the fastest approach but definitely not the most versatile. In -effect a math error (i.e. invalid input, heap error, etc) can cause a program to stop functioning which is definitely +effect a math error (i.e. invalid input, heap error, etc) can cause a program to stop functioning which is definitely undersireable in many situations. \subsection{Optimizations} While LibTomMath is certainly not the fastest library (GMP often beats LibTomMath by a factor of two) it does -feature a set of optimal algorithms for tasks such as modular reduction, exponentiation, multiplication and squaring. GMP +feature a set of optimal algorithms for tasks such as modular reduction, exponentiation, multiplication and squaring. GMP and LIP also feature such optimizations while MPI only uses baseline algorithms with no optimizations. GMP lacks a few of the additional modular reduction optimizations that LibTomMath features\footnote{At the time of this writing GMP -only had Barrett and Montgomery modular reduction algorithms.}. +only had Barrett and Montgomery modular reduction algorithms.}. LibTomMath is almost always an order of magnitude faster than the MPI library at computationally expensive tasks such as modular -exponentiation. In the grand scheme of ``bignum'' libraries LibTomMath is faster than the average library and usually +exponentiation. In the grand scheme of ``bignum'' libraries LibTomMath is faster than the average library and usually slower than the best libraries such as GMP and OpenSSL by only a small factor. \subsection{Portability and Stability} -LibTomMath will build ``out of the box'' on any platform equipped with a modern version of the GNU C Compiler -(\textit{GCC}). This means that without changes the library will build without configuration or setting up any -variables. LIP and MPI will build ``out of the box'' as well but have numerous known bugs. Most notably the author of -MPI has recently stopped working on his library and LIP has long since been discontinued. +LibTomMath will build ``out of the box'' on any platform equipped with a modern version of the GNU C Compiler +(\textit{GCC}). This means that without changes the library will build without configuration or setting up any +variables. LIP and MPI will build ``out of the box'' as well but have numerous known bugs. Most notably the author of +MPI has recently stopped working on his library and LIP has long since been discontinued. GMP requires a configuration script to run and will not build out of the box. GMP and LibTomMath are still in active development and are very stable across a variety of platforms. \subsection{Choice} LibTomMath is a relatively compact, well documented, highly optimized and portable library which seems only natural for -the case study of this text. Various source files from the LibTomMath project will be included within the text. However, -the reader is encouraged to download their own copy of the library to actually be able to work with the library. +the case study of this text. Various source files from the LibTomMath project will be included within the text. However, +the reader is encouraged to download their own copy of the library to actually be able to work with the library. \chapter{Getting Started} \section{Library Basics} -The trick to writing any useful library of source code is to build a solid foundation and work outwards from it. First, -a problem along with allowable solution parameters should be identified and analyzed. In this particular case the +The trick to writing any useful library of source code is to build a solid foundation and work outwards from it. First, +a problem along with allowable solution parameters should be identified and analyzed. In this particular case the inability to accomodate multiple precision integers is the problem. Futhermore, the solution must be written as portable source code that is reasonably efficient across several different computer platforms. -After a foundation is formed the remainder of the library can be designed and implemented in a hierarchical fashion. -That is, to implement the lowest level dependencies first and work towards the most abstract functions last. For example, +After a foundation is formed the remainder of the library can be designed and implemented in a hierarchical fashion. +That is, to implement the lowest level dependencies first and work towards the most abstract functions last. For example, before implementing a modular exponentiation algorithm one would implement a modular reduction algorithm. -By building outwards from a base foundation instead of using a parallel design methodology the resulting project is +By building outwards from a base foundation instead of using a parallel design methodology the resulting project is highly modular. Being highly modular is a desirable property of any project as it often means the resulting product -has a small footprint and updates are easy to perform. +has a small footprint and updates are easy to perform. -Usually when I start a project I will begin with the header files. I define the data types I think I will need and -prototype the initial functions that are not dependent on other functions (within the library). After I +Usually when I start a project I will begin with the header files. I define the data types I think I will need and +prototype the initial functions that are not dependent on other functions (within the library). After I implement these base functions I prototype more dependent functions and implement them. The process repeats until -I implement all of the functions I require. For example, in the case of LibTomMath I implemented functions such as -mp\_init() well before I implemented mp\_mul() and even further before I implemented mp\_exptmod(). As an example as to -why this design works note that the Karatsuba and Toom-Cook multipliers were written \textit{after} the -dependent function mp\_exptmod() was written. Adding the new multiplication algorithms did not require changes to the -mp\_exptmod() function itself and lowered the total cost of ownership (\textit{so to speak}) and of development +I implement all of the functions I require. For example, in the case of LibTomMath I implemented functions such as +mp\_init() well before I implemented mp\_mul() and even further before I implemented mp\_exptmod(). As an example as to +why this design works note that the Karatsuba and Toom-Cook multipliers were written \textit{after} the +dependent function mp\_exptmod() was written. Adding the new multiplication algorithms did not require changes to the +mp\_exptmod() function itself and lowered the total cost of ownership (\textit{so to speak}) and of development for new algorithms. This methodology allows new algorithms to be tested in a complete framework with relative ease. FIGU,design_process,Design Flow of the First Few Original LibTomMath Functions. Only after the majority of the functions were in place did I pursue a less hierarchical approach to auditing and optimizing -the source code. For example, one day I may audit the multipliers and the next day the polynomial basis functions. +the source code. For example, one day I may audit the multipliers and the next day the polynomial basis functions. -It only makes sense to begin the text with the preliminary data types and support algorithms required as well. +It only makes sense to begin the text with the preliminary data types and support algorithms required as well. This chapter discusses the core algorithms of the library which are the dependents for every other algorithm. \section{What is a Multiple Precision Integer?} -Recall that most programming languages, in particular ISO C \cite{ISOC}, only have fixed precision data types that on their own cannot -be used to represent values larger than their precision will allow. The purpose of multiple precision algorithms is -to use fixed precision data types to create and manipulate multiple precision integers which may represent values -that are very large. +Recall that most programming languages, in particular ISO C \cite{ISOC}, only have fixed precision data types that on their own cannot +be used to represent values larger than their precision will allow. The purpose of multiple precision algorithms is +to use fixed precision data types to create and manipulate multiple precision integers which may represent values +that are very large. As a well known analogy, school children are taught how to form numbers larger than nine by prepending more radix ten digits. In the decimal system -the largest single digit value is $9$. However, by concatenating digits together larger numbers may be represented. Newly prepended digits -(\textit{to the left}) are said to be in a different power of ten column. That is, the number $123$ can be described as having a $1$ in the hundreds -column, $2$ in the tens column and $3$ in the ones column. Or more formally $123 = 1 \cdot 10^2 + 2 \cdot 10^1 + 3 \cdot 10^0$. Computer based -multiple precision arithmetic is essentially the same concept. Larger integers are represented by adjoining fixed +the largest single digit value is $9$. However, by concatenating digits together larger numbers may be represented. Newly prepended digits +(\textit{to the left}) are said to be in a different power of ten column. That is, the number $123$ can be described as having a $1$ in the hundreds +column, $2$ in the tens column and $3$ in the ones column. Or more formally $123 = 1 \cdot 10^2 + 2 \cdot 10^1 + 3 \cdot 10^0$. Computer based +multiple precision arithmetic is essentially the same concept. Larger integers are represented by adjoining fixed precision computer words with the exception that a different radix is used. -What most people probably do not think about explicitly are the various other attributes that describe a multiple precision -integer. For example, the integer $154_{10}$ has two immediately obvious properties. First, the integer is positive, -that is the sign of this particular integer is positive as opposed to negative. Second, the integer has three digits in -its representation. There is an additional property that the integer posesses that does not concern pencil-and-paper -arithmetic. The third property is how many digits placeholders are available to hold the integer. +What most people probably do not think about explicitly are the various other attributes that describe a multiple precision +integer. For example, the integer $154_{10}$ has two immediately obvious properties. First, the integer is positive, +that is the sign of this particular integer is positive as opposed to negative. Second, the integer has three digits in +its representation. There is an additional property that the integer posesses that does not concern pencil-and-paper +arithmetic. The third property is how many digits placeholders are available to hold the integer. The human analogy of this third property is ensuring there is enough space on the paper to write the integer. For example, -if one starts writing a large number too far to the right on a piece of paper they will have to erase it and move left. +if one starts writing a large number too far to the right on a piece of paper they will have to erase it and move left. Similarly, computer algorithms must maintain strict control over memory usage to ensure that the digits of an integer -will not exceed the allowed boundaries. These three properties make up what is known as a multiple precision -integer or mp\_int for short. +will not exceed the allowed boundaries. These three properties make up what is known as a multiple precision +integer or mp\_int for short. \subsection{The mp\_int Structure} \label{sec:MPINT} -The mp\_int structure is the ISO C based manifestation of what represents a multiple precision integer. The ISO C standard does not provide for -any such data type but it does provide for making composite data types known as structures. The following is the structure definition +The mp\_int structure is the ISO C based manifestation of what represents a multiple precision integer. The ISO C standard does not provide for +any such data type but it does provide for making composite data types known as structures. The following is the structure definition used within LibTomMath. \index{mp\_int} @@ -607,46 +596,46 @@ The mp\_int structure (fig. \ref{fig:mpint}) can be broken down as follows. \begin{enumerate} \item The \textbf{used} parameter denotes how many digits of the array \textbf{dp} contain the digits used to represent -a given integer. The \textbf{used} count must be positive (or zero) and may not exceed the \textbf{alloc} count. +a given integer. The \textbf{used} count must be positive (or zero) and may not exceed the \textbf{alloc} count. -\item The \textbf{alloc} parameter denotes how -many digits are available in the array to use by functions before it has to increase in size. When the \textbf{used} count -of a result would exceed the \textbf{alloc} count all of the algorithms will automatically increase the size of the -array to accommodate the precision of the result. +\item The \textbf{alloc} parameter denotes how +many digits are available in the array to use by functions before it has to increase in size. When the \textbf{used} count +of a result would exceed the \textbf{alloc} count all of the algorithms will automatically increase the size of the +array to accommodate the precision of the result. -\item The pointer \textbf{dp} points to a dynamically allocated array of digits that represent the given multiple -precision integer. It is padded with $(\textbf{alloc} - \textbf{used})$ zero digits. The array is maintained in a least +\item The pointer \textbf{dp} points to a dynamically allocated array of digits that represent the given multiple +precision integer. It is padded with $(\textbf{alloc} - \textbf{used})$ zero digits. The array is maintained in a least significant digit order. As a pencil and paper analogy the array is organized such that the right most digits are stored -first starting at the location indexed by zero\footnote{In C all arrays begin at zero.} in the array. For example, -if \textbf{dp} contains $\lbrace a, b, c, \ldots \rbrace$ where \textbf{dp}$_0 = a$, \textbf{dp}$_1 = b$, \textbf{dp}$_2 = c$, $\ldots$ then -it would represent the integer $a + b\beta + c\beta^2 + \ldots$ +first starting at the location indexed by zero\footnote{In C all arrays begin at zero.} in the array. For example, +if \textbf{dp} contains $\lbrace a, b, c, \ldots \rbrace$ where \textbf{dp}$_0 = a$, \textbf{dp}$_1 = b$, \textbf{dp}$_2 = c$, $\ldots$ then +it would represent the integer $a + b\beta + c\beta^2 + \ldots$ \index{MP\_ZPOS} \index{MP\_NEG} -\item The \textbf{sign} parameter denotes the sign as either zero/positive (\textbf{MP\_ZPOS}) or negative (\textbf{MP\_NEG}). +\item The \textbf{sign} parameter denotes the sign as either zero/positive (\textbf{MP\_ZPOS}) or negative (\textbf{MP\_NEG}). \end{enumerate} \subsubsection{Valid mp\_int Structures} -Several rules are placed on the state of an mp\_int structure and are assumed to be followed for reasons of efficiency. +Several rules are placed on the state of an mp\_int structure and are assumed to be followed for reasons of efficiency. The only exceptions are when the structure is passed to initialization functions such as mp\_init() and mp\_init\_copy(). \begin{enumerate} \item The value of \textbf{alloc} may not be less than one. That is \textbf{dp} always points to a previously allocated array of digits. \item The value of \textbf{used} may not exceed \textbf{alloc} and must be greater than or equal to zero. -\item The value of \textbf{used} implies the digit at index $(used - 1)$ of the \textbf{dp} array is non-zero. That is, +\item The value of \textbf{used} implies the digit at index $(used - 1)$ of the \textbf{dp} array is non-zero. That is, leading zero digits in the most significant positions must be trimmed. \begin{enumerate} \item Digits in the \textbf{dp} array at and above the \textbf{used} location must be zero. \end{enumerate} -\item The value of \textbf{sign} must be \textbf{MP\_ZPOS} if \textbf{used} is zero; +\item The value of \textbf{sign} must be \textbf{MP\_ZPOS} if \textbf{used} is zero; this represents the mp\_int value of zero. \end{enumerate} \section{Argument Passing} -A convention of argument passing must be adopted early on in the development of any library. Making the function -prototypes consistent will help eliminate many headaches in the future as the library grows to significant complexity. -In LibTomMath the multiple precision integer functions accept parameters from left to right as pointers to mp\_int -structures. That means that the source (input) operands are placed on the left and the destination (output) on the right. +A convention of argument passing must be adopted early on in the development of any library. Making the function +prototypes consistent will help eliminate many headaches in the future as the library grows to significant complexity. +In LibTomMath the multiple precision integer functions accept parameters from left to right as pointers to mp\_int +structures. That means that the source (input) operands are placed on the left and the destination (output) on the right. Consider the following examples. \begin{verbatim} @@ -659,25 +648,25 @@ The left to right order is a fairly natural way to implement the functions since functions and make sense of them. For example, the first function would read ``multiply a and b and store in c''. Certain libraries (\textit{LIP by Lenstra for instance}) accept parameters the other way around, to mimic the order -of assignment expressions. That is, the destination (output) is on the left and arguments (inputs) are on the right. In -truth, it is entirely a matter of preference. In the case of LibTomMath the convention from the MPI library has been -adopted. - -Another very useful design consideration, provided for in LibTomMath, is whether to allow argument sources to also be a -destination. For example, the second example (\textit{mp\_add}) adds $a$ to $b$ and stores in $a$. This is an important -feature to implement since it allows the calling functions to cut down on the number of variables it must maintain. -However, to implement this feature specific care has to be given to ensure the destination is not modified before the +of assignment expressions. That is, the destination (output) is on the left and arguments (inputs) are on the right. In +truth, it is entirely a matter of preference. In the case of LibTomMath the convention from the MPI library has been +adopted. + +Another very useful design consideration, provided for in LibTomMath, is whether to allow argument sources to also be a +destination. For example, the second example (\textit{mp\_add}) adds $a$ to $b$ and stores in $a$. This is an important +feature to implement since it allows the calling functions to cut down on the number of variables it must maintain. +However, to implement this feature specific care has to be given to ensure the destination is not modified before the source is fully read. \section{Return Values} -A well implemented application, no matter what its purpose, should trap as many runtime errors as possible and return them -to the caller. By catching runtime errors a library can be guaranteed to prevent undefined behaviour. However, the end +A well implemented application, no matter what its purpose, should trap as many runtime errors as possible and return them +to the caller. By catching runtime errors a library can be guaranteed to prevent undefined behaviour. However, the end developer can still manage to cause a library to crash. For example, by passing an invalid pointer an application may fault by dereferencing memory not owned by the application. -In the case of LibTomMath the only errors that are checked for are related to inappropriate inputs (division by zero for -instance) and memory allocation errors. It will not check that the mp\_int passed to any function is valid nor -will it check pointers for validity. Any function that can cause a runtime error will return an error code as an +In the case of LibTomMath the only errors that are checked for are related to inappropriate inputs (division by zero for +instance) and memory allocation errors. It will not check that the mp\_int passed to any function is valid nor +will it check pointers for validity. Any function that can cause a runtime error will return an error code as an \textbf{int} data type with one of the following values (fig \ref{fig:errcodes}). \index{MP\_OKAY} \index{MP\_VAL} \index{MP\_MEM} @@ -696,7 +685,7 @@ will it check pointers for validity. Any function that can cause a runtime erro \end{figure} When an error is detected within a function it should free any memory it allocated, often during the initialization of -temporary mp\_ints, and return as soon as possible. The goal is to leave the system in the same state it was when the +temporary mp\_ints, and return as soon as possible. The goal is to leave the system in the same state it was when the function was called. Error checking with this style of API is fairly simple. \begin{verbatim} @@ -707,19 +696,19 @@ function was called. Error checking with this style of API is fairly simple. } \end{verbatim} -The GMP \cite{GMP} library uses C style \textit{signals} to flag errors which is of questionable use. Not all errors are fatal +The GMP \cite{GMP} library uses C style \textit{signals} to flag errors which is of questionable use. Not all errors are fatal and it was not deemed ideal by the author of LibTomMath to force developers to have signal handlers for such cases. \section{Initialization and Clearing} -The logical starting point when actually writing multiple precision integer functions is the initialization and +The logical starting point when actually writing multiple precision integer functions is the initialization and clearing of the mp\_int structures. These two algorithms will be used by the majority of the higher level algorithms. Given the basic mp\_int structure an initialization routine must first allocate memory to hold the digits of the integer. Often it is optimal to allocate a sufficiently large pre-set number of digits even though the initial integer will represent zero. If only a single digit were allocated quite a few subsequent re-allocations would occur when operations are performed on the integers. There is a tradeoff between how many default digits to allocate -and how many re-allocations are tolerable. Obviously allocating an excessive amount of digits initially will waste -memory and become unmanageable. +and how many re-allocations are tolerable. Obviously allocating an excessive amount of digits initially will waste +memory and become unmanageable. If the memory for the digits has been successfully allocated then the rest of the members of the structure must be initialized. Since the initial state of an mp\_int is to represent the zero integer, the allocated digits must be set @@ -754,16 +743,16 @@ structure are set to valid values. The mp\_init algorithm will perform such an \textbf{Algorithm mp\_init.} The purpose of this function is to initialize an mp\_int structure so that the rest of the library can properly manipulte it. It is assumed that the input may not have had any of its members previously initialized which is certainly -a valid assumption if the input resides on the stack. +a valid assumption if the input resides on the stack. Before any of the members such as \textbf{sign}, \textbf{used} or \textbf{alloc} are initialized the memory for -the digits is allocated. If this fails the function returns before setting any of the other members. The \textbf{MP\_PREC} -name represents a constant\footnote{Defined in the ``tommath.h'' header file within LibTomMath.} +the digits is allocated. If this fails the function returns before setting any of the other members. The \textbf{MP\_PREC} +name represents a constant\footnote{Defined in the ``tommath.h'' header file within LibTomMath.} used to dictate the minimum precision of newly initialized mp\_int integers. Ideally, it is at least equal to the smallest precision number you'll be working with. Allocating a block of digits at first instead of a single digit has the benefit of lowering the number of usually slow -heap operations later functions will have to perform in the future. If \textbf{MP\_PREC} is set correctly the slack +heap operations later functions will have to perform in the future. If \textbf{MP\_PREC} is set correctly the slack memory and the number of heap operations will be trivial. Once the allocation has been made the digits have to be set to zero as well as the \textbf{used}, \textbf{sign} and @@ -775,14 +764,14 @@ This function introduces the idiosyncrasy that all iterative loops, commonly ini when the ``to'' keyword is placed between two expressions. For example, ``for $a$ from $b$ to $c$ do'' means that a subsequent expression (or body of expressions) are to be evaluated upto $c - b$ times so long as $b \le c$. In each iteration the variable $a$ is substituted for a new integer that lies inclusively between $b$ and $c$. If $b > c$ occured -the loop would not iterate. By contrast if the ``downto'' keyword were used in place of ``to'' the loop would iterate +the loop would not iterate. By contrast if the ``downto'' keyword were used in place of ``to'' the loop would iterate decrementally. EXAM,bn_mp_init.c -One immediate observation of this initializtion function is that it does not return a pointer to a mp\_int structure. It -is assumed that the caller has already allocated memory for the mp\_int structure, typically on the application stack. The -call to mp\_init() is used only to initialize the members of the structure to a known default state. +One immediate observation of this initializtion function is that it does not return a pointer to a mp\_int structure. It +is assumed that the caller has already allocated memory for the mp\_int structure, typically on the application stack. The +call to mp\_init() is used only to initialize the members of the structure to a known default state. Here we see (line @23,XMALLOC@) the memory allocation is performed first. This allows us to exit cleanly and quickly if there is an error. If the allocation fails the routine will return \textbf{MP\_MEM} to the caller to indicate there @@ -791,17 +780,17 @@ but a macro defined in ``tommath.h``. By default, XMALLOC will evaluate to mall memory allocation routine. In order to assure the mp\_int is in a known state the digits must be set to zero. On most platforms this could have been -accomplished by using calloc() instead of malloc(). However, to correctly initialize a integer type to a given value in a +accomplished by using calloc() instead of malloc(). However, to correctly initialize a integer type to a given value in a portable fashion you have to actually assign the value. The for loop (line @28,for@) performs this required operation. -After the memory has been successfully initialized the remainder of the members are initialized +After the memory has been successfully initialized the remainder of the members are initialized (lines @29,used@ through @31,sign@) to their respective default states. At this point the algorithm has succeeded and -a success code is returned to the calling function. If this function returns \textbf{MP\_OKAY} it is safe to assume the -mp\_int structure has been properly initialized and is safe to use with other functions within the library. +a success code is returned to the calling function. If this function returns \textbf{MP\_OKAY} it is safe to assume the +mp\_int structure has been properly initialized and is safe to use with other functions within the library. \subsection{Clearing an mp\_int} -When an mp\_int is no longer required by the application, the memory that has been allocated for its digits must be +When an mp\_int is no longer required by the application, the memory that has been allocated for its digits must be returned to the application's memory pool with the mp\_clear algorithm. \begin{figure}[here] @@ -826,12 +815,12 @@ returned to the application's memory pool with the mp\_clear algorithm. \end{figure} \textbf{Algorithm mp\_clear.} -This algorithm accomplishes two goals. First, it clears the digits and the other mp\_int members. This ensures that +This algorithm accomplishes two goals. First, it clears the digits and the other mp\_int members. This ensures that if a developer accidentally re-uses a cleared structure it is less likely to cause problems. The second goal is to free the allocated memory. The logic behind the algorithm is extended by marking cleared mp\_int structures so that subsequent calls to this -algorithm will not try to free the memory multiple times. Cleared mp\_ints are detectable by having a pre-defined invalid +algorithm will not try to free the memory multiple times. Cleared mp\_ints are detectable by having a pre-defined invalid digit pointer \textbf{dp} setting. Once an mp\_int has been cleared the mp\_int structure is no longer in a valid state for any other algorithm @@ -844,11 +833,11 @@ checks to see if the \textbf{dp} member is not \textbf{NULL}. If the mp\_int is \textbf{NULL} in which case the if statement will evaluate to true. The digits of the mp\_int are cleared by the for loop (line @25,for@) which assigns a zero to every digit. Similar to mp\_init() -the digits are assigned zero instead of using block memory operations (such as memset()) since this is more portable. +the digits are assigned zero instead of using block memory operations (such as memset()) since this is more portable. The digits are deallocated off the heap via the XFREE macro. Similar to XMALLOC the XFREE macro actually evaluates to a standard C library function. In this case the free() function. Since free() only deallocates the memory the pointer -still has to be reset to \textbf{NULL} manually (line @33,NULL@). +still has to be reset to \textbf{NULL} manually (line @33,NULL@). Now that the digits have been cleared and deallocated the other members are set to their final values (lines @34,= 0@ and @35,ZPOS@). @@ -856,16 +845,16 @@ Now that the digits have been cleared and deallocated the other members are set The previous sections describes how to initialize and clear an mp\_int structure. To further support operations that are to be performed on mp\_int structures (such as addition and multiplication) the dependent algorithms must be -able to augment the precision of an mp\_int and -initialize mp\_ints with differing initial conditions. +able to augment the precision of an mp\_int and +initialize mp\_ints with differing initial conditions. These algorithms complete the set of low level algorithms required to work with mp\_int structures in the higher level algorithms such as addition, multiplication and modular exponentiation. \subsection{Augmenting an mp\_int's Precision} -When storing a value in an mp\_int structure, a sufficient number of digits must be available to accomodate the entire -result of an operation without loss of precision. Quite often the size of the array given by the \textbf{alloc} member -is large enough to simply increase the \textbf{used} digit count. However, when the size of the array is too small it +When storing a value in an mp\_int structure, a sufficient number of digits must be available to accomodate the entire +result of an operation without loss of precision. Quite often the size of the array given by the \textbf{alloc} member +is large enough to simply increase the \textbf{used} digit count. However, when the size of the array is too small it must be re-sized appropriately to accomodate the result. The mp\_grow algorithm will provide this functionality. \newpage\begin{figure}[here] @@ -891,14 +880,14 @@ must be re-sized appropriately to accomodate the result. The mp\_grow algorithm \end{figure} \textbf{Algorithm mp\_grow.} -It is ideal to prevent re-allocations from being performed if they are not required (step one). This is useful to -prevent mp\_ints from growing excessively in code that erroneously calls mp\_grow. +It is ideal to prevent re-allocations from being performed if they are not required (step one). This is useful to +prevent mp\_ints from growing excessively in code that erroneously calls mp\_grow. -The requested digit count is padded up to next multiple of \textbf{MP\_PREC} plus an additional \textbf{MP\_PREC} (steps two and three). -This helps prevent many trivial reallocations that would grow an mp\_int by trivially small values. +The requested digit count is padded up to next multiple of \textbf{MP\_PREC} plus an additional \textbf{MP\_PREC} (steps two and three). +This helps prevent many trivial reallocations that would grow an mp\_int by trivially small values. -It is assumed that the reallocation (step four) leaves the lower $a.alloc$ digits of the mp\_int intact. This is much -akin to how the \textit{realloc} function from the standard C library works. Since the newly allocated digits are +It is assumed that the reallocation (step four) leaves the lower $a.alloc$ digits of the mp\_int intact. This is much +akin to how the \textit{realloc} function from the standard C library works. Since the newly allocated digits are assumed to contain undefined values they are initially set to zero. EXAM,bn_mp_grow.c @@ -915,12 +904,12 @@ the re-allocation. All that is left is to clear the newly allocated digits and Note that the re-allocation result is actually stored in a temporary pointer $tmp$. This is to allow this function to return an error with a valid pointer. Earlier releases of the library stored the result of XREALLOC into the mp\_int $a$. That would -result in a memory leak if XREALLOC ever failed. +result in a memory leak if XREALLOC ever failed. \subsection{Initializing Variable Precision mp\_ints} -Occasionally the number of digits required will be known in advance of an initialization, based on, for example, the size -of input mp\_ints to a given algorithm. The purpose of algorithm mp\_init\_size is similar to mp\_init except that it -will allocate \textit{at least} a specified number of digits. +Occasionally the number of digits required will be known in advance of an initialization, based on, for example, the size +of input mp\_ints to a given algorithm. The purpose of algorithm mp\_init\_size is similar to mp\_init except that it +will allocate \textit{at least} a specified number of digits. \begin{figure}[here] \begin{small} @@ -947,30 +936,30 @@ will allocate \textit{at least} a specified number of digits. \end{figure} \textbf{Algorithm mp\_init\_size.} -This algorithm will initialize an mp\_int structure $a$ like algorithm mp\_init with the exception that the number of -digits allocated can be controlled by the second input argument $b$. The input size is padded upwards so it is a -multiple of \textbf{MP\_PREC} plus an additional \textbf{MP\_PREC} digits. This padding is used to prevent trivial +This algorithm will initialize an mp\_int structure $a$ like algorithm mp\_init with the exception that the number of +digits allocated can be controlled by the second input argument $b$. The input size is padded upwards so it is a +multiple of \textbf{MP\_PREC} plus an additional \textbf{MP\_PREC} digits. This padding is used to prevent trivial allocations from becoming a bottleneck in the rest of the algorithms. -Like algorithm mp\_init, the mp\_int structure is initialized to a default state representing the integer zero. This +Like algorithm mp\_init, the mp\_int structure is initialized to a default state representing the integer zero. This particular algorithm is useful if it is known ahead of time the approximate size of the input. If the approximation is correct no further memory re-allocations are required to work with the mp\_int. EXAM,bn_mp_init_size.c -The number of digits $b$ requested is padded (line @22,MP_PREC@) by first augmenting it to the next multiple of -\textbf{MP\_PREC} and then adding \textbf{MP\_PREC} to the result. If the memory can be successfully allocated the -mp\_int is placed in a default state representing the integer zero. Otherwise, the error code \textbf{MP\_MEM} will be -returned (line @27,return@). +The number of digits $b$ requested is padded (line @22,MP_PREC@) by first augmenting it to the next multiple of +\textbf{MP\_PREC} and then adding \textbf{MP\_PREC} to the result. If the memory can be successfully allocated the +mp\_int is placed in a default state representing the integer zero. Otherwise, the error code \textbf{MP\_MEM} will be +returned (line @27,return@). -The digits are allocated and set to zero at the same time with the calloc() function (line @25,XCALLOC@). The -\textbf{used} count is set to zero, the \textbf{alloc} count set to the padded digit count and the \textbf{sign} flag set -to \textbf{MP\_ZPOS} to achieve a default valid mp\_int state (lines @29,used@, @30,alloc@ and @31,sign@). If the function -returns succesfully then it is correct to assume that the mp\_int structure is in a valid state for the remainder of the +The digits are allocated with the malloc() function (line @27,XMALLOC@) and set to zero afterwards (line @38,for@). The +\textbf{used} count is set to zero, the \textbf{alloc} count set to the padded digit count and the \textbf{sign} flag set +to \textbf{MP\_ZPOS} to achieve a default valid mp\_int state (lines @29,used@, @30,alloc@ and @31,sign@). If the function +returns succesfully then it is correct to assume that the mp\_int structure is in a valid state for the remainder of the functions to work with. \subsection{Multiple Integer Initializations and Clearings} -Occasionally a function will require a series of mp\_int data types to be made available simultaneously. +Occasionally a function will require a series of mp\_int data types to be made available simultaneously. The purpose of algorithm mp\_init\_multi is to initialize a variable length array of mp\_int structures in a single statement. It is essentially a shortcut to multiple initializations. @@ -995,42 +984,42 @@ statement. It is essentially a shortcut to multiple initializations. \end{figure} \textbf{Algorithm mp\_init\_multi.} -The algorithm will initialize the array of mp\_int variables one at a time. If a runtime error has been detected -(\textit{step 1.2}) all of the previously initialized variables are cleared. The goal is an ``all or nothing'' +The algorithm will initialize the array of mp\_int variables one at a time. If a runtime error has been detected +(\textit{step 1.2}) all of the previously initialized variables are cleared. The goal is an ``all or nothing'' initialization which allows for quick recovery from runtime errors. EXAM,bn_mp_init_multi.c This function intializes a variable length list of mp\_int structure pointers. However, instead of having the mp\_int -structures in an actual C array they are simply passed as arguments to the function. This function makes use of the -``...'' argument syntax of the C programming language. The list is terminated with a final \textbf{NULL} argument -appended on the right. +structures in an actual C array they are simply passed as arguments to the function. This function makes use of the +``...'' argument syntax of the C programming language. The list is terminated with a final \textbf{NULL} argument +appended on the right. The function uses the ``stdarg.h'' \textit{va} functions to step portably through the arguments to the function. A count $n$ of succesfully initialized mp\_int structures is maintained (line @47,n++@) such that if a failure does occur, -the algorithm can backtrack and free the previously initialized structures (lines @27,if@ to @46,}@). +the algorithm can backtrack and free the previously initialized structures (lines @27,if@ to @46,}@). \subsection{Clamping Excess Digits} -When a function anticipates a result will be $n$ digits it is simpler to assume this is true within the body of -the function instead of checking during the computation. For example, a multiplication of a $i$ digit number by a -$j$ digit produces a result of at most $i + j$ digits. It is entirely possible that the result is $i + j - 1$ -though, with no final carry into the last position. However, suppose the destination had to be first expanded -(\textit{via mp\_grow}) to accomodate $i + j - 1$ digits than further expanded to accomodate the final carry. +When a function anticipates a result will be $n$ digits it is simpler to assume this is true within the body of +the function instead of checking during the computation. For example, a multiplication of a $i$ digit number by a +$j$ digit produces a result of at most $i + j$ digits. It is entirely possible that the result is $i + j - 1$ +though, with no final carry into the last position. However, suppose the destination had to be first expanded +(\textit{via mp\_grow}) to accomodate $i + j - 1$ digits than further expanded to accomodate the final carry. That would be a considerable waste of time since heap operations are relatively slow. The ideal solution is to always assume the result is $i + j$ and fix up the \textbf{used} count after the function terminates. This way a single heap operation (\textit{at most}) is required. However, if the result was not checked -there would be an excess high order zero digit. +there would be an excess high order zero digit. -For example, suppose the product of two integers was $x_n = (0x_{n-1}x_{n-2}...x_0)_{\beta}$. The leading zero digit +For example, suppose the product of two integers was $x_n = (0x_{n-1}x_{n-2}...x_0)_{\beta}$. The leading zero digit will not contribute to the precision of the result. In fact, through subsequent operations more leading zero digits would -accumulate to the point the size of the integer would be prohibitive. As a result even though the precision is very -low the representation is excessively large. +accumulate to the point the size of the integer would be prohibitive. As a result even though the precision is very +low the representation is excessively large. -The mp\_clamp algorithm is designed to solve this very problem. It will trim high-order zeros by decrementing the -\textbf{used} count until a non-zero most significant digit is found. Also in this system, zero is considered to be a -positive number which means that if the \textbf{used} count is decremented to zero, the sign must be set to +The mp\_clamp algorithm is designed to solve this very problem. It will trim high-order zeros by decrementing the +\textbf{used} count until a non-zero most significant digit is found. Also in this system, zero is considered to be a +positive number which means that if the \textbf{used} count is decremented to zero, the sign must be set to \textbf{MP\_ZPOS}. \begin{figure}[here] @@ -1052,16 +1041,16 @@ positive number which means that if the \textbf{used} count is decremented to ze \textbf{Algorithm mp\_clamp.} As can be expected this algorithm is very simple. The loop on step one is expected to iterate only once or twice at -the most. For example, this will happen in cases where there is not a carry to fill the last position. Step two fixes the sign for +the most. For example, this will happen in cases where there is not a carry to fill the last position. Step two fixes the sign for when all of the digits are zero to ensure that the mp\_int is valid at all times. EXAM,bn_mp_clamp.c Note on line @27,while@ how to test for the \textbf{used} count is made on the left of the \&\& operator. In the C programming -language the terms to \&\& are evaluated left to right with a boolean short-circuit if any condition fails. This is -important since if the \textbf{used} is zero the test on the right would fetch below the array. That is obviously +language the terms to \&\& are evaluated left to right with a boolean short-circuit if any condition fails. This is +important since if the \textbf{used} is zero the test on the right would fetch below the array. That is obviously undesirable. The parenthesis on line @28,a->used@ is used to make sure the \textbf{used} count is decremented and not -the pointer ``a''. +the pointer ``a''. \section*{Exercises} \begin{tabular}{cl} @@ -1087,19 +1076,19 @@ $\left [ 1 \right ]$ & Give an example of when the algorithm mp\_init\_copy mig \section{Introduction} In the previous chapter a series of low level algorithms were established that dealt with initializing and maintaining -mp\_int structures. This chapter will discuss another set of seemingly non-algebraic algorithms which will form the low +mp\_int structures. This chapter will discuss another set of seemingly non-algebraic algorithms which will form the low level basis of the entire library. While these algorithm are relatively trivial it is important to understand how they work before proceeding since these algorithms will be used almost intrinsically in the following chapters. The algorithms in this chapter deal primarily with more ``programmer'' related tasks such as creating copies of mp\_int structures, assigning small values to mp\_int structures and comparisons of the values mp\_int structures -represent. +represent. \section{Assigning Values to mp\_int Structures} \subsection{Copying an mp\_int} Assigning the value that a given mp\_int structure represents to another mp\_int structure shall be known as making a copy for the purposes of this text. The copy of the mp\_int will be a separate entity that represents the same -value as the mp\_int it was copied from. The mp\_copy algorithm provides this functionality. +value as the mp\_int it was copied from. The mp\_copy algorithm provides this functionality. \newpage\begin{figure}[here] \begin{center} @@ -1124,40 +1113,40 @@ value as the mp\_int it was copied from. The mp\_copy algorithm provides this f \textbf{Algorithm mp\_copy.} This algorithm copies the mp\_int $a$ such that upon succesful termination of the algorithm the mp\_int $b$ will -represent the same integer as the mp\_int $a$. The mp\_int $b$ shall be a complete and distinct copy of the +represent the same integer as the mp\_int $a$. The mp\_int $b$ shall be a complete and distinct copy of the mp\_int $a$ meaing that the mp\_int $a$ can be modified and it shall not affect the value of the mp\_int $b$. -If $b$ does not have enough room for the digits of $a$ it must first have its precision augmented via the mp\_grow +If $b$ does not have enough room for the digits of $a$ it must first have its precision augmented via the mp\_grow algorithm. The digits of $a$ are copied over the digits of $b$ and any excess digits of $b$ are set to zero (step two and three). The \textbf{used} and \textbf{sign} members of $a$ are finally copied over the respective members of $b$. \textbf{Remark.} This algorithm also introduces a new idiosyncrasy that will be used throughout the rest of the -text. The error return codes of other algorithms are not explicitly checked in the pseudo-code presented. For example, in -step one of the mp\_copy algorithm the return of mp\_grow is not explicitly checked to ensure it succeeded. Text space is +text. The error return codes of other algorithms are not explicitly checked in the pseudo-code presented. For example, in +step one of the mp\_copy algorithm the return of mp\_grow is not explicitly checked to ensure it succeeded. Text space is limited so it is assumed that if a algorithm fails it will clear all temporarily allocated mp\_ints and return -the error code itself. However, the C code presented will demonstrate all of the error handling logic required to +the error code itself. However, the C code presented will demonstrate all of the error handling logic required to implement the pseudo-code. EXAM,bn_mp_copy.c Occasionally a dependent algorithm may copy an mp\_int effectively into itself such as when the input and output -mp\_int structures passed to a function are one and the same. For this case it is optimal to return immediately without -copying digits (line @24,a == b@). +mp\_int structures passed to a function are one and the same. For this case it is optimal to return immediately without +copying digits (line @24,a == b@). The mp\_int $b$ must have enough digits to accomodate the used digits of the mp\_int $a$. If $b.alloc$ is less than $a.used$ the algorithm mp\_grow is used to augment the precision of $b$ (lines @29,alloc@ to @33,}@). In order to simplify the inner loop that copies the digits from $a$ to $b$, two aliases $tmpa$ and $tmpb$ point directly at the digits of the mp\_ints $a$ and $b$ respectively. These aliases (lines @42,tmpa@ and @45,tmpb@) allow the compiler to access the digits without first dereferencing the -mp\_int pointers and then subsequently the pointer to the digits. +mp\_int pointers and then subsequently the pointer to the digits. -After the aliases are established the digits from $a$ are copied into $b$ (lines @48,for@ to @50,}@) and then the excess -digits of $b$ are set to zero (lines @53,for@ to @55,}@). Both ``for'' loops make use of the pointer aliases and in -fact the alias for $b$ is carried through into the second ``for'' loop to clear the excess digits. This optimization +After the aliases are established the digits from $a$ are copied into $b$ (lines @48,for@ to @50,}@) and then the excess +digits of $b$ are set to zero (lines @53,for@ to @55,}@). Both ``for'' loops make use of the pointer aliases and in +fact the alias for $b$ is carried through into the second ``for'' loop to clear the excess digits. This optimization allows the alias to stay in a machine register fairly easy between the two loops. \textbf{Remarks.} The use of pointer aliases is an implementation methodology first introduced in this function that will -be used considerably in other functions. Technically, a pointer alias is simply a short hand alias used to lower the +be used considerably in other functions. Technically, a pointer alias is simply a short hand alias used to lower the number of pointer dereferencing operations required to access data. For example, a for loop may resemble \begin{alltt} @@ -1166,7 +1155,7 @@ for (x = 0; x < 100; x++) \{ \} \end{alltt} -This could be re-written using aliases as +This could be re-written using aliases as \begin{alltt} mp_digit *tmpa; @@ -1176,17 +1165,17 @@ for (x = 0; x < 100; x++) \{ \} \end{alltt} -In this case an alias is used to access the -array of digits within an mp\_int structure directly. It may seem that a pointer alias is strictly not required +In this case an alias is used to access the +array of digits within an mp\_int structure directly. It may seem that a pointer alias is strictly not required as a compiler may optimize out the redundant pointer operations. However, there are two dominant reasons to use aliases. -The first reason is that most compilers will not effectively optimize pointer arithmetic. For example, some optimizations -may work for the Microsoft Visual C++ compiler (MSVC) and not for the GNU C Compiler (GCC). Also some optimizations may -work for GCC and not MSVC. As such it is ideal to find a common ground for as many compilers as possible. Pointer -aliases optimize the code considerably before the compiler even reads the source code which means the end compiled code +The first reason is that most compilers will not effectively optimize pointer arithmetic. For example, some optimizations +may work for the Microsoft Visual C++ compiler (MSVC) and not for the GNU C Compiler (GCC). Also some optimizations may +work for GCC and not MSVC. As such it is ideal to find a common ground for as many compilers as possible. Pointer +aliases optimize the code considerably before the compiler even reads the source code which means the end compiled code stands a better chance of being faster. -The second reason is that pointer aliases often can make an algorithm simpler to read. Consider the first ``for'' +The second reason is that pointer aliases often can make an algorithm simpler to read. Consider the first ``for'' loop of the function mp\_copy() re-written to not use pointer aliases. \begin{alltt} @@ -1196,13 +1185,13 @@ loop of the function mp\_copy() re-written to not use pointer aliases. \} \end{alltt} -Whether this code is harder to read depends strongly on the individual. However, it is quantifiably slightly more +Whether this code is harder to read depends strongly on the individual. However, it is quantifiably slightly more complicated as there are four variables within the statement instead of just two. \subsubsection{Nested Statements} Another commonly used technique in the source routines is that certain sections of code are nested. This is used in particular with the pointer aliases to highlight code phases. For example, a Comba multiplier (discussed in chapter six) -will typically have three different phases. First the temporaries are initialized, then the columns calculated and +will typically have three different phases. First the temporaries are initialized, then the columns calculated and finally the carries are propagated. In this example the middle column production phase will typically be nested as it uses temporary variables and aliases the most. @@ -1211,9 +1200,9 @@ the various temporary variables required do not propagate into other sections of \subsection{Creating a Clone} -Another common operation is to make a local temporary copy of an mp\_int argument. To initialize an mp\_int -and then copy another existing mp\_int into the newly intialized mp\_int will be known as creating a clone. This is -useful within functions that need to modify an argument but do not wish to actually modify the original copy. The +Another common operation is to make a local temporary copy of an mp\_int argument. To initialize an mp\_int +and then copy another existing mp\_int into the newly intialized mp\_int will be known as creating a clone. This is +useful within functions that need to modify an argument but do not wish to actually modify the original copy. The mp\_init\_copy algorithm has been designed to help perform this task. \begin{figure}[here] @@ -1233,14 +1222,14 @@ mp\_init\_copy algorithm has been designed to help perform this task. \end{figure} \textbf{Algorithm mp\_init\_copy.} -This algorithm will initialize an mp\_int variable and copy another previously initialized mp\_int variable into it. As -such this algorithm will perform two operations in one step. +This algorithm will initialize an mp\_int variable and copy another previously initialized mp\_int variable into it. As +such this algorithm will perform two operations in one step. EXAM,bn_mp_init_copy.c -This will initialize \textbf{a} and make it a verbatim copy of the contents of \textbf{b}. Note that +This will initialize \textbf{a} and make it a verbatim copy of the contents of \textbf{b}. Note that \textbf{a} will have its own memory allocated which means that \textbf{b} may be cleared after the call -and \textbf{a} will be left intact. +and \textbf{a} will be left intact. \section{Zeroing an Integer} Reseting an mp\_int to the default state is a common step in many algorithms. The mp\_zero algorithm will be the algorithm used to @@ -1264,11 +1253,11 @@ perform this task. \end{figure} \textbf{Algorithm mp\_zero.} -This algorithm simply resets a mp\_int to the default state. +This algorithm simply resets a mp\_int to the default state. EXAM,bn_mp_zero.c -After the function is completed, all of the digits are zeroed, the \textbf{used} count is zeroed and the +After the function is completed, all of the digits are zeroed, the \textbf{used} count is zeroed and the \textbf{sign} variable is set to \textbf{MP\_ZPOS}. \section{Sign Manipulation} @@ -1296,7 +1285,7 @@ the absolute value of an mp\_int. \textbf{Algorithm mp\_abs.} This algorithm computes the absolute of an mp\_int input. First it copies $a$ over $b$. This is an example of an algorithm where the check in mp\_copy that determines if the source and destination are equal proves useful. This allows, -for instance, the developer to pass the same mp\_int as the source and destination to this function without addition +for instance, the developer to pass the same mp\_int as the source and destination to this function without addition logic to handle it. EXAM,bn_mp_abs.c @@ -1331,7 +1320,7 @@ the negative of an mp\_int input. \textbf{Algorithm mp\_neg.} This algorithm computes the negation of an input. First it copies $a$ over $b$. If $a$ has no used digits then -the algorithm returns immediately. Otherwise it flips the sign flag and stores the result in $b$. Note that if +the algorithm returns immediately. Otherwise it flips the sign flag and stores the result in $b$. Note that if $a$ had no digits then it must be positive by definition. Had step three been omitted then the algorithm would return zero as negative. @@ -1356,9 +1345,9 @@ Often a mp\_int must be set to a relatively small value such as $1$ or $2$. For 2. $a_0 \leftarrow b \mbox{ (mod }\beta\mbox{)}$ \\ 3. $a.used \leftarrow \left \lbrace \begin{array}{ll} 1 & \mbox{if }a_0 > 0 \\ - 0 & \mbox{if }a_0 = 0 + 0 & \mbox{if }a_0 = 0 \end{array} \right .$ \\ -\hline +\hline \end{tabular} \end{center} \caption{Algorithm mp\_set} @@ -1370,16 +1359,16 @@ single digit is set (\textit{modulo $\beta$}) and the \textbf{used} count is adj EXAM,bn_mp_set.c -First we zero (line @21,mp_zero@) the mp\_int to make sure that the other members are initialized for a +First we zero (line @21,mp_zero@) the mp\_int to make sure that the other members are initialized for a small positive constant. mp\_zero() ensures that the \textbf{sign} is positive and the \textbf{used} count -is zero. Next we set the digit and reduce it modulo $\beta$ (line @22,MP_MASK@). After this step we have to +is zero. Next we set the digit and reduce it modulo $\beta$ (line @22,MP_MASK@). After this step we have to check if the resulting digit is zero or not. If it is not then we set the \textbf{used} count to one, otherwise to zero. -We can quickly reduce modulo $\beta$ since it is of the form $2^k$ and a quick binary AND operation with +We can quickly reduce modulo $\beta$ since it is of the form $2^k$ and a quick binary AND operation with $2^k - 1$ will perform the same operation. -One important limitation of this function is that it will only set one digit. The size of a digit is not fixed, meaning source that uses +One important limitation of this function is that it will only set one digit. The size of a digit is not fixed, meaning source that uses this function should take that into account. Only trivially small constants can be set using this function. \subsection{Setting Large Constants} @@ -1407,9 +1396,9 @@ data type as input and will always treat it as a 32-bit integer. \end{figure} \textbf{Algorithm mp\_set\_int.} -The algorithm performs eight iterations of a simple loop where in each iteration four bits from the source are added to the +The algorithm performs eight iterations of a simple loop where in each iteration four bits from the source are added to the mp\_int. Step 2.1 will multiply the current result by sixteen making room for four more bits in the less significant positions. In step 2.2 the -next four bits from the source are extracted and are added to the mp\_int. The \textbf{used} digit count is +next four bits from the source are extracted and are added to the mp\_int. The \textbf{used} digit count is incremented to reflect the addition. The \textbf{used} digit counter is incremented since if any of the leading digits were zero the mp\_int would have zero digits used and the newly added four bits would be ignored. @@ -1418,23 +1407,23 @@ Excess zero digits are trimmed in steps 2.1 and 3 by using higher level algorith EXAM,bn_mp_set_int.c This function sets four bits of the number at a time to handle all practical \textbf{DIGIT\_BIT} sizes. The weird -addition on line @38,a->used@ ensures that the newly added in bits are added to the number of digits. While it may not -seem obvious as to why the digit counter does not grow exceedingly large it is because of the shift on line @27,mp_mul_2d@ -as well as the call to mp\_clamp() on line @40,mp_clamp@. Both functions will clamp excess leading digits which keeps +addition on line @38,a->used@ ensures that the newly added in bits are added to the number of digits. While it may not +seem obvious as to why the digit counter does not grow exceedingly large it is because of the shift on line @27,mp_mul_2d@ +as well as the call to mp\_clamp() on line @40,mp_clamp@. Both functions will clamp excess leading digits which keeps the number of used digits low. \section{Comparisons} \subsection{Unsigned Comparisions} Comparing a multiple precision integer is performed with the exact same algorithm used to compare two decimal numbers. For example, to compare $1,234$ to $1,264$ the digits are extracted by their positions. That is we compare $1 \cdot 10^3 + 2 \cdot 10^2 + 3 \cdot 10^1 + 4 \cdot 10^0$ -to $1 \cdot 10^3 + 2 \cdot 10^2 + 6 \cdot 10^1 + 4 \cdot 10^0$ by comparing single digits at a time starting with the highest magnitude -positions. If any leading digit of one integer is greater than a digit in the same position of another integer then obviously it must be greater. +to $1 \cdot 10^3 + 2 \cdot 10^2 + 6 \cdot 10^1 + 4 \cdot 10^0$ by comparing single digits at a time starting with the highest magnitude +positions. If any leading digit of one integer is greater than a digit in the same position of another integer then obviously it must be greater. The first comparision routine that will be developed is the unsigned magnitude compare which will perform a comparison based on the digits of two -mp\_int variables alone. It will ignore the sign of the two inputs. Such a function is useful when an absolute comparison is required or if the +mp\_int variables alone. It will ignore the sign of the two inputs. Such a function is useful when an absolute comparison is required or if the signs are known to agree in advance. -To facilitate working with the results of the comparison functions three constants are required. +To facilitate working with the results of the comparison functions three constants are required. \begin{figure}[here] \begin{center} @@ -1470,24 +1459,24 @@ To facilitate working with the results of the comparison functions three constan \textbf{Algorithm mp\_cmp\_mag.} By saying ``$a$ to the left of $b$'' it is meant that the comparison is with respect to $a$, that is if $a$ is greater than $b$ it will return -\textbf{MP\_GT} and similar with respect to when $a = b$ and $a < b$. The first two steps compare the number of digits used in both $a$ and $b$. -Obviously if the digit counts differ there would be an imaginary zero digit in the smaller number where the leading digit of the larger number is. -If both have the same number of digits than the actual digits themselves must be compared starting at the leading digit. +\textbf{MP\_GT} and similar with respect to when $a = b$ and $a < b$. The first two steps compare the number of digits used in both $a$ and $b$. +Obviously if the digit counts differ there would be an imaginary zero digit in the smaller number where the leading digit of the larger number is. +If both have the same number of digits than the actual digits themselves must be compared starting at the leading digit. By step three both inputs must have the same number of digits so its safe to start from either $a.used - 1$ or $b.used - 1$ and count down to the zero'th digit. If after all of the digits have been compared, no difference is found, the algorithm returns \textbf{MP\_EQ}. EXAM,bn_mp_cmp_mag.c -The two if statements (lines @24,if@ and @28,if@) compare the number of digits in the two inputs. These two are -performed before all of the digits are compared since it is a very cheap test to perform and can potentially save -considerable time. The implementation given is also not valid without those two statements. $b.alloc$ may be +The two if statements (lines @24,if@ and @28,if@) compare the number of digits in the two inputs. These two are +performed before all of the digits are compared since it is a very cheap test to perform and can potentially save +considerable time. The implementation given is also not valid without those two statements. $b.alloc$ may be smaller than $a.used$, meaning that undefined values will be read from $b$ past the end of the array of digits. \subsection{Signed Comparisons} -Comparing with sign considerations is also fairly critical in several routines (\textit{division for example}). Based on an unsigned magnitude +Comparing with sign considerations is also fairly critical in several routines (\textit{division for example}). Based on an unsigned magnitude comparison a trivial signed comparison algorithm can be written. \begin{figure}[here] @@ -1510,16 +1499,16 @@ comparison a trivial signed comparison algorithm can be written. \end{figure} \textbf{Algorithm mp\_cmp.} -The first two steps compare the signs of the two inputs. If the signs do not agree then it can return right away with the appropriate -comparison code. When the signs are equal the digits of the inputs must be compared to determine the correct result. In step -three the unsigned comparision flips the order of the arguments since they are both negative. For instance, if $-a > -b$ then +The first two steps compare the signs of the two inputs. If the signs do not agree then it can return right away with the appropriate +comparison code. When the signs are equal the digits of the inputs must be compared to determine the correct result. In step +three the unsigned comparision flips the order of the arguments since they are both negative. For instance, if $-a > -b$ then $\vert a \vert < \vert b \vert$. Step number four will compare the two when they are both positive. EXAM,bn_mp_cmp.c The two if statements (lines @22,if@ and @26,if@) perform the initial sign comparison. If the signs are not the equal then which ever -has the positive sign is larger. The inputs are compared (line @30,if@) based on magnitudes. If the signs were both -negative then the unsigned comparison is performed in the opposite direction (line @31,mp_cmp_mag@). Otherwise, the signs are assumed to +has the positive sign is larger. The inputs are compared (line @30,if@) based on magnitudes. If the signs were both +negative then the unsigned comparison is performed in the opposite direction (line @31,mp_cmp_mag@). Otherwise, the signs are assumed to be both positive and a forward direction unsigned comparison is performed. \section*{Exercises} @@ -1536,38 +1525,38 @@ $\left [ 1 \right ]$ & Suggest a simple method to speed up the implementation of \chapter{Basic Arithmetic} \section{Introduction} -At this point algorithms for initialization, clearing, zeroing, copying, comparing and setting small constants have been -established. The next logical set of algorithms to develop are addition, subtraction and digit shifting algorithms. These -algorithms make use of the lower level algorithms and are the cruicial building block for the multiplication algorithms. It is very important -that these algorithms are highly optimized. On their own they are simple $O(n)$ algorithms but they can be called from higher level algorithms -which easily places them at $O(n^2)$ or even $O(n^3)$ work levels. +At this point algorithms for initialization, clearing, zeroing, copying, comparing and setting small constants have been +established. The next logical set of algorithms to develop are addition, subtraction and digit shifting algorithms. These +algorithms make use of the lower level algorithms and are the cruicial building block for the multiplication algorithms. It is very important +that these algorithms are highly optimized. On their own they are simple $O(n)$ algorithms but they can be called from higher level algorithms +which easily places them at $O(n^2)$ or even $O(n^3)$ work levels. MARK,SHIFTS -All of the algorithms within this chapter make use of the logical bit shift operations denoted by $<<$ and $>>$ for left and right -logical shifts respectively. A logical shift is analogous to sliding the decimal point of radix-10 representations. For example, the real -number $0.9345$ is equivalent to $93.45\%$ which is found by sliding the the decimal two places to the right (\textit{multiplying by $\beta^2 = 10^2$}). -Algebraically a binary logical shift is equivalent to a division or multiplication by a power of two. +All of the algorithms within this chapter make use of the logical bit shift operations denoted by $<<$ and $>>$ for left and right +logical shifts respectively. A logical shift is analogous to sliding the decimal point of radix-10 representations. For example, the real +number $0.9345$ is equivalent to $93.45\%$ which is found by sliding the the decimal two places to the right (\textit{multiplying by $\beta^2 = 10^2$}). +Algebraically a binary logical shift is equivalent to a division or multiplication by a power of two. For example, $a << k = a \cdot 2^k$ while $a >> k = \lfloor a/2^k \rfloor$. One significant difference between a logical shift and the way decimals are shifted is that digits below the zero'th position are removed -from the number. For example, consider $1101_2 >> 1$ using decimal notation this would produce $110.1_2$. However, with a logical shift the -result is $110_2$. +from the number. For example, consider $1101_2 >> 1$ using decimal notation this would produce $110.1_2$. However, with a logical shift the +result is $110_2$. \section{Addition and Subtraction} In common twos complement fixed precision arithmetic negative numbers are easily represented by subtraction from the modulus. For example, with 32-bit integers -$a - b\mbox{ (mod }2^{32}\mbox{)}$ is the same as $a + (2^{32} - b) \mbox{ (mod }2^{32}\mbox{)}$ since $2^{32} \equiv 0 \mbox{ (mod }2^{32}\mbox{)}$. +$a - b\mbox{ (mod }2^{32}\mbox{)}$ is the same as $a + (2^{32} - b) \mbox{ (mod }2^{32}\mbox{)}$ since $2^{32} \equiv 0 \mbox{ (mod }2^{32}\mbox{)}$. As a result subtraction can be performed with a trivial series of logical operations and an addition. However, in multiple precision arithmetic negative numbers are not represented in the same way. Instead a sign flag is used to keep track of the -sign of the integer. As a result signed addition and subtraction are actually implemented as conditional usage of lower level addition or +sign of the integer. As a result signed addition and subtraction are actually implemented as conditional usage of lower level addition or subtraction algorithms with the sign fixed up appropriately. The lower level algorithms will add or subtract integers without regard to the sign flag. That is they will add or subtract the magnitude of the integers respectively. \subsection{Low Level Addition} -An unsigned addition of multiple precision integers is performed with the same long-hand algorithm used to add decimal numbers. That is to add the -trailing digits first and propagate the resulting carry upwards. Since this is a lower level algorithm the name will have a ``s\_'' prefix. +An unsigned addition of multiple precision integers is performed with the same long-hand algorithm used to add decimal numbers. That is to add the +trailing digits first and propagate the resulting carry upwards. Since this is a lower level algorithm the name will have a ``s\_'' prefix. Historically that convention stems from the MPI library where ``s\_'' stood for static functions that were hidden from the developer entirely. \newpage @@ -1614,18 +1603,18 @@ Historically that convention stems from the MPI library where ``s\_'' stood for \end{figure} \textbf{Algorithm s\_mp\_add.} -This algorithm is loosely based on algorithm 14.7 of HAC \cite[pp. 594]{HAC} but has been extended to allow the inputs to have different magnitudes. -Coincidentally the description of algorithm A in Knuth \cite[pp. 266]{TAOCPV2} shares the same deficiency as the algorithm from \cite{HAC}. Even the +This algorithm is loosely based on algorithm 14.7 of HAC \cite[pp. 594]{HAC} but has been extended to allow the inputs to have different magnitudes. +Coincidentally the description of algorithm A in Knuth \cite[pp. 266]{TAOCPV2} shares the same deficiency as the algorithm from \cite{HAC}. Even the MIX pseudo machine code presented by Knuth \cite[pp. 266-267]{TAOCPV2} is incapable of handling inputs which are of different magnitudes. The first thing that has to be accomplished is to sort out which of the two inputs is the largest. The addition logic will simply add all of the smallest input to the largest input and store that first part of the result in the destination. Then it will apply a simpler addition loop to excess digits of the larger input. -The first two steps will handle sorting the inputs such that $min$ and $max$ hold the digit counts of the two +The first two steps will handle sorting the inputs such that $min$ and $max$ hold the digit counts of the two inputs. The variable $x$ will be an mp\_int alias for the largest input or the second input $b$ if they have the -same number of digits. After the inputs are sorted the destination $c$ is grown as required to accomodate the sum -of the two inputs. The original \textbf{used} count of $c$ is copied and set to the new used count. +same number of digits. After the inputs are sorted the destination $c$ is grown as required to accomodate the sum +of the two inputs. The original \textbf{used} count of $c$ is copied and set to the new used count. At this point the first addition loop will go through as many digit positions that both inputs have. The carry variable $\mu$ is set to zero outside the loop. Inside the loop an ``addition'' step requires three statements to produce @@ -1644,32 +1633,32 @@ EXAM,bn_s_mp_add.c We first sort (lines @27,if@ to @35,}@) the inputs based on magnitude and determine the $min$ and $max$ variables. Note that $x$ is a pointer to an mp\_int assigned to the largest input, in effect it is a local alias. Next we -grow the destination (@37,init@ to @42,}@) ensure that it can accomodate the result of the addition. +grow the destination (@37,init@ to @42,}@) ensure that it can accomodate the result of the addition. -Similar to the implementation of mp\_copy this function uses the braced code and local aliases coding style. The three aliases that are on +Similar to the implementation of mp\_copy this function uses the braced code and local aliases coding style. The three aliases that are on lines @56,tmpa@, @59,tmpb@ and @62,tmpc@ represent the two inputs and destination variables respectively. These aliases are used to ensure the compiler does not have to dereference $a$, $b$ or $c$ (respectively) to access the digits of the respective mp\_int. -The initial carry $u$ will be cleared (line @65,u = 0@), note that $u$ is of type mp\_digit which ensures type +The initial carry $u$ will be cleared (line @65,u = 0@), note that $u$ is of type mp\_digit which ensures type compatibility within the implementation. The initial addition (line @66,for@ to @75,}@) adds digits from both inputs until the smallest input runs out of digits. Similarly the conditional addition loop -(line @81,for@ to @90,}@) adds the remaining digits from the larger of the two inputs. The addition is finished +(line @81,for@ to @90,}@) adds the remaining digits from the larger of the two inputs. The addition is finished with the final carry being stored in $tmpc$ (line @94,tmpc++@). Note the ``++'' operator within the same expression. After line @94,tmpc++@, $tmpc$ will point to the $c.used$'th digit of the mp\_int $c$. This is useful for the next loop (line @97,for@ to @99,}@) which set any old upper digits to zero. \subsection{Low Level Subtraction} The low level unsigned subtraction algorithm is very similar to the low level unsigned addition algorithm. The principle difference is that the -unsigned subtraction algorithm requires the result to be positive. That is when computing $a - b$ the condition $\vert a \vert \ge \vert b\vert$ must -be met for this algorithm to function properly. Keep in mind this low level algorithm is not meant to be used in higher level algorithms directly. +unsigned subtraction algorithm requires the result to be positive. That is when computing $a - b$ the condition $\vert a \vert \ge \vert b\vert$ must +be met for this algorithm to function properly. Keep in mind this low level algorithm is not meant to be used in higher level algorithms directly. This algorithm as will be shown can be used to create functional signed addition and subtraction algorithms. MARK,GAMMA For this algorithm a new variable is required to make the description simpler. Recall from section 1.3.1 that a mp\_digit must be able to represent -the range $0 \le x < 2\beta$ for the algorithms to work correctly. However, it is allowable that a mp\_digit represent a larger range of values. For -this algorithm we will assume that the variable $\gamma$ represents the number of bits available in a -mp\_digit (\textit{this implies $2^{\gamma} > \beta$}). +the range $0 \le x < 2\beta$ for the algorithms to work correctly. However, it is allowable that a mp\_digit represent a larger range of values. For +this algorithm we will assume that the variable $\gamma$ represents the number of bits available in a +mp\_digit (\textit{this implies $2^{\gamma} > \beta$}). For example, the default for LibTomMath is to use a ``unsigned long'' for the mp\_digit ``type'' while $\beta = 2^{28}$. In ISO C an ``unsigned long'' data type must be able to represent $0 \le x < 2^{32}$ meaning that in this case $\gamma \ge 32$. @@ -1685,7 +1674,7 @@ data type must be able to represent $0 \le x < 2^{32}$ meaning that in this case 1. $min \leftarrow b.used$ \\ 2. $max \leftarrow a.used$ \\ 3. If $c.alloc < max$ then grow $c$ to hold at least $max$ digits. (\textit{mp\_grow}) \\ -4. $oldused \leftarrow c.used$ \\ +4. $oldused \leftarrow c.used$ \\ 5. $c.used \leftarrow max$ \\ 6. $u \leftarrow 0$ \\ 7. for $n$ from $0$ to $min - 1$ do \\ @@ -1715,54 +1704,54 @@ passing variables $a$ and $b$ the condition that $\vert a \vert \ge \vert b \ver algorithm is loosely based on algorithm 14.9 \cite[pp. 595]{HAC} and is similar to algorithm S in \cite[pp. 267]{TAOCPV2} as well. As was the case of the algorithm s\_mp\_add both other references lack discussion concerning various practical details such as when the inputs differ in magnitude. -The initial sorting of the inputs is trivial in this algorithm since $a$ is guaranteed to have at least the same magnitude of $b$. Steps 1 and 2 -set the $min$ and $max$ variables. Unlike the addition routine there is guaranteed to be no carry which means that the final result can be at -most $max$ digits in length as opposed to $max + 1$. Similar to the addition algorithm the \textbf{used} count of $c$ is copied locally and +The initial sorting of the inputs is trivial in this algorithm since $a$ is guaranteed to have at least the same magnitude of $b$. Steps 1 and 2 +set the $min$ and $max$ variables. Unlike the addition routine there is guaranteed to be no carry which means that the final result can be at +most $max$ digits in length as opposed to $max + 1$. Similar to the addition algorithm the \textbf{used} count of $c$ is copied locally and set to the maximal count for the operation. -The subtraction loop that begins on step seven is essentially the same as the addition loop of algorithm s\_mp\_add except single precision -subtraction is used instead. Note the use of the $\gamma$ variable to extract the carry (\textit{also known as the borrow}) within the subtraction -loops. Under the assumption that two's complement single precision arithmetic is used this will successfully extract the desired carry. +The subtraction loop that begins on step seven is essentially the same as the addition loop of algorithm s\_mp\_add except single precision +subtraction is used instead. Note the use of the $\gamma$ variable to extract the carry (\textit{also known as the borrow}) within the subtraction +loops. Under the assumption that two's complement single precision arithmetic is used this will successfully extract the desired carry. -For example, consider subtracting $0101_2$ from $0100_2$ where $\gamma = 4$ and $\beta = 2$. The least significant bit will force a carry upwards to -the third bit which will be set to zero after the borrow. After the very first bit has been subtracted $4 - 1 \equiv 0011_2$ will remain, When the -third bit of $0101_2$ is subtracted from the result it will cause another carry. In this case though the carry will be forced to propagate all the -way to the most significant bit. +For example, consider subtracting $0101_2$ from $0100_2$ where $\gamma = 4$ and $\beta = 2$. The least significant bit will force a carry upwards to +the third bit which will be set to zero after the borrow. After the very first bit has been subtracted $4 - 1 \equiv 0011_2$ will remain, When the +third bit of $0101_2$ is subtracted from the result it will cause another carry. In this case though the carry will be forced to propagate all the +way to the most significant bit. -Recall that $\beta < 2^{\gamma}$. This means that if a carry does occur just before the $lg(\beta)$'th bit it will propagate all the way to the most +Recall that $\beta < 2^{\gamma}$. This means that if a carry does occur just before the $lg(\beta)$'th bit it will propagate all the way to the most significant bit. Thus, the high order bits of the mp\_digit that are not part of the actual digit will either be all zero, or all one. All that -is needed is a single zero or one bit for the carry. Therefore a single logical shift right by $\gamma - 1$ positions is sufficient to extract the -carry. This method of carry extraction may seem awkward but the reason for it becomes apparent when the implementation is discussed. +is needed is a single zero or one bit for the carry. Therefore a single logical shift right by $\gamma - 1$ positions is sufficient to extract the +carry. This method of carry extraction may seem awkward but the reason for it becomes apparent when the implementation is discussed. If $b$ has a smaller magnitude than $a$ then step 9 will force the carry and copy operation to propagate through the larger input $a$ into $c$. Step 10 will ensure that any leading digits of $c$ above the $max$'th position are zeroed. EXAM,bn_s_mp_sub.c -Like low level addition we ``sort'' the inputs. Except in this case the sorting is hardcoded -(lines @24,min@ and @25,max@). In reality the $min$ and $max$ variables are only aliases and are only -used to make the source code easier to read. Again the pointer alias optimization is used +Like low level addition we ``sort'' the inputs. Except in this case the sorting is hardcoded +(lines @24,min@ and @25,max@). In reality the $min$ and $max$ variables are only aliases and are only +used to make the source code easier to read. Again the pointer alias optimization is used within this algorithm. The aliases $tmpa$, $tmpb$ and $tmpc$ are initialized (lines @42,tmpa@, @43,tmpb@ and @44,tmpc@) for $a$, $b$ and $c$ respectively. The first subtraction loop (lines @47,u = 0@ through @61,}@) subtract digits from both inputs until the smaller of -the two inputs has been exhausted. As remarked earlier there is an implementation reason for using the ``awkward'' -method of extracting the carry (line @57, >>@). The traditional method for extracting the carry would be to shift -by $lg(\beta)$ positions and logically AND the least significant bit. The AND operation is required because all of -the bits above the $\lg(\beta)$'th bit will be set to one after a carry occurs from subtraction. This carry -extraction requires two relatively cheap operations to extract the carry. The other method is to simply shift the -most significant bit to the least significant bit thus extracting the carry with a single cheap operation. This +the two inputs has been exhausted. As remarked earlier there is an implementation reason for using the ``awkward'' +method of extracting the carry (line @57, >>@). The traditional method for extracting the carry would be to shift +by $lg(\beta)$ positions and logically AND the least significant bit. The AND operation is required because all of +the bits above the $\lg(\beta)$'th bit will be set to one after a carry occurs from subtraction. This carry +extraction requires two relatively cheap operations to extract the carry. The other method is to simply shift the +most significant bit to the least significant bit thus extracting the carry with a single cheap operation. This optimization only works on twos compliment machines which is a safe assumption to make. -If $a$ has a larger magnitude than $b$ an additional loop (lines @64,for@ through @73,}@) is required to propagate -the carry through $a$ and copy the result to $c$. +If $a$ has a larger magnitude than $b$ an additional loop (lines @64,for@ through @73,}@) is required to propagate +the carry through $a$ and copy the result to $c$. \subsection{High Level Addition} Now that both lower level addition and subtraction algorithms have been established an effective high level signed addition algorithm can be -established. This high level addition algorithm will be what other algorithms and developers will use to perform addition of mp\_int data -types. +established. This high level addition algorithm will be what other algorithms and developers will use to perform addition of mp\_int data +types. -Recall from section 5.2 that an mp\_int represents an integer with an unsigned mantissa (\textit{the array of digits}) and a \textbf{sign} +Recall from section 5.2 that an mp\_int represents an integer with an unsigned mantissa (\textit{the array of digits}) and a \textbf{sign} flag. A high level addition is actually performed as a series of eight separate cases which can be optimized down to three unique cases. \begin{figure}[!here] @@ -1790,8 +1779,8 @@ flag. A high level addition is actually performed as a series of eight separate \end{figure} \textbf{Algorithm mp\_add.} -This algorithm performs the signed addition of two mp\_int variables. There is no reference algorithm to draw upon from -either \cite{TAOCPV2} or \cite{HAC} since they both only provide unsigned operations. The algorithm is fairly +This algorithm performs the signed addition of two mp\_int variables. There is no reference algorithm to draw upon from +either \cite{TAOCPV2} or \cite{HAC} since they both only provide unsigned operations. The algorithm is fairly straightforward but restricted since subtraction can only produce positive results. \begin{figure}[here] @@ -1821,9 +1810,9 @@ straightforward but restricted since subtraction can only produce positive resul \label{fig:AddChart} \end{figure} -Figure~\ref{fig:AddChart} lists all of the eight possible input combinations and is sorted to show that only three -specific cases need to be handled. The return code of the unsigned operations at step 1.2, 2.1.2 and 2.2.2 are -forwarded to step three to check for errors. This simplifies the description of the algorithm considerably and best +Figure~\ref{fig:AddChart} lists all of the eight possible input combinations and is sorted to show that only three +specific cases need to be handled. The return code of the unsigned operations at step 1.2, 2.1.2 and 2.2.2 are +forwarded to step three to check for errors. This simplifies the description of the algorithm considerably and best follows how the implementation actually was achieved. Also note how the \textbf{sign} is set before the unsigned addition or subtraction is performed. Recall from the descriptions of algorithms @@ -1831,8 +1820,8 @@ s\_mp\_add and s\_mp\_sub that the mp\_clamp function is used at the end to trim to \textbf{MP\_ZPOS} when the \textbf{used} digit count reaches zero. For example, consider performing $-a + a$ with algorithm mp\_add. By the description of the algorithm the sign is set to \textbf{MP\_NEG} which would -produce a result of $-0$. However, since the sign is set first then the unsigned addition is performed the subsequent usage of algorithm mp\_clamp -within algorithm s\_mp\_add will force $-0$ to become $0$. +produce a result of $-0$. However, since the sign is set first then the unsigned addition is performed the subsequent usage of algorithm mp\_clamp +within algorithm s\_mp\_add will force $-0$ to become $0$. EXAM,bn_mp_add.c @@ -1842,7 +1831,7 @@ explicitly checking it and returning the constant \textbf{MP\_OKAY}. The observ level functions do so. Returning their return code is sufficient. \subsection{High Level Subtraction} -The high level signed subtraction algorithm is essentially the same as the high level signed addition algorithm. +The high level signed subtraction algorithm is essentially the same as the high level signed addition algorithm. \newpage\begin{figure}[!here] \begin{center} @@ -1872,7 +1861,7 @@ The high level signed subtraction algorithm is essentially the same as the high \end{figure} \textbf{Algorithm mp\_sub.} -This algorithm performs the signed subtraction of two inputs. Similar to algorithm mp\_add there is no reference in either \cite{TAOCPV2} or +This algorithm performs the signed subtraction of two inputs. Similar to algorithm mp\_add there is no reference in either \cite{TAOCPV2} or \cite{HAC}. Also this algorithm is restricted by algorithm s\_mp\_sub. Chart \ref{fig:SubChart} lists the eight possible inputs and the operations required. @@ -1899,28 +1888,28 @@ the operations required. \label{fig:SubChart} \end{figure} -Similar to the case of algorithm mp\_add the \textbf{sign} is set first before the unsigned addition or subtraction. That is to prevent the -algorithm from producing $-a - -a = -0$ as a result. +Similar to the case of algorithm mp\_add the \textbf{sign} is set first before the unsigned addition or subtraction. That is to prevent the +algorithm from producing $-a - -a = -0$ as a result. EXAM,bn_mp_sub.c Much like the implementation of algorithm mp\_add the variable $res$ is used to catch the return code of the unsigned addition or subtraction operations -and forward it to the end of the function. On line @38, != MP_LT@ the ``not equal to'' \textbf{MP\_LT} expression is used to emulate a -``greater than or equal to'' comparison. +and forward it to the end of the function. On line @38, != MP_LT@ the ``not equal to'' \textbf{MP\_LT} expression is used to emulate a +``greater than or equal to'' comparison. \section{Bit and Digit Shifting} MARK,POLY -It is quite common to think of a multiple precision integer as a polynomial in $x$, that is $y = f(\beta)$ where $f(x) = \sum_{i=0}^{n-1} a_i x^i$. -This notation arises within discussion of Montgomery and Diminished Radix Reduction as well as Karatsuba multiplication and squaring. +It is quite common to think of a multiple precision integer as a polynomial in $x$, that is $y = f(\beta)$ where $f(x) = \sum_{i=0}^{n-1} a_i x^i$. +This notation arises within discussion of Montgomery and Diminished Radix Reduction as well as Karatsuba multiplication and squaring. In order to facilitate operations on polynomials in $x$ as above a series of simple ``digit'' algorithms have to be established. That is to shift the digits left or right as well to shift individual bits of the digits left and right. It is important to note that not all ``shift'' operations -are on radix-$\beta$ digits. +are on radix-$\beta$ digits. \subsection{Multiplication by Two} -In a binary system where the radix is a power of two multiplication by two not only arises often in other algorithms it is a fairly efficient -operation to perform. A single precision logical shift left is sufficient to multiply a single digit by two. +In a binary system where the radix is a power of two multiplication by two not only arises often in other algorithms it is a fairly efficient +operation to perform. A single precision logical shift left is sufficient to multiply a single digit by two. \newpage\begin{figure}[!here] \begin{small} @@ -1954,26 +1943,26 @@ operation to perform. A single precision logical shift left is sufficient to mu \end{figure} \textbf{Algorithm mp\_mul\_2.} -This algorithm will quickly multiply a mp\_int by two provided $\beta$ is a power of two. Neither \cite{TAOCPV2} nor \cite{HAC} describe such -an algorithm despite the fact it arises often in other algorithms. The algorithm is setup much like the lower level algorithm s\_mp\_add since -it is for all intents and purposes equivalent to the operation $b = \vert a \vert + \vert a \vert$. +This algorithm will quickly multiply a mp\_int by two provided $\beta$ is a power of two. Neither \cite{TAOCPV2} nor \cite{HAC} describe such +an algorithm despite the fact it arises often in other algorithms. The algorithm is setup much like the lower level algorithm s\_mp\_add since +it is for all intents and purposes equivalent to the operation $b = \vert a \vert + \vert a \vert$. Step 1 and 2 grow the input as required to accomodate the maximum number of \textbf{used} digits in the result. The initial \textbf{used} count is set to $a.used$ at step 4. Only if there is a final carry will the \textbf{used} count require adjustment. -Step 6 is an optimization implementation of the addition loop for this specific case. That is since the two values being added together +Step 6 is an optimization implementation of the addition loop for this specific case. That is since the two values being added together are the same there is no need to perform two reads from the digits of $a$. Step 6.1 performs a single precision shift on the current digit $a_n$ to obtain what will be the carry for the next iteration. Step 6.2 calculates the $n$'th digit of the result as single precision shift of $a_n$ plus -the previous carry. Recall from ~SHIFTS~ that $a_n << 1$ is equivalent to $a_n \cdot 2$. An iteration of the addition loop is finished with +the previous carry. Recall from ~SHIFTS~ that $a_n << 1$ is equivalent to $a_n \cdot 2$. An iteration of the addition loop is finished with forwarding the carry to the next iteration. -Step 7 takes care of any final carry by setting the $a.used$'th digit of the result to the carry and augmenting the \textbf{used} count of $b$. +Step 7 takes care of any final carry by setting the $a.used$'th digit of the result to the carry and augmenting the \textbf{used} count of $b$. Step 8 clears any leading digits of $b$ in case it originally had a larger magnitude than $a$. EXAM,bn_mp_mul_2.c This implementation is essentially an optimized implementation of s\_mp\_add for the case of doubling an input. The only noteworthy difference -is the use of the logical shift operator on line @52,<<@ to perform a single precision doubling. +is the use of the logical shift operator on line @52,<<@ to perform a single precision doubling. \subsection{Division by Two} A division by two can just as easily be accomplished with a logical shift right as multiplication by two can be with a logical shift left. @@ -2014,26 +2003,26 @@ core as the basis of the algorithm. Unlike mp\_mul\_2 the shift operations work could be written to work from the trailing digit to the leading digit however, it would have to stop one short of $a.used - 1$ digits to prevent reading past the end of the array of digits. -Essentially the loop at step 6 is similar to that of mp\_mul\_2 except the logical shifts go in the opposite direction and the carry is at the -least significant bit not the most significant bit. +Essentially the loop at step 6 is similar to that of mp\_mul\_2 except the logical shifts go in the opposite direction and the carry is at the +least significant bit not the most significant bit. EXAM,bn_mp_div_2.c \section{Polynomial Basis Operations} Recall from ~POLY~ that any integer can be represented as a polynomial in $x$ as $y = f(\beta)$. Such a representation is also known as -the polynomial basis \cite[pp. 48]{ROSE}. Given such a notation a multiplication or division by $x$ amounts to shifting whole digits a single +the polynomial basis \cite[pp. 48]{ROSE}. Given such a notation a multiplication or division by $x$ amounts to shifting whole digits a single place. The need for such operations arises in several other higher level algorithms such as Barrett and Montgomery reduction, integer -division and Karatsuba multiplication. +division and Karatsuba multiplication. Converting from an array of digits to polynomial basis is very simple. Consider the integer $y \equiv (a_2, a_1, a_0)_{\beta}$ and recall that $y = \sum_{i=0}^{2} a_i \beta^i$. Simply replace $\beta$ with $x$ and the expression is in polynomial basis. For example, $f(x) = 8x + 9$ is the -polynomial basis representation for $89$ using radix ten. That is, $f(10) = 8(10) + 9 = 89$. +polynomial basis representation for $89$ using radix ten. That is, $f(10) = 8(10) + 9 = 89$. \subsection{Multiplication by $x$} -Given a polynomial in $x$ such as $f(x) = a_n x^n + a_{n-1} x^{n-1} + ... + a_0$ multiplying by $x$ amounts to shifting the coefficients up one +Given a polynomial in $x$ such as $f(x) = a_n x^n + a_{n-1} x^{n-1} + ... + a_0$ multiplying by $x$ amounts to shifting the coefficients up one degree. In this case $f(x) \cdot x = a_n x^{n+1} + a_{n-1} x^n + ... + a_0 x$. From a scalar basis point of view multiplying by $x$ is equivalent to -multiplying by the integer $\beta$. +multiplying by the integer $\beta$. \newpage\begin{figure}[!here] \begin{small} @@ -2064,16 +2053,16 @@ multiplying by the integer $\beta$. \end{figure} \textbf{Algorithm mp\_lshd.} -This algorithm multiplies an mp\_int by the $b$'th power of $x$. This is equivalent to multiplying by $\beta^b$. The algorithm differs +This algorithm multiplies an mp\_int by the $b$'th power of $x$. This is equivalent to multiplying by $\beta^b$. The algorithm differs from the other algorithms presented so far as it performs the operation in place instead storing the result in a separate location. The motivation behind this change is due to the way this function is typically used. Algorithms such as mp\_add store the result in an optionally different third mp\_int because the original inputs are often still required. Algorithm mp\_lshd (\textit{and similarly algorithm mp\_rshd}) is -typically used on values where the original value is no longer required. The algorithm will return success immediately if -$b \le 0$ since the rest of algorithm is only valid when $b > 0$. +typically used on values where the original value is no longer required. The algorithm will return success immediately if +$b \le 0$ since the rest of algorithm is only valid when $b > 0$. First the destination $a$ is grown as required to accomodate the result. The counters $i$ and $j$ are used to form a \textit{sliding window} over -the digits of $a$ of length $b$. The head of the sliding window is at $i$ (\textit{the leading digit}) and the tail at $j$ (\textit{the trailing digit}). -The loop on step 7 copies the digit from the tail to the head. In each iteration the window is moved down one digit. The last loop on +the digits of $a$ of length $b$. The head of the sliding window is at $i$ (\textit{the leading digit}) and the tail at $j$ (\textit{the trailing digit}). +The loop on step 7 copies the digit from the tail to the head. In each iteration the window is moved down one digit. The last loop on step 8 sets the lower $b$ digits to zero. \newpage @@ -2082,14 +2071,14 @@ FIGU,sliding_window,Sliding Window Movement EXAM,bn_mp_lshd.c The if statement (line @24,if@) ensures that the $b$ variable is greater than zero since we do not interpret negative -shift counts properly. The \textbf{used} count is incremented by $b$ before the copy loop begins. This elminates +shift counts properly. The \textbf{used} count is incremented by $b$ before the copy loop begins. This elminates the need for an additional variable in the for loop. The variable $top$ (line @42,top@) is an alias -for the leading digit while $bottom$ (line @45,bottom@) is an alias for the trailing edge. The aliases form a -window of exactly $b$ digits over the input. +for the leading digit while $bottom$ (line @45,bottom@) is an alias for the trailing edge. The aliases form a +window of exactly $b$ digits over the input. \subsection{Division by $x$} -Division by powers of $x$ is easily achieved by shifting the digits right and removing any that will end up to the right of the zero'th digit. +Division by powers of $x$ is easily achieved by shifting the digits right and removing any that will end up to the right of the zero'th digit. \newpage\begin{figure}[!here] \begin{small} @@ -2122,13 +2111,13 @@ Division by powers of $x$ is easily achieved by shifting the digits right and re \textbf{Algorithm mp\_rshd.} This algorithm divides the input in place by the $b$'th power of $x$. It is analogous to dividing by a $\beta^b$ but much quicker since -it does not require single precision division. This algorithm does not actually return an error code as it cannot fail. +it does not require single precision division. This algorithm does not actually return an error code as it cannot fail. If the input $b$ is less than one the algorithm quickly returns without performing any work. If the \textbf{used} count is less than or equal to the shift count $b$ then it will simply zero the input and return. After the trivial cases of inputs have been handled the sliding window is setup. Much like the case of algorithm mp\_lshd a sliding window that -is $b$ digits wide is used to copy the digits. Unlike mp\_lshd the window slides in the opposite direction from the trailing to the leading digit. +is $b$ digits wide is used to copy the digits. Unlike mp\_lshd the window slides in the opposite direction from the trailing to the leading digit. Also the digits are copied from the leading to the trailing edge. Once the window copy is complete the upper digits must be zeroed and the \textbf{used} count decremented. @@ -2141,9 +2130,9 @@ the upper digits of the input to make sure the result is correct. \section{Powers of Two} -Now that algorithms for moving single bits as well as whole digits exist algorithms for moving the ``in between'' distances are required. For +Now that algorithms for moving single bits as well as whole digits exist algorithms for moving the ``in between'' distances are required. For example, to quickly multiply by $2^k$ for any $k$ without using a full multiplier algorithm would prove useful. Instead of performing single -shifts $k$ times to achieve a multiplication by $2^{\pm k}$ a mixture of whole digit shifting and partial digit shifting is employed. +shifts $k$ times to achieve a multiplication by $2^{\pm k}$ a mixture of whole digit shifting and partial digit shifting is employed. \subsection{Multiplication by Power of Two} @@ -2184,29 +2173,29 @@ shifts $k$ times to achieve a multiplication by $2^{\pm k}$ a mixture of whole d This algorithm multiplies $a$ by $2^b$ and stores the result in $c$. The algorithm uses algorithm mp\_lshd and a derivative of algorithm mp\_mul\_2 to quickly compute the product. -First the algorithm will multiply $a$ by $x^{\lfloor b / lg(\beta) \rfloor}$ which will ensure that the remainder multiplicand is less than -$\beta$. For example, if $b = 37$ and $\beta = 2^{28}$ then this step will multiply by $x$ leaving a multiplication by $2^{37 - 28} = 2^{9}$ +First the algorithm will multiply $a$ by $x^{\lfloor b / lg(\beta) \rfloor}$ which will ensure that the remainder multiplicand is less than +$\beta$. For example, if $b = 37$ and $\beta = 2^{28}$ then this step will multiply by $x$ leaving a multiplication by $2^{37 - 28} = 2^{9}$ left. -After the digits have been shifted appropriately at most $lg(\beta) - 1$ shifts are left to perform. Step 5 calculates the number of remaining shifts -required. If it is non-zero a modified shift loop is used to calculate the remaining product. +After the digits have been shifted appropriately at most $lg(\beta) - 1$ shifts are left to perform. Step 5 calculates the number of remaining shifts +required. If it is non-zero a modified shift loop is used to calculate the remaining product. Essentially the loop is a generic version of algorithm mp\_mul\_2 designed to handle any shift count in the range $1 \le x < lg(\beta)$. The $mask$ -variable is used to extract the upper $d$ bits to form the carry for the next iteration. +variable is used to extract the upper $d$ bits to form the carry for the next iteration. -This algorithm is loosely measured as a $O(2n)$ algorithm which means that if the input is $n$-digits that it takes $2n$ ``time'' to +This algorithm is loosely measured as a $O(2n)$ algorithm which means that if the input is $n$-digits that it takes $2n$ ``time'' to complete. It is possible to optimize this algorithm down to a $O(n)$ algorithm at a cost of making the algorithm slightly harder to follow. EXAM,bn_mp_mul_2d.c -The shifting is performed in--place which means the first step (line @24,a != c@) is to copy the input to the +The shifting is performed in--place which means the first step (line @24,a != c@) is to copy the input to the destination. We avoid calling mp\_copy() by making sure the mp\_ints are different. The destination then has to be grown (line @31,grow@) to accomodate the result. -If the shift count $b$ is larger than $lg(\beta)$ then a call to mp\_lshd() is used to handle all of the multiples -of $lg(\beta)$. Leaving only a remaining shift of $lg(\beta) - 1$ or fewer bits left. Inside the actual shift +If the shift count $b$ is larger than $lg(\beta)$ then a call to mp\_lshd() is used to handle all of the multiples +of $lg(\beta)$. Leaving only a remaining shift of $lg(\beta) - 1$ or fewer bits left. Inside the actual shift loop (lines @45,if@ to @76,}@) we make use of pre--computed values $shift$ and $mask$. These are used to -extract the carry bit(s) to pass into the next iteration of the loop. The $r$ and $rr$ variables form a -chain between consecutive iterations to propagate the carry. +extract the carry bit(s) to pass into the next iteration of the loop. The $r$ and $rr$ variables form a +chain between consecutive iterations to propagate the carry. \subsection{Division by Power of Two} @@ -2244,14 +2233,14 @@ chain between consecutive iterations to propagate the carry. \end{figure} \textbf{Algorithm mp\_div\_2d.} -This algorithm will divide an input $a$ by $2^b$ and produce the quotient and remainder. The algorithm is designed much like algorithm +This algorithm will divide an input $a$ by $2^b$ and produce the quotient and remainder. The algorithm is designed much like algorithm mp\_mul\_2d by first using whole digit shifts then single precision shifts. This algorithm will also produce the remainder of the division by using algorithm mp\_mod\_2d. EXAM,bn_mp_div_2d.c -The implementation of algorithm mp\_div\_2d is slightly different than the algorithm specifies. The remainder $d$ may be optionally -ignored by passing \textbf{NULL} as the pointer to the mp\_int variable. The temporary mp\_int variable $t$ is used to hold the +The implementation of algorithm mp\_div\_2d is slightly different than the algorithm specifies. The remainder $d$ may be optionally +ignored by passing \textbf{NULL} as the pointer to the mp\_int variable. The temporary mp\_int variable $t$ is used to hold the result of the remainder operation until the end. This allows $d$ and $a$ to represent the same mp\_int without modifying $a$ before the quotient is obtained. @@ -2261,7 +2250,7 @@ the direction of the shifts. \subsection{Remainder of Division by Power of Two} The last algorithm in the series of polynomial basis power of two algorithms is calculating the remainder of division by $2^b$. This -algorithm benefits from the fact that in twos complement arithmetic $a \mbox{ (mod }2^b\mbox{)}$ is the same as $a$ AND $2^b - 1$. +algorithm benefits from the fact that in twos complement arithmetic $a \mbox{ (mod }2^b\mbox{)}$ is the same as $a$ AND $2^b - 1$. \begin{figure}[!here] \begin{small} @@ -2293,8 +2282,8 @@ algorithm benefits from the fact that in twos complement arithmetic $a \mbox{ (m \end{figure} \textbf{Algorithm mp\_mod\_2d.} -This algorithm will quickly calculate the value of $a \mbox{ (mod }2^b\mbox{)}$. First if $b$ is less than or equal to zero the -result is set to zero. If $b$ is greater than the number of bits in $a$ then it simply copies $a$ to $c$ and returns. Otherwise, $a$ +This algorithm will quickly calculate the value of $a \mbox{ (mod }2^b\mbox{)}$. First if $b$ is less than or equal to zero the +result is set to zero. If $b$ is greater than the number of bits in $a$ then it simply copies $a$ to $c$ and returns. Otherwise, $a$ is copied to $b$, leading digits are removed and the remaining leading digit is trimed to the exact bit count. EXAM,bn_mp_mod_2d.c @@ -2303,8 +2292,8 @@ We first avoid cases of $b \le 0$ by simply mp\_zero()'ing the destination in su than the input we just mp\_copy() the input and return right away. After this point we know we must actually perform some work to produce the remainder. -Recalling that reducing modulo $2^k$ and a binary ``and'' with $2^k - 1$ are numerically equivalent we can quickly reduce -the number. First we zero any digits above the last digit in $2^b$ (line @41,for@). Next we reduce the +Recalling that reducing modulo $2^k$ and a binary ``and'' with $2^k - 1$ are numerically equivalent we can quickly reduce +the number. First we zero any digits above the last digit in $2^b$ (line @41,for@). Next we reduce the leading digit of both (line @45,&=@) and then mp\_clamp(). \section*{Exercises} @@ -2338,40 +2327,40 @@ $\left [ 2 \right ] $ & Using only algorithms mp\_abs and mp\_sub devise another \chapter{Multiplication and Squaring} \section{The Multipliers} -For most number theoretic problems including certain public key cryptographic algorithms, the ``multipliers'' form the most important subset of -algorithms of any multiple precision integer package. The set of multiplier algorithms include integer multiplication, squaring and modular reduction -where in each of the algorithms single precision multiplication is the dominant operation performed. This chapter will discuss integer multiplication -and squaring, leaving modular reductions for the subsequent chapter. +For most number theoretic problems including certain public key cryptographic algorithms, the ``multipliers'' form the most important subset of +algorithms of any multiple precision integer package. The set of multiplier algorithms include integer multiplication, squaring and modular reduction +where in each of the algorithms single precision multiplication is the dominant operation performed. This chapter will discuss integer multiplication +and squaring, leaving modular reductions for the subsequent chapter. -The importance of the multiplier algorithms is for the most part driven by the fact that certain popular public key algorithms are based on modular +The importance of the multiplier algorithms is for the most part driven by the fact that certain popular public key algorithms are based on modular exponentiation, that is computing $d \equiv a^b \mbox{ (mod }c\mbox{)}$ for some arbitrary choice of $a$, $b$, $c$ and $d$. During a modular -exponentiation the majority\footnote{Roughly speaking a modular exponentiation will spend about 40\% of the time performing modular reductions, -35\% of the time performing squaring and 25\% of the time performing multiplications.} of the processor time is spent performing single precision +exponentiation the majority\footnote{Roughly speaking a modular exponentiation will spend about 40\% of the time performing modular reductions, +35\% of the time performing squaring and 25\% of the time performing multiplications.} of the processor time is spent performing single precision multiplications. -For centuries general purpose multiplication has required a lengthly $O(n^2)$ process, whereby each digit of one multiplicand has to be multiplied -against every digit of the other multiplicand. Traditional long-hand multiplication is based on this process; while the techniques can differ the -overall algorithm used is essentially the same. Only ``recently'' have faster algorithms been studied. First Karatsuba multiplication was discovered in -1962. This algorithm can multiply two numbers with considerably fewer single precision multiplications when compared to the long-hand approach. -This technique led to the discovery of polynomial basis algorithms (\textit{good reference?}) and subquently Fourier Transform based solutions. +For centuries general purpose multiplication has required a lengthly $O(n^2)$ process, whereby each digit of one multiplicand has to be multiplied +against every digit of the other multiplicand. Traditional long-hand multiplication is based on this process; while the techniques can differ the +overall algorithm used is essentially the same. Only ``recently'' have faster algorithms been studied. First Karatsuba multiplication was discovered in +1962. This algorithm can multiply two numbers with considerably fewer single precision multiplications when compared to the long-hand approach. +This technique led to the discovery of polynomial basis algorithms (\textit{good reference?}) and subquently Fourier Transform based solutions. \section{Multiplication} \subsection{The Baseline Multiplication} \label{sec:basemult} \index{baseline multiplication} Computing the product of two integers in software can be achieved using a trivial adaptation of the standard $O(n^2)$ long-hand multiplication -algorithm that school children are taught. The algorithm is considered an $O(n^2)$ algorithm since for two $n$-digit inputs $n^2$ single precision -multiplications are required. More specifically for a $m$ and $n$ digit input $m \cdot n$ single precision multiplications are required. To -simplify most discussions, it will be assumed that the inputs have comparable number of digits. - -The ``baseline multiplication'' algorithm is designed to act as the ``catch-all'' algorithm, only to be used when the faster algorithms cannot be -used. This algorithm does not use any particularly interesting optimizations and should ideally be avoided if possible. One important -facet of this algorithm, is that it has been modified to only produce a certain amount of output digits as resolution. The importance of this -modification will become evident during the discussion of Barrett modular reduction. Recall that for a $n$ and $m$ digit input the product -will be at most $n + m$ digits. Therefore, this algorithm can be reduced to a full multiplier by having it produce $n + m$ digits of the product. - -Recall from ~GAMMA~ the definition of $\gamma$ as the number of bits in the type \textbf{mp\_digit}. We shall now extend the variable set to -include $\alpha$ which shall represent the number of bits in the type \textbf{mp\_word}. This implies that $2^{\alpha} > 2 \cdot \beta^2$. The +algorithm that school children are taught. The algorithm is considered an $O(n^2)$ algorithm since for two $n$-digit inputs $n^2$ single precision +multiplications are required. More specifically for a $m$ and $n$ digit input $m \cdot n$ single precision multiplications are required. To +simplify most discussions, it will be assumed that the inputs have comparable number of digits. + +The ``baseline multiplication'' algorithm is designed to act as the ``catch-all'' algorithm, only to be used when the faster algorithms cannot be +used. This algorithm does not use any particularly interesting optimizations and should ideally be avoided if possible. One important +facet of this algorithm, is that it has been modified to only produce a certain amount of output digits as resolution. The importance of this +modification will become evident during the discussion of Barrett modular reduction. Recall that for a $n$ and $m$ digit input the product +will be at most $n + m$ digits. Therefore, this algorithm can be reduced to a full multiplier by having it produce $n + m$ digits of the product. + +Recall from ~GAMMA~ the definition of $\gamma$ as the number of bits in the type \textbf{mp\_digit}. We shall now extend the variable set to +include $\alpha$ which shall represent the number of bits in the type \textbf{mp\_word}. This implies that $2^{\alpha} > 2 \cdot \beta^2$. The constant $\delta = 2^{\alpha - 2lg(\beta)}$ will represent the maximal weight of any column in a product (\textit{see ~COMBA~ for more information}). \newpage\begin{figure}[!here] @@ -2415,20 +2404,20 @@ Compute the product. \\ \textbf{Algorithm s\_mp\_mul\_digs.} This algorithm computes the unsigned product of two inputs $a$ and $b$, limited to an output precision of $digs$ digits. While it may seem -a bit awkward to modify the function from its simple $O(n^2)$ description, the usefulness of partial multipliers will arise in a subsequent -algorithm. The algorithm is loosely based on algorithm 14.12 from \cite[pp. 595]{HAC} and is similar to Algorithm M of Knuth \cite[pp. 268]{TAOCPV2}. -Algorithm s\_mp\_mul\_digs differs from these cited references since it can produce a variable output precision regardless of the precision of the +a bit awkward to modify the function from its simple $O(n^2)$ description, the usefulness of partial multipliers will arise in a subsequent +algorithm. The algorithm is loosely based on algorithm 14.12 from \cite[pp. 595]{HAC} and is similar to Algorithm M of Knuth \cite[pp. 268]{TAOCPV2}. +Algorithm s\_mp\_mul\_digs differs from these cited references since it can produce a variable output precision regardless of the precision of the inputs. The first thing this algorithm checks for is whether a Comba multiplier can be used instead. If the minimum digit count of either -input is less than $\delta$, then the Comba method may be used instead. After the Comba method is ruled out, the baseline algorithm begins. A -temporary mp\_int variable $t$ is used to hold the intermediate result of the product. This allows the algorithm to be used to -compute products when either $a = c$ or $b = c$ without overwriting the inputs. +input is less than $\delta$, then the Comba method may be used instead. After the Comba method is ruled out, the baseline algorithm begins. A +temporary mp\_int variable $t$ is used to hold the intermediate result of the product. This allows the algorithm to be used to +compute products when either $a = c$ or $b = c$ without overwriting the inputs. All of step 5 is the infamous $O(n^2)$ multiplication loop slightly modified to only produce upto $digs$ digits of output. The $pb$ variable is given the count of digits to read from $b$ inside the nested loop. If $pb \le 1$ then no more output digits can be produced and the algorithm -will exit the loop. The best way to think of the loops are as a series of $pb \times 1$ multiplications. That is, in each pass of the -innermost loop $a_{ix}$ is multiplied against $b$ and the result is added (\textit{with an appropriate shift}) to $t$. +will exit the loop. The best way to think of the loops are as a series of $pb \times 1$ multiplications. That is, in each pass of the +innermost loop $a_{ix}$ is multiplied against $b$ and the result is added (\textit{with an appropriate shift}) to $t$. For example, consider multiplying $576$ by $241$. That is equivalent to computing $10^0(1)(576) + 10^1(4)(576) + 10^2(2)(576)$ which is best visualized in the following table. @@ -2442,20 +2431,20 @@ visualized in the following table. && & 5 & 7 & 6 & $10^0(1)(576)$ \\ &2 & 3 & 6 & 1 & 6 & $10^1(4)(576) + 10^0(1)(576)$ \\ 1 & 3 & 8 & 8 & 1 & 6 & $10^2(2)(576) + 10^1(4)(576) + 10^0(1)(576)$ \\ -\hline +\hline \end{tabular} \end{center} \caption{Long-Hand Multiplication Diagram} \end{figure} -Each row of the product is added to the result after being shifted to the left (\textit{multiplied by a power of the radix}) by the appropriate +Each row of the product is added to the result after being shifted to the left (\textit{multiplied by a power of the radix}) by the appropriate count. That is in pass $ix$ of the inner loop the product is added starting at the $ix$'th digit of the reult. Step 5.4.1 introduces the hat symbol (\textit{e.g. $\hat r$}) which represents a double precision variable. The multiplication on that step is assumed to be a double wide output single precision multiplication. That is, two single precision variables are multiplied to produce a double precision result. The step is somewhat optimized from a long-hand multiplication algorithm because the carry from the addition in step -5.4.1 is propagated through the nested loop. If the carry was not propagated immediately it would overflow the single precision digit -$t_{ix+iy}$ and the result would be lost. +5.4.1 is propagated through the nested loop. If the carry was not propagated immediately it would overflow the single precision digit +$t_{ix+iy}$ and the result would be lost. At step 5.5 the nested loop is finished and any carry that was left over should be forwarded. The carry does not have to be added to the $ix+pb$'th digit since that digit is assumed to be zero at this point. However, if $ix + pb \ge digs$ the carry is not set as it would make the result @@ -2463,53 +2452,53 @@ exceed the precision requested. EXAM,bn_s_mp_mul_digs.c -First we determine (line @30,if@) if the Comba method can be used first since it's faster. The conditions for -sing the Comba routine are that min$(a.used, b.used) < \delta$ and the number of digits of output is less than -\textbf{MP\_WARRAY}. This new constant is used to control the stack usage in the Comba routines. By default it is +First we determine (line @30,if@) if the Comba method can be used first since it's faster. The conditions for +sing the Comba routine are that min$(a.used, b.used) < \delta$ and the number of digits of output is less than +\textbf{MP\_WARRAY}. This new constant is used to control the stack usage in the Comba routines. By default it is set to $\delta$ but can be reduced when memory is at a premium. If we cannot use the Comba method we proceed to setup the baseline routine. We allocate the the destination mp\_int -$t$ (line @36,init@) to the exact size of the output to avoid further re--allocations. At this point we now +$t$ (line @36,init@) to the exact size of the output to avoid further re--allocations. At this point we now begin the $O(n^2)$ loop. This implementation of multiplication has the caveat that it can be trimmed to only produce a variable number of -digits as output. In each iteration of the outer loop the $pb$ variable is set (line @48,MIN@) to the maximum -number of inner loop iterations. +digits as output. In each iteration of the outer loop the $pb$ variable is set (line @48,MIN@) to the maximum +number of inner loop iterations. Inside the inner loop we calculate $\hat r$ as the mp\_word product of the two mp\_digits and the addition of the -carry from the previous iteration. A particularly important observation is that most modern optimizing -C compilers (GCC for instance) can recognize that a $N \times N \rightarrow 2N$ multiplication is all that +carry from the previous iteration. A particularly important observation is that most modern optimizing +C compilers (GCC for instance) can recognize that a $N \times N \rightarrow 2N$ multiplication is all that is required for the product. In x86 terms for example, this means using the MUL instruction. -Each digit of the product is stored in turn (line @68,tmpt@) and the carry propagated (line @71,>>@) to the +Each digit of the product is stored in turn (line @68,tmpt@) and the carry propagated (line @71,>>@) to the next iteration. \subsection{Faster Multiplication by the ``Comba'' Method} MARK,COMBA -One of the huge drawbacks of the ``baseline'' algorithms is that at the $O(n^2)$ level the carry must be -computed and propagated upwards. This makes the nested loop very sequential and hard to unroll and implement -in parallel. The ``Comba'' \cite{COMBA} method is named after little known (\textit{in cryptographic venues}) Paul G. -Comba who described a method of implementing fast multipliers that do not require nested carry fixup operations. As an -interesting aside it seems that Paul Barrett describes a similar technique in his 1986 paper \cite{BARRETT} written +One of the huge drawbacks of the ``baseline'' algorithms is that at the $O(n^2)$ level the carry must be +computed and propagated upwards. This makes the nested loop very sequential and hard to unroll and implement +in parallel. The ``Comba'' \cite{COMBA} method is named after little known (\textit{in cryptographic venues}) Paul G. +Comba who described a method of implementing fast multipliers that do not require nested carry fixup operations. As an +interesting aside it seems that Paul Barrett describes a similar technique in his 1986 paper \cite{BARRETT} written five years before. -At the heart of the Comba technique is once again the long-hand algorithm. Except in this case a slight -twist is placed on how the columns of the result are produced. In the standard long-hand algorithm rows of products -are produced then added together to form the final result. In the baseline algorithm the columns are added together -after each iteration to get the result instantaneously. +At the heart of the Comba technique is once again the long-hand algorithm. Except in this case a slight +twist is placed on how the columns of the result are produced. In the standard long-hand algorithm rows of products +are produced then added together to form the final result. In the baseline algorithm the columns are added together +after each iteration to get the result instantaneously. -In the Comba algorithm the columns of the result are produced entirely independently of each other. That is at -the $O(n^2)$ level a simple multiplication and addition step is performed. The carries of the columns are propagated -after the nested loop to reduce the amount of work requiored. Succintly the first step of the algorithm is to compute -the product vector $\vec x$ as follows. +In the Comba algorithm the columns of the result are produced entirely independently of each other. That is at +the $O(n^2)$ level a simple multiplication and addition step is performed. The carries of the columns are propagated +after the nested loop to reduce the amount of work requiored. Succintly the first step of the algorithm is to compute +the product vector $\vec x$ as follows. \begin{equation} \vec x_n = \sum_{i+j = n} a_ib_j, \forall n \in \lbrace 0, 1, 2, \ldots, i + j \rbrace \end{equation} Where $\vec x_n$ is the $n'th$ column of the output vector. Consider the following example which computes the vector $\vec x$ for the multiplication -of $576$ and $241$. +of $576$ and $241$. \newpage\begin{figure}[here] \begin{small} @@ -2520,15 +2509,15 @@ of $576$ and $241$. \hline & & $1 \cdot 5 = 5$ & $1 \cdot 7 = 7$ & $1 \cdot 6 = 6$ & First pass \\ & $4 \cdot 5 = 20$ & $4 \cdot 7+5=33$ & $4 \cdot 6+7=31$ & 6 & Second pass \\ $2 \cdot 5 = 10$ & $2 \cdot 7 + 20 = 34$ & $2 \cdot 6+33=45$ & 31 & 6 & Third pass \\ -\hline 10 & 34 & 45 & 31 & 6 & Final Result \\ -\hline +\hline 10 & 34 & 45 & 31 & 6 & Final Result \\ +\hline \end{tabular} \end{center} \end{small} \caption{Comba Multiplication Diagram} \end{figure} -At this point the vector $x = \left < 10, 34, 45, 31, 6 \right >$ is the result of the first step of the Comba multipler. +At this point the vector $x = \left < 10, 34, 45, 31, 6 \right >$ is the result of the first step of the Comba multipler. Now the columns must be fixed by propagating the carry upwards. The resultant vector will have one extra dimension over the input vector which is congruent to adding a leading zero digit. @@ -2551,16 +2540,16 @@ congruent to adding a leading zero digit. \caption{Algorithm Comba Fixup} \end{figure} -With that algorithm and $k = 5$ and $\beta = 10$ the following vector is produced $\vec x= \left < 1, 3, 8, 8, 1, 6 \right >$. In this case +With that algorithm and $k = 5$ and $\beta = 10$ the following vector is produced $\vec x= \left < 1, 3, 8, 8, 1, 6 \right >$. In this case $241 \cdot 576$ is in fact $138816$ and the procedure succeeded. If the algorithm is correct and as will be demonstrated shortly more efficient than the baseline algorithm why not simply always use this algorithm? \subsubsection{Column Weight.} -At the nested $O(n^2)$ level the Comba method adds the product of two single precision variables to each column of the output +At the nested $O(n^2)$ level the Comba method adds the product of two single precision variables to each column of the output independently. A serious obstacle is if the carry is lost, due to lack of precision before the algorithm has a chance to fix the carries. For example, in the multiplication of two three-digit numbers the third column of output will be the sum of three single precision multiplications. If the precision of the accumulator for the output digits is less then $3 \cdot (\beta - 1)^2$ then -an overflow can occur and the carry information will be lost. For any $m$ and $n$ digit inputs the maximum weight of any column is +an overflow can occur and the carry information will be lost. For any $m$ and $n$ digit inputs the maximum weight of any column is min$(m, n)$ which is fairly obvious. The maximum number of terms in any column of a product is known as the ``column weight'' and strictly governs when the algorithm can be used. Recall @@ -2571,7 +2560,7 @@ two quantities we must not violate the following k \cdot \left (\beta - 1 \right )^2 < 2^{\alpha} \end{equation} -Which reduces to +Which reduces to \begin{equation} k \cdot \left ( \beta^2 - 2\beta + 1 \right ) < 2^{\alpha} @@ -2584,9 +2573,9 @@ found. k < {{2^{\alpha}} \over {\left (2^{2\rho} - 2^{\rho + 1} + 1 \right )}} \end{equation} -The defaults for LibTomMath are $\beta = 2^{28}$ and $\alpha = 2^{64}$ which means that $k$ is bounded by $k < 257$. In this configuration -the smaller input may not have more than $256$ digits if the Comba method is to be used. This is quite satisfactory for most applications since -$256$ digits would allow for numbers in the range of $0 \le x < 2^{7168}$ which, is much larger than most public key cryptographic algorithms require. +The defaults for LibTomMath are $\beta = 2^{28}$ and $\alpha = 2^{64}$ which means that $k$ is bounded by $k < 257$. In this configuration +the smaller input may not have more than $256$ digits if the Comba method is to be used. This is quite satisfactory for most applications since +$256$ digits would allow for numbers in the range of $0 \le x < 2^{7168}$ which, is much larger than most public key cryptographic algorithms require. \newpage\begin{figure}[!here] \begin{small} @@ -2632,74 +2621,74 @@ Place an array of \textbf{MP\_WARRAY} single precision digits named $W$ on the s \textbf{Algorithm fast\_s\_mp\_mul\_digs.} This algorithm performs the unsigned multiplication of $a$ and $b$ using the Comba method limited to $digs$ digits of precision. -The outer loop of this algorithm is more complicated than that of the baseline multiplier. This is because on the inside of the +The outer loop of this algorithm is more complicated than that of the baseline multiplier. This is because on the inside of the loop we want to produce one column per pass. This allows the accumulator $\_ \hat W$ to be placed in CPU registers and reduce the memory bandwidth to two \textbf{mp\_digit} reads per iteration. The $ty$ variable is set to the minimum count of $ix$ or the number of digits in $b$. That way if $a$ has more digits than $b$ this will be limited to $b.used - 1$. The $tx$ variable is set to the to the distance past $b.used$ the variable -$ix$ is. This is used for the immediately subsequent statement where we find $iy$. +$ix$ is. This is used for the immediately subsequent statement where we find $iy$. The variable $iy$ is the minimum digits we can read from either $a$ or $b$ before running out. Computing one column at a time means we have to scan one integer upwards and the other downwards. $a$ starts at $tx$ and $b$ starts at $ty$. In each -pass we are producing the $ix$'th output column and we note that $tx + ty = ix$. As we move $tx$ upwards we have to -move $ty$ downards so the equality remains valid. The $iy$ variable is the number of iterations until +pass we are producing the $ix$'th output column and we note that $tx + ty = ix$. As we move $tx$ upwards we have to +move $ty$ downards so the equality remains valid. The $iy$ variable is the number of iterations until $tx \ge a.used$ or $ty < 0$ occurs. After every inner pass we store the lower half of the accumulator into $W_{ix}$ and then propagate the carry of the accumulator into the next round by dividing $\_ \hat W$ by $\beta$. -To measure the benefits of the Comba method over the baseline method consider the number of operations that are required. If the -cost in terms of time of a multiply and addition is $p$ and the cost of a carry propagation is $q$ then a baseline multiplication would require -$O \left ((p + q)n^2 \right )$ time to multiply two $n$-digit numbers. The Comba method requires only $O(pn^2 + qn)$ time, however in practice, +To measure the benefits of the Comba method over the baseline method consider the number of operations that are required. If the +cost in terms of time of a multiply and addition is $p$ and the cost of a carry propagation is $q$ then a baseline multiplication would require +$O \left ((p + q)n^2 \right )$ time to multiply two $n$-digit numbers. The Comba method requires only $O(pn^2 + qn)$ time, however in practice, the speed increase is actually much more. With $O(n)$ space the algorithm can be reduced to $O(pn + qn)$ time by implementing the $n$ multiply -and addition operations in the nested loop in parallel. +and addition operations in the nested loop in parallel. EXAM,bn_fast_s_mp_mul_digs.c As per the pseudo--code we first calculate $pa$ (line @47,MIN@) as the number of digits to output. Next we begin the outer loop to produce the individual columns of the product. We use the two aliases $tmpx$ and $tmpy$ (lines @61,tmpx@, @62,tmpy@) to point -inside the two multiplicands quickly. - -The inner loop (lines @70,for@ to @72,}@) of this implementation is where the tradeoff come into play. Originally this comba -implementation was ``row--major'' which means it adds to each of the columns in each pass. After the outer loop it would then fix -the carries. This was very fast except it had an annoying drawback. You had to read a mp\_word and two mp\_digits and write -one mp\_word per iteration. On processors such as the Athlon XP and P4 this did not matter much since the cache bandwidth -is very high and it can keep the ALU fed with data. It did, however, matter on older and embedded cpus where cache is often -slower and also often doesn't exist. This new algorithm only performs two reads per iteration under the assumption that the +inside the two multiplicands quickly. + +The inner loop (lines @70,for@ to @72,}@) of this implementation is where the tradeoff come into play. Originally this comba +implementation was ``row--major'' which means it adds to each of the columns in each pass. After the outer loop it would then fix +the carries. This was very fast except it had an annoying drawback. You had to read a mp\_word and two mp\_digits and write +one mp\_word per iteration. On processors such as the Athlon XP and P4 this did not matter much since the cache bandwidth +is very high and it can keep the ALU fed with data. It did, however, matter on older and embedded cpus where cache is often +slower and also often doesn't exist. This new algorithm only performs two reads per iteration under the assumption that the compiler has aliased $\_ \hat W$ to a CPU register. -After the inner loop we store the current accumulator in $W$ and shift $\_ \hat W$ (lines @75,W[ix]@, @78,>>@) to forward it as -a carry for the next pass. After the outer loop we use the final carry (line @82,W[ix]@) as the last digit of the product. +After the inner loop we store the current accumulator in $W$ and shift $\_ \hat W$ (lines @75,W[ix]@, @78,>>@) to forward it as +a carry for the next pass. After the outer loop we use the final carry (line @82,W[ix]@) as the last digit of the product. \subsection{Polynomial Basis Multiplication} To break the $O(n^2)$ barrier in multiplication requires a completely different look at integer multiplication. In the following algorithms -the use of polynomial basis representation for two integers $a$ and $b$ as $f(x) = \sum_{i=0}^{n} a_i x^i$ and +the use of polynomial basis representation for two integers $a$ and $b$ as $f(x) = \sum_{i=0}^{n} a_i x^i$ and $g(x) = \sum_{i=0}^{n} b_i x^i$ respectively, is required. In this system both $f(x)$ and $g(x)$ have $n + 1$ terms and are of the $n$'th degree. - + The product $a \cdot b \equiv f(x)g(x)$ is the polynomial $W(x) = \sum_{i=0}^{2n} w_i x^i$. The coefficients $w_i$ will directly yield the desired product when $\beta$ is substituted for $x$. The direct solution to solve for the $2n + 1$ coefficients requires $O(n^2)$ time and would in practice be slower than the Comba technique. -However, numerical analysis theory indicates that only $2n + 1$ distinct points in $W(x)$ are required to determine the values of the $2n + 1$ unknown -coefficients. This means by finding $\zeta_y = W(y)$ for $2n + 1$ small values of $y$ the coefficients of $W(x)$ can be found with -Gaussian elimination. This technique is also occasionally refered to as the \textit{interpolation technique} (\textit{references please...}) since in -effect an interpolation based on $2n + 1$ points will yield a polynomial equivalent to $W(x)$. +However, numerical analysis theory indicates that only $2n + 1$ distinct points in $W(x)$ are required to determine the values of the $2n + 1$ unknown +coefficients. This means by finding $\zeta_y = W(y)$ for $2n + 1$ small values of $y$ the coefficients of $W(x)$ can be found with +Gaussian elimination. This technique is also occasionally refered to as the \textit{interpolation technique} (\textit{references please...}) since in +effect an interpolation based on $2n + 1$ points will yield a polynomial equivalent to $W(x)$. -The coefficients of the polynomial $W(x)$ are unknown which makes finding $W(y)$ for any value of $y$ impossible. However, since -$W(x) = f(x)g(x)$ the equivalent $\zeta_y = f(y) g(y)$ can be used in its place. The benefit of this technique stems from the -fact that $f(y)$ and $g(y)$ are much smaller than either $a$ or $b$ respectively. As a result finding the $2n + 1$ relations required +The coefficients of the polynomial $W(x)$ are unknown which makes finding $W(y)$ for any value of $y$ impossible. However, since +$W(x) = f(x)g(x)$ the equivalent $\zeta_y = f(y) g(y)$ can be used in its place. The benefit of this technique stems from the +fact that $f(y)$ and $g(y)$ are much smaller than either $a$ or $b$ respectively. As a result finding the $2n + 1$ relations required by multiplying $f(y)g(y)$ involves multiplying integers that are much smaller than either of the inputs. When picking points to gather relations there are always three obvious points to choose, $y = 0, 1$ and $ \infty$. The $\zeta_0$ term -is simply the product $W(0) = w_0 = a_0 \cdot b_0$. The $\zeta_1$ term is the product +is simply the product $W(0) = w_0 = a_0 \cdot b_0$. The $\zeta_1$ term is the product $W(1) = \left (\sum_{i = 0}^{n} a_i \right ) \left (\sum_{i = 0}^{n} b_i \right )$. The third point $\zeta_{\infty}$ is less obvious but rather -simple to explain. The $2n + 1$'th coefficient of $W(x)$ is numerically equivalent to the most significant column in an integer multiplication. -The point at $\infty$ is used symbolically to represent the most significant column, that is $W(\infty) = w_{2n} = a_nb_n$. Note that the +simple to explain. The $2n + 1$'th coefficient of $W(x)$ is numerically equivalent to the most significant column in an integer multiplication. +The point at $\infty$ is used symbolically to represent the most significant column, that is $W(\infty) = w_{2n} = a_nb_n$. Note that the points at $y = 0$ and $\infty$ yield the coefficients $w_0$ and $w_{2n}$ directly. -If more points are required they should be of small values and powers of two such as $2^q$ and the related \textit{mirror points} -$\left (2^q \right )^{2n} \cdot \zeta_{2^{-q}}$ for small values of $q$. The term ``mirror point'' stems from the fact that +If more points are required they should be of small values and powers of two such as $2^q$ and the related \textit{mirror points} +$\left (2^q \right )^{2n} \cdot \zeta_{2^{-q}}$ for small values of $q$. The term ``mirror point'' stems from the fact that $\left (2^q \right )^{2n} \cdot \zeta_{2^{-q}}$ can be calculated in the exact opposite fashion as $\zeta_{2^q}$. For example, when $n = 2$ and $q = 1$ then following two equations are equivalent to the point $\zeta_{2}$ and its mirror. @@ -2709,10 +2698,10 @@ example, when $n = 2$ and $q = 1$ then following two equations are equivalent to \end{eqnarray} Using such points will allow the values of $f(y)$ and $g(y)$ to be independently calculated using only left shifts. For example, when $n = 2$ the -polynomial $f(2^q)$ is equal to $2^q((2^qa_2) + a_1) + a_0$. This technique of polynomial representation is known as Horner's method. +polynomial $f(2^q)$ is equal to $2^q((2^qa_2) + a_1) + a_0$. This technique of polynomial representation is known as Horner's method. -As a general rule of the algorithm when the inputs are split into $n$ parts each there are $2n - 1$ multiplications. Each multiplication is of -multiplicands that have $n$ times fewer digits than the inputs. The asymptotic running time of this algorithm is +As a general rule of the algorithm when the inputs are split into $n$ parts each there are $2n - 1$ multiplications. Each multiplication is of +multiplicands that have $n$ times fewer digits than the inputs. The asymptotic running time of this algorithm is $O \left ( k^{lg_n(2n - 1)} \right )$ for $k$ digit inputs (\textit{assuming they have the same number of digits}). Figure~\ref{fig:exponent} summarizes the exponents for various values of $n$. @@ -2737,23 +2726,23 @@ summarizes the exponents for various values of $n$. At first it may seem like a good idea to choose $n = 1000$ since the exponent is approximately $1.1$. However, the overhead of solving for the 2001 terms of $W(x)$ will certainly consume any savings the algorithm could offer for all but exceedingly large -numbers. +numbers. \subsubsection{Cutoff Point} -The polynomial basis multiplication algorithms all require fewer single precision multiplications than a straight Comba approach. However, +The polynomial basis multiplication algorithms all require fewer single precision multiplications than a straight Comba approach. However, the algorithms incur an overhead (\textit{at the $O(n)$ work level}) since they require a system of equations to be solved. This makes the polynomial basis approach more costly to use with small inputs. -Let $m$ represent the number of digits in the multiplicands (\textit{assume both multiplicands have the same number of digits}). There exists a -point $y$ such that when $m < y$ the polynomial basis algorithms are more costly than Comba, when $m = y$ they are roughly the same cost and -when $m > y$ the Comba methods are slower than the polynomial basis algorithms. +Let $m$ represent the number of digits in the multiplicands (\textit{assume both multiplicands have the same number of digits}). There exists a +point $y$ such that when $m < y$ the polynomial basis algorithms are more costly than Comba, when $m = y$ they are roughly the same cost and +when $m > y$ the Comba methods are slower than the polynomial basis algorithms. The exact location of $y$ depends on several key architectural elements of the computer platform in question. \begin{enumerate} \item The ratio of clock cycles for single precision multiplication versus other simpler operations such as addition, shifting, etc. For example on the AMD Athlon the ratio is roughly $17 : 1$ while on the Intel P4 it is $29 : 1$. The higher the ratio in favour of multiplication the lower -the cutoff point $y$ will be. +the cutoff point $y$ will be. \item The complexity of the linear system of equations (\textit{for the coefficients of $W(x)$}) is. Generally speaking as the number of splits grows the complexity grows substantially. Ideally solving the system will only involve addition, subtraction and shifting of integers. This @@ -2766,11 +2755,11 @@ influence over the cutoff point. A clean cutoff point separation occurs when a point $y$ is found such that all of the cutoff point conditions are met. For example, if the point is too low then there will be values of $m$ such that $m > y$ and the Comba method is still faster. Finding the cutoff points is fairly simple when -a high resolution timer is available. +a high resolution timer is available. \subsection{Karatsuba Multiplication} Karatsuba \cite{KARA} multiplication when originally proposed in 1962 was among the first set of algorithms to break the $O(n^2)$ barrier for -general purpose multiplication. Given two polynomial basis representations $f(x) = ax + b$ and $g(x) = cx + d$, Karatsuba proved with +general purpose multiplication. Given two polynomial basis representations $f(x) = ax + b$ and $g(x) = cx + d$, Karatsuba proved with light algebra \cite{KARAP} that the following polynomial is equivalent to multiplication of the two integers the polynomials represent. \begin{equation} @@ -2778,8 +2767,8 @@ f(x) \cdot g(x) = acx^2 + ((a + b)(c + d) - (ac + bd))x + bd \end{equation} Using the observation that $ac$ and $bd$ could be re-used only three half sized multiplications would be required to produce the product. Applying -this algorithm recursively, the work factor becomes $O(n^{lg(3)})$ which is substantially better than the work factor $O(n^2)$ of the Comba technique. It turns -out what Karatsuba did not know or at least did not publish was that this is simply polynomial basis multiplication with the points +this algorithm recursively, the work factor becomes $O(n^{lg(3)})$ which is substantially better than the work factor $O(n^2)$ of the Comba technique. It turns +out what Karatsuba did not know or at least did not publish was that this is simply polynomial basis multiplication with the points $\zeta_0$, $\zeta_{\infty}$ and $\zeta_{1}$. Consider the resultant system of equations. \begin{center} @@ -2792,7 +2781,7 @@ $\zeta_{\infty}$ & $=$ & $w_2$ & & & & \\ By adding the first and last equation to the equation in the middle the term $w_1$ can be isolated and all three coefficients solved for. The simplicity of this system of equations has made Karatsuba fairly popular. In fact the cutoff point is often fairly low\footnote{With LibTomMath 0.18 it is 70 and 109 digits for the Intel P4 and AMD Athlon respectively.} -making it an ideal algorithm to speed up certain public key cryptosystems such as RSA and Diffie-Hellman. +making it an ideal algorithm to speed up certain public key cryptosystems such as RSA and Diffie-Hellman. \newpage\begin{figure}[!here] \begin{small} @@ -2830,7 +2819,7 @@ Calculate the final product. \\ 18. $c \leftarrow t1 + x1y1$ \\ 19. Clear all of the temporary variables. \\ 20. Return(\textit{MP\_OKAY}).\\ -\hline +\hline \end{tabular} \end{center} \end{small} @@ -2839,13 +2828,13 @@ Calculate the final product. \\ \textbf{Algorithm mp\_karatsuba\_mul.} This algorithm computes the unsigned product of two inputs using the Karatsuba multiplication algorithm. It is loosely based on the description -from Knuth \cite[pp. 294-295]{TAOCPV2}. +from Knuth \cite[pp. 294-295]{TAOCPV2}. \index{radix point} In order to split the two inputs into their respective halves, a suitable \textit{radix point} must be chosen. The radix point chosen must -be used for both of the inputs meaning that it must be smaller than the smallest input. Step 3 chooses the radix point $B$ as half of the -smallest input \textbf{used} count. After the radix point is chosen the inputs are split into lower and upper halves. Step 4 and 5 -compute the lower halves. Step 6 and 7 computer the upper halves. +be used for both of the inputs meaning that it must be smaller than the smallest input. Step 3 chooses the radix point $B$ as half of the +smallest input \textbf{used} count. After the radix point is chosen the inputs are split into lower and upper halves. Step 4 and 5 +compute the lower halves. Step 6 and 7 computer the upper halves. After the halves have been computed the three intermediate half-size products must be computed. Step 8 and 9 compute the trivial products $x0 \cdot y0$ and $x1 \cdot y1$. The mp\_int $x0$ is used as a temporary variable after $x1 + x0$ has been computed. By using $x0$ instead @@ -2857,29 +2846,29 @@ EXAM,bn_mp_karatsuba_mul.c The new coding element in this routine, not seen in previous routines, is the usage of goto statements. The conventional wisdom is that goto statements should be avoided. This is generally true, however when every single function call can fail, it makes sense -to handle error recovery with a single piece of code. Lines @61,if@ to @75,if@ handle initializing all of the temporary variables +to handle error recovery with a single piece of code. Lines @61,if@ to @75,if@ handle initializing all of the temporary variables required. Note how each of the if statements goes to a different label in case of failure. This allows the routine to correctly free only the temporaries that have been successfully allocated so far. -The temporary variables are all initialized using the mp\_init\_size routine since they are expected to be large. This saves the +The temporary variables are all initialized using the mp\_init\_size routine since they are expected to be large. This saves the additional reallocation that would have been necessary. Also $x0$, $x1$, $y0$ and $y1$ have to be able to hold at least their respective number of digits for the next section of code. The first algebraic portion of the algorithm is to split the two inputs into their halves. However, instead of using mp\_mod\_2d and mp\_rshd -to extract the halves, the respective code has been placed inline within the body of the function. To initialize the halves, the \textbf{used} and -\textbf{sign} members are copied first. The first for loop on line @98,for@ copies the lower halves. Since they are both the same magnitude it -is simpler to calculate both lower halves in a single loop. The for loop on lines @104,for@ and @109,for@ calculate the upper halves $x1$ and +to extract the halves, the respective code has been placed inline within the body of the function. To initialize the halves, the \textbf{used} and +\textbf{sign} members are copied first. The first for loop on line @98,for@ copies the lower halves. Since they are both the same magnitude it +is simpler to calculate both lower halves in a single loop. The for loop on lines @104,for@ and @109,for@ calculate the upper halves $x1$ and $y1$ respectively. By inlining the calculation of the halves, the Karatsuba multiplier has a slightly lower overhead and can be used for smaller magnitude inputs. When line @152,err@ is reached, the algorithm has completed succesfully. The ``error status'' variable $err$ is set to \textbf{MP\_OKAY} so that -the same code that handles errors can be used to clear the temporary variables and return. +the same code that handles errors can be used to clear the temporary variables and return. \subsection{Toom-Cook $3$-Way Multiplication} -Toom-Cook $3$-Way \cite{TOOM} multiplication is essentially the polynomial basis algorithm for $n = 2$ except that the points are -chosen such that $\zeta$ is easy to compute and the resulting system of equations easy to reduce. Here, the points $\zeta_{0}$, -$16 \cdot \zeta_{1 \over 2}$, $\zeta_1$, $\zeta_2$ and $\zeta_{\infty}$ make up the five required points to solve for the coefficients +Toom-Cook $3$-Way \cite{TOOM} multiplication is essentially the polynomial basis algorithm for $n = 2$ except that the points are +chosen such that $\zeta$ is easy to compute and the resulting system of equations easy to reduce. Here, the points $\zeta_{0}$, +$16 \cdot \zeta_{1 \over 2}$, $\zeta_1$, $\zeta_2$ and $\zeta_{\infty}$ make up the five required points to solve for the coefficients of the $W(x)$. With the five relations that Toom-Cook specifies, the following system of equations is formed. @@ -2897,7 +2886,7 @@ $\zeta_{\infty}$ & $=$ & $1w_4$ & $+$ & $0w_3$ & $+$ & $0w_2$ & $+$ A trivial solution to this matrix requires $12$ subtractions, two multiplications by a small power of two, two divisions by a small power of two, two divisions by three and one multiplication by three. All of these $19$ sub-operations require less than quadratic time, meaning that the algorithm can be faster than a baseline multiplication. However, the greater complexity of this algorithm places the cutoff point -(\textbf{TOOM\_MUL\_CUTOFF}) where Toom-Cook becomes more efficient much higher than the Karatsuba cutoff point. +(\textbf{TOOM\_MUL\_CUTOFF}) where Toom-Cook becomes more efficient much higher than the Karatsuba cutoff point. \begin{figure}[!here] \begin{small} @@ -2967,7 +2956,7 @@ Now substitute $\beta^k$ for $x$ by shifting $w_0, w_1, ..., w_4$. \\ \end{figure} \textbf{Algorithm mp\_toom\_mul.} -This algorithm computes the product of two mp\_int variables $a$ and $b$ using the Toom-Cook approach. Compared to the Karatsuba multiplication, this +This algorithm computes the product of two mp\_int variables $a$ and $b$ using the Toom-Cook approach. Compared to the Karatsuba multiplication, this algorithm has a lower asymptotic running time of approximately $O(n^{1.464})$ but at an obvious cost in overhead. In this description, several statements have been compounded to save space. The intention is that the statements are executed from left to right across any given step. @@ -2979,34 +2968,34 @@ The first two relations $w_0$ and $w_4$ are the points $\zeta_{0}$ and $\zeta_{\ to the points $16 \cdot \zeta_{1 \over 2}, \zeta_{2}$ and $\zeta_{1}$ respectively. These are found using logical shifts to independently find $f(y)$ and $g(y)$ which significantly speeds up the algorithm. -After the five relations $w_0, w_1, \ldots, w_4$ have been computed, the system they represent must be solved in order for the unknown coefficients +After the five relations $w_0, w_1, \ldots, w_4$ have been computed, the system they represent must be solved in order for the unknown coefficients $w_1, w_2$ and $w_3$ to be isolated. The steps 18 through 25 perform the system reduction required as previously described. Each step of the reduction represents the comparable matrix operation that would be performed had this been performed by pencil. For example, step 18 indicates -that row $1$ must be subtracted from row $4$ and simultaneously row $0$ subtracted from row $3$. +that row $1$ must be subtracted from row $4$ and simultaneously row $0$ subtracted from row $3$. -Once the coeffients have been isolated, the polynomial $W(x) = \sum_{i=0}^{2n} w_i x^i$ is known. By substituting $\beta^{k}$ for $x$, the integer +Once the coeffients have been isolated, the polynomial $W(x) = \sum_{i=0}^{2n} w_i x^i$ is known. By substituting $\beta^{k}$ for $x$, the integer result $a \cdot b$ is produced. EXAM,bn_mp_toom_mul.c -The first obvious thing to note is that this algorithm is complicated. The complexity is worth it if you are multiplying very +The first obvious thing to note is that this algorithm is complicated. The complexity is worth it if you are multiplying very large numbers. For example, a 10,000 digit multiplication takes approximaly 99,282,205 fewer single precision multiplications with Toom--Cook than a Comba or baseline approach (this is a savings of more than 99$\%$). For most ``crypto'' sized numbers this algorithm is not practical as Karatsuba has a much lower cutoff point. -First we split $a$ and $b$ into three roughly equal portions. This has been accomplished (lines @40,mod@ to @69,rshd@) with +First we split $a$ and $b$ into three roughly equal portions. This has been accomplished (lines @40,mod@ to @69,rshd@) with combinations of mp\_rshd() and mp\_mod\_2d() function calls. At this point $a = a2 \cdot \beta^2 + a1 \cdot \beta + a0$ and similiarly -for $b$. +for $b$. Next we compute the five points $w0, w1, w2, w3$ and $w4$. Recall that $w0$ and $w4$ can be computed directly from the portions so we get those out of the way first (lines @72,mul@ and @77,mul@). Next we compute $w1, w2$ and $w3$ using Horners method. After this point we solve for the actual values of $w1, w2$ and $w3$ by reducing the $5 \times 5$ system which is relatively -straight forward. +straight forward. \subsection{Signed Multiplication} Now that algorithms to handle multiplications of every useful dimensions have been developed, a rather simple finishing touch is required. So far all -of the multiplication algorithms have been unsigned multiplications which leaves only a signed multiplication algorithm to be established. +of the multiplication algorithms have been unsigned multiplications which leaves only a signed multiplication algorithm to be established. \begin{figure}[!here] \begin{small} @@ -3040,24 +3029,24 @@ of the multiplication algorithms have been unsigned multiplications which leaves \end{figure} \textbf{Algorithm mp\_mul.} -This algorithm performs the signed multiplication of two inputs. It will make use of any of the three unsigned multiplication algorithms +This algorithm performs the signed multiplication of two inputs. It will make use of any of the three unsigned multiplication algorithms available when the input is of appropriate size. The \textbf{sign} of the result is not set until the end of the algorithm since algorithm -s\_mp\_mul\_digs will clear it. +s\_mp\_mul\_digs will clear it. EXAM,bn_mp_mul.c -The implementation is rather simplistic and is not particularly noteworthy. Line @22,?@ computes the sign of the result using the ``?'' -operator from the C programming language. Line @37,<<@ computes $\delta$ using the fact that $1 << k$ is equal to $2^k$. +The implementation is rather simplistic and is not particularly noteworthy. Line @22,?@ computes the sign of the result using the ``?'' +operator from the C programming language. Line @37,<<@ computes $\delta$ using the fact that $1 << k$ is equal to $2^k$. \section{Squaring} \label{sec:basesquare} Squaring is a special case of multiplication where both multiplicands are equal. At first it may seem like there is no significant optimization available but in fact there is. Consider the multiplication of $576$ against $241$. In total there will be nine single precision multiplications -performed which are $1\cdot 6$, $1 \cdot 7$, $1 \cdot 5$, $4 \cdot 6$, $4 \cdot 7$, $4 \cdot 5$, $2 \cdot 6$, $2 \cdot 7$ and $2 \cdot 5$. Now consider -the multiplication of $123$ against $123$. The nine products are $3 \cdot 3$, $3 \cdot 2$, $3 \cdot 1$, $2 \cdot 3$, $2 \cdot 2$, $2 \cdot 1$, -$1 \cdot 3$, $1 \cdot 2$ and $1 \cdot 1$. On closer inspection some of the products are equivalent. For example, $3 \cdot 2 = 2 \cdot 3$ -and $3 \cdot 1 = 1 \cdot 3$. +performed which are $1\cdot 6$, $1 \cdot 7$, $1 \cdot 5$, $4 \cdot 6$, $4 \cdot 7$, $4 \cdot 5$, $2 \cdot 6$, $2 \cdot 7$ and $2 \cdot 5$. Now consider +the multiplication of $123$ against $123$. The nine products are $3 \cdot 3$, $3 \cdot 2$, $3 \cdot 1$, $2 \cdot 3$, $2 \cdot 2$, $2 \cdot 1$, +$1 \cdot 3$, $1 \cdot 2$ and $1 \cdot 1$. On closer inspection some of the products are equivalent. For example, $3 \cdot 2 = 2 \cdot 3$ +and $3 \cdot 1 = 1 \cdot 3$. For any $n$-digit input, there are ${{\left (n^2 + n \right)}\over 2}$ possible unique single precision multiplications required compared to the $n^2$ required for multiplication. The following diagram gives an example of the operations required. @@ -3077,19 +3066,19 @@ $\times$ &&1&2&3&\\ MARK,SQUARE Starting from zero and numbering the columns from right to left a very simple pattern becomes obvious. For the purposes of this discussion let $x$ -represent the number being squared. The first observation is that in row $k$ the $2k$'th column of the product has a $\left (x_k \right)^2$ term in it. +represent the number being squared. The first observation is that in row $k$ the $2k$'th column of the product has a $\left (x_k \right)^2$ term in it. The second observation is that every column $j$ in row $k$ where $j \ne 2k$ is part of a double product. Every non-square term of a column will -appear twice hence the name ``double product''. Every odd column is made up entirely of double products. In fact every column is made up of double -products and at most one square (\textit{see the exercise section}). +appear twice hence the name ``double product''. Every odd column is made up entirely of double products. In fact every column is made up of double +products and at most one square (\textit{see the exercise section}). -The third and final observation is that for row $k$ the first unique non-square term, that is, one that hasn't already appeared in an earlier row, -occurs at column $2k + 1$. For example, on row $1$ of the previous squaring, column one is part of the double product with column one from row zero. +The third and final observation is that for row $k$ the first unique non-square term, that is, one that hasn't already appeared in an earlier row, +occurs at column $2k + 1$. For example, on row $1$ of the previous squaring, column one is part of the double product with column one from row zero. Column two of row one is a square and column three is the first unique column. \subsection{The Baseline Squaring Algorithm} The baseline squaring algorithm is meant to be a catch-all squaring algorithm. It will handle any of the input sizes that the faster routines -will not handle. +will not handle. \begin{figure}[!here] \begin{small} @@ -3131,30 +3120,30 @@ will not handle. \textbf{Algorithm s\_mp\_sqr.} This algorithm computes the square of an input using the three observations on squaring. It is based fairly faithfully on algorithm 14.16 of HAC -\cite[pp.596-597]{HAC}. Similar to algorithm s\_mp\_mul\_digs, a temporary mp\_int is allocated to hold the result of the squaring. This allows the +\cite[pp.596-597]{HAC}. Similar to algorithm s\_mp\_mul\_digs, a temporary mp\_int is allocated to hold the result of the squaring. This allows the destination mp\_int to be the same as the source mp\_int. The outer loop of this algorithm begins on step 4. It is best to think of the outer loop as walking down the rows of the partial results, while the inner loop computes the columns of the partial result. Step 4.1 and 4.2 compute the square term for each row, and step 4.3 and 4.4 propagate -the carry and compute the double products. +the carry and compute the double products. The requirement that a mp\_word be able to represent the range $0 \le x < 2 \beta^2$ arises from this very algorithm. The product $a_{ix}a_{iy}$ will lie in the range $0 \le x \le \beta^2 - 2\beta + 1$ which is obviously less than $\beta^2$ meaning that when it is multiplied by two, it can be properly represented by a mp\_word. -Similar to algorithm s\_mp\_mul\_digs, after every pass of the inner loop, the destination is correctly set to the sum of all of the partial -results calculated so far. This involves expensive carry propagation which will be eliminated in the next algorithm. +Similar to algorithm s\_mp\_mul\_digs, after every pass of the inner loop, the destination is correctly set to the sum of all of the partial +results calculated so far. This involves expensive carry propagation which will be eliminated in the next algorithm. EXAM,bn_s_mp_sqr.c Inside the outer loop (line @32,for@) the square term is calculated on line @35,r =@. The carry (line @42,>>@) has been -extracted from the mp\_word accumulator using a right shift. Aliases for $a_{ix}$ and $t_{ix+iy}$ are initialized +extracted from the mp\_word accumulator using a right shift. Aliases for $a_{ix}$ and $t_{ix+iy}$ are initialized (lines @45,tmpx@ and @48,tmpt@) to simplify the inner loop. The doubling is performed using two -additions (line @57,r + r@) since it is usually faster than shifting, if not at least as fast. +additions (line @57,r + r@) since it is usually faster than shifting, if not at least as fast. The important observation is that the inner loop does not begin at $iy = 0$ like for multiplication. As such the inner loops get progressively shorter as the algorithm proceeds. This is what leads to the savings compared to using a multiplication to -square a number. +square a number. \subsection{Faster Squaring by the ``Comba'' Method} A major drawback to the baseline method is the requirement for single precision shifting inside the $O(n^2)$ nested loop. Squaring has an additional @@ -3164,10 +3153,10 @@ performance hazards. The first obvious solution is to make an array of mp\_words which will hold all of the columns. This will indeed eliminate all of the carry propagation operations from the inner loop. However, the inner product must still be doubled $O(n^2)$ times. The solution stems from the simple fact that $2a + 2b + 2c = 2(a + b + c)$. That is the sum of all of the double products is equal to double the sum of all the products. For example, -$ab + ba + ac + ca = 2ab + 2ac = 2(ab + ac)$. +$ab + ba + ac + ca = 2ab + 2ac = 2(ab + ac)$. -However, we cannot simply double all of the columns, since the squares appear only once per row. The most practical solution is to have two -mp\_word arrays. One array will hold the squares and the other array will hold the double products. With both arrays the doubling and +However, we cannot simply double all of the columns, since the squares appear only once per row. The most practical solution is to have two +mp\_word arrays. One array will hold the squares and the other array will hold the double products. With both arrays the doubling and carry propagation can be moved to a $O(n)$ work level outside the $O(n^2)$ level. In this case, we have an even simpler solution in mind. \newpage\begin{figure}[!here] @@ -3205,7 +3194,7 @@ Place an array of \textbf{MP\_WARRAY} mp\_digits named $W$ on the stack. \\ 9. for $ix$ from $pa$ to $oldused - 1$ do \\ \hspace{3mm}9.1 $b_{ix} \leftarrow 0$ \\ 10. Clamp excess digits from $b$. (\textit{mp\_clamp}) \\ -11. Return(\textit{MP\_OKAY}). \\ +11. Return(\textit{MP\_OKAY}). \\ \hline \end{tabular} \end{center} @@ -3214,8 +3203,8 @@ Place an array of \textbf{MP\_WARRAY} mp\_digits named $W$ on the stack. \\ \end{figure} \textbf{Algorithm fast\_s\_mp\_sqr.} -This algorithm computes the square of an input using the Comba technique. It is designed to be a replacement for algorithm -s\_mp\_sqr when the number of input digits is less than \textbf{MP\_WARRAY} and less than $\delta \over 2$. +This algorithm computes the square of an input using the Comba technique. It is designed to be a replacement for algorithm +s\_mp\_sqr when the number of input digits is less than \textbf{MP\_WARRAY} and less than $\delta \over 2$. This algorithm is very similar to the Comba multiplier except with a few key differences we shall make note of. First, we have an accumulator and carry variables $\_ \hat W$ and $\hat W1$ respectively. This is because the inner loop @@ -3230,35 +3219,35 @@ only to even outputs and it is the square of the term at the $\lfloor ix / 2 \rf EXAM,bn_fast_s_mp_sqr.c -This implementation is essentially a copy of Comba multiplication with the appropriate changes added to make it faster for -the special case of squaring. +This implementation is essentially a copy of Comba multiplication with the appropriate changes added to make it faster for +the special case of squaring. \subsection{Polynomial Basis Squaring} The same algorithm that performs optimal polynomial basis multiplication can be used to perform polynomial basis squaring. The minor exception is that $\zeta_y = f(y)g(y)$ is actually equivalent to $\zeta_y = f(y)^2$ since $f(y) = g(y)$. Instead of performing $2n + 1$ -multiplications to find the $\zeta$ relations, squaring operations are performed instead. +multiplications to find the $\zeta$ relations, squaring operations are performed instead. \subsection{Karatsuba Squaring} -Let $f(x) = ax + b$ represent the polynomial basis representation of a number to square. -Let $h(x) = \left ( f(x) \right )^2$ represent the square of the polynomial. The Karatsuba equation can be modified to square a +Let $f(x) = ax + b$ represent the polynomial basis representation of a number to square. +Let $h(x) = \left ( f(x) \right )^2$ represent the square of the polynomial. The Karatsuba equation can be modified to square a number with the following equation. \begin{equation} h(x) = a^2x^2 + \left ((a + b)^2 - (a^2 + b^2) \right )x + b^2 \end{equation} -Upon closer inspection this equation only requires the calculation of three half-sized squares: $a^2$, $b^2$ and $(a + b)^2$. As in -Karatsuba multiplication, this algorithm can be applied recursively on the input and will achieve an asymptotic running time of +Upon closer inspection this equation only requires the calculation of three half-sized squares: $a^2$, $b^2$ and $(a + b)^2$. As in +Karatsuba multiplication, this algorithm can be applied recursively on the input and will achieve an asymptotic running time of $O \left ( n^{lg(3)} \right )$. -If the asymptotic times of Karatsuba squaring and multiplication are the same, why not simply use the multiplication algorithm -instead? The answer to this arises from the cutoff point for squaring. As in multiplication there exists a cutoff point, at which the -time required for a Comba based squaring and a Karatsuba based squaring meet. Due to the overhead inherent in the Karatsuba method, the cutoff -point is fairly high. For example, on an AMD Athlon XP processor with $\beta = 2^{28}$, the cutoff point is around 127 digits. +If the asymptotic times of Karatsuba squaring and multiplication are the same, why not simply use the multiplication algorithm +instead? The answer to this arises from the cutoff point for squaring. As in multiplication there exists a cutoff point, at which the +time required for a Comba based squaring and a Karatsuba based squaring meet. Due to the overhead inherent in the Karatsuba method, the cutoff +point is fairly high. For example, on an AMD Athlon XP processor with $\beta = 2^{28}$, the cutoff point is around 127 digits. -Consider squaring a 200 digit number with this technique. It will be split into two 100 digit halves which are subsequently squared. +Consider squaring a 200 digit number with this technique. It will be split into two 100 digit halves which are subsequently squared. The 100 digit halves will not be squared using Karatsuba, but instead using the faster Comba based squaring algorithm. If Karatsuba multiplication -were used instead, the 100 digit numbers would be squared with a slower Comba based multiplication. +were used instead, the 100 digit numbers would be squared with a slower Comba based multiplication. \newpage\begin{figure}[!here] \begin{small} @@ -3312,7 +3301,7 @@ Now if $5n$ single precision additions and a squaring of $n$-digits is faster th this method is faster. Assuming no further recursions occur, the difference can be estimated with the following inequality. Let $p$ represent the cost of a single precision addition and $q$ the cost of a single precision multiplication both in terms of time\footnote{Or -machine clock cycles.}. +machine clock cycles.}. \begin{equation} 5pn +{{q(n^2 + n)} \over 2} \le pn + qn^2 @@ -3330,27 +3319,27 @@ ${13 \over 9}$ & $<$ & $n$ \\ This results in a cutoff point around $n = 2$. As a consequence it is actually faster to compute the middle term the ``long way'' on processors where multiplication is substantially slower\footnote{On the Athlon there is a 1:17 ratio between clock cycles for addition and multiplication. On the Intel P4 processor this ratio is 1:29 making this method even more beneficial. The only common exception is the ARMv4 processor which has a -ratio of 1:7. } than simpler operations such as addition. +ratio of 1:7. } than simpler operations such as addition. EXAM,bn_mp_karatsuba_sqr.c -This implementation is largely based on the implementation of algorithm mp\_karatsuba\_mul. It uses the same inline style to copy and +This implementation is largely based on the implementation of algorithm mp\_karatsuba\_mul. It uses the same inline style to copy and shift the input into the two halves. The loop from line @54,{@ to line @70,}@ has been modified since only one input exists. The \textbf{used} count of both $x0$ and $x1$ is fixed up and $x0$ is clamped before the calculations begin. At this point $x1$ and $x0$ are valid equivalents -to the respective halves as if mp\_rshd and mp\_mod\_2d had been used. +to the respective halves as if mp\_rshd and mp\_mod\_2d had been used. By inlining the copy and shift operations the cutoff point for Karatsuba multiplication can be lowered. On the Athlon the cutoff point is exactly at the point where Comba squaring can no longer be used (\textit{128 digits}). On slower processors such as the Intel P4 it is actually below the Comba limit (\textit{at 110 digits}). -This routine uses the same error trap coding style as mp\_karatsuba\_sqr. As the temporary variables are initialized errors are -redirected to the error trap higher up. If the algorithm completes without error the error code is set to \textbf{MP\_OKAY} and +This routine uses the same error trap coding style as mp\_karatsuba\_sqr. As the temporary variables are initialized errors are +redirected to the error trap higher up. If the algorithm completes without error the error code is set to \textbf{MP\_OKAY} and mp\_clears are executed normally. \subsection{Toom-Cook Squaring} The Toom-Cook squaring algorithm mp\_toom\_sqr is heavily based on the algorithm mp\_toom\_mul with the exception that squarings are used -instead of multiplication to find the five relations. The reader is encouraged to read the description of the latter algorithm and try to -derive their own Toom-Cook squaring algorithm. +instead of multiplication to find the five relations. The reader is encouraged to read the description of the latter algorithm and try to +derive their own Toom-Cook squaring algorithm. \subsection{High Level Squaring} \newpage\begin{figure}[!here] @@ -3383,7 +3372,7 @@ derive their own Toom-Cook squaring algorithm. \textbf{Algorithm mp\_sqr.} This algorithm computes the square of the input using one of four different algorithms. If the input is very large and has at least \textbf{TOOM\_SQR\_CUTOFF} or \textbf{KARATSUBA\_SQR\_CUTOFF} digits then either the Toom-Cook or the Karatsuba Squaring algorithm is used. If -neither of the polynomial basis algorithms should be used then either the Comba or baseline algorithm is used. +neither of the polynomial basis algorithms should be used then either the Comba or baseline algorithm is used. EXAM,bn_mp_sqr.c @@ -3394,11 +3383,11 @@ $\left [ 3 \right ] $ & Devise an efficient algorithm for selection of the radix & \\ $\left [ 2 \right ] $ & In ~SQUARE~ the fact that every column of a squaring is made up \\ & of double products and at most one square is stated. Prove this statement. \\ - & \\ + & \\ $\left [ 3 \right ] $ & Prove the equation for Karatsuba squaring. \\ & \\ $\left [ 1 \right ] $ & Prove that Karatsuba squaring requires $O \left (n^{lg(3)} \right )$ time. \\ - & \\ + & \\ $\left [ 2 \right ] $ & Determine the minimal ratio between addition and multiplication clock cycles \\ & required for equation $6.7$ to be true. \\ & \\ @@ -3416,61 +3405,61 @@ $\left [ 4 \right ] $ & Same as the previous but also modify the Karatsuba and T MARK,REDUCTION \section{Basics of Modular Reduction} \index{modular residue} -Modular reduction is an operation that arises quite often within public key cryptography algorithms and various number theoretic algorithms, +Modular reduction is an operation that arises quite often within public key cryptography algorithms and various number theoretic algorithms, such as factoring. Modular reduction algorithms are the third class of algorithms of the ``multipliers'' set. A number $a$ is said to be \textit{reduced} -modulo another number $b$ by finding the remainder of the division $a/b$. Full integer division with remainder is a topic to be covered +modulo another number $b$ by finding the remainder of the division $a/b$. Full integer division with remainder is a topic to be covered in~\ref{sec:division}. -Modular reduction is equivalent to solving for $r$ in the following equation. $a = bq + r$ where $q = \lfloor a/b \rfloor$. The result -$r$ is said to be ``congruent to $a$ modulo $b$'' which is also written as $r \equiv a \mbox{ (mod }b\mbox{)}$. In other vernacular $r$ is known as the +Modular reduction is equivalent to solving for $r$ in the following equation. $a = bq + r$ where $q = \lfloor a/b \rfloor$. The result +$r$ is said to be ``congruent to $a$ modulo $b$'' which is also written as $r \equiv a \mbox{ (mod }b\mbox{)}$. In other vernacular $r$ is known as the ``modular residue'' which leads to ``quadratic residue''\footnote{That's fancy talk for $b \equiv a^2 \mbox{ (mod }p\mbox{)}$.} and -other forms of residues. +other forms of residues. -Modular reductions are normally used to create either finite groups, rings or fields. The most common usage for performance driven modular reductions -is in modular exponentiation algorithms. That is to compute $d = a^b \mbox{ (mod }c\mbox{)}$ as fast as possible. This operation is used in the -RSA and Diffie-Hellman public key algorithms, for example. Modular multiplication and squaring also appears as a fundamental operation in -elliptic curve cryptographic algorithms. As will be discussed in the subsequent chapter there exist fast algorithms for computing modular -exponentiations without having to perform (\textit{in this example}) $b - 1$ multiplications. These algorithms will produce partial results in the -range $0 \le x < c^2$ which can be taken advantage of to create several efficient algorithms. They have also been used to create redundancy check -algorithms known as CRCs, error correction codes such as Reed-Solomon and solve a variety of number theoeretic problems. +Modular reductions are normally used to create either finite groups, rings or fields. The most common usage for performance driven modular reductions +is in modular exponentiation algorithms. That is to compute $d = a^b \mbox{ (mod }c\mbox{)}$ as fast as possible. This operation is used in the +RSA and Diffie-Hellman public key algorithms, for example. Modular multiplication and squaring also appears as a fundamental operation in +elliptic curve cryptographic algorithms. As will be discussed in the subsequent chapter there exist fast algorithms for computing modular +exponentiations without having to perform (\textit{in this example}) $b - 1$ multiplications. These algorithms will produce partial results in the +range $0 \le x < c^2$ which can be taken advantage of to create several efficient algorithms. They have also been used to create redundancy check +algorithms known as CRCs, error correction codes such as Reed-Solomon and solve a variety of number theoeretic problems. \section{The Barrett Reduction} The Barrett reduction algorithm \cite{BARRETT} was inspired by fast division algorithms which multiply by the reciprocal to emulate -division. Barretts observation was that the residue $c$ of $a$ modulo $b$ is equal to +division. Barretts observation was that the residue $c$ of $a$ modulo $b$ is equal to \begin{equation} c = a - b \cdot \lfloor a/b \rfloor \end{equation} -Since algorithms such as modular exponentiation would be using the same modulus extensively, typical DSP\footnote{It is worth noting that Barrett's paper -targeted the DSP56K processor.} intuition would indicate the next step would be to replace $a/b$ by a multiplication by the reciprocal. However, -DSP intuition on its own will not work as these numbers are considerably larger than the precision of common DSP floating point data types. +Since algorithms such as modular exponentiation would be using the same modulus extensively, typical DSP\footnote{It is worth noting that Barrett's paper +targeted the DSP56K processor.} intuition would indicate the next step would be to replace $a/b$ by a multiplication by the reciprocal. However, +DSP intuition on its own will not work as these numbers are considerably larger than the precision of common DSP floating point data types. It would take another common optimization to optimize the algorithm. \subsection{Fixed Point Arithmetic} The trick used to optimize the above equation is based on a technique of emulating floating point data types with fixed precision integers. Fixed -point arithmetic would become very popular as it greatly optimize the ``3d-shooter'' genre of games in the mid 1990s when floating point units were -fairly slow if not unavailable. The idea behind fixed point arithmetic is to take a normal $k$-bit integer data type and break it into $p$-bit -integer and a $q$-bit fraction part (\textit{where $p+q = k$}). +point arithmetic would become very popular as it greatly optimize the ``3d-shooter'' genre of games in the mid 1990s when floating point units were +fairly slow if not unavailable. The idea behind fixed point arithmetic is to take a normal $k$-bit integer data type and break it into $p$-bit +integer and a $q$-bit fraction part (\textit{where $p+q = k$}). In this system a $k$-bit integer $n$ would actually represent $n/2^q$. For example, with $q = 4$ the integer $n = 37$ would actually represent the -value $2.3125$. To multiply two fixed point numbers the integers are multiplied using traditional arithmetic and subsequently normalized by -moving the implied decimal point back to where it should be. For example, with $q = 4$ to multiply the integers $9$ and $5$ they must be converted -to fixed point first by multiplying by $2^q$. Let $a = 9(2^q)$ represent the fixed point representation of $9$ and $b = 5(2^q)$ represent the -fixed point representation of $5$. The product $ab$ is equal to $45(2^{2q})$ which when normalized by dividing by $2^q$ produces $45(2^q)$. +value $2.3125$. To multiply two fixed point numbers the integers are multiplied using traditional arithmetic and subsequently normalized by +moving the implied decimal point back to where it should be. For example, with $q = 4$ to multiply the integers $9$ and $5$ they must be converted +to fixed point first by multiplying by $2^q$. Let $a = 9(2^q)$ represent the fixed point representation of $9$ and $b = 5(2^q)$ represent the +fixed point representation of $5$. The product $ab$ is equal to $45(2^{2q})$ which when normalized by dividing by $2^q$ produces $45(2^q)$. This technique became popular since a normal integer multiplication and logical shift right are the only required operations to perform a multiplication -of two fixed point numbers. Using fixed point arithmetic, division can be easily approximated by multiplying by the reciprocal. If $2^q$ is -equivalent to one than $2^q/b$ is equivalent to the fixed point approximation of $1/b$ using real arithmetic. Using this fact dividing an integer +of two fixed point numbers. Using fixed point arithmetic, division can be easily approximated by multiplying by the reciprocal. If $2^q$ is +equivalent to one than $2^q/b$ is equivalent to the fixed point approximation of $1/b$ using real arithmetic. Using this fact dividing an integer $a$ by another integer $b$ can be achieved with the following expression. \begin{equation} \lfloor a / b \rfloor \mbox{ }\approx\mbox{ } \lfloor (a \cdot \lfloor 2^q / b \rfloor)/2^q \rfloor \end{equation} -The precision of the division is proportional to the value of $q$. If the divisor $b$ is used frequently as is the case with +The precision of the division is proportional to the value of $q$. If the divisor $b$ is used frequently as is the case with modular exponentiation pre-computing $2^q/b$ will allow a division to be performed with a multiplication and a right shift. Both operations -are considerably faster than division on most processors. +are considerably faster than division on most processors. Consider dividing $19$ by $5$. The correct result is $\lfloor 19/5 \rfloor = 3$. With $q = 3$ the reciprocal is $\lfloor 2^q/5 \rfloor = 1$ which leads to a product of $19$ which when divided by $2^q$ produces $2$. However, with $q = 4$ the reciprocal is $\lfloor 2^q/5 \rfloor = 3$ and @@ -3491,11 +3480,11 @@ c = a - b \cdot \lfloor (a \cdot \mu)/2^q \rfloor Provided that $2^q \ge a$ this algorithm will produce a quotient that is either exactly correct or off by a value of one. In the context of Barrett reduction the value of $a$ is bound by $0 \le a \le (b - 1)^2$ meaning that $2^q \ge b^2$ is sufficient to ensure the reciprocal will have enough -precision. +precision. -Let $n$ represent the number of digits in $b$. This algorithm requires approximately $2n^2$ single precision multiplications to produce the quotient and -another $n^2$ single precision multiplications to find the residue. In total $3n^2$ single precision multiplications are required to -reduce the number. +Let $n$ represent the number of digits in $b$. This algorithm requires approximately $2n^2$ single precision multiplications to produce the quotient and +another $n^2$ single precision multiplications to find the residue. In total $3n^2$ single precision multiplications are required to +reduce the number. For example, if $b = 1179677$ and $q = 41$ ($2^q > b^2$), then the reciprocal $\mu$ is equal to $\lfloor 2^q / b \rfloor = 1864089$. Consider reducing $a = 180388626447$ modulo $b$ using the above reduction equation. The quotient using the new formula is $\lfloor (a \cdot \mu) / 2^q \rfloor = 152913$. @@ -3503,19 +3492,19 @@ By subtracting $152913b$ from $a$ the correct residue $a \equiv 677346 \mbox{ (m \subsection{Choosing a Radix Point} Using the fixed point representation a modular reduction can be performed with $3n^2$ single precision multiplications. If that were the best -that could be achieved a full division\footnote{A division requires approximately $O(2cn^2)$ single precision multiplications for a small value of $c$. +that could be achieved a full division\footnote{A division requires approximately $O(2cn^2)$ single precision multiplications for a small value of $c$. See~\ref{sec:division} for further details.} might as well be used in its place. The key to optimizing the reduction is to reduce the precision of -the initial multiplication that finds the quotient. +the initial multiplication that finds the quotient. Let $a$ represent the number of which the residue is sought. Let $b$ represent the modulus used to find the residue. Let $m$ represent -the number of digits in $b$. For the purposes of this discussion we will assume that the number of digits in $a$ is $2m$, which is generally true if -two $m$-digit numbers have been multiplied. Dividing $a$ by $b$ is the same as dividing a $2m$ digit integer by a $m$ digit integer. Digits below the +the number of digits in $b$. For the purposes of this discussion we will assume that the number of digits in $a$ is $2m$, which is generally true if +two $m$-digit numbers have been multiplied. Dividing $a$ by $b$ is the same as dividing a $2m$ digit integer by a $m$ digit integer. Digits below the $m - 1$'th digit of $a$ will contribute at most a value of $1$ to the quotient because $\beta^k < b$ for any $0 \le k \le m - 1$. Another way to -express this is by re-writing $a$ as two parts. If $a' \equiv a \mbox{ (mod }b^m\mbox{)}$ and $a'' = a - a'$ then +express this is by re-writing $a$ as two parts. If $a' \equiv a \mbox{ (mod }b^m\mbox{)}$ and $a'' = a - a'$ then ${a \over b} \equiv {{a' + a''} \over b}$ which is equivalent to ${a' \over b} + {a'' \over b}$. Since $a'$ is bound to be less than $b$ the quotient is bound by $0 \le {a' \over b} < 1$. -Since the digits of $a'$ do not contribute much to the quotient the observation is that they might as well be zero. However, if the digits +Since the digits of $a'$ do not contribute much to the quotient the observation is that they might as well be zero. However, if the digits ``might as well be zero'' they might as well not be there in the first place. Let $q_0 = \lfloor a/\beta^{m-1} \rfloor$ represent the input with the irrelevant digits trimmed. Now the modular reduction is trimmed to the almost equivalent equation @@ -3523,52 +3512,52 @@ with the irrelevant digits trimmed. Now the modular reduction is trimmed to the c = a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor \end{equation} -Note that the original divisor $2^q$ has been replaced with $\beta^{m+1}$ where in this case $q$ is a multiple of $lg(\beta)$. Also note that the -exponent on the divisor when added to the amount $q_0$ was shifted by equals $2m$. If the optimization had not been performed the divisor -would have the exponent $2m$ so in the end the exponents do ``add up''. Using the above equation the quotient +Note that the original divisor $2^q$ has been replaced with $\beta^{m+1}$ where in this case $q$ is a multiple of $lg(\beta)$. Also note that the +exponent on the divisor when added to the amount $q_0$ was shifted by equals $2m$. If the optimization had not been performed the divisor +would have the exponent $2m$ so in the end the exponents do ``add up''. Using the above equation the quotient $\lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ can be off from the true quotient by at most two. The original fixed point quotient can be off by as much as one (\textit{provided the radix point is chosen suitably}) and now that the lower irrelevent digits have been trimmed the quotient -can be off by an additional value of one for a total of at most two. This implies that -$0 \le a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor < 3b$. By first subtracting $b$ times the quotient and then conditionally subtracting +can be off by an additional value of one for a total of at most two. This implies that +$0 \le a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor < 3b$. By first subtracting $b$ times the quotient and then conditionally subtracting $b$ once or twice the residue is found. The quotient is now found using $(m + 1)(m) = m^2 + m$ single precision multiplications and the residue with an additional $m^2$ single -precision multiplications, ignoring the subtractions required. In total $2m^2 + m$ single precision multiplications are required to find the residue. +precision multiplications, ignoring the subtractions required. In total $2m^2 + m$ single precision multiplications are required to find the residue. This is considerably faster than the original attempt. -For example, let $\beta = 10$ represent the radix of the digits. Let $b = 9999$ represent the modulus which implies $m = 4$. Let $a = 99929878$ -represent the value of which the residue is desired. In this case $q = 8$ since $10^7 < 9999^2$ meaning that $\mu = \lfloor \beta^{q}/b \rfloor = 10001$. -With the new observation the multiplicand for the quotient is equal to $q_0 = \lfloor a / \beta^{m - 1} \rfloor = 99929$. The quotient is then -$\lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor = 9993$. Subtracting $9993b$ from $a$ and the correct residue $a \equiv 9871 \mbox{ (mod }b\mbox{)}$ -is found. +For example, let $\beta = 10$ represent the radix of the digits. Let $b = 9999$ represent the modulus which implies $m = 4$. Let $a = 99929878$ +represent the value of which the residue is desired. In this case $q = 8$ since $10^7 < 9999^2$ meaning that $\mu = \lfloor \beta^{q}/b \rfloor = 10001$. +With the new observation the multiplicand for the quotient is equal to $q_0 = \lfloor a / \beta^{m - 1} \rfloor = 99929$. The quotient is then +$\lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor = 9993$. Subtracting $9993b$ from $a$ and the correct residue $a \equiv 9871 \mbox{ (mod }b\mbox{)}$ +is found. \subsection{Trimming the Quotient} -So far the reduction algorithm has been optimized from $3m^2$ single precision multiplications down to $2m^2 + m$ single precision multiplications. As +So far the reduction algorithm has been optimized from $3m^2$ single precision multiplications down to $2m^2 + m$ single precision multiplications. As it stands now the algorithm is already fairly fast compared to a full integer division algorithm. However, there is still room for -optimization. +optimization. After the first multiplication inside the quotient ($q_0 \cdot \mu$) the value is shifted right by $m + 1$ places effectively nullifying the lower -half of the product. It would be nice to be able to remove those digits from the product to effectively cut down the number of single precision -multiplications. If the number of digits in the modulus $m$ is far less than $\beta$ a full product is not required for the algorithm to work properly. -In fact the lower $m - 2$ digits will not affect the upper half of the product at all and do not need to be computed. +half of the product. It would be nice to be able to remove those digits from the product to effectively cut down the number of single precision +multiplications. If the number of digits in the modulus $m$ is far less than $\beta$ a full product is not required for the algorithm to work properly. +In fact the lower $m - 2$ digits will not affect the upper half of the product at all and do not need to be computed. The value of $\mu$ is a $m$-digit number and $q_0$ is a $m + 1$ digit number. Using a full multiplier $(m + 1)(m) = m^2 + m$ single precision multiplications would be required. Using a multiplier that will only produce digits at and above the $m - 1$'th digit reduces the number -of single precision multiplications to ${m^2 + m} \over 2$ single precision multiplications. +of single precision multiplications to ${m^2 + m} \over 2$ single precision multiplications. \subsection{Trimming the Residue} After the quotient has been calculated it is used to reduce the input. As previously noted the algorithm is not exact and it can be off by a small -multiple of the modulus, that is $0 \le a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor < 3b$. If $b$ is $m$ digits than the +multiple of the modulus, that is $0 \le a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor < 3b$. If $b$ is $m$ digits than the result of reduction equation is a value of at most $m + 1$ digits (\textit{provided $3 < \beta$}) implying that the upper $m - 1$ digits are -implicitly zero. +implicitly zero. The next optimization arises from this very fact. Instead of computing $b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ using a full $O(m^2)$ multiplication algorithm only the lower $m+1$ digits of the product have to be computed. Similarly the value of $a$ can -be reduced modulo $\beta^{m+1}$ before the multiple of $b$ is subtracted which simplifes the subtraction as well. A multiplication that produces -only the lower $m+1$ digits requires ${m^2 + 3m - 2} \over 2$ single precision multiplications. +be reduced modulo $\beta^{m+1}$ before the multiple of $b$ is subtracted which simplifes the subtraction as well. A multiplication that produces +only the lower $m+1$ digits requires ${m^2 + 3m - 2} \over 2$ single precision multiplications. With both optimizations in place the algorithm is the algorithm Barrett proposed. It requires $m^2 + 2m - 1$ single precision multiplications which -is considerably faster than the straightforward $3m^2$ method. +is considerably faster than the straightforward $3m^2$ method. \subsection{The Barrett Algorithm} \newpage\begin{figure}[!here] @@ -3612,26 +3601,26 @@ Now subtract the modulus if the residue is too large (e.g. quotient too small). \textbf{Algorithm mp\_reduce.} This algorithm will reduce the input $a$ modulo $b$ in place using the Barrett algorithm. It is loosely based on algorithm 14.42 of HAC -\cite[pp. 602]{HAC} which is based on the paper from Paul Barrett \cite{BARRETT}. The algorithm has several restrictions and assumptions which must +\cite[pp. 602]{HAC} which is based on the paper from Paul Barrett \cite{BARRETT}. The algorithm has several restrictions and assumptions which must be adhered to for the algorithm to work. First the modulus $b$ is assumed to be positive and greater than one. If the modulus were less than or equal to one than subtracting a multiple of it would either accomplish nothing or actually enlarge the input. The input $a$ must be in the range $0 \le a < b^2$ in order for the quotient to have enough precision. If $a$ is the product of two numbers that were already reduced modulo $b$, this will not be a problem. -Technically the algorithm will still work if $a \ge b^2$ but it will take much longer to finish. The value of $\mu$ is passed as an argument to this -algorithm and is assumed to be calculated and stored before the algorithm is used. +Technically the algorithm will still work if $a \ge b^2$ but it will take much longer to finish. The value of $\mu$ is passed as an argument to this +algorithm and is assumed to be calculated and stored before the algorithm is used. -Recall that the multiplication for the quotient on step 3 must only produce digits at or above the $m-1$'th position. An algorithm called +Recall that the multiplication for the quotient on step 3 must only produce digits at or above the $m-1$'th position. An algorithm called $s\_mp\_mul\_high\_digs$ which has not been presented is used to accomplish this task. The algorithm is based on $s\_mp\_mul\_digs$ except that instead of stopping at a given level of precision it starts at a given level of precision. This optimal algorithm can only be used if the number -of digits in $b$ is very much smaller than $\beta$. +of digits in $b$ is very much smaller than $\beta$. -While it is known that -$a \ge b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ only the lower $m+1$ digits are being used to compute the residue, so an implied -``borrow'' from the higher digits might leave a negative result. After the multiple of the modulus has been subtracted from $a$ the residue must be -fixed up in case it is negative. The invariant $\beta^{m+1}$ must be added to the residue to make it positive again. +While it is known that +$a \ge b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ only the lower $m+1$ digits are being used to compute the residue, so an implied +``borrow'' from the higher digits might leave a negative result. After the multiple of the modulus has been subtracted from $a$ the residue must be +fixed up in case it is negative. The invariant $\beta^{m+1}$ must be added to the residue to make it positive again. -The while loop at step 9 will subtract $b$ until the residue is less than $b$. If the algorithm is performed correctly this step is +The while loop at step 9 will subtract $b$ until the residue is less than $b$. If the algorithm is performed correctly this step is performed at most twice, and on average once. However, if $a \ge b^2$ than it will iterate substantially more times than it should. EXAM,bn_mp_reduce.c @@ -3639,11 +3628,11 @@ EXAM,bn_mp_reduce.c The first multiplication that determines the quotient can be performed by only producing the digits from $m - 1$ and up. This essentially halves the number of single precision multiplications required. However, the optimization is only safe if $\beta$ is much larger than the number of digits in the modulus. In the source code this is evaluated on lines @36,if@ to @44,}@ where algorithm s\_mp\_mul\_high\_digs is used when it is -safe to do so. +safe to do so. \subsection{The Barrett Setup Algorithm} In order to use algorithm mp\_reduce the value of $\mu$ must be calculated in advance. Ideally this value should be computed once and stored for -future use so that the Barrett algorithm can be used without delay. +future use so that the Barrett algorithm can be used without delay. \newpage\begin{figure}[!here] \begin{small} @@ -3670,24 +3659,24 @@ is equivalent and much faster. The final value is computed by taking the intege EXAM,bn_mp_reduce_setup.c This simple routine calculates the reciprocal $\mu$ required by Barrett reduction. Note the extended usage of algorithm mp\_div where the variable -which would received the remainder is passed as NULL. As will be discussed in~\ref{sec:division} the division routine allows both the quotient and the -remainder to be passed as NULL meaning to ignore the value. +which would received the remainder is passed as NULL. As will be discussed in~\ref{sec:division} the division routine allows both the quotient and the +remainder to be passed as NULL meaning to ignore the value. \section{The Montgomery Reduction} -Montgomery reduction\footnote{Thanks to Niels Ferguson for his insightful explanation of the algorithm.} \cite{MONT} is by far the most interesting -form of reduction in common use. It computes a modular residue which is not actually equal to the residue of the input yet instead equal to a -residue times a constant. However, as perplexing as this may sound the algorithm is relatively simple and very efficient. +Montgomery reduction\footnote{Thanks to Niels Ferguson for his insightful explanation of the algorithm.} \cite{MONT} is by far the most interesting +form of reduction in common use. It computes a modular residue which is not actually equal to the residue of the input yet instead equal to a +residue times a constant. However, as perplexing as this may sound the algorithm is relatively simple and very efficient. Throughout this entire section the variable $n$ will represent the modulus used to form the residue. As will be discussed shortly the value of $n$ must be odd. The variable $x$ will represent the quantity of which the residue is sought. Similar to the Barrett algorithm the input is restricted to $0 \le x < n^2$. To begin the description some simple number theory facts must be established. \textbf{Fact 1.} Adding $n$ to $x$ does not change the residue since in effect it adds one to the quotient $\lfloor x / n \rfloor$. Another way -to explain this is that $n$ is (\textit{or multiples of $n$ are}) congruent to zero modulo $n$. Adding zero will not change the value of the residue. +to explain this is that $n$ is (\textit{or multiples of $n$ are}) congruent to zero modulo $n$. Adding zero will not change the value of the residue. \textbf{Fact 2.} If $x$ is even then performing a division by two in $\Z$ is congruent to $x \cdot 2^{-1} \mbox{ (mod }n\mbox{)}$. Actually -this is an application of the fact that if $x$ is evenly divisible by any $k \in \Z$ then division in $\Z$ will be congruent to -multiplication by $k^{-1}$ modulo $n$. +this is an application of the fact that if $x$ is evenly divisible by any $k \in \Z$ then division in $\Z$ will be congruent to +multiplication by $k^{-1}$ modulo $n$. From these two simple facts the following simple algorithm can be derived. @@ -3713,8 +3702,8 @@ From these two simple facts the following simple algorithm can be derived. The algorithm reduces the input one bit at a time using the two congruencies stated previously. Inside the loop $n$, which is odd, is added to $x$ if $x$ is odd. This forces $x$ to be even which allows the division by two in $\Z$ to be congruent to a modular division by two. Since -$x$ is assumed to be initially much larger than $n$ the addition of $n$ will contribute an insignificant magnitude to $x$. Let $r$ represent the -final result of the Montgomery algorithm. If $k > lg(n)$ and $0 \le x < n^2$ then the final result is limited to +$x$ is assumed to be initially much larger than $n$ the addition of $n$ will contribute an insignificant magnitude to $x$. Let $r$ represent the +final result of the Montgomery algorithm. If $k > lg(n)$ and $0 \le x < n^2$ then the final result is limited to $0 \le r < \lfloor x/2^k \rfloor + n$. As a result at most a single subtraction is required to get the residue desired. \begin{figure}[here] @@ -3739,12 +3728,12 @@ $0 \le r < \lfloor x/2^k \rfloor + n$. As a result at most a single subtraction \label{fig:MONT1} \end{figure} -Consider the example in figure~\ref{fig:MONT1} which reduces $x = 5555$ modulo $n = 257$ when $k = 9$ (note $\beta^k = 512$ which is larger than $n$). The result of -the algorithm $r = 178$ is congruent to the value of $2^{-9} \cdot 5555 \mbox{ (mod }257\mbox{)}$. When $r$ is multiplied by $2^9$ modulo $257$ the correct residue -$r \equiv 158$ is produced. +Consider the example in figure~\ref{fig:MONT1} which reduces $x = 5555$ modulo $n = 257$ when $k = 9$ (note $\beta^k = 512$ which is larger than $n$). The result of +the algorithm $r = 178$ is congruent to the value of $2^{-9} \cdot 5555 \mbox{ (mod }257\mbox{)}$. When $r$ is multiplied by $2^9$ modulo $257$ the correct residue +$r \equiv 158$ is produced. Let $k = \lfloor lg(n) \rfloor + 1$ represent the number of bits in $n$. The current algorithm requires $2k^2$ single precision shifts -and $k^2$ single precision additions. At this rate the algorithm is most certainly slower than Barrett reduction and not terribly useful. +and $k^2$ single precision additions. At this rate the algorithm is most certainly slower than Barrett reduction and not terribly useful. Fortunately there exists an alternative representation of the algorithm. \begin{figure}[!here] @@ -3793,10 +3782,10 @@ precision shifts has now been reduced from $2k^2$ to $k^2 + k$ which is only a s \label{fig:MONT2} \end{figure} -Figure~\ref{fig:MONT2} demonstrates the modified algorithm reducing $x = 5555$ modulo $n = 257$ with $k = 9$. -With this algorithm a single shift right at the end is the only right shift required to reduce the input instead of $k$ right shifts inside the -loop. Note that for the iterations $t = 2, 5, 6$ and $8$ where the result $x$ is not changed. In those iterations the $t$'th bit of $x$ is -zero and the appropriate multiple of $n$ does not need to be added to force the $t$'th bit of the result to zero. +Figure~\ref{fig:MONT2} demonstrates the modified algorithm reducing $x = 5555$ modulo $n = 257$ with $k = 9$. +With this algorithm a single shift right at the end is the only right shift required to reduce the input instead of $k$ right shifts inside the +loop. Note that for the iterations $t = 2, 5, 6$ and $8$ where the result $x$ is not changed. In those iterations the $t$'th bit of $x$ is +zero and the appropriate multiple of $n$ does not need to be added to force the $t$'th bit of the result to zero. \subsection{Digit Based Montgomery Reduction} Instead of computing the reduction on a bit-by-bit basis it is actually much faster to compute it on digit-by-digit basis. Consider the @@ -3820,9 +3809,9 @@ previous algorithm re-written to compute the Montgomery reduction in this new fa \caption{Algorithm Montgomery Reduction (modified II)} \end{figure} -The value $\mu n \beta^t$ is a multiple of the modulus $n$ meaning that it will not change the residue. If the first digit of +The value $\mu n \beta^t$ is a multiple of the modulus $n$ meaning that it will not change the residue. If the first digit of the value $\mu n \beta^t$ equals the negative (modulo $\beta$) of the $t$'th digit of $x$ then the addition will result in a zero digit. This -problem breaks down to solving the following congruency. +problem breaks down to solving the following congruency. \begin{center} \begin{tabular}{rcl} @@ -3832,10 +3821,10 @@ $\mu$ & $\equiv$ & $-x_t/n_0 \mbox{ (mod }\beta\mbox{)}$ \\ \end{tabular} \end{center} -In each iteration of the loop on step 1 a new value of $\mu$ must be calculated. The value of $-1/n_0 \mbox{ (mod }\beta\mbox{)}$ is used -extensively in this algorithm and should be precomputed. Let $\rho$ represent the negative of the modular inverse of $n_0$ modulo $\beta$. +In each iteration of the loop on step 1 a new value of $\mu$ must be calculated. The value of $-1/n_0 \mbox{ (mod }\beta\mbox{)}$ is used +extensively in this algorithm and should be precomputed. Let $\rho$ represent the negative of the modular inverse of $n_0$ modulo $\beta$. -For example, let $\beta = 10$ represent the radix. Let $n = 17$ represent the modulus which implies $k = 2$ and $\rho \equiv 7$. Let $x = 33$ +For example, let $\beta = 10$ represent the radix. Let $n = 17$ represent the modulus which implies $k = 2$ and $\rho \equiv 7$. Let $x = 33$ represent the value to reduce. \newpage\begin{figure} @@ -3851,14 +3840,14 @@ represent the value to reduce. \caption{Example of Montgomery Reduction} \end{figure} -The final result $900$ is then divided by $\beta^k$ to produce the final result $9$. The first observation is that $9 \nequiv x \mbox{ (mod }n\mbox{)}$ +The final result $900$ is then divided by $\beta^k$ to produce the final result $9$. The first observation is that $9 \nequiv x \mbox{ (mod }n\mbox{)}$ which implies the result is not the modular residue of $x$ modulo $n$. However, recall that the residue is actually multiplied by $\beta^{-k}$ in the algorithm. To get the true residue the value must be multiplied by $\beta^k$. In this case $\beta^k \equiv 15 \mbox{ (mod }n\mbox{)}$ and -the correct residue is $9 \cdot 15 \equiv 16 \mbox{ (mod }n\mbox{)}$. +the correct residue is $9 \cdot 15 \equiv 16 \mbox{ (mod }n\mbox{)}$. \subsection{Baseline Montgomery Reduction} -The baseline Montgomery reduction algorithm will produce the residue for any size input. It is designed to be a catch-all algororithm for -Montgomery reductions. +The baseline Montgomery reduction algorithm will produce the residue for any size input. It is designed to be a catch-all algororithm for +Montgomery reductions. \newpage\begin{figure}[!here] \begin{small} @@ -3906,9 +3895,9 @@ Divide by $\beta^k$ and fix up as required. \\ \textbf{Algorithm mp\_montgomery\_reduce.} This algorithm reduces the input $x$ modulo $n$ in place using the Montgomery reduction algorithm. The algorithm is loosely based on algorithm 14.32 of \cite[pp.601]{HAC} except it merges the multiplication of $\mu n \beta^t$ with the addition in the inner loop. The -restrictions on this algorithm are fairly easy to adapt to. First $0 \le x < n^2$ bounds the input to numbers in the same range as +restrictions on this algorithm are fairly easy to adapt to. First $0 \le x < n^2$ bounds the input to numbers in the same range as for the Barrett algorithm. Additionally if $n > 1$ and $n$ is odd there will exist a modular inverse $\rho$. $\rho$ must be calculated in -advance of this algorithm. Finally the variable $k$ is fixed and a pseudonym for $n.used$. +advance of this algorithm. Finally the variable $k$ is fixed and a pseudonym for $n.used$. Step 2 decides whether a faster Montgomery algorithm can be used. It is based on the Comba technique meaning that there are limits on the size of the input. This algorithm is discussed in ~COMBARED~. @@ -3917,17 +3906,17 @@ Step 5 is the main reduction loop of the algorithm. The value of $\mu$ is calcu calculates $x + \mu n \beta^{ix}$ by multiplying $\mu n$ and adding the result to $x$ shifted by $ix$ digits. Both the addition and multiplication are performed in the same loop to save time and memory. Step 5.4 will handle any additional carries that escape the inner loop. -Using a quick inspection this algorithm requires $n$ single precision multiplications for the outer loop and $n^2$ single precision multiplications +Using a quick inspection this algorithm requires $n$ single precision multiplications for the outer loop and $n^2$ single precision multiplications in the inner loop. In total $n^2 + n$ single precision multiplications which compares favourably to Barrett at $n^2 + 2n - 1$ single precision -multiplications. +multiplications. EXAM,bn_mp_montgomery_reduce.c This is the baseline implementation of the Montgomery reduction algorithm. Lines @30,digs@ to @35,}@ determine if the Comba based -routine can be used instead. Line @47,mu@ computes the value of $\mu$ for that particular iteration of the outer loop. +routine can be used instead. Line @47,mu@ computes the value of $\mu$ for that particular iteration of the outer loop. The multiplication $\mu n \beta^{ix}$ is performed in one step in the inner loop. The alias $tmpx$ refers to the $ix$'th digit of $x$ and -the alias $tmpn$ refers to the modulus $n$. +the alias $tmpn$ refers to the modulus $n$. \subsection{Faster ``Comba'' Montgomery Reduction} MARK,COMBARED @@ -3935,14 +3924,14 @@ MARK,COMBARED The Montgomery reduction requires fewer single precision multiplications than a Barrett reduction, however it is much slower due to the serial nature of the inner loop. The Barrett reduction algorithm requires two slightly modified multipliers which can be implemented with the Comba technique. The Montgomery reduction algorithm cannot directly use the Comba technique to any significant advantage since the inner loop calculates -a $k \times 1$ product $k$ times. +a $k \times 1$ product $k$ times. -The biggest obstacle is that at the $ix$'th iteration of the outer loop the value of $x_{ix}$ is required to calculate $\mu$. This means the -carries from $0$ to $ix - 1$ must have been propagated upwards to form a valid $ix$'th digit. The solution as it turns out is very simple. -Perform a Comba like multiplier and inside the outer loop just after the inner loop fix up the $ix + 1$'th digit by forwarding the carry. +The biggest obstacle is that at the $ix$'th iteration of the outer loop the value of $x_{ix}$ is required to calculate $\mu$. This means the +carries from $0$ to $ix - 1$ must have been propagated upwards to form a valid $ix$'th digit. The solution as it turns out is very simple. +Perform a Comba like multiplier and inside the outer loop just after the inner loop fix up the $ix + 1$'th digit by forwarding the carry. With this change in place the Montgomery reduction algorithm can be performed with a Comba style multiplication loop which substantially increases -the speed of the algorithm. +the speed of the algorithm. \newpage\begin{figure}[!here] \begin{small} @@ -3991,9 +3980,9 @@ Zero excess digits and fixup $x$. \\ \textbf{Algorithm fast\_mp\_montgomery\_reduce.} This algorithm will compute the Montgomery reduction of $x$ modulo $n$ using the Comba technique. It is on most computer platforms significantly faster than algorithm mp\_montgomery\_reduce and algorithm mp\_reduce (\textit{Barrett reduction}). The algorithm has the same restrictions -on the input as the baseline reduction algorithm. An additional two restrictions are imposed on this algorithm. The number of digits $k$ in the +on the input as the baseline reduction algorithm. An additional two restrictions are imposed on this algorithm. The number of digits $k$ in the the modulus $n$ must not violate $MP\_WARRAY > 2k +1$ and $n < \delta$. When $\beta = 2^{28}$ this algorithm can be used to reduce modulo -a modulus of at most $3,556$ bits in length. +a modulus of at most $3,556$ bits in length. As in the other Comba reduction algorithms there is a $\hat W$ array which stores the columns of the product. It is initially filled with the contents of $x$ with the excess digits zeroed. The reduction loop is very similar the to the baseline loop at heart. The multiplication on step @@ -4007,23 +3996,23 @@ how the upper bits of those same words are not reduced modulo $\beta$. This is point. Step 5 will propagate the remainder of the carries upwards. On step 6 the columns are reduced modulo $\beta$ and shifted simultaneously as they are -stored in the destination $x$. +stored in the destination $x$. EXAM,bn_fast_mp_montgomery_reduce.c The $\hat W$ array is first filled with digits of $x$ on line @49,for@ then the rest of the digits are zeroed on line @54,for@. Both loops share -the same alias variables to make the code easier to read. +the same alias variables to make the code easier to read. The value of $\mu$ is calculated in an interesting fashion. First the value $\hat W_{ix}$ is reduced modulo $\beta$ and cast to a mp\_digit. This -forces the compiler to use a single precision multiplication and prevents any concerns about loss of precision. Line @101,>>@ fixes the carry +forces the compiler to use a single precision multiplication and prevents any concerns about loss of precision. Line @101,>>@ fixes the carry for the next iteration of the loop by propagating the carry from $\hat W_{ix}$ to $\hat W_{ix+1}$. The for loop on line @113,for@ propagates the rest of the carries upwards through the columns. The for loop on line @126,for@ reduces the columns modulo $\beta$ and shifts them $k$ places at the same time. The alias $\_ \hat W$ actually refers to the array $\hat W$ starting at the $n.used$'th -digit, that is $\_ \hat W_{t} = \hat W_{n.used + t}$. +digit, that is $\_ \hat W_{t} = \hat W_{n.used + t}$. \subsection{Montgomery Setup} -To calculate the variable $\rho$ a relatively simple algorithm will be required. +To calculate the variable $\rho$ a relatively simple algorithm will be required. \begin{figure}[!here] \begin{small} @@ -4044,17 +4033,17 @@ To calculate the variable $\rho$ a relatively simple algorithm will be required. \end{tabular} \end{center} \end{small} -\caption{Algorithm mp\_montgomery\_setup} +\caption{Algorithm mp\_montgomery\_setup} \end{figure} \textbf{Algorithm mp\_montgomery\_setup.} -This algorithm will calculate the value of $\rho$ required within the Montgomery reduction algorithms. It uses a very interesting trick -to calculate $1/n_0$ when $\beta$ is a power of two. +This algorithm will calculate the value of $\rho$ required within the Montgomery reduction algorithms. It uses a very interesting trick +to calculate $1/n_0$ when $\beta$ is a power of two. EXAM,bn_mp_montgomery_setup.c This source code computes the value of $\rho$ required to perform Montgomery reduction. It has been modified to avoid performing excess -multiplications when $\beta$ is not the default 28-bits. +multiplications when $\beta$ is not the default 28-bits. \section{The Diminished Radix Algorithm} The Diminished Radix method of modular reduction \cite{DRMET} is a fairly clever technique which can be more efficient than either the Barrett @@ -4064,7 +4053,7 @@ or Montgomery methods for certain forms of moduli. The technique is based on th (x \mbox{ mod } n) + k \lfloor x / n \rfloor \equiv x \mbox{ (mod }(n - k)\mbox{)} \end{equation} -This observation was used in the MMB \cite{MMB} block cipher to create a diffusion primitive. It used the fact that if $n = 2^{31}$ and $k=1$ that +This observation was used in the MMB \cite{MMB} block cipher to create a diffusion primitive. It used the fact that if $n = 2^{31}$ and $k=1$ that then a x86 multiplier could produce the 62-bit product and use the ``shrd'' instruction to perform a double-precision right shift. The proof of the above equation is very simple. First write $x$ in the product form. @@ -4078,7 +4067,7 @@ Now reduce both sides modulo $(n - k)$. x \equiv qk + r \mbox{ (mod }(n-k)\mbox{)} \end{equation} -The variable $n$ reduces modulo $n - k$ to $k$. By putting $q = \lfloor x/n \rfloor$ and $r = x \mbox{ mod } n$ +The variable $n$ reduces modulo $n - k$ to $k$. By putting $q = \lfloor x/n \rfloor$ and $r = x \mbox{ mod } n$ into the equation the original congruence is reproduced, thus concluding the proof. The following algorithm is based on this observation. \begin{figure}[!here] @@ -4108,7 +4097,7 @@ into the equation the original congruence is reproduced, thus concluding the pro This algorithm will reduce $x$ modulo $n - k$ and return the residue. If $0 \le x < (n - k)^2$ then the algorithm will loop almost always once or twice and occasionally three times. For simplicity sake the value of $x$ is bounded by the following simple polynomial. -\begin{equation} +\begin{equation} 0 \le x < n^2 + k^2 - 2nk \end{equation} @@ -4119,15 +4108,15 @@ q < n - 2k - k^2/n \end{equation} Since $k^2$ is going to be considerably smaller than $n$ that term will always be zero. The value of $x$ after step 3 is bounded trivially as -$0 \le x < n$. By step four the sum $x + q$ is bounded by +$0 \le x < n$. By step four the sum $x + q$ is bounded by \begin{equation} 0 \le q + x < (k + 1)n - 2k^2 - 1 \end{equation} With a second pass $q$ will be loosely bounded by $0 \le q < k^2$ after step 2 while $x$ will still be loosely bounded by $0 \le x < n$ after step 3. After the second pass it is highly unlike that the -sum in step 4 will exceed $n - k$. In practice fewer than three passes of the algorithm are required to reduce virtually every input in the -range $0 \le x < (n - k - 1)^2$. +sum in step 4 will exceed $n - k$. In practice fewer than three passes of the algorithm are required to reduce virtually every input in the +range $0 \le x < (n - k - 1)^2$. \begin{figure} \begin{small} @@ -4140,13 +4129,13 @@ $q \leftarrow q*k = 1446759$ \\ $x \leftarrow x \mbox{ mod } n = 21$ \\ $x \leftarrow x + q = 1446780$ \\ $x \leftarrow x - (n - k) = 1446527$ \\ -\hline +\hline $q \leftarrow \lfloor x/n \rfloor = 5650$ \\ $q \leftarrow q*k = 16950$ \\ $x \leftarrow x \mbox{ mod } n = 127$ \\ $x \leftarrow x + q = 17077$ \\ $x \leftarrow x - (n - k) = 16824$ \\ -\hline +\hline $q \leftarrow \lfloor x/n \rfloor = 65$ \\ $q \leftarrow q*k = 195$ \\ $x \leftarrow x \mbox{ mod } n = 184$ \\ @@ -4169,29 +4158,29 @@ three passes were required to find the residue $x \equiv 126$. On the surface this algorithm looks like a very expensive algorithm. It requires a couple of subtractions followed by multiplication and other modular reductions. The usefulness of this algorithm becomes exceedingly clear when an appropriate modulus is chosen. -Division in general is a very expensive operation to perform. The one exception is when the division is by a power of the radix of representation used. -Division by ten for example is simple for pencil and paper mathematics since it amounts to shifting the decimal place to the right. Similarly division -by two (\textit{or powers of two}) is very simple for binary computers to perform. It would therefore seem logical to choose $n$ of the form $2^p$ -which would imply that $\lfloor x / n \rfloor$ is a simple shift of $x$ right $p$ bits. +Division in general is a very expensive operation to perform. The one exception is when the division is by a power of the radix of representation used. +Division by ten for example is simple for pencil and paper mathematics since it amounts to shifting the decimal place to the right. Similarly division +by two (\textit{or powers of two}) is very simple for binary computers to perform. It would therefore seem logical to choose $n$ of the form $2^p$ +which would imply that $\lfloor x / n \rfloor$ is a simple shift of $x$ right $p$ bits. -However, there is one operation related to division of power of twos that is even faster than this. If $n = \beta^p$ then the division may be -performed by moving whole digits to the right $p$ places. In practice division by $\beta^p$ is much faster than division by $2^p$ for any $p$. -Also with the choice of $n = \beta^p$ reducing $x$ modulo $n$ merely requires zeroing the digits above the $p-1$'th digit of $x$. +However, there is one operation related to division of power of twos that is even faster than this. If $n = \beta^p$ then the division may be +performed by moving whole digits to the right $p$ places. In practice division by $\beta^p$ is much faster than division by $2^p$ for any $p$. +Also with the choice of $n = \beta^p$ reducing $x$ modulo $n$ merely requires zeroing the digits above the $p-1$'th digit of $x$. Throughout the next section the term ``restricted modulus'' will refer to a modulus of the form $\beta^p - k$ whereas the term ``unrestricted -modulus'' will refer to a modulus of the form $2^p - k$. The word ``restricted'' in this case refers to the fact that it is based on the -$2^p$ logic except $p$ must be a multiple of $lg(\beta)$. +modulus'' will refer to a modulus of the form $2^p - k$. The word ``restricted'' in this case refers to the fact that it is based on the +$2^p$ logic except $p$ must be a multiple of $lg(\beta)$. \subsection{Choice of $k$} Now that division and reduction (\textit{step 1 and 3 of figure~\ref{fig:DR}}) have been optimized to simple digit operations the multiplication by $k$ in step 2 is the most expensive operation. Fortunately the choice of $k$ is not terribly limited. For all intents and purposes it might -as well be a single digit. The smaller the value of $k$ is the faster the algorithm will be. +as well be a single digit. The smaller the value of $k$ is the faster the algorithm will be. \subsection{Restricted Diminished Radix Reduction} -The restricted Diminished Radix algorithm can quickly reduce an input modulo a modulus of the form $n = \beta^p - k$. This algorithm can reduce +The restricted Diminished Radix algorithm can quickly reduce an input modulo a modulus of the form $n = \beta^p - k$. This algorithm can reduce an input $x$ within the range $0 \le x < n^2$ using only a couple passes of the algorithm demonstrated in figure~\ref{fig:DR}. The implementation -of this algorithm has been optimized to avoid additional overhead associated with a division by $\beta^p$, the multiplication by $k$ or the addition -of $x$ and $q$. The resulting algorithm is very efficient and can lead to substantial improvements over Barrett and Montgomery reduction when modular +of this algorithm has been optimized to avoid additional overhead associated with a division by $\beta^p$, the multiplication by $k$ or the addition +of $x$ and $q$. The resulting algorithm is very efficient and can lead to substantial improvements over Barrett and Montgomery reduction when modular exponentiations are performed. \newpage\begin{figure}[!here] @@ -4227,31 +4216,31 @@ exponentiations are performed. \textbf{Algorithm mp\_dr\_reduce.} This algorithm will perform the Dimished Radix reduction of $x$ modulo $n$. It has similar restrictions to that of the Barrett reduction -with the addition that $n$ must be of the form $n = \beta^m - k$ where $0 < k <\beta$. +with the addition that $n$ must be of the form $n = \beta^m - k$ where $0 < k <\beta$. This algorithm essentially implements the pseudo-code in figure~\ref{fig:DR} except with a slight optimization. The division by $\beta^m$, multiplication by $k$ and addition of $x \mbox{ mod }\beta^m$ are all performed simultaneously inside the loop on step 4. The division by $\beta^m$ is emulated by accessing the term at the $m+i$'th position which is subsequently multiplied by $k$ and added to the term at the $i$'th position. After the loop the $m$'th -digit is set to the carry and the upper digits are zeroed. Steps 5 and 6 emulate the reduction modulo $\beta^m$ that should have happend to -$x$ before the addition of the multiple of the upper half. +digit is set to the carry and the upper digits are zeroed. Steps 5 and 6 emulate the reduction modulo $\beta^m$ that should have happend to +$x$ before the addition of the multiple of the upper half. At step 8 if $x$ is still larger than $n$ another pass of the algorithm is required. First $n$ is subtracted from $x$ and then the algorithm resumes -at step 3. +at step 3. EXAM,bn_mp_dr_reduce.c The first step is to grow $x$ as required to $2m$ digits since the reduction is performed in place on $x$. The label on line @49,top:@ is where the algorithm will resume if further reduction passes are required. In theory it could be placed at the top of the function however, the size of -the modulus and question of whether $x$ is large enough are invariant after the first pass meaning that it would be a waste of time. +the modulus and question of whether $x$ is large enough are invariant after the first pass meaning that it would be a waste of time. The aliases $tmpx1$ and $tmpx2$ refer to the digits of $x$ where the latter is offset by $m$ digits. By reading digits from $x$ offset by $m$ digits a division by $\beta^m$ can be simulated virtually for free. The loop on line @61,for@ performs the bulk of the work (\textit{corresponds to step 4 of algorithm 7.11}) in this algorithm. -By line @68,mu@ the pointer $tmpx1$ points to the $m$'th digit of $x$ which is where the final carry will be placed. Similarly by line @71,for@ the -same pointer will point to the $m+1$'th digit where the zeroes will be placed. +By line @68,mu@ the pointer $tmpx1$ points to the $m$'th digit of $x$ which is where the final carry will be placed. Similarly by line @71,for@ the +same pointer will point to the $m+1$'th digit where the zeroes will be placed. -Since the algorithm is only valid if both $x$ and $n$ are greater than zero an unsigned comparison suffices to determine if another pass is required. +Since the algorithm is only valid if both $x$ and $n$ are greater than zero an unsigned comparison suffices to determine if another pass is required. With the same logic at line @82,sub@ the value of $x$ is known to be greater than or equal to $n$ meaning that an unsigned subtraction can be used as well. Since the destination of the subtraction is the larger of the inputs the call to algorithm s\_mp\_sub cannot fail and the return code does not need to be checked. @@ -4342,20 +4331,20 @@ algorithm is much faster than either Montgomery or Barrett reduction when the mo \textbf{Algorithm mp\_reduce\_2k.} This algorithm quickly reduces an input $a$ modulo an unrestricted Diminished Radix modulus $n$. Division by $2^p$ is emulated with a right -shift which makes the algorithm fairly inexpensive to use. +shift which makes the algorithm fairly inexpensive to use. EXAM,bn_mp_reduce_2k.c The algorithm mp\_count\_bits calculates the number of bits in an mp\_int which is used to find the initial value of $p$. The call to mp\_div\_2d on line @31,mp_div_2d@ calculates both the quotient $q$ and the remainder $a$ required. By doing both in a single function call the code size is kept fairly small. The multiplication by $k$ is only performed if $k > 1$. This allows reductions modulo $2^p - 1$ to be performed without -any multiplications. +any multiplications. -The unsigned s\_mp\_add, mp\_cmp\_mag and s\_mp\_sub are used in place of their full sign counterparts since the inputs are only valid if they are -positive. By using the unsigned versions the overhead is kept to a minimum. +The unsigned s\_mp\_add, mp\_cmp\_mag and s\_mp\_sub are used in place of their full sign counterparts since the inputs are only valid if they are +positive. By using the unsigned versions the overhead is kept to a minimum. \subsubsection{Unrestricted Setup} -To setup this reduction algorithm the value of $k = 2^p - n$ is required. +To setup this reduction algorithm the value of $k = 2^p - n$ is required. \begin{figure}[!here] \begin{small} @@ -4379,7 +4368,7 @@ To setup this reduction algorithm the value of $k = 2^p - n$ is required. \textbf{Algorithm mp\_reduce\_2k\_setup.} This algorithm computes the value of $k$ required for the algorithm mp\_reduce\_2k. By making a temporary variable $x$ equal to $2^p$ a subtraction -is sufficient to solve for $k$. Alternatively if $n$ has more than one digit the value of $k$ is simply $\beta - n_0$. +is sufficient to solve for $k$. Alternatively if $n$ has more than one digit the value of $k$ is simply $\beta - n_0$. EXAM,bn_mp_reduce_2k_setup.c @@ -4418,7 +4407,7 @@ significant bit. The resulting sum will be a power of two. \end{figure} \textbf{Algorithm mp\_reduce\_is\_2k.} -This algorithm quickly determines if a modulus is of the form required for algorithm mp\_reduce\_2k to function properly. +This algorithm quickly determines if a modulus is of the form required for algorithm mp\_reduce\_2k to function properly. EXAM,bn_mp_reduce_is_2k.c @@ -4427,7 +4416,7 @@ EXAM,bn_mp_reduce_is_2k.c \section{Algorithm Comparison} So far three very different algorithms for modular reduction have been discussed. Each of the algorithms have their own strengths and weaknesses that makes having such a selection very useful. The following table sumarizes the three algorithms along with comparisons of work factors. Since -all three algorithms have the restriction that $0 \le x < n^2$ and $n > 1$ those limitations are not included in the table. +all three algorithms have the restriction that $0 \le x < n^2$ and $n > 1$ those limitations are not included in the table. \begin{center} \begin{small} @@ -4463,12 +4452,12 @@ $\left [ 4 \right ]$ & Prove that the pseudo-code algorithm ``Diminished Radix R & (\textit{figure~\ref{fig:DR}}) terminates. Also prove the probability that it will \\ & terminate within $1 \le k \le 10$ iterations. \\ & \\ -\end{tabular} +\end{tabular} \chapter{Exponentiation} Exponentiation is the operation of raising one variable to the power of another, for example, $a^b$. A variant of exponentiation, computed -in a finite field or ring, is called modular exponentiation. This latter style of operation is typically used in public key +in a finite field or ring, is called modular exponentiation. This latter style of operation is typically used in public key cryptosystems such as RSA and Diffie-Hellman. The ability to quickly compute modular exponentiations is of great benefit to any such cryptosystem and many methods have been sought to speed it up. @@ -4478,7 +4467,7 @@ the number of multiplications becomes prohibitive. Imagine what would happen if with a $1024$-bit key. Such a calculation could never be completed as it would take simply far too long. Fortunately there is a very simple algorithm based on the laws of exponents. Recall that $lg_a(a^b) = b$ and that $lg_a(a^ba^c) = b + c$ which -are two trivial relationships between the base and the exponent. Let $b_i$ represent the $i$'th bit of $b$ starting from the least +are two trivial relationships between the base and the exponent. Let $b_i$ represent the $i$'th bit of $b$ starting from the least significant bit. If $b$ is a $k$-bit integer than the following equation is true. \begin{equation} @@ -4495,7 +4484,7 @@ The term $a^{2^i}$ can be found from the $i - 1$'th term by squaring the term si $a^{2^{i+1}}$. This observation forms the basis of essentially all fast exponentiation algorithms. It requires $k$ squarings and on average $k \over 2$ multiplications to compute the result. This is indeed quite an improvement over simply multiplying by $a$ a total of $b-1$ times. -While this current method is a considerable speed up there are further improvements to be made. For example, the $a^{2^i}$ term does not need to +While this current method is a considerable speed up there are further improvements to be made. For example, the $a^{2^i}$ term does not need to be computed in an auxilary variable. Consider the following equivalent algorithm. \begin{figure}[!here] @@ -4521,7 +4510,7 @@ be computed in an auxilary variable. Consider the following equivalent algorith This algorithm starts from the most significant bit and works towards the least significant bit. When the $i$'th bit of $b$ is set $a$ is multiplied against the current product. In each iteration the product is squared which doubles the exponent of the individual terms of the -product. +product. For example, let $b = 101100_2 \equiv 44_{10}$. The following chart demonstrates the actions of the algorithm. @@ -4542,13 +4531,13 @@ For example, let $b = 101100_2 \equiv 44_{10}$. The following chart demonstrate \caption{Example of Left to Right Exponentiation} \end{figure} -When the product $a^{32} \cdot a^8 \cdot a^4$ is simplified it is equal $a^{44}$ which is the desired exponentiation. This particular algorithm is -called ``Left to Right'' because it reads the exponent in that order. All of the exponentiation algorithms that will be presented are of this nature. +When the product $a^{32} \cdot a^8 \cdot a^4$ is simplified it is equal $a^{44}$ which is the desired exponentiation. This particular algorithm is +called ``Left to Right'' because it reads the exponent in that order. All of the exponentiation algorithms that will be presented are of this nature. \subsection{Single Digit Exponentiation} -The first algorithm in the series of exponentiation algorithms will be an unbounded algorithm where the exponent is a single digit. It is intended -to be used when a small power of an input is required (\textit{e.g. $a^5$}). It is faster than simply multiplying $b - 1$ times for all values of -$b$ that are greater than three. +The first algorithm in the series of exponentiation algorithms will be an unbounded algorithm where the exponent is a single digit. It is intended +to be used when a small power of an input is required (\textit{e.g. $a^5$}). It is faster than simply multiplying $b - 1$ times for all values of +$b$ that are greater than three. \newpage\begin{figure}[!here] \begin{small} @@ -4576,10 +4565,10 @@ $b$ that are greater than three. \textbf{Algorithm mp\_expt\_d.} This algorithm computes the value of $a$ raised to the power of a single digit $b$. It uses the left to right exponentiation algorithm to -quickly compute the exponentiation. It is loosely based on algorithm 14.79 of HAC \cite[pp. 615]{HAC} with the difference that the -exponent is a fixed width. +quickly compute the exponentiation. It is loosely based on algorithm 14.79 of HAC \cite[pp. 615]{HAC} with the difference that the +exponent is a fixed width. -A copy of $a$ is made first to allow destination variable $c$ be the same as the source variable $a$. The result is set to the initial value of +A copy of $a$ is made first to allow destination variable $c$ be the same as the source variable $a$. The result is set to the initial value of $1$ in the subsequent step. Inside the loop the exponent is read from the most significant bit first down to the least significant bit. First $c$ is invariably squared @@ -4587,12 +4576,12 @@ on step 3.1. In the following step if the most significant bit of $b$ is one th of $b$ is shifted left one bit to make the next bit down from the most signficant bit the new most significant bit. In effect each iteration of the loop moves the bits of the exponent $b$ upwards to the most significant location. -EXAM,bn_mp_expt_d.c +EXAM,bn_mp_expt_d_ex.c -Line @29,mp_set@ sets the initial value of the result to $1$. Next the loop on line @31,for@ steps through each bit of the exponent starting from -the most significant down towards the least significant. The invariant squaring operation placed on line @333,mp_sqr@ is performed first. After +This describes only the algorithm that is used when the parameter $fast$ is $0$. Line @31,mp_set@ sets the initial value of the result to $1$. Next the loop on line @54,for@ steps through each bit of the exponent starting from +the most significant down towards the least significant. The invariant squaring operation placed on line @333,mp_sqr@ is performed first. After the squaring the result $c$ is multiplied by the base $g$ if and only if the most significant bit of the exponent is set. The shift on line -@47,<<@ moves all of the bits of the exponent upwards towards the most significant location. +@69,<<@ moves all of the bits of the exponent upwards towards the most significant location. \section{$k$-ary Exponentiation} When calculating an exponentiation the most time consuming bottleneck is the multiplications which are in general a small factor @@ -4625,7 +4614,7 @@ portion of the entire exponent. Consider the following modification to the basi The squaring on step 2.1 can be calculated by squaring the value $c$ successively $k$ times. If the values of $a^g$ for $0 < g < 2^k$ have been precomputed this algorithm requires only $t$ multiplications and $tk$ squarings. The table can be generated with $2^{k - 1} - 1$ squarings and -$2^{k - 1} + 1$ multiplications. This algorithm assumes that the number of bits in the exponent is evenly divisible by $k$. +$2^{k - 1} + 1$ multiplications. This algorithm assumes that the number of bits in the exponent is evenly divisible by $k$. However, when it is not the remaining $0 < x \le k - 1$ bits can be handled with algorithm~\ref{fig:LTOR}. Suppose $k = 4$ and $t = 100$. This modified algorithm will require $109$ multiplications and $408$ squarings to compute the exponentiation. The @@ -4635,7 +4624,7 @@ has increased slightly but the number of multiplications has nearly halved. \subsection{Optimal Values of $k$} An optimal value of $k$ will minimize $2^{k} + \lceil n / k \rceil + n - 1$ for a fixed number of bits in the exponent $n$. The simplest approach is to brute force search amongst the values $k = 2, 3, \ldots, 8$ for the lowest result. Table~\ref{fig:OPTK} lists optimal values of $k$ -for various exponent sizes and compares the number of multiplication and squarings required against algorithm~\ref{fig:LTOR}. +for various exponent sizes and compares the number of multiplication and squarings required against algorithm~\ref{fig:LTOR}. \begin{figure}[here] \begin{center} @@ -4661,10 +4650,10 @@ for various exponent sizes and compares the number of multiplication and squarin \subsection{Sliding-Window Exponentiation} A simple modification to the previous algorithm is only generate the upper half of the table in the range $2^{k-1} \le g < 2^k$. Essentially -this is a table for all values of $g$ where the most significant bit of $g$ is a one. However, in order for this to be allowed in the -algorithm values of $g$ in the range $0 \le g < 2^{k-1}$ must be avoided. +this is a table for all values of $g$ where the most significant bit of $g$ is a one. However, in order for this to be allowed in the +algorithm values of $g$ in the range $0 \le g < 2^{k-1}$ must be avoided. -Table~\ref{fig:OPTK2} lists optimal values of $k$ for various exponent sizes and compares the work required against algorithm~\ref{fig:KARY}. +Table~\ref{fig:OPTK2} lists optimal values of $k$ for various exponent sizes and compares the work required against algorithm {\ref{fig:KARY}}. \begin{figure}[here] \begin{center} @@ -4715,29 +4704,29 @@ Table~\ref{fig:OPTK2} lists optimal values of $k$ for various exponent sizes and Similar to the previous algorithm this algorithm must have a special handler when fewer than $k$ bits are left in the exponent. While this algorithm requires the same number of squarings it can potentially have fewer multiplications. The pre-computed table $a^g$ is also half -the size as the previous table. +the size as the previous table. -Consider the exponent $b = 111101011001000_2 \equiv 31432_{10}$ with $k = 3$ using both algorithms. The first algorithm will divide the exponent up as -the following five $3$-bit words $b \equiv \left ( 111, 101, 011, 001, 000 \right )_{2}$. The second algorithm will break the +Consider the exponent $b = 111101011001000_2 \equiv 31432_{10}$ with $k = 3$ using both algorithms. The first algorithm will divide the exponent up as +the following five $3$-bit words $b \equiv \left ( 111, 101, 011, 001, 000 \right )_{2}$. The second algorithm will break the exponent as $b \equiv \left ( 111, 101, 0, 110, 0, 100, 0 \right )_{2}$. The single digit $0$ in the second representation are where -a single squaring took place instead of a squaring and multiplication. In total the first method requires $10$ multiplications and $18$ -squarings. The second method requires $8$ multiplications and $18$ squarings. +a single squaring took place instead of a squaring and multiplication. In total the first method requires $10$ multiplications and $18$ +squarings. The second method requires $8$ multiplications and $18$ squarings. -In general the sliding window method is never slower than the generic $k$-ary method and often it is slightly faster. +In general the sliding window method is never slower than the generic $k$-ary method and often it is slightly faster. \section{Modular Exponentiation} -Modular exponentiation is essentially computing the power of a base within a finite field or ring. For example, computing -$d \equiv a^b \mbox{ (mod }c\mbox{)}$ is a modular exponentiation. Instead of first computing $a^b$ and then reducing it -modulo $c$ the intermediate result is reduced modulo $c$ after every squaring or multiplication operation. +Modular exponentiation is essentially computing the power of a base within a finite field or ring. For example, computing +$d \equiv a^b \mbox{ (mod }c\mbox{)}$ is a modular exponentiation. Instead of first computing $a^b$ and then reducing it +modulo $c$ the intermediate result is reduced modulo $c$ after every squaring or multiplication operation. This guarantees that any intermediate result is bounded by $0 \le d \le c^2 - 2c + 1$ and can be reduced modulo $c$ quickly using -one of the algorithms presented in ~REDUCTION~. +one of the algorithms presented in ~REDUCTION~. Before the actual modular exponentiation algorithm can be written a wrapper algorithm must be written first. This algorithm will allow the exponent $b$ to be negative which is computed as $c \equiv \left (1 / a \right )^{\vert b \vert} \mbox{(mod }d\mbox{)}$. The value of $(1/a) \mbox{ mod }c$ is computed using the modular inverse (\textit{see \ref{sec;modinv}}). If no inverse exists the algorithm -terminates with an error. +terminates with an error. \begin{figure}[!here] \begin{small} @@ -4764,10 +4753,10 @@ terminates with an error. \end{figure} \textbf{Algorithm mp\_exptmod.} -The first algorithm which actually performs modular exponentiation is algorithm s\_mp\_exptmod. It is a sliding window $k$-ary algorithm -which uses Barrett reduction to reduce the product modulo $p$. The second algorithm mp\_exptmod\_fast performs the same operation +The first algorithm which actually performs modular exponentiation is algorithm s\_mp\_exptmod. It is a sliding window $k$-ary algorithm +which uses Barrett reduction to reduce the product modulo $p$. The second algorithm mp\_exptmod\_fast performs the same operation except it uses either Montgomery or Diminished Radix reduction. The two latter reduction algorithms are clumped in the same exponentiation -algorithm since their arguments are essentially the same (\textit{two mp\_ints and one mp\_digit}). +algorithm since their arguments are essentially the same (\textit{two mp\_ints and one mp\_digit}). EXAM,bn_mp_exptmod.c @@ -4776,7 +4765,7 @@ negative the algorithm tries to perform a modular exponentiation with the modula the modular inverse of $G$ and $tmpX$ is assigned the absolute value of $X$. The algorithm will recuse with these new values with a positive exponent. -If the exponent is positive the algorithm resumes the exponentiation. Line @63,dr_@ determines if the modulus is of the restricted Diminished Radix +If the exponent is positive the algorithm resumes the exponentiation. Line @63,dr_@ determines if the modulus is of the restricted Diminished Radix form. If it is not line @65,reduce@ attempts to determine if it is of a unrestricted Diminished Radix form. The integer $dr$ will take on one of three values. @@ -4787,7 +4776,7 @@ of three values. \end{enumerate} Line @69,if@ determines if the fast modular exponentiation algorithm can be used. It is allowed if $dr \ne 0$ or if the modulus is odd. Otherwise, -the slower s\_mp\_exptmod algorithm is used which uses Barrett reduction. +the slower s\_mp\_exptmod algorithm is used which uses Barrett reduction. \subsection{Barrett Modular Exponentiation} @@ -4892,9 +4881,9 @@ No more windows left. Check for residual bits of exponent. \\ This algorithm computes the $x$'th power of $g$ modulo $p$ and stores the result in $y$. It takes advantage of the Barrett reduction algorithm to keep the product small throughout the algorithm. -The first two steps determine the optimal window size based on the number of bits in the exponent. The larger the exponent the +The first two steps determine the optimal window size based on the number of bits in the exponent. The larger the exponent the larger the window size becomes. After a window size $winsize$ has been chosen an array of $2^{winsize}$ mp\_int variables is allocated. This -table will hold the values of $g^x \mbox{ (mod }p\mbox{)}$ for $2^{winsize - 1} \le x < 2^{winsize}$. +table will hold the values of $g^x \mbox{ (mod }p\mbox{)}$ for $2^{winsize - 1} \le x < 2^{winsize}$. After the table is allocated the first power of $g$ is found. Since $g \ge p$ is allowed it must be first reduced modulo $p$ to make the rest of the algorithm more efficient. The first element of the table at $2^{winsize - 1}$ is found by squaring $M_1$ successively $winsize - 2$ @@ -4902,49 +4891,49 @@ times. The rest of the table elements are found by multiplying the previous ele Now that the table is available the sliding window may begin. The following list describes the functions of all the variables in the window. \begin{enumerate} -\item The variable $mode$ dictates how the bits of the exponent are interpreted. +\item The variable $mode$ dictates how the bits of the exponent are interpreted. \begin{enumerate} - \item When $mode = 0$ the bits are ignored since no non-zero bit of the exponent has been seen yet. For example, if the exponent were simply - $1$ then there would be $lg(\beta) - 1$ zero bits before the first non-zero bit. In this case bits are ignored until a non-zero bit is found. - \item When $mode = 1$ a non-zero bit has been seen before and a new $winsize$-bit window has not been formed yet. In this mode leading $0$ bits - are read and a single squaring is performed. If a non-zero bit is read a new window is created. + \item When $mode = 0$ the bits are ignored since no non-zero bit of the exponent has been seen yet. For example, if the exponent were simply + $1$ then there would be $lg(\beta) - 1$ zero bits before the first non-zero bit. In this case bits are ignored until a non-zero bit is found. + \item When $mode = 1$ a non-zero bit has been seen before and a new $winsize$-bit window has not been formed yet. In this mode leading $0$ bits + are read and a single squaring is performed. If a non-zero bit is read a new window is created. \item When $mode = 2$ the algorithm is in the middle of forming a window and new bits are appended to the window from the most significant bit downwards. \end{enumerate} \item The variable $bitcnt$ indicates how many bits are left in the current digit of the exponent left to be read. When it reaches zero a new digit is fetched from the exponent. -\item The variable $buf$ holds the currently read digit of the exponent. +\item The variable $buf$ holds the currently read digit of the exponent. \item The variable $digidx$ is an index into the exponents digits. It starts at the leading digit $x.used - 1$ and moves towards the trailing digit. \item The variable $bitcpy$ indicates how many bits are in the currently formed window. When it reaches $winsize$ the window is flushed and the appropriate operations performed. -\item The variable $bitbuf$ holds the current bits of the window being formed. +\item The variable $bitbuf$ holds the current bits of the window being formed. \end{enumerate} All of step 12 is the window processing loop. It will iterate while there are digits available form the exponent to read. The first step inside this loop is to extract a new digit if no more bits are available in the current digit. If there are no bits left a new digit is -read and if there are no digits left than the loop terminates. +read and if there are no digits left than the loop terminates. After a digit is made available step 12.3 will extract the most significant bit of the current digit and move all other bits in the digit -upwards. In effect the digit is read from most significant bit to least significant bit and since the digits are read from leading to +upwards. In effect the digit is read from most significant bit to least significant bit and since the digits are read from leading to trailing edges the entire exponent is read from most significant bit to least significant bit. -At step 12.5 if the $mode$ and currently extracted bit $y$ are both zero the bit is ignored and the next bit is read. This prevents the +At step 12.5 if the $mode$ and currently extracted bit $y$ are both zero the bit is ignored and the next bit is read. This prevents the algorithm from having to perform trivial squaring and reduction operations before the first non-zero bit is read. Step 12.6 and 12.7-10 handle -the two cases of $mode = 1$ and $mode = 2$ respectively. +the two cases of $mode = 1$ and $mode = 2$ respectively. FIGU,expt_state,Sliding Window State Diagram -By step 13 there are no more digits left in the exponent. However, there may be partial bits in the window left. If $mode = 2$ then -a Left-to-Right algorithm is used to process the remaining few bits. +By step 13 there are no more digits left in the exponent. However, there may be partial bits in the window left. If $mode = 2$ then +a Left-to-Right algorithm is used to process the remaining few bits. EXAM,bn_s_mp_exptmod.c Lines @31,if@ through @45,}@ determine the optimal window size based on the length of the exponent in bits. The window divisions are sorted -from smallest to greatest so that in each \textbf{if} statement only one condition must be tested. For example, by the \textbf{if} statement -on line @37,if@ the value of $x$ is already known to be greater than $140$. +from smallest to greatest so that in each \textbf{if} statement only one condition must be tested. For example, by the \textbf{if} statement +on line @37,if@ the value of $x$ is already known to be greater than $140$. The conditional piece of code beginning on line @42,ifdef@ allows the window size to be restricted to five bits. This logic is used to ensure -the table of precomputed powers of $G$ remains relatively small. +the table of precomputed powers of $G$ remains relatively small. The for loop on line @60,for@ initializes the $M$ array while lines @71,mp_init@ and @75,mp_reduce@ through @85,}@ initialize the reduction function that will be used for this modulus. @@ -4982,11 +4971,11 @@ EXAM,bn_mp_2expt.c \chapter{Higher Level Algorithms} This chapter discusses the various higher level algorithms that are required to complete a well rounded multiple precision integer package. These -routines are less performance oriented than the algorithms of chapters five, six and seven but are no less important. +routines are less performance oriented than the algorithms of chapters five, six and seven but are no less important. The first section describes a method of integer division with remainder that is universally well known. It provides the signed division logic -for the package. The subsequent section discusses a set of algorithms which allow a single digit to be the 2nd operand for a variety of operations. -These algorithms serve mostly to simplify other algorithms where small constants are required. The last two sections discuss how to manipulate +for the package. The subsequent section discusses a set of algorithms which allow a single digit to be the 2nd operand for a variety of operations. +These algorithms serve mostly to simplify other algorithms where small constants are required. The last two sections discuss how to manipulate various representations of integers. For example, converting from an mp\_int to a string of character. \section{Integer Division with Remainder} @@ -4994,7 +4983,7 @@ various representations of integers. For example, converting from an mp\_int to Integer division aside from modular exponentiation is the most intensive algorithm to compute. Like addition, subtraction and multiplication the basis of this algorithm is the long-hand division algorithm taught to school children. Throughout this discussion several common variables -will be used. Let $x$ represent the divisor and $y$ represent the dividend. Let $q$ represent the integer quotient $\lfloor y / x \rfloor$ and +will be used. Let $x$ represent the divisor and $y$ represent the dividend. Let $q$ represent the integer quotient $\lfloor y / x \rfloor$ and let $r$ represent the remainder $r = y - x \lfloor y / x \rfloor$. The following simple algorithm will be used to start the discussion. \newpage\begin{figure}[!here] @@ -5024,42 +5013,42 @@ let $r$ represent the remainder $r = y - x \lfloor y / x \rfloor$. The followin As children we are taught this very simple algorithm for the case of $\beta = 10$. Almost instinctively several optimizations are taught for which their reason of existing are never explained. For this example let $y = 5471$ represent the dividend and $x = 23$ represent the divisor. -To find the first digit of the quotient the value of $k$ must be maximized such that $kx\beta^t$ is less than or equal to $y$ and +To find the first digit of the quotient the value of $k$ must be maximized such that $kx\beta^t$ is less than or equal to $y$ and simultaneously $(k + 1)x\beta^t$ is greater than $y$. Implicitly $k$ is the maximum value the $t$'th digit of the quotient may have. The habitual method used to find the maximum is to ``eyeball'' the two numbers, typically only the leading digits and quickly estimate a quotient. By only using leading -digits a much simpler division may be used to form an educated guess at what the value must be. In this case $k = \lfloor 54/23\rfloor = 2$ quickly -arises as a possible solution. Indeed $2x\beta^2 = 4600$ is less than $y = 5471$ and simultaneously $(k + 1)x\beta^2 = 6900$ is larger than $y$. +digits a much simpler division may be used to form an educated guess at what the value must be. In this case $k = \lfloor 54/23\rfloor = 2$ quickly +arises as a possible solution. Indeed $2x\beta^2 = 4600$ is less than $y = 5471$ and simultaneously $(k + 1)x\beta^2 = 6900$ is larger than $y$. As a result $k\beta^2$ is added to the quotient which now equals $q = 200$ and $4600$ is subtracted from $y$ to give a remainder of $y = 841$. -Again this process is repeated to produce the quotient digit $k = 3$ which makes the quotient $q = 200 + 3\beta = 230$ and the remainder +Again this process is repeated to produce the quotient digit $k = 3$ which makes the quotient $q = 200 + 3\beta = 230$ and the remainder $y = 841 - 3x\beta = 181$. Finally the last iteration of the loop produces $k = 7$ which leads to the quotient $q = 230 + 7 = 237$ and the -remainder $y = 181 - 7x = 20$. The final quotient and remainder found are $q = 237$ and $r = y = 20$ which are indeed correct since -$237 \cdot 23 + 20 = 5471$ is true. +remainder $y = 181 - 7x = 20$. The final quotient and remainder found are $q = 237$ and $r = y = 20$ which are indeed correct since +$237 \cdot 23 + 20 = 5471$ is true. \subsection{Quotient Estimation} \label{sec:divest} As alluded to earlier the quotient digit $k$ can be estimated from only the leading digits of both the divisor and dividend. When $p$ leading digits are used from both the divisor and dividend to form an estimation the accuracy of the estimation rises as $p$ grows. Technically speaking the estimation is based on assuming the lower $\vert \vert y \vert \vert - p$ and $\vert \vert x \vert \vert - p$ lower digits of the -dividend and divisor are zero. +dividend and divisor are zero. The value of the estimation may off by a few values in either direction and in general is fairly correct. A simplification \cite[pp. 271]{TAOCPV2} -of the estimation technique is to use $t + 1$ digits of the dividend and $t$ digits of the divisor, in particularly when $t = 1$. The estimate -using this technique is never too small. For the following proof let $t = \vert \vert y \vert \vert - 1$ and $s = \vert \vert x \vert \vert - 1$ +of the estimation technique is to use $t + 1$ digits of the dividend and $t$ digits of the divisor, in particularly when $t = 1$. The estimate +using this technique is never too small. For the following proof let $t = \vert \vert y \vert \vert - 1$ and $s = \vert \vert x \vert \vert - 1$ represent the most significant digits of the dividend and divisor respectively. -\textbf{Proof.}\textit{ The quotient $\hat k = \lfloor (y_t\beta + y_{t-1}) / x_s \rfloor$ is greater than or equal to +\textbf{Proof.}\textit{ The quotient $\hat k = \lfloor (y_t\beta + y_{t-1}) / x_s \rfloor$ is greater than or equal to $k = \lfloor y / (x \cdot \beta^{\vert \vert y \vert \vert - \vert \vert x \vert \vert - 1}) \rfloor$. } -The first obvious case is when $\hat k = \beta - 1$ in which case the proof is concluded since the real quotient cannot be larger. For all other +The first obvious case is when $\hat k = \beta - 1$ in which case the proof is concluded since the real quotient cannot be larger. For all other cases $\hat k = \lfloor (y_t\beta + y_{t-1}) / x_s \rfloor$ and $\hat k x_s \ge y_t\beta + y_{t-1} - x_s + 1$. The latter portion of the inequalility -$-x_s + 1$ arises from the fact that a truncated integer division will give the same quotient for at most $x_s - 1$ values. Next a series of +$-x_s + 1$ arises from the fact that a truncated integer division will give the same quotient for at most $x_s - 1$ values. Next a series of inequalities will prove the hypothesis. \begin{equation} y - \hat k x \le y - \hat k x_s\beta^s \end{equation} -This is trivially true since $x \ge x_s\beta^s$. Next we replace $\hat kx_s\beta^s$ by the previous inequality for $\hat kx_s$. +This is trivially true since $x \ge x_s\beta^s$. Next we replace $\hat kx_s\beta^s$ by the previous inequality for $\hat kx_s$. \begin{equation} y - \hat k x \le y_t\beta^t + \ldots + y_0 - (y_t\beta^t + y_{t-1}\beta^{t-1} - x_s\beta^t + \beta^s) @@ -5084,13 +5073,13 @@ Which proves that $y - \hat kx \le x$ and by consequence $\hat k \ge k$ which co For the purposes of division a normalized input is when the divisors leading digit $x_n$ is greater than or equal to $\beta / 2$. By multiplying both $x$ and $y$ by $j = \lfloor (\beta / 2) / x_n \rfloor$ the quotient remains unchanged and the remainder is simply $j$ times the original remainder. The purpose of normalization is to ensure the leading digit of the divisor is sufficiently large such that the estimated quotient will -lie in the domain of a single digit. Consider the maximum dividend $(\beta - 1) \cdot \beta + (\beta - 1)$ and the minimum divisor $\beta / 2$. +lie in the domain of a single digit. Consider the maximum dividend $(\beta - 1) \cdot \beta + (\beta - 1)$ and the minimum divisor $\beta / 2$. -\begin{equation} -{{\beta^2 - 1} \over { \beta / 2}} \le 2\beta - {2 \over \beta} +\begin{equation} +{{\beta^2 - 1} \over { \beta / 2}} \le 2\beta - {2 \over \beta} \end{equation} -At most the quotient approaches $2\beta$, however, in practice this will not occur since that would imply the previous quotient digit was too small. +At most the quotient approaches $2\beta$, however, in practice this will not occur since that would imply the previous quotient digit was too small. \subsection{Radix-$\beta$ Division with Remainder} \newpage\begin{figure}[!here] @@ -5188,23 +5177,23 @@ Finalize the result. \\ This algorithm will calculate quotient and remainder from an integer division given a dividend and divisor. The algorithm is a signed division and will produce a fully qualified quotient and remainder. -First the divisor $b$ must be non-zero which is enforced in step one. If the divisor is larger than the dividend than the quotient is implicitly -zero and the remainder is the dividend. +First the divisor $b$ must be non-zero which is enforced in step one. If the divisor is larger than the dividend than the quotient is implicitly +zero and the remainder is the dividend. After the first two trivial cases of inputs are handled the variable $q$ is setup to receive the digits of the quotient. Two unsigned copies of the divisor $y$ and dividend $x$ are made as well. The core of the division algorithm is an unsigned division and will only work if the values are -positive. Now the two values $x$ and $y$ must be normalized such that the leading digit of $y$ is greater than or equal to $\beta / 2$. -This is performed by shifting both to the left by enough bits to get the desired normalization. +positive. Now the two values $x$ and $y$ must be normalized such that the leading digit of $y$ is greater than or equal to $\beta / 2$. +This is performed by shifting both to the left by enough bits to get the desired normalization. -At this point the division algorithm can begin producing digits of the quotient. Recall that maximum value of the estimation used is +At this point the division algorithm can begin producing digits of the quotient. Recall that maximum value of the estimation used is $2\beta - {2 \over \beta}$ which means that a digit of the quotient must be first produced by another means. In this case $y$ is shifted -to the left (\textit{step ten}) so that it has the same number of digits as $x$. The loop on step eleven will subtract multiples of the +to the left (\textit{step ten}) so that it has the same number of digits as $x$. The loop on step eleven will subtract multiples of the shifted copy of $y$ until $x$ is smaller. Since the leading digit of $y$ is greater than or equal to $\beta/2$ this loop will iterate at most two -times to produce the desired leading digit of the quotient. +times to produce the desired leading digit of the quotient. Now the remainder of the digits can be produced. The equation $\hat q = \lfloor {{x_i \beta + x_{i-1}}\over y_t} \rfloor$ is used to fairly accurately approximate the true quotient digit. The estimation can in theory produce an estimation as high as $2\beta - {2 \over \beta}$ but by -induction the upper quotient digit is correct (\textit{as established on step eleven}) and the estimate must be less than $\beta$. +induction the upper quotient digit is correct (\textit{as established on step eleven}) and the estimate must be less than $\beta$. Recall from section~\ref{sec:divest} that the estimation is never too low but may be too high. The next step of the estimation process is to refine the estimation. The loop on step 13.5 uses $x_i\beta^2 + x_{i-1}\beta + x_{i-2}$ and $q_{i - t - 1}(y_t\beta + y_{t-1})$ as a higher @@ -5212,51 +5201,51 @@ order approximation to adjust the quotient digit. After both phases of estimation the quotient digit may still be off by a value of one\footnote{This is similar to the error introduced by optimizing Barrett reduction.}. Steps 13.6 and 13.7 subtract the multiple of the divisor from the dividend (\textit{Similar to step 3.3 of -algorithm~\ref{fig:raddiv}} and then subsequently add a multiple of the divisor if the quotient was too large. +algorithm~\ref{fig:raddiv}} and then subsequently add a multiple of the divisor if the quotient was too large. -Now that the quotient has been determine finializing the result is a matter of clamping the quotient, fixing the sizes and de-normalizing the +Now that the quotient has been determine finializing the result is a matter of clamping the quotient, fixing the sizes and de-normalizing the remainder. An important aspect of this algorithm seemingly overlooked in other descriptions such as that of Algorithm 14.20 HAC \cite[pp. 598]{HAC} -is that when the estimations are being made (\textit{inside the loop on step 13.5}) that the digits $y_{t-1}$, $x_{i-2}$ and $x_{i-1}$ may lie +is that when the estimations are being made (\textit{inside the loop on step 13.5}) that the digits $y_{t-1}$, $x_{i-2}$ and $x_{i-1}$ may lie outside their respective boundaries. For example, if $t = 0$ or $i \le 1$ then the digits would be undefined. In those cases the digits should -respectively be replaced with a zero. +respectively be replaced with a zero. EXAM,bn_mp_div.c The implementation of this algorithm differs slightly from the pseudo code presented previously. In this algorithm either of the quotient $c$ or remainder $d$ may be passed as a \textbf{NULL} pointer which indicates their value is not desired. For example, the C code to call the division -algorithm with only the quotient is +algorithm with only the quotient is \begin{verbatim} mp_div(&a, &b, &c, NULL); /* c = [a/b] */ \end{verbatim} -Lines @108,if@ and @113,if@ handle the two trivial cases of inputs which are division by zero and dividend smaller than the divisor -respectively. After the two trivial cases all of the temporary variables are initialized. Line @147,neg@ determines the sign of -the quotient and line @148,sign@ ensures that both $x$ and $y$ are positive. +Lines @108,if@ and @113,if@ handle the two trivial cases of inputs which are division by zero and dividend smaller than the divisor +respectively. After the two trivial cases all of the temporary variables are initialized. Line @147,neg@ determines the sign of +the quotient and line @148,sign@ ensures that both $x$ and $y$ are positive. The number of bits in the leading digit is calculated on line @151,norm@. Implictly an mp\_int with $r$ digits will require $lg(\beta)(r-1) + k$ bits of precision which when reduced modulo $lg(\beta)$ produces the value of $k$. In this case $k$ is the number of bits in the leading digit which is exactly what is required. For the algorithm to operate $k$ must equal $lg(\beta) - 1$ and when it does not the inputs must be normalized by shifting them to the left by $lg(\beta) - 1 - k$ bits. -Throughout the variables $n$ and $t$ will represent the highest digit of $x$ and $y$ respectively. These are first used to produce the +Throughout the variables $n$ and $t$ will represent the highest digit of $x$ and $y$ respectively. These are first used to produce the leading digit of the quotient. The loop beginning on line @184,for@ will produce the remainder of the quotient digits. The conditional ``continue'' on line @186,continue@ is used to prevent the algorithm from reading past the leading edge of $x$ which can occur when the algorithm eliminates multiple non-zero digits in a single iteration. This ensures that $x_i$ is always non-zero since by definition the digits -above the $i$'th position $x$ must be zero in order for the quotient to be precise\footnote{Precise as far as integer division is concerned.}. +above the $i$'th position $x$ must be zero in order for the quotient to be precise\footnote{Precise as far as integer division is concerned.}. -Lines @214,t1@, @216,t1@ and @222,t2@ through @225,t2@ manually construct the high accuracy estimations by setting the digits of the two mp\_int -variables directly. +Lines @214,t1@, @216,t1@ and @222,t2@ through @225,t2@ manually construct the high accuracy estimations by setting the digits of the two mp\_int +variables directly. \section{Single Digit Helpers} -This section briefly describes a series of single digit helper algorithms which come in handy when working with small constants. All of +This section briefly describes a series of single digit helper algorithms which come in handy when working with small constants. All of the helper functions assume the single digit input is positive and will treat them as such. \subsection{Single Digit Addition and Subtraction} -Both addition and subtraction are performed by ``cheating'' and using mp\_set followed by the higher level addition or subtraction +Both addition and subtraction are performed by ``cheating'' and using mp\_set followed by the higher level addition or subtraction algorithms. As a result these algorithms are subtantially simpler with a slight cost in performance. \newpage\begin{figure}[!here] @@ -5322,17 +5311,17 @@ only has one digit. \caption{Algorithm mp\_mul\_d} \end{figure} \textbf{Algorithm mp\_mul\_d.} -This algorithm quickly multiplies an mp\_int by a small single digit value. It is specially tailored to the job and has a minimal of overhead. -Unlike the full multiplication algorithms this algorithm does not require any significnat temporary storage or memory allocations. +This algorithm quickly multiplies an mp\_int by a small single digit value. It is specially tailored to the job and has a minimal of overhead. +Unlike the full multiplication algorithms this algorithm does not require any significnat temporary storage or memory allocations. EXAM,bn_mp_mul_d.c -In this implementation the destination $c$ may point to the same mp\_int as the source $a$ since the result is written after the digit is -read from the source. This function uses pointer aliases $tmpa$ and $tmpc$ for the digits of $a$ and $c$ respectively. +In this implementation the destination $c$ may point to the same mp\_int as the source $a$ since the result is written after the digit is +read from the source. This function uses pointer aliases $tmpa$ and $tmpc$ for the digits of $a$ and $c$ respectively. \subsection{Single Digit Division} Like the single digit multiplication algorithm, single digit division is also a fairly common algorithm used in radix conversion. Since the -divisor is only a single digit a specialized variant of the division algorithm can be used to compute the quotient. +divisor is only a single digit a specialized variant of the division algorithm can be used to compute the quotient. \newpage\begin{figure}[!here] \begin{small} @@ -5369,35 +5358,35 @@ divisor is only a single digit a specialized variant of the division algorithm c \textbf{Algorithm mp\_div\_d.} This algorithm divides the mp\_int $a$ by the single mp\_digit $b$ using an optimized approach. Essentially in every iteration of the algorithm another digit of the dividend is reduced and another digit of quotient produced. Provided $b < \beta$ the value of $\hat w$ -after step 7.1 will be limited such that $0 \le \lfloor \hat w / b \rfloor < \beta$. +after step 7.1 will be limited such that $0 \le \lfloor \hat w / b \rfloor < \beta$. If the divisor $b$ is equal to three a variant of this algorithm is used which is called mp\_div\_3. It replaces the division by three with a multiplication by $\lfloor \beta / 3 \rfloor$ and the appropriate shift and residual fixup. In essence it is much like the Barrett reduction -from chapter seven. +from chapter seven. EXAM,bn_mp_div_d.c Like the implementation of algorithm mp\_div this algorithm allows either of the quotient or remainder to be passed as a \textbf{NULL} pointer to indicate the respective value is not required. This allows a trivial single digit modular reduction algorithm, mp\_mod\_d to be created. -The division and remainder on lines @44,/@ and @45,%@ can be replaced often by a single division on most processors. For example, the 32-bit x86 based -processors can divide a 64-bit quantity by a 32-bit quantity and produce the quotient and remainder simultaneously. Unfortunately the GCC -compiler does not recognize that optimization and will actually produce two function calls to find the quotient and remainder respectively. +The division and remainder on lines @90,/@ and @91,-@ can be replaced often by a single division on most processors. For example, the 32-bit x86 based +processors can divide a 64-bit quantity by a 32-bit quantity and produce the quotient and remainder simultaneously. Unfortunately the GCC +compiler does not recognize that optimization and will actually produce two function calls to find the quotient and remainder respectively. \subsection{Single Digit Root Extraction} -Finding the $n$'th root of an integer is fairly easy as far as numerical analysis is concerned. Algorithms such as the Newton-Raphson approximation -(\ref{eqn:newton}) series will converge very quickly to a root for any continuous function $f(x)$. +Finding the $n$'th root of an integer is fairly easy as far as numerical analysis is concerned. Algorithms such as the Newton-Raphson approximation +(\ref{eqn:newton}) series will converge very quickly to a root for any continuous function $f(x)$. \begin{equation} x_{i+1} = x_i - {f(x_i) \over f'(x_i)} \label{eqn:newton} \end{equation} -In this case the $n$'th root is desired and $f(x) = x^n - a$ where $a$ is the integer of which the root is desired. The derivative of $f(x)$ is +In this case the $n$'th root is desired and $f(x) = x^n - a$ where $a$ is the integer of which the root is desired. The derivative of $f(x)$ is simply $f'(x) = nx^{n - 1}$. Of particular importance is that this algorithm will be used over the integers not over the a more continuous domain -such as the real numbers. As a result the root found can be above the true root by few and must be manually adjusted. Ideally at the end of the -algorithm the $n$'th root $b$ of an integer $a$ is desired such that $b^n \le a$. +such as the real numbers. As a result the root found can be above the true root by few and must be manually adjusted. Ideally at the end of the +algorithm the $n$'th root $b$ of an integer $a$ is desired such that $b^n \le a$. \newpage\begin{figure}[!here] \begin{small} @@ -5438,19 +5427,19 @@ algorithm the $n$'th root $b$ of an integer $a$ is desired such that $b^n \le a$ \textbf{Algorithm mp\_n\_root.} This algorithm finds the integer $n$'th root of an input using the Newton-Raphson approach. It is partially optimized based on the observation that the numerator of ${f(x) \over f'(x)}$ can be derived from a partial denominator. That is at first the denominator is calculated by finding -$x^{b - 1}$. This value can then be multiplied by $x$ and have $a$ subtracted from it to find the numerator. This saves a total of $b - 1$ -multiplications by t$1$ inside the loop. +$x^{b - 1}$. This value can then be multiplied by $x$ and have $a$ subtracted from it to find the numerator. This saves a total of $b - 1$ +multiplications by t$1$ inside the loop. The initial value of the approximation is t$2 = 2$ which allows the algorithm to start with very small values and quickly converge on the -root. Ideally this algorithm is meant to find the $n$'th root of an input where $n$ is bounded by $2 \le n \le 5$. +root. Ideally this algorithm is meant to find the $n$'th root of an input where $n$ is bounded by $2 \le n \le 5$. EXAM,bn_mp_n_root.c \section{Random Number Generation} -Random numbers come up in a variety of activities from public key cryptography to simple simulations and various randomized algorithms. Pollard-Rho +Random numbers come up in a variety of activities from public key cryptography to simple simulations and various randomized algorithms. Pollard-Rho factoring for example, can make use of random values as starting points to find factors of a composite integer. In this case the algorithm presented -is solely for simulations and not intended for cryptographic use. +is solely for simulations and not intended for cryptographic use. \newpage\begin{figure}[!here] \begin{small} @@ -5478,7 +5467,7 @@ is solely for simulations and not intended for cryptographic use. \textbf{Algorithm mp\_rand.} This algorithm produces a pseudo-random integer of $b$ digits. By ensuring that the first digit is non-zero the algorithm also guarantees that the final result has at least $b$ digits. It relies heavily on a third-part random number generator which should ideally generate uniformly all of -the integers from $0$ to $\beta - 1$. +the integers from $0$ to $\beta - 1$. EXAM,bn_mp_rand.c @@ -5488,7 +5477,7 @@ be given a string of characters such as ``114585'' and turn it into the radix-$\ into a program. \subsection{Reading Radix-n Input} -For the purposes of this text we will assume that a simple lower ASCII map (\ref{fig:ASC}) is used for the values of from $0$ to $63$ to +For the purposes of this text we will assume that a simple lower ASCII map (\ref{fig:ASC}) is used for the values of from $0$ to $63$ to printable characters. For example, when the character ``N'' is read it represents the integer $23$. The first $16$ characters of the map are for the common representations up to hexadecimal. After that they match the ``base64'' encoding scheme which are suitable chosen such that they are printable. While outputting as base64 may not be too helpful for human operators it does allow communication via non binary @@ -5498,7 +5487,7 @@ mediums. \begin{center} \begin{tabular}{cc|cc|cc|cc} \hline \textbf{Value} & \textbf{Char} & \textbf{Value} & \textbf{Char} & \textbf{Value} & \textbf{Char} & \textbf{Value} & \textbf{Char} \\ -\hline +\hline 0 & 0 & 1 & 1 & 2 & 2 & 3 & 3 \\ 4 & 4 & 5 & 5 & 6 & 6 & 7 & 7 \\ 8 & 8 & 9 & 9 & 10 & A & 11 & B \\ @@ -5552,7 +5541,7 @@ mediums. \caption{Algorithm mp\_read\_radix} \end{figure} \textbf{Algorithm mp\_read\_radix.} -This algorithm will read an ASCII string and produce the radix-$\beta$ mp\_int representation of the same integer. A minus symbol ``-'' may precede the +This algorithm will read an ASCII string and produce the radix-$\beta$ mp\_int representation of the same integer. A minus symbol ``-'' may precede the string to indicate the value is negative, otherwise it is assumed to be positive. The algorithm will read up to $sn$ characters from the input and will stop when it reads a character it cannot map the algorithm stops reading characters from the string. This allows numbers to be embedded as part of larger input without any significant problem. @@ -5560,7 +5549,7 @@ as part of larger input without any significant problem. EXAM,bn_mp_read_radix.c \subsection{Generating Radix-$n$ Output} -Generating radix-$n$ output is fairly trivial with a division and remainder algorithm. +Generating radix-$n$ output is fairly trivial with a division and remainder algorithm. \newpage\begin{figure}[!here] \begin{small} @@ -5594,10 +5583,10 @@ Generating radix-$n$ output is fairly trivial with a division and remainder algo \caption{Algorithm mp\_toradix} \end{figure} \textbf{Algorithm mp\_toradix.} -This algorithm computes the radix-$r$ representation of an mp\_int $a$. The ``digits'' of the representation are extracted by reducing +This algorithm computes the radix-$r$ representation of an mp\_int $a$. The ``digits'' of the representation are extracted by reducing successive powers of $\lfloor a / r^k \rfloor$ the input modulo $r$ until $r^k > a$. Note that instead of actually dividing by $r^k$ in each iteration the quotient $\lfloor a / r \rfloor$ is saved for the next iteration. As a result a series of trivial $n \times 1$ divisions -are required instead of a series of $n \times k$ divisions. One design flaw of this approach is that the digits are produced in the reverse order +are required instead of a series of $n \times k$ divisions. One design flaw of this approach is that the digits are produced in the reverse order (see~\ref{fig:mpradix}). To remedy this flaw the digits must be swapped or simply ``reversed''. \begin{figure} @@ -5619,7 +5608,7 @@ are required instead of a series of $n \times k$ divisions. One design flaw of EXAM,bn_mp_toradix.c \chapter{Number Theoretic Algorithms} -This chapter discusses several fundamental number theoretic algorithms such as the greatest common divisor, least common multiple and Jacobi +This chapter discusses several fundamental number theoretic algorithms such as the greatest common divisor, least common multiple and Jacobi symbol computation. These algorithms arise as essential components in several key cryptographic algorithms such as the RSA public key algorithm and various Sieve based factoring algorithms. @@ -5629,7 +5618,7 @@ both $a$ and $b$. That is, $k$ is the largest integer such that $0 \equiv a \mb simultaneously. The most common approach (cite) is to reduce one input modulo another. That is if $a$ and $b$ are divisible by some integer $k$ and if $qa + r = b$ then -$r$ is also divisible by $k$. The reduction pattern follows $\left < a , b \right > \rightarrow \left < b, a \mbox{ mod } b \right >$. +$r$ is also divisible by $k$. The reduction pattern follows $\left < a , b \right > \rightarrow \left < b, a \mbox{ mod } b \right >$. \newpage\begin{figure}[!here] \begin{small} @@ -5653,9 +5642,9 @@ $r$ is also divisible by $k$. The reduction pattern follows $\left < a , b \rig \end{figure} This algorithm will quickly converge on the greatest common divisor since the residue $r$ tends diminish rapidly. However, divisions are -relatively expensive operations to perform and should ideally be avoided. There is another approach based on a similar relationship of -greatest common divisors. The faster approach is based on the observation that if $k$ divides both $a$ and $b$ it will also divide $a - b$. -In particular, we would like $a - b$ to decrease in magnitude which implies that $b \ge a$. +relatively expensive operations to perform and should ideally be avoided. There is another approach based on a similar relationship of +greatest common divisors. The faster approach is based on the observation that if $k$ divides both $a$ and $b$ it will also divide $a - b$. +In particular, we would like $a - b$ to decrease in magnitude which implies that $b \ge a$. \begin{figure}[!here] \begin{small} @@ -5679,17 +5668,17 @@ In particular, we would like $a - b$ to decrease in magnitude which implies that \textbf{Proof} \textit{Algorithm~\ref{fig:gcd2} will return the greatest common divisor of $a$ and $b$.} The algorithm in figure~\ref{fig:gcd2} will eventually terminate since $b \ge a$ the subtraction in step 1.2 will be a value less than $b$. In other -words in every iteration that tuple $\left < a, b \right >$ decrease in magnitude until eventually $a = b$. Since both $a$ and $b$ are always -divisible by the greatest common divisor (\textit{until the last iteration}) and in the last iteration of the algorithm $b = 0$, therefore, in the +words in every iteration that tuple $\left < a, b \right >$ decrease in magnitude until eventually $a = b$. Since both $a$ and $b$ are always +divisible by the greatest common divisor (\textit{until the last iteration}) and in the last iteration of the algorithm $b = 0$, therefore, in the second to last iteration of the algorithm $b = a$ and clearly $(a, a) = a$ which concludes the proof. \textbf{QED}. -As a matter of practicality algorithm \ref{fig:gcd1} decreases far too slowly to be useful. Specially if $b$ is much larger than $a$ such that +As a matter of practicality algorithm \ref{fig:gcd1} decreases far too slowly to be useful. Specially if $b$ is much larger than $a$ such that $b - a$ is still very much larger than $a$. A simple addition to the algorithm is to divide $b - a$ by a power of some integer $p$ which does not divide the greatest common divisor but will divide $b - a$. In this case ${b - a} \over p$ is also an integer and still divisible by the greatest common divisor. -However, instead of factoring $b - a$ to find a suitable value of $p$ the powers of $p$ can be removed from $a$ and $b$ that are in common first. -Then inside the loop whenever $b - a$ is divisible by some power of $p$ it can be safely removed. +However, instead of factoring $b - a$ to find a suitable value of $p$ the powers of $p$ can be removed from $a$ and $b$ that are in common first. +Then inside the loop whenever $b - a$ is divisible by some power of $p$ it can be safely removed. \begin{figure}[!here] \begin{small} @@ -5722,14 +5711,14 @@ Then inside the loop whenever $b - a$ is divisible by some power of $p$ it can b \label{fig:gcd3} \end{figure} -This algorithm is based on the first except it removes powers of $p$ first and inside the main loop to ensure the tuple $\left < a, b \right >$ +This algorithm is based on the first except it removes powers of $p$ first and inside the main loop to ensure the tuple $\left < a, b \right >$ decreases more rapidly. The first loop on step two removes powers of $p$ that are in common. A count, $k$, is kept which will present a common -divisor of $p^k$. After step two the remaining common divisor of $a$ and $b$ cannot be divisible by $p$. This means that $p$ can be safely -divided out of the difference $b - a$ so long as the division leaves no remainder. +divisor of $p^k$. After step two the remaining common divisor of $a$ and $b$ cannot be divisible by $p$. This means that $p$ can be safely +divided out of the difference $b - a$ so long as the division leaves no remainder. In particular the value of $p$ should be chosen such that the division on step 5.3.1 occur often. It also helps that division by $p$ be easy to compute. The ideal choice of $p$ is two since division by two amounts to a right logical shift. Another important observation is that by -step five both $a$ and $b$ are odd. Therefore, the diffrence $b - a$ must be even which means that each iteration removes one bit from the +step five both $a$ and $b$ are odd. Therefore, the diffrence $b - a$ must be even which means that each iteration removes one bit from the largest of the pair. \subsection{Complete Greatest Common Divisor} @@ -5777,15 +5766,15 @@ and will produce the greatest common divisor. \textbf{Algorithm mp\_gcd.} This algorithm will produce the greatest common divisor of two mp\_ints $a$ and $b$. The algorithm was originally based on Algorithm B of Knuth \cite[pp. 338]{TAOCPV2} but has been modified to be simpler to explain. In theory it achieves the same asymptotic working time as -Algorithm B and in practice this appears to be true. +Algorithm B and in practice this appears to be true. -The first two steps handle the cases where either one of or both inputs are zero. If either input is zero the greatest common divisor is the -largest input or zero if they are both zero. If the inputs are not trivial than $u$ and $v$ are assigned the absolute values of +The first two steps handle the cases where either one of or both inputs are zero. If either input is zero the greatest common divisor is the +largest input or zero if they are both zero. If the inputs are not trivial than $u$ and $v$ are assigned the absolute values of $a$ and $b$ respectively and the algorithm will proceed to reduce the pair. Step five will divide out any common factors of two and keep track of the count in the variable $k$. After this step, two is no longer a -factor of the remaining greatest common divisor between $u$ and $v$ and can be safely evenly divided out of either whenever they are even. Step -six and seven ensure that the $u$ and $v$ respectively have no more factors of two. At most only one of the while--loops will iterate since +factor of the remaining greatest common divisor between $u$ and $v$ and can be safely evenly divided out of either whenever they are even. Step +six and seven ensure that the $u$ and $v$ respectively have no more factors of two. At most only one of the while--loops will iterate since they cannot both be even. By step eight both of $u$ and $v$ are odd which is required for the inner logic. First the pair are swapped such that $v$ is equal to @@ -5793,22 +5782,22 @@ or greater than $u$. This ensures that the subtraction on step 8.2 will always factors of two from the difference $u$ to ensure that in the next iteration of the loop both are once again odd. After $v = 0$ occurs the variable $u$ has the greatest common divisor of the pair $\left < u, v \right >$ just after step six. The result -must be adjusted by multiplying by the common factors of two ($2^k$) removed earlier. +must be adjusted by multiplying by the common factors of two ($2^k$) removed earlier. EXAM,bn_mp_gcd.c -This function makes use of the macros mp\_iszero and mp\_iseven. The former evaluates to $1$ if the input mp\_int is equivalent to the +This function makes use of the macros mp\_iszero and mp\_iseven. The former evaluates to $1$ if the input mp\_int is equivalent to the integer zero otherwise it evaluates to $0$. The latter evaluates to $1$ if the input mp\_int represents a non-zero even integer otherwise -it evaluates to $0$. Note that just because mp\_iseven may evaluate to $0$ does not mean the input is odd, it could also be zero. The three +it evaluates to $0$. Note that just because mp\_iseven may evaluate to $0$ does not mean the input is odd, it could also be zero. The three trivial cases of inputs are handled on lines @23,zero@ through @29,}@. After those lines the inputs are assumed to be non-zero. -Lines @32,if@ and @36,if@ make local copies $u$ and $v$ of the inputs $a$ and $b$ respectively. At this point the common factors of two +Lines @32,if@ and @36,if@ make local copies $u$ and $v$ of the inputs $a$ and $b$ respectively. At this point the common factors of two must be divided out of the two inputs. The block starting at line @43,common@ removes common factors of two by first counting the number of trailing -zero bits in both. The local integer $k$ is used to keep track of how many factors of $2$ are pulled out of both values. It is assumed that -the number of factors will not exceed the maximum value of a C ``int'' data type\footnote{Strictly speaking no array in C may have more than -entries than are accessible by an ``int'' so this is not a limitation.}. +zero bits in both. The local integer $k$ is used to keep track of how many factors of $2$ are pulled out of both values. It is assumed that +the number of factors will not exceed the maximum value of a C ``int'' data type\footnote{Strictly speaking no array in C may have more than +entries than are accessible by an ``int'' so this is not a limitation.}. -At this point there are no more common factors of two in the two values. The divisions by a power of two on lines @60,div_2d@ and @67,div_2d@ remove +At this point there are no more common factors of two in the two values. The divisions by a power of two on lines @60,div_2d@ and @67,div_2d@ remove any independent factors of two such that both $u$ and $v$ are guaranteed to be an odd integer before hitting the main body of the algorithm. The while loop on line @72, while@ performs the reduction of the pair until $v$ is equal to zero. The unsigned comparison and subtraction algorithms are used in place of the full signed routines since both values are guaranteed to be positive and the result of the subtraction is guaranteed to be non-negative. @@ -5819,8 +5808,8 @@ least common multiple is normally denoted as $[ a, b ]$ and numerically equivale and $b = 2 \cdot 3 \cdot 3 \cdot 7 = 126$ the least common multiple is ${126 \over {(12, 126)}} = {126 \over 6} = 21$. The least common multiple arises often in coding theory as well as number theory. If two functions have periods of $a$ and $b$ respectively they will -collide, that is be in synchronous states, after only $[ a, b ]$ iterations. This is why, for example, random number generators based on -Linear Feedback Shift Registers (LFSR) tend to use registers with periods which are co-prime (\textit{e.g. the greatest common divisor is one.}). +collide, that is be in synchronous states, after only $[ a, b ]$ iterations. This is why, for example, random number generators based on +Linear Feedback Shift Registers (LFSR) tend to use registers with periods which are co-prime (\textit{e.g. the greatest common divisor is one.}). Similarly in number theory if a composite $n$ has two prime factors $p$ and $q$ then maximal order of any unit of $\Z/n\Z$ will be $[ p - 1, q - 1] $. \begin{figure}[!here] @@ -5848,7 +5837,7 @@ dividing the product of the two inputs by their greatest common divisor. EXAM,bn_mp_lcm.c \section{Jacobi Symbol Computation} -To explain the Jacobi Symbol we shall first discuss the Legendre function\footnote{Arrg. What is the name of this?} off which the Jacobi symbol is +To explain the Jacobi Symbol we shall first discuss the Legendre function\footnote{Arrg. What is the name of this?} off which the Jacobi symbol is defined. The Legendre function computes whether or not an integer $a$ is a quadratic residue modulo an odd prime $p$. Numerically it is equivalent to equation \ref{eqn:legendre}. @@ -5858,9 +5847,9 @@ equivalent to equation \ref{eqn:legendre}. a^{(p-1)/2} \equiv \begin{array}{rl} -1 & \mbox{if }a\mbox{ is a quadratic non-residue.} \\ 0 & \mbox{if }a\mbox{ divides }p\mbox{.} \\ - 1 & \mbox{if }a\mbox{ is a quadratic residue}. + 1 & \mbox{if }a\mbox{ is a quadratic residue}. \end{array} \mbox{ (mod }p\mbox{)} -\label{eqn:legendre} +\label{eqn:legendre} \end{equation} \textbf{Proof.} \textit{Equation \ref{eqn:legendre} correctly identifies the residue status of an integer $a$ modulo a prime $p$.} @@ -5884,7 +5873,7 @@ then the quantity in the braces must be zero. By reduction, \begin{eqnarray} \left (x^2 \right )^{(p-1)/2} - a^{(p-1)/2} \equiv 0 \nonumber \\ \left (x^2 \right )^{(p-1)/2} \equiv a^{(p-1)/2} \nonumber \\ -x^2 \equiv a \mbox{ (mod }p\mbox{)} +x^2 \equiv a \mbox{ (mod }p\mbox{)} \end{eqnarray} As a result there must be a solution to the quadratic equation and in turn $a$ must be a quadratic residue. If $a$ does not divide $p$ and $a$ @@ -5904,47 +5893,47 @@ the Jacobi symbol $\left ( { a \over p } \right )$ is equal to the following equ By inspection if $p$ is prime the Jacobi symbol is equivalent to the Legendre function. The following facts\footnote{See HAC \cite[pp. 72-74]{HAC} for further details.} will be used to derive an efficient Jacobi symbol algorithm. Where $p$ is an odd integer greater than two and $a, b \in \Z$ the -following are true. +following are true. \begin{enumerate} -\item $\left ( { a \over p} \right )$ equals $-1$, $0$ or $1$. +\item $\left ( { a \over p} \right )$ equals $-1$, $0$ or $1$. \item $\left ( { ab \over p} \right ) = \left ( { a \over p} \right )\left ( { b \over p} \right )$. \item If $a \equiv b$ then $\left ( { a \over p} \right ) = \left ( { b \over p} \right )$. \item $\left ( { 2 \over p} \right )$ equals $1$ if $p \equiv 1$ or $7 \mbox{ (mod }8\mbox{)}$. Otherwise, it equals $-1$. -\item $\left ( { a \over p} \right ) \equiv \left ( { p \over a} \right ) \cdot (-1)^{(p-1)(a-1)/4}$. More specifically -$\left ( { a \over p} \right ) = \left ( { p \over a} \right )$ if $p \equiv a \equiv 1 \mbox{ (mod }4\mbox{)}$. +\item $\left ( { a \over p} \right ) \equiv \left ( { p \over a} \right ) \cdot (-1)^{(p-1)(a-1)/4}$. More specifically +$\left ( { a \over p} \right ) = \left ( { p \over a} \right )$ if $p \equiv a \equiv 1 \mbox{ (mod }4\mbox{)}$. \end{enumerate} Using these facts if $a = 2^k \cdot a'$ then \begin{eqnarray} \left ( { a \over p } \right ) = \left ( {{2^k} \over p } \right ) \left ( {a' \over p} \right ) \nonumber \\ - = \left ( {2 \over p } \right )^k \left ( {a' \over p} \right ) + = \left ( {2 \over p } \right )^k \left ( {a' \over p} \right ) \label{eqn:jacobi} \end{eqnarray} -By fact five, +By fact five, \begin{equation} -\left ( { a \over p } \right ) = \left ( { p \over a } \right ) \cdot (-1)^{(p-1)(a-1)/4} +\left ( { a \over p } \right ) = \left ( { p \over a } \right ) \cdot (-1)^{(p-1)(a-1)/4} \end{equation} -Subsequently by fact three since $p \equiv (p \mbox{ mod }a) \mbox{ (mod }a\mbox{)}$ then +Subsequently by fact three since $p \equiv (p \mbox{ mod }a) \mbox{ (mod }a\mbox{)}$ then \begin{equation} -\left ( { a \over p } \right ) = \left ( { {p \mbox{ mod } a} \over a } \right ) \cdot (-1)^{(p-1)(a-1)/4} +\left ( { a \over p } \right ) = \left ( { {p \mbox{ mod } a} \over a } \right ) \cdot (-1)^{(p-1)(a-1)/4} \end{equation} By putting both observations into equation \ref{eqn:jacobi} the following simplified equation is formed. \begin{equation} -\left ( { a \over p } \right ) = \left ( {2 \over p } \right )^k \left ( {{p\mbox{ mod }a'} \over a'} \right ) \cdot (-1)^{(p-1)(a'-1)/4} +\left ( { a \over p } \right ) = \left ( {2 \over p } \right )^k \left ( {{p\mbox{ mod }a'} \over a'} \right ) \cdot (-1)^{(p-1)(a'-1)/4} \end{equation} -The value of $\left ( {{p \mbox{ mod }a'} \over a'} \right )$ can be found by using the same equation recursively. The value of -$\left ( {2 \over p } \right )^k$ equals $1$ if $k$ is even otherwise it equals $\left ( {2 \over p } \right )$. Using this approach the -factors of $p$ do not have to be known. Furthermore, if $(a, p) = 1$ then the algorithm will terminate when the recursion requests the -Jacobi symbol computation of $\left ( {1 \over a'} \right )$ which is simply $1$. +The value of $\left ( {{p \mbox{ mod }a'} \over a'} \right )$ can be found by using the same equation recursively. The value of +$\left ( {2 \over p } \right )^k$ equals $1$ if $k$ is even otherwise it equals $\left ( {2 \over p } \right )$. Using this approach the +factors of $p$ do not have to be known. Furthermore, if $(a, p) = 1$ then the algorithm will terminate when the recursion requests the +Jacobi symbol computation of $\left ( {1 \over a'} \right )$ which is simply $1$. \newpage\begin{figure}[!here] \begin{small} @@ -5988,12 +5977,12 @@ Jacobi symbol computation of $\left ( {1 \over a'} \right )$ which is simply $1$ \end{figure} \textbf{Algorithm mp\_jacobi.} This algorithm computes the Jacobi symbol for an arbitrary positive integer $a$ with respect to an odd integer $p$ greater than three. The algorithm -is based on algorithm 2.149 of HAC \cite[pp. 73]{HAC}. +is based on algorithm 2.149 of HAC \cite[pp. 73]{HAC}. Step numbers one and two handle the trivial cases of $a = 0$ and $a = 1$ respectively. Step five determines the number of two factors in the -input $a$. If $k$ is even than the term $\left ( { 2 \over p } \right )^k$ must always evaluate to one. If $k$ is odd than the term evaluates to one -if $p_0$ is congruent to one or seven modulo eight, otherwise it evaluates to $-1$. After the the $\left ( { 2 \over p } \right )^k$ term is handled -the $(-1)^{(p-1)(a'-1)/4}$ is computed and multiplied against the current product $s$. The latter term evaluates to one if both $p$ and $a'$ +input $a$. If $k$ is even than the term $\left ( { 2 \over p } \right )^k$ must always evaluate to one. If $k$ is odd than the term evaluates to one +if $p_0$ is congruent to one or seven modulo eight, otherwise it evaluates to $-1$. After the the $\left ( { 2 \over p } \right )^k$ term is handled +the $(-1)^{(p-1)(a'-1)/4}$ is computed and multiplied against the current product $s$. The latter term evaluates to one if both $p$ and $a'$ are congruent to one modulo four, otherwise it evaluates to negative one. By step nine if $a'$ does not equal one a recursion is required. Step 9.1 computes $p' \equiv p \mbox{ (mod }a'\mbox{)}$ and will recurse to compute @@ -6001,22 +5990,22 @@ $\left ( {p' \over a'} \right )$ which is multiplied against the current Jacobi EXAM,bn_mp_jacobi.c -As a matter of practicality the variable $a'$ as per the pseudo-code is reprensented by the variable $a1$ since the $'$ symbol is not valid for a C -variable name character. +As a matter of practicality the variable $a'$ as per the pseudo-code is reprensented by the variable $a1$ since the $'$ symbol is not valid for a C +variable name character. The two simple cases of $a = 0$ and $a = 1$ are handled at the very beginning to simplify the algorithm. If the input is non-trivial the algorithm has to proceed compute the Jacobi. The variable $s$ is used to hold the current Jacobi product. Note that $s$ is merely a C ``int'' data type since -the values it may obtain are merely $-1$, $0$ and $1$. +the values it may obtain are merely $-1$, $0$ and $1$. After a local copy of $a$ is made all of the factors of two are divided out and the total stored in $k$. Technically only the least significant -bit of $k$ is required, however, it makes the algorithm simpler to follow to perform an addition. In practice an exclusive-or and addition have the same +bit of $k$ is required, however, it makes the algorithm simpler to follow to perform an addition. In practice an exclusive-or and addition have the same processor requirements and neither is faster than the other. Line @59, if@ through @70, }@ determines the value of $\left ( { 2 \over p } \right )^k$. If the least significant bit of $k$ is zero than $k$ is even and the value is one. Otherwise, the value of $s$ depends on which residue class $p$ belongs to modulo eight. The value of -$(-1)^{(p-1)(a'-1)/4}$ is compute and multiplied against $s$ on lines @73, if@ through @75, }@. +$(-1)^{(p-1)(a'-1)/4}$ is compute and multiplied against $s$ on lines @73, if@ through @75, }@. -Finally, if $a1$ does not equal one the algorithm must recurse and compute $\left ( {p' \over a'} \right )$. +Finally, if $a1$ does not equal one the algorithm must recurse and compute $\left ( {p' \over a'} \right )$. \textit{-- Comment about default $s$ and such...} @@ -6024,31 +6013,31 @@ Finally, if $a1$ does not equal one the algorithm must recurse and compute $\lef \label{sec:modinv} The modular inverse of a number actually refers to the modular multiplicative inverse. Essentially for any integer $a$ such that $(a, p) = 1$ there exist another integer $b$ such that $ab \equiv 1 \mbox{ (mod }p\mbox{)}$. The integer $b$ is called the multiplicative inverse of $a$ which is -denoted as $b = a^{-1}$. Technically speaking modular inversion is a well defined operation for any finite ring or field not just for rings and +denoted as $b = a^{-1}$. Technically speaking modular inversion is a well defined operation for any finite ring or field not just for rings and fields of integers. However, the former will be the matter of discussion. -The simplest approach is to compute the algebraic inverse of the input. That is to compute $b \equiv a^{\Phi(p) - 1}$. If $\Phi(p)$ is the +The simplest approach is to compute the algebraic inverse of the input. That is to compute $b \equiv a^{\Phi(p) - 1}$. If $\Phi(p)$ is the order of the multiplicative subgroup modulo $p$ then $b$ must be the multiplicative inverse of $a$. The proof of which is trivial. \begin{equation} ab \equiv a \left (a^{\Phi(p) - 1} \right ) \equiv a^{\Phi(p)} \equiv a^0 \equiv 1 \mbox{ (mod }p\mbox{)} \end{equation} -However, as simple as this approach may be it has two serious flaws. It requires that the value of $\Phi(p)$ be known which if $p$ is composite -requires all of the prime factors. This approach also is very slow as the size of $p$ grows. +However, as simple as this approach may be it has two serious flaws. It requires that the value of $\Phi(p)$ be known which if $p$ is composite +requires all of the prime factors. This approach also is very slow as the size of $p$ grows. -A simpler approach is based on the observation that solving for the multiplicative inverse is equivalent to solving the linear +A simpler approach is based on the observation that solving for the multiplicative inverse is equivalent to solving the linear Diophantine\footnote{See LeVeque \cite[pp. 40-43]{LeVeque} for more information.} equation. \begin{equation} ab + pq = 1 \end{equation} -Where $a$, $b$, $p$ and $q$ are all integers. If such a pair of integers $ \left < b, q \right >$ exist than $b$ is the multiplicative inverse of -$a$ modulo $p$. The extended Euclidean algorithm (Knuth \cite[pp. 342]{TAOCPV2}) can be used to solve such equations provided $(a, p) = 1$. +Where $a$, $b$, $p$ and $q$ are all integers. If such a pair of integers $ \left < b, q \right >$ exist than $b$ is the multiplicative inverse of +$a$ modulo $p$. The extended Euclidean algorithm (Knuth \cite[pp. 342]{TAOCPV2}) can be used to solve such equations provided $(a, p) = 1$. However, instead of using that algorithm directly a variant known as the binary Extended Euclidean algorithm will be used in its place. The -binary approach is very similar to the binary greatest common divisor algorithm except it will produce a full solution to the Diophantine -equation. +binary approach is very similar to the binary greatest common divisor algorithm except it will produce a full solution to the Diophantine +equation. \subsection{General Case} \newpage\begin{figure}[!here] @@ -6100,12 +6089,12 @@ equation. \end{small} \end{figure} \textbf{Algorithm mp\_invmod.} -This algorithm computes the modular multiplicative inverse of an integer $a$ modulo an integer $b$. This algorithm is a variation of the +This algorithm computes the modular multiplicative inverse of an integer $a$ modulo an integer $b$. This algorithm is a variation of the extended binary Euclidean algorithm from HAC \cite[pp. 608]{HAC}. It has been modified to only compute the modular inverse and not a complete -Diophantine solution. +Diophantine solution. If $b \le 0$ than the modulus is invalid and MP\_VAL is returned. Similarly if both $a$ and $b$ are even then there cannot be a multiplicative -inverse for $a$ and the error is reported. +inverse for $a$ and the error is reported. The astute reader will observe that steps seven through nine are very similar to the binary greatest common divisor algorithm mp\_gcd. In this case the other variables to the Diophantine equation are solved. The algorithm terminates when $u = 0$ in which case the solution is @@ -6115,8 +6104,8 @@ Ca + Db = v \end{equation} If $v$, the greatest common divisor of $a$ and $b$ is not equal to one then the algorithm will report an error as no inverse exists. Otherwise, $C$ -is the modular inverse of $a$. The actual value of $C$ is congruent to, but not necessarily equal to, the ideal modular inverse which should lie -within $1 \le a^{-1} < b$. Step numbers twelve and thirteen adjust the inverse until it is in range. If the original input $a$ is within $0 < a < p$ +is the modular inverse of $a$. The actual value of $C$ is congruent to, but not necessarily equal to, the ideal modular inverse which should lie +within $1 \le a^{-1} < b$. Step numbers twelve and thirteen adjust the inverse until it is in range. If the original input $a$ is within $0 < a < p$ then only a couple of additions or subtractions will be required to adjust the inverse. EXAM,bn_mp_invmod.c @@ -6124,22 +6113,22 @@ EXAM,bn_mp_invmod.c \subsubsection{Odd Moduli} When the modulus $b$ is odd the variables $A$ and $C$ are fixed and are not required to compute the inverse. In particular by attempting to solve -the Diophantine $Cb + Da = 1$ only $B$ and $D$ are required to find the inverse of $a$. +the Diophantine $Cb + Da = 1$ only $B$ and $D$ are required to find the inverse of $a$. -The algorithm fast\_mp\_invmod is a direct adaptation of algorithm mp\_invmod with all all steps involving either $A$ or $C$ removed. This +The algorithm fast\_mp\_invmod is a direct adaptation of algorithm mp\_invmod with all all steps involving either $A$ or $C$ removed. This optimization will halve the time required to compute the modular inverse. \section{Primality Tests} -A non-zero integer $a$ is said to be prime if it is not divisible by any other integer excluding one and itself. For example, $a = 7$ is prime -since the integers $2 \ldots 6$ do not evenly divide $a$. By contrast, $a = 6$ is not prime since $a = 6 = 2 \cdot 3$. +A non-zero integer $a$ is said to be prime if it is not divisible by any other integer excluding one and itself. For example, $a = 7$ is prime +since the integers $2 \ldots 6$ do not evenly divide $a$. By contrast, $a = 6$ is not prime since $a = 6 = 2 \cdot 3$. Prime numbers arise in cryptography considerably as they allow finite fields to be formed. The ability to determine whether an integer is prime or not quickly has been a viable subject in cryptography and number theory for considerable time. The algorithms that will be presented are all probablistic algorithms in that when they report an integer is composite it must be composite. However, when the algorithms report an integer is -prime the algorithm may be incorrect. +prime the algorithm may be incorrect. -As will be discussed it is possible to limit the probability of error so well that for practical purposes the probablity of error might as +As will be discussed it is possible to limit the probability of error so well that for practical purposes the probablity of error might as well be zero. For the purposes of these discussions let $n$ represent the candidate integer of which the primality is in question. \subsection{Trial Division} @@ -6153,13 +6142,13 @@ of the primes less than $\sqrt{n} + 1$ the algorithm cannot prove if a candidate The benefit of this test is that trial division by small values is fairly efficient. Specially compared to the other algorithms that will be discussed shortly. The probability that this approach correctly identifies a composite candidate when tested with all primes upto $q$ is given by -$1 - {1.12 \over ln(q)}$. The graph (\ref{pic:primality}, will be added later) demonstrates the probability of success for the range -$3 \le q \le 100$. +$1 - {1.12 \over ln(q)}$. The graph (\ref{pic:primality}, will be added later) demonstrates the probability of success for the range +$3 \le q \le 100$. -At approximately $q = 30$ the gain of performing further tests diminishes fairly quickly. At $q = 90$ further testing is generally not going to -be of any practical use. In the case of LibTomMath the default limit $q = 256$ was chosen since it is not too high and will eliminate -approximately $80\%$ of all candidate integers. The constant \textbf{PRIME\_SIZE} is equal to the number of primes in the test base. The -array \_\_prime\_tab is an array of the first \textbf{PRIME\_SIZE} prime numbers. +At approximately $q = 30$ the gain of performing further tests diminishes fairly quickly. At $q = 90$ further testing is generally not going to +be of any practical use. In the case of LibTomMath the default limit $q = 256$ was chosen since it is not too high and will eliminate +approximately $80\%$ of all candidate integers. The constant \textbf{PRIME\_SIZE} is equal to the number of primes in the test base. The +array \_\_prime\_tab is an array of the first \textbf{PRIME\_SIZE} prime numbers. \begin{figure}[!here] \begin{small} @@ -6183,27 +6172,27 @@ array \_\_prime\_tab is an array of the first \textbf{PRIME\_SIZE} prime numbers \caption{Algorithm mp\_prime\_is\_divisible} \end{figure} \textbf{Algorithm mp\_prime\_is\_divisible.} -This algorithm attempts to determine if a candidate integer $n$ is composite by performing trial divisions. +This algorithm attempts to determine if a candidate integer $n$ is composite by performing trial divisions. EXAM,bn_mp_prime_is_divisible.c -The algorithm defaults to a return of $0$ in case an error occurs. The values in the prime table are all specified to be in the range of a +The algorithm defaults to a return of $0$ in case an error occurs. The values in the prime table are all specified to be in the range of a mp\_digit. The table \_\_prime\_tab is defined in the following file. EXAM,bn_prime_tab.c Note that there are two possible tables. When an mp\_digit is 7-bits long only the primes upto $127$ may be included, otherwise the primes -upto $1619$ are used. Note that the value of \textbf{PRIME\_SIZE} is a constant dependent on the size of a mp\_digit. +upto $1619$ are used. Note that the value of \textbf{PRIME\_SIZE} is a constant dependent on the size of a mp\_digit. \subsection{The Fermat Test} -The Fermat test is probably one the oldest tests to have a non-trivial probability of success. It is based on the fact that if $n$ is in +The Fermat test is probably one the oldest tests to have a non-trivial probability of success. It is based on the fact that if $n$ is in fact prime then $a^{n} \equiv a \mbox{ (mod }n\mbox{)}$ for all $0 < a < n$. The reason being that if $n$ is prime than the order of -the multiplicative sub group is $n - 1$. Any base $a$ must have an order which divides $n - 1$ and as such $a^n$ is equivalent to -$a^1 = a$. +the multiplicative sub group is $n - 1$. Any base $a$ must have an order which divides $n - 1$ and as such $a^n$ is equivalent to +$a^1 = a$. -If $n$ is composite then any given base $a$ does not have to have a period which divides $n - 1$. In which case +If $n$ is composite then any given base $a$ does not have to have a period which divides $n - 1$. In which case it is possible that $a^n \nequiv a \mbox{ (mod }n\mbox{)}$. However, this test is not absolute as it is possible that the order -of a base will divide $n - 1$ which would then be reported as prime. Such a base yields what is known as a Fermat pseudo-prime. Several +of a base will divide $n - 1$ which would then be reported as prime. Such a base yields what is known as a Fermat pseudo-prime. Several integers known as Carmichael numbers will be a pseudo-prime to all valid bases. Fortunately such numbers are extremely rare as $n$ grows in size. @@ -6229,13 +6218,13 @@ in size. \end{figure} \textbf{Algorithm mp\_prime\_fermat.} This algorithm determines whether an mp\_int $a$ is a Fermat prime to the base $b$ or not. It uses a single modular exponentiation to -determine the result. +determine the result. EXAM,bn_mp_prime_fermat.c \subsection{The Miller-Rabin Test} -The Miller-Rabin (citation) test is another primality test which has tighter error bounds than the Fermat test specifically with sequentially chosen -candidate integers. The algorithm is based on the observation that if $n - 1 = 2^kr$ and if $b^r \nequiv \pm 1$ then after upto $k - 1$ squarings the +The Miller-Rabin (citation) test is another primality test which has tighter error bounds than the Fermat test specifically with sequentially chosen +candidate integers. The algorithm is based on the observation that if $n - 1 = 2^kr$ and if $b^r \nequiv \pm 1$ then after upto $k - 1$ squarings the value must be equal to $-1$. The squarings are stopped as soon as $-1$ is observed. If the value of $1$ is observed first it means that some value not congruent to $\pm 1$ when squared equals one which cannot occur if $n$ is prime. @@ -6271,11 +6260,11 @@ some value not congruent to $\pm 1$ when squared equals one which cannot occur i \end{figure} \textbf{Algorithm mp\_prime\_miller\_rabin.} This algorithm performs one trial round of the Miller-Rabin algorithm to the base $b$. It will set $c = 1$ if the algorithm cannot determine -if $b$ is composite or $c = 0$ if $b$ is provably composite. The values of $s$ and $r$ are computed such that $a' = a - 1 = 2^sr$. +if $b$ is composite or $c = 0$ if $b$ is provably composite. The values of $s$ and $r$ are computed such that $a' = a - 1 = 2^sr$. If the value $y \equiv b^r$ is congruent to $\pm 1$ then the algorithm cannot prove if $a$ is composite or not. Otherwise, the algorithm will square $y$ upto $s - 1$ times stopping only when $y \equiv -1$. If $y^2 \equiv 1$ and $y \nequiv \pm 1$ then the algorithm can report that $a$ -is provably composite. If the algorithm performs $s - 1$ squarings and $y \nequiv -1$ then $a$ is provably composite. If $a$ is not provably +is provably composite. If the algorithm performs $s - 1$ squarings and $y \nequiv -1$ then $a$ is provably composite. If $a$ is not provably composite then it is \textit{probably} prime. EXAM,bn_mp_prime_miller_rabin.c diff --git a/libtommath/tommath.tex b/libtommath/tommath.tex deleted file mode 100644 index c79a537..0000000 --- a/libtommath/tommath.tex +++ /dev/null @@ -1,6691 +0,0 @@ -\documentclass[b5paper]{book} -\usepackage{hyperref} -\usepackage{makeidx} -\usepackage{amssymb} -\usepackage{color} -\usepackage{alltt} -\usepackage{graphicx} -\usepackage{layout} -\def\union{\cup} -\def\intersect{\cap} -\def\getsrandom{\stackrel{\rm R}{\gets}} -\def\cross{\times} -\def\cat{\hspace{0.5em} \| \hspace{0.5em}} -\def\catn{$\|$} -\def\divides{\hspace{0.3em} | \hspace{0.3em}} -\def\nequiv{\not\equiv} -\def\approx{\raisebox{0.2ex}{\mbox{\small $\sim$}}} -\def\lcm{{\rm lcm}} -\def\gcd{{\rm gcd}} -\def\log{{\rm log}} -\def\ord{{\rm ord}} -\def\abs{{\mathit abs}} -\def\rep{{\mathit rep}} -\def\mod{{\mathit\ mod\ }} -\renewcommand{\pmod}[1]{\ ({\rm mod\ }{#1})} -\newcommand{\floor}[1]{\left\lfloor{#1}\right\rfloor} -\newcommand{\ceil}[1]{\left\lceil{#1}\right\rceil} -\def\Or{{\rm\ or\ }} -\def\And{{\rm\ and\ }} -\def\iff{\hspace{1em}\Longleftrightarrow\hspace{1em}} -\def\implies{\Rightarrow} -\def\undefined{{\rm ``undefined"}} -\def\Proof{\vspace{1ex}\noindent {\bf Proof:}\hspace{1em}} -\let\oldphi\phi -\def\phi{\varphi} -\def\Pr{{\rm Pr}} -\newcommand{\str}[1]{{\mathbf{#1}}} -\def\F{{\mathbb F}} -\def\N{{\mathbb N}} -\def\Z{{\mathbb Z}} -\def\R{{\mathbb R}} -\def\C{{\mathbb C}} -\def\Q{{\mathbb Q}} -\definecolor{DGray}{gray}{0.5} -\newcommand{\emailaddr}[1]{\mbox{$<${#1}$>$}} -\def\twiddle{\raisebox{0.3ex}{\mbox{\tiny $\sim$}}} -\def\gap{\vspace{0.5ex}} -\makeindex -\begin{document} -\frontmatter -\pagestyle{empty} -\title{Multi--Precision Math} -\author{\mbox{ -%\begin{small} -\begin{tabular}{c} -Tom St Denis \\ -Algonquin College \\ -\\ -Mads Rasmussen \\ -Open Communications Security \\ -\\ -Greg Rose \\ -QUALCOMM Australia \\ -\end{tabular} -%\end{small} -} -} -\maketitle -This text has been placed in the public domain. This text corresponds to the v0.39 release of the -LibTomMath project. - -\begin{alltt} -Tom St Denis -111 Banning Rd -Ottawa, Ontario -K2L 1C3 -Canada - -Phone: 1-613-836-3160 -Email: tomstdenis@gmail.com -\end{alltt} - -This text is formatted to the international B5 paper size of 176mm wide by 250mm tall using the \LaTeX{} -{\em book} macro package and the Perl {\em booker} package. - -\tableofcontents -\listoffigures -\chapter*{Prefaces} -When I tell people about my LibTom projects and that I release them as public domain they are often puzzled. -They ask why I did it and especially why I continue to work on them for free. The best I can explain it is ``Because I can.'' -Which seems odd and perhaps too terse for adult conversation. I often qualify it with ``I am able, I am willing.'' which -perhaps explains it better. I am the first to admit there is not anything that special with what I have done. Perhaps -others can see that too and then we would have a society to be proud of. My LibTom projects are what I am doing to give -back to society in the form of tools and knowledge that can help others in their endeavours. - -I started writing this book because it was the most logical task to further my goal of open academia. The LibTomMath source -code itself was written to be easy to follow and learn from. There are times, however, where pure C source code does not -explain the algorithms properly. Hence this book. The book literally starts with the foundation of the library and works -itself outwards to the more complicated algorithms. The use of both pseudo--code and verbatim source code provides a duality -of ``theory'' and ``practice'' that the computer science students of the world shall appreciate. I never deviate too far -from relatively straightforward algebra and I hope that this book can be a valuable learning asset. - -This book and indeed much of the LibTom projects would not exist in their current form if it was not for a plethora -of kind people donating their time, resources and kind words to help support my work. Writing a text of significant -length (along with the source code) is a tiresome and lengthy process. Currently the LibTom project is four years old, -comprises of literally thousands of users and over 100,000 lines of source code, TeX and other material. People like Mads and Greg -were there at the beginning to encourage me to work well. It is amazing how timely validation from others can boost morale to -continue the project. Definitely my parents were there for me by providing room and board during the many months of work in 2003. - -To my many friends whom I have met through the years I thank you for the good times and the words of encouragement. I hope I -honour your kind gestures with this project. - -Open Source. Open Academia. Open Minds. - -\begin{flushright} Tom St Denis \end{flushright} - -\newpage -I found the opportunity to work with Tom appealing for several reasons, not only could I broaden my own horizons, but also -contribute to educate others facing the problem of having to handle big number mathematical calculations. - -This book is Tom's child and he has been caring and fostering the project ever since the beginning with a clear mind of -how he wanted the project to turn out. I have helped by proofreading the text and we have had several discussions about -the layout and language used. - -I hold a masters degree in cryptography from the University of Southern Denmark and have always been interested in the -practical aspects of cryptography. - -Having worked in the security consultancy business for several years in S\~{a}o Paulo, Brazil, I have been in touch with a -great deal of work in which multiple precision mathematics was needed. Understanding the possibilities for speeding up -multiple precision calculations is often very important since we deal with outdated machine architecture where modular -reductions, for example, become painfully slow. - -This text is for people who stop and wonder when first examining algorithms such as RSA for the first time and asks -themselves, ``You tell me this is only secure for large numbers, fine; but how do you implement these numbers?'' - -\begin{flushright} -Mads Rasmussen - -S\~{a}o Paulo - SP - -Brazil -\end{flushright} - -\newpage -It's all because I broke my leg. That just happened to be at about the same time that Tom asked for someone to review the section of the book about -Karatsuba multiplication. I was laid up, alone and immobile, and thought ``Why not?'' I vaguely knew what Karatsuba multiplication was, but not -really, so I thought I could help, learn, and stop myself from watching daytime cable TV, all at once. - -At the time of writing this, I've still not met Tom or Mads in meatspace. I've been following Tom's progress since his first splash on the -sci.crypt Usenet news group. I watched him go from a clueless newbie, to the cryptographic equivalent of a reformed smoker, to a real -contributor to the field, over a period of about two years. I've been impressed with his obvious intelligence, and astounded by his productivity. -Of course, he's young enough to be my own child, so he doesn't have my problems with staying awake. - -When I reviewed that single section of the book, in its very earliest form, I was very pleasantly surprised. So I decided to collaborate more fully, -and at least review all of it, and perhaps write some bits too. There's still a long way to go with it, and I have watched a number of close -friends go through the mill of publication, so I think that the way to go is longer than Tom thinks it is. Nevertheless, it's a good effort, -and I'm pleased to be involved with it. - -\begin{flushright} -Greg Rose, Sydney, Australia, June 2003. -\end{flushright} - -\mainmatter -\pagestyle{headings} -\chapter{Introduction} -\section{Multiple Precision Arithmetic} - -\subsection{What is Multiple Precision Arithmetic?} -When we think of long-hand arithmetic such as addition or multiplication we rarely consider the fact that we instinctively -raise or lower the precision of the numbers we are dealing with. For example, in decimal we almost immediate can -reason that $7$ times $6$ is $42$. However, $42$ has two digits of precision as opposed to one digit we started with. -Further multiplications of say $3$ result in a larger precision result $126$. In these few examples we have multiple -precisions for the numbers we are working with. Despite the various levels of precision a single subset\footnote{With the occasional optimization.} - of algorithms can be designed to accomodate them. - -By way of comparison a fixed or single precision operation would lose precision on various operations. For example, in -the decimal system with fixed precision $6 \cdot 7 = 2$. - -Essentially at the heart of computer based multiple precision arithmetic are the same long-hand algorithms taught in -schools to manually add, subtract, multiply and divide. - -\subsection{The Need for Multiple Precision Arithmetic} -The most prevalent need for multiple precision arithmetic, often referred to as ``bignum'' math, is within the implementation -of public-key cryptography algorithms. Algorithms such as RSA \cite{RSAREF} and Diffie-Hellman \cite{DHREF} require -integers of significant magnitude to resist known cryptanalytic attacks. For example, at the time of this writing a -typical RSA modulus would be at least greater than $10^{309}$. However, modern programming languages such as ISO C \cite{ISOC} and -Java \cite{JAVA} only provide instrinsic support for integers which are relatively small and single precision. - -\begin{figure}[!here] -\begin{center} -\begin{tabular}{|r|c|} -\hline \textbf{Data Type} & \textbf{Range} \\ -\hline char & $-128 \ldots 127$ \\ -\hline short & $-32768 \ldots 32767$ \\ -\hline long & $-2147483648 \ldots 2147483647$ \\ -\hline long long & $-9223372036854775808 \ldots 9223372036854775807$ \\ -\hline -\end{tabular} -\end{center} -\caption{Typical Data Types for the C Programming Language} -\label{fig:ISOC} -\end{figure} - -The largest data type guaranteed to be provided by the ISO C programming -language\footnote{As per the ISO C standard. However, each compiler vendor is allowed to augment the precision as they -see fit.} can only represent values up to $10^{19}$ as shown in figure \ref{fig:ISOC}. On its own the C language is -insufficient to accomodate the magnitude required for the problem at hand. An RSA modulus of magnitude $10^{19}$ could be -trivially factored\footnote{A Pollard-Rho factoring would take only $2^{16}$ time.} on the average desktop computer, -rendering any protocol based on the algorithm insecure. Multiple precision algorithms solve this very problem by -extending the range of representable integers while using single precision data types. - -Most advancements in fast multiple precision arithmetic stem from the need for faster and more efficient cryptographic -primitives. Faster modular reduction and exponentiation algorithms such as Barrett's algorithm, which have appeared in -various cryptographic journals, can render algorithms such as RSA and Diffie-Hellman more efficient. In fact, several -major companies such as RSA Security, Certicom and Entrust have built entire product lines on the implementation and -deployment of efficient algorithms. - -However, cryptography is not the only field of study that can benefit from fast multiple precision integer routines. -Another auxiliary use of multiple precision integers is high precision floating point data types. -The basic IEEE \cite{IEEE} standard floating point type is made up of an integer mantissa $q$, an exponent $e$ and a sign bit $s$. -Numbers are given in the form $n = q \cdot b^e \cdot -1^s$ where $b = 2$ is the most common base for IEEE. Since IEEE -floating point is meant to be implemented in hardware the precision of the mantissa is often fairly small -(\textit{23, 48 and 64 bits}). The mantissa is merely an integer and a multiple precision integer could be used to create -a mantissa of much larger precision than hardware alone can efficiently support. This approach could be useful where -scientific applications must minimize the total output error over long calculations. - -Yet another use for large integers is within arithmetic on polynomials of large characteristic (i.e. $GF(p)[x]$ for large $p$). -In fact the library discussed within this text has already been used to form a polynomial basis library\footnote{See \url{http://poly.libtomcrypt.org} for more details.}. - -\subsection{Benefits of Multiple Precision Arithmetic} -\index{precision} -The benefit of multiple precision representations over single or fixed precision representations is that -no precision is lost while representing the result of an operation which requires excess precision. For example, -the product of two $n$-bit integers requires at least $2n$ bits of precision to be represented faithfully. A multiple -precision algorithm would augment the precision of the destination to accomodate the result while a single precision system -would truncate excess bits to maintain a fixed level of precision. - -It is possible to implement algorithms which require large integers with fixed precision algorithms. For example, elliptic -curve cryptography (\textit{ECC}) is often implemented on smartcards by fixing the precision of the integers to the maximum -size the system will ever need. Such an approach can lead to vastly simpler algorithms which can accomodate the -integers required even if the host platform cannot natively accomodate them\footnote{For example, the average smartcard -processor has an 8 bit accumulator.}. However, as efficient as such an approach may be, the resulting source code is not -normally very flexible. It cannot, at runtime, accomodate inputs of higher magnitude than the designer anticipated. - -Multiple precision algorithms have the most overhead of any style of arithmetic. For the the most part the -overhead can be kept to a minimum with careful planning, but overall, it is not well suited for most memory starved -platforms. However, multiple precision algorithms do offer the most flexibility in terms of the magnitude of the -inputs. That is, the same algorithms based on multiple precision integers can accomodate any reasonable size input -without the designer's explicit forethought. This leads to lower cost of ownership for the code as it only has to -be written and tested once. - -\section{Purpose of This Text} -The purpose of this text is to instruct the reader regarding how to implement efficient multiple precision algorithms. -That is to not only explain a limited subset of the core theory behind the algorithms but also the various ``house keeping'' -elements that are neglected by authors of other texts on the subject. Several well reknowned texts \cite{TAOCPV2,HAC} -give considerably detailed explanations of the theoretical aspects of algorithms and often very little information -regarding the practical implementation aspects. - -In most cases how an algorithm is explained and how it is actually implemented are two very different concepts. For -example, the Handbook of Applied Cryptography (\textit{HAC}), algorithm 14.7 on page 594, gives a relatively simple -algorithm for performing multiple precision integer addition. However, the description lacks any discussion concerning -the fact that the two integer inputs may be of differing magnitudes. As a result the implementation is not as simple -as the text would lead people to believe. Similarly the division routine (\textit{algorithm 14.20, pp. 598}) does not -discuss how to handle sign or handle the dividend's decreasing magnitude in the main loop (\textit{step \#3}). - -Both texts also do not discuss several key optimal algorithms required such as ``Comba'' and Karatsuba multipliers -and fast modular inversion, which we consider practical oversights. These optimal algorithms are vital to achieve -any form of useful performance in non-trivial applications. - -To solve this problem the focus of this text is on the practical aspects of implementing a multiple precision integer -package. As a case study the ``LibTomMath''\footnote{Available at \url{http://math.libtomcrypt.com}} package is used -to demonstrate algorithms with real implementations\footnote{In the ISO C programming language.} that have been field -tested and work very well. The LibTomMath library is freely available on the Internet for all uses and this text -discusses a very large portion of the inner workings of the library. - -The algorithms that are presented will always include at least one ``pseudo-code'' description followed -by the actual C source code that implements the algorithm. The pseudo-code can be used to implement the same -algorithm in other programming languages as the reader sees fit. - -This text shall also serve as a walkthrough of the creation of multiple precision algorithms from scratch. Showing -the reader how the algorithms fit together as well as where to start on various taskings. - -\section{Discussion and Notation} -\subsection{Notation} -A multiple precision integer of $n$-digits shall be denoted as $x = (x_{n-1}, \ldots, x_1, x_0)_{ \beta }$ and represent -the integer $x \equiv \sum_{i=0}^{n-1} x_i\beta^i$. The elements of the array $x$ are said to be the radix $\beta$ digits -of the integer. For example, $x = (1,2,3)_{10}$ would represent the integer -$1\cdot 10^2 + 2\cdot10^1 + 3\cdot10^0 = 123$. - -\index{mp\_int} -The term ``mp\_int'' shall refer to a composite structure which contains the digits of the integer it represents, as well -as auxilary data required to manipulate the data. These additional members are discussed further in section -\ref{sec:MPINT}. For the purposes of this text a ``multiple precision integer'' and an ``mp\_int'' are assumed to be -synonymous. When an algorithm is specified to accept an mp\_int variable it is assumed the various auxliary data members -are present as well. An expression of the type \textit{variablename.item} implies that it should evaluate to the -member named ``item'' of the variable. For example, a string of characters may have a member ``length'' which would -evaluate to the number of characters in the string. If the string $a$ equals ``hello'' then it follows that -$a.length = 5$. - -For certain discussions more generic algorithms are presented to help the reader understand the final algorithm used -to solve a given problem. When an algorithm is described as accepting an integer input it is assumed the input is -a plain integer with no additional multiple-precision members. That is, algorithms that use integers as opposed to -mp\_ints as inputs do not concern themselves with the housekeeping operations required such as memory management. These -algorithms will be used to establish the relevant theory which will subsequently be used to describe a multiple -precision algorithm to solve the same problem. - -\subsection{Precision Notation} -The variable $\beta$ represents the radix of a single digit of a multiple precision integer and -must be of the form $q^p$ for $q, p \in \Z^+$. A single precision variable must be able to represent integers in -the range $0 \le x < q \beta$ while a double precision variable must be able to represent integers in the range -$0 \le x < q \beta^2$. The extra radix-$q$ factor allows additions and subtractions to proceed without truncation of the -carry. Since all modern computers are binary, it is assumed that $q$ is two. - -\index{mp\_digit} \index{mp\_word} -Within the source code that will be presented for each algorithm, the data type \textbf{mp\_digit} will represent -a single precision integer type, while, the data type \textbf{mp\_word} will represent a double precision integer type. In -several algorithms (notably the Comba routines) temporary results will be stored in arrays of double precision mp\_words. -For the purposes of this text $x_j$ will refer to the $j$'th digit of a single precision array and $\hat x_j$ will refer to -the $j$'th digit of a double precision array. Whenever an expression is to be assigned to a double precision -variable it is assumed that all single precision variables are promoted to double precision during the evaluation. -Expressions that are assigned to a single precision variable are truncated to fit within the precision of a single -precision data type. - -For example, if $\beta = 10^2$ a single precision data type may represent a value in the -range $0 \le x < 10^3$, while a double precision data type may represent a value in the range $0 \le x < 10^5$. Let -$a = 23$ and $b = 49$ represent two single precision variables. The single precision product shall be written -as $c \leftarrow a \cdot b$ while the double precision product shall be written as $\hat c \leftarrow a \cdot b$. -In this particular case, $\hat c = 1127$ and $c = 127$. The most significant digit of the product would not fit -in a single precision data type and as a result $c \ne \hat c$. - -\subsection{Algorithm Inputs and Outputs} -Within the algorithm descriptions all variables are assumed to be scalars of either single or double precision -as indicated. The only exception to this rule is when variables have been indicated to be of type mp\_int. This -distinction is important as scalars are often used as array indicies and various other counters. - -\subsection{Mathematical Expressions} -The $\lfloor \mbox{ } \rfloor$ brackets imply an expression truncated to an integer not greater than the expression -itself. For example, $\lfloor 5.7 \rfloor = 5$. Similarly the $\lceil \mbox{ } \rceil$ brackets imply an expression -rounded to an integer not less than the expression itself. For example, $\lceil 5.1 \rceil = 6$. Typically when -the $/$ division symbol is used the intention is to perform an integer division with truncation. For example, -$5/2 = 2$ which will often be written as $\lfloor 5/2 \rfloor = 2$ for clarity. When an expression is written as a -fraction a real value division is implied, for example ${5 \over 2} = 2.5$. - -The norm of a multiple precision integer, for example $\vert \vert x \vert \vert$, will be used to represent the number of digits in the representation -of the integer. For example, $\vert \vert 123 \vert \vert = 3$ and $\vert \vert 79452 \vert \vert = 5$. - -\subsection{Work Effort} -\index{big-Oh} -To measure the efficiency of the specified algorithms, a modified big-Oh notation is used. In this system all -single precision operations are considered to have the same cost\footnote{Except where explicitly noted.}. -That is a single precision addition, multiplication and division are assumed to take the same time to -complete. While this is generally not true in practice, it will simplify the discussions considerably. - -Some algorithms have slight advantages over others which is why some constants will not be removed in -the notation. For example, a normal baseline multiplication (section \ref{sec:basemult}) requires $O(n^2)$ work while a -baseline squaring (section \ref{sec:basesquare}) requires $O({{n^2 + n}\over 2})$ work. In standard big-Oh notation these -would both be said to be equivalent to $O(n^2)$. However, -in the context of the this text this is not the case as the magnitude of the inputs will typically be rather small. As a -result small constant factors in the work effort will make an observable difference in algorithm efficiency. - -All of the algorithms presented in this text have a polynomial time work level. That is, of the form -$O(n^k)$ for $n, k \in \Z^{+}$. This will help make useful comparisons in terms of the speed of the algorithms and how -various optimizations will help pay off in the long run. - -\section{Exercises} -Within the more advanced chapters a section will be set aside to give the reader some challenging exercises related to -the discussion at hand. These exercises are not designed to be prize winning problems, but instead to be thought -provoking. Wherever possible the problems are forward minded, stating problems that will be answered in subsequent -chapters. The reader is encouraged to finish the exercises as they appear to get a better understanding of the -subject material. - -That being said, the problems are designed to affirm knowledge of a particular subject matter. Students in particular -are encouraged to verify they can answer the problems correctly before moving on. - -Similar to the exercises of \cite[pp. ix]{TAOCPV2} these exercises are given a scoring system based on the difficulty of -the problem. However, unlike \cite{TAOCPV2} the problems do not get nearly as hard. The scoring of these -exercises ranges from one (the easiest) to five (the hardest). The following table sumarizes the -scoring system used. - -\begin{figure}[here] -\begin{center} -\begin{small} -\begin{tabular}{|c|l|} -\hline $\left [ 1 \right ]$ & An easy problem that should only take the reader a manner of \\ - & minutes to solve. Usually does not involve much computer time \\ - & to solve. \\ -\hline $\left [ 2 \right ]$ & An easy problem that involves a marginal amount of computer \\ - & time usage. Usually requires a program to be written to \\ - & solve the problem. \\ -\hline $\left [ 3 \right ]$ & A moderately hard problem that requires a non-trivial amount \\ - & of work. Usually involves trivial research and development of \\ - & new theory from the perspective of a student. \\ -\hline $\left [ 4 \right ]$ & A moderately hard problem that involves a non-trivial amount \\ - & of work and research, the solution to which will demonstrate \\ - & a higher mastery of the subject matter. \\ -\hline $\left [ 5 \right ]$ & A hard problem that involves concepts that are difficult for a \\ - & novice to solve. Solutions to these problems will demonstrate a \\ - & complete mastery of the given subject. \\ -\hline -\end{tabular} -\end{small} -\end{center} -\caption{Exercise Scoring System} -\end{figure} - -Problems at the first level are meant to be simple questions that the reader can answer quickly without programming a solution or -devising new theory. These problems are quick tests to see if the material is understood. Problems at the second level -are also designed to be easy but will require a program or algorithm to be implemented to arrive at the answer. These -two levels are essentially entry level questions. - -Problems at the third level are meant to be a bit more difficult than the first two levels. The answer is often -fairly obvious but arriving at an exacting solution requires some thought and skill. These problems will almost always -involve devising a new algorithm or implementing a variation of another algorithm previously presented. Readers who can -answer these questions will feel comfortable with the concepts behind the topic at hand. - -Problems at the fourth level are meant to be similar to those of the level three questions except they will require -additional research to be completed. The reader will most likely not know the answer right away, nor will the text provide -the exact details of the answer until a subsequent chapter. - -Problems at the fifth level are meant to be the hardest -problems relative to all the other problems in the chapter. People who can correctly answer fifth level problems have a -mastery of the subject matter at hand. - -Often problems will be tied together. The purpose of this is to start a chain of thought that will be discussed in future chapters. The reader -is encouraged to answer the follow-up problems and try to draw the relevance of problems. - -\section{Introduction to LibTomMath} - -\subsection{What is LibTomMath?} -LibTomMath is a free and open source multiple precision integer library written entirely in portable ISO C. By portable it -is meant that the library does not contain any code that is computer platform dependent or otherwise problematic to use on -any given platform. - -The library has been successfully tested under numerous operating systems including Unix\footnote{All of these -trademarks belong to their respective rightful owners.}, MacOS, Windows, Linux, PalmOS and on standalone hardware such -as the Gameboy Advance. The library is designed to contain enough functionality to be able to develop applications such -as public key cryptosystems and still maintain a relatively small footprint. - -\subsection{Goals of LibTomMath} - -Libraries which obtain the most efficiency are rarely written in a high level programming language such as C. However, -even though this library is written entirely in ISO C, considerable care has been taken to optimize the algorithm implementations within the -library. Specifically the code has been written to work well with the GNU C Compiler (\textit{GCC}) on both x86 and ARM -processors. Wherever possible, highly efficient algorithms, such as Karatsuba multiplication, sliding window -exponentiation and Montgomery reduction have been provided to make the library more efficient. - -Even with the nearly optimal and specialized algorithms that have been included the Application Programing Interface -(\textit{API}) has been kept as simple as possible. Often generic place holder routines will make use of specialized -algorithms automatically without the developer's specific attention. One such example is the generic multiplication -algorithm \textbf{mp\_mul()} which will automatically use Toom--Cook, Karatsuba, Comba or baseline multiplication -based on the magnitude of the inputs and the configuration of the library. - -Making LibTomMath as efficient as possible is not the only goal of the LibTomMath project. Ideally the library should -be source compatible with another popular library which makes it more attractive for developers to use. In this case the -MPI library was used as a API template for all the basic functions. MPI was chosen because it is another library that fits -in the same niche as LibTomMath. Even though LibTomMath uses MPI as the template for the function names and argument -passing conventions, it has been written from scratch by Tom St Denis. - -The project is also meant to act as a learning tool for students, the logic being that no easy-to-follow ``bignum'' -library exists which can be used to teach computer science students how to perform fast and reliable multiple precision -integer arithmetic. To this end the source code has been given quite a few comments and algorithm discussion points. - -\section{Choice of LibTomMath} -LibTomMath was chosen as the case study of this text not only because the author of both projects is one and the same but -for more worthy reasons. Other libraries such as GMP \cite{GMP}, MPI \cite{MPI}, LIP \cite{LIP} and OpenSSL -\cite{OPENSSL} have multiple precision integer arithmetic routines but would not be ideal for this text for -reasons that will be explained in the following sub-sections. - -\subsection{Code Base} -The LibTomMath code base is all portable ISO C source code. This means that there are no platform dependent conditional -segments of code littered throughout the source. This clean and uncluttered approach to the library means that a -developer can more readily discern the true intent of a given section of source code without trying to keep track of -what conditional code will be used. - -The code base of LibTomMath is well organized. Each function is in its own separate source code file -which allows the reader to find a given function very quickly. On average there are $76$ lines of code per source -file which makes the source very easily to follow. By comparison MPI and LIP are single file projects making code tracing -very hard. GMP has many conditional code segments which also hinder tracing. - -When compiled with GCC for the x86 processor and optimized for speed the entire library is approximately $100$KiB\footnote{The notation ``KiB'' means $2^{10}$ octets, similarly ``MiB'' means $2^{20}$ octets.} - which is fairly small compared to GMP (over $250$KiB). LibTomMath is slightly larger than MPI (which compiles to about -$50$KiB) but LibTomMath is also much faster and more complete than MPI. - -\subsection{API Simplicity} -LibTomMath is designed after the MPI library and shares the API design. Quite often programs that use MPI will build -with LibTomMath without change. The function names correlate directly to the action they perform. Almost all of the -functions share the same parameter passing convention. The learning curve is fairly shallow with the API provided -which is an extremely valuable benefit for the student and developer alike. - -The LIP library is an example of a library with an API that is awkward to work with. LIP uses function names that are often ``compressed'' to -illegible short hand. LibTomMath does not share this characteristic. - -The GMP library also does not return error codes. Instead it uses a POSIX.1 \cite{POSIX1} signal system where errors -are signaled to the host application. This happens to be the fastest approach but definitely not the most versatile. In -effect a math error (i.e. invalid input, heap error, etc) can cause a program to stop functioning which is definitely -undersireable in many situations. - -\subsection{Optimizations} -While LibTomMath is certainly not the fastest library (GMP often beats LibTomMath by a factor of two) it does -feature a set of optimal algorithms for tasks such as modular reduction, exponentiation, multiplication and squaring. GMP -and LIP also feature such optimizations while MPI only uses baseline algorithms with no optimizations. GMP lacks a few -of the additional modular reduction optimizations that LibTomMath features\footnote{At the time of this writing GMP -only had Barrett and Montgomery modular reduction algorithms.}. - -LibTomMath is almost always an order of magnitude faster than the MPI library at computationally expensive tasks such as modular -exponentiation. In the grand scheme of ``bignum'' libraries LibTomMath is faster than the average library and usually -slower than the best libraries such as GMP and OpenSSL by only a small factor. - -\subsection{Portability and Stability} -LibTomMath will build ``out of the box'' on any platform equipped with a modern version of the GNU C Compiler -(\textit{GCC}). This means that without changes the library will build without configuration or setting up any -variables. LIP and MPI will build ``out of the box'' as well but have numerous known bugs. Most notably the author of -MPI has recently stopped working on his library and LIP has long since been discontinued. - -GMP requires a configuration script to run and will not build out of the box. GMP and LibTomMath are still in active -development and are very stable across a variety of platforms. - -\subsection{Choice} -LibTomMath is a relatively compact, well documented, highly optimized and portable library which seems only natural for -the case study of this text. Various source files from the LibTomMath project will be included within the text. However, -the reader is encouraged to download their own copy of the library to actually be able to work with the library. - -\chapter{Getting Started} -\section{Library Basics} -The trick to writing any useful library of source code is to build a solid foundation and work outwards from it. First, -a problem along with allowable solution parameters should be identified and analyzed. In this particular case the -inability to accomodate multiple precision integers is the problem. Futhermore, the solution must be written -as portable source code that is reasonably efficient across several different computer platforms. - -After a foundation is formed the remainder of the library can be designed and implemented in a hierarchical fashion. -That is, to implement the lowest level dependencies first and work towards the most abstract functions last. For example, -before implementing a modular exponentiation algorithm one would implement a modular reduction algorithm. -By building outwards from a base foundation instead of using a parallel design methodology the resulting project is -highly modular. Being highly modular is a desirable property of any project as it often means the resulting product -has a small footprint and updates are easy to perform. - -Usually when I start a project I will begin with the header files. I define the data types I think I will need and -prototype the initial functions that are not dependent on other functions (within the library). After I -implement these base functions I prototype more dependent functions and implement them. The process repeats until -I implement all of the functions I require. For example, in the case of LibTomMath I implemented functions such as -mp\_init() well before I implemented mp\_mul() and even further before I implemented mp\_exptmod(). As an example as to -why this design works note that the Karatsuba and Toom-Cook multipliers were written \textit{after} the -dependent function mp\_exptmod() was written. Adding the new multiplication algorithms did not require changes to the -mp\_exptmod() function itself and lowered the total cost of ownership (\textit{so to speak}) and of development -for new algorithms. This methodology allows new algorithms to be tested in a complete framework with relative ease. - -\begin{center} -\begin{figure}[here] -\includegraphics{pics/design_process.ps} -\caption{Design Flow of the First Few Original LibTomMath Functions.} -\label{pic:design_process} -\end{figure} -\end{center} - -Only after the majority of the functions were in place did I pursue a less hierarchical approach to auditing and optimizing -the source code. For example, one day I may audit the multipliers and the next day the polynomial basis functions. - -It only makes sense to begin the text with the preliminary data types and support algorithms required as well. -This chapter discusses the core algorithms of the library which are the dependents for every other algorithm. - -\section{What is a Multiple Precision Integer?} -Recall that most programming languages, in particular ISO C \cite{ISOC}, only have fixed precision data types that on their own cannot -be used to represent values larger than their precision will allow. The purpose of multiple precision algorithms is -to use fixed precision data types to create and manipulate multiple precision integers which may represent values -that are very large. - -As a well known analogy, school children are taught how to form numbers larger than nine by prepending more radix ten digits. In the decimal system -the largest single digit value is $9$. However, by concatenating digits together larger numbers may be represented. Newly prepended digits -(\textit{to the left}) are said to be in a different power of ten column. That is, the number $123$ can be described as having a $1$ in the hundreds -column, $2$ in the tens column and $3$ in the ones column. Or more formally $123 = 1 \cdot 10^2 + 2 \cdot 10^1 + 3 \cdot 10^0$. Computer based -multiple precision arithmetic is essentially the same concept. Larger integers are represented by adjoining fixed -precision computer words with the exception that a different radix is used. - -What most people probably do not think about explicitly are the various other attributes that describe a multiple precision -integer. For example, the integer $154_{10}$ has two immediately obvious properties. First, the integer is positive, -that is the sign of this particular integer is positive as opposed to negative. Second, the integer has three digits in -its representation. There is an additional property that the integer posesses that does not concern pencil-and-paper -arithmetic. The third property is how many digits placeholders are available to hold the integer. - -The human analogy of this third property is ensuring there is enough space on the paper to write the integer. For example, -if one starts writing a large number too far to the right on a piece of paper they will have to erase it and move left. -Similarly, computer algorithms must maintain strict control over memory usage to ensure that the digits of an integer -will not exceed the allowed boundaries. These three properties make up what is known as a multiple precision -integer or mp\_int for short. - -\subsection{The mp\_int Structure} -\label{sec:MPINT} -The mp\_int structure is the ISO C based manifestation of what represents a multiple precision integer. The ISO C standard does not provide for -any such data type but it does provide for making composite data types known as structures. The following is the structure definition -used within LibTomMath. - -\index{mp\_int} -\begin{figure}[here] -\begin{center} -\begin{small} -%\begin{verbatim} -\begin{tabular}{|l|} -\hline -typedef struct \{ \\ -\hspace{3mm}int used, alloc, sign;\\ -\hspace{3mm}mp\_digit *dp;\\ -\} \textbf{mp\_int}; \\ -\hline -\end{tabular} -%\end{verbatim} -\end{small} -\caption{The mp\_int Structure} -\label{fig:mpint} -\end{center} -\end{figure} - -The mp\_int structure (fig. \ref{fig:mpint}) can be broken down as follows. - -\begin{enumerate} -\item The \textbf{used} parameter denotes how many digits of the array \textbf{dp} contain the digits used to represent -a given integer. The \textbf{used} count must be positive (or zero) and may not exceed the \textbf{alloc} count. - -\item The \textbf{alloc} parameter denotes how -many digits are available in the array to use by functions before it has to increase in size. When the \textbf{used} count -of a result would exceed the \textbf{alloc} count all of the algorithms will automatically increase the size of the -array to accommodate the precision of the result. - -\item The pointer \textbf{dp} points to a dynamically allocated array of digits that represent the given multiple -precision integer. It is padded with $(\textbf{alloc} - \textbf{used})$ zero digits. The array is maintained in a least -significant digit order. As a pencil and paper analogy the array is organized such that the right most digits are stored -first starting at the location indexed by zero\footnote{In C all arrays begin at zero.} in the array. For example, -if \textbf{dp} contains $\lbrace a, b, c, \ldots \rbrace$ where \textbf{dp}$_0 = a$, \textbf{dp}$_1 = b$, \textbf{dp}$_2 = c$, $\ldots$ then -it would represent the integer $a + b\beta + c\beta^2 + \ldots$ - -\index{MP\_ZPOS} \index{MP\_NEG} -\item The \textbf{sign} parameter denotes the sign as either zero/positive (\textbf{MP\_ZPOS}) or negative (\textbf{MP\_NEG}). -\end{enumerate} - -\subsubsection{Valid mp\_int Structures} -Several rules are placed on the state of an mp\_int structure and are assumed to be followed for reasons of efficiency. -The only exceptions are when the structure is passed to initialization functions such as mp\_init() and mp\_init\_copy(). - -\begin{enumerate} -\item The value of \textbf{alloc} may not be less than one. That is \textbf{dp} always points to a previously allocated -array of digits. -\item The value of \textbf{used} may not exceed \textbf{alloc} and must be greater than or equal to zero. -\item The value of \textbf{used} implies the digit at index $(used - 1)$ of the \textbf{dp} array is non-zero. That is, -leading zero digits in the most significant positions must be trimmed. - \begin{enumerate} - \item Digits in the \textbf{dp} array at and above the \textbf{used} location must be zero. - \end{enumerate} -\item The value of \textbf{sign} must be \textbf{MP\_ZPOS} if \textbf{used} is zero; -this represents the mp\_int value of zero. -\end{enumerate} - -\section{Argument Passing} -A convention of argument passing must be adopted early on in the development of any library. Making the function -prototypes consistent will help eliminate many headaches in the future as the library grows to significant complexity. -In LibTomMath the multiple precision integer functions accept parameters from left to right as pointers to mp\_int -structures. That means that the source (input) operands are placed on the left and the destination (output) on the right. -Consider the following examples. - -\begin{verbatim} - mp_mul(&a, &b, &c); /* c = a * b */ - mp_add(&a, &b, &a); /* a = a + b */ - mp_sqr(&a, &b); /* b = a * a */ -\end{verbatim} - -The left to right order is a fairly natural way to implement the functions since it lets the developer read aloud the -functions and make sense of them. For example, the first function would read ``multiply a and b and store in c''. - -Certain libraries (\textit{LIP by Lenstra for instance}) accept parameters the other way around, to mimic the order -of assignment expressions. That is, the destination (output) is on the left and arguments (inputs) are on the right. In -truth, it is entirely a matter of preference. In the case of LibTomMath the convention from the MPI library has been -adopted. - -Another very useful design consideration, provided for in LibTomMath, is whether to allow argument sources to also be a -destination. For example, the second example (\textit{mp\_add}) adds $a$ to $b$ and stores in $a$. This is an important -feature to implement since it allows the calling functions to cut down on the number of variables it must maintain. -However, to implement this feature specific care has to be given to ensure the destination is not modified before the -source is fully read. - -\section{Return Values} -A well implemented application, no matter what its purpose, should trap as many runtime errors as possible and return them -to the caller. By catching runtime errors a library can be guaranteed to prevent undefined behaviour. However, the end -developer can still manage to cause a library to crash. For example, by passing an invalid pointer an application may -fault by dereferencing memory not owned by the application. - -In the case of LibTomMath the only errors that are checked for are related to inappropriate inputs (division by zero for -instance) and memory allocation errors. It will not check that the mp\_int passed to any function is valid nor -will it check pointers for validity. Any function that can cause a runtime error will return an error code as an -\textbf{int} data type with one of the following values (fig \ref{fig:errcodes}). - -\index{MP\_OKAY} \index{MP\_VAL} \index{MP\_MEM} -\begin{figure}[here] -\begin{center} -\begin{tabular}{|l|l|} -\hline \textbf{Value} & \textbf{Meaning} \\ -\hline \textbf{MP\_OKAY} & The function was successful \\ -\hline \textbf{MP\_VAL} & One of the input value(s) was invalid \\ -\hline \textbf{MP\_MEM} & The function ran out of heap memory \\ -\hline -\end{tabular} -\end{center} -\caption{LibTomMath Error Codes} -\label{fig:errcodes} -\end{figure} - -When an error is detected within a function it should free any memory it allocated, often during the initialization of -temporary mp\_ints, and return as soon as possible. The goal is to leave the system in the same state it was when the -function was called. Error checking with this style of API is fairly simple. - -\begin{verbatim} - int err; - if ((err = mp_add(&a, &b, &c)) != MP_OKAY) { - printf("Error: %s\n", mp_error_to_string(err)); - exit(EXIT_FAILURE); - } -\end{verbatim} - -The GMP \cite{GMP} library uses C style \textit{signals} to flag errors which is of questionable use. Not all errors are fatal -and it was not deemed ideal by the author of LibTomMath to force developers to have signal handlers for such cases. - -\section{Initialization and Clearing} -The logical starting point when actually writing multiple precision integer functions is the initialization and -clearing of the mp\_int structures. These two algorithms will be used by the majority of the higher level algorithms. - -Given the basic mp\_int structure an initialization routine must first allocate memory to hold the digits of -the integer. Often it is optimal to allocate a sufficiently large pre-set number of digits even though -the initial integer will represent zero. If only a single digit were allocated quite a few subsequent re-allocations -would occur when operations are performed on the integers. There is a tradeoff between how many default digits to allocate -and how many re-allocations are tolerable. Obviously allocating an excessive amount of digits initially will waste -memory and become unmanageable. - -If the memory for the digits has been successfully allocated then the rest of the members of the structure must -be initialized. Since the initial state of an mp\_int is to represent the zero integer, the allocated digits must be set -to zero. The \textbf{used} count set to zero and \textbf{sign} set to \textbf{MP\_ZPOS}. - -\subsection{Initializing an mp\_int} -An mp\_int is said to be initialized if it is set to a valid, preferably default, state such that all of the members of the -structure are set to valid values. The mp\_init algorithm will perform such an action. - -\index{mp\_init} -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_init}. \\ -\textbf{Input}. An mp\_int $a$ \\ -\textbf{Output}. Allocate memory and initialize $a$ to a known valid mp\_int state. \\ -\hline \\ -1. Allocate memory for \textbf{MP\_PREC} digits. \\ -2. If the allocation failed return(\textit{MP\_MEM}) \\ -3. for $n$ from $0$ to $MP\_PREC - 1$ do \\ -\hspace{3mm}3.1 $a_n \leftarrow 0$\\ -4. $a.sign \leftarrow MP\_ZPOS$\\ -5. $a.used \leftarrow 0$\\ -6. $a.alloc \leftarrow MP\_PREC$\\ -7. Return(\textit{MP\_OKAY})\\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_init} -\end{figure} - -\textbf{Algorithm mp\_init.} -The purpose of this function is to initialize an mp\_int structure so that the rest of the library can properly -manipulte it. It is assumed that the input may not have had any of its members previously initialized which is certainly -a valid assumption if the input resides on the stack. - -Before any of the members such as \textbf{sign}, \textbf{used} or \textbf{alloc} are initialized the memory for -the digits is allocated. If this fails the function returns before setting any of the other members. The \textbf{MP\_PREC} -name represents a constant\footnote{Defined in the ``tommath.h'' header file within LibTomMath.} -used to dictate the minimum precision of newly initialized mp\_int integers. Ideally, it is at least equal to the smallest -precision number you'll be working with. - -Allocating a block of digits at first instead of a single digit has the benefit of lowering the number of usually slow -heap operations later functions will have to perform in the future. If \textbf{MP\_PREC} is set correctly the slack -memory and the number of heap operations will be trivial. - -Once the allocation has been made the digits have to be set to zero as well as the \textbf{used}, \textbf{sign} and -\textbf{alloc} members initialized. This ensures that the mp\_int will always represent the default state of zero regardless -of the original condition of the input. - -\textbf{Remark.} -This function introduces the idiosyncrasy that all iterative loops, commonly initiated with the ``for'' keyword, iterate incrementally -when the ``to'' keyword is placed between two expressions. For example, ``for $a$ from $b$ to $c$ do'' means that -a subsequent expression (or body of expressions) are to be evaluated upto $c - b$ times so long as $b \le c$. In each -iteration the variable $a$ is substituted for a new integer that lies inclusively between $b$ and $c$. If $b > c$ occured -the loop would not iterate. By contrast if the ``downto'' keyword were used in place of ``to'' the loop would iterate -decrementally. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_init.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -One immediate observation of this initializtion function is that it does not return a pointer to a mp\_int structure. It -is assumed that the caller has already allocated memory for the mp\_int structure, typically on the application stack. The -call to mp\_init() is used only to initialize the members of the structure to a known default state. - -Here we see (line 24) the memory allocation is performed first. This allows us to exit cleanly and quickly -if there is an error. If the allocation fails the routine will return \textbf{MP\_MEM} to the caller to indicate there -was a memory error. The function XMALLOC is what actually allocates the memory. Technically XMALLOC is not a function -but a macro defined in ``tommath.h``. By default, XMALLOC will evaluate to malloc() which is the C library's built--in -memory allocation routine. - -In order to assure the mp\_int is in a known state the digits must be set to zero. On most platforms this could have been -accomplished by using calloc() instead of malloc(). However, to correctly initialize a integer type to a given value in a -portable fashion you have to actually assign the value. The for loop (line 30) performs this required -operation. - -After the memory has been successfully initialized the remainder of the members are initialized -(lines 34 through 35) to their respective default states. At this point the algorithm has succeeded and -a success code is returned to the calling function. If this function returns \textbf{MP\_OKAY} it is safe to assume the -mp\_int structure has been properly initialized and is safe to use with other functions within the library. - -\subsection{Clearing an mp\_int} -When an mp\_int is no longer required by the application, the memory that has been allocated for its digits must be -returned to the application's memory pool with the mp\_clear algorithm. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_clear}. \\ -\textbf{Input}. An mp\_int $a$ \\ -\textbf{Output}. The memory for $a$ shall be deallocated. \\ -\hline \\ -1. If $a$ has been previously freed then return(\textit{MP\_OKAY}). \\ -2. for $n$ from 0 to $a.used - 1$ do \\ -\hspace{3mm}2.1 $a_n \leftarrow 0$ \\ -3. Free the memory allocated for the digits of $a$. \\ -4. $a.used \leftarrow 0$ \\ -5. $a.alloc \leftarrow 0$ \\ -6. $a.sign \leftarrow MP\_ZPOS$ \\ -7. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_clear} -\end{figure} - -\textbf{Algorithm mp\_clear.} -This algorithm accomplishes two goals. First, it clears the digits and the other mp\_int members. This ensures that -if a developer accidentally re-uses a cleared structure it is less likely to cause problems. The second goal -is to free the allocated memory. - -The logic behind the algorithm is extended by marking cleared mp\_int structures so that subsequent calls to this -algorithm will not try to free the memory multiple times. Cleared mp\_ints are detectable by having a pre-defined invalid -digit pointer \textbf{dp} setting. - -Once an mp\_int has been cleared the mp\_int structure is no longer in a valid state for any other algorithm -with the exception of algorithms mp\_init, mp\_init\_copy, mp\_init\_size and mp\_clear. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_clear.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The algorithm only operates on the mp\_int if it hasn't been previously cleared. The if statement (line 25) -checks to see if the \textbf{dp} member is not \textbf{NULL}. If the mp\_int is a valid mp\_int then \textbf{dp} cannot be -\textbf{NULL} in which case the if statement will evaluate to true. - -The digits of the mp\_int are cleared by the for loop (line 27) which assigns a zero to every digit. Similar to mp\_init() -the digits are assigned zero instead of using block memory operations (such as memset()) since this is more portable. - -The digits are deallocated off the heap via the XFREE macro. Similar to XMALLOC the XFREE macro actually evaluates to -a standard C library function. In this case the free() function. Since free() only deallocates the memory the pointer -still has to be reset to \textbf{NULL} manually (line 35). - -Now that the digits have been cleared and deallocated the other members are set to their final values (lines 36 and 37). - -\section{Maintenance Algorithms} - -The previous sections describes how to initialize and clear an mp\_int structure. To further support operations -that are to be performed on mp\_int structures (such as addition and multiplication) the dependent algorithms must be -able to augment the precision of an mp\_int and -initialize mp\_ints with differing initial conditions. - -These algorithms complete the set of low level algorithms required to work with mp\_int structures in the higher level -algorithms such as addition, multiplication and modular exponentiation. - -\subsection{Augmenting an mp\_int's Precision} -When storing a value in an mp\_int structure, a sufficient number of digits must be available to accomodate the entire -result of an operation without loss of precision. Quite often the size of the array given by the \textbf{alloc} member -is large enough to simply increase the \textbf{used} digit count. However, when the size of the array is too small it -must be re-sized appropriately to accomodate the result. The mp\_grow algorithm will provide this functionality. - -\newpage\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_grow}. \\ -\textbf{Input}. An mp\_int $a$ and an integer $b$. \\ -\textbf{Output}. $a$ is expanded to accomodate $b$ digits. \\ -\hline \\ -1. if $a.alloc \ge b$ then return(\textit{MP\_OKAY}) \\ -2. $u \leftarrow b\mbox{ (mod }MP\_PREC\mbox{)}$ \\ -3. $v \leftarrow b + 2 \cdot MP\_PREC - u$ \\ -4. Re-allocate the array of digits $a$ to size $v$ \\ -5. If the allocation failed then return(\textit{MP\_MEM}). \\ -6. for n from a.alloc to $v - 1$ do \\ -\hspace{+3mm}6.1 $a_n \leftarrow 0$ \\ -7. $a.alloc \leftarrow v$ \\ -8. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_grow} -\end{figure} - -\textbf{Algorithm mp\_grow.} -It is ideal to prevent re-allocations from being performed if they are not required (step one). This is useful to -prevent mp\_ints from growing excessively in code that erroneously calls mp\_grow. - -The requested digit count is padded up to next multiple of \textbf{MP\_PREC} plus an additional \textbf{MP\_PREC} (steps two and three). -This helps prevent many trivial reallocations that would grow an mp\_int by trivially small values. - -It is assumed that the reallocation (step four) leaves the lower $a.alloc$ digits of the mp\_int intact. This is much -akin to how the \textit{realloc} function from the standard C library works. Since the newly allocated digits are -assumed to contain undefined values they are initially set to zero. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_grow.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -A quick optimization is to first determine if a memory re-allocation is required at all. The if statement (line 24) checks -if the \textbf{alloc} member of the mp\_int is smaller than the requested digit count. If the count is not larger than \textbf{alloc} -the function skips the re-allocation part thus saving time. - -When a re-allocation is performed it is turned into an optimal request to save time in the future. The requested digit count is -padded upwards to 2nd multiple of \textbf{MP\_PREC} larger than \textbf{alloc} (line 25). The XREALLOC function is used -to re-allocate the memory. As per the other functions XREALLOC is actually a macro which evaluates to realloc by default. The realloc -function leaves the base of the allocation intact which means the first \textbf{alloc} digits of the mp\_int are the same as before -the re-allocation. All that is left is to clear the newly allocated digits and return. - -Note that the re-allocation result is actually stored in a temporary pointer $tmp$. This is to allow this function to return -an error with a valid pointer. Earlier releases of the library stored the result of XREALLOC into the mp\_int $a$. That would -result in a memory leak if XREALLOC ever failed. - -\subsection{Initializing Variable Precision mp\_ints} -Occasionally the number of digits required will be known in advance of an initialization, based on, for example, the size -of input mp\_ints to a given algorithm. The purpose of algorithm mp\_init\_size is similar to mp\_init except that it -will allocate \textit{at least} a specified number of digits. - -\begin{figure}[here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_init\_size}. \\ -\textbf{Input}. An mp\_int $a$ and the requested number of digits $b$. \\ -\textbf{Output}. $a$ is initialized to hold at least $b$ digits. \\ -\hline \\ -1. $u \leftarrow b \mbox{ (mod }MP\_PREC\mbox{)}$ \\ -2. $v \leftarrow b + 2 \cdot MP\_PREC - u$ \\ -3. Allocate $v$ digits. \\ -4. for $n$ from $0$ to $v - 1$ do \\ -\hspace{3mm}4.1 $a_n \leftarrow 0$ \\ -5. $a.sign \leftarrow MP\_ZPOS$\\ -6. $a.used \leftarrow 0$\\ -7. $a.alloc \leftarrow v$\\ -8. Return(\textit{MP\_OKAY})\\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_init\_size} -\end{figure} - -\textbf{Algorithm mp\_init\_size.} -This algorithm will initialize an mp\_int structure $a$ like algorithm mp\_init with the exception that the number of -digits allocated can be controlled by the second input argument $b$. The input size is padded upwards so it is a -multiple of \textbf{MP\_PREC} plus an additional \textbf{MP\_PREC} digits. This padding is used to prevent trivial -allocations from becoming a bottleneck in the rest of the algorithms. - -Like algorithm mp\_init, the mp\_int structure is initialized to a default state representing the integer zero. This -particular algorithm is useful if it is known ahead of time the approximate size of the input. If the approximation is -correct no further memory re-allocations are required to work with the mp\_int. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_init\_size.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The number of digits $b$ requested is padded (line 24) by first augmenting it to the next multiple of -\textbf{MP\_PREC} and then adding \textbf{MP\_PREC} to the result. If the memory can be successfully allocated the -mp\_int is placed in a default state representing the integer zero. Otherwise, the error code \textbf{MP\_MEM} will be -returned (line 29). - -The digits are allocated and set to zero at the same time with the calloc() function (line @25,XCALLOC@). The -\textbf{used} count is set to zero, the \textbf{alloc} count set to the padded digit count and the \textbf{sign} flag set -to \textbf{MP\_ZPOS} to achieve a default valid mp\_int state (lines 33, 34 and 35). If the function -returns succesfully then it is correct to assume that the mp\_int structure is in a valid state for the remainder of the -functions to work with. - -\subsection{Multiple Integer Initializations and Clearings} -Occasionally a function will require a series of mp\_int data types to be made available simultaneously. -The purpose of algorithm mp\_init\_multi is to initialize a variable length array of mp\_int structures in a single -statement. It is essentially a shortcut to multiple initializations. - -\newpage\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_init\_multi}. \\ -\textbf{Input}. Variable length array $V_k$ of mp\_int variables of length $k$. \\ -\textbf{Output}. The array is initialized such that each mp\_int of $V_k$ is ready to use. \\ -\hline \\ -1. for $n$ from 0 to $k - 1$ do \\ -\hspace{+3mm}1.1. Initialize the mp\_int $V_n$ (\textit{mp\_init}) \\ -\hspace{+3mm}1.2. If initialization failed then do \\ -\hspace{+6mm}1.2.1. for $j$ from $0$ to $n$ do \\ -\hspace{+9mm}1.2.1.1. Free the mp\_int $V_j$ (\textit{mp\_clear}) \\ -\hspace{+6mm}1.2.2. Return(\textit{MP\_MEM}) \\ -2. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_init\_multi} -\end{figure} - -\textbf{Algorithm mp\_init\_multi.} -The algorithm will initialize the array of mp\_int variables one at a time. If a runtime error has been detected -(\textit{step 1.2}) all of the previously initialized variables are cleared. The goal is an ``all or nothing'' -initialization which allows for quick recovery from runtime errors. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_init\_multi.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -This function intializes a variable length list of mp\_int structure pointers. However, instead of having the mp\_int -structures in an actual C array they are simply passed as arguments to the function. This function makes use of the -``...'' argument syntax of the C programming language. The list is terminated with a final \textbf{NULL} argument -appended on the right. - -The function uses the ``stdarg.h'' \textit{va} functions to step portably through the arguments to the function. A count -$n$ of succesfully initialized mp\_int structures is maintained (line 48) such that if a failure does occur, -the algorithm can backtrack and free the previously initialized structures (lines 28 to 47). - - -\subsection{Clamping Excess Digits} -When a function anticipates a result will be $n$ digits it is simpler to assume this is true within the body of -the function instead of checking during the computation. For example, a multiplication of a $i$ digit number by a -$j$ digit produces a result of at most $i + j$ digits. It is entirely possible that the result is $i + j - 1$ -though, with no final carry into the last position. However, suppose the destination had to be first expanded -(\textit{via mp\_grow}) to accomodate $i + j - 1$ digits than further expanded to accomodate the final carry. -That would be a considerable waste of time since heap operations are relatively slow. - -The ideal solution is to always assume the result is $i + j$ and fix up the \textbf{used} count after the function -terminates. This way a single heap operation (\textit{at most}) is required. However, if the result was not checked -there would be an excess high order zero digit. - -For example, suppose the product of two integers was $x_n = (0x_{n-1}x_{n-2}...x_0)_{\beta}$. The leading zero digit -will not contribute to the precision of the result. In fact, through subsequent operations more leading zero digits would -accumulate to the point the size of the integer would be prohibitive. As a result even though the precision is very -low the representation is excessively large. - -The mp\_clamp algorithm is designed to solve this very problem. It will trim high-order zeros by decrementing the -\textbf{used} count until a non-zero most significant digit is found. Also in this system, zero is considered to be a -positive number which means that if the \textbf{used} count is decremented to zero, the sign must be set to -\textbf{MP\_ZPOS}. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_clamp}. \\ -\textbf{Input}. An mp\_int $a$ \\ -\textbf{Output}. Any excess leading zero digits of $a$ are removed \\ -\hline \\ -1. while $a.used > 0$ and $a_{a.used - 1} = 0$ do \\ -\hspace{+3mm}1.1 $a.used \leftarrow a.used - 1$ \\ -2. if $a.used = 0$ then do \\ -\hspace{+3mm}2.1 $a.sign \leftarrow MP\_ZPOS$ \\ -\hline \\ -\end{tabular} -\end{center} -\caption{Algorithm mp\_clamp} -\end{figure} - -\textbf{Algorithm mp\_clamp.} -As can be expected this algorithm is very simple. The loop on step one is expected to iterate only once or twice at -the most. For example, this will happen in cases where there is not a carry to fill the last position. Step two fixes the sign for -when all of the digits are zero to ensure that the mp\_int is valid at all times. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_clamp.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -Note on line 28 how to test for the \textbf{used} count is made on the left of the \&\& operator. In the C programming -language the terms to \&\& are evaluated left to right with a boolean short-circuit if any condition fails. This is -important since if the \textbf{used} is zero the test on the right would fetch below the array. That is obviously -undesirable. The parenthesis on line 31 is used to make sure the \textbf{used} count is decremented and not -the pointer ``a''. - -\section*{Exercises} -\begin{tabular}{cl} -$\left [ 1 \right ]$ & Discuss the relevance of the \textbf{used} member of the mp\_int structure. \\ - & \\ -$\left [ 1 \right ]$ & Discuss the consequences of not using padding when performing allocations. \\ - & \\ -$\left [ 2 \right ]$ & Estimate an ideal value for \textbf{MP\_PREC} when performing 1024-bit RSA \\ - & encryption when $\beta = 2^{28}$. \\ - & \\ -$\left [ 1 \right ]$ & Discuss the relevance of the algorithm mp\_clamp. What does it prevent? \\ - & \\ -$\left [ 1 \right ]$ & Give an example of when the algorithm mp\_init\_copy might be useful. \\ - & \\ -\end{tabular} - - -%%% -% CHAPTER FOUR -%%% - -\chapter{Basic Operations} - -\section{Introduction} -In the previous chapter a series of low level algorithms were established that dealt with initializing and maintaining -mp\_int structures. This chapter will discuss another set of seemingly non-algebraic algorithms which will form the low -level basis of the entire library. While these algorithm are relatively trivial it is important to understand how they -work before proceeding since these algorithms will be used almost intrinsically in the following chapters. - -The algorithms in this chapter deal primarily with more ``programmer'' related tasks such as creating copies of -mp\_int structures, assigning small values to mp\_int structures and comparisons of the values mp\_int structures -represent. - -\section{Assigning Values to mp\_int Structures} -\subsection{Copying an mp\_int} -Assigning the value that a given mp\_int structure represents to another mp\_int structure shall be known as making -a copy for the purposes of this text. The copy of the mp\_int will be a separate entity that represents the same -value as the mp\_int it was copied from. The mp\_copy algorithm provides this functionality. - -\newpage\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_copy}. \\ -\textbf{Input}. An mp\_int $a$ and $b$. \\ -\textbf{Output}. Store a copy of $a$ in $b$. \\ -\hline \\ -1. If $b.alloc < a.used$ then grow $b$ to $a.used$ digits. (\textit{mp\_grow}) \\ -2. for $n$ from 0 to $a.used - 1$ do \\ -\hspace{3mm}2.1 $b_{n} \leftarrow a_{n}$ \\ -3. for $n$ from $a.used$ to $b.used - 1$ do \\ -\hspace{3mm}3.1 $b_{n} \leftarrow 0$ \\ -4. $b.used \leftarrow a.used$ \\ -5. $b.sign \leftarrow a.sign$ \\ -6. return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_copy} -\end{figure} - -\textbf{Algorithm mp\_copy.} -This algorithm copies the mp\_int $a$ such that upon succesful termination of the algorithm the mp\_int $b$ will -represent the same integer as the mp\_int $a$. The mp\_int $b$ shall be a complete and distinct copy of the -mp\_int $a$ meaing that the mp\_int $a$ can be modified and it shall not affect the value of the mp\_int $b$. - -If $b$ does not have enough room for the digits of $a$ it must first have its precision augmented via the mp\_grow -algorithm. The digits of $a$ are copied over the digits of $b$ and any excess digits of $b$ are set to zero (step two -and three). The \textbf{used} and \textbf{sign} members of $a$ are finally copied over the respective members of -$b$. - -\textbf{Remark.} This algorithm also introduces a new idiosyncrasy that will be used throughout the rest of the -text. The error return codes of other algorithms are not explicitly checked in the pseudo-code presented. For example, in -step one of the mp\_copy algorithm the return of mp\_grow is not explicitly checked to ensure it succeeded. Text space is -limited so it is assumed that if a algorithm fails it will clear all temporarily allocated mp\_ints and return -the error code itself. However, the C code presented will demonstrate all of the error handling logic required to -implement the pseudo-code. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_copy.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -Occasionally a dependent algorithm may copy an mp\_int effectively into itself such as when the input and output -mp\_int structures passed to a function are one and the same. For this case it is optimal to return immediately without -copying digits (line 25). - -The mp\_int $b$ must have enough digits to accomodate the used digits of the mp\_int $a$. If $b.alloc$ is less than -$a.used$ the algorithm mp\_grow is used to augment the precision of $b$ (lines 30 to 33). In order to -simplify the inner loop that copies the digits from $a$ to $b$, two aliases $tmpa$ and $tmpb$ point directly at the digits -of the mp\_ints $a$ and $b$ respectively. These aliases (lines 43 and 46) allow the compiler to access the digits without first dereferencing the -mp\_int pointers and then subsequently the pointer to the digits. - -After the aliases are established the digits from $a$ are copied into $b$ (lines 49 to 51) and then the excess -digits of $b$ are set to zero (lines 54 to 56). Both ``for'' loops make use of the pointer aliases and in -fact the alias for $b$ is carried through into the second ``for'' loop to clear the excess digits. This optimization -allows the alias to stay in a machine register fairly easy between the two loops. - -\textbf{Remarks.} The use of pointer aliases is an implementation methodology first introduced in this function that will -be used considerably in other functions. Technically, a pointer alias is simply a short hand alias used to lower the -number of pointer dereferencing operations required to access data. For example, a for loop may resemble - -\begin{alltt} -for (x = 0; x < 100; x++) \{ - a->num[4]->dp[x] = 0; -\} -\end{alltt} - -This could be re-written using aliases as - -\begin{alltt} -mp_digit *tmpa; -a = a->num[4]->dp; -for (x = 0; x < 100; x++) \{ - *a++ = 0; -\} -\end{alltt} - -In this case an alias is used to access the -array of digits within an mp\_int structure directly. It may seem that a pointer alias is strictly not required -as a compiler may optimize out the redundant pointer operations. However, there are two dominant reasons to use aliases. - -The first reason is that most compilers will not effectively optimize pointer arithmetic. For example, some optimizations -may work for the Microsoft Visual C++ compiler (MSVC) and not for the GNU C Compiler (GCC). Also some optimizations may -work for GCC and not MSVC. As such it is ideal to find a common ground for as many compilers as possible. Pointer -aliases optimize the code considerably before the compiler even reads the source code which means the end compiled code -stands a better chance of being faster. - -The second reason is that pointer aliases often can make an algorithm simpler to read. Consider the first ``for'' -loop of the function mp\_copy() re-written to not use pointer aliases. - -\begin{alltt} - /* copy all the digits */ - for (n = 0; n < a->used; n++) \{ - b->dp[n] = a->dp[n]; - \} -\end{alltt} - -Whether this code is harder to read depends strongly on the individual. However, it is quantifiably slightly more -complicated as there are four variables within the statement instead of just two. - -\subsubsection{Nested Statements} -Another commonly used technique in the source routines is that certain sections of code are nested. This is used in -particular with the pointer aliases to highlight code phases. For example, a Comba multiplier (discussed in chapter six) -will typically have three different phases. First the temporaries are initialized, then the columns calculated and -finally the carries are propagated. In this example the middle column production phase will typically be nested as it -uses temporary variables and aliases the most. - -The nesting also simplies the source code as variables that are nested are only valid for their scope. As a result -the various temporary variables required do not propagate into other sections of code. - - -\subsection{Creating a Clone} -Another common operation is to make a local temporary copy of an mp\_int argument. To initialize an mp\_int -and then copy another existing mp\_int into the newly intialized mp\_int will be known as creating a clone. This is -useful within functions that need to modify an argument but do not wish to actually modify the original copy. The -mp\_init\_copy algorithm has been designed to help perform this task. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_init\_copy}. \\ -\textbf{Input}. An mp\_int $a$ and $b$\\ -\textbf{Output}. $a$ is initialized to be a copy of $b$. \\ -\hline \\ -1. Init $a$. (\textit{mp\_init}) \\ -2. Copy $b$ to $a$. (\textit{mp\_copy}) \\ -3. Return the status of the copy operation. \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_init\_copy} -\end{figure} - -\textbf{Algorithm mp\_init\_copy.} -This algorithm will initialize an mp\_int variable and copy another previously initialized mp\_int variable into it. As -such this algorithm will perform two operations in one step. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_init\_copy.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -This will initialize \textbf{a} and make it a verbatim copy of the contents of \textbf{b}. Note that -\textbf{a} will have its own memory allocated which means that \textbf{b} may be cleared after the call -and \textbf{a} will be left intact. - -\section{Zeroing an Integer} -Reseting an mp\_int to the default state is a common step in many algorithms. The mp\_zero algorithm will be the algorithm used to -perform this task. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_zero}. \\ -\textbf{Input}. An mp\_int $a$ \\ -\textbf{Output}. Zero the contents of $a$ \\ -\hline \\ -1. $a.used \leftarrow 0$ \\ -2. $a.sign \leftarrow$ MP\_ZPOS \\ -3. for $n$ from 0 to $a.alloc - 1$ do \\ -\hspace{3mm}3.1 $a_n \leftarrow 0$ \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_zero} -\end{figure} - -\textbf{Algorithm mp\_zero.} -This algorithm simply resets a mp\_int to the default state. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_zero.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -After the function is completed, all of the digits are zeroed, the \textbf{used} count is zeroed and the -\textbf{sign} variable is set to \textbf{MP\_ZPOS}. - -\section{Sign Manipulation} -\subsection{Absolute Value} -With the mp\_int representation of an integer, calculating the absolute value is trivial. The mp\_abs algorithm will compute -the absolute value of an mp\_int. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_abs}. \\ -\textbf{Input}. An mp\_int $a$ \\ -\textbf{Output}. Computes $b = \vert a \vert$ \\ -\hline \\ -1. Copy $a$ to $b$. (\textit{mp\_copy}) \\ -2. If the copy failed return(\textit{MP\_MEM}). \\ -3. $b.sign \leftarrow MP\_ZPOS$ \\ -4. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_abs} -\end{figure} - -\textbf{Algorithm mp\_abs.} -This algorithm computes the absolute of an mp\_int input. First it copies $a$ over $b$. This is an example of an -algorithm where the check in mp\_copy that determines if the source and destination are equal proves useful. This allows, -for instance, the developer to pass the same mp\_int as the source and destination to this function without addition -logic to handle it. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_abs.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -This fairly trivial algorithm first eliminates non--required duplications (line 28) and then sets the -\textbf{sign} flag to \textbf{MP\_ZPOS}. - -\subsection{Integer Negation} -With the mp\_int representation of an integer, calculating the negation is also trivial. The mp\_neg algorithm will compute -the negative of an mp\_int input. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_neg}. \\ -\textbf{Input}. An mp\_int $a$ \\ -\textbf{Output}. Computes $b = -a$ \\ -\hline \\ -1. Copy $a$ to $b$. (\textit{mp\_copy}) \\ -2. If the copy failed return(\textit{MP\_MEM}). \\ -3. If $a.used = 0$ then return(\textit{MP\_OKAY}). \\ -4. If $a.sign = MP\_ZPOS$ then do \\ -\hspace{3mm}4.1 $b.sign = MP\_NEG$. \\ -5. else do \\ -\hspace{3mm}5.1 $b.sign = MP\_ZPOS$. \\ -6. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_neg} -\end{figure} - -\textbf{Algorithm mp\_neg.} -This algorithm computes the negation of an input. First it copies $a$ over $b$. If $a$ has no used digits then -the algorithm returns immediately. Otherwise it flips the sign flag and stores the result in $b$. Note that if -$a$ had no digits then it must be positive by definition. Had step three been omitted then the algorithm would return -zero as negative. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_neg.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -Like mp\_abs() this function avoids non--required duplications (line 22) and then sets the sign. We -have to make sure that only non--zero values get a \textbf{sign} of \textbf{MP\_NEG}. If the mp\_int is zero -than the \textbf{sign} is hard--coded to \textbf{MP\_ZPOS}. - -\section{Small Constants} -\subsection{Setting Small Constants} -Often a mp\_int must be set to a relatively small value such as $1$ or $2$. For these cases the mp\_set algorithm is useful. - -\newpage\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_set}. \\ -\textbf{Input}. An mp\_int $a$ and a digit $b$ \\ -\textbf{Output}. Make $a$ equivalent to $b$ \\ -\hline \\ -1. Zero $a$ (\textit{mp\_zero}). \\ -2. $a_0 \leftarrow b \mbox{ (mod }\beta\mbox{)}$ \\ -3. $a.used \leftarrow \left \lbrace \begin{array}{ll} - 1 & \mbox{if }a_0 > 0 \\ - 0 & \mbox{if }a_0 = 0 - \end{array} \right .$ \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_set} -\end{figure} - -\textbf{Algorithm mp\_set.} -This algorithm sets a mp\_int to a small single digit value. Step number 1 ensures that the integer is reset to the default state. The -single digit is set (\textit{modulo $\beta$}) and the \textbf{used} count is adjusted accordingly. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_set.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -First we zero (line 21) the mp\_int to make sure that the other members are initialized for a -small positive constant. mp\_zero() ensures that the \textbf{sign} is positive and the \textbf{used} count -is zero. Next we set the digit and reduce it modulo $\beta$ (line 22). After this step we have to -check if the resulting digit is zero or not. If it is not then we set the \textbf{used} count to one, otherwise -to zero. - -We can quickly reduce modulo $\beta$ since it is of the form $2^k$ and a quick binary AND operation with -$2^k - 1$ will perform the same operation. - -One important limitation of this function is that it will only set one digit. The size of a digit is not fixed, meaning source that uses -this function should take that into account. Only trivially small constants can be set using this function. - -\subsection{Setting Large Constants} -To overcome the limitations of the mp\_set algorithm the mp\_set\_int algorithm is ideal. It accepts a ``long'' -data type as input and will always treat it as a 32-bit integer. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_set\_int}. \\ -\textbf{Input}. An mp\_int $a$ and a ``long'' integer $b$ \\ -\textbf{Output}. Make $a$ equivalent to $b$ \\ -\hline \\ -1. Zero $a$ (\textit{mp\_zero}) \\ -2. for $n$ from 0 to 7 do \\ -\hspace{3mm}2.1 $a \leftarrow a \cdot 16$ (\textit{mp\_mul2d}) \\ -\hspace{3mm}2.2 $u \leftarrow \lfloor b / 2^{4(7 - n)} \rfloor \mbox{ (mod }16\mbox{)}$\\ -\hspace{3mm}2.3 $a_0 \leftarrow a_0 + u$ \\ -\hspace{3mm}2.4 $a.used \leftarrow a.used + 1$ \\ -3. Clamp excess used digits (\textit{mp\_clamp}) \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_set\_int} -\end{figure} - -\textbf{Algorithm mp\_set\_int.} -The algorithm performs eight iterations of a simple loop where in each iteration four bits from the source are added to the -mp\_int. Step 2.1 will multiply the current result by sixteen making room for four more bits in the less significant positions. In step 2.2 the -next four bits from the source are extracted and are added to the mp\_int. The \textbf{used} digit count is -incremented to reflect the addition. The \textbf{used} digit counter is incremented since if any of the leading digits were zero the mp\_int would have -zero digits used and the newly added four bits would be ignored. - -Excess zero digits are trimmed in steps 2.1 and 3 by using higher level algorithms mp\_mul2d and mp\_clamp. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_set\_int.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -This function sets four bits of the number at a time to handle all practical \textbf{DIGIT\_BIT} sizes. The weird -addition on line 39 ensures that the newly added in bits are added to the number of digits. While it may not -seem obvious as to why the digit counter does not grow exceedingly large it is because of the shift on line 28 -as well as the call to mp\_clamp() on line 41. Both functions will clamp excess leading digits which keeps -the number of used digits low. - -\section{Comparisons} -\subsection{Unsigned Comparisions} -Comparing a multiple precision integer is performed with the exact same algorithm used to compare two decimal numbers. For example, -to compare $1,234$ to $1,264$ the digits are extracted by their positions. That is we compare $1 \cdot 10^3 + 2 \cdot 10^2 + 3 \cdot 10^1 + 4 \cdot 10^0$ -to $1 \cdot 10^3 + 2 \cdot 10^2 + 6 \cdot 10^1 + 4 \cdot 10^0$ by comparing single digits at a time starting with the highest magnitude -positions. If any leading digit of one integer is greater than a digit in the same position of another integer then obviously it must be greater. - -The first comparision routine that will be developed is the unsigned magnitude compare which will perform a comparison based on the digits of two -mp\_int variables alone. It will ignore the sign of the two inputs. Such a function is useful when an absolute comparison is required or if the -signs are known to agree in advance. - -To facilitate working with the results of the comparison functions three constants are required. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{|r|l|} -\hline \textbf{Constant} & \textbf{Meaning} \\ -\hline \textbf{MP\_GT} & Greater Than \\ -\hline \textbf{MP\_EQ} & Equal To \\ -\hline \textbf{MP\_LT} & Less Than \\ -\hline -\end{tabular} -\end{center} -\caption{Comparison Return Codes} -\end{figure} - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_cmp\_mag}. \\ -\textbf{Input}. Two mp\_ints $a$ and $b$. \\ -\textbf{Output}. Unsigned comparison results ($a$ to the left of $b$). \\ -\hline \\ -1. If $a.used > b.used$ then return(\textit{MP\_GT}) \\ -2. If $a.used < b.used$ then return(\textit{MP\_LT}) \\ -3. for n from $a.used - 1$ to 0 do \\ -\hspace{+3mm}3.1 if $a_n > b_n$ then return(\textit{MP\_GT}) \\ -\hspace{+3mm}3.2 if $a_n < b_n$ then return(\textit{MP\_LT}) \\ -4. Return(\textit{MP\_EQ}) \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_cmp\_mag} -\end{figure} - -\textbf{Algorithm mp\_cmp\_mag.} -By saying ``$a$ to the left of $b$'' it is meant that the comparison is with respect to $a$, that is if $a$ is greater than $b$ it will return -\textbf{MP\_GT} and similar with respect to when $a = b$ and $a < b$. The first two steps compare the number of digits used in both $a$ and $b$. -Obviously if the digit counts differ there would be an imaginary zero digit in the smaller number where the leading digit of the larger number is. -If both have the same number of digits than the actual digits themselves must be compared starting at the leading digit. - -By step three both inputs must have the same number of digits so its safe to start from either $a.used - 1$ or $b.used - 1$ and count down to -the zero'th digit. If after all of the digits have been compared, no difference is found, the algorithm returns \textbf{MP\_EQ}. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_cmp\_mag.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The two if statements (lines 25 and 29) compare the number of digits in the two inputs. These two are -performed before all of the digits are compared since it is a very cheap test to perform and can potentially save -considerable time. The implementation given is also not valid without those two statements. $b.alloc$ may be -smaller than $a.used$, meaning that undefined values will be read from $b$ past the end of the array of digits. - - - -\subsection{Signed Comparisons} -Comparing with sign considerations is also fairly critical in several routines (\textit{division for example}). Based on an unsigned magnitude -comparison a trivial signed comparison algorithm can be written. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_cmp}. \\ -\textbf{Input}. Two mp\_ints $a$ and $b$ \\ -\textbf{Output}. Signed Comparison Results ($a$ to the left of $b$) \\ -\hline \\ -1. if $a.sign = MP\_NEG$ and $b.sign = MP\_ZPOS$ then return(\textit{MP\_LT}) \\ -2. if $a.sign = MP\_ZPOS$ and $b.sign = MP\_NEG$ then return(\textit{MP\_GT}) \\ -3. if $a.sign = MP\_NEG$ then \\ -\hspace{+3mm}3.1 Return the unsigned comparison of $b$ and $a$ (\textit{mp\_cmp\_mag}) \\ -4 Otherwise \\ -\hspace{+3mm}4.1 Return the unsigned comparison of $a$ and $b$ \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_cmp} -\end{figure} - -\textbf{Algorithm mp\_cmp.} -The first two steps compare the signs of the two inputs. If the signs do not agree then it can return right away with the appropriate -comparison code. When the signs are equal the digits of the inputs must be compared to determine the correct result. In step -three the unsigned comparision flips the order of the arguments since they are both negative. For instance, if $-a > -b$ then -$\vert a \vert < \vert b \vert$. Step number four will compare the two when they are both positive. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_cmp.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The two if statements (lines 23 and 24) perform the initial sign comparison. If the signs are not the equal then which ever -has the positive sign is larger. The inputs are compared (line 32) based on magnitudes. If the signs were both -negative then the unsigned comparison is performed in the opposite direction (line 34). Otherwise, the signs are assumed to -be both positive and a forward direction unsigned comparison is performed. - -\section*{Exercises} -\begin{tabular}{cl} -$\left [ 2 \right ]$ & Modify algorithm mp\_set\_int to accept as input a variable length array of bits. \\ - & \\ -$\left [ 3 \right ]$ & Give the probability that algorithm mp\_cmp\_mag will have to compare $k$ digits \\ - & of two random digits (of equal magnitude) before a difference is found. \\ - & \\ -$\left [ 1 \right ]$ & Suggest a simple method to speed up the implementation of mp\_cmp\_mag based \\ - & on the observations made in the previous problem. \\ - & -\end{tabular} - -\chapter{Basic Arithmetic} -\section{Introduction} -At this point algorithms for initialization, clearing, zeroing, copying, comparing and setting small constants have been -established. The next logical set of algorithms to develop are addition, subtraction and digit shifting algorithms. These -algorithms make use of the lower level algorithms and are the cruicial building block for the multiplication algorithms. It is very important -that these algorithms are highly optimized. On their own they are simple $O(n)$ algorithms but they can be called from higher level algorithms -which easily places them at $O(n^2)$ or even $O(n^3)$ work levels. - -All of the algorithms within this chapter make use of the logical bit shift operations denoted by $<<$ and $>>$ for left and right -logical shifts respectively. A logical shift is analogous to sliding the decimal point of radix-10 representations. For example, the real -number $0.9345$ is equivalent to $93.45\%$ which is found by sliding the the decimal two places to the right (\textit{multiplying by $\beta^2 = 10^2$}). -Algebraically a binary logical shift is equivalent to a division or multiplication by a power of two. -For example, $a << k = a \cdot 2^k$ while $a >> k = \lfloor a/2^k \rfloor$. - -One significant difference between a logical shift and the way decimals are shifted is that digits below the zero'th position are removed -from the number. For example, consider $1101_2 >> 1$ using decimal notation this would produce $110.1_2$. However, with a logical shift the -result is $110_2$. - -\section{Addition and Subtraction} -In common twos complement fixed precision arithmetic negative numbers are easily represented by subtraction from the modulus. For example, with 32-bit integers -$a - b\mbox{ (mod }2^{32}\mbox{)}$ is the same as $a + (2^{32} - b) \mbox{ (mod }2^{32}\mbox{)}$ since $2^{32} \equiv 0 \mbox{ (mod }2^{32}\mbox{)}$. -As a result subtraction can be performed with a trivial series of logical operations and an addition. - -However, in multiple precision arithmetic negative numbers are not represented in the same way. Instead a sign flag is used to keep track of the -sign of the integer. As a result signed addition and subtraction are actually implemented as conditional usage of lower level addition or -subtraction algorithms with the sign fixed up appropriately. - -The lower level algorithms will add or subtract integers without regard to the sign flag. That is they will add or subtract the magnitude of -the integers respectively. - -\subsection{Low Level Addition} -An unsigned addition of multiple precision integers is performed with the same long-hand algorithm used to add decimal numbers. That is to add the -trailing digits first and propagate the resulting carry upwards. Since this is a lower level algorithm the name will have a ``s\_'' prefix. -Historically that convention stems from the MPI library where ``s\_'' stood for static functions that were hidden from the developer entirely. - -\newpage -\begin{figure}[!here] -\begin{center} -\begin{small} -\begin{tabular}{l} -\hline Algorithm \textbf{s\_mp\_add}. \\ -\textbf{Input}. Two mp\_ints $a$ and $b$ \\ -\textbf{Output}. The unsigned addition $c = \vert a \vert + \vert b \vert$. \\ -\hline \\ -1. if $a.used > b.used$ then \\ -\hspace{+3mm}1.1 $min \leftarrow b.used$ \\ -\hspace{+3mm}1.2 $max \leftarrow a.used$ \\ -\hspace{+3mm}1.3 $x \leftarrow a$ \\ -2. else \\ -\hspace{+3mm}2.1 $min \leftarrow a.used$ \\ -\hspace{+3mm}2.2 $max \leftarrow b.used$ \\ -\hspace{+3mm}2.3 $x \leftarrow b$ \\ -3. If $c.alloc < max + 1$ then grow $c$ to hold at least $max + 1$ digits (\textit{mp\_grow}) \\ -4. $oldused \leftarrow c.used$ \\ -5. $c.used \leftarrow max + 1$ \\ -6. $u \leftarrow 0$ \\ -7. for $n$ from $0$ to $min - 1$ do \\ -\hspace{+3mm}7.1 $c_n \leftarrow a_n + b_n + u$ \\ -\hspace{+3mm}7.2 $u \leftarrow c_n >> lg(\beta)$ \\ -\hspace{+3mm}7.3 $c_n \leftarrow c_n \mbox{ (mod }\beta\mbox{)}$ \\ -8. if $min \ne max$ then do \\ -\hspace{+3mm}8.1 for $n$ from $min$ to $max - 1$ do \\ -\hspace{+6mm}8.1.1 $c_n \leftarrow x_n + u$ \\ -\hspace{+6mm}8.1.2 $u \leftarrow c_n >> lg(\beta)$ \\ -\hspace{+6mm}8.1.3 $c_n \leftarrow c_n \mbox{ (mod }\beta\mbox{)}$ \\ -9. $c_{max} \leftarrow u$ \\ -10. if $olduse > max$ then \\ -\hspace{+3mm}10.1 for $n$ from $max + 1$ to $oldused - 1$ do \\ -\hspace{+6mm}10.1.1 $c_n \leftarrow 0$ \\ -11. Clamp excess digits in $c$. (\textit{mp\_clamp}) \\ -12. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{small} -\end{center} -\caption{Algorithm s\_mp\_add} -\end{figure} - -\textbf{Algorithm s\_mp\_add.} -This algorithm is loosely based on algorithm 14.7 of HAC \cite[pp. 594]{HAC} but has been extended to allow the inputs to have different magnitudes. -Coincidentally the description of algorithm A in Knuth \cite[pp. 266]{TAOCPV2} shares the same deficiency as the algorithm from \cite{HAC}. Even the -MIX pseudo machine code presented by Knuth \cite[pp. 266-267]{TAOCPV2} is incapable of handling inputs which are of different magnitudes. - -The first thing that has to be accomplished is to sort out which of the two inputs is the largest. The addition logic -will simply add all of the smallest input to the largest input and store that first part of the result in the -destination. Then it will apply a simpler addition loop to excess digits of the larger input. - -The first two steps will handle sorting the inputs such that $min$ and $max$ hold the digit counts of the two -inputs. The variable $x$ will be an mp\_int alias for the largest input or the second input $b$ if they have the -same number of digits. After the inputs are sorted the destination $c$ is grown as required to accomodate the sum -of the two inputs. The original \textbf{used} count of $c$ is copied and set to the new used count. - -At this point the first addition loop will go through as many digit positions that both inputs have. The carry -variable $\mu$ is set to zero outside the loop. Inside the loop an ``addition'' step requires three statements to produce -one digit of the summand. First -two digits from $a$ and $b$ are added together along with the carry $\mu$. The carry of this step is extracted and stored -in $\mu$ and finally the digit of the result $c_n$ is truncated within the range $0 \le c_n < \beta$. - -Now all of the digit positions that both inputs have in common have been exhausted. If $min \ne max$ then $x$ is an alias -for one of the inputs that has more digits. A simplified addition loop is then used to essentially copy the remaining digits -and the carry to the destination. - -The final carry is stored in $c_{max}$ and digits above $max$ upto $oldused$ are zeroed which completes the addition. - - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_s\_mp\_add.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -We first sort (lines 28 to 36) the inputs based on magnitude and determine the $min$ and $max$ variables. -Note that $x$ is a pointer to an mp\_int assigned to the largest input, in effect it is a local alias. Next we -grow the destination (38 to 42) ensure that it can accomodate the result of the addition. - -Similar to the implementation of mp\_copy this function uses the braced code and local aliases coding style. The three aliases that are on -lines 56, 59 and 62 represent the two inputs and destination variables respectively. These aliases are used to ensure the -compiler does not have to dereference $a$, $b$ or $c$ (respectively) to access the digits of the respective mp\_int. - -The initial carry $u$ will be cleared (line 65), note that $u$ is of type mp\_digit which ensures type -compatibility within the implementation. The initial addition (line 66 to 75) adds digits from -both inputs until the smallest input runs out of digits. Similarly the conditional addition loop -(line 81 to 90) adds the remaining digits from the larger of the two inputs. The addition is finished -with the final carry being stored in $tmpc$ (line 94). Note the ``++'' operator within the same expression. -After line 94, $tmpc$ will point to the $c.used$'th digit of the mp\_int $c$. This is useful -for the next loop (line 97 to 99) which set any old upper digits to zero. - -\subsection{Low Level Subtraction} -The low level unsigned subtraction algorithm is very similar to the low level unsigned addition algorithm. The principle difference is that the -unsigned subtraction algorithm requires the result to be positive. That is when computing $a - b$ the condition $\vert a \vert \ge \vert b\vert$ must -be met for this algorithm to function properly. Keep in mind this low level algorithm is not meant to be used in higher level algorithms directly. -This algorithm as will be shown can be used to create functional signed addition and subtraction algorithms. - - -For this algorithm a new variable is required to make the description simpler. Recall from section 1.3.1 that a mp\_digit must be able to represent -the range $0 \le x < 2\beta$ for the algorithms to work correctly. However, it is allowable that a mp\_digit represent a larger range of values. For -this algorithm we will assume that the variable $\gamma$ represents the number of bits available in a -mp\_digit (\textit{this implies $2^{\gamma} > \beta$}). - -For example, the default for LibTomMath is to use a ``unsigned long'' for the mp\_digit ``type'' while $\beta = 2^{28}$. In ISO C an ``unsigned long'' -data type must be able to represent $0 \le x < 2^{32}$ meaning that in this case $\gamma \ge 32$. - -\newpage\begin{figure}[!here] -\begin{center} -\begin{small} -\begin{tabular}{l} -\hline Algorithm \textbf{s\_mp\_sub}. \\ -\textbf{Input}. Two mp\_ints $a$ and $b$ ($\vert a \vert \ge \vert b \vert$) \\ -\textbf{Output}. The unsigned subtraction $c = \vert a \vert - \vert b \vert$. \\ -\hline \\ -1. $min \leftarrow b.used$ \\ -2. $max \leftarrow a.used$ \\ -3. If $c.alloc < max$ then grow $c$ to hold at least $max$ digits. (\textit{mp\_grow}) \\ -4. $oldused \leftarrow c.used$ \\ -5. $c.used \leftarrow max$ \\ -6. $u \leftarrow 0$ \\ -7. for $n$ from $0$ to $min - 1$ do \\ -\hspace{3mm}7.1 $c_n \leftarrow a_n - b_n - u$ \\ -\hspace{3mm}7.2 $u \leftarrow c_n >> (\gamma - 1)$ \\ -\hspace{3mm}7.3 $c_n \leftarrow c_n \mbox{ (mod }\beta\mbox{)}$ \\ -8. if $min < max$ then do \\ -\hspace{3mm}8.1 for $n$ from $min$ to $max - 1$ do \\ -\hspace{6mm}8.1.1 $c_n \leftarrow a_n - u$ \\ -\hspace{6mm}8.1.2 $u \leftarrow c_n >> (\gamma - 1)$ \\ -\hspace{6mm}8.1.3 $c_n \leftarrow c_n \mbox{ (mod }\beta\mbox{)}$ \\ -9. if $oldused > max$ then do \\ -\hspace{3mm}9.1 for $n$ from $max$ to $oldused - 1$ do \\ -\hspace{6mm}9.1.1 $c_n \leftarrow 0$ \\ -10. Clamp excess digits of $c$. (\textit{mp\_clamp}). \\ -11. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{small} -\end{center} -\caption{Algorithm s\_mp\_sub} -\end{figure} - -\textbf{Algorithm s\_mp\_sub.} -This algorithm performs the unsigned subtraction of two mp\_int variables under the restriction that the result must be positive. That is when -passing variables $a$ and $b$ the condition that $\vert a \vert \ge \vert b \vert$ must be met for the algorithm to function correctly. This -algorithm is loosely based on algorithm 14.9 \cite[pp. 595]{HAC} and is similar to algorithm S in \cite[pp. 267]{TAOCPV2} as well. As was the case -of the algorithm s\_mp\_add both other references lack discussion concerning various practical details such as when the inputs differ in magnitude. - -The initial sorting of the inputs is trivial in this algorithm since $a$ is guaranteed to have at least the same magnitude of $b$. Steps 1 and 2 -set the $min$ and $max$ variables. Unlike the addition routine there is guaranteed to be no carry which means that the final result can be at -most $max$ digits in length as opposed to $max + 1$. Similar to the addition algorithm the \textbf{used} count of $c$ is copied locally and -set to the maximal count for the operation. - -The subtraction loop that begins on step seven is essentially the same as the addition loop of algorithm s\_mp\_add except single precision -subtraction is used instead. Note the use of the $\gamma$ variable to extract the carry (\textit{also known as the borrow}) within the subtraction -loops. Under the assumption that two's complement single precision arithmetic is used this will successfully extract the desired carry. - -For example, consider subtracting $0101_2$ from $0100_2$ where $\gamma = 4$ and $\beta = 2$. The least significant bit will force a carry upwards to -the third bit which will be set to zero after the borrow. After the very first bit has been subtracted $4 - 1 \equiv 0011_2$ will remain, When the -third bit of $0101_2$ is subtracted from the result it will cause another carry. In this case though the carry will be forced to propagate all the -way to the most significant bit. - -Recall that $\beta < 2^{\gamma}$. This means that if a carry does occur just before the $lg(\beta)$'th bit it will propagate all the way to the most -significant bit. Thus, the high order bits of the mp\_digit that are not part of the actual digit will either be all zero, or all one. All that -is needed is a single zero or one bit for the carry. Therefore a single logical shift right by $\gamma - 1$ positions is sufficient to extract the -carry. This method of carry extraction may seem awkward but the reason for it becomes apparent when the implementation is discussed. - -If $b$ has a smaller magnitude than $a$ then step 9 will force the carry and copy operation to propagate through the larger input $a$ into $c$. Step -10 will ensure that any leading digits of $c$ above the $max$'th position are zeroed. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_s\_mp\_sub.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -Like low level addition we ``sort'' the inputs. Except in this case the sorting is hardcoded -(lines 25 and 26). In reality the $min$ and $max$ variables are only aliases and are only -used to make the source code easier to read. Again the pointer alias optimization is used -within this algorithm. The aliases $tmpa$, $tmpb$ and $tmpc$ are initialized -(lines 42, 43 and 44) for $a$, $b$ and $c$ respectively. - -The first subtraction loop (lines 47 through 61) subtract digits from both inputs until the smaller of -the two inputs has been exhausted. As remarked earlier there is an implementation reason for using the ``awkward'' -method of extracting the carry (line 57). The traditional method for extracting the carry would be to shift -by $lg(\beta)$ positions and logically AND the least significant bit. The AND operation is required because all of -the bits above the $\lg(\beta)$'th bit will be set to one after a carry occurs from subtraction. This carry -extraction requires two relatively cheap operations to extract the carry. The other method is to simply shift the -most significant bit to the least significant bit thus extracting the carry with a single cheap operation. This -optimization only works on twos compliment machines which is a safe assumption to make. - -If $a$ has a larger magnitude than $b$ an additional loop (lines 64 through 73) is required to propagate -the carry through $a$ and copy the result to $c$. - -\subsection{High Level Addition} -Now that both lower level addition and subtraction algorithms have been established an effective high level signed addition algorithm can be -established. This high level addition algorithm will be what other algorithms and developers will use to perform addition of mp\_int data -types. - -Recall from section 5.2 that an mp\_int represents an integer with an unsigned mantissa (\textit{the array of digits}) and a \textbf{sign} -flag. A high level addition is actually performed as a series of eight separate cases which can be optimized down to three unique cases. - -\begin{figure}[!here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_add}. \\ -\textbf{Input}. Two mp\_ints $a$ and $b$ \\ -\textbf{Output}. The signed addition $c = a + b$. \\ -\hline \\ -1. if $a.sign = b.sign$ then do \\ -\hspace{3mm}1.1 $c.sign \leftarrow a.sign$ \\ -\hspace{3mm}1.2 $c \leftarrow \vert a \vert + \vert b \vert$ (\textit{s\_mp\_add})\\ -2. else do \\ -\hspace{3mm}2.1 if $\vert a \vert < \vert b \vert$ then do (\textit{mp\_cmp\_mag}) \\ -\hspace{6mm}2.1.1 $c.sign \leftarrow b.sign$ \\ -\hspace{6mm}2.1.2 $c \leftarrow \vert b \vert - \vert a \vert$ (\textit{s\_mp\_sub}) \\ -\hspace{3mm}2.2 else do \\ -\hspace{6mm}2.2.1 $c.sign \leftarrow a.sign$ \\ -\hspace{6mm}2.2.2 $c \leftarrow \vert a \vert - \vert b \vert$ \\ -3. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_add} -\end{figure} - -\textbf{Algorithm mp\_add.} -This algorithm performs the signed addition of two mp\_int variables. There is no reference algorithm to draw upon from -either \cite{TAOCPV2} or \cite{HAC} since they both only provide unsigned operations. The algorithm is fairly -straightforward but restricted since subtraction can only produce positive results. - -\begin{figure}[here] -\begin{small} -\begin{center} -\begin{tabular}{|c|c|c|c|c|} -\hline \textbf{Sign of $a$} & \textbf{Sign of $b$} & \textbf{$\vert a \vert > \vert b \vert $} & \textbf{Unsigned Operation} & \textbf{Result Sign Flag} \\ -\hline $+$ & $+$ & Yes & $c = a + b$ & $a.sign$ \\ -\hline $+$ & $+$ & No & $c = a + b$ & $a.sign$ \\ -\hline $-$ & $-$ & Yes & $c = a + b$ & $a.sign$ \\ -\hline $-$ & $-$ & No & $c = a + b$ & $a.sign$ \\ -\hline &&&&\\ - -\hline $+$ & $-$ & No & $c = b - a$ & $b.sign$ \\ -\hline $-$ & $+$ & No & $c = b - a$ & $b.sign$ \\ - -\hline &&&&\\ - -\hline $+$ & $-$ & Yes & $c = a - b$ & $a.sign$ \\ -\hline $-$ & $+$ & Yes & $c = a - b$ & $a.sign$ \\ - -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Addition Guide Chart} -\label{fig:AddChart} -\end{figure} - -Figure~\ref{fig:AddChart} lists all of the eight possible input combinations and is sorted to show that only three -specific cases need to be handled. The return code of the unsigned operations at step 1.2, 2.1.2 and 2.2.2 are -forwarded to step three to check for errors. This simplifies the description of the algorithm considerably and best -follows how the implementation actually was achieved. - -Also note how the \textbf{sign} is set before the unsigned addition or subtraction is performed. Recall from the descriptions of algorithms -s\_mp\_add and s\_mp\_sub that the mp\_clamp function is used at the end to trim excess digits. The mp\_clamp algorithm will set the \textbf{sign} -to \textbf{MP\_ZPOS} when the \textbf{used} digit count reaches zero. - -For example, consider performing $-a + a$ with algorithm mp\_add. By the description of the algorithm the sign is set to \textbf{MP\_NEG} which would -produce a result of $-0$. However, since the sign is set first then the unsigned addition is performed the subsequent usage of algorithm mp\_clamp -within algorithm s\_mp\_add will force $-0$ to become $0$. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_add.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The source code follows the algorithm fairly closely. The most notable new source code addition is the usage of the $res$ integer variable which -is used to pass result of the unsigned operations forward. Unlike in the algorithm, the variable $res$ is merely returned as is without -explicitly checking it and returning the constant \textbf{MP\_OKAY}. The observation is this algorithm will succeed or fail only if the lower -level functions do so. Returning their return code is sufficient. - -\subsection{High Level Subtraction} -The high level signed subtraction algorithm is essentially the same as the high level signed addition algorithm. - -\newpage\begin{figure}[!here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_sub}. \\ -\textbf{Input}. Two mp\_ints $a$ and $b$ \\ -\textbf{Output}. The signed subtraction $c = a - b$. \\ -\hline \\ -1. if $a.sign \ne b.sign$ then do \\ -\hspace{3mm}1.1 $c.sign \leftarrow a.sign$ \\ -\hspace{3mm}1.2 $c \leftarrow \vert a \vert + \vert b \vert$ (\textit{s\_mp\_add}) \\ -2. else do \\ -\hspace{3mm}2.1 if $\vert a \vert \ge \vert b \vert$ then do (\textit{mp\_cmp\_mag}) \\ -\hspace{6mm}2.1.1 $c.sign \leftarrow a.sign$ \\ -\hspace{6mm}2.1.2 $c \leftarrow \vert a \vert - \vert b \vert$ (\textit{s\_mp\_sub}) \\ -\hspace{3mm}2.2 else do \\ -\hspace{6mm}2.2.1 $c.sign \leftarrow \left \lbrace \begin{array}{ll} - MP\_ZPOS & \mbox{if }a.sign = MP\_NEG \\ - MP\_NEG & \mbox{otherwise} \\ - \end{array} \right .$ \\ -\hspace{6mm}2.2.2 $c \leftarrow \vert b \vert - \vert a \vert$ \\ -3. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_sub} -\end{figure} - -\textbf{Algorithm mp\_sub.} -This algorithm performs the signed subtraction of two inputs. Similar to algorithm mp\_add there is no reference in either \cite{TAOCPV2} or -\cite{HAC}. Also this algorithm is restricted by algorithm s\_mp\_sub. Chart \ref{fig:SubChart} lists the eight possible inputs and -the operations required. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{|c|c|c|c|c|} -\hline \textbf{Sign of $a$} & \textbf{Sign of $b$} & \textbf{$\vert a \vert \ge \vert b \vert $} & \textbf{Unsigned Operation} & \textbf{Result Sign Flag} \\ -\hline $+$ & $-$ & Yes & $c = a + b$ & $a.sign$ \\ -\hline $+$ & $-$ & No & $c = a + b$ & $a.sign$ \\ -\hline $-$ & $+$ & Yes & $c = a + b$ & $a.sign$ \\ -\hline $-$ & $+$ & No & $c = a + b$ & $a.sign$ \\ -\hline &&&& \\ -\hline $+$ & $+$ & Yes & $c = a - b$ & $a.sign$ \\ -\hline $-$ & $-$ & Yes & $c = a - b$ & $a.sign$ \\ -\hline &&&& \\ -\hline $+$ & $+$ & No & $c = b - a$ & $\mbox{opposite of }a.sign$ \\ -\hline $-$ & $-$ & No & $c = b - a$ & $\mbox{opposite of }a.sign$ \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Subtraction Guide Chart} -\label{fig:SubChart} -\end{figure} - -Similar to the case of algorithm mp\_add the \textbf{sign} is set first before the unsigned addition or subtraction. That is to prevent the -algorithm from producing $-a - -a = -0$ as a result. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_sub.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -Much like the implementation of algorithm mp\_add the variable $res$ is used to catch the return code of the unsigned addition or subtraction operations -and forward it to the end of the function. On line 39 the ``not equal to'' \textbf{MP\_LT} expression is used to emulate a -``greater than or equal to'' comparison. - -\section{Bit and Digit Shifting} -It is quite common to think of a multiple precision integer as a polynomial in $x$, that is $y = f(\beta)$ where $f(x) = \sum_{i=0}^{n-1} a_i x^i$. -This notation arises within discussion of Montgomery and Diminished Radix Reduction as well as Karatsuba multiplication and squaring. - -In order to facilitate operations on polynomials in $x$ as above a series of simple ``digit'' algorithms have to be established. That is to shift -the digits left or right as well to shift individual bits of the digits left and right. It is important to note that not all ``shift'' operations -are on radix-$\beta$ digits. - -\subsection{Multiplication by Two} - -In a binary system where the radix is a power of two multiplication by two not only arises often in other algorithms it is a fairly efficient -operation to perform. A single precision logical shift left is sufficient to multiply a single digit by two. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_mul\_2}. \\ -\textbf{Input}. One mp\_int $a$ \\ -\textbf{Output}. $b = 2a$. \\ -\hline \\ -1. If $b.alloc < a.used + 1$ then grow $b$ to hold $a.used + 1$ digits. (\textit{mp\_grow}) \\ -2. $oldused \leftarrow b.used$ \\ -3. $b.used \leftarrow a.used$ \\ -4. $r \leftarrow 0$ \\ -5. for $n$ from 0 to $a.used - 1$ do \\ -\hspace{3mm}5.1 $rr \leftarrow a_n >> (lg(\beta) - 1)$ \\ -\hspace{3mm}5.2 $b_n \leftarrow (a_n << 1) + r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{3mm}5.3 $r \leftarrow rr$ \\ -6. If $r \ne 0$ then do \\ -\hspace{3mm}6.1 $b_{n + 1} \leftarrow r$ \\ -\hspace{3mm}6.2 $b.used \leftarrow b.used + 1$ \\ -7. If $b.used < oldused - 1$ then do \\ -\hspace{3mm}7.1 for $n$ from $b.used$ to $oldused - 1$ do \\ -\hspace{6mm}7.1.1 $b_n \leftarrow 0$ \\ -8. $b.sign \leftarrow a.sign$ \\ -9. Return(\textit{MP\_OKAY}).\\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_mul\_2} -\end{figure} - -\textbf{Algorithm mp\_mul\_2.} -This algorithm will quickly multiply a mp\_int by two provided $\beta$ is a power of two. Neither \cite{TAOCPV2} nor \cite{HAC} describe such -an algorithm despite the fact it arises often in other algorithms. The algorithm is setup much like the lower level algorithm s\_mp\_add since -it is for all intents and purposes equivalent to the operation $b = \vert a \vert + \vert a \vert$. - -Step 1 and 2 grow the input as required to accomodate the maximum number of \textbf{used} digits in the result. The initial \textbf{used} count -is set to $a.used$ at step 4. Only if there is a final carry will the \textbf{used} count require adjustment. - -Step 6 is an optimization implementation of the addition loop for this specific case. That is since the two values being added together -are the same there is no need to perform two reads from the digits of $a$. Step 6.1 performs a single precision shift on the current digit $a_n$ to -obtain what will be the carry for the next iteration. Step 6.2 calculates the $n$'th digit of the result as single precision shift of $a_n$ plus -the previous carry. Recall from section 4.1 that $a_n << 1$ is equivalent to $a_n \cdot 2$. An iteration of the addition loop is finished with -forwarding the carry to the next iteration. - -Step 7 takes care of any final carry by setting the $a.used$'th digit of the result to the carry and augmenting the \textbf{used} count of $b$. -Step 8 clears any leading digits of $b$ in case it originally had a larger magnitude than $a$. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_mul\_2.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -This implementation is essentially an optimized implementation of s\_mp\_add for the case of doubling an input. The only noteworthy difference -is the use of the logical shift operator on line 52 to perform a single precision doubling. - -\subsection{Division by Two} -A division by two can just as easily be accomplished with a logical shift right as multiplication by two can be with a logical shift left. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_div\_2}. \\ -\textbf{Input}. One mp\_int $a$ \\ -\textbf{Output}. $b = a/2$. \\ -\hline \\ -1. If $b.alloc < a.used$ then grow $b$ to hold $a.used$ digits. (\textit{mp\_grow}) \\ -2. If the reallocation failed return(\textit{MP\_MEM}). \\ -3. $oldused \leftarrow b.used$ \\ -4. $b.used \leftarrow a.used$ \\ -5. $r \leftarrow 0$ \\ -6. for $n$ from $b.used - 1$ to $0$ do \\ -\hspace{3mm}6.1 $rr \leftarrow a_n \mbox{ (mod }2\mbox{)}$\\ -\hspace{3mm}6.2 $b_n \leftarrow (a_n >> 1) + (r << (lg(\beta) - 1)) \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{3mm}6.3 $r \leftarrow rr$ \\ -7. If $b.used < oldused - 1$ then do \\ -\hspace{3mm}7.1 for $n$ from $b.used$ to $oldused - 1$ do \\ -\hspace{6mm}7.1.1 $b_n \leftarrow 0$ \\ -8. $b.sign \leftarrow a.sign$ \\ -9. Clamp excess digits of $b$. (\textit{mp\_clamp}) \\ -10. Return(\textit{MP\_OKAY}).\\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_div\_2} -\end{figure} - -\textbf{Algorithm mp\_div\_2.} -This algorithm will divide an mp\_int by two using logical shifts to the right. Like mp\_mul\_2 it uses a modified low level addition -core as the basis of the algorithm. Unlike mp\_mul\_2 the shift operations work from the leading digit to the trailing digit. The algorithm -could be written to work from the trailing digit to the leading digit however, it would have to stop one short of $a.used - 1$ digits to prevent -reading past the end of the array of digits. - -Essentially the loop at step 6 is similar to that of mp\_mul\_2 except the logical shifts go in the opposite direction and the carry is at the -least significant bit not the most significant bit. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_div\_2.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\section{Polynomial Basis Operations} -Recall from section 4.3 that any integer can be represented as a polynomial in $x$ as $y = f(\beta)$. Such a representation is also known as -the polynomial basis \cite[pp. 48]{ROSE}. Given such a notation a multiplication or division by $x$ amounts to shifting whole digits a single -place. The need for such operations arises in several other higher level algorithms such as Barrett and Montgomery reduction, integer -division and Karatsuba multiplication. - -Converting from an array of digits to polynomial basis is very simple. Consider the integer $y \equiv (a_2, a_1, a_0)_{\beta}$ and recall that -$y = \sum_{i=0}^{2} a_i \beta^i$. Simply replace $\beta$ with $x$ and the expression is in polynomial basis. For example, $f(x) = 8x + 9$ is the -polynomial basis representation for $89$ using radix ten. That is, $f(10) = 8(10) + 9 = 89$. - -\subsection{Multiplication by $x$} - -Given a polynomial in $x$ such as $f(x) = a_n x^n + a_{n-1} x^{n-1} + ... + a_0$ multiplying by $x$ amounts to shifting the coefficients up one -degree. In this case $f(x) \cdot x = a_n x^{n+1} + a_{n-1} x^n + ... + a_0 x$. From a scalar basis point of view multiplying by $x$ is equivalent to -multiplying by the integer $\beta$. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_lshd}. \\ -\textbf{Input}. One mp\_int $a$ and an integer $b$ \\ -\textbf{Output}. $a \leftarrow a \cdot \beta^b$ (equivalent to multiplication by $x^b$). \\ -\hline \\ -1. If $b \le 0$ then return(\textit{MP\_OKAY}). \\ -2. If $a.alloc < a.used + b$ then grow $a$ to at least $a.used + b$ digits. (\textit{mp\_grow}). \\ -3. If the reallocation failed return(\textit{MP\_MEM}). \\ -4. $a.used \leftarrow a.used + b$ \\ -5. $i \leftarrow a.used - 1$ \\ -6. $j \leftarrow a.used - 1 - b$ \\ -7. for $n$ from $a.used - 1$ to $b$ do \\ -\hspace{3mm}7.1 $a_{i} \leftarrow a_{j}$ \\ -\hspace{3mm}7.2 $i \leftarrow i - 1$ \\ -\hspace{3mm}7.3 $j \leftarrow j - 1$ \\ -8. for $n$ from 0 to $b - 1$ do \\ -\hspace{3mm}8.1 $a_n \leftarrow 0$ \\ -9. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_lshd} -\end{figure} - -\textbf{Algorithm mp\_lshd.} -This algorithm multiplies an mp\_int by the $b$'th power of $x$. This is equivalent to multiplying by $\beta^b$. The algorithm differs -from the other algorithms presented so far as it performs the operation in place instead storing the result in a separate location. The -motivation behind this change is due to the way this function is typically used. Algorithms such as mp\_add store the result in an optionally -different third mp\_int because the original inputs are often still required. Algorithm mp\_lshd (\textit{and similarly algorithm mp\_rshd}) is -typically used on values where the original value is no longer required. The algorithm will return success immediately if -$b \le 0$ since the rest of algorithm is only valid when $b > 0$. - -First the destination $a$ is grown as required to accomodate the result. The counters $i$ and $j$ are used to form a \textit{sliding window} over -the digits of $a$ of length $b$. The head of the sliding window is at $i$ (\textit{the leading digit}) and the tail at $j$ (\textit{the trailing digit}). -The loop on step 7 copies the digit from the tail to the head. In each iteration the window is moved down one digit. The last loop on -step 8 sets the lower $b$ digits to zero. - -\newpage -\begin{center} -\begin{figure}[here] -\includegraphics{pics/sliding_window.ps} -\caption{Sliding Window Movement} -\label{pic:sliding_window} -\end{figure} -\end{center} - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_lshd.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The if statement (line 24) ensures that the $b$ variable is greater than zero since we do not interpret negative -shift counts properly. The \textbf{used} count is incremented by $b$ before the copy loop begins. This elminates -the need for an additional variable in the for loop. The variable $top$ (line 42) is an alias -for the leading digit while $bottom$ (line 45) is an alias for the trailing edge. The aliases form a -window of exactly $b$ digits over the input. - -\subsection{Division by $x$} - -Division by powers of $x$ is easily achieved by shifting the digits right and removing any that will end up to the right of the zero'th digit. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_rshd}. \\ -\textbf{Input}. One mp\_int $a$ and an integer $b$ \\ -\textbf{Output}. $a \leftarrow a / \beta^b$ (Divide by $x^b$). \\ -\hline \\ -1. If $b \le 0$ then return. \\ -2. If $a.used \le b$ then do \\ -\hspace{3mm}2.1 Zero $a$. (\textit{mp\_zero}). \\ -\hspace{3mm}2.2 Return. \\ -3. $i \leftarrow 0$ \\ -4. $j \leftarrow b$ \\ -5. for $n$ from 0 to $a.used - b - 1$ do \\ -\hspace{3mm}5.1 $a_i \leftarrow a_j$ \\ -\hspace{3mm}5.2 $i \leftarrow i + 1$ \\ -\hspace{3mm}5.3 $j \leftarrow j + 1$ \\ -6. for $n$ from $a.used - b$ to $a.used - 1$ do \\ -\hspace{3mm}6.1 $a_n \leftarrow 0$ \\ -7. $a.used \leftarrow a.used - b$ \\ -8. Return. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_rshd} -\end{figure} - -\textbf{Algorithm mp\_rshd.} -This algorithm divides the input in place by the $b$'th power of $x$. It is analogous to dividing by a $\beta^b$ but much quicker since -it does not require single precision division. This algorithm does not actually return an error code as it cannot fail. - -If the input $b$ is less than one the algorithm quickly returns without performing any work. If the \textbf{used} count is less than or equal -to the shift count $b$ then it will simply zero the input and return. - -After the trivial cases of inputs have been handled the sliding window is setup. Much like the case of algorithm mp\_lshd a sliding window that -is $b$ digits wide is used to copy the digits. Unlike mp\_lshd the window slides in the opposite direction from the trailing to the leading digit. -Also the digits are copied from the leading to the trailing edge. - -Once the window copy is complete the upper digits must be zeroed and the \textbf{used} count decremented. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_rshd.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The only noteworthy element of this routine is the lack of a return type since it cannot fail. Like mp\_lshd() we -form a sliding window except we copy in the other direction. After the window (line 60) we then zero -the upper digits of the input to make sure the result is correct. - -\section{Powers of Two} - -Now that algorithms for moving single bits as well as whole digits exist algorithms for moving the ``in between'' distances are required. For -example, to quickly multiply by $2^k$ for any $k$ without using a full multiplier algorithm would prove useful. Instead of performing single -shifts $k$ times to achieve a multiplication by $2^{\pm k}$ a mixture of whole digit shifting and partial digit shifting is employed. - -\subsection{Multiplication by Power of Two} - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_mul\_2d}. \\ -\textbf{Input}. One mp\_int $a$ and an integer $b$ \\ -\textbf{Output}. $c \leftarrow a \cdot 2^b$. \\ -\hline \\ -1. $c \leftarrow a$. (\textit{mp\_copy}) \\ -2. If $c.alloc < c.used + \lfloor b / lg(\beta) \rfloor + 2$ then grow $c$ accordingly. \\ -3. If the reallocation failed return(\textit{MP\_MEM}). \\ -4. If $b \ge lg(\beta)$ then \\ -\hspace{3mm}4.1 $c \leftarrow c \cdot \beta^{\lfloor b / lg(\beta) \rfloor}$ (\textit{mp\_lshd}). \\ -\hspace{3mm}4.2 If step 4.1 failed return(\textit{MP\_MEM}). \\ -5. $d \leftarrow b \mbox{ (mod }lg(\beta)\mbox{)}$ \\ -6. If $d \ne 0$ then do \\ -\hspace{3mm}6.1 $mask \leftarrow 2^d$ \\ -\hspace{3mm}6.2 $r \leftarrow 0$ \\ -\hspace{3mm}6.3 for $n$ from $0$ to $c.used - 1$ do \\ -\hspace{6mm}6.3.1 $rr \leftarrow c_n >> (lg(\beta) - d) \mbox{ (mod }mask\mbox{)}$ \\ -\hspace{6mm}6.3.2 $c_n \leftarrow (c_n << d) + r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{6mm}6.3.3 $r \leftarrow rr$ \\ -\hspace{3mm}6.4 If $r > 0$ then do \\ -\hspace{6mm}6.4.1 $c_{c.used} \leftarrow r$ \\ -\hspace{6mm}6.4.2 $c.used \leftarrow c.used + 1$ \\ -7. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_mul\_2d} -\end{figure} - -\textbf{Algorithm mp\_mul\_2d.} -This algorithm multiplies $a$ by $2^b$ and stores the result in $c$. The algorithm uses algorithm mp\_lshd and a derivative of algorithm mp\_mul\_2 to -quickly compute the product. - -First the algorithm will multiply $a$ by $x^{\lfloor b / lg(\beta) \rfloor}$ which will ensure that the remainder multiplicand is less than -$\beta$. For example, if $b = 37$ and $\beta = 2^{28}$ then this step will multiply by $x$ leaving a multiplication by $2^{37 - 28} = 2^{9}$ -left. - -After the digits have been shifted appropriately at most $lg(\beta) - 1$ shifts are left to perform. Step 5 calculates the number of remaining shifts -required. If it is non-zero a modified shift loop is used to calculate the remaining product. -Essentially the loop is a generic version of algorithm mp\_mul\_2 designed to handle any shift count in the range $1 \le x < lg(\beta)$. The $mask$ -variable is used to extract the upper $d$ bits to form the carry for the next iteration. - -This algorithm is loosely measured as a $O(2n)$ algorithm which means that if the input is $n$-digits that it takes $2n$ ``time'' to -complete. It is possible to optimize this algorithm down to a $O(n)$ algorithm at a cost of making the algorithm slightly harder to follow. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_mul\_2d.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The shifting is performed in--place which means the first step (line 25) is to copy the input to the -destination. We avoid calling mp\_copy() by making sure the mp\_ints are different. The destination then -has to be grown (line 32) to accomodate the result. - -If the shift count $b$ is larger than $lg(\beta)$ then a call to mp\_lshd() is used to handle all of the multiples -of $lg(\beta)$. Leaving only a remaining shift of $lg(\beta) - 1$ or fewer bits left. Inside the actual shift -loop (lines 46 to 76) we make use of pre--computed values $shift$ and $mask$. These are used to -extract the carry bit(s) to pass into the next iteration of the loop. The $r$ and $rr$ variables form a -chain between consecutive iterations to propagate the carry. - -\subsection{Division by Power of Two} - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_div\_2d}. \\ -\textbf{Input}. One mp\_int $a$ and an integer $b$ \\ -\textbf{Output}. $c \leftarrow \lfloor a / 2^b \rfloor, d \leftarrow a \mbox{ (mod }2^b\mbox{)}$. \\ -\hline \\ -1. If $b \le 0$ then do \\ -\hspace{3mm}1.1 $c \leftarrow a$ (\textit{mp\_copy}) \\ -\hspace{3mm}1.2 $d \leftarrow 0$ (\textit{mp\_zero}) \\ -\hspace{3mm}1.3 Return(\textit{MP\_OKAY}). \\ -2. $c \leftarrow a$ \\ -3. $d \leftarrow a \mbox{ (mod }2^b\mbox{)}$ (\textit{mp\_mod\_2d}) \\ -4. If $b \ge lg(\beta)$ then do \\ -\hspace{3mm}4.1 $c \leftarrow \lfloor c/\beta^{\lfloor b/lg(\beta) \rfloor} \rfloor$ (\textit{mp\_rshd}). \\ -5. $k \leftarrow b \mbox{ (mod }lg(\beta)\mbox{)}$ \\ -6. If $k \ne 0$ then do \\ -\hspace{3mm}6.1 $mask \leftarrow 2^k$ \\ -\hspace{3mm}6.2 $r \leftarrow 0$ \\ -\hspace{3mm}6.3 for $n$ from $c.used - 1$ to $0$ do \\ -\hspace{6mm}6.3.1 $rr \leftarrow c_n \mbox{ (mod }mask\mbox{)}$ \\ -\hspace{6mm}6.3.2 $c_n \leftarrow (c_n >> k) + (r << (lg(\beta) - k))$ \\ -\hspace{6mm}6.3.3 $r \leftarrow rr$ \\ -7. Clamp excess digits of $c$. (\textit{mp\_clamp}) \\ -8. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_div\_2d} -\end{figure} - -\textbf{Algorithm mp\_div\_2d.} -This algorithm will divide an input $a$ by $2^b$ and produce the quotient and remainder. The algorithm is designed much like algorithm -mp\_mul\_2d by first using whole digit shifts then single precision shifts. This algorithm will also produce the remainder of the division -by using algorithm mp\_mod\_2d. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_div\_2d.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The implementation of algorithm mp\_div\_2d is slightly different than the algorithm specifies. The remainder $d$ may be optionally -ignored by passing \textbf{NULL} as the pointer to the mp\_int variable. The temporary mp\_int variable $t$ is used to hold the -result of the remainder operation until the end. This allows $d$ and $a$ to represent the same mp\_int without modifying $a$ before -the quotient is obtained. - -The remainder of the source code is essentially the same as the source code for mp\_mul\_2d. The only significant difference is -the direction of the shifts. - -\subsection{Remainder of Division by Power of Two} - -The last algorithm in the series of polynomial basis power of two algorithms is calculating the remainder of division by $2^b$. This -algorithm benefits from the fact that in twos complement arithmetic $a \mbox{ (mod }2^b\mbox{)}$ is the same as $a$ AND $2^b - 1$. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_mod\_2d}. \\ -\textbf{Input}. One mp\_int $a$ and an integer $b$ \\ -\textbf{Output}. $c \leftarrow a \mbox{ (mod }2^b\mbox{)}$. \\ -\hline \\ -1. If $b \le 0$ then do \\ -\hspace{3mm}1.1 $c \leftarrow 0$ (\textit{mp\_zero}) \\ -\hspace{3mm}1.2 Return(\textit{MP\_OKAY}). \\ -2. If $b > a.used \cdot lg(\beta)$ then do \\ -\hspace{3mm}2.1 $c \leftarrow a$ (\textit{mp\_copy}) \\ -\hspace{3mm}2.2 Return the result of step 2.1. \\ -3. $c \leftarrow a$ \\ -4. If step 3 failed return(\textit{MP\_MEM}). \\ -5. for $n$ from $\lceil b / lg(\beta) \rceil$ to $c.used$ do \\ -\hspace{3mm}5.1 $c_n \leftarrow 0$ \\ -6. $k \leftarrow b \mbox{ (mod }lg(\beta)\mbox{)}$ \\ -7. $c_{\lfloor b / lg(\beta) \rfloor} \leftarrow c_{\lfloor b / lg(\beta) \rfloor} \mbox{ (mod }2^{k}\mbox{)}$. \\ -8. Clamp excess digits of $c$. (\textit{mp\_clamp}) \\ -9. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_mod\_2d} -\end{figure} - -\textbf{Algorithm mp\_mod\_2d.} -This algorithm will quickly calculate the value of $a \mbox{ (mod }2^b\mbox{)}$. First if $b$ is less than or equal to zero the -result is set to zero. If $b$ is greater than the number of bits in $a$ then it simply copies $a$ to $c$ and returns. Otherwise, $a$ -is copied to $b$, leading digits are removed and the remaining leading digit is trimed to the exact bit count. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_mod\_2d.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -We first avoid cases of $b \le 0$ by simply mp\_zero()'ing the destination in such cases. Next if $2^b$ is larger -than the input we just mp\_copy() the input and return right away. After this point we know we must actually -perform some work to produce the remainder. - -Recalling that reducing modulo $2^k$ and a binary ``and'' with $2^k - 1$ are numerically equivalent we can quickly reduce -the number. First we zero any digits above the last digit in $2^b$ (line 42). Next we reduce the -leading digit of both (line 46) and then mp\_clamp(). - -\section*{Exercises} -\begin{tabular}{cl} -$\left [ 3 \right ] $ & Devise an algorithm that performs $a \cdot 2^b$ for generic values of $b$ \\ - & in $O(n)$ time. \\ - &\\ -$\left [ 3 \right ] $ & Devise an efficient algorithm to multiply by small low hamming \\ - & weight values such as $3$, $5$ and $9$. Extend it to handle all values \\ - & upto $64$ with a hamming weight less than three. \\ - &\\ -$\left [ 2 \right ] $ & Modify the preceding algorithm to handle values of the form \\ - & $2^k - 1$ as well. \\ - &\\ -$\left [ 3 \right ] $ & Using only algorithms mp\_mul\_2, mp\_div\_2 and mp\_add create an \\ - & algorithm to multiply two integers in roughly $O(2n^2)$ time for \\ - & any $n$-bit input. Note that the time of addition is ignored in the \\ - & calculation. \\ - & \\ -$\left [ 5 \right ] $ & Improve the previous algorithm to have a working time of at most \\ - & $O \left (2^{(k-1)}n + \left ({2n^2 \over k} \right ) \right )$ for an appropriate choice of $k$. Again ignore \\ - & the cost of addition. \\ - & \\ -$\left [ 2 \right ] $ & Devise a chart to find optimal values of $k$ for the previous problem \\ - & for $n = 64 \ldots 1024$ in steps of $64$. \\ - & \\ -$\left [ 2 \right ] $ & Using only algorithms mp\_abs and mp\_sub devise another method for \\ - & calculating the result of a signed comparison. \\ - & -\end{tabular} - -\chapter{Multiplication and Squaring} -\section{The Multipliers} -For most number theoretic problems including certain public key cryptographic algorithms, the ``multipliers'' form the most important subset of -algorithms of any multiple precision integer package. The set of multiplier algorithms include integer multiplication, squaring and modular reduction -where in each of the algorithms single precision multiplication is the dominant operation performed. This chapter will discuss integer multiplication -and squaring, leaving modular reductions for the subsequent chapter. - -The importance of the multiplier algorithms is for the most part driven by the fact that certain popular public key algorithms are based on modular -exponentiation, that is computing $d \equiv a^b \mbox{ (mod }c\mbox{)}$ for some arbitrary choice of $a$, $b$, $c$ and $d$. During a modular -exponentiation the majority\footnote{Roughly speaking a modular exponentiation will spend about 40\% of the time performing modular reductions, -35\% of the time performing squaring and 25\% of the time performing multiplications.} of the processor time is spent performing single precision -multiplications. - -For centuries general purpose multiplication has required a lengthly $O(n^2)$ process, whereby each digit of one multiplicand has to be multiplied -against every digit of the other multiplicand. Traditional long-hand multiplication is based on this process; while the techniques can differ the -overall algorithm used is essentially the same. Only ``recently'' have faster algorithms been studied. First Karatsuba multiplication was discovered in -1962. This algorithm can multiply two numbers with considerably fewer single precision multiplications when compared to the long-hand approach. -This technique led to the discovery of polynomial basis algorithms (\textit{good reference?}) and subquently Fourier Transform based solutions. - -\section{Multiplication} -\subsection{The Baseline Multiplication} -\label{sec:basemult} -\index{baseline multiplication} -Computing the product of two integers in software can be achieved using a trivial adaptation of the standard $O(n^2)$ long-hand multiplication -algorithm that school children are taught. The algorithm is considered an $O(n^2)$ algorithm since for two $n$-digit inputs $n^2$ single precision -multiplications are required. More specifically for a $m$ and $n$ digit input $m \cdot n$ single precision multiplications are required. To -simplify most discussions, it will be assumed that the inputs have comparable number of digits. - -The ``baseline multiplication'' algorithm is designed to act as the ``catch-all'' algorithm, only to be used when the faster algorithms cannot be -used. This algorithm does not use any particularly interesting optimizations and should ideally be avoided if possible. One important -facet of this algorithm, is that it has been modified to only produce a certain amount of output digits as resolution. The importance of this -modification will become evident during the discussion of Barrett modular reduction. Recall that for a $n$ and $m$ digit input the product -will be at most $n + m$ digits. Therefore, this algorithm can be reduced to a full multiplier by having it produce $n + m$ digits of the product. - -Recall from sub-section 4.2.2 the definition of $\gamma$ as the number of bits in the type \textbf{mp\_digit}. We shall now extend the variable set to -include $\alpha$ which shall represent the number of bits in the type \textbf{mp\_word}. This implies that $2^{\alpha} > 2 \cdot \beta^2$. The -constant $\delta = 2^{\alpha - 2lg(\beta)}$ will represent the maximal weight of any column in a product (\textit{see sub-section 5.2.2 for more information}). - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{s\_mp\_mul\_digs}. \\ -\textbf{Input}. mp\_int $a$, mp\_int $b$ and an integer $digs$ \\ -\textbf{Output}. $c \leftarrow \vert a \vert \cdot \vert b \vert \mbox{ (mod }\beta^{digs}\mbox{)}$. \\ -\hline \\ -1. If min$(a.used, b.used) < \delta$ then do \\ -\hspace{3mm}1.1 Calculate $c = \vert a \vert \cdot \vert b \vert$ by the Comba method (\textit{see algorithm~\ref{fig:COMBAMULT}}). \\ -\hspace{3mm}1.2 Return the result of step 1.1 \\ -\\ -Allocate and initialize a temporary mp\_int. \\ -2. Init $t$ to be of size $digs$ \\ -3. If step 2 failed return(\textit{MP\_MEM}). \\ -4. $t.used \leftarrow digs$ \\ -\\ -Compute the product. \\ -5. for $ix$ from $0$ to $a.used - 1$ do \\ -\hspace{3mm}5.1 $u \leftarrow 0$ \\ -\hspace{3mm}5.2 $pb \leftarrow \mbox{min}(b.used, digs - ix)$ \\ -\hspace{3mm}5.3 If $pb < 1$ then goto step 6. \\ -\hspace{3mm}5.4 for $iy$ from $0$ to $pb - 1$ do \\ -\hspace{6mm}5.4.1 $\hat r \leftarrow t_{iy + ix} + a_{ix} \cdot b_{iy} + u$ \\ -\hspace{6mm}5.4.2 $t_{iy + ix} \leftarrow \hat r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{6mm}5.4.3 $u \leftarrow \lfloor \hat r / \beta \rfloor$ \\ -\hspace{3mm}5.5 if $ix + pb < digs$ then do \\ -\hspace{6mm}5.5.1 $t_{ix + pb} \leftarrow u$ \\ -6. Clamp excess digits of $t$. \\ -7. Swap $c$ with $t$ \\ -8. Clear $t$ \\ -9. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm s\_mp\_mul\_digs} -\end{figure} - -\textbf{Algorithm s\_mp\_mul\_digs.} -This algorithm computes the unsigned product of two inputs $a$ and $b$, limited to an output precision of $digs$ digits. While it may seem -a bit awkward to modify the function from its simple $O(n^2)$ description, the usefulness of partial multipliers will arise in a subsequent -algorithm. The algorithm is loosely based on algorithm 14.12 from \cite[pp. 595]{HAC} and is similar to Algorithm M of Knuth \cite[pp. 268]{TAOCPV2}. -Algorithm s\_mp\_mul\_digs differs from these cited references since it can produce a variable output precision regardless of the precision of the -inputs. - -The first thing this algorithm checks for is whether a Comba multiplier can be used instead. If the minimum digit count of either -input is less than $\delta$, then the Comba method may be used instead. After the Comba method is ruled out, the baseline algorithm begins. A -temporary mp\_int variable $t$ is used to hold the intermediate result of the product. This allows the algorithm to be used to -compute products when either $a = c$ or $b = c$ without overwriting the inputs. - -All of step 5 is the infamous $O(n^2)$ multiplication loop slightly modified to only produce upto $digs$ digits of output. The $pb$ variable -is given the count of digits to read from $b$ inside the nested loop. If $pb \le 1$ then no more output digits can be produced and the algorithm -will exit the loop. The best way to think of the loops are as a series of $pb \times 1$ multiplications. That is, in each pass of the -innermost loop $a_{ix}$ is multiplied against $b$ and the result is added (\textit{with an appropriate shift}) to $t$. - -For example, consider multiplying $576$ by $241$. That is equivalent to computing $10^0(1)(576) + 10^1(4)(576) + 10^2(2)(576)$ which is best -visualized in the following table. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{|c|c|c|c|c|c|l|} -\hline && & 5 & 7 & 6 & \\ -\hline $\times$&& & 2 & 4 & 1 & \\ -\hline &&&&&&\\ - && & 5 & 7 & 6 & $10^0(1)(576)$ \\ - &2 & 3 & 6 & 1 & 6 & $10^1(4)(576) + 10^0(1)(576)$ \\ - 1 & 3 & 8 & 8 & 1 & 6 & $10^2(2)(576) + 10^1(4)(576) + 10^0(1)(576)$ \\ -\hline -\end{tabular} -\end{center} -\caption{Long-Hand Multiplication Diagram} -\end{figure} - -Each row of the product is added to the result after being shifted to the left (\textit{multiplied by a power of the radix}) by the appropriate -count. That is in pass $ix$ of the inner loop the product is added starting at the $ix$'th digit of the reult. - -Step 5.4.1 introduces the hat symbol (\textit{e.g. $\hat r$}) which represents a double precision variable. The multiplication on that step -is assumed to be a double wide output single precision multiplication. That is, two single precision variables are multiplied to produce a -double precision result. The step is somewhat optimized from a long-hand multiplication algorithm because the carry from the addition in step -5.4.1 is propagated through the nested loop. If the carry was not propagated immediately it would overflow the single precision digit -$t_{ix+iy}$ and the result would be lost. - -At step 5.5 the nested loop is finished and any carry that was left over should be forwarded. The carry does not have to be added to the $ix+pb$'th -digit since that digit is assumed to be zero at this point. However, if $ix + pb \ge digs$ the carry is not set as it would make the result -exceed the precision requested. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_s\_mp\_mul\_digs.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -First we determine (line 31) if the Comba method can be used first since it's faster. The conditions for -sing the Comba routine are that min$(a.used, b.used) < \delta$ and the number of digits of output is less than -\textbf{MP\_WARRAY}. This new constant is used to control the stack usage in the Comba routines. By default it is -set to $\delta$ but can be reduced when memory is at a premium. - -If we cannot use the Comba method we proceed to setup the baseline routine. We allocate the the destination mp\_int -$t$ (line 37) to the exact size of the output to avoid further re--allocations. At this point we now -begin the $O(n^2)$ loop. - -This implementation of multiplication has the caveat that it can be trimmed to only produce a variable number of -digits as output. In each iteration of the outer loop the $pb$ variable is set (line 49) to the maximum -number of inner loop iterations. - -Inside the inner loop we calculate $\hat r$ as the mp\_word product of the two mp\_digits and the addition of the -carry from the previous iteration. A particularly important observation is that most modern optimizing -C compilers (GCC for instance) can recognize that a $N \times N \rightarrow 2N$ multiplication is all that -is required for the product. In x86 terms for example, this means using the MUL instruction. - -Each digit of the product is stored in turn (line 69) and the carry propagated (line 72) to the -next iteration. - -\subsection{Faster Multiplication by the ``Comba'' Method} - -One of the huge drawbacks of the ``baseline'' algorithms is that at the $O(n^2)$ level the carry must be -computed and propagated upwards. This makes the nested loop very sequential and hard to unroll and implement -in parallel. The ``Comba'' \cite{COMBA} method is named after little known (\textit{in cryptographic venues}) Paul G. -Comba who described a method of implementing fast multipliers that do not require nested carry fixup operations. As an -interesting aside it seems that Paul Barrett describes a similar technique in his 1986 paper \cite{BARRETT} written -five years before. - -At the heart of the Comba technique is once again the long-hand algorithm. Except in this case a slight -twist is placed on how the columns of the result are produced. In the standard long-hand algorithm rows of products -are produced then added together to form the final result. In the baseline algorithm the columns are added together -after each iteration to get the result instantaneously. - -In the Comba algorithm the columns of the result are produced entirely independently of each other. That is at -the $O(n^2)$ level a simple multiplication and addition step is performed. The carries of the columns are propagated -after the nested loop to reduce the amount of work requiored. Succintly the first step of the algorithm is to compute -the product vector $\vec x$ as follows. - -\begin{equation} -\vec x_n = \sum_{i+j = n} a_ib_j, \forall n \in \lbrace 0, 1, 2, \ldots, i + j \rbrace -\end{equation} - -Where $\vec x_n$ is the $n'th$ column of the output vector. Consider the following example which computes the vector $\vec x$ for the multiplication -of $576$ and $241$. - -\newpage\begin{figure}[here] -\begin{small} -\begin{center} -\begin{tabular}{|c|c|c|c|c|c|} - \hline & & 5 & 7 & 6 & First Input\\ - \hline $\times$ & & 2 & 4 & 1 & Second Input\\ -\hline & & $1 \cdot 5 = 5$ & $1 \cdot 7 = 7$ & $1 \cdot 6 = 6$ & First pass \\ - & $4 \cdot 5 = 20$ & $4 \cdot 7+5=33$ & $4 \cdot 6+7=31$ & 6 & Second pass \\ - $2 \cdot 5 = 10$ & $2 \cdot 7 + 20 = 34$ & $2 \cdot 6+33=45$ & 31 & 6 & Third pass \\ -\hline 10 & 34 & 45 & 31 & 6 & Final Result \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Comba Multiplication Diagram} -\end{figure} - -At this point the vector $x = \left < 10, 34, 45, 31, 6 \right >$ is the result of the first step of the Comba multipler. -Now the columns must be fixed by propagating the carry upwards. The resultant vector will have one extra dimension over the input vector which is -congruent to adding a leading zero digit. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Comba Fixup}. \\ -\textbf{Input}. Vector $\vec x$ of dimension $k$ \\ -\textbf{Output}. Vector $\vec x$ such that the carries have been propagated. \\ -\hline \\ -1. for $n$ from $0$ to $k - 1$ do \\ -\hspace{3mm}1.1 $\vec x_{n+1} \leftarrow \vec x_{n+1} + \lfloor \vec x_{n}/\beta \rfloor$ \\ -\hspace{3mm}1.2 $\vec x_{n} \leftarrow \vec x_{n} \mbox{ (mod }\beta\mbox{)}$ \\ -2. Return($\vec x$). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Comba Fixup} -\end{figure} - -With that algorithm and $k = 5$ and $\beta = 10$ the following vector is produced $\vec x= \left < 1, 3, 8, 8, 1, 6 \right >$. In this case -$241 \cdot 576$ is in fact $138816$ and the procedure succeeded. If the algorithm is correct and as will be demonstrated shortly more -efficient than the baseline algorithm why not simply always use this algorithm? - -\subsubsection{Column Weight.} -At the nested $O(n^2)$ level the Comba method adds the product of two single precision variables to each column of the output -independently. A serious obstacle is if the carry is lost, due to lack of precision before the algorithm has a chance to fix -the carries. For example, in the multiplication of two three-digit numbers the third column of output will be the sum of -three single precision multiplications. If the precision of the accumulator for the output digits is less then $3 \cdot (\beta - 1)^2$ then -an overflow can occur and the carry information will be lost. For any $m$ and $n$ digit inputs the maximum weight of any column is -min$(m, n)$ which is fairly obvious. - -The maximum number of terms in any column of a product is known as the ``column weight'' and strictly governs when the algorithm can be used. Recall -from earlier that a double precision type has $\alpha$ bits of resolution and a single precision digit has $lg(\beta)$ bits of precision. Given these -two quantities we must not violate the following - -\begin{equation} -k \cdot \left (\beta - 1 \right )^2 < 2^{\alpha} -\end{equation} - -Which reduces to - -\begin{equation} -k \cdot \left ( \beta^2 - 2\beta + 1 \right ) < 2^{\alpha} -\end{equation} - -Let $\rho = lg(\beta)$ represent the number of bits in a single precision digit. By further re-arrangement of the equation the final solution is -found. - -\begin{equation} -k < {{2^{\alpha}} \over {\left (2^{2\rho} - 2^{\rho + 1} + 1 \right )}} -\end{equation} - -The defaults for LibTomMath are $\beta = 2^{28}$ and $\alpha = 2^{64}$ which means that $k$ is bounded by $k < 257$. In this configuration -the smaller input may not have more than $256$ digits if the Comba method is to be used. This is quite satisfactory for most applications since -$256$ digits would allow for numbers in the range of $0 \le x < 2^{7168}$ which, is much larger than most public key cryptographic algorithms require. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{fast\_s\_mp\_mul\_digs}. \\ -\textbf{Input}. mp\_int $a$, mp\_int $b$ and an integer $digs$ \\ -\textbf{Output}. $c \leftarrow \vert a \vert \cdot \vert b \vert \mbox{ (mod }\beta^{digs}\mbox{)}$. \\ -\hline \\ -Place an array of \textbf{MP\_WARRAY} single precision digits named $W$ on the stack. \\ -1. If $c.alloc < digs$ then grow $c$ to $digs$ digits. (\textit{mp\_grow}) \\ -2. If step 1 failed return(\textit{MP\_MEM}).\\ -\\ -3. $pa \leftarrow \mbox{MIN}(digs, a.used + b.used)$ \\ -\\ -4. $\_ \hat W \leftarrow 0$ \\ -5. for $ix$ from 0 to $pa - 1$ do \\ -\hspace{3mm}5.1 $ty \leftarrow \mbox{MIN}(b.used - 1, ix)$ \\ -\hspace{3mm}5.2 $tx \leftarrow ix - ty$ \\ -\hspace{3mm}5.3 $iy \leftarrow \mbox{MIN}(a.used - tx, ty + 1)$ \\ -\hspace{3mm}5.4 for $iz$ from 0 to $iy - 1$ do \\ -\hspace{6mm}5.4.1 $\_ \hat W \leftarrow \_ \hat W + a_{tx+iy}b_{ty-iy}$ \\ -\hspace{3mm}5.5 $W_{ix} \leftarrow \_ \hat W (\mbox{mod }\beta)$\\ -\hspace{3mm}5.6 $\_ \hat W \leftarrow \lfloor \_ \hat W / \beta \rfloor$ \\ -\\ -6. $oldused \leftarrow c.used$ \\ -7. $c.used \leftarrow digs$ \\ -8. for $ix$ from $0$ to $pa$ do \\ -\hspace{3mm}8.1 $c_{ix} \leftarrow W_{ix}$ \\ -9. for $ix$ from $pa + 1$ to $oldused - 1$ do \\ -\hspace{3mm}9.1 $c_{ix} \leftarrow 0$ \\ -\\ -10. Clamp $c$. \\ -11. Return MP\_OKAY. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm fast\_s\_mp\_mul\_digs} -\label{fig:COMBAMULT} -\end{figure} - -\textbf{Algorithm fast\_s\_mp\_mul\_digs.} -This algorithm performs the unsigned multiplication of $a$ and $b$ using the Comba method limited to $digs$ digits of precision. - -The outer loop of this algorithm is more complicated than that of the baseline multiplier. This is because on the inside of the -loop we want to produce one column per pass. This allows the accumulator $\_ \hat W$ to be placed in CPU registers and -reduce the memory bandwidth to two \textbf{mp\_digit} reads per iteration. - -The $ty$ variable is set to the minimum count of $ix$ or the number of digits in $b$. That way if $a$ has more digits than -$b$ this will be limited to $b.used - 1$. The $tx$ variable is set to the to the distance past $b.used$ the variable -$ix$ is. This is used for the immediately subsequent statement where we find $iy$. - -The variable $iy$ is the minimum digits we can read from either $a$ or $b$ before running out. Computing one column at a time -means we have to scan one integer upwards and the other downwards. $a$ starts at $tx$ and $b$ starts at $ty$. In each -pass we are producing the $ix$'th output column and we note that $tx + ty = ix$. As we move $tx$ upwards we have to -move $ty$ downards so the equality remains valid. The $iy$ variable is the number of iterations until -$tx \ge a.used$ or $ty < 0$ occurs. - -After every inner pass we store the lower half of the accumulator into $W_{ix}$ and then propagate the carry of the accumulator -into the next round by dividing $\_ \hat W$ by $\beta$. - -To measure the benefits of the Comba method over the baseline method consider the number of operations that are required. If the -cost in terms of time of a multiply and addition is $p$ and the cost of a carry propagation is $q$ then a baseline multiplication would require -$O \left ((p + q)n^2 \right )$ time to multiply two $n$-digit numbers. The Comba method requires only $O(pn^2 + qn)$ time, however in practice, -the speed increase is actually much more. With $O(n)$ space the algorithm can be reduced to $O(pn + qn)$ time by implementing the $n$ multiply -and addition operations in the nested loop in parallel. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_fast\_s\_mp\_mul\_digs.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -As per the pseudo--code we first calculate $pa$ (line 48) as the number of digits to output. Next we begin the outer loop -to produce the individual columns of the product. We use the two aliases $tmpx$ and $tmpy$ (lines 62, 63) to point -inside the two multiplicands quickly. - -The inner loop (lines 71 to 74) of this implementation is where the tradeoff come into play. Originally this comba -implementation was ``row--major'' which means it adds to each of the columns in each pass. After the outer loop it would then fix -the carries. This was very fast except it had an annoying drawback. You had to read a mp\_word and two mp\_digits and write -one mp\_word per iteration. On processors such as the Athlon XP and P4 this did not matter much since the cache bandwidth -is very high and it can keep the ALU fed with data. It did, however, matter on older and embedded cpus where cache is often -slower and also often doesn't exist. This new algorithm only performs two reads per iteration under the assumption that the -compiler has aliased $\_ \hat W$ to a CPU register. - -After the inner loop we store the current accumulator in $W$ and shift $\_ \hat W$ (lines 77, 80) to forward it as -a carry for the next pass. After the outer loop we use the final carry (line 77) as the last digit of the product. - -\subsection{Polynomial Basis Multiplication} -To break the $O(n^2)$ barrier in multiplication requires a completely different look at integer multiplication. In the following algorithms -the use of polynomial basis representation for two integers $a$ and $b$ as $f(x) = \sum_{i=0}^{n} a_i x^i$ and -$g(x) = \sum_{i=0}^{n} b_i x^i$ respectively, is required. In this system both $f(x)$ and $g(x)$ have $n + 1$ terms and are of the $n$'th degree. - -The product $a \cdot b \equiv f(x)g(x)$ is the polynomial $W(x) = \sum_{i=0}^{2n} w_i x^i$. The coefficients $w_i$ will -directly yield the desired product when $\beta$ is substituted for $x$. The direct solution to solve for the $2n + 1$ coefficients -requires $O(n^2)$ time and would in practice be slower than the Comba technique. - -However, numerical analysis theory indicates that only $2n + 1$ distinct points in $W(x)$ are required to determine the values of the $2n + 1$ unknown -coefficients. This means by finding $\zeta_y = W(y)$ for $2n + 1$ small values of $y$ the coefficients of $W(x)$ can be found with -Gaussian elimination. This technique is also occasionally refered to as the \textit{interpolation technique} (\textit{references please...}) since in -effect an interpolation based on $2n + 1$ points will yield a polynomial equivalent to $W(x)$. - -The coefficients of the polynomial $W(x)$ are unknown which makes finding $W(y)$ for any value of $y$ impossible. However, since -$W(x) = f(x)g(x)$ the equivalent $\zeta_y = f(y) g(y)$ can be used in its place. The benefit of this technique stems from the -fact that $f(y)$ and $g(y)$ are much smaller than either $a$ or $b$ respectively. As a result finding the $2n + 1$ relations required -by multiplying $f(y)g(y)$ involves multiplying integers that are much smaller than either of the inputs. - -When picking points to gather relations there are always three obvious points to choose, $y = 0, 1$ and $ \infty$. The $\zeta_0$ term -is simply the product $W(0) = w_0 = a_0 \cdot b_0$. The $\zeta_1$ term is the product -$W(1) = \left (\sum_{i = 0}^{n} a_i \right ) \left (\sum_{i = 0}^{n} b_i \right )$. The third point $\zeta_{\infty}$ is less obvious but rather -simple to explain. The $2n + 1$'th coefficient of $W(x)$ is numerically equivalent to the most significant column in an integer multiplication. -The point at $\infty$ is used symbolically to represent the most significant column, that is $W(\infty) = w_{2n} = a_nb_n$. Note that the -points at $y = 0$ and $\infty$ yield the coefficients $w_0$ and $w_{2n}$ directly. - -If more points are required they should be of small values and powers of two such as $2^q$ and the related \textit{mirror points} -$\left (2^q \right )^{2n} \cdot \zeta_{2^{-q}}$ for small values of $q$. The term ``mirror point'' stems from the fact that -$\left (2^q \right )^{2n} \cdot \zeta_{2^{-q}}$ can be calculated in the exact opposite fashion as $\zeta_{2^q}$. For -example, when $n = 2$ and $q = 1$ then following two equations are equivalent to the point $\zeta_{2}$ and its mirror. - -\begin{eqnarray} -\zeta_{2} = f(2)g(2) = (4a_2 + 2a_1 + a_0)(4b_2 + 2b_1 + b_0) \nonumber \\ -16 \cdot \zeta_{1 \over 2} = 4f({1\over 2}) \cdot 4g({1 \over 2}) = (a_2 + 2a_1 + 4a_0)(b_2 + 2b_1 + 4b_0) -\end{eqnarray} - -Using such points will allow the values of $f(y)$ and $g(y)$ to be independently calculated using only left shifts. For example, when $n = 2$ the -polynomial $f(2^q)$ is equal to $2^q((2^qa_2) + a_1) + a_0$. This technique of polynomial representation is known as Horner's method. - -As a general rule of the algorithm when the inputs are split into $n$ parts each there are $2n - 1$ multiplications. Each multiplication is of -multiplicands that have $n$ times fewer digits than the inputs. The asymptotic running time of this algorithm is -$O \left ( k^{lg_n(2n - 1)} \right )$ for $k$ digit inputs (\textit{assuming they have the same number of digits}). Figure~\ref{fig:exponent} -summarizes the exponents for various values of $n$. - -\begin{figure} -\begin{center} -\begin{tabular}{|c|c|c|} -\hline \textbf{Split into $n$ Parts} & \textbf{Exponent} & \textbf{Notes}\\ -\hline $2$ & $1.584962501$ & This is Karatsuba Multiplication. \\ -\hline $3$ & $1.464973520$ & This is Toom-Cook Multiplication. \\ -\hline $4$ & $1.403677461$ &\\ -\hline $5$ & $1.365212389$ &\\ -\hline $10$ & $1.278753601$ &\\ -\hline $100$ & $1.149426538$ &\\ -\hline $1000$ & $1.100270931$ &\\ -\hline $10000$ & $1.075252070$ &\\ -\hline -\end{tabular} -\end{center} -\caption{Asymptotic Running Time of Polynomial Basis Multiplication} -\label{fig:exponent} -\end{figure} - -At first it may seem like a good idea to choose $n = 1000$ since the exponent is approximately $1.1$. However, the overhead -of solving for the 2001 terms of $W(x)$ will certainly consume any savings the algorithm could offer for all but exceedingly large -numbers. - -\subsubsection{Cutoff Point} -The polynomial basis multiplication algorithms all require fewer single precision multiplications than a straight Comba approach. However, -the algorithms incur an overhead (\textit{at the $O(n)$ work level}) since they require a system of equations to be solved. This makes the -polynomial basis approach more costly to use with small inputs. - -Let $m$ represent the number of digits in the multiplicands (\textit{assume both multiplicands have the same number of digits}). There exists a -point $y$ such that when $m < y$ the polynomial basis algorithms are more costly than Comba, when $m = y$ they are roughly the same cost and -when $m > y$ the Comba methods are slower than the polynomial basis algorithms. - -The exact location of $y$ depends on several key architectural elements of the computer platform in question. - -\begin{enumerate} -\item The ratio of clock cycles for single precision multiplication versus other simpler operations such as addition, shifting, etc. For example -on the AMD Athlon the ratio is roughly $17 : 1$ while on the Intel P4 it is $29 : 1$. The higher the ratio in favour of multiplication the lower -the cutoff point $y$ will be. - -\item The complexity of the linear system of equations (\textit{for the coefficients of $W(x)$}) is. Generally speaking as the number of splits -grows the complexity grows substantially. Ideally solving the system will only involve addition, subtraction and shifting of integers. This -directly reflects on the ratio previous mentioned. - -\item To a lesser extent memory bandwidth and function call overheads. Provided the values are in the processor cache this is less of an -influence over the cutoff point. - -\end{enumerate} - -A clean cutoff point separation occurs when a point $y$ is found such that all of the cutoff point conditions are met. For example, if the point -is too low then there will be values of $m$ such that $m > y$ and the Comba method is still faster. Finding the cutoff points is fairly simple when -a high resolution timer is available. - -\subsection{Karatsuba Multiplication} -Karatsuba \cite{KARA} multiplication when originally proposed in 1962 was among the first set of algorithms to break the $O(n^2)$ barrier for -general purpose multiplication. Given two polynomial basis representations $f(x) = ax + b$ and $g(x) = cx + d$, Karatsuba proved with -light algebra \cite{KARAP} that the following polynomial is equivalent to multiplication of the two integers the polynomials represent. - -\begin{equation} -f(x) \cdot g(x) = acx^2 + ((a + b)(c + d) - (ac + bd))x + bd -\end{equation} - -Using the observation that $ac$ and $bd$ could be re-used only three half sized multiplications would be required to produce the product. Applying -this algorithm recursively, the work factor becomes $O(n^{lg(3)})$ which is substantially better than the work factor $O(n^2)$ of the Comba technique. It turns -out what Karatsuba did not know or at least did not publish was that this is simply polynomial basis multiplication with the points -$\zeta_0$, $\zeta_{\infty}$ and $\zeta_{1}$. Consider the resultant system of equations. - -\begin{center} -\begin{tabular}{rcrcrcrc} -$\zeta_{0}$ & $=$ & & & & & $w_0$ \\ -$\zeta_{1}$ & $=$ & $w_2$ & $+$ & $w_1$ & $+$ & $w_0$ \\ -$\zeta_{\infty}$ & $=$ & $w_2$ & & & & \\ -\end{tabular} -\end{center} - -By adding the first and last equation to the equation in the middle the term $w_1$ can be isolated and all three coefficients solved for. The simplicity -of this system of equations has made Karatsuba fairly popular. In fact the cutoff point is often fairly low\footnote{With LibTomMath 0.18 it is 70 and 109 digits for the Intel P4 and AMD Athlon respectively.} -making it an ideal algorithm to speed up certain public key cryptosystems such as RSA and Diffie-Hellman. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_karatsuba\_mul}. \\ -\textbf{Input}. mp\_int $a$ and mp\_int $b$ \\ -\textbf{Output}. $c \leftarrow \vert a \vert \cdot \vert b \vert$ \\ -\hline \\ -1. Init the following mp\_int variables: $x0$, $x1$, $y0$, $y1$, $t1$, $x0y0$, $x1y1$.\\ -2. If step 2 failed then return(\textit{MP\_MEM}). \\ -\\ -Split the input. e.g. $a = x1 \cdot \beta^B + x0$ \\ -3. $B \leftarrow \mbox{min}(a.used, b.used)/2$ \\ -4. $x0 \leftarrow a \mbox{ (mod }\beta^B\mbox{)}$ (\textit{mp\_mod\_2d}) \\ -5. $y0 \leftarrow b \mbox{ (mod }\beta^B\mbox{)}$ \\ -6. $x1 \leftarrow \lfloor a / \beta^B \rfloor$ (\textit{mp\_rshd}) \\ -7. $y1 \leftarrow \lfloor b / \beta^B \rfloor$ \\ -\\ -Calculate the three products. \\ -8. $x0y0 \leftarrow x0 \cdot y0$ (\textit{mp\_mul}) \\ -9. $x1y1 \leftarrow x1 \cdot y1$ \\ -10. $t1 \leftarrow x1 + x0$ (\textit{mp\_add}) \\ -11. $x0 \leftarrow y1 + y0$ \\ -12. $t1 \leftarrow t1 \cdot x0$ \\ -\\ -Calculate the middle term. \\ -13. $x0 \leftarrow x0y0 + x1y1$ \\ -14. $t1 \leftarrow t1 - x0$ (\textit{s\_mp\_sub}) \\ -\\ -Calculate the final product. \\ -15. $t1 \leftarrow t1 \cdot \beta^B$ (\textit{mp\_lshd}) \\ -16. $x1y1 \leftarrow x1y1 \cdot \beta^{2B}$ \\ -17. $t1 \leftarrow x0y0 + t1$ \\ -18. $c \leftarrow t1 + x1y1$ \\ -19. Clear all of the temporary variables. \\ -20. Return(\textit{MP\_OKAY}).\\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_karatsuba\_mul} -\end{figure} - -\textbf{Algorithm mp\_karatsuba\_mul.} -This algorithm computes the unsigned product of two inputs using the Karatsuba multiplication algorithm. It is loosely based on the description -from Knuth \cite[pp. 294-295]{TAOCPV2}. - -\index{radix point} -In order to split the two inputs into their respective halves, a suitable \textit{radix point} must be chosen. The radix point chosen must -be used for both of the inputs meaning that it must be smaller than the smallest input. Step 3 chooses the radix point $B$ as half of the -smallest input \textbf{used} count. After the radix point is chosen the inputs are split into lower and upper halves. Step 4 and 5 -compute the lower halves. Step 6 and 7 computer the upper halves. - -After the halves have been computed the three intermediate half-size products must be computed. Step 8 and 9 compute the trivial products -$x0 \cdot y0$ and $x1 \cdot y1$. The mp\_int $x0$ is used as a temporary variable after $x1 + x0$ has been computed. By using $x0$ instead -of an additional temporary variable, the algorithm can avoid an addition memory allocation operation. - -The remaining steps 13 through 18 compute the Karatsuba polynomial through a variety of digit shifting and addition operations. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_karatsuba\_mul.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The new coding element in this routine, not seen in previous routines, is the usage of goto statements. The conventional -wisdom is that goto statements should be avoided. This is generally true, however when every single function call can fail, it makes sense -to handle error recovery with a single piece of code. Lines 62 to 76 handle initializing all of the temporary variables -required. Note how each of the if statements goes to a different label in case of failure. This allows the routine to correctly free only -the temporaries that have been successfully allocated so far. - -The temporary variables are all initialized using the mp\_init\_size routine since they are expected to be large. This saves the -additional reallocation that would have been necessary. Also $x0$, $x1$, $y0$ and $y1$ have to be able to hold at least their respective -number of digits for the next section of code. - -The first algebraic portion of the algorithm is to split the two inputs into their halves. However, instead of using mp\_mod\_2d and mp\_rshd -to extract the halves, the respective code has been placed inline within the body of the function. To initialize the halves, the \textbf{used} and -\textbf{sign} members are copied first. The first for loop on line 96 copies the lower halves. Since they are both the same magnitude it -is simpler to calculate both lower halves in a single loop. The for loop on lines 102 and 107 calculate the upper halves $x1$ and -$y1$ respectively. - -By inlining the calculation of the halves, the Karatsuba multiplier has a slightly lower overhead and can be used for smaller magnitude inputs. - -When line 151 is reached, the algorithm has completed succesfully. The ``error status'' variable $err$ is set to \textbf{MP\_OKAY} so that -the same code that handles errors can be used to clear the temporary variables and return. - -\subsection{Toom-Cook $3$-Way Multiplication} -Toom-Cook $3$-Way \cite{TOOM} multiplication is essentially the polynomial basis algorithm for $n = 2$ except that the points are -chosen such that $\zeta$ is easy to compute and the resulting system of equations easy to reduce. Here, the points $\zeta_{0}$, -$16 \cdot \zeta_{1 \over 2}$, $\zeta_1$, $\zeta_2$ and $\zeta_{\infty}$ make up the five required points to solve for the coefficients -of the $W(x)$. - -With the five relations that Toom-Cook specifies, the following system of equations is formed. - -\begin{center} -\begin{tabular}{rcrcrcrcrcr} -$\zeta_0$ & $=$ & $0w_4$ & $+$ & $0w_3$ & $+$ & $0w_2$ & $+$ & $0w_1$ & $+$ & $1w_0$ \\ -$16 \cdot \zeta_{1 \over 2}$ & $=$ & $1w_4$ & $+$ & $2w_3$ & $+$ & $4w_2$ & $+$ & $8w_1$ & $+$ & $16w_0$ \\ -$\zeta_1$ & $=$ & $1w_4$ & $+$ & $1w_3$ & $+$ & $1w_2$ & $+$ & $1w_1$ & $+$ & $1w_0$ \\ -$\zeta_2$ & $=$ & $16w_4$ & $+$ & $8w_3$ & $+$ & $4w_2$ & $+$ & $2w_1$ & $+$ & $1w_0$ \\ -$\zeta_{\infty}$ & $=$ & $1w_4$ & $+$ & $0w_3$ & $+$ & $0w_2$ & $+$ & $0w_1$ & $+$ & $0w_0$ \\ -\end{tabular} -\end{center} - -A trivial solution to this matrix requires $12$ subtractions, two multiplications by a small power of two, two divisions by a small power -of two, two divisions by three and one multiplication by three. All of these $19$ sub-operations require less than quadratic time, meaning that -the algorithm can be faster than a baseline multiplication. However, the greater complexity of this algorithm places the cutoff point -(\textbf{TOOM\_MUL\_CUTOFF}) where Toom-Cook becomes more efficient much higher than the Karatsuba cutoff point. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_toom\_mul}. \\ -\textbf{Input}. mp\_int $a$ and mp\_int $b$ \\ -\textbf{Output}. $c \leftarrow a \cdot b $ \\ -\hline \\ -Split $a$ and $b$ into three pieces. E.g. $a = a_2 \beta^{2k} + a_1 \beta^{k} + a_0$ \\ -1. $k \leftarrow \lfloor \mbox{min}(a.used, b.used) / 3 \rfloor$ \\ -2. $a_0 \leftarrow a \mbox{ (mod }\beta^{k}\mbox{)}$ \\ -3. $a_1 \leftarrow \lfloor a / \beta^k \rfloor$, $a_1 \leftarrow a_1 \mbox{ (mod }\beta^{k}\mbox{)}$ \\ -4. $a_2 \leftarrow \lfloor a / \beta^{2k} \rfloor$, $a_2 \leftarrow a_2 \mbox{ (mod }\beta^{k}\mbox{)}$ \\ -5. $b_0 \leftarrow a \mbox{ (mod }\beta^{k}\mbox{)}$ \\ -6. $b_1 \leftarrow \lfloor a / \beta^k \rfloor$, $b_1 \leftarrow b_1 \mbox{ (mod }\beta^{k}\mbox{)}$ \\ -7. $b_2 \leftarrow \lfloor a / \beta^{2k} \rfloor$, $b_2 \leftarrow b_2 \mbox{ (mod }\beta^{k}\mbox{)}$ \\ -\\ -Find the five equations for $w_0, w_1, ..., w_4$. \\ -8. $w_0 \leftarrow a_0 \cdot b_0$ \\ -9. $w_4 \leftarrow a_2 \cdot b_2$ \\ -10. $tmp_1 \leftarrow 2 \cdot a_0$, $tmp_1 \leftarrow a_1 + tmp_1$, $tmp_1 \leftarrow 2 \cdot tmp_1$, $tmp_1 \leftarrow tmp_1 + a_2$ \\ -11. $tmp_2 \leftarrow 2 \cdot b_0$, $tmp_2 \leftarrow b_1 + tmp_2$, $tmp_2 \leftarrow 2 \cdot tmp_2$, $tmp_2 \leftarrow tmp_2 + b_2$ \\ -12. $w_1 \leftarrow tmp_1 \cdot tmp_2$ \\ -13. $tmp_1 \leftarrow 2 \cdot a_2$, $tmp_1 \leftarrow a_1 + tmp_1$, $tmp_1 \leftarrow 2 \cdot tmp_1$, $tmp_1 \leftarrow tmp_1 + a_0$ \\ -14. $tmp_2 \leftarrow 2 \cdot b_2$, $tmp_2 \leftarrow b_1 + tmp_2$, $tmp_2 \leftarrow 2 \cdot tmp_2$, $tmp_2 \leftarrow tmp_2 + b_0$ \\ -15. $w_3 \leftarrow tmp_1 \cdot tmp_2$ \\ -16. $tmp_1 \leftarrow a_0 + a_1$, $tmp_1 \leftarrow tmp_1 + a_2$, $tmp_2 \leftarrow b_0 + b_1$, $tmp_2 \leftarrow tmp_2 + b_2$ \\ -17. $w_2 \leftarrow tmp_1 \cdot tmp_2$ \\ -\\ -Continued on the next page.\\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_toom\_mul} -\end{figure} - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_toom\_mul} (continued). \\ -\textbf{Input}. mp\_int $a$ and mp\_int $b$ \\ -\textbf{Output}. $c \leftarrow a \cdot b $ \\ -\hline \\ -Now solve the system of equations. \\ -18. $w_1 \leftarrow w_4 - w_1$, $w_3 \leftarrow w_3 - w_0$ \\ -19. $w_1 \leftarrow \lfloor w_1 / 2 \rfloor$, $w_3 \leftarrow \lfloor w_3 / 2 \rfloor$ \\ -20. $w_2 \leftarrow w_2 - w_0$, $w_2 \leftarrow w_2 - w_4$ \\ -21. $w_1 \leftarrow w_1 - w_2$, $w_3 \leftarrow w_3 - w_2$ \\ -22. $tmp_1 \leftarrow 8 \cdot w_0$, $w_1 \leftarrow w_1 - tmp_1$, $tmp_1 \leftarrow 8 \cdot w_4$, $w_3 \leftarrow w_3 - tmp_1$ \\ -23. $w_2 \leftarrow 3 \cdot w_2$, $w_2 \leftarrow w_2 - w_1$, $w_2 \leftarrow w_2 - w_3$ \\ -24. $w_1 \leftarrow w_1 - w_2$, $w_3 \leftarrow w_3 - w_2$ \\ -25. $w_1 \leftarrow \lfloor w_1 / 3 \rfloor, w_3 \leftarrow \lfloor w_3 / 3 \rfloor$ \\ -\\ -Now substitute $\beta^k$ for $x$ by shifting $w_0, w_1, ..., w_4$. \\ -26. for $n$ from $1$ to $4$ do \\ -\hspace{3mm}26.1 $w_n \leftarrow w_n \cdot \beta^{nk}$ \\ -27. $c \leftarrow w_0 + w_1$, $c \leftarrow c + w_2$, $c \leftarrow c + w_3$, $c \leftarrow c + w_4$ \\ -28. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_toom\_mul (continued)} -\end{figure} - -\textbf{Algorithm mp\_toom\_mul.} -This algorithm computes the product of two mp\_int variables $a$ and $b$ using the Toom-Cook approach. Compared to the Karatsuba multiplication, this -algorithm has a lower asymptotic running time of approximately $O(n^{1.464})$ but at an obvious cost in overhead. In this -description, several statements have been compounded to save space. The intention is that the statements are executed from left to right across -any given step. - -The two inputs $a$ and $b$ are first split into three $k$-digit integers $a_0, a_1, a_2$ and $b_0, b_1, b_2$ respectively. From these smaller -integers the coefficients of the polynomial basis representations $f(x)$ and $g(x)$ are known and can be used to find the relations required. - -The first two relations $w_0$ and $w_4$ are the points $\zeta_{0}$ and $\zeta_{\infty}$ respectively. The relation $w_1, w_2$ and $w_3$ correspond -to the points $16 \cdot \zeta_{1 \over 2}, \zeta_{2}$ and $\zeta_{1}$ respectively. These are found using logical shifts to independently find -$f(y)$ and $g(y)$ which significantly speeds up the algorithm. - -After the five relations $w_0, w_1, \ldots, w_4$ have been computed, the system they represent must be solved in order for the unknown coefficients -$w_1, w_2$ and $w_3$ to be isolated. The steps 18 through 25 perform the system reduction required as previously described. Each step of -the reduction represents the comparable matrix operation that would be performed had this been performed by pencil. For example, step 18 indicates -that row $1$ must be subtracted from row $4$ and simultaneously row $0$ subtracted from row $3$. - -Once the coeffients have been isolated, the polynomial $W(x) = \sum_{i=0}^{2n} w_i x^i$ is known. By substituting $\beta^{k}$ for $x$, the integer -result $a \cdot b$ is produced. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_toom\_mul.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The first obvious thing to note is that this algorithm is complicated. The complexity is worth it if you are multiplying very -large numbers. For example, a 10,000 digit multiplication takes approximaly 99,282,205 fewer single precision multiplications with -Toom--Cook than a Comba or baseline approach (this is a savings of more than 99$\%$). For most ``crypto'' sized numbers this -algorithm is not practical as Karatsuba has a much lower cutoff point. - -First we split $a$ and $b$ into three roughly equal portions. This has been accomplished (lines 41 to 70) with -combinations of mp\_rshd() and mp\_mod\_2d() function calls. At this point $a = a2 \cdot \beta^2 + a1 \cdot \beta + a0$ and similiarly -for $b$. - -Next we compute the five points $w0, w1, w2, w3$ and $w4$. Recall that $w0$ and $w4$ can be computed directly from the portions so -we get those out of the way first (lines 73 and 78). Next we compute $w1, w2$ and $w3$ using Horners method. - -After this point we solve for the actual values of $w1, w2$ and $w3$ by reducing the $5 \times 5$ system which is relatively -straight forward. - -\subsection{Signed Multiplication} -Now that algorithms to handle multiplications of every useful dimensions have been developed, a rather simple finishing touch is required. So far all -of the multiplication algorithms have been unsigned multiplications which leaves only a signed multiplication algorithm to be established. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_mul}. \\ -\textbf{Input}. mp\_int $a$ and mp\_int $b$ \\ -\textbf{Output}. $c \leftarrow a \cdot b$ \\ -\hline \\ -1. If $a.sign = b.sign$ then \\ -\hspace{3mm}1.1 $sign = MP\_ZPOS$ \\ -2. else \\ -\hspace{3mm}2.1 $sign = MP\_ZNEG$ \\ -3. If min$(a.used, b.used) \ge TOOM\_MUL\_CUTOFF$ then \\ -\hspace{3mm}3.1 $c \leftarrow a \cdot b$ using algorithm mp\_toom\_mul \\ -4. else if min$(a.used, b.used) \ge KARATSUBA\_MUL\_CUTOFF$ then \\ -\hspace{3mm}4.1 $c \leftarrow a \cdot b$ using algorithm mp\_karatsuba\_mul \\ -5. else \\ -\hspace{3mm}5.1 $digs \leftarrow a.used + b.used + 1$ \\ -\hspace{3mm}5.2 If $digs < MP\_ARRAY$ and min$(a.used, b.used) \le \delta$ then \\ -\hspace{6mm}5.2.1 $c \leftarrow a \cdot b \mbox{ (mod }\beta^{digs}\mbox{)}$ using algorithm fast\_s\_mp\_mul\_digs. \\ -\hspace{3mm}5.3 else \\ -\hspace{6mm}5.3.1 $c \leftarrow a \cdot b \mbox{ (mod }\beta^{digs}\mbox{)}$ using algorithm s\_mp\_mul\_digs. \\ -6. $c.sign \leftarrow sign$ \\ -7. Return the result of the unsigned multiplication performed. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_mul} -\end{figure} - -\textbf{Algorithm mp\_mul.} -This algorithm performs the signed multiplication of two inputs. It will make use of any of the three unsigned multiplication algorithms -available when the input is of appropriate size. The \textbf{sign} of the result is not set until the end of the algorithm since algorithm -s\_mp\_mul\_digs will clear it. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_mul.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The implementation is rather simplistic and is not particularly noteworthy. Line 22 computes the sign of the result using the ``?'' -operator from the C programming language. Line 48 computes $\delta$ using the fact that $1 << k$ is equal to $2^k$. - -\section{Squaring} -\label{sec:basesquare} - -Squaring is a special case of multiplication where both multiplicands are equal. At first it may seem like there is no significant optimization -available but in fact there is. Consider the multiplication of $576$ against $241$. In total there will be nine single precision multiplications -performed which are $1\cdot 6$, $1 \cdot 7$, $1 \cdot 5$, $4 \cdot 6$, $4 \cdot 7$, $4 \cdot 5$, $2 \cdot 6$, $2 \cdot 7$ and $2 \cdot 5$. Now consider -the multiplication of $123$ against $123$. The nine products are $3 \cdot 3$, $3 \cdot 2$, $3 \cdot 1$, $2 \cdot 3$, $2 \cdot 2$, $2 \cdot 1$, -$1 \cdot 3$, $1 \cdot 2$ and $1 \cdot 1$. On closer inspection some of the products are equivalent. For example, $3 \cdot 2 = 2 \cdot 3$ -and $3 \cdot 1 = 1 \cdot 3$. - -For any $n$-digit input, there are ${{\left (n^2 + n \right)}\over 2}$ possible unique single precision multiplications required compared to the $n^2$ -required for multiplication. The following diagram gives an example of the operations required. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{ccccc|c} -&&1&2&3&\\ -$\times$ &&1&2&3&\\ -\hline && $3 \cdot 1$ & $3 \cdot 2$ & $3 \cdot 3$ & Row 0\\ - & $2 \cdot 1$ & $2 \cdot 2$ & $2 \cdot 3$ && Row 1 \\ - $1 \cdot 1$ & $1 \cdot 2$ & $1 \cdot 3$ &&& Row 2 \\ -\end{tabular} -\end{center} -\caption{Squaring Optimization Diagram} -\end{figure} - -Starting from zero and numbering the columns from right to left a very simple pattern becomes obvious. For the purposes of this discussion let $x$ -represent the number being squared. The first observation is that in row $k$ the $2k$'th column of the product has a $\left (x_k \right)^2$ term in it. - -The second observation is that every column $j$ in row $k$ where $j \ne 2k$ is part of a double product. Every non-square term of a column will -appear twice hence the name ``double product''. Every odd column is made up entirely of double products. In fact every column is made up of double -products and at most one square (\textit{see the exercise section}). - -The third and final observation is that for row $k$ the first unique non-square term, that is, one that hasn't already appeared in an earlier row, -occurs at column $2k + 1$. For example, on row $1$ of the previous squaring, column one is part of the double product with column one from row zero. -Column two of row one is a square and column three is the first unique column. - -\subsection{The Baseline Squaring Algorithm} -The baseline squaring algorithm is meant to be a catch-all squaring algorithm. It will handle any of the input sizes that the faster routines -will not handle. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{s\_mp\_sqr}. \\ -\textbf{Input}. mp\_int $a$ \\ -\textbf{Output}. $b \leftarrow a^2$ \\ -\hline \\ -1. Init a temporary mp\_int of at least $2 \cdot a.used +1$ digits. (\textit{mp\_init\_size}) \\ -2. If step 1 failed return(\textit{MP\_MEM}) \\ -3. $t.used \leftarrow 2 \cdot a.used + 1$ \\ -4. For $ix$ from 0 to $a.used - 1$ do \\ -\hspace{3mm}Calculate the square. \\ -\hspace{3mm}4.1 $\hat r \leftarrow t_{2ix} + \left (a_{ix} \right )^2$ \\ -\hspace{3mm}4.2 $t_{2ix} \leftarrow \hat r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{3mm}Calculate the double products after the square. \\ -\hspace{3mm}4.3 $u \leftarrow \lfloor \hat r / \beta \rfloor$ \\ -\hspace{3mm}4.4 For $iy$ from $ix + 1$ to $a.used - 1$ do \\ -\hspace{6mm}4.4.1 $\hat r \leftarrow 2 \cdot a_{ix}a_{iy} + t_{ix + iy} + u$ \\ -\hspace{6mm}4.4.2 $t_{ix + iy} \leftarrow \hat r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{6mm}4.4.3 $u \leftarrow \lfloor \hat r / \beta \rfloor$ \\ -\hspace{3mm}Set the last carry. \\ -\hspace{3mm}4.5 While $u > 0$ do \\ -\hspace{6mm}4.5.1 $iy \leftarrow iy + 1$ \\ -\hspace{6mm}4.5.2 $\hat r \leftarrow t_{ix + iy} + u$ \\ -\hspace{6mm}4.5.3 $t_{ix + iy} \leftarrow \hat r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{6mm}4.5.4 $u \leftarrow \lfloor \hat r / \beta \rfloor$ \\ -5. Clamp excess digits of $t$. (\textit{mp\_clamp}) \\ -6. Exchange $b$ and $t$. \\ -7. Clear $t$ (\textit{mp\_clear}) \\ -8. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm s\_mp\_sqr} -\end{figure} - -\textbf{Algorithm s\_mp\_sqr.} -This algorithm computes the square of an input using the three observations on squaring. It is based fairly faithfully on algorithm 14.16 of HAC -\cite[pp.596-597]{HAC}. Similar to algorithm s\_mp\_mul\_digs, a temporary mp\_int is allocated to hold the result of the squaring. This allows the -destination mp\_int to be the same as the source mp\_int. - -The outer loop of this algorithm begins on step 4. It is best to think of the outer loop as walking down the rows of the partial results, while -the inner loop computes the columns of the partial result. Step 4.1 and 4.2 compute the square term for each row, and step 4.3 and 4.4 propagate -the carry and compute the double products. - -The requirement that a mp\_word be able to represent the range $0 \le x < 2 \beta^2$ arises from this -very algorithm. The product $a_{ix}a_{iy}$ will lie in the range $0 \le x \le \beta^2 - 2\beta + 1$ which is obviously less than $\beta^2$ meaning that -when it is multiplied by two, it can be properly represented by a mp\_word. - -Similar to algorithm s\_mp\_mul\_digs, after every pass of the inner loop, the destination is correctly set to the sum of all of the partial -results calculated so far. This involves expensive carry propagation which will be eliminated in the next algorithm. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_s\_mp\_sqr.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -Inside the outer loop (line 34) the square term is calculated on line 37. The carry (line 44) has been -extracted from the mp\_word accumulator using a right shift. Aliases for $a_{ix}$ and $t_{ix+iy}$ are initialized -(lines 47 and 50) to simplify the inner loop. The doubling is performed using two -additions (line 59) since it is usually faster than shifting, if not at least as fast. - -The important observation is that the inner loop does not begin at $iy = 0$ like for multiplication. As such the inner loops -get progressively shorter as the algorithm proceeds. This is what leads to the savings compared to using a multiplication to -square a number. - -\subsection{Faster Squaring by the ``Comba'' Method} -A major drawback to the baseline method is the requirement for single precision shifting inside the $O(n^2)$ nested loop. Squaring has an additional -drawback that it must double the product inside the inner loop as well. As for multiplication, the Comba technique can be used to eliminate these -performance hazards. - -The first obvious solution is to make an array of mp\_words which will hold all of the columns. This will indeed eliminate all of the carry -propagation operations from the inner loop. However, the inner product must still be doubled $O(n^2)$ times. The solution stems from the simple fact -that $2a + 2b + 2c = 2(a + b + c)$. That is the sum of all of the double products is equal to double the sum of all the products. For example, -$ab + ba + ac + ca = 2ab + 2ac = 2(ab + ac)$. - -However, we cannot simply double all of the columns, since the squares appear only once per row. The most practical solution is to have two -mp\_word arrays. One array will hold the squares and the other array will hold the double products. With both arrays the doubling and -carry propagation can be moved to a $O(n)$ work level outside the $O(n^2)$ level. In this case, we have an even simpler solution in mind. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{fast\_s\_mp\_sqr}. \\ -\textbf{Input}. mp\_int $a$ \\ -\textbf{Output}. $b \leftarrow a^2$ \\ -\hline \\ -Place an array of \textbf{MP\_WARRAY} mp\_digits named $W$ on the stack. \\ -1. If $b.alloc < 2a.used + 1$ then grow $b$ to $2a.used + 1$ digits. (\textit{mp\_grow}). \\ -2. If step 1 failed return(\textit{MP\_MEM}). \\ -\\ -3. $pa \leftarrow 2 \cdot a.used$ \\ -4. $\hat W1 \leftarrow 0$ \\ -5. for $ix$ from $0$ to $pa - 1$ do \\ -\hspace{3mm}5.1 $\_ \hat W \leftarrow 0$ \\ -\hspace{3mm}5.2 $ty \leftarrow \mbox{MIN}(a.used - 1, ix)$ \\ -\hspace{3mm}5.3 $tx \leftarrow ix - ty$ \\ -\hspace{3mm}5.4 $iy \leftarrow \mbox{MIN}(a.used - tx, ty + 1)$ \\ -\hspace{3mm}5.5 $iy \leftarrow \mbox{MIN}(iy, \lfloor \left (ty - tx + 1 \right )/2 \rfloor)$ \\ -\hspace{3mm}5.6 for $iz$ from $0$ to $iz - 1$ do \\ -\hspace{6mm}5.6.1 $\_ \hat W \leftarrow \_ \hat W + a_{tx + iz}a_{ty - iz}$ \\ -\hspace{3mm}5.7 $\_ \hat W \leftarrow 2 \cdot \_ \hat W + \hat W1$ \\ -\hspace{3mm}5.8 if $ix$ is even then \\ -\hspace{6mm}5.8.1 $\_ \hat W \leftarrow \_ \hat W + \left ( a_{\lfloor ix/2 \rfloor}\right )^2$ \\ -\hspace{3mm}5.9 $W_{ix} \leftarrow \_ \hat W (\mbox{mod }\beta)$ \\ -\hspace{3mm}5.10 $\hat W1 \leftarrow \lfloor \_ \hat W / \beta \rfloor$ \\ -\\ -6. $oldused \leftarrow b.used$ \\ -7. $b.used \leftarrow 2 \cdot a.used$ \\ -8. for $ix$ from $0$ to $pa - 1$ do \\ -\hspace{3mm}8.1 $b_{ix} \leftarrow W_{ix}$ \\ -9. for $ix$ from $pa$ to $oldused - 1$ do \\ -\hspace{3mm}9.1 $b_{ix} \leftarrow 0$ \\ -10. Clamp excess digits from $b$. (\textit{mp\_clamp}) \\ -11. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm fast\_s\_mp\_sqr} -\end{figure} - -\textbf{Algorithm fast\_s\_mp\_sqr.} -This algorithm computes the square of an input using the Comba technique. It is designed to be a replacement for algorithm -s\_mp\_sqr when the number of input digits is less than \textbf{MP\_WARRAY} and less than $\delta \over 2$. -This algorithm is very similar to the Comba multiplier except with a few key differences we shall make note of. - -First, we have an accumulator and carry variables $\_ \hat W$ and $\hat W1$ respectively. This is because the inner loop -products are to be doubled. If we had added the previous carry in we would be doubling too much. Next we perform an -addition MIN condition on $iy$ (step 5.5) to prevent overlapping digits. For example, $a_3 \cdot a_5$ is equal -$a_5 \cdot a_3$. Whereas in the multiplication case we would have $5 < a.used$ and $3 \ge 0$ is maintained since we double the sum -of the products just outside the inner loop we have to avoid doing this. This is also a good thing since we perform -fewer multiplications and the routine ends up being faster. - -Finally the last difference is the addition of the ``square'' term outside the inner loop (step 5.8). We add in the square -only to even outputs and it is the square of the term at the $\lfloor ix / 2 \rfloor$ position. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_fast\_s\_mp\_sqr.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -This implementation is essentially a copy of Comba multiplication with the appropriate changes added to make it faster for -the special case of squaring. - -\subsection{Polynomial Basis Squaring} -The same algorithm that performs optimal polynomial basis multiplication can be used to perform polynomial basis squaring. The minor exception -is that $\zeta_y = f(y)g(y)$ is actually equivalent to $\zeta_y = f(y)^2$ since $f(y) = g(y)$. Instead of performing $2n + 1$ -multiplications to find the $\zeta$ relations, squaring operations are performed instead. - -\subsection{Karatsuba Squaring} -Let $f(x) = ax + b$ represent the polynomial basis representation of a number to square. -Let $h(x) = \left ( f(x) \right )^2$ represent the square of the polynomial. The Karatsuba equation can be modified to square a -number with the following equation. - -\begin{equation} -h(x) = a^2x^2 + \left ((a + b)^2 - (a^2 + b^2) \right )x + b^2 -\end{equation} - -Upon closer inspection this equation only requires the calculation of three half-sized squares: $a^2$, $b^2$ and $(a + b)^2$. As in -Karatsuba multiplication, this algorithm can be applied recursively on the input and will achieve an asymptotic running time of -$O \left ( n^{lg(3)} \right )$. - -If the asymptotic times of Karatsuba squaring and multiplication are the same, why not simply use the multiplication algorithm -instead? The answer to this arises from the cutoff point for squaring. As in multiplication there exists a cutoff point, at which the -time required for a Comba based squaring and a Karatsuba based squaring meet. Due to the overhead inherent in the Karatsuba method, the cutoff -point is fairly high. For example, on an AMD Athlon XP processor with $\beta = 2^{28}$, the cutoff point is around 127 digits. - -Consider squaring a 200 digit number with this technique. It will be split into two 100 digit halves which are subsequently squared. -The 100 digit halves will not be squared using Karatsuba, but instead using the faster Comba based squaring algorithm. If Karatsuba multiplication -were used instead, the 100 digit numbers would be squared with a slower Comba based multiplication. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_karatsuba\_sqr}. \\ -\textbf{Input}. mp\_int $a$ \\ -\textbf{Output}. $b \leftarrow a^2$ \\ -\hline \\ -1. Initialize the following temporary mp\_ints: $x0$, $x1$, $t1$, $t2$, $x0x0$ and $x1x1$. \\ -2. If any of the initializations on step 1 failed return(\textit{MP\_MEM}). \\ -\\ -Split the input. e.g. $a = x1\beta^B + x0$ \\ -3. $B \leftarrow \lfloor a.used / 2 \rfloor$ \\ -4. $x0 \leftarrow a \mbox{ (mod }\beta^B\mbox{)}$ (\textit{mp\_mod\_2d}) \\ -5. $x1 \leftarrow \lfloor a / \beta^B \rfloor$ (\textit{mp\_lshd}) \\ -\\ -Calculate the three squares. \\ -6. $x0x0 \leftarrow x0^2$ (\textit{mp\_sqr}) \\ -7. $x1x1 \leftarrow x1^2$ \\ -8. $t1 \leftarrow x1 + x0$ (\textit{s\_mp\_add}) \\ -9. $t1 \leftarrow t1^2$ \\ -\\ -Compute the middle term. \\ -10. $t2 \leftarrow x0x0 + x1x1$ (\textit{s\_mp\_add}) \\ -11. $t1 \leftarrow t1 - t2$ \\ -\\ -Compute final product. \\ -12. $t1 \leftarrow t1\beta^B$ (\textit{mp\_lshd}) \\ -13. $x1x1 \leftarrow x1x1\beta^{2B}$ \\ -14. $t1 \leftarrow t1 + x0x0$ \\ -15. $b \leftarrow t1 + x1x1$ \\ -16. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_karatsuba\_sqr} -\end{figure} - -\textbf{Algorithm mp\_karatsuba\_sqr.} -This algorithm computes the square of an input $a$ using the Karatsuba technique. This algorithm is very similar to the Karatsuba based -multiplication algorithm with the exception that the three half-size multiplications have been replaced with three half-size squarings. - -The radix point for squaring is simply placed exactly in the middle of the digits when the input has an odd number of digits, otherwise it is -placed just below the middle. Step 3, 4 and 5 compute the two halves required using $B$ -as the radix point. The first two squares in steps 6 and 7 are rather straightforward while the last square is of a more compact form. - -By expanding $\left (x1 + x0 \right )^2$, the $x1^2$ and $x0^2$ terms in the middle disappear, that is $(x0 - x1)^2 - (x1^2 + x0^2) = 2 \cdot x0 \cdot x1$. -Now if $5n$ single precision additions and a squaring of $n$-digits is faster than multiplying two $n$-digit numbers and doubling then -this method is faster. Assuming no further recursions occur, the difference can be estimated with the following inequality. - -Let $p$ represent the cost of a single precision addition and $q$ the cost of a single precision multiplication both in terms of time\footnote{Or -machine clock cycles.}. - -\begin{equation} -5pn +{{q(n^2 + n)} \over 2} \le pn + qn^2 -\end{equation} - -For example, on an AMD Athlon XP processor $p = {1 \over 3}$ and $q = 6$. This implies that the following inequality should hold. -\begin{center} -\begin{tabular}{rcl} -${5n \over 3} + 3n^2 + 3n$ & $<$ & ${n \over 3} + 6n^2$ \\ -${5 \over 3} + 3n + 3$ & $<$ & ${1 \over 3} + 6n$ \\ -${13 \over 9}$ & $<$ & $n$ \\ -\end{tabular} -\end{center} - -This results in a cutoff point around $n = 2$. As a consequence it is actually faster to compute the middle term the ``long way'' on processors -where multiplication is substantially slower\footnote{On the Athlon there is a 1:17 ratio between clock cycles for addition and multiplication. On -the Intel P4 processor this ratio is 1:29 making this method even more beneficial. The only common exception is the ARMv4 processor which has a -ratio of 1:7. } than simpler operations such as addition. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_karatsuba\_sqr.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -This implementation is largely based on the implementation of algorithm mp\_karatsuba\_mul. It uses the same inline style to copy and -shift the input into the two halves. The loop from line 54 to line 70 has been modified since only one input exists. The \textbf{used} -count of both $x0$ and $x1$ is fixed up and $x0$ is clamped before the calculations begin. At this point $x1$ and $x0$ are valid equivalents -to the respective halves as if mp\_rshd and mp\_mod\_2d had been used. - -By inlining the copy and shift operations the cutoff point for Karatsuba multiplication can be lowered. On the Athlon the cutoff point -is exactly at the point where Comba squaring can no longer be used (\textit{128 digits}). On slower processors such as the Intel P4 -it is actually below the Comba limit (\textit{at 110 digits}). - -This routine uses the same error trap coding style as mp\_karatsuba\_sqr. As the temporary variables are initialized errors are -redirected to the error trap higher up. If the algorithm completes without error the error code is set to \textbf{MP\_OKAY} and -mp\_clears are executed normally. - -\subsection{Toom-Cook Squaring} -The Toom-Cook squaring algorithm mp\_toom\_sqr is heavily based on the algorithm mp\_toom\_mul with the exception that squarings are used -instead of multiplication to find the five relations. The reader is encouraged to read the description of the latter algorithm and try to -derive their own Toom-Cook squaring algorithm. - -\subsection{High Level Squaring} -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_sqr}. \\ -\textbf{Input}. mp\_int $a$ \\ -\textbf{Output}. $b \leftarrow a^2$ \\ -\hline \\ -1. If $a.used \ge TOOM\_SQR\_CUTOFF$ then \\ -\hspace{3mm}1.1 $b \leftarrow a^2$ using algorithm mp\_toom\_sqr \\ -2. else if $a.used \ge KARATSUBA\_SQR\_CUTOFF$ then \\ -\hspace{3mm}2.1 $b \leftarrow a^2$ using algorithm mp\_karatsuba\_sqr \\ -3. else \\ -\hspace{3mm}3.1 $digs \leftarrow a.used + b.used + 1$ \\ -\hspace{3mm}3.2 If $digs < MP\_ARRAY$ and $a.used \le \delta$ then \\ -\hspace{6mm}3.2.1 $b \leftarrow a^2$ using algorithm fast\_s\_mp\_sqr. \\ -\hspace{3mm}3.3 else \\ -\hspace{6mm}3.3.1 $b \leftarrow a^2$ using algorithm s\_mp\_sqr. \\ -4. $b.sign \leftarrow MP\_ZPOS$ \\ -5. Return the result of the unsigned squaring performed. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_sqr} -\end{figure} - -\textbf{Algorithm mp\_sqr.} -This algorithm computes the square of the input using one of four different algorithms. If the input is very large and has at least -\textbf{TOOM\_SQR\_CUTOFF} or \textbf{KARATSUBA\_SQR\_CUTOFF} digits then either the Toom-Cook or the Karatsuba Squaring algorithm is used. If -neither of the polynomial basis algorithms should be used then either the Comba or baseline algorithm is used. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_sqr.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\section*{Exercises} -\begin{tabular}{cl} -$\left [ 3 \right ] $ & Devise an efficient algorithm for selection of the radix point to handle inputs \\ - & that have different number of digits in Karatsuba multiplication. \\ - & \\ -$\left [ 2 \right ] $ & In section 5.3 the fact that every column of a squaring is made up \\ - & of double products and at most one square is stated. Prove this statement. \\ - & \\ -$\left [ 3 \right ] $ & Prove the equation for Karatsuba squaring. \\ - & \\ -$\left [ 1 \right ] $ & Prove that Karatsuba squaring requires $O \left (n^{lg(3)} \right )$ time. \\ - & \\ -$\left [ 2 \right ] $ & Determine the minimal ratio between addition and multiplication clock cycles \\ - & required for equation $6.7$ to be true. \\ - & \\ -$\left [ 3 \right ] $ & Implement a threaded version of Comba multiplication (and squaring) where you \\ - & compute subsets of the columns in each thread. Determine a cutoff point where \\ - & it is effective and add the logic to mp\_mul() and mp\_sqr(). \\ - &\\ -$\left [ 4 \right ] $ & Same as the previous but also modify the Karatsuba and Toom-Cook. You must \\ - & increase the throughput of mp\_exptmod() for random odd moduli in the range \\ - & $512 \ldots 4096$ bits significantly ($> 2x$) to complete this challenge. \\ - & \\ -\end{tabular} - -\chapter{Modular Reduction} -\section{Basics of Modular Reduction} -\index{modular residue} -Modular reduction is an operation that arises quite often within public key cryptography algorithms and various number theoretic algorithms, -such as factoring. Modular reduction algorithms are the third class of algorithms of the ``multipliers'' set. A number $a$ is said to be \textit{reduced} -modulo another number $b$ by finding the remainder of the division $a/b$. Full integer division with remainder is a topic to be covered -in~\ref{sec:division}. - -Modular reduction is equivalent to solving for $r$ in the following equation. $a = bq + r$ where $q = \lfloor a/b \rfloor$. The result -$r$ is said to be ``congruent to $a$ modulo $b$'' which is also written as $r \equiv a \mbox{ (mod }b\mbox{)}$. In other vernacular $r$ is known as the -``modular residue'' which leads to ``quadratic residue''\footnote{That's fancy talk for $b \equiv a^2 \mbox{ (mod }p\mbox{)}$.} and -other forms of residues. - -Modular reductions are normally used to create either finite groups, rings or fields. The most common usage for performance driven modular reductions -is in modular exponentiation algorithms. That is to compute $d = a^b \mbox{ (mod }c\mbox{)}$ as fast as possible. This operation is used in the -RSA and Diffie-Hellman public key algorithms, for example. Modular multiplication and squaring also appears as a fundamental operation in -elliptic curve cryptographic algorithms. As will be discussed in the subsequent chapter there exist fast algorithms for computing modular -exponentiations without having to perform (\textit{in this example}) $b - 1$ multiplications. These algorithms will produce partial results in the -range $0 \le x < c^2$ which can be taken advantage of to create several efficient algorithms. They have also been used to create redundancy check -algorithms known as CRCs, error correction codes such as Reed-Solomon and solve a variety of number theoeretic problems. - -\section{The Barrett Reduction} -The Barrett reduction algorithm \cite{BARRETT} was inspired by fast division algorithms which multiply by the reciprocal to emulate -division. Barretts observation was that the residue $c$ of $a$ modulo $b$ is equal to - -\begin{equation} -c = a - b \cdot \lfloor a/b \rfloor -\end{equation} - -Since algorithms such as modular exponentiation would be using the same modulus extensively, typical DSP\footnote{It is worth noting that Barrett's paper -targeted the DSP56K processor.} intuition would indicate the next step would be to replace $a/b$ by a multiplication by the reciprocal. However, -DSP intuition on its own will not work as these numbers are considerably larger than the precision of common DSP floating point data types. -It would take another common optimization to optimize the algorithm. - -\subsection{Fixed Point Arithmetic} -The trick used to optimize the above equation is based on a technique of emulating floating point data types with fixed precision integers. Fixed -point arithmetic would become very popular as it greatly optimize the ``3d-shooter'' genre of games in the mid 1990s when floating point units were -fairly slow if not unavailable. The idea behind fixed point arithmetic is to take a normal $k$-bit integer data type and break it into $p$-bit -integer and a $q$-bit fraction part (\textit{where $p+q = k$}). - -In this system a $k$-bit integer $n$ would actually represent $n/2^q$. For example, with $q = 4$ the integer $n = 37$ would actually represent the -value $2.3125$. To multiply two fixed point numbers the integers are multiplied using traditional arithmetic and subsequently normalized by -moving the implied decimal point back to where it should be. For example, with $q = 4$ to multiply the integers $9$ and $5$ they must be converted -to fixed point first by multiplying by $2^q$. Let $a = 9(2^q)$ represent the fixed point representation of $9$ and $b = 5(2^q)$ represent the -fixed point representation of $5$. The product $ab$ is equal to $45(2^{2q})$ which when normalized by dividing by $2^q$ produces $45(2^q)$. - -This technique became popular since a normal integer multiplication and logical shift right are the only required operations to perform a multiplication -of two fixed point numbers. Using fixed point arithmetic, division can be easily approximated by multiplying by the reciprocal. If $2^q$ is -equivalent to one than $2^q/b$ is equivalent to the fixed point approximation of $1/b$ using real arithmetic. Using this fact dividing an integer -$a$ by another integer $b$ can be achieved with the following expression. - -\begin{equation} -\lfloor a / b \rfloor \mbox{ }\approx\mbox{ } \lfloor (a \cdot \lfloor 2^q / b \rfloor)/2^q \rfloor -\end{equation} - -The precision of the division is proportional to the value of $q$. If the divisor $b$ is used frequently as is the case with -modular exponentiation pre-computing $2^q/b$ will allow a division to be performed with a multiplication and a right shift. Both operations -are considerably faster than division on most processors. - -Consider dividing $19$ by $5$. The correct result is $\lfloor 19/5 \rfloor = 3$. With $q = 3$ the reciprocal is $\lfloor 2^q/5 \rfloor = 1$ which -leads to a product of $19$ which when divided by $2^q$ produces $2$. However, with $q = 4$ the reciprocal is $\lfloor 2^q/5 \rfloor = 3$ and -the result of the emulated division is $\lfloor 3 \cdot 19 / 2^q \rfloor = 3$ which is correct. The value of $2^q$ must be close to or ideally -larger than the dividend. In effect if $a$ is the dividend then $q$ should allow $0 \le \lfloor a/2^q \rfloor \le 1$ in order for this approach -to work correctly. Plugging this form of divison into the original equation the following modular residue equation arises. - -\begin{equation} -c = a - b \cdot \lfloor (a \cdot \lfloor 2^q / b \rfloor)/2^q \rfloor -\end{equation} - -Using the notation from \cite{BARRETT} the value of $\lfloor 2^q / b \rfloor$ will be represented by the $\mu$ symbol. Using the $\mu$ -variable also helps re-inforce the idea that it is meant to be computed once and re-used. - -\begin{equation} -c = a - b \cdot \lfloor (a \cdot \mu)/2^q \rfloor -\end{equation} - -Provided that $2^q \ge a$ this algorithm will produce a quotient that is either exactly correct or off by a value of one. In the context of Barrett -reduction the value of $a$ is bound by $0 \le a \le (b - 1)^2$ meaning that $2^q \ge b^2$ is sufficient to ensure the reciprocal will have enough -precision. - -Let $n$ represent the number of digits in $b$. This algorithm requires approximately $2n^2$ single precision multiplications to produce the quotient and -another $n^2$ single precision multiplications to find the residue. In total $3n^2$ single precision multiplications are required to -reduce the number. - -For example, if $b = 1179677$ and $q = 41$ ($2^q > b^2$), then the reciprocal $\mu$ is equal to $\lfloor 2^q / b \rfloor = 1864089$. Consider reducing -$a = 180388626447$ modulo $b$ using the above reduction equation. The quotient using the new formula is $\lfloor (a \cdot \mu) / 2^q \rfloor = 152913$. -By subtracting $152913b$ from $a$ the correct residue $a \equiv 677346 \mbox{ (mod }b\mbox{)}$ is found. - -\subsection{Choosing a Radix Point} -Using the fixed point representation a modular reduction can be performed with $3n^2$ single precision multiplications. If that were the best -that could be achieved a full division\footnote{A division requires approximately $O(2cn^2)$ single precision multiplications for a small value of $c$. -See~\ref{sec:division} for further details.} might as well be used in its place. The key to optimizing the reduction is to reduce the precision of -the initial multiplication that finds the quotient. - -Let $a$ represent the number of which the residue is sought. Let $b$ represent the modulus used to find the residue. Let $m$ represent -the number of digits in $b$. For the purposes of this discussion we will assume that the number of digits in $a$ is $2m$, which is generally true if -two $m$-digit numbers have been multiplied. Dividing $a$ by $b$ is the same as dividing a $2m$ digit integer by a $m$ digit integer. Digits below the -$m - 1$'th digit of $a$ will contribute at most a value of $1$ to the quotient because $\beta^k < b$ for any $0 \le k \le m - 1$. Another way to -express this is by re-writing $a$ as two parts. If $a' \equiv a \mbox{ (mod }b^m\mbox{)}$ and $a'' = a - a'$ then -${a \over b} \equiv {{a' + a''} \over b}$ which is equivalent to ${a' \over b} + {a'' \over b}$. Since $a'$ is bound to be less than $b$ the quotient -is bound by $0 \le {a' \over b} < 1$. - -Since the digits of $a'$ do not contribute much to the quotient the observation is that they might as well be zero. However, if the digits -``might as well be zero'' they might as well not be there in the first place. Let $q_0 = \lfloor a/\beta^{m-1} \rfloor$ represent the input -with the irrelevant digits trimmed. Now the modular reduction is trimmed to the almost equivalent equation - -\begin{equation} -c = a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor -\end{equation} - -Note that the original divisor $2^q$ has been replaced with $\beta^{m+1}$ where in this case $q$ is a multiple of $lg(\beta)$. Also note that the -exponent on the divisor when added to the amount $q_0$ was shifted by equals $2m$. If the optimization had not been performed the divisor -would have the exponent $2m$ so in the end the exponents do ``add up''. Using the above equation the quotient -$\lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ can be off from the true quotient by at most two. The original fixed point quotient can be off -by as much as one (\textit{provided the radix point is chosen suitably}) and now that the lower irrelevent digits have been trimmed the quotient -can be off by an additional value of one for a total of at most two. This implies that -$0 \le a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor < 3b$. By first subtracting $b$ times the quotient and then conditionally subtracting -$b$ once or twice the residue is found. - -The quotient is now found using $(m + 1)(m) = m^2 + m$ single precision multiplications and the residue with an additional $m^2$ single -precision multiplications, ignoring the subtractions required. In total $2m^2 + m$ single precision multiplications are required to find the residue. -This is considerably faster than the original attempt. - -For example, let $\beta = 10$ represent the radix of the digits. Let $b = 9999$ represent the modulus which implies $m = 4$. Let $a = 99929878$ -represent the value of which the residue is desired. In this case $q = 8$ since $10^7 < 9999^2$ meaning that $\mu = \lfloor \beta^{q}/b \rfloor = 10001$. -With the new observation the multiplicand for the quotient is equal to $q_0 = \lfloor a / \beta^{m - 1} \rfloor = 99929$. The quotient is then -$\lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor = 9993$. Subtracting $9993b$ from $a$ and the correct residue $a \equiv 9871 \mbox{ (mod }b\mbox{)}$ -is found. - -\subsection{Trimming the Quotient} -So far the reduction algorithm has been optimized from $3m^2$ single precision multiplications down to $2m^2 + m$ single precision multiplications. As -it stands now the algorithm is already fairly fast compared to a full integer division algorithm. However, there is still room for -optimization. - -After the first multiplication inside the quotient ($q_0 \cdot \mu$) the value is shifted right by $m + 1$ places effectively nullifying the lower -half of the product. It would be nice to be able to remove those digits from the product to effectively cut down the number of single precision -multiplications. If the number of digits in the modulus $m$ is far less than $\beta$ a full product is not required for the algorithm to work properly. -In fact the lower $m - 2$ digits will not affect the upper half of the product at all and do not need to be computed. - -The value of $\mu$ is a $m$-digit number and $q_0$ is a $m + 1$ digit number. Using a full multiplier $(m + 1)(m) = m^2 + m$ single precision -multiplications would be required. Using a multiplier that will only produce digits at and above the $m - 1$'th digit reduces the number -of single precision multiplications to ${m^2 + m} \over 2$ single precision multiplications. - -\subsection{Trimming the Residue} -After the quotient has been calculated it is used to reduce the input. As previously noted the algorithm is not exact and it can be off by a small -multiple of the modulus, that is $0 \le a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor < 3b$. If $b$ is $m$ digits than the -result of reduction equation is a value of at most $m + 1$ digits (\textit{provided $3 < \beta$}) implying that the upper $m - 1$ digits are -implicitly zero. - -The next optimization arises from this very fact. Instead of computing $b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ using a full -$O(m^2)$ multiplication algorithm only the lower $m+1$ digits of the product have to be computed. Similarly the value of $a$ can -be reduced modulo $\beta^{m+1}$ before the multiple of $b$ is subtracted which simplifes the subtraction as well. A multiplication that produces -only the lower $m+1$ digits requires ${m^2 + 3m - 2} \over 2$ single precision multiplications. - -With both optimizations in place the algorithm is the algorithm Barrett proposed. It requires $m^2 + 2m - 1$ single precision multiplications which -is considerably faster than the straightforward $3m^2$ method. - -\subsection{The Barrett Algorithm} -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_reduce}. \\ -\textbf{Input}. mp\_int $a$, mp\_int $b$ and $\mu = \lfloor \beta^{2m}/b \rfloor, m = \lceil lg_{\beta}(b) \rceil, (0 \le a < b^2, b > 1)$ \\ -\textbf{Output}. $a \mbox{ (mod }b\mbox{)}$ \\ -\hline \\ -Let $m$ represent the number of digits in $b$. \\ -1. Make a copy of $a$ and store it in $q$. (\textit{mp\_init\_copy}) \\ -2. $q \leftarrow \lfloor q / \beta^{m - 1} \rfloor$ (\textit{mp\_rshd}) \\ -\\ -Produce the quotient. \\ -3. $q \leftarrow q \cdot \mu$ (\textit{note: only produce digits at or above $m-1$}) \\ -4. $q \leftarrow \lfloor q / \beta^{m + 1} \rfloor$ \\ -\\ -Subtract the multiple of modulus from the input. \\ -5. $a \leftarrow a \mbox{ (mod }\beta^{m+1}\mbox{)}$ (\textit{mp\_mod\_2d}) \\ -6. $q \leftarrow q \cdot b \mbox{ (mod }\beta^{m+1}\mbox{)}$ (\textit{s\_mp\_mul\_digs}) \\ -7. $a \leftarrow a - q$ (\textit{mp\_sub}) \\ -\\ -Add $\beta^{m+1}$ if a carry occured. \\ -8. If $a < 0$ then (\textit{mp\_cmp\_d}) \\ -\hspace{3mm}8.1 $q \leftarrow 1$ (\textit{mp\_set}) \\ -\hspace{3mm}8.2 $q \leftarrow q \cdot \beta^{m+1}$ (\textit{mp\_lshd}) \\ -\hspace{3mm}8.3 $a \leftarrow a + q$ \\ -\\ -Now subtract the modulus if the residue is too large (e.g. quotient too small). \\ -9. While $a \ge b$ do (\textit{mp\_cmp}) \\ -\hspace{3mm}9.1 $c \leftarrow a - b$ \\ -10. Clear $q$. \\ -11. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_reduce} -\end{figure} - -\textbf{Algorithm mp\_reduce.} -This algorithm will reduce the input $a$ modulo $b$ in place using the Barrett algorithm. It is loosely based on algorithm 14.42 of HAC -\cite[pp. 602]{HAC} which is based on the paper from Paul Barrett \cite{BARRETT}. The algorithm has several restrictions and assumptions which must -be adhered to for the algorithm to work. - -First the modulus $b$ is assumed to be positive and greater than one. If the modulus were less than or equal to one than subtracting -a multiple of it would either accomplish nothing or actually enlarge the input. The input $a$ must be in the range $0 \le a < b^2$ in order -for the quotient to have enough precision. If $a$ is the product of two numbers that were already reduced modulo $b$, this will not be a problem. -Technically the algorithm will still work if $a \ge b^2$ but it will take much longer to finish. The value of $\mu$ is passed as an argument to this -algorithm and is assumed to be calculated and stored before the algorithm is used. - -Recall that the multiplication for the quotient on step 3 must only produce digits at or above the $m-1$'th position. An algorithm called -$s\_mp\_mul\_high\_digs$ which has not been presented is used to accomplish this task. The algorithm is based on $s\_mp\_mul\_digs$ except that -instead of stopping at a given level of precision it starts at a given level of precision. This optimal algorithm can only be used if the number -of digits in $b$ is very much smaller than $\beta$. - -While it is known that -$a \ge b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ only the lower $m+1$ digits are being used to compute the residue, so an implied -``borrow'' from the higher digits might leave a negative result. After the multiple of the modulus has been subtracted from $a$ the residue must be -fixed up in case it is negative. The invariant $\beta^{m+1}$ must be added to the residue to make it positive again. - -The while loop at step 9 will subtract $b$ until the residue is less than $b$. If the algorithm is performed correctly this step is -performed at most twice, and on average once. However, if $a \ge b^2$ than it will iterate substantially more times than it should. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_reduce.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The first multiplication that determines the quotient can be performed by only producing the digits from $m - 1$ and up. This essentially halves -the number of single precision multiplications required. However, the optimization is only safe if $\beta$ is much larger than the number of digits -in the modulus. In the source code this is evaluated on lines 36 to 44 where algorithm s\_mp\_mul\_high\_digs is used when it is -safe to do so. - -\subsection{The Barrett Setup Algorithm} -In order to use algorithm mp\_reduce the value of $\mu$ must be calculated in advance. Ideally this value should be computed once and stored for -future use so that the Barrett algorithm can be used without delay. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_reduce\_setup}. \\ -\textbf{Input}. mp\_int $a$ ($a > 1$) \\ -\textbf{Output}. $\mu \leftarrow \lfloor \beta^{2m}/a \rfloor$ \\ -\hline \\ -1. $\mu \leftarrow 2^{2 \cdot lg(\beta) \cdot m}$ (\textit{mp\_2expt}) \\ -2. $\mu \leftarrow \lfloor \mu / b \rfloor$ (\textit{mp\_div}) \\ -3. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_reduce\_setup} -\end{figure} - -\textbf{Algorithm mp\_reduce\_setup.} -This algorithm computes the reciprocal $\mu$ required for Barrett reduction. First $\beta^{2m}$ is calculated as $2^{2 \cdot lg(\beta) \cdot m}$ which -is equivalent and much faster. The final value is computed by taking the integer quotient of $\lfloor \mu / b \rfloor$. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_reduce\_setup.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -This simple routine calculates the reciprocal $\mu$ required by Barrett reduction. Note the extended usage of algorithm mp\_div where the variable -which would received the remainder is passed as NULL. As will be discussed in~\ref{sec:division} the division routine allows both the quotient and the -remainder to be passed as NULL meaning to ignore the value. - -\section{The Montgomery Reduction} -Montgomery reduction\footnote{Thanks to Niels Ferguson for his insightful explanation of the algorithm.} \cite{MONT} is by far the most interesting -form of reduction in common use. It computes a modular residue which is not actually equal to the residue of the input yet instead equal to a -residue times a constant. However, as perplexing as this may sound the algorithm is relatively simple and very efficient. - -Throughout this entire section the variable $n$ will represent the modulus used to form the residue. As will be discussed shortly the value of -$n$ must be odd. The variable $x$ will represent the quantity of which the residue is sought. Similar to the Barrett algorithm the input -is restricted to $0 \le x < n^2$. To begin the description some simple number theory facts must be established. - -\textbf{Fact 1.} Adding $n$ to $x$ does not change the residue since in effect it adds one to the quotient $\lfloor x / n \rfloor$. Another way -to explain this is that $n$ is (\textit{or multiples of $n$ are}) congruent to zero modulo $n$. Adding zero will not change the value of the residue. - -\textbf{Fact 2.} If $x$ is even then performing a division by two in $\Z$ is congruent to $x \cdot 2^{-1} \mbox{ (mod }n\mbox{)}$. Actually -this is an application of the fact that if $x$ is evenly divisible by any $k \in \Z$ then division in $\Z$ will be congruent to -multiplication by $k^{-1}$ modulo $n$. - -From these two simple facts the following simple algorithm can be derived. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Montgomery Reduction}. \\ -\textbf{Input}. Integer $x$, $n$ and $k$ \\ -\textbf{Output}. $2^{-k}x \mbox{ (mod }n\mbox{)}$ \\ -\hline \\ -1. for $t$ from $1$ to $k$ do \\ -\hspace{3mm}1.1 If $x$ is odd then \\ -\hspace{6mm}1.1.1 $x \leftarrow x + n$ \\ -\hspace{3mm}1.2 $x \leftarrow x/2$ \\ -2. Return $x$. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Montgomery Reduction} -\end{figure} - -The algorithm reduces the input one bit at a time using the two congruencies stated previously. Inside the loop $n$, which is odd, is -added to $x$ if $x$ is odd. This forces $x$ to be even which allows the division by two in $\Z$ to be congruent to a modular division by two. Since -$x$ is assumed to be initially much larger than $n$ the addition of $n$ will contribute an insignificant magnitude to $x$. Let $r$ represent the -final result of the Montgomery algorithm. If $k > lg(n)$ and $0 \le x < n^2$ then the final result is limited to -$0 \le r < \lfloor x/2^k \rfloor + n$. As a result at most a single subtraction is required to get the residue desired. - -\begin{figure}[here] -\begin{small} -\begin{center} -\begin{tabular}{|c|l|} -\hline \textbf{Step number ($t$)} & \textbf{Result ($x$)} \\ -\hline $1$ & $x + n = 5812$, $x/2 = 2906$ \\ -\hline $2$ & $x/2 = 1453$ \\ -\hline $3$ & $x + n = 1710$, $x/2 = 855$ \\ -\hline $4$ & $x + n = 1112$, $x/2 = 556$ \\ -\hline $5$ & $x/2 = 278$ \\ -\hline $6$ & $x/2 = 139$ \\ -\hline $7$ & $x + n = 396$, $x/2 = 198$ \\ -\hline $8$ & $x/2 = 99$ \\ -\hline $9$ & $x + n = 356$, $x/2 = 178$ \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Example of Montgomery Reduction (I)} -\label{fig:MONT1} -\end{figure} - -Consider the example in figure~\ref{fig:MONT1} which reduces $x = 5555$ modulo $n = 257$ when $k = 9$ (note $\beta^k = 512$ which is larger than $n$). The result of -the algorithm $r = 178$ is congruent to the value of $2^{-9} \cdot 5555 \mbox{ (mod }257\mbox{)}$. When $r$ is multiplied by $2^9$ modulo $257$ the correct residue -$r \equiv 158$ is produced. - -Let $k = \lfloor lg(n) \rfloor + 1$ represent the number of bits in $n$. The current algorithm requires $2k^2$ single precision shifts -and $k^2$ single precision additions. At this rate the algorithm is most certainly slower than Barrett reduction and not terribly useful. -Fortunately there exists an alternative representation of the algorithm. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Montgomery Reduction} (modified I). \\ -\textbf{Input}. Integer $x$, $n$ and $k$ ($2^k > n$) \\ -\textbf{Output}. $2^{-k}x \mbox{ (mod }n\mbox{)}$ \\ -\hline \\ -1. for $t$ from $1$ to $k$ do \\ -\hspace{3mm}1.1 If the $t$'th bit of $x$ is one then \\ -\hspace{6mm}1.1.1 $x \leftarrow x + 2^tn$ \\ -2. Return $x/2^k$. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Montgomery Reduction (modified I)} -\end{figure} - -This algorithm is equivalent since $2^tn$ is a multiple of $n$ and the lower $k$ bits of $x$ are zero by step 2. The number of single -precision shifts has now been reduced from $2k^2$ to $k^2 + k$ which is only a small improvement. - -\begin{figure}[here] -\begin{small} -\begin{center} -\begin{tabular}{|c|l|r|} -\hline \textbf{Step number ($t$)} & \textbf{Result ($x$)} & \textbf{Result ($x$) in Binary} \\ -\hline -- & $5555$ & $1010110110011$ \\ -\hline $1$ & $x + 2^{0}n = 5812$ & $1011010110100$ \\ -\hline $2$ & $5812$ & $1011010110100$ \\ -\hline $3$ & $x + 2^{2}n = 6840$ & $1101010111000$ \\ -\hline $4$ & $x + 2^{3}n = 8896$ & $10001011000000$ \\ -\hline $5$ & $8896$ & $10001011000000$ \\ -\hline $6$ & $8896$ & $10001011000000$ \\ -\hline $7$ & $x + 2^{6}n = 25344$ & $110001100000000$ \\ -\hline $8$ & $25344$ & $110001100000000$ \\ -\hline $9$ & $x + 2^{7}n = 91136$ & $10110010000000000$ \\ -\hline -- & $x/2^k = 178$ & \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Example of Montgomery Reduction (II)} -\label{fig:MONT2} -\end{figure} - -Figure~\ref{fig:MONT2} demonstrates the modified algorithm reducing $x = 5555$ modulo $n = 257$ with $k = 9$. -With this algorithm a single shift right at the end is the only right shift required to reduce the input instead of $k$ right shifts inside the -loop. Note that for the iterations $t = 2, 5, 6$ and $8$ where the result $x$ is not changed. In those iterations the $t$'th bit of $x$ is -zero and the appropriate multiple of $n$ does not need to be added to force the $t$'th bit of the result to zero. - -\subsection{Digit Based Montgomery Reduction} -Instead of computing the reduction on a bit-by-bit basis it is actually much faster to compute it on digit-by-digit basis. Consider the -previous algorithm re-written to compute the Montgomery reduction in this new fashion. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Montgomery Reduction} (modified II). \\ -\textbf{Input}. Integer $x$, $n$ and $k$ ($\beta^k > n$) \\ -\textbf{Output}. $\beta^{-k}x \mbox{ (mod }n\mbox{)}$ \\ -\hline \\ -1. for $t$ from $0$ to $k - 1$ do \\ -\hspace{3mm}1.1 $x \leftarrow x + \mu n \beta^t$ \\ -2. Return $x/\beta^k$. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Montgomery Reduction (modified II)} -\end{figure} - -The value $\mu n \beta^t$ is a multiple of the modulus $n$ meaning that it will not change the residue. If the first digit of -the value $\mu n \beta^t$ equals the negative (modulo $\beta$) of the $t$'th digit of $x$ then the addition will result in a zero digit. This -problem breaks down to solving the following congruency. - -\begin{center} -\begin{tabular}{rcl} -$x_t + \mu n_0$ & $\equiv$ & $0 \mbox{ (mod }\beta\mbox{)}$ \\ -$\mu n_0$ & $\equiv$ & $-x_t \mbox{ (mod }\beta\mbox{)}$ \\ -$\mu$ & $\equiv$ & $-x_t/n_0 \mbox{ (mod }\beta\mbox{)}$ \\ -\end{tabular} -\end{center} - -In each iteration of the loop on step 1 a new value of $\mu$ must be calculated. The value of $-1/n_0 \mbox{ (mod }\beta\mbox{)}$ is used -extensively in this algorithm and should be precomputed. Let $\rho$ represent the negative of the modular inverse of $n_0$ modulo $\beta$. - -For example, let $\beta = 10$ represent the radix. Let $n = 17$ represent the modulus which implies $k = 2$ and $\rho \equiv 7$. Let $x = 33$ -represent the value to reduce. - -\newpage\begin{figure} -\begin{center} -\begin{tabular}{|c|c|c|} -\hline \textbf{Step ($t$)} & \textbf{Value of $x$} & \textbf{Value of $\mu$} \\ -\hline -- & $33$ & --\\ -\hline $0$ & $33 + \mu n = 50$ & $1$ \\ -\hline $1$ & $50 + \mu n \beta = 900$ & $5$ \\ -\hline -\end{tabular} -\end{center} -\caption{Example of Montgomery Reduction} -\end{figure} - -The final result $900$ is then divided by $\beta^k$ to produce the final result $9$. The first observation is that $9 \nequiv x \mbox{ (mod }n\mbox{)}$ -which implies the result is not the modular residue of $x$ modulo $n$. However, recall that the residue is actually multiplied by $\beta^{-k}$ in -the algorithm. To get the true residue the value must be multiplied by $\beta^k$. In this case $\beta^k \equiv 15 \mbox{ (mod }n\mbox{)}$ and -the correct residue is $9 \cdot 15 \equiv 16 \mbox{ (mod }n\mbox{)}$. - -\subsection{Baseline Montgomery Reduction} -The baseline Montgomery reduction algorithm will produce the residue for any size input. It is designed to be a catch-all algororithm for -Montgomery reductions. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_montgomery\_reduce}. \\ -\textbf{Input}. mp\_int $x$, mp\_int $n$ and a digit $\rho \equiv -1/n_0 \mbox{ (mod }n\mbox{)}$. \\ -\hspace{11.5mm}($0 \le x < n^2, n > 1, (n, \beta) = 1, \beta^k > n$) \\ -\textbf{Output}. $\beta^{-k}x \mbox{ (mod }n\mbox{)}$ \\ -\hline \\ -1. $digs \leftarrow 2n.used + 1$ \\ -2. If $digs < MP\_ARRAY$ and $m.used < \delta$ then \\ -\hspace{3mm}2.1 Use algorithm fast\_mp\_montgomery\_reduce instead. \\ -\\ -Setup $x$ for the reduction. \\ -3. If $x.alloc < digs$ then grow $x$ to $digs$ digits. \\ -4. $x.used \leftarrow digs$ \\ -\\ -Eliminate the lower $k$ digits. \\ -5. For $ix$ from $0$ to $k - 1$ do \\ -\hspace{3mm}5.1 $\mu \leftarrow x_{ix} \cdot \rho \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{3mm}5.2 $u \leftarrow 0$ \\ -\hspace{3mm}5.3 For $iy$ from $0$ to $k - 1$ do \\ -\hspace{6mm}5.3.1 $\hat r \leftarrow \mu n_{iy} + x_{ix + iy} + u$ \\ -\hspace{6mm}5.3.2 $x_{ix + iy} \leftarrow \hat r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{6mm}5.3.3 $u \leftarrow \lfloor \hat r / \beta \rfloor$ \\ -\hspace{3mm}5.4 While $u > 0$ do \\ -\hspace{6mm}5.4.1 $iy \leftarrow iy + 1$ \\ -\hspace{6mm}5.4.2 $x_{ix + iy} \leftarrow x_{ix + iy} + u$ \\ -\hspace{6mm}5.4.3 $u \leftarrow \lfloor x_{ix+iy} / \beta \rfloor$ \\ -\hspace{6mm}5.4.4 $x_{ix + iy} \leftarrow x_{ix+iy} \mbox{ (mod }\beta\mbox{)}$ \\ -\\ -Divide by $\beta^k$ and fix up as required. \\ -6. $x \leftarrow \lfloor x / \beta^k \rfloor$ \\ -7. If $x \ge n$ then \\ -\hspace{3mm}7.1 $x \leftarrow x - n$ \\ -8. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_montgomery\_reduce} -\end{figure} - -\textbf{Algorithm mp\_montgomery\_reduce.} -This algorithm reduces the input $x$ modulo $n$ in place using the Montgomery reduction algorithm. The algorithm is loosely based -on algorithm 14.32 of \cite[pp.601]{HAC} except it merges the multiplication of $\mu n \beta^t$ with the addition in the inner loop. The -restrictions on this algorithm are fairly easy to adapt to. First $0 \le x < n^2$ bounds the input to numbers in the same range as -for the Barrett algorithm. Additionally if $n > 1$ and $n$ is odd there will exist a modular inverse $\rho$. $\rho$ must be calculated in -advance of this algorithm. Finally the variable $k$ is fixed and a pseudonym for $n.used$. - -Step 2 decides whether a faster Montgomery algorithm can be used. It is based on the Comba technique meaning that there are limits on -the size of the input. This algorithm is discussed in sub-section 6.3.3. - -Step 5 is the main reduction loop of the algorithm. The value of $\mu$ is calculated once per iteration in the outer loop. The inner loop -calculates $x + \mu n \beta^{ix}$ by multiplying $\mu n$ and adding the result to $x$ shifted by $ix$ digits. Both the addition and -multiplication are performed in the same loop to save time and memory. Step 5.4 will handle any additional carries that escape the inner loop. - -Using a quick inspection this algorithm requires $n$ single precision multiplications for the outer loop and $n^2$ single precision multiplications -in the inner loop. In total $n^2 + n$ single precision multiplications which compares favourably to Barrett at $n^2 + 2n - 1$ single precision -multiplications. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_montgomery\_reduce.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -This is the baseline implementation of the Montgomery reduction algorithm. Lines 31 to 36 determine if the Comba based -routine can be used instead. Line 47 computes the value of $\mu$ for that particular iteration of the outer loop. - -The multiplication $\mu n \beta^{ix}$ is performed in one step in the inner loop. The alias $tmpx$ refers to the $ix$'th digit of $x$ and -the alias $tmpn$ refers to the modulus $n$. - -\subsection{Faster ``Comba'' Montgomery Reduction} - -The Montgomery reduction requires fewer single precision multiplications than a Barrett reduction, however it is much slower due to the serial -nature of the inner loop. The Barrett reduction algorithm requires two slightly modified multipliers which can be implemented with the Comba -technique. The Montgomery reduction algorithm cannot directly use the Comba technique to any significant advantage since the inner loop calculates -a $k \times 1$ product $k$ times. - -The biggest obstacle is that at the $ix$'th iteration of the outer loop the value of $x_{ix}$ is required to calculate $\mu$. This means the -carries from $0$ to $ix - 1$ must have been propagated upwards to form a valid $ix$'th digit. The solution as it turns out is very simple. -Perform a Comba like multiplier and inside the outer loop just after the inner loop fix up the $ix + 1$'th digit by forwarding the carry. - -With this change in place the Montgomery reduction algorithm can be performed with a Comba style multiplication loop which substantially increases -the speed of the algorithm. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{fast\_mp\_montgomery\_reduce}. \\ -\textbf{Input}. mp\_int $x$, mp\_int $n$ and a digit $\rho \equiv -1/n_0 \mbox{ (mod }n\mbox{)}$. \\ -\hspace{11.5mm}($0 \le x < n^2, n > 1, (n, \beta) = 1, \beta^k > n$) \\ -\textbf{Output}. $\beta^{-k}x \mbox{ (mod }n\mbox{)}$ \\ -\hline \\ -Place an array of \textbf{MP\_WARRAY} mp\_word variables called $\hat W$ on the stack. \\ -1. if $x.alloc < n.used + 1$ then grow $x$ to $n.used + 1$ digits. \\ -Copy the digits of $x$ into the array $\hat W$ \\ -2. For $ix$ from $0$ to $x.used - 1$ do \\ -\hspace{3mm}2.1 $\hat W_{ix} \leftarrow x_{ix}$ \\ -3. For $ix$ from $x.used$ to $2n.used - 1$ do \\ -\hspace{3mm}3.1 $\hat W_{ix} \leftarrow 0$ \\ -Elimiate the lower $k$ digits. \\ -4. for $ix$ from $0$ to $n.used - 1$ do \\ -\hspace{3mm}4.1 $\mu \leftarrow \hat W_{ix} \cdot \rho \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{3mm}4.2 For $iy$ from $0$ to $n.used - 1$ do \\ -\hspace{6mm}4.2.1 $\hat W_{iy + ix} \leftarrow \hat W_{iy + ix} + \mu \cdot n_{iy}$ \\ -\hspace{3mm}4.3 $\hat W_{ix + 1} \leftarrow \hat W_{ix + 1} + \lfloor \hat W_{ix} / \beta \rfloor$ \\ -Propagate carries upwards. \\ -5. for $ix$ from $n.used$ to $2n.used + 1$ do \\ -\hspace{3mm}5.1 $\hat W_{ix + 1} \leftarrow \hat W_{ix + 1} + \lfloor \hat W_{ix} / \beta \rfloor$ \\ -Shift right and reduce modulo $\beta$ simultaneously. \\ -6. for $ix$ from $0$ to $n.used + 1$ do \\ -\hspace{3mm}6.1 $x_{ix} \leftarrow \hat W_{ix + n.used} \mbox{ (mod }\beta\mbox{)}$ \\ -Zero excess digits and fixup $x$. \\ -7. if $x.used > n.used + 1$ then do \\ -\hspace{3mm}7.1 for $ix$ from $n.used + 1$ to $x.used - 1$ do \\ -\hspace{6mm}7.1.1 $x_{ix} \leftarrow 0$ \\ -8. $x.used \leftarrow n.used + 1$ \\ -9. Clamp excessive digits of $x$. \\ -10. If $x \ge n$ then \\ -\hspace{3mm}10.1 $x \leftarrow x - n$ \\ -11. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm fast\_mp\_montgomery\_reduce} -\end{figure} - -\textbf{Algorithm fast\_mp\_montgomery\_reduce.} -This algorithm will compute the Montgomery reduction of $x$ modulo $n$ using the Comba technique. It is on most computer platforms significantly -faster than algorithm mp\_montgomery\_reduce and algorithm mp\_reduce (\textit{Barrett reduction}). The algorithm has the same restrictions -on the input as the baseline reduction algorithm. An additional two restrictions are imposed on this algorithm. The number of digits $k$ in the -the modulus $n$ must not violate $MP\_WARRAY > 2k +1$ and $n < \delta$. When $\beta = 2^{28}$ this algorithm can be used to reduce modulo -a modulus of at most $3,556$ bits in length. - -As in the other Comba reduction algorithms there is a $\hat W$ array which stores the columns of the product. It is initially filled with the -contents of $x$ with the excess digits zeroed. The reduction loop is very similar the to the baseline loop at heart. The multiplication on step -4.1 can be single precision only since $ab \mbox{ (mod }\beta\mbox{)} \equiv (a \mbox{ mod }\beta)(b \mbox{ mod }\beta)$. Some multipliers such -as those on the ARM processors take a variable length time to complete depending on the number of bytes of result it must produce. By performing -a single precision multiplication instead half the amount of time is spent. - -Also note that digit $\hat W_{ix}$ must have the carry from the $ix - 1$'th digit propagated upwards in order for this to work. That is what step -4.3 will do. In effect over the $n.used$ iterations of the outer loop the $n.used$'th lower columns all have the their carries propagated forwards. Note -how the upper bits of those same words are not reduced modulo $\beta$. This is because those values will be discarded shortly and there is no -point. - -Step 5 will propagate the remainder of the carries upwards. On step 6 the columns are reduced modulo $\beta$ and shifted simultaneously as they are -stored in the destination $x$. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_fast\_mp\_montgomery\_reduce.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The $\hat W$ array is first filled with digits of $x$ on line 48 then the rest of the digits are zeroed on line 55. Both loops share -the same alias variables to make the code easier to read. - -The value of $\mu$ is calculated in an interesting fashion. First the value $\hat W_{ix}$ is reduced modulo $\beta$ and cast to a mp\_digit. This -forces the compiler to use a single precision multiplication and prevents any concerns about loss of precision. Line 110 fixes the carry -for the next iteration of the loop by propagating the carry from $\hat W_{ix}$ to $\hat W_{ix+1}$. - -The for loop on line 109 propagates the rest of the carries upwards through the columns. The for loop on line 126 reduces the columns -modulo $\beta$ and shifts them $k$ places at the same time. The alias $\_ \hat W$ actually refers to the array $\hat W$ starting at the $n.used$'th -digit, that is $\_ \hat W_{t} = \hat W_{n.used + t}$. - -\subsection{Montgomery Setup} -To calculate the variable $\rho$ a relatively simple algorithm will be required. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_montgomery\_setup}. \\ -\textbf{Input}. mp\_int $n$ ($n > 1$ and $(n, 2) = 1$) \\ -\textbf{Output}. $\rho \equiv -1/n_0 \mbox{ (mod }\beta\mbox{)}$ \\ -\hline \\ -1. $b \leftarrow n_0$ \\ -2. If $b$ is even return(\textit{MP\_VAL}) \\ -3. $x \leftarrow (((b + 2) \mbox{ AND } 4) << 1) + b$ \\ -4. for $k$ from 0 to $\lceil lg(lg(\beta)) \rceil - 2$ do \\ -\hspace{3mm}4.1 $x \leftarrow x \cdot (2 - bx)$ \\ -5. $\rho \leftarrow \beta - x \mbox{ (mod }\beta\mbox{)}$ \\ -6. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_montgomery\_setup} -\end{figure} - -\textbf{Algorithm mp\_montgomery\_setup.} -This algorithm will calculate the value of $\rho$ required within the Montgomery reduction algorithms. It uses a very interesting trick -to calculate $1/n_0$ when $\beta$ is a power of two. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_montgomery\_setup.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -This source code computes the value of $\rho$ required to perform Montgomery reduction. It has been modified to avoid performing excess -multiplications when $\beta$ is not the default 28-bits. - -\section{The Diminished Radix Algorithm} -The Diminished Radix method of modular reduction \cite{DRMET} is a fairly clever technique which can be more efficient than either the Barrett -or Montgomery methods for certain forms of moduli. The technique is based on the following simple congruence. - -\begin{equation} -(x \mbox{ mod } n) + k \lfloor x / n \rfloor \equiv x \mbox{ (mod }(n - k)\mbox{)} -\end{equation} - -This observation was used in the MMB \cite{MMB} block cipher to create a diffusion primitive. It used the fact that if $n = 2^{31}$ and $k=1$ that -then a x86 multiplier could produce the 62-bit product and use the ``shrd'' instruction to perform a double-precision right shift. The proof -of the above equation is very simple. First write $x$ in the product form. - -\begin{equation} -x = qn + r -\end{equation} - -Now reduce both sides modulo $(n - k)$. - -\begin{equation} -x \equiv qk + r \mbox{ (mod }(n-k)\mbox{)} -\end{equation} - -The variable $n$ reduces modulo $n - k$ to $k$. By putting $q = \lfloor x/n \rfloor$ and $r = x \mbox{ mod } n$ -into the equation the original congruence is reproduced, thus concluding the proof. The following algorithm is based on this observation. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Diminished Radix Reduction}. \\ -\textbf{Input}. Integer $x$, $n$, $k$ \\ -\textbf{Output}. $x \mbox{ mod } (n - k)$ \\ -\hline \\ -1. $q \leftarrow \lfloor x / n \rfloor$ \\ -2. $q \leftarrow k \cdot q$ \\ -3. $x \leftarrow x \mbox{ (mod }n\mbox{)}$ \\ -4. $x \leftarrow x + q$ \\ -5. If $x \ge (n - k)$ then \\ -\hspace{3mm}5.1 $x \leftarrow x - (n - k)$ \\ -\hspace{3mm}5.2 Goto step 1. \\ -6. Return $x$ \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Diminished Radix Reduction} -\label{fig:DR} -\end{figure} - -This algorithm will reduce $x$ modulo $n - k$ and return the residue. If $0 \le x < (n - k)^2$ then the algorithm will loop almost always -once or twice and occasionally three times. For simplicity sake the value of $x$ is bounded by the following simple polynomial. - -\begin{equation} -0 \le x < n^2 + k^2 - 2nk -\end{equation} - -The true bound is $0 \le x < (n - k - 1)^2$ but this has quite a few more terms. The value of $q$ after step 1 is bounded by the following. - -\begin{equation} -q < n - 2k - k^2/n -\end{equation} - -Since $k^2$ is going to be considerably smaller than $n$ that term will always be zero. The value of $x$ after step 3 is bounded trivially as -$0 \le x < n$. By step four the sum $x + q$ is bounded by - -\begin{equation} -0 \le q + x < (k + 1)n - 2k^2 - 1 -\end{equation} - -With a second pass $q$ will be loosely bounded by $0 \le q < k^2$ after step 2 while $x$ will still be loosely bounded by $0 \le x < n$ after step 3. After the second pass it is highly unlike that the -sum in step 4 will exceed $n - k$. In practice fewer than three passes of the algorithm are required to reduce virtually every input in the -range $0 \le x < (n - k - 1)^2$. - -\begin{figure} -\begin{small} -\begin{center} -\begin{tabular}{|l|} -\hline -$x = 123456789, n = 256, k = 3$ \\ -\hline $q \leftarrow \lfloor x/n \rfloor = 482253$ \\ -$q \leftarrow q*k = 1446759$ \\ -$x \leftarrow x \mbox{ mod } n = 21$ \\ -$x \leftarrow x + q = 1446780$ \\ -$x \leftarrow x - (n - k) = 1446527$ \\ -\hline -$q \leftarrow \lfloor x/n \rfloor = 5650$ \\ -$q \leftarrow q*k = 16950$ \\ -$x \leftarrow x \mbox{ mod } n = 127$ \\ -$x \leftarrow x + q = 17077$ \\ -$x \leftarrow x - (n - k) = 16824$ \\ -\hline -$q \leftarrow \lfloor x/n \rfloor = 65$ \\ -$q \leftarrow q*k = 195$ \\ -$x \leftarrow x \mbox{ mod } n = 184$ \\ -$x \leftarrow x + q = 379$ \\ -$x \leftarrow x - (n - k) = 126$ \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Example Diminished Radix Reduction} -\label{fig:EXDR} -\end{figure} - -Figure~\ref{fig:EXDR} demonstrates the reduction of $x = 123456789$ modulo $n - k = 253$ when $n = 256$ and $k = 3$. Note that even while $x$ -is considerably larger than $(n - k - 1)^2 = 63504$ the algorithm still converges on the modular residue exceedingly fast. In this case only -three passes were required to find the residue $x \equiv 126$. - - -\subsection{Choice of Moduli} -On the surface this algorithm looks like a very expensive algorithm. It requires a couple of subtractions followed by multiplication and other -modular reductions. The usefulness of this algorithm becomes exceedingly clear when an appropriate modulus is chosen. - -Division in general is a very expensive operation to perform. The one exception is when the division is by a power of the radix of representation used. -Division by ten for example is simple for pencil and paper mathematics since it amounts to shifting the decimal place to the right. Similarly division -by two (\textit{or powers of two}) is very simple for binary computers to perform. It would therefore seem logical to choose $n$ of the form $2^p$ -which would imply that $\lfloor x / n \rfloor$ is a simple shift of $x$ right $p$ bits. - -However, there is one operation related to division of power of twos that is even faster than this. If $n = \beta^p$ then the division may be -performed by moving whole digits to the right $p$ places. In practice division by $\beta^p$ is much faster than division by $2^p$ for any $p$. -Also with the choice of $n = \beta^p$ reducing $x$ modulo $n$ merely requires zeroing the digits above the $p-1$'th digit of $x$. - -Throughout the next section the term ``restricted modulus'' will refer to a modulus of the form $\beta^p - k$ whereas the term ``unrestricted -modulus'' will refer to a modulus of the form $2^p - k$. The word ``restricted'' in this case refers to the fact that it is based on the -$2^p$ logic except $p$ must be a multiple of $lg(\beta)$. - -\subsection{Choice of $k$} -Now that division and reduction (\textit{step 1 and 3 of figure~\ref{fig:DR}}) have been optimized to simple digit operations the multiplication by $k$ -in step 2 is the most expensive operation. Fortunately the choice of $k$ is not terribly limited. For all intents and purposes it might -as well be a single digit. The smaller the value of $k$ is the faster the algorithm will be. - -\subsection{Restricted Diminished Radix Reduction} -The restricted Diminished Radix algorithm can quickly reduce an input modulo a modulus of the form $n = \beta^p - k$. This algorithm can reduce -an input $x$ within the range $0 \le x < n^2$ using only a couple passes of the algorithm demonstrated in figure~\ref{fig:DR}. The implementation -of this algorithm has been optimized to avoid additional overhead associated with a division by $\beta^p$, the multiplication by $k$ or the addition -of $x$ and $q$. The resulting algorithm is very efficient and can lead to substantial improvements over Barrett and Montgomery reduction when modular -exponentiations are performed. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_dr\_reduce}. \\ -\textbf{Input}. mp\_int $x$, $n$ and a mp\_digit $k = \beta - n_0$ \\ -\hspace{11.5mm}($0 \le x < n^2$, $n > 1$, $0 < k < \beta$) \\ -\textbf{Output}. $x \mbox{ mod } n$ \\ -\hline \\ -1. $m \leftarrow n.used$ \\ -2. If $x.alloc < 2m$ then grow $x$ to $2m$ digits. \\ -3. $\mu \leftarrow 0$ \\ -4. for $i$ from $0$ to $m - 1$ do \\ -\hspace{3mm}4.1 $\hat r \leftarrow k \cdot x_{m+i} + x_{i} + \mu$ \\ -\hspace{3mm}4.2 $x_{i} \leftarrow \hat r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{3mm}4.3 $\mu \leftarrow \lfloor \hat r / \beta \rfloor$ \\ -5. $x_{m} \leftarrow \mu$ \\ -6. for $i$ from $m + 1$ to $x.used - 1$ do \\ -\hspace{3mm}6.1 $x_{i} \leftarrow 0$ \\ -7. Clamp excess digits of $x$. \\ -8. If $x \ge n$ then \\ -\hspace{3mm}8.1 $x \leftarrow x - n$ \\ -\hspace{3mm}8.2 Goto step 3. \\ -9. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_dr\_reduce} -\end{figure} - -\textbf{Algorithm mp\_dr\_reduce.} -This algorithm will perform the Dimished Radix reduction of $x$ modulo $n$. It has similar restrictions to that of the Barrett reduction -with the addition that $n$ must be of the form $n = \beta^m - k$ where $0 < k <\beta$. - -This algorithm essentially implements the pseudo-code in figure~\ref{fig:DR} except with a slight optimization. The division by $\beta^m$, multiplication by $k$ -and addition of $x \mbox{ mod }\beta^m$ are all performed simultaneously inside the loop on step 4. The division by $\beta^m$ is emulated by accessing -the term at the $m+i$'th position which is subsequently multiplied by $k$ and added to the term at the $i$'th position. After the loop the $m$'th -digit is set to the carry and the upper digits are zeroed. Steps 5 and 6 emulate the reduction modulo $\beta^m$ that should have happend to -$x$ before the addition of the multiple of the upper half. - -At step 8 if $x$ is still larger than $n$ another pass of the algorithm is required. First $n$ is subtracted from $x$ and then the algorithm resumes -at step 3. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_dr\_reduce.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The first step is to grow $x$ as required to $2m$ digits since the reduction is performed in place on $x$. The label on line 52 is where -the algorithm will resume if further reduction passes are required. In theory it could be placed at the top of the function however, the size of -the modulus and question of whether $x$ is large enough are invariant after the first pass meaning that it would be a waste of time. - -The aliases $tmpx1$ and $tmpx2$ refer to the digits of $x$ where the latter is offset by $m$ digits. By reading digits from $x$ offset by $m$ digits -a division by $\beta^m$ can be simulated virtually for free. The loop on line 64 performs the bulk of the work (\textit{corresponds to step 4 of algorithm 7.11}) -in this algorithm. - -By line 67 the pointer $tmpx1$ points to the $m$'th digit of $x$ which is where the final carry will be placed. Similarly by line 74 the -same pointer will point to the $m+1$'th digit where the zeroes will be placed. - -Since the algorithm is only valid if both $x$ and $n$ are greater than zero an unsigned comparison suffices to determine if another pass is required. -With the same logic at line 81 the value of $x$ is known to be greater than or equal to $n$ meaning that an unsigned subtraction can be used -as well. Since the destination of the subtraction is the larger of the inputs the call to algorithm s\_mp\_sub cannot fail and the return code -does not need to be checked. - -\subsubsection{Setup} -To setup the restricted Diminished Radix algorithm the value $k = \beta - n_0$ is required. This algorithm is not really complicated but provided for -completeness. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_dr\_setup}. \\ -\textbf{Input}. mp\_int $n$ \\ -\textbf{Output}. $k = \beta - n_0$ \\ -\hline \\ -1. $k \leftarrow \beta - n_0$ \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_dr\_setup} -\end{figure} - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_dr\_setup.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\subsubsection{Modulus Detection} -Another algorithm which will be useful is the ability to detect a restricted Diminished Radix modulus. An integer is said to be -of restricted Diminished Radix form if all of the digits are equal to $\beta - 1$ except the trailing digit which may be any value. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_dr\_is\_modulus}. \\ -\textbf{Input}. mp\_int $n$ \\ -\textbf{Output}. $1$ if $n$ is in D.R form, $0$ otherwise \\ -\hline -1. If $n.used < 2$ then return($0$). \\ -2. for $ix$ from $1$ to $n.used - 1$ do \\ -\hspace{3mm}2.1 If $n_{ix} \ne \beta - 1$ return($0$). \\ -3. Return($1$). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_dr\_is\_modulus} -\end{figure} - -\textbf{Algorithm mp\_dr\_is\_modulus.} -This algorithm determines if a value is in Diminished Radix form. Step 1 rejects obvious cases where fewer than two digits are -in the mp\_int. Step 2 tests all but the first digit to see if they are equal to $\beta - 1$. If the algorithm manages to get to -step 3 then $n$ must be of Diminished Radix form. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_dr\_is\_modulus.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\subsection{Unrestricted Diminished Radix Reduction} -The unrestricted Diminished Radix algorithm allows modular reductions to be performed when the modulus is of the form $2^p - k$. This algorithm -is a straightforward adaptation of algorithm~\ref{fig:DR}. - -In general the restricted Diminished Radix reduction algorithm is much faster since it has considerably lower overhead. However, this new -algorithm is much faster than either Montgomery or Barrett reduction when the moduli are of the appropriate form. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_reduce\_2k}. \\ -\textbf{Input}. mp\_int $a$ and $n$. mp\_digit $k$ \\ -\hspace{11.5mm}($a \ge 0$, $n > 1$, $0 < k < \beta$, $n + k$ is a power of two) \\ -\textbf{Output}. $a \mbox{ (mod }n\mbox{)}$ \\ -\hline -1. $p \leftarrow \lceil lg(n) \rceil$ (\textit{mp\_count\_bits}) \\ -2. While $a \ge n$ do \\ -\hspace{3mm}2.1 $q \leftarrow \lfloor a / 2^p \rfloor$ (\textit{mp\_div\_2d}) \\ -\hspace{3mm}2.2 $a \leftarrow a \mbox{ (mod }2^p\mbox{)}$ (\textit{mp\_mod\_2d}) \\ -\hspace{3mm}2.3 $q \leftarrow q \cdot k$ (\textit{mp\_mul\_d}) \\ -\hspace{3mm}2.4 $a \leftarrow a - q$ (\textit{s\_mp\_sub}) \\ -\hspace{3mm}2.5 If $a \ge n$ then do \\ -\hspace{6mm}2.5.1 $a \leftarrow a - n$ \\ -3. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_reduce\_2k} -\end{figure} - -\textbf{Algorithm mp\_reduce\_2k.} -This algorithm quickly reduces an input $a$ modulo an unrestricted Diminished Radix modulus $n$. Division by $2^p$ is emulated with a right -shift which makes the algorithm fairly inexpensive to use. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_reduce\_2k.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The algorithm mp\_count\_bits calculates the number of bits in an mp\_int which is used to find the initial value of $p$. The call to mp\_div\_2d -on line 31 calculates both the quotient $q$ and the remainder $a$ required. By doing both in a single function call the code size -is kept fairly small. The multiplication by $k$ is only performed if $k > 1$. This allows reductions modulo $2^p - 1$ to be performed without -any multiplications. - -The unsigned s\_mp\_add, mp\_cmp\_mag and s\_mp\_sub are used in place of their full sign counterparts since the inputs are only valid if they are -positive. By using the unsigned versions the overhead is kept to a minimum. - -\subsubsection{Unrestricted Setup} -To setup this reduction algorithm the value of $k = 2^p - n$ is required. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_reduce\_2k\_setup}. \\ -\textbf{Input}. mp\_int $n$ \\ -\textbf{Output}. $k = 2^p - n$ \\ -\hline -1. $p \leftarrow \lceil lg(n) \rceil$ (\textit{mp\_count\_bits}) \\ -2. $x \leftarrow 2^p$ (\textit{mp\_2expt}) \\ -3. $x \leftarrow x - n$ (\textit{mp\_sub}) \\ -4. $k \leftarrow x_0$ \\ -5. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_reduce\_2k\_setup} -\end{figure} - -\textbf{Algorithm mp\_reduce\_2k\_setup.} -This algorithm computes the value of $k$ required for the algorithm mp\_reduce\_2k. By making a temporary variable $x$ equal to $2^p$ a subtraction -is sufficient to solve for $k$. Alternatively if $n$ has more than one digit the value of $k$ is simply $\beta - n_0$. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_reduce\_2k\_setup.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\subsubsection{Unrestricted Detection} -An integer $n$ is a valid unrestricted Diminished Radix modulus if either of the following are true. - -\begin{enumerate} -\item The number has only one digit. -\item The number has more than one digit and every bit from the $\beta$'th to the most significant is one. -\end{enumerate} - -If either condition is true than there is a power of two $2^p$ such that $0 < 2^p - n < \beta$. If the input is only -one digit than it will always be of the correct form. Otherwise all of the bits above the first digit must be one. This arises from the fact -that there will be value of $k$ that when added to the modulus causes a carry in the first digit which propagates all the way to the most -significant bit. The resulting sum will be a power of two. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_reduce\_is\_2k}. \\ -\textbf{Input}. mp\_int $n$ \\ -\textbf{Output}. $1$ if of proper form, $0$ otherwise \\ -\hline -1. If $n.used = 0$ then return($0$). \\ -2. If $n.used = 1$ then return($1$). \\ -3. $p \leftarrow \lceil lg(n) \rceil$ (\textit{mp\_count\_bits}) \\ -4. for $x$ from $lg(\beta)$ to $p$ do \\ -\hspace{3mm}4.1 If the ($x \mbox{ mod }lg(\beta)$)'th bit of the $\lfloor x / lg(\beta) \rfloor$ of $n$ is zero then return($0$). \\ -5. Return($1$). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_reduce\_is\_2k} -\end{figure} - -\textbf{Algorithm mp\_reduce\_is\_2k.} -This algorithm quickly determines if a modulus is of the form required for algorithm mp\_reduce\_2k to function properly. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_reduce\_is\_2k.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - - - -\section{Algorithm Comparison} -So far three very different algorithms for modular reduction have been discussed. Each of the algorithms have their own strengths and weaknesses -that makes having such a selection very useful. The following table sumarizes the three algorithms along with comparisons of work factors. Since -all three algorithms have the restriction that $0 \le x < n^2$ and $n > 1$ those limitations are not included in the table. - -\begin{center} -\begin{small} -\begin{tabular}{|c|c|c|c|c|c|} -\hline \textbf{Method} & \textbf{Work Required} & \textbf{Limitations} & \textbf{$m = 8$} & \textbf{$m = 32$} & \textbf{$m = 64$} \\ -\hline Barrett & $m^2 + 2m - 1$ & None & $79$ & $1087$ & $4223$ \\ -\hline Montgomery & $m^2 + m$ & $n$ must be odd & $72$ & $1056$ & $4160$ \\ -\hline D.R. & $2m$ & $n = \beta^m - k$ & $16$ & $64$ & $128$ \\ -\hline -\end{tabular} -\end{small} -\end{center} - -In theory Montgomery and Barrett reductions would require roughly the same amount of time to complete. However, in practice since Montgomery -reduction can be written as a single function with the Comba technique it is much faster. Barrett reduction suffers from the overhead of -calling the half precision multipliers, addition and division by $\beta$ algorithms. - -For almost every cryptographic algorithm Montgomery reduction is the algorithm of choice. The one set of algorithms where Diminished Radix reduction truly -shines are based on the discrete logarithm problem such as Diffie-Hellman \cite{DH} and ElGamal \cite{ELGAMAL}. In these algorithms -primes of the form $\beta^m - k$ can be found and shared amongst users. These primes will allow the Diminished Radix algorithm to be used in -modular exponentiation to greatly speed up the operation. - - - -\section*{Exercises} -\begin{tabular}{cl} -$\left [ 3 \right ]$ & Prove that the ``trick'' in algorithm mp\_montgomery\_setup actually \\ - & calculates the correct value of $\rho$. \\ - & \\ -$\left [ 2 \right ]$ & Devise an algorithm to reduce modulo $n + k$ for small $k$ quickly. \\ - & \\ -$\left [ 4 \right ]$ & Prove that the pseudo-code algorithm ``Diminished Radix Reduction'' \\ - & (\textit{figure~\ref{fig:DR}}) terminates. Also prove the probability that it will \\ - & terminate within $1 \le k \le 10$ iterations. \\ - & \\ -\end{tabular} - - -\chapter{Exponentiation} -Exponentiation is the operation of raising one variable to the power of another, for example, $a^b$. A variant of exponentiation, computed -in a finite field or ring, is called modular exponentiation. This latter style of operation is typically used in public key -cryptosystems such as RSA and Diffie-Hellman. The ability to quickly compute modular exponentiations is of great benefit to any -such cryptosystem and many methods have been sought to speed it up. - -\section{Exponentiation Basics} -A trivial algorithm would simply multiply $a$ against itself $b - 1$ times to compute the exponentiation desired. However, as $b$ grows in size -the number of multiplications becomes prohibitive. Imagine what would happen if $b$ $\approx$ $2^{1024}$ as is the case when computing an RSA signature -with a $1024$-bit key. Such a calculation could never be completed as it would take simply far too long. - -Fortunately there is a very simple algorithm based on the laws of exponents. Recall that $lg_a(a^b) = b$ and that $lg_a(a^ba^c) = b + c$ which -are two trivial relationships between the base and the exponent. Let $b_i$ represent the $i$'th bit of $b$ starting from the least -significant bit. If $b$ is a $k$-bit integer than the following equation is true. - -\begin{equation} -a^b = \prod_{i=0}^{k-1} a^{2^i \cdot b_i} -\end{equation} - -By taking the base $a$ logarithm of both sides of the equation the following equation is the result. - -\begin{equation} -b = \sum_{i=0}^{k-1}2^i \cdot b_i -\end{equation} - -The term $a^{2^i}$ can be found from the $i - 1$'th term by squaring the term since $\left ( a^{2^i} \right )^2$ is equal to -$a^{2^{i+1}}$. This observation forms the basis of essentially all fast exponentiation algorithms. It requires $k$ squarings and on average -$k \over 2$ multiplications to compute the result. This is indeed quite an improvement over simply multiplying by $a$ a total of $b-1$ times. - -While this current method is a considerable speed up there are further improvements to be made. For example, the $a^{2^i}$ term does not need to -be computed in an auxilary variable. Consider the following equivalent algorithm. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Left to Right Exponentiation}. \\ -\textbf{Input}. Integer $a$, $b$ and $k$ \\ -\textbf{Output}. $c = a^b$ \\ -\hline \\ -1. $c \leftarrow 1$ \\ -2. for $i$ from $k - 1$ to $0$ do \\ -\hspace{3mm}2.1 $c \leftarrow c^2$ \\ -\hspace{3mm}2.2 $c \leftarrow c \cdot a^{b_i}$ \\ -3. Return $c$. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Left to Right Exponentiation} -\label{fig:LTOR} -\end{figure} - -This algorithm starts from the most significant bit and works towards the least significant bit. When the $i$'th bit of $b$ is set $a$ is -multiplied against the current product. In each iteration the product is squared which doubles the exponent of the individual terms of the -product. - -For example, let $b = 101100_2 \equiv 44_{10}$. The following chart demonstrates the actions of the algorithm. - -\newpage\begin{figure} -\begin{center} -\begin{tabular}{|c|c|} -\hline \textbf{Value of $i$} & \textbf{Value of $c$} \\ -\hline - & $1$ \\ -\hline $5$ & $a$ \\ -\hline $4$ & $a^2$ \\ -\hline $3$ & $a^4 \cdot a$ \\ -\hline $2$ & $a^8 \cdot a^2 \cdot a$ \\ -\hline $1$ & $a^{16} \cdot a^4 \cdot a^2$ \\ -\hline $0$ & $a^{32} \cdot a^8 \cdot a^4$ \\ -\hline -\end{tabular} -\end{center} -\caption{Example of Left to Right Exponentiation} -\end{figure} - -When the product $a^{32} \cdot a^8 \cdot a^4$ is simplified it is equal $a^{44}$ which is the desired exponentiation. This particular algorithm is -called ``Left to Right'' because it reads the exponent in that order. All of the exponentiation algorithms that will be presented are of this nature. - -\subsection{Single Digit Exponentiation} -The first algorithm in the series of exponentiation algorithms will be an unbounded algorithm where the exponent is a single digit. It is intended -to be used when a small power of an input is required (\textit{e.g. $a^5$}). It is faster than simply multiplying $b - 1$ times for all values of -$b$ that are greater than three. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_expt\_d}. \\ -\textbf{Input}. mp\_int $a$ and mp\_digit $b$ \\ -\textbf{Output}. $c = a^b$ \\ -\hline \\ -1. $g \leftarrow a$ (\textit{mp\_init\_copy}) \\ -2. $c \leftarrow 1$ (\textit{mp\_set}) \\ -3. for $x$ from 1 to $lg(\beta)$ do \\ -\hspace{3mm}3.1 $c \leftarrow c^2$ (\textit{mp\_sqr}) \\ -\hspace{3mm}3.2 If $b$ AND $2^{lg(\beta) - 1} \ne 0$ then \\ -\hspace{6mm}3.2.1 $c \leftarrow c \cdot g$ (\textit{mp\_mul}) \\ -\hspace{3mm}3.3 $b \leftarrow b << 1$ \\ -4. Clear $g$. \\ -5. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_expt\_d} -\end{figure} - -\textbf{Algorithm mp\_expt\_d.} -This algorithm computes the value of $a$ raised to the power of a single digit $b$. It uses the left to right exponentiation algorithm to -quickly compute the exponentiation. It is loosely based on algorithm 14.79 of HAC \cite[pp. 615]{HAC} with the difference that the -exponent is a fixed width. - -A copy of $a$ is made first to allow destination variable $c$ be the same as the source variable $a$. The result is set to the initial value of -$1$ in the subsequent step. - -Inside the loop the exponent is read from the most significant bit first down to the least significant bit. First $c$ is invariably squared -on step 3.1. In the following step if the most significant bit of $b$ is one the copy of $a$ is multiplied against $c$. The value -of $b$ is shifted left one bit to make the next bit down from the most signficant bit the new most significant bit. In effect each -iteration of the loop moves the bits of the exponent $b$ upwards to the most significant location. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_expt\_d.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -Line 29 sets the initial value of the result to $1$. Next the loop on line 31 steps through each bit of the exponent starting from -the most significant down towards the least significant. The invariant squaring operation placed on line 33 is performed first. After -the squaring the result $c$ is multiplied by the base $g$ if and only if the most significant bit of the exponent is set. The shift on line -47 moves all of the bits of the exponent upwards towards the most significant location. - -\section{$k$-ary Exponentiation} -When calculating an exponentiation the most time consuming bottleneck is the multiplications which are in general a small factor -slower than squaring. Recall from the previous algorithm that $b_{i}$ refers to the $i$'th bit of the exponent $b$. Suppose instead it referred to -the $i$'th $k$-bit digit of the exponent of $b$. For $k = 1$ the definitions are synonymous and for $k > 1$ algorithm~\ref{fig:KARY} -computes the same exponentiation. A group of $k$ bits from the exponent is called a \textit{window}. That is it is a small window on only a -portion of the entire exponent. Consider the following modification to the basic left to right exponentiation algorithm. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{$k$-ary Exponentiation}. \\ -\textbf{Input}. Integer $a$, $b$, $k$ and $t$ \\ -\textbf{Output}. $c = a^b$ \\ -\hline \\ -1. $c \leftarrow 1$ \\ -2. for $i$ from $t - 1$ to $0$ do \\ -\hspace{3mm}2.1 $c \leftarrow c^{2^k} $ \\ -\hspace{3mm}2.2 Extract the $i$'th $k$-bit word from $b$ and store it in $g$. \\ -\hspace{3mm}2.3 $c \leftarrow c \cdot a^g$ \\ -3. Return $c$. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{$k$-ary Exponentiation} -\label{fig:KARY} -\end{figure} - -The squaring on step 2.1 can be calculated by squaring the value $c$ successively $k$ times. If the values of $a^g$ for $0 < g < 2^k$ have been -precomputed this algorithm requires only $t$ multiplications and $tk$ squarings. The table can be generated with $2^{k - 1} - 1$ squarings and -$2^{k - 1} + 1$ multiplications. This algorithm assumes that the number of bits in the exponent is evenly divisible by $k$. -However, when it is not the remaining $0 < x \le k - 1$ bits can be handled with algorithm~\ref{fig:LTOR}. - -Suppose $k = 4$ and $t = 100$. This modified algorithm will require $109$ multiplications and $408$ squarings to compute the exponentiation. The -original algorithm would on average have required $200$ multiplications and $400$ squrings to compute the same value. The total number of squarings -has increased slightly but the number of multiplications has nearly halved. - -\subsection{Optimal Values of $k$} -An optimal value of $k$ will minimize $2^{k} + \lceil n / k \rceil + n - 1$ for a fixed number of bits in the exponent $n$. The simplest -approach is to brute force search amongst the values $k = 2, 3, \ldots, 8$ for the lowest result. Table~\ref{fig:OPTK} lists optimal values of $k$ -for various exponent sizes and compares the number of multiplication and squarings required against algorithm~\ref{fig:LTOR}. - -\begin{figure}[here] -\begin{center} -\begin{small} -\begin{tabular}{|c|c|c|c|c|c|} -\hline \textbf{Exponent (bits)} & \textbf{Optimal $k$} & \textbf{Work at $k$} & \textbf{Work with ~\ref{fig:LTOR}} \\ -\hline $16$ & $2$ & $27$ & $24$ \\ -\hline $32$ & $3$ & $49$ & $48$ \\ -\hline $64$ & $3$ & $92$ & $96$ \\ -\hline $128$ & $4$ & $175$ & $192$ \\ -\hline $256$ & $4$ & $335$ & $384$ \\ -\hline $512$ & $5$ & $645$ & $768$ \\ -\hline $1024$ & $6$ & $1257$ & $1536$ \\ -\hline $2048$ & $6$ & $2452$ & $3072$ \\ -\hline $4096$ & $7$ & $4808$ & $6144$ \\ -\hline -\end{tabular} -\end{small} -\end{center} -\caption{Optimal Values of $k$ for $k$-ary Exponentiation} -\label{fig:OPTK} -\end{figure} - -\subsection{Sliding-Window Exponentiation} -A simple modification to the previous algorithm is only generate the upper half of the table in the range $2^{k-1} \le g < 2^k$. Essentially -this is a table for all values of $g$ where the most significant bit of $g$ is a one. However, in order for this to be allowed in the -algorithm values of $g$ in the range $0 \le g < 2^{k-1}$ must be avoided. - -Table~\ref{fig:OPTK2} lists optimal values of $k$ for various exponent sizes and compares the work required against algorithm~\ref{fig:KARY}. - -\begin{figure}[here] -\begin{center} -\begin{small} -\begin{tabular}{|c|c|c|c|c|c|} -\hline \textbf{Exponent (bits)} & \textbf{Optimal $k$} & \textbf{Work at $k$} & \textbf{Work with ~\ref{fig:KARY}} \\ -\hline $16$ & $3$ & $24$ & $27$ \\ -\hline $32$ & $3$ & $45$ & $49$ \\ -\hline $64$ & $4$ & $87$ & $92$ \\ -\hline $128$ & $4$ & $167$ & $175$ \\ -\hline $256$ & $5$ & $322$ & $335$ \\ -\hline $512$ & $6$ & $628$ & $645$ \\ -\hline $1024$ & $6$ & $1225$ & $1257$ \\ -\hline $2048$ & $7$ & $2403$ & $2452$ \\ -\hline $4096$ & $8$ & $4735$ & $4808$ \\ -\hline -\end{tabular} -\end{small} -\end{center} -\caption{Optimal Values of $k$ for Sliding Window Exponentiation} -\label{fig:OPTK2} -\end{figure} - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Sliding Window $k$-ary Exponentiation}. \\ -\textbf{Input}. Integer $a$, $b$, $k$ and $t$ \\ -\textbf{Output}. $c = a^b$ \\ -\hline \\ -1. $c \leftarrow 1$ \\ -2. for $i$ from $t - 1$ to $0$ do \\ -\hspace{3mm}2.1 If the $i$'th bit of $b$ is a zero then \\ -\hspace{6mm}2.1.1 $c \leftarrow c^2$ \\ -\hspace{3mm}2.2 else do \\ -\hspace{6mm}2.2.1 $c \leftarrow c^{2^k}$ \\ -\hspace{6mm}2.2.2 Extract the $k$ bits from $(b_{i}b_{i-1}\ldots b_{i-(k-1)})$ and store it in $g$. \\ -\hspace{6mm}2.2.3 $c \leftarrow c \cdot a^g$ \\ -\hspace{6mm}2.2.4 $i \leftarrow i - k$ \\ -3. Return $c$. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Sliding Window $k$-ary Exponentiation} -\end{figure} - -Similar to the previous algorithm this algorithm must have a special handler when fewer than $k$ bits are left in the exponent. While this -algorithm requires the same number of squarings it can potentially have fewer multiplications. The pre-computed table $a^g$ is also half -the size as the previous table. - -Consider the exponent $b = 111101011001000_2 \equiv 31432_{10}$ with $k = 3$ using both algorithms. The first algorithm will divide the exponent up as -the following five $3$-bit words $b \equiv \left ( 111, 101, 011, 001, 000 \right )_{2}$. The second algorithm will break the -exponent as $b \equiv \left ( 111, 101, 0, 110, 0, 100, 0 \right )_{2}$. The single digit $0$ in the second representation are where -a single squaring took place instead of a squaring and multiplication. In total the first method requires $10$ multiplications and $18$ -squarings. The second method requires $8$ multiplications and $18$ squarings. - -In general the sliding window method is never slower than the generic $k$-ary method and often it is slightly faster. - -\section{Modular Exponentiation} - -Modular exponentiation is essentially computing the power of a base within a finite field or ring. For example, computing -$d \equiv a^b \mbox{ (mod }c\mbox{)}$ is a modular exponentiation. Instead of first computing $a^b$ and then reducing it -modulo $c$ the intermediate result is reduced modulo $c$ after every squaring or multiplication operation. - -This guarantees that any intermediate result is bounded by $0 \le d \le c^2 - 2c + 1$ and can be reduced modulo $c$ quickly using -one of the algorithms presented in chapter six. - -Before the actual modular exponentiation algorithm can be written a wrapper algorithm must be written first. This algorithm -will allow the exponent $b$ to be negative which is computed as $c \equiv \left (1 / a \right )^{\vert b \vert} \mbox{(mod }d\mbox{)}$. The -value of $(1/a) \mbox{ mod }c$ is computed using the modular inverse (\textit{see \ref{sec;modinv}}). If no inverse exists the algorithm -terminates with an error. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_exptmod}. \\ -\textbf{Input}. mp\_int $a$, $b$ and $c$ \\ -\textbf{Output}. $y \equiv g^x \mbox{ (mod }p\mbox{)}$ \\ -\hline \\ -1. If $c.sign = MP\_NEG$ return(\textit{MP\_VAL}). \\ -2. If $b.sign = MP\_NEG$ then \\ -\hspace{3mm}2.1 $g' \leftarrow g^{-1} \mbox{ (mod }c\mbox{)}$ \\ -\hspace{3mm}2.2 $x' \leftarrow \vert x \vert$ \\ -\hspace{3mm}2.3 Compute $d \equiv g'^{x'} \mbox{ (mod }c\mbox{)}$ via recursion. \\ -3. if $p$ is odd \textbf{OR} $p$ is a D.R. modulus then \\ -\hspace{3mm}3.1 Compute $y \equiv g^{x} \mbox{ (mod }p\mbox{)}$ via algorithm mp\_exptmod\_fast. \\ -4. else \\ -\hspace{3mm}4.1 Compute $y \equiv g^{x} \mbox{ (mod }p\mbox{)}$ via algorithm s\_mp\_exptmod. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_exptmod} -\end{figure} - -\textbf{Algorithm mp\_exptmod.} -The first algorithm which actually performs modular exponentiation is algorithm s\_mp\_exptmod. It is a sliding window $k$-ary algorithm -which uses Barrett reduction to reduce the product modulo $p$. The second algorithm mp\_exptmod\_fast performs the same operation -except it uses either Montgomery or Diminished Radix reduction. The two latter reduction algorithms are clumped in the same exponentiation -algorithm since their arguments are essentially the same (\textit{two mp\_ints and one mp\_digit}). - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_exptmod.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -In order to keep the algorithms in a known state the first step on line 29 is to reject any negative modulus as input. If the exponent is -negative the algorithm tries to perform a modular exponentiation with the modular inverse of the base $G$. The temporary variable $tmpG$ is assigned -the modular inverse of $G$ and $tmpX$ is assigned the absolute value of $X$. The algorithm will recuse with these new values with a positive -exponent. - -If the exponent is positive the algorithm resumes the exponentiation. Line 77 determines if the modulus is of the restricted Diminished Radix -form. If it is not line 70 attempts to determine if it is of a unrestricted Diminished Radix form. The integer $dr$ will take on one -of three values. - -\begin{enumerate} -\item $dr = 0$ means that the modulus is not of either restricted or unrestricted Diminished Radix form. -\item $dr = 1$ means that the modulus is of restricted Diminished Radix form. -\item $dr = 2$ means that the modulus is of unrestricted Diminished Radix form. -\end{enumerate} - -Line 69 determines if the fast modular exponentiation algorithm can be used. It is allowed if $dr \ne 0$ or if the modulus is odd. Otherwise, -the slower s\_mp\_exptmod algorithm is used which uses Barrett reduction. - -\subsection{Barrett Modular Exponentiation} - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{s\_mp\_exptmod}. \\ -\textbf{Input}. mp\_int $a$, $b$ and $c$ \\ -\textbf{Output}. $y \equiv g^x \mbox{ (mod }p\mbox{)}$ \\ -\hline \\ -1. $k \leftarrow lg(x)$ \\ -2. $winsize \leftarrow \left \lbrace \begin{array}{ll} - 2 & \mbox{if }k \le 7 \\ - 3 & \mbox{if }7 < k \le 36 \\ - 4 & \mbox{if }36 < k \le 140 \\ - 5 & \mbox{if }140 < k \le 450 \\ - 6 & \mbox{if }450 < k \le 1303 \\ - 7 & \mbox{if }1303 < k \le 3529 \\ - 8 & \mbox{if }3529 < k \\ - \end{array} \right .$ \\ -3. Initialize $2^{winsize}$ mp\_ints in an array named $M$ and one mp\_int named $\mu$ \\ -4. Calculate the $\mu$ required for Barrett Reduction (\textit{mp\_reduce\_setup}). \\ -5. $M_1 \leftarrow g \mbox{ (mod }p\mbox{)}$ \\ -\\ -Setup the table of small powers of $g$. First find $g^{2^{winsize}}$ and then all multiples of it. \\ -6. $k \leftarrow 2^{winsize - 1}$ \\ -7. $M_{k} \leftarrow M_1$ \\ -8. for $ix$ from 0 to $winsize - 2$ do \\ -\hspace{3mm}8.1 $M_k \leftarrow \left ( M_k \right )^2$ (\textit{mp\_sqr}) \\ -\hspace{3mm}8.2 $M_k \leftarrow M_k \mbox{ (mod }p\mbox{)}$ (\textit{mp\_reduce}) \\ -9. for $ix$ from $2^{winsize - 1} + 1$ to $2^{winsize} - 1$ do \\ -\hspace{3mm}9.1 $M_{ix} \leftarrow M_{ix - 1} \cdot M_{1}$ (\textit{mp\_mul}) \\ -\hspace{3mm}9.2 $M_{ix} \leftarrow M_{ix} \mbox{ (mod }p\mbox{)}$ (\textit{mp\_reduce}) \\ -10. $res \leftarrow 1$ \\ -\\ -Start Sliding Window. \\ -11. $mode \leftarrow 0, bitcnt \leftarrow 1, buf \leftarrow 0, digidx \leftarrow x.used - 1, bitcpy \leftarrow 0, bitbuf \leftarrow 0$ \\ -12. Loop \\ -\hspace{3mm}12.1 $bitcnt \leftarrow bitcnt - 1$ \\ -\hspace{3mm}12.2 If $bitcnt = 0$ then do \\ -\hspace{6mm}12.2.1 If $digidx = -1$ goto step 13. \\ -\hspace{6mm}12.2.2 $buf \leftarrow x_{digidx}$ \\ -\hspace{6mm}12.2.3 $digidx \leftarrow digidx - 1$ \\ -\hspace{6mm}12.2.4 $bitcnt \leftarrow lg(\beta)$ \\ -Continued on next page. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm s\_mp\_exptmod} -\end{figure} - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{s\_mp\_exptmod} (\textit{continued}). \\ -\textbf{Input}. mp\_int $a$, $b$ and $c$ \\ -\textbf{Output}. $y \equiv g^x \mbox{ (mod }p\mbox{)}$ \\ -\hline \\ -\hspace{3mm}12.3 $y \leftarrow (buf >> (lg(\beta) - 1))$ AND $1$ \\ -\hspace{3mm}12.4 $buf \leftarrow buf << 1$ \\ -\hspace{3mm}12.5 if $mode = 0$ and $y = 0$ then goto step 12. \\ -\hspace{3mm}12.6 if $mode = 1$ and $y = 0$ then do \\ -\hspace{6mm}12.6.1 $res \leftarrow res^2$ \\ -\hspace{6mm}12.6.2 $res \leftarrow res \mbox{ (mod }p\mbox{)}$ \\ -\hspace{6mm}12.6.3 Goto step 12. \\ -\hspace{3mm}12.7 $bitcpy \leftarrow bitcpy + 1$ \\ -\hspace{3mm}12.8 $bitbuf \leftarrow bitbuf + (y << (winsize - bitcpy))$ \\ -\hspace{3mm}12.9 $mode \leftarrow 2$ \\ -\hspace{3mm}12.10 If $bitcpy = winsize$ then do \\ -\hspace{6mm}Window is full so perform the squarings and single multiplication. \\ -\hspace{6mm}12.10.1 for $ix$ from $0$ to $winsize -1$ do \\ -\hspace{9mm}12.10.1.1 $res \leftarrow res^2$ \\ -\hspace{9mm}12.10.1.2 $res \leftarrow res \mbox{ (mod }p\mbox{)}$ \\ -\hspace{6mm}12.10.2 $res \leftarrow res \cdot M_{bitbuf}$ \\ -\hspace{6mm}12.10.3 $res \leftarrow res \mbox{ (mod }p\mbox{)}$ \\ -\hspace{6mm}Reset the window. \\ -\hspace{6mm}12.10.4 $bitcpy \leftarrow 0, bitbuf \leftarrow 0, mode \leftarrow 1$ \\ -\\ -No more windows left. Check for residual bits of exponent. \\ -13. If $mode = 2$ and $bitcpy > 0$ then do \\ -\hspace{3mm}13.1 for $ix$ form $0$ to $bitcpy - 1$ do \\ -\hspace{6mm}13.1.1 $res \leftarrow res^2$ \\ -\hspace{6mm}13.1.2 $res \leftarrow res \mbox{ (mod }p\mbox{)}$ \\ -\hspace{6mm}13.1.3 $bitbuf \leftarrow bitbuf << 1$ \\ -\hspace{6mm}13.1.4 If $bitbuf$ AND $2^{winsize} \ne 0$ then do \\ -\hspace{9mm}13.1.4.1 $res \leftarrow res \cdot M_{1}$ \\ -\hspace{9mm}13.1.4.2 $res \leftarrow res \mbox{ (mod }p\mbox{)}$ \\ -14. $y \leftarrow res$ \\ -15. Clear $res$, $mu$ and the $M$ array. \\ -16. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm s\_mp\_exptmod (continued)} -\end{figure} - -\textbf{Algorithm s\_mp\_exptmod.} -This algorithm computes the $x$'th power of $g$ modulo $p$ and stores the result in $y$. It takes advantage of the Barrett reduction -algorithm to keep the product small throughout the algorithm. - -The first two steps determine the optimal window size based on the number of bits in the exponent. The larger the exponent the -larger the window size becomes. After a window size $winsize$ has been chosen an array of $2^{winsize}$ mp\_int variables is allocated. This -table will hold the values of $g^x \mbox{ (mod }p\mbox{)}$ for $2^{winsize - 1} \le x < 2^{winsize}$. - -After the table is allocated the first power of $g$ is found. Since $g \ge p$ is allowed it must be first reduced modulo $p$ to make -the rest of the algorithm more efficient. The first element of the table at $2^{winsize - 1}$ is found by squaring $M_1$ successively $winsize - 2$ -times. The rest of the table elements are found by multiplying the previous element by $M_1$ modulo $p$. - -Now that the table is available the sliding window may begin. The following list describes the functions of all the variables in the window. -\begin{enumerate} -\item The variable $mode$ dictates how the bits of the exponent are interpreted. -\begin{enumerate} - \item When $mode = 0$ the bits are ignored since no non-zero bit of the exponent has been seen yet. For example, if the exponent were simply - $1$ then there would be $lg(\beta) - 1$ zero bits before the first non-zero bit. In this case bits are ignored until a non-zero bit is found. - \item When $mode = 1$ a non-zero bit has been seen before and a new $winsize$-bit window has not been formed yet. In this mode leading $0$ bits - are read and a single squaring is performed. If a non-zero bit is read a new window is created. - \item When $mode = 2$ the algorithm is in the middle of forming a window and new bits are appended to the window from the most significant bit - downwards. -\end{enumerate} -\item The variable $bitcnt$ indicates how many bits are left in the current digit of the exponent left to be read. When it reaches zero a new digit - is fetched from the exponent. -\item The variable $buf$ holds the currently read digit of the exponent. -\item The variable $digidx$ is an index into the exponents digits. It starts at the leading digit $x.used - 1$ and moves towards the trailing digit. -\item The variable $bitcpy$ indicates how many bits are in the currently formed window. When it reaches $winsize$ the window is flushed and - the appropriate operations performed. -\item The variable $bitbuf$ holds the current bits of the window being formed. -\end{enumerate} - -All of step 12 is the window processing loop. It will iterate while there are digits available form the exponent to read. The first step -inside this loop is to extract a new digit if no more bits are available in the current digit. If there are no bits left a new digit is -read and if there are no digits left than the loop terminates. - -After a digit is made available step 12.3 will extract the most significant bit of the current digit and move all other bits in the digit -upwards. In effect the digit is read from most significant bit to least significant bit and since the digits are read from leading to -trailing edges the entire exponent is read from most significant bit to least significant bit. - -At step 12.5 if the $mode$ and currently extracted bit $y$ are both zero the bit is ignored and the next bit is read. This prevents the -algorithm from having to perform trivial squaring and reduction operations before the first non-zero bit is read. Step 12.6 and 12.7-10 handle -the two cases of $mode = 1$ and $mode = 2$ respectively. - -\begin{center} -\begin{figure}[here] -\includegraphics{pics/expt_state.ps} -\caption{Sliding Window State Diagram} -\label{pic:expt_state} -\end{figure} -\end{center} - -By step 13 there are no more digits left in the exponent. However, there may be partial bits in the window left. If $mode = 2$ then -a Left-to-Right algorithm is used to process the remaining few bits. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_s\_mp\_exptmod.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -Lines 32 through 46 determine the optimal window size based on the length of the exponent in bits. The window divisions are sorted -from smallest to greatest so that in each \textbf{if} statement only one condition must be tested. For example, by the \textbf{if} statement -on line 38 the value of $x$ is already known to be greater than $140$. - -The conditional piece of code beginning on line 48 allows the window size to be restricted to five bits. This logic is used to ensure -the table of precomputed powers of $G$ remains relatively small. - -The for loop on line 61 initializes the $M$ array while lines 72 and 77 through 86 initialize the reduction -function that will be used for this modulus. - --- More later. - -\section{Quick Power of Two} -Calculating $b = 2^a$ can be performed much quicker than with any of the previous algorithms. Recall that a logical shift left $m << k$ is -equivalent to $m \cdot 2^k$. By this logic when $m = 1$ a quick power of two can be achieved. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_2expt}. \\ -\textbf{Input}. integer $b$ \\ -\textbf{Output}. $a \leftarrow 2^b$ \\ -\hline \\ -1. $a \leftarrow 0$ \\ -2. If $a.alloc < \lfloor b / lg(\beta) \rfloor + 1$ then grow $a$ appropriately. \\ -3. $a.used \leftarrow \lfloor b / lg(\beta) \rfloor + 1$ \\ -4. $a_{\lfloor b / lg(\beta) \rfloor} \leftarrow 1 << (b \mbox{ mod } lg(\beta))$ \\ -5. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_2expt} -\end{figure} - -\textbf{Algorithm mp\_2expt.} - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_2expt.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\chapter{Higher Level Algorithms} - -This chapter discusses the various higher level algorithms that are required to complete a well rounded multiple precision integer package. These -routines are less performance oriented than the algorithms of chapters five, six and seven but are no less important. - -The first section describes a method of integer division with remainder that is universally well known. It provides the signed division logic -for the package. The subsequent section discusses a set of algorithms which allow a single digit to be the 2nd operand for a variety of operations. -These algorithms serve mostly to simplify other algorithms where small constants are required. The last two sections discuss how to manipulate -various representations of integers. For example, converting from an mp\_int to a string of character. - -\section{Integer Division with Remainder} -\label{sec:division} - -Integer division aside from modular exponentiation is the most intensive algorithm to compute. Like addition, subtraction and multiplication -the basis of this algorithm is the long-hand division algorithm taught to school children. Throughout this discussion several common variables -will be used. Let $x$ represent the divisor and $y$ represent the dividend. Let $q$ represent the integer quotient $\lfloor y / x \rfloor$ and -let $r$ represent the remainder $r = y - x \lfloor y / x \rfloor$. The following simple algorithm will be used to start the discussion. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Radix-$\beta$ Integer Division}. \\ -\textbf{Input}. integer $x$ and $y$ \\ -\textbf{Output}. $q = \lfloor y/x\rfloor, r = y - xq$ \\ -\hline \\ -1. $q \leftarrow 0$ \\ -2. $n \leftarrow \vert \vert y \vert \vert - \vert \vert x \vert \vert$ \\ -3. for $t$ from $n$ down to $0$ do \\ -\hspace{3mm}3.1 Maximize $k$ such that $kx\beta^t$ is less than or equal to $y$ and $(k + 1)x\beta^t$ is greater. \\ -\hspace{3mm}3.2 $q \leftarrow q + k\beta^t$ \\ -\hspace{3mm}3.3 $y \leftarrow y - kx\beta^t$ \\ -4. $r \leftarrow y$ \\ -5. Return($q, r$) \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Radix-$\beta$ Integer Division} -\label{fig:raddiv} -\end{figure} - -As children we are taught this very simple algorithm for the case of $\beta = 10$. Almost instinctively several optimizations are taught for which -their reason of existing are never explained. For this example let $y = 5471$ represent the dividend and $x = 23$ represent the divisor. - -To find the first digit of the quotient the value of $k$ must be maximized such that $kx\beta^t$ is less than or equal to $y$ and -simultaneously $(k + 1)x\beta^t$ is greater than $y$. Implicitly $k$ is the maximum value the $t$'th digit of the quotient may have. The habitual method -used to find the maximum is to ``eyeball'' the two numbers, typically only the leading digits and quickly estimate a quotient. By only using leading -digits a much simpler division may be used to form an educated guess at what the value must be. In this case $k = \lfloor 54/23\rfloor = 2$ quickly -arises as a possible solution. Indeed $2x\beta^2 = 4600$ is less than $y = 5471$ and simultaneously $(k + 1)x\beta^2 = 6900$ is larger than $y$. -As a result $k\beta^2$ is added to the quotient which now equals $q = 200$ and $4600$ is subtracted from $y$ to give a remainder of $y = 841$. - -Again this process is repeated to produce the quotient digit $k = 3$ which makes the quotient $q = 200 + 3\beta = 230$ and the remainder -$y = 841 - 3x\beta = 181$. Finally the last iteration of the loop produces $k = 7$ which leads to the quotient $q = 230 + 7 = 237$ and the -remainder $y = 181 - 7x = 20$. The final quotient and remainder found are $q = 237$ and $r = y = 20$ which are indeed correct since -$237 \cdot 23 + 20 = 5471$ is true. - -\subsection{Quotient Estimation} -\label{sec:divest} -As alluded to earlier the quotient digit $k$ can be estimated from only the leading digits of both the divisor and dividend. When $p$ leading -digits are used from both the divisor and dividend to form an estimation the accuracy of the estimation rises as $p$ grows. Technically -speaking the estimation is based on assuming the lower $\vert \vert y \vert \vert - p$ and $\vert \vert x \vert \vert - p$ lower digits of the -dividend and divisor are zero. - -The value of the estimation may off by a few values in either direction and in general is fairly correct. A simplification \cite[pp. 271]{TAOCPV2} -of the estimation technique is to use $t + 1$ digits of the dividend and $t$ digits of the divisor, in particularly when $t = 1$. The estimate -using this technique is never too small. For the following proof let $t = \vert \vert y \vert \vert - 1$ and $s = \vert \vert x \vert \vert - 1$ -represent the most significant digits of the dividend and divisor respectively. - -\textbf{Proof.}\textit{ The quotient $\hat k = \lfloor (y_t\beta + y_{t-1}) / x_s \rfloor$ is greater than or equal to -$k = \lfloor y / (x \cdot \beta^{\vert \vert y \vert \vert - \vert \vert x \vert \vert - 1}) \rfloor$. } -The first obvious case is when $\hat k = \beta - 1$ in which case the proof is concluded since the real quotient cannot be larger. For all other -cases $\hat k = \lfloor (y_t\beta + y_{t-1}) / x_s \rfloor$ and $\hat k x_s \ge y_t\beta + y_{t-1} - x_s + 1$. The latter portion of the inequalility -$-x_s + 1$ arises from the fact that a truncated integer division will give the same quotient for at most $x_s - 1$ values. Next a series of -inequalities will prove the hypothesis. - -\begin{equation} -y - \hat k x \le y - \hat k x_s\beta^s -\end{equation} - -This is trivially true since $x \ge x_s\beta^s$. Next we replace $\hat kx_s\beta^s$ by the previous inequality for $\hat kx_s$. - -\begin{equation} -y - \hat k x \le y_t\beta^t + \ldots + y_0 - (y_t\beta^t + y_{t-1}\beta^{t-1} - x_s\beta^t + \beta^s) -\end{equation} - -By simplifying the previous inequality the following inequality is formed. - -\begin{equation} -y - \hat k x \le y_{t-2}\beta^{t-2} + \ldots + y_0 + x_s\beta^s - \beta^s -\end{equation} - -Subsequently, - -\begin{equation} -y_{t-2}\beta^{t-2} + \ldots + y_0 + x_s\beta^s - \beta^s < x_s\beta^s \le x -\end{equation} - -Which proves that $y - \hat kx \le x$ and by consequence $\hat k \ge k$ which concludes the proof. \textbf{QED} - - -\subsection{Normalized Integers} -For the purposes of division a normalized input is when the divisors leading digit $x_n$ is greater than or equal to $\beta / 2$. By multiplying both -$x$ and $y$ by $j = \lfloor (\beta / 2) / x_n \rfloor$ the quotient remains unchanged and the remainder is simply $j$ times the original -remainder. The purpose of normalization is to ensure the leading digit of the divisor is sufficiently large such that the estimated quotient will -lie in the domain of a single digit. Consider the maximum dividend $(\beta - 1) \cdot \beta + (\beta - 1)$ and the minimum divisor $\beta / 2$. - -\begin{equation} -{{\beta^2 - 1} \over { \beta / 2}} \le 2\beta - {2 \over \beta} -\end{equation} - -At most the quotient approaches $2\beta$, however, in practice this will not occur since that would imply the previous quotient digit was too small. - -\subsection{Radix-$\beta$ Division with Remainder} -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_div}. \\ -\textbf{Input}. mp\_int $a, b$ \\ -\textbf{Output}. $c = \lfloor a/b \rfloor$, $d = a - bc$ \\ -\hline \\ -1. If $b = 0$ return(\textit{MP\_VAL}). \\ -2. If $\vert a \vert < \vert b \vert$ then do \\ -\hspace{3mm}2.1 $d \leftarrow a$ \\ -\hspace{3mm}2.2 $c \leftarrow 0$ \\ -\hspace{3mm}2.3 Return(\textit{MP\_OKAY}). \\ -\\ -Setup the quotient to receive the digits. \\ -3. Grow $q$ to $a.used + 2$ digits. \\ -4. $q \leftarrow 0$ \\ -5. $x \leftarrow \vert a \vert , y \leftarrow \vert b \vert$ \\ -6. $sign \leftarrow \left \lbrace \begin{array}{ll} - MP\_ZPOS & \mbox{if }a.sign = b.sign \\ - MP\_NEG & \mbox{otherwise} \\ - \end{array} \right .$ \\ -\\ -Normalize the inputs such that the leading digit of $y$ is greater than or equal to $\beta / 2$. \\ -7. $norm \leftarrow (lg(\beta) - 1) - (\lceil lg(y) \rceil \mbox{ (mod }lg(\beta)\mbox{)})$ \\ -8. $x \leftarrow x \cdot 2^{norm}, y \leftarrow y \cdot 2^{norm}$ \\ -\\ -Find the leading digit of the quotient. \\ -9. $n \leftarrow x.used - 1, t \leftarrow y.used - 1$ \\ -10. $y \leftarrow y \cdot \beta^{n - t}$ \\ -11. While ($x \ge y$) do \\ -\hspace{3mm}11.1 $q_{n - t} \leftarrow q_{n - t} + 1$ \\ -\hspace{3mm}11.2 $x \leftarrow x - y$ \\ -12. $y \leftarrow \lfloor y / \beta^{n-t} \rfloor$ \\ -\\ -Continued on the next page. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_div} -\end{figure} - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_div} (continued). \\ -\textbf{Input}. mp\_int $a, b$ \\ -\textbf{Output}. $c = \lfloor a/b \rfloor$, $d = a - bc$ \\ -\hline \\ -Now find the remainder fo the digits. \\ -13. for $i$ from $n$ down to $(t + 1)$ do \\ -\hspace{3mm}13.1 If $i > x.used$ then jump to the next iteration of this loop. \\ -\hspace{3mm}13.2 If $x_{i} = y_{t}$ then \\ -\hspace{6mm}13.2.1 $q_{i - t - 1} \leftarrow \beta - 1$ \\ -\hspace{3mm}13.3 else \\ -\hspace{6mm}13.3.1 $\hat r \leftarrow x_{i} \cdot \beta + x_{i - 1}$ \\ -\hspace{6mm}13.3.2 $\hat r \leftarrow \lfloor \hat r / y_{t} \rfloor$ \\ -\hspace{6mm}13.3.3 $q_{i - t - 1} \leftarrow \hat r$ \\ -\hspace{3mm}13.4 $q_{i - t - 1} \leftarrow q_{i - t - 1} + 1$ \\ -\\ -Fixup quotient estimation. \\ -\hspace{3mm}13.5 Loop \\ -\hspace{6mm}13.5.1 $q_{i - t - 1} \leftarrow q_{i - t - 1} - 1$ \\ -\hspace{6mm}13.5.2 t$1 \leftarrow 0$ \\ -\hspace{6mm}13.5.3 t$1_0 \leftarrow y_{t - 1}, $ t$1_1 \leftarrow y_t,$ t$1.used \leftarrow 2$ \\ -\hspace{6mm}13.5.4 $t1 \leftarrow t1 \cdot q_{i - t - 1}$ \\ -\hspace{6mm}13.5.5 t$2_0 \leftarrow x_{i - 2}, $ t$2_1 \leftarrow x_{i - 1}, $ t$2_2 \leftarrow x_i, $ t$2.used \leftarrow 3$ \\ -\hspace{6mm}13.5.6 If $\vert t1 \vert > \vert t2 \vert$ then goto step 13.5. \\ -\hspace{3mm}13.6 t$1 \leftarrow y \cdot q_{i - t - 1}$ \\ -\hspace{3mm}13.7 t$1 \leftarrow $ t$1 \cdot \beta^{i - t - 1}$ \\ -\hspace{3mm}13.8 $x \leftarrow x - $ t$1$ \\ -\hspace{3mm}13.9 If $x.sign = MP\_NEG$ then \\ -\hspace{6mm}13.10 t$1 \leftarrow y$ \\ -\hspace{6mm}13.11 t$1 \leftarrow $ t$1 \cdot \beta^{i - t - 1}$ \\ -\hspace{6mm}13.12 $x \leftarrow x + $ t$1$ \\ -\hspace{6mm}13.13 $q_{i - t - 1} \leftarrow q_{i - t - 1} - 1$ \\ -\\ -Finalize the result. \\ -14. Clamp excess digits of $q$ \\ -15. $c \leftarrow q, c.sign \leftarrow sign$ \\ -16. $x.sign \leftarrow a.sign$ \\ -17. $d \leftarrow \lfloor x / 2^{norm} \rfloor$ \\ -18. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_div (continued)} -\end{figure} -\textbf{Algorithm mp\_div.} -This algorithm will calculate quotient and remainder from an integer division given a dividend and divisor. The algorithm is a signed -division and will produce a fully qualified quotient and remainder. - -First the divisor $b$ must be non-zero which is enforced in step one. If the divisor is larger than the dividend than the quotient is implicitly -zero and the remainder is the dividend. - -After the first two trivial cases of inputs are handled the variable $q$ is setup to receive the digits of the quotient. Two unsigned copies of the -divisor $y$ and dividend $x$ are made as well. The core of the division algorithm is an unsigned division and will only work if the values are -positive. Now the two values $x$ and $y$ must be normalized such that the leading digit of $y$ is greater than or equal to $\beta / 2$. -This is performed by shifting both to the left by enough bits to get the desired normalization. - -At this point the division algorithm can begin producing digits of the quotient. Recall that maximum value of the estimation used is -$2\beta - {2 \over \beta}$ which means that a digit of the quotient must be first produced by another means. In this case $y$ is shifted -to the left (\textit{step ten}) so that it has the same number of digits as $x$. The loop on step eleven will subtract multiples of the -shifted copy of $y$ until $x$ is smaller. Since the leading digit of $y$ is greater than or equal to $\beta/2$ this loop will iterate at most two -times to produce the desired leading digit of the quotient. - -Now the remainder of the digits can be produced. The equation $\hat q = \lfloor {{x_i \beta + x_{i-1}}\over y_t} \rfloor$ is used to fairly -accurately approximate the true quotient digit. The estimation can in theory produce an estimation as high as $2\beta - {2 \over \beta}$ but by -induction the upper quotient digit is correct (\textit{as established on step eleven}) and the estimate must be less than $\beta$. - -Recall from section~\ref{sec:divest} that the estimation is never too low but may be too high. The next step of the estimation process is -to refine the estimation. The loop on step 13.5 uses $x_i\beta^2 + x_{i-1}\beta + x_{i-2}$ and $q_{i - t - 1}(y_t\beta + y_{t-1})$ as a higher -order approximation to adjust the quotient digit. - -After both phases of estimation the quotient digit may still be off by a value of one\footnote{This is similar to the error introduced -by optimizing Barrett reduction.}. Steps 13.6 and 13.7 subtract the multiple of the divisor from the dividend (\textit{Similar to step 3.3 of -algorithm~\ref{fig:raddiv}} and then subsequently add a multiple of the divisor if the quotient was too large. - -Now that the quotient has been determine finializing the result is a matter of clamping the quotient, fixing the sizes and de-normalizing the -remainder. An important aspect of this algorithm seemingly overlooked in other descriptions such as that of Algorithm 14.20 HAC \cite[pp. 598]{HAC} -is that when the estimations are being made (\textit{inside the loop on step 13.5}) that the digits $y_{t-1}$, $x_{i-2}$ and $x_{i-1}$ may lie -outside their respective boundaries. For example, if $t = 0$ or $i \le 1$ then the digits would be undefined. In those cases the digits should -respectively be replaced with a zero. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_div.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The implementation of this algorithm differs slightly from the pseudo code presented previously. In this algorithm either of the quotient $c$ or -remainder $d$ may be passed as a \textbf{NULL} pointer which indicates their value is not desired. For example, the C code to call the division -algorithm with only the quotient is - -\begin{verbatim} -mp_div(&a, &b, &c, NULL); /* c = [a/b] */ -\end{verbatim} - -Lines 109 and 113 handle the two trivial cases of inputs which are division by zero and dividend smaller than the divisor -respectively. After the two trivial cases all of the temporary variables are initialized. Line 148 determines the sign of -the quotient and line 148 ensures that both $x$ and $y$ are positive. - -The number of bits in the leading digit is calculated on line 151. Implictly an mp\_int with $r$ digits will require $lg(\beta)(r-1) + k$ bits -of precision which when reduced modulo $lg(\beta)$ produces the value of $k$. In this case $k$ is the number of bits in the leading digit which is -exactly what is required. For the algorithm to operate $k$ must equal $lg(\beta) - 1$ and when it does not the inputs must be normalized by shifting -them to the left by $lg(\beta) - 1 - k$ bits. - -Throughout the variables $n$ and $t$ will represent the highest digit of $x$ and $y$ respectively. These are first used to produce the -leading digit of the quotient. The loop beginning on line 184 will produce the remainder of the quotient digits. - -The conditional ``continue'' on line 187 is used to prevent the algorithm from reading past the leading edge of $x$ which can occur when the -algorithm eliminates multiple non-zero digits in a single iteration. This ensures that $x_i$ is always non-zero since by definition the digits -above the $i$'th position $x$ must be zero in order for the quotient to be precise\footnote{Precise as far as integer division is concerned.}. - -Lines 214, 216 and 223 through 225 manually construct the high accuracy estimations by setting the digits of the two mp\_int -variables directly. - -\section{Single Digit Helpers} - -This section briefly describes a series of single digit helper algorithms which come in handy when working with small constants. All of -the helper functions assume the single digit input is positive and will treat them as such. - -\subsection{Single Digit Addition and Subtraction} - -Both addition and subtraction are performed by ``cheating'' and using mp\_set followed by the higher level addition or subtraction -algorithms. As a result these algorithms are subtantially simpler with a slight cost in performance. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_add\_d}. \\ -\textbf{Input}. mp\_int $a$ and a mp\_digit $b$ \\ -\textbf{Output}. $c = a + b$ \\ -\hline \\ -1. $t \leftarrow b$ (\textit{mp\_set}) \\ -2. $c \leftarrow a + t$ \\ -3. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_add\_d} -\end{figure} - -\textbf{Algorithm mp\_add\_d.} -This algorithm initiates a temporary mp\_int with the value of the single digit and uses algorithm mp\_add to add the two values together. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_add\_d.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -Clever use of the letter 't'. - -\subsubsection{Subtraction} -The single digit subtraction algorithm mp\_sub\_d is essentially the same except it uses mp\_sub to subtract the digit from the mp\_int. - -\subsection{Single Digit Multiplication} -Single digit multiplication arises enough in division and radix conversion that it ought to be implement as a special case of the baseline -multiplication algorithm. Essentially this algorithm is a modified version of algorithm s\_mp\_mul\_digs where one of the multiplicands -only has one digit. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_mul\_d}. \\ -\textbf{Input}. mp\_int $a$ and a mp\_digit $b$ \\ -\textbf{Output}. $c = ab$ \\ -\hline \\ -1. $pa \leftarrow a.used$ \\ -2. Grow $c$ to at least $pa + 1$ digits. \\ -3. $oldused \leftarrow c.used$ \\ -4. $c.used \leftarrow pa + 1$ \\ -5. $c.sign \leftarrow a.sign$ \\ -6. $\mu \leftarrow 0$ \\ -7. for $ix$ from $0$ to $pa - 1$ do \\ -\hspace{3mm}7.1 $\hat r \leftarrow \mu + a_{ix}b$ \\ -\hspace{3mm}7.2 $c_{ix} \leftarrow \hat r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{3mm}7.3 $\mu \leftarrow \lfloor \hat r / \beta \rfloor$ \\ -8. $c_{pa} \leftarrow \mu$ \\ -9. for $ix$ from $pa + 1$ to $oldused$ do \\ -\hspace{3mm}9.1 $c_{ix} \leftarrow 0$ \\ -10. Clamp excess digits of $c$. \\ -11. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_mul\_d} -\end{figure} -\textbf{Algorithm mp\_mul\_d.} -This algorithm quickly multiplies an mp\_int by a small single digit value. It is specially tailored to the job and has a minimal of overhead. -Unlike the full multiplication algorithms this algorithm does not require any significnat temporary storage or memory allocations. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_mul\_d.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -In this implementation the destination $c$ may point to the same mp\_int as the source $a$ since the result is written after the digit is -read from the source. This function uses pointer aliases $tmpa$ and $tmpc$ for the digits of $a$ and $c$ respectively. - -\subsection{Single Digit Division} -Like the single digit multiplication algorithm, single digit division is also a fairly common algorithm used in radix conversion. Since the -divisor is only a single digit a specialized variant of the division algorithm can be used to compute the quotient. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_div\_d}. \\ -\textbf{Input}. mp\_int $a$ and a mp\_digit $b$ \\ -\textbf{Output}. $c = \lfloor a / b \rfloor, d = a - cb$ \\ -\hline \\ -1. If $b = 0$ then return(\textit{MP\_VAL}).\\ -2. If $b = 3$ then use algorithm mp\_div\_3 instead. \\ -3. Init $q$ to $a.used$ digits. \\ -4. $q.used \leftarrow a.used$ \\ -5. $q.sign \leftarrow a.sign$ \\ -6. $\hat w \leftarrow 0$ \\ -7. for $ix$ from $a.used - 1$ down to $0$ do \\ -\hspace{3mm}7.1 $\hat w \leftarrow \hat w \beta + a_{ix}$ \\ -\hspace{3mm}7.2 If $\hat w \ge b$ then \\ -\hspace{6mm}7.2.1 $t \leftarrow \lfloor \hat w / b \rfloor$ \\ -\hspace{6mm}7.2.2 $\hat w \leftarrow \hat w \mbox{ (mod }b\mbox{)}$ \\ -\hspace{3mm}7.3 else\\ -\hspace{6mm}7.3.1 $t \leftarrow 0$ \\ -\hspace{3mm}7.4 $q_{ix} \leftarrow t$ \\ -8. $d \leftarrow \hat w$ \\ -9. Clamp excess digits of $q$. \\ -10. $c \leftarrow q$ \\ -11. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_div\_d} -\end{figure} -\textbf{Algorithm mp\_div\_d.} -This algorithm divides the mp\_int $a$ by the single mp\_digit $b$ using an optimized approach. Essentially in every iteration of the -algorithm another digit of the dividend is reduced and another digit of quotient produced. Provided $b < \beta$ the value of $\hat w$ -after step 7.1 will be limited such that $0 \le \lfloor \hat w / b \rfloor < \beta$. - -If the divisor $b$ is equal to three a variant of this algorithm is used which is called mp\_div\_3. It replaces the division by three with -a multiplication by $\lfloor \beta / 3 \rfloor$ and the appropriate shift and residual fixup. In essence it is much like the Barrett reduction -from chapter seven. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_div\_d.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -Like the implementation of algorithm mp\_div this algorithm allows either of the quotient or remainder to be passed as a \textbf{NULL} pointer to -indicate the respective value is not required. This allows a trivial single digit modular reduction algorithm, mp\_mod\_d to be created. - -The division and remainder on lines 44 and @45,%@ can be replaced often by a single division on most processors. For example, the 32-bit x86 based -processors can divide a 64-bit quantity by a 32-bit quantity and produce the quotient and remainder simultaneously. Unfortunately the GCC -compiler does not recognize that optimization and will actually produce two function calls to find the quotient and remainder respectively. - -\subsection{Single Digit Root Extraction} - -Finding the $n$'th root of an integer is fairly easy as far as numerical analysis is concerned. Algorithms such as the Newton-Raphson approximation -(\ref{eqn:newton}) series will converge very quickly to a root for any continuous function $f(x)$. - -\begin{equation} -x_{i+1} = x_i - {f(x_i) \over f'(x_i)} -\label{eqn:newton} -\end{equation} - -In this case the $n$'th root is desired and $f(x) = x^n - a$ where $a$ is the integer of which the root is desired. The derivative of $f(x)$ is -simply $f'(x) = nx^{n - 1}$. Of particular importance is that this algorithm will be used over the integers not over the a more continuous domain -such as the real numbers. As a result the root found can be above the true root by few and must be manually adjusted. Ideally at the end of the -algorithm the $n$'th root $b$ of an integer $a$ is desired such that $b^n \le a$. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_n\_root}. \\ -\textbf{Input}. mp\_int $a$ and a mp\_digit $b$ \\ -\textbf{Output}. $c^b \le a$ \\ -\hline \\ -1. If $b$ is even and $a.sign = MP\_NEG$ return(\textit{MP\_VAL}). \\ -2. $sign \leftarrow a.sign$ \\ -3. $a.sign \leftarrow MP\_ZPOS$ \\ -4. t$2 \leftarrow 2$ \\ -5. Loop \\ -\hspace{3mm}5.1 t$1 \leftarrow $ t$2$ \\ -\hspace{3mm}5.2 t$3 \leftarrow $ t$1^{b - 1}$ \\ -\hspace{3mm}5.3 t$2 \leftarrow $ t$3 $ $\cdot$ t$1$ \\ -\hspace{3mm}5.4 t$2 \leftarrow $ t$2 - a$ \\ -\hspace{3mm}5.5 t$3 \leftarrow $ t$3 \cdot b$ \\ -\hspace{3mm}5.6 t$3 \leftarrow \lfloor $t$2 / $t$3 \rfloor$ \\ -\hspace{3mm}5.7 t$2 \leftarrow $ t$1 - $ t$3$ \\ -\hspace{3mm}5.8 If t$1 \ne $ t$2$ then goto step 5. \\ -6. Loop \\ -\hspace{3mm}6.1 t$2 \leftarrow $ t$1^b$ \\ -\hspace{3mm}6.2 If t$2 > a$ then \\ -\hspace{6mm}6.2.1 t$1 \leftarrow $ t$1 - 1$ \\ -\hspace{6mm}6.2.2 Goto step 6. \\ -7. $a.sign \leftarrow sign$ \\ -8. $c \leftarrow $ t$1$ \\ -9. $c.sign \leftarrow sign$ \\ -10. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_n\_root} -\end{figure} -\textbf{Algorithm mp\_n\_root.} -This algorithm finds the integer $n$'th root of an input using the Newton-Raphson approach. It is partially optimized based on the observation -that the numerator of ${f(x) \over f'(x)}$ can be derived from a partial denominator. That is at first the denominator is calculated by finding -$x^{b - 1}$. This value can then be multiplied by $x$ and have $a$ subtracted from it to find the numerator. This saves a total of $b - 1$ -multiplications by t$1$ inside the loop. - -The initial value of the approximation is t$2 = 2$ which allows the algorithm to start with very small values and quickly converge on the -root. Ideally this algorithm is meant to find the $n$'th root of an input where $n$ is bounded by $2 \le n \le 5$. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_n\_root.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\section{Random Number Generation} - -Random numbers come up in a variety of activities from public key cryptography to simple simulations and various randomized algorithms. Pollard-Rho -factoring for example, can make use of random values as starting points to find factors of a composite integer. In this case the algorithm presented -is solely for simulations and not intended for cryptographic use. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_rand}. \\ -\textbf{Input}. An integer $b$ \\ -\textbf{Output}. A pseudo-random number of $b$ digits \\ -\hline \\ -1. $a \leftarrow 0$ \\ -2. If $b \le 0$ return(\textit{MP\_OKAY}) \\ -3. Pick a non-zero random digit $d$. \\ -4. $a \leftarrow a + d$ \\ -5. for $ix$ from 1 to $d - 1$ do \\ -\hspace{3mm}5.1 $a \leftarrow a \cdot \beta$ \\ -\hspace{3mm}5.2 Pick a random digit $d$. \\ -\hspace{3mm}5.3 $a \leftarrow a + d$ \\ -6. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_rand} -\end{figure} -\textbf{Algorithm mp\_rand.} -This algorithm produces a pseudo-random integer of $b$ digits. By ensuring that the first digit is non-zero the algorithm also guarantees that the -final result has at least $b$ digits. It relies heavily on a third-part random number generator which should ideally generate uniformly all of -the integers from $0$ to $\beta - 1$. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_rand.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\section{Formatted Representations} -The ability to emit a radix-$n$ textual representation of an integer is useful for interacting with human parties. For example, the ability to -be given a string of characters such as ``114585'' and turn it into the radix-$\beta$ equivalent would make it easier to enter numbers -into a program. - -\subsection{Reading Radix-n Input} -For the purposes of this text we will assume that a simple lower ASCII map (\ref{fig:ASC}) is used for the values of from $0$ to $63$ to -printable characters. For example, when the character ``N'' is read it represents the integer $23$. The first $16$ characters of the -map are for the common representations up to hexadecimal. After that they match the ``base64'' encoding scheme which are suitable chosen -such that they are printable. While outputting as base64 may not be too helpful for human operators it does allow communication via non binary -mediums. - -\newpage\begin{figure}[here] -\begin{center} -\begin{tabular}{cc|cc|cc|cc} -\hline \textbf{Value} & \textbf{Char} & \textbf{Value} & \textbf{Char} & \textbf{Value} & \textbf{Char} & \textbf{Value} & \textbf{Char} \\ -\hline -0 & 0 & 1 & 1 & 2 & 2 & 3 & 3 \\ -4 & 4 & 5 & 5 & 6 & 6 & 7 & 7 \\ -8 & 8 & 9 & 9 & 10 & A & 11 & B \\ -12 & C & 13 & D & 14 & E & 15 & F \\ -16 & G & 17 & H & 18 & I & 19 & J \\ -20 & K & 21 & L & 22 & M & 23 & N \\ -24 & O & 25 & P & 26 & Q & 27 & R \\ -28 & S & 29 & T & 30 & U & 31 & V \\ -32 & W & 33 & X & 34 & Y & 35 & Z \\ -36 & a & 37 & b & 38 & c & 39 & d \\ -40 & e & 41 & f & 42 & g & 43 & h \\ -44 & i & 45 & j & 46 & k & 47 & l \\ -48 & m & 49 & n & 50 & o & 51 & p \\ -52 & q & 53 & r & 54 & s & 55 & t \\ -56 & u & 57 & v & 58 & w & 59 & x \\ -60 & y & 61 & z & 62 & $+$ & 63 & $/$ \\ -\hline -\end{tabular} -\end{center} -\caption{Lower ASCII Map} -\label{fig:ASC} -\end{figure} - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_read\_radix}. \\ -\textbf{Input}. A string $str$ of length $sn$ and radix $r$. \\ -\textbf{Output}. The radix-$\beta$ equivalent mp\_int. \\ -\hline \\ -1. If $r < 2$ or $r > 64$ return(\textit{MP\_VAL}). \\ -2. $ix \leftarrow 0$ \\ -3. If $str_0 =$ ``-'' then do \\ -\hspace{3mm}3.1 $ix \leftarrow ix + 1$ \\ -\hspace{3mm}3.2 $sign \leftarrow MP\_NEG$ \\ -4. else \\ -\hspace{3mm}4.1 $sign \leftarrow MP\_ZPOS$ \\ -5. $a \leftarrow 0$ \\ -6. for $iy$ from $ix$ to $sn - 1$ do \\ -\hspace{3mm}6.1 Let $y$ denote the position in the map of $str_{iy}$. \\ -\hspace{3mm}6.2 If $str_{iy}$ is not in the map or $y \ge r$ then goto step 7. \\ -\hspace{3mm}6.3 $a \leftarrow a \cdot r$ \\ -\hspace{3mm}6.4 $a \leftarrow a + y$ \\ -7. If $a \ne 0$ then $a.sign \leftarrow sign$ \\ -8. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_read\_radix} -\end{figure} -\textbf{Algorithm mp\_read\_radix.} -This algorithm will read an ASCII string and produce the radix-$\beta$ mp\_int representation of the same integer. A minus symbol ``-'' may precede the -string to indicate the value is negative, otherwise it is assumed to be positive. The algorithm will read up to $sn$ characters from the input -and will stop when it reads a character it cannot map the algorithm stops reading characters from the string. This allows numbers to be embedded -as part of larger input without any significant problem. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_read\_radix.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\subsection{Generating Radix-$n$ Output} -Generating radix-$n$ output is fairly trivial with a division and remainder algorithm. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_toradix}. \\ -\textbf{Input}. A mp\_int $a$ and an integer $r$\\ -\textbf{Output}. The radix-$r$ representation of $a$ \\ -\hline \\ -1. If $r < 2$ or $r > 64$ return(\textit{MP\_VAL}). \\ -2. If $a = 0$ then $str = $ ``$0$'' and return(\textit{MP\_OKAY}). \\ -3. $t \leftarrow a$ \\ -4. $str \leftarrow$ ``'' \\ -5. if $t.sign = MP\_NEG$ then \\ -\hspace{3mm}5.1 $str \leftarrow str + $ ``-'' \\ -\hspace{3mm}5.2 $t.sign = MP\_ZPOS$ \\ -6. While ($t \ne 0$) do \\ -\hspace{3mm}6.1 $d \leftarrow t \mbox{ (mod }r\mbox{)}$ \\ -\hspace{3mm}6.2 $t \leftarrow \lfloor t / r \rfloor$ \\ -\hspace{3mm}6.3 Look up $d$ in the map and store the equivalent character in $y$. \\ -\hspace{3mm}6.4 $str \leftarrow str + y$ \\ -7. If $str_0 = $``$-$'' then \\ -\hspace{3mm}7.1 Reverse the digits $str_1, str_2, \ldots str_n$. \\ -8. Otherwise \\ -\hspace{3mm}8.1 Reverse the digits $str_0, str_1, \ldots str_n$. \\ -9. Return(\textit{MP\_OKAY}).\\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_toradix} -\end{figure} -\textbf{Algorithm mp\_toradix.} -This algorithm computes the radix-$r$ representation of an mp\_int $a$. The ``digits'' of the representation are extracted by reducing -successive powers of $\lfloor a / r^k \rfloor$ the input modulo $r$ until $r^k > a$. Note that instead of actually dividing by $r^k$ in -each iteration the quotient $\lfloor a / r \rfloor$ is saved for the next iteration. As a result a series of trivial $n \times 1$ divisions -are required instead of a series of $n \times k$ divisions. One design flaw of this approach is that the digits are produced in the reverse order -(see~\ref{fig:mpradix}). To remedy this flaw the digits must be swapped or simply ``reversed''. - -\begin{figure} -\begin{center} -\begin{tabular}{|c|c|c|} -\hline \textbf{Value of $a$} & \textbf{Value of $d$} & \textbf{Value of $str$} \\ -\hline $1234$ & -- & -- \\ -\hline $123$ & $4$ & ``4'' \\ -\hline $12$ & $3$ & ``43'' \\ -\hline $1$ & $2$ & ``432'' \\ -\hline $0$ & $1$ & ``4321'' \\ -\hline -\end{tabular} -\end{center} -\caption{Example of Algorithm mp\_toradix.} -\label{fig:mpradix} -\end{figure} - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_toradix.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\chapter{Number Theoretic Algorithms} -This chapter discusses several fundamental number theoretic algorithms such as the greatest common divisor, least common multiple and Jacobi -symbol computation. These algorithms arise as essential components in several key cryptographic algorithms such as the RSA public key algorithm and -various Sieve based factoring algorithms. - -\section{Greatest Common Divisor} -The greatest common divisor of two integers $a$ and $b$, often denoted as $(a, b)$ is the largest integer $k$ that is a proper divisor of -both $a$ and $b$. That is, $k$ is the largest integer such that $0 \equiv a \mbox{ (mod }k\mbox{)}$ and $0 \equiv b \mbox{ (mod }k\mbox{)}$ occur -simultaneously. - -The most common approach (cite) is to reduce one input modulo another. That is if $a$ and $b$ are divisible by some integer $k$ and if $qa + r = b$ then -$r$ is also divisible by $k$. The reduction pattern follows $\left < a , b \right > \rightarrow \left < b, a \mbox{ mod } b \right >$. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Greatest Common Divisor (I)}. \\ -\textbf{Input}. Two positive integers $a$ and $b$ greater than zero. \\ -\textbf{Output}. The greatest common divisor $(a, b)$. \\ -\hline \\ -1. While ($b > 0$) do \\ -\hspace{3mm}1.1 $r \leftarrow a \mbox{ (mod }b\mbox{)}$ \\ -\hspace{3mm}1.2 $a \leftarrow b$ \\ -\hspace{3mm}1.3 $b \leftarrow r$ \\ -2. Return($a$). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Greatest Common Divisor (I)} -\label{fig:gcd1} -\end{figure} - -This algorithm will quickly converge on the greatest common divisor since the residue $r$ tends diminish rapidly. However, divisions are -relatively expensive operations to perform and should ideally be avoided. There is another approach based on a similar relationship of -greatest common divisors. The faster approach is based on the observation that if $k$ divides both $a$ and $b$ it will also divide $a - b$. -In particular, we would like $a - b$ to decrease in magnitude which implies that $b \ge a$. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Greatest Common Divisor (II)}. \\ -\textbf{Input}. Two positive integers $a$ and $b$ greater than zero. \\ -\textbf{Output}. The greatest common divisor $(a, b)$. \\ -\hline \\ -1. While ($b > 0$) do \\ -\hspace{3mm}1.1 Swap $a$ and $b$ such that $a$ is the smallest of the two. \\ -\hspace{3mm}1.2 $b \leftarrow b - a$ \\ -2. Return($a$). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Greatest Common Divisor (II)} -\label{fig:gcd2} -\end{figure} - -\textbf{Proof} \textit{Algorithm~\ref{fig:gcd2} will return the greatest common divisor of $a$ and $b$.} -The algorithm in figure~\ref{fig:gcd2} will eventually terminate since $b \ge a$ the subtraction in step 1.2 will be a value less than $b$. In other -words in every iteration that tuple $\left < a, b \right >$ decrease in magnitude until eventually $a = b$. Since both $a$ and $b$ are always -divisible by the greatest common divisor (\textit{until the last iteration}) and in the last iteration of the algorithm $b = 0$, therefore, in the -second to last iteration of the algorithm $b = a$ and clearly $(a, a) = a$ which concludes the proof. \textbf{QED}. - -As a matter of practicality algorithm \ref{fig:gcd1} decreases far too slowly to be useful. Specially if $b$ is much larger than $a$ such that -$b - a$ is still very much larger than $a$. A simple addition to the algorithm is to divide $b - a$ by a power of some integer $p$ which does -not divide the greatest common divisor but will divide $b - a$. In this case ${b - a} \over p$ is also an integer and still divisible by -the greatest common divisor. - -However, instead of factoring $b - a$ to find a suitable value of $p$ the powers of $p$ can be removed from $a$ and $b$ that are in common first. -Then inside the loop whenever $b - a$ is divisible by some power of $p$ it can be safely removed. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Greatest Common Divisor (III)}. \\ -\textbf{Input}. Two positive integers $a$ and $b$ greater than zero. \\ -\textbf{Output}. The greatest common divisor $(a, b)$. \\ -\hline \\ -1. $k \leftarrow 0$ \\ -2. While $a$ and $b$ are both divisible by $p$ do \\ -\hspace{3mm}2.1 $a \leftarrow \lfloor a / p \rfloor$ \\ -\hspace{3mm}2.2 $b \leftarrow \lfloor b / p \rfloor$ \\ -\hspace{3mm}2.3 $k \leftarrow k + 1$ \\ -3. While $a$ is divisible by $p$ do \\ -\hspace{3mm}3.1 $a \leftarrow \lfloor a / p \rfloor$ \\ -4. While $b$ is divisible by $p$ do \\ -\hspace{3mm}4.1 $b \leftarrow \lfloor b / p \rfloor$ \\ -5. While ($b > 0$) do \\ -\hspace{3mm}5.1 Swap $a$ and $b$ such that $a$ is the smallest of the two. \\ -\hspace{3mm}5.2 $b \leftarrow b - a$ \\ -\hspace{3mm}5.3 While $b$ is divisible by $p$ do \\ -\hspace{6mm}5.3.1 $b \leftarrow \lfloor b / p \rfloor$ \\ -6. Return($a \cdot p^k$). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Greatest Common Divisor (III)} -\label{fig:gcd3} -\end{figure} - -This algorithm is based on the first except it removes powers of $p$ first and inside the main loop to ensure the tuple $\left < a, b \right >$ -decreases more rapidly. The first loop on step two removes powers of $p$ that are in common. A count, $k$, is kept which will present a common -divisor of $p^k$. After step two the remaining common divisor of $a$ and $b$ cannot be divisible by $p$. This means that $p$ can be safely -divided out of the difference $b - a$ so long as the division leaves no remainder. - -In particular the value of $p$ should be chosen such that the division on step 5.3.1 occur often. It also helps that division by $p$ be easy -to compute. The ideal choice of $p$ is two since division by two amounts to a right logical shift. Another important observation is that by -step five both $a$ and $b$ are odd. Therefore, the diffrence $b - a$ must be even which means that each iteration removes one bit from the -largest of the pair. - -\subsection{Complete Greatest Common Divisor} -The algorithms presented so far cannot handle inputs which are zero or negative. The following algorithm can handle all input cases properly -and will produce the greatest common divisor. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_gcd}. \\ -\textbf{Input}. mp\_int $a$ and $b$ \\ -\textbf{Output}. The greatest common divisor $c = (a, b)$. \\ -\hline \\ -1. If $a = 0$ then \\ -\hspace{3mm}1.1 $c \leftarrow \vert b \vert $ \\ -\hspace{3mm}1.2 Return(\textit{MP\_OKAY}). \\ -2. If $b = 0$ then \\ -\hspace{3mm}2.1 $c \leftarrow \vert a \vert $ \\ -\hspace{3mm}2.2 Return(\textit{MP\_OKAY}). \\ -3. $u \leftarrow \vert a \vert, v \leftarrow \vert b \vert$ \\ -4. $k \leftarrow 0$ \\ -5. While $u.used > 0$ and $v.used > 0$ and $u_0 \equiv v_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ \\ -\hspace{3mm}5.1 $k \leftarrow k + 1$ \\ -\hspace{3mm}5.2 $u \leftarrow \lfloor u / 2 \rfloor$ \\ -\hspace{3mm}5.3 $v \leftarrow \lfloor v / 2 \rfloor$ \\ -6. While $u.used > 0$ and $u_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ \\ -\hspace{3mm}6.1 $u \leftarrow \lfloor u / 2 \rfloor$ \\ -7. While $v.used > 0$ and $v_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ \\ -\hspace{3mm}7.1 $v \leftarrow \lfloor v / 2 \rfloor$ \\ -8. While $v.used > 0$ \\ -\hspace{3mm}8.1 If $\vert u \vert > \vert v \vert$ then \\ -\hspace{6mm}8.1.1 Swap $u$ and $v$. \\ -\hspace{3mm}8.2 $v \leftarrow \vert v \vert - \vert u \vert$ \\ -\hspace{3mm}8.3 While $v.used > 0$ and $v_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ \\ -\hspace{6mm}8.3.1 $v \leftarrow \lfloor v / 2 \rfloor$ \\ -9. $c \leftarrow u \cdot 2^k$ \\ -10. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_gcd} -\end{figure} -\textbf{Algorithm mp\_gcd.} -This algorithm will produce the greatest common divisor of two mp\_ints $a$ and $b$. The algorithm was originally based on Algorithm B of -Knuth \cite[pp. 338]{TAOCPV2} but has been modified to be simpler to explain. In theory it achieves the same asymptotic working time as -Algorithm B and in practice this appears to be true. - -The first two steps handle the cases where either one of or both inputs are zero. If either input is zero the greatest common divisor is the -largest input or zero if they are both zero. If the inputs are not trivial than $u$ and $v$ are assigned the absolute values of -$a$ and $b$ respectively and the algorithm will proceed to reduce the pair. - -Step five will divide out any common factors of two and keep track of the count in the variable $k$. After this step, two is no longer a -factor of the remaining greatest common divisor between $u$ and $v$ and can be safely evenly divided out of either whenever they are even. Step -six and seven ensure that the $u$ and $v$ respectively have no more factors of two. At most only one of the while--loops will iterate since -they cannot both be even. - -By step eight both of $u$ and $v$ are odd which is required for the inner logic. First the pair are swapped such that $v$ is equal to -or greater than $u$. This ensures that the subtraction on step 8.2 will always produce a positive and even result. Step 8.3 removes any -factors of two from the difference $u$ to ensure that in the next iteration of the loop both are once again odd. - -After $v = 0$ occurs the variable $u$ has the greatest common divisor of the pair $\left < u, v \right >$ just after step six. The result -must be adjusted by multiplying by the common factors of two ($2^k$) removed earlier. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_gcd.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -This function makes use of the macros mp\_iszero and mp\_iseven. The former evaluates to $1$ if the input mp\_int is equivalent to the -integer zero otherwise it evaluates to $0$. The latter evaluates to $1$ if the input mp\_int represents a non-zero even integer otherwise -it evaluates to $0$. Note that just because mp\_iseven may evaluate to $0$ does not mean the input is odd, it could also be zero. The three -trivial cases of inputs are handled on lines 24 through 30. After those lines the inputs are assumed to be non-zero. - -Lines 32 and 37 make local copies $u$ and $v$ of the inputs $a$ and $b$ respectively. At this point the common factors of two -must be divided out of the two inputs. The block starting at line 44 removes common factors of two by first counting the number of trailing -zero bits in both. The local integer $k$ is used to keep track of how many factors of $2$ are pulled out of both values. It is assumed that -the number of factors will not exceed the maximum value of a C ``int'' data type\footnote{Strictly speaking no array in C may have more than -entries than are accessible by an ``int'' so this is not a limitation.}. - -At this point there are no more common factors of two in the two values. The divisions by a power of two on lines 62 and 68 remove -any independent factors of two such that both $u$ and $v$ are guaranteed to be an odd integer before hitting the main body of the algorithm. The while loop -on line 73 performs the reduction of the pair until $v$ is equal to zero. The unsigned comparison and subtraction algorithms are used in -place of the full signed routines since both values are guaranteed to be positive and the result of the subtraction is guaranteed to be non-negative. - -\section{Least Common Multiple} -The least common multiple of a pair of integers is their product divided by their greatest common divisor. For two integers $a$ and $b$ the -least common multiple is normally denoted as $[ a, b ]$ and numerically equivalent to ${ab} \over {(a, b)}$. For example, if $a = 2 \cdot 2 \cdot 3 = 12$ -and $b = 2 \cdot 3 \cdot 3 \cdot 7 = 126$ the least common multiple is ${126 \over {(12, 126)}} = {126 \over 6} = 21$. - -The least common multiple arises often in coding theory as well as number theory. If two functions have periods of $a$ and $b$ respectively they will -collide, that is be in synchronous states, after only $[ a, b ]$ iterations. This is why, for example, random number generators based on -Linear Feedback Shift Registers (LFSR) tend to use registers with periods which are co-prime (\textit{e.g. the greatest common divisor is one.}). -Similarly in number theory if a composite $n$ has two prime factors $p$ and $q$ then maximal order of any unit of $\Z/n\Z$ will be $[ p - 1, q - 1] $. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_lcm}. \\ -\textbf{Input}. mp\_int $a$ and $b$ \\ -\textbf{Output}. The least common multiple $c = [a, b]$. \\ -\hline \\ -1. $c \leftarrow (a, b)$ \\ -2. $t \leftarrow a \cdot b$ \\ -3. $c \leftarrow \lfloor t / c \rfloor$ \\ -4. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_lcm} -\end{figure} -\textbf{Algorithm mp\_lcm.} -This algorithm computes the least common multiple of two mp\_int inputs $a$ and $b$. It computes the least common multiple directly by -dividing the product of the two inputs by their greatest common divisor. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_lcm.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\section{Jacobi Symbol Computation} -To explain the Jacobi Symbol we shall first discuss the Legendre function\footnote{Arrg. What is the name of this?} off which the Jacobi symbol is -defined. The Legendre function computes whether or not an integer $a$ is a quadratic residue modulo an odd prime $p$. Numerically it is -equivalent to equation \ref{eqn:legendre}. - -\textit{-- Tom, don't be an ass, cite your source here...!} - -\begin{equation} -a^{(p-1)/2} \equiv \begin{array}{rl} - -1 & \mbox{if }a\mbox{ is a quadratic non-residue.} \\ - 0 & \mbox{if }a\mbox{ divides }p\mbox{.} \\ - 1 & \mbox{if }a\mbox{ is a quadratic residue}. - \end{array} \mbox{ (mod }p\mbox{)} -\label{eqn:legendre} -\end{equation} - -\textbf{Proof.} \textit{Equation \ref{eqn:legendre} correctly identifies the residue status of an integer $a$ modulo a prime $p$.} -An integer $a$ is a quadratic residue if the following equation has a solution. - -\begin{equation} -x^2 \equiv a \mbox{ (mod }p\mbox{)} -\label{eqn:root} -\end{equation} - -Consider the following equation. - -\begin{equation} -0 \equiv x^{p-1} - 1 \equiv \left \lbrace \left (x^2 \right )^{(p-1)/2} - a^{(p-1)/2} \right \rbrace + \left ( a^{(p-1)/2} - 1 \right ) \mbox{ (mod }p\mbox{)} -\label{eqn:rooti} -\end{equation} - -Whether equation \ref{eqn:root} has a solution or not equation \ref{eqn:rooti} is always true. If $a^{(p-1)/2} - 1 \equiv 0 \mbox{ (mod }p\mbox{)}$ -then the quantity in the braces must be zero. By reduction, - -\begin{eqnarray} -\left (x^2 \right )^{(p-1)/2} - a^{(p-1)/2} \equiv 0 \nonumber \\ -\left (x^2 \right )^{(p-1)/2} \equiv a^{(p-1)/2} \nonumber \\ -x^2 \equiv a \mbox{ (mod }p\mbox{)} -\end{eqnarray} - -As a result there must be a solution to the quadratic equation and in turn $a$ must be a quadratic residue. If $a$ does not divide $p$ and $a$ -is not a quadratic residue then the only other value $a^{(p-1)/2}$ may be congruent to is $-1$ since -\begin{equation} -0 \equiv a^{p - 1} - 1 \equiv (a^{(p-1)/2} + 1)(a^{(p-1)/2} - 1) \mbox{ (mod }p\mbox{)} -\end{equation} -One of the terms on the right hand side must be zero. \textbf{QED} - -\subsection{Jacobi Symbol} -The Jacobi symbol is a generalization of the Legendre function for any odd non prime moduli $p$ greater than 2. If $p = \prod_{i=0}^n p_i$ then -the Jacobi symbol $\left ( { a \over p } \right )$ is equal to the following equation. - -\begin{equation} -\left ( { a \over p } \right ) = \left ( { a \over p_0} \right ) \left ( { a \over p_1} \right ) \ldots \left ( { a \over p_n} \right ) -\end{equation} - -By inspection if $p$ is prime the Jacobi symbol is equivalent to the Legendre function. The following facts\footnote{See HAC \cite[pp. 72-74]{HAC} for -further details.} will be used to derive an efficient Jacobi symbol algorithm. Where $p$ is an odd integer greater than two and $a, b \in \Z$ the -following are true. - -\begin{enumerate} -\item $\left ( { a \over p} \right )$ equals $-1$, $0$ or $1$. -\item $\left ( { ab \over p} \right ) = \left ( { a \over p} \right )\left ( { b \over p} \right )$. -\item If $a \equiv b$ then $\left ( { a \over p} \right ) = \left ( { b \over p} \right )$. -\item $\left ( { 2 \over p} \right )$ equals $1$ if $p \equiv 1$ or $7 \mbox{ (mod }8\mbox{)}$. Otherwise, it equals $-1$. -\item $\left ( { a \over p} \right ) \equiv \left ( { p \over a} \right ) \cdot (-1)^{(p-1)(a-1)/4}$. More specifically -$\left ( { a \over p} \right ) = \left ( { p \over a} \right )$ if $p \equiv a \equiv 1 \mbox{ (mod }4\mbox{)}$. -\end{enumerate} - -Using these facts if $a = 2^k \cdot a'$ then - -\begin{eqnarray} -\left ( { a \over p } \right ) = \left ( {{2^k} \over p } \right ) \left ( {a' \over p} \right ) \nonumber \\ - = \left ( {2 \over p } \right )^k \left ( {a' \over p} \right ) -\label{eqn:jacobi} -\end{eqnarray} - -By fact five, - -\begin{equation} -\left ( { a \over p } \right ) = \left ( { p \over a } \right ) \cdot (-1)^{(p-1)(a-1)/4} -\end{equation} - -Subsequently by fact three since $p \equiv (p \mbox{ mod }a) \mbox{ (mod }a\mbox{)}$ then - -\begin{equation} -\left ( { a \over p } \right ) = \left ( { {p \mbox{ mod } a} \over a } \right ) \cdot (-1)^{(p-1)(a-1)/4} -\end{equation} - -By putting both observations into equation \ref{eqn:jacobi} the following simplified equation is formed. - -\begin{equation} -\left ( { a \over p } \right ) = \left ( {2 \over p } \right )^k \left ( {{p\mbox{ mod }a'} \over a'} \right ) \cdot (-1)^{(p-1)(a'-1)/4} -\end{equation} - -The value of $\left ( {{p \mbox{ mod }a'} \over a'} \right )$ can be found by using the same equation recursively. The value of -$\left ( {2 \over p } \right )^k$ equals $1$ if $k$ is even otherwise it equals $\left ( {2 \over p } \right )$. Using this approach the -factors of $p$ do not have to be known. Furthermore, if $(a, p) = 1$ then the algorithm will terminate when the recursion requests the -Jacobi symbol computation of $\left ( {1 \over a'} \right )$ which is simply $1$. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_jacobi}. \\ -\textbf{Input}. mp\_int $a$ and $p$, $a \ge 0$, $p \ge 3$, $p \equiv 1 \mbox{ (mod }2\mbox{)}$ \\ -\textbf{Output}. The Jacobi symbol $c = \left ( {a \over p } \right )$. \\ -\hline \\ -1. If $a = 0$ then \\ -\hspace{3mm}1.1 $c \leftarrow 0$ \\ -\hspace{3mm}1.2 Return(\textit{MP\_OKAY}). \\ -2. If $a = 1$ then \\ -\hspace{3mm}2.1 $c \leftarrow 1$ \\ -\hspace{3mm}2.2 Return(\textit{MP\_OKAY}). \\ -3. $a' \leftarrow a$ \\ -4. $k \leftarrow 0$ \\ -5. While $a'.used > 0$ and $a'_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ \\ -\hspace{3mm}5.1 $k \leftarrow k + 1$ \\ -\hspace{3mm}5.2 $a' \leftarrow \lfloor a' / 2 \rfloor$ \\ -6. If $k \equiv 0 \mbox{ (mod }2\mbox{)}$ then \\ -\hspace{3mm}6.1 $s \leftarrow 1$ \\ -7. else \\ -\hspace{3mm}7.1 $r \leftarrow p_0 \mbox{ (mod }8\mbox{)}$ \\ -\hspace{3mm}7.2 If $r = 1$ or $r = 7$ then \\ -\hspace{6mm}7.2.1 $s \leftarrow 1$ \\ -\hspace{3mm}7.3 else \\ -\hspace{6mm}7.3.1 $s \leftarrow -1$ \\ -8. If $p_0 \equiv a'_0 \equiv 3 \mbox{ (mod }4\mbox{)}$ then \\ -\hspace{3mm}8.1 $s \leftarrow -s$ \\ -9. If $a' \ne 1$ then \\ -\hspace{3mm}9.1 $p' \leftarrow p \mbox{ (mod }a'\mbox{)}$ \\ -\hspace{3mm}9.2 $s \leftarrow s \cdot \mbox{mp\_jacobi}(p', a')$ \\ -10. $c \leftarrow s$ \\ -11. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_jacobi} -\end{figure} -\textbf{Algorithm mp\_jacobi.} -This algorithm computes the Jacobi symbol for an arbitrary positive integer $a$ with respect to an odd integer $p$ greater than three. The algorithm -is based on algorithm 2.149 of HAC \cite[pp. 73]{HAC}. - -Step numbers one and two handle the trivial cases of $a = 0$ and $a = 1$ respectively. Step five determines the number of two factors in the -input $a$. If $k$ is even than the term $\left ( { 2 \over p } \right )^k$ must always evaluate to one. If $k$ is odd than the term evaluates to one -if $p_0$ is congruent to one or seven modulo eight, otherwise it evaluates to $-1$. After the the $\left ( { 2 \over p } \right )^k$ term is handled -the $(-1)^{(p-1)(a'-1)/4}$ is computed and multiplied against the current product $s$. The latter term evaluates to one if both $p$ and $a'$ -are congruent to one modulo four, otherwise it evaluates to negative one. - -By step nine if $a'$ does not equal one a recursion is required. Step 9.1 computes $p' \equiv p \mbox{ (mod }a'\mbox{)}$ and will recurse to compute -$\left ( {p' \over a'} \right )$ which is multiplied against the current Jacobi product. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_jacobi.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -As a matter of practicality the variable $a'$ as per the pseudo-code is reprensented by the variable $a1$ since the $'$ symbol is not valid for a C -variable name character. - -The two simple cases of $a = 0$ and $a = 1$ are handled at the very beginning to simplify the algorithm. If the input is non-trivial the algorithm -has to proceed compute the Jacobi. The variable $s$ is used to hold the current Jacobi product. Note that $s$ is merely a C ``int'' data type since -the values it may obtain are merely $-1$, $0$ and $1$. - -After a local copy of $a$ is made all of the factors of two are divided out and the total stored in $k$. Technically only the least significant -bit of $k$ is required, however, it makes the algorithm simpler to follow to perform an addition. In practice an exclusive-or and addition have the same -processor requirements and neither is faster than the other. - -Line 58 through 71 determines the value of $\left ( { 2 \over p } \right )^k$. If the least significant bit of $k$ is zero than -$k$ is even and the value is one. Otherwise, the value of $s$ depends on which residue class $p$ belongs to modulo eight. The value of -$(-1)^{(p-1)(a'-1)/4}$ is compute and multiplied against $s$ on lines 71 through 74. - -Finally, if $a1$ does not equal one the algorithm must recurse and compute $\left ( {p' \over a'} \right )$. - -\textit{-- Comment about default $s$ and such...} - -\section{Modular Inverse} -\label{sec:modinv} -The modular inverse of a number actually refers to the modular multiplicative inverse. Essentially for any integer $a$ such that $(a, p) = 1$ there -exist another integer $b$ such that $ab \equiv 1 \mbox{ (mod }p\mbox{)}$. The integer $b$ is called the multiplicative inverse of $a$ which is -denoted as $b = a^{-1}$. Technically speaking modular inversion is a well defined operation for any finite ring or field not just for rings and -fields of integers. However, the former will be the matter of discussion. - -The simplest approach is to compute the algebraic inverse of the input. That is to compute $b \equiv a^{\Phi(p) - 1}$. If $\Phi(p)$ is the -order of the multiplicative subgroup modulo $p$ then $b$ must be the multiplicative inverse of $a$. The proof of which is trivial. - -\begin{equation} -ab \equiv a \left (a^{\Phi(p) - 1} \right ) \equiv a^{\Phi(p)} \equiv a^0 \equiv 1 \mbox{ (mod }p\mbox{)} -\end{equation} - -However, as simple as this approach may be it has two serious flaws. It requires that the value of $\Phi(p)$ be known which if $p$ is composite -requires all of the prime factors. This approach also is very slow as the size of $p$ grows. - -A simpler approach is based on the observation that solving for the multiplicative inverse is equivalent to solving the linear -Diophantine\footnote{See LeVeque \cite[pp. 40-43]{LeVeque} for more information.} equation. - -\begin{equation} -ab + pq = 1 -\end{equation} - -Where $a$, $b$, $p$ and $q$ are all integers. If such a pair of integers $ \left < b, q \right >$ exist than $b$ is the multiplicative inverse of -$a$ modulo $p$. The extended Euclidean algorithm (Knuth \cite[pp. 342]{TAOCPV2}) can be used to solve such equations provided $(a, p) = 1$. -However, instead of using that algorithm directly a variant known as the binary Extended Euclidean algorithm will be used in its place. The -binary approach is very similar to the binary greatest common divisor algorithm except it will produce a full solution to the Diophantine -equation. - -\subsection{General Case} -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_invmod}. \\ -\textbf{Input}. mp\_int $a$ and $b$, $(a, b) = 1$, $p \ge 2$, $0 < a < p$. \\ -\textbf{Output}. The modular inverse $c \equiv a^{-1} \mbox{ (mod }b\mbox{)}$. \\ -\hline \\ -1. If $b \le 0$ then return(\textit{MP\_VAL}). \\ -2. If $b_0 \equiv 1 \mbox{ (mod }2\mbox{)}$ then use algorithm fast\_mp\_invmod. \\ -3. $x \leftarrow \vert a \vert, y \leftarrow b$ \\ -4. If $x_0 \equiv y_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ then return(\textit{MP\_VAL}). \\ -5. $B \leftarrow 0, C \leftarrow 0, A \leftarrow 1, D \leftarrow 1$ \\ -6. While $u.used > 0$ and $u_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ \\ -\hspace{3mm}6.1 $u \leftarrow \lfloor u / 2 \rfloor$ \\ -\hspace{3mm}6.2 If ($A.used > 0$ and $A_0 \equiv 1 \mbox{ (mod }2\mbox{)}$) or ($B.used > 0$ and $B_0 \equiv 1 \mbox{ (mod }2\mbox{)}$) then \\ -\hspace{6mm}6.2.1 $A \leftarrow A + y$ \\ -\hspace{6mm}6.2.2 $B \leftarrow B - x$ \\ -\hspace{3mm}6.3 $A \leftarrow \lfloor A / 2 \rfloor$ \\ -\hspace{3mm}6.4 $B \leftarrow \lfloor B / 2 \rfloor$ \\ -7. While $v.used > 0$ and $v_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ \\ -\hspace{3mm}7.1 $v \leftarrow \lfloor v / 2 \rfloor$ \\ -\hspace{3mm}7.2 If ($C.used > 0$ and $C_0 \equiv 1 \mbox{ (mod }2\mbox{)}$) or ($D.used > 0$ and $D_0 \equiv 1 \mbox{ (mod }2\mbox{)}$) then \\ -\hspace{6mm}7.2.1 $C \leftarrow C + y$ \\ -\hspace{6mm}7.2.2 $D \leftarrow D - x$ \\ -\hspace{3mm}7.3 $C \leftarrow \lfloor C / 2 \rfloor$ \\ -\hspace{3mm}7.4 $D \leftarrow \lfloor D / 2 \rfloor$ \\ -8. If $u \ge v$ then \\ -\hspace{3mm}8.1 $u \leftarrow u - v$ \\ -\hspace{3mm}8.2 $A \leftarrow A - C$ \\ -\hspace{3mm}8.3 $B \leftarrow B - D$ \\ -9. else \\ -\hspace{3mm}9.1 $v \leftarrow v - u$ \\ -\hspace{3mm}9.2 $C \leftarrow C - A$ \\ -\hspace{3mm}9.3 $D \leftarrow D - B$ \\ -10. If $u \ne 0$ goto step 6. \\ -11. If $v \ne 1$ return(\textit{MP\_VAL}). \\ -12. While $C \le 0$ do \\ -\hspace{3mm}12.1 $C \leftarrow C + b$ \\ -13. While $C \ge b$ do \\ -\hspace{3mm}13.1 $C \leftarrow C - b$ \\ -14. $c \leftarrow C$ \\ -15. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\end{figure} -\textbf{Algorithm mp\_invmod.} -This algorithm computes the modular multiplicative inverse of an integer $a$ modulo an integer $b$. This algorithm is a variation of the -extended binary Euclidean algorithm from HAC \cite[pp. 608]{HAC}. It has been modified to only compute the modular inverse and not a complete -Diophantine solution. - -If $b \le 0$ than the modulus is invalid and MP\_VAL is returned. Similarly if both $a$ and $b$ are even then there cannot be a multiplicative -inverse for $a$ and the error is reported. - -The astute reader will observe that steps seven through nine are very similar to the binary greatest common divisor algorithm mp\_gcd. In this case -the other variables to the Diophantine equation are solved. The algorithm terminates when $u = 0$ in which case the solution is - -\begin{equation} -Ca + Db = v -\end{equation} - -If $v$, the greatest common divisor of $a$ and $b$ is not equal to one then the algorithm will report an error as no inverse exists. Otherwise, $C$ -is the modular inverse of $a$. The actual value of $C$ is congruent to, but not necessarily equal to, the ideal modular inverse which should lie -within $1 \le a^{-1} < b$. Step numbers twelve and thirteen adjust the inverse until it is in range. If the original input $a$ is within $0 < a < p$ -then only a couple of additions or subtractions will be required to adjust the inverse. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_invmod.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\subsubsection{Odd Moduli} - -When the modulus $b$ is odd the variables $A$ and $C$ are fixed and are not required to compute the inverse. In particular by attempting to solve -the Diophantine $Cb + Da = 1$ only $B$ and $D$ are required to find the inverse of $a$. - -The algorithm fast\_mp\_invmod is a direct adaptation of algorithm mp\_invmod with all all steps involving either $A$ or $C$ removed. This -optimization will halve the time required to compute the modular inverse. - -\section{Primality Tests} - -A non-zero integer $a$ is said to be prime if it is not divisible by any other integer excluding one and itself. For example, $a = 7$ is prime -since the integers $2 \ldots 6$ do not evenly divide $a$. By contrast, $a = 6$ is not prime since $a = 6 = 2 \cdot 3$. - -Prime numbers arise in cryptography considerably as they allow finite fields to be formed. The ability to determine whether an integer is prime or -not quickly has been a viable subject in cryptography and number theory for considerable time. The algorithms that will be presented are all -probablistic algorithms in that when they report an integer is composite it must be composite. However, when the algorithms report an integer is -prime the algorithm may be incorrect. - -As will be discussed it is possible to limit the probability of error so well that for practical purposes the probablity of error might as -well be zero. For the purposes of these discussions let $n$ represent the candidate integer of which the primality is in question. - -\subsection{Trial Division} - -Trial division means to attempt to evenly divide a candidate integer by small prime integers. If the candidate can be evenly divided it obviously -cannot be prime. By dividing by all primes $1 < p \le \sqrt{n}$ this test can actually prove whether an integer is prime. However, such a test -would require a prohibitive amount of time as $n$ grows. - -Instead of dividing by every prime, a smaller, more mangeable set of primes may be used instead. By performing trial division with only a subset -of the primes less than $\sqrt{n} + 1$ the algorithm cannot prove if a candidate is prime. However, often it can prove a candidate is not prime. - -The benefit of this test is that trial division by small values is fairly efficient. Specially compared to the other algorithms that will be -discussed shortly. The probability that this approach correctly identifies a composite candidate when tested with all primes upto $q$ is given by -$1 - {1.12 \over ln(q)}$. The graph (\ref{pic:primality}, will be added later) demonstrates the probability of success for the range -$3 \le q \le 100$. - -At approximately $q = 30$ the gain of performing further tests diminishes fairly quickly. At $q = 90$ further testing is generally not going to -be of any practical use. In the case of LibTomMath the default limit $q = 256$ was chosen since it is not too high and will eliminate -approximately $80\%$ of all candidate integers. The constant \textbf{PRIME\_SIZE} is equal to the number of primes in the test base. The -array \_\_prime\_tab is an array of the first \textbf{PRIME\_SIZE} prime numbers. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_prime\_is\_divisible}. \\ -\textbf{Input}. mp\_int $a$ \\ -\textbf{Output}. $c = 1$ if $n$ is divisible by a small prime, otherwise $c = 0$. \\ -\hline \\ -1. for $ix$ from $0$ to $PRIME\_SIZE$ do \\ -\hspace{3mm}1.1 $d \leftarrow n \mbox{ (mod }\_\_prime\_tab_{ix}\mbox{)}$ \\ -\hspace{3mm}1.2 If $d = 0$ then \\ -\hspace{6mm}1.2.1 $c \leftarrow 1$ \\ -\hspace{6mm}1.2.2 Return(\textit{MP\_OKAY}). \\ -2. $c \leftarrow 0$ \\ -3. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_prime\_is\_divisible} -\end{figure} -\textbf{Algorithm mp\_prime\_is\_divisible.} -This algorithm attempts to determine if a candidate integer $n$ is composite by performing trial divisions. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_prime\_is\_divisible.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The algorithm defaults to a return of $0$ in case an error occurs. The values in the prime table are all specified to be in the range of a -mp\_digit. The table \_\_prime\_tab is defined in the following file. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_prime\_tab.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -Note that there are two possible tables. When an mp\_digit is 7-bits long only the primes upto $127$ may be included, otherwise the primes -upto $1619$ are used. Note that the value of \textbf{PRIME\_SIZE} is a constant dependent on the size of a mp\_digit. - -\subsection{The Fermat Test} -The Fermat test is probably one the oldest tests to have a non-trivial probability of success. It is based on the fact that if $n$ is in -fact prime then $a^{n} \equiv a \mbox{ (mod }n\mbox{)}$ for all $0 < a < n$. The reason being that if $n$ is prime than the order of -the multiplicative sub group is $n - 1$. Any base $a$ must have an order which divides $n - 1$ and as such $a^n$ is equivalent to -$a^1 = a$. - -If $n$ is composite then any given base $a$ does not have to have a period which divides $n - 1$. In which case -it is possible that $a^n \nequiv a \mbox{ (mod }n\mbox{)}$. However, this test is not absolute as it is possible that the order -of a base will divide $n - 1$ which would then be reported as prime. Such a base yields what is known as a Fermat pseudo-prime. Several -integers known as Carmichael numbers will be a pseudo-prime to all valid bases. Fortunately such numbers are extremely rare as $n$ grows -in size. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_prime\_fermat}. \\ -\textbf{Input}. mp\_int $a$ and $b$, $a \ge 2$, $0 < b < a$. \\ -\textbf{Output}. $c = 1$ if $b^a \equiv b \mbox{ (mod }a\mbox{)}$, otherwise $c = 0$. \\ -\hline \\ -1. $t \leftarrow b^a \mbox{ (mod }a\mbox{)}$ \\ -2. If $t = b$ then \\ -\hspace{3mm}2.1 $c = 1$ \\ -3. else \\ -\hspace{3mm}3.1 $c = 0$ \\ -4. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_prime\_fermat} -\end{figure} -\textbf{Algorithm mp\_prime\_fermat.} -This algorithm determines whether an mp\_int $a$ is a Fermat prime to the base $b$ or not. It uses a single modular exponentiation to -determine the result. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_prime\_fermat.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\subsection{The Miller-Rabin Test} -The Miller-Rabin (citation) test is another primality test which has tighter error bounds than the Fermat test specifically with sequentially chosen -candidate integers. The algorithm is based on the observation that if $n - 1 = 2^kr$ and if $b^r \nequiv \pm 1$ then after upto $k - 1$ squarings the -value must be equal to $-1$. The squarings are stopped as soon as $-1$ is observed. If the value of $1$ is observed first it means that -some value not congruent to $\pm 1$ when squared equals one which cannot occur if $n$ is prime. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_prime\_miller\_rabin}. \\ -\textbf{Input}. mp\_int $a$ and $b$, $a \ge 2$, $0 < b < a$. \\ -\textbf{Output}. $c = 1$ if $a$ is a Miller-Rabin prime to the base $a$, otherwise $c = 0$. \\ -\hline -1. $a' \leftarrow a - 1$ \\ -2. $r \leftarrow n1$ \\ -3. $c \leftarrow 0, s \leftarrow 0$ \\ -4. While $r.used > 0$ and $r_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ \\ -\hspace{3mm}4.1 $s \leftarrow s + 1$ \\ -\hspace{3mm}4.2 $r \leftarrow \lfloor r / 2 \rfloor$ \\ -5. $y \leftarrow b^r \mbox{ (mod }a\mbox{)}$ \\ -6. If $y \nequiv \pm 1$ then \\ -\hspace{3mm}6.1 $j \leftarrow 1$ \\ -\hspace{3mm}6.2 While $j \le (s - 1)$ and $y \nequiv a'$ \\ -\hspace{6mm}6.2.1 $y \leftarrow y^2 \mbox{ (mod }a\mbox{)}$ \\ -\hspace{6mm}6.2.2 If $y = 1$ then goto step 8. \\ -\hspace{6mm}6.2.3 $j \leftarrow j + 1$ \\ -\hspace{3mm}6.3 If $y \nequiv a'$ goto step 8. \\ -7. $c \leftarrow 1$\\ -8. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_prime\_miller\_rabin} -\end{figure} -\textbf{Algorithm mp\_prime\_miller\_rabin.} -This algorithm performs one trial round of the Miller-Rabin algorithm to the base $b$. It will set $c = 1$ if the algorithm cannot determine -if $b$ is composite or $c = 0$ if $b$ is provably composite. The values of $s$ and $r$ are computed such that $a' = a - 1 = 2^sr$. - -If the value $y \equiv b^r$ is congruent to $\pm 1$ then the algorithm cannot prove if $a$ is composite or not. Otherwise, the algorithm will -square $y$ upto $s - 1$ times stopping only when $y \equiv -1$. If $y^2 \equiv 1$ and $y \nequiv \pm 1$ then the algorithm can report that $a$ -is provably composite. If the algorithm performs $s - 1$ squarings and $y \nequiv -1$ then $a$ is provably composite. If $a$ is not provably -composite then it is \textit{probably} prime. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_prime\_miller\_rabin.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - - - - -\backmatter -\appendix -\begin{thebibliography}{ABCDEF} -\bibitem[1]{TAOCPV2} -Donald Knuth, \textit{The Art of Computer Programming}, Third Edition, Volume Two, Seminumerical Algorithms, Addison-Wesley, 1998 - -\bibitem[2]{HAC} -A. Menezes, P. van Oorschot, S. Vanstone, \textit{Handbook of Applied Cryptography}, CRC Press, 1996 - -\bibitem[3]{ROSE} -Michael Rosing, \textit{Implementing Elliptic Curve Cryptography}, Manning Publications, 1999 - -\bibitem[4]{COMBA} -Paul G. Comba, \textit{Exponentiation Cryptosystems on the IBM PC}. IBM Systems Journal 29(4): 526-538 (1990) - -\bibitem[5]{KARA} -A. Karatsuba, Doklay Akad. Nauk SSSR 145 (1962), pp.293-294 - -\bibitem[6]{KARAP} -Andre Weimerskirch and Christof Paar, \textit{Generalizations of the Karatsuba Algorithm for Polynomial Multiplication}, Submitted to Design, Codes and Cryptography, March 2002 - -\bibitem[7]{BARRETT} -Paul Barrett, \textit{Implementing the Rivest Shamir and Adleman Public Key Encryption Algorithm on a Standard Digital Signal Processor}, Advances in Cryptology, Crypto '86, Springer-Verlag. - -\bibitem[8]{MONT} -P.L.Montgomery. \textit{Modular multiplication without trial division}. Mathematics of Computation, 44(170):519-521, April 1985. - -\bibitem[9]{DRMET} -Chae Hoon Lim and Pil Joong Lee, \textit{Generating Efficient Primes for Discrete Log Cryptosystems}, POSTECH Information Research Laboratories - -\bibitem[10]{MMB} -J. Daemen and R. Govaerts and J. Vandewalle, \textit{Block ciphers based on Modular Arithmetic}, State and {P}rogress in the {R}esearch of {C}ryptography, 1993, pp. 80-89 - -\bibitem[11]{RSAREF} -R.L. Rivest, A. Shamir, L. Adleman, \textit{A Method for Obtaining Digital Signatures and Public-Key Cryptosystems} - -\bibitem[12]{DHREF} -Whitfield Diffie, Martin E. Hellman, \textit{New Directions in Cryptography}, IEEE Transactions on Information Theory, 1976 - -\bibitem[13]{IEEE} -IEEE Standard for Binary Floating-Point Arithmetic (ANSI/IEEE Std 754-1985) - -\bibitem[14]{GMP} -GNU Multiple Precision (GMP), \url{http://www.swox.com/gmp/} - -\bibitem[15]{MPI} -Multiple Precision Integer Library (MPI), Michael Fromberger, \url{http://thayer.dartmouth.edu/~sting/mpi/} - -\bibitem[16]{OPENSSL} -OpenSSL Cryptographic Toolkit, \url{http://openssl.org} - -\bibitem[17]{LIP} -Large Integer Package, \url{http://home.hetnet.nl/~ecstr/LIP.zip} - -\bibitem[18]{ISOC} -JTC1/SC22/WG14, ISO/IEC 9899:1999, ``A draft rationale for the C99 standard.'' - -\bibitem[19]{JAVA} -The Sun Java Website, \url{http://java.sun.com/} - -\end{thebibliography} - -\input{tommath.ind} - -\end{document} diff --git a/libtommath/tommath_class.h b/libtommath/tommath_class.h index b9cc902..2085521 100644 --- a/libtommath/tommath_class.h +++ b/libtommath/tommath_class.h @@ -38,7 +38,9 @@ #define BN_MP_DR_REDUCE_C #define BN_MP_DR_SETUP_C #define BN_MP_EXCH_C +#define BN_MP_EXPORT_C #define BN_MP_EXPT_D_C +#define BN_MP_EXPT_D_EX_C #define BN_MP_EXPTMOD_C #define BN_MP_EXPTMOD_FAST_C #define BN_MP_EXTEUCLID_C @@ -46,7 +48,10 @@ #define BN_MP_FWRITE_C #define BN_MP_GCD_C #define BN_MP_GET_INT_C +#define BN_MP_GET_LONG_C +#define BN_MP_GET_LONG_LONG_C #define BN_MP_GROW_C +#define BN_MP_IMPORT_C #define BN_MP_INIT_C #define BN_MP_INIT_COPY_C #define BN_MP_INIT_MULTI_C @@ -73,6 +78,7 @@ #define BN_MP_MUL_D_C #define BN_MP_MULMOD_C #define BN_MP_N_ROOT_C +#define BN_MP_N_ROOT_EX_C #define BN_MP_NEG_C #define BN_MP_OR_C #define BN_MP_PRIME_FERMAT_C @@ -99,11 +105,14 @@ #define BN_MP_RSHD_C #define BN_MP_SET_C #define BN_MP_SET_INT_C +#define BN_MP_SET_LONG_C +#define BN_MP_SET_LONG_LONG_C #define BN_MP_SHRINK_C #define BN_MP_SIGNED_BIN_SIZE_C #define BN_MP_SQR_C #define BN_MP_SQRMOD_C #define BN_MP_SQRT_C +#define BN_MP_SQRTMOD_PRIME_C #define BN_MP_SUB_C #define BN_MP_SUB_D_C #define BN_MP_SUBMOD_C @@ -315,12 +324,23 @@ #if defined(BN_MP_EXCH_C) #endif +#if defined(BN_MP_EXPORT_C) + #define BN_MP_INIT_COPY_C + #define BN_MP_COUNT_BITS_C + #define BN_MP_DIV_2D_C + #define BN_MP_CLEAR_C +#endif + #if defined(BN_MP_EXPT_D_C) + #define BN_MP_EXPT_D_EX_C +#endif + +#if defined(BN_MP_EXPT_D_EX_C) #define BN_MP_INIT_COPY_C #define BN_MP_SET_C - #define BN_MP_SQR_C - #define BN_MP_CLEAR_C #define BN_MP_MUL_C + #define BN_MP_CLEAR_C + #define BN_MP_SQR_C #endif #if defined(BN_MP_EXPTMOD_C) @@ -387,7 +407,6 @@ #if defined(BN_MP_GCD_C) #define BN_MP_ISZERO_C #define BN_MP_ABS_C - #define BN_MP_ZERO_C #define BN_MP_INIT_COPY_C #define BN_MP_CNT_LSB_C #define BN_MP_DIV_2D_C @@ -401,13 +420,26 @@ #if defined(BN_MP_GET_INT_C) #endif +#if defined(BN_MP_GET_LONG_C) +#endif + +#if defined(BN_MP_GET_LONG_LONG_C) +#endif + #if defined(BN_MP_GROW_C) #endif +#if defined(BN_MP_IMPORT_C) + #define BN_MP_ZERO_C + #define BN_MP_MUL_2D_C + #define BN_MP_CLAMP_C +#endif + #if defined(BN_MP_INIT_C) #endif #if defined(BN_MP_INIT_COPY_C) + #define BN_MP_INIT_SIZE_C #define BN_MP_COPY_C #endif @@ -481,8 +513,9 @@ #define BN_MP_MUL_C #define BN_MP_INIT_SIZE_C #define BN_MP_CLAMP_C - #define BN_MP_SUB_C + #define BN_S_MP_ADD_C #define BN_MP_ADD_C + #define BN_S_MP_SUB_C #define BN_MP_LSHD_C #define BN_MP_CLEAR_C #endif @@ -491,8 +524,8 @@ #define BN_MP_INIT_SIZE_C #define BN_MP_CLAMP_C #define BN_MP_SQR_C - #define BN_MP_SUB_C #define BN_S_MP_ADD_C + #define BN_S_MP_SUB_C #define BN_MP_LSHD_C #define BN_MP_ADD_C #define BN_MP_CLEAR_C @@ -516,8 +549,9 @@ #define BN_MP_INIT_C #define BN_MP_DIV_C #define BN_MP_CLEAR_C - #define BN_MP_ADD_C + #define BN_MP_ISZERO_C #define BN_MP_EXCH_C + #define BN_MP_ADD_C #endif #if defined(BN_MP_MOD_2D_C) @@ -583,10 +617,14 @@ #endif #if defined(BN_MP_N_ROOT_C) + #define BN_MP_N_ROOT_EX_C +#endif + +#if defined(BN_MP_N_ROOT_EX_C) #define BN_MP_INIT_C #define BN_MP_SET_C #define BN_MP_COPY_C - #define BN_MP_EXPT_D_C + #define BN_MP_EXPT_D_EX_C #define BN_MP_MUL_C #define BN_MP_SUB_C #define BN_MP_MUL_D_C @@ -667,9 +705,9 @@ #endif #if defined(BN_MP_RADIX_SIZE_C) + #define BN_MP_ISZERO_C #define BN_MP_COUNT_BITS_C #define BN_MP_INIT_COPY_C - #define BN_MP_ISZERO_C #define BN_MP_DIV_D_C #define BN_MP_CLEAR_C #endif @@ -687,7 +725,6 @@ #if defined(BN_MP_READ_RADIX_C) #define BN_MP_ZERO_C #define BN_MP_S_RMAP_C - #define BN_MP_RADIX_SMAP_C #define BN_MP_MUL_D_C #define BN_MP_ADD_D_C #define BN_MP_ISZERO_C @@ -788,6 +825,12 @@ #define BN_MP_CLAMP_C #endif +#if defined(BN_MP_SET_LONG_C) +#endif + +#if defined(BN_MP_SET_LONG_LONG_C) +#endif + #if defined(BN_MP_SHRINK_C) #endif @@ -823,6 +866,25 @@ #define BN_MP_CLEAR_C #endif +#if defined(BN_MP_SQRTMOD_PRIME_C) + #define BN_MP_CMP_D_C + #define BN_MP_ZERO_C + #define BN_MP_JACOBI_C + #define BN_MP_INIT_MULTI_C + #define BN_MP_MOD_D_C + #define BN_MP_ADD_D_C + #define BN_MP_DIV_2_C + #define BN_MP_EXPTMOD_C + #define BN_MP_COPY_C + #define BN_MP_SUB_D_C + #define BN_MP_ISEVEN_C + #define BN_MP_SET_INT_C + #define BN_MP_SQRMOD_C + #define BN_MP_MULMOD_C + #define BN_MP_SET_C + #define BN_MP_CLEAR_MULTI_C +#endif + #if defined(BN_MP_SUB_C) #define BN_S_MP_ADD_C #define BN_MP_CMP_MAG_C diff --git a/libtommath/tommath_superclass.h b/libtommath/tommath_superclass.h index e3926df..1b26841 100644 --- a/libtommath/tommath_superclass.h +++ b/libtommath/tommath_superclass.h @@ -70,3 +70,7 @@ #endif #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/unix/Makefile.in b/unix/Makefile.in index 570bce0..70e7c9f3f2 100644 --- a/unix/Makefile.in +++ b/unix/Makefile.in @@ -320,8 +320,8 @@ TOMMATH_OBJS = bncore.o bn_reverse.o bn_fast_s_mp_mul_digs.o \ bn_mp_cnt_lsb.o bn_mp_copy.o \ bn_mp_count_bits.o bn_mp_div.o bn_mp_div_d.o bn_mp_div_2.o \ bn_mp_div_2d.o bn_mp_div_3.o \ - bn_mp_exch.o bn_mp_expt_d.o bn_mp_grow.o bn_mp_init.o \ - bn_mp_init_copy.o bn_mp_init_multi.o bn_mp_init_set.o \ + bn_mp_exch.o bn_mp_expt_d_ex.o bn_mp_expt_d.o bn_mp_grow.o \ + bn_mp_init.o bn_mp_init_copy.o bn_mp_init_multi.o bn_mp_init_set.o \ bn_mp_init_set_int.o bn_mp_init_size.o bn_mp_karatsuba_mul.o \ bn_mp_karatsuba_sqr.o \ bn_mp_lshd.o bn_mp_mod.o bn_mp_mod_2d.o bn_mp_mul.o bn_mp_mul_2.o \ @@ -502,6 +502,7 @@ TOMMATH_SRCS = \ $(TOMMATH_DIR)/bn_mp_div_2d.c \ $(TOMMATH_DIR)/bn_mp_div_3.c \ $(TOMMATH_DIR)/bn_mp_exch.c \ + $(TOMMATH_DIR)/bn_mp_expt_d_ex.c \ $(TOMMATH_DIR)/bn_mp_expt_d.c \ $(TOMMATH_DIR)/bn_mp_grow.c \ $(TOMMATH_DIR)/bn_mp_init.c \ @@ -1417,6 +1418,9 @@ bn_mp_div_3.o: $(TOMMATH_DIR)/bn_mp_div_3.c $(MATHHDRS) bn_mp_exch.o: $(TOMMATH_DIR)/bn_mp_exch.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_exch.c +bn_mp_expt_d_ex.o: $(TOMMATH_DIR)/bn_mp_expt_d_ex.c $(MATHHDRS) + $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_expt_d_ex.c + bn_mp_expt_d.o: $(TOMMATH_DIR)/bn_mp_expt_d.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_expt_d.c -- cgit v0.12 From 8377ed833a9566731442ef744b419425638d5040 Mon Sep 17 00:00:00 2001 From: gahr Date: Sun, 13 Mar 2016 17:23:31 +0000 Subject: [e6f27aa56f] Add files I missed in my previous commit --- libtommath/bn_mp_export.c | 88 ++++++++++++++++++++++++++ libtommath/bn_mp_expt_d_ex.c | 83 ++++++++++++++++++++++++ libtommath/bn_mp_get_long.c | 41 ++++++++++++ libtommath/bn_mp_get_long_long.c | 41 ++++++++++++ libtommath/bn_mp_import.c | 73 ++++++++++++++++++++++ libtommath/bn_mp_n_root_ex.c | 132 +++++++++++++++++++++++++++++++++++++++ libtommath/bn_mp_set_long.c | 24 +++++++ libtommath/bn_mp_set_long_long.c | 24 +++++++ libtommath/bn_mp_sqrtmod_prime.c | 124 ++++++++++++++++++++++++++++++++++++ libtommath/tommath_private.h | 125 ++++++++++++++++++++++++++++++++++++ 10 files changed, 755 insertions(+) create mode 100644 libtommath/bn_mp_export.c create mode 100644 libtommath/bn_mp_expt_d_ex.c create mode 100644 libtommath/bn_mp_get_long.c create mode 100644 libtommath/bn_mp_get_long_long.c create mode 100644 libtommath/bn_mp_import.c create mode 100644 libtommath/bn_mp_n_root_ex.c create mode 100644 libtommath/bn_mp_set_long.c create mode 100644 libtommath/bn_mp_set_long_long.c create mode 100644 libtommath/bn_mp_sqrtmod_prime.c create mode 100644 libtommath/tommath_private.h diff --git a/libtommath/bn_mp_export.c b/libtommath/bn_mp_export.c new file mode 100644 index 0000000..ac4c2f9 --- /dev/null +++ b/libtommath/bn_mp_export.c @@ -0,0 +1,88 @@ +#include +#ifdef BN_MP_EXPORT_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org + */ + +/* based on gmp's mpz_export. + * see http://gmplib.org/manual/Integer-Import-and-Export.html + */ +int mp_export(void* rop, size_t* countp, int order, size_t size, + int endian, size_t nails, mp_int* op) { + int result; + size_t odd_nails, nail_bytes, i, j, bits, count; + unsigned char odd_nail_mask; + + mp_int t; + + if ((result = mp_init_copy(&t, op)) != MP_OKAY) { + return result; + } + + if (endian == 0) { + union { + unsigned int i; + char c[4]; + } lint; + lint.i = 0x01020304; + + endian = (lint.c[0] == 4) ? -1 : 1; + } + + odd_nails = (nails % 8); + odd_nail_mask = 0xff; + for (i = 0; i < odd_nails; ++i) { + odd_nail_mask ^= (1 << (7 - i)); + } + nail_bytes = nails / 8; + + bits = mp_count_bits(&t); + count = (bits / ((size * 8) - nails)) + (((bits % ((size * 8) - nails)) != 0) ? 1 : 0); + + for (i = 0; i < count; ++i) { + for (j = 0; j < size; ++j) { + unsigned char* byte = ( + (unsigned char*)rop + + (((order == -1) ? i : ((count - 1) - i)) * size) + + ((endian == -1) ? j : ((size - 1) - j)) + ); + + if (j >= (size - nail_bytes)) { + *byte = 0; + continue; + } + + *byte = (unsigned char)((j == ((size - nail_bytes) - 1)) ? (t.dp[0] & odd_nail_mask) : (t.dp[0] & 0xFF)); + + if ((result = mp_div_2d(&t, ((j == ((size - nail_bytes) - 1)) ? (8 - odd_nails) : 8), &t, NULL)) != MP_OKAY) { + mp_clear(&t); + return result; + } + } + } + + mp_clear(&t); + + if (countp != NULL) { + *countp = count; + } + + return MP_OKAY; +} + +#endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_expt_d_ex.c b/libtommath/bn_mp_expt_d_ex.c new file mode 100644 index 0000000..649d224 --- /dev/null +++ b/libtommath/bn_mp_expt_d_ex.c @@ -0,0 +1,83 @@ +#include +#ifdef BN_MP_EXPT_D_EX_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org + */ + +/* calculate c = a**b using a square-multiply algorithm */ +int mp_expt_d_ex (mp_int * a, mp_digit b, mp_int * c, int fast) +{ + int res; + unsigned int x; + + mp_int g; + + if ((res = mp_init_copy (&g, a)) != MP_OKAY) { + return res; + } + + /* set initial result */ + mp_set (c, 1); + + if (fast != 0) { + while (b > 0) { + /* if the bit is set multiply */ + if ((b & 1) != 0) { + if ((res = mp_mul (c, &g, c)) != MP_OKAY) { + mp_clear (&g); + return res; + } + } + + /* square */ + if (b > 1) { + if ((res = mp_sqr (&g, &g)) != MP_OKAY) { + mp_clear (&g); + return res; + } + } + + /* shift to next bit */ + b >>= 1; + } + } + else { + for (x = 0; x < DIGIT_BIT; x++) { + /* square */ + if ((res = mp_sqr (c, c)) != MP_OKAY) { + mp_clear (&g); + return res; + } + + /* if the bit is set multiply */ + if ((b & (mp_digit) (((mp_digit)1) << (DIGIT_BIT - 1))) != 0) { + if ((res = mp_mul (c, &g, c)) != MP_OKAY) { + mp_clear (&g); + return res; + } + } + + /* shift to next bit */ + b <<= 1; + } + } /* if ... else */ + + mp_clear (&g); + return MP_OKAY; +} +#endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_get_long.c b/libtommath/bn_mp_get_long.c new file mode 100644 index 0000000..7c3d0fe --- /dev/null +++ b/libtommath/bn_mp_get_long.c @@ -0,0 +1,41 @@ +#include +#ifdef BN_MP_GET_LONG_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org + */ + +/* get the lower unsigned long of an mp_int, platform dependent */ +unsigned long mp_get_long(mp_int * a) +{ + int i; + unsigned long res; + + if (a->used == 0) { + return 0; + } + + /* get number of digits of the lsb we have to read */ + i = MIN(a->used,(int)(((sizeof(unsigned long) * CHAR_BIT) + DIGIT_BIT - 1) / DIGIT_BIT)) - 1; + + /* get most significant digit of result */ + res = DIGIT(a,i); + +#if (ULONG_MAX != 0xffffffffuL) || (DIGIT_BIT < 32) + while (--i >= 0) { + res = (res << DIGIT_BIT) | DIGIT(a,i); + } +#endif + return res; +} +#endif diff --git a/libtommath/bn_mp_get_long_long.c b/libtommath/bn_mp_get_long_long.c new file mode 100644 index 0000000..4b959e6 --- /dev/null +++ b/libtommath/bn_mp_get_long_long.c @@ -0,0 +1,41 @@ +#include +#ifdef BN_MP_GET_LONG_LONG_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org + */ + +/* get the lower unsigned long long of an mp_int, platform dependent */ +unsigned long long mp_get_long_long (mp_int * a) +{ + int i; + unsigned long long res; + + if (a->used == 0) { + return 0; + } + + /* get number of digits of the lsb we have to read */ + i = MIN(a->used,(int)(((sizeof(unsigned long long) * CHAR_BIT) + DIGIT_BIT - 1) / DIGIT_BIT)) - 1; + + /* get most significant digit of result */ + res = DIGIT(a,i); + +#if DIGIT_BIT < 64 + while (--i >= 0) { + res = (res << DIGIT_BIT) | DIGIT(a,i); + } +#endif + return res; +} +#endif diff --git a/libtommath/bn_mp_import.c b/libtommath/bn_mp_import.c new file mode 100644 index 0000000..dd4b8e6 --- /dev/null +++ b/libtommath/bn_mp_import.c @@ -0,0 +1,73 @@ +#include +#ifdef BN_MP_IMPORT_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org + */ + +/* based on gmp's mpz_import. + * see http://gmplib.org/manual/Integer-Import-and-Export.html + */ +int mp_import(mp_int* rop, size_t count, int order, size_t size, + int endian, size_t nails, const void* op) { + int result; + size_t odd_nails, nail_bytes, i, j; + unsigned char odd_nail_mask; + + mp_zero(rop); + + if (endian == 0) { + union { + unsigned int i; + char c[4]; + } lint; + lint.i = 0x01020304; + + endian = (lint.c[0] == 4) ? -1 : 1; + } + + odd_nails = (nails % 8); + odd_nail_mask = 0xff; + for (i = 0; i < odd_nails; ++i) { + odd_nail_mask ^= (1 << (7 - i)); + } + nail_bytes = nails / 8; + + for (i = 0; i < count; ++i) { + for (j = 0; j < (size - nail_bytes); ++j) { + unsigned char byte = *( + (unsigned char*)op + + (((order == 1) ? i : ((count - 1) - i)) * size) + + ((endian == 1) ? (j + nail_bytes) : (((size - 1) - j) - nail_bytes)) + ); + + if ( + (result = mp_mul_2d(rop, ((j == 0) ? (8 - odd_nails) : 8), rop)) != MP_OKAY) { + return result; + } + + rop->dp[0] |= (j == 0) ? (byte & odd_nail_mask) : byte; + rop->used += 1; + } + } + + mp_clamp(rop); + + return MP_OKAY; +} + +#endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_n_root_ex.c b/libtommath/bn_mp_n_root_ex.c new file mode 100644 index 0000000..79d1dfb --- /dev/null +++ b/libtommath/bn_mp_n_root_ex.c @@ -0,0 +1,132 @@ +#include +#ifdef BN_MP_N_ROOT_EX_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org + */ + +/* find the n'th root of an integer + * + * Result found such that (c)**b <= a and (c+1)**b > a + * + * This algorithm uses Newton's approximation + * x[i+1] = x[i] - f(x[i])/f'(x[i]) + * which will find the root in log(N) time where + * each step involves a fair bit. This is not meant to + * find huge roots [square and cube, etc]. + */ +int mp_n_root_ex (mp_int * a, mp_digit b, mp_int * c, int fast) +{ + mp_int t1, t2, t3; + int res, neg; + + /* input must be positive if b is even */ + if (((b & 1) == 0) && (a->sign == MP_NEG)) { + return MP_VAL; + } + + if ((res = mp_init (&t1)) != MP_OKAY) { + return res; + } + + if ((res = mp_init (&t2)) != MP_OKAY) { + goto LBL_T1; + } + + if ((res = mp_init (&t3)) != MP_OKAY) { + goto LBL_T2; + } + + /* if a is negative fudge the sign but keep track */ + neg = a->sign; + a->sign = MP_ZPOS; + + /* t2 = 2 */ + mp_set (&t2, 2); + + do { + /* t1 = t2 */ + if ((res = mp_copy (&t2, &t1)) != MP_OKAY) { + goto LBL_T3; + } + + /* t2 = t1 - ((t1**b - a) / (b * t1**(b-1))) */ + + /* t3 = t1**(b-1) */ + if ((res = mp_expt_d_ex (&t1, b - 1, &t3, fast)) != MP_OKAY) { + goto LBL_T3; + } + + /* numerator */ + /* t2 = t1**b */ + if ((res = mp_mul (&t3, &t1, &t2)) != MP_OKAY) { + goto LBL_T3; + } + + /* t2 = t1**b - a */ + if ((res = mp_sub (&t2, a, &t2)) != MP_OKAY) { + goto LBL_T3; + } + + /* denominator */ + /* t3 = t1**(b-1) * b */ + if ((res = mp_mul_d (&t3, b, &t3)) != MP_OKAY) { + goto LBL_T3; + } + + /* t3 = (t1**b - a)/(b * t1**(b-1)) */ + if ((res = mp_div (&t2, &t3, &t3, NULL)) != MP_OKAY) { + goto LBL_T3; + } + + if ((res = mp_sub (&t1, &t3, &t2)) != MP_OKAY) { + goto LBL_T3; + } + } while (mp_cmp (&t1, &t2) != MP_EQ); + + /* result can be off by a few so check */ + for (;;) { + if ((res = mp_expt_d_ex (&t1, b, &t2, fast)) != MP_OKAY) { + goto LBL_T3; + } + + if (mp_cmp (&t2, a) == MP_GT) { + if ((res = mp_sub_d (&t1, 1, &t1)) != MP_OKAY) { + goto LBL_T3; + } + } else { + break; + } + } + + /* reset the sign of a first */ + a->sign = neg; + + /* set the result */ + mp_exch (&t1, c); + + /* set the sign of the result */ + c->sign = neg; + + res = MP_OKAY; + +LBL_T3:mp_clear (&t3); +LBL_T2:mp_clear (&t2); +LBL_T1:mp_clear (&t1); + return res; +} +#endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_set_long.c b/libtommath/bn_mp_set_long.c new file mode 100644 index 0000000..281fce7 --- /dev/null +++ b/libtommath/bn_mp_set_long.c @@ -0,0 +1,24 @@ +#include +#ifdef BN_MP_SET_LONG_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org + */ + +/* set a platform dependent unsigned long int */ +MP_SET_XLONG(mp_set_long, unsigned long) +#endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_set_long_long.c b/libtommath/bn_mp_set_long_long.c new file mode 100644 index 0000000..3c4b01a --- /dev/null +++ b/libtommath/bn_mp_set_long_long.c @@ -0,0 +1,24 @@ +#include +#ifdef BN_MP_SET_LONG_LONG_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org + */ + +/* set a platform dependent unsigned long long int */ +MP_SET_XLONG(mp_set_long_long, unsigned long long) +#endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_sqrtmod_prime.c b/libtommath/bn_mp_sqrtmod_prime.c new file mode 100644 index 0000000..968729e --- /dev/null +++ b/libtommath/bn_mp_sqrtmod_prime.c @@ -0,0 +1,124 @@ +#include +#ifdef BN_MP_SQRTMOD_PRIME_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library is free for all purposes without any express + * guarantee it works. + */ + +/* Tonelli-Shanks algorithm + * https://en.wikipedia.org/wiki/Tonelli%E2%80%93Shanks_algorithm + * https://gmplib.org/list-archives/gmp-discuss/2013-April/005300.html + * + */ + +int mp_sqrtmod_prime(mp_int *n, mp_int *prime, mp_int *ret) +{ + int res, legendre; + mp_int t1, C, Q, S, Z, M, T, R, two; + mp_digit i; + + /* first handle the simple cases */ + if (mp_cmp_d(n, 0) == MP_EQ) { + mp_zero(ret); + return MP_OKAY; + } + if (mp_cmp_d(prime, 2) == MP_EQ) return MP_VAL; /* prime must be odd */ + if ((res = mp_jacobi(n, prime, &legendre)) != MP_OKAY) return res; + if (legendre == -1) return MP_VAL; /* quadratic non-residue mod prime */ + + if ((res = mp_init_multi(&t1, &C, &Q, &S, &Z, &M, &T, &R, &two, NULL)) != MP_OKAY) { + return res; + } + + /* SPECIAL CASE: if prime mod 4 == 3 + * compute directly: res = n^(prime+1)/4 mod prime + * Handbook of Applied Cryptography algorithm 3.36 + */ + if ((res = mp_mod_d(prime, 4, &i)) != MP_OKAY) goto cleanup; + if (i == 3) { + if ((res = mp_add_d(prime, 1, &t1)) != MP_OKAY) goto cleanup; + if ((res = mp_div_2(&t1, &t1)) != MP_OKAY) goto cleanup; + if ((res = mp_div_2(&t1, &t1)) != MP_OKAY) goto cleanup; + if ((res = mp_exptmod(n, &t1, prime, ret)) != MP_OKAY) goto cleanup; + res = MP_OKAY; + goto cleanup; + } + + /* NOW: Tonelli-Shanks algorithm */ + + /* factor out powers of 2 from prime-1, defining Q and S as: prime-1 = Q*2^S */ + if ((res = mp_copy(prime, &Q)) != MP_OKAY) goto cleanup; + if ((res = mp_sub_d(&Q, 1, &Q)) != MP_OKAY) goto cleanup; + /* Q = prime - 1 */ + mp_zero(&S); + /* S = 0 */ + while (mp_iseven(&Q) != MP_NO) { + if ((res = mp_div_2(&Q, &Q)) != MP_OKAY) goto cleanup; + /* Q = Q / 2 */ + if ((res = mp_add_d(&S, 1, &S)) != MP_OKAY) goto cleanup; + /* S = S + 1 */ + } + + /* find a Z such that the Legendre symbol (Z|prime) == -1 */ + if ((res = mp_set_int(&Z, 2)) != MP_OKAY) goto cleanup; + /* Z = 2 */ + while(1) { + if ((res = mp_jacobi(&Z, prime, &legendre)) != MP_OKAY) goto cleanup; + if (legendre == -1) break; + if ((res = mp_add_d(&Z, 1, &Z)) != MP_OKAY) goto cleanup; + /* Z = Z + 1 */ + } + + if ((res = mp_exptmod(&Z, &Q, prime, &C)) != MP_OKAY) goto cleanup; + /* C = Z ^ Q mod prime */ + if ((res = mp_add_d(&Q, 1, &t1)) != MP_OKAY) goto cleanup; + if ((res = mp_div_2(&t1, &t1)) != MP_OKAY) goto cleanup; + /* t1 = (Q + 1) / 2 */ + if ((res = mp_exptmod(n, &t1, prime, &R)) != MP_OKAY) goto cleanup; + /* R = n ^ ((Q + 1) / 2) mod prime */ + if ((res = mp_exptmod(n, &Q, prime, &T)) != MP_OKAY) goto cleanup; + /* T = n ^ Q mod prime */ + if ((res = mp_copy(&S, &M)) != MP_OKAY) goto cleanup; + /* M = S */ + if ((res = mp_set_int(&two, 2)) != MP_OKAY) goto cleanup; + + res = MP_VAL; + while (1) { + if ((res = mp_copy(&T, &t1)) != MP_OKAY) goto cleanup; + i = 0; + while (1) { + if (mp_cmp_d(&t1, 1) == MP_EQ) break; + if ((res = mp_exptmod(&t1, &two, prime, &t1)) != MP_OKAY) goto cleanup; + i++; + } + if (i == 0) { + if ((res = mp_copy(&R, ret)) != MP_OKAY) goto cleanup; + res = MP_OKAY; + goto cleanup; + } + if ((res = mp_sub_d(&M, i, &t1)) != MP_OKAY) goto cleanup; + if ((res = mp_sub_d(&t1, 1, &t1)) != MP_OKAY) goto cleanup; + if ((res = mp_exptmod(&two, &t1, prime, &t1)) != MP_OKAY) goto cleanup; + /* t1 = 2 ^ (M - i - 1) */ + if ((res = mp_exptmod(&C, &t1, prime, &t1)) != MP_OKAY) goto cleanup; + /* t1 = C ^ (2 ^ (M - i - 1)) mod prime */ + if ((res = mp_sqrmod(&t1, prime, &C)) != MP_OKAY) goto cleanup; + /* C = (t1 * t1) mod prime */ + if ((res = mp_mulmod(&R, &t1, prime, &R)) != MP_OKAY) goto cleanup; + /* R = (R * t1) mod prime */ + if ((res = mp_mulmod(&T, &C, prime, &T)) != MP_OKAY) goto cleanup; + /* T = (T * C) mod prime */ + mp_set(&M, i); + /* M = i */ + } + +cleanup: + mp_clear_multi(&t1, &C, &Q, &S, &Z, &M, &T, &R, &two, NULL); + return res; +} + +#endif diff --git a/libtommath/tommath_private.h b/libtommath/tommath_private.h new file mode 100644 index 0000000..d23c333 --- /dev/null +++ b/libtommath/tommath_private.h @@ -0,0 +1,125 @@ +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://math.libtomcrypt.com + */ +#ifndef TOMMATH_PRIV_H_ +#define TOMMATH_PRIV_H_ + +#include +#include + +#ifndef MIN +#define MIN(x,y) (((x) < (y)) ? (x) : (y)) +#endif + +#ifndef MAX +#define MAX(x,y) (((x) > (y)) ? (x) : (y)) +#endif + +#ifdef __cplusplus +extern "C" { + +/* C++ compilers don't like assigning void * to mp_digit * */ +#define OPT_CAST(x) (x *) + +#else + +/* C on the other hand doesn't care */ +#define OPT_CAST(x) + +#endif + +/* define heap macros */ +#if 0 +#ifndef XMALLOC + /* default to libc stuff */ + #define XMALLOC malloc + #define XFREE free + #define XREALLOC realloc + #define XCALLOC calloc +#else + /* prototypes for our heap functions */ + extern void *XMALLOC(size_t n); + extern void *XREALLOC(void *p, size_t n); + extern void *XCALLOC(size_t n, size_t s); + extern void XFREE(void *p); +#endif +#endif + +/* lowlevel functions, do not call! */ +int s_mp_add(mp_int *a, mp_int *b, mp_int *c); +int s_mp_sub(mp_int *a, mp_int *b, mp_int *c); +#define s_mp_mul(a, b, c) s_mp_mul_digs(a, b, c, (a)->used + (b)->used + 1) +int fast_s_mp_mul_digs(mp_int *a, mp_int *b, mp_int *c, int digs); +int s_mp_mul_digs(mp_int *a, mp_int *b, mp_int *c, int digs); +int fast_s_mp_mul_high_digs(mp_int *a, mp_int *b, mp_int *c, int digs); +int s_mp_mul_high_digs(mp_int *a, mp_int *b, mp_int *c, int digs); +int fast_s_mp_sqr(mp_int *a, mp_int *b); +int s_mp_sqr(mp_int *a, mp_int *b); +int mp_karatsuba_mul(mp_int *a, mp_int *b, mp_int *c); +int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c); +int mp_karatsuba_sqr(mp_int *a, mp_int *b); +int mp_toom_sqr(mp_int *a, mp_int *b); +int fast_mp_invmod(mp_int *a, mp_int *b, mp_int *c); +int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c); +int fast_mp_montgomery_reduce(mp_int *x, mp_int *n, mp_digit rho); +int mp_exptmod_fast(mp_int *G, mp_int *X, mp_int *P, mp_int *Y, int redmode); +int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode); +void bn_reverse(unsigned char *s, int len); + +extern const char *mp_s_rmap; + +/* Fancy macro to set an MPI from another type. + * There are several things assumed: + * x is the counter and unsigned + * a is the pointer to the MPI + * b is the original value that should be set in the MPI. + */ +#define MP_SET_XLONG(func_name, type) \ +int func_name (mp_int * a, type b) \ +{ \ + unsigned int x; \ + int res; \ + \ + mp_zero (a); \ + \ + /* set four bits at a time */ \ + for (x = 0; x < (sizeof(type) * 2u); x++) { \ + /* shift the number up four bits */ \ + if ((res = mp_mul_2d (a, 4, a)) != MP_OKAY) { \ + return res; \ + } \ + \ + /* OR in the top four bits of the source */ \ + a->dp[0] |= (b >> ((sizeof(type) * 8u) - 4u)) & 15u; \ + \ + /* shift the source up to the next four bits */ \ + b <<= 4; \ + \ + /* ensure that digits are not clamped off */ \ + a->used += 1; \ + } \ + mp_clamp (a); \ + return MP_OKAY; \ +} + +#ifdef __cplusplus + } +#endif + +#endif + + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ -- cgit v0.12 From 91a20bc018f04bcf8ce13412ad16cfcbe9e53489 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 16 Mar 2016 09:56:55 +0000 Subject: Remove undocumented TCL_HASH_KEY_STORE_HASH. Setting this to "0" is not supported (was it ever ????), and not tested for long time. --- generic/tcl.h | 18 ------------------ generic/tclHash.c | 37 ------------------------------------- 2 files changed, 55 deletions(-) diff --git a/generic/tcl.h b/generic/tcl.h index 58ba7e5..3cd90a9 100644 --- a/generic/tcl.h +++ b/generic/tcl.h @@ -1165,18 +1165,6 @@ typedef Tcl_HashEntry * (Tcl_AllocHashEntryProc) (Tcl_HashTable *tablePtr, typedef void (Tcl_FreeHashEntryProc) (Tcl_HashEntry *hPtr); /* - * This flag controls whether the hash table stores the hash of a key, or - * recalculates it. There should be no reason for turning this flag off as it - * is completely binary and source compatible unless you directly access the - * bucketPtr member of the Tcl_HashTableEntry structure. This member has been - * removed and the space used to store the hash value. - */ - -#ifndef TCL_HASH_KEY_STORE_HASH -# define TCL_HASH_KEY_STORE_HASH 1 -#endif - -/* * Structure definition for an entry in a hash table. No-one outside Tcl * should access any of these fields directly; use the macros defined below. */ @@ -1185,15 +1173,9 @@ struct Tcl_HashEntry { Tcl_HashEntry *nextPtr; /* Pointer to next entry in this hash bucket, * or NULL for end of chain. */ Tcl_HashTable *tablePtr; /* Pointer to table containing entry. */ -#if TCL_HASH_KEY_STORE_HASH void *hash; /* Hash value, stored as pointer to ensure * that the offsets of the fields in this * structure are not changed. */ -#else - Tcl_HashEntry **bucketPtr; /* Pointer to bucket that points to first - * entry in this entry's chain: used for - * deleting the entry. */ -#endif ClientData clientData; /* Application stores something here with * Tcl_SetHashValue. */ union { /* Key has one of these forms: */ diff --git a/generic/tclHash.c b/generic/tclHash.c index 1991aea..3ea9dd9 100644 --- a/generic/tclHash.c +++ b/generic/tclHash.c @@ -321,11 +321,9 @@ CreateHashEntry( for (hPtr = tablePtr->buckets[index]; hPtr != NULL; hPtr = hPtr->nextPtr) { -#if TCL_HASH_KEY_STORE_HASH if (hash != PTR2UINT(hPtr->hash)) { continue; } -#endif if (((void *) key == hPtr) || compareKeysProc((void *) key, hPtr)) { if (newPtr) { *newPtr = 0; @@ -336,11 +334,9 @@ CreateHashEntry( } else { for (hPtr = tablePtr->buckets[index]; hPtr != NULL; hPtr = hPtr->nextPtr) { -#if TCL_HASH_KEY_STORE_HASH if (hash != PTR2UINT(hPtr->hash)) { continue; } -#endif if (key == hPtr->key.oneWordValue) { if (newPtr) { *newPtr = 0; @@ -368,15 +364,9 @@ CreateHashEntry( } hPtr->tablePtr = tablePtr; -#if TCL_HASH_KEY_STORE_HASH hPtr->hash = UINT2PTR(hash); hPtr->nextPtr = tablePtr->buckets[index]; tablePtr->buckets[index] = hPtr; -#else - hPtr->bucketPtr = &tablePtr->buckets[index]; - hPtr->nextPtr = *hPtr->bucketPtr; - *hPtr->bucketPtr = hPtr; -#endif tablePtr->numEntries++; /* @@ -416,9 +406,7 @@ Tcl_DeleteHashEntry( const Tcl_HashKeyType *typePtr; Tcl_HashTable *tablePtr; Tcl_HashEntry **bucketPtr; -#if TCL_HASH_KEY_STORE_HASH int index; -#endif tablePtr = entryPtr->tablePtr; @@ -433,7 +421,6 @@ Tcl_DeleteHashEntry( typePtr = &tclArrayHashKeyType; } -#if TCL_HASH_KEY_STORE_HASH if (typePtr->hashKeyProc == NULL || typePtr->flags & TCL_HASH_KEY_RANDOMIZE_HASH) { index = RANDOM_INDEX(tablePtr, PTR2INT(entryPtr->hash)); @@ -442,9 +429,6 @@ Tcl_DeleteHashEntry( } bucketPtr = &tablePtr->buckets[index]; -#else - bucketPtr = entryPtr->bucketPtr; -#endif if (*bucketPtr == entryPtr) { *bucketPtr = entryPtr->nextPtr; @@ -1062,7 +1046,6 @@ RebuildTable( for (oldChainPtr = oldBuckets; oldSize > 0; oldSize--, oldChainPtr++) { for (hPtr = *oldChainPtr; hPtr != NULL; hPtr = *oldChainPtr) { *oldChainPtr = hPtr->nextPtr; -#if TCL_HASH_KEY_STORE_HASH if (typePtr->hashKeyProc == NULL || typePtr->flags & TCL_HASH_KEY_RANDOMIZE_HASH) { index = RANDOM_INDEX(tablePtr, PTR2INT(hPtr->hash)); @@ -1071,26 +1054,6 @@ RebuildTable( } hPtr->nextPtr = tablePtr->buckets[index]; tablePtr->buckets[index] = hPtr; -#else - void *key = Tcl_GetHashKey(tablePtr, hPtr); - - if (typePtr->hashKeyProc) { - unsigned int hash; - - hash = typePtr->hashKeyProc(tablePtr, key); - if (typePtr->flags & TCL_HASH_KEY_RANDOMIZE_HASH) { - index = RANDOM_INDEX(tablePtr, hash); - } else { - index = hash & tablePtr->mask; - } - } else { - index = RANDOM_INDEX(tablePtr, key); - } - - hPtr->bucketPtr = &tablePtr->buckets[index]; - hPtr->nextPtr = *hPtr->bucketPtr; - *hPtr->bucketPtr = hPtr; -#endif } } -- cgit v0.12 From d291d84481a5f1d56df04bfffcd53fae1a5c8a00 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 21 Mar 2016 09:05:34 +0000 Subject: Proposed fix for [d3071887dbc7aeac]: Fix SEGV in Tcl_FinalizeNotifier() --- unix/tclUnixNotfy.c | 2 ++ 1 file changed, 2 insertions(+) diff --git a/unix/tclUnixNotfy.c b/unix/tclUnixNotfy.c index 48ba0cc..3946c7d 100644 --- a/unix/tclUnixNotfy.c +++ b/unix/tclUnixNotfy.c @@ -433,9 +433,11 @@ Tcl_FinalizeNotifier( "unable to write q to triggerPipe"); } close(triggerPipe); + pthread_mutex_lock(¬ifierMutex); while(triggerPipe != -1) { pthread_cond_wait(¬ifierCV, ¬ifierMutex); } + pthread_mutex_lock(¬ifierMutex); if (notifierThreadRunning) { int result = pthread_join((pthread_t) notifierThread, NULL); -- cgit v0.12 From c031c59ec3e4290d29f9c819b2640e90a176ad13 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 21 Mar 2016 09:16:28 +0000 Subject: .... oops .... --- unix/tclUnixNotfy.c | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/unix/tclUnixNotfy.c b/unix/tclUnixNotfy.c index 3946c7d..1457890 100644 --- a/unix/tclUnixNotfy.c +++ b/unix/tclUnixNotfy.c @@ -437,7 +437,7 @@ Tcl_FinalizeNotifier( while(triggerPipe != -1) { pthread_cond_wait(¬ifierCV, ¬ifierMutex); } - pthread_mutex_lock(¬ifierMutex); + pthread_mutex_unlock(¬ifierMutex); if (notifierThreadRunning) { int result = pthread_join((pthread_t) notifierThread, NULL); -- cgit v0.12 From a4933e22d0b56bf07cf35cb90eb1f6fd6c9e48cb Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 21 Mar 2016 14:22:52 +0000 Subject: (experiment) Use TclpMasterLock() in stead of a separate notifierInitMutex. One less mutex to be worried about. --- generic/tclInt.h | 1 + unix/tclUnixNotfy.c | 21 ++++++++++----------- unix/tclUnixThrd.c | 25 +++++++++++++++++++++++++ win/tclWinNotify.c | 26 ++++++++++++++++++-------- 4 files changed, 54 insertions(+), 19 deletions(-) diff --git a/generic/tclInt.h b/generic/tclInt.h index 42c13dd..da792aa 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -3059,6 +3059,7 @@ MODULE_SCOPE void TclpInitUnlock(void); MODULE_SCOPE Tcl_Obj * TclpObjListVolumes(void); MODULE_SCOPE void TclpMasterLock(void); MODULE_SCOPE void TclpMasterUnlock(void); +MODULE_SCOPE void TclpMasterReset(void); MODULE_SCOPE int TclpMatchFiles(Tcl_Interp *interp, char *separators, Tcl_DString *dirPtr, char *pattern, char *tail); MODULE_SCOPE int TclpObjNormalizePath(Tcl_Interp *interp, diff --git a/unix/tclUnixNotfy.c b/unix/tclUnixNotfy.c index 1457890..ca6a7ef 100644 --- a/unix/tclUnixNotfy.c +++ b/unix/tclUnixNotfy.c @@ -152,7 +152,6 @@ static int triggerPipe = -1; * The notifierMutex locks access to all of the global notifier state. */ -pthread_mutex_t notifierInitMutex = PTHREAD_MUTEX_INITIALIZER; pthread_mutex_t notifierMutex = PTHREAD_MUTEX_INITIALIZER; /* * The following static indicates if the notifier thread is running. @@ -281,7 +280,7 @@ static void StartNotifierThread(const char *proc) { if (!notifierThreadRunning) { - pthread_mutex_lock(¬ifierInitMutex); + TclpMasterLock(); if (!notifierThreadRunning) { if (TclpThreadCreate(¬ifierThread, NotifierThreadProc, NULL, TCL_THREAD_STACK_DEFAULT, TCL_THREAD_JOINABLE) != TCL_OK) { @@ -300,7 +299,7 @@ StartNotifierThread(const char *proc) notifierThreadRunning = 1; } - pthread_mutex_unlock(¬ifierInitMutex); + TclpMasterUnlock(); } } #endif /* TCL_THREADS */ @@ -362,7 +361,7 @@ Tcl_InitNotifier(void) tsdPtr->waitCVinitialized = 1; } - pthread_mutex_lock(¬ifierInitMutex); + TclpMasterLock(); #if defined(HAVE_PTHREAD_ATFORK) /* * Install pthread_atfork handlers to clean up the notifier in the @@ -381,7 +380,7 @@ Tcl_InitNotifier(void) notifierCount++; - pthread_mutex_unlock(¬ifierInitMutex); + TclpMasterUnlock(); #endif /* TCL_THREADS */ return tsdPtr; @@ -417,7 +416,7 @@ Tcl_FinalizeNotifier( #ifdef TCL_THREADS ThreadSpecificData *tsdPtr = TCL_TSD_INIT(&dataKey); - pthread_mutex_lock(¬ifierInitMutex); + TclpMasterLock(); notifierCount--; /* @@ -462,7 +461,7 @@ Tcl_FinalizeNotifier( #endif /* __CYGWIN__ */ tsdPtr->waitCVinitialized = 0; - pthread_mutex_unlock(¬ifierInitMutex); + TclpMasterUnlock(); #endif /* TCL_THREADS */ } } @@ -1368,7 +1367,7 @@ static void AtForkPrepare(void) { #if RESET_ATFORK_MUTEX == 0 - pthread_mutex_lock(¬ifierInitMutex); + TclpMasterLock(); #endif } @@ -1392,7 +1391,7 @@ static void AtForkParent(void) { #if RESET_ATFORK_MUTEX == 0 - pthread_mutex_unlock(¬ifierInitMutex); + TclpMasterUnlock(); #endif } @@ -1419,9 +1418,9 @@ AtForkChild(void) pthread_cond_destroy(¬ifierCV); } #if RESET_ATFORK_MUTEX == 0 - pthread_mutex_unlock(¬ifierInitMutex); + TclpMasterUnlock(); #else - pthread_mutex_init(¬ifierInitMutex, NULL); + TclpMasterReset(); pthread_mutex_init(¬ifierMutex, NULL); #endif pthread_cond_init(¬ifierCV, NULL); diff --git a/unix/tclUnixThrd.c b/unix/tclUnixThrd.c index 554a2dc..4130993 100644 --- a/unix/tclUnixThrd.c +++ b/unix/tclUnixThrd.c @@ -357,6 +357,31 @@ TclpMasterUnlock(void) /* *---------------------------------------------------------------------- * + * TclpMasterReset + * + * This procedure is used to reset a lock that serializes creation and + * finalization of synchronization objects. + * + * Results: + * None. + * + * Side effects: + * Reset the master mutex. + * + *---------------------------------------------------------------------- + */ + +void +TclpMasterReset(void) +{ +#ifdef TCL_THREADS + pthread_mutex_init(&masterLock, NULL); +#endif +} + +/* + *---------------------------------------------------------------------- + * * Tcl_GetAllocMutex * * This procedure returns a pointer to a statically initialized mutex for diff --git a/win/tclWinNotify.c b/win/tclWinNotify.c index 4543b02..985a769 100644 --- a/win/tclWinNotify.c +++ b/win/tclWinNotify.c @@ -51,7 +51,8 @@ static Tcl_ThreadDataKey dataKey; static int notifierCount = 0; static const TCHAR classname[] = TEXT("TclNotifier"); -TCL_DECLARE_MUTEX(notifierMutex) +static int initialized = 0; +static CRITICAL_SECTION notifierMutex; /* * Static routines defined in this file. @@ -85,12 +86,19 @@ Tcl_InitNotifier(void) ThreadSpecificData *tsdPtr = TCL_TSD_INIT(&dataKey); WNDCLASS class; + TclpMasterLock(); + if (!initialized) { + initialized = 1; + InitializeCriticalSection(¬ifierMutex); + } + TclpMasterUnlock(); + /* * Register Notifier window class if this is the first thread to use * this module. */ - Tcl_MutexLock(¬ifierMutex); + EnterCriticalSection(¬ifierMutex); if (notifierCount == 0) { class.style = 0; class.cbClsExtra = 0; @@ -108,7 +116,7 @@ Tcl_InitNotifier(void) } } notifierCount++; - Tcl_MutexUnlock(¬ifierMutex); + LeaveCriticalSection(¬ifierMutex); tsdPtr->pending = 0; tsdPtr->timerActive = 0; @@ -183,12 +191,14 @@ Tcl_FinalizeNotifier( * notifier window class. */ - Tcl_MutexLock(¬ifierMutex); - notifierCount--; - if (notifierCount == 0) { - UnregisterClass(classname, TclWinGetTclInstance()); + EnterCriticalSection(¬ifierMutex); + if (notifierCount) { + notifierCount--; + if (notifierCount == 0) { + UnregisterClass(classname, TclWinGetTclInstance()); + } } - Tcl_MutexUnlock(¬ifierMutex); + LeaveCriticalSection(¬ifierMutex); } } -- cgit v0.12 From c829651d80705243c9ea3665699f13ad901debbe Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 22 Mar 2016 09:05:10 +0000 Subject: =?UTF-8?q?Fix=20signed-unsigned-compare=20warning=20(reported=20b?= =?UTF-8?q?y=20Fran=C3=A7ois=20Vogel=20on=20Windows,=20but=20gcc=20can=20t?= =?UTF-8?q?rigger=20it=20as=20well)?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- generic/tclCompExpr.c | 2 +- generic/tclEnsemble.c | 2 +- unix/configure | 2 +- unix/tcl.m4 | 2 +- win/configure | 2 +- win/tcl.m4 | 2 +- 6 files changed, 6 insertions(+), 6 deletions(-) diff --git a/generic/tclCompExpr.c b/generic/tclCompExpr.c index 50edbec..2ffcc68 100644 --- a/generic/tclCompExpr.c +++ b/generic/tclCompExpr.c @@ -666,7 +666,7 @@ ParseExpr( OpNode *newPtr = NULL; do { - if (size <= UINT_MAX/sizeof(OpNode)) { + if (size <= (int)(UINT_MAX/sizeof(OpNode))) { newPtr = attemptckrealloc(nodes, size * sizeof(OpNode)); } } while ((newPtr == NULL) diff --git a/generic/tclEnsemble.c b/generic/tclEnsemble.c index 986a553..6b6a156 100644 --- a/generic/tclEnsemble.c +++ b/generic/tclEnsemble.c @@ -3081,7 +3081,7 @@ TclAttemptCompileProc( int result, i; Tcl_Token *saveTokenPtr = parsePtr->tokenPtr; int savedStackDepth = envPtr->currStackDepth; - unsigned savedCodeNext = envPtr->codeNext - envPtr->codeStart; + int savedCodeNext = envPtr->codeNext - envPtr->codeStart; int savedAuxDataArrayNext = envPtr->auxDataArrayNext; int savedExceptArrayNext = envPtr->exceptArrayNext; #ifdef TCL_COMPILE_DEBUG diff --git a/unix/configure b/unix/configure index 3f9aa13..e999455 100755 --- a/unix/configure +++ b/unix/configure @@ -4985,7 +4985,7 @@ fi if test "$GCC" = yes; then : CFLAGS_OPTIMIZE=-O2 - CFLAGS_WARNING="-Wall" + CFLAGS_WARNING="-Wall -Wsign-compare -Wdeclaration-after-statement" else diff --git a/unix/tcl.m4 b/unix/tcl.m4 index 57d8ff0..f5aa84e 100644 --- a/unix/tcl.m4 +++ b/unix/tcl.m4 @@ -1096,7 +1096,7 @@ AC_DEFUN([SC_CONFIG_CFLAGS], [ CFLAGS_DEBUG=-g AS_IF([test "$GCC" = yes], [ CFLAGS_OPTIMIZE=-O2 - CFLAGS_WARNING="-Wall" + CFLAGS_WARNING="-Wall -Wsign-compare -Wdeclaration-after-statement" ], [ CFLAGS_OPTIMIZE=-O CFLAGS_WARNING="" diff --git a/win/configure b/win/configure index a1f57d1..73d6d9f 100755 --- a/win/configure +++ b/win/configure @@ -4165,7 +4165,7 @@ $as_echo "using shared flags" >&6; } CFLAGS_DEBUG=-g CFLAGS_OPTIMIZE="-O2 -fomit-frame-pointer" - CFLAGS_WARNING="-Wall -Wdeclaration-after-statement" + CFLAGS_WARNING="-Wall -Wsign-compare -Wdeclaration-after-statement" LDFLAGS_DEBUG= LDFLAGS_OPTIMIZE= diff --git a/win/tcl.m4 b/win/tcl.m4 index a75a936..7eff8e8 100644 --- a/win/tcl.m4 +++ b/win/tcl.m4 @@ -727,7 +727,7 @@ AC_DEFUN([SC_CONFIG_CFLAGS], [ CFLAGS_DEBUG=-g CFLAGS_OPTIMIZE="-O2 -fomit-frame-pointer" - CFLAGS_WARNING="-Wall -Wdeclaration-after-statement" + CFLAGS_WARNING="-Wall -Wsign-compare -Wdeclaration-after-statement" LDFLAGS_DEBUG= LDFLAGS_OPTIMIZE= -- cgit v0.12 From f16557b5a03c04972b0b35eef114e92d2195e529 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 22 Mar 2016 13:15:21 +0000 Subject: Alternative solution for [f1253530cd] --- library/word.tcl | 16 ++++++++++++---- 1 file changed, 12 insertions(+), 4 deletions(-) diff --git a/library/word.tcl b/library/word.tcl index b8f34a5..3e4bc3a 100644 --- a/library/word.tcl +++ b/library/word.tcl @@ -15,12 +15,20 @@ if {$::tcl_platform(platform) eq "windows"} { # Windows style - any but a unicode space char - set ::tcl_wordchars {\S} - set ::tcl_nonwordchars {\s} + if {![info exists ::tcl_wordchars]} { + set ::tcl_wordchars {\S} + } + if {![info exists ::tcl_nonwordchars]} { + set ::tcl_nonwordchars {\s} + } } else { # Motif style - any unicode word char (number, letter, or underscore) - set ::tcl_wordchars {\w} - set ::tcl_nonwordchars {\W} + if {![info exists ::tcl_wordchars]} { + set ::tcl_wordchars {\w} + } + if {![info exists ::tcl_nonwordchars]} { + set ::tcl_nonwordchars {\W} + } } # Arrange for caches of the real matcher REs to be kept, which enables the REs -- cgit v0.12 From 9ac95b002e2b6c6b66c04d1964c22ccc25d4e883 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 23 Mar 2016 08:48:54 +0000 Subject: =?UTF-8?q?Fix=20[7d0db7c388f52de8]:=20Occasional=20build=20failur?= =?UTF-8?q?es=20with=20parallel=20make.=20Thanks=20to=20Jaroslav=20=C5=A0k?= =?UTF-8?q?arvada=20for=20bug=20report=20and=20fix.?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- unix/Makefile.in | 128 +++++++++++++++++++++++++++---------------------------- 1 file changed, 64 insertions(+), 64 deletions(-) diff --git a/unix/Makefile.in b/unix/Makefile.in index 570bce0..0cb9c44 100644 --- a/unix/Makefile.in +++ b/unix/Makefile.in @@ -1351,196 +1351,196 @@ tclThreadTest.o: $(GENERIC_DIR)/tclThreadTest.c tclTomMathInterface.o: $(GENERIC_DIR)/tclTomMathInterface.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(GENERIC_DIR)/tclTomMathInterface.c -bncore.o: $(TOMMATH_DIR)/bncore.c $(MATHHDRS) +bncore.o: $(TOMMATH_DIR)/bncore.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bncore.c -bn_reverse.o: $(TOMMATH_DIR)/bn_reverse.c $(MATHHDRS) +bn_reverse.o: $(TOMMATH_DIR)/bn_reverse.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_reverse.c -bn_fast_s_mp_mul_digs.o: $(TOMMATH_DIR)/bn_fast_s_mp_mul_digs.c $(MATHHDRS) +bn_fast_s_mp_mul_digs.o: $(TOMMATH_DIR)/bn_fast_s_mp_mul_digs.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_fast_s_mp_mul_digs.c -bn_fast_s_mp_sqr.o: $(TOMMATH_DIR)/bn_fast_s_mp_sqr.c $(MATHHDRS) +bn_fast_s_mp_sqr.o: $(TOMMATH_DIR)/bn_fast_s_mp_sqr.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_fast_s_mp_sqr.c -bn_mp_add.o: $(TOMMATH_DIR)/bn_mp_add.c $(MATHHDRS) +bn_mp_add.o: $(TOMMATH_DIR)/bn_mp_add.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_add.c -bn_mp_add_d.o: $(TOMMATH_DIR)/bn_mp_add_d.c $(MATHHDRS) +bn_mp_add_d.o: $(TOMMATH_DIR)/bn_mp_add_d.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_add_d.c -bn_mp_and.o: $(TOMMATH_DIR)/bn_mp_and.c $(MATHHDRS) +bn_mp_and.o: $(TOMMATH_DIR)/bn_mp_and.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_and.c -bn_mp_clamp.o: $(TOMMATH_DIR)/bn_mp_clamp.c $(MATHHDRS) +bn_mp_clamp.o: $(TOMMATH_DIR)/bn_mp_clamp.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_clamp.c -bn_mp_clear.o: $(TOMMATH_DIR)/bn_mp_clear.c $(MATHHDRS) +bn_mp_clear.o: $(TOMMATH_DIR)/bn_mp_clear.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_clear.c -bn_mp_clear_multi.o: $(TOMMATH_DIR)/bn_mp_clear_multi.c $(MATHHDRS) +bn_mp_clear_multi.o: $(TOMMATH_DIR)/bn_mp_clear_multi.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_clear_multi.c -bn_mp_cmp.o: $(TOMMATH_DIR)/bn_mp_cmp.c $(MATHHDRS) +bn_mp_cmp.o: $(TOMMATH_DIR)/bn_mp_cmp.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_cmp.c -bn_mp_cmp_d.o: $(TOMMATH_DIR)/bn_mp_cmp_d.c $(MATHHDRS) +bn_mp_cmp_d.o: $(TOMMATH_DIR)/bn_mp_cmp_d.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_cmp_d.c -bn_mp_cmp_mag.o: $(TOMMATH_DIR)/bn_mp_cmp_mag.c $(MATHHDRS) +bn_mp_cmp_mag.o: $(TOMMATH_DIR)/bn_mp_cmp_mag.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_cmp_mag.c -bn_mp_cnt_lsb.o: $(TOMMATH_DIR)/bn_mp_cnt_lsb.c $(MATHHDRS) +bn_mp_cnt_lsb.o: $(TOMMATH_DIR)/bn_mp_cnt_lsb.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_cnt_lsb.c -bn_mp_copy.o: $(TOMMATH_DIR)/bn_mp_copy.c $(MATHHDRS) +bn_mp_copy.o: $(TOMMATH_DIR)/bn_mp_copy.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_copy.c -bn_mp_count_bits.o: $(TOMMATH_DIR)/bn_mp_count_bits.c $(MATHHDRS) +bn_mp_count_bits.o: $(TOMMATH_DIR)/bn_mp_count_bits.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_count_bits.c -bn_mp_div.o: $(TOMMATH_DIR)/bn_mp_div.c $(MATHHDRS) +bn_mp_div.o: $(TOMMATH_DIR)/bn_mp_div.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_div.c -bn_mp_div_d.o: $(TOMMATH_DIR)/bn_mp_div_d.c $(MATHHDRS) +bn_mp_div_d.o: $(TOMMATH_DIR)/bn_mp_div_d.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_div_d.c -bn_mp_div_2.o: $(TOMMATH_DIR)/bn_mp_div_2.c $(MATHHDRS) +bn_mp_div_2.o: $(TOMMATH_DIR)/bn_mp_div_2.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_div_2.c -bn_mp_div_2d.o: $(TOMMATH_DIR)/bn_mp_div_2d.c $(MATHHDRS) +bn_mp_div_2d.o: $(TOMMATH_DIR)/bn_mp_div_2d.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_div_2d.c -bn_mp_div_3.o: $(TOMMATH_DIR)/bn_mp_div_3.c $(MATHHDRS) +bn_mp_div_3.o: $(TOMMATH_DIR)/bn_mp_div_3.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_div_3.c -bn_mp_exch.o: $(TOMMATH_DIR)/bn_mp_exch.c $(MATHHDRS) +bn_mp_exch.o: $(TOMMATH_DIR)/bn_mp_exch.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_exch.c -bn_mp_expt_d.o: $(TOMMATH_DIR)/bn_mp_expt_d.c $(MATHHDRS) +bn_mp_expt_d.o: $(TOMMATH_DIR)/bn_mp_expt_d.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_expt_d.c -bn_mp_grow.o: $(TOMMATH_DIR)/bn_mp_grow.c $(MATHHDRS) +bn_mp_grow.o: $(TOMMATH_DIR)/bn_mp_grow.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_grow.c -bn_mp_init.o: $(TOMMATH_DIR)/bn_mp_init.c $(MATHHDRS) +bn_mp_init.o: $(TOMMATH_DIR)/bn_mp_init.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_init.c -bn_mp_init_copy.o: $(TOMMATH_DIR)/bn_mp_init_copy.c $(MATHHDRS) +bn_mp_init_copy.o: $(TOMMATH_DIR)/bn_mp_init_copy.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_init_copy.c -bn_mp_init_multi.o: $(TOMMATH_DIR)/bn_mp_init_multi.c $(MATHHDRS) +bn_mp_init_multi.o: $(TOMMATH_DIR)/bn_mp_init_multi.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_init_multi.c -bn_mp_init_set.o: $(TOMMATH_DIR)/bn_mp_init_set.c $(MATHHDRS) +bn_mp_init_set.o: $(TOMMATH_DIR)/bn_mp_init_set.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_init_set.c -bn_mp_init_set_int.o: $(TOMMATH_DIR)/bn_mp_init_set_int.c $(MATHHDRS) +bn_mp_init_set_int.o: $(TOMMATH_DIR)/bn_mp_init_set_int.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_init_set_int.c -bn_mp_init_size.o:$(TOMMATH_DIR)/bn_mp_init_size.c $(MATHHDRS) +bn_mp_init_size.o:$(TOMMATH_DIR)/bn_mp_init_size.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_init_size.c -bn_mp_karatsuba_mul.o: $(TOMMATH_DIR)/bn_mp_karatsuba_mul.c $(MATHHDRS) +bn_mp_karatsuba_mul.o: $(TOMMATH_DIR)/bn_mp_karatsuba_mul.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_karatsuba_mul.c -bn_mp_karatsuba_sqr.o: $(TOMMATH_DIR)/bn_mp_karatsuba_sqr.c $(MATHHDRS) +bn_mp_karatsuba_sqr.o: $(TOMMATH_DIR)/bn_mp_karatsuba_sqr.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_karatsuba_sqr.c -bn_mp_lshd.o: $(TOMMATH_DIR)/bn_mp_lshd.c $(MATHHDRS) +bn_mp_lshd.o: $(TOMMATH_DIR)/bn_mp_lshd.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_lshd.c -bn_mp_mod.o: $(TOMMATH_DIR)/bn_mp_mod.c $(MATHHDRS) +bn_mp_mod.o: $(TOMMATH_DIR)/bn_mp_mod.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_mod.c -bn_mp_mod_2d.o: $(TOMMATH_DIR)/bn_mp_mod_2d.c $(MATHHDRS) +bn_mp_mod_2d.o: $(TOMMATH_DIR)/bn_mp_mod_2d.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_mod_2d.c -bn_mp_mul.o: $(TOMMATH_DIR)/bn_mp_mul.c $(MATHHDRS) +bn_mp_mul.o: $(TOMMATH_DIR)/bn_mp_mul.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_mul.c -bn_mp_mul_2.o: $(TOMMATH_DIR)/bn_mp_mul_2.c $(MATHHDRS) +bn_mp_mul_2.o: $(TOMMATH_DIR)/bn_mp_mul_2.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_mul_2.c -bn_mp_mul_2d.o: $(TOMMATH_DIR)/bn_mp_mul_2d.c $(MATHHDRS) +bn_mp_mul_2d.o: $(TOMMATH_DIR)/bn_mp_mul_2d.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_mul_2d.c -bn_mp_mul_d.o: $(TOMMATH_DIR)/bn_mp_mul_d.c $(MATHHDRS) +bn_mp_mul_d.o: $(TOMMATH_DIR)/bn_mp_mul_d.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_mul_d.c -bn_mp_neg.o: $(TOMMATH_DIR)/bn_mp_neg.c $(MATHHDRS) +bn_mp_neg.o: $(TOMMATH_DIR)/bn_mp_neg.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_neg.c -bn_mp_or.o: $(TOMMATH_DIR)/bn_mp_or.c $(MATHHDRS) +bn_mp_or.o: $(TOMMATH_DIR)/bn_mp_or.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_or.c -bn_mp_radix_size.o: $(TOMMATH_DIR)/bn_mp_radix_size.c $(MATHHDRS) +bn_mp_radix_size.o: $(TOMMATH_DIR)/bn_mp_radix_size.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_radix_size.c -bn_mp_radix_smap.o: $(TOMMATH_DIR)/bn_mp_radix_smap.c $(MATHHDRS) +bn_mp_radix_smap.o: $(TOMMATH_DIR)/bn_mp_radix_smap.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_radix_smap.c -bn_mp_read_radix.o: $(TOMMATH_DIR)/bn_mp_read_radix.c $(MATHHDRS) +bn_mp_read_radix.o: $(TOMMATH_DIR)/bn_mp_read_radix.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_read_radix.c -bn_mp_rshd.o: $(TOMMATH_DIR)/bn_mp_rshd.c $(MATHHDRS) +bn_mp_rshd.o: $(TOMMATH_DIR)/bn_mp_rshd.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_rshd.c -bn_mp_set.o: $(TOMMATH_DIR)/bn_mp_set.c $(MATHHDRS) +bn_mp_set.o: $(TOMMATH_DIR)/bn_mp_set.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_set.c -bn_mp_set_int.o: $(TOMMATH_DIR)/bn_mp_set_int.c $(MATHHDRS) +bn_mp_set_int.o: $(TOMMATH_DIR)/bn_mp_set_int.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_set_int.c -bn_mp_shrink.o: $(TOMMATH_DIR)/bn_mp_shrink.c $(MATHHDRS) +bn_mp_shrink.o: $(TOMMATH_DIR)/bn_mp_shrink.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_shrink.c -bn_mp_sqr.o: $(TOMMATH_DIR)/bn_mp_sqr.c $(MATHHDRS) +bn_mp_sqr.o: $(TOMMATH_DIR)/bn_mp_sqr.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_sqr.c -bn_mp_sqrt.o: $(TOMMATH_DIR)/bn_mp_sqrt.c $(MATHHDRS) +bn_mp_sqrt.o: $(TOMMATH_DIR)/bn_mp_sqrt.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_sqrt.c -bn_mp_sub.o: $(TOMMATH_DIR)/bn_mp_sub.c $(MATHHDRS) +bn_mp_sub.o: $(TOMMATH_DIR)/bn_mp_sub.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_sub.c -bn_mp_sub_d.o: $(TOMMATH_DIR)/bn_mp_sub_d.c $(MATHHDRS) +bn_mp_sub_d.o: $(TOMMATH_DIR)/bn_mp_sub_d.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_sub_d.c -bn_mp_to_unsigned_bin.o: $(TOMMATH_DIR)/bn_mp_to_unsigned_bin.c $(MATHHDRS) +bn_mp_to_unsigned_bin.o: $(TOMMATH_DIR)/bn_mp_to_unsigned_bin.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_to_unsigned_bin.c -bn_mp_to_unsigned_bin_n.o: $(TOMMATH_DIR)/bn_mp_to_unsigned_bin_n.c $(MATHHDRS) +bn_mp_to_unsigned_bin_n.o: $(TOMMATH_DIR)/bn_mp_to_unsigned_bin_n.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_to_unsigned_bin_n.c -bn_mp_toom_mul.o: $(TOMMATH_DIR)/bn_mp_toom_mul.c $(MATHHDRS) +bn_mp_toom_mul.o: $(TOMMATH_DIR)/bn_mp_toom_mul.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_toom_mul.c -bn_mp_toom_sqr.o: $(TOMMATH_DIR)/bn_mp_toom_sqr.c $(MATHHDRS) +bn_mp_toom_sqr.o: $(TOMMATH_DIR)/bn_mp_toom_sqr.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_toom_sqr.c -bn_mp_toradix_n.o: $(TOMMATH_DIR)/bn_mp_toradix_n.c $(MATHHDRS) +bn_mp_toradix_n.o: $(TOMMATH_DIR)/bn_mp_toradix_n.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_toradix_n.c -bn_mp_unsigned_bin_size.o: $(TOMMATH_DIR)/bn_mp_unsigned_bin_size.c $(MATHHDRS) +bn_mp_unsigned_bin_size.o: $(TOMMATH_DIR)/bn_mp_unsigned_bin_size.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_unsigned_bin_size.c -bn_mp_xor.o: $(TOMMATH_DIR)/bn_mp_xor.c $(MATHHDRS) +bn_mp_xor.o: $(TOMMATH_DIR)/bn_mp_xor.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_xor.c -bn_mp_zero.o: $(TOMMATH_DIR)/bn_mp_zero.c $(MATHHDRS) +bn_mp_zero.o: $(TOMMATH_DIR)/bn_mp_zero.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_zero.c -bn_s_mp_add.o: $(TOMMATH_DIR)/bn_s_mp_add.c $(MATHHDRS) +bn_s_mp_add.o: $(TOMMATH_DIR)/bn_s_mp_add.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_s_mp_add.c -bn_s_mp_mul_digs.o: $(TOMMATH_DIR)/bn_s_mp_mul_digs.c $(MATHHDRS) +bn_s_mp_mul_digs.o: $(TOMMATH_DIR)/bn_s_mp_mul_digs.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_s_mp_mul_digs.c -bn_s_mp_sqr.o: $(TOMMATH_DIR)/bn_s_mp_sqr.c $(MATHHDRS) +bn_s_mp_sqr.o: $(TOMMATH_DIR)/bn_s_mp_sqr.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_s_mp_sqr.c -bn_s_mp_sub.o: $(TOMMATH_DIR)/bn_s_mp_sub.c $(MATHHDRS) +bn_s_mp_sub.o: $(TOMMATH_DIR)/bn_s_mp_sub.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_s_mp_sub.c tclUnixChan.o: $(UNIX_DIR)/tclUnixChan.c $(IOHDR) -- cgit v0.12 From 62af51b8f98d93a42b8242eafa267316ad222973 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 23 Mar 2016 09:55:06 +0000 Subject: Fix [f1253530cdd83e66]: Different Windows / *nix default bindings for text widget. Still - most likely - not the complete story for trunk/tcl9, but whatever we do this is a better starting-point than how it was. --- library/word.tcl | 24 +++++++----------------- 1 file changed, 7 insertions(+), 17 deletions(-) diff --git a/library/word.tcl b/library/word.tcl index 3e4bc3a..0246530 100644 --- a/library/word.tcl +++ b/library/word.tcl @@ -11,24 +11,14 @@ # of this file, and for a DISCLAIMER OF ALL WARRANTIES. # The following variables are used to determine which characters are -# interpreted as white space. +# interpreted as word characters. See bug [f1253530cdd8]. Will +# probably be removed in Tcl 9. -if {$::tcl_platform(platform) eq "windows"} { - # Windows style - any but a unicode space char - if {![info exists ::tcl_wordchars]} { - set ::tcl_wordchars {\S} - } - if {![info exists ::tcl_nonwordchars]} { - set ::tcl_nonwordchars {\s} - } -} else { - # Motif style - any unicode word char (number, letter, or underscore) - if {![info exists ::tcl_wordchars]} { - set ::tcl_wordchars {\w} - } - if {![info exists ::tcl_nonwordchars]} { - set ::tcl_nonwordchars {\W} - } +if {![info exists ::tcl_wordchars]} { + set ::tcl_wordchars {\w} +} +if {![info exists ::tcl_nonwordchars]} { + set ::tcl_nonwordchars {\W} } # Arrange for caches of the real matcher REs to be kept, which enables the REs -- cgit v0.12 From 143c2731049b73d59148a7f19d47b78b8c24b8b2 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 23 Mar 2016 13:03:54 +0000 Subject: Fix DTRACE_HDR value if tracing is diabled. Follow-up to [7d0db7c388] --- unix/Makefile.in | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/unix/Makefile.in b/unix/Makefile.in index 0cb9c44..897dd1f 100644 --- a/unix/Makefile.in +++ b/unix/Makefile.in @@ -584,7 +584,7 @@ MAC_OSX_SRCS = \ CYGWIN_SRCS = \ $(TOP_DIR)/win/tclWinError.c -DTRACE_HDR = tclDTrace.h +DTRACE_HDR = @DTRACE_HDR@ DTRACE_SRC = $(GENERIC_DIR)/tclDTrace.d -- cgit v0.12 From 77cc7b40aa68fe4c7ef545f76495ba18c4ace487 Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 24 Mar 2016 21:21:42 +0000 Subject: No longer a need to keep around 'revert to 8.5' code. --- generic/tclStringObj.c | 83 ++------------------------------------------------ 1 file changed, 3 insertions(+), 80 deletions(-) diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index 11a57e9..e718749 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -39,15 +39,6 @@ #include "tclStringRep.h" /* - * Set COMPAT to 1 to restore the shimmering patterns to those of Tcl 8.5. - * This is an escape hatch in case the changes have some unexpected unwelcome - * impact on performance. If things go well, this mechanism can go away when - * post-8.6 development begins. - */ - -#define COMPAT 0 - -/* * Prototypes for functions defined later in this file: */ @@ -445,18 +436,6 @@ Tcl_GetCharLength( if (numChars == -1) { TclNumUtfChars(numChars, objPtr->bytes, objPtr->length); stringPtr->numChars = numChars; - -#if COMPAT - if (numChars < objPtr->length) { - /* - * Since we've just computed the number of chars, and not all UTF - * chars are 1-byte long, go ahead and populate the unicode - * string. - */ - - FillUnicodeRep(objPtr); - } -#endif } return numChars; } @@ -1173,11 +1152,7 @@ Tcl_AppendUnicodeToObj( * objPtr's string rep. */ - if (stringPtr->hasUnicode -#if COMPAT - && stringPtr->numChars > 0 -#endif - ) { + if (stringPtr->hasUnicode) { AppendUnicodeToUnicodeRep(objPtr, unicode, length); } else { AppendUnicodeToUtfRep(objPtr, unicode, length); @@ -1281,11 +1256,7 @@ Tcl_AppendObjToObj( * appendObjPtr and append it. */ - if (stringPtr->hasUnicode -#if COMPAT - && stringPtr->numChars > 0 -#endif - ) { + if (stringPtr->hasUnicode) { /* * If appendObjPtr is not of the "String" type, don't convert it. */ @@ -1318,11 +1289,7 @@ Tcl_AppendObjToObj( AppendUtfToUtfRep(objPtr, bytes, length); - if (numChars >= 0 && appendNumChars >= 0 -#if COMPAT - && appendNumChars == length -#endif - ) { + if (numChars >= 0 && appendNumChars >= 0) { stringPtr->numChars = numChars + appendNumChars; } } @@ -1446,14 +1413,6 @@ AppendUnicodeToUtfRep( if (stringPtr->numChars != -1) { stringPtr->numChars += numChars; } - -#if COMPAT - /* - * Invalidate the unicode rep. - */ - - stringPtr->hasUnicode = 0; -#endif } /* @@ -2871,7 +2830,6 @@ DupStringInternalRep( String *srcStringPtr = GET_STRING(srcPtr); String *copyStringPtr = NULL; -#if COMPAT==0 if (srcStringPtr->numChars == -1) { /* * The String struct in the source value holds zero useful data. Don't @@ -2914,41 +2872,6 @@ DupStringInternalRep( */ copyStringPtr->allocated = copyPtr->bytes ? copyPtr->length : 0; -#else /* COMPAT!=0 */ - /* - * If the src obj is a string of 1-byte Utf chars, then copy the string - * rep of the source object and create an "empty" Unicode internal rep for - * the new object. Otherwise, copy Unicode internal rep, and invalidate - * the string rep of the new object. - */ - - if (srcStringPtr->hasUnicode && srcStringPtr->numChars > 0) { - /* - * Copy the full allocation for the Unicode buffer. - */ - - copyStringPtr = stringAlloc(srcStringPtr->maxChars); - copyStringPtr->maxChars = srcStringPtr->maxChars; - memcpy(copyStringPtr->unicode, srcStringPtr->unicode, - srcStringPtr->numChars * sizeof(Tcl_UniChar)); - copyStringPtr->unicode[srcStringPtr->numChars] = 0; - copyStringPtr->allocated = 0; - } else { - copyStringPtr = stringAlloc(0); - copyStringPtr->unicode[0] = 0; - copyStringPtr->maxChars = 0; - - /* - * Tricky point: the string value was copied by generic object - * management code, so it doesn't contain any extra bytes that might - * exist in the source object. - */ - - copyStringPtr->allocated = copyPtr->length; - } - copyStringPtr->numChars = srcStringPtr->numChars; - copyStringPtr->hasUnicode = srcStringPtr->hasUnicode; -#endif /* COMPAT==0 */ SET_STRING(copyPtr, copyStringPtr); copyPtr->typePtr = &tclStringType; -- cgit v0.12 From 43308bf3c516fbe56b41a2d8e4ea948c63603b3e Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Sun, 27 Mar 2016 21:28:15 +0000 Subject: Better fix for [7d0db7c388f52de81]: In stead of adding dependencies to multiple Makefile lines, combine them --- unix/Makefile.in | 132 +++++++++++++++++++++++++++---------------------------- 1 file changed, 66 insertions(+), 66 deletions(-) diff --git a/unix/Makefile.in b/unix/Makefile.in index 16cfad7..d9f8bbc 100644 --- a/unix/Makefile.in +++ b/unix/Makefile.in @@ -584,7 +584,7 @@ MAC_OSX_SRCS = \ CYGWIN_SRCS = \ $(TOP_DIR)/win/tclWinError.c -DTRACE_HDR = @DTRACE_HDR@ +DTRACE_HDR = tclDTrace.h DTRACE_SRC = $(GENERIC_DIR)/tclDTrace.d @@ -1351,196 +1351,196 @@ tclThreadTest.o: $(GENERIC_DIR)/tclThreadTest.c tclTomMathInterface.o: $(GENERIC_DIR)/tclTomMathInterface.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(GENERIC_DIR)/tclTomMathInterface.c -bncore.o: $(TOMMATH_DIR)/bncore.c $(MATHHDRS) $(DTRACE_HDR) +bncore.o: $(TOMMATH_DIR)/bncore.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bncore.c -bn_reverse.o: $(TOMMATH_DIR)/bn_reverse.c $(MATHHDRS) $(DTRACE_HDR) +bn_reverse.o: $(TOMMATH_DIR)/bn_reverse.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_reverse.c -bn_fast_s_mp_mul_digs.o: $(TOMMATH_DIR)/bn_fast_s_mp_mul_digs.c $(MATHHDRS) $(DTRACE_HDR) +bn_fast_s_mp_mul_digs.o: $(TOMMATH_DIR)/bn_fast_s_mp_mul_digs.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_fast_s_mp_mul_digs.c -bn_fast_s_mp_sqr.o: $(TOMMATH_DIR)/bn_fast_s_mp_sqr.c $(MATHHDRS) $(DTRACE_HDR) +bn_fast_s_mp_sqr.o: $(TOMMATH_DIR)/bn_fast_s_mp_sqr.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_fast_s_mp_sqr.c -bn_mp_add.o: $(TOMMATH_DIR)/bn_mp_add.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_add.o: $(TOMMATH_DIR)/bn_mp_add.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_add.c -bn_mp_add_d.o: $(TOMMATH_DIR)/bn_mp_add_d.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_add_d.o: $(TOMMATH_DIR)/bn_mp_add_d.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_add_d.c -bn_mp_and.o: $(TOMMATH_DIR)/bn_mp_and.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_and.o: $(TOMMATH_DIR)/bn_mp_and.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_and.c -bn_mp_clamp.o: $(TOMMATH_DIR)/bn_mp_clamp.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_clamp.o: $(TOMMATH_DIR)/bn_mp_clamp.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_clamp.c -bn_mp_clear.o: $(TOMMATH_DIR)/bn_mp_clear.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_clear.o: $(TOMMATH_DIR)/bn_mp_clear.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_clear.c -bn_mp_clear_multi.o: $(TOMMATH_DIR)/bn_mp_clear_multi.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_clear_multi.o: $(TOMMATH_DIR)/bn_mp_clear_multi.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_clear_multi.c -bn_mp_cmp.o: $(TOMMATH_DIR)/bn_mp_cmp.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_cmp.o: $(TOMMATH_DIR)/bn_mp_cmp.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_cmp.c -bn_mp_cmp_d.o: $(TOMMATH_DIR)/bn_mp_cmp_d.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_cmp_d.o: $(TOMMATH_DIR)/bn_mp_cmp_d.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_cmp_d.c -bn_mp_cmp_mag.o: $(TOMMATH_DIR)/bn_mp_cmp_mag.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_cmp_mag.o: $(TOMMATH_DIR)/bn_mp_cmp_mag.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_cmp_mag.c -bn_mp_cnt_lsb.o: $(TOMMATH_DIR)/bn_mp_cnt_lsb.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_cnt_lsb.o: $(TOMMATH_DIR)/bn_mp_cnt_lsb.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_cnt_lsb.c -bn_mp_copy.o: $(TOMMATH_DIR)/bn_mp_copy.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_copy.o: $(TOMMATH_DIR)/bn_mp_copy.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_copy.c -bn_mp_count_bits.o: $(TOMMATH_DIR)/bn_mp_count_bits.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_count_bits.o: $(TOMMATH_DIR)/bn_mp_count_bits.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_count_bits.c -bn_mp_div.o: 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$(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_shrink.c -bn_mp_sqr.o: $(TOMMATH_DIR)/bn_mp_sqr.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_sqr.o: $(TOMMATH_DIR)/bn_mp_sqr.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_sqr.c -bn_mp_sqrt.o: $(TOMMATH_DIR)/bn_mp_sqrt.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_sqrt.o: $(TOMMATH_DIR)/bn_mp_sqrt.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_sqrt.c -bn_mp_sub.o: $(TOMMATH_DIR)/bn_mp_sub.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_sub.o: $(TOMMATH_DIR)/bn_mp_sub.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_sub.c -bn_mp_sub_d.o: $(TOMMATH_DIR)/bn_mp_sub_d.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_sub_d.o: $(TOMMATH_DIR)/bn_mp_sub_d.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_sub_d.c -bn_mp_to_unsigned_bin.o: $(TOMMATH_DIR)/bn_mp_to_unsigned_bin.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_to_unsigned_bin.o: $(TOMMATH_DIR)/bn_mp_to_unsigned_bin.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_to_unsigned_bin.c -bn_mp_to_unsigned_bin_n.o: $(TOMMATH_DIR)/bn_mp_to_unsigned_bin_n.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_to_unsigned_bin_n.o: $(TOMMATH_DIR)/bn_mp_to_unsigned_bin_n.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_to_unsigned_bin_n.c -bn_mp_toom_mul.o: $(TOMMATH_DIR)/bn_mp_toom_mul.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_toom_mul.o: $(TOMMATH_DIR)/bn_mp_toom_mul.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_toom_mul.c -bn_mp_toom_sqr.o: $(TOMMATH_DIR)/bn_mp_toom_sqr.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_toom_sqr.o: $(TOMMATH_DIR)/bn_mp_toom_sqr.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_toom_sqr.c -bn_mp_toradix_n.o: $(TOMMATH_DIR)/bn_mp_toradix_n.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_toradix_n.o: $(TOMMATH_DIR)/bn_mp_toradix_n.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_toradix_n.c -bn_mp_unsigned_bin_size.o: $(TOMMATH_DIR)/bn_mp_unsigned_bin_size.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_unsigned_bin_size.o: $(TOMMATH_DIR)/bn_mp_unsigned_bin_size.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_unsigned_bin_size.c -bn_mp_xor.o: $(TOMMATH_DIR)/bn_mp_xor.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_xor.o: $(TOMMATH_DIR)/bn_mp_xor.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_xor.c -bn_mp_zero.o: $(TOMMATH_DIR)/bn_mp_zero.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_zero.o: $(TOMMATH_DIR)/bn_mp_zero.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_zero.c -bn_s_mp_add.o: $(TOMMATH_DIR)/bn_s_mp_add.c $(MATHHDRS) $(DTRACE_HDR) +bn_s_mp_add.o: $(TOMMATH_DIR)/bn_s_mp_add.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_s_mp_add.c -bn_s_mp_mul_digs.o: $(TOMMATH_DIR)/bn_s_mp_mul_digs.c $(MATHHDRS) $(DTRACE_HDR) +bn_s_mp_mul_digs.o: $(TOMMATH_DIR)/bn_s_mp_mul_digs.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_s_mp_mul_digs.c -bn_s_mp_sqr.o: $(TOMMATH_DIR)/bn_s_mp_sqr.c $(MATHHDRS) $(DTRACE_HDR) +bn_s_mp_sqr.o: $(TOMMATH_DIR)/bn_s_mp_sqr.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_s_mp_sqr.c -bn_s_mp_sub.o: $(TOMMATH_DIR)/bn_s_mp_sub.c $(MATHHDRS) $(DTRACE_HDR) +bn_s_mp_sub.o: $(TOMMATH_DIR)/bn_s_mp_sub.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_s_mp_sub.c tclUnixChan.o: $(UNIX_DIR)/tclUnixChan.c $(IOHDR) @@ -1596,7 +1596,7 @@ tclWinError.o: $(TOP_DIR)/win/tclWinError.c # DTrace support -$(TCL_OBJS) $(STUB_LIB_OBJS) $(TCLSH_OBJS) $(TCLTEST_OBJS) $(XTTEST_OBJS): @DTRACE_HDR@ +$(TCL_OBJS) $(STUB_LIB_OBJS) $(TCLSH_OBJS) $(TCLTEST_OBJS) $(XTTEST_OBJS) $(TOMMATH_OBJS): @DTRACE_HDR@ $(DTRACE_HDR): $(DTRACE_SRC) $(DTRACE) -h $(DTRACE_SWITCHES) -o $@ -s $(DTRACE_SRC) -- cgit v0.12 From d5ff54059dda1b7a925361e016193915d3e1cccd Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 28 Mar 2016 19:03:14 +0000 Subject: There's a "parsedVarName" Tcl_ObjType that remembers how a variable name breaks down into the name of an array and the name of an element. It has been storing them in an intrep as a Tcl_Obj holding the array name and an allocated string holding the element name. This branch revises the intrep strategy to use Tcl_Obj's to hold both parts. This reduces copying and seems to simplify the code. Also "nulled out" the UpdateStringProc for the type which can never be called. I think this is a better answer, but I'd like any other informed opinions. --- generic/tclVar.c | 45 ++++++++++++++++++++++++++++++++++----------- 1 file changed, 34 insertions(+), 11 deletions(-) diff --git a/generic/tclVar.c b/generic/tclVar.c index 5574f30..3c1b01f 100644 --- a/generic/tclVar.c +++ b/generic/tclVar.c @@ -206,7 +206,9 @@ static Tcl_UpdateStringProc PanicOnUpdateVarName; static Tcl_FreeInternalRepProc FreeParsedVarName; static Tcl_DupInternalRepProc DupParsedVarName; +#if 0 static Tcl_UpdateStringProc UpdateParsedVarName; +#endif static Tcl_UpdateStringProc PanicOnUpdateVarName; static Tcl_SetFromAnyProc PanicOnSetVarName; @@ -237,7 +239,13 @@ static const Tcl_ObjType localVarNameType = { static const Tcl_ObjType tclParsedVarNameType = { "parsedVarName", - FreeParsedVarName, DupParsedVarName, UpdateParsedVarName, PanicOnSetVarName + FreeParsedVarName, DupParsedVarName, +#if 0 +UpdateParsedVarName, +#else +PanicOnUpdateVarName, +#endif + PanicOnSetVarName }; /* @@ -536,7 +544,9 @@ TclObjLookupVarEx( const char *errMsg = NULL; CallFrame *varFramePtr = iPtr->varFramePtr; const char *part2 = part2Ptr? TclGetString(part2Ptr):NULL; +#if 0 char *newPart2 = NULL; +#endif *arrayPtrPtr = NULL; if (typePtr == &localVarNameType) { @@ -583,9 +593,13 @@ TclObjLookupVarEx( } return NULL; } +#if 0 part2 = newPart2 = part1Ptr->internalRep.twoPtrValue.ptr2; if (newPart2) { part2Ptr = Tcl_NewStringObj(newPart2, -1); +#else + if ((part2Ptr = part1Ptr->internalRep.twoPtrValue.ptr2)) { +#endif if (createPart2) { Tcl_IncrRefCount(part2Ptr); } @@ -629,11 +643,15 @@ TclObjLookupVarEx( len2 = len1 - i - 2; len1 = i; +#if 0 newPart2 = ckalloc(len2 + 1); memcpy(newPart2, part2, (unsigned) len2); *(newPart2+len2) = '\0'; part2 = newPart2; part2Ptr = Tcl_NewStringObj(newPart2, -1); +#else + part2Ptr = Tcl_NewStringObj(part2, len2); +#endif if (createPart2) { Tcl_IncrRefCount(part2Ptr); } @@ -658,7 +676,12 @@ TclObjLookupVarEx( Tcl_IncrRefCount(part1Ptr); objPtr->internalRep.twoPtrValue.ptr1 = part1Ptr; +#if 0 objPtr->internalRep.twoPtrValue.ptr2 = (void *) part2; +#else + Tcl_IncrRefCount(part2Ptr); + objPtr->internalRep.twoPtrValue.ptr2 = part2Ptr; +#endif typePtr = part1Ptr->typePtr; part1 = TclGetString(part1Ptr); @@ -683,9 +706,11 @@ TclObjLookupVarEx( Tcl_SetErrorCode(interp, "TCL", "LOOKUP", "VARNAME", TclGetString(part1Ptr), NULL); } +#if 0 if (newPart2) { Tcl_DecrRefCount(part2Ptr); } +#endif return NULL; } @@ -734,9 +759,11 @@ TclObjLookupVarEx( *arrayPtrPtr = varPtr; varPtr = TclLookupArrayElement(interp, part1Ptr, part2Ptr, flags, msg, createPart1, createPart2, varPtr, -1); +#if 0 if (newPart2) { Tcl_DecrRefCount(part2Ptr); } +#endif } return varPtr; } @@ -5592,11 +5619,11 @@ FreeParsedVarName( Tcl_Obj *objPtr) { register Tcl_Obj *arrayPtr = objPtr->internalRep.twoPtrValue.ptr1; - register char *elem = objPtr->internalRep.twoPtrValue.ptr2; + register Tcl_Obj *elem = objPtr->internalRep.twoPtrValue.ptr2; if (arrayPtr != NULL) { TclDecrRefCount(arrayPtr); - ckfree(elem); + TclDecrRefCount(elem); } objPtr->typePtr = NULL; } @@ -5607,17 +5634,11 @@ DupParsedVarName( Tcl_Obj *dupPtr) { register Tcl_Obj *arrayPtr = srcPtr->internalRep.twoPtrValue.ptr1; - register char *elem = srcPtr->internalRep.twoPtrValue.ptr2; - char *elemCopy; - unsigned elemLen; + register Tcl_Obj *elem = srcPtr->internalRep.twoPtrValue.ptr2; if (arrayPtr != NULL) { Tcl_IncrRefCount(arrayPtr); - elemLen = strlen(elem); - elemCopy = ckalloc(elemLen + 1); - memcpy(elemCopy, elem, elemLen); - *(elemCopy + elemLen) = '\0'; - elem = elemCopy; + Tcl_IncrRefCount(elem); } dupPtr->internalRep.twoPtrValue.ptr1 = arrayPtr; @@ -5625,6 +5646,7 @@ DupParsedVarName( dupPtr->typePtr = &tclParsedVarNameType; } +#if 0 static void UpdateParsedVarName( Tcl_Obj *objPtr) @@ -5659,6 +5681,7 @@ UpdateParsedVarName( *p++ = ')'; *p = '\0'; } +#endif /* *---------------------------------------------------------------------- -- cgit v0.12 From 20baf86d1e03655bb6d7fae562091e95fe52db15 Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 28 Mar 2016 21:24:22 +0000 Subject: The DupEncodingIntRep() routine is broken. It fails to set the typePtr field of the duplicated Tcl_Obj to indicate that the intrep is that of the &encodingType. The impact must be that refcounting of Tcl_Encodings are out of balance, at least in the (unusual?) case where "encoding" values need duplication. I hesitate to actually commit this fix until I have a test demonstrating the need for it, and a chance to see the impact on actual encoding operations. The lifetime management of encodings has a history of being tricky and raising controversy. More work required. --- generic/tclEncoding.c | 1 + 1 file changed, 1 insertion(+) diff --git a/generic/tclEncoding.c b/generic/tclEncoding.c index 4edebcf..32055a3 100644 --- a/generic/tclEncoding.c +++ b/generic/tclEncoding.c @@ -355,6 +355,7 @@ DupEncodingIntRep( Tcl_Obj *dupPtr) { dupPtr->internalRep.twoPtrValue.ptr1 = Tcl_GetEncoding(NULL, srcPtr->bytes); + dupPtr->typePtr = &encodingType; } /* -- cgit v0.12 From 77ccaefbb1482145de9b9276979318e88b9e542e Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 29 Mar 2016 10:17:02 +0000 Subject: Eliminate AT_FORK_INIT_VALUE/RESET_ATFORK_MUTEX macro's, since other values than the default are not supported anyway. This results in the elimination of (empty functions anyway) AtForkPrepare/AtForkParent. Also improve consistancy in some variable names. No change of functionality. --- unix/tclUnixNotfy.c | 70 ++++++----------------------------------------------- win/tclWinNotify.c | 8 +++--- win/tclWinSock.c | 17 +++---------- 3 files changed, 15 insertions(+), 80 deletions(-) diff --git a/unix/tclUnixNotfy.c b/unix/tclUnixNotfy.c index 1457890..3422089 100644 --- a/unix/tclUnixNotfy.c +++ b/unix/tclUnixNotfy.c @@ -1,7 +1,5 @@ -#define AT_FORK_INIT_VALUE 0 -#define RESET_ATFORK_MUTEX 1 /* - * tclUnixNotify.c -- + * tclUnixNotfy.c -- * * This file contains the implementation of the select()-based * Unix-specific notifier, which is the lowest-level part of the Tcl @@ -197,9 +195,7 @@ static Tcl_ThreadId notifierThread; #ifdef TCL_THREADS static void NotifierThreadProc(ClientData clientData); #if defined(HAVE_PTHREAD_ATFORK) -static int atForkInit = AT_FORK_INIT_VALUE; -static void AtForkPrepare(void); -static void AtForkParent(void); +static int atForkInit = 0; static void AtForkChild(void); #endif /* HAVE_PTHREAD_ATFORK */ #endif /* TCL_THREADS */ @@ -256,7 +252,7 @@ extern unsigned char __stdcall TranslateMessage(const MSG *); * Threaded-cygwin specific constants and functions in this file: */ -static const WCHAR NotfyClassName[] = L"TclNotifier"; +static const WCHAR className[] = L"TclNotifier"; static DWORD __stdcall NotifierProc(void *hwnd, unsigned int message, void *wParam, void *lParam); #endif /* TCL_THREADS && __CYGWIN__ */ @@ -345,7 +341,7 @@ Tcl_InitNotifier(void) class.hInstance = TclWinGetTclInstance(); class.hbrBackground = NULL; class.lpszMenuName = NULL; - class.lpszClassName = NotfyClassName; + class.lpszClassName = className; class.lpfnWndProc = NotifierProc; class.hIcon = NULL; class.hCursor = NULL; @@ -370,7 +366,7 @@ Tcl_InitNotifier(void) */ if (!atForkInit) { - int result = pthread_atfork(AtForkPrepare, AtForkParent, AtForkChild); + int result = pthread_atfork(NULL, NULL, AtForkChild); if (result) { Tcl_Panic("Tcl_InitNotifier: pthread_atfork failed"); @@ -1351,54 +1347,6 @@ NotifierThreadProc( /* *---------------------------------------------------------------------- * - * AtForkPrepare -- - * - * Lock the notifier in preparation for a fork. - * - * Results: - * None. - * - * Side effects: - * None. - * - *---------------------------------------------------------------------- - */ - -static void -AtForkPrepare(void) -{ -#if RESET_ATFORK_MUTEX == 0 - pthread_mutex_lock(¬ifierInitMutex); -#endif -} - -/* - *---------------------------------------------------------------------- - * - * AtForkParent -- - * - * Unlock the notifier in the parent after a fork. - * - * Results: - * None. - * - * Side effects: - * None. - * - *---------------------------------------------------------------------- - */ - -static void -AtForkParent(void) -{ -#if RESET_ATFORK_MUTEX == 0 - pthread_mutex_unlock(¬ifierInitMutex); -#endif -} - -/* - *---------------------------------------------------------------------- - * * AtForkChild -- * * Unlock and reinstall the notifier in the child after a fork. @@ -1418,12 +1366,8 @@ AtForkChild(void) if (notifierThreadRunning == 1) { pthread_cond_destroy(¬ifierCV); } -#if RESET_ATFORK_MUTEX == 0 - pthread_mutex_unlock(¬ifierInitMutex); -#else pthread_mutex_init(¬ifierInitMutex, NULL); pthread_mutex_init(¬ifierMutex, NULL); -#endif pthread_cond_init(¬ifierCV, NULL); /* @@ -1455,8 +1399,8 @@ AtForkChild(void) */ #ifdef __CYGWIN__ DestroyWindow(tsdPtr->hwnd); - tsdPtr->hwnd = CreateWindowExW(NULL, NotfyClassName, - NotfyClassName, 0, 0, 0, 0, 0, NULL, NULL, + tsdPtr->hwnd = CreateWindowExW(NULL, className, + className, 0, 0, 0, 0, 0, NULL, NULL, TclWinGetTclInstance(), NULL); ResetEvent(tsdPtr->event); #else diff --git a/win/tclWinNotify.c b/win/tclWinNotify.c index 4543b02..ea4035b 100644 --- a/win/tclWinNotify.c +++ b/win/tclWinNotify.c @@ -50,7 +50,7 @@ static Tcl_ThreadDataKey dataKey; */ static int notifierCount = 0; -static const TCHAR classname[] = TEXT("TclNotifier"); +static const TCHAR className[] = TEXT("TclNotifier"); TCL_DECLARE_MUTEX(notifierMutex) /* @@ -98,7 +98,7 @@ Tcl_InitNotifier(void) class.hInstance = TclWinGetTclInstance(); class.hbrBackground = NULL; class.lpszMenuName = NULL; - class.lpszClassName = classname; + class.lpszClassName = className; class.lpfnWndProc = NotifierProc; class.hIcon = NULL; class.hCursor = NULL; @@ -186,7 +186,7 @@ Tcl_FinalizeNotifier( Tcl_MutexLock(¬ifierMutex); notifierCount--; if (notifierCount == 0) { - UnregisterClass(classname, TclWinGetTclInstance()); + UnregisterClass(className, TclWinGetTclInstance()); } Tcl_MutexUnlock(¬ifierMutex); } @@ -350,7 +350,7 @@ Tcl_ServiceModeHook( */ if (mode == TCL_SERVICE_ALL && !tsdPtr->hwnd) { - tsdPtr->hwnd = CreateWindow(classname, classname, + tsdPtr->hwnd = CreateWindow(className, className, WS_TILED, 0, 0, 0, 0, NULL, NULL, TclWinGetTclInstance(), NULL); diff --git a/win/tclWinSock.c b/win/tclWinSock.c index a022ed5..c71aa96 100644 --- a/win/tclWinSock.c +++ b/win/tclWinSock.c @@ -62,15 +62,6 @@ #undef TCL_FEATURE_KEEPALIVE_NAGLE /* - * Make sure to remove the redirection defines set in tclWinPort.h that is in - * use in other sections of the core, except for us. - */ - -#undef getservbyname -#undef getsockopt -#undef setsockopt - -/* * Helper macros to make parts of this file clearer. The macros do exactly * what they say on the tin. :-) They also only ever refer to their arguments * once, and so can be used without regard to side effects. @@ -90,7 +81,7 @@ */ static int initialized = 0; -static const TCHAR classname[] = TEXT("TclSocket"); +static const TCHAR className[] = TEXT("TclSocket"); TCL_DECLARE_MUTEX(socketMutex) /* @@ -2336,7 +2327,7 @@ InitSockets(void) windowClass.hInstance = TclWinGetTclInstance(); windowClass.hbrBackground = NULL; windowClass.lpszMenuName = NULL; - windowClass.lpszClassName = classname; + windowClass.lpszClassName = className; windowClass.lpfnWndProc = SocketProc; windowClass.hIcon = NULL; windowClass.hCursor = NULL; @@ -2466,7 +2457,7 @@ SocketExitHandler( */ TclpFinalizeSockets(); - UnregisterClass(classname, TclWinGetTclInstance()); + UnregisterClass(className, TclWinGetTclInstance()); initialized = 0; Tcl_MutexUnlock(&socketMutex); } @@ -2992,7 +2983,7 @@ SocketThread( * Create a dummy window receiving socket events. */ - tsdPtr->hwnd = CreateWindow(classname, classname, WS_TILED, 0, 0, 0, 0, + tsdPtr->hwnd = CreateWindow(className, className, WS_TILED, 0, 0, 0, 0, NULL, NULL, windowClass.hInstance, arg); /* -- cgit v0.12 From 5b2c3db492538b64ee77ef4873492a9a101f55bc Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 4 Apr 2016 15:43:49 +0000 Subject: Merge *both* commits to get the TclAsyncReady optimization. Without both parts, the test interp-34.3.1 hangs. --- generic/tclExecute.c | 27 +++++++++++++++++---------- 1 file changed, 17 insertions(+), 10 deletions(-) diff --git a/generic/tclExecute.c b/generic/tclExecute.c index d4077f5..823f619 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -35,14 +35,14 @@ #endif /* - * A mask (should be 2**n-1) that is used to work out when the bytecode engine - * should call Tcl_AsyncReady() to see whether there is a signal that needs - * handling. + * A counter that is used to work out when the bytecode engine should call + * Tcl_AsyncReady() to see whether there is a signal that needs handling, and + * other expensive periodic operations. */ -#ifndef ASYNC_CHECK_COUNT_MASK -# define ASYNC_CHECK_COUNT_MASK 63 -#endif /* !ASYNC_CHECK_COUNT_MASK */ +#ifndef ASYNC_CHECK_COUNT +# define ASYNC_CHECK_COUNT 64 +#endif /* !ASYNC_CHECK_COUNT */ /* * Boolean flag indicating whether the Tcl bytecode interpreter has been @@ -2115,8 +2115,14 @@ TEBCresume( * sporadically: no special need for speed. */ - int instructionCount = 0; /* Counter that is used to work out when to - * call Tcl_AsyncReady() */ + unsigned interruptCounter = 1; + /* Counter that is used to work out when to + * call Tcl_AsyncReady(). This must be 1 + * initially so that we call the async-check + * stanza early, otherwise there are command + * sequences that can make the interpreter + * busy-loop without an opportunity to + * recognise an interrupt. */ const char *curInstName; #ifdef TCL_COMPILE_DEBUG int traceInstructions; /* Whether we are doing instruction-level @@ -2314,10 +2320,11 @@ TEBCresume( /* * Check for asynchronous handlers [Bug 746722]; we do the check every - * ASYNC_CHECK_COUNT_MASK instruction, of the form (2**n-1). + * ASYNC_CHECK_COUNT instructions. */ - if ((instructionCount++ & ASYNC_CHECK_COUNT_MASK) == 0) { + if ((--interruptCounter) == 0) { + interruptCounter = ASYNC_CHECK_COUNT; DECACHE_STACK_INFO(); if (TclAsyncReady(iPtr)) { result = Tcl_AsyncInvoke(interp, result); -- cgit v0.12 From 7032562591b12990b1b45ad8815bb30513a4d8e1 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 5 Apr 2016 09:32:43 +0000 Subject: Rename UtfCount() to TclUtfCount() and use it in more places. Suggested by pspjuth here: [e99a79a32650e7e5] --- generic/tclInt.h | 1 + generic/tclStringObj.c | 4 ++-- generic/tclUtf.c | 22 ++++++++-------------- 3 files changed, 11 insertions(+), 16 deletions(-) diff --git a/generic/tclInt.h b/generic/tclInt.h index 34430c8..1dab0cb 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -3133,6 +3133,7 @@ MODULE_SCOPE int TclTrimLeft(const char *bytes, int numBytes, MODULE_SCOPE int TclTrimRight(const char *bytes, int numBytes, const char *trim, int numTrim); MODULE_SCOPE int TclUtfCasecmp(const char *cs, const char *ct); +MODULE_SCOPE int TclUtfCount(int ch); MODULE_SCOPE Tcl_Obj * TclpNativeToNormalized(ClientData clientData); MODULE_SCOPE Tcl_Obj * TclpFilesystemPathType(Tcl_Obj *pathPtr); MODULE_SCOPE int TclpDlopen(Tcl_Interp *interp, Tcl_Obj *pathPtr, diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index e718749..b480735 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -2967,7 +2967,7 @@ ExtendStringRepWithUnicode( */ int i, origLength, size = 0; - char *dst, buf[TCL_UTF_MAX]; + char *dst; String *stringPtr = GET_STRING(objPtr); if (numChars < 0) { @@ -2993,7 +2993,7 @@ ExtendStringRepWithUnicode( } for (i = 0; i < numChars && size >= 0; i++) { - size += Tcl_UniCharToUtf((int) unicode[i], buf); + size += TclUtfCount(unicode[i]); } if (size < 0) { Tcl_Panic("max size for a Tcl value (%d bytes) exceeded", INT_MAX); diff --git a/generic/tclUtf.c b/generic/tclUtf.c index b878149..6c4cb7f 100644 --- a/generic/tclUtf.c +++ b/generic/tclUtf.c @@ -84,17 +84,11 @@ static const unsigned char totalBytes[256] = { 1,1,1,1 #endif }; - -/* - * Functions used only in this module. - */ - -static int UtfCount(int ch); /* *--------------------------------------------------------------------------- * - * UtfCount -- + * TclUtfCount -- * * Find the number of bytes in the Utf character "ch". * @@ -107,8 +101,8 @@ static int UtfCount(int ch); *--------------------------------------------------------------------------- */ -INLINE static int -UtfCount( +int +TclUtfCount( int ch) /* The Tcl_UniChar whose size is returned. */ { if ((ch > 0) && (ch < UNICODE_SELF)) { @@ -143,7 +137,7 @@ UtfCount( *--------------------------------------------------------------------------- */ -INLINE int +int Tcl_UniCharToUtf( int ch, /* The Tcl_UniChar to be stored in the * buffer. */ @@ -829,7 +823,7 @@ Tcl_UtfToUpper( * char to dst if its size is <= the original char. */ - if (bytes < UtfCount(upChar)) { + if (bytes < TclUtfCount(upChar)) { memcpy(dst, src, (size_t) bytes); dst += bytes; } else { @@ -882,7 +876,7 @@ Tcl_UtfToLower( * char to dst if its size is <= the original char. */ - if (bytes < UtfCount(lowChar)) { + if (bytes < TclUtfCount(lowChar)) { memcpy(dst, src, (size_t) bytes); dst += bytes; } else { @@ -932,7 +926,7 @@ Tcl_UtfToTitle( bytes = TclUtfToUniChar(src, &ch); titleChar = Tcl_UniCharToTitle(ch); - if (bytes < UtfCount(titleChar)) { + if (bytes < TclUtfCount(titleChar)) { memcpy(dst, src, (size_t) bytes); dst += bytes; } else { @@ -944,7 +938,7 @@ Tcl_UtfToTitle( bytes = TclUtfToUniChar(src, &ch); lowChar = Tcl_UniCharToLower(ch); - if (bytes < UtfCount(lowChar)) { + if (bytes < TclUtfCount(lowChar)) { memcpy(dst, src, (size_t) bytes); dst += bytes; } else { -- cgit v0.12 From 5f08f4b52618056de417f6d543d5bd596d9197eb Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 11 Apr 2016 17:29:47 +0000 Subject: [d1f55451c6] Remove unnecessary panic routines. --- generic/tclVar.c | 30 ++---------------------------- 1 file changed, 2 insertions(+), 28 deletions(-) diff --git a/generic/tclVar.c b/generic/tclVar.c index be035f7..b5b5b10 100644 --- a/generic/tclVar.c +++ b/generic/tclVar.c @@ -202,14 +202,10 @@ MODULE_SCOPE Var * TclLookupSimpleVar(Tcl_Interp *interp, static Tcl_DupInternalRepProc DupLocalVarName; static Tcl_FreeInternalRepProc FreeLocalVarName; -static Tcl_UpdateStringProc PanicOnUpdateVarName; static Tcl_FreeInternalRepProc FreeParsedVarName; static Tcl_DupInternalRepProc DupParsedVarName; -static Tcl_UpdateStringProc PanicOnUpdateVarName; -static Tcl_SetFromAnyProc PanicOnSetVarName; - /* * Types of Tcl_Objs used to cache variable lookups. * @@ -231,12 +227,12 @@ static Tcl_SetFromAnyProc PanicOnSetVarName; static const Tcl_ObjType localVarNameType = { "localVarName", - FreeLocalVarName, DupLocalVarName, PanicOnUpdateVarName, PanicOnSetVarName + FreeLocalVarName, DupLocalVarName, NULL, NULL }; static const Tcl_ObjType tclParsedVarNameType = { "parsedVarName", - FreeParsedVarName, DupParsedVarName, PanicOnUpdateVarName, PanicOnSetVarName + FreeParsedVarName, DupParsedVarName, NULL, NULL }; /* @@ -5505,28 +5501,6 @@ TclObjVarErrMsg( */ /* - * Panic functions that should never be called in normal operation. - */ - -static void -PanicOnUpdateVarName( - Tcl_Obj *objPtr) -{ - Tcl_Panic("%s of type %s should not be called", "updateStringProc", - objPtr->typePtr->name); -} - -static int -PanicOnSetVarName( - Tcl_Interp *interp, - Tcl_Obj *objPtr) -{ - Tcl_Panic("%s of type %s should not be called", "setFromAnyProc", - objPtr->typePtr->name); - return TCL_ERROR; -} - -/* * localVarName - * * INTERNALREP DEFINITION: -- cgit v0.12 From 9a625d23f10c30494d1e132eb1bb57bf7486d26b Mon Sep 17 00:00:00 2001 From: gahr Date: Wed, 20 Apr 2016 19:27:31 +0000 Subject: Implement msec and usec verbosity levels in tcltest::configure --- doc/tcltest.n | 8 ++++++-- library/tcltest/tcltest.tcl | 36 ++++++++++++++++++++++++++++++++---- 2 files changed, 38 insertions(+), 6 deletions(-) diff --git a/doc/tcltest.n b/doc/tcltest.n index cedc763..ac8b73b 100644 --- a/doc/tcltest.n +++ b/doc/tcltest.n @@ -872,8 +872,8 @@ harness are doing. . Sets the type of output verbosity desired to \fIlevel\fR, a list of zero or more of the elements \fBbody\fR, \fBpass\fR, -\fBskip\fR, \fBstart\fR, \fBerror\fR and \fBline\fR. Default value -is +\fBskip\fR, \fBstart\fR, \fBerror\fR, \fBline\fR, \fBmsec\fR and \fBusec\fR. +Default value is .QW "\fBbody error\fR" . Levels are defined as: .RS @@ -890,6 +890,10 @@ Print errorInfo and errorCode, if they exist, when a test return code does not match its expected return code .IP "line (\fBl\fR)" Print source file line information of failed tests +.IP "msec (\fBm\fR)" +Print each test's execution time in milliseconds +.IP "usec (\fBu\fR)" +Print each test's execution time in microseconds .PP The single letter abbreviations noted above are also recognized so that diff --git a/library/tcltest/tcltest.tcl b/library/tcltest/tcltest.tcl index 29ef778..30965b8 100644 --- a/library/tcltest/tcltest.tcl +++ b/library/tcltest/tcltest.tcl @@ -611,16 +611,27 @@ namespace eval tcltest { proc AcceptVerbose { level } { set level [AcceptList $level] + set levelMap { + l list + p pass + b body + s skip + t start + e error + l line + m msec + u usec + } + set levelRegexp "^([join [dict values $levelMap] |])\$" if {[llength $level] == 1} { - if {![regexp {^(pass|body|skip|start|error|line)$} $level]} { + if {![regexp $levelRegexp $level]} { # translate single characters abbreviations to expanded list - set level [string map {p pass b body s skip t start e error l line} \ - [split $level {}]] + set level [string map $levelMap [split $level {}]] } } set valid [list] foreach v $level { - if {[regexp {^(pass|body|skip|start|error|line)$} $v]} { + if {[regexp $levelRegexp $v]} { lappend valid $v } } @@ -1972,6 +1983,14 @@ proc tcltest::test {name description args} { # Only run the test body if the setup was successful if {!$setupFailure} { + # Register startup time + if {[IsVerbose msec]} { + set msStart [clock milliseconds] + } + if {[IsVerbose usec]} { + set usStart [clock microseconds] + } + # Verbose notification of $body start if {[IsVerbose start]} { puts [outputChannel] "---- $name start" @@ -2076,6 +2095,15 @@ proc tcltest::test {name description args} { } } + if {[IsVerbose msec]} { + set elapsed [expr {[clock milliseconds] - $msStart}] + puts [outputChannel] "++++ $name took $elapsed ms" + } + if {[IsVerbose usec]} { + set elapsed [expr {[clock microseconds] - $usStart}] + puts [outputChannel] "++++ $name took $elapsed μs" + } + # if we didn't experience any failures, then we passed variable numTests if {!($setupFailure || $cleanupFailure || $coreFailure -- cgit v0.12 From 46069c41c59226ee28c31faca3a66afc9582bc31 Mon Sep 17 00:00:00 2001 From: gahr Date: Wed, 20 Apr 2016 19:37:31 +0000 Subject: Bump tcltest version to 2.3.9 --- library/tcltest/pkgIndex.tcl | 2 +- library/tcltest/tcltest.tcl | 2 +- unix/Makefile.in | 4 ++-- win/Makefile.in | 4 ++-- 4 files changed, 6 insertions(+), 6 deletions(-) diff --git a/library/tcltest/pkgIndex.tcl b/library/tcltest/pkgIndex.tcl index 987725f..06097fd 100644 --- a/library/tcltest/pkgIndex.tcl +++ b/library/tcltest/pkgIndex.tcl @@ -9,4 +9,4 @@ # full path name of this file's directory. if {![package vsatisfies [package provide Tcl] 8.5]} {return} -package ifneeded tcltest 2.3.8 [list source [file join $dir tcltest.tcl]] +package ifneeded tcltest 2.3.9 [list source [file join $dir tcltest.tcl]] diff --git a/library/tcltest/tcltest.tcl b/library/tcltest/tcltest.tcl index 30965b8..3d8ae5f 100644 --- a/library/tcltest/tcltest.tcl +++ b/library/tcltest/tcltest.tcl @@ -22,7 +22,7 @@ namespace eval tcltest { # When the version number changes, be sure to update the pkgIndex.tcl file, # and the install directory in the Makefiles. When the minor version # changes (new feature) be sure to update the man page as well. - variable Version 2.3.8 + variable Version 2.3.9 # Compatibility support for dumb variables defined in tcltest 1 # Do not use these. Call [package provide Tcl] and [info patchlevel] diff --git a/unix/Makefile.in b/unix/Makefile.in index d9f8bbc..2c96973 100644 --- a/unix/Makefile.in +++ b/unix/Makefile.in @@ -849,8 +849,8 @@ install-libraries: libraries done; @echo "Installing package msgcat 1.6.0 as a Tcl Module"; @$(INSTALL_DATA) $(TOP_DIR)/library/msgcat/msgcat.tcl "$(SCRIPT_INSTALL_DIR)"/../tcl8/8.5/msgcat-1.6.0.tm; - @echo "Installing package tcltest 2.3.8 as a Tcl Module"; - @$(INSTALL_DATA) $(TOP_DIR)/library/tcltest/tcltest.tcl "$(SCRIPT_INSTALL_DIR)"/../tcl8/8.5/tcltest-2.3.8.tm; + @echo "Installing package tcltest 2.3.9 as a Tcl Module"; + @$(INSTALL_DATA) $(TOP_DIR)/library/tcltest/tcltest.tcl "$(SCRIPT_INSTALL_DIR)"/../tcl8/8.5/tcltest-2.3.9.tm; @echo "Installing package platform 1.0.14 as a Tcl Module"; @$(INSTALL_DATA) $(TOP_DIR)/library/platform/platform.tcl "$(SCRIPT_INSTALL_DIR)"/../tcl8/8.4/platform-1.0.14.tm; diff --git a/win/Makefile.in b/win/Makefile.in index 2d27a41..1368671 100644 --- a/win/Makefile.in +++ b/win/Makefile.in @@ -660,8 +660,8 @@ install-libraries: libraries install-tzdata install-msgs done; @echo "Installing package msgcat 1.6.0 as a Tcl Module"; @$(COPY) $(ROOT_DIR)/library/msgcat/msgcat.tcl $(SCRIPT_INSTALL_DIR)/../tcl8/8.5/msgcat-1.6.0.tm; - @echo "Installing package tcltest 2.3.8 as a Tcl Module"; - @$(COPY) $(ROOT_DIR)/library/tcltest/tcltest.tcl $(SCRIPT_INSTALL_DIR)/../tcl8/8.5/tcltest-2.3.8.tm; + @echo "Installing package tcltest 2.3.9 as a Tcl Module"; + @$(COPY) $(ROOT_DIR)/library/tcltest/tcltest.tcl $(SCRIPT_INSTALL_DIR)/../tcl8/8.5/tcltest-2.3.9.tm; @echo "Installing package platform 1.0.14 as a Tcl Module"; @$(COPY) $(ROOT_DIR)/library/platform/platform.tcl $(SCRIPT_INSTALL_DIR)/../tcl8/8.4/platform-1.0.14.tm; @echo "Installing package platform::shell 1.1.4 as a Tcl Module"; -- cgit v0.12 From b46c53fec03b48c96092ef01990c03a00891fb8c Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 22 Apr 2016 18:13:17 +0000 Subject: Refactor bytecode cleanup. --- generic/tclAssembly.c | 8 ++------ generic/tclCompile.c | 41 +++++++++++++++++++++++++++-------------- generic/tclCompile.h | 3 ++- generic/tclExecute.c | 17 +++++------------ 4 files changed, 36 insertions(+), 33 deletions(-) diff --git a/generic/tclAssembly.c b/generic/tclAssembly.c index 6d5676b..7db5d69 100644 --- a/generic/tclAssembly.c +++ b/generic/tclAssembly.c @@ -866,7 +866,7 @@ CompileAssembleObj( * Not valid, so free it and regenerate. */ - FreeAssembleCodeInternalRep(objPtr); + TclFreeIntRep(objPtr); } /* @@ -4313,11 +4313,7 @@ FreeAssembleCodeInternalRep( { ByteCode *codePtr = objPtr->internalRep.twoPtrValue.ptr1; - codePtr->refCount--; - if (codePtr->refCount <= 0) { - TclCleanupByteCode(codePtr); - } - objPtr->typePtr = NULL; + TclReleaseByteCode(codePtr); } /* diff --git a/generic/tclCompile.c b/generic/tclCompile.c index c0b5dcc..002b551 100644 --- a/generic/tclCompile.c +++ b/generic/tclCompile.c @@ -661,6 +661,7 @@ InstructionDesc const tclInstructionTable[] = { * Prototypes for procedures defined later in this file: */ +static void CleanupByteCode(ByteCode *codePtr); static ByteCode * CompileSubstObj(Tcl_Interp *interp, Tcl_Obj *objPtr, int flags); static void DupByteCodeInternalRep(Tcl_Obj *srcPtr, @@ -967,16 +968,13 @@ FreeByteCodeInternalRep( { register ByteCode *codePtr = objPtr->internalRep.twoPtrValue.ptr1; - objPtr->typePtr = NULL; - if (codePtr->refCount-- <= 1) { - TclCleanupByteCode(codePtr); - } + TclReleaseByteCode(codePtr); } /* *---------------------------------------------------------------------- * - * TclCleanupByteCode -- + * TclReleaseByteCode -- * * This procedure does all the real work of freeing up a bytecode * object's ByteCode structure. It's called only when the structure's @@ -993,7 +991,26 @@ FreeByteCodeInternalRep( */ void -TclCleanupByteCode( +TclPreserveByteCode( + register ByteCode *codePtr) +{ + codePtr->refCount++; +} + +void +TclReleaseByteCode( + register ByteCode *codePtr) +{ + if (--codePtr->refCount) { + return; + } + + /* Just dropped to refcount==0. Clean up. */ + CleanupByteCode(codePtr); +} + +static void +CleanupByteCode( register ByteCode *codePtr) /* Points to the ByteCode to free. */ { Tcl_Interp *interp = (Tcl_Interp *) *codePtr->interpHandle; @@ -1260,8 +1277,6 @@ Tcl_NRSubstObj( * * Results: * A (ByteCode *) is returned pointing to the resulting ByteCode. - * The caller must manage its refCount and arrange for a call to - * TclCleanupByteCode() when the last reference disappears. * * Side effects: * The Tcl_ObjType of objPtr is changed to the "substcode" type, and the @@ -1292,7 +1307,7 @@ CompileSubstObj( || (codePtr->nsEpoch != nsPtr->resolverEpoch) || (codePtr->localCachePtr != iPtr->varFramePtr->localCachePtr)) { - FreeSubstCodeInternalRep(objPtr); + TclFreeIntRep(objPtr); } } if (objPtr->typePtr != &substCodeType) { @@ -1353,10 +1368,7 @@ FreeSubstCodeInternalRep( { register ByteCode *codePtr = objPtr->internalRep.twoPtrValue.ptr1; - objPtr->typePtr = NULL; - if (codePtr->refCount-- <= 1) { - TclCleanupByteCode(codePtr); - } + TclReleaseByteCode(codePtr); } static void @@ -2752,7 +2764,8 @@ TclInitByteCodeObj( codePtr->compileEpoch = iPtr->compileEpoch; codePtr->nsPtr = namespacePtr; codePtr->nsEpoch = namespacePtr->resolverEpoch; - codePtr->refCount = 1; + codePtr->refCount = 0; + TclPreserveByteCode(codePtr); if (namespacePtr->compiledVarResProc || iPtr->resolverPtr) { codePtr->flags = TCL_BYTECODE_RESOLVE_VARS; } else { diff --git a/generic/tclCompile.h b/generic/tclCompile.h index d5bc86b..86a9db0 100644 --- a/generic/tclCompile.h +++ b/generic/tclCompile.h @@ -1067,7 +1067,6 @@ MODULE_SCOPE ByteCode * TclCompileObj(Tcl_Interp *interp, Tcl_Obj *objPtr, MODULE_SCOPE int TclAttemptCompileProc(Tcl_Interp *interp, Tcl_Parse *parsePtr, int depth, Command *cmdPtr, CompileEnv *envPtr); -MODULE_SCOPE void TclCleanupByteCode(ByteCode *codePtr); MODULE_SCOPE void TclCleanupStackForBreakContinue(CompileEnv *envPtr, ExceptionAux *auxPtr); MODULE_SCOPE void TclCompileCmdWord(Tcl_Interp *interp, @@ -1157,6 +1156,8 @@ MODULE_SCOPE void TclPushVarName(Tcl_Interp *interp, Tcl_Token *varTokenPtr, CompileEnv *envPtr, int flags, int *localIndexPtr, int *isScalarPtr); +MODULE_SCOPE void TclPreserveByteCode(ByteCode *codePtr); +MODULE_SCOPE void TclReleaseByteCode(ByteCode *codePtr); MODULE_SCOPE void TclReleaseLiteral(Tcl_Interp *interp, Tcl_Obj *objPtr); MODULE_SCOPE void TclInvalidateCmdLiteral(Tcl_Interp *interp, const char *name, Namespace *nsPtr); diff --git a/generic/tclExecute.c b/generic/tclExecute.c index 823f619..2a2b951 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -1499,11 +1499,9 @@ ExprObjCallback( * * Results: * A (ByteCode *) is returned pointing to the resulting ByteCode. - * The caller must manage its refCount and arrange for a call to - * TclCleanupByteCode() when the last reference disappears. * * Side effects: - * The Tcl_ObjType of objPtr is changed to the "bytecode" type, + * The Tcl_ObjType of objPtr is changed to the "exprcode" type, * and the ByteCode is kept in the internal rep (along with context * data for checking validity) for faster operations the next time * CompileExprObj is called on the same value. @@ -1536,7 +1534,7 @@ CompileExprObj( || (codePtr->nsPtr != namespacePtr) || (codePtr->nsEpoch != namespacePtr->resolverEpoch) || (codePtr->localCachePtr != iPtr->varFramePtr->localCachePtr)) { - FreeExprCodeInternalRep(objPtr); + TclFreeIntRep(objPtr); } } if (objPtr->typePtr != &exprCodeType) { @@ -1644,10 +1642,7 @@ FreeExprCodeInternalRep( { ByteCode *codePtr = objPtr->internalRep.twoPtrValue.ptr1; - objPtr->typePtr = NULL; - if (codePtr->refCount-- <= 1) { - TclCleanupByteCode(codePtr); - } + TclReleaseByteCode(codePtr); } /* @@ -2033,7 +2028,7 @@ TclNRExecuteByteCode( * sizeof(void *); int numWords = (size + sizeof(Tcl_Obj *) - 1) / sizeof(Tcl_Obj *); - codePtr->refCount++; + TclPreserveByteCode(codePtr); /* * Reserve the stack, setup the TEBCdataPtr (TD) and CallFrame @@ -8189,9 +8184,7 @@ TEBCresume( } iPtr->cmdFramePtr = bcFramePtr->nextPtr; - if (codePtr->refCount-- <= 1) { - TclCleanupByteCode(codePtr); - } + TclReleaseByteCode(codePtr); TclStackFree(interp, TD); /* free my stack */ return result; -- cgit v0.12 From 8be766f938d6042a4a05a1ddd6dcb4ec3b99f27b Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 29 Apr 2016 17:34:14 +0000 Subject: Refactor bytecode initialization machinery. --- generic/tclCompile.c | 47 ++++++++++++++++++++++++----------------------- 1 file changed, 24 insertions(+), 23 deletions(-) diff --git a/generic/tclCompile.c b/generic/tclCompile.c index 002b551..8665187 100644 --- a/generic/tclCompile.c +++ b/generic/tclCompile.c @@ -2735,6 +2735,29 @@ TclInitByteCodeObj( iPtr = envPtr->iPtr; + for (i = 0; i < numLitObjects; i++) { + if (objPtr == TclFetchLiteral(envPtr, i)) { + /* + * Prevent circular reference where the bytecode intrep of + * a value contains a literal which is that same value. + * If this is allowed to happen, refcount decrements may not + * reach zero, and memory may leak. Bugs 467523, 3357771 + * + * NOTE: [Bugs 3392070, 3389764] We make a copy based completely + * on the string value, and do not call Tcl_DuplicateObj() so we + * can be sure we do not have any lingering cycles hiding in + * the intrep. + */ + int numBytes; + const char *bytes = Tcl_GetStringFromObj(objPtr, &numBytes); + Tcl_Obj *copyPtr = Tcl_NewStringObj(bytes, numBytes); + + Tcl_IncrRefCount(copyPtr); + TclReleaseLiteral((Tcl_Interp *)iPtr, objPtr); + + envPtr->literalArrayPtr[i].objPtr = copyPtr; + } + } codeBytes = envPtr->codeNext - envPtr->codeStart; objArrayBytes = envPtr->literalArrayNext * sizeof(Tcl_Obj *); exceptArrayBytes = envPtr->exceptArrayNext * sizeof(ExceptionRange); @@ -2791,29 +2814,7 @@ TclInitByteCodeObj( p += TCL_ALIGN(codeBytes); /* align object array */ codePtr->objArrayPtr = (Tcl_Obj **) p; for (i = 0; i < numLitObjects; i++) { - Tcl_Obj *fetched = TclFetchLiteral(envPtr, i); - - if (objPtr == fetched) { - /* - * Prevent circular reference where the bytecode intrep of - * a value contains a literal which is that same value. - * If this is allowed to happen, refcount decrements may not - * reach zero, and memory may leak. Bugs 467523, 3357771 - * - * NOTE: [Bugs 3392070, 3389764] We make a copy based completely - * on the string value, and do not call Tcl_DuplicateObj() so we - * can be sure we do not have any lingering cycles hiding in - * the intrep. - */ - int numBytes; - const char *bytes = Tcl_GetStringFromObj(objPtr, &numBytes); - - codePtr->objArrayPtr[i] = Tcl_NewStringObj(bytes, numBytes); - Tcl_IncrRefCount(codePtr->objArrayPtr[i]); - TclReleaseLiteral((Tcl_Interp *)iPtr, objPtr); - } else { - codePtr->objArrayPtr[i] = fetched; - } + codePtr->objArrayPtr[i] = TclFetchLiteral(envPtr, i); } p += TCL_ALIGN(objArrayBytes); /* align exception range array */ -- cgit v0.12 From 272c398b78060d7d8b575bb5aa652f37aa08d666 Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 29 Apr 2016 17:52:30 +0000 Subject: Tease apart the bytecode creation machinery from the Tcl_Obj intrep machinery. --- generic/tclCompile.c | 92 ++++++++++++++++++++++++++++++++-------------------- 1 file changed, 57 insertions(+), 35 deletions(-) diff --git a/generic/tclCompile.c b/generic/tclCompile.c index 8665187..8837f06 100644 --- a/generic/tclCompile.c +++ b/generic/tclCompile.c @@ -2709,33 +2709,14 @@ TclCompileNoOp( *---------------------------------------------------------------------- */ -void -TclInitByteCodeObj( - Tcl_Obj *objPtr, /* Points object that should be initialized, - * and whose string rep contains the source - * code. */ - register CompileEnv *envPtr)/* Points to the CompileEnv structure from - * which to create a ByteCode structure. */ +static void +PreventCycle( + Tcl_Obj *objPtr, + CompileEnv *envPtr) { - register ByteCode *codePtr; - size_t codeBytes, objArrayBytes, exceptArrayBytes, cmdLocBytes; - size_t auxDataArrayBytes, structureSize; - register unsigned char *p; -#ifdef TCL_COMPILE_DEBUG - unsigned char *nextPtr; -#endif - int numLitObjects = envPtr->literalArrayNext; - Namespace *namespacePtr; - int i, isNew; - Interp *iPtr; - - if (envPtr->iPtr == NULL) { - Tcl_Panic("TclInitByteCodeObj() called on uninitialized CompileEnv"); - } - - iPtr = envPtr->iPtr; + int i; - for (i = 0; i < numLitObjects; i++) { + for (i = 0; i < envPtr->literalArrayNext; i++) { if (objPtr == TclFetchLiteral(envPtr, i)) { /* * Prevent circular reference where the bytecode intrep of @@ -2753,11 +2734,36 @@ TclInitByteCodeObj( Tcl_Obj *copyPtr = Tcl_NewStringObj(bytes, numBytes); Tcl_IncrRefCount(copyPtr); - TclReleaseLiteral((Tcl_Interp *)iPtr, objPtr); + TclReleaseLiteral((Tcl_Interp *)envPtr->iPtr, objPtr); envPtr->literalArrayPtr[i].objPtr = copyPtr; } } +} + +static ByteCode * +TclInitByteCode( + register CompileEnv *envPtr)/* Points to the CompileEnv structure from + * which to create a ByteCode structure. */ +{ + register ByteCode *codePtr; + size_t codeBytes, objArrayBytes, exceptArrayBytes, cmdLocBytes; + size_t auxDataArrayBytes, structureSize; + register unsigned char *p; +#ifdef TCL_COMPILE_DEBUG + unsigned char *nextPtr; +#endif + int numLitObjects = envPtr->literalArrayNext; + Namespace *namespacePtr; + int i, isNew; + Interp *iPtr; + + if (envPtr->iPtr == NULL) { + Tcl_Panic("TclInitByteCodeObj() called on uninitialized CompileEnv"); + } + + iPtr = envPtr->iPtr; + codeBytes = envPtr->codeNext - envPtr->codeStart; objArrayBytes = envPtr->literalArrayNext * sizeof(Tcl_Obj *); exceptArrayBytes = envPtr->exceptArrayNext * sizeof(ExceptionRange); @@ -2857,15 +2863,6 @@ TclInitByteCodeObj( #endif /* TCL_COMPILE_STATS */ /* - * Free the old internal rep then convert the object to a bytecode object - * by making its internal rep point to the just compiled ByteCode. - */ - - TclFreeIntRep(objPtr); - objPtr->internalRep.twoPtrValue.ptr1 = codePtr; - objPtr->typePtr = &tclByteCodeType; - - /* * TIP #280. Associate the extended per-word line information with the * byte code object (internal rep), for use with the bc compiler. */ @@ -2878,6 +2875,31 @@ TclInitByteCodeObj( envPtr->iPtr = NULL; codePtr->localCachePtr = NULL; + return codePtr; +} + +void +TclInitByteCodeObj( + Tcl_Obj *objPtr, /* Points object that should be initialized, + * and whose string rep contains the source + * code. */ + register CompileEnv *envPtr)/* Points to the CompileEnv structure from + * which to create a ByteCode structure. */ +{ + ByteCode *codePtr; + + PreventCycle(objPtr, envPtr); + + codePtr = TclInitByteCode(envPtr); + + /* + * Free the old internal rep then convert the object to a bytecode object + * by making its internal rep point to the just compiled ByteCode. + */ + + TclFreeIntRep(objPtr); + objPtr->internalRep.twoPtrValue.ptr1 = codePtr; + objPtr->typePtr = &tclByteCodeType; } /* -- cgit v0.12 From 44deb5c463cd7905f01f7cb74ac29d0e9d90972a Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 29 Apr 2016 17:58:33 +0000 Subject: Make obj-free bytecode maker available to rest of compile-related files. --- generic/tclCompile.c | 3 ++- generic/tclCompile.h | 1 + 2 files changed, 3 insertions(+), 1 deletion(-) diff --git a/generic/tclCompile.c b/generic/tclCompile.c index 8837f06..32a09b2 100644 --- a/generic/tclCompile.c +++ b/generic/tclCompile.c @@ -677,6 +677,7 @@ static void FreeSubstCodeInternalRep(Tcl_Obj *objPtr); static int GetCmdLocEncodingSize(CompileEnv *envPtr); static int IsCompactibleCompileEnv(Tcl_Interp *interp, CompileEnv *envPtr); +static void PreventCycle(Tcl_Obj *objPtr, CompileEnv *envPtr); #ifdef TCL_COMPILE_STATS static void RecordByteCodeStats(ByteCode *codePtr); #endif /* TCL_COMPILE_STATS */ @@ -2741,7 +2742,7 @@ PreventCycle( } } -static ByteCode * +ByteCode * TclInitByteCode( register CompileEnv *envPtr)/* Points to the CompileEnv structure from * which to create a ByteCode structure. */ diff --git a/generic/tclCompile.h b/generic/tclCompile.h index 86a9db0..af8d60f 100644 --- a/generic/tclCompile.h +++ b/generic/tclCompile.h @@ -1118,6 +1118,7 @@ MODULE_SCOPE int TclFixupForwardJump(CompileEnv *envPtr, int distThreshold); MODULE_SCOPE void TclFreeCompileEnv(CompileEnv *envPtr); MODULE_SCOPE void TclFreeJumpFixupArray(JumpFixupArray *fixupArrayPtr); +MODULE_SCOPE ByteCode * TclInitByteCode(CompileEnv *envPtr); MODULE_SCOPE void TclInitByteCodeObj(Tcl_Obj *objPtr, CompileEnv *envPtr); MODULE_SCOPE void TclInitCompileEnv(Tcl_Interp *interp, -- cgit v0.12 From 100542f06740e0120d51ef844f61d47b10ce39ef Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 29 Apr 2016 18:02:55 +0000 Subject: No longer need to create Tcl_Obj just to make some bytecode. --- generic/tclCompExpr.c | 7 ++----- 1 file changed, 2 insertions(+), 5 deletions(-) diff --git a/generic/tclCompExpr.c b/generic/tclCompExpr.c index 4390282..654666a 100644 --- a/generic/tclCompExpr.c +++ b/generic/tclCompExpr.c @@ -2181,7 +2181,6 @@ ExecConstantExprTree( CompileEnv *envPtr; ByteCode *byteCodePtr; int code; - Tcl_Obj *byteCodeObj = Tcl_NewObj(); NRE_callback *rootPtr = TOP_CB(interp); /* @@ -2195,14 +2194,12 @@ ExecConstantExprTree( CompileExprTree(interp, nodes, index, litObjvPtr, NULL, NULL, envPtr, 0 /* optimize */); TclEmitOpcode(INST_DONE, envPtr); - Tcl_IncrRefCount(byteCodeObj); - TclInitByteCodeObj(byteCodeObj, envPtr); + byteCodePtr = TclInitByteCode(envPtr); TclFreeCompileEnv(envPtr); TclStackFree(interp, envPtr); - byteCodePtr = byteCodeObj->internalRep.twoPtrValue.ptr1; TclNRExecuteByteCode(interp, byteCodePtr); code = TclNRRunCallbacks(interp, TCL_OK, rootPtr); - Tcl_DecrRefCount(byteCodeObj); + TclReleaseByteCode(byteCodePtr); return code; } -- cgit v0.12 From d41d08e1111a2353e98c6814043b6441e6e71b64 Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 29 Apr 2016 19:29:14 +0000 Subject: Parameterize TclInitByteCodeObj to callers sense of typePtr. --- generic/tclAssembly.c | 4 +--- generic/tclCompile.c | 12 ++++++------ generic/tclCompile.h | 4 ++-- generic/tclExecute.c | 4 +--- 4 files changed, 10 insertions(+), 14 deletions(-) diff --git a/generic/tclAssembly.c b/generic/tclAssembly.c index 7db5d69..4ad31d2 100644 --- a/generic/tclAssembly.c +++ b/generic/tclAssembly.c @@ -891,15 +891,13 @@ CompileAssembleObj( */ TclEmitOpcode(INST_DONE, &compEnv); - TclInitByteCodeObj(objPtr, &compEnv); - objPtr->typePtr = &assembleCodeType; + codePtr = TclInitByteCodeObj(objPtr, &assembleCodeType, &compEnv); TclFreeCompileEnv(&compEnv); /* * Record the local variable context to which the bytecode pertains */ - codePtr = objPtr->internalRep.twoPtrValue.ptr1; if (iPtr->varFramePtr->localCachePtr) { codePtr->localCachePtr = iPtr->varFramePtr->localCachePtr; codePtr->localCachePtr->refCount++; diff --git a/generic/tclCompile.c b/generic/tclCompile.c index 32a09b2..96b418c 100644 --- a/generic/tclCompile.c +++ b/generic/tclCompile.c @@ -868,7 +868,7 @@ TclSetByteCodeFromAny( #endif /*TCL_COMPILE_DEBUG*/ if (result == TCL_OK) { - TclInitByteCodeObj(objPtr, &compEnv); + (void) TclInitByteCodeObj(objPtr, &tclByteCodeType, &compEnv); #ifdef TCL_COMPILE_DEBUG if (tclTraceCompile >= 2) { TclPrintByteCodeObj(interp, objPtr); @@ -1322,11 +1322,9 @@ CompileSubstObj( TclSubstCompile(interp, bytes, numBytes, flags, 1, &compEnv); TclEmitOpcode(INST_DONE, &compEnv); - TclInitByteCodeObj(objPtr, &compEnv); - objPtr->typePtr = &substCodeType; + codePtr = TclInitByteCodeObj(objPtr, &substCodeType, &compEnv); TclFreeCompileEnv(&compEnv); - codePtr = objPtr->internalRep.twoPtrValue.ptr1; objPtr->internalRep.twoPtrValue.ptr1 = codePtr; objPtr->internalRep.twoPtrValue.ptr2 = INT2PTR(flags); if (iPtr->varFramePtr->localCachePtr) { @@ -2879,11 +2877,12 @@ TclInitByteCode( return codePtr; } -void +ByteCode * TclInitByteCodeObj( Tcl_Obj *objPtr, /* Points object that should be initialized, * and whose string rep contains the source * code. */ + const Tcl_ObjType *typePtr, register CompileEnv *envPtr)/* Points to the CompileEnv structure from * which to create a ByteCode structure. */ { @@ -2900,7 +2899,8 @@ TclInitByteCodeObj( TclFreeIntRep(objPtr); objPtr->internalRep.twoPtrValue.ptr1 = codePtr; - objPtr->typePtr = &tclByteCodeType; + objPtr->typePtr = typePtr; + return codePtr; } /* diff --git a/generic/tclCompile.h b/generic/tclCompile.h index af8d60f..f99c07c 100644 --- a/generic/tclCompile.h +++ b/generic/tclCompile.h @@ -1119,8 +1119,8 @@ MODULE_SCOPE int TclFixupForwardJump(CompileEnv *envPtr, MODULE_SCOPE void TclFreeCompileEnv(CompileEnv *envPtr); MODULE_SCOPE void TclFreeJumpFixupArray(JumpFixupArray *fixupArrayPtr); MODULE_SCOPE ByteCode * TclInitByteCode(CompileEnv *envPtr); -MODULE_SCOPE void TclInitByteCodeObj(Tcl_Obj *objPtr, - CompileEnv *envPtr); +MODULE_SCOPE ByteCode * TclInitByteCodeObj(Tcl_Obj *objPtr, + const Tcl_ObjType *typePtr, CompileEnv *envPtr); MODULE_SCOPE void TclInitCompileEnv(Tcl_Interp *interp, CompileEnv *envPtr, const char *string, int numBytes, const CmdFrame *invoker, int word); diff --git a/generic/tclExecute.c b/generic/tclExecute.c index 2a2b951..cd28a92 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -1565,10 +1565,8 @@ CompileExprObj( */ TclEmitOpcode(INST_DONE, &compEnv); - TclInitByteCodeObj(objPtr, &compEnv); - objPtr->typePtr = &exprCodeType; + codePtr = TclInitByteCodeObj(objPtr, &exprCodeType, &compEnv); TclFreeCompileEnv(&compEnv); - codePtr = objPtr->internalRep.twoPtrValue.ptr1; if (iPtr->varFramePtr->localCachePtr) { codePtr->localCachePtr = iPtr->varFramePtr->localCachePtr; codePtr->localCachePtr->refCount++; -- cgit v0.12 From df18ecdce0832c7722af0396d30c814d1cebe3a3 Mon Sep 17 00:00:00 2001 From: gahr Date: Tue, 3 May 2016 19:50:15 +0000 Subject: =?UTF-8?q?Approximate=20ms=20by=20=CE=BCs/1000?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- library/tcltest/tcltest.tcl | 22 ++++++++++------------ 1 file changed, 10 insertions(+), 12 deletions(-) diff --git a/library/tcltest/tcltest.tcl b/library/tcltest/tcltest.tcl index 3d8ae5f..1ba3c41 100644 --- a/library/tcltest/tcltest.tcl +++ b/library/tcltest/tcltest.tcl @@ -1984,11 +1984,8 @@ proc tcltest::test {name description args} { if {!$setupFailure} { # Register startup time - if {[IsVerbose msec]} { - set msStart [clock milliseconds] - } - if {[IsVerbose usec]} { - set usStart [clock microseconds] + if {[IsVerbose msec] || [IsVerbose usec]} { + set timeStart [clock microseconds] } # Verbose notification of $body start @@ -2095,13 +2092,14 @@ proc tcltest::test {name description args} { } } - if {[IsVerbose msec]} { - set elapsed [expr {[clock milliseconds] - $msStart}] - puts [outputChannel] "++++ $name took $elapsed ms" - } - if {[IsVerbose usec]} { - set elapsed [expr {[clock microseconds] - $usStart}] - puts [outputChannel] "++++ $name took $elapsed μs" + if {[IsVerbose msec] || [IsVerbose usec]} { + set t [expr {[clock microseconds] - $timeStart}] + if {[IsVerbose usec]} { + puts [outputChannel] "++++ $name took $t μs" + } + if {[IsVerbose msec]} { + puts [outputChannel] "++++ $name took [expr {round($t/1000.)}] ms" + } } # if we didn't experience any failures, then we passed -- cgit v0.12 From bcaca1bf7b9159ba02add2f07ddff74fc872093f Mon Sep 17 00:00:00 2001 From: gahr Date: Wed, 4 May 2016 12:23:40 +0000 Subject: Add a note in tcltest manual page to betray false expectations on msec and usec. --- doc/tcltest.n | 6 ++++++ 1 file changed, 6 insertions(+) diff --git a/doc/tcltest.n b/doc/tcltest.n index ac8b73b..05c1922 100644 --- a/doc/tcltest.n +++ b/doc/tcltest.n @@ -895,6 +895,12 @@ Print each test's execution time in milliseconds .IP "usec (\fBu\fR)" Print each test's execution time in microseconds .PP +Note that the \fBmsec\fR and \fBusec\fR verbosity levels are provided as +indicative measures only. They do not tackle the problem of repeatibility which +should be considered in performance tests or benchmarks. To use these verbosity +levels to thoroughly track performance degradations, consider wrapping your +test bodies with \fBtime\fR commands. +.PP The single letter abbreviations noted above are also recognized so that .QW "\fBconfigure \-verbose pt\fR" -- cgit v0.12 From cbcbd348f992ab2ae52e313fe1bb8cb51e69027d Mon Sep 17 00:00:00 2001 From: andy Date: Thu, 26 May 2016 02:19:14 +0000 Subject: Change "integer string" to "integer" in documentation for [tell]. It's not necessary to emphasize EIAS in every man page. The phrase "integer string" dates back to 1999 [ee1e5d143e], previous was "decimal string" which dates back to 1998, in fact the oldest version in Fossil [196f92fd17]. --- doc/tell.n | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/doc/tell.n b/doc/tell.n index 1da240d..a56e9e3 100644 --- a/doc/tell.n +++ b/doc/tell.n @@ -16,7 +16,7 @@ tell \- Return current access position for an open channel .BE .SH DESCRIPTION .PP -Returns an integer string giving the current access position in +Returns an integer giving the current access position in \fIchannelId\fR. This value returned is a byte offset that can be passed to \fBseek\fR in order to set the channel to a particular position. Note that this value is in terms of bytes, not characters like \fBread\fR. -- cgit v0.12 From 03462e2c1dfc9da26f049ee17a3001df257442e4 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 2 Jun 2016 12:24:28 +0000 Subject: tcltest 2.3.9 -> 2.4.0 --- library/tcltest/pkgIndex.tcl | 2 +- library/tcltest/tcltest.tcl | 2 +- unix/Makefile.in | 4 ++-- win/Makefile.in | 4 ++-- 4 files changed, 6 insertions(+), 6 deletions(-) diff --git a/library/tcltest/pkgIndex.tcl b/library/tcltest/pkgIndex.tcl index 06097fd..5ac8823 100644 --- a/library/tcltest/pkgIndex.tcl +++ b/library/tcltest/pkgIndex.tcl @@ -9,4 +9,4 @@ # full path name of this file's directory. if {![package vsatisfies [package provide Tcl] 8.5]} {return} -package ifneeded tcltest 2.3.9 [list source [file join $dir tcltest.tcl]] +package ifneeded tcltest 2.4.0 [list source [file join $dir tcltest.tcl]] diff --git a/library/tcltest/tcltest.tcl b/library/tcltest/tcltest.tcl index 5dcfc61..9997187 100644 --- a/library/tcltest/tcltest.tcl +++ b/library/tcltest/tcltest.tcl @@ -22,7 +22,7 @@ namespace eval tcltest { # When the version number changes, be sure to update the pkgIndex.tcl file, # and the install directory in the Makefiles. When the minor version # changes (new feature) be sure to update the man page as well. - variable Version 2.3.9 + variable Version 2.4.0 # Compatibility support for dumb variables defined in tcltest 1 # Do not use these. Call [package provide Tcl] and [info patchlevel] diff --git a/unix/Makefile.in b/unix/Makefile.in index 2c96973..eb083e0 100644 --- a/unix/Makefile.in +++ b/unix/Makefile.in @@ -849,8 +849,8 @@ install-libraries: libraries done; @echo "Installing package msgcat 1.6.0 as a Tcl Module"; @$(INSTALL_DATA) $(TOP_DIR)/library/msgcat/msgcat.tcl "$(SCRIPT_INSTALL_DIR)"/../tcl8/8.5/msgcat-1.6.0.tm; - @echo "Installing package tcltest 2.3.9 as a Tcl Module"; - @$(INSTALL_DATA) $(TOP_DIR)/library/tcltest/tcltest.tcl "$(SCRIPT_INSTALL_DIR)"/../tcl8/8.5/tcltest-2.3.9.tm; + @echo "Installing package tcltest 2.4.0 as a Tcl Module"; + @$(INSTALL_DATA) $(TOP_DIR)/library/tcltest/tcltest.tcl "$(SCRIPT_INSTALL_DIR)"/../tcl8/8.5/tcltest-2.4.0.tm; @echo "Installing package platform 1.0.14 as a Tcl Module"; @$(INSTALL_DATA) $(TOP_DIR)/library/platform/platform.tcl "$(SCRIPT_INSTALL_DIR)"/../tcl8/8.4/platform-1.0.14.tm; diff --git a/win/Makefile.in b/win/Makefile.in index 9743511..28ffe0a 100644 --- a/win/Makefile.in +++ b/win/Makefile.in @@ -660,8 +660,8 @@ install-libraries: libraries install-tzdata install-msgs done; @echo "Installing package msgcat 1.6.0 as a Tcl Module"; @$(COPY) $(ROOT_DIR)/library/msgcat/msgcat.tcl $(SCRIPT_INSTALL_DIR)/../tcl8/8.5/msgcat-1.6.0.tm; - @echo "Installing package tcltest 2.3.9 as a Tcl Module"; - @$(COPY) $(ROOT_DIR)/library/tcltest/tcltest.tcl $(SCRIPT_INSTALL_DIR)/../tcl8/8.5/tcltest-2.3.9.tm; + @echo "Installing package tcltest 2.4.0 as a Tcl Module"; + @$(COPY) $(ROOT_DIR)/library/tcltest/tcltest.tcl $(SCRIPT_INSTALL_DIR)/../tcl8/8.5/tcltest-2.4.0.tm; @echo "Installing package platform 1.0.14 as a Tcl Module"; @$(COPY) $(ROOT_DIR)/library/platform/platform.tcl $(SCRIPT_INSTALL_DIR)/../tcl8/8.4/platform-1.0.14.tm; @echo "Installing package platform::shell 1.1.4 as a Tcl Module"; -- cgit v0.12 From 94c255833358445b9edae73af1ffbe1cc2c8ab42 Mon Sep 17 00:00:00 2001 From: max Date: Fri, 24 Jun 2016 16:40:30 +0000 Subject: [c30087b04f] Install man pages with permissions 644 instead of 444. --- unix/installManPage | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/unix/installManPage b/unix/installManPage index 4d615bf..1f1cbde 100755 --- a/unix/installManPage +++ b/unix/installManPage @@ -106,7 +106,7 @@ for Target in $Names; do First=$Target sed -e "/man\.macros/r $SrcDir/man.macros" -e "/man\.macros/d" \ $ManPage > $Dir/$First - chmod 444 $Dir/$First + chmod 644 $Dir/$First $Gzip $Dir/$First else ln $SymOrLoc$First$Gz $Dir/$Target$Gz -- cgit v0.12 From 179f28ba4605cb66cd358eb8d6d57b42e7bf5bb9 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Sun, 26 Jun 2016 09:03:08 +0000 Subject: Add TCL_NOINLINE macro, useful for micro-optimizations --- generic/tcl.h | 3 +++ 1 file changed, 3 insertions(+) diff --git a/generic/tcl.h b/generic/tcl.h index 3cd90a9..be40368 100644 --- a/generic/tcl.h +++ b/generic/tcl.h @@ -144,6 +144,7 @@ extern "C" { #if defined(__GNUC__) && (__GNUC__ > 2) # define TCL_FORMAT_PRINTF(a,b) __attribute__ ((__format__ (__printf__, a, b))) # define TCL_NORETURN __attribute__ ((noreturn)) +# define TCL_NOINLINE __attribute__ ((noinline)) # if defined(BUILD_tcl) || defined(BUILD_tk) # define TCL_NORETURN1 __attribute__ ((noreturn)) # else @@ -153,8 +154,10 @@ extern "C" { # define TCL_FORMAT_PRINTF(a,b) # if defined(_MSC_VER) && (_MSC_VER >= 1310) # define TCL_NORETURN _declspec(noreturn) +# define TCL_NOINLINE __declspec(noinline) # else # define TCL_NORETURN /* nothing */ +# define TCL_NOINLINE /* nothing */ # endif # define TCL_NORETURN1 /* nothing */ #endif -- cgit v0.12 From a7534bc7ed966b9b399e86be1c6cc2004baf379c Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 27 Jun 2016 10:22:30 +0000 Subject: Make TCL_MAJOR_VERSION/TCL_MINOR_VERSION/TCL_STUB_MAGIC available to Tcl_InitStubs() arguments. Useful for debugging and detection of stub incompatibilities (e.g. for Tcl9) --- generic/tcl.h | 19 +++++++++---------- generic/tclPkg.c | 2 +- generic/tclStubLib.c | 20 +++++++++----------- 3 files changed, 19 insertions(+), 22 deletions(-) diff --git a/generic/tcl.h b/generic/tcl.h index be40368..6061ea8 100644 --- a/generic/tcl.h +++ b/generic/tcl.h @@ -2377,9 +2377,6 @@ typedef int (Tcl_NRPostProc) (ClientData data[], Tcl_Interp *interp, *---------------------------------------------------------------------------- * The following constant is used to test for older versions of Tcl in the * stubs tables. - * - * Jan Nijtman's plus patch uses 0xFCA1BACF, so we need to pick a different - * value since the stubs tables don't match. */ #define TCL_STUB_MAGIC ((int) 0xFCA3BACF) @@ -2392,17 +2389,19 @@ typedef int (Tcl_NRPostProc) (ClientData data[], Tcl_Interp *interp, */ const char * Tcl_InitStubs(Tcl_Interp *interp, const char *version, - int exact); + int exact, int magic); const char * TclTomMathInitializeStubs(Tcl_Interp *interp, const char *version, int epoch, int revision); -/* - * When not using stubs, make it a macro. - */ - -#ifndef USE_TCL_STUBS +#ifdef USE_TCL_STUBS +#define Tcl_InitStubs(interp, version, exact) \ + (Tcl_InitStubs)(interp, version, \ + (exact)|(TCL_MAJOR_VERSION<<8)|(TCL_MINOR_VERSION<<16), \ + TCL_STUB_MAGIC) +#else #define Tcl_InitStubs(interp, version, exact) \ - Tcl_PkgInitStubsCheck(interp, version, exact) + Tcl_PkgInitStubsCheck(interp, version, \ + (exact)|(TCL_MAJOR_VERSION<<8)|(TCL_MINOR_VERSION<<16)) #endif /* diff --git a/generic/tclPkg.c b/generic/tclPkg.c index f6e8b20..86777a8 100644 --- a/generic/tclPkg.c +++ b/generic/tclPkg.c @@ -1895,7 +1895,7 @@ Tcl_PkgInitStubsCheck( { const char *actualVersion = Tcl_PkgPresent(interp, "Tcl", version, 0); - if (exact && actualVersion) { + if ((exact&1) && actualVersion) { const char *p = version; int count = 0; diff --git a/generic/tclStubLib.c b/generic/tclStubLib.c index 859cbf9..afabdca 100644 --- a/generic/tclStubLib.c +++ b/generic/tclStubLib.c @@ -24,13 +24,10 @@ const TclIntStubs *tclIntStubsPtr = NULL; const TclIntPlatStubs *tclIntPlatStubsPtr = NULL; /* - * Use our own isDigit to avoid linking to libc on windows + * Use our own ISDIGIT to avoid linking to libc on windows */ -static int isDigit(const int c) -{ - return (c >= '0' && c <= '9'); -} +#define ISDIGIT(c) (((unsigned)((c)-'0')) <= 9) /* *---------------------------------------------------------------------- @@ -54,7 +51,8 @@ MODULE_SCOPE const char * Tcl_InitStubs( Tcl_Interp *interp, const char *version, - int exact) + int exact, + int magic) { Interp *iPtr = (Interp *) interp; const char *actualVersion = NULL; @@ -67,8 +65,8 @@ Tcl_InitStubs( * times. [Bug 615304] */ - if (!stubsPtr || (stubsPtr->magic != TCL_STUB_MAGIC)) { - iPtr->result = "interpreter uses an incompatible stubs mechanism"; + if (!stubsPtr || (stubsPtr->magic != (((exact&0xff00) >= 0x900) ? magic : TCL_STUB_MAGIC))) { + iPtr->result = (char *)"interpreter uses an incompatible stubs mechanism"; iPtr->freeProc = TCL_STATIC; return NULL; } @@ -77,12 +75,12 @@ Tcl_InitStubs( if (actualVersion == NULL) { return NULL; } - if (exact) { + if (exact&1) { const char *p = version; int count = 0; while (*p) { - count += !isDigit(*p++); + count += !ISDIGIT(*p++); } if (count == 1) { const char *q = actualVersion; @@ -91,7 +89,7 @@ Tcl_InitStubs( while (*p && (*p == *q)) { p++; q++; } - if (*p || isDigit(*q)) { + if (*p || ISDIGIT(*q)) { /* Construct error message */ stubsPtr->tcl_PkgRequireEx(interp, "Tcl", version, 1, NULL); return NULL; -- cgit v0.12 From 039129beee818bb0aa8a756e09cb8a1b3ac68f49 Mon Sep 17 00:00:00 2001 From: dkf Date: Mon, 27 Jun 2016 13:44:40 +0000 Subject: [c3d956be5b] Clearer text about positioning of optional arguments. --- doc/proc.n | 28 +++++++++++++++++++++++----- 1 file changed, 23 insertions(+), 5 deletions(-) diff --git a/doc/proc.n b/doc/proc.n index 129f4df..fdccaca 100644 --- a/doc/proc.n +++ b/doc/proc.n @@ -34,8 +34,9 @@ one or two fields. If there is only a single field in the specifier then it is the name of the argument; if there are two fields, then the first is the argument name and the second is its default value. Arguments with default values that are followed by non-defaulted -arguments become required arguments. In 8.6 this will be considered an -error. +arguments become required arguments; enough actual arguments must be +supplied to allow all arguments up to and including the last required +formal argument. .PP When \fIname\fR is invoked a local variable will be created for each of the formal arguments to the procedure; its @@ -48,11 +49,14 @@ actual arguments for all the formal arguments that do not have defaults, and there must not be any extra actual arguments. Arguments with default values that are followed by non-defaulted -arguments become required arguments (in 8.6 it will be considered an -error). +arguments become de-facto required arguments, though this may change +in a future version of Tcl; portable code should ensure that all +optional arguments come after all required arguments. +.PP There is one special case to permit procedures with variable numbers of arguments. If the last formal argument has the name -\fBargs\fR, then a call to the procedure may contain more actual arguments +.QW \fBargs\fR , +then a call to the procedure may contain more actual arguments than the procedure has formal arguments. In this case, all of the actual arguments starting at the one that would be assigned to \fBargs\fR are combined into a list (as if the \fBlist\fR command had been used); this combined value @@ -80,6 +84,20 @@ If an error occurs while executing the procedure body, then the procedure-as-a-whole will return that same error. .SH EXAMPLES .PP +This is a procedure that takes two arguments and prints both their sum +and their product. It also returns the string +.QW OK +to the caller as an explicit result. +.PP +.CS +\fBproc\fR printSumProduct {x y} { + set sum [expr {$x + $y}] + set prod [expr {$x * $y}] + puts "sum is $sum, product is $prod" + return "OK" +} +.CE +.PP This is a procedure that accepts arbitrarily many arguments and prints them out, one by one. .PP -- cgit v0.12 From c26fe8498a889a3a9e71f9502848e4db08dcb072 Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 27 Jun 2016 15:16:04 +0000 Subject: Streamline comment parsing. --- generic/tclParse.c | 67 +++++++++++++++++++++++++++--------------------------- 1 file changed, 33 insertions(+), 34 deletions(-) diff --git a/generic/tclParse.c b/generic/tclParse.c index 95abc45..4974c87 100644 --- a/generic/tclParse.c +++ b/generic/tclParse.c @@ -167,6 +167,8 @@ static int ParseTokens(const char *src, int numBytes, int mask, int flags, Tcl_Parse *parsePtr); static int ParseWhiteSpace(const char *src, int numBytes, int *incompletePtr, char *typePtr); +static int ParseAllWhiteSpace(const char *src, int numBytes, + int *incompletePtr); /* *---------------------------------------------------------------------- @@ -733,23 +735,32 @@ ParseWhiteSpace( *---------------------------------------------------------------------- */ -int -TclParseAllWhiteSpace( +static int +ParseAllWhiteSpace( const char *src, /* First character to parse. */ - int numBytes) /* Max number of byes to scan */ + int numBytes, /* Max number of byes to scan */ + int *incompletePtr) /* Set true if parse is incomplete. */ { - int dummy; char type; const char *p = src; do { - int scanned = ParseWhiteSpace(p, numBytes, &dummy, &type); + int scanned = ParseWhiteSpace(p, numBytes, incompletePtr, &type); p += scanned; numBytes -= scanned; } while (numBytes && (*p == '\n') && (p++, --numBytes)); return (p-src); } + +int +TclParseAllWhiteSpace( + const char *src, /* First character to parse. */ + int numBytes) /* Max number of byes to scan */ +{ + int dummy; + return ParseAllWhiteSpace(src, numBytes, &dummy); +} /* *---------------------------------------------------------------------- @@ -1021,17 +1032,12 @@ ParseComment( * command. */ { register const char *p = src; + int incomplete = parsePtr->incomplete; while (numBytes) { - char type; - int scanned; - - do { - scanned = ParseWhiteSpace(p, numBytes, - &parsePtr->incomplete, &type); - p += scanned; - numBytes -= scanned; - } while (numBytes && (*p == '\n') && (p++,numBytes--)); + int scanned = ParseAllWhiteSpace(p, numBytes, &incomplete); + p += scanned; + numBytes -= scanned; if ((numBytes == 0) || (*p != '#')) { break; @@ -1039,36 +1045,29 @@ ParseComment( if (parsePtr->commentStart == NULL) { parsePtr->commentStart = p; } - + + p++; + numBytes--; while (numBytes) { + if (*p == '\n') { + p++; + numBytes--; + break; + } if (*p == '\\') { - scanned = ParseWhiteSpace(p, numBytes, &parsePtr->incomplete, - &type); - if (scanned) { - p += scanned; - numBytes -= scanned; - } else { - /* - * General backslash substitution in comments isn't part - * of the formal spec, but test parse-15.47 and history - * indicate that it has been the de facto rule. Don't - * change it now. - */ - - TclParseBackslash(p, numBytes, &scanned, NULL); - p += scanned; - numBytes -= scanned; - } - } else { p++; numBytes--; - if (p[-1] == '\n') { + if (numBytes == 0) { break; } } + incomplete = (*p == '\n'); + p++; + numBytes--; } parsePtr->commentSize = p - parsePtr->commentStart; } + parsePtr->incomplete = incomplete; return (p - src); } -- cgit v0.12 From 40d07325fd099e39c32596c89888f080b1a7a307 Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 27 Jun 2016 19:01:34 +0000 Subject: Stop parsing white space where there cannot be any. --- generic/tclParse.c | 69 ++++++++++++++++++++++-------------------------------- 1 file changed, 28 insertions(+), 41 deletions(-) diff --git a/generic/tclParse.c b/generic/tclParse.c index 4974c87..3372318 100644 --- a/generic/tclParse.c +++ b/generic/tclParse.c @@ -294,12 +294,18 @@ Tcl_ParseCommand( } } + /* Jump to where we check for command termination */ + + parsePtr->commandStart = src; + type = CHAR_TYPE(*src); + scanned = 1; + goto start; + /* * The following loop parses the words of the command, one word in each * iteration through the loop. */ - parsePtr->commandStart = src; while (1) { int expandWord = 0; @@ -312,23 +318,6 @@ Tcl_ParseCommand( tokenPtr = &parsePtr->tokenPtr[wordIndex]; tokenPtr->type = TCL_TOKEN_WORD; - /* - * Skip white space before the word. Also skip a backslash-newline - * sequence: it should be treated just like white space. - */ - - scanned = ParseWhiteSpace(src,numBytes, &parsePtr->incomplete, &type); - src += scanned; - numBytes -= scanned; - if (numBytes == 0) { - parsePtr->term = src; - break; - } - if ((type & terminators) != 0) { - parsePtr->term = src; - src++; - break; - } tokenPtr->start = src; parsePtr->numTokens++; parsePtr->numWords++; @@ -555,12 +544,10 @@ Tcl_ParseCommand( */ scanned = ParseWhiteSpace(src,numBytes, &parsePtr->incomplete, &type); - if (scanned) { - src += scanned; - numBytes -= scanned; - continue; - } + src += scanned; + numBytes -= scanned; + start: if (numBytes == 0) { parsePtr->term = src; break; @@ -570,30 +557,30 @@ Tcl_ParseCommand( src++; break; } - if (src[-1] == '"') { - if (interp != NULL) { - Tcl_SetObjResult(interp, Tcl_NewStringObj( - "extra characters after close-quote", -1)); - } - parsePtr->errorType = TCL_PARSE_QUOTE_EXTRA; - } else { - if (interp != NULL) { - Tcl_SetObjResult(interp, Tcl_NewStringObj( - "extra characters after close-brace", -1)); + if (scanned == 0) { + if (src[-1] == '"') { + if (interp != NULL) { + Tcl_SetObjResult(interp, Tcl_NewStringObj( + "extra characters after close-quote", -1)); + } + parsePtr->errorType = TCL_PARSE_QUOTE_EXTRA; + } else { + if (interp != NULL) { + Tcl_SetObjResult(interp, Tcl_NewStringObj( + "extra characters after close-brace", -1)); + } + parsePtr->errorType = TCL_PARSE_BRACE_EXTRA; } - parsePtr->errorType = TCL_PARSE_BRACE_EXTRA; + parsePtr->term = src; + error: + Tcl_FreeParse(parsePtr); + parsePtr->commandSize = parsePtr->end - parsePtr->commandStart; + return TCL_ERROR; } - parsePtr->term = src; - goto error; } parsePtr->commandSize = src - parsePtr->commandStart; return TCL_OK; - - error: - Tcl_FreeParse(parsePtr); - parsePtr->commandSize = parsePtr->end - parsePtr->commandStart; - return TCL_ERROR; } /* -- cgit v0.12 From 00357e27055dd3b3dcc2b853833731d6db76c137 Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 27 Jun 2016 20:29:46 +0000 Subject: Re-order loop for fewer gotos. --- generic/tclParse.c | 82 ++++++++++++++++++++++++------------------------------ 1 file changed, 36 insertions(+), 46 deletions(-) diff --git a/generic/tclParse.c b/generic/tclParse.c index 3372318..568024b 100644 --- a/generic/tclParse.c +++ b/generic/tclParse.c @@ -294,21 +294,49 @@ Tcl_ParseCommand( } } - /* Jump to where we check for command termination */ - - parsePtr->commandStart = src; - type = CHAR_TYPE(*src); - scanned = 1; - goto start; - /* * The following loop parses the words of the command, one word in each * iteration through the loop. */ + parsePtr->commandStart = src; + type = CHAR_TYPE(*src); + scanned = 1; /* Can't have missing whitepsace before first word. */ while (1) { int expandWord = 0; + /* Are we at command termination? */ + + if ((numBytes == 0) || (type & terminators) != 0) { + parsePtr->term = src; + parsePtr->commandSize = src + (numBytes != 0) + - parsePtr->commandStart; + return TCL_OK; + } + + /* Are we missing white space after previous word? */ + + if (scanned == 0) { + if (src[-1] == '"') { + if (interp != NULL) { + Tcl_SetObjResult(interp, Tcl_NewStringObj( + "extra characters after close-quote", -1)); + } + parsePtr->errorType = TCL_PARSE_QUOTE_EXTRA; + } else { + if (interp != NULL) { + Tcl_SetObjResult(interp, Tcl_NewStringObj( + "extra characters after close-brace", -1)); + } + parsePtr->errorType = TCL_PARSE_BRACE_EXTRA; + } + parsePtr->term = src; + error: + Tcl_FreeParse(parsePtr); + parsePtr->commandSize = parsePtr->end - parsePtr->commandStart; + return TCL_ERROR; + } + /* * Create the token for the word. */ @@ -537,50 +565,12 @@ Tcl_ParseCommand( tokenPtr->type = TCL_TOKEN_SIMPLE_WORD; } - /* - * Do two additional checks: (a) make sure we're really at the end of - * a word (there might have been garbage left after a quoted or braced - * word), and (b) check for the end of the command. - */ + /* Parse the whitespace between words. */ scanned = ParseWhiteSpace(src,numBytes, &parsePtr->incomplete, &type); src += scanned; numBytes -= scanned; - - start: - if (numBytes == 0) { - parsePtr->term = src; - break; - } - if ((type & terminators) != 0) { - parsePtr->term = src; - src++; - break; - } - if (scanned == 0) { - if (src[-1] == '"') { - if (interp != NULL) { - Tcl_SetObjResult(interp, Tcl_NewStringObj( - "extra characters after close-quote", -1)); - } - parsePtr->errorType = TCL_PARSE_QUOTE_EXTRA; - } else { - if (interp != NULL) { - Tcl_SetObjResult(interp, Tcl_NewStringObj( - "extra characters after close-brace", -1)); - } - parsePtr->errorType = TCL_PARSE_BRACE_EXTRA; - } - parsePtr->term = src; - error: - Tcl_FreeParse(parsePtr); - parsePtr->commandSize = parsePtr->end - parsePtr->commandStart; - return TCL_ERROR; - } } - - parsePtr->commandSize = src - parsePtr->commandStart; - return TCL_OK; } /* -- cgit v0.12 From b2522c9c24b283a616ac38c4c987827c4fa86167 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 29 Jun 2016 11:39:00 +0000 Subject: Tcl_SetVar -> Tcl_SetVar2 and comparable replacements, eliminating functions which are deprecated. --- .fossil-settings/ignore-glob | 2 ++ doc/AddErrInfo.3 | 2 +- generic/tclBasic.c | 8 ++++---- generic/tclCmdIL.c | 4 ++-- generic/tclIOSock.c | 2 +- generic/tclInterp.c | 12 ++++++------ generic/tclMain.c | 6 ++++-- generic/tclOO.c | 4 ++-- generic/tclParse.c | 2 +- generic/tclTest.c | 24 ++++++++++++------------ generic/tclThreadTest.c | 6 +++--- tests/event.test | 6 +++--- unix/dltest/pkgua.c | 6 +++--- unix/tclUnixInit.c | 24 ++++++++++++------------ unix/tclUnixSock.c | 2 +- win/tclWinSock.c | 2 +- 16 files changed, 58 insertions(+), 54 deletions(-) diff --git a/.fossil-settings/ignore-glob b/.fossil-settings/ignore-glob index 9ed86b1..51ca1e2 100644 --- a/.fossil-settings/ignore-glob +++ b/.fossil-settings/ignore-glob @@ -17,8 +17,10 @@ */tclsh* */tcltest* */versions.vc +unix/autoMkindex.tcl unix/dltest.marker unix/tcl.pc +unix/tclIndex unix/pkgs/* win/pkgs/* win/tcl.hpj diff --git a/doc/AddErrInfo.3 b/doc/AddErrInfo.3 index caba125..0b59349 100644 --- a/doc/AddErrInfo.3 +++ b/doc/AddErrInfo.3 @@ -119,7 +119,7 @@ retrieve the stack trace when script evaluation returns \fBTCL_ERROR\fR, like so: .PP .CS -int code = Tcl_Eval(interp, script); +int code = Tcl_EvalEx(interp, script, -1, 0); if (code == TCL_ERROR) { Tcl_Obj *options = \fBTcl_GetReturnOptions\fR(interp, code); Tcl_Obj *key = Tcl_NewStringObj("-errorinfo", -1); diff --git a/generic/tclBasic.c b/generic/tclBasic.c index 25f7e78..e3ac714 100644 --- a/generic/tclBasic.c +++ b/generic/tclBasic.c @@ -941,8 +941,8 @@ Tcl_CreateInterp(void) * Set up other variables such as tcl_version and tcl_library */ - Tcl_SetVar(interp, "tcl_patchLevel", TCL_PATCH_LEVEL, TCL_GLOBAL_ONLY); - Tcl_SetVar(interp, "tcl_version", TCL_VERSION, TCL_GLOBAL_ONLY); + Tcl_SetVar2(interp, "tcl_patchLevel", NULL, TCL_PATCH_LEVEL, TCL_GLOBAL_ONLY); + Tcl_SetVar2(interp, "tcl_version", NULL, TCL_VERSION, TCL_GLOBAL_ONLY); Tcl_TraceVar2(interp, "tcl_precision", NULL, TCL_GLOBAL_ONLY|TCL_TRACE_READS|TCL_TRACE_WRITES|TCL_TRACE_UNSETS, TclPrecTraceProc, NULL); @@ -6848,7 +6848,7 @@ Tcl_VarEvalVA( Tcl_DStringAppend(&buf, string, -1); } - result = Tcl_Eval(interp, Tcl_DStringValue(&buf)); + result = Tcl_EvalEx(interp, Tcl_DStringValue(&buf), -1, 0); Tcl_DStringFree(&buf); return result; } @@ -6918,7 +6918,7 @@ Tcl_GlobalEval( savedVarFramePtr = iPtr->varFramePtr; iPtr->varFramePtr = iPtr->rootFramePtr; - result = Tcl_Eval(interp, command); + result = Tcl_EvalEx(interp, command, -1, 0); iPtr->varFramePtr = savedVarFramePtr; return result; } diff --git a/generic/tclCmdIL.c b/generic/tclCmdIL.c index c93e593..4cb81ea 100644 --- a/generic/tclCmdIL.c +++ b/generic/tclCmdIL.c @@ -1678,7 +1678,7 @@ InfoLibraryCmd( return TCL_ERROR; } - libDirName = Tcl_GetVar(interp, "tcl_library", TCL_GLOBAL_ONLY); + libDirName = Tcl_GetVar2(interp, "tcl_library", NULL, TCL_GLOBAL_ONLY); if (libDirName != NULL) { Tcl_SetObjResult(interp, Tcl_NewStringObj(libDirName, -1)); return TCL_OK; @@ -1804,7 +1804,7 @@ InfoPatchLevelCmd( return TCL_ERROR; } - patchlevel = Tcl_GetVar(interp, "tcl_patchLevel", + patchlevel = Tcl_GetVar2(interp, "tcl_patchLevel", NULL, (TCL_GLOBAL_ONLY | TCL_LEAVE_ERR_MSG)); if (patchlevel != NULL) { Tcl_SetObjResult(interp, Tcl_NewStringObj(patchlevel, -1)); diff --git a/generic/tclIOSock.c b/generic/tclIOSock.c index c5b7d28..f61073b 100644 --- a/generic/tclIOSock.c +++ b/generic/tclIOSock.c @@ -197,7 +197,7 @@ TclCreateSocketAddress( */ if (interp != NULL) { - family = Tcl_GetVar(interp, "::tcl::unsupported::socketAF", 0); + family = Tcl_GetVar2(interp, "::tcl::unsupported::socketAF", NULL, 0); if (family != NULL) { if (strcmp(family, "inet") == 0) { hints.ai_family = AF_INET; diff --git a/generic/tclInterp.c b/generic/tclInterp.c index 66ce1e0..c281d6d 100644 --- a/generic/tclInterp.c +++ b/generic/tclInterp.c @@ -336,7 +336,7 @@ Tcl_Init( Tcl_Interp *interp) /* Interpreter to initialize. */ { if (tclPreInitScript != NULL) { - if (Tcl_Eval(interp, tclPreInitScript) == TCL_ERROR) { + if (Tcl_EvalEx(interp, tclPreInitScript, -1, 0) == TCL_ERROR) { return TCL_ERROR; } } @@ -382,7 +382,7 @@ Tcl_Init( * alternate tclInit command before calling Tcl_Init(). */ - return Tcl_Eval(interp, + return Tcl_EvalEx(interp, "if {[namespace which -command tclInit] eq \"\"} {\n" " proc tclInit {} {\n" " global tcl_libPath tcl_library env tclDefaultLibrary\n" @@ -444,7 +444,7 @@ Tcl_Init( " error $msg\n" " }\n" "}\n" -"tclInit"); +"tclInit", -1, 0); } /* @@ -2368,7 +2368,7 @@ SlaveCreate( SlaveObjCmd, NRSlaveCmd, slaveInterp, SlaveObjCmdDeleteProc); Tcl_InitHashTable(&slavePtr->aliasTable, TCL_STRING_KEYS); Tcl_SetHashValue(hPtr, slavePtr); - Tcl_SetVar(slaveInterp, "tcl_interactive", "0", TCL_GLOBAL_ONLY); + Tcl_SetVar2(slaveInterp, "tcl_interactive", NULL, "0", TCL_GLOBAL_ONLY); /* * Inherit the recursion limit. @@ -3195,8 +3195,8 @@ Tcl_MakeSafe( * Assume these functions all work. [Bug 2895741] */ - (void) Tcl_Eval(interp, - "namespace eval ::tcl {namespace eval mathfunc {}}"); + (void) Tcl_EvalEx(interp, + "namespace eval ::tcl {namespace eval mathfunc {}}", -1, 0); (void) Tcl_CreateAlias(interp, "::tcl::mathfunc::min", master, "::tcl::mathfunc::min", 0, NULL); (void) Tcl_CreateAlias(interp, "::tcl::mathfunc::max", master, diff --git a/generic/tclMain.c b/generic/tclMain.c index 927de7e..de7e29e 100644 --- a/generic/tclMain.c +++ b/generic/tclMain.c @@ -246,7 +246,7 @@ Tcl_SourceRCFile( const char *fileName; Tcl_Channel chan; - fileName = Tcl_GetVar(interp, "tcl_rcFileName", TCL_GLOBAL_ONLY); + fileName = Tcl_GetVar2(interp, "tcl_rcFileName", NULL, TCL_GLOBAL_ONLY); if (fileName != NULL) { Tcl_Channel c; const char *fullName; @@ -266,14 +266,16 @@ Tcl_SourceRCFile( c = Tcl_OpenFileChannel(NULL, fullName, "r", 0); if (c != NULL) { + Tcl_Obj *fullNameObj = Tcl_NewStringObj(fullName, -1); Tcl_Close(NULL, c); - if (Tcl_EvalFile(interp, fullName) != TCL_OK) { + if (Tcl_FSEvalFile(interp, fullNameObj) != TCL_OK) { chan = Tcl_GetStdChannel(TCL_STDERR); if (chan) { Tcl_WriteObj(chan, Tcl_GetObjResult(interp)); Tcl_WriteChars(chan, "\n", 1); } } + Tcl_DecrRefCount(fullNameObj); } } Tcl_DStringFree(&temp); diff --git a/generic/tclOO.c b/generic/tclOO.c index 0454bfe..9dae778 100644 --- a/generic/tclOO.c +++ b/generic/tclOO.c @@ -269,7 +269,7 @@ TclOOInit( * to be fully provided. */ - if (Tcl_Eval(interp, initScript) != TCL_OK) { + if (Tcl_EvalEx(interp, initScript, -1, 0) != TCL_OK) { return TCL_ERROR; } @@ -463,7 +463,7 @@ InitFoundation( if (TclOODefineSlots(fPtr) != TCL_OK) { return TCL_ERROR; } - return Tcl_Eval(interp, slotScript); + return Tcl_EvalEx(interp, slotScript, -1, 0); } /* diff --git a/generic/tclParse.c b/generic/tclParse.c index 568024b..5577e87 100644 --- a/generic/tclParse.c +++ b/generic/tclParse.c @@ -1022,7 +1022,7 @@ ParseComment( if (parsePtr->commentStart == NULL) { parsePtr->commentStart = p; } - + p++; numBytes--; while (numBytes) { diff --git a/generic/tclTest.c b/generic/tclTest.c index 7c30d36..8290582 100644 --- a/generic/tclTest.c +++ b/generic/tclTest.c @@ -1294,7 +1294,7 @@ TestcmdtraceCmd( cmdTrace = Tcl_CreateObjTrace(interp, 50000, TCL_ALLOW_INLINE_COMPILATION, ObjTraceProc, (ClientData) &deleteCalled, ObjTraceDeleteProc); - result = Tcl_Eval(interp, argv[2]); + result = Tcl_EvalEx(interp, argv[2], -1, 0); Tcl_DeleteTrace(interp, cmdTrace); if (!deleteCalled) { Tcl_SetResult(interp, "Delete wasn't called", TCL_STATIC); @@ -1308,7 +1308,7 @@ TestcmdtraceCmd( Tcl_DStringInit(&buffer); t1 = Tcl_CreateTrace(interp, 1, CmdTraceProc, &buffer); t2 = Tcl_CreateTrace(interp, 50000, CmdTraceProc, &buffer); - result = Tcl_Eval(interp, argv[2]); + result = Tcl_EvalEx(interp, argv[2], -1, 0); if (result == TCL_OK) { Tcl_ResetResult(interp); Tcl_AppendResult(interp, Tcl_DStringValue(&buffer), NULL); @@ -1637,7 +1637,7 @@ DelDeleteProc( { DelCmd *dPtr = clientData; - Tcl_Eval(dPtr->interp, dPtr->deleteCmd); + Tcl_EvalEx(dPtr->interp, dPtr->deleteCmd, -1, 0); Tcl_ResetResult(dPtr->interp); ckfree(dPtr->deleteCmd); ckfree(dPtr); @@ -3972,7 +3972,7 @@ TestregexpObjCmd( varName = Tcl_GetString(objv[2]); TclRegExpRangeUniChar(regExpr, -1, &start, &end); sprintf(resinfo, "%d %d", start, end-1); - value = Tcl_SetVar(interp, varName, resinfo, 0); + value = Tcl_SetVar2(interp, varName, NULL, resinfo, 0); if (value == NULL) { Tcl_AppendResult(interp, "couldn't set variable \"", varName, "\"", NULL); @@ -3986,7 +3986,7 @@ TestregexpObjCmd( Tcl_RegExpGetInfo(regExpr, &info); varName = Tcl_GetString(objv[2]); sprintf(resinfo, "%ld", info.extendStart); - value = Tcl_SetVar(interp, varName, resinfo, 0); + value = Tcl_SetVar2(interp, varName, NULL, resinfo, 0); if (value == NULL) { Tcl_AppendResult(interp, "couldn't set variable \"", varName, "\"", NULL); @@ -4329,7 +4329,7 @@ StaticInitProc( Tcl_Interp *interp) /* Interpreter in which package is supposedly * being loaded. */ { - Tcl_SetVar(interp, "x", "loaded", TCL_GLOBAL_ONLY); + Tcl_SetVar2(interp, "x", NULL, "loaded", TCL_GLOBAL_ONLY); return TCL_OK; } @@ -4413,7 +4413,7 @@ TestupvarCmd( } else if (strcmp(argv[4], "namespace") == 0) { flags = TCL_NAMESPACE_ONLY; } - return Tcl_UpVar(interp, argv[1], argv[2], argv[3], flags); + return Tcl_UpVar2(interp, argv[1], argv[2], NULL, argv[3], flags); } else { if (strcmp(argv[5], "global") == 0) { flags = TCL_GLOBAL_ONLY; @@ -4907,10 +4907,10 @@ GetTimesObjCmd( timePer/100000); /* Tcl_SetVar 100000 times */ - fprintf(stderr, "Tcl_SetVar of \"12345\" 100000 times\n"); + fprintf(stderr, "Tcl_SetVar2 of \"12345\" 100000 times\n"); Tcl_GetTime(&start); for (i = 0; i < 100000; i++) { - s = Tcl_SetVar(interp, "a", "12345", TCL_LEAVE_ERR_MSG); + s = Tcl_SetVar2(interp, "a", NULL, "12345", TCL_LEAVE_ERR_MSG); if (s == NULL) { return TCL_ERROR; } @@ -4924,7 +4924,7 @@ GetTimesObjCmd( fprintf(stderr, "Tcl_GetVar of a==\"12345\" 100000 times\n"); Tcl_GetTime(&start); for (i = 0; i < 100000; i++) { - s = Tcl_GetVar(interp, "a", TCL_LEAVE_ERR_MSG); + s = Tcl_GetVar2(interp, "a", NULL, TCL_LEAVE_ERR_MSG); if (s == NULL) { return TCL_ERROR; } @@ -5194,7 +5194,7 @@ TestsaveresultCmd( if (((enum options) index) == RESULT_OBJECT) { result = Tcl_EvalObjEx(interp, objv[2], 0); } else { - result = Tcl_Eval(interp, Tcl_GetString(objv[2])); + result = Tcl_EvalEx(interp, Tcl_GetString(objv[2]), -1, 0); } if (discard) { @@ -6297,7 +6297,7 @@ TestReport( savedResult = Tcl_GetObjResult(interp); Tcl_IncrRefCount(savedResult); Tcl_SetObjResult(interp, Tcl_NewObj()); - Tcl_Eval(interp, Tcl_DStringValue(&ds)); + Tcl_EvalEx(interp, Tcl_DStringValue(&ds), -1, 0); Tcl_DStringFree(&ds); Tcl_ResetResult(interp); Tcl_SetObjResult(interp, savedResult); diff --git a/generic/tclThreadTest.c b/generic/tclThreadTest.c index 9c66313..1a05f80 100644 --- a/generic/tclThreadTest.c +++ b/generic/tclThreadTest.c @@ -657,7 +657,7 @@ ThreadErrorProc( sprintf(buf, "%" TCL_LL_MODIFIER "d", (Tcl_WideInt)(size_t)Tcl_GetCurrentThread()); - errorInfo = Tcl_GetVar(interp, "errorInfo", TCL_GLOBAL_ONLY); + errorInfo = Tcl_GetVar2(interp, "errorInfo", NULL, TCL_GLOBAL_ONLY); if (errorProcString == NULL) { errChannel = Tcl_GetStdChannel(TCL_STDERR); Tcl_WriteChars(errChannel, "Error from thread ", -1); @@ -1032,8 +1032,8 @@ ThreadEventProc( code = Tcl_EvalEx(interp, threadEventPtr->script,-1,TCL_EVAL_GLOBAL); Tcl_DeleteThreadExitHandler(ThreadFreeProc, threadEventPtr->script); if (code != TCL_OK) { - errorCode = Tcl_GetVar(interp, "errorCode", TCL_GLOBAL_ONLY); - errorInfo = Tcl_GetVar(interp, "errorInfo", TCL_GLOBAL_ONLY); + errorCode = Tcl_GetVar2(interp, "errorCode", NULL, TCL_GLOBAL_ONLY); + errorInfo = Tcl_GetVar2(interp, "errorInfo", NULL, TCL_GLOBAL_ONLY); } else { errorCode = errorInfo = NULL; } diff --git a/tests/event.test b/tests/event.test index 207c799..ef0947f 100644 --- a/tests/event.test +++ b/tests/event.test @@ -595,16 +595,16 @@ test event-11.7 {Bug 16828b3744} { test event-11.8 {Bug 16828b3744} -setup { oo::class create A { variable continue - + method start {} { after idle [self] destroy - + set continue 0 vwait [namespace current]::continue } destructor { set continue 1 - } + } } } -body { [A new] start diff --git a/unix/dltest/pkgua.c b/unix/dltest/pkgua.c index 417bedb..5de0101 100644 --- a/unix/dltest/pkgua.c +++ b/unix/dltest/pkgua.c @@ -224,7 +224,7 @@ Pkgua_Init( return code; } - Tcl_SetVar(interp, "::pkgua_loaded", ".", TCL_APPEND_VALUE); + Tcl_SetVar2(interp, "::pkgua_loaded", NULL, ".", TCL_APPEND_VALUE); cmdTokens = PkguaInterpToTokens(interp); cmdTokens[cmdIndex++] = @@ -299,7 +299,7 @@ Pkgua_Unload( PkguaDeleteTokens(interp); - Tcl_SetVar(interp, "::pkgua_detached", ".", TCL_APPEND_VALUE); + Tcl_SetVar2(interp, "::pkgua_detached", NULL, ".", TCL_APPEND_VALUE); if (flags == TCL_UNLOAD_DETACH_FROM_PROCESS) { /* @@ -309,7 +309,7 @@ Pkgua_Unload( */ PkguaFreeTokensHashTable(); - Tcl_SetVar(interp, "::pkgua_unloaded", ".", TCL_APPEND_VALUE); + Tcl_SetVar2(interp, "::pkgua_unloaded", NULL, ".", TCL_APPEND_VALUE); } return TCL_OK; } diff --git a/unix/tclUnixInit.c b/unix/tclUnixInit.c index 5fc0035..71b20e3 100644 --- a/unix/tclUnixInit.c +++ b/unix/tclUnixInit.c @@ -780,7 +780,7 @@ TclpSetVariables( if (!Tcl_CreateNamespace(interp, "::tcl::mac", NULL, NULL)) { Tcl_ResetResult(interp); } - Tcl_SetVar(interp, "::tcl::mac::locale", loc, TCL_GLOBAL_ONLY); + Tcl_SetVar2(interp, "::tcl::mac::locale", NULL, loc, TCL_GLOBAL_ONLY); } } CFRelease(localeRef); @@ -791,9 +791,9 @@ TclpSetVariables( const char *str; CFBundleRef bundleRef; - Tcl_SetVar(interp, "tclDefaultLibrary", tclLibPath, TCL_GLOBAL_ONLY); - Tcl_SetVar(interp, "tcl_pkgPath", tclLibPath, TCL_GLOBAL_ONLY); - Tcl_SetVar(interp, "tcl_pkgPath", " ", + Tcl_SetVar2(interp, "tclDefaultLibrary", NULL, tclLibPath, TCL_GLOBAL_ONLY); + Tcl_SetVar2(interp, "tcl_pkgPath", NULL, tclLibPath, TCL_GLOBAL_ONLY); + Tcl_SetVar2(interp, "tcl_pkgPath", NULL, " ", TCL_GLOBAL_ONLY | TCL_APPEND_VALUE); str = TclGetEnv("DYLD_FRAMEWORK_PATH", &ds); @@ -809,9 +809,9 @@ TclpSetVariables( *p = ' '; } } while (*p++); - Tcl_SetVar(interp, "tcl_pkgPath", Tcl_DStringValue(&ds), + Tcl_SetVar2(interp, "tcl_pkgPath", NULL, Tcl_DStringValue(&ds), TCL_GLOBAL_ONLY | TCL_APPEND_VALUE); - Tcl_SetVar(interp, "tcl_pkgPath", " ", + Tcl_SetVar2(interp, "tcl_pkgPath", NULL, " ", TCL_GLOBAL_ONLY | TCL_APPEND_VALUE); Tcl_DStringFree(&ds); } @@ -826,9 +826,9 @@ TclpSetVariables( (unsigned char*) tclLibPath, MAXPATHLEN) && ! TclOSstat(tclLibPath, &statBuf) && S_ISDIR(statBuf.st_mode)) { - Tcl_SetVar(interp, "tcl_pkgPath", tclLibPath, + Tcl_SetVar2(interp, "tcl_pkgPath", NULL, tclLibPath, TCL_GLOBAL_ONLY | TCL_APPEND_VALUE); - Tcl_SetVar(interp, "tcl_pkgPath", " ", + Tcl_SetVar2(interp, "tcl_pkgPath", NULL, " ", TCL_GLOBAL_ONLY | TCL_APPEND_VALUE); } CFRelease(frameworksURL); @@ -839,20 +839,20 @@ TclpSetVariables( (unsigned char*) tclLibPath, MAXPATHLEN) && ! TclOSstat(tclLibPath, &statBuf) && S_ISDIR(statBuf.st_mode)) { - Tcl_SetVar(interp, "tcl_pkgPath", tclLibPath, + Tcl_SetVar2(interp, "tcl_pkgPath", NULL, tclLibPath, TCL_GLOBAL_ONLY | TCL_APPEND_VALUE); - Tcl_SetVar(interp, "tcl_pkgPath", " ", + Tcl_SetVar2(interp, "tcl_pkgPath", NULL, " ", TCL_GLOBAL_ONLY | TCL_APPEND_VALUE); } CFRelease(frameworksURL); } } - Tcl_SetVar(interp, "tcl_pkgPath", pkgPath, + Tcl_SetVar2(interp, "tcl_pkgPath", NULL, pkgPath, TCL_GLOBAL_ONLY | TCL_APPEND_VALUE); } else #endif /* HAVE_COREFOUNDATION */ { - Tcl_SetVar(interp, "tcl_pkgPath", pkgPath, TCL_GLOBAL_ONLY); + Tcl_SetVar2(interp, "tcl_pkgPath", NULL, pkgPath, TCL_GLOBAL_ONLY); } #ifdef DJGPP diff --git a/unix/tclUnixSock.c b/unix/tclUnixSock.c index 9c5cd4b..8167077 100644 --- a/unix/tclUnixSock.c +++ b/unix/tclUnixSock.c @@ -735,7 +735,7 @@ TcpHostPortList( #endif /* NEED_FAKE_RFC2553 */ } /* Check if reverse DNS has been switched off globally */ - if (interp != NULL && Tcl_GetVar(interp, SUPPRESS_RDNS_VAR, 0) != NULL) { + if (interp != NULL && Tcl_GetVar2(interp, SUPPRESS_RDNS_VAR, NULL, 0) != NULL) { flags |= NI_NUMERICHOST; } if (getnameinfo(&addr.sa, salen, host, sizeof(host), NULL, 0, flags) == 0) { diff --git a/win/tclWinSock.c b/win/tclWinSock.c index cc77afe..4690708 100644 --- a/win/tclWinSock.c +++ b/win/tclWinSock.c @@ -1319,7 +1319,7 @@ TcpGetOptionProc( return TCL_OK; } - if (interp != NULL && Tcl_GetVar(interp, SUPPRESS_RDNS_VAR, 0) != NULL) { + if (interp != NULL && Tcl_GetVar2(interp, SUPPRESS_RDNS_VAR, NULL, 0) != NULL) { reverseDNS = NI_NUMERICHOST; } -- cgit v0.12 From bbccbfba7b9080ce0a137da9100b3ee550cdea41 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 29 Jun 2016 15:28:36 +0000 Subject: Eliminate internal use of TCL_STORAGE_CLASS, as it will be gone in 9.0 anyway --- generic/tclTest.c | 12 ++---------- macosx/README | 6 +++--- unix/dltest/pkga.c | 10 +--------- unix/dltest/pkgc.c | 12 ++---------- unix/dltest/pkgd.c | 12 ++---------- unix/dltest/pkge.c | 11 +---------- unix/dltest/pkgua.c | 16 ++++------------ win/tclWinDde.c | 27 +++++++-------------------- 8 files changed, 22 insertions(+), 84 deletions(-) diff --git a/generic/tclTest.c b/generic/tclTest.c index 8290582..33eaadd 100644 --- a/generic/tclTest.c +++ b/generic/tclTest.c @@ -42,16 +42,8 @@ * Declare external functions used in Windows tests. */ -/* - * TCL_STORAGE_CLASS is set unconditionally to DLLEXPORT because the - * Tcltest_Init declaration is in the source file itself, which is only - * accessed when we are building a library. - */ - -#undef TCL_STORAGE_CLASS -#define TCL_STORAGE_CLASS DLLEXPORT -EXTERN int Tcltest_Init(Tcl_Interp *interp); -EXTERN int Tcltest_SafeInit(Tcl_Interp *interp); +DLLEXPORT int Tcltest_Init(Tcl_Interp *interp); +DLLEXPORT int Tcltest_SafeInit(Tcl_Interp *interp); /* * Dynamic string shared by TestdcallCmd and DelCallbackProc; used to collect diff --git a/macosx/README b/macosx/README index bcffde3..551a18e 100644 --- a/macosx/README +++ b/macosx/README @@ -113,7 +113,7 @@ The following build configurations are available: The Xcode projects refer to the toplevel tcl source directory via the TCL_SRCROOT user build setting, by default this is set to the project-relative path '../../tcl', if your tcl source directory is named differently, e.g. -'../../tcl8.6', you need to manually change the TCL_SRCROOT setting by editing +'../../tcl8.7', you need to manually change the TCL_SRCROOT setting by editing your ${USER}.pbxuser file (located inside the Tcl.xcodeproj bundle directory) with a text editor. @@ -141,9 +141,9 @@ Detailed Instructions for building with macosx/GNUmakefile - Unpack the Tcl source release archive. - The following instructions assume the Tcl source tree is named "tcl${ver}", -(where ${ver} is a shell variable containing the Tcl version number e.g. '8.6'). +(where ${ver} is a shell variable containing the Tcl version number e.g. '8.7'). Setup this shell variable as follows: - ver="8.6" + ver="8.7" If you are building from CVS, omit this step (CVS source tree names usually do not contain a version number). diff --git a/unix/dltest/pkga.c b/unix/dltest/pkga.c index c4d3f32..2aee1b8 100644 --- a/unix/dltest/pkga.c +++ b/unix/dltest/pkga.c @@ -14,14 +14,6 @@ #include "tcl.h" /* - * TCL_STORAGE_CLASS is set unconditionally to DLLEXPORT because the - * Pkga_Init declaration is in the source file itself, which is only - * accessed when we are building a library. - */ -#undef TCL_STORAGE_CLASS -#define TCL_STORAGE_CLASS DLLEXPORT - -/* * Prototypes for procedures defined later in this file: */ @@ -124,7 +116,7 @@ Pkga_QuoteObjCmd( *---------------------------------------------------------------------- */ -EXTERN int +DLLEXPORT int Pkga_Init( Tcl_Interp *interp) /* Interpreter in which the package is to be * made available. */ diff --git a/unix/dltest/pkgc.c b/unix/dltest/pkgc.c index 557f21b..48e4d2a 100644 --- a/unix/dltest/pkgc.c +++ b/unix/dltest/pkgc.c @@ -15,14 +15,6 @@ #include "tcl.h" /* - * TCL_STORAGE_CLASS is set unconditionally to DLLEXPORT because the - * Pkgc_Init declaration is in the source file itself, which is only - * accessed when we are building a library. - */ -#undef TCL_STORAGE_CLASS -#define TCL_STORAGE_CLASS DLLEXPORT - -/* * Prototypes for procedures defined later in this file: */ @@ -114,7 +106,7 @@ Pkgc_UnsafeObjCmd( *---------------------------------------------------------------------- */ -EXTERN int +DLLEXPORT int Pkgc_Init( Tcl_Interp *interp) /* Interpreter in which the package is to be * made available. */ @@ -151,7 +143,7 @@ Pkgc_Init( *---------------------------------------------------------------------- */ -EXTERN int +DLLEXPORT int Pkgc_SafeInit( Tcl_Interp *interp) /* Interpreter in which the package is to be * made available. */ diff --git a/unix/dltest/pkgd.c b/unix/dltest/pkgd.c index 6e114e9..df7bbc9 100644 --- a/unix/dltest/pkgd.c +++ b/unix/dltest/pkgd.c @@ -15,14 +15,6 @@ #include "tcl.h" /* - * TCL_STORAGE_CLASS is set unconditionally to DLLEXPORT because the - * Pkgd_Init declaration is in the source file itself, which is only - * accessed when we are building a library. - */ -#undef TCL_STORAGE_CLASS -#define TCL_STORAGE_CLASS DLLEXPORT - -/* * Prototypes for procedures defined later in this file: */ @@ -114,7 +106,7 @@ Pkgd_UnsafeObjCmd( *---------------------------------------------------------------------- */ -EXTERN int +DLLEXPORT int Pkgd_Init( Tcl_Interp *interp) /* Interpreter in which the package is to be * made available. */ @@ -151,7 +143,7 @@ Pkgd_Init( *---------------------------------------------------------------------- */ -EXTERN int +DLLEXPORT int Pkgd_SafeInit( Tcl_Interp *interp) /* Interpreter in which the package is to be * made available. */ diff --git a/unix/dltest/pkge.c b/unix/dltest/pkge.c index 395cd0e..7160d90 100644 --- a/unix/dltest/pkge.c +++ b/unix/dltest/pkge.c @@ -13,15 +13,6 @@ #undef STATIC_BUILD #include "tcl.h" - -/* - * TCL_STORAGE_CLASS is set unconditionally to DLLEXPORT because the - * Pkge_Init declaration is in the source file itself, which is only - * accessed when we are building a library. - */ -#undef TCL_STORAGE_CLASS -#define TCL_STORAGE_CLASS DLLEXPORT - /* *---------------------------------------------------------------------- @@ -40,7 +31,7 @@ *---------------------------------------------------------------------- */ -EXTERN int +DLLEXPORT int Pkge_Init( Tcl_Interp *interp) /* Interpreter in which the package is to be * made available. */ diff --git a/unix/dltest/pkgua.c b/unix/dltest/pkgua.c index 5de0101..6d95640 100644 --- a/unix/dltest/pkgua.c +++ b/unix/dltest/pkgua.c @@ -15,14 +15,6 @@ #include "tcl.h" /* - * TCL_STORAGE_CLASS is set unconditionally to DLLEXPORT because the - * Pkgua_Init declaration is in the source file itself, which is only - * accessed when we are building a library. - */ -#undef TCL_STORAGE_CLASS -#define TCL_STORAGE_CLASS DLLEXPORT - -/* * Prototypes for procedures defined later in this file: */ @@ -200,7 +192,7 @@ PkguaQuoteObjCmd( *---------------------------------------------------------------------- */ -EXTERN int +DLLEXPORT int Pkgua_Init( Tcl_Interp *interp) /* Interpreter in which the package is to be * made available. */ @@ -253,7 +245,7 @@ Pkgua_Init( *---------------------------------------------------------------------- */ -EXTERN int +DLLEXPORT int Pkgua_SafeInit( Tcl_Interp *interp) /* Interpreter in which the package is to be * made available. */ @@ -278,7 +270,7 @@ Pkgua_SafeInit( *---------------------------------------------------------------------- */ -EXTERN int +DLLEXPORT int Pkgua_Unload( Tcl_Interp *interp, /* Interpreter from which the package is to be * unloaded. */ @@ -331,7 +323,7 @@ Pkgua_Unload( *---------------------------------------------------------------------- */ -EXTERN int +DLLEXPORT int Pkgua_SafeUnload( Tcl_Interp *interp, /* Interpreter from which the package is to be * unloaded. */ diff --git a/win/tclWinDde.c b/win/tclWinDde.c index ce0b413..c852728 100644 --- a/win/tclWinDde.c +++ b/win/tclWinDde.c @@ -34,16 +34,6 @@ #endif /* - * TCL_STORAGE_CLASS is set unconditionally to DLLEXPORT because the Dde_Init - * declaration is in the source file itself, which is only accessed when we - * are building a library. DO NOT MOVE BEFORE ANY #include LINES. ONLY USE - * EXTERN TO INDICATE EXPORTED FUNCTIONS FROM NOW ON. - */ - -#undef TCL_STORAGE_CLASS -#define TCL_STORAGE_CLASS DLLEXPORT - -/* * The following structure is used to keep track of the interpreters * registered by this process. */ @@ -69,13 +59,13 @@ typedef struct Conversation { Tcl_Obj *returnPackagePtr; /* The result package for this conversation. */ } Conversation; -typedef struct DdeEnumServices { +struct DdeEnumServices { Tcl_Interp *interp; int result; ATOM service; ATOM topic; HWND hwnd; -} DdeEnumServices; +}; typedef struct ThreadSpecificData { Conversation *currentConversations; @@ -135,8 +125,8 @@ static int DdeObjCmd(ClientData clientData, Tcl_Interp *interp, int objc, Tcl_Obj *const objv[]); -EXTERN int Dde_Init(Tcl_Interp *interp); -EXTERN int Dde_SafeInit(Tcl_Interp *interp); +DLLEXPORT int Dde_Init(Tcl_Interp *interp); +DLLEXPORT int Dde_SafeInit(Tcl_Interp *interp); /* *---------------------------------------------------------------------- @@ -399,7 +389,7 @@ DdeSetServerName( Tcl_DString ds; Tcl_ListObjIndex(interp, srvPtrPtr[n], 1, &namePtr); - Tcl_WinUtfToTChar(Tcl_GetString(namePtr), -1, &ds); + Tcl_WinUtfToTChar(Tcl_GetString(namePtr), -1, &ds); if (_tcscmp(actualName, (TCHAR *)Tcl_DStringValue(&ds)) == 0) { suffix++; Tcl_DStringFree(&ds); @@ -1757,8 +1747,7 @@ DdeObjCmd( objPtr = Tcl_GetVar2Ex(sendInterp, "errorInfo", NULL, TCL_GLOBAL_ONLY); if (objPtr) { - string = Tcl_GetStringFromObj(objPtr, &length); - Tcl_AddObjErrorInfo(interp, string, length); + Tcl_AppendObjToErrorInfo(interp, objPtr); } objPtr = Tcl_GetVar2Ex(sendInterp, "errorCode", NULL, @@ -1853,9 +1842,7 @@ DdeObjCmd( Tcl_DecrRefCount(resultPtr); goto invalidServerResponse; } - length = -1; - string = Tcl_GetStringFromObj(objPtr, &length); - Tcl_AddObjErrorInfo(interp, string, length); + Tcl_AppendObjToErrorInfo(interp, objPtr); Tcl_ListObjIndex(NULL, resultPtr, 2, &objPtr); Tcl_SetObjErrorCode(interp, objPtr); -- cgit v0.12 From 9e0c4021277674c3182c3082c38a5915d872ae0a Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 29 Jun 2016 15:45:26 +0000 Subject: Remove Tcl_Main() function, since it's no longer being used: It has been a macro already for ages. --- generic/tclMain.c | 23 +++++------------------ 1 file changed, 5 insertions(+), 18 deletions(-) diff --git a/generic/tclMain.c b/generic/tclMain.c index de7e29e..28f8fd8 100644 --- a/generic/tclMain.c +++ b/generic/tclMain.c @@ -112,7 +112,7 @@ typedef enum { PROMPT_CONTINUE /* Print prompt for command continuation */ } PromptType; -typedef struct InteractiveState { +typedef struct { Tcl_Channel input; /* The standard input channel from which lines * are read. */ int tty; /* Non-zero means standard input is a @@ -267,8 +267,10 @@ Tcl_SourceRCFile( c = Tcl_OpenFileChannel(NULL, fullName, "r", 0); if (c != NULL) { Tcl_Obj *fullNameObj = Tcl_NewStringObj(fullName, -1); + Tcl_Close(NULL, c); - if (Tcl_FSEvalFile(interp, fullNameObj) != TCL_OK) { + Tcl_IncrRefCount(fullNameObj); + if (Tcl_FSEvalFileEx(interp, fullNameObj, NULL) != TCL_OK) { chan = Tcl_GetStdChannel(TCL_STDERR); if (chan) { Tcl_WriteObj(chan, Tcl_GetObjResult(interp)); @@ -285,7 +287,7 @@ Tcl_SourceRCFile( /*---------------------------------------------------------------------- * - * Tcl_Main, Tcl_MainEx -- + * Tcl_MainEx -- * * Main program for tclsh and most other Tcl-based applications. * @@ -636,21 +638,6 @@ Tcl_MainEx( Tcl_Exit(exitCode); } - -#if (TCL_MAJOR_VERSION == 8) && !defined(UNICODE) -#undef Tcl_Main -extern DLLEXPORT void -Tcl_Main( - int argc, /* Number of arguments. */ - char **argv, /* Array of argument strings. */ - Tcl_AppInitProc *appInitProc) - /* Application-specific initialization - * function to call after most initialization - * but before starting to execute commands. */ -{ - Tcl_MainEx(argc, argv, appInitProc, Tcl_CreateInterp()); -} -#endif /* TCL_MAJOR_VERSION == 8 && !UNICODE */ #ifndef TCL_ASCII_MAIN -- cgit v0.12 From 26a0c08c0bcf995a69ec76d8061febcc24c650c2 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 30 Jun 2016 13:16:44 +0000 Subject: Simplify use of "struct" keyword in many places. --- generic/tclStringRep.h | 2 +- generic/tclTimer.c | 2 +- generic/tclTrace.c | 2 +- macosx/tclMacOSXFCmd.c | 2 +- macosx/tclMacOSXNotify.c | 4 ++-- unix/tclUnixChan.c | 4 ++-- unix/tclUnixCompat.c | 2 +- unix/tclUnixInit.c | 2 +- unix/tclUnixNotfy.c | 4 ++-- unix/tclUnixPipe.c | 2 +- unix/tclUnixTest.c | 2 +- unix/tclUnixThrd.c | 8 ++++---- unix/tclUnixTime.c | 2 +- unix/tclXtNotify.c | 2 +- win/tclWinChan.c | 4 ++-- win/tclWinConsole.c | 6 +++--- win/tclWinDde.c | 2 +- win/tclWinNotify.c | 2 +- win/tclWinSerial.c | 4 ++-- win/tclWinThrd.c | 10 +++++----- win/tclWinTime.c | 4 ++-- 21 files changed, 36 insertions(+), 36 deletions(-) diff --git a/generic/tclStringRep.h b/generic/tclStringRep.h index 227e6bc..db6f7e4 100644 --- a/generic/tclStringRep.h +++ b/generic/tclStringRep.h @@ -46,7 +46,7 @@ * tcl.h, but do not do that unless you are sure what you're doing! */ -typedef struct String { +typedef struct { int numChars; /* The number of chars in the string. -1 means * this value has not been calculated. >= 0 * means that there is a valid Unicode rep, or diff --git a/generic/tclTimer.c b/generic/tclTimer.c index c10986a..c83b5f5 100644 --- a/generic/tclTimer.c +++ b/generic/tclTimer.c @@ -91,7 +91,7 @@ typedef struct IdleHandler { * The structure defined below is used in this file only. */ -typedef struct ThreadSpecificData { +typedef struct { TimerHandler *firstTimerHandlerPtr; /* First event in queue. */ int lastTimerId; /* Timer identifier of most recently created * timer. */ diff --git a/generic/tclTrace.c b/generic/tclTrace.c index 4e74c54..33e62b2 100644 --- a/generic/tclTrace.c +++ b/generic/tclTrace.c @@ -143,7 +143,7 @@ static int TraceVarEx(Tcl_Interp *interp, const char *part1, * trace procs */ -typedef struct StringTraceData { +typedef struct { ClientData clientData; /* Client data from Tcl_CreateTrace */ Tcl_CmdTraceProc *proc; /* Trace function from Tcl_CreateTrace */ } StringTraceData; diff --git a/macosx/tclMacOSXFCmd.c b/macosx/tclMacOSXFCmd.c index 8ecfd0b..7c643a3 100644 --- a/macosx/tclMacOSXFCmd.c +++ b/macosx/tclMacOSXFCmd.c @@ -106,7 +106,7 @@ typedef struct finderinfo { u_int32_t extendedFileInfo[4]; } __attribute__ ((__packed__)) finderinfo; -typedef struct fileinfobuf { +typedef struct { u_int32_t info_length; u_int32_t data[8]; } fileinfobuf; diff --git a/macosx/tclMacOSXNotify.c b/macosx/tclMacOSXNotify.c index 9b7bd1a..a7f26b7 100644 --- a/macosx/tclMacOSXNotify.c +++ b/macosx/tclMacOSXNotify.c @@ -217,7 +217,7 @@ typedef struct FileHandler { * handlers are ready to fire. */ -typedef struct FileHandlerEvent { +typedef struct { Tcl_Event header; /* Information that is standard for all * events. */ int fd; /* File descriptor that is ready. Used to find @@ -232,7 +232,7 @@ typedef struct FileHandlerEvent { * writable, and exceptional conditions. */ -typedef struct SelectMasks { +typedef struct { fd_set readable; fd_set writable; fd_set exceptional; diff --git a/unix/tclUnixChan.c b/unix/tclUnixChan.c index b4b2739..6418f48 100644 --- a/unix/tclUnixChan.c +++ b/unix/tclUnixChan.c @@ -61,7 +61,7 @@ * This structure describes per-instance state of a file based channel. */ -typedef struct FileState { +typedef struct { Tcl_Channel channel; /* Channel associated with this file. */ int fd; /* File handle. */ int validMask; /* OR'ed combination of TCL_READABLE, @@ -76,7 +76,7 @@ typedef struct FileState { * a platform-independant manner. */ -typedef struct TtyAttrs { +typedef struct { int baud; int parity; int data; diff --git a/unix/tclUnixCompat.c b/unix/tclUnixCompat.c index 2a68f7f..1247061 100644 --- a/unix/tclUnixCompat.c +++ b/unix/tclUnixCompat.c @@ -49,7 +49,7 @@ #ifdef TCL_THREADS -typedef struct ThreadSpecificData { +typedef struct { struct passwd pwd; #if defined(HAVE_GETPWNAM_R_5) || defined(HAVE_GETPWUID_R_5) #define NEED_PW_CLEANER 1 diff --git a/unix/tclUnixInit.c b/unix/tclUnixInit.c index 71b20e3..aaff9ec 100644 --- a/unix/tclUnixInit.c +++ b/unix/tclUnixInit.c @@ -115,7 +115,7 @@ static char pkgPath[sizeof(TCL_PACKAGE_PATH)+200] = TCL_PACKAGE_PATH; * first list checked for a mapping from env encoding to Tcl encoding name. */ -typedef struct LocaleTable { +typedef struct { const char *lang; const char *encoding; } LocaleTable; diff --git a/unix/tclUnixNotfy.c b/unix/tclUnixNotfy.c index 3422089..9f9301f 100644 --- a/unix/tclUnixNotfy.c +++ b/unix/tclUnixNotfy.c @@ -39,7 +39,7 @@ typedef struct FileHandler { * handlers are ready to fire. */ -typedef struct FileHandlerEvent { +typedef struct { Tcl_Event header; /* Information that is standard for all * events. */ int fd; /* File descriptor that is ready. Used to find @@ -54,7 +54,7 @@ typedef struct FileHandlerEvent { * writable, and exception conditions. */ -typedef struct SelectMasks { +typedef struct { fd_set readable; fd_set writable; fd_set exception; diff --git a/unix/tclUnixPipe.c b/unix/tclUnixPipe.c index 8b26694..be7b4eb 100644 --- a/unix/tclUnixPipe.c +++ b/unix/tclUnixPipe.c @@ -30,7 +30,7 @@ * This structure describes per-instance state of a pipe based channel. */ -typedef struct PipeState { +typedef struct { Tcl_Channel channel; /* Channel associated with this file. */ TclFile inFile; /* Output from pipe. */ TclFile outFile; /* Input to pipe. */ diff --git a/unix/tclUnixTest.c b/unix/tclUnixTest.c index c5ac52a..86e0925 100644 --- a/unix/tclUnixTest.c +++ b/unix/tclUnixTest.c @@ -37,7 +37,7 @@ * exercised by the "testfilehandler" command. */ -typedef struct Pipe { +typedef struct { TclFile readFile; /* File handle for reading from the pipe. NULL * means pipe doesn't exist yet. */ TclFile writeFile; /* File handle for writing from the pipe. */ diff --git a/unix/tclUnixThrd.c b/unix/tclUnixThrd.c index cf81850..8f8eb7f 100644 --- a/unix/tclUnixThrd.c +++ b/unix/tclUnixThrd.c @@ -15,7 +15,7 @@ #ifdef TCL_THREADS -typedef struct ThreadSpecificData { +typedef struct { char nabuf[16]; } ThreadSpecificData; @@ -675,7 +675,7 @@ TclpInetNtoa( #ifdef USE_THREAD_ALLOC static pthread_key_t key; -typedef struct allocMutex { +typedef struct { Tcl_Mutex tlock; pthread_mutex_t plock; } allocMutex; @@ -683,10 +683,10 @@ typedef struct allocMutex { Tcl_Mutex * TclpNewAllocMutex(void) { - struct allocMutex *lockPtr; + allocMutex *lockPtr; register pthread_mutex_t *plockPtr; - lockPtr = malloc(sizeof(struct allocMutex)); + lockPtr = malloc(sizeof(allocMutex)); if (lockPtr == NULL) { Tcl_Panic("could not allocate lock"); } diff --git a/unix/tclUnixTime.c b/unix/tclUnixTime.c index 315bcf9..df759d8 100644 --- a/unix/tclUnixTime.c +++ b/unix/tclUnixTime.c @@ -23,7 +23,7 @@ */ static Tcl_ThreadDataKey tmKey; -typedef struct ThreadSpecificData { +typedef struct { struct tm gmtime_buf; struct tm localtime_buf; } ThreadSpecificData; diff --git a/unix/tclXtNotify.c b/unix/tclXtNotify.c index a5d92d6..26db9f2 100644 --- a/unix/tclXtNotify.c +++ b/unix/tclXtNotify.c @@ -42,7 +42,7 @@ typedef struct FileHandler { * handlers are ready to fire. */ -typedef struct FileHandlerEvent { +typedef struct { Tcl_Event header; /* Information that is standard for all * events. */ int fd; /* File descriptor that is ready. Used to find diff --git a/win/tclWinChan.c b/win/tclWinChan.c index 78b510b..7518e3e 100644 --- a/win/tclWinChan.c +++ b/win/tclWinChan.c @@ -43,7 +43,7 @@ typedef struct FileInfo { * pending on the channel. */ } FileInfo; -typedef struct ThreadSpecificData { +typedef struct { /* * List of all file channels currently open. */ @@ -58,7 +58,7 @@ static Tcl_ThreadDataKey dataKey; * events are generated. */ -typedef struct FileEvent { +typedef struct { Tcl_Event header; /* Information that is standard for all * events. */ FileInfo *infoPtr; /* Pointer to file info structure. Note that diff --git a/win/tclWinConsole.c b/win/tclWinConsole.c index ab55035..5ce8a2b 100644 --- a/win/tclWinConsole.c +++ b/win/tclWinConsole.c @@ -49,7 +49,7 @@ TCL_DECLARE_MUTEX(consoleMutex) * threads. */ -typedef struct ConsoleThreadInfo { +typedef struct { HANDLE thread; /* Handle to reader or writer thread. */ HANDLE readyEvent; /* Manual-reset event to signal _to_ the main * thread when the worker thread has finished @@ -112,7 +112,7 @@ typedef struct ConsoleInfo { /* Data consumed by reader thread. */ } ConsoleInfo; -typedef struct ThreadSpecificData { +typedef struct { /* * The following pointer refers to the head of the list of consoles that * are being watched for file events. @@ -128,7 +128,7 @@ static Tcl_ThreadDataKey dataKey; * console events are generated. */ -typedef struct ConsoleEvent { +typedef struct { Tcl_Event header; /* Information that is standard for all * events. */ ConsoleInfo *infoPtr; /* Pointer to console info structure. Note diff --git a/win/tclWinDde.c b/win/tclWinDde.c index c852728..2589630 100644 --- a/win/tclWinDde.c +++ b/win/tclWinDde.c @@ -67,7 +67,7 @@ struct DdeEnumServices { HWND hwnd; }; -typedef struct ThreadSpecificData { +typedef struct { Conversation *currentConversations; /* A list of conversations currently being * processed. */ diff --git a/win/tclWinNotify.c b/win/tclWinNotify.c index 1ad022d..28c8445 100644 --- a/win/tclWinNotify.c +++ b/win/tclWinNotify.c @@ -27,7 +27,7 @@ * created for each thread that is using the notifier. */ -typedef struct ThreadSpecificData { +typedef struct { CRITICAL_SECTION crit; /* Monitor for this notifier. */ DWORD thread; /* Identifier for thread associated with this * notifier. */ diff --git a/win/tclWinSerial.c b/win/tclWinSerial.c index 0730a46..0ce5f4d 100644 --- a/win/tclWinSerial.c +++ b/win/tclWinSerial.c @@ -120,7 +120,7 @@ typedef struct SerialInfo { * [fconfigure -queue] */ } SerialInfo; -typedef struct ThreadSpecificData { +typedef struct { /* * The following pointer refers to the head of the list of serials that * are being watched for file events. @@ -136,7 +136,7 @@ static Tcl_ThreadDataKey dataKey; * events are generated. */ -typedef struct SerialEvent { +typedef struct { Tcl_Event header; /* Information that is standard for all * events. */ SerialInfo *infoPtr; /* Pointer to serial info structure. Note that diff --git a/win/tclWinThrd.c b/win/tclWinThrd.c index dbc5f26..26d745d 100644 --- a/win/tclWinThrd.c +++ b/win/tclWinThrd.c @@ -107,7 +107,7 @@ static Tcl_ThreadDataKey dataKey; * the queue. */ -typedef struct WinCondition { +typedef struct { CRITICAL_SECTION condLock; /* Lock to serialize queuing on the * condition. */ struct ThreadSpecificData *firstPtr; /* Queue pointers */ @@ -121,7 +121,7 @@ typedef struct WinCondition { #ifdef USE_THREAD_ALLOC static DWORD tlsKey; -typedef struct allocMutex { +typedef struct { Tcl_Mutex tlock; CRITICAL_SECTION wlock; } allocMutex; @@ -132,7 +132,7 @@ typedef struct allocMutex { * to TclWinThreadStart. */ -typedef struct WinThread { +typedef struct { LPTHREAD_START_ROUTINE lpStartAddress; /* Original startup routine */ LPVOID lpParameter; /* Original startup data */ unsigned int fpControl; /* Floating point control word from the @@ -940,9 +940,9 @@ TclpFinalizeCondition( Tcl_Mutex * TclpNewAllocMutex(void) { - struct allocMutex *lockPtr; + allocMutex *lockPtr; - lockPtr = malloc(sizeof(struct allocMutex)); + lockPtr = malloc(sizeof(allocMutex)); if (lockPtr == NULL) { Tcl_Panic("could not allocate lock"); } diff --git a/win/tclWinTime.c b/win/tclWinTime.c index 7045c72..7b5c18a 100644 --- a/win/tclWinTime.c +++ b/win/tclWinTime.c @@ -35,7 +35,7 @@ static const int leapDays[] = { -1, 30, 59, 90, 120, 151, 181, 212, 243, 273, 304, 334, 365 }; -typedef struct ThreadSpecificData { +typedef struct { char tzName[64]; /* Time zone name */ struct tm tm; /* time information */ } ThreadSpecificData; @@ -45,7 +45,7 @@ static Tcl_ThreadDataKey dataKey; * Data for managing high-resolution timers. */ -typedef struct TimeInfo { +typedef struct { CRITICAL_SECTION cs; /* Mutex guarding this structure. */ int initialized; /* Flag == 1 if this structure is * initialized. */ -- cgit v0.12 From 8c8ec10e78e872ffa4e4edef6ae16e03d5872efc Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 1 Jul 2016 13:20:37 +0000 Subject: Disable special hacks for Itcl 3 ensemble error message generation. Migration paths are in place to bring this to an end. --- generic/tclInt.h | 13 +++++++++++++ tests/indexObj.test | 2 +- 2 files changed, 14 insertions(+), 1 deletion(-) diff --git a/generic/tclInt.h b/generic/tclInt.h index 49a299c..85981d9 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -26,6 +26,19 @@ #undef ACCEPT_NAN /* + * In Tcl 8.7, stop supporting special hacks for legacy Itcl 3. + * Itcl 4 doesn't need them. Itcl 3 can be updated to not need them + * using the Tcl(Init|Reset)RewriteEnsemble() routines in all Tcl 8.6+ + * releases. Perhaps Tcl 8.7 will add even better public interfaces + * supporting all the re-invocation mechanisms extensions like Itcl 3 + * need. As an absolute last resort, folks who must make Itcl 3 work + * unchanged with Tcl 8.7 can remove this line to regain the migration + * support. Tcl 9 will no longer offer even that option. + */ + +#define AVOID_HACKS_FOR_ITCL 1 + +/* * Common include files needed by most of the Tcl source files are included * here, so that system-dependent personalizations for the include files only * have to be made in once place. This results in a few extra includes, but diff --git a/tests/indexObj.test b/tests/indexObj.test index 646cb02..126d062 100644 --- a/tests/indexObj.test +++ b/tests/indexObj.test @@ -109,7 +109,7 @@ test indexObj-5.6 {Tcl_WrongNumArgs} testindexobj { } "wrong # args: should be \"mycmd foo\"" # Contrast this with test proc-3.6; they have to be like this because # of [Bug 1066837] so Itcl won't break. -test indexObj-5.7 {Tcl_WrongNumArgs} testindexobj { +test indexObj-5.7 {Tcl_WrongNumArgs} {testindexobj obsolete} { testwrongnumargs 2 "fee fi" "fo fum" foo bar } "wrong # args: should be \"fo fum foo fee fi\"" -- cgit v0.12 From 064cf7ed1232f4b7eb6cea4be782bdd6d77e1c49 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 1 Jul 2016 14:11:38 +0000 Subject: Make test-case "for.test" pass, regardless of end-of-line spacing --- tests/for.test | 38 +++++++++++++++++++------------------- 1 file changed, 19 insertions(+), 19 deletions(-) diff --git a/tests/for.test b/tests/for.test index 8e701d6..c8a8187 100644 --- a/tests/for.test +++ b/tests/for.test @@ -451,7 +451,7 @@ proc formatMail {} { set c [string length $line] } } - set newline [string range $line 0 $c] + set newline [string trimright [string range $line 0 $c]] if {! $continuation} { append result $newline $NL } else { @@ -507,7 +507,7 @@ releases of the Tcl scripting language and the Tk toolk it. The first beta versions of these releases were released on August 30, 1996. These releas es contain only minor changes, -so we hope to have only a single beta release and to +so we hope to have only a single beta release and to go final in early October, 1996. @@ -519,34 +519,34 @@ and changes files in the distributions for more complet e information on what has changed, including both feature changes and bug fixes. - There are new options to the file command for + There are new options to the file command for copying files (file copy), - deleting files and directories (file delete), + deleting files and directories (file delete), creating directories (file mkdir), and renaming files (file rename). The implementation of exec has been improved great ly for Windows 95 and Windows NT. - There is a new memory allocator for the Macintosh + There is a new memory allocator for the Macintosh version, which should be more efficient than the old one. - Tk's grid geometry manager has been completely + Tk's grid geometry manager has been completely rewritten. The layout algorithm produces much better layouts than before , especially where rows or columns were stretchable. - There are new commands for creating common dialog + There are new commands for creating common dialog boxes: tk_chooseColor, tk_getOpenFile, tk_getSaveFile and - tk_messageBox. These use native dialog boxes if + tk_messageBox. These use native dialog boxes if they are available. There is a new virtual event mechanism for handlin g events in a more portable - way. See the new command event. It also allows + way. See the new command event. It also allows events (both physical and virtual) to be generated dynamically. -Tcl 7.6 and Tk 4.2 are backwards-compatible with Tcl +Tcl 7.6 and Tk 4.2 are backwards-compatible with Tcl 7.5 and Tk 4.1 except for changes in the C APIs for custom channel drivers. Scrip ts written for earlier releases @@ -556,27 +556,27 @@ Obtaining The Releases Binary Releases -Pre-compiled releases are available for the following +Pre-compiled releases are available for the following platforms: Windows 3.1, Windows 95, and Windows NT: Fetch - ftp://ftp.sunlabs.com/pub/tcl/win42b1.exe, then + ftp://ftp.sunlabs.com/pub/tcl/win42b1.exe, then execute it. The file is a - self-extracting executable. It will install the + self-extracting executable. It will install the Tcl and Tk libraries, the wish and tclsh programs, and documentation. Macintosh (both 68K and PowerPC): Fetch - ftp://ftp.sunlabs.com/pub/tcl/mactk4.2b1.sea.hqx. + ftp://ftp.sunlabs.com/pub/tcl/mactk4.2b1.sea.hqx. The file is in binhex format, - which is understood by Fetch, StuffIt, and many + which is understood by Fetch, StuffIt, and many other Mac utilities. The - unpacked file is a self-installing executable: + unpacked file is a self-installing executable: double-click on it and it will create a - folder containing all that you need to run Tcl + folder containing all that you need to run Tcl and Tk. - UNIX (Solaris 2.* and SunOS, other systems + UNIX (Solaris 2.* and SunOS, other systems soon to follow). Easy to install - binary packages are now for sale at the Sun Labs + binary packages are now for sale at the Sun Labs Tcl/Tk Shop. Check it out! } -- cgit v0.12 From f84ad84e4153f7bdce3247e5f5ab7477e74db51f Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 8 Jul 2016 10:28:48 +0000 Subject: Micro-optimization: Use TclGetStringFromObj in stead of Tcl_GetStringFromObj in many places where possible. --- generic/tclAssembly.c | 6 +++--- generic/tclBasic.c | 14 ++++++------- generic/tclBinary.c | 2 +- generic/tclCompCmds.c | 12 +++++------ generic/tclCompCmdsGR.c | 4 ++-- generic/tclCompCmdsSZ.c | 18 ++++++++-------- generic/tclCompile.c | 8 ++++---- generic/tclDisassemble.c | 4 ++-- generic/tclEncoding.c | 2 +- generic/tclEnsemble.c | 8 ++++---- generic/tclExecute.c | 6 +++--- generic/tclFileName.c | 32 ++++++++++++++--------------- generic/tclIORChan.c | 8 ++++---- generic/tclIORTrans.c | 4 ++-- generic/tclIOUtil.c | 28 ++++++++++++------------- generic/tclIndexObj.c | 10 ++++----- generic/tclInterp.c | 10 ++++----- generic/tclLink.c | 2 +- generic/tclLiteral.c | 8 ++++---- generic/tclMain.c | 8 ++++---- generic/tclOODefineCmds.c | 10 ++++----- generic/tclOOMethod.c | 2 +- generic/tclObj.c | 4 ++-- generic/tclOptimize.c | 4 ++-- generic/tclParse.c | 4 ++-- generic/tclPathObj.c | 52 +++++++++++++++++++++++------------------------ generic/tclPkg.c | 8 ++++---- generic/tclProc.c | 6 +++--- generic/tclStringObj.c | 2 +- generic/tclTimer.c | 4 ++-- generic/tclTrace.c | 8 ++++---- generic/tclUtil.c | 6 +++--- generic/tclZlib.c | 6 +++--- macosx/tclMacOSXFCmd.c | 2 +- unix/dltest/pkgua.c | 5 ++--- unix/tclUnixFCmd.c | 12 +++++------ unix/tclUnixFile.c | 6 +++--- unix/tclUnixInit.c | 2 +- win/tclWinFCmd.c | 6 +++--- win/tclWinFile.c | 8 ++++---- win/tclWinInit.c | 2 +- 41 files changed, 176 insertions(+), 177 deletions(-) diff --git a/generic/tclAssembly.c b/generic/tclAssembly.c index 8dd23a0..7a5ffcc 100644 --- a/generic/tclAssembly.c +++ b/generic/tclAssembly.c @@ -1299,7 +1299,7 @@ AssembleOneLine( if (GetNextOperand(assemEnvPtr, &tokenPtr, &operand1Obj) != TCL_OK) { goto cleanup; } - operand1 = Tcl_GetStringFromObj(operand1Obj, &operand1Len); + operand1 = TclGetStringFromObj(operand1Obj, &operand1Len); litIndex = TclRegisterNewLiteral(envPtr, operand1, operand1Len); BBEmitInst1or4(assemEnvPtr, tblIdx, litIndex, 0); break; @@ -1448,7 +1448,7 @@ AssembleOneLine( &operand1Obj) != TCL_OK) { goto cleanup; } else { - operand1 = Tcl_GetStringFromObj(operand1Obj, &operand1Len); + operand1 = TclGetStringFromObj(operand1Obj, &operand1Len); litIndex = TclRegisterNewLiteral(envPtr, operand1, operand1Len); /* @@ -2288,7 +2288,7 @@ FindLocalVar( if (GetNextOperand(assemEnvPtr, tokenPtrPtr, &varNameObj) != TCL_OK) { return -1; } - varNameStr = Tcl_GetStringFromObj(varNameObj, &varNameLen); + varNameStr = TclGetStringFromObj(varNameObj, &varNameLen); if (CheckNamespaceQualifiers(interp, varNameStr, varNameLen)) { Tcl_DecrRefCount(varNameObj); return -1; diff --git a/generic/tclBasic.c b/generic/tclBasic.c index a0b5505..53023d8 100644 --- a/generic/tclBasic.c +++ b/generic/tclBasic.c @@ -3943,7 +3943,7 @@ Tcl_Canceled( */ if (iPtr->asyncCancelMsg != NULL) { - message = Tcl_GetStringFromObj(iPtr->asyncCancelMsg, &length); + message = TclGetStringFromObj(iPtr->asyncCancelMsg, &length); } else { length = 0; } @@ -4042,7 +4042,7 @@ Tcl_CancelEval( */ if (resultObjPtr != NULL) { - result = Tcl_GetStringFromObj(resultObjPtr, &cancelInfo->length); + result = TclGetStringFromObj(resultObjPtr, &cancelInfo->length); cancelInfo->result = ckrealloc(cancelInfo->result,cancelInfo->length); memcpy(cancelInfo->result, result, (size_t) cancelInfo->length); TclDecrRefCount(resultObjPtr); /* Discard their result object. */ @@ -4554,7 +4554,7 @@ TEOV_Error( */ listPtr = Tcl_NewListObj(objc, objv); - cmdString = Tcl_GetStringFromObj(listPtr, &cmdLen); + cmdString = TclGetStringFromObj(listPtr, &cmdLen); Tcl_LogCommandInfo(interp, cmdString, cmdString, cmdLen); Tcl_DecrRefCount(listPtr); } @@ -4700,7 +4700,7 @@ TEOV_RunEnterTraces( Command *cmdPtr = *cmdPtrPtr; int newEpoch, cmdEpoch = cmdPtr->cmdEpoch; int length, traceCode = TCL_OK; - const char *command = Tcl_GetStringFromObj(commandPtr, &length); + const char *command = TclGetStringFromObj(commandPtr, &length); /* * Call trace functions. @@ -4752,7 +4752,7 @@ TEOV_RunLeaveTraces( Command *cmdPtr = data[2]; Tcl_Obj **objv = data[3]; int length; - const char *command = Tcl_GetStringFromObj(commandPtr, &length); + const char *command = TclGetStringFromObj(commandPtr, &length); if (!(cmdPtr->flags & CMD_IS_DELETED)) { if (cmdPtr->flags & CMD_HAS_EXEC_TRACES){ @@ -6117,7 +6117,7 @@ TclNREvalObjEx( Tcl_IncrRefCount(objPtr); - script = Tcl_GetStringFromObj(objPtr, &numSrcBytes); + script = TclGetStringFromObj(objPtr, &numSrcBytes); result = Tcl_EvalEx(interp, script, numSrcBytes, flags); TclDecrRefCount(objPtr); @@ -6148,7 +6148,7 @@ TEOEx_ByteCodeCallback( ProcessUnexpectedResult(interp, result); result = TCL_ERROR; - script = Tcl_GetStringFromObj(objPtr, &numSrcBytes); + script = TclGetStringFromObj(objPtr, &numSrcBytes); Tcl_LogCommandInfo(interp, script, script, numSrcBytes); } diff --git a/generic/tclBinary.c b/generic/tclBinary.c index 981f174..9a5771e 100644 --- a/generic/tclBinary.c +++ b/generic/tclBinary.c @@ -2500,7 +2500,7 @@ BinaryEncode64( } break; case OPT_WRAPCHAR: - wrapchar = Tcl_GetStringFromObj(objv[i+1], &wrapcharlen); + wrapchar = TclGetStringFromObj(objv[i+1], &wrapcharlen); if (wrapcharlen == 0) { maxlen = 0; } diff --git a/generic/tclCompCmds.c b/generic/tclCompCmds.c index 3ab03cc..bce17dc 100644 --- a/generic/tclCompCmds.c +++ b/generic/tclCompCmds.c @@ -801,7 +801,7 @@ TclCompileConcatCmd( Tcl_ListObjGetElements(NULL, listObj, &len, &objs); objPtr = Tcl_ConcatObj(len, objs); Tcl_DecrRefCount(listObj); - bytes = Tcl_GetStringFromObj(objPtr, &len); + bytes = TclGetStringFromObj(objPtr, &len); PushLiteral(envPtr, bytes, len); Tcl_DecrRefCount(objPtr); return TCL_OK; @@ -1209,7 +1209,7 @@ TclCompileDictCreateCmd( * We did! Excellent. The "verifyDict" is to do type forcing. */ - bytes = Tcl_GetStringFromObj(dictObj, &len); + bytes = TclGetStringFromObj(dictObj, &len); PushLiteral(envPtr, bytes, len); TclEmitOpcode( INST_DUP, envPtr); TclEmitOpcode( INST_DICT_VERIFY, envPtr); @@ -2650,7 +2650,7 @@ CompileEachloopCmd( int numBytes, varIndex; Tcl_ListObjIndex(NULL, varListObj, j, &varNameObj); - bytes = Tcl_GetStringFromObj(varNameObj, &numBytes); + bytes = TclGetStringFromObj(varNameObj, &numBytes); varIndex = LocalScalar(bytes, numBytes, envPtr); if (varIndex < 0) { code = TCL_ERROR; @@ -3087,7 +3087,7 @@ TclCompileFormatCmd( * literal. Job done. */ - bytes = Tcl_GetStringFromObj(tmpObj, &len); + bytes = TclGetStringFromObj(tmpObj, &len); PushLiteral(envPtr, bytes, len); Tcl_DecrRefCount(tmpObj); return TCL_OK; @@ -3158,7 +3158,7 @@ TclCompileFormatCmd( if (*++bytes == '%') { Tcl_AppendToObj(tmpObj, "%", 1); } else { - char *b = Tcl_GetStringFromObj(tmpObj, &len); + char *b = TclGetStringFromObj(tmpObj, &len); /* * If there is a non-empty literal from the format string, @@ -3192,7 +3192,7 @@ TclCompileFormatCmd( */ Tcl_AppendToObj(tmpObj, start, bytes - start); - bytes = Tcl_GetStringFromObj(tmpObj, &len); + bytes = TclGetStringFromObj(tmpObj, &len); if (len > 0) { PushLiteral(envPtr, bytes, len); i++; diff --git a/generic/tclCompCmdsGR.c b/generic/tclCompCmdsGR.c index ffe39ba..593a8af 100644 --- a/generic/tclCompCmdsGR.c +++ b/generic/tclCompCmdsGR.c @@ -2451,7 +2451,7 @@ TclCompileRegsubCmd( * replacement "simple"? */ - bytes = Tcl_GetStringFromObj(patternObj, &len); + bytes = TclGetStringFromObj(patternObj, &len); if (TclReToGlob(NULL, bytes, len, &pattern, &exact, &quantified) != TCL_OK || exact || quantified) { goto done; @@ -2499,7 +2499,7 @@ TclCompileRegsubCmd( result = TCL_OK; bytes = Tcl_DStringValue(&pattern) + 1; PushLiteral(envPtr, bytes, len); - bytes = Tcl_GetStringFromObj(replacementObj, &len); + bytes = TclGetStringFromObj(replacementObj, &len); PushLiteral(envPtr, bytes, len); CompileWord(envPtr, stringTokenPtr, interp, parsePtr->numWords-2); TclEmitOpcode( INST_STR_MAP, envPtr); diff --git a/generic/tclCompCmdsSZ.c b/generic/tclCompCmdsSZ.c index 101edbd..2503089 100644 --- a/generic/tclCompCmdsSZ.c +++ b/generic/tclCompCmdsSZ.c @@ -312,7 +312,7 @@ TclCompileStringCatCmd( Tcl_DecrRefCount(obj); if (folded) { int len; - const char *bytes = Tcl_GetStringFromObj(folded, &len); + const char *bytes = TclGetStringFromObj(folded, &len); PushLiteral(envPtr, bytes, len); Tcl_DecrRefCount(folded); @@ -330,7 +330,7 @@ TclCompileStringCatCmd( } if (folded) { int len; - const char *bytes = Tcl_GetStringFromObj(folded, &len); + const char *bytes = TclGetStringFromObj(folded, &len); PushLiteral(envPtr, bytes, len); Tcl_DecrRefCount(folded); @@ -948,12 +948,12 @@ TclCompileStringMapCmd( * correct semantics for mapping. */ - bytes = Tcl_GetStringFromObj(objv[0], &len); + bytes = TclGetStringFromObj(objv[0], &len); if (len == 0) { CompileWord(envPtr, stringTokenPtr, interp, 2); } else { PushLiteral(envPtr, bytes, len); - bytes = Tcl_GetStringFromObj(objv[1], &len); + bytes = TclGetStringFromObj(objv[1], &len); PushLiteral(envPtr, bytes, len); CompileWord(envPtr, stringTokenPtr, interp, 2); OP(STR_MAP); @@ -2825,7 +2825,7 @@ TclCompileTryCmd( } if (objc > 0) { int len; - const char *varname = Tcl_GetStringFromObj(objv[0], &len); + const char *varname = TclGetStringFromObj(objv[0], &len); resultVarIndices[i] = LocalScalar(varname, len, envPtr); if (resultVarIndices[i] < 0) { @@ -2837,7 +2837,7 @@ TclCompileTryCmd( } if (objc == 2) { int len; - const char *varname = Tcl_GetStringFromObj(objv[1], &len); + const char *varname = TclGetStringFromObj(objv[1], &len); optionVarIndices[i] = LocalScalar(varname, len, envPtr); if (optionVarIndices[i] < 0) { @@ -3040,7 +3040,7 @@ IssueTryClausesInstructions( OP4( DICT_GET, 1); TclAdjustStackDepth(-1, envPtr); OP44( LIST_RANGE_IMM, 0, len-1); - p = Tcl_GetStringFromObj(matchClauses[i], &len); + p = TclGetStringFromObj(matchClauses[i], &len); PushLiteral(envPtr, p, len); OP( STR_EQ); JUMP4( JUMP_FALSE, notECJumpSource); @@ -3251,7 +3251,7 @@ IssueTryClausesFinallyInstructions( OP4( DICT_GET, 1); TclAdjustStackDepth(-1, envPtr); OP44( LIST_RANGE_IMM, 0, len-1); - p = Tcl_GetStringFromObj(matchClauses[i], &len); + p = TclGetStringFromObj(matchClauses[i], &len); PushLiteral(envPtr, p, len); OP( STR_EQ); JUMP4( JUMP_FALSE, notECJumpSource); @@ -3579,7 +3579,7 @@ TclCompileUnsetCmd( const char *bytes; int len; - bytes = Tcl_GetStringFromObj(leadingWord, &len); + bytes = TclGetStringFromObj(leadingWord, &len); if (i == 1 && len == 11 && !strncmp("-nocomplain", bytes, 11)) { flags = 0; haveFlags++; diff --git a/generic/tclCompile.c b/generic/tclCompile.c index b1b67a8..0024f1e 100644 --- a/generic/tclCompile.c +++ b/generic/tclCompile.c @@ -1314,7 +1314,7 @@ CompileSubstObj( if (objPtr->typePtr != &substCodeType) { CompileEnv compEnv; int numBytes; - const char *bytes = Tcl_GetStringFromObj(objPtr, &numBytes); + const char *bytes = TclGetStringFromObj(objPtr, &numBytes); /* TODO: Check for more TIP 280 */ TclInitCompileEnv(interp, &compEnv, bytes, numBytes, NULL, 0); @@ -1792,7 +1792,7 @@ CompileCmdLiteral( CompileEnv *envPtr) { int numBytes; - const char *bytes = Tcl_GetStringFromObj(cmdObj, &numBytes); + const char *bytes = TclGetStringFromObj(cmdObj, &numBytes); int cmdLitIdx = TclRegisterNewCmdLiteral(envPtr, bytes, numBytes); Command *cmdPtr = (Command *) Tcl_GetCommandFromObj(interp, cmdObj); @@ -2729,7 +2729,7 @@ PreventCycle( * the intrep. */ int numBytes; - const char *bytes = Tcl_GetStringFromObj(objPtr, &numBytes); + const char *bytes = TclGetStringFromObj(objPtr, &numBytes); Tcl_Obj *copyPtr = Tcl_NewStringObj(bytes, numBytes); Tcl_IncrRefCount(copyPtr); @@ -2968,7 +2968,7 @@ TclFindCompiledLocal( varNamePtr = &cachePtr->varName0; for (i=0; i < cachePtr->numVars; varNamePtr++, i++) { if (*varNamePtr) { - localName = Tcl_GetStringFromObj(*varNamePtr, &len); + localName = TclGetStringFromObj(*varNamePtr, &len); if ((len == nameBytes) && !strncmp(name, localName, len)) { return i; } diff --git a/generic/tclDisassemble.c b/generic/tclDisassemble.c index 1d616fb..0d6da8e 100644 --- a/generic/tclDisassemble.c +++ b/generic/tclDisassemble.c @@ -193,7 +193,7 @@ TclPrintObject( char *bytes; int length; - bytes = Tcl_GetStringFromObj(objPtr, &length); + bytes = TclGetStringFromObj(objPtr, &length); TclPrintSource(outFile, bytes, TclMin(length, maxChars)); } @@ -650,7 +650,7 @@ FormatInstruction( int length; Tcl_AppendToObj(bufferObj, "\t# ", -1); - bytes = Tcl_GetStringFromObj(codePtr->objArrayPtr[opnd], &length); + bytes = TclGetStringFromObj(codePtr->objArrayPtr[opnd], &length); PrintSourceToObj(bufferObj, bytes, TclMin(length, 40)); } else if (suffixBuffer[0]) { Tcl_AppendPrintfToObj(bufferObj, "\t# %s", suffixBuffer); diff --git a/generic/tclEncoding.c b/generic/tclEncoding.c index 32055a3..99cb315 100644 --- a/generic/tclEncoding.c +++ b/generic/tclEncoding.c @@ -3633,7 +3633,7 @@ InitializeEncodingSearchPath( if (*encodingPtr) { ((Encoding *)(*encodingPtr))->refCount++; } - bytes = Tcl_GetStringFromObj(searchPathObj, &numBytes); + bytes = TclGetStringFromObj(searchPathObj, &numBytes); *lengthPtr = numBytes; *valuePtr = ckalloc(numBytes + 1); diff --git a/generic/tclEnsemble.c b/generic/tclEnsemble.c index ee81aee..d5d896a 100644 --- a/generic/tclEnsemble.c +++ b/generic/tclEnsemble.c @@ -1771,7 +1771,7 @@ NsEnsembleImplementationCmdNR( int tableLength = ensemblePtr->subcommandTable.numEntries; Tcl_Obj *fix; - subcmdName = Tcl_GetStringFromObj(subObj, &stringLength); + subcmdName = TclGetStringFromObj(subObj, &stringLength); for (i=0 ; isubcommandArrayPtr[i], @@ -2913,7 +2913,7 @@ TclCompileEnsemble( goto failed; } for (i=0 ; itokenPtr; i < parsePtr->numWords; i++, tokPtr = TokenAfter(tokPtr)) { if (i > 0 && i < numWords+1) { - bytes = Tcl_GetStringFromObj(words[i-1], &length); + bytes = TclGetStringFromObj(words[i-1], &length); PushLiteral(envPtr, bytes, length); continue; } @@ -3344,7 +3344,7 @@ CompileToInvokedCommand( objPtr = Tcl_NewObj(); Tcl_GetCommandFullName(interp, (Tcl_Command) cmdPtr, objPtr); - bytes = Tcl_GetStringFromObj(objPtr, &length); + bytes = TclGetStringFromObj(objPtr, &length); cmdLit = TclRegisterNewCmdLiteral(envPtr, bytes, length); TclSetCmdNameObj(interp, TclFetchLiteral(envPtr, cmdLit), cmdPtr); TclEmitPush(cmdLit, envPtr); diff --git a/generic/tclExecute.c b/generic/tclExecute.c index df0618c..a9c5de5 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -9826,7 +9826,7 @@ IllegalExprOperandType( if (GetNumberFromObj(NULL, opndPtr, &ptr, &type) != TCL_OK) { int numBytes; - const char *bytes = Tcl_GetStringFromObj(opndPtr, &numBytes); + const char *bytes = TclGetStringFromObj(opndPtr, &numBytes); if (numBytes == 0) { description = "empty string"; @@ -10455,7 +10455,7 @@ EvalStatsCmd( if (entryPtr->objPtr->typePtr == &tclByteCodeType) { numByteCodeLits++; } - (void) Tcl_GetStringFromObj(entryPtr->objPtr, &length); + (void) TclGetStringFromObj(entryPtr->objPtr, &length); refCountSum += entryPtr->refCount; objBytesIfUnshared += (entryPtr->refCount * sizeof(Tcl_Obj)); strBytesIfUnshared += (entryPtr->refCount * (length+1)); @@ -10677,7 +10677,7 @@ EvalStatsCmd( Tcl_SetObjResult(interp, objPtr); } else { Tcl_Channel outChan; - char *str = Tcl_GetStringFromObj(objv[1], &length); + char *str = TclGetStringFromObj(objv[1], &length); if (length) { if (strcmp(str, "stdout") == 0) { diff --git a/generic/tclFileName.c b/generic/tclFileName.c index 2136883..150fb8c 100644 --- a/generic/tclFileName.c +++ b/generic/tclFileName.c @@ -387,7 +387,7 @@ TclpGetNativePathType( { Tcl_PathType type = TCL_PATH_ABSOLUTE; int pathLen; - const char *path = Tcl_GetStringFromObj(pathPtr, &pathLen); + const char *path = TclGetStringFromObj(pathPtr, &pathLen); if (path[0] == '~') { /* @@ -578,7 +578,7 @@ Tcl_SplitPath( size = 1; for (i = 0; i < *argcPtr; i++) { Tcl_ListObjIndex(NULL, resultPtr, i, &eltPtr); - Tcl_GetStringFromObj(eltPtr, &len); + TclGetStringFromObj(eltPtr, &len); size += len + 1; } @@ -597,7 +597,7 @@ Tcl_SplitPath( p = (char *) &(*argvPtr)[(*argcPtr) + 1]; for (i = 0; i < *argcPtr; i++) { Tcl_ListObjIndex(NULL, resultPtr, i, &eltPtr); - str = Tcl_GetStringFromObj(eltPtr, &len); + str = TclGetStringFromObj(eltPtr, &len); memcpy(p, str, (size_t) len+1); p += len+1; } @@ -857,7 +857,7 @@ TclpNativeJoinPath( const char *p; const char *start; - start = Tcl_GetStringFromObj(prefix, &length); + start = TclGetStringFromObj(prefix, &length); /* * Remove the ./ from tilde prefixed elements, and drive-letter prefixed @@ -885,7 +885,7 @@ TclpNativeJoinPath( if (length > 0 && (start[length-1] != '/')) { Tcl_AppendToObj(prefix, "/", 1); - Tcl_GetStringFromObj(prefix, &length); + TclGetStringFromObj(prefix, &length); } needsSep = 0; @@ -921,7 +921,7 @@ TclpNativeJoinPath( if ((length > 0) && (start[length-1] != '/') && (start[length-1] != ':')) { Tcl_AppendToObj(prefix, "/", 1); - Tcl_GetStringFromObj(prefix, &length); + TclGetStringFromObj(prefix, &length); } needsSep = 0; @@ -1003,7 +1003,7 @@ Tcl_JoinPath( * Store the result. */ - resultStr = Tcl_GetStringFromObj(resultObj, &len); + resultStr = TclGetStringFromObj(resultObj, &len); Tcl_DStringAppend(resultPtr, resultStr, len); Tcl_DecrRefCount(resultObj); @@ -1249,7 +1249,7 @@ Tcl_GlobObjCmd( for (i = 1; i < objc; i++) { if (Tcl_GetIndexFromObj(interp, objv[i], options, "option", 0, &index) != TCL_OK) { - string = Tcl_GetStringFromObj(objv[i], &length); + string = TclGetStringFromObj(objv[i], &length); if (string[0] == '-') { /* * It looks like the command contains an option so signal an @@ -1357,7 +1357,7 @@ Tcl_GlobObjCmd( if (dir == PATH_GENERAL) { int pathlength; const char *last; - const char *first = Tcl_GetStringFromObj(pathOrDir,&pathlength); + const char *first = TclGetStringFromObj(pathOrDir,&pathlength); /* * Find the last path separator in the path @@ -1460,7 +1460,7 @@ Tcl_GlobObjCmd( const char *str; Tcl_ListObjIndex(interp, typePtr, length, &look); - str = Tcl_GetStringFromObj(look, &len); + str = TclGetStringFromObj(look, &len); if (strcmp("readonly", str) == 0) { globTypes->perm |= TCL_GLOB_PERM_RONLY; } else if (strcmp("hidden", str) == 0) { @@ -1992,7 +1992,7 @@ TclGlob( Tcl_Panic("Called TclGlob with TCL_GLOBMODE_TAILS and pathPrefix==NULL"); } - pre = Tcl_GetStringFromObj(pathPrefix, &prefixLen); + pre = TclGetStringFromObj(pathPrefix, &prefixLen); if (prefixLen > 0 && (strchr(separators, pre[prefixLen-1]) == NULL)) { /* @@ -2010,7 +2010,7 @@ TclGlob( Tcl_ListObjGetElements(NULL, filenamesObj, &objc, &objv); for (i = 0; i< objc; i++) { int len; - const char *oldStr = Tcl_GetStringFromObj(objv[i], &len); + const char *oldStr = TclGetStringFromObj(objv[i], &len); Tcl_Obj *elem; if (len == prefixLen) { @@ -2362,7 +2362,7 @@ DoGlob( Tcl_Obj *fixme, *newObj; Tcl_ListObjIndex(NULL, matchesObj, repair, &fixme); - bytes = Tcl_GetStringFromObj(fixme, &numBytes); + bytes = TclGetStringFromObj(fixme, &numBytes); newObj = Tcl_NewStringObj(bytes+2, numBytes-2); Tcl_ListObjReplace(NULL, matchesObj, repair, 1, 1, &newObj); @@ -2400,7 +2400,7 @@ DoGlob( Tcl_DStringAppend(&append, pattern, p-pattern); if (pathPtr != NULL) { - (void) Tcl_GetStringFromObj(pathPtr, &length); + (void) TclGetStringFromObj(pathPtr, &length); } else { length = 0; } @@ -2446,7 +2446,7 @@ DoGlob( */ int len; - const char *joined = Tcl_GetStringFromObj(joinedPtr,&len); + const char *joined = TclGetStringFromObj(joinedPtr,&len); if (strchr(separators, joined[len-1]) == NULL) { Tcl_AppendToObj(joinedPtr, "/", 1); @@ -2483,7 +2483,7 @@ DoGlob( */ int len; - const char *joined = Tcl_GetStringFromObj(joinedPtr,&len); + const char *joined = TclGetStringFromObj(joinedPtr,&len); if (strchr(separators, joined[len-1]) == NULL) { if (Tcl_FSGetPathType(pathPtr) != TCL_PATH_VOLUME_RELATIVE) { diff --git a/generic/tclIORChan.c b/generic/tclIORChan.c index f476a1a..1089d2b 100644 --- a/generic/tclIORChan.c +++ b/generic/tclIORChan.c @@ -1946,7 +1946,7 @@ ReflectGetOption( goto error; } else { int len; - const char *str = Tcl_GetStringFromObj(resObj, &len); + const char *str = TclGetStringFromObj(resObj, &len); if (len) { TclDStringAppendLiteral(dsPtr, " "); @@ -2319,7 +2319,7 @@ InvokeTclMethod( if (result != TCL_ERROR) { int cmdLen; - const char *cmdString = Tcl_GetStringFromObj(cmd, &cmdLen); + const char *cmdString = TclGetStringFromObj(cmd, &cmdLen); Tcl_IncrRefCount(cmd); Tcl_ResetResult(rcPtr->interp); @@ -3174,7 +3174,7 @@ ForwardProc( ForwardSetDynamicError(paramPtr, buf); } else { int len; - const char *str = Tcl_GetStringFromObj(resObj, &len); + const char *str = TclGetStringFromObj(resObj, &len); if (len) { TclDStringAppendLiteral(paramPtr->getOpt.value, " "); @@ -3273,7 +3273,7 @@ ForwardSetObjError( Tcl_Obj *obj) { int len; - const char *msgStr = Tcl_GetStringFromObj(obj, &len); + const char *msgStr = TclGetStringFromObj(obj, &len); len++; ForwardSetDynamicError(paramPtr, ckalloc(len)); diff --git a/generic/tclIORTrans.c b/generic/tclIORTrans.c index af86ba5..47e0bc8 100644 --- a/generic/tclIORTrans.c +++ b/generic/tclIORTrans.c @@ -2043,7 +2043,7 @@ InvokeTclMethod( if (result != TCL_ERROR) { Tcl_Obj *cmd = Tcl_NewListObj(cmdc, rtPtr->argv); int cmdLen; - const char *cmdString = Tcl_GetStringFromObj(cmd, &cmdLen); + const char *cmdString = TclGetStringFromObj(cmd, &cmdLen); Tcl_IncrRefCount(cmd); Tcl_ResetResult(rtPtr->interp); @@ -2807,7 +2807,7 @@ ForwardSetObjError( Tcl_Obj *obj) { int len; - const char *msgStr = Tcl_GetStringFromObj(obj, &len); + const char *msgStr = TclGetStringFromObj(obj, &len); len++; ForwardSetDynamicError(paramPtr, ckalloc(len)); diff --git a/generic/tclIOUtil.c b/generic/tclIOUtil.c index 3aa0ce5..397c3b1 100644 --- a/generic/tclIOUtil.c +++ b/generic/tclIOUtil.c @@ -544,8 +544,8 @@ TclFSCwdPointerEquals( int len1, len2; const char *str1, *str2; - str1 = Tcl_GetStringFromObj(tsdPtr->cwdPathPtr, &len1); - str2 = Tcl_GetStringFromObj(*pathPtrPtr, &len2); + str1 = TclGetStringFromObj(tsdPtr->cwdPathPtr, &len1); + str2 = TclGetStringFromObj(*pathPtrPtr, &len2); if ((len1 == len2) && !memcmp(str1, str2, len1)) { /* * They are equal, but different objects. Update so they will be @@ -688,7 +688,7 @@ FsUpdateCwd( ThreadSpecificData *tsdPtr = TCL_TSD_INIT(&fsDataKey); if (cwdObj != NULL) { - str = Tcl_GetStringFromObj(cwdObj, &len); + str = TclGetStringFromObj(cwdObj, &len); } Tcl_MutexLock(&cwdMutex); @@ -1224,8 +1224,8 @@ FsAddMountsToGlobResult( if (norm != NULL) { const char *path, *mount; - mount = Tcl_GetStringFromObj(mElt, &mlen); - path = Tcl_GetStringFromObj(norm, &len); + mount = TclGetStringFromObj(mElt, &mlen); + path = TclGetStringFromObj(norm, &len); if (path[len-1] == '/') { /* * Deal with the root of the volume. @@ -1816,7 +1816,7 @@ Tcl_FSEvalFileEx( oldScriptFile = iPtr->scriptFile; iPtr->scriptFile = pathPtr; Tcl_IncrRefCount(iPtr->scriptFile); - string = Tcl_GetStringFromObj(objPtr, &length); + string = TclGetStringFromObj(objPtr, &length); /* * TIP #280 Force the evaluator to open a frame for a sourced file. @@ -1843,7 +1843,7 @@ Tcl_FSEvalFileEx( * Record information telling where the error occurred. */ - const char *pathString = Tcl_GetStringFromObj(pathPtr, &length); + const char *pathString = TclGetStringFromObj(pathPtr, &length); int limit = 150; int overflow = (length > limit); @@ -1994,7 +1994,7 @@ EvalFileCallback( */ int length; - const char *pathString = Tcl_GetStringFromObj(pathPtr, &length); + const char *pathString = TclGetStringFromObj(pathPtr, &length); const int limit = 150; int overflow = (length > limit); @@ -2846,8 +2846,8 @@ Tcl_FSGetCwd( int len1, len2; const char *str1, *str2; - str1 = Tcl_GetStringFromObj(tsdPtr->cwdPathPtr, &len1); - str2 = Tcl_GetStringFromObj(norm, &len2); + str1 = TclGetStringFromObj(tsdPtr->cwdPathPtr, &len1); + str2 = TclGetStringFromObj(norm, &len2); if ((len1 == len2) && (strcmp(str1, str2) == 0)) { /* * If the paths were equal, we can be more efficient and @@ -4115,7 +4115,7 @@ TclGetPathType( * caller. */ { int pathLen; - const char *path = Tcl_GetStringFromObj(pathPtr, &pathLen); + const char *path = TclGetStringFromObj(pathPtr, &pathLen); Tcl_PathType type; type = TclFSNonnativePathType(path, pathLen, filesystemPtrPtr, @@ -4227,7 +4227,7 @@ TclFSNonnativePathType( numVolumes--; Tcl_ListObjIndex(NULL, thisFsVolumes, numVolumes, &vol); - strVol = Tcl_GetStringFromObj(vol,&len); + strVol = TclGetStringFromObj(vol,&len); if (pathLen < len) { continue; } @@ -4574,8 +4574,8 @@ Tcl_FSRemoveDirectory( Tcl_Obj *normPath = Tcl_FSGetNormalizedPath(NULL, pathPtr); if (normPath != NULL) { - normPathStr = Tcl_GetStringFromObj(normPath, &normLen); - cwdStr = Tcl_GetStringFromObj(cwdPtr, &cwdLen); + normPathStr = TclGetStringFromObj(normPath, &normLen); + cwdStr = TclGetStringFromObj(cwdPtr, &cwdLen); if ((cwdLen >= normLen) && (strncmp(normPathStr, cwdStr, (size_t) normLen) == 0)) { /* diff --git a/generic/tclIndexObj.c b/generic/tclIndexObj.c index 0e0ddc9..2281d22 100644 --- a/generic/tclIndexObj.c +++ b/generic/tclIndexObj.c @@ -712,10 +712,10 @@ PrefixAllObjCmd( return result; } resultPtr = Tcl_NewListObj(0, NULL); - string = Tcl_GetStringFromObj(objv[2], &length); + string = TclGetStringFromObj(objv[2], &length); for (t = 0; t < tableObjc; t++) { - elemString = Tcl_GetStringFromObj(tableObjv[t], &elemLength); + elemString = TclGetStringFromObj(tableObjv[t], &elemLength); /* * A prefix cannot match if it is longest. @@ -768,13 +768,13 @@ PrefixLongestObjCmd( if (result != TCL_OK) { return result; } - string = Tcl_GetStringFromObj(objv[2], &length); + string = TclGetStringFromObj(objv[2], &length); resultString = NULL; resultLength = 0; for (t = 0; t < tableObjc; t++) { - elemString = Tcl_GetStringFromObj(tableObjv[t], &elemLength); + elemString = TclGetStringFromObj(tableObjv[t], &elemLength); /* * First check if the prefix string matches the element. A prefix @@ -1148,7 +1148,7 @@ Tcl_ParseArgsObjv( curArg = objv[srcIndex]; srcIndex++; objc--; - str = Tcl_GetStringFromObj(curArg, &length); + str = TclGetStringFromObj(curArg, &length); if (length > 0) { c = str[1]; } else { diff --git a/generic/tclInterp.c b/generic/tclInterp.c index c281d6d..a2de658 100644 --- a/generic/tclInterp.c +++ b/generic/tclInterp.c @@ -4502,7 +4502,7 @@ SlaveCommandLimitCmd( switch ((enum Options) index) { case OPT_CMD: scriptObj = objv[i+1]; - (void) Tcl_GetStringFromObj(objv[i+1], &scriptLen); + (void) TclGetStringFromObj(scriptObj, &scriptLen); break; case OPT_GRAN: granObj = objv[i+1]; @@ -4519,7 +4519,7 @@ SlaveCommandLimitCmd( break; case OPT_VAL: limitObj = objv[i+1]; - (void) Tcl_GetStringFromObj(objv[i+1], &limitLen); + (void) TclGetStringFromObj(objv[i+1], &limitLen); if (limitLen == 0) { break; } @@ -4711,7 +4711,7 @@ SlaveTimeLimitCmd( switch ((enum Options) index) { case OPT_CMD: scriptObj = objv[i+1]; - (void) Tcl_GetStringFromObj(objv[i+1], &scriptLen); + (void) TclGetStringFromObj(objv[i+1], &scriptLen); break; case OPT_GRAN: granObj = objv[i+1]; @@ -4728,7 +4728,7 @@ SlaveTimeLimitCmd( break; case OPT_MILLI: milliObj = objv[i+1]; - (void) Tcl_GetStringFromObj(objv[i+1], &milliLen); + (void) TclGetStringFromObj(objv[i+1], &milliLen); if (milliLen == 0) { break; } @@ -4746,7 +4746,7 @@ SlaveTimeLimitCmd( break; case OPT_SEC: secObj = objv[i+1]; - (void) Tcl_GetStringFromObj(objv[i+1], &secLen); + (void) TclGetStringFromObj(objv[i+1], &secLen); if (secLen == 0) { break; } diff --git a/generic/tclLink.c b/generic/tclLink.c index 2735256..e6dc657 100644 --- a/generic/tclLink.c +++ b/generic/tclLink.c @@ -526,7 +526,7 @@ LinkTraceProc( break; case TCL_LINK_STRING: - value = Tcl_GetStringFromObj(valueObj, &valueLength); + value = TclGetStringFromObj(valueObj, &valueLength); valueLength++; pp = (char **) linkPtr->addr; diff --git a/generic/tclLiteral.c b/generic/tclLiteral.c index 03200ca..e0425cf 100644 --- a/generic/tclLiteral.c +++ b/generic/tclLiteral.c @@ -671,7 +671,7 @@ AddLocalLiteralEntry( } if (!found) { - bytes = Tcl_GetStringFromObj(objPtr, &length); + bytes = TclGetStringFromObj(objPtr, &length); Tcl_Panic("%s: literal \"%.*s\" wasn't found locally", "AddLocalLiteralEntry", (length>60? 60 : length), bytes); } @@ -1147,14 +1147,14 @@ TclVerifyLocalLiteralTable( localPtr=localPtr->nextPtr) { count++; if (localPtr->refCount != -1) { - bytes = Tcl_GetStringFromObj(localPtr->objPtr, &length); + bytes = TclGetStringFromObj(localPtr->objPtr, &length); Tcl_Panic("%s: local literal \"%.*s\" had bad refCount %d", "TclVerifyLocalLiteralTable", (length>60? 60 : length), bytes, localPtr->refCount); } if (LookupLiteralEntry((Tcl_Interp *) envPtr->iPtr, localPtr->objPtr) == NULL) { - bytes = Tcl_GetStringFromObj(localPtr->objPtr, &length); + bytes = TclGetStringFromObj(localPtr->objPtr, &length); Tcl_Panic("%s: local literal \"%.*s\" is not global", "TclVerifyLocalLiteralTable", (length>60? 60 : length), bytes); @@ -1205,7 +1205,7 @@ TclVerifyGlobalLiteralTable( globalPtr=globalPtr->nextPtr) { count++; if (globalPtr->refCount < 1) { - bytes = Tcl_GetStringFromObj(globalPtr->objPtr, &length); + bytes = TclGetStringFromObj(globalPtr->objPtr, &length); Tcl_Panic("%s: global literal \"%.*s\" had bad refCount %d", "TclVerifyGlobalLiteralTable", (length>60? 60 : length), bytes, globalPtr->refCount); diff --git a/generic/tclMain.c b/generic/tclMain.c index 28f8fd8..f89bd5e 100644 --- a/generic/tclMain.c +++ b/generic/tclMain.c @@ -536,7 +536,7 @@ Tcl_MainEx( * error messages troubles deeper in, so lop it back off. */ - Tcl_GetStringFromObj(is.commandPtr, &length); + TclGetStringFromObj(is.commandPtr, &length); Tcl_SetObjLength(is.commandPtr, --length); code = Tcl_RecordAndEvalObj(interp, is.commandPtr, TCL_EVAL_GLOBAL); @@ -553,7 +553,7 @@ Tcl_MainEx( } else if (is.tty) { resultPtr = Tcl_GetObjResult(interp); Tcl_IncrRefCount(resultPtr); - Tcl_GetStringFromObj(resultPtr, &length); + TclGetStringFromObj(resultPtr, &length); chan = Tcl_GetStdChannel(TCL_STDOUT); if ((length > 0) && chan) { Tcl_WriteObj(chan, resultPtr); @@ -797,7 +797,7 @@ StdinProc( goto prompt; } isPtr->prompt = PROMPT_START; - Tcl_GetStringFromObj(commandPtr, &length); + TclGetStringFromObj(commandPtr, &length); Tcl_SetObjLength(commandPtr, --length); /* @@ -828,7 +828,7 @@ StdinProc( chan = Tcl_GetStdChannel(TCL_STDOUT); Tcl_IncrRefCount(resultPtr); - Tcl_GetStringFromObj(resultPtr, &length); + TclGetStringFromObj(resultPtr, &length); if ((length > 0) && (chan != NULL)) { Tcl_WriteObj(chan, resultPtr); Tcl_WriteChars(chan, "\n", 1); diff --git a/generic/tclOODefineCmds.c b/generic/tclOODefineCmds.c index 8747ff5..8c3f28c 100644 --- a/generic/tclOODefineCmds.c +++ b/generic/tclOODefineCmds.c @@ -525,7 +525,7 @@ TclOOUnknownDefinition( return TCL_ERROR; } - soughtStr = Tcl_GetStringFromObj(objv[1], &soughtLen); + soughtStr = TclGetStringFromObj(objv[1], &soughtLen); if (soughtLen == 0) { goto noMatch; } @@ -585,7 +585,7 @@ FindCommand( Tcl_Namespace *const namespacePtr) { int length; - const char *nameStr, *string = Tcl_GetStringFromObj(stringObj, &length); + const char *nameStr, *string = TclGetStringFromObj(stringObj, &length); register Namespace *const nsPtr = (Namespace *) namespacePtr; FOREACH_HASH_DECLS; Tcl_Command cmd, cmd2; @@ -774,7 +774,7 @@ GenerateErrorInfo( int length; Tcl_Obj *realNameObj = Tcl_ObjectDeleted((Tcl_Object) oPtr) ? savedNameObj : TclOOObjectName(interp, oPtr); - const char *objName = Tcl_GetStringFromObj(realNameObj, &length); + const char *objName = TclGetStringFromObj(realNameObj, &length); int limit = OBJNAME_LENGTH_IN_ERRORINFO_LIMIT; int overflow = (length > limit); @@ -1239,7 +1239,7 @@ TclOODefineConstructorObjCmd( } clsPtr = oPtr->classPtr; - Tcl_GetStringFromObj(objv[2], &bodyLength); + TclGetStringFromObj(objv[2], &bodyLength); if (bodyLength > 0) { /* * Create the method structure. @@ -1358,7 +1358,7 @@ TclOODefineDestructorObjCmd( } clsPtr = oPtr->classPtr; - Tcl_GetStringFromObj(objv[1], &bodyLength); + TclGetStringFromObj(objv[1], &bodyLength); if (bodyLength > 0) { /* * Create the method structure. diff --git a/generic/tclOOMethod.c b/generic/tclOOMethod.c index 99a8bfc..9c49caa 100644 --- a/generic/tclOOMethod.c +++ b/generic/tclOOMethod.c @@ -1166,7 +1166,7 @@ MethodErrorHandler( CallContext *contextPtr = ((Interp *) interp)->varFramePtr->clientData; Method *mPtr = contextPtr->callPtr->chain[contextPtr->index].mPtr; const char *objectName, *kindName, *methodName = - Tcl_GetStringFromObj(mPtr->namePtr, &nameLen); + TclGetStringFromObj(mPtr->namePtr, &nameLen); Object *declarerPtr; if (mPtr->declaringObjectPtr != NULL) { diff --git a/generic/tclObj.c b/generic/tclObj.c index a45a392..776b034 100644 --- a/generic/tclObj.c +++ b/generic/tclObj.c @@ -663,7 +663,7 @@ TclContinuationsEnterDerived( * better way which doesn't shimmer?) */ - Tcl_GetStringFromObj(objPtr, &length); + TclGetStringFromObj(objPtr, &length); end = start + length; /* First char after the word */ /* @@ -1989,7 +1989,7 @@ TclSetBooleanFromAny( badBoolean: if (interp != NULL) { int length; - const char *str = Tcl_GetStringFromObj(objPtr, &length); + const char *str = TclGetStringFromObj(objPtr, &length); Tcl_Obj *msg; TclNewLiteralStringObj(msg, "expected boolean value but got \""); diff --git a/generic/tclOptimize.c b/generic/tclOptimize.c index 827d89d..8267a7d 100644 --- a/generic/tclOptimize.c +++ b/generic/tclOptimize.c @@ -233,7 +233,7 @@ ConvertZeroEffectToNOP( TclGetUInt1AtPtr(currentInstPtr + 1)); int numBytes; - (void) Tcl_GetStringFromObj(litPtr, &numBytes); + (void) TclGetStringFromObj(litPtr, &numBytes); if (numBytes == 0) { blank = size + InstLength(nextInst); } @@ -248,7 +248,7 @@ ConvertZeroEffectToNOP( TclGetUInt4AtPtr(currentInstPtr + 1)); int numBytes; - (void) Tcl_GetStringFromObj(litPtr, &numBytes); + (void) TclGetStringFromObj(litPtr, &numBytes); if (numBytes == 0) { blank = size + InstLength(nextInst); } diff --git a/generic/tclParse.c b/generic/tclParse.c index 5577e87..3a04df4 100644 --- a/generic/tclParse.c +++ b/generic/tclParse.c @@ -2220,7 +2220,7 @@ TclSubstTokens( if (result == 0) { clPos = 0; } else { - Tcl_GetStringFromObj(result, &clPos); + TclGetStringFromObj(result, &clPos); } if (numCL >= maxNumCL) { @@ -2496,7 +2496,7 @@ TclObjCommandComplete( * check. */ { int length; - const char *script = Tcl_GetStringFromObj(objPtr, &length); + const char *script = TclGetStringFromObj(objPtr, &length); return CommandComplete(script, length); } diff --git a/generic/tclPathObj.c b/generic/tclPathObj.c index 99d576d..cf8d784 100644 --- a/generic/tclPathObj.c +++ b/generic/tclPathObj.c @@ -231,7 +231,7 @@ TclFSNormalizeAbsolutePath( retVal = Tcl_NewStringObj(path, dirSep - path); Tcl_IncrRefCount(retVal); } - Tcl_GetStringFromObj(retVal, &curLen); + TclGetStringFromObj(retVal, &curLen); if (curLen == 0) { Tcl_AppendToObj(retVal, dirSep, 1); } @@ -257,7 +257,7 @@ TclFSNormalizeAbsolutePath( retVal = Tcl_NewStringObj(path, dirSep - path); Tcl_IncrRefCount(retVal); } - Tcl_GetStringFromObj(retVal, &curLen); + TclGetStringFromObj(retVal, &curLen); if (curLen == 0) { Tcl_AppendToObj(retVal, dirSep, 1); } @@ -288,7 +288,7 @@ TclFSNormalizeAbsolutePath( */ const char *path = - Tcl_GetStringFromObj(retVal, &curLen); + TclGetStringFromObj(retVal, &curLen); while (--curLen >= 0) { if (IsSeparatorOrNull(path[curLen])) { @@ -303,7 +303,7 @@ TclFSNormalizeAbsolutePath( Tcl_SetObjLength(retVal, curLen+1); Tcl_AppendObjToObj(retVal, linkObj); TclDecrRefCount(linkObj); - linkStr = Tcl_GetStringFromObj(retVal, &curLen); + linkStr = TclGetStringFromObj(retVal, &curLen); } else { /* * Absolute link. @@ -316,7 +316,7 @@ TclFSNormalizeAbsolutePath( } else { retVal = linkObj; } - linkStr = Tcl_GetStringFromObj(retVal, &curLen); + linkStr = TclGetStringFromObj(retVal, &curLen); /* * Convert to forward-slashes on windows. @@ -333,7 +333,7 @@ TclFSNormalizeAbsolutePath( } } } else { - linkStr = Tcl_GetStringFromObj(retVal, &curLen); + linkStr = TclGetStringFromObj(retVal, &curLen); } /* @@ -404,7 +404,7 @@ TclFSNormalizeAbsolutePath( if (tclPlatform == TCL_PLATFORM_WINDOWS) { int len; - const char *path = Tcl_GetStringFromObj(retVal, &len); + const char *path = TclGetStringFromObj(retVal, &len); if (len == 2 && path[0] != 0 && path[1] == ':') { if (Tcl_IsShared(retVal)) { @@ -579,7 +579,7 @@ TclPathPart( int numBytes; const char *rest = - Tcl_GetStringFromObj(fsPathPtr->normPathPtr, &numBytes); + TclGetStringFromObj(fsPathPtr->normPathPtr, &numBytes); if (strchr(rest, '/') != NULL) { goto standardPath; @@ -617,7 +617,7 @@ TclPathPart( int numBytes; const char *rest = - Tcl_GetStringFromObj(fsPathPtr->normPathPtr, &numBytes); + TclGetStringFromObj(fsPathPtr->normPathPtr, &numBytes); if (strchr(rest, '/') != NULL) { goto standardPath; @@ -646,7 +646,7 @@ TclPathPart( const char *fileName, *extension; int length; - fileName = Tcl_GetStringFromObj(fsPathPtr->normPathPtr, + fileName = TclGetStringFromObj(fsPathPtr->normPathPtr, &length); extension = TclGetExtension(fileName); if (extension == NULL) { @@ -698,7 +698,7 @@ TclPathPart( int length; const char *fileName, *extension; - fileName = Tcl_GetStringFromObj(pathPtr, &length); + fileName = TclGetStringFromObj(pathPtr, &length); extension = TclGetExtension(fileName); if (extension == NULL) { Tcl_IncrRefCount(pathPtr); @@ -881,7 +881,7 @@ TclJoinPath( const char *str; int len; - str = Tcl_GetStringFromObj(tailObj, &len); + str = TclGetStringFromObj(tailObj, &len); if (len == 0) { /* * This happens if we try to handle the root volume '/'. @@ -943,7 +943,7 @@ TclJoinPath( } } } - strElt = Tcl_GetStringFromObj(elt, &strEltLen); + strElt = TclGetStringFromObj(elt, &strEltLen); type = TclGetPathType(elt, &fsPtr, &driveNameLength, &driveName); if (type != TCL_PATH_RELATIVE) { /* @@ -1030,9 +1030,9 @@ TclJoinPath( noQuickReturn: if (res == NULL) { res = Tcl_NewObj(); - ptr = Tcl_GetStringFromObj(res, &length); + ptr = TclGetStringFromObj(res, &length); } else { - ptr = Tcl_GetStringFromObj(res, &length); + ptr = TclGetStringFromObj(res, &length); } /* @@ -1077,7 +1077,7 @@ TclJoinPath( if (length > 0 && ptr[length -1] != '/') { Tcl_AppendToObj(res, &separator, 1); - Tcl_GetStringFromObj(res, &length); + TclGetStringFromObj(res, &length); } Tcl_SetObjLength(res, length + (int) strlen(strElt)); @@ -1372,7 +1372,7 @@ AppendPath( * intrep produce the same results; that is, bugward compatibility. If * we need to fix that bug here, it needs fixing in TclJoinPath() too. */ - bytes = Tcl_GetStringFromObj(tail, &numBytes); + bytes = TclGetStringFromObj(tail, &numBytes); if (numBytes == 0) { Tcl_AppendToObj(copy, "/", 1); } else { @@ -1431,7 +1431,7 @@ TclFSMakePathRelative( * too little below, leading to wrong answers returned by glob. */ - tempStr = Tcl_GetStringFromObj(cwdPtr, &cwdLen); + tempStr = TclGetStringFromObj(cwdPtr, &cwdLen); /* * Should we perhaps use 'Tcl_FSPathSeparator'? But then what about the @@ -1451,7 +1451,7 @@ TclFSMakePathRelative( } break; } - tempStr = Tcl_GetStringFromObj(pathPtr, &len); + tempStr = TclGetStringFromObj(pathPtr, &len); return Tcl_NewStringObj(tempStr + cwdLen, len - cwdLen); } @@ -1715,7 +1715,7 @@ Tcl_FSGetTranslatedStringPath( if (transPtr != NULL) { int len; - const char *orig = Tcl_GetStringFromObj(transPtr, &len); + const char *orig = TclGetStringFromObj(transPtr, &len); char *result = ckalloc(len+1); memcpy(result, orig, (size_t) len+1); @@ -1776,7 +1776,7 @@ Tcl_FSGetNormalizedPath( UpdateStringOfFsPath(pathPtr); } - Tcl_GetStringFromObj(fsPathPtr->normPathPtr, &tailLen); + TclGetStringFromObj(fsPathPtr->normPathPtr, &tailLen); if (tailLen) { copy = AppendPath(dir, fsPathPtr->normPathPtr); } else { @@ -1789,7 +1789,7 @@ Tcl_FSGetNormalizedPath( * We now own a reference on both 'dir' and 'copy' */ - (void) Tcl_GetStringFromObj(dir, &cwdLen); + (void) TclGetStringFromObj(dir, &cwdLen); cwdLen += (Tcl_GetString(copy)[cwdLen] == '/'); /* Normalize the combined string. */ @@ -1883,7 +1883,7 @@ Tcl_FSGetNormalizedPath( copy = AppendPath(fsPathPtr->cwdPtr, pathPtr); - (void) Tcl_GetStringFromObj(fsPathPtr->cwdPtr, &cwdLen); + (void) TclGetStringFromObj(fsPathPtr->cwdPtr, &cwdLen); cwdLen += (Tcl_GetString(copy)[cwdLen] == '/'); /* @@ -2333,7 +2333,7 @@ SetFsPathFromAny( * cmdAH.test exercise most of the code). */ - name = Tcl_GetStringFromObj(pathPtr, &len); + name = TclGetStringFromObj(pathPtr, &len); /* * Handle tilde substitutions, if needed. @@ -2602,7 +2602,7 @@ UpdateStringOfFsPath( copy = AppendPath(fsPathPtr->cwdPtr, fsPathPtr->normPathPtr); - pathPtr->bytes = Tcl_GetStringFromObj(copy, &cwdLen); + pathPtr->bytes = TclGetStringFromObj(copy, &cwdLen); pathPtr->length = cwdLen; copy->bytes = tclEmptyStringRep; copy->length = 0; @@ -2663,7 +2663,7 @@ TclNativePathInFilesystem( int len; - (void) Tcl_GetStringFromObj(pathPtr, &len); + (void) TclGetStringFromObj(pathPtr, &len); if (len == 0) { /* * We reject the empty path "". diff --git a/generic/tclPkg.c b/generic/tclPkg.c index 86777a8..244eb94 100644 --- a/generic/tclPkg.c +++ b/generic/tclPkg.c @@ -842,7 +842,7 @@ Tcl_PackageObjCmd( } else { pkgPtr = FindPackage(interp, argv2); } - argv3 = Tcl_GetStringFromObj(objv[3], &length); + argv3 = TclGetStringFromObj(objv[3], &length); for (availPtr = pkgPtr->availPtr, prevPtr = NULL; availPtr != NULL; prevPtr = availPtr, availPtr = availPtr->nextPtr) { @@ -883,7 +883,7 @@ Tcl_PackageObjCmd( prevPtr->nextPtr = availPtr; } } - argv4 = Tcl_GetStringFromObj(objv[4], &length); + argv4 = TclGetStringFromObj(objv[4], &length); DupBlock(availPtr->script, argv4, (unsigned) length + 1); break; } @@ -1034,7 +1034,7 @@ Tcl_PackageObjCmd( if (iPtr->packageUnknown != NULL) { ckfree(iPtr->packageUnknown); } - argv2 = Tcl_GetStringFromObj(objv[2], &length); + argv2 = TclGetStringFromObj(objv[2], &length); if (argv2[0] == 0) { iPtr->packageUnknown = NULL; } else { @@ -1682,7 +1682,7 @@ AddRequirementsToResult( int i, length; for (i = 0; i < reqc; i++) { - const char *v = Tcl_GetStringFromObj(reqv[i], &length); + const char *v = TclGetStringFromObj(reqv[i], &length); if ((length & 0x1) && (v[length/2] == '-') && (strncmp(v, v+((length+1)/2), length/2) == 0)) { diff --git a/generic/tclProc.c b/generic/tclProc.c index ae9e7cd..81d3b25 100644 --- a/generic/tclProc.c +++ b/generic/tclProc.c @@ -343,7 +343,7 @@ Tcl_ProcObjCmd( * The argument list is just "args"; check the body */ - procBody = Tcl_GetStringFromObj(objv[3], &numBytes); + procBody = TclGetStringFromObj(objv[3], &numBytes); if (TclParseAllWhiteSpace(procBody, numBytes) < numBytes) { goto done; } @@ -2083,7 +2083,7 @@ MakeProcError( * messages and trace information. */ { int overflow, limit = 60, nameLen; - const char *procName = Tcl_GetStringFromObj(procNameObj, &nameLen); + const char *procName = TclGetStringFromObj(procNameObj, &nameLen); overflow = (nameLen > limit); Tcl_AppendObjToErrorInfo(interp, Tcl_ObjPrintf( @@ -2764,7 +2764,7 @@ MakeLambdaError( * messages and trace information. */ { int overflow, limit = 60, nameLen; - const char *procName = Tcl_GetStringFromObj(procNameObj, &nameLen); + const char *procName = TclGetStringFromObj(procNameObj, &nameLen); overflow = (nameLen > limit); Tcl_AppendObjToErrorInfo(interp, Tcl_ObjPrintf( diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index b480735..e3cede6 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -2285,7 +2285,7 @@ Tcl_AppendFormatToObj( } } - Tcl_GetStringFromObj(segment, &segmentNumBytes); + TclGetStringFromObj(segment, &segmentNumBytes); if (segmentNumBytes > limit) { if (allocSegment) { Tcl_DecrRefCount(segment); diff --git a/generic/tclTimer.c b/generic/tclTimer.c index c83b5f5..6d3938b 100644 --- a/generic/tclTimer.c +++ b/generic/tclTimer.c @@ -900,10 +900,10 @@ Tcl_AfterObjCmd( } else { commandPtr = Tcl_ConcatObj(objc-2, objv+2);; } - command = Tcl_GetStringFromObj(commandPtr, &length); + command = TclGetStringFromObj(commandPtr, &length); for (afterPtr = assocPtr->firstAfterPtr; afterPtr != NULL; afterPtr = afterPtr->nextPtr) { - tempCommand = Tcl_GetStringFromObj(afterPtr->commandPtr, + tempCommand = TclGetStringFromObj(afterPtr->commandPtr, &tempLength); if ((length == tempLength) && !memcmp(command, tempCommand, (unsigned) length)) { diff --git a/generic/tclTrace.c b/generic/tclTrace.c index 33e62b2..0c73cba 100644 --- a/generic/tclTrace.c +++ b/generic/tclTrace.c @@ -278,7 +278,7 @@ Tcl_TraceObjCmd( opsList = Tcl_NewObj(); Tcl_IncrRefCount(opsList); - flagOps = Tcl_GetStringFromObj(objv[3], &numFlags); + flagOps = TclGetStringFromObj(objv[3], &numFlags); if (numFlags == 0) { Tcl_DecrRefCount(opsList); goto badVarOps; @@ -462,7 +462,7 @@ TraceExecutionObjCmd( break; } } - command = Tcl_GetStringFromObj(objv[5], &commandLength); + command = TclGetStringFromObj(objv[5], &commandLength); length = (size_t) commandLength; if ((enum traceOptions) optionIndex == TRACE_ADD) { TraceCommandInfo *tcmdPtr = ckalloc( @@ -701,7 +701,7 @@ TraceCommandObjCmd( } } - command = Tcl_GetStringFromObj(objv[5], &commandLength); + command = TclGetStringFromObj(objv[5], &commandLength); length = (size_t) commandLength; if ((enum traceOptions) optionIndex == TRACE_ADD) { TraceCommandInfo *tcmdPtr = ckalloc( @@ -904,7 +904,7 @@ TraceVariableObjCmd( break; } } - command = Tcl_GetStringFromObj(objv[5], &commandLength); + command = TclGetStringFromObj(objv[5], &commandLength); length = (size_t) commandLength; if ((enum traceOptions) optionIndex == TRACE_ADD) { CombinedTraceVarInfo *ctvarPtr = ckalloc( diff --git a/generic/tclUtil.c b/generic/tclUtil.c index 553593c..f0c7f77 100644 --- a/generic/tclUtil.c +++ b/generic/tclUtil.c @@ -1968,7 +1968,7 @@ Tcl_ConcatObj( if (TclListObjIsCanonical(objPtr)) { continue; } - Tcl_GetStringFromObj(objPtr, &length); + TclGetStringFromObj(objPtr, &length); if (length > 0) { break; } @@ -2677,7 +2677,7 @@ TclDStringAppendObj( Tcl_Obj *objPtr) { int length; - char *bytes = Tcl_GetStringFromObj(objPtr, &length); + char *bytes = TclGetStringFromObj(objPtr, &length); return Tcl_DStringAppend(dsPtr, bytes, length); } @@ -4000,7 +4000,7 @@ TclSetProcessGlobalValue( } else { Tcl_CreateExitHandler(FreeProcessGlobalValue, pgvPtr); } - bytes = Tcl_GetStringFromObj(newValue, &pgvPtr->numBytes); + bytes = TclGetStringFromObj(newValue, &pgvPtr->numBytes); pgvPtr->value = ckalloc(pgvPtr->numBytes + 1); memcpy(pgvPtr->value, bytes, (unsigned) pgvPtr->numBytes + 1); if (pgvPtr->encoding) { diff --git a/generic/tclZlib.c b/generic/tclZlib.c index dac47cf..10fa4f7 100644 --- a/generic/tclZlib.c +++ b/generic/tclZlib.c @@ -438,7 +438,7 @@ GenerateHeader( if (GetValue(interp, dictObj, "comment", &value) != TCL_OK) { goto error; } else if (value != NULL) { - valueStr = Tcl_GetStringFromObj(value, &len); + valueStr = TclGetStringFromObj(value, &len); Tcl_UtfToExternal(NULL, latin1enc, valueStr, len, 0, NULL, headerPtr->nativeCommentBuf, MAX_COMMENT_LEN-1, NULL, &len, NULL); @@ -459,7 +459,7 @@ GenerateHeader( if (GetValue(interp, dictObj, "filename", &value) != TCL_OK) { goto error; } else if (value != NULL) { - valueStr = Tcl_GetStringFromObj(value, &len); + valueStr = TclGetStringFromObj(value, &len); Tcl_UtfToExternal(NULL, latin1enc, valueStr, len, 0, NULL, headerPtr->nativeFilenameBuf, MAXPATHLEN-1, NULL, &len, NULL); headerPtr->nativeFilenameBuf[len] = '\0'; @@ -3346,7 +3346,7 @@ ZlibTransformGetOption( } else { if (cd->compDictObj) { int len; - const char *str = Tcl_GetStringFromObj(cd->compDictObj, &len); + const char *str = TclGetStringFromObj(cd->compDictObj, &len); Tcl_DStringAppend(dsPtr, str, len); } diff --git a/macosx/tclMacOSXFCmd.c b/macosx/tclMacOSXFCmd.c index 7c643a3..946e350 100644 --- a/macosx/tclMacOSXFCmd.c +++ b/macosx/tclMacOSXFCmd.c @@ -640,7 +640,7 @@ SetOSTypeFromAny( Tcl_DString ds; Tcl_Encoding encoding = Tcl_GetEncoding(NULL, "macRoman"); - string = Tcl_GetStringFromObj(objPtr, &length); + string = TclGetStringFromObj(objPtr, &length); Tcl_UtfToExternalDString(encoding, string, length, &ds); if (Tcl_DStringLength(&ds) > 4) { diff --git a/unix/dltest/pkgua.c b/unix/dltest/pkgua.c index 6d95640..8634a5e 100644 --- a/unix/dltest/pkgua.c +++ b/unix/dltest/pkgua.c @@ -11,7 +11,6 @@ * this file, and for a DISCLAIMER OF ALL WARRANTIES. */ -#undef STATIC_BUILD #include "tcl.h" /* @@ -70,7 +69,7 @@ PkguaInterpToTokens( int newEntry; Tcl_Command *cmdTokens; Tcl_HashEntry *entryPtr = - Tcl_CreateHashEntry(&interpTokenMap, (char *) interp, &newEntry); + Tcl_CreateHashEntry(&interpTokenMap, interp, &newEntry); if (newEntry) { cmdTokens = (Tcl_Command *) @@ -90,7 +89,7 @@ PkguaDeleteTokens( Tcl_Interp *interp) { Tcl_HashEntry *entryPtr = - Tcl_FindHashEntry(&interpTokenMap, (char *) interp); + Tcl_FindHashEntry(&interpTokenMap, interp); if (entryPtr) { Tcl_Free((char *) Tcl_GetHashValue(entryPtr)); diff --git a/unix/tclUnixFCmd.c b/unix/tclUnixFCmd.c index a1a409e..4d38f8e 100644 --- a/unix/tclUnixFCmd.c +++ b/unix/tclUnixFCmd.c @@ -1509,7 +1509,7 @@ SetGroupAttribute( const char *string; int length; - string = Tcl_GetStringFromObj(attributePtr, &length); + string = TclGetStringFromObj(attributePtr, &length); native = Tcl_UtfToExternalDString(NULL, string, length, &ds); groupPtr = TclpGetGrNam(native); /* INTL: Native. */ @@ -1576,7 +1576,7 @@ SetOwnerAttribute( const char *string; int length; - string = Tcl_GetStringFromObj(attributePtr, &length); + string = TclGetStringFromObj(attributePtr, &length); native = Tcl_UtfToExternalDString(NULL, string, length, &ds); pwPtr = TclpGetPwNam(native); /* INTL: Native. */ @@ -1948,7 +1948,7 @@ TclpObjNormalizePath( const char *currentPathEndPosition; int pathLen; char cur; - const char *path = Tcl_GetStringFromObj(pathPtr, &pathLen); + const char *path = TclGetStringFromObj(pathPtr, &pathLen); Tcl_DString ds; const char *nativePath; #ifndef NO_REALPATH @@ -2184,7 +2184,7 @@ TclUnixOpenTemporaryFile( */ if (dirObj) { - string = Tcl_GetStringFromObj(dirObj, &len); + string = TclGetStringFromObj(dirObj, &len); Tcl_UtfToExternalDString(NULL, string, len, &template); } else { Tcl_DStringInit(&template); @@ -2194,7 +2194,7 @@ TclUnixOpenTemporaryFile( TclDStringAppendLiteral(&template, "/"); if (basenameObj) { - string = Tcl_GetStringFromObj(basenameObj, &len); + string = TclGetStringFromObj(basenameObj, &len); Tcl_UtfToExternalDString(NULL, string, len, &tmp); TclDStringAppendDString(&template, &tmp); Tcl_DStringFree(&tmp); @@ -2206,7 +2206,7 @@ TclUnixOpenTemporaryFile( #ifdef HAVE_MKSTEMPS if (extensionObj) { - string = Tcl_GetStringFromObj(extensionObj, &len); + string = TclGetStringFromObj(extensionObj, &len); Tcl_UtfToExternalDString(NULL, string, len, &tmp); TclDStringAppendDString(&template, &tmp); fd = mkstemps(Tcl_DStringValue(&template), Tcl_DStringLength(&tmp)); diff --git a/unix/tclUnixFile.c b/unix/tclUnixFile.c index 7ffbf8d..886b5ad 100644 --- a/unix/tclUnixFile.c +++ b/unix/tclUnixFile.c @@ -269,7 +269,7 @@ TclpMatchInDirectory( Tcl_DString dsOrig; /* utf-8 encoding of dir */ Tcl_DStringInit(&dsOrig); - dirName = Tcl_GetStringFromObj(fileNamePtr, &dirLength); + dirName = TclGetStringFromObj(fileNamePtr, &dirLength); Tcl_DStringAppend(&dsOrig, dirName, dirLength); /* @@ -951,7 +951,7 @@ TclpObjLink( if (transPtr == NULL) { return NULL; } - target = Tcl_GetStringFromObj(transPtr, &targetLen); + target = TclGetStringFromObj(transPtr, &targetLen); target = Tcl_UtfToExternalDString(NULL, target, targetLen, &ds); Tcl_DecrRefCount(transPtr); @@ -1105,7 +1105,7 @@ TclNativeCreateNativeRep( Tcl_IncrRefCount(validPathPtr); } - str = Tcl_GetStringFromObj(validPathPtr, &len); + str = TclGetStringFromObj(validPathPtr, &len); Tcl_UtfToExternalDString(NULL, str, len, &ds); len = Tcl_DStringLength(&ds) + sizeof(char); if (strlen(Tcl_DStringValue(&ds)) < len - sizeof(char)) { diff --git a/unix/tclUnixInit.c b/unix/tclUnixInit.c index aaff9ec..57215f1 100644 --- a/unix/tclUnixInit.c +++ b/unix/tclUnixInit.c @@ -550,7 +550,7 @@ TclpInitLibraryPath( Tcl_DStringFree(&buffer); *encodingPtr = Tcl_GetEncoding(NULL, NULL); - str = Tcl_GetStringFromObj(pathPtr, lengthPtr); + str = TclGetStringFromObj(pathPtr, lengthPtr); *valuePtr = ckalloc((*lengthPtr) + 1); memcpy(*valuePtr, str, (size_t)(*lengthPtr)+1); Tcl_DecrRefCount(pathPtr); diff --git a/win/tclWinFCmd.c b/win/tclWinFCmd.c index 52ea8c6..8904a05 100644 --- a/win/tclWinFCmd.c +++ b/win/tclWinFCmd.c @@ -1526,7 +1526,7 @@ GetWinFileAttributes( */ int len; - const char *str = Tcl_GetStringFromObj(fileName,&len); + const char *str = TclGetStringFromObj(fileName,&len); if (len < 4) { if (len == 0) { @@ -1615,7 +1615,7 @@ ConvertFileNameFormat( Tcl_ListObjIndex(NULL, splitPath, i, &elt); - pathv = Tcl_GetStringFromObj(elt, &pathLen); + pathv = TclGetStringFromObj(elt, &pathLen); if ((pathv[0] == '/') || ((pathLen == 3) && (pathv[1] == ':')) || (strcmp(pathv, ".") == 0) || (strcmp(pathv, "..") == 0)) { /* @@ -1653,7 +1653,7 @@ ConvertFileNameFormat( */ Tcl_DStringInit(&ds); - tempString = Tcl_GetStringFromObj(tempPath,&tempLen); + tempString = TclGetStringFromObj(tempPath,&tempLen); nativeName = Tcl_WinUtfToTChar(tempString, tempLen, &ds); Tcl_DecrRefCount(tempPath); handle = FindFirstFile(nativeName, &data); diff --git a/win/tclWinFile.c b/win/tclWinFile.c index 4b0b884..c840a46 100755 --- a/win/tclWinFile.c +++ b/win/tclWinFile.c @@ -935,7 +935,7 @@ TclpMatchInDirectory( int len; DWORD attr; WIN32_FILE_ATTRIBUTE_DATA data; - const char *str = Tcl_GetStringFromObj(norm,&len); + const char *str = TclGetStringFromObj(norm,&len); native = Tcl_FSGetNativePath(pathPtr); @@ -995,7 +995,7 @@ TclpMatchInDirectory( */ Tcl_DStringInit(&dsOrig); - dirName = Tcl_GetStringFromObj(fileNamePtr, &dirLength); + dirName = TclGetStringFromObj(fileNamePtr, &dirLength); Tcl_DStringAppend(&dsOrig, dirName, dirLength); lastChar = dirName[dirLength -1]; @@ -2689,7 +2689,7 @@ TclpObjNormalizePath( tmpPathPtr = Tcl_NewStringObj(Tcl_DStringValue(&ds), nextCheckpoint); Tcl_AppendToObj(tmpPathPtr, lastValidPathEnd, -1); - path = Tcl_GetStringFromObj(tmpPathPtr, &len); + path = TclGetStringFromObj(tmpPathPtr, &len); Tcl_SetStringObj(pathPtr, path, len); Tcl_DecrRefCount(tmpPathPtr); } else { @@ -2775,7 +2775,7 @@ TclWinVolumeRelativeNormalize( int cwdLen; const char *drive = - Tcl_GetStringFromObj(useThisCwd, &cwdLen); + TclGetStringFromObj(useThisCwd, &cwdLen); char drive_cur = path[0]; if (drive_cur >= 'a') { diff --git a/win/tclWinInit.c b/win/tclWinInit.c index 8b600f6..b5a07aa 100644 --- a/win/tclWinInit.c +++ b/win/tclWinInit.c @@ -214,7 +214,7 @@ TclpInitLibraryPath( TclGetProcessGlobalValue(&sourceLibraryDir)); *encodingPtr = NULL; - bytes = Tcl_GetStringFromObj(pathPtr, lengthPtr); + bytes = TclGetStringFromObj(pathPtr, lengthPtr); *valuePtr = ckalloc((*lengthPtr) + 1); memcpy(*valuePtr, bytes, (size_t)(*lengthPtr)+1); Tcl_DecrRefCount(pathPtr); -- cgit v0.12 From 71e7049f8ea65780583e847f2b3055b519395517 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 12 Jul 2016 13:44:26 +0000 Subject: Make hash type changable by compiling with -DTCL_HASH_TYPE=size_t (for example). Default (unsigned) cannot be changed in Tcl 8.x, that must wait until Tcl 9. --- doc/Hash.3 | 2 +- generic/tcl.h | 6 +++++- generic/tclHash.c | 12 ++++++------ generic/tclInt.h | 2 +- generic/tclObj.c | 4 ++-- 5 files changed, 15 insertions(+), 11 deletions(-) diff --git a/doc/Hash.3 b/doc/Hash.3 index 4dc3623..aa79b86 100644 --- a/doc/Hash.3 +++ b/doc/Hash.3 @@ -281,7 +281,7 @@ The \fIhashKeyProc\fR member contains the address of a function called to calculate a hash value for the key. .PP .CS -typedef unsigned int \fBTcl_HashKeyProc\fR( +typedef TCL_HASH_TYPE \fBTcl_HashKeyProc\fR( Tcl_HashTable *\fItablePtr\fR, void *\fIkeyPtr\fR); .CE diff --git a/generic/tcl.h b/generic/tcl.h index 6061ea8..ded8d0b 100644 --- a/generic/tcl.h +++ b/generic/tcl.h @@ -1157,11 +1157,15 @@ typedef struct Tcl_DString { * Forward declarations of Tcl_HashTable and related types. */ +#ifndef TCL_HASH_TYPE +# define TCL_HASH_TYPE unsigned +#endif + typedef struct Tcl_HashKeyType Tcl_HashKeyType; typedef struct Tcl_HashTable Tcl_HashTable; typedef struct Tcl_HashEntry Tcl_HashEntry; -typedef unsigned (Tcl_HashKeyProc) (Tcl_HashTable *tablePtr, void *keyPtr); +typedef TCL_HASH_TYPE (Tcl_HashKeyProc) (Tcl_HashTable *tablePtr, void *keyPtr); typedef int (Tcl_CompareHashKeysProc) (void *keyPtr, Tcl_HashEntry *hPtr); typedef Tcl_HashEntry * (Tcl_AllocHashEntryProc) (Tcl_HashTable *tablePtr, void *keyPtr); diff --git a/generic/tclHash.c b/generic/tclHash.c index 3ea9dd9..ac9d40e 100644 --- a/generic/tclHash.c +++ b/generic/tclHash.c @@ -43,7 +43,7 @@ static Tcl_HashEntry * AllocArrayEntry(Tcl_HashTable *tablePtr, void *keyPtr); static int CompareArrayKeys(void *keyPtr, Tcl_HashEntry *hPtr); -static unsigned int HashArrayKey(Tcl_HashTable *tablePtr, void *keyPtr); +static TCL_HASH_TYPE HashArrayKey(Tcl_HashTable *tablePtr, void *keyPtr); /* * Prototypes for the one word hash key methods. Not actually declared because @@ -65,7 +65,7 @@ static unsigned int HashOneWordKey(Tcl_HashTable *tablePtr, void *keyPtr); static Tcl_HashEntry * AllocStringEntry(Tcl_HashTable *tablePtr, void *keyPtr); static int CompareStringKeys(void *keyPtr, Tcl_HashEntry *hPtr); -static unsigned int HashStringKey(Tcl_HashTable *tablePtr, void *keyPtr); +static TCL_HASH_TYPE HashStringKey(Tcl_HashTable *tablePtr, void *keyPtr); /* * Function prototypes for static functions in this file: @@ -774,7 +774,7 @@ CompareArrayKeys( *---------------------------------------------------------------------- */ -static unsigned int +static TCL_HASH_TYPE HashArrayKey( Tcl_HashTable *tablePtr, /* Hash table. */ void *keyPtr) /* Key from which to compute hash value. */ @@ -787,7 +787,7 @@ HashArrayKey( count--, array++) { result += *array; } - return result; + return (TCL_HASH_TYPE) result; } /* @@ -870,7 +870,7 @@ CompareStringKeys( *---------------------------------------------------------------------- */ -static unsigned +static TCL_HASH_TYPE HashStringKey( Tcl_HashTable *tablePtr, /* Hash table. */ void *keyPtr) /* Key from which to compute hash value. */ @@ -916,7 +916,7 @@ HashStringKey( result += (result << 3) + UCHAR(c); } } - return result; + return (TCL_HASH_TYPE) result; } /* diff --git a/generic/tclInt.h b/generic/tclInt.h index c01b0c1..33476ed 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -3977,7 +3977,7 @@ MODULE_SCOPE int TclObjCallVarTraces(Interp *iPtr, Var *arrayPtr, MODULE_SCOPE int TclCompareObjKeys(void *keyPtr, Tcl_HashEntry *hPtr); MODULE_SCOPE void TclFreeObjEntry(Tcl_HashEntry *hPtr); -MODULE_SCOPE unsigned TclHashObjKey(Tcl_HashTable *tablePtr, void *keyPtr); +MODULE_SCOPE TCL_HASH_TYPE TclHashObjKey(Tcl_HashTable *tablePtr, void *keyPtr); MODULE_SCOPE int TclFullFinalizationRequested(void); diff --git a/generic/tclObj.c b/generic/tclObj.c index 776b034..0cd7839 100644 --- a/generic/tclObj.c +++ b/generic/tclObj.c @@ -4048,7 +4048,7 @@ TclFreeObjEntry( *---------------------------------------------------------------------- */ -unsigned int +TCL_HASH_TYPE TclHashObjKey( Tcl_HashTable *tablePtr, /* Hash table. */ void *keyPtr) /* Key from which to compute hash value. */ @@ -4098,7 +4098,7 @@ TclHashObjKey( result += (result << 3) + UCHAR(*++string); } } - return result; + return (TCL_HASH_TYPE) result; } /* -- cgit v0.12 From ab2a78be642be26075e2998347d71359a6b3c500 Mon Sep 17 00:00:00 2001 From: dgp Date: Wed, 13 Jul 2016 19:06:22 +0000 Subject: New private flag value INDEX_TEMP_TABLE. Used to signal to Tcl_GetIndexFromObj*() routines that the table in which lookups are done has a fleeting existence. Thus there is no value in caching any results, since the cache can never be useful. Improvement over existing hackery where cache is stored and then freed to avoid bogus results. Likely candidate to eventually push to the public interface. --- generic/tclFCmd.c | 10 ++-------- generic/tclIndexObj.c | 13 +++++++------ generic/tclInt.h | 9 +++++++++ 3 files changed, 18 insertions(+), 14 deletions(-) diff --git a/generic/tclFCmd.c b/generic/tclFCmd.c index bb814ea..80898fc 100644 --- a/generic/tclFCmd.c +++ b/generic/tclFCmd.c @@ -1079,12 +1079,9 @@ TclFileAttrsCmd( } if (Tcl_GetIndexFromObj(interp, objv[0], attributeStrings, - "option", 0, &index) != TCL_OK) { + "option", INDEX_TEMP_TABLE, &index) != TCL_OK) { goto end; } - if (attributeStringsAllocated != NULL) { - TclFreeIntRep(objv[0]); - } if (Tcl_FSFileAttrsGet(interp, index, filePtr, &objPtr) != TCL_OK) { goto end; @@ -1107,12 +1104,9 @@ TclFileAttrsCmd( for (i = 0; i < objc ; i += 2) { if (Tcl_GetIndexFromObj(interp, objv[i], attributeStrings, - "option", 0, &index) != TCL_OK) { + "option", INDEX_TEMP_TABLE, &index) != TCL_OK) { goto end; } - if (attributeStringsAllocated != NULL) { - TclFreeIntRep(objv[i]); - } if (i + 1 == objc) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( "value for \"%s\" missing", TclGetString(objv[i]))); diff --git a/generic/tclIndexObj.c b/generic/tclIndexObj.c index 2281d22..c6873af 100644 --- a/generic/tclIndexObj.c +++ b/generic/tclIndexObj.c @@ -114,6 +114,7 @@ Tcl_GetIndexFromObj( int flags, /* 0 or TCL_EXACT */ int *indexPtr) /* Place to store resulting integer index. */ { + if (!(flags & INDEX_TEMP_TABLE)) { /* * See if there is a valid cached result from a previous lookup (doing the @@ -135,6 +136,7 @@ Tcl_GetIndexFromObj( return TCL_OK; } } + } return Tcl_GetIndexFromObjStruct(interp, objPtr, tablePtr, sizeof(char *), msg, flags, indexPtr); } @@ -211,13 +213,8 @@ GetIndexFromObjList( tablePtr[objc] = NULL; result = Tcl_GetIndexFromObjStruct(interp, objPtr, tablePtr, - sizeof(char *), msg, flags, indexPtr); - - /* - * The internal rep must be cleared since tablePtr will go away. - */ + sizeof(char *), msg, flags | INDEX_TEMP_TABLE, indexPtr); - TclFreeIntRep(objPtr); ckfree(tablePtr); return result; @@ -279,6 +276,7 @@ Tcl_GetIndexFromObjStruct( * See if there is a valid cached result from a previous lookup. */ + if (!(flags & INDEX_TEMP_TABLE)) { if (objPtr->typePtr == &indexType) { indexRep = objPtr->internalRep.twoPtrValue.ptr1; if (indexRep->tablePtr==tablePtr && indexRep->offset==offset) { @@ -286,6 +284,7 @@ Tcl_GetIndexFromObjStruct( return TCL_OK; } } + } /* * Lookup the value of the object in the table. Accept unique @@ -340,6 +339,7 @@ Tcl_GetIndexFromObjStruct( * operation. */ + if (!(flags & INDEX_TEMP_TABLE)) { if (objPtr->typePtr == &indexType) { indexRep = objPtr->internalRep.twoPtrValue.ptr1; } else { @@ -351,6 +351,7 @@ Tcl_GetIndexFromObjStruct( indexRep->tablePtr = (void *) tablePtr; indexRep->offset = offset; indexRep->index = index; + } *indexPtr = index; return TCL_OK; diff --git a/generic/tclInt.h b/generic/tclInt.h index 33476ed..4ecac7d 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -2548,6 +2548,15 @@ typedef struct TclFileAttrProcs { } TclFileAttrProcs; /* + * Private flag value which controls Tcl_GetIndexFromObj*() routines + * to instruct them not to cache lookups because the table will not + * live long enough to make it worthwhile. Must not clash with public + * flag value TCL_EXACT. + */ + +#define INDEX_TEMP_TABLE 2 + +/* * Opaque handle used in pipeline routines to encapsulate platform-dependent * state. */ -- cgit v0.12 From b91a1c74a96cb667373be1fa8b3da13dc82d071d Mon Sep 17 00:00:00 2001 From: dkf Date: Thu, 14 Jul 2016 08:05:35 +0000 Subject: Tidy up some references to INDEX_TEMP_TABLE. --- generic/tclIndexObj.c | 31 +++++++++++++------------------ 1 file changed, 13 insertions(+), 18 deletions(-) diff --git a/generic/tclIndexObj.c b/generic/tclIndexObj.c index c6873af..6a3e4e3 100644 --- a/generic/tclIndexObj.c +++ b/generic/tclIndexObj.c @@ -114,15 +114,13 @@ Tcl_GetIndexFromObj( int flags, /* 0 or TCL_EXACT */ int *indexPtr) /* Place to store resulting integer index. */ { - if (!(flags & INDEX_TEMP_TABLE)) { - /* * See if there is a valid cached result from a previous lookup (doing the * check here saves the overhead of calling Tcl_GetIndexFromObjStruct in * the common case where the result is cached). */ - if (objPtr->typePtr == &indexType) { + if (!(flags & INDEX_TEMP_TABLE) && objPtr->typePtr == &indexType) { IndexRep *indexRep = objPtr->internalRep.twoPtrValue.ptr1; /* @@ -136,7 +134,6 @@ Tcl_GetIndexFromObj( return TCL_OK; } } - } return Tcl_GetIndexFromObjStruct(interp, objPtr, tablePtr, sizeof(char *), msg, flags, indexPtr); } @@ -276,15 +273,13 @@ Tcl_GetIndexFromObjStruct( * See if there is a valid cached result from a previous lookup. */ - if (!(flags & INDEX_TEMP_TABLE)) { - if (objPtr->typePtr == &indexType) { + if (!(flags & INDEX_TEMP_TABLE) && objPtr->typePtr == &indexType) { indexRep = objPtr->internalRep.twoPtrValue.ptr1; if (indexRep->tablePtr==tablePtr && indexRep->offset==offset) { *indexPtr = indexRep->index; return TCL_OK; } } - } /* * Lookup the value of the object in the table. Accept unique @@ -340,17 +335,17 @@ Tcl_GetIndexFromObjStruct( */ if (!(flags & INDEX_TEMP_TABLE)) { - if (objPtr->typePtr == &indexType) { - indexRep = objPtr->internalRep.twoPtrValue.ptr1; - } else { - TclFreeIntRep(objPtr); - indexRep = ckalloc(sizeof(IndexRep)); - objPtr->internalRep.twoPtrValue.ptr1 = indexRep; - objPtr->typePtr = &indexType; - } - indexRep->tablePtr = (void *) tablePtr; - indexRep->offset = offset; - indexRep->index = index; + if (objPtr->typePtr == &indexType) { + indexRep = objPtr->internalRep.twoPtrValue.ptr1; + } else { + TclFreeIntRep(objPtr); + indexRep = ckalloc(sizeof(IndexRep)); + objPtr->internalRep.twoPtrValue.ptr1 = indexRep; + objPtr->typePtr = &indexType; + } + indexRep->tablePtr = (void *) tablePtr; + indexRep->offset = offset; + indexRep->index = index; } *indexPtr = index; -- cgit v0.12 From 18d118050e87e9f2665c7da4358836e37dbd7a0f Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 14 Jul 2016 14:40:37 +0000 Subject: New test demonstrates memleak discovered by Rolf Ade. --- tests/var.test | 30 ++++++++++++++++++++++-------- 1 file changed, 22 insertions(+), 8 deletions(-) diff --git a/tests/var.test b/tests/var.test index e223f6e..803bbda 100644 --- a/tests/var.test +++ b/tests/var.test @@ -26,6 +26,21 @@ testConstraint testupvar [llength [info commands testupvar]] testConstraint testgetvarfullname [llength [info commands testgetvarfullname]] testConstraint testsetnoerr [llength [info commands testsetnoerr]] testConstraint memory [llength [info commands memory]] +if {[testConstraint memory]} { + proc getbytes {} { + return [lindex [split [memory info] \n] 3 3] + } + proc leaktest {script {iterations 3}} { + set end [getbytes] + for {set i 0} {$i < $iterations} {incr i} { + uplevel 1 $script + set tmp $end + set end [getbytes] + } + return [expr {$end - $tmp}] + } +} + catch {rename p ""} catch {namespace delete test_ns_var} @@ -912,9 +927,6 @@ test var-21.0 {PushVarNameWord OBOE in compiled unset} -setup { } -result 1 test var-22.0 {leak in array element unset: Bug a3309d01db} -setup { - proc getbytes {} { - lindex [split [memory info] \n] 3 3 - } proc doit k { variable A set A($k) {} @@ -934,13 +946,9 @@ test var-22.0 {leak in array element unset: Bug a3309d01db} -setup { set leakedBytes [expr {$end - $tmp}] } -cleanup { array unset A - rename getbytes {} rename doit {} } -result 0 test var-22.1 {leak in localVarName intrep: Bug 80304238ac} -setup { - proc getbytes {} { - lindex [split [memory info] \n] 3 3 - } proc doit {} { interp create slave slave eval { @@ -962,15 +970,21 @@ test var-22.1 {leak in localVarName intrep: Bug 80304238ac} -setup { set leakedBytes [expr {$end - $tmp}] } -cleanup { array unset A - rename getbytes {} rename doit {} } -result 0 +test var-22.2 {leak in parsedVarName} -constraints memory -body { + set i 0 + leaktest {lappend x($i)} +} -cleanup { + unset -nocomplain i x +} -result 0 catch {namespace delete ns} catch {unset arr} catch {unset v} +catch {rename getbytes ""} catch {rename p ""} catch {namespace delete test_ns_var} catch {namespace delete test_ns_var2} -- cgit v0.12 From 35eb3535af4c4a03667bbf2b4fcde538d5e875fe Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 14 Jul 2016 15:17:58 +0000 Subject: Plug memory leak created in recent variable Tcl_ObjType reform. --- generic/tclVar.c | 9 +-------- 1 file changed, 1 insertion(+), 8 deletions(-) diff --git a/generic/tclVar.c b/generic/tclVar.c index a9bedd7..091baf8 100644 --- a/generic/tclVar.c +++ b/generic/tclVar.c @@ -577,11 +577,7 @@ TclObjLookupVarEx( } return NULL; } - if ((part2Ptr = part1Ptr->internalRep.twoPtrValue.ptr2)) { - if (createPart2) { - Tcl_IncrRefCount(part2Ptr); - } - } + part2Ptr = part1Ptr->internalRep.twoPtrValue.ptr2; part1Ptr = part1Ptr->internalRep.twoPtrValue.ptr1; typePtr = part1Ptr->typePtr; if (typePtr == &localVarNameType) { @@ -622,9 +618,6 @@ TclObjLookupVarEx( len1 = i; part2Ptr = Tcl_NewStringObj(part2, len2); - if (createPart2) { - Tcl_IncrRefCount(part2Ptr); - } /* * Free the internal rep of the original part1Ptr, now renamed -- cgit v0.12 From 10f81d78ff4d5f5931412700726ce05d14d02fad Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 14 Jul 2016 17:58:45 +0000 Subject: Stop checking case that can never happen. --- generic/tclNamesp.c | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/generic/tclNamesp.c b/generic/tclNamesp.c index 5930859..1fef919 100644 --- a/generic/tclNamesp.c +++ b/generic/tclNamesp.c @@ -2883,9 +2883,9 @@ GetNamespaceFromObj( resNamePtr = objPtr->internalRep.twoPtrValue.ptr1; nsPtr = resNamePtr->nsPtr; refNsPtr = resNamePtr->refNsPtr; - if (!(nsPtr->flags & NS_DYING) && (interp == nsPtr->interp) && - (!refNsPtr || ((interp == refNsPtr->interp) && - (refNsPtr== (Namespace *) Tcl_GetCurrentNamespace(interp))))){ + if (!(nsPtr->flags & NS_DYING) && (interp == nsPtr->interp) + && (!refNsPtr || (refNsPtr == + (Namespace *) TclGetCurrentNamespace(interp)))) { *nsPtrPtr = (Tcl_Namespace *) nsPtr; return TCL_OK; } @@ -4779,7 +4779,7 @@ SetNsNameFromAny( if ((name[0] == ':') && (name[1] == ':')) { resNamePtr->refNsPtr = NULL; } else { - resNamePtr->refNsPtr = (Namespace *) Tcl_GetCurrentNamespace(interp); + resNamePtr->refNsPtr = (Namespace *) TclGetCurrentNamespace(interp); } resNamePtr->refCount = 1; TclFreeIntRep(objPtr); -- cgit v0.12 From b136b0307e6b079262352c8541c019519fb34f6e Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 15 Jul 2016 02:33:11 +0000 Subject: One of the validity checks for the "cmdName" type is to see if the resolved command has been deleted by checking for the CMD_IS_DELETED flag. Only one thing sets this flag -- Tcl_DeleteCommandFromToken(), and every time it sets that flag it also bumps the cmdEpoch of the Command as well. The "cmdName" type is already validating that epoch. It gains nothing to be checking the CMD_IS_DELETED flag too. Eliminated the pointless test. --- generic/tclObj.c | 1 - 1 file changed, 1 deletion(-) diff --git a/generic/tclObj.c b/generic/tclObj.c index 0cd7839..8aaf78e 100644 --- a/generic/tclObj.c +++ b/generic/tclObj.c @@ -4156,7 +4156,6 @@ Tcl_GetCommandFromObj( register Command *cmdPtr = resPtr->cmdPtr; if ((cmdPtr->cmdEpoch == resPtr->cmdEpoch) - && !(cmdPtr->flags & CMD_IS_DELETED) && (interp == cmdPtr->nsPtr->interp) && !(cmdPtr->nsPtr->flags & NS_DYING)) { register Namespace *refNsPtr = (Namespace *) -- cgit v0.12 From 059c3bec3a774772ceff7fc2fcc5c7bf690ab8cf Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 15 Jul 2016 12:36:33 +0000 Subject: Stop using the tclCmdNameType to store failed command lookups. If we don't find a command, there's nothing to store, so better not to shimmer at all. --- generic/tclObj.c | 25 +++++++++++-------------- 1 file changed, 11 insertions(+), 14 deletions(-) diff --git a/generic/tclObj.c b/generic/tclObj.c index 8aaf78e..e335ac3 100644 --- a/generic/tclObj.c +++ b/generic/tclObj.c @@ -4152,7 +4152,7 @@ Tcl_GetCommandFromObj( */ resPtr = objPtr->internalRep.twoPtrValue.ptr1; - if ((objPtr->typePtr == &tclCmdNameType) && (resPtr != NULL)) { + if (objPtr->typePtr == &tclCmdNameType) { register Command *cmdPtr = resPtr->cmdPtr; if ((cmdPtr->cmdEpoch == resPtr->cmdEpoch) @@ -4281,7 +4281,6 @@ FreeCmdNameInternalRep( { register ResolvedCmdName *resPtr = objPtr->internalRep.twoPtrValue.ptr1; - if (resPtr != NULL) { /* * Decrement the reference count of the ResolvedCmdName structure. If * there are no more uses, free the ResolvedCmdName structure. @@ -4299,7 +4298,6 @@ FreeCmdNameInternalRep( TclCleanupCommandMacro(cmdPtr); ckfree(resPtr); } - } objPtr->typePtr = NULL; } @@ -4332,9 +4330,7 @@ DupCmdNameInternalRep( copyPtr->internalRep.twoPtrValue.ptr1 = resPtr; copyPtr->internalRep.twoPtrValue.ptr2 = NULL; - if (resPtr != NULL) { resPtr->refCount++; - } copyPtr->typePtr = &tclCmdNameType; } @@ -4387,16 +4383,23 @@ SetCmdNameFromAny( Tcl_FindCommand(interp, name, /*ns*/ NULL, /*flags*/ 0); /* + * Stop shimmering and caching nothing when we found nothing. Just + * report the failure to find the command as an error. + */ + + if (cmdPtr == NULL) { + return TCL_ERROR; + } + + /* * Free the old internalRep before setting the new one. Do this after * getting the string rep to allow the conversion code (in particular, * Tcl_GetStringFromObj) to use that old internalRep. */ - if (cmdPtr) { cmdPtr->refCount++; resPtr = objPtr->internalRep.twoPtrValue.ptr1; - if ((objPtr->typePtr == &tclCmdNameType) - && resPtr && (resPtr->refCount == 1)) { + if ((objPtr->typePtr == &tclCmdNameType) && (resPtr->refCount == 1)) { /* * Reuse the old ResolvedCmdName struct instead of freeing it */ @@ -4434,12 +4437,6 @@ SetCmdNameFromAny( resPtr->refNsId = currNsPtr->nsId; resPtr->refNsCmdEpoch = currNsPtr->cmdRefEpoch; } - } else { - TclFreeIntRep(objPtr); - objPtr->internalRep.twoPtrValue.ptr1 = NULL; - objPtr->internalRep.twoPtrValue.ptr2 = NULL; - objPtr->typePtr = &tclCmdNameType; - } return TCL_OK; } -- cgit v0.12 From ed70e9d86101ea6352b6623c9ca09ef68749abd9 Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 15 Jul 2016 14:19:07 +0000 Subject: Factor the cmdName intrep setting code into common utility routine. --- generic/tclObj.c | 138 +++++++++++++++++++++++++------------------------------ 1 file changed, 63 insertions(+), 75 deletions(-) diff --git a/generic/tclObj.c b/generic/tclObj.c index e335ac3..b145d7e 100644 --- a/generic/tclObj.c +++ b/generic/tclObj.c @@ -4203,54 +4203,73 @@ Tcl_GetCommandFromObj( *---------------------------------------------------------------------- */ -void -TclSetCmdNameObj( - Tcl_Interp *interp, /* Points to interpreter containing command - * that should be cached in objPtr. */ - register Tcl_Obj *objPtr, /* Points to Tcl object to be changed to a - * CmdName object. */ - Command *cmdPtr) /* Points to Command structure that the - * CmdName object should refer to. */ +static void +SetCmdNameObj( + Tcl_Interp *interp, + Tcl_Obj *objPtr, + Command *cmdPtr, + ResolvedCmdName *resPtr) { Interp *iPtr = (Interp *) interp; - register ResolvedCmdName *resPtr; - register Namespace *currNsPtr; - const char *name; + ResolvedCmdName *fillPtr; + const char *name = TclGetString(objPtr); - if (objPtr->typePtr == &tclCmdNameType) { - return; + if (resPtr) { + fillPtr = resPtr; + } else { + fillPtr = ckalloc(sizeof(ResolvedCmdName)); + fillPtr->refCount = 1; } + fillPtr->cmdPtr = cmdPtr; cmdPtr->refCount++; - resPtr = ckalloc(sizeof(ResolvedCmdName)); - resPtr->cmdPtr = cmdPtr; - resPtr->cmdEpoch = cmdPtr->cmdEpoch; - resPtr->refCount = 1; + fillPtr->cmdEpoch = cmdPtr->cmdEpoch; - name = TclGetString(objPtr); - if ((*name++ == ':') && (*name == ':')) { + /* NOTE: relying on NULL termination here. */ + if ((name[0] == ':') && (name[1] == ':')) { /* - * The name is fully qualified: set the referring namespace to - * NULL. + * Fully qualified names always resolve to same thing. No need + * to record resolution context information. */ - resPtr->refNsPtr = NULL; + fillPtr->refNsPtr = NULL; + fillPtr->refNsId = 0; /* Will not be read */ + fillPtr->refNsCmdEpoch = 0; /* Will not be read */ } else { /* - * Get the current namespace. + * Record current state of current namespace as the resolution + * context of this command name lookup. */ + Namespace *currNsPtr = iPtr->varFramePtr->nsPtr; - currNsPtr = iPtr->varFramePtr->nsPtr; + fillPtr->refNsPtr = currNsPtr; + fillPtr->refNsId = currNsPtr->nsId; + fillPtr->refNsCmdEpoch = currNsPtr->cmdRefEpoch; + } - resPtr->refNsPtr = currNsPtr; - resPtr->refNsId = currNsPtr->nsId; - resPtr->refNsCmdEpoch = currNsPtr->cmdRefEpoch; + if (resPtr == NULL) { + TclFreeIntRep(objPtr); + + objPtr->internalRep.twoPtrValue.ptr1 = fillPtr; + objPtr->internalRep.twoPtrValue.ptr2 = NULL; + objPtr->typePtr = &tclCmdNameType; } +} - TclFreeIntRep(objPtr); - objPtr->internalRep.twoPtrValue.ptr1 = resPtr; - objPtr->internalRep.twoPtrValue.ptr2 = NULL; - objPtr->typePtr = &tclCmdNameType; +void +TclSetCmdNameObj( + Tcl_Interp *interp, /* Points to interpreter containing command + * that should be cached in objPtr. */ + register Tcl_Obj *objPtr, /* Points to Tcl object to be changed to a + * CmdName object. */ + Command *cmdPtr) /* Points to Command structure that the + * CmdName object should refer to. */ +{ + if (objPtr->typePtr == &tclCmdNameType) { + return; + } + + SetCmdNameObj(interp, objPtr, cmdPtr, NULL); } /* @@ -4360,10 +4379,8 @@ SetCmdNameFromAny( Tcl_Interp *interp, /* Used for error reporting if not NULL. */ register Tcl_Obj *objPtr) /* The object to convert. */ { - Interp *iPtr = (Interp *) interp; const char *name; register Command *cmdPtr; - Namespace *currNsPtr; register ResolvedCmdName *resPtr; if (interp == NULL) { @@ -4391,52 +4408,23 @@ SetCmdNameFromAny( return TCL_ERROR; } - /* - * Free the old internalRep before setting the new one. Do this after - * getting the string rep to allow the conversion code (in particular, - * Tcl_GetStringFromObj) to use that old internalRep. - */ - - cmdPtr->refCount++; - resPtr = objPtr->internalRep.twoPtrValue.ptr1; - if ((objPtr->typePtr == &tclCmdNameType) && (resPtr->refCount == 1)) { - /* - * Reuse the old ResolvedCmdName struct instead of freeing it - */ + resPtr = objPtr->internalRep.twoPtrValue.ptr1; + if ((objPtr->typePtr == &tclCmdNameType) && (resPtr->refCount == 1)) { + /* + * Re-use existing ResolvedCmdName struct when possible. + * Cleanup the old fields that need it. + */ - Command *oldCmdPtr = resPtr->cmdPtr; + Command *oldCmdPtr = resPtr->cmdPtr; - if (--oldCmdPtr->refCount == 0) { - TclCleanupCommandMacro(oldCmdPtr); - } - } else { - TclFreeIntRep(objPtr); - resPtr = ckalloc(sizeof(ResolvedCmdName)); - resPtr->refCount = 1; - objPtr->internalRep.twoPtrValue.ptr1 = resPtr; - objPtr->internalRep.twoPtrValue.ptr2 = NULL; - objPtr->typePtr = &tclCmdNameType; + if (--oldCmdPtr->refCount == 0) { + TclCleanupCommandMacro(oldCmdPtr); } - resPtr->cmdPtr = cmdPtr; - resPtr->cmdEpoch = cmdPtr->cmdEpoch; - if ((*name++ == ':') && (*name == ':')) { - /* - * The name is fully qualified: set the referring namespace to - * NULL. - */ - - resPtr->refNsPtr = NULL; - } else { - /* - * Get the current namespace. - */ - - currNsPtr = iPtr->varFramePtr->nsPtr; + } else { + resPtr = NULL; + } - resPtr->refNsPtr = currNsPtr; - resPtr->refNsId = currNsPtr->nsId; - resPtr->refNsCmdEpoch = currNsPtr->cmdRefEpoch; - } + SetCmdNameObj(interp, objPtr, cmdPtr, resPtr); return TCL_OK; } -- cgit v0.12 From 9cc388df3d06570e47d68f284a74f4fa26b45426 Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 15 Jul 2016 14:20:34 +0000 Subject: Remove unmaintained disabled speculative code. Such things are for branches and history. --- generic/tclProc.c | 24 ------------------------ 1 file changed, 24 deletions(-) diff --git a/generic/tclProc.c b/generic/tclProc.c index 81d3b25..bed520a 100644 --- a/generic/tclProc.c +++ b/generic/tclProc.c @@ -2654,30 +2654,6 @@ TclNRApplyObjCmd( procPtr = lambdaPtr->internalRep.twoPtrValue.ptr1; } -#define JOE_EXTENSION 0 -/* - * Note: this code is NOT FUNCTIONAL due to the NR implementation; DO NOT - * ENABLE! Leaving here as reminder to (a) TIP the suggestion, and (b) adapt - * the code. (MS) - */ - -#if JOE_EXTENSION - else { - /* - * Joe English's suggestion to allow cmdNames to function as lambdas. - */ - - Tcl_Obj *elemPtr; - int numElem; - - if ((lambdaPtr->typePtr == &tclCmdNameType) || - (TclListObjGetElements(interp, lambdaPtr, &numElem, - &elemPtr) == TCL_OK && numElem == 1)) { - return Tcl_EvalObjv(interp, objc-1, objv+1, 0); - } - } -#endif - if ((procPtr == NULL) || (procPtr->iPtr != iPtr)) { result = SetLambdaFromAny(interp, lambdaPtr); if (result != TCL_OK) { -- cgit v0.12 From 883ca7abcd437926de756a838f60e7574f111881 Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 19 Jul 2016 19:31:28 +0000 Subject: [0363f0146c] Fix [array startsearch] id handling to support var name variations --- generic/tclInt.h | 1 - generic/tclObj.c | 1 - generic/tclVar.c | 171 ++++++++++--------------------------------------------- 3 files changed, 31 insertions(+), 142 deletions(-) diff --git a/generic/tclInt.h b/generic/tclInt.h index 4ecac7d..b39c8ea 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -2707,7 +2707,6 @@ MODULE_SCOPE const Tcl_ObjType tclListType; MODULE_SCOPE const Tcl_ObjType tclDictType; MODULE_SCOPE const Tcl_ObjType tclProcBodyType; MODULE_SCOPE const Tcl_ObjType tclStringType; -MODULE_SCOPE const Tcl_ObjType tclArraySearchType; MODULE_SCOPE const Tcl_ObjType tclEnsembleCmdType; #ifndef TCL_WIDE_INT_IS_LONG MODULE_SCOPE const Tcl_ObjType tclWideIntType; diff --git a/generic/tclObj.c b/generic/tclObj.c index b145d7e..df17f13 100644 --- a/generic/tclObj.c +++ b/generic/tclObj.c @@ -402,7 +402,6 @@ TclInitObjSubsystem(void) Tcl_RegisterObjType(&tclListType); Tcl_RegisterObjType(&tclDictType); Tcl_RegisterObjType(&tclByteCodeType); - Tcl_RegisterObjType(&tclArraySearchType); Tcl_RegisterObjType(&tclCmdNameType); Tcl_RegisterObjType(&tclRegexpType); Tcl_RegisterObjType(&tclProcBodyType); diff --git a/generic/tclVar.c b/generic/tclVar.c index 091baf8..a4f1ec5 100644 --- a/generic/tclVar.c +++ b/generic/tclVar.c @@ -149,6 +149,7 @@ static const char *isArrayElement = */ typedef struct ArraySearch { + Tcl_Obj *name; /* Name of this search */ int id; /* Integer id used to distinguish among * multiple concurrent searches for the same * array. */ @@ -188,8 +189,6 @@ static ArraySearch * ParseSearchId(Tcl_Interp *interp, const Var *varPtr, static void UnsetVarStruct(Var *varPtr, Var *arrayPtr, Interp *iPtr, Tcl_Obj *part1Ptr, Tcl_Obj *part2Ptr, int flags, int index); -static int SetArraySearchObj(Tcl_Interp *interp, - Tcl_Obj *objPtr); /* * Functions defined in this file that may be exported in the future for use @@ -235,22 +234,6 @@ static const Tcl_ObjType tclParsedVarNameType = { FreeParsedVarName, DupParsedVarName, NULL, NULL }; -/* - * Type of Tcl_Objs used to speed up array searches. - * - * INTERNALREP DEFINITION: - * twoPtrValue.ptr1: searchIdNumber (cast to pointer) - * twoPtrValue.ptr2: variableNameStartInString (cast to pointer) - * - * Note that the value stored in ptr2 is the offset into the string of the - * start of the variable name and not the address of the variable name itself, - * as this can be safely copied. - */ - -const Tcl_ObjType tclArraySearchType = { - "array search", - NULL, NULL, NULL, SetArraySearchObj -}; Var * TclVarHashCreateVar( @@ -2966,8 +2949,9 @@ ArrayStartSearchCmd( searchPtr->nextEntry = VarHashFirstEntry(varPtr->value.tablePtr, &searchPtr->search); Tcl_SetHashValue(hPtr, searchPtr); - Tcl_SetObjResult(interp, - Tcl_ObjPrintf("s-%d-%s", searchPtr->id, varName)); + searchPtr->name = Tcl_ObjPrintf("s-%d-%s", searchPtr->id, varName); + Tcl_IncrRefCount(searchPtr->name); + Tcl_SetObjResult(interp, searchPtr->name); return TCL_OK; } @@ -3291,6 +3275,7 @@ ArrayDoneSearchCmd( } } } + Tcl_DecrRefCount(searchPtr->name); ckfree(searchPtr); return TCL_OK; } @@ -4930,75 +4915,6 @@ Tcl_UpvarObjCmd( /* *---------------------------------------------------------------------- * - * SetArraySearchObj -- - * - * This function converts the given tcl object into one that has the - * "array search" internal type. - * - * Results: - * TCL_OK if the conversion succeeded, and TCL_ERROR if it failed (when - * an error message will be placed in the interpreter's result.) - * - * Side effects: - * Updates the internal type and representation of the object to make - * this an array-search object. See the tclArraySearchType declaration - * above for details of the internal representation. - * - *---------------------------------------------------------------------- - */ - -static int -SetArraySearchObj( - Tcl_Interp *interp, - Tcl_Obj *objPtr) -{ - const char *string; - char *end; /* Can't be const due to strtoul defn. */ - int id; - size_t offset; - - /* - * Get the string representation. Make it up-to-date if necessary. - */ - - string = TclGetString(objPtr); - - /* - * Parse the id into the three parts separated by dashes. - */ - - if ((string[0] != 's') || (string[1] != '-')) { - goto syntax; - } - id = strtoul(string+2, &end, 10); - if ((end == (string+2)) || (*end != '-')) { - goto syntax; - } - - /* - * Can't perform value check in this context, so place reference to place - * in string to use for the check in the object instead. - */ - - end++; - offset = end - string; - - TclFreeIntRep(objPtr); - objPtr->typePtr = &tclArraySearchType; - objPtr->internalRep.twoPtrValue.ptr1 = INT2PTR(id); - objPtr->internalRep.twoPtrValue.ptr2 = INT2PTR(offset); - return TCL_OK; - - syntax: - Tcl_SetObjResult(interp, Tcl_ObjPrintf( - "illegal search identifier \"%s\"", string)); - Tcl_SetErrorCode(interp, "TCL", "LOOKUP", "ARRAYSEARCH", string, NULL); - return TCL_ERROR; -} - -/* - *---------------------------------------------------------------------- - * * ParseSearchId -- * * This function translates from a tcl object to a pointer to an active @@ -5009,10 +4925,6 @@ SetArraySearchObj( * or NULL if there isn't one. If NULL is returned, the interp's result * contains an error message. * - * Side effects: - * The tcl object might have its internal type and representation - * modified. - * *---------------------------------------------------------------------- */ @@ -5028,65 +4940,43 @@ ParseSearchId( * name. */ { Interp *iPtr = (Interp *) interp; - register const char *string; - register size_t offset; - int id; ArraySearch *searchPtr; - const char *varName = TclGetString(varNamePtr); - - /* - * Parse the id. - */ - - if ((handleObj->typePtr != &tclArraySearchType) - && (SetArraySearchObj(interp, handleObj) != TCL_OK)) { - return NULL; - } - - /* - * Extract the information out of the Tcl_Obj. - */ - - id = PTR2INT(handleObj->internalRep.twoPtrValue.ptr1); - string = TclGetString(handleObj); - offset = PTR2INT(handleObj->internalRep.twoPtrValue.ptr2); - - /* - * This test cannot be placed inside the Tcl_Obj machinery, since it is - * dependent on the variable context. - */ - - if (strcmp(string+offset, varName) != 0) { - Tcl_SetObjResult(interp, Tcl_ObjPrintf( - "search identifier \"%s\" isn't for variable \"%s\"", - string, varName)); - goto badLookup; - } - - /* - * Search through the list of active searches on the interpreter to see if - * the desired one exists. - * - * Note that we cannot store the searchPtr directly in the Tcl_Obj as that - * would run into trouble when DeleteSearches() was called so we must scan - * this list every time. - */ + const char *handle = TclGetString(handleObj); + char *end; if (varPtr->flags & VAR_SEARCH_ACTIVE) { Tcl_HashEntry *hPtr = Tcl_FindHashEntry(&iPtr->varSearches, varPtr); + /* First look for same (Tcl_Obj *) */ for (searchPtr = Tcl_GetHashValue(hPtr); searchPtr != NULL; searchPtr = searchPtr->nextPtr) { - if (searchPtr->id == id) { + if (searchPtr->name == handleObj) { return searchPtr; } } + /* Fallback: do string compares. */ + for (searchPtr = Tcl_GetHashValue(hPtr); searchPtr != NULL; + searchPtr = searchPtr->nextPtr) { + if (strcmp(TclGetString(searchPtr->name), handle) == 0) { + return searchPtr; + } + } + } + if ((handle[0] != 's') || (handle[1] != '-') + || (strtoul(handle + 2, &end, 10), end == (handle + 2)) + || (*end != '-')) { + Tcl_SetObjResult(interp, Tcl_ObjPrintf( + "illegal search identifier \"%s\"", handle)); + } else if (strcmp(end + 1, TclGetString(varNamePtr)) != 0) { + Tcl_SetObjResult(interp, Tcl_ObjPrintf( + "search identifier \"%s\" isn't for variable \"%s\"", + handle, TclGetString(varNamePtr))); + } else { + Tcl_SetObjResult(interp, Tcl_ObjPrintf( + "couldn't find search \"%s\"", handle)); } - Tcl_SetObjResult(interp, Tcl_ObjPrintf( - "couldn't find search \"%s\"", string)); - badLookup: - Tcl_SetErrorCode(interp, "TCL", "LOOKUP", "ARRAYSEARCH", string, NULL); + Tcl_SetErrorCode(interp, "TCL", "LOOKUP", "ARRAYSEARCH", handle, NULL); return NULL; } @@ -5121,6 +5011,7 @@ DeleteSearches( for (searchPtr = Tcl_GetHashValue(sPtr); searchPtr != NULL; searchPtr = nextPtr) { nextPtr = searchPtr->nextPtr; + Tcl_DecrRefCount(searchPtr->name); ckfree(searchPtr); } arrayVarPtr->flags &= ~VAR_SEARCH_ACTIVE; -- cgit v0.12 From 27f4a98be411aa6878d45e7e86e5c90cf2208c92 Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 19 Jul 2016 19:33:35 +0000 Subject: "array search" is no longer a registered Tcl_ObjType. --- tests/obj.test | 1 - 1 file changed, 1 deletion(-) diff --git a/tests/obj.test b/tests/obj.test index 7bf00f7..a8d2d20 100644 --- a/tests/obj.test +++ b/tests/obj.test @@ -26,7 +26,6 @@ testConstraint wideBiggerThanInt [expr {wide(0x80000000) != int(0x80000000)}] test obj-1.1 {Tcl_AppendAllObjTypes, and InitTypeTable, Tcl_RegisterObjType} testobj { set r 1 foreach {t} { - {array search} bytearray bytecode cmdName -- cgit v0.12 From c235e3492b4494286cee64ae3a29ff161c62a821 Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 19 Jul 2016 20:40:27 +0000 Subject: Factor out common prologue. --- generic/tclVar.c | 176 +++++++++++++++---------------------------------------- 1 file changed, 48 insertions(+), 128 deletions(-) diff --git a/generic/tclVar.c b/generic/tclVar.c index 1d08832..56c5a05 100644 --- a/generic/tclVar.c +++ b/generic/tclVar.c @@ -189,6 +189,7 @@ static ArraySearch * ParseSearchId(Tcl_Interp *interp, const Var *varPtr, static void UnsetVarStruct(Var *varPtr, Var *arrayPtr, Interp *iPtr, Tcl_Obj *part1Ptr, Tcl_Obj *part2Ptr, int flags, int index); +static Var * VerifyArray(Tcl_Interp *interp, Tcl_Obj *varNameObj); /* * Functions defined in this file that may be exported in the future for use @@ -2870,34 +2871,22 @@ TclArraySet( */ /* ARGSUSED */ -static int -ArrayStartSearchCmd( - ClientData clientData, + +static Var * +VerifyArray( Tcl_Interp *interp, - int objc, - Tcl_Obj *const objv[]) + Tcl_Obj *varNameObj) { Interp *iPtr = (Interp *) interp; - Var *varPtr, *arrayPtr; - Tcl_HashEntry *hPtr; - Tcl_Obj *varNameObj; - int isNew; - ArraySearch *searchPtr; - const char *varName; - - if (objc != 2) { - Tcl_WrongNumArgs(interp, 1, objv, "arrayName"); - return TCL_ERROR; - } - varNameObj = objv[1]; + const char *varName = TclGetString(varNameObj); + Var *arrayPtr; /* * Locate the array variable. */ - varPtr = TclObjLookupVarEx(interp, varNameObj, NULL, /*flags*/ 0, + Var *varPtr = TclObjLookupVarEx(interp, varNameObj, NULL, /*flags*/ 0, /*msg*/ 0, /*createPart1*/ 0, /*createPart2*/ 0, &arrayPtr); - varName = TclGetString(varNameObj); /* * Special array trace used to keep the env array in sync for array names, @@ -2909,7 +2898,7 @@ ArrayStartSearchCmd( if (TclObjCallVarTraces(iPtr, arrayPtr, varPtr, varNameObj, NULL, (TCL_LEAVE_ERR_MSG|TCL_NAMESPACE_ONLY|TCL_GLOBAL_ONLY| TCL_TRACE_ARRAY), /* leaveErrMsg */ 1, -1) == TCL_ERROR) { - return TCL_ERROR; + return NULL; } } @@ -2919,11 +2908,36 @@ ArrayStartSearchCmd( * traces. */ - if ((varPtr == NULL) || !TclIsVarArray(varPtr) - || TclIsVarUndefined(varPtr)) { + if ((varPtr == NULL) || !TclIsVarArray(varPtr) || TclIsVarUndefined(varPtr)) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( "\"%s\" isn't an array", varName)); Tcl_SetErrorCode(interp, "TCL", "LOOKUP", "ARRAY", varName, NULL); + return NULL; + } + + return varPtr; +} + +static int +ArrayStartSearchCmd( + ClientData clientData, + Tcl_Interp *interp, + int objc, + Tcl_Obj *const objv[]) +{ + Interp *iPtr = (Interp *) interp; + Var *varPtr; + Tcl_HashEntry *hPtr; + int isNew; + ArraySearch *searchPtr; + + if (objc != 2) { + Tcl_WrongNumArgs(interp, 1, objv, "arrayName"); + return TCL_ERROR; + } + + varPtr = VerifyArray(interp, objv[1]); + if (varPtr == NULL) { return TCL_ERROR; } @@ -2945,7 +2959,7 @@ ArrayStartSearchCmd( searchPtr->nextEntry = VarHashFirstEntry(varPtr->value.tablePtr, &searchPtr->search); Tcl_SetHashValue(hPtr, searchPtr); - searchPtr->name = Tcl_ObjPrintf("s-%d-%s", searchPtr->id, varName); + searchPtr->name = Tcl_ObjPrintf("s-%d-%s", searchPtr->id, TclGetString(objv[1])); Tcl_IncrRefCount(searchPtr->name); Tcl_SetObjResult(interp, searchPtr->name); return TCL_OK; @@ -2977,7 +2991,7 @@ ArrayAnyMoreCmd( Tcl_Obj *const objv[]) { Interp *iPtr = (Interp *) interp; - Var *varPtr, *arrayPtr; + Var *varPtr; Tcl_Obj *varNameObj, *searchObj; int gotValue; ArraySearch *searchPtr; @@ -2989,42 +3003,11 @@ ArrayAnyMoreCmd( varNameObj = objv[1]; searchObj = objv[2]; - /* - * Locate the array variable. - */ - - varPtr = TclObjLookupVarEx(interp, varNameObj, NULL, /*flags*/ 0, - /*msg*/ 0, /*createPart1*/ 0, /*createPart2*/ 0, &arrayPtr); - - /* - * Special array trace used to keep the env array in sync for array names, - * array get, etc. - */ - - if (varPtr && (varPtr->flags & VAR_TRACED_ARRAY) - && (TclIsVarArray(varPtr) || TclIsVarUndefined(varPtr))) { - if (TclObjCallVarTraces(iPtr, arrayPtr, varPtr, varNameObj, NULL, - (TCL_LEAVE_ERR_MSG|TCL_NAMESPACE_ONLY|TCL_GLOBAL_ONLY| - TCL_TRACE_ARRAY), /* leaveErrMsg */ 1, -1) == TCL_ERROR) { - return TCL_ERROR; - } - } - - /* - * Verify that it is indeed an array variable. This test comes after the - * traces - the variable may actually become an array as an effect of said - * traces. - */ - - if ((varPtr == NULL) || !TclIsVarArray(varPtr) - || TclIsVarUndefined(varPtr)) { - Tcl_SetObjResult(interp, Tcl_ObjPrintf( - "\"%s\" isn't an array", TclGetString(varNameObj))); - Tcl_SetErrorCode(interp, "TCL", "LOOKUP", "ARRAY", - TclGetString(varNameObj), NULL); + varPtr = VerifyArray(interp, varNameObj); + if (varPtr == NULL) { return TCL_ERROR; } - + /* * Get the search. */ @@ -3083,8 +3066,7 @@ ArrayNextElementCmd( int objc, Tcl_Obj *const objv[]) { - Interp *iPtr = (Interp *) interp; - Var *varPtr, *arrayPtr; + Var *varPtr; Tcl_Obj *varNameObj, *searchObj; ArraySearch *searchPtr; @@ -3095,41 +3077,10 @@ ArrayNextElementCmd( varNameObj = objv[1]; searchObj = objv[2]; - /* - * Locate the array variable. - */ - - varPtr = TclObjLookupVarEx(interp, varNameObj, NULL, /*flags*/ 0, - /*msg*/ 0, /*createPart1*/ 0, /*createPart2*/ 0, &arrayPtr); - - /* - * Special array trace used to keep the env array in sync for array names, - * array get, etc. - */ - - if (varPtr && (varPtr->flags & VAR_TRACED_ARRAY) - && (TclIsVarArray(varPtr) || TclIsVarUndefined(varPtr))) { - if (TclObjCallVarTraces(iPtr, arrayPtr, varPtr, varNameObj, NULL, - (TCL_LEAVE_ERR_MSG|TCL_NAMESPACE_ONLY|TCL_GLOBAL_ONLY| - TCL_TRACE_ARRAY), /* leaveErrMsg */ 1, -1) == TCL_ERROR) { - return TCL_ERROR; - } - } - - /* - * Verify that it is indeed an array variable. This test comes after the - * traces - the variable may actually become an array as an effect of said - * traces. - */ - - if ((varPtr == NULL) || !TclIsVarArray(varPtr) - || TclIsVarUndefined(varPtr)) { - Tcl_SetObjResult(interp, Tcl_ObjPrintf( - "\"%s\" isn't an array", TclGetString(varNameObj))); - Tcl_SetErrorCode(interp, "TCL", "LOOKUP", "ARRAY", - TclGetString(varNameObj), NULL); + varPtr = VerifyArray(interp, varNameObj); + if (varPtr == NULL) { return TCL_ERROR; - } + } /* * Get the search. @@ -3193,7 +3144,7 @@ ArrayDoneSearchCmd( Tcl_Obj *const objv[]) { Interp *iPtr = (Interp *) interp; - Var *varPtr, *arrayPtr; + Var *varPtr; Tcl_HashEntry *hPtr; Tcl_Obj *varNameObj, *searchObj; ArraySearch *searchPtr, *prevPtr; @@ -3205,39 +3156,8 @@ ArrayDoneSearchCmd( varNameObj = objv[1]; searchObj = objv[2]; - /* - * Locate the array variable. - */ - - varPtr = TclObjLookupVarEx(interp, varNameObj, NULL, /*flags*/ 0, - /*msg*/ 0, /*createPart1*/ 0, /*createPart2*/ 0, &arrayPtr); - - /* - * Special array trace used to keep the env array in sync for array names, - * array get, etc. - */ - - if (varPtr && (varPtr->flags & VAR_TRACED_ARRAY) - && (TclIsVarArray(varPtr) || TclIsVarUndefined(varPtr))) { - if (TclObjCallVarTraces(iPtr, arrayPtr, varPtr, varNameObj, NULL, - (TCL_LEAVE_ERR_MSG|TCL_NAMESPACE_ONLY|TCL_GLOBAL_ONLY| - TCL_TRACE_ARRAY), /* leaveErrMsg */ 1, -1) == TCL_ERROR) { - return TCL_ERROR; - } - } - - /* - * Verify that it is indeed an array variable. This test comes after the - * traces - the variable may actually become an array as an effect of said - * traces. - */ - - if ((varPtr == NULL) || !TclIsVarArray(varPtr) - || TclIsVarUndefined(varPtr)) { - Tcl_SetObjResult(interp, Tcl_ObjPrintf( - "\"%s\" isn't an array", TclGetString(varNameObj))); - Tcl_SetErrorCode(interp, "TCL", "LOOKUP", "ARRAY", - TclGetString(varNameObj), NULL); + varPtr = VerifyArray(interp, varNameObj); + if (varPtr == NULL) { return TCL_ERROR; } -- cgit v0.12 From fcf66a8c31f5c02f6b8337c822d21e55c07df7f6 Mon Sep 17 00:00:00 2001 From: dgp Date: Wed, 20 Jul 2016 15:43:08 +0000 Subject: Use the new private flag INDEX_TEMP_TABLE in testing command too. --- generic/tclTestObj.c | 18 ++---------------- 1 file changed, 2 insertions(+), 16 deletions(-) diff --git a/generic/tclTestObj.c b/generic/tclTestObj.c index a637498..6053ae3 100644 --- a/generic/tclTestObj.c +++ b/generic/tclTestObj.c @@ -577,23 +577,9 @@ TestindexobjCmd( } argv[objc-4] = NULL; - /* - * Tcl_GetIndexFromObj assumes that the table is statically-allocated so - * that its address is different for each index object. If we accidently - * allocate a table at the same address as that cached in the index - * object, clear out the object's cached state. - */ - - if (objv[3]->typePtr != NULL - && !strcmp("index", objv[3]->typePtr->name)) { - indexRep = objv[3]->internalRep.twoPtrValue.ptr1; - if (indexRep->tablePtr == (void *) argv) { - TclFreeIntRep(objv[3]); - } - } - result = Tcl_GetIndexFromObj((setError? interp : NULL), objv[3], - argv, "token", (allowAbbrev? 0 : TCL_EXACT), &index); + argv, "token", INDEX_TEMP_TABLE|(allowAbbrev? 0 : TCL_EXACT), + &index); ckfree(argv); if (result == TCL_OK) { Tcl_SetIntObj(Tcl_GetObjResult(interp), index); -- cgit v0.12 From 1eff5acecce7c6cae25d692ba941f02c9961dc74 Mon Sep 17 00:00:00 2001 From: dgp Date: Wed, 20 Jul 2016 16:32:16 +0000 Subject: Use strchr() to parse array variable syntax. --- generic/tclVar.c | 58 +++++++++++++++----------------------------------------- 1 file changed, 15 insertions(+), 43 deletions(-) diff --git a/generic/tclVar.c b/generic/tclVar.c index 56c5a05..20fce82 100644 --- a/generic/tclVar.c +++ b/generic/tclVar.c @@ -504,9 +504,8 @@ TclObjLookupVarEx( register Var *varPtr; /* Points to the variable's in-frame Var * structure. */ const char *part1; - int index, len1, len2; + int index, len; int parsed = 0; - Tcl_Obj *objPtr; const Tcl_ObjType *typePtr = part1Ptr->typePtr; const char *errMsg = NULL; CallFrame *varFramePtr = iPtr->varFramePtr; @@ -566,18 +565,17 @@ TclObjLookupVarEx( } parsed = 1; } - part1 = TclGetStringFromObj(part1Ptr, &len1); + part1 = TclGetStringFromObj(part1Ptr, &len); - if (!parsed && len1 && (*(part1 + len1 - 1) == ')')) { + if (!parsed && len && (*(part1 + len - 1) == ')')) { /* * part1Ptr is possibly an unparsed array element. */ - register int i; + part2 = strchr(part1, '('); + if (part2) { + Tcl_Obj *arrayPtr; - len2 = -1; - for (i = 0; i < len1; i++) { - if (*(part1 + i) == '(') { if (part2Ptr != NULL) { if (flags & TCL_LEAVE_ERR_MSG) { TclObjVarErrMsg(interp, part1Ptr, part2Ptr, msg, @@ -588,44 +586,18 @@ TclObjLookupVarEx( return NULL; } - /* - * part1Ptr points to an array element; first copy the element - * name to a new string part2. - */ - - part2 = part1 + i + 1; - len2 = len1 - i - 2; - len1 = i; - - part2Ptr = Tcl_NewStringObj(part2, len2); - - /* - * Free the internal rep of the original part1Ptr, now renamed - * objPtr, and set it to tclParsedVarNameType. - */ + arrayPtr = Tcl_NewStringObj(part1, (part2 - part1)); + part2Ptr = Tcl_NewStringObj(part2 + 1, len - (part2 - part1) - 2); - objPtr = part1Ptr; - TclFreeIntRep(objPtr); - objPtr->typePtr = &tclParsedVarNameType; + TclFreeIntRep(part1Ptr); - /* - * Define a new string object to hold the new part1Ptr, i.e., - * the array name. Set the internal rep of objPtr, reset - * typePtr and part1 to contain the references to the array - * name. - */ - - TclNewStringObj(part1Ptr, part1, len1); - Tcl_IncrRefCount(part1Ptr); - - objPtr->internalRep.twoPtrValue.ptr1 = part1Ptr; - Tcl_IncrRefCount(part2Ptr); - objPtr->internalRep.twoPtrValue.ptr2 = part2Ptr; + Tcl_IncrRefCount(arrayPtr); + part1Ptr->internalRep.twoPtrValue.ptr1 = arrayPtr; + Tcl_IncrRefCount(part2Ptr); + part1Ptr->internalRep.twoPtrValue.ptr2 = part2Ptr; + part1Ptr->typePtr = &tclParsedVarNameType; - typePtr = part1Ptr->typePtr; - part1 = TclGetString(part1Ptr); - break; - } + part1Ptr = arrayPtr; } } -- cgit v0.12 From a7a2c2e589efa82857ba0a2526acede975aa89d0 Mon Sep 17 00:00:00 2001 From: dgp Date: Wed, 20 Jul 2016 17:39:04 +0000 Subject: Streamline TclObjLookupVarEx --- generic/tclVar.c | 32 ++++++++++++++++++-------------- 1 file changed, 18 insertions(+), 14 deletions(-) diff --git a/generic/tclVar.c b/generic/tclVar.c index 20fce82..55eb436 100644 --- a/generic/tclVar.c +++ b/generic/tclVar.c @@ -501,15 +501,13 @@ TclObjLookupVarEx( * is set to NULL. */ { Interp *iPtr = (Interp *) interp; + CallFrame *varFramePtr = iPtr->varFramePtr; register Var *varPtr; /* Points to the variable's in-frame Var * structure. */ - const char *part1; - int index, len; - int parsed = 0; - const Tcl_ObjType *typePtr = part1Ptr->typePtr; const char *errMsg = NULL; - CallFrame *varFramePtr = iPtr->varFramePtr; - const char *part2 = part2Ptr? TclGetString(part2Ptr):NULL; + int index, parsed = 0; + const Tcl_ObjType *typePtr = part1Ptr->typePtr; + *arrayPtrPtr = NULL; if (typePtr == &localVarNameType) { @@ -525,7 +523,7 @@ TclObjLookupVarEx( */ Tcl_Obj *namePtr = part1Ptr->internalRep.twoPtrValue.ptr1; - Tcl_Obj *checkNamePtr = localName(iPtr->varFramePtr, localIndex); + Tcl_Obj *checkNamePtr = localName(varFramePtr, localIndex); if ((!namePtr && (checkNamePtr == part1Ptr)) || (namePtr && (checkNamePtr == namePtr))) { @@ -565,15 +563,21 @@ TclObjLookupVarEx( } parsed = 1; } - part1 = TclGetStringFromObj(part1Ptr, &len); - if (!parsed && len && (*(part1 + len - 1) == ')')) { + if (!parsed) { + /* * part1Ptr is possibly an unparsed array element. */ - part2 = strchr(part1, '('); - if (part2) { + int len; + const char *part1 = TclGetStringFromObj(part1Ptr, &len); + + if (len > 1 && (part1[len - 1] == ')')) { + + const char *part2 = strchr(part1, '('); + + if (part2) { Tcl_Obj *arrayPtr; if (part2Ptr != NULL) { @@ -598,6 +602,7 @@ TclObjLookupVarEx( part1Ptr->typePtr = &tclParsedVarNameType; part1Ptr = arrayPtr; + } } } @@ -607,8 +612,6 @@ TclObjLookupVarEx( * the cached types if possible. */ - TclFreeIntRep(part1Ptr); - varPtr = TclLookupSimpleVar(interp, part1Ptr, flags, createPart1, &errMsg, &index); if (varPtr == NULL) { @@ -624,11 +627,12 @@ TclObjLookupVarEx( * Cache the newly found variable if possible. */ + TclFreeIntRep(part1Ptr); if (index >= 0) { /* * An indexed local variable. */ - Tcl_Obj *cachedNamePtr = localName(iPtr->varFramePtr, index); + Tcl_Obj *cachedNamePtr = localName(varFramePtr, index); part1Ptr->typePtr = &localVarNameType; if (part1Ptr != cachedNamePtr) { -- cgit v0.12 From 5ad954783e49a00f738e29083586df9f8c9411e0 Mon Sep 17 00:00:00 2001 From: dgp Date: Wed, 20 Jul 2016 20:39:16 +0000 Subject: Stop internals intrusion into lists. --- generic/tclExecute.c | 21 ++++----------------- 1 file changed, 4 insertions(+), 17 deletions(-) diff --git a/generic/tclExecute.c b/generic/tclExecute.c index f1205b0..a2a465a 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -5283,23 +5283,10 @@ TEBCresume( toIdx = objc-1; } if (fromIdx == 0 && toIdx != objc-1 && !Tcl_IsShared(valuePtr)) { - /* - * BEWARE! This is looking inside the implementation of the - * list type. - */ - - List *listPtr = valuePtr->internalRep.twoPtrValue.ptr1; - - if (listPtr->refCount == 1) { - for (index=toIdx+1; indexelemCount = toIdx+1; - listPtr->canonicalFlag = 1; - TclInvalidateStringRep(valuePtr); - TRACE_APPEND(("%.30s\n", O2S(valuePtr))); - NEXT_INST_F(9, 0, 0); - } + Tcl_ListObjReplace(interp, valuePtr, + toIdx + 1, LIST_MAX, 0, NULL); + TRACE_APPEND(("%.30s\n", O2S(valuePtr))); + NEXT_INST_F(9, 0, 0); } objResultPtr = Tcl_NewListObj(toIdx-fromIdx+1, objv+fromIdx); } else { -- cgit v0.12 From fc743498e7623e7cefbe124ef936d30de91e3625 Mon Sep 17 00:00:00 2001 From: dgp Date: Wed, 7 Sep 2016 18:31:58 +0000 Subject: Attempt to fix [7f02ff1efa]. Make trace-18.1 fail. Suspect test is an experiment that preserves the bug. --- generic/tclNamesp.c | 20 +++++++------------- generic/tclVar.c | 49 +++++++++++++++++++++++++++++++++---------------- 2 files changed, 40 insertions(+), 29 deletions(-) diff --git a/generic/tclNamesp.c b/generic/tclNamesp.c index 7f6ecf5..74dfaf8 100644 --- a/generic/tclNamesp.c +++ b/generic/tclNamesp.c @@ -382,19 +382,6 @@ Tcl_PopCallFrame( register CallFrame *framePtr = iPtr->framePtr; Namespace *nsPtr; - /* - * It's important to remove the call frame from the interpreter's stack of - * call frames before deleting local variables, so that traces invoked by - * the variable deletion don't see the partially-deleted frame. - */ - - if (framePtr->callerPtr) { - iPtr->framePtr = framePtr->callerPtr; - iPtr->varFramePtr = framePtr->callerVarPtr; - } else { - /* Tcl_PopCallFrame: trying to pop rootCallFrame! */ - } - if (framePtr->varTablePtr != NULL) { TclDeleteVars(iPtr, framePtr->varTablePtr); ckfree(framePtr->varTablePtr); @@ -422,6 +409,13 @@ Tcl_PopCallFrame( } framePtr->nsPtr = NULL; + if (framePtr->callerPtr) { + iPtr->framePtr = framePtr->callerPtr; + iPtr->varFramePtr = framePtr->callerVarPtr; + } else { + /* Tcl_PopCallFrame: trying to pop rootCallFrame! */ + } + if (framePtr->tailcallPtr) { TclSetTailcall(interp, framePtr->tailcallPtr); } diff --git a/generic/tclVar.c b/generic/tclVar.c index 48e09f6..0b371ee 100644 --- a/generic/tclVar.c +++ b/generic/tclVar.c @@ -5032,27 +5032,44 @@ TclDeleteVars( TclVarHashTable *tablePtr) /* Hash table containing variables to * delete. */ { - Tcl_Interp *interp = (Tcl_Interp *) iPtr; Tcl_HashSearch search; register Var *varPtr; - int flags; - Namespace *currNsPtr = (Namespace *) TclGetCurrentNamespace(interp); - - /* - * Determine what flags to pass to the trace callback functions. - */ - - flags = TCL_TRACE_UNSETS; - if (tablePtr == &iPtr->globalNsPtr->varTable) { - flags |= TCL_GLOBAL_ONLY; - } else if (tablePtr == &currNsPtr->varTable) { - flags |= TCL_NAMESPACE_ONLY; - } for (varPtr = VarHashFirstVar(tablePtr, &search); varPtr != NULL; varPtr = VarHashFirstVar(tablePtr, &search)) { - UnsetVarStruct(varPtr, NULL, iPtr, VarHashGetKey(varPtr), NULL, flags, - -1); + VarHashRefCount(varPtr)++; + + UnsetVarStruct(varPtr, NULL, iPtr, VarHashGetKey(varPtr), + NULL, TCL_TRACE_UNSETS, -1); + + if (TclIsVarTraced(varPtr)) { + Tcl_HashEntry *tPtr = Tcl_FindHashEntry(&iPtr->varTraces, varPtr); + VarTrace *tracePtr = Tcl_GetHashValue(tPtr); + ActiveVarTrace *activePtr; + + while (tracePtr) { + VarTrace *prevPtr = tracePtr; + + tracePtr = tracePtr->nextPtr; + prevPtr->nextPtr = NULL; + Tcl_EventuallyFree(prevPtr, TCL_DYNAMIC); + } + Tcl_DeleteHashEntry(tPtr); + varPtr->flags &= ~VAR_ALL_TRACES; + for (activePtr = iPtr->activeVarTracePtr; activePtr != NULL; + activePtr = activePtr->nextPtr) { + if (activePtr->varPtr == varPtr) { + activePtr->nextTracePtr = NULL; + } + } + } + + if (!TclIsVarUndefined(varPtr)) { + UnsetVarStruct(varPtr, NULL, iPtr, VarHashGetKey(varPtr), + NULL, TCL_TRACE_UNSETS, -1); + } + + VarHashRefCount(varPtr)--; VarHashDeleteEntry(varPtr); } VarHashDeleteTable(tablePtr); -- cgit v0.12 From 69e6c8e2f7cc9c7cd816bb7acfe52c7b4556e4cb Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 8 Sep 2016 02:34:37 +0000 Subject: New test trace-18.5 for the bug. Updated trace-18.1 which was tuned to it. --- tests/trace.test | 23 ++++++++++++++++++++++- 1 file changed, 22 insertions(+), 1 deletion(-) diff --git a/tests/trace.test b/tests/trace.test index 1099f48..3b69d38 100644 --- a/tests/trace.test +++ b/tests/trace.test @@ -1227,7 +1227,7 @@ test trace-17.3 {traced variables must survive procedure exits} { test trace-18.1 {unset traces on procedure returns} { proc p1 {x y} {set a 44; p2 14} - proc p2 {z} {trace add variable z unset {traceCheck {lsort [uplevel 1 {info vars}]}}} + proc p2 {z} {trace add variable z unset {traceCheck {lsort [uplevel 2 {info vars}]}}} set info {} p1 foo bar set info @@ -1263,6 +1263,27 @@ test trace-18.4 {namespace delete / trace vdelete combo, Bug \#1338280} { rename doTrace {} set info } 1110 +test trace-18.5 {Bug 7f02ff1efa} -setup { + proc constant {name value} { + upvar 1 $name c + set c $value + trace variable c wu [list reset $value] + } + proc reset {v a i o} { + uplevel 1 [list constant $a $v] + } + proc demo {} { + constant pi 3.14 + } +} -body { + unset -nocomplain pi + demo + info exists pi +} -cleanup { + rename demo {} + rename reset {} + rename constant {} +} -result 0 # Delete arrays when done, so they can be re-used as scalars # elsewhere. -- cgit v0.12 From 768ec09104da815f43907bc6c3f829d03d4d4fc9 Mon Sep 17 00:00:00 2001 From: gahr Date: Fri, 9 Sep 2016 07:28:45 +0000 Subject: Remove unnecessary use of fpsetround. See https://bugs.freebsd.org/212512 --- unix/tclUnixInit.c | 8 -------- 1 file changed, 8 deletions(-) diff --git a/unix/tclUnixInit.c b/unix/tclUnixInit.c index 57215f1..91fb986 100644 --- a/unix/tclUnixInit.c +++ b/unix/tclUnixInit.c @@ -391,14 +391,6 @@ TclpInitPlatform(void) #endif /* SIGPIPE */ #if defined(__FreeBSD__) && defined(__GNUC__) - /* - * Adjust the rounding mode to be more conventional. Note that FreeBSD - * only provides the __fpsetreg() used by the following two for the GNU - * Compiler. When using, say, Intel's icc they break. (Partially based on - * patch in BSD ports system from root@celsius.bychok.com) - */ - - fpsetround(FP_RN); (void) fpsetmask(0L); #endif -- cgit v0.12 From f26a4a0948cbd769519cf1e79ea027511051b2bd Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 9 Sep 2016 12:36:53 +0000 Subject: Revert b98ee56376. The "bug" fixed was documented behavior. --- generic/tclNamesp.c | 20 +++++++++++++------- generic/tclVar.c | 49 ++++++++++++++++--------------------------------- tests/trace.test | 23 +---------------------- 3 files changed, 30 insertions(+), 62 deletions(-) diff --git a/generic/tclNamesp.c b/generic/tclNamesp.c index 74dfaf8..7f6ecf5 100644 --- a/generic/tclNamesp.c +++ b/generic/tclNamesp.c @@ -382,6 +382,19 @@ Tcl_PopCallFrame( register CallFrame *framePtr = iPtr->framePtr; Namespace *nsPtr; + /* + * It's important to remove the call frame from the interpreter's stack of + * call frames before deleting local variables, so that traces invoked by + * the variable deletion don't see the partially-deleted frame. + */ + + if (framePtr->callerPtr) { + iPtr->framePtr = framePtr->callerPtr; + iPtr->varFramePtr = framePtr->callerVarPtr; + } else { + /* Tcl_PopCallFrame: trying to pop rootCallFrame! */ + } + if (framePtr->varTablePtr != NULL) { TclDeleteVars(iPtr, framePtr->varTablePtr); ckfree(framePtr->varTablePtr); @@ -409,13 +422,6 @@ Tcl_PopCallFrame( } framePtr->nsPtr = NULL; - if (framePtr->callerPtr) { - iPtr->framePtr = framePtr->callerPtr; - iPtr->varFramePtr = framePtr->callerVarPtr; - } else { - /* Tcl_PopCallFrame: trying to pop rootCallFrame! */ - } - if (framePtr->tailcallPtr) { TclSetTailcall(interp, framePtr->tailcallPtr); } diff --git a/generic/tclVar.c b/generic/tclVar.c index 0b371ee..48e09f6 100644 --- a/generic/tclVar.c +++ b/generic/tclVar.c @@ -5032,44 +5032,27 @@ TclDeleteVars( TclVarHashTable *tablePtr) /* Hash table containing variables to * delete. */ { + Tcl_Interp *interp = (Tcl_Interp *) iPtr; Tcl_HashSearch search; register Var *varPtr; + int flags; + Namespace *currNsPtr = (Namespace *) TclGetCurrentNamespace(interp); - for (varPtr = VarHashFirstVar(tablePtr, &search); varPtr != NULL; - varPtr = VarHashFirstVar(tablePtr, &search)) { - VarHashRefCount(varPtr)++; - - UnsetVarStruct(varPtr, NULL, iPtr, VarHashGetKey(varPtr), - NULL, TCL_TRACE_UNSETS, -1); - - if (TclIsVarTraced(varPtr)) { - Tcl_HashEntry *tPtr = Tcl_FindHashEntry(&iPtr->varTraces, varPtr); - VarTrace *tracePtr = Tcl_GetHashValue(tPtr); - ActiveVarTrace *activePtr; - - while (tracePtr) { - VarTrace *prevPtr = tracePtr; - - tracePtr = tracePtr->nextPtr; - prevPtr->nextPtr = NULL; - Tcl_EventuallyFree(prevPtr, TCL_DYNAMIC); - } - Tcl_DeleteHashEntry(tPtr); - varPtr->flags &= ~VAR_ALL_TRACES; - for (activePtr = iPtr->activeVarTracePtr; activePtr != NULL; - activePtr = activePtr->nextPtr) { - if (activePtr->varPtr == varPtr) { - activePtr->nextTracePtr = NULL; - } - } - } + /* + * Determine what flags to pass to the trace callback functions. + */ - if (!TclIsVarUndefined(varPtr)) { - UnsetVarStruct(varPtr, NULL, iPtr, VarHashGetKey(varPtr), - NULL, TCL_TRACE_UNSETS, -1); - } + flags = TCL_TRACE_UNSETS; + if (tablePtr == &iPtr->globalNsPtr->varTable) { + flags |= TCL_GLOBAL_ONLY; + } else if (tablePtr == &currNsPtr->varTable) { + flags |= TCL_NAMESPACE_ONLY; + } - VarHashRefCount(varPtr)--; + for (varPtr = VarHashFirstVar(tablePtr, &search); varPtr != NULL; + varPtr = VarHashFirstVar(tablePtr, &search)) { + UnsetVarStruct(varPtr, NULL, iPtr, VarHashGetKey(varPtr), NULL, flags, + -1); VarHashDeleteEntry(varPtr); } VarHashDeleteTable(tablePtr); diff --git a/tests/trace.test b/tests/trace.test index 3b69d38..1099f48 100644 --- a/tests/trace.test +++ b/tests/trace.test @@ -1227,7 +1227,7 @@ test trace-17.3 {traced variables must survive procedure exits} { test trace-18.1 {unset traces on procedure returns} { proc p1 {x y} {set a 44; p2 14} - proc p2 {z} {trace add variable z unset {traceCheck {lsort [uplevel 2 {info vars}]}}} + proc p2 {z} {trace add variable z unset {traceCheck {lsort [uplevel 1 {info vars}]}}} set info {} p1 foo bar set info @@ -1263,27 +1263,6 @@ test trace-18.4 {namespace delete / trace vdelete combo, Bug \#1338280} { rename doTrace {} set info } 1110 -test trace-18.5 {Bug 7f02ff1efa} -setup { - proc constant {name value} { - upvar 1 $name c - set c $value - trace variable c wu [list reset $value] - } - proc reset {v a i o} { - uplevel 1 [list constant $a $v] - } - proc demo {} { - constant pi 3.14 - } -} -body { - unset -nocomplain pi - demo - info exists pi -} -cleanup { - rename demo {} - rename reset {} - rename constant {} -} -result 0 # Delete arrays when done, so they can be re-used as scalars # elsewhere. -- cgit v0.12 From 93b5865bd7cf7a93bd9c8aa6719edba1101992f2 Mon Sep 17 00:00:00 2001 From: gahr Date: Tue, 27 Sep 2016 20:06:49 +0000 Subject: [4d5ae7d88a] Restore default-to-error logic in TcpConnect --- unix/tclUnixSock.c | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/unix/tclUnixSock.c b/unix/tclUnixSock.c index 8167077..3942df8 100644 --- a/unix/tclUnixSock.c +++ b/unix/tclUnixSock.c @@ -1098,7 +1098,7 @@ TcpConnect( { socklen_t optlen; int async_callback = statePtr->flags & TCP_ASYNC_PENDING; - int ret = -1, error = errno; + int ret = -1, error = EHOSTUNREACH; int async = statePtr->flags & TCP_ASYNC_CONNECT; if (async_callback) { -- cgit v0.12 From 0bb135c827e61a652002b80bbdd7fdb07861cfbe Mon Sep 17 00:00:00 2001 From: pooryorick Date: Mon, 3 Oct 2016 01:10:16 +0000 Subject: Fix [2bf561854c55a], interp alias to command whose name is the empty string. --- generic/tclInterp.c | 11 +++-------- tests/interp.test | 11 +++++++++++ 2 files changed, 14 insertions(+), 8 deletions(-) diff --git a/generic/tclInterp.c b/generic/tclInterp.c index a2de658..1bfe76a 100644 --- a/generic/tclInterp.c +++ b/generic/tclInterp.c @@ -660,14 +660,9 @@ NRInterpCmd( if (masterInterp == NULL) { return TCL_ERROR; } - if (TclGetString(objv[5])[0] == '\0') { - if (objc == 6) { - return AliasDelete(interp, slaveInterp, objv[3]); - } - } else { - return AliasCreate(interp, slaveInterp, masterInterp, objv[3], - objv[5], objc - 6, objv + 6); - } + + return AliasCreate(interp, slaveInterp, masterInterp, objv[3], + objv[5], objc - 6, objv + 6); } goto aliasArgs; } diff --git a/tests/interp.test b/tests/interp.test index 34b5bf9..ed76f1a 100644 --- a/tests/interp.test +++ b/tests/interp.test @@ -606,6 +606,17 @@ test interp-14.10 {testing interp-alias: error messages} -setup { invoked from within "a 1"} +test interp-14.11 {{interp alias} {target named the empty string} {bug 2bf56185}} -setup { + set interp [interp create [info cmdcount]] + interp eval $interp { + proc {} args {return $args} + } + +} -body { + interp alias {} p1 $interp {} + p1 one two three +} -result {one two three} + # part 15: testing file sharing test interp-15.1 {testing file sharing} { catch {interp delete z} -- cgit v0.12 From 2735ae8a8f3cd9a14778858d17f195bf54fc3303 Mon Sep 17 00:00:00 2001 From: pooryorick Date: Mon, 3 Oct 2016 16:49:58 +0000 Subject: Fix documentation of [expr] operators, replacing "divisor" with "dividend" --- doc/expr.n | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/doc/expr.n b/doc/expr.n index b76b6a2..e25515d 100644 --- a/doc/expr.n +++ b/doc/expr.n @@ -133,15 +133,15 @@ Exponentiation. Valid for any numeric operands. Multiply, divide, remainder. None of these operators may be applied to string operands, and remainder may be applied only to integers. -The remainder will always have the same sign as the divisor and +The remainder always has the same sign as the divisor and an absolute value smaller than the absolute value of the divisor. .RS .PP When applied to integers, the division and remainder operators can be considered to partition the number line into a sequence of equal-sized adjacent non-overlapping pieces where each piece is the size of the divisor; -the division result identifies which piece the divisor lay within, and the -remainder result identifies where within that piece the divisor lay. A +the division result identifies which piece the dividend lies within, and the +remainder result identifies where within that piece the dividend lies. A consequence of this is that the result of .QW "-57 \fB/\fR 10" is always -6, and the result of -- cgit v0.12 From 5b377a6192b167ec34c088deab0eed8aa80253bb Mon Sep 17 00:00:00 2001 From: max Date: Tue, 4 Oct 2016 13:31:49 +0000 Subject: When opening a server socket on an ephemeral port, make sure that the port number that gets picked for IPv4 is also available on IPv6. If not, start all over for up to ten times to find a port number that is available on both protocols. --- unix/tclUnixSock.c | 39 ++++++++++++++++++++++++++++++++++++++- 1 file changed, 38 insertions(+), 1 deletion(-) diff --git a/unix/tclUnixSock.c b/unix/tclUnixSock.c index 8167077..f7bd0be 100644 --- a/unix/tclUnixSock.c +++ b/unix/tclUnixSock.c @@ -1429,7 +1429,7 @@ Tcl_OpenTcpServer( * clients. */ ClientData acceptProcData) /* Data for the callback. */ { - int status = 0, sock = -1, reuseaddr = 1, chosenport = 0; + int status = 0, sock = -1, reuseaddr = 1, chosenport; struct addrinfo *addrlist = NULL, *addrPtr; /* socket address */ TcpState *statePtr = NULL; char channelName[SOCK_CHAN_LENGTH]; @@ -1444,6 +1444,37 @@ Tcl_OpenTcpServer( enum { LOOKUP, SOCKET, BIND, LISTEN } howfar = LOOKUP; int my_errno = 0; + /* + * If we were called with port 0 to listen on a random port number, we + * copy the port number from the first member of the addrinfo list to all + * subsequent members, so that IPv4 and IPv6 listen on the same port. This + * might fail to bind() with EADDRINUSE if a port is free on the first + * address family in the list but already used on the other. In this case + * we revert everything we've done so far and start from scratch hoping + * that next time we'll find a port number that is usable on all address + * families. We try this at most MAXRETRY times to avoid an endless loop + * if all ports are taken. + */ + int retry = 0; +#define MAXRETRY 10 + + repeat: + if (retry > 0) { + if (statePtr != NULL) { + TcpCloseProc(statePtr, NULL); + statePtr = NULL; + } + if (addrlist != NULL) { + freeaddrinfo(addrlist); + addrlist = NULL; + } + if (retry >= MAXRETRY) { + goto error; + } + } + retry++; + chosenport = 0; + if (!TclCreateSocketAddress(interp, &addrlist, myHost, port, 1, &errorMsg)) { my_errno = errno; goto error; @@ -1512,6 +1543,9 @@ Tcl_OpenTcpServer( } close(sock); sock = -1; + if (port == 0 && errno == EADDRINUSE) { + goto repeat; + } continue; } if (port == 0 && chosenport == 0) { @@ -1535,6 +1569,9 @@ Tcl_OpenTcpServer( } close(sock); sock = -1; + if (port == 0 && errno == EADDRINUSE) { + goto repeat; + } continue; } if (statePtr == NULL) { -- cgit v0.12 From 2655e9896fe938d39815b319a328f7dcfe1651bc Mon Sep 17 00:00:00 2001 From: pooryorick Date: Wed, 5 Oct 2016 00:05:55 +0000 Subject: Rewrite expr documentation. Among other things, fixes [ef5373e6fa0617ee]. --- doc/expr.n | 385 +++++++++++++++++++++++++++---------------------------------- 1 file changed, 171 insertions(+), 214 deletions(-) diff --git a/doc/expr.n b/doc/expr.n index e25515d..7458129 100644 --- a/doc/expr.n +++ b/doc/expr.n @@ -17,14 +17,14 @@ expr \- Evaluate an expression .BE .SH DESCRIPTION .PP -Concatenates \fIarg\fRs (adding separator spaces between them), -evaluates the result as a Tcl expression, and returns the value. -The operators permitted in Tcl expressions include a subset of +Concatenates \fIarg\fRs, separated by a space, into an expresion, and evaluates +that expression, returning its value. +The operators permitted in an expression include a subset of the operators permitted in C expressions. For those operators common to both Tcl and C, Tcl applies the same meaning and precedence as the corresponding C operators. -Expressions almost always yield numeric results -(integer or floating-point values). +The value of an expressions is often a numeric result, either an integer or a +floating-point value, but may also be a non-numeric value. For example, the expression .PP .CS @@ -32,78 +32,68 @@ For example, the expression .CE .PP evaluates to 14.2. -Tcl expressions differ from C expressions in the way that -operands are specified. Also, Tcl expressions support -non-numeric operands and string comparisons, as well as some +Expressions differ from C expressions in the way that +operands are specified. Also, expressions support +non-numeric operands, string comparisons, and some additional operators not found in C. +.PP +When an expression evaluates to an integer, the value is the decimal form of +the integer, and when an expression evaluates to a floating-point number, the +value is the form produced by the \fB%g\fR format specifier of Tcl's +\fBformat\fR command. .SS OPERANDS .PP -A Tcl expression consists of a combination of operands, operators, -parentheses and commas. -White space may be used between the operands and operators and -parentheses (or commas); it is ignored by the expression's instructions. -Where possible, operands are interpreted as integer values. -Integer values may be specified in decimal (the normal case), in binary -(if the first two characters of the operand are \fB0b\fR), in octal -(if the first two characters of the operand are \fB0o\fR), or in hexadecimal -(if the first two characters of the operand are \fB0x\fR). For -compatibility with older Tcl releases, an octal integer value is also -indicated simply when the first character of the operand is \fB0\fR, -whether or not the second character is also \fBo\fR. -If an operand does not have one of the integer formats given -above, then it is treated as a floating-point number if that is -possible. Floating-point numbers may be specified in any of several -common formats making use of the decimal digits, the decimal point \fB.\fR, -the characters \fBe\fR or \fBE\fR indicating scientific notation, and -the sign characters \fB+\fR or \fB\-\fR. For example, all of the -following are valid floating-point numbers: 2.1, 3., 6e4, 7.91e+16. -Also recognized as floating point values are the strings \fBInf\fR -and \fBNaN\fR making use of any case for each character. -If no numeric interpretation is possible (note that all literal -operands that are not numeric or boolean must be quoted with either -braces or with double quotes), then an operand is left as a string -(and only a limited set of operators may be applied to it). -.PP -Operands may be specified in any of the following ways: +An expression consists of a combination of operands, operators, parentheses and +commas, possibly with whitespace between any of these elements, which is +ignored. +An integer operand may be specified in decimal, binary +(the first two characters are \fB0b\fR), octal +(the first two characters are \fB0o\fR), or hexadecimal +(the first two characters are \fB0x\fR) form. For +compatibility with older Tcl releases, an operand that begins with \fB0\fR is +interpreted as an octal integer even if the second character is not \fBo\fR. +A floating-point number may be specified in any of several +common decimal formats, and may use the decimal point \fB.\fR, +\fBe\fR or \fBE\fR for scientific notation, and +the sign characters \fB+\fR and \fB\-\fR. The +following are all valid floating-point numbers: 2.1, 3., 6e4, 7.91e+16. +The strings \fBInf\fR +and \fBNaN\fR, in any combination of case, are also recognized as floating point +values. An operand that doesn't have a numeric interpretation must be quoted +with either braces or with double quotes. +.PP +An operand may be specified in any of the following ways: .IP [1] As a numeric value, either integer or floating-point. .IP [2] As a boolean value, using any form understood by \fBstring is\fR \fBboolean\fR. .IP [3] -As a Tcl variable, using standard \fB$\fR notation. -The variable's value will be used as the operand. +As a variable, using standard \fB$\fR notation. +The value of the variable is then the value of the operand. .IP [4] As a string enclosed in double-quotes. -The expression parser will perform backslash, variable, and -command substitutions on the information between the quotes, -and use the resulting value as the operand +Backslash, variable, and command substitution are performed as described in +\fBTcl\fR. .IP [5] As a string enclosed in braces. -The characters between the open brace and matching close brace -will be used as the operand without any substitutions. +The operand is treated as a braced value as described in \fBTcl\fR. .IP [6] As a Tcl command enclosed in brackets. -The command will be executed and its result will be used as -the operand. +Command substitution is performed as described in \fBTcl\fR. .IP [7] -As a mathematical function whose arguments have any of the above -forms for operands, such as \fBsin($x)\fR. See \fBMATH FUNCTIONS\fR below for +As a mathematical function such as \fBsin($x)\fR, whose arguments have any of the above +forms for operands. See \fBMATH FUNCTIONS\fR below for a discussion of how mathematical functions are handled. .PP -Where the above substitutions occur (e.g. inside quoted strings), they -are performed by the expression's instructions. -However, the command parser may already have performed one round of -substitution before the expression processor was called. -As discussed below, it is usually best to enclose expressions -in braces to prevent the command parser from performing substitutions -on the contents. +Because \fBexpr\fR parses and performs substitutions on values that have +already been parsed and substituted by \fBTcl\fR, it is usually best to enclose +expressions in braces to avoid the first round of substitutions by +\fBTcl\fR. .PP -For some examples of simple expressions, suppose the variable -\fBa\fR has the value 3 and -the variable \fBb\fR has the value 6. -Then the command on the left side of each of the lines below -will produce the value on the right side of the line: +Below are some examples of simple expressions where the value of \fBa\fR is 3 +and the value of \fBb\fR is 6. The command on the left side of each line +produces the value on the right side. .PP .CS .ta 6c @@ -114,34 +104,41 @@ will produce the value on the right side of the line: .CE .SS OPERATORS .PP -The valid operators (most of which are also available as commands in -the \fBtcl::mathop\fR namespace; see the \fBmathop\fR(n) manual page -for details) are listed below, grouped in decreasing order of precedence: +For operators having both a numeric mode and a string mode, the numeric mode is +chosen when all operands have a numeric interpretation. The integer +interpretation of an operand is preferred over the floating-point +interpretation. To ensure string operations on arbitrary values it is generally a +good idea to use \fBeq\fR, \fBne\fR, or the \fBstring\fR command instead of +more versatile operators such as \fB==\fR. +.PP +Unless otherwise specified, operators accept non-numeric operands. The value +of a boolean operation is 1 if true, 0 otherwise. See also \fBstring is\fR +\fBboolean\fR. The valid operators, most of which are also available as +commands in the \fBtcl::mathop\fR namespace (see \fBmathop\fR(n)), are listed +below, grouped in decreasing order of precedence: .TP 20 \fB\-\0\0+\0\0~\0\0!\fR . -Unary minus, unary plus, bit-wise NOT, logical NOT. None of these operators -may be applied to string operands, and bit-wise NOT may be -applied only to integers. +Unary minus, unary plus, bit-wise NOT, logical NOT. These operators +may only be applied to numeric operands, and bit-wise NOT may only be +applied to integers. .TP 20 \fB**\fR . -Exponentiation. Valid for any numeric operands. +Exponentiation. Valid for numeric operands. .TP 20 \fB*\0\0/\0\0%\fR . -Multiply, divide, remainder. None of these operators may be -applied to string operands, and remainder may be applied only -to integers. -The remainder always has the same sign as the divisor and -an absolute value smaller than the absolute value of the divisor. +Multiply and divide, which are valid for numeric operands, and remainder, which +is valid for integers. The remainder, an absolute value smaller than the +absolute value of the divisor, has the same sign as the divisor. .RS .PP -When applied to integers, the division and remainder operators can be -considered to partition the number line into a sequence of equal-sized -adjacent non-overlapping pieces where each piece is the size of the divisor; -the division result identifies which piece the dividend lies within, and the -remainder result identifies where within that piece the dividend lies. A +When applied to integers, division and remainder can be +considered to partition the number line into a sequence of +adjacent non-overlapping pieces, where each piece is the size of the divisor; +the quotient identifies which piece the dividend lies within, and the +remainder identifies where within that piece the dividend lies. A consequence of this is that the result of .QW "-57 \fB/\fR 10" is always -6, and the result of @@ -151,177 +148,157 @@ is always 3. .TP 20 \fB+\0\0\-\fR . -Add and subtract. Valid for any numeric operands. +Add and subtract. Valid for numeric operands. .TP 20 \fB<<\0\0>>\fR . -Left and right shift. Valid for integer operands only. +Left and right shift. Valid for integers. A right shift always propagates the sign bit. .TP 20 \fB<\0\0>\0\0<=\0\0>=\fR . -Boolean less, greater, less than or equal, and greater than or equal. -Each operator produces 1 if the condition is true, 0 otherwise. -These operators may be applied to strings as well as numeric operands, -in which case string comparison is used. +Boolean less than, greater than, less than or equal, and greater than or equal. .TP 20 \fB==\0\0!=\fR . -Boolean equal and not equal. Each operator produces a zero/one result. -Valid for all operand types. +Boolean equal and not equal. .TP 20 \fBeq\0\0ne\fR . -Boolean string equal and string not equal. Each operator produces a -zero/one result. The operand types are interpreted only as strings. +Boolean string equal and string not equal. .TP 20 \fBin\0\0ni\fR . -List containment and negated list containment. Each operator produces -a zero/one result and treats its first argument as a string and its -second argument as a Tcl list. The \fBin\fR operator indicates -whether the first argument is a member of the second argument list; -the \fBni\fR operator inverts the sense of the result. +List containment and negated list containment. The first argument is +interpreted as a string, the second as a list. \fBin\fR tests for membership +in the list, and \fBni\fR is the inverse. .TP 20 \fB&\fR . -Bit-wise AND. Valid for integer operands only. +Bit-wise AND. Valid for integer operands. .TP 20 \fB^\fR . -Bit-wise exclusive OR. Valid for integer operands only. +Bit-wise exclusive OR. Valid for integer operands. .TP 20 \fB|\fR . -Bit-wise OR. Valid for integer operands only. +Bit-wise OR. Valid for integer operands. .TP 20 \fB&&\fR . -Logical AND. Produces a 1 result if both operands are non-zero, -0 otherwise. -Valid for boolean and numeric (integers or floating-point) operands only. +Logical AND. If both operands are true, the result is 1, or 0 otherwise. + .TP 20 \fB||\fR . -Logical OR. Produces a 0 result if both operands are zero, 1 otherwise. -Valid for boolean and numeric (integers or floating-point) operands only. +Logical OR. If both operands are false, the result is 0, or 1 otherwise. .TP 20 \fIx\fB?\fIy\fB:\fIz\fR . -If-then-else, as in C. If \fIx\fR -evaluates to non-zero, then the result is the value of \fIy\fR. -Otherwise the result is the value of \fIz\fR. -The \fIx\fR operand must have a boolean or numeric value. -.PP -See the C manual for more details on the results -produced by each operator. -The exponentiation operator promotes types like the multiply and -divide operators, and produces a result that is the same as the output -of the \fBpow\fR function (after any type conversions.) -All of the binary operators but exponentiation group left-to-right -within the same precedence level; exponentiation groups right-to-left. For example, the command +If-then-else, as in C. If \fIx\fR is false , the result is the value of +\fIy\fR. Otherwise the result is the value of \fIz\fR. +.PP +The exponentiation operator promotes types in the same way as the multiply +and divide operators, and the result is is the same as the result of +\fBpow\fR. +exponentiation groups right-to-left within a precedence level. Other binary +operators group left-to-right. For example, the value of .PP .CS \fBexpr\fR {4*2 < 7} .CE .PP -returns 0, while +is 0, while the value of .PP .CS \fBexpr\fR {2**3**2} .CE .PP -returns 512. +is 512. .PP -The \fB&&\fR, \fB||\fR, and \fB?:\fR operators have +\fB&&\fR, \fB||\fR, and \fB?:\fR feature .QW "lazy evaluation" , just as in C, which means that operands are not evaluated if they are -not needed to determine the outcome. For example, in the command +not needed to determine the outcome. For example, in .PP .CS \fBexpr\fR {$v ? [a] : [b]} .CE .PP -only one of -.QW \fB[a]\fR -or -.QW \fB[b]\fR -will actually be evaluated, -depending on the value of \fB$v\fR. Note, however, that this is -only true if the entire expression is enclosed in braces; otherwise -the Tcl parser will evaluate both -.QW \fB[a]\fR -and -.QW \fB[b]\fR -before invoking the \fBexpr\fR command. +only one of \fB[a]\fR or \fB[b]\fR is evaluated, +depending on the value of \fB$v\fR. This is not true of the normal Tcl parser, +so it is normally recommended to enclose the arguments to \fBexpr\fR in braces. +Without braces, as in +\fBexpr\fR $v ? [a] : [b] +both \fB[a]\fR and \fB[b]\fR are evaluated before \fBexpr\fR is even called. +.PP +For more details on the results +produced by each operator, see the documentation for C. .SS "MATH FUNCTIONS" .PP -When the expression parser encounters a mathematical function -such as \fBsin($x)\fR, it replaces it with a call to an ordinary -Tcl function in the \fBtcl::mathfunc\fR namespace. The processing -of an expression such as: +A mathematical function such as \fBsin($x)\fR is replaced with a call to an ordinary +Tcl command in the \fBtcl::mathfunc\fR namespace. The evaluation +of an expression such as .PP .CS \fBexpr\fR {sin($x+$y)} .CE .PP -is the same in every way as the processing of: +is the same in every way as the evaluation of .PP .CS \fBexpr\fR {[tcl::mathfunc::sin [\fBexpr\fR {$x+$y}]]} .CE .PP -which in turn is the same as the processing of: +which in turn is the same as the evaluation of .PP .CS tcl::mathfunc::sin [\fBexpr\fR {$x+$y}] .CE .PP -The executor will search for \fBtcl::mathfunc::sin\fR using the usual -rules for resolving functions in namespaces. Either -\fB::tcl::mathfunc::sin\fR or \fB[namespace -current]::tcl::mathfunc::sin\fR will satisfy the request, and others -may as well (depending on the current \fBnamespace path\fR setting). +\fBtcl::mathfunc::sin\fR is resolved as described in +\fBNAMESPACE RESOLUTION\fR in the \fBnamespace\fR documentation. Given the +default value of \fBnamespace path\fR, \fB[namespace +current]::tcl::mathfunc::sin\fR or \fB::tcl::mathfunc::sin\fR are the typical +resolutions. .PP -Some mathematical functions have several arguments, separated by commas like in C. Thus: +As in C, a mathematical function may accept multiple arguments separated by commas. Thus, .PP .CS \fBexpr\fR {hypot($x,$y)} .CE .PP -ends up as +becomes .PP .CS tcl::mathfunc::hypot $x $y .CE .PP -See the \fBmathfunc\fR(n) manual page for the math functions that are +See the \fBmathfunc\fR(n) documentation for the math functions that are available by default. .SS "TYPES, OVERFLOW, AND PRECISION" .PP -All internal computations involving integers are done calling on the -LibTomMath multiple precision integer library as required so that all -integer calculations are performed exactly. Note that in Tcl releases -prior to 8.5, integer calculations were performed with one of the C types +When needed to guarantee exact performance, internal computations involving +integers use the LibTomMath multiple precision integer library. In Tcl releases +prior to 8.5, integer calculations were performed using one of the C types \fIlong int\fR or \fITcl_WideInt\fR, causing implicit range truncation in those calculations where values overflowed the range of those types. -Any code that relied on these implicit truncations will need to explicitly -add \fBint()\fR or \fBwide()\fR function calls to expressions at the points -where such truncation is required to take place. +Any code that relied on these implicit truncations should instead call +\fBint()\fR or \fBwide()\fR, which do truncate. .PP -All internal computations involving floating-point are -done with the C type \fIdouble\fR. +Internal floating-point computations are +performed using the C type \fIdouble\fR. When converting a string to floating-point, exponent overflow is detected and results in the \fIdouble\fR value of \fBInf\fR or \fB\-Inf\fR as appropriate. Floating-point overflow and underflow are detected to the degree supported by the hardware, which is generally -pretty reliable. +fairly reliable. .PP -Conversion among internal representations for integer, floating-point, -and string operands is done automatically as needed. -For arithmetic computations, integers are used until some -floating-point number is introduced, after which floating-point is used. -For example, +Conversion among internal representations for integer, floating-point, and +string operands is done automatically as needed. For arithmetic computations, +integers are used until some floating-point number is introduced, after which +floating-point values are used. For example, .PP .CS \fBexpr\fR {5 / 4} @@ -335,82 +312,62 @@ returns 1, while .CE .PP both return 1.25. -Floating-point values are always returned with a +A floating-point result can be distinguished from an integer result by the +presence of either .QW \fB.\fR -or an +or .QW \fBe\fR -so that they will not look like integer values. For example, +.PP +. For example, .PP .CS \fBexpr\fR {20.0/5.0} .CE .PP returns \fB4.0\fR, not \fB4\fR. -.SS "STRING OPERATIONS" -.PP -String values may be used as operands of the comparison operators, -although the expression evaluator tries to do comparisons as integer -or floating-point when it can, -i.e., when all arguments to the operator allow numeric interpretations, -except in the case of the \fBeq\fR and \fBne\fR operators. -If one of the operands of a comparison is a string and the other -has a numeric value, a canonical string representation of the numeric -operand value is generated to compare with the string operand. -Canonical string representation for integer values is a decimal string -format. Canonical string representation for floating-point values -is that produced by the \fB%g\fR format specifier of Tcl's -\fBformat\fR command. For example, the commands -.PP -.CS -\fBexpr\fR {"0x03" > "2"} -\fBexpr\fR {"0y" > "0x12"} -.CE -.PP -both return 1. The first comparison is done using integer -comparison, and the second is done using string comparison. -Because of Tcl's tendency to treat values as numbers whenever -possible, it is not generally a good idea to use operators like \fB==\fR -when you really want string comparison and the values of the -operands could be arbitrary; it is better in these cases to use -the \fBeq\fR or \fBne\fR operators, or the \fBstring\fR command instead. .SH "PERFORMANCE CONSIDERATIONS" .PP -Enclose expressions in braces for the best speed and the smallest -storage requirements. -This allows the Tcl bytecode compiler to generate the best code. -.PP -As mentioned above, expressions are substituted twice: -once by the Tcl parser and once by the \fBexpr\fR command. -For example, the commands +Where an expression contains syntax that Tcl would otherwise perform +substitutions on, enclosing an expression in braces or otherwise quoting it +so that it's a static value allows the Tcl compiler to generate bytecode for +the expression, resulting in better speed and smaller storage requirements. +This also avoids issues that can arise if Tcl is allowed to perform +substitution on the value before \fBexpr\fR is called. .PP +In the following example, the value of the expression is 11 because the Tcl parser first +substitutes \fB$b\fR and \fBexpr\fR then substitutes \fB$a\fR. Enclosing the +expression in braces would result in a syntax error. .CS set a 3 set b {$a + 2} \fBexpr\fR $b*4 .CE .PP -return 11, not a multiple of 4. -This is because the Tcl parser will first substitute \fB$a + 2\fR for -the variable \fBb\fR, -then the \fBexpr\fR command will evaluate the expression \fB$a + 2*4\fR. -.PP -Most expressions do not require a second round of substitutions. -Either they are enclosed in braces or, if not, -their variable and command substitutions yield numbers or strings -that do not themselves require substitutions. -However, because a few unbraced expressions -need two rounds of substitutions, -the bytecode compiler must emit -additional instructions to handle this situation. -The most expensive code is required for -unbraced expressions that contain command substitutions. -These expressions must be implemented by generating new code -each time the expression is executed. -When the expression is unbraced to allow the substitution of a function or -operator, consider using the commands documented in the \fBmathfunc\fR(n) or -\fBmathop\fR(n) manual pages directly instead. + +When an expression is generated at runtime, like the one above is, the bytcode +compiler must ensure that new code is generated each time the expression +is evaluated. This is the most costly kind of expression from a performance +perspective. In such cases, consider directly using the commands described in +the \fBmathfunc\fR(n) or \fBmathop\fR(n) documentation instead of \fBexpr\fR. + +Most expressions are not formed at runtime, but are literal strings or contain +substitutions that don't introduce other substitutions. To allow the bytecode +compiler to work with an expression as a string literal at compilation time, +ensure that it contains no substitutions or that it is enclosed in braces or +otherwise quoted to prevent Tcl from performing substitutions, allowing +\fBexpr\fR to perform them instead. .SH EXAMPLES .PP +A numeric comparison whose result is 1: +.CS +\fBexpr\fR {"0x03" > "2"} +.CE +.PP +A string comparison whose result is 1: +.CS +\fBexpr\fR {"0y" > "0x12"} +.CE +.PP Define a procedure that computes an .QW interesting mathematical function: @@ -444,8 +401,8 @@ each other: puts "a and b are [\fBexpr\fR {$a eq $b ? {equal} : {different}}]" .CE .PP -Set a variable to whether an environment variable is both defined at -all and also set to a true boolean value: +Set a variable indicating whether an environment variable is defined and has +value of true: .PP .CS set isTrue [\fBexpr\fR { -- cgit v0.12 From 69e7f1b52d7d59ea5b1b6cb027c8fbdc88b9d38d Mon Sep 17 00:00:00 2001 From: pooryorick Date: Wed, 5 Oct 2016 04:53:49 +0000 Subject: Fix typos in expr documentation. --- doc/expr.n | 22 +++++++++++----------- 1 file changed, 11 insertions(+), 11 deletions(-) diff --git a/doc/expr.n b/doc/expr.n index 7458129..89c982c 100644 --- a/doc/expr.n +++ b/doc/expr.n @@ -17,13 +17,13 @@ expr \- Evaluate an expression .BE .SH DESCRIPTION .PP -Concatenates \fIarg\fRs, separated by a space, into an expresion, and evaluates +Concatenates \fIarg\fRs, separated by a space, into an expression, and evaluates that expression, returning its value. The operators permitted in an expression include a subset of the operators permitted in C expressions. For those operators common to both Tcl and C, Tcl applies the same meaning and precedence as the corresponding C operators. -The value of an expressions is often a numeric result, either an integer or a +The value of an expression is often a numeric result, either an integer or a floating-point value, but may also be a non-numeric value. For example, the expression .PP @@ -33,7 +33,7 @@ For example, the expression .PP evaluates to 14.2. Expressions differ from C expressions in the way that -operands are specified. Also, expressions support +operands are specified. Expressions also support non-numeric operands, string comparisons, and some additional operators not found in C. .PP @@ -199,10 +199,10 @@ Logical OR. If both operands are false, the result is 0, or 1 otherwise. If-then-else, as in C. If \fIx\fR is false , the result is the value of \fIy\fR. Otherwise the result is the value of \fIz\fR. .PP -The exponentiation operator promotes types in the same way as the multiply -and divide operators, and the result is is the same as the result of +The exponentiation operator promotes types in the same way that the multiply +and divide operators do, and the result is is the same as the result of \fBpow\fR. -exponentiation groups right-to-left within a precedence level. Other binary +Exponentiation groups right-to-left within a precedence level. Other binary operators group left-to-right. For example, the value of .PP .CS @@ -217,9 +217,9 @@ is 0, while the value of .PP is 512. .PP -\fB&&\fR, \fB||\fR, and \fB?:\fR feature +As in C, \fB&&\fR, \fB||\fR, and \fB?:\fR feature .QW "lazy evaluation" , -just as in C, which means that operands are not evaluated if they are +which means that operands are not evaluated if they are not needed to determine the outcome. For example, in .PP .CS @@ -258,7 +258,7 @@ tcl::mathfunc::sin [\fBexpr\fR {$x+$y}] .CE .PP \fBtcl::mathfunc::sin\fR is resolved as described in -\fBNAMESPACE RESOLUTION\fR in the \fBnamespace\fR documentation. Given the +\fBNAMESPACE RESOLUTION\fR in the \fBnamespace\fR(n) documentation. Given the default value of \fBnamespace path\fR, \fB[namespace current]::tcl::mathfunc::sin\fR or \fB::tcl::mathfunc::sin\fR are the typical resolutions. @@ -288,8 +288,8 @@ Any code that relied on these implicit truncations should instead call \fBint()\fR or \fBwide()\fR, which do truncate. .PP Internal floating-point computations are -performed using the C type \fIdouble\fR. -When converting a string to floating-point, exponent overflow is +performed using the \fIdouble\fR C type. +When converting a string to floating-point value, exponent overflow is detected and results in the \fIdouble\fR value of \fBInf\fR or \fB\-Inf\fR as appropriate. Floating-point overflow and underflow are detected to the degree supported by the hardware, which is generally -- cgit v0.12 From be3376f36c02b2b317b509aed67b7751e656ecbb Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 7 Oct 2016 18:52:57 +0000 Subject: Update [string map] tests to get illustration of need for pure dict restriction up to date with ordered dicts. --- generic/tclCmdMZ.c | 2 +- tests/string.test | 4 ++++ 2 files changed, 5 insertions(+), 1 deletion(-) diff --git a/generic/tclCmdMZ.c b/generic/tclCmdMZ.c index 885a0bc..5479971 100644 --- a/generic/tclCmdMZ.c +++ b/generic/tclCmdMZ.c @@ -1873,7 +1873,7 @@ StringMapCmd( /* * This test is tricky, but has to be that way or you get other strange - * inconsistencies (see test string-10.20 for illustration why!) + * inconsistencies (see test string-10.20.1 for illustration why!) */ if (objv[objc-2]->typePtr == &tclDictType && objv[objc-2]->bytes == NULL){ diff --git a/tests/string.test b/tests/string.test index 418bc61..5fdb510 100644 --- a/tests/string.test +++ b/tests/string.test @@ -901,6 +901,10 @@ test string-10.20 {string map, dictionaries don't alter map ordering} { set map {aa X a Y} list [string map [dict create aa X a Y] aaa] [string map $map aaa] [dict size $map] [string map $map aaa] } {XY XY 2 XY} +test string-10.20.1 {string map, dictionaries don't alter map ordering} { + set map {a X b Y a Z} + list [string map [dict create a X b Y a Z] aaa] [string map $map aaa] [dict size $map] [string map $map aaa] +} {ZZZ XXX 2 XXX} test string-10.21 {string map, ABR checks} { string map {longstring foob} long } long -- cgit v0.12 From 58165211fc0567001df02564b1b06e64f66c5ab1 Mon Sep 17 00:00:00 2001 From: ferrieux Date: Sun, 9 Oct 2016 10:35:24 +0000 Subject: Be more accurate about scan's %i --- doc/scan.n | 4 +--- 1 file changed, 1 insertion(+), 3 deletions(-) diff --git a/doc/scan.n b/doc/scan.n index d963d6c..0c24fea 100644 --- a/doc/scan.n +++ b/doc/scan.n @@ -123,9 +123,7 @@ with conversion character \fBu\fR. .TP \fBi\fR . -The input substring must be an integer. The base (i.e. decimal, binary, -octal, or hexadecimal) is determined in the same fashion as described in -\fBexpr\fR. The integer value is stored in the variable, +The input substring must be an integer. The base (i.e. decimal, octal, or hexadecimal) is determined by the C convention (leading 0 for octal; prefix 0x for hexadecimal). The integer value is stored in the variable, truncated as required by the size modifier value. .TP \fBc\fR -- cgit v0.12 From 2f570b44ce96781099a36c1e8a084cb69cb4862f Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 18 Oct 2016 19:16:35 +0000 Subject: Use memcmp where possible. --- generic/tclCmdMZ.c | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/generic/tclCmdMZ.c b/generic/tclCmdMZ.c index 5479971..591e31c 100644 --- a/generic/tclCmdMZ.c +++ b/generic/tclCmdMZ.c @@ -1242,8 +1242,8 @@ StringFirstCmd( * Scan forward to find the first character. */ - if ((*p == *needleStr) && (TclUniCharNcmp(needleStr, p, - (unsigned long) needleLen) == 0)) { + if ((*p == *needleStr) && (memcmp(needleStr, p, + sizeof(Tcl_UniChar) * (size_t)needleLen) == 0)) { match = p - haystackStr; break; } -- cgit v0.12 From ec332750d28a86537a3fc721decc3bb74d850dc9 Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 27 Oct 2016 19:39:49 +0000 Subject: Start bringing all `string cat` operations into one place so it can be coded correctly one time instead of badly multiple times. --- generic/tclCmdMZ.c | 17 ++++++++--------- generic/tclInt.h | 2 ++ generic/tclStringObj.c | 40 ++++++++++++++++++++++++++++++++++++++++ 3 files changed, 50 insertions(+), 9 deletions(-) diff --git a/generic/tclCmdMZ.c b/generic/tclCmdMZ.c index 591e31c..1a08674 100644 --- a/generic/tclCmdMZ.c +++ b/generic/tclCmdMZ.c @@ -2855,7 +2855,7 @@ StringCatCmd( int objc, /* Number of arguments. */ Tcl_Obj *const objv[]) /* Argument objects. */ { - int i; + int code; Tcl_Obj *objResultPtr; if (objc < 2) { @@ -2872,16 +2872,15 @@ StringCatCmd( Tcl_SetObjResult(interp, objv[1]); return TCL_OK; } - objResultPtr = objv[1]; - if (Tcl_IsShared(objResultPtr)) { - objResultPtr = Tcl_DuplicateObj(objResultPtr); - } - for(i = 2;i < objc;i++) { - Tcl_AppendObjToObj(objResultPtr, objv[i]); + + code = TclStringCatObjv(interp, objc-1, objv+1, &objResultPtr); + + if (code == TCL_OK) { + Tcl_SetObjResult(interp, objResultPtr); + return TCL_OK; } - Tcl_SetObjResult(interp, objResultPtr); - return TCL_OK; + return code; } /* diff --git a/generic/tclInt.h b/generic/tclInt.h index da1b5c5..36c1a81 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -3135,6 +3135,8 @@ MODULE_SCOPE void TclSpellFix(Tcl_Interp *interp, Tcl_Obj *bad, Tcl_Obj *fix); MODULE_SCOPE void * TclStackRealloc(Tcl_Interp *interp, void *ptr, int numBytes); +MODULE_SCOPE int TclStringCatObjv(Tcl_Interp *interp, int objc, + Tcl_Obj *const objv[], Tcl_Obj **objPtrPtr); MODULE_SCOPE int TclStringMatch(const char *str, int strLen, const char *pattern, int ptnLen, int flags); MODULE_SCOPE int TclStringMatchObj(Tcl_Obj *stringObj, diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index 2930fa1..1828d20 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -2598,6 +2598,46 @@ TclGetStringStorage( *sizePtr = stringPtr->allocated; return objPtr->bytes; } + +/* + *--------------------------------------------------------------------------- + * + * TclStringCatObjv -- + * + * Performs the [string cat] function. + * + * Results: + * A standard Tcl result. + * + * Side effects: + * Writes to *objPtrPtr the address of Tcl_Obj that is concatenation + * of all objc values in objv. + * + *--------------------------------------------------------------------------- + */ + +int +TclStringCatObjv( + Tcl_Interp *interp, + int objc, + Tcl_Obj * const objv[], + Tcl_Obj **objPtrPtr) +{ + Tcl_Obj *objResultPtr; + + /* assert (objc >= 2) */ + + objResultPtr = *objv++; objc--; + if (Tcl_IsShared(objResultPtr)) { + objResultPtr = Tcl_DuplicateObj(objResultPtr); + } + while (objc--) { + Tcl_AppendObjToObj(objResultPtr, *objv++); + } + *objPtrPtr = objResultPtr; + return TCL_OK; +} + /* *--------------------------------------------------------------------------- * -- cgit v0.12 From 6beda912ab0f8bd8784d7b1a973d3897c89b75c0 Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 27 Oct 2016 20:06:36 +0000 Subject: Convert INST_STR_CONCAT1 to the common `string cat` implementation. --- generic/tclExecute.c | 8 ++++++++ 1 file changed, 8 insertions(+) diff --git a/generic/tclExecute.c b/generic/tclExecute.c index b19754e..fcf5ba9 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -2692,6 +2692,13 @@ TEBCresume( opnd = TclGetUInt1AtPtr(pc+1); +#if 1 + if (TCL_OK != TclStringCatObjv(interp, opnd, &OBJ_AT_DEPTH(opnd-1), + &objResultPtr)) { + TRACE_ERROR(interp); + goto gotError; + } +#else /* * Detect only-bytearray-or-null case. */ @@ -2828,6 +2835,7 @@ TEBCresume( } } } +#endif TRACE_WITH_OBJ(("%u => ", opnd), objResultPtr); NEXT_INST_V(2, opnd, 1); -- cgit v0.12 From 4968966c028c3577f5ef3e604cf1e98b7c37d824 Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 28 Oct 2016 14:06:15 +0000 Subject: Add obvious optimization to Tcl_GetCharLength(). --- generic/tclStringObj.c | 9 +++++++++ 1 file changed, 9 insertions(+) diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index 2930fa1..e878167 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -409,6 +409,15 @@ Tcl_GetCharLength( int numChars; /* + * Quick, no-shimmer return for short string reps. + */ + + if ((objPtr->bytes) && (objPtr->length < 2)) { + /* 0 bytes -> 0 chars; 1 byte -> 1 char */ + return objPtr->length; + } + + /* * Optimize the case where we're really dealing with a bytearray object * without string representation; we don't need to convert to a string to * perform the get-length operation. -- cgit v0.12 From 335716b81d99c7476e68979fe48b20b0f2bfeeee Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 28 Oct 2016 14:45:54 +0000 Subject: Add obvious optimizations to [join] implementation. --- generic/tclCmdIL.c | 10 ++++++++++ 1 file changed, 10 insertions(+) diff --git a/generic/tclCmdIL.c b/generic/tclCmdIL.c index bb3c9b7..7f4ca1d 100644 --- a/generic/tclCmdIL.c +++ b/generic/tclCmdIL.c @@ -2173,6 +2173,16 @@ Tcl_JoinObjCmd( return TCL_ERROR; } + if (listLen == 0) { + /* No elements to join; default empty result is correct. */ + return TCL_OK; + } + if (listLen == 1) { + /* One element; return it */ + Tcl_SetObjResult(interp, elemPtrs[0]); + return TCL_OK; + } + joinObjPtr = (objc == 2) ? Tcl_NewStringObj(" ", 1) : objv[2]; Tcl_IncrRefCount(joinObjPtr); -- cgit v0.12 From dff4ed85a2e6fac50d5e9d7caee4a7f1dffcd835 Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 28 Oct 2016 15:46:49 +0000 Subject: Add optimization to [dict append]. --- generic/tclDictObj.c | 25 +++++++++++++++++-------- 1 file changed, 17 insertions(+), 8 deletions(-) diff --git a/generic/tclDictObj.c b/generic/tclDictObj.c index 428173d..f99f984 100644 --- a/generic/tclDictObj.c +++ b/generic/tclDictObj.c @@ -2305,17 +2305,26 @@ DictAppendCmd( return TCL_ERROR; } - if (valuePtr == NULL) { - TclNewObj(valuePtr); - } else if (Tcl_IsShared(valuePtr)) { - valuePtr = Tcl_DuplicateObj(valuePtr); - } + if ((objc > 3) || (valuePtr == NULL)) { + /* Only go through append activites when something will change. */ + + if (valuePtr == NULL) { + TclNewObj(valuePtr); + } else if (Tcl_IsShared(valuePtr)) { + valuePtr = Tcl_DuplicateObj(valuePtr); + } - for (i=3 ; i Date: Fri, 28 Oct 2016 16:55:44 +0000 Subject: revise [dict append] to make use of common [string cat] engine. --- generic/tclDictObj.c | 30 ++++++++++++++++++++++++------ 1 file changed, 24 insertions(+), 6 deletions(-) diff --git a/generic/tclDictObj.c b/generic/tclDictObj.c index f99f984..3be968a 100644 --- a/generic/tclDictObj.c +++ b/generic/tclDictObj.c @@ -2282,7 +2282,7 @@ DictAppendCmd( Tcl_Obj *const *objv) { Tcl_Obj *dictPtr, *valuePtr, *resultPtr; - int i, allocatedDict = 0; + int allocatedDict = 0; if (objc < 3) { Tcl_WrongNumArgs(interp, 1, objv, "dictVarName key ?value ...?"); @@ -2307,15 +2307,33 @@ DictAppendCmd( if ((objc > 3) || (valuePtr == NULL)) { /* Only go through append activites when something will change. */ + Tcl_Obj *appendObjPtr = NULL; - if (valuePtr == NULL) { + if (objc > 3) { + /* Something to append */ + + if (objc == 4) { + appendObjPtr = objv[3]; + } else if (TCL_OK != TclStringCatObjv(interp, objc-3, objv+3, + &appendObjPtr)) { + return TCL_ERROR; + } + } + + if (appendObjPtr == NULL) { + /* => (objc == 3) => (valuePtr == NULL) */ TclNewObj(valuePtr); - } else if (Tcl_IsShared(valuePtr)) { - valuePtr = Tcl_DuplicateObj(valuePtr); + } else if (valuePtr == NULL) { + valuePtr = appendObjPtr; + appendObjPtr = NULL; } - for (i=3 ; i Date: Fri, 28 Oct 2016 20:33:55 +0000 Subject: WIP --- generic/tclCmdIL.c | 5 ++--- generic/tclCmdMZ.c | 3 ++- generic/tclDictObj.c | 4 ++-- generic/tclExecute.c | 4 ++-- generic/tclInt.h | 5 +++-- generic/tclStringObj.c | 58 +++++++++++++++++++++++++++++++++++++++++++++++++- 6 files changed, 68 insertions(+), 11 deletions(-) diff --git a/generic/tclCmdIL.c b/generic/tclCmdIL.c index 09adc8d..73bd36f 100644 --- a/generic/tclCmdIL.c +++ b/generic/tclCmdIL.c @@ -2187,9 +2187,8 @@ Tcl_JoinObjCmd( Tcl_IncrRefCount(joinObjPtr); if (Tcl_GetCharLength(joinObjPtr) == 0) { - Tcl_IncrRefCount(elemPtrs[0]); - TclStringCatObjv(interp, listLen, elemPtrs, &resObjPtr); - Tcl_DecrRefCount(elemPtrs[0]); + TclStringCatObjv(interp, /* inPlace */ 0, listLen, elemPtrs, + &resObjPtr); } else { int i; diff --git a/generic/tclCmdMZ.c b/generic/tclCmdMZ.c index 1a08674..10c2ef3 100644 --- a/generic/tclCmdMZ.c +++ b/generic/tclCmdMZ.c @@ -2873,7 +2873,8 @@ StringCatCmd( return TCL_OK; } - code = TclStringCatObjv(interp, objc-1, objv+1, &objResultPtr); + code = TclStringCatObjv(interp, /* inPlace */ 1, objc-1, objv+1, + &objResultPtr); if (code == TCL_OK) { Tcl_SetObjResult(interp, objResultPtr); diff --git a/generic/tclDictObj.c b/generic/tclDictObj.c index 3be968a..9686c6f 100644 --- a/generic/tclDictObj.c +++ b/generic/tclDictObj.c @@ -2314,8 +2314,8 @@ DictAppendCmd( if (objc == 4) { appendObjPtr = objv[3]; - } else if (TCL_OK != TclStringCatObjv(interp, objc-3, objv+3, - &appendObjPtr)) { + } else if (TCL_OK != TclStringCatObjv(interp, /* inPlace */ 1, + objc-3, objv+3, &appendObjPtr)) { return TCL_ERROR; } } diff --git a/generic/tclExecute.c b/generic/tclExecute.c index fcf5ba9..1cf8548 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -2693,8 +2693,8 @@ TEBCresume( opnd = TclGetUInt1AtPtr(pc+1); #if 1 - if (TCL_OK != TclStringCatObjv(interp, opnd, &OBJ_AT_DEPTH(opnd-1), - &objResultPtr)) { + if (TCL_OK != TclStringCatObjv(interp, /* inPlace */ 1, + opnd, &OBJ_AT_DEPTH(opnd-1), &objResultPtr)) { TRACE_ERROR(interp); goto gotError; } diff --git a/generic/tclInt.h b/generic/tclInt.h index 36c1a81..8a647f0 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -3135,8 +3135,9 @@ MODULE_SCOPE void TclSpellFix(Tcl_Interp *interp, Tcl_Obj *bad, Tcl_Obj *fix); MODULE_SCOPE void * TclStackRealloc(Tcl_Interp *interp, void *ptr, int numBytes); -MODULE_SCOPE int TclStringCatObjv(Tcl_Interp *interp, int objc, - Tcl_Obj *const objv[], Tcl_Obj **objPtrPtr); +MODULE_SCOPE int TclStringCatObjv(Tcl_Interp *interp, int inPlace, + int objc, Tcl_Obj *const objv[], + Tcl_Obj **objPtrPtr); MODULE_SCOPE int TclStringMatch(const char *str, int strLen, const char *pattern, int ptnLen, int flags); MODULE_SCOPE int TclStringMatchObj(Tcl_Obj *stringObj, diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index cc30602..c248749 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -2630,18 +2630,74 @@ TclGetStringStorage( int TclStringCatObjv( Tcl_Interp *interp, + int inPlace, int objc, Tcl_Obj * const objv[], Tcl_Obj **objPtrPtr) { Tcl_Obj *objResultPtr; + int i, length = 0, binary = 1, first = 0; /* assert (objc >= 2) */ + /* + * GOALS: Avoid shimmering & string rep generation. + * Produce pure bytearray when possible. + * Error on overflow. + */ + + for (i = 0; i < objc && binary; i++) { + Tcl_Obj *objPtr = objv[i]; + + if (objPtr->bytes) { + if (objPtr->length == 0) { + continue; + } + binary = 0; + } else if (!TclIsPureByteArray(objPtr)) { + binary = 0; + } + } + + if (binary) { + for (i = 0; i < objc && length >= 0; i++) { + if (objv[i]->bytes == NULL) { + int numBytes; + + Tcl_GetByteArrayFromObj(objv[i], &numBytes); + if (length == 0) { + first = i; + } + length += numBytes; + } + } + if (length < 0) { + if (interp) { + Tcl_SetObjResult(interp, Tcl_ObjPrintf( + "max size for a Tcl value (%d bytes) exceeded", + INT_MAX)); + Tcl_SetErrorCode(interp, "TCL", "MEMORY", NULL); + } + return TCL_ERROR; + } + if (length == 0) { + /* Total length of zero means every value has length zero */ + *objPtrPtr = objv[0]; + return TCL_OK; + } + } + + objv += first; objc -= first; objResultPtr = *objv++; objc--; - if (Tcl_IsShared(objResultPtr)) { + if (!inPlace || Tcl_IsShared(objResultPtr)) { objResultPtr = Tcl_DuplicateObj(objResultPtr); } + + if (binary) { + Tcl_SetByteArrayLength(objResultPtr, length); + } + + while (objc--) { Tcl_AppendObjToObj(objResultPtr, *objv++); } -- cgit v0.12 From 1cb5e0af9770c565d370fbb5cf713af0d1f561de Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 31 Oct 2016 14:17:31 +0000 Subject: Coverage tests for INST_STR_CONCAT1 byterarray ops. --- tests/binary.test | 13 +++++++++++++ 1 file changed, 13 insertions(+) diff --git a/tests/binary.test b/tests/binary.test index 40b1315..7738f69 100644 --- a/tests/binary.test +++ b/tests/binary.test @@ -2837,6 +2837,19 @@ test binary-76.2 {binary string appending growth algorithm} win { # Append to it string length [append str [binary format a* foo]] } 3 + +test binary-77.1 {string cat ops on all bytearrays} { + apply {{a b} { + return [binary format H* $a][binary format H* $b] + }} ab cd +} [binary format H* abcd] +test binary-77.2 {string cat ops on all bytearrays} { + apply {{a b} { + set one [binary format H* $a] + return $one[binary format H* $b] + }} ab cd +} [binary format H* abcd] + # ---------------------------------------------------------------------- # cleanup -- cgit v0.12 From 77c9a433f701214eafd76617a8e3c67316ebf08e Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 31 Oct 2016 16:15:16 +0000 Subject: Complete the "pure binary" implementation of the [string cat] engine. --- generic/tclStringObj.c | 26 ++++++++++++++++++++------ 1 file changed, 20 insertions(+), 6 deletions(-) diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index c248749..c0d85a0 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -2694,12 +2694,26 @@ TclStringCatObjv( } if (binary) { - Tcl_SetByteArrayLength(objResultPtr, length); - } - - - while (objc--) { - Tcl_AppendObjToObj(objResultPtr, *objv++); + /* Efficiently produce a pure binary result */ + unsigned char *dst; + int start; + + Tcl_GetByteArrayFromObj(objResultPtr, &start); + dst = Tcl_SetByteArrayLength(objResultPtr, length) + start; + while (objc--) { + Tcl_Obj *objPtr = *objv++; + + if (objPtr->bytes == NULL) { + int more; + unsigned char *src = Tcl_GetByteArrayFromObj(objPtr, &more); + memcpy(dst, src, (size_t) more); + dst += more; + } + } + } else { + while (objc--) { + Tcl_AppendObjToObj(objResultPtr, *objv++); + } } *objPtrPtr = objResultPtr; return TCL_OK; -- cgit v0.12 From b550e65a968434e0f17d097f85df3fb64347e1ce Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 31 Oct 2016 18:10:21 +0000 Subject: Reduce copies in the pure binary implementation of [string cat]. --- generic/tclStringObj.c | 26 +++++++++++++++++++------- 1 file changed, 19 insertions(+), 7 deletions(-) diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index c0d85a0..1723804 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -2688,18 +2688,21 @@ TclStringCatObjv( } objv += first; objc -= first; - objResultPtr = *objv++; objc--; - if (!inPlace || Tcl_IsShared(objResultPtr)) { - objResultPtr = Tcl_DuplicateObj(objResultPtr); - } if (binary) { /* Efficiently produce a pure binary result */ unsigned char *dst; - int start; - Tcl_GetByteArrayFromObj(objResultPtr, &start); - dst = Tcl_SetByteArrayLength(objResultPtr, length) + start; + if (inPlace && !Tcl_IsShared(*objv)) { + int start; + + objResultPtr = *objv++; objc--; + Tcl_GetByteArrayFromObj(objResultPtr, &start); + dst = Tcl_SetByteArrayLength(objResultPtr, length) + start; + } else { + objResultPtr = Tcl_NewByteArrayObj(NULL, length); + dst = Tcl_SetByteArrayLength(objResultPtr, length); + } while (objc--) { Tcl_Obj *objPtr = *objv++; @@ -2711,6 +2714,15 @@ TclStringCatObjv( } } } else { + + + objResultPtr = *objv++; objc--; + if (!inPlace || Tcl_IsShared(objResultPtr)) { + objResultPtr = Tcl_DuplicateObj(objResultPtr); + } + + + while (objc--) { Tcl_AppendObjToObj(objResultPtr, *objv++); } -- cgit v0.12 From ff2f0e85be431ad093ea78333f98942321ea1779 Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 1 Nov 2016 15:07:30 +0000 Subject: Expand all the cases of the [string cat] engine. --- generic/tclStringObj.c | 156 ++++++++++++++++++++++++++++++++++++++++--------- 1 file changed, 129 insertions(+), 27 deletions(-) diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index 1723804..05dcba4 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -2637,60 +2637,113 @@ TclStringCatObjv( { Tcl_Obj *objResultPtr; int i, length = 0, binary = 1, first = 0; + int allowUniChar = 1, requestUniChar = 0; /* assert (objc >= 2) */ /* + * Analyze to determine what representation result should be. * GOALS: Avoid shimmering & string rep generation. * Produce pure bytearray when possible. * Error on overflow. */ - for (i = 0; i < objc && binary; i++) { + for (i = 0; i < objc && (binary || allowUniChar); i++) { Tcl_Obj *objPtr = objv[i]; if (objPtr->bytes) { - if (objPtr->length == 0) { - continue; + /* Value has a string rep. */ + if (objPtr->length) { + /* + * Non-empty string rep. Not a pure bytearray, so we + * won't create a pure bytearray + */ + binary = 0; + if ((objPtr->typePtr) && (objPtr->typePtr != &tclStringType)) { + /* Prevent shimmer of non-string types. */ + allowUniChar = 0; + } + } + } else { + /* assert (objPtr->typePtr != NULL) -- stork! */ + if (TclIsPureByteArray(objPtr)) { + allowUniChar = 0; + } else { + binary = 0; + if (objPtr->typePtr == &tclStringType) { + /* Have a pure Unicode value; ask to preserve it */ + requestUniChar = 1; + } else { + /* Have another type; prevent shimmer */ + allowUniChar = 0; + } } - binary = 0; - } else if (!TclIsPureByteArray(objPtr)) { - binary = 0; } } if (binary) { + /* Result will be pure byte array. Pre-size it */ for (i = 0; i < objc && length >= 0; i++) { - if (objv[i]->bytes == NULL) { + Tcl_Obj *objPtr = objv[i]; + + if (objPtr->bytes == NULL) { int numBytes; - Tcl_GetByteArrayFromObj(objv[i], &numBytes); + Tcl_GetByteArrayFromObj(objPtr, &numBytes); if (length == 0) { first = i; } length += numBytes; } } - if (length < 0) { - if (interp) { - Tcl_SetObjResult(interp, Tcl_ObjPrintf( - "max size for a Tcl value (%d bytes) exceeded", - INT_MAX)); - Tcl_SetErrorCode(interp, "TCL", "MEMORY", NULL); + } else if (allowUniChar && requestUniChar) { + /* Result will be pure Tcl_UniChar array. Pre-size it. */ + for (i = 0; i < objc && length >= 0; i++) { + Tcl_Obj *objPtr = objv[i]; + + if ((objPtr->bytes == NULL) || (objPtr->length)) { + int numChars; + + Tcl_GetUnicodeFromObj(objPtr, &numChars); + if (length == 0) { + first = i; + } + length += numChars; } - return TCL_ERROR; } - if (length == 0) { - /* Total length of zero means every value has length zero */ - *objPtrPtr = objv[0]; - return TCL_OK; + } else { + /* Result will be concat of string reps. Pre-size it. */ + for (i = 0; i < objc && length >= 0; i++) { + Tcl_Obj *objPtr = objv[i]; + int numBytes; + + Tcl_GetStringFromObj(objPtr, &numBytes); + if ((length == 0) && numBytes) { + first = i; + } + length += numBytes; + } + } + + if (length < 0) { + if (interp) { + Tcl_SetObjResult(interp, Tcl_ObjPrintf( + "max size for a Tcl value (%d bytes) exceeded", INT_MAX)); + Tcl_SetErrorCode(interp, "TCL", "MEMORY", NULL); } - } + return TCL_ERROR; + } + + if (length == 0) { + /* Total length of zero means every value has length zero */ + *objPtrPtr = objv[0]; + return TCL_OK; + } objv += first; objc -= first; if (binary) { - /* Efficiently produce a pure binary result */ + /* Efficiently produce a pure byte array result */ unsigned char *dst; if (inPlace && !Tcl_IsShared(*objv)) { @@ -2713,18 +2766,67 @@ TclStringCatObjv( dst += more; } } - } else { + } else if (allowUniChar && requestUniChar) { + /* Efficiently produce a pure Tcl_UniChar array result */ + Tcl_UniChar *dst; + if (inPlace && !Tcl_IsShared(*objv)) { + int start; - objResultPtr = *objv++; objc--; - if (!inPlace || Tcl_IsShared(objResultPtr)) { - objResultPtr = Tcl_DuplicateObj(objResultPtr); - } + objResultPtr = *objv++; objc--; + + /* Ugly interface! Force resize of the unicode array. */ + Tcl_GetUnicodeFromObj(objResultPtr, &start); + Tcl_InvalidateStringRep(objResultPtr); + Tcl_SetObjLength(objResultPtr, length); + dst = Tcl_GetUnicode(objResultPtr) + start; + } else { + Tcl_UniChar ch = 0; + + /* Ugly interface! No scheme to init array size. */ + objResultPtr = Tcl_NewUnicodeObj(&ch, 0); + Tcl_SetObjLength(objResultPtr, length); + dst = Tcl_GetUnicode(objResultPtr); + } + while (objc--) { + Tcl_Obj *objPtr = *objv++; + + if ((objPtr->bytes == NULL) || (objPtr->length)) { + int more; + Tcl_UniChar *src = Tcl_GetUnicodeFromObj(objPtr, &more); + memcpy(dst, src, more * sizeof(Tcl_UniChar)); + dst += more; + } + } + } else { + /* Efficiently concatenate string reps */ + char *dst; + if (inPlace && !Tcl_IsShared(*objv)) { + int start; + objResultPtr = *objv++; objc--; + Tcl_GetStringFromObj(objResultPtr, &start); + Tcl_SetObjLength(objResultPtr, length); + dst = Tcl_GetString(objResultPtr) + start; + if (length > start) { + TclFreeIntRep(objResultPtr); + } + } else { + objResultPtr = Tcl_NewObj(); + Tcl_SetObjLength(objResultPtr, length); + dst = Tcl_GetString(objResultPtr); + } while (objc--) { - Tcl_AppendObjToObj(objResultPtr, *objv++); + Tcl_Obj *objPtr = *objv++; + + if ((objPtr->bytes == NULL) || (objPtr->length)) { + int more; + char *src = Tcl_GetStringFromObj(objPtr, &more); + memcpy(dst, src, (size_t) more); + dst += more; + } } } *objPtrPtr = objResultPtr; -- cgit v0.12 From 418ded1bc9df7ae0976ce3793aa0190c93609332 Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 1 Nov 2016 15:12:07 +0000 Subject: Trim away obsolete code. --- generic/tclExecute.c | 146 +-------------------------------------------------- 1 file changed, 1 insertion(+), 145 deletions(-) diff --git a/generic/tclExecute.c b/generic/tclExecute.c index 1cf8548..83b83f1 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -2684,162 +2684,18 @@ TEBCresume( NEXT_INST_F(5, 0, 0); } - case INST_STR_CONCAT1: { - int appendLen = 0; - char *bytes, *p; - Tcl_Obj **currPtr; - int onlyb = 1; + case INST_STR_CONCAT1: opnd = TclGetUInt1AtPtr(pc+1); -#if 1 if (TCL_OK != TclStringCatObjv(interp, /* inPlace */ 1, opnd, &OBJ_AT_DEPTH(opnd-1), &objResultPtr)) { TRACE_ERROR(interp); goto gotError; } -#else - /* - * Detect only-bytearray-or-null case. - */ - - for (currPtr=&OBJ_AT_DEPTH(opnd-1); currPtr<=&OBJ_AT_TOS; currPtr++) { - if (((*currPtr)->typePtr != &tclByteArrayType) - && ((*currPtr)->bytes != tclEmptyStringRep)) { - onlyb = 0; - break; - } else if (((*currPtr)->typePtr == &tclByteArrayType) && - ((*currPtr)->bytes != NULL)) { - onlyb = 0; - break; - } - } - - /* - * Compute the length to be appended. - */ - - if (onlyb) { - for (currPtr = &OBJ_AT_DEPTH(opnd-2); - appendLen >= 0 && currPtr <= &OBJ_AT_TOS; currPtr++) { - if ((*currPtr)->bytes != tclEmptyStringRep) { - Tcl_GetByteArrayFromObj(*currPtr, &length); - appendLen += length; - } - } - } else { - for (currPtr = &OBJ_AT_DEPTH(opnd-2); - appendLen >= 0 && currPtr <= &OBJ_AT_TOS; currPtr++) { - bytes = TclGetStringFromObj(*currPtr, &length); - if (bytes != NULL) { - appendLen += length; - } - } - } - - if (appendLen < 0) { - /* TODO: convert panic to error ? */ - Tcl_Panic("max size for a Tcl value (%d bytes) exceeded", INT_MAX); - } - - /* - * If nothing is to be appended, just return the first object by - * dropping all the others from the stack; this saves both the - * computation and copy of the string rep of the first object, - * enabling the fast '$x[set x {}]' idiom for 'K $x [set x {}]'. - */ - - if (appendLen == 0) { - TRACE_WITH_OBJ(("%u => ", opnd), objResultPtr); - NEXT_INST_V(2, (opnd-1), 0); - } - - /* - * If the first object is shared, we need a new obj for the result; - * otherwise, we can reuse the first object. In any case, make sure it - * has enough room to accomodate all the concatenated bytes. Note that - * if it is unshared its bytes are copied by ckrealloc, so that we set - * the loop parameters to avoid copying them again: p points to the - * end of the already copied bytes, currPtr to the second object. - */ - - objResultPtr = OBJ_AT_DEPTH(opnd-1); - if (!onlyb) { - bytes = TclGetStringFromObj(objResultPtr, &length); - if (length + appendLen < 0) { - /* TODO: convert panic to error ? */ - Tcl_Panic("max size for a Tcl value (%d bytes) exceeded", - INT_MAX); - } -#ifndef TCL_COMPILE_DEBUG - if (bytes != tclEmptyStringRep && !Tcl_IsShared(objResultPtr)) { - TclFreeIntRep(objResultPtr); - objResultPtr->bytes = ckrealloc(bytes, length+appendLen+1); - objResultPtr->length = length + appendLen; - p = TclGetString(objResultPtr) + length; - currPtr = &OBJ_AT_DEPTH(opnd - 2); - } else -#endif - { - p = ckalloc(length + appendLen + 1); - TclNewObj(objResultPtr); - objResultPtr->bytes = p; - objResultPtr->length = length + appendLen; - currPtr = &OBJ_AT_DEPTH(opnd - 1); - } - - /* - * Append the remaining characters. - */ - - for (; currPtr <= &OBJ_AT_TOS; currPtr++) { - bytes = TclGetStringFromObj(*currPtr, &length); - if (bytes != NULL) { - memcpy(p, bytes, (size_t) length); - p += length; - } - } - *p = '\0'; - } else { - bytes = (char *) Tcl_GetByteArrayFromObj(objResultPtr, &length); - if (length + appendLen < 0) { - /* TODO: convert panic to error ? */ - Tcl_Panic("max size for a Tcl value (%d bytes) exceeded", - INT_MAX); - } -#ifndef TCL_COMPILE_DEBUG - if (!Tcl_IsShared(objResultPtr)) { - bytes = (char *) Tcl_SetByteArrayLength(objResultPtr, - length + appendLen); - p = bytes + length; - currPtr = &OBJ_AT_DEPTH(opnd - 2); - } else -#endif - { - TclNewObj(objResultPtr); - bytes = (char *) Tcl_SetByteArrayLength(objResultPtr, - length + appendLen); - p = bytes; - currPtr = &OBJ_AT_DEPTH(opnd - 1); - } - - /* - * Append the remaining characters. - */ - - for (; currPtr <= &OBJ_AT_TOS; currPtr++) { - if ((*currPtr)->bytes != tclEmptyStringRep) { - bytes = (char *) Tcl_GetByteArrayFromObj(*currPtr,&length); - memcpy(p, bytes, (size_t) length); - p += length; - } - } - } -#endif TRACE_WITH_OBJ(("%u => ", opnd), objResultPtr); NEXT_INST_V(2, opnd, 1); - } case INST_CONCAT_STK: /* -- cgit v0.12 From cdc8b6080c2a2f05f3f66adfa3184405f04dc003 Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 1 Nov 2016 15:42:50 +0000 Subject: Replace indexing with pointer increments. --- generic/tclStringObj.c | 31 ++++++++++++++++++------------- 1 file changed, 18 insertions(+), 13 deletions(-) diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index 05dcba4..7fd7cc1 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -2635,8 +2635,8 @@ TclStringCatObjv( Tcl_Obj * const objv[], Tcl_Obj **objPtrPtr) { - Tcl_Obj *objResultPtr; - int i, length = 0, binary = 1, first = 0; + Tcl_Obj *objPtr, *objResultPtr, * const *ov; + int oc, length = 0, binary = 1, first = 0; int allowUniChar = 1, requestUniChar = 0; /* assert (objc >= 2) */ @@ -2648,8 +2648,9 @@ TclStringCatObjv( * Error on overflow. */ - for (i = 0; i < objc && (binary || allowUniChar); i++) { - Tcl_Obj *objPtr = objv[i]; + ov = objv, oc = objc; + while (oc-- && (binary || allowUniChar)) { + objPtr = *ov++; if (objPtr->bytes) { /* Value has a string rep. */ @@ -2683,43 +2684,47 @@ TclStringCatObjv( if (binary) { /* Result will be pure byte array. Pre-size it */ - for (i = 0; i < objc && length >= 0; i++) { - Tcl_Obj *objPtr = objv[i]; + ov = objv; oc = objc; + while (oc-- && (length >= 0)) { + objPtr = *ov++; if (objPtr->bytes == NULL) { int numBytes; Tcl_GetByteArrayFromObj(objPtr, &numBytes); if (length == 0) { - first = i; + first = objc - oc - 1; } length += numBytes; } } } else if (allowUniChar && requestUniChar) { /* Result will be pure Tcl_UniChar array. Pre-size it. */ - for (i = 0; i < objc && length >= 0; i++) { - Tcl_Obj *objPtr = objv[i]; + ov = objv; oc = objc; + while (oc-- && (length >= 0)) { + objPtr = *ov++; if ((objPtr->bytes == NULL) || (objPtr->length)) { int numChars; Tcl_GetUnicodeFromObj(objPtr, &numChars); if (length == 0) { - first = i; + first = objc - oc - 1; } length += numChars; } } } else { /* Result will be concat of string reps. Pre-size it. */ - for (i = 0; i < objc && length >= 0; i++) { - Tcl_Obj *objPtr = objv[i]; + ov = objv; oc = objc; + while (oc-- && (length >= 0)) { int numBytes; + objPtr = *ov++; + Tcl_GetStringFromObj(objPtr, &numBytes); if ((length == 0) && numBytes) { - first = i; + first = objc - oc - 1; } length += numBytes; } -- cgit v0.12 From 480c51780a02e0e4bb97435754100d850b948ffa Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 4 Nov 2016 14:48:36 +0000 Subject: [824752f10e] More robust, portable check for integer overflow. --- generic/tclListObj.c | 7 ++----- 1 file changed, 2 insertions(+), 5 deletions(-) diff --git a/generic/tclListObj.c b/generic/tclListObj.c index 2929423..344d0fd 100644 --- a/generic/tclListObj.c +++ b/generic/tclListObj.c @@ -897,11 +897,8 @@ Tcl_ListObjReplace( } if (count < 0) { count = 0; - } else if (numElems < first+count || first+count < 0) { - /* - * The 'first+count < 0' condition here guards agains integer - * overflow in determining 'first+count'. - */ + } else if (first > INT_MAX - count /* Handle integer overflow */ + || numElems < first+count) { count = numElems - first; } -- cgit v0.12 From 5f1098561b5067a8f429be371166ed3b1e6189e4 Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 4 Nov 2016 21:29:30 +0000 Subject: First draft refactoring the [string first] functionality. --- generic/tclExecute.c | 4 +++ generic/tclInt.h | 2 ++ generic/tclStringObj.c | 84 ++++++++++++++++++++++++++++++++++++++++++++++++++ 3 files changed, 90 insertions(+) diff --git a/generic/tclExecute.c b/generic/tclExecute.c index 83b83f1..5ea199d 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -5720,6 +5720,9 @@ TEBCresume( NEXT_INST_V(1, 3, 1); case INST_STR_FIND: +#if 1 + match = TclStringFind(OBJ_UNDER_TOS, OBJ_AT_TOS, 0); +#else ustring1 = Tcl_GetUnicodeFromObj(OBJ_AT_TOS, &length); /* Haystack */ ustring2 = Tcl_GetUnicodeFromObj(OBJ_UNDER_TOS, &length2);/* Needle */ @@ -5734,6 +5737,7 @@ TEBCresume( } } } +#endif TRACE(("%.20s %.20s => %d\n", O2S(OBJ_UNDER_TOS), O2S(OBJ_AT_TOS), match)); diff --git a/generic/tclInt.h b/generic/tclInt.h index 8a647f0..26592f9 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -3138,6 +3138,8 @@ MODULE_SCOPE void * TclStackRealloc(Tcl_Interp *interp, void *ptr, MODULE_SCOPE int TclStringCatObjv(Tcl_Interp *interp, int inPlace, int objc, Tcl_Obj *const objv[], Tcl_Obj **objPtrPtr); +MODULE_SCOPE int TclStringFind(Tcl_Obj *needle, Tcl_Obj *haystack, + unsigned int start); MODULE_SCOPE int TclStringMatch(const char *str, int strLen, const char *pattern, int ptnLen, int flags); MODULE_SCOPE int TclStringMatchObj(Tcl_Obj *stringObj, diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index b486106..6e1529c 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -2841,6 +2841,90 @@ TclStringCatObjv( /* *--------------------------------------------------------------------------- * + * TclStringFind -- + * + * Implements the [string first] operation. + * + * Results: + * If needle is found as a substring of haystack, the index of the + * first instance of such a find is returned. If needle is not present + * as a substring of haystack, -1 is returned. + * + * Side effects: + * needle and haystack may have their Tcl_ObjType changed. + * + *--------------------------------------------------------------------------- + */ + +int +TclStringFind( + Tcl_Obj *needle, + Tcl_Obj *haystack, + unsigned int start) +{ + int ln, lh; + + if (TclIsPureByteArray(needle) && TclIsPureByteArray(haystack)) { + unsigned char *end, *try, *bh; + unsigned char *bn = Tcl_GetByteArrayFromObj(needle, &ln); + + if (ln == 0) { + /* + * We don't find empty substrings. Bizarre! + * + * TODO: When we one day make this a true substring + * finder, change this to "return 0" + */ + return -1; + } + + bh = Tcl_GetByteArrayFromObj(haystack, &lh); + end = bh + lh; + + try = bh + start; + while (try + ln <= end) { + try = memchr(try, bn[0], end - try); + + if (try == NULL) { + return -1; + } + if (0 == memcmp(try+1, bn+1, ln-1)) { + return (try - bh); + } + try++; + } + return -1; + } + + /* TODO: Detect and optimize case with single byte chars only */ + + { + Tcl_UniChar *try, *end, *uh; + Tcl_UniChar *un = Tcl_GetUnicodeFromObj(needle, &ln); + + if (ln == 0) { + /* See above */ + return -1; + } + + uh = Tcl_GetUnicodeFromObj(haystack, &lh); + end = uh + lh; + + try = uh + start; + while (try + ln <= end) { + if ((*try == *un) + && (0 == memcmp(try+1, un+1, (ln-1)*sizeof(Tcl_UniChar)))) { + return (try - uh); + } + try++; + } + return -1; + } +} + +/* + *--------------------------------------------------------------------------- + * * TclStringObjReverse -- * * Implements the [string reverse] operation. -- cgit v0.12 From a4cbbc51f40fedd5a20c14571c23b10d5e311c8a Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 7 Nov 2016 19:28:25 +0000 Subject: Implement direct eval [string first] with the refactored engine. --- generic/tclCmdMZ.c | 78 +++++++----------------------------------------------- 1 file changed, 9 insertions(+), 69 deletions(-) diff --git a/generic/tclCmdMZ.c b/generic/tclCmdMZ.c index 10c2ef3..be77b1f 100644 --- a/generic/tclCmdMZ.c +++ b/generic/tclCmdMZ.c @@ -1176,8 +1176,7 @@ StringFirstCmd( int objc, /* Number of arguments. */ Tcl_Obj *const objv[]) /* Argument objects. */ { - Tcl_UniChar *needleStr, *haystackStr; - int match, start, needleLen, haystackLen; + int start = 0; if (objc < 3 || objc > 4) { Tcl_WrongNumArgs(interp, 1, objv, @@ -1185,82 +1184,23 @@ StringFirstCmd( return TCL_ERROR; } - /* - * We are searching haystackStr for the sequence needleStr. - */ - - match = -1; - start = 0; - haystackLen = -1; - - needleStr = Tcl_GetUnicodeFromObj(objv[1], &needleLen); - haystackStr = Tcl_GetUnicodeFromObj(objv[2], &haystackLen); - if (objc == 4) { - /* - * If a startIndex is specified, we will need to fast forward to that - * point in the string before we think about a match. - */ + int size = Tcl_GetCharLength(objv[2]); - if (TclGetIntForIndexM(interp, objv[3], haystackLen-1, - &start) != TCL_OK){ + if (TCL_OK != TclGetIntForIndexM(interp, objv[3], size - 1, &start)) { return TCL_ERROR; } - /* - * Reread to prevent shimmering problems. - */ - - needleStr = Tcl_GetUnicodeFromObj(objv[1], &needleLen); - haystackStr = Tcl_GetUnicodeFromObj(objv[2], &haystackLen); - - if (start >= haystackLen) { - goto str_first_done; - } else if (start > 0) { - haystackStr += start; - haystackLen -= start; - } else if (start < 0) { - /* - * Invalid start index mapped to string start; Bug #423581 - */ - + if (start < 0) { start = 0; } - } - - /* - * If the length of the needle is more than the length of the haystack, it - * cannot be contained in there so we can avoid searching. [Bug 2960021] - */ - - if (needleLen > 0 && needleLen <= haystackLen) { - register Tcl_UniChar *p, *end; - - end = haystackStr + haystackLen - needleLen + 1; - for (p = haystackStr; p < end; p++) { - /* - * Scan forward to find the first character. - */ - - if ((*p == *needleStr) && (memcmp(needleStr, p, - sizeof(Tcl_UniChar) * (size_t)needleLen) == 0)) { - match = p - haystackStr; - break; - } + if (start >= size) { + Tcl_SetObjResult(interp, Tcl_NewIntObj(-1)); + return TCL_OK; } } - - /* - * Compute the character index of the matching string by counting the - * number of characters before the match. - */ - - if ((match != -1) && (objc == 4)) { - match += start; - } - - str_first_done: - Tcl_SetObjResult(interp, Tcl_NewIntObj(match)); + Tcl_SetObjResult(interp, Tcl_NewIntObj(TclStringFind(objv[1], + objv[2], start))); return TCL_OK; } -- cgit v0.12 From b2c104021f192aefe7b82d283176e941b7f0a01e Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 7 Nov 2016 19:41:15 +0000 Subject: Consolidate the "find empty string" cases. --- generic/tclStringObj.c | 27 +++++++++++---------------- 1 file changed, 11 insertions(+), 16 deletions(-) diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index 6e1529c..0c0121e 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -2862,22 +2862,22 @@ TclStringFind( Tcl_Obj *haystack, unsigned int start) { - int ln, lh; + int lh, ln = Tcl_GetCharLength(needle); + + if (ln == 0) { + /* + * We don't find empty substrings. Bizarre! + * + * TODO: When we one day make this a true substring + * finder, change this to "return 0" + */ + return -1; + } if (TclIsPureByteArray(needle) && TclIsPureByteArray(haystack)) { unsigned char *end, *try, *bh; unsigned char *bn = Tcl_GetByteArrayFromObj(needle, &ln); - if (ln == 0) { - /* - * We don't find empty substrings. Bizarre! - * - * TODO: When we one day make this a true substring - * finder, change this to "return 0" - */ - return -1; - } - bh = Tcl_GetByteArrayFromObj(haystack, &lh); end = bh + lh; @@ -2902,11 +2902,6 @@ TclStringFind( Tcl_UniChar *try, *end, *uh; Tcl_UniChar *un = Tcl_GetUnicodeFromObj(needle, &ln); - if (ln == 0) { - /* See above */ - return -1; - } - uh = Tcl_GetUnicodeFromObj(haystack, &lh); end = uh + lh; -- cgit v0.12 From 96b75029d111bab1f01acea88795c774b96b4f6e Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 7 Nov 2016 20:04:22 +0000 Subject: Optimize case of all single-byte chars. --- generic/tclStringObj.c | 22 ++++++++++++++++++++-- 1 file changed, 20 insertions(+), 2 deletions(-) diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index 0c0121e..edba881 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -2896,9 +2896,27 @@ TclStringFind( return -1; } - /* TODO: Detect and optimize case with single byte chars only */ + lh = Tcl_GetCharLength(haystack); + if (haystack->bytes && (lh == haystack->length)) { + /* haystack is all single-byte chars */ - { + if (needle->bytes && (ln == needle->length)) { + /* needle is also all single-byte chars */ + char *found = strstr(haystack->bytes + start, needle->bytes); + + if (found) { + return (found - haystack->bytes); + } else { + return -1; + } + } else { + /* + * Cannot find substring with a multi-byte char inside + * a string with no multi-byte chars. + */ + return -1; + } + } else { Tcl_UniChar *try, *end, *uh; Tcl_UniChar *un = Tcl_GetUnicodeFromObj(needle, &ln); -- cgit v0.12 From b1c86e9055e5384cf165f8e509583067d4b32796 Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 7 Nov 2016 20:18:30 +0000 Subject: Purge disabled code. --- generic/tclExecute.c | 17 ----------------- 1 file changed, 17 deletions(-) diff --git a/generic/tclExecute.c b/generic/tclExecute.c index 5ea199d..a44451f 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -5720,24 +5720,7 @@ TEBCresume( NEXT_INST_V(1, 3, 1); case INST_STR_FIND: -#if 1 match = TclStringFind(OBJ_UNDER_TOS, OBJ_AT_TOS, 0); -#else - ustring1 = Tcl_GetUnicodeFromObj(OBJ_AT_TOS, &length); /* Haystack */ - ustring2 = Tcl_GetUnicodeFromObj(OBJ_UNDER_TOS, &length2);/* Needle */ - - match = -1; - if (length2 > 0 && length2 <= length) { - end = ustring1 + length - length2 + 1; - for (p=ustring1 ; p %d\n", O2S(OBJ_UNDER_TOS), O2S(OBJ_AT_TOS), match)); -- cgit v0.12 From cad330bea5eb1c5fa6958b11506b10529846eb00 Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 8 Nov 2016 02:56:11 +0000 Subject: Route all [string last] operations through a common implementation. --- generic/tclCmdMZ.c | 67 +++++-------------------------- generic/tclExecute.c | 15 +------ generic/tclInt.h | 4 +- generic/tclStringObj.c | 106 ++++++++++++++++++++++++++++++++++++++++++++++++- tests/string.test | 4 +- 5 files changed, 122 insertions(+), 74 deletions(-) diff --git a/generic/tclCmdMZ.c b/generic/tclCmdMZ.c index be77b1f..e9a6933 100644 --- a/generic/tclCmdMZ.c +++ b/generic/tclCmdMZ.c @@ -1229,76 +1229,31 @@ StringLastCmd( int objc, /* Number of arguments. */ Tcl_Obj *const objv[]) /* Argument objects. */ { - Tcl_UniChar *needleStr, *haystackStr, *p; - int match, start, needleLen, haystackLen; + int last = INT_MAX - 1; if (objc < 3 || objc > 4) { Tcl_WrongNumArgs(interp, 1, objv, - "needleString haystackString ?startIndex?"); + "needleString haystackString ?lastIndex?"); return TCL_ERROR; } - /* - * We are searching haystackString for the sequence needleString. - */ - - match = -1; - start = 0; - haystackLen = -1; - - needleStr = Tcl_GetUnicodeFromObj(objv[1], &needleLen); - haystackStr = Tcl_GetUnicodeFromObj(objv[2], &haystackLen); - if (objc == 4) { - /* - * If a startIndex is specified, we will need to restrict the string - * range to that char index in the string - */ + int size = Tcl_GetCharLength(objv[2]); - if (TclGetIntForIndexM(interp, objv[3], haystackLen-1, - &start) != TCL_OK){ + if (TCL_OK != TclGetIntForIndexM(interp, objv[3], size - 1, &last)) { return TCL_ERROR; } - /* - * Reread to prevent shimmering problems. - */ - - needleStr = Tcl_GetUnicodeFromObj(objv[1], &needleLen); - haystackStr = Tcl_GetUnicodeFromObj(objv[2], &haystackLen); - - if (start < 0) { - goto str_last_done; - } else if (start < haystackLen) { - p = haystackStr + start + 1 - needleLen; - } else { - p = haystackStr + haystackLen - needleLen; + if (last < 0) { + Tcl_SetObjResult(interp, Tcl_NewIntObj(-1)); + return TCL_OK; } - } else { - p = haystackStr + haystackLen - needleLen; - } - - /* - * If the length of the needle is more than the length of the haystack, it - * cannot be contained in there so we can avoid searching. [Bug 2960021] - */ - - if (needleLen > 0 && needleLen <= haystackLen) { - for (; p >= haystackStr; p--) { - /* - * Scan backwards to find the first character. - */ - - if ((*p == *needleStr) && !memcmp(needleStr, p, - sizeof(Tcl_UniChar) * (size_t)needleLen)) { - match = p - haystackStr; - break; - } + if (last >= size) { + last = size - 1; } } - - str_last_done: - Tcl_SetObjResult(interp, Tcl_NewIntObj(match)); + Tcl_SetObjResult(interp, Tcl_NewIntObj(TclStringLast(objv[1], + objv[2], last))); return TCL_OK; } diff --git a/generic/tclExecute.c b/generic/tclExecute.c index a44451f..0d48071 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -5728,23 +5728,10 @@ TEBCresume( NEXT_INST_F(1, 2, 1); case INST_STR_FIND_LAST: - ustring1 = Tcl_GetUnicodeFromObj(OBJ_AT_TOS, &length); /* Haystack */ - ustring2 = Tcl_GetUnicodeFromObj(OBJ_UNDER_TOS, &length2);/* Needle */ - - match = -1; - if (length2 > 0 && length2 <= length) { - for (p=ustring1+length-length2 ; p>=ustring1 ; p--) { - if ((*p == *ustring2) && - memcmp(ustring2,p,sizeof(Tcl_UniChar)*length2) == 0) { - match = p - ustring1; - break; - } - } - } + match = TclStringLast(OBJ_UNDER_TOS, OBJ_AT_TOS, INT_MAX - 1); TRACE(("%.20s %.20s => %d\n", O2S(OBJ_UNDER_TOS), O2S(OBJ_AT_TOS), match)); - TclNewIntObj(objResultPtr, match); NEXT_INST_F(1, 2, 1); diff --git a/generic/tclInt.h b/generic/tclInt.h index 26592f9..e468f3d 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -3139,7 +3139,9 @@ MODULE_SCOPE int TclStringCatObjv(Tcl_Interp *interp, int inPlace, int objc, Tcl_Obj *const objv[], Tcl_Obj **objPtrPtr); MODULE_SCOPE int TclStringFind(Tcl_Obj *needle, Tcl_Obj *haystack, - unsigned int start); + int start); +MODULE_SCOPE int TclStringLast(Tcl_Obj *needle, Tcl_Obj *haystack, + int last); MODULE_SCOPE int TclStringMatch(const char *str, int strLen, const char *pattern, int ptnLen, int flags); MODULE_SCOPE int TclStringMatchObj(Tcl_Obj *stringObj, diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index edba881..f7791fe 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -2860,7 +2860,7 @@ int TclStringFind( Tcl_Obj *needle, Tcl_Obj *haystack, - unsigned int start) + int start) { int lh, ln = Tcl_GetCharLength(needle); @@ -2938,6 +2938,110 @@ TclStringFind( /* *--------------------------------------------------------------------------- * + * TclStringLast -- + * + * Implements the [string last] operation. + * + * Results: + * If needle is found as a substring of haystack, the index of the + * last instance of such a find is returned. If needle is not present + * as a substring of haystack, -1 is returned. + * + * Side effects: + * needle and haystack may have their Tcl_ObjType changed. + * + *--------------------------------------------------------------------------- + */ + +int +TclStringLast( + Tcl_Obj *needle, + Tcl_Obj *haystack, + int last) +{ + int lh, ln = Tcl_GetCharLength(needle); + + if (ln == 0) { + /* + * We don't find empty substrings. Bizarre! + * + * TODO: When we one day make this a true substring + * finder, change this to "return 0" + */ + return -1; + } + + if (ln > last + 1) { + return -1; + } + + if (TclIsPureByteArray(needle) && TclIsPureByteArray(haystack)) { + unsigned char *try, *bh; + unsigned char *bn = Tcl_GetByteArrayFromObj(needle, &ln); + + bh = Tcl_GetByteArrayFromObj(haystack, &lh); + + if (last + 1 > lh) { + last = lh - 1; + } + try = bh + last + 1 - ln; + while (try >= bh) { + if ((*try == bn[0]) + && (0 == memcmp(try+1, bn+1, ln-1))) { + return (try - bh); + } + try--; + } + return -1; + } + + lh = Tcl_GetCharLength(haystack); + if (last + 1 > lh) { + last = lh - 1; + } + if (haystack->bytes && (lh == haystack->length)) { + /* haystack is all single-byte chars */ + + if (needle->bytes && (ln == needle->length)) { + /* needle is also all single-byte chars */ + + char *try = haystack->bytes + last + 1 - ln; + while (try >= haystack->bytes) { + if ((*try == needle->bytes[0]) + && (0 == memcmp(try+1, needle->bytes + 1, ln - 1))) { + return (try - haystack->bytes); + } + try--; + } + return -1; + } else { + /* + * Cannot find substring with a multi-byte char inside + * a string with no multi-byte chars. + */ + return -1; + } + } else { + Tcl_UniChar *try, *uh; + Tcl_UniChar *un = Tcl_GetUnicodeFromObj(needle, &ln); + + uh = Tcl_GetUnicodeFromObj(haystack, &lh); + + try = uh + last + 1 - ln; + while (try >= uh) { + if ((*try == un[0]) + && (0 == memcmp(try+1, un+1, (ln-1)*sizeof(Tcl_UniChar)))) { + return (try - uh); + } + try--; + } + return -1; + } +} + +/* + *--------------------------------------------------------------------------- + * * TclStringObjReverse -- * * Implements the [string reverse] operation. diff --git a/tests/string.test b/tests/string.test index 5fdb510..11cbcff 100644 --- a/tests/string.test +++ b/tests/string.test @@ -756,13 +756,13 @@ catch {rename largest_int {}} test string-7.1 {string last, too few args} { list [catch {string last a} msg] $msg -} {1 {wrong # args: should be "string last needleString haystackString ?startIndex?"}} +} {1 {wrong # args: should be "string last needleString haystackString ?lastIndex?"}} test string-7.2 {string last, bad args} { list [catch {string last a b c} msg] $msg } {1 {bad index "c": must be integer?[+-]integer? or end?[+-]integer?}} test string-7.3 {string last, too many args} { list [catch {string last a b c d} msg] $msg -} {1 {wrong # args: should be "string last needleString haystackString ?startIndex?"}} +} {1 {wrong # args: should be "string last needleString haystackString ?lastIndex?"}} test string-7.4 {string last} { string la xxx xxxx123xx345x678 } 1 -- cgit v0.12 From 5ce60a33287e4745db2567abbed8ae8cc909b8c2 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 11 Nov 2016 14:53:58 +0000 Subject: Fix harmless gcc warning message: using "unsigned" doesn't serve any purpose, actually. --- generic/tclInt.decls | 2 +- generic/tclIntPlatDecls.h | 12 ++++++------ generic/tclTest.c | 6 +++--- unix/tclUnixCompat.c | 4 ++-- win/tclWin32Dll.c | 4 ++-- win/tclWinTime.c | 2 +- 6 files changed, 15 insertions(+), 15 deletions(-) diff --git a/generic/tclInt.decls b/generic/tclInt.decls index c00dff1..8314925 100644 --- a/generic/tclInt.decls +++ b/generic/tclInt.decls @@ -1246,7 +1246,7 @@ declare 19 macosx { } declare 29 {win unix} { - int TclWinCPUID(unsigned int index, unsigned int *regs) + int TclWinCPUID(int index, int *regs) } # Added in 8.6; core of TclpOpenTemporaryFile declare 30 {win unix} { diff --git a/generic/tclIntPlatDecls.h b/generic/tclIntPlatDecls.h index ac06787..494d6f1 100644 --- a/generic/tclIntPlatDecls.h +++ b/generic/tclIntPlatDecls.h @@ -98,7 +98,7 @@ EXTERN int TclUnixCopyFile(const char *src, const char *dst, /* Slot 27 is reserved */ /* Slot 28 is reserved */ /* 29 */ -EXTERN int TclWinCPUID(unsigned int index, unsigned int *regs); +EXTERN int TclWinCPUID(int index, int *regs); /* 30 */ EXTERN int TclUnixOpenTemporaryFile(Tcl_Obj *dirObj, Tcl_Obj *basenameObj, Tcl_Obj *extensionObj, @@ -173,7 +173,7 @@ EXTERN void TclWinFlushDirtyChannels(void); /* 28 */ EXTERN void TclWinResetInterfaces(void); /* 29 */ -EXTERN int TclWinCPUID(unsigned int index, unsigned int *regs); +EXTERN int TclWinCPUID(int index, int *regs); /* 30 */ EXTERN int TclUnixOpenTemporaryFile(Tcl_Obj *dirObj, Tcl_Obj *basenameObj, Tcl_Obj *extensionObj, @@ -247,7 +247,7 @@ EXTERN void TclMacOSXNotifierAddRunLoopMode( /* Slot 27 is reserved */ /* Slot 28 is reserved */ /* 29 */ -EXTERN int TclWinCPUID(unsigned int index, unsigned int *regs); +EXTERN int TclWinCPUID(int index, int *regs); /* 30 */ EXTERN int TclUnixOpenTemporaryFile(Tcl_Obj *dirObj, Tcl_Obj *basenameObj, Tcl_Obj *extensionObj, @@ -288,7 +288,7 @@ typedef struct TclIntPlatStubs { void (*reserved26)(void); void (*reserved27)(void); void (*reserved28)(void); - int (*tclWinCPUID) (unsigned int index, unsigned int *regs); /* 29 */ + int (*tclWinCPUID) (int index, int *regs); /* 29 */ int (*tclUnixOpenTemporaryFile) (Tcl_Obj *dirObj, Tcl_Obj *basenameObj, Tcl_Obj *extensionObj, Tcl_Obj *resultingNameObj); /* 30 */ #endif /* UNIX */ #if defined(_WIN32) || defined(__CYGWIN__) /* WIN */ @@ -321,7 +321,7 @@ typedef struct TclIntPlatStubs { void (*tclWinSetInterfaces) (int wide); /* 26 */ void (*tclWinFlushDirtyChannels) (void); /* 27 */ void (*tclWinResetInterfaces) (void); /* 28 */ - int (*tclWinCPUID) (unsigned int index, unsigned int *regs); /* 29 */ + int (*tclWinCPUID) (int index, int *regs); /* 29 */ int (*tclUnixOpenTemporaryFile) (Tcl_Obj *dirObj, Tcl_Obj *basenameObj, Tcl_Obj *extensionObj, Tcl_Obj *resultingNameObj); /* 30 */ #endif /* WIN */ #ifdef MAC_OSX_TCL /* MACOSX */ @@ -354,7 +354,7 @@ typedef struct TclIntPlatStubs { void (*reserved26)(void); void (*reserved27)(void); void (*reserved28)(void); - int (*tclWinCPUID) (unsigned int index, unsigned int *regs); /* 29 */ + int (*tclWinCPUID) (int index, int *regs); /* 29 */ int (*tclUnixOpenTemporaryFile) (Tcl_Obj *dirObj, Tcl_Obj *basenameObj, Tcl_Obj *extensionObj, Tcl_Obj *resultingNameObj); /* 30 */ #endif /* MACOSX */ } TclIntPlatStubs; diff --git a/generic/tclTest.c b/generic/tclTest.c index 47d85e1..e30c4d0 100644 --- a/generic/tclTest.c +++ b/generic/tclTest.c @@ -6751,7 +6751,7 @@ TestcpuidCmd( Tcl_Obj *const * objv) /* Parameter vector */ { int status, index, i; - unsigned int regs[4]; + int regs[4]; Tcl_Obj *regsObjs[4]; if (objc != 2) { @@ -6761,14 +6761,14 @@ TestcpuidCmd( if (Tcl_GetIntFromObj(interp, objv[1], &index) != TCL_OK) { return TCL_ERROR; } - status = TclWinCPUID((unsigned) index, regs); + status = TclWinCPUID(index, regs); if (status != TCL_OK) { Tcl_SetObjResult(interp, Tcl_NewStringObj("operation not available", -1)); return status; } for (i=0 ; i<4 ; ++i) { - regsObjs[i] = Tcl_NewIntObj((int) regs[i]); + regsObjs[i] = Tcl_NewIntObj(regs[i]); } Tcl_SetObjResult(interp, Tcl_NewListObj(4, regsObjs)); return TCL_OK; diff --git a/unix/tclUnixCompat.c b/unix/tclUnixCompat.c index 1247061..ea6067e 100644 --- a/unix/tclUnixCompat.c +++ b/unix/tclUnixCompat.c @@ -988,8 +988,8 @@ CopyString( int TclWinCPUID( - unsigned int index, /* Which CPUID value to retrieve. */ - unsigned int *regsPtr) /* Registers after the CPUID. */ + int index, /* Which CPUID value to retrieve. */ + int *regsPtr) /* Registers after the CPUID. */ { int status = TCL_ERROR; diff --git a/win/tclWin32Dll.c b/win/tclWin32Dll.c index 688fa8d..d8a8717 100644 --- a/win/tclWin32Dll.c +++ b/win/tclWin32Dll.c @@ -603,8 +603,8 @@ Tcl_WinTCharToUtf( int TclWinCPUID( - unsigned int index, /* Which CPUID value to retrieve. */ - unsigned int *regsPtr) /* Registers after the CPUID. */ + int index, /* Which CPUID value to retrieve. */ + int *regsPtr) /* Registers after the CPUID. */ { int status = TCL_ERROR; diff --git a/win/tclWinTime.c b/win/tclWinTime.c index 7b5c18a..f4e08fa 100644 --- a/win/tclWinTime.c +++ b/win/tclWinTime.c @@ -341,7 +341,7 @@ NativeGetTime( */ SYSTEM_INFO systemInfo; - unsigned int regs[4]; + int regs[4]; GetSystemInfo(&systemInfo); if (TclWinCPUID(0, regs) == TCL_OK -- cgit v0.12 From 29606e4a7b43adb9f923fb5781d3b9a93d9ba1c8 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 16 Nov 2016 10:55:40 +0000 Subject: Use more "size_t" in stead of "int" internall. Also eliminate a lot of type-casts which are not necessary any more. --- compat/opendir.c | 2 +- compat/waitpid.c | 2 +- generic/tclBasic.c | 18 +++++++++--------- generic/tclCompCmdsSZ.c | 8 ++++---- generic/tclCompile.c | 8 ++++---- generic/tclConfig.c | 8 ++++---- generic/tclEncoding.c | 22 +++++++++++----------- generic/tclEnsemble.c | 2 +- generic/tclExecute.c | 8 ++++---- generic/tclIORChan.c | 18 +++++++++--------- generic/tclIORTrans.c | 26 +++++++++++++------------- generic/tclInt.h | 26 +++++++++++++------------- generic/tclListObj.c | 2 +- generic/tclOODefineCmds.c | 12 ++++++------ generic/tclOOInt.h | 2 +- generic/tclUtil.c | 27 +++++++++++++-------------- macosx/tclMacOSXFCmd.c | 6 +++--- unix/tclUnixInit.c | 9 +++++---- unix/tclUnixSock.c | 6 +++--- win/tclWin32Dll.c | 2 +- win/tclWinInit.c | 17 +++++++++-------- win/tclWinPort.h | 2 +- win/tclWinSock.c | 6 +++--- win/tclWinThrd.c | 2 +- 24 files changed, 121 insertions(+), 120 deletions(-) diff --git a/compat/opendir.c b/compat/opendir.c index 22e8a3a..7a49566 100644 --- a/compat/opendir.c +++ b/compat/opendir.c @@ -106,5 +106,5 @@ closedir( close(dirp->dd_fd); dirp->dd_fd = -1; dirp->dd_loc = 0; - ckfree((char *) dirp); + ckfree(dirp); } diff --git a/compat/waitpid.c b/compat/waitpid.c index e03275a..d4473a8 100644 --- a/compat/waitpid.c +++ b/compat/waitpid.c @@ -100,7 +100,7 @@ waitpid( } else { prevPtr->nextPtr = waitPtr->nextPtr; } - ckfree((char *) waitPtr); + ckfree(waitPtr); return result; } diff --git a/generic/tclBasic.c b/generic/tclBasic.c index 53023d8..39f2dd4 100644 --- a/generic/tclBasic.c +++ b/generic/tclBasic.c @@ -966,11 +966,11 @@ Tcl_CreateInterp(void) Tcl_PkgProvideEx(interp, "Tcl", TCL_PATCH_LEVEL, &tclStubs); if (TclTommath_Init(interp) != TCL_OK) { - Tcl_Panic("%s", Tcl_GetString(Tcl_GetObjResult(interp))); + Tcl_Panic("%s", TclGetString(Tcl_GetObjResult(interp))); } if (TclOOInit(interp) != TCL_OK) { - Tcl_Panic("%s", Tcl_GetString(Tcl_GetObjResult(interp))); + Tcl_Panic("%s", TclGetString(Tcl_GetObjResult(interp))); } /* @@ -980,7 +980,7 @@ Tcl_CreateInterp(void) #ifdef HAVE_ZLIB if (TclZlibInit(interp) != TCL_OK) { - Tcl_Panic("%s", Tcl_GetString(Tcl_GetObjResult(interp))); + Tcl_Panic("%s", TclGetString(Tcl_GetObjResult(interp))); } #endif @@ -1635,7 +1635,7 @@ DeleteInterpProc( } Tcl_DeleteHashTable(iPtr->lineLAPtr); - ckfree((char *) iPtr->lineLAPtr); + ckfree(iPtr->lineLAPtr); iPtr->lineLAPtr = NULL; if (iPtr->lineLABCPtr->numEntries && !TclInExit()) { @@ -2403,7 +2403,7 @@ TclInvokeStringCommand( TclStackAlloc(interp, (unsigned)(objc + 1) * sizeof(char *)); for (i = 0; i < objc; i++) { - argv[i] = Tcl_GetString(objv[i]); + argv[i] = TclGetString(objv[i]); } argv[objc] = 0; @@ -2657,7 +2657,7 @@ TclRenameCommand( } Tcl_DStringAppend(&newFullName, newTail, -1); cmdPtr->refCount++; - CallCommandTraces(iPtr, cmdPtr, Tcl_GetString(oldFullName), + CallCommandTraces(iPtr, cmdPtr, TclGetString(oldFullName), Tcl_DStringValue(&newFullName), TCL_TRACE_RENAME); Tcl_DStringFree(&newFullName); @@ -3523,7 +3523,7 @@ OldMathFuncProc( Tcl_SetObjResult(interp, Tcl_NewStringObj( "argument to math function didn't have numeric value", -1)); - TclCheckBadOctal(interp, Tcl_GetString(valuePtr)); + TclCheckBadOctal(interp, TclGetString(valuePtr)); ckfree(args); return TCL_ERROR; } @@ -7884,7 +7884,7 @@ MathFuncWrongNumArgs( int found, /* Actual parameter count. */ Tcl_Obj *const *objv) /* Actual parameter vector. */ { - const char *name = Tcl_GetString(objv[0]); + const char *name = TclGetString(objv[0]); const char *tail = name + strlen(name); while (tail > name+1) { @@ -8817,7 +8817,7 @@ TclNRInterpCoroutine( if (!COR_IS_SUSPENDED(corPtr)) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( "coroutine \"%s\" is already running", - Tcl_GetString(objv[0]))); + TclGetString(objv[0]))); Tcl_SetErrorCode(interp, "TCL", "COROUTINE", "BUSY", NULL); return TCL_ERROR; } diff --git a/generic/tclCompCmdsSZ.c b/generic/tclCompCmdsSZ.c index 10b3cc8..25d10d6 100644 --- a/generic/tclCompCmdsSZ.c +++ b/generic/tclCompCmdsSZ.c @@ -1902,10 +1902,10 @@ TclCompileSwitchCmd( } if (numWords % 2) { abort: - ckfree((char *) bodyToken); - ckfree((char *) bodyTokenArray); - ckfree((char *) bodyLines); - ckfree((char *) bodyContLines); + ckfree(bodyToken); + ckfree(bodyTokenArray); + ckfree(bodyLines); + ckfree(bodyContLines); return TCL_ERROR; } } else if (numWords % 2 || numWords == 0) { diff --git a/generic/tclCompile.c b/generic/tclCompile.c index c588731..c02a940 100644 --- a/generic/tclCompile.c +++ b/generic/tclCompile.c @@ -1380,14 +1380,14 @@ ReleaseCmdWordData( Tcl_DecrRefCount(eclPtr->path); } for (i=0 ; inuloc ; i++) { - ckfree((char *) eclPtr->loc[i].line); + ckfree(eclPtr->loc[i].line); } if (eclPtr->loc != NULL) { - ckfree((char *) eclPtr->loc); + ckfree(eclPtr->loc); } - ckfree((char *) eclPtr); + ckfree(eclPtr); } /* @@ -1801,7 +1801,7 @@ CompileCmdLiteral( extraLiteralFlags |= LITERAL_UNSHARED; } - bytes = Tcl_GetStringFromObj(cmdObj, &numBytes); + bytes = TclGetStringFromObj(cmdObj, &numBytes); cmdLitIdx = TclRegisterLiteral(envPtr, bytes, numBytes, extraLiteralFlags); if (cmdPtr) { diff --git a/generic/tclConfig.c b/generic/tclConfig.c index 2fb3e92..eb6807c 100644 --- a/generic/tclConfig.c +++ b/generic/tclConfig.c @@ -232,7 +232,7 @@ QueryConfigObjCmd( Tcl_SetObjResult(interp, Tcl_NewStringObj("package not known", -1)); Tcl_SetErrorCode(interp, "TCL", "FATAL", "PKGCFG_BASE", - Tcl_GetString(pkgName), NULL); + TclGetString(pkgName), NULL); return TCL_ERROR; } @@ -247,7 +247,7 @@ QueryConfigObjCmd( || val == NULL) { Tcl_SetObjResult(interp, Tcl_NewStringObj("key not known", -1)); Tcl_SetErrorCode(interp, "TCL", "LOOKUP", "CONFIG", - Tcl_GetString(objv[2]), NULL); + TclGetString(objv[2]), NULL); return TCL_ERROR; } @@ -333,9 +333,9 @@ QueryConfigDelete( Tcl_DictObjRemove(NULL, pDB, pkgName); Tcl_DecrRefCount(pkgName); if (cdPtr->encoding) { - ckfree((char *)cdPtr->encoding); + ckfree(cdPtr->encoding); } - ckfree((char *)cdPtr); + ckfree(cdPtr); } /* diff --git a/generic/tclEncoding.c b/generic/tclEncoding.c index 42be211..8a4dc3b 100644 --- a/generic/tclEncoding.c +++ b/generic/tclEncoding.c @@ -305,7 +305,7 @@ Tcl_GetEncodingFromObj( Tcl_Obj *objPtr, Tcl_Encoding *encodingPtr) { - const char *name = Tcl_GetString(objPtr); + const char *name = TclGetString(objPtr); if (objPtr->typePtr != &encodingType) { Tcl_Encoding encoding = Tcl_GetEncoding(interp, name); @@ -705,7 +705,7 @@ Tcl_GetDefaultEncodingDir(void) } Tcl_ListObjIndex(NULL, searchPath, 0, &first); - return Tcl_GetString(first); + return TclGetString(first); } /* @@ -1519,10 +1519,10 @@ OpenEncodingFileChannel( } } if (!verified) { - const char *dirString = Tcl_GetString(directory); + const char *dirString = TclGetString(directory); for (i=0; itoUnicode[hi] = pageMemPtr; p += 2; @@ -3600,11 +3600,11 @@ unilen( static void InitializeEncodingSearchPath( char **valuePtr, - int *lengthPtr, + size_t *lengthPtr, Tcl_Encoding *encodingPtr) { const char *bytes; - int i, numDirs, numBytes; + int i, numDirs; Tcl_Obj *libPathObj, *encodingObj, *searchPathObj; TclNewLiteralStringObj(encodingObj, "encoding"); @@ -3634,11 +3634,11 @@ InitializeEncodingSearchPath( if (*encodingPtr) { ((Encoding *)(*encodingPtr))->refCount++; } - bytes = TclGetStringFromObj(searchPathObj, &numBytes); + bytes = TclGetString(searchPathObj); - *lengthPtr = numBytes; - *valuePtr = ckalloc(numBytes + 1); - memcpy(*valuePtr, bytes, (size_t) numBytes + 1); + *lengthPtr = searchPathObj->length; + *valuePtr = ckalloc(*lengthPtr + 1); + memcpy(*valuePtr, bytes, *lengthPtr + 1); Tcl_DecrRefCount(searchPathObj); } diff --git a/generic/tclEnsemble.c b/generic/tclEnsemble.c index a499ce9..c6407a4 100644 --- a/generic/tclEnsemble.c +++ b/generic/tclEnsemble.c @@ -1605,7 +1605,7 @@ TclMakeEnsemble( Tcl_DStringFree(&buf); Tcl_DStringFree(&hiddenBuf); if (nameParts != NULL) { - ckfree((char *) nameParts); + ckfree(nameParts); } return ensemble; } diff --git a/generic/tclExecute.c b/generic/tclExecute.c index 0d48071..1cfc030 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -1274,7 +1274,7 @@ TclStackFree( Tcl_Obj **markerPtr, *marker; if (iPtr == NULL || iPtr->execEnvPtr == NULL) { - ckfree((char *) freePtr); + ckfree(freePtr); return; } @@ -2537,7 +2537,7 @@ TEBCresume( /* FIXME: What is the right thing to trace? */ fprintf(stdout, "%d: (%u) yielding to [%.30s]\n", iPtr->numLevels, (unsigned)(pc - codePtr->codeStart), - Tcl_GetString(valuePtr)); + TclGetString(valuePtr)); } fflush(stdout); } @@ -9558,7 +9558,7 @@ ValidatePcAndStackTop( TclNewLiteralStringObj(message, "\n executing "); Tcl_IncrRefCount(message); Tcl_AppendLimitedToObj(message, cmd, numChars, 100, NULL); - fprintf(stderr,"%s\n", Tcl_GetString(message)); + fprintf(stderr,"%s\n", TclGetString(message)); Tcl_DecrRefCount(message); } else { fprintf(stderr, "\n"); @@ -10021,7 +10021,7 @@ TclExprFloatError( "unknown floating-point error, errno = %d", errno); Tcl_SetErrorCode(interp, "ARITH", "UNKNOWN", - Tcl_GetString(objPtr), NULL); + TclGetString(objPtr), NULL); Tcl_SetObjResult(interp, objPtr); } } diff --git a/generic/tclIORChan.c b/generic/tclIORChan.c index 1089d2b..2fed3f4 100644 --- a/generic/tclIORChan.c +++ b/generic/tclIORChan.c @@ -591,7 +591,7 @@ TclChanCreateObjCmd( if (Tcl_ListObjGetElements(NULL, resObj, &listc, &listv) != TCL_OK) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( "chan handler \"%s initialize\" returned non-list: %s", - Tcl_GetString(cmdObj), Tcl_GetString(resObj))); + TclGetString(cmdObj), TclGetString(resObj))); Tcl_DecrRefCount(resObj); goto error; } @@ -617,35 +617,35 @@ TclChanCreateObjCmd( if ((REQUIRED_METHODS & methods) != REQUIRED_METHODS) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( "chan handler \"%s\" does not support all required methods", - Tcl_GetString(cmdObj))); + TclGetString(cmdObj))); goto error; } if ((mode & TCL_READABLE) && !HAS(methods, METH_READ)) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( "chan handler \"%s\" lacks a \"read\" method", - Tcl_GetString(cmdObj))); + TclGetString(cmdObj))); goto error; } if ((mode & TCL_WRITABLE) && !HAS(methods, METH_WRITE)) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( "chan handler \"%s\" lacks a \"write\" method", - Tcl_GetString(cmdObj))); + TclGetString(cmdObj))); goto error; } if (!IMPLIES(HAS(methods, METH_CGET), HAS(methods, METH_CGETALL))) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( "chan handler \"%s\" supports \"cget\" but not \"cgetall\"", - Tcl_GetString(cmdObj))); + TclGetString(cmdObj))); goto error; } if (!IMPLIES(HAS(methods, METH_CGETALL), HAS(methods, METH_CGET))) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( "chan handler \"%s\" supports \"cgetall\" but not \"cget\"", - Tcl_GetString(cmdObj))); + TclGetString(cmdObj))); goto error; } @@ -1152,7 +1152,7 @@ ReflectClose( tctPtr = ((Channel *)rcPtr->chan)->typePtr; if (tctPtr && tctPtr != &tclRChannelType) { - ckfree((char *)tctPtr); + ckfree(tctPtr); ((Channel *)rcPtr->chan)->typePtr = NULL; } Tcl_EventuallyFree(rcPtr, (Tcl_FreeProc *) FreeReflectedChannel); @@ -1221,7 +1221,7 @@ ReflectClose( #endif tctPtr = ((Channel *)rcPtr->chan)->typePtr; if (tctPtr && tctPtr != &tclRChannelType) { - ckfree((char *)tctPtr); + ckfree(tctPtr); ((Channel *)rcPtr->chan)->typePtr = NULL; } Tcl_EventuallyFree(rcPtr, (Tcl_FreeProc *) FreeReflectedChannel); @@ -2398,7 +2398,7 @@ ErrnoReturn( if (((Tcl_GetIntFromObj(rcPtr->interp, resObj, &code) != TCL_OK) || (code >= 0))) { - if (strcmp("EAGAIN", Tcl_GetString(resObj)) == 0) { + if (strcmp("EAGAIN", TclGetString(resObj)) == 0) { code = -EAGAIN; } else { code = 0; diff --git a/generic/tclIORTrans.c b/generic/tclIORTrans.c index 47e0bc8..8375926 100644 --- a/generic/tclIORTrans.c +++ b/generic/tclIORTrans.c @@ -554,7 +554,7 @@ TclChanPushObjCmd( */ chanObj = objv[CHAN]; - parentChan = Tcl_GetChannel(interp, Tcl_GetString(chanObj), &mode); + parentChan = Tcl_GetChannel(interp, TclGetString(chanObj), &mode); if (parentChan == NULL) { return TCL_ERROR; } @@ -608,7 +608,7 @@ TclChanPushObjCmd( if (Tcl_ListObjGetElements(NULL, resObj, &listc, &listv) != TCL_OK) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( "chan handler \"%s initialize\" returned non-list: %s", - Tcl_GetString(cmdObj), Tcl_GetString(resObj))); + TclGetString(cmdObj), TclGetString(resObj))); Tcl_DecrRefCount(resObj); goto error; } @@ -619,7 +619,7 @@ TclChanPushObjCmd( "method", TCL_EXACT, &methIndex) != TCL_OK) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( "chan handler \"%s initialize\" returned %s", - Tcl_GetString(cmdObj), + TclGetString(cmdObj), Tcl_GetString(Tcl_GetObjResult(interp)))); Tcl_DecrRefCount(resObj); goto error; @@ -633,7 +633,7 @@ TclChanPushObjCmd( if ((REQUIRED_METHODS & methods) != REQUIRED_METHODS) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( "chan handler \"%s\" does not support all required methods", - Tcl_GetString(cmdObj))); + TclGetString(cmdObj))); goto error; } @@ -655,7 +655,7 @@ TclChanPushObjCmd( if (!mode) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( "chan handler \"%s\" makes the channel inaccessible", - Tcl_GetString(cmdObj))); + TclGetString(cmdObj))); goto error; } @@ -666,14 +666,14 @@ TclChanPushObjCmd( if (!IMPLIES(HAS(methods, METH_DRAIN), HAS(methods, METH_READ))) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( "chan handler \"%s\" supports \"drain\" but not \"read\"", - Tcl_GetString(cmdObj))); + TclGetString(cmdObj))); goto error; } if (!IMPLIES(HAS(methods, METH_FLUSH), HAS(methods, METH_WRITE))) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( "chan handler \"%s\" supports \"flush\" but not \"write\"", - Tcl_GetString(cmdObj))); + TclGetString(cmdObj))); goto error; } @@ -694,14 +694,14 @@ TclChanPushObjCmd( */ rtmPtr = GetReflectedTransformMap(interp); - hPtr = Tcl_CreateHashEntry(&rtmPtr->map, Tcl_GetString(rtId), &isNew); + hPtr = Tcl_CreateHashEntry(&rtmPtr->map, TclGetString(rtId), &isNew); if (!isNew && rtPtr != Tcl_GetHashValue(hPtr)) { Tcl_Panic("TclChanPushObjCmd: duplicate transformation handle"); } Tcl_SetHashValue(hPtr, rtPtr); #ifdef TCL_THREADS rtmPtr = GetThreadReflectedTransformMap(); - hPtr = Tcl_CreateHashEntry(&rtmPtr->map, Tcl_GetString(rtId), &isNew); + hPtr = Tcl_CreateHashEntry(&rtmPtr->map, TclGetString(rtId), &isNew); Tcl_SetHashValue(hPtr, rtPtr); #endif /* TCL_THREADS */ @@ -1027,7 +1027,7 @@ ReflectClose( #ifdef TCL_THREADS rtmPtr = GetThreadReflectedTransformMap(); - hPtr = Tcl_FindHashEntry(&rtmPtr->map, Tcl_GetString(rtPtr->handle)); + hPtr = Tcl_FindHashEntry(&rtmPtr->map, TclGetString(rtPtr->handle)); if (hPtr) { Tcl_DeleteHashEntry(hPtr); } @@ -2568,7 +2568,7 @@ ForwardProc( */ rtmPtr = GetReflectedTransformMap(interp); - hPtr = Tcl_FindHashEntry(&rtmPtr->map, Tcl_GetString(rtPtr->handle)); + hPtr = Tcl_FindHashEntry(&rtmPtr->map, TclGetString(rtPtr->handle)); Tcl_DeleteHashEntry(hPtr); /* @@ -2578,7 +2578,7 @@ ForwardProc( */ rtmPtr = GetThreadReflectedTransformMap(); - hPtr = Tcl_FindHashEntry(&rtmPtr->map, Tcl_GetString(rtPtr->handle)); + hPtr = Tcl_FindHashEntry(&rtmPtr->map, TclGetString(rtPtr->handle)); Tcl_DeleteHashEntry(hPtr); FreeReflectedTransformArgs(rtPtr); @@ -2955,7 +2955,7 @@ ResultClear( return; } - ckfree((char *) rPtr->buf); + ckfree(rPtr->buf); rPtr->buf = NULL; rPtr->allocated = 0; } diff --git a/generic/tclInt.h b/generic/tclInt.h index e468f3d..3e55004 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -2608,7 +2608,7 @@ typedef Tcl_ObjCmdProc *TclObjCmdProcType; *---------------------------------------------------------------- */ -typedef void (TclInitProcessGlobalValueProc)(char **valuePtr, int *lengthPtr, +typedef void (TclInitProcessGlobalValueProc)(char **valuePtr, size_t *lengthPtr, Tcl_Encoding *encodingPtr); /* @@ -2620,9 +2620,9 @@ typedef void (TclInitProcessGlobalValueProc)(char **valuePtr, int *lengthPtr, */ typedef struct ProcessGlobalValue { - int epoch; /* Epoch counter to detect changes in the + size_t epoch; /* Epoch counter to detect changes in the * master value. */ - int numBytes; /* Length of the master string. */ + size_t numBytes; /* Length of the master string. */ char *value; /* The master string value. */ Tcl_Encoding encoding; /* system encoding when master string was * initialized. */ @@ -3072,7 +3072,7 @@ MODULE_SCOPE int TclpThreadCreate(Tcl_ThreadId *idPtr, int stackSize, int flags); MODULE_SCOPE int TclpFindVariable(const char *name, int *lengthPtr); MODULE_SCOPE void TclpInitLibraryPath(char **valuePtr, - int *lengthPtr, Tcl_Encoding *encodingPtr); + size_t *lengthPtr, Tcl_Encoding *encodingPtr); MODULE_SCOPE void TclpInitLock(void); MODULE_SCOPE void TclpInitPlatform(void); MODULE_SCOPE void TclpInitUnlock(void); @@ -4074,7 +4074,7 @@ typedef const char *TclDTraceStr; TCL_DTRACE_OBJ_FREE(objPtr); \ if ((objPtr)->bytes \ && ((objPtr)->bytes != tclEmptyStringRep)) { \ - ckfree((char *) (objPtr)->bytes); \ + ckfree((objPtr)->bytes); \ } \ (objPtr)->length = -1; \ TclFreeObjStorage(objPtr); \ @@ -4097,7 +4097,7 @@ typedef const char *TclDTraceStr; (objPtr) = (Tcl_Obj *) ckalloc(sizeof(Tcl_Obj)) # define TclFreeObjStorageEx(interp, objPtr) \ - ckfree((char *) (objPtr)) + ckfree(objPtr) #undef USE_THREAD_ALLOC #undef USE_TCLALLOC @@ -4256,7 +4256,7 @@ MODULE_SCOPE void TclDbInitNewObj(Tcl_Obj *objPtr, const char *file, */ #define TclGetString(objPtr) \ - ((objPtr)->bytes? (objPtr)->bytes : Tcl_GetString((objPtr))) + ((objPtr)->bytes? (objPtr)->bytes : Tcl_GetString(objPtr)) #define TclGetStringFromObj(objPtr, lenPtr) \ ((objPtr)->bytes \ @@ -4291,11 +4291,11 @@ MODULE_SCOPE void TclDbInitNewObj(Tcl_Obj *objPtr, const char *file, */ #define TclInvalidateStringRep(objPtr) \ - if (objPtr->bytes != NULL) { \ - if (objPtr->bytes != tclEmptyStringRep) { \ - ckfree((char *) objPtr->bytes); \ + if ((objPtr)->bytes != NULL) { \ + if ((objPtr)->bytes != tclEmptyStringRep) { \ + ckfree((objPtr)->bytes); \ } \ - objPtr->bytes = NULL; \ + (objPtr)->bytes = NULL; \ } /* @@ -4706,7 +4706,7 @@ MODULE_SCOPE Tcl_PackageInitProc Procbodytest_SafeInit; #define TclCleanupCommandMacro(cmdPtr) \ if ((cmdPtr)->refCount-- <= 1) { \ - ckfree((char *) (cmdPtr));\ + ckfree(cmdPtr);\ } /* @@ -4864,7 +4864,7 @@ typedef struct NRE_callback { #else #define TCLNR_ALLOC(interp, ptr) \ (ptr = ((ClientData) ckalloc(sizeof(NRE_callback)))) -#define TCLNR_FREE(interp, ptr) ckfree((char *) (ptr)) +#define TCLNR_FREE(interp, ptr) ckfree(ptr) #endif #if NRE_ENABLE_ASSERTS diff --git a/generic/tclListObj.c b/generic/tclListObj.c index 344d0fd..c9fd333 100644 --- a/generic/tclListObj.c +++ b/generic/tclListObj.c @@ -1898,7 +1898,7 @@ SetListFromAny( while (--elemPtrs >= &listRepPtr->elements) { Tcl_DecrRefCount(*elemPtrs); } - ckfree((char *) listRepPtr); + ckfree(listRepPtr); return TCL_ERROR; } if (elemStart == limit) { diff --git a/generic/tclOODefineCmds.c b/generic/tclOODefineCmds.c index 8c3f28c..5b0dfc3 100644 --- a/generic/tclOODefineCmds.c +++ b/generic/tclOODefineCmds.c @@ -2217,7 +2217,7 @@ ClassSuperSet( "attempt to form circular dependency graph", -1)); Tcl_SetErrorCode(interp, "TCL", "OO", "CIRCULARITY", NULL); failedAfterAlloc: - ckfree((char *) superclasses); + ckfree(superclasses); return TCL_ERROR; } } @@ -2234,7 +2234,7 @@ ClassSuperSet( FOREACH(superPtr, oPtr->classPtr->superclasses) { TclOORemoveFromSubclasses(oPtr->classPtr, superPtr); } - ckfree((char *) oPtr->classPtr->superclasses.list); + ckfree(oPtr->classPtr->superclasses.list); } oPtr->classPtr->superclasses.list = superclasses; oPtr->classPtr->superclasses.num = superc; @@ -2323,7 +2323,7 @@ ClassVarsSet( } for (i=0 ; iclassPtr->variables.list); + ckfree(oPtr->classPtr->variables.list); } else if (i) { oPtr->classPtr->variables.list = (Tcl_Obj **) ckrealloc((char *) oPtr->classPtr->variables.list, @@ -2604,7 +2604,7 @@ ObjVarsSet( } for (i=0 ; ivariables.list); + ckfree(oPtr->variables.list); } else if (i) { oPtr->variables.list = (Tcl_Obj **) ckrealloc((char *) oPtr->variables.list, diff --git a/generic/tclOOInt.h b/generic/tclOOInt.h index b75ffdb..ae24dee 100644 --- a/generic/tclOOInt.h +++ b/generic/tclOOInt.h @@ -592,7 +592,7 @@ MODULE_SCOPE void TclOOSetupVariableResolver(Tcl_Namespace *nsPtr); #define AddRef(ptr) ((ptr)->refCount++) #define DelRef(ptr) do { \ if ((ptr)->refCount-- <= 1) { \ - ckfree((char *) (ptr)); \ + ckfree(ptr); \ } \ } while(0) diff --git a/generic/tclUtil.c b/generic/tclUtil.c index f0c7f77..531f386 100644 --- a/generic/tclUtil.c +++ b/generic/tclUtil.c @@ -2953,7 +2953,7 @@ Tcl_DStringGetResult( dsPtr->length = 0; dsPtr->spaceAvl = TCL_DSTRING_STATIC_SIZE; } else { - dsPtr->string = Tcl_GetString(iPtr->objResultPtr); + dsPtr->string = TclGetString(iPtr->objResultPtr); dsPtr->length = iPtr->objResultPtr->length; dsPtr->spaceAvl = dsPtr->length + 1; TclFreeIntRep(iPtr->objResultPtr); @@ -3639,7 +3639,7 @@ TclGetIntForIndex( parseError: if (interp != NULL) { - bytes = Tcl_GetString(objPtr); + bytes = TclGetString(objPtr); Tcl_SetObjResult(interp, Tcl_ObjPrintf( "bad index \"%s\": must be integer?[+-]integer? or" " end?[+-]integer?", bytes)); @@ -4000,9 +4000,10 @@ TclSetProcessGlobalValue( } else { Tcl_CreateExitHandler(FreeProcessGlobalValue, pgvPtr); } - bytes = TclGetStringFromObj(newValue, &pgvPtr->numBytes); + bytes = TclGetString(newValue); + pgvPtr->numBytes = newValue->length; pgvPtr->value = ckalloc(pgvPtr->numBytes + 1); - memcpy(pgvPtr->value, bytes, (unsigned) pgvPtr->numBytes + 1); + memcpy(pgvPtr->value, bytes, pgvPtr->numBytes + 1); if (pgvPtr->encoding) { Tcl_FreeEncoding(pgvPtr->encoding); } @@ -4017,7 +4018,7 @@ TclSetProcessGlobalValue( Tcl_IncrRefCount(newValue); cacheMap = GetThreadHash(&pgvPtr->key); ClearHash(cacheMap); - hPtr = Tcl_CreateHashEntry(cacheMap, INT2PTR(pgvPtr->epoch), &dummy); + hPtr = Tcl_CreateHashEntry(cacheMap, (void *)(pgvPtr->epoch), &dummy); Tcl_SetHashValue(hPtr, newValue); Tcl_MutexUnlock(&pgvPtr->mutex); } @@ -4043,7 +4044,7 @@ TclGetProcessGlobalValue( Tcl_Obj *value = NULL; Tcl_HashTable *cacheMap; Tcl_HashEntry *hPtr; - int epoch = pgvPtr->epoch; + size_t epoch = pgvPtr->epoch; if (pgvPtr->encoding) { Tcl_Encoding current = Tcl_GetEncoding(NULL, NULL); @@ -4058,8 +4059,7 @@ TclGetProcessGlobalValue( Tcl_DString native, newValue; Tcl_MutexLock(&pgvPtr->mutex); - pgvPtr->epoch++; - epoch = pgvPtr->epoch; + epoch = ++pgvPtr->epoch; Tcl_UtfToExternalDString(pgvPtr->encoding, pgvPtr->value, pgvPtr->numBytes, &native); Tcl_ExternalToUtfDString(current, Tcl_DStringValue(&native), @@ -4078,7 +4078,7 @@ TclGetProcessGlobalValue( } } cacheMap = GetThreadHash(&pgvPtr->key); - hPtr = Tcl_FindHashEntry(cacheMap, (char *) INT2PTR(epoch)); + hPtr = Tcl_FindHashEntry(cacheMap, (void *) (epoch)); if (NULL == hPtr) { int dummy; @@ -4111,7 +4111,7 @@ TclGetProcessGlobalValue( value = Tcl_NewStringObj(pgvPtr->value, pgvPtr->numBytes); hPtr = Tcl_CreateHashEntry(cacheMap, - INT2PTR(pgvPtr->epoch), &dummy); + (void *)(pgvPtr->epoch), &dummy); Tcl_MutexUnlock(&pgvPtr->mutex); Tcl_SetHashValue(hPtr, value); Tcl_IncrRefCount(value); @@ -4194,11 +4194,10 @@ TclGetObjNameOfExecutable(void) const char * Tcl_GetNameOfExecutable(void) { - int numBytes; - const char *bytes = - Tcl_GetStringFromObj(TclGetObjNameOfExecutable(), &numBytes); + Tcl_Obj *obj = TclGetObjNameOfExecutable(); + const char *bytes = TclGetString(obj); - if (numBytes == 0) { + if (obj->length == 0) { return NULL; } return bytes; diff --git a/macosx/tclMacOSXFCmd.c b/macosx/tclMacOSXFCmd.c index 946e350..75fda4b 100644 --- a/macosx/tclMacOSXFCmd.c +++ b/macosx/tclMacOSXFCmd.c @@ -636,12 +636,12 @@ SetOSTypeFromAny( Tcl_Obj *objPtr) /* Pointer to the object to convert */ { const char *string; - int length, result = TCL_OK; + int result = TCL_OK; Tcl_DString ds; Tcl_Encoding encoding = Tcl_GetEncoding(NULL, "macRoman"); - string = TclGetStringFromObj(objPtr, &length); - Tcl_UtfToExternalDString(encoding, string, length, &ds); + string = TclGetString(objPtr); + Tcl_UtfToExternalDString(encoding, string, objPtr->length, &ds); if (Tcl_DStringLength(&ds) > 4) { if (interp) { diff --git a/unix/tclUnixInit.c b/unix/tclUnixInit.c index 31177a3..1e35b92 100644 --- a/unix/tclUnixInit.c +++ b/unix/tclUnixInit.c @@ -453,7 +453,7 @@ TclpInitPlatform(void) void TclpInitLibraryPath( char **valuePtr, - int *lengthPtr, + size_t *lengthPtr, Tcl_Encoding *encodingPtr) { #define LIBRARY_SIZE 32 @@ -542,9 +542,10 @@ TclpInitLibraryPath( Tcl_DStringFree(&buffer); *encodingPtr = Tcl_GetEncoding(NULL, NULL); - str = TclGetStringFromObj(pathPtr, lengthPtr); - *valuePtr = ckalloc((*lengthPtr) + 1); - memcpy(*valuePtr, str, (size_t)(*lengthPtr)+1); + str = TclGetString(pathPtr); + *lengthPtr = pathPtr->length; + *valuePtr = ckalloc(*lengthPtr + 1); + memcpy(*valuePtr, str, *lengthPtr + 1); Tcl_DecrRefCount(pathPtr); } diff --git a/unix/tclUnixSock.c b/unix/tclUnixSock.c index 5d11a28..170aea9 100644 --- a/unix/tclUnixSock.c +++ b/unix/tclUnixSock.c @@ -203,7 +203,7 @@ void printaddrinfo(struct addrinfo *addrlist, char *prefix) static void InitializeHostName( char **valuePtr, - int *lengthPtr, + size_t *lengthPtr, Tcl_Encoding *encodingPtr) { const char *native = NULL; @@ -271,8 +271,8 @@ InitializeHostName( *encodingPtr = Tcl_GetEncoding(NULL, NULL); *lengthPtr = strlen(native); - *valuePtr = ckalloc((*lengthPtr) + 1); - memcpy(*valuePtr, native, (size_t)(*lengthPtr)+1); + *valuePtr = ckalloc(*lengthPtr + 1); + memcpy(*valuePtr, native, *lengthPtr + 1); } /* diff --git a/win/tclWin32Dll.c b/win/tclWin32Dll.c index d8a8717..e4adb1d 100644 --- a/win/tclWin32Dll.c +++ b/win/tclWin32Dll.c @@ -49,7 +49,7 @@ BOOL APIENTRY DllMain(HINSTANCE hInst, DWORD reason, */ typedef struct MountPointMap { - const TCHAR *volumeName; /* Native wide string volume name. */ + TCHAR *volumeName; /* Native wide string volume name. */ TCHAR driveLetter; /* Drive letter corresponding to the volume * name. */ struct MountPointMap *nextPtr; diff --git a/win/tclWinInit.c b/win/tclWinInit.c index b5a07aa..d2ee7e1 100644 --- a/win/tclWinInit.c +++ b/win/tclWinInit.c @@ -172,7 +172,7 @@ TclpInitPlatform(void) void TclpInitLibraryPath( char **valuePtr, - int *lengthPtr, + size_t *lengthPtr, Tcl_Encoding *encodingPtr) { #define LIBRARY_SIZE 64 @@ -214,9 +214,10 @@ TclpInitLibraryPath( TclGetProcessGlobalValue(&sourceLibraryDir)); *encodingPtr = NULL; - bytes = TclGetStringFromObj(pathPtr, lengthPtr); - *valuePtr = ckalloc((*lengthPtr) + 1); - memcpy(*valuePtr, bytes, (size_t)(*lengthPtr)+1); + bytes = TclGetString(pathPtr); + *lengthPtr = pathPtr->length; + *valuePtr = ckalloc(*lengthPtr + 1); + memcpy(*valuePtr, bytes, *lengthPtr + 1); Tcl_DecrRefCount(pathPtr); } @@ -334,7 +335,7 @@ AppendEnvironment( static void InitializeDefaultLibraryDir( char **valuePtr, - int *lengthPtr, + size_t *lengthPtr, Tcl_Encoding *encodingPtr) { HMODULE hModule = TclWinGetTclInstance(); @@ -361,7 +362,7 @@ InitializeDefaultLibraryDir( *lengthPtr = strlen(name); *valuePtr = ckalloc(*lengthPtr + 1); *encodingPtr = NULL; - memcpy(*valuePtr, name, (size_t) *lengthPtr + 1); + memcpy(*valuePtr, name, *lengthPtr + 1); } /* @@ -385,7 +386,7 @@ InitializeDefaultLibraryDir( static void InitializeSourceLibraryDir( char **valuePtr, - int *lengthPtr, + size_t *lengthPtr, Tcl_Encoding *encodingPtr) { HMODULE hModule = TclWinGetTclInstance(); @@ -412,7 +413,7 @@ InitializeSourceLibraryDir( *lengthPtr = strlen(name); *valuePtr = ckalloc(*lengthPtr + 1); *encodingPtr = NULL; - memcpy(*valuePtr, name, (size_t) *lengthPtr + 1); + memcpy(*valuePtr, name, *lengthPtr + 1); } /* diff --git a/win/tclWinPort.h b/win/tclWinPort.h index 159a708..41201c7 100644 --- a/win/tclWinPort.h +++ b/win/tclWinPort.h @@ -551,7 +551,7 @@ typedef DWORD_PTR * PDWORD_PTR; * address platform-specific issues. */ -#define TclpReleaseFile(file) ckfree((char *) file) +#define TclpReleaseFile(file) ckfree(file) /* * The following macros and declarations wrap the C runtime library diff --git a/win/tclWinSock.c b/win/tclWinSock.c index 4690708..ec881d2 100644 --- a/win/tclWinSock.c +++ b/win/tclWinSock.c @@ -331,7 +331,7 @@ void printaddrinfolist(struct addrinfo *addrlist, char *prefix) void InitializeHostName( char **valuePtr, - int *lengthPtr, + size_t *lengthPtr, Tcl_Encoding *encodingPtr) { TCHAR tbuf[MAX_COMPUTERNAME_LENGTH + 1]; @@ -368,8 +368,8 @@ InitializeHostName( *encodingPtr = Tcl_GetEncoding(NULL, "utf-8"); *lengthPtr = Tcl_DStringLength(&ds); - *valuePtr = ckalloc((*lengthPtr) + 1); - memcpy(*valuePtr, Tcl_DStringValue(&ds), (size_t)(*lengthPtr)+1); + *valuePtr = ckalloc(*lengthPtr + 1); + memcpy(*valuePtr, Tcl_DStringValue(&ds), *lengthPtr + 1); Tcl_DStringFree(&ds); } diff --git a/win/tclWinThrd.c b/win/tclWinThrd.c index e46b0a0..b9cde72 100644 --- a/win/tclWinThrd.c +++ b/win/tclWinThrd.c @@ -180,7 +180,7 @@ TclWinThreadStart( lpOrigStartAddress = winThreadPtr->lpStartAddress; lpOrigParameter = winThreadPtr->lpParameter; - ckfree((char *)winThreadPtr); + ckfree(winThreadPtr); return lpOrigStartAddress(lpOrigParameter); } -- cgit v0.12 From 2adcff3e5ba6e09366ef4208ab81768803ba15bd Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 16 Nov 2016 13:04:26 +0000 Subject: import libtommath 1.0 --- libtommath/LICENSE | 29 +- libtommath/README.md | 13 + libtommath/bn.ilg | 8 +- libtommath/bn.ind | 26 +- libtommath/bn.pdf | Bin 352808 -> 383770 bytes libtommath/bn.tex | 506 +- libtommath/bn_error.c | 12 +- libtommath/bn_fast_mp_invmod.c | 20 +- libtommath/bn_fast_mp_montgomery_reduce.c | 32 +- libtommath/bn_fast_s_mp_mul_digs.c | 16 +- libtommath/bn_fast_s_mp_mul_high_digs.c | 10 +- libtommath/bn_fast_s_mp_sqr.c | 10 +- libtommath/bn_mp_2expt.c | 12 +- libtommath/bn_mp_abs.c | 8 +- libtommath/bn_mp_add.c | 8 +- libtommath/bn_mp_add_d.c | 12 +- libtommath/bn_mp_addmod.c | 8 +- libtommath/bn_mp_and.c | 8 +- libtommath/bn_mp_clamp.c | 10 +- libtommath/bn_mp_clear.c | 8 +- libtommath/bn_mp_clear_multi.c | 8 +- libtommath/bn_mp_cmp.c | 8 +- libtommath/bn_mp_cmp_d.c | 8 +- libtommath/bn_mp_cmp_mag.c | 8 +- libtommath/bn_mp_cnt_lsb.c | 12 +- libtommath/bn_mp_copy.c | 10 +- libtommath/bn_mp_count_bits.c | 8 +- libtommath/bn_mp_div.c | 81 +- libtommath/bn_mp_div_2.c | 10 +- libtommath/bn_mp_div_2d.c | 10 +- libtommath/bn_mp_div_3.c | 8 +- libtommath/bn_mp_div_d.c | 12 +- libtommath/bn_mp_dr_is_modulus.c | 8 +- libtommath/bn_mp_dr_reduce.c | 16 +- libtommath/bn_mp_dr_setup.c | 8 +- libtommath/bn_mp_exch.c | 8 +- libtommath/bn_mp_export.c | 88 + libtommath/bn_mp_expt_d.c | 43 +- libtommath/bn_mp_expt_d_ex.c | 83 + libtommath/bn_mp_exptmod.c | 10 +- libtommath/bn_mp_exptmod_fast.c | 18 +- libtommath/bn_mp_exteuclid.c | 16 +- libtommath/bn_mp_fread.c | 8 +- libtommath/bn_mp_fwrite.c | 8 +- libtommath/bn_mp_gcd.c | 10 +- libtommath/bn_mp_get_int.c | 16 +- libtommath/bn_mp_get_long.c | 41 + libtommath/bn_mp_get_long_long.c | 41 + libtommath/bn_mp_grow.c | 8 +- libtommath/bn_mp_import.c | 73 + libtommath/bn_mp_init.c | 8 +- libtommath/bn_mp_init_copy.c | 10 +- libtommath/bn_mp_init_multi.c | 10 +- libtommath/bn_mp_init_set.c | 8 +- libtommath/bn_mp_init_set_int.c | 8 +- libtommath/bn_mp_init_size.c | 8 +- libtommath/bn_mp_invmod.c | 16 +- libtommath/bn_mp_invmod_slow.c | 22 +- libtommath/bn_mp_is_square.c | 22 +- libtommath/bn_mp_jacobi.c | 44 +- libtommath/bn_mp_karatsuba_mul.c | 12 +- libtommath/bn_mp_karatsuba_sqr.c | 12 +- libtommath/bn_mp_lcm.c | 8 +- libtommath/bn_mp_lshd.c | 14 +- libtommath/bn_mp_mod.c | 16 +- libtommath/bn_mp_mod_2d.c | 10 +- libtommath/bn_mp_mod_d.c | 8 +- libtommath/bn_mp_montgomery_calc_normalization.c | 10 +- libtommath/bn_mp_montgomery_reduce.c | 28 +- libtommath/bn_mp_montgomery_setup.c | 18 +- libtommath/bn_mp_mul.c | 15 +- libtommath/bn_mp_mul_2.c | 12 +- libtommath/bn_mp_mul_2d.c | 16 +- libtommath/bn_mp_mul_d.c | 12 +- libtommath/bn_mp_mulmod.c | 8 +- libtommath/bn_mp_n_root.c | 118 +- libtommath/bn_mp_n_root_ex.c | 132 + libtommath/bn_mp_neg.c | 8 +- libtommath/bn_mp_or.c | 8 +- libtommath/bn_mp_prime_fermat.c | 8 +- libtommath/bn_mp_prime_is_divisible.c | 8 +- libtommath/bn_mp_prime_is_prime.c | 10 +- libtommath/bn_mp_prime_miller_rabin.c | 12 +- libtommath/bn_mp_prime_next_prime.c | 18 +- libtommath/bn_mp_prime_rabin_miller_trials.c | 8 +- libtommath/bn_mp_prime_random_ex.c | 21 +- libtommath/bn_mp_radix_size.c | 22 +- libtommath/bn_mp_radix_smap.c | 8 +- libtommath/bn_mp_rand.c | 12 +- libtommath/bn_mp_read_radix.c | 18 +- libtommath/bn_mp_read_signed_bin.c | 8 +- libtommath/bn_mp_read_unsigned_bin.c | 18 +- libtommath/bn_mp_reduce.c | 22 +- libtommath/bn_mp_reduce_2k.c | 28 +- libtommath/bn_mp_reduce_2k_l.c | 30 +- libtommath/bn_mp_reduce_2k_setup.c | 8 +- libtommath/bn_mp_reduce_2k_setup_l.c | 8 +- libtommath/bn_mp_reduce_is_2k.c | 8 +- libtommath/bn_mp_reduce_is_2k_l.c | 8 +- libtommath/bn_mp_reduce_setup.c | 8 +- libtommath/bn_mp_rshd.c | 10 +- libtommath/bn_mp_set.c | 8 +- libtommath/bn_mp_set_int.c | 8 +- libtommath/bn_mp_set_long.c | 24 + libtommath/bn_mp_set_long_long.c | 24 + libtommath/bn_mp_shrink.c | 11 +- libtommath/bn_mp_signed_bin_size.c | 8 +- libtommath/bn_mp_sqr.c | 18 +- libtommath/bn_mp_sqrmod.c | 8 +- libtommath/bn_mp_sqrt.c | 8 +- libtommath/bn_mp_sqrtmod_prime.c | 124 + libtommath/bn_mp_sub.c | 8 +- libtommath/bn_mp_sub_d.c | 16 +- libtommath/bn_mp_submod.c | 8 +- libtommath/bn_mp_to_signed_bin.c | 10 +- libtommath/bn_mp_to_signed_bin_n.c | 8 +- libtommath/bn_mp_to_unsigned_bin.c | 10 +- libtommath/bn_mp_to_unsigned_bin_n.c | 8 +- libtommath/bn_mp_toom_mul.c | 276 +- libtommath/bn_mp_toom_sqr.c | 212 +- libtommath/bn_mp_toradix.c | 14 +- libtommath/bn_mp_toradix_n.c | 12 +- libtommath/bn_mp_unsigned_bin_size.c | 10 +- libtommath/bn_mp_xor.c | 8 +- libtommath/bn_mp_zero.c | 8 +- libtommath/bn_prime_tab.c | 8 +- libtommath/bn_reverse.c | 8 +- libtommath/bn_s_mp_add.c | 14 +- libtommath/bn_s_mp_exptmod.c | 14 +- libtommath/bn_s_mp_mul_digs.c | 20 +- libtommath/bn_s_mp_mul_high_digs.c | 16 +- libtommath/bn_s_mp_sqr.c | 18 +- libtommath/bn_s_mp_sub.c | 18 +- libtommath/bncore.c | 8 +- libtommath/booker.pl | 68 +- libtommath/callgraph.txt | 18653 +++++++++++---------- libtommath/changes.txt | 45 +- libtommath/demo/demo.c | 720 +- libtommath/demo/timing.c | 118 +- libtommath/dep.pl | 2 +- libtommath/etc/2kprime.c | 4 +- libtommath/etc/drprime.c | 4 +- libtommath/etc/mersenne.c | 4 +- libtommath/etc/mont.c | 4 +- libtommath/etc/pprime.c | 4 +- libtommath/etc/tune.c | 27 +- libtommath/filter.pl | 34 + libtommath/gen.pl | 4 +- libtommath/genlist.sh | 8 + libtommath/libtommath_VS2005.sln | 0 libtommath/libtommath_VS2005.vcproj | 5650 +++---- libtommath/libtommath_VS2008.sln | 0 libtommath/libtommath_VS2008.vcproj | 5618 +++---- libtommath/makefile | 217 +- libtommath/makefile.bcc | 56 +- libtommath/makefile.cygwin_dll | 58 +- libtommath/makefile.icc | 71 +- libtommath/makefile.include | 105 + libtommath/makefile.msvc | 54 +- libtommath/makefile.shared | 137 +- libtommath/mtest/logtab.h | 4 +- libtommath/mtest/mpi-config.h | 6 +- libtommath/mtest/mpi-types.h | 4 +- libtommath/mtest/mpi.c | 176 +- libtommath/mtest/mpi.h | 8 +- libtommath/mtest/mtest.c | 100 +- libtommath/parsenames.pl | 25 + libtommath/poster.pdf | Bin 37806 -> 73388 bytes libtommath/pre_gen/mpi.c | 992 +- libtommath/testme.sh | 174 + libtommath/tommath.h | 195 +- libtommath/tommath.out | 278 +- libtommath/tommath.pdf | Bin 1332978 -> 1526291 bytes libtommath/tommath.src | 2155 ++- libtommath/tommath.tex | 6401 +++++-- libtommath/tommath_class.h | 84 +- libtommath/tommath_private.h | 119 + libtommath/tommath_superclass.h | 4 +- libtommath/updatemakes.sh | 33 + 179 files changed, 26451 insertions(+), 19309 deletions(-) create mode 100644 libtommath/README.md create mode 100644 libtommath/bn_mp_export.c create mode 100644 libtommath/bn_mp_expt_d_ex.c create mode 100644 libtommath/bn_mp_get_long.c create mode 100644 libtommath/bn_mp_get_long_long.c create mode 100644 libtommath/bn_mp_import.c create mode 100644 libtommath/bn_mp_n_root_ex.c create mode 100644 libtommath/bn_mp_set_long.c create mode 100644 libtommath/bn_mp_set_long_long.c create mode 100644 libtommath/bn_mp_sqrtmod_prime.c create mode 100755 libtommath/filter.pl create mode 100755 libtommath/genlist.sh mode change 100755 => 100644 libtommath/libtommath_VS2005.sln mode change 100755 => 100644 libtommath/libtommath_VS2005.vcproj mode change 100755 => 100644 libtommath/libtommath_VS2008.sln mode change 100755 => 100644 libtommath/libtommath_VS2008.vcproj create mode 100644 libtommath/makefile.include create mode 100755 libtommath/parsenames.pl create mode 100755 libtommath/testme.sh create mode 100644 libtommath/tommath_private.h create mode 100755 libtommath/updatemakes.sh diff --git a/libtommath/LICENSE b/libtommath/LICENSE index 5baa792..04d6d1d 100644 --- a/libtommath/LICENSE +++ b/libtommath/LICENSE @@ -1,4 +1,29 @@ -LibTomMath is hereby released into the Public Domain. +LibTomMath is licensed under DUAL licensing terms. --- Tom St Denis +Choose and use the license of your needs. +[LICENSE #1] + +LibTomMath is public domain. As should all quality software be. + +Tom St Denis + +[/LICENSE #1] + +[LICENSE #2] + + DO WHAT THE FUCK YOU WANT TO PUBLIC LICENSE + Version 2, December 2004 + + Copyright (C) 2004 Sam Hocevar + + Everyone is permitted to copy and distribute verbatim or modified + copies of this license document, and changing it is allowed as long + as the name is changed. + + DO WHAT THE FUCK YOU WANT TO PUBLIC LICENSE + TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION + + 0. You just DO WHAT THE FUCK YOU WANT TO. + +[/LICENSE #2] diff --git a/libtommath/README.md b/libtommath/README.md new file mode 100644 index 0000000..866f024 --- /dev/null +++ b/libtommath/README.md @@ -0,0 +1,13 @@ +[![Build Status](https://travis-ci.org/libtom/libtommath.png?branch=develop)](https://travis-ci.org/libtom/libtommath) + +This is the git repository for [LibTomMath](http://www.libtom.org/), a free open source portable number theoretic multiple-precision integer (MPI) library written entirely in C. + +The `develop` branch contains the in-development version. Stable releases are tagged. + +Documentation is built from the LaTeX file `bn.tex`. There is also limited documentation in `tommath.h`. There is also a document, `tommath.pdf`, which describes the goals of the project and many of the algorithms used. + +The project can be build by using `make`. Along with the usual `make`, `make clean` and `make install`, there are several other build targets, see the makefile for details. There are also makefiles for certain specific platforms. + +Tests are located in `demo/` and can be built in two flavors. +* `make test` creates a test binary that is intended to be run against `mtest`. `mtest` can be built with `make mtest` and test execution is done like `./mtest/mtest | ./test`. `mtest` is creating test vectors using an alternative MPI library and `test` is consuming these vectors to verify correct behavior of ltm +* `make test_standalone` creates a stand-alone test binary that executes several test routines. diff --git a/libtommath/bn.ilg b/libtommath/bn.ilg index 3c859f0..2a14624 100644 --- a/libtommath/bn.ilg +++ b/libtommath/bn.ilg @@ -1,6 +1,6 @@ -This is makeindex, version 2.14 [02-Oct-2002] (kpathsea + Thai support). -Scanning input file bn.idx....done (79 entries accepted, 0 rejected). -Sorting entries....done (511 comparisons). -Generating output file bn.ind....done (82 lines written, 0 warnings). +This is makeindex, version 2.15 [TeX Live 2013] (kpathsea + Thai support). +Scanning input file bn.idx....done (85 entries accepted, 0 rejected). +Sorting entries....done (554 comparisons). +Generating output file bn.ind....done (88 lines written, 0 warnings). Output written in bn.ind. Transcript written in bn.ilg. diff --git a/libtommath/bn.ind b/libtommath/bn.ind index 3c3d288..01cff1a 100644 --- a/libtommath/bn.ind +++ b/libtommath/bn.ind @@ -1,26 +1,29 @@ \begin{theindex} - \item mp\_add, \hyperpage{23} + \item mp\_add, \hyperpage{24} \item mp\_add\_d, \hyperpage{44} - \item mp\_and, \hyperpage{23} + \item mp\_and, \hyperpage{24} \item mp\_clear, \hyperpage{9} \item mp\_clear\_multi, \hyperpage{10} \item mp\_cmp, \hyperpage{19} \item mp\_cmp\_d, \hyperpage{20} \item mp\_cmp\_mag, \hyperpage{18} \item mp\_div, \hyperpage{24} - \item mp\_div\_2, \hyperpage{21} - \item mp\_div\_2d, \hyperpage{22} + \item mp\_div\_2, \hyperpage{22} + \item mp\_div\_2d, \hyperpage{23} \item mp\_div\_d, \hyperpage{44} \item mp\_dr\_reduce, \hyperpage{33} \item mp\_dr\_setup, \hyperpage{33} \item MP\_EQ, \hyperpage{18} \item mp\_error\_to\_string, \hyperpage{7} \item mp\_expt\_d, \hyperpage{35} + \item mp\_expt\_d\_ex, \hyperpage{35} \item mp\_exptmod, \hyperpage{35} \item mp\_exteuclid, \hyperpage{43} \item mp\_gcd, \hyperpage{43} \item mp\_get\_int, \hyperpage{16} + \item mp\_get\_long, \hyperpage{17} + \item mp\_get\_long\_long, \hyperpage{17} \item mp\_grow, \hyperpage{13} \item MP\_GT, \hyperpage{18} \item mp\_init, \hyperpage{8} @@ -42,14 +45,14 @@ \item mp\_montgomery\_reduce, \hyperpage{31} \item mp\_montgomery\_setup, \hyperpage{31} \item mp\_mul, \hyperpage{25} - \item mp\_mul\_2, \hyperpage{21} - \item mp\_mul\_2d, \hyperpage{22} + \item mp\_mul\_2, \hyperpage{22} + \item mp\_mul\_2d, \hyperpage{23} \item mp\_mul\_d, \hyperpage{44} - \item mp\_n\_root, \hyperpage{35} + \item mp\_n\_root, \hyperpage{36} \item mp\_neg, \hyperpage{24} \item MP\_NO, \hyperpage{7} \item MP\_OKAY, \hyperpage{7} - \item mp\_or, \hyperpage{23} + \item mp\_or, \hyperpage{24} \item mp\_prime\_fermat, \hyperpage{37} \item mp\_prime\_is\_divisible, \hyperpage{37} \item mp\_prime\_is\_prime, \hyperpage{38} @@ -68,15 +71,18 @@ \item mp\_rshd, \hyperpage{23} \item mp\_set, \hyperpage{15} \item mp\_set\_int, \hyperpage{16} + \item mp\_set\_long, \hyperpage{17} + \item mp\_set\_long\_long, \hyperpage{17} \item mp\_shrink, \hyperpage{12} \item mp\_sqr, \hyperpage{26} - \item mp\_sub, \hyperpage{23} + \item mp\_sqrtmod\_prime, \hyperpage{44} + \item mp\_sub, \hyperpage{24} \item mp\_sub\_d, \hyperpage{44} \item mp\_to\_unsigned\_bin, \hyperpage{42} \item mp\_toradix, \hyperpage{41} \item mp\_unsigned\_bin\_size, \hyperpage{41} \item MP\_VAL, \hyperpage{7} - \item mp\_xor, \hyperpage{23} + \item mp\_xor, \hyperpage{24} \item MP\_YES, \hyperpage{7} \end{theindex} diff --git a/libtommath/bn.pdf b/libtommath/bn.pdf index 078628c..a1f40ef 100644 Binary files a/libtommath/bn.pdf and b/libtommath/bn.pdf differ diff --git a/libtommath/bn.tex b/libtommath/bn.tex index 71b6840..d975471 100644 --- a/libtommath/bn.tex +++ b/libtommath/bn.tex @@ -49,10 +49,10 @@ \begin{document} \frontmatter \pagestyle{empty} -\title{LibTomMath User Manual \\ v0.42.0} -\author{Tom St Denis \\ tomstdenis@gmail.com} +\title{LibTomMath User Manual \\ v1.0.0} +\author{Tom St Denis \\ tstdenis82@gmail.com} \maketitle -This text, the library and the accompanying textbook are all hereby placed in the public domain. This book has been +This text, the library and the accompanying textbook are all hereby placed in the public domain. This book has been formatted for B5 [176x250] paper using the \LaTeX{} {\em book} macro package. \vspace{10cm} @@ -74,12 +74,12 @@ Ontario, Canada \section{What is LibTomMath?} LibTomMath is a library of source code which provides a series of efficient and carefully written functions for manipulating large integer numbers. It was written in portable ISO C source code so that it will build on any platform with a conforming -C compiler. +C compiler. In a nutshell the library was written from scratch with verbose comments to help instruct computer science students how -to implement ``bignum'' math. However, the resulting code has proven to be very useful. It has been used by numerous +to implement ``bignum'' math. However, the resulting code has proven to be very useful. It has been used by numerous universities, commercial and open source software developers. It has been used on a variety of platforms ranging from -Linux and Windows based x86 to ARM based Gameboys and PPC based MacOS machines. +Linux and Windows based x86 to ARM based Gameboys and PPC based MacOS machines. \section{License} As of the v0.25 the library source code has been placed in the public domain with every new release. As of the v0.28 @@ -87,14 +87,14 @@ release the textbook ``Implementing Multiple Precision Arithmetic'' has been pla release as well. This textbook is meant to compliment the project by providing a more solid walkthrough of the development algorithms used in the library. -Since both\footnote{Note that the MPI files under mtest/ are copyrighted by Michael Fromberger. They are not required to use LibTomMath.} are in the +Since both\footnote{Note that the MPI files under mtest/ are copyrighted by Michael Fromberger. They are not required to use LibTomMath.} are in the public domain everyone is entitled to do with them as they see fit. \section{Building LibTomMath} LibTomMath is meant to be very ``GCC friendly'' as it comes with a makefile well suited for GCC. However, the library will also build in MSVC, Borland C out of the box. For any other ISO C compiler a makefile will have to be made by the end -developer. +developer. \subsection{Static Libraries} To build as a static library for GCC issue the following @@ -102,14 +102,14 @@ To build as a static library for GCC issue the following make \end{alltt} -command. This will build the library and archive the object files in ``libtommath.a''. Now you link against +command. This will build the library and archive the object files in ``libtommath.a''. Now you link against that and include ``tommath.h'' within your programs. Alternatively to build with MSVC issue the following \begin{alltt} nmake -f makefile.msvc \end{alltt} -This will build the library and archive the object files in ``tommath.lib''. This has been tested with MSVC -version 6.00 with service pack 5. +This will build the library and archive the object files in ``tommath.lib''. This has been tested with MSVC +version 6.00 with service pack 5. \subsection{Shared Libraries} To build as a shared library for GCC issue the following @@ -117,12 +117,12 @@ To build as a shared library for GCC issue the following make -f makefile.shared \end{alltt} This requires the ``libtool'' package (common on most Linux/BSD systems). It will build LibTomMath as both shared -and static then install (by default) into /usr/lib as well as install the header files in /usr/include. The shared -library (resource) will be called ``libtommath.la'' while the static library called ``libtommath.a''. Generally -you use libtool to link your application against the shared object. +and static then install (by default) into /usr/lib as well as install the header files in /usr/include. The shared +library (resource) will be called ``libtommath.la'' while the static library called ``libtommath.a''. Generally +you use libtool to link your application against the shared object. -There is limited support for making a ``DLL'' in windows via the ``makefile.cygwin\_dll'' makefile. It requires -Cygwin to work with since it requires the auto-export/import functionality. The resulting DLL and import library +There is limited support for making a ``DLL'' in windows via the ``makefile.cygwin\_dll'' makefile. It requires +Cygwin to work with since it requires the auto-export/import functionality. The resulting DLL and import library ``libtommath.dll.a'' can be used to link LibTomMath dynamically to any Windows program using Cygwin. \subsection{Testing} @@ -140,7 +140,7 @@ is included in the package}. Simply pipe mtest into test using mtest/mtest | test \end{alltt} -If you do not have a ``/dev/urandom'' style RNG source you will have to write your own PRNG and simply pipe that into +If you do not have a ``/dev/urandom'' style RNG source you will have to write your own PRNG and simply pipe that into mtest. For example, if your PRNG program is called ``myprng'' simply invoke \begin{alltt} @@ -152,17 +152,17 @@ that is being performed. The numbers represent how many times the test was invo will exit with a dump of the relevent numbers it was working with. \section{Build Configuration} -LibTomMath can configured at build time in three phases we shall call ``depends'', ``tweaks'' and ``trims''. -Each phase changes how the library is built and they are applied one after another respectively. +LibTomMath can configured at build time in three phases we shall call ``depends'', ``tweaks'' and ``trims''. +Each phase changes how the library is built and they are applied one after another respectively. To make the system more powerful you can tweak the build process. Classes are defined in the file -``tommath\_superclass.h''. By default, the symbol ``LTM\_ALL'' shall be defined which simply -instructs the system to build all of the functions. This is how LibTomMath used to be packaged. This will give you +``tommath\_superclass.h''. By default, the symbol ``LTM\_ALL'' shall be defined which simply +instructs the system to build all of the functions. This is how LibTomMath used to be packaged. This will give you access to every function LibTomMath offers. -However, there are cases where such a build is not optional. For instance, you want to perform RSA operations. You -don't need the vast majority of the library to perform these operations. Aside from LTM\_ALL there is -another pre--defined class ``SC\_RSA\_1'' which works in conjunction with the RSA from LibTomCrypt. Additional +However, there are cases where such a build is not optional. For instance, you want to perform RSA operations. You +don't need the vast majority of the library to perform these operations. Aside from LTM\_ALL there is +another pre--defined class ``SC\_RSA\_1'' which works in conjunction with the RSA from LibTomCrypt. Additional classes can be defined base on the need of the user. \subsection{Build Depends} @@ -172,8 +172,8 @@ file. For instance, BN\_MP\_ADD\_C represents the file ``bn\_mp\_add.c''. When function in the respective file will be compiled and linked into the library. Accordingly when the define is absent the file will not be compiled and not contribute any size to the library. -You will also note that the header tommath\_class.h is actually recursively included (it includes itself twice). -This is to help resolve as many dependencies as possible. In the last pass the symbol LTM\_LAST will be defined. +You will also note that the header tommath\_class.h is actually recursively included (it includes itself twice). +This is to help resolve as many dependencies as possible. In the last pass the symbol LTM\_LAST will be defined. This is useful for ``trims''. \subsection{Build Tweaks} @@ -193,7 +193,7 @@ They can be enabled at any pass of the configuration phase. \subsection{Build Trims} A trim is a manner of removing functionality from a function that is not required. For instance, to perform -RSA cryptography you only require exponentiation with odd moduli so even moduli support can be safely removed. +RSA cryptography you only require exponentiation with odd moduli so even moduli support can be safely removed. Build trims are meant to be defined on the last pass of the configuration which means they are to be defined only if LTM\_LAST has been defined. @@ -232,7 +232,7 @@ only if LTM\_LAST has been defined. & BN\_S\_MP\_SQR\_C \\ \hline Polynomial Schmolynomial & BN\_MP\_KARATSUBA\_MUL\_C \\ & BN\_MP\_KARATSUBA\_SQR\_C \\ - & BN\_MP\_TOOM\_MUL\_C \\ + & BN\_MP\_TOOM\_MUL\_C \\ & BN\_MP\_TOOM\_SQR\_C \\ \hline @@ -242,11 +242,11 @@ only if LTM\_LAST has been defined. \section{Purpose of LibTomMath} -Unlike GNU MP (GMP) Library, LIP, OpenSSL or various other commercial kits (Miracl), LibTomMath was not written with -bleeding edge performance in mind. First and foremost LibTomMath was written to be entirely open. Not only is the +Unlike GNU MP (GMP) Library, LIP, OpenSSL or various other commercial kits (Miracl), LibTomMath was not written with +bleeding edge performance in mind. First and foremost LibTomMath was written to be entirely open. Not only is the source code public domain (unlike various other GPL/etc licensed code), not only is the code freely downloadable but the source code is also accessible for computer science students attempting to learn ``BigNum'' or multiple precision -arithmetic techniques. +arithmetic techniques. LibTomMath was written to be an instructive collection of source code. This is why there are many comments, only one function per source file and often I use a ``middle-road'' approach where I don't cut corners for an extra 2\% speed @@ -277,9 +277,9 @@ are the pros and cons of LibTomMath by comparing it to the math routines from Gn \caption{LibTomMath Valuation} \end{figure} -It may seem odd to compare LibTomMath to GnuPG since the math in GnuPG is only a small portion of the entire application. +It may seem odd to compare LibTomMath to GnuPG since the math in GnuPG is only a small portion of the entire application. However, LibTomMath was written with cryptography in mind. It provides essentially all of the functions a cryptosystem -would require when working with large integers. +would require when working with large integers. So it may feel tempting to just rip the math code out of GnuPG (or GnuMP where it was taken from originally) in your own application but I think there are reasons not to. While LibTomMath is slower than libraries such as GnuMP it is @@ -289,11 +289,11 @@ exponentiations. It depends largely on the processor, compiler and the moduli b Essentially the only time you wouldn't use LibTomMath is when blazing speed is the primary concern. However, on the other side of the coin LibTomMath offers you a totally free (public domain) well structured math library that is very flexible, complete and performs well in resource contrained environments. Fast RSA for example can -be performed with as little as 8KB of ram for data (again depending on build options). +be performed with as little as 8KB of ram for data (again depending on build options). \chapter{Getting Started with LibTomMath} \section{Building Programs} -In order to use LibTomMath you must include ``tommath.h'' and link against the appropriate library file (typically +In order to use LibTomMath you must include ``tommath.h'' and link against the appropriate library file (typically libtommath.a). There is no library initialization required and the entire library is thread safe. \section{Return Codes} @@ -327,8 +327,8 @@ to a string use the following function. char *mp_error_to_string(int code); \end{alltt} -This will return a pointer to a string which describes the given error code. It will not work for the return codes -MP\_YES and MP\_NO. +This will return a pointer to a string which describes the given error code. It will not work for the return codes +MP\_YES and MP\_NO. \section{Data Types} The basic ``multiple precision integer'' type is known as the ``mp\_int'' within LibTomMath. This data type is used to @@ -345,7 +345,7 @@ typedef struct \{ Where ``mp\_digit'' is a data type that represents individual digits of the integer. By default, an mp\_digit is the ISO C ``unsigned long'' data type and each digit is $28-$bits long. The mp\_digit type can be configured to suit other -platforms by defining the appropriate macros. +platforms by defining the appropriate macros. All LTM functions that use the mp\_int type will expect a pointer to mp\_int structure. You must allocate memory to hold the structure itself by yourself (whether off stack or heap it doesn't matter). The very first thing that must be @@ -374,7 +374,7 @@ This allows operands to be re-used which can make programming simpler. \section{Initialization} \subsection{Single Initialization} -A single mp\_int can be initialized with the ``mp\_init'' function. +A single mp\_int can be initialized with the ``mp\_init'' function. \index{mp\_init} \begin{alltt} @@ -392,11 +392,11 @@ int main(void) int result; if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* use the number */ return EXIT_SUCCESS; @@ -404,7 +404,7 @@ int main(void) \end{alltt} \end{small} \subsection{Single Free} -When you are finished with an mp\_int it is ideal to return the heap it used back to the system. The following function +When you are finished with an mp\_int it is ideal to return the heap it used back to the system. The following function provides this functionality. \index{mp\_clear} @@ -412,9 +412,9 @@ provides this functionality. void mp_clear (mp_int * a); \end{alltt} -The function expects a pointer to a previously initialized mp\_int structure and frees the heap it uses. It sets the -pointer\footnote{The ``dp'' member.} within the mp\_int to \textbf{NULL} which is used to prevent double free situations. -Is is legal to call mp\_clear() twice on the same mp\_int in a row. +The function expects a pointer to a previously initialized mp\_int structure and frees the heap it uses. It sets the +pointer\footnote{The ``dp'' member.} within the mp\_int to \textbf{NULL} which is used to prevent double free situations. +Is is legal to call mp\_clear() twice on the same mp\_int in a row. \begin{small} \begin{alltt} int main(void) @@ -423,11 +423,11 @@ int main(void) int result; if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* use the number */ /* We're done with it. */ @@ -451,8 +451,8 @@ int mp_init_multi(mp_int *mp, ...); It accepts a \textbf{NULL} terminated list of pointers to mp\_int structures. It will attempt to initialize them all at once. If the function returns MP\_OKAY then all of the mp\_int variables are ready to use, otherwise none of them -are available for use. A complementary mp\_clear\_multi() function allows multiple mp\_int variables to be free'd -from the heap at the same time. +are available for use. A complementary mp\_clear\_multi() function allows multiple mp\_int variables to be free'd +from the heap at the same time. \begin{small} \begin{alltt} int main(void) @@ -460,14 +460,14 @@ int main(void) mp_int num1, num2, num3; int result; - if ((result = mp_init_multi(&num1, + if ((result = mp_init_multi(&num1, &num2, - &num3, NULL)) != MP\_OKAY) \{ - printf("Error initializing the numbers. \%s", + &num3, NULL)) != MP\_OKAY) \{ + printf("Error initializing the numbers. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* use the numbers */ /* We're done with them. */ @@ -478,7 +478,7 @@ int main(void) \end{alltt} \end{small} \subsection{Other Initializers} -To initialized and make a copy of an mp\_int the mp\_init\_copy() function has been provided. +To initialized and make a copy of an mp\_int the mp\_init\_copy() function has been provided. \index{mp\_init\_copy} \begin{alltt} @@ -497,11 +497,11 @@ int main(void) /* We want a copy of num1 in num2 now */ if ((result = mp_init_copy(&num2, &num1)) != MP_OKAY) \{ - printf("Error initializing the copy. \%s", + printf("Error initializing the copy. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* now num2 is ready and contains a copy of num1 */ /* We're done with them. */ @@ -521,7 +521,7 @@ int mp_init_size (mp_int * a, int size); \end{alltt} The $size$ parameter must be greater than zero. If the function succeeds the mp\_int $a$ will be initialized -to have $size$ digits (which are all initially zero). +to have $size$ digits (which are all initially zero). \begin{small} \begin{alltt} int main(void) @@ -531,11 +531,11 @@ int main(void) /* we need a 60-digit number */ if ((result = mp_init_size(&number, 60)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* use the number */ return EXIT_SUCCESS; @@ -556,7 +556,7 @@ int mp_shrink (mp_int * a); This will remove excess digits of the mp\_int $a$. If the operation fails the mp\_int should be intact without the excess digits being removed. Note that you can use a shrunk mp\_int in further computations, however, such operations will require heap operations which can be slow. It is not ideal to shrink mp\_int variables that you will further -modify in the system (unless you are seriously low on memory). +modify in the system (unless you are seriously low on memory). \begin{small} \begin{alltt} int main(void) @@ -565,16 +565,16 @@ int main(void) int result; if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* use the number [e.g. pre-computation] */ /* We're done with it for now. */ if ((result = mp_shrink(&number)) != MP_OKAY) \{ - printf("Error shrinking the number. \%s", + printf("Error shrinking the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -582,7 +582,7 @@ int main(void) /* use it .... */ - /* we're done with it. */ + /* we're done with it. */ mp_clear(&number); return EXIT_SUCCESS; @@ -595,7 +595,7 @@ Within the mp\_int structure are two parameters which control the limitations of the integer the mp\_int is meant to equal. The \textit{used} parameter dictates how many digits are significant, that is, contribute to the value of the mp\_int. The \textit{alloc} parameter dictates how many digits are currently available in the array. If you need to perform an operation that requires more digits you will have to mp\_grow() the mp\_int to -your desired size. +your desired size. \index{mp\_grow} \begin{alltt} @@ -612,16 +612,16 @@ int main(void) int result; if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* use the number */ /* We need to add 20 digits to the number */ if ((result = mp_grow(&number, number.alloc + 20)) != MP_OKAY) \{ - printf("Error growing the number. \%s", + printf("Error growing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -629,7 +629,7 @@ int main(void) /* use the number */ - /* we're done with it. */ + /* we're done with it. */ mp_clear(&number); return EXIT_SUCCESS; @@ -641,7 +641,7 @@ int main(void) Setting mp\_ints to small constants is a relatively common operation. To accomodate these instances there are two small constant assignment functions. The first function is used to set a single digit constant while the second sets an ISO C style ``unsigned long'' constant. The reason for both functions is efficiency. Setting a single digit is quick but the -domain of a digit can change (it's always at least $0 \ldots 127$). +domain of a digit can change (it's always at least $0 \ldots 127$). \subsection{Single Digit} @@ -663,15 +663,15 @@ int main(void) int result; if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* set the number to 5 */ mp_set(&number, 5); - /* we're done with it. */ + /* we're done with it. */ mp_clear(&number); return EXIT_SUCCESS; @@ -680,7 +680,7 @@ int main(void) \subsection{Long Constants} -To set a constant that is the size of an ISO C ``unsigned long'' and larger than a single digit the following function +To set a constant that is the size of an ISO C ``unsigned long'' and larger than a single digit the following function can be used. \index{mp\_set\_int} @@ -689,7 +689,7 @@ int mp_set_int (mp_int * a, unsigned long b); \end{alltt} This will assign the value of the 32-bit variable $b$ to the mp\_int $a$. Unlike mp\_set() this function will always -accept a 32-bit input regardless of the size of a single digit. However, since the value may span several digits +accept a 32-bit input regardless of the size of a single digit. However, since the value may span several digits this function can fail if it runs out of heap memory. To get the ``unsigned long'' copy of an mp\_int the following function can be used. @@ -699,7 +699,7 @@ To get the ``unsigned long'' copy of an mp\_int the following function can be us unsigned long mp_get_int (mp_int * a); \end{alltt} -This will return the 32 least significant bits of the mp\_int $a$. +This will return the 32 least significant bits of the mp\_int $a$. \begin{small} \begin{alltt} int main(void) @@ -708,21 +708,21 @@ int main(void) int result; if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* set the number to 654321 (note this is bigger than 127) */ if ((result = mp_set_int(&number, 654321)) != MP_OKAY) \{ - printf("Error setting the value of the number. \%s", + printf("Error setting the value of the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} printf("number == \%lu", mp_get_int(&number)); - /* we're done with it. */ + /* we're done with it. */ mp_clear(&number); return EXIT_SUCCESS; @@ -735,6 +735,42 @@ This should output the following if the program succeeds. number == 654321 \end{alltt} +\subsection{Long Constants - platform dependant} + +\index{mp\_set\_long} +\begin{alltt} +int mp_set_long (mp_int * a, unsigned long b); +\end{alltt} + +This will assign the value of the platform-dependant sized variable $b$ to the mp\_int $a$. + +To get the ``unsigned long'' copy of an mp\_int the following function can be used. + +\index{mp\_get\_long} +\begin{alltt} +unsigned long mp_get_long (mp_int * a); +\end{alltt} + +This will return the least significant bits of the mp\_int $a$ that fit into an ``unsigned long''. + +\subsection{Long Long Constants} + +\index{mp\_set\_long\_long} +\begin{alltt} +int mp_set_long_long (mp_int * a, unsigned long long b); +\end{alltt} + +This will assign the value of the 64-bit variable $b$ to the mp\_int $a$. + +To get the ``unsigned long long'' copy of an mp\_int the following function can be used. + +\index{mp\_get\_long\_long} +\begin{alltt} +unsigned long long mp_get_long_long (mp_int * a); +\end{alltt} + +This will return the 64 least significant bits of the mp\_int $a$. + \subsection{Initialize and Setting Constants} To both initialize and set small constants the following two functions are available. \index{mp\_init\_set} \index{mp\_init\_set\_int} @@ -743,7 +779,7 @@ int mp_init_set (mp_int * a, mp_digit b); int mp_init_set_int (mp_int * a, unsigned long b); \end{alltt} -Both functions work like the previous counterparts except they first mp\_init $a$ before setting the values. +Both functions work like the previous counterparts except they first mp\_init $a$ before setting the values. \begin{alltt} int main(void) @@ -753,14 +789,14 @@ int main(void) /* initialize and set a single digit */ if ((result = mp_init_set(&number1, 100)) != MP_OKAY) \{ - printf("Error setting number1: \%s", + printf("Error setting number1: \%s", mp_error_to_string(result)); return EXIT_FAILURE; - \} + \} /* initialize and set a long */ if ((result = mp_init_set_int(&number2, 1023)) != MP_OKAY) \{ - printf("Error setting number2: \%s", + printf("Error setting number2: \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -801,14 +837,14 @@ for any comparison. \label{fig:CMP} \end{figure} -In figure \ref{fig:CMP} two integers $a$ and $b$ are being compared. In this case $a$ is said to be ``to the left'' of -$b$. +In figure \ref{fig:CMP} two integers $a$ and $b$ are being compared. In this case $a$ is said to be ``to the left'' of +$b$. \subsection{Unsigned comparison} -An unsigned comparison considers only the digits themselves and not the associated \textit{sign} flag of the +An unsigned comparison considers only the digits themselves and not the associated \textit{sign} flag of the mp\_int structures. This is analogous to an absolute comparison. The function mp\_cmp\_mag() will compare two -mp\_int variables based on their digits only. +mp\_int variables based on their digits only. \index{mp\_cmp\_mag} \begin{alltt} @@ -824,18 +860,18 @@ int main(void) int result; if ((result = mp_init_multi(&number1, &number2, NULL)) != MP_OKAY) \{ - printf("Error initializing the numbers. \%s", + printf("Error initializing the numbers. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* set the number1 to 5 */ mp_set(&number1, 5); - + /* set the number2 to -6 */ mp_set(&number2, 6); if ((result = mp_neg(&number2, &number2)) != MP_OKAY) \{ - printf("Error negating number2. \%s", + printf("Error negating number2. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -846,14 +882,14 @@ int main(void) case MP_LT: printf("|number1| < |number2|"); break; \} - /* we're done with it. */ + /* we're done with it. */ mp_clear_multi(&number1, &number2, NULL); return EXIT_SUCCESS; \} \end{alltt} \end{small} -If this program\footnote{This function uses the mp\_neg() function which is discussed in section \ref{sec:NEG}.} completes +If this program\footnote{This function uses the mp\_neg() function which is discussed in section \ref{sec:NEG}.} completes successfully it should print the following. \begin{alltt} @@ -882,18 +918,18 @@ int main(void) int result; if ((result = mp_init_multi(&number1, &number2, NULL)) != MP_OKAY) \{ - printf("Error initializing the numbers. \%s", + printf("Error initializing the numbers. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* set the number1 to 5 */ mp_set(&number1, 5); - + /* set the number2 to -6 */ mp_set(&number2, 6); if ((result = mp_neg(&number2, &number2)) != MP_OKAY) \{ - printf("Error negating number2. \%s", + printf("Error negating number2. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -904,14 +940,14 @@ int main(void) case MP_LT: printf("number1 < number2"); break; \} - /* we're done with it. */ + /* we're done with it. */ mp_clear_multi(&number1, &number2, NULL); return EXIT_SUCCESS; \} \end{alltt} \end{small} -If this program\footnote{This function uses the mp\_neg() function which is discussed in section \ref{sec:NEG}.} completes +If this program\footnote{This function uses the mp\_neg() function which is discussed in section \ref{sec:NEG}.} completes successfully it should print the following. \begin{alltt} @@ -927,7 +963,7 @@ To compare a single digit against an mp\_int the following function has been pro int mp_cmp_d(mp_int * a, mp_digit b); \end{alltt} -This will compare $a$ to the left of $b$ using a signed comparison. Note that it will always treat $b$ as +This will compare $a$ to the left of $b$ using a signed comparison. Note that it will always treat $b$ as positive. This function is rather handy when you have to compare against small values such as $1$ (which often comes up in cryptography). The function cannot fail and will return one of the tree compare condition codes listed in figure \ref{fig:CMP}. @@ -940,11 +976,11 @@ int main(void) int result; if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* set the number to 5 */ mp_set(&number, 5); @@ -954,7 +990,7 @@ int main(void) case MP_LT: printf("number < 7"); break; \} - /* we're done with it. */ + /* we're done with it. */ mp_clear(&number); return EXIT_SUCCESS; @@ -975,7 +1011,7 @@ AND, XOR and OR directly. These operations are very quick. \subsection{Multiplication by two} Multiplications and divisions by any power of two can be performed with quick logical shifts either left or -right depending on the operation. +right depending on the operation. When multiplying or dividing by two a special case routine can be used which are as follows. \index{mp\_mul\_2} \index{mp\_div\_2} @@ -994,17 +1030,17 @@ int main(void) int result; if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* set the number to 5 */ mp_set(&number, 5); /* multiply by two */ if ((result = mp\_mul\_2(&number, &number)) != MP_OKAY) \{ - printf("Error multiplying the number. \%s", + printf("Error multiplying the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -1016,7 +1052,7 @@ int main(void) /* now divide by two */ if ((result = mp\_div\_2(&number, &number)) != MP_OKAY) \{ - printf("Error dividing the number. \%s", + printf("Error dividing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -1026,7 +1062,7 @@ int main(void) case MP_LT: printf("2*number/2 < 7"); break; \} - /* we're done with it. */ + /* we're done with it. */ mp_clear(&number); return EXIT_SUCCESS; @@ -1040,15 +1076,18 @@ If this program is successful it will print out the following text. 2*number/2 < 7 \end{alltt} -Since $10 > 7$ and $5 < 7$. To multiply by a power of two the following function can be used. +Since $10 > 7$ and $5 < 7$. + +To multiply by a power of two the following function can be used. \index{mp\_mul\_2d} \begin{alltt} int mp_mul_2d(mp_int * a, int b, mp_int * c); \end{alltt} -This will multiply $a$ by $2^b$ and store the result in ``c''. If the value of $b$ is less than or equal to -zero the function will copy $a$ to ``c'' without performing any further actions. +This will multiply $a$ by $2^b$ and store the result in ``c''. If the value of $b$ is less than or equal to +zero the function will copy $a$ to ``c'' without performing any further actions. The multiplication itself +is implemented as a right-shift operation of $a$ by $b$ bits. To divide by a power of two use the following. @@ -1058,14 +1097,15 @@ int mp_div_2d (mp_int * a, int b, mp_int * c, mp_int * d); \end{alltt} Which will divide $a$ by $2^b$, store the quotient in ``c'' and the remainder in ``d'. If $b \le 0$ then the function simply copies $a$ over to ``c'' and zeroes $d$. The variable $d$ may be passed as a \textbf{NULL} -value to signal that the remainder is not desired. +value to signal that the remainder is not desired. The division itself is implemented as a left-shift +operation of $a$ by $b$ bits. \subsection{Polynomial Basis Operations} -Strictly speaking the organization of the integers within the mp\_int structures is what is known as a +Strictly speaking the organization of the integers within the mp\_int structures is what is known as a ``polynomial basis''. This simply means a field element is stored by divisions of a radix. For example, if -$f(x) = \sum_{i=0}^{k} y_ix^k$ for any vector $\vec y$ then the array of digits in $\vec y$ are said to be -the polynomial basis representation of $z$ if $f(\beta) = z$ for a given radix $\beta$. +$f(x) = \sum_{i=0}^{k} y_ix^k$ for any vector $\vec y$ then the array of digits in $\vec y$ are said to be +the polynomial basis representation of $z$ if $f(\beta) = z$ for a given radix $\beta$. To multiply by the polynomial $g(x) = x$ all you have todo is shift the digits of the basis left one place. The following function provides this operation. @@ -1097,7 +1137,7 @@ int mp_and (mp_int * a, mp_int * b, mp_int * c); int mp_xor (mp_int * a, mp_int * b, mp_int * c); \end{alltt} -Which compute $c = a \odot b$ where $\odot$ is one of OR, AND or XOR. +Which compute $c = a \odot b$ where $\odot$ is one of OR, AND or XOR. \section{Addition and Subtraction} @@ -1122,7 +1162,7 @@ Simple integer negation can be performed with the following. int mp_neg (mp_int * a, mp_int * b); \end{alltt} -Which assigns $-a$ to $b$. +Which assigns $-a$ to $b$. \subsection{Absolute} Simple integer absolutes can be performed with the following. @@ -1132,7 +1172,7 @@ Simple integer absolutes can be performed with the following. int mp_abs (mp_int * a, mp_int * b); \end{alltt} -Which assigns $\vert a \vert$ to $b$. +Which assigns $\vert a \vert$ to $b$. \section{Integer Division and Remainder} To perform a complete and general integer division with remainder use the following function. @@ -1141,10 +1181,10 @@ To perform a complete and general integer division with remainder use the follow \begin{alltt} int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d); \end{alltt} - -This divides $a$ by $b$ and stores the quotient in $c$ and $d$. The signed quotient is computed such that -$bc + d = a$. Note that either of $c$ or $d$ can be set to \textbf{NULL} if their value is not required. If -$b$ is zero the function returns \textbf{MP\_VAL}. + +This divides $a$ by $b$ and stores the quotient in $c$ and $d$. The signed quotient is computed such that +$bc + d = a$. Note that either of $c$ or $d$ can be set to \textbf{NULL} if their value is not required. If +$b$ is zero the function returns \textbf{MP\_VAL}. \chapter{Multiplication and Squaring} @@ -1154,7 +1194,7 @@ A full signed integer multiplication can be performed with the following. \begin{alltt} int mp_mul (mp_int * a, mp_int * b, mp_int * c); \end{alltt} -Which assigns the full signed product $ab$ to $c$. This function actually breaks into one of four cases which are +Which assigns the full signed product $ab$ to $c$. This function actually breaks into one of four cases which are specific multiplication routines optimized for given parameters. First there are the Toom-Cook multiplications which should only be used with very large inputs. This is followed by the Karatsuba multiplications which are for moderate sized inputs. Then followed by the Comba and baseline multipliers. @@ -1169,22 +1209,22 @@ int main(void) int result; /* Initialize the numbers */ - if ((result = mp_init_multi(&number1, + if ((result = mp_init_multi(&number1, &number2, NULL)) != MP_OKAY) \{ - printf("Error initializing the numbers. \%s", + printf("Error initializing the numbers. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* set the terms */ if ((result = mp_set_int(&number, 257)) != MP_OKAY) \{ - printf("Error setting number1. \%s", + printf("Error setting number1. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + if ((result = mp_set_int(&number2, 1023)) != MP_OKAY) \{ - printf("Error setting number2. \%s", + printf("Error setting number2. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -1192,7 +1232,7 @@ int main(void) /* multiply them */ if ((result = mp_mul(&number1, &number2, &number1)) != MP_OKAY) \{ - printf("Error multiplying terms. \%s", + printf("Error multiplying terms. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -1205,7 +1245,7 @@ int main(void) return EXIT_SUCCESS; \} -\end{alltt} +\end{alltt} If this program succeeds it shall output the following. @@ -1224,22 +1264,22 @@ int mp_sqr (mp_int * a, mp_int * b); Will square $a$ and store it in $b$. Like the case of multiplication there are four different squaring algorithms all which can be called from mp\_sqr(). It is ideal to use mp\_sqr over mp\_mul when squaring terms because -of the speed difference. +of the speed difference. \section{Tuning Polynomial Basis Routines} Both of the Toom-Cook and Karatsuba multiplication algorithms are faster than the traditional $O(n^2)$ approach that -the Comba and baseline algorithms use. At $O(n^{1.464973})$ and $O(n^{1.584962})$ running times respectively they require +the Comba and baseline algorithms use. At $O(n^{1.464973})$ and $O(n^{1.584962})$ running times respectively they require considerably less work. For example, a 10000-digit multiplication would take roughly 724,000 single precision multiplications with Toom-Cook or 100,000,000 single precision multiplications with the standard Comba (a factor of 138). So why not always use Karatsuba or Toom-Cook? The simple answer is that they have so much overhead that they're not -actually faster than Comba until you hit distinct ``cutoff'' points. For Karatsuba with the default configuration, -GCC 3.3.1 and an Athlon XP processor the cutoff point is roughly 110 digits (about 70 for the Intel P4). That is, at +actually faster than Comba until you hit distinct ``cutoff'' points. For Karatsuba with the default configuration, +GCC 3.3.1 and an Athlon XP processor the cutoff point is roughly 110 digits (about 70 for the Intel P4). That is, at 110 digits Karatsuba and Comba multiplications just about break even and for 110+ digits Karatsuba is faster. -Toom-Cook has incredible overhead and is probably only useful for very large inputs. So far no known cutoff points +Toom-Cook has incredible overhead and is probably only useful for very large inputs. So far no known cutoff points exist and for the most part I just set the cutoff points very high to make sure they're not called. A demo program in the ``etc/'' directory of the project called ``tune.c'' can be used to find the cutoff points. This @@ -1273,19 +1313,19 @@ tuning takes a very long time as the cutoff points are likely to be very high. \chapter{Modular Reduction} -Modular reduction is process of taking the remainder of one quantity divided by another. Expressed -as (\ref{eqn:mod}) the modular reduction is equivalent to the remainder of $b$ divided by $c$. +Modular reduction is process of taking the remainder of one quantity divided by another. Expressed +as (\ref{eqn:mod}) the modular reduction is equivalent to the remainder of $b$ divided by $c$. \begin{equation} a \equiv b \mbox{ (mod }c\mbox{)} \label{eqn:mod} \end{equation} -Of particular interest to cryptography are reductions where $b$ is limited to the range $0 \le b < c^2$ since particularly -fast reduction algorithms can be written for the limited range. +Of particular interest to cryptography are reductions where $b$ is limited to the range $0 \le b < c^2$ since particularly +fast reduction algorithms can be written for the limited range. Note that one of the four optimized reduction algorithms are automatically chosen in the modular exponentiation -algorithm mp\_exptmod when an appropriate modulus is detected. +algorithm mp\_exptmod when an appropriate modulus is detected. \section{Straight Division} In order to effect an arbitrary modular reduction the following algorithm is provided. @@ -1295,7 +1335,7 @@ In order to effect an arbitrary modular reduction the following algorithm is pro int mp_mod(mp_int *a, mp_int *b, mp_int *c); \end{alltt} -This reduces $a$ modulo $b$ and stores the result in $c$. The sign of $c$ shall agree with the sign +This reduces $a$ modulo $b$ and stores the result in $c$. The sign of $c$ shall agree with the sign of $b$. This algorithm accepts an input $a$ of any range and is not limited by $0 \le a < b^2$. \section{Barrett Reduction} @@ -1325,52 +1365,52 @@ int main(void) mp_int a, b, c, mu; int result; - /* initialize a,b to desired values, mp_init mu, - * c and set c to 1...we want to compute a^3 mod b + /* initialize a,b to desired values, mp_init mu, + * c and set c to 1...we want to compute a^3 mod b */ /* get mu value */ if ((result = mp_reduce_setup(&mu, b)) != MP_OKAY) \{ - printf("Error getting mu. \%s", + printf("Error getting mu. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* square a to get c = a^2 */ if ((result = mp_sqr(&a, &c)) != MP_OKAY) \{ - printf("Error squaring. \%s", + printf("Error squaring. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* now reduce `c' modulo b */ if ((result = mp_reduce(&c, &b, &mu)) != MP_OKAY) \{ - printf("Error reducing. \%s", + printf("Error reducing. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* multiply a to get c = a^3 */ if ((result = mp_mul(&a, &c, &c)) != MP_OKAY) \{ - printf("Error reducing. \%s", + printf("Error reducing. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* now reduce `c' modulo b */ if ((result = mp_reduce(&c, &b, &mu)) != MP_OKAY) \{ - printf("Error reducing. \%s", + printf("Error reducing. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* c now equals a^3 mod b */ return EXIT_SUCCESS; \} -\end{alltt} +\end{alltt} -This program will calculate $a^3 \mbox{ mod }b$ if all the functions succeed. +This program will calculate $a^3 \mbox{ mod }b$ if all the functions succeed. \section{Montgomery Reduction} @@ -1382,7 +1422,7 @@ step is required. This is accomplished with the following. int mp_montgomery_setup(mp_int *a, mp_digit *mp); \end{alltt} -For the given odd moduli $a$ the precomputation value is placed in $mp$. The reduction is computed with the +For the given odd moduli $a$ the precomputation value is placed in $mp$. The reduction is computed with the following. \index{mp\_montgomery\_reduce} @@ -1394,10 +1434,10 @@ $0 \le a < b^2$. Montgomery reduction is faster than Barrett reduction for moduli smaller than the ``comba'' limit. With the default setup for instance, the limit is $127$ digits ($3556$--bits). Note that this function is not limited to -$127$ digits just that it falls back to a baseline algorithm after that point. +$127$ digits just that it falls back to a baseline algorithm after that point. -An important observation is that this reduction does not return $a \mbox{ mod }m$ but $aR^{-1} \mbox{ mod }m$ -where $R = \beta^n$, $n$ is the n number of digits in $m$ and $\beta$ is radix used (default is $2^{28}$). +An important observation is that this reduction does not return $a \mbox{ mod }m$ but $aR^{-1} \mbox{ mod }m$ +where $R = \beta^n$, $n$ is the n number of digits in $m$ and $\beta$ is radix used (default is $2^{28}$). To quickly calculate $R$ the following function was provided. @@ -1405,7 +1445,7 @@ To quickly calculate $R$ the following function was provided. \begin{alltt} int mp_montgomery_calc_normalization(mp_int *a, mp_int *b); \end{alltt} -Which calculates $a = R$ for the odd moduli $b$ without using multiplication or division. +Which calculates $a = R$ for the odd moduli $b$ without using multiplication or division. The normal modus operandi for Montgomery reductions is to normalize the integers before entering the system. For example, to calculate $a^3 \mbox { mod }b$ using Montgomery reduction the value of $a$ can be normalized by @@ -1418,62 +1458,62 @@ int main(void) mp_digit mp; int result; - /* initialize a,b to desired values, - * mp_init R, c and set c to 1.... + /* initialize a,b to desired values, + * mp_init R, c and set c to 1.... */ /* get normalization */ if ((result = mp_montgomery_calc_normalization(&R, b)) != MP_OKAY) \{ - printf("Error getting norm. \%s", + printf("Error getting norm. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* get mp value */ if ((result = mp_montgomery_setup(&c, &mp)) != MP_OKAY) \{ - printf("Error setting up montgomery. \%s", + printf("Error setting up montgomery. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* normalize `a' so now a is equal to aR */ if ((result = mp_mulmod(&a, &R, &b, &a)) != MP_OKAY) \{ - printf("Error computing aR. \%s", + printf("Error computing aR. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* square a to get c = a^2R^2 */ if ((result = mp_sqr(&a, &c)) != MP_OKAY) \{ - printf("Error squaring. \%s", + printf("Error squaring. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* now reduce `c' back down to c = a^2R^2 * R^-1 == a^2R */ if ((result = mp_montgomery_reduce(&c, &b, mp)) != MP_OKAY) \{ - printf("Error reducing. \%s", + printf("Error reducing. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* multiply a to get c = a^3R^2 */ if ((result = mp_mul(&a, &c, &c)) != MP_OKAY) \{ - printf("Error reducing. \%s", + printf("Error reducing. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* now reduce `c' back down to c = a^3R^2 * R^-1 == a^3R */ if ((result = mp_montgomery_reduce(&c, &b, mp)) != MP_OKAY) \{ - printf("Error reducing. \%s", + printf("Error reducing. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* now reduce (again) `c' back down to c = a^3R * R^-1 == a^3 */ if ((result = mp_montgomery_reduce(&c, &b, mp)) != MP_OKAY) \{ - printf("Error reducing. \%s", + printf("Error reducing. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -1482,9 +1522,9 @@ int main(void) return EXIT_SUCCESS; \} -\end{alltt} +\end{alltt} -This particular example does not look too efficient but it demonstrates the point of the algorithm. By +This particular example does not look too efficient but it demonstrates the point of the algorithm. By normalizing the inputs the reduced results are always of the form $aR$ for some variable $a$. This allows a single final reduction to correct for the normalization and the fast reduction used within the algorithm. @@ -1494,7 +1534,7 @@ For more details consider examining the file \textit{bn\_mp\_exptmod\_fast.c}. ``Dimminished Radix'' reduction refers to reduction with respect to moduli that are ameniable to simple digit shifting and small multiplications. In this case the ``restricted'' variant refers to moduli of the -form $\beta^k - p$ for some $k \ge 0$ and $0 < p < \beta$ where $\beta$ is the radix (default to $2^{28}$). +form $\beta^k - p$ for some $k \ge 0$ and $0 < p < \beta$ where $\beta$ is the radix (default to $2^{28}$). As in the case of Montgomery reduction there is a pre--computation phase required for a given modulus. @@ -1513,45 +1553,62 @@ int mp_dr_reduce(mp_int *a, mp_int *b, mp_digit mp); \end{alltt} This reduces $a$ in place modulo $b$ with the pre--computed value $mp$. $b$ must be of a restricted -dimminished radix form and $a$ must be in the range $0 \le a < b^2$. Dimminished radix reductions are -much faster than both Barrett and Montgomery reductions as they have a much lower asymtotic running time. +dimminished radix form and $a$ must be in the range $0 \le a < b^2$. Dimminished radix reductions are +much faster than both Barrett and Montgomery reductions as they have a much lower asymtotic running time. Since the moduli are restricted this algorithm is not particularly useful for something like Rabin, RSA or BBS cryptographic purposes. This reduction algorithm is useful for Diffie-Hellman and ECC where fixed -primes are acceptable. +primes are acceptable. Note that unlike Montgomery reduction there is no normalization process. The result of this function is equal to the correct residue. \section{Unrestricted Dimminshed Radix} -Unrestricted reductions work much like the restricted counterparts except in this case the moduli is of the -form $2^k - p$ for $0 < p < \beta$. In this sense the unrestricted reductions are more flexible as they -can be applied to a wider range of numbers. +Unrestricted reductions work much like the restricted counterparts except in this case the moduli is of the +form $2^k - p$ for $0 < p < \beta$. In this sense the unrestricted reductions are more flexible as they +can be applied to a wider range of numbers. \index{mp\_reduce\_2k\_setup} \begin{alltt} int mp_reduce_2k_setup(mp_int *a, mp_digit *d); \end{alltt} -This will compute the required $d$ value for the given moduli $a$. +This will compute the required $d$ value for the given moduli $a$. \index{mp\_reduce\_2k} \begin{alltt} int mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d); \end{alltt} -This will reduce $a$ in place modulo $n$ with the pre--computed value $d$. From my experience this routine is -slower than mp\_dr\_reduce but faster for most moduli sizes than the Montgomery reduction. +This will reduce $a$ in place modulo $n$ with the pre--computed value $d$. From my experience this routine is +slower than mp\_dr\_reduce but faster for most moduli sizes than the Montgomery reduction. \chapter{Exponentiation} \section{Single Digit Exponentiation} +\index{mp\_expt\_d\_ex} +\begin{alltt} +int mp_expt_d_ex (mp_int * a, mp_digit b, mp_int * c, int fast) +\end{alltt} +This function computes $c = a^b$. + +With parameter \textit{fast} set to $0$ the old version of the algorithm is used, +when \textit{fast} is $1$, a faster but not statically timed version of the algorithm is used. + +The old version uses a simple binary left-to-right algorithm. +It is faster than repeated multiplications by $a$ for all values of $b$ greater than three. + +The new version uses a binary right-to-left algorithm. + +The difference between the old and the new version is that the old version always +executes $DIGIT\_BIT$ iterations. The new algorithm executes only $n$ iterations +where $n$ is equal to the position of the highest bit that is set in $b$. + \index{mp\_expt\_d} \begin{alltt} int mp_expt_d (mp_int * a, mp_digit b, mp_int * c) \end{alltt} -This computes $c = a^b$ using a simple binary left-to-right algorithm. It is faster than repeated multiplications by -$a$ for all values of $b$ greater than three. +mp\_expt\_d(a, b, c) is a wrapper function to mp\_expt\_d\_ex(a, b, c, 0). \section{Modular Exponentiation} \index{mp\_exptmod} @@ -1559,8 +1616,8 @@ $a$ for all values of $b$ greater than three. int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) \end{alltt} This computes $Y \equiv G^X \mbox{ (mod }P\mbox{)}$ using a variable width sliding window algorithm. This function -will automatically detect the fastest modular reduction technique to use during the operation. For negative values of -$X$ the operation is performed as $Y \equiv (G^{-1} \mbox{ mod }P)^{\vert X \vert} \mbox{ (mod }P\mbox{)}$ provided that +will automatically detect the fastest modular reduction technique to use during the operation. For negative values of +$X$ the operation is performed as $Y \equiv (G^{-1} \mbox{ mod }P)^{\vert X \vert} \mbox{ (mod }P\mbox{)}$ provided that $gcd(G, P) = 1$. This function is actually a shell around the two internal exponentiation functions. This routine will automatically @@ -1573,16 +1630,16 @@ and the other two algorithms. \begin{alltt} int mp_n_root (mp_int * a, mp_digit b, mp_int * c) \end{alltt} -This computes $c = a^{1/b}$ such that $c^b \le a$ and $(c+1)^b > a$. The implementation of this function is not +This computes $c = a^{1/b}$ such that $c^b \le a$ and $(c+1)^b > a$. The implementation of this function is not ideal for values of $b$ greater than three. It will work but become very slow. So unless you are working with very small numbers (less than 1000 bits) I'd avoid $b > 3$ situations. Will return a positive root only for even roots and return -a root with the sign of the input for odd roots. For example, performing $4^{1/2}$ will return $2$ whereas $(-8)^{1/3}$ -will return $-2$. +a root with the sign of the input for odd roots. For example, performing $4^{1/2}$ will return $2$ whereas $(-8)^{1/3}$ +will return $-2$. This algorithm uses the ``Newton Approximation'' method and will converge on the correct root fairly quickly. Since the algorithm requires raising $a$ to the power of $b$ it is not ideal to attempt to find roots for large values of $b$. If particularly large roots are required then a factor method could be used instead. For example, -$a^{1/16}$ is equivalent to $\left (a^{1/4} \right)^{1/4}$ or simply +$a^{1/16}$ is equivalent to $\left (a^{1/4} \right)^{1/4}$ or simply $\left ( \left ( \left ( a^{1/2} \right )^{1/2} \right )^{1/2} \right )^{1/2}$ \chapter{Prime Numbers} @@ -1591,8 +1648,8 @@ $\left ( \left ( \left ( a^{1/2} \right )^{1/2} \right )^{1/2} \right )^{1/2}$ \begin{alltt} int mp_prime_is_divisible (mp_int * a, int *result) \end{alltt} -This will attempt to evenly divide $a$ by a list of primes\footnote{Default is the first 256 primes.} and store the -outcome in ``result''. That is if $result = 0$ then $a$ is not divisible by the primes, otherwise it is. Note that +This will attempt to evenly divide $a$ by a list of primes\footnote{Default is the first 256 primes.} and store the +outcome in ``result''. That is if $result = 0$ then $a$ is not divisible by the primes, otherwise it is. Note that if the function does not return \textbf{MP\_OKAY} the value in ``result'' should be considered undefined\footnote{Currently the default is to set it to zero first.}. @@ -1611,10 +1668,10 @@ is set to zero. int mp_prime_miller_rabin (mp_int * a, mp_int * b, int *result) \end{alltt} Performs a Miller-Rabin test to the base $b$ of $a$. This test is much stronger than the Fermat test and is very hard to -fool (besides with Carmichael numbers). If $a$ passes the test (therefore is probably prime) $result$ is set to one. -Otherwise $result$ is set to zero. +fool (besides with Carmichael numbers). If $a$ passes the test (therefore is probably prime) $result$ is set to one. +Otherwise $result$ is set to zero. -Note that is suggested that you use the Miller-Rabin test instead of the Fermat test since all of the failures of +Note that is suggested that you use the Miller-Rabin test instead of the Fermat test since all of the failures of Miller-Rabin are a subset of the failures of the Fermat test. \subsection{Required Number of Tests} @@ -1628,7 +1685,7 @@ int mp_prime_rabin_miller_trials(int size) \end{alltt} This returns the number of trials required for a $2^{-96}$ (or lower) probability of failure for a given ``size'' expressed in bits. This comes in handy specially since larger numbers are slower to test. For example, a 512-bit number would -require ten tests whereas a 1024-bit number would only require four tests. +require ten tests whereas a 1024-bit number would only require four tests. You should always still perform a trial division before a Miller-Rabin test though. @@ -1637,8 +1694,8 @@ You should always still perform a trial division before a Miller-Rabin test thou \begin{alltt} int mp_prime_is_prime (mp_int * a, int t, int *result) \end{alltt} -This will perform a trial division followed by $t$ rounds of Miller-Rabin tests on $a$ and store the result in $result$. -If $a$ passes all of the tests $result$ is set to one, otherwise it is set to zero. Note that $t$ is bounded by +This will perform a trial division followed by $t$ rounds of Miller-Rabin tests on $a$ and store the result in $result$. +If $a$ passes all of the tests $result$ is set to one, otherwise it is set to zero. Note that $t$ is bounded by $1 \le t < PRIME\_SIZE$ where $PRIME\_SIZE$ is the number of primes in the prime number table (by default this is $256$). \section{Next Prime} @@ -1646,25 +1703,25 @@ $1 \le t < PRIME\_SIZE$ where $PRIME\_SIZE$ is the number of primes in the prime \begin{alltt} int mp_prime_next_prime(mp_int *a, int t, int bbs_style) \end{alltt} -This finds the next prime after $a$ that passes mp\_prime\_is\_prime() with $t$ tests. Set $bbs\_style$ to one if you -want only the next prime congruent to $3 \mbox{ mod } 4$, otherwise set it to zero to find any next prime. +This finds the next prime after $a$ that passes mp\_prime\_is\_prime() with $t$ tests. Set $bbs\_style$ to one if you +want only the next prime congruent to $3 \mbox{ mod } 4$, otherwise set it to zero to find any next prime. \section{Random Primes} \index{mp\_prime\_random} \begin{alltt} -int mp_prime_random(mp_int *a, int t, int size, int bbs, +int mp_prime_random(mp_int *a, int t, int size, int bbs, ltm_prime_callback cb, void *dat) \end{alltt} This will find a prime greater than $256^{size}$ which can be ``bbs\_style'' or not depending on $bbs$ and must pass -$t$ rounds of tests. The ``ltm\_prime\_callback'' is a typedef for +$t$ rounds of tests. The ``ltm\_prime\_callback'' is a typedef for \begin{alltt} typedef int ltm_prime_callback(unsigned char *dst, int len, void *dat); \end{alltt} Which is a function that must read $len$ bytes (and return the amount stored) into $dst$. The $dat$ variable is simply -copied from the original input. It can be used to pass RNG context data to the callback. The function -mp\_prime\_random() is more suitable for generating primes which must be secret (as in the case of RSA) since there +copied from the original input. It can be used to pass RNG context data to the callback. The function +mp\_prime\_random() is more suitable for generating primes which must be secret (as in the case of RSA) since there is no skew on the least significant bits. \textit{Note:} As of v0.30 of the LibTomMath library this function has been deprecated. It is still available @@ -1673,13 +1730,13 @@ but users are encouraged to use the new mp\_prime\_random\_ex() function instead \subsection{Extended Generation} \index{mp\_prime\_random\_ex} \begin{alltt} -int mp_prime_random_ex(mp_int *a, int t, - int size, int flags, +int mp_prime_random_ex(mp_int *a, int t, + int size, int flags, ltm_prime_callback cb, void *dat); \end{alltt} This will generate a prime in $a$ using $t$ tests of the primality testing algorithms. The variable $size$ specifies the bit length of the prime desired. The variable $flags$ specifies one of several options available -(see fig. \ref{fig:primeopts}) which can be OR'ed together. The callback parameters are used as in +(see fig. \ref{fig:primeopts}) which can be OR'ed together. The callback parameters are used as in mp\_prime\_random(). \begin{figure}[here] @@ -1717,8 +1774,8 @@ by the conversion before storing any data use the following function. \begin{alltt} int mp_radix_size (mp_int * a, int radix, int *size) \end{alltt} -This stores in ``size'' the number of characters (including space for the NUL terminator) required. Upon error this -function returns an error code and ``size'' will be zero. +This stores in ``size'' the number of characters (including space for the NUL terminator) required. Upon error this +function returns an error code and ``size'' will be zero. \subsection{From ASCII} \index{mp\_read\_radix} @@ -1764,13 +1821,13 @@ int mp_to_signed_bin(mp_int *a, unsigned char *b); \end{alltt} They operate essentially the same as the unsigned copies except they prefix the data with zero or non--zero byte depending on the sign. If the sign is zpos (e.g. not negative) the prefix is zero, otherwise the prefix -is non--zero. +is non--zero. \chapter{Algebraic Functions} \section{Extended Euclidean Algorithm} \index{mp\_exteuclid} \begin{alltt} -int mp_exteuclid(mp_int *a, mp_int *b, +int mp_exteuclid(mp_int *a, mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3); \end{alltt} @@ -1780,7 +1837,7 @@ This finds the triple U1/U2/U3 using the Extended Euclidean algorithm such that a \cdot U1 + b \cdot U2 = U3 \end{equation} -Any of the U1/U2/U3 paramters can be set to \textbf{NULL} if they are not desired. +Any of the U1/U2/U3 paramters can be set to \textbf{NULL} if they are not desired. \section{Greatest Common Divisor} \index{mp\_gcd} @@ -1804,7 +1861,28 @@ int mp_jacobi (mp_int * a, mp_int * p, int *c) This will compute the Jacobi symbol for $a$ with respect to $p$. If $p$ is prime this essentially computes the Legendre symbol. The result is stored in $c$ and can take on one of three values $\lbrace -1, 0, 1 \rbrace$. If $p$ is prime then the result will be $-1$ when $a$ is not a quadratic residue modulo $p$. The result will be $0$ if $a$ divides $p$ -and the result will be $1$ if $a$ is a quadratic residue modulo $p$. +and the result will be $1$ if $a$ is a quadratic residue modulo $p$. + +\section{Modular square root} +\index{mp\_sqrtmod\_prime} +\begin{alltt} +int mp_sqrtmod_prime(mp_int *n, mp_int *p, mp_int *r) +\end{alltt} + +This will solve the modular equatioon $r^2 = n \mod p$ where $p$ is a prime number greater than 2 (odd prime). +The result is returned in the third argument $r$, the function returns \textbf{MP\_OKAY} on success, +other return values indicate failure. + +The implementation is split for two different cases: + +1. if $p \mod 4 == 3$ we apply \href{http://cacr.uwaterloo.ca/hac/}{Handbook of Applied Cryptography algorithm 3.36} and compute $r$ directly as +$r = n^{(p+1)/4} \mod p$ + +2. otherwise we use \href{https://en.wikipedia.org/wiki/Tonelli-Shanks_algorithm}{Tonelli-Shanks algorithm} + +The function does not check the primality of parameter $p$ thus it is up to the caller to assure that this parameter +is a prime number. When $p$ is a composite the function behaviour is undefined, it may even return a false-positive +\textbf{MP\_OKAY}. \section{Modular Inverse} \index{mp\_invmod} diff --git a/libtommath/bn_error.c b/libtommath/bn_error.c index 250057b..3abf1a7 100644 --- a/libtommath/bn_error.c +++ b/libtommath/bn_error.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_ERROR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,12 +12,12 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ static const struct { int code; - char *msg; + const char *msg; } msgs[] = { { MP_OKAY, "Successful" }, { MP_MEM, "Out of heap" }, @@ -25,7 +25,7 @@ static const struct { }; /* return a char * string for a given code */ -char *mp_error_to_string(int code) +const char *mp_error_to_string(int code) { int x; @@ -43,5 +43,5 @@ char *mp_error_to_string(int code) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_fast_mp_invmod.c b/libtommath/bn_fast_mp_invmod.c index 948a134..aa41098 100644 --- a/libtommath/bn_fast_mp_invmod.c +++ b/libtommath/bn_fast_mp_invmod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_FAST_MP_INVMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* computes the modular inverse via binary extended euclidean algorithm, @@ -27,7 +27,7 @@ int fast_mp_invmod (mp_int * a, mp_int * b, mp_int * c) int res, neg; /* 2. [modified] b must be odd */ - if (mp_iseven (b) == 1) { + if (mp_iseven (b) == MP_YES) { return MP_VAL; } @@ -57,13 +57,13 @@ int fast_mp_invmod (mp_int * a, mp_int * b, mp_int * c) top: /* 4. while u is even do */ - while (mp_iseven (&u) == 1) { + while (mp_iseven (&u) == MP_YES) { /* 4.1 u = u/2 */ if ((res = mp_div_2 (&u, &u)) != MP_OKAY) { goto LBL_ERR; } /* 4.2 if B is odd then */ - if (mp_isodd (&B) == 1) { + if (mp_isodd (&B) == MP_YES) { if ((res = mp_sub (&B, &x, &B)) != MP_OKAY) { goto LBL_ERR; } @@ -75,13 +75,13 @@ top: } /* 5. while v is even do */ - while (mp_iseven (&v) == 1) { + while (mp_iseven (&v) == MP_YES) { /* 5.1 v = v/2 */ if ((res = mp_div_2 (&v, &v)) != MP_OKAY) { goto LBL_ERR; } /* 5.2 if D is odd then */ - if (mp_isodd (&D) == 1) { + if (mp_isodd (&D) == MP_YES) { /* D = (D-x)/2 */ if ((res = mp_sub (&D, &x, &D)) != MP_OKAY) { goto LBL_ERR; @@ -115,7 +115,7 @@ top: } /* if not zero goto step 4 */ - if (mp_iszero (&u) == 0) { + if (mp_iszero (&u) == MP_NO) { goto top; } @@ -144,5 +144,5 @@ LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &B, &D, NULL); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_fast_mp_montgomery_reduce.c b/libtommath/bn_fast_mp_montgomery_reduce.c index 1a81689..a63839d 100644 --- a/libtommath/bn_fast_mp_montgomery_reduce.c +++ b/libtommath/bn_fast_mp_montgomery_reduce.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_FAST_MP_MONTGOMERY_REDUCE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* computes xR**-1 == x (mod N) via Montgomery Reduction @@ -32,7 +32,7 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) olduse = x->used; /* grow a as required */ - if (x->alloc < n->used + 1) { + if (x->alloc < (n->used + 1)) { if ((res = mp_grow (x, n->used + 1)) != MP_OKAY) { return res; } @@ -42,8 +42,8 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) * an array of double precision words W[...] */ { - register mp_word *_W; - register mp_digit *tmpx; + mp_word *_W; + mp_digit *tmpx; /* alias for the W[] array */ _W = W; @@ -57,7 +57,7 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) } /* zero the high words of W[a->used..m->used*2] */ - for (; ix < n->used * 2 + 1; ix++) { + for (; ix < ((n->used * 2) + 1); ix++) { *_W++ = 0; } } @@ -72,7 +72,7 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) * by casting the value down to a mp_digit. Note this requires * that W[ix-1] have the carry cleared (see after the inner loop) */ - register mp_digit mu; + mp_digit mu; mu = (mp_digit) (((W[ix] & MP_MASK) * rho) & MP_MASK); /* a = a + mu * m * b**i @@ -90,9 +90,9 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) * first m->used words of W[] have the carries fixed */ { - register int iy; - register mp_digit *tmpn; - register mp_word *_W; + int iy; + mp_digit *tmpn; + mp_word *_W; /* alias for the digits of the modulus */ tmpn = n->dp; @@ -115,8 +115,8 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) * significant digits we zeroed]. */ { - register mp_digit *tmpx; - register mp_word *_W, *_W1; + mp_digit *tmpx; + mp_word *_W, *_W1; /* nox fix rest of carries */ @@ -126,7 +126,7 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) /* alias for next word, where the carry goes */ _W = W + ++ix; - for (; ix <= n->used * 2 + 1; ix++) { + for (; ix <= ((n->used * 2) + 1); ix++) { *_W++ += *_W1++ >> ((mp_word) DIGIT_BIT); } @@ -143,7 +143,7 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) /* alias for shifted double precision result */ _W = W + n->used; - for (ix = 0; ix < n->used + 1; ix++) { + for (ix = 0; ix < (n->used + 1); ix++) { *tmpx++ = (mp_digit)(*_W++ & ((mp_word) MP_MASK)); } @@ -168,5 +168,5 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_fast_s_mp_mul_digs.c b/libtommath/bn_fast_s_mp_mul_digs.c index 04becfd..acd13b4 100644 --- a/libtommath/bn_fast_s_mp_mul_digs.c +++ b/libtommath/bn_fast_s_mp_mul_digs.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_FAST_S_MP_MUL_DIGS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* Fast (comba) multiplier @@ -35,7 +35,7 @@ int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) { int olduse, res, pa, ix, iz; mp_digit W[MP_WARRAY]; - register mp_word _W; + mp_word _W; /* grow the destination as required */ if (c->alloc < digs) { @@ -78,16 +78,16 @@ int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) /* make next carry */ _W = _W >> ((mp_word)DIGIT_BIT); - } + } /* setup dest */ olduse = c->used; c->used = pa; { - register mp_digit *tmpc; + mp_digit *tmpc; tmpc = c->dp; - for (ix = 0; ix < pa+1; ix++) { + for (ix = 0; ix < (pa + 1); ix++) { /* now extract the previous digit [below the carry] */ *tmpc++ = W[ix]; } @@ -103,5 +103,5 @@ int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_fast_s_mp_mul_high_digs.c b/libtommath/bn_fast_s_mp_mul_high_digs.c index 98bee37..b96cf60 100644 --- a/libtommath/bn_fast_s_mp_mul_high_digs.c +++ b/libtommath/bn_fast_s_mp_mul_high_digs.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_FAST_S_MP_MUL_HIGH_DIGS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* this is a modified version of fast_s_mul_digs that only produces @@ -75,7 +75,7 @@ int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) c->used = pa; { - register mp_digit *tmpc; + mp_digit *tmpc; tmpc = c->dp + digs; for (ix = digs; ix < pa; ix++) { @@ -94,5 +94,5 @@ int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_fast_s_mp_sqr.c b/libtommath/bn_fast_s_mp_sqr.c index 086b52c..775c76f 100644 --- a/libtommath/bn_fast_s_mp_sqr.c +++ b/libtommath/bn_fast_s_mp_sqr.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_FAST_S_MP_SQR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* the jist of squaring... @@ -66,7 +66,7 @@ int fast_s_mp_sqr (mp_int * a, mp_int * b) * we halve the distance since they approach at a rate of 2x * and we have to round because odd cases need to be executed */ - iy = MIN(iy, (ty-tx+1)>>1); + iy = MIN(iy, ((ty-tx)+1)>>1); /* execute loop */ for (iz = 0; iz < iy; iz++) { @@ -110,5 +110,5 @@ int fast_s_mp_sqr (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_2expt.c b/libtommath/bn_mp_2expt.c index 4774aab..2845814 100644 --- a/libtommath/bn_mp_2expt.c +++ b/libtommath/bn_mp_2expt.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_2EXPT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* computes a = 2**b @@ -29,12 +29,12 @@ mp_2expt (mp_int * a, int b) mp_zero (a); /* grow a to accomodate the single bit */ - if ((res = mp_grow (a, b / DIGIT_BIT + 1)) != MP_OKAY) { + if ((res = mp_grow (a, (b / DIGIT_BIT) + 1)) != MP_OKAY) { return res; } /* set the used count of where the bit will go */ - a->used = b / DIGIT_BIT + 1; + a->used = (b / DIGIT_BIT) + 1; /* put the single bit in its place */ a->dp[b / DIGIT_BIT] = ((mp_digit)1) << (b % DIGIT_BIT); @@ -44,5 +44,5 @@ mp_2expt (mp_int * a, int b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_abs.c b/libtommath/bn_mp_abs.c index 4d1fa44..cc9c3db 100644 --- a/libtommath/bn_mp_abs.c +++ b/libtommath/bn_mp_abs.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_ABS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* b = |a| @@ -39,5 +39,5 @@ mp_abs (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_add.c b/libtommath/bn_mp_add.c index 122c850..236fc75 100644 --- a/libtommath/bn_mp_add.c +++ b/libtommath/bn_mp_add.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_ADD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* high level addition (handles signs) */ @@ -49,5 +49,5 @@ int mp_add (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_add_d.c b/libtommath/bn_mp_add_d.c index aec8fc8..4d4e1df 100644 --- a/libtommath/bn_mp_add_d.c +++ b/libtommath/bn_mp_add_d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_ADD_D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* single digit addition */ @@ -23,14 +23,14 @@ mp_add_d (mp_int * a, mp_digit b, mp_int * c) mp_digit *tmpa, *tmpc, mu; /* grow c as required */ - if (c->alloc < a->used + 1) { + if (c->alloc < (a->used + 1)) { if ((res = mp_grow(c, a->used + 1)) != MP_OKAY) { return res; } } /* if a is negative and |a| >= b, call c = |a| - b */ - if (a->sign == MP_NEG && (a->used > 1 || a->dp[0] >= b)) { + if ((a->sign == MP_NEG) && ((a->used > 1) || (a->dp[0] >= b))) { /* temporarily fix sign of a */ a->sign = MP_ZPOS; @@ -108,5 +108,5 @@ mp_add_d (mp_int * a, mp_digit b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_addmod.c b/libtommath/bn_mp_addmod.c index 0376659..825c928 100644 --- a/libtommath/bn_mp_addmod.c +++ b/libtommath/bn_mp_addmod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_ADDMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* d = a + b (mod c) */ @@ -37,5 +37,5 @@ mp_addmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_and.c b/libtommath/bn_mp_and.c index 22dfbff..3b6b03e 100644 --- a/libtommath/bn_mp_and.c +++ b/libtommath/bn_mp_and.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_AND_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* AND two ints together */ @@ -53,5 +53,5 @@ mp_and (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_clamp.c b/libtommath/bn_mp_clamp.c index 1e0c817..d4fb70d 100644 --- a/libtommath/bn_mp_clamp.c +++ b/libtommath/bn_mp_clamp.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_CLAMP_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* trim unused digits @@ -28,7 +28,7 @@ mp_clamp (mp_int * a) /* decrease used while the most significant digit is * zero. */ - while (a->used > 0 && a->dp[a->used - 1] == 0) { + while ((a->used > 0) && (a->dp[a->used - 1] == 0)) { --(a->used); } @@ -40,5 +40,5 @@ mp_clamp (mp_int * a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_clear.c b/libtommath/bn_mp_clear.c index 72301df..17ef9d5 100644 --- a/libtommath/bn_mp_clear.c +++ b/libtommath/bn_mp_clear.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_CLEAR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* clear one (frees) */ @@ -40,5 +40,5 @@ mp_clear (mp_int * a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_clear_multi.c b/libtommath/bn_mp_clear_multi.c index 6bbc10c..441a200 100644 --- a/libtommath/bn_mp_clear_multi.c +++ b/libtommath/bn_mp_clear_multi.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_CLEAR_MULTI_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ #include @@ -30,5 +30,5 @@ void mp_clear_multi(mp_int *mp, ...) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_cmp.c b/libtommath/bn_mp_cmp.c index 77d00cd..74a98fe 100644 --- a/libtommath/bn_mp_cmp.c +++ b/libtommath/bn_mp_cmp.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_CMP_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* compare two ints (signed)*/ @@ -39,5 +39,5 @@ mp_cmp (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_cmp_d.c b/libtommath/bn_mp_cmp_d.c index 0d5bcb4..28a53ce 100644 --- a/libtommath/bn_mp_cmp_d.c +++ b/libtommath/bn_mp_cmp_d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_CMP_D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* compare a digit */ @@ -40,5 +40,5 @@ int mp_cmp_d(mp_int * a, mp_digit b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_cmp_mag.c b/libtommath/bn_mp_cmp_mag.c index 063fd18..f72830f 100644 --- a/libtommath/bn_mp_cmp_mag.c +++ b/libtommath/bn_mp_cmp_mag.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_CMP_MAG_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* compare maginitude of two ints (unsigned) */ @@ -51,5 +51,5 @@ int mp_cmp_mag (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_cnt_lsb.c b/libtommath/bn_mp_cnt_lsb.c index efebd2a..9d7eef8 100644 --- a/libtommath/bn_mp_cnt_lsb.c +++ b/libtommath/bn_mp_cnt_lsb.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_CNT_LSB_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ static const int lnz[16] = { @@ -26,12 +26,12 @@ int mp_cnt_lsb(mp_int *a) mp_digit q, qq; /* easy out */ - if (mp_iszero(a) == 1) { + if (mp_iszero(a) == MP_YES) { return 0; } /* scan lower digits until non-zero */ - for (x = 0; x < a->used && a->dp[x] == 0; x++); + for (x = 0; (x < a->used) && (a->dp[x] == 0); x++) {} q = a->dp[x]; x *= DIGIT_BIT; @@ -49,5 +49,5 @@ int mp_cnt_lsb(mp_int *a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_copy.c b/libtommath/bn_mp_copy.c index 45cac61..69e9464 100644 --- a/libtommath/bn_mp_copy.c +++ b/libtommath/bn_mp_copy.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_COPY_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* copy, b = a */ @@ -35,7 +35,7 @@ mp_copy (mp_int * a, mp_int * b) /* zero b and copy the parameters over */ { - register mp_digit *tmpa, *tmpb; + mp_digit *tmpa, *tmpb; /* pointer aliases */ @@ -64,5 +64,5 @@ mp_copy (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_count_bits.c b/libtommath/bn_mp_count_bits.c index 6c02ec6..74b59b6 100644 --- a/libtommath/bn_mp_count_bits.c +++ b/libtommath/bn_mp_count_bits.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_COUNT_BITS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* returns the number of bits in an int */ @@ -41,5 +41,5 @@ mp_count_bits (mp_int * a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_div.c b/libtommath/bn_mp_div.c index af5c55d..3ca5d7f 100644 --- a/libtommath/bn_mp_div.c +++ b/libtommath/bn_mp_div.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_DIV_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ #ifdef BN_MP_DIV_SMALL @@ -24,7 +24,7 @@ int mp_div(mp_int * a, mp_int * b, mp_int * c, mp_int * d) int res, n, n2; /* is divisor zero ? */ - if (mp_iszero (b) == 1) { + if (mp_iszero (b) == MP_YES) { return MP_VAL; } @@ -40,9 +40,9 @@ int mp_div(mp_int * a, mp_int * b, mp_int * c, mp_int * d) } return res; } - + /* init our temps */ - if ((res = mp_init_multi(&ta, &tb, &tq, &q, NULL) != MP_OKAY)) { + if ((res = mp_init_multi(&ta, &tb, &tq, &q, NULL)) != MP_OKAY) { return res; } @@ -50,7 +50,7 @@ int mp_div(mp_int * a, mp_int * b, mp_int * c, mp_int * d) mp_set(&tq, 1); n = mp_count_bits(a) - mp_count_bits(b); if (((res = mp_abs(a, &ta)) != MP_OKAY) || - ((res = mp_abs(b, &tb)) != MP_OKAY) || + ((res = mp_abs(b, &tb)) != MP_OKAY) || ((res = mp_mul_2d(&tb, n, &tb)) != MP_OKAY) || ((res = mp_mul_2d(&tq, n, &tq)) != MP_OKAY)) { goto LBL_ERR; @@ -71,7 +71,7 @@ int mp_div(mp_int * a, mp_int * b, mp_int * c, mp_int * d) /* now q == quotient and ta == remainder */ n = a->sign; - n2 = (a->sign == b->sign ? MP_ZPOS : MP_NEG); + n2 = (a->sign == b->sign) ? MP_ZPOS : MP_NEG; if (c != NULL) { mp_exch(c, &q); c->sign = (mp_iszero(c) == MP_YES) ? MP_ZPOS : n2; @@ -87,17 +87,17 @@ LBL_ERR: #else -/* integer signed division. +/* integer signed division. * c*b + d == a [e.g. a/b, c=quotient, d=remainder] * HAC pp.598 Algorithm 14.20 * - * Note that the description in HAC is horribly - * incomplete. For example, it doesn't consider - * the case where digits are removed from 'x' in - * the inner loop. It also doesn't consider the + * Note that the description in HAC is horribly + * incomplete. For example, it doesn't consider + * the case where digits are removed from 'x' in + * the inner loop. It also doesn't consider the * case that y has fewer than three digits, etc.. * - * The overall algorithm is as described as + * The overall algorithm is as described as * 14.20 from HAC but fixed to treat these cases. */ int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) @@ -106,7 +106,7 @@ int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) int res, n, t, i, norm, neg; /* is divisor zero ? */ - if (mp_iszero (b) == 1) { + if (mp_iszero (b) == MP_YES) { return MP_VAL; } @@ -187,51 +187,52 @@ int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) continue; } - /* step 3.1 if xi == yt then set q{i-t-1} to b-1, + /* step 3.1 if xi == yt then set q{i-t-1} to b-1, * otherwise set q{i-t-1} to (xi*b + x{i-1})/yt */ if (x.dp[i] == y.dp[t]) { - q.dp[i - t - 1] = ((((mp_digit)1) << DIGIT_BIT) - 1); + q.dp[(i - t) - 1] = ((((mp_digit)1) << DIGIT_BIT) - 1); } else { mp_word tmp; tmp = ((mp_word) x.dp[i]) << ((mp_word) DIGIT_BIT); tmp |= ((mp_word) x.dp[i - 1]); tmp /= ((mp_word) y.dp[t]); - if (tmp > (mp_word) MP_MASK) + if (tmp > (mp_word) MP_MASK) { tmp = MP_MASK; - q.dp[i - t - 1] = (mp_digit) (tmp & (mp_word) (MP_MASK)); + } + q.dp[(i - t) - 1] = (mp_digit) (tmp & (mp_word) (MP_MASK)); } - /* while (q{i-t-1} * (yt * b + y{t-1})) > - xi * b**2 + xi-1 * b + xi-2 - - do q{i-t-1} -= 1; + /* while (q{i-t-1} * (yt * b + y{t-1})) > + xi * b**2 + xi-1 * b + xi-2 + + do q{i-t-1} -= 1; */ - q.dp[i - t - 1] = (q.dp[i - t - 1] + 1) & MP_MASK; + q.dp[(i - t) - 1] = (q.dp[(i - t) - 1] + 1) & MP_MASK; do { - q.dp[i - t - 1] = (q.dp[i - t - 1] - 1) & MP_MASK; + q.dp[(i - t) - 1] = (q.dp[(i - t) - 1] - 1) & MP_MASK; /* find left hand */ mp_zero (&t1); - t1.dp[0] = (t - 1 < 0) ? 0 : y.dp[t - 1]; + t1.dp[0] = ((t - 1) < 0) ? 0 : y.dp[t - 1]; t1.dp[1] = y.dp[t]; t1.used = 2; - if ((res = mp_mul_d (&t1, q.dp[i - t - 1], &t1)) != MP_OKAY) { + if ((res = mp_mul_d (&t1, q.dp[(i - t) - 1], &t1)) != MP_OKAY) { goto LBL_Y; } /* find right hand */ - t2.dp[0] = (i - 2 < 0) ? 0 : x.dp[i - 2]; - t2.dp[1] = (i - 1 < 0) ? 0 : x.dp[i - 1]; + t2.dp[0] = ((i - 2) < 0) ? 0 : x.dp[i - 2]; + t2.dp[1] = ((i - 1) < 0) ? 0 : x.dp[i - 1]; t2.dp[2] = x.dp[i]; t2.used = 3; } while (mp_cmp_mag(&t1, &t2) == MP_GT); /* step 3.3 x = x - q{i-t-1} * y * b**{i-t-1} */ - if ((res = mp_mul_d (&y, q.dp[i - t - 1], &t1)) != MP_OKAY) { + if ((res = mp_mul_d (&y, q.dp[(i - t) - 1], &t1)) != MP_OKAY) { goto LBL_Y; } - if ((res = mp_lshd (&t1, i - t - 1)) != MP_OKAY) { + if ((res = mp_lshd (&t1, (i - t) - 1)) != MP_OKAY) { goto LBL_Y; } @@ -244,23 +245,23 @@ int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) if ((res = mp_copy (&y, &t1)) != MP_OKAY) { goto LBL_Y; } - if ((res = mp_lshd (&t1, i - t - 1)) != MP_OKAY) { + if ((res = mp_lshd (&t1, (i - t) - 1)) != MP_OKAY) { goto LBL_Y; } if ((res = mp_add (&x, &t1, &x)) != MP_OKAY) { goto LBL_Y; } - q.dp[i - t - 1] = (q.dp[i - t - 1] - 1UL) & MP_MASK; + q.dp[(i - t) - 1] = (q.dp[(i - t) - 1] - 1UL) & MP_MASK; } } - /* now q is the quotient and x is the remainder - * [which we have to normalize] + /* now q is the quotient and x is the remainder + * [which we have to normalize] */ - + /* get sign before writing to c */ - x.sign = x.used == 0 ? MP_ZPOS : a->sign; + x.sign = (x.used == 0) ? MP_ZPOS : a->sign; if (c != NULL) { mp_clamp (&q); @@ -269,7 +270,9 @@ int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) } if (d != NULL) { - mp_div_2d (&x, norm, &x, NULL); + if ((res = mp_div_2d (&x, norm, &x, NULL)) != MP_OKAY) { + goto LBL_Y; + } mp_exch (&x, d); } @@ -288,5 +291,5 @@ LBL_Q:mp_clear (&q); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_div_2.c b/libtommath/bn_mp_div_2.c index 64ef823..d2a213f 100644 --- a/libtommath/bn_mp_div_2.c +++ b/libtommath/bn_mp_div_2.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_DIV_2_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* b = a/2 */ @@ -30,7 +30,7 @@ int mp_div_2(mp_int * a, mp_int * b) oldused = b->used; b->used = a->used; { - register mp_digit r, rr, *tmpa, *tmpb; + mp_digit r, rr, *tmpa, *tmpb; /* source alias */ tmpa = a->dp + b->used - 1; @@ -64,5 +64,5 @@ int mp_div_2(mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_div_2d.c b/libtommath/bn_mp_div_2d.c index 72936a4..5b9fb48 100644 --- a/libtommath/bn_mp_div_2d.c +++ b/libtommath/bn_mp_div_2d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_DIV_2D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* shift right by a certain bit count (store quotient in c, optional remainder in d) */ @@ -58,7 +58,7 @@ int mp_div_2d (mp_int * a, int b, mp_int * c, mp_int * d) /* shift any bit count < DIGIT_BIT */ D = (mp_digit) (b % DIGIT_BIT); if (D != 0) { - register mp_digit *tmpc, mask, shift; + mp_digit *tmpc, mask, shift; /* mask */ mask = (((mp_digit)1) << D) - 1; @@ -93,5 +93,5 @@ int mp_div_2d (mp_int * a, int b, mp_int * c, mp_int * d) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_div_3.c b/libtommath/bn_mp_div_3.c index 7f6869b..c2b76fb 100644 --- a/libtommath/bn_mp_div_3.c +++ b/libtommath/bn_mp_div_3.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_DIV_3_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* divide by three (based on routine from MPI and the GMP manual) */ @@ -75,5 +75,5 @@ mp_div_3 (mp_int * a, mp_int *c, mp_digit * d) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_div_d.c b/libtommath/bn_mp_div_d.c index ca34e87..4df1d36 100644 --- a/libtommath/bn_mp_div_d.c +++ b/libtommath/bn_mp_div_d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_DIV_D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ static int s_is_power_of_two(mp_digit b, int *p) @@ -20,7 +20,7 @@ static int s_is_power_of_two(mp_digit b, int *p) int x; /* fast return if no power of two */ - if ((b==0) || (b & (b-1))) { + if ((b == 0) || ((b & (b-1)) != 0)) { return 0; } @@ -47,7 +47,7 @@ int mp_div_d (mp_int * a, mp_digit b, mp_int * c, mp_digit * d) } /* quick outs */ - if (b == 1 || mp_iszero(a) == 1) { + if ((b == 1) || (mp_iszero(a) == MP_YES)) { if (d != NULL) { *d = 0; } @@ -111,5 +111,5 @@ int mp_div_d (mp_int * a, mp_digit b, mp_int * c, mp_digit * d) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_dr_is_modulus.c b/libtommath/bn_mp_dr_is_modulus.c index 52b4fdf..599d929 100644 --- a/libtommath/bn_mp_dr_is_modulus.c +++ b/libtommath/bn_mp_dr_is_modulus.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_DR_IS_MODULUS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* determines if a number is a valid DR modulus */ @@ -39,5 +39,5 @@ int mp_dr_is_modulus(mp_int *a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_dr_reduce.c b/libtommath/bn_mp_dr_reduce.c index 47f0c60..2273c79 100644 --- a/libtommath/bn_mp_dr_reduce.c +++ b/libtommath/bn_mp_dr_reduce.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_DR_REDUCE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* reduce "x" in place modulo "n" using the Diminished Radix algorithm. @@ -40,7 +40,7 @@ mp_dr_reduce (mp_int * x, mp_int * n, mp_digit k) m = n->used; /* ensure that "x" has at least 2m digits */ - if (x->alloc < m + m) { + if (x->alloc < (m + m)) { if ((err = mp_grow (x, m + m)) != MP_OKAY) { return err; } @@ -62,7 +62,7 @@ top: /* compute (x mod B**m) + k * [x/B**m] inline and inplace */ for (i = 0; i < m; i++) { - r = ((mp_word)*tmpx2++) * ((mp_word)k) + *tmpx1 + mu; + r = (((mp_word)*tmpx2++) * (mp_word)k) + *tmpx1 + mu; *tmpx1++ = (mp_digit)(r & MP_MASK); mu = (mp_digit)(r >> ((mp_word)DIGIT_BIT)); } @@ -82,7 +82,9 @@ top: * Each successive "recursion" makes the input smaller and smaller. */ if (mp_cmp_mag (x, n) != MP_LT) { - s_mp_sub(x, n, x); + if ((err = s_mp_sub(x, n, x)) != MP_OKAY) { + return err; + } goto top; } return MP_OKAY; @@ -90,5 +92,5 @@ top: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_dr_setup.c b/libtommath/bn_mp_dr_setup.c index 99ee67d..1bccb2b 100644 --- a/libtommath/bn_mp_dr_setup.c +++ b/libtommath/bn_mp_dr_setup.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_DR_SETUP_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* determines the setup value */ @@ -28,5 +28,5 @@ void mp_dr_setup(mp_int *a, mp_digit *d) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_exch.c b/libtommath/bn_mp_exch.c index dd3098e..634193b 100644 --- a/libtommath/bn_mp_exch.c +++ b/libtommath/bn_mp_exch.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_EXCH_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* swap the elements of two integers, for cases where you can't simply swap the @@ -30,5 +30,5 @@ mp_exch (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_export.c b/libtommath/bn_mp_export.c new file mode 100644 index 0000000..ac4c2f9 --- /dev/null +++ b/libtommath/bn_mp_export.c @@ -0,0 +1,88 @@ +#include +#ifdef BN_MP_EXPORT_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org + */ + +/* based on gmp's mpz_export. + * see http://gmplib.org/manual/Integer-Import-and-Export.html + */ +int mp_export(void* rop, size_t* countp, int order, size_t size, + int endian, size_t nails, mp_int* op) { + int result; + size_t odd_nails, nail_bytes, i, j, bits, count; + unsigned char odd_nail_mask; + + mp_int t; + + if ((result = mp_init_copy(&t, op)) != MP_OKAY) { + return result; + } + + if (endian == 0) { + union { + unsigned int i; + char c[4]; + } lint; + lint.i = 0x01020304; + + endian = (lint.c[0] == 4) ? -1 : 1; + } + + odd_nails = (nails % 8); + odd_nail_mask = 0xff; + for (i = 0; i < odd_nails; ++i) { + odd_nail_mask ^= (1 << (7 - i)); + } + nail_bytes = nails / 8; + + bits = mp_count_bits(&t); + count = (bits / ((size * 8) - nails)) + (((bits % ((size * 8) - nails)) != 0) ? 1 : 0); + + for (i = 0; i < count; ++i) { + for (j = 0; j < size; ++j) { + unsigned char* byte = ( + (unsigned char*)rop + + (((order == -1) ? i : ((count - 1) - i)) * size) + + ((endian == -1) ? j : ((size - 1) - j)) + ); + + if (j >= (size - nail_bytes)) { + *byte = 0; + continue; + } + + *byte = (unsigned char)((j == ((size - nail_bytes) - 1)) ? (t.dp[0] & odd_nail_mask) : (t.dp[0] & 0xFF)); + + if ((result = mp_div_2d(&t, ((j == ((size - nail_bytes) - 1)) ? (8 - odd_nails) : 8), &t, NULL)) != MP_OKAY) { + mp_clear(&t); + return result; + } + } + } + + mp_clear(&t); + + if (countp != NULL) { + *countp = count; + } + + return MP_OKAY; +} + +#endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_expt_d.c b/libtommath/bn_mp_expt_d.c index f9357cc..61c5a1d 100644 --- a/libtommath/bn_mp_expt_d.c +++ b/libtommath/bn_mp_expt_d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_EXPT_D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,46 +12,17 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ -/* calculate c = a**b using a square-multiply algorithm */ +/* wrapper function for mp_expt_d_ex() */ int mp_expt_d (mp_int * a, mp_digit b, mp_int * c) { - int res, x; - mp_int g; - - if ((res = mp_init_copy (&g, a)) != MP_OKAY) { - return res; - } - - /* set initial result */ - mp_set (c, 1); - - for (x = 0; x < (int) DIGIT_BIT; x++) { - /* square */ - if ((res = mp_sqr (c, c)) != MP_OKAY) { - mp_clear (&g); - return res; - } - - /* if the bit is set multiply */ - if ((b & (mp_digit) (((mp_digit)1) << (DIGIT_BIT - 1))) != 0) { - if ((res = mp_mul (c, &g, c)) != MP_OKAY) { - mp_clear (&g); - return res; - } - } - - /* shift to next bit */ - b <<= 1; - } - - mp_clear (&g); - return MP_OKAY; + return mp_expt_d_ex(a, b, c, 0); } + #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_expt_d_ex.c b/libtommath/bn_mp_expt_d_ex.c new file mode 100644 index 0000000..649d224 --- /dev/null +++ b/libtommath/bn_mp_expt_d_ex.c @@ -0,0 +1,83 @@ +#include +#ifdef BN_MP_EXPT_D_EX_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org + */ + +/* calculate c = a**b using a square-multiply algorithm */ +int mp_expt_d_ex (mp_int * a, mp_digit b, mp_int * c, int fast) +{ + int res; + unsigned int x; + + mp_int g; + + if ((res = mp_init_copy (&g, a)) != MP_OKAY) { + return res; + } + + /* set initial result */ + mp_set (c, 1); + + if (fast != 0) { + while (b > 0) { + /* if the bit is set multiply */ + if ((b & 1) != 0) { + if ((res = mp_mul (c, &g, c)) != MP_OKAY) { + mp_clear (&g); + return res; + } + } + + /* square */ + if (b > 1) { + if ((res = mp_sqr (&g, &g)) != MP_OKAY) { + mp_clear (&g); + return res; + } + } + + /* shift to next bit */ + b >>= 1; + } + } + else { + for (x = 0; x < DIGIT_BIT; x++) { + /* square */ + if ((res = mp_sqr (c, c)) != MP_OKAY) { + mp_clear (&g); + return res; + } + + /* if the bit is set multiply */ + if ((b & (mp_digit) (((mp_digit)1) << (DIGIT_BIT - 1))) != 0) { + if ((res = mp_mul (c, &g, c)) != MP_OKAY) { + mp_clear (&g); + return res; + } + } + + /* shift to next bit */ + b <<= 1; + } + } /* if ... else */ + + mp_clear (&g); + return MP_OKAY; +} +#endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_exptmod.c b/libtommath/bn_mp_exptmod.c index 8fbce19..0973e44 100644 --- a/libtommath/bn_mp_exptmod.c +++ b/libtommath/bn_mp_exptmod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_EXPTMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ @@ -89,7 +89,7 @@ int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) /* if the modulus is odd or dr != 0 use the montgomery method */ #ifdef BN_MP_EXPTMOD_FAST_C - if (mp_isodd (P) == 1 || dr != 0) { + if ((mp_isodd (P) == MP_YES) || (dr != 0)) { return mp_exptmod_fast (G, X, P, Y, dr); } else { #endif @@ -108,5 +108,5 @@ int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_exptmod_fast.c b/libtommath/bn_mp_exptmod_fast.c index 60c7e2b..8d280bd 100644 --- a/libtommath/bn_mp_exptmod_fast.c +++ b/libtommath/bn_mp_exptmod_fast.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_EXPTMOD_FAST_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* computes Y == G**X mod P, HAC pp.616, Algorithm 14.85 @@ -96,8 +96,8 @@ int mp_exptmod_fast (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode /* automatically pick the comba one if available (saves quite a few calls/ifs) */ #ifdef BN_FAST_MP_MONTGOMERY_REDUCE_C - if (((P->used * 2 + 1) < MP_WARRAY) && - P->used < (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { + if ((((P->used * 2) + 1) < MP_WARRAY) && + (P->used < (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) { redux = fast_mp_montgomery_reduce; } else #endif @@ -219,12 +219,12 @@ int mp_exptmod_fast (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode * in the exponent. Technically this opt is not required but it * does lower the # of trivial squaring/reductions used */ - if (mode == 0 && y == 0) { + if ((mode == 0) && (y == 0)) { continue; } /* if the bit is zero and mode == 1 then we square */ - if (mode == 1 && y == 0) { + if ((mode == 1) && (y == 0)) { if ((err = mp_sqr (&res, &res)) != MP_OKAY) { goto LBL_RES; } @@ -266,7 +266,7 @@ int mp_exptmod_fast (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode } /* if bits remain then square/multiply */ - if (mode == 2 && bitcpy > 0) { + if ((mode == 2) && (bitcpy > 0)) { /* square then multiply if the bit is set */ for (x = 0; x < bitcpy; x++) { if ((err = mp_sqr (&res, &res)) != MP_OKAY) { @@ -317,5 +317,5 @@ LBL_M: /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_exteuclid.c b/libtommath/bn_mp_exteuclid.c index c65928d..fbbd92c 100644 --- a/libtommath/bn_mp_exteuclid.c +++ b/libtommath/bn_mp_exteuclid.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_EXTEUCLID_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,10 +12,10 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ -/* Extended euclidean algorithm of (a, b) produces +/* Extended euclidean algorithm of (a, b) produces a*u1 + b*u2 = u3 */ int mp_exteuclid(mp_int *a, mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3) @@ -61,9 +61,9 @@ int mp_exteuclid(mp_int *a, mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3) /* make sure U3 >= 0 */ if (u3.sign == MP_NEG) { - mp_neg(&u1, &u1); - mp_neg(&u2, &u2); - mp_neg(&u3, &u3); + if ((err = mp_neg(&u1, &u1)) != MP_OKAY) { goto _ERR; } + if ((err = mp_neg(&u2, &u2)) != MP_OKAY) { goto _ERR; } + if ((err = mp_neg(&u3, &u3)) != MP_OKAY) { goto _ERR; } } /* copy result out */ @@ -78,5 +78,5 @@ _ERR: mp_clear_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_fread.c b/libtommath/bn_mp_fread.c index a2e51a1..a4fa8c9 100644 --- a/libtommath/bn_mp_fread.c +++ b/libtommath/bn_mp_fread.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_FREAD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* read a bigint from a file stream in ASCII */ @@ -63,5 +63,5 @@ int mp_fread(mp_int *a, int radix, FILE *stream) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_fwrite.c b/libtommath/bn_mp_fwrite.c index b3fd834..90f1fc5 100644 --- a/libtommath/bn_mp_fwrite.c +++ b/libtommath/bn_mp_fwrite.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_FWRITE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ int mp_fwrite(mp_int *a, int radix, FILE *stream) @@ -48,5 +48,5 @@ int mp_fwrite(mp_int *a, int radix, FILE *stream) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_gcd.c b/libtommath/bn_mp_gcd.c index b45cfed..16acfd9 100644 --- a/libtommath/bn_mp_gcd.c +++ b/libtommath/bn_mp_gcd.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_GCD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* Greatest Common Divisor using the binary method */ @@ -70,7 +70,7 @@ int mp_gcd (mp_int * a, mp_int * b, mp_int * c) } } - while (mp_iszero(&v) == 0) { + while (mp_iszero(&v) == MP_NO) { /* make sure v is the largest */ if (mp_cmp_mag(&u, &v) == MP_GT) { /* swap u and v to make sure v is >= u */ @@ -101,5 +101,5 @@ LBL_U:mp_clear (&v); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_get_int.c b/libtommath/bn_mp_get_int.c index 11baa0e..99fb850 100644 --- a/libtommath/bn_mp_get_int.c +++ b/libtommath/bn_mp_get_int.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_GET_INT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,25 +12,25 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* get the lower 32-bits of an mp_int */ -unsigned long mp_get_int(mp_int * a) +unsigned long mp_get_int(mp_int * a) { int i; - unsigned long res; + mp_min_u32 res; if (a->used == 0) { return 0; } /* get number of digits of the lsb we have to read */ - i = MIN(a->used,(int)((sizeof(unsigned long)*CHAR_BIT+DIGIT_BIT-1)/DIGIT_BIT))-1; + i = MIN(a->used,(int)(((sizeof(unsigned long) * CHAR_BIT) + DIGIT_BIT - 1) / DIGIT_BIT)) - 1; /* get most significant digit of result */ res = DIGIT(a,i); - + while (--i >= 0) { res = (res << DIGIT_BIT) | DIGIT(a,i); } @@ -41,5 +41,5 @@ unsigned long mp_get_int(mp_int * a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_get_long.c b/libtommath/bn_mp_get_long.c new file mode 100644 index 0000000..7c3d0fe --- /dev/null +++ b/libtommath/bn_mp_get_long.c @@ -0,0 +1,41 @@ +#include +#ifdef BN_MP_GET_LONG_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org + */ + +/* get the lower unsigned long of an mp_int, platform dependent */ +unsigned long mp_get_long(mp_int * a) +{ + int i; + unsigned long res; + + if (a->used == 0) { + return 0; + } + + /* get number of digits of the lsb we have to read */ + i = MIN(a->used,(int)(((sizeof(unsigned long) * CHAR_BIT) + DIGIT_BIT - 1) / DIGIT_BIT)) - 1; + + /* get most significant digit of result */ + res = DIGIT(a,i); + +#if (ULONG_MAX != 0xffffffffuL) || (DIGIT_BIT < 32) + while (--i >= 0) { + res = (res << DIGIT_BIT) | DIGIT(a,i); + } +#endif + return res; +} +#endif diff --git a/libtommath/bn_mp_get_long_long.c b/libtommath/bn_mp_get_long_long.c new file mode 100644 index 0000000..4b959e6 --- /dev/null +++ b/libtommath/bn_mp_get_long_long.c @@ -0,0 +1,41 @@ +#include +#ifdef BN_MP_GET_LONG_LONG_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org + */ + +/* get the lower unsigned long long of an mp_int, platform dependent */ +unsigned long long mp_get_long_long (mp_int * a) +{ + int i; + unsigned long long res; + + if (a->used == 0) { + return 0; + } + + /* get number of digits of the lsb we have to read */ + i = MIN(a->used,(int)(((sizeof(unsigned long long) * CHAR_BIT) + DIGIT_BIT - 1) / DIGIT_BIT)) - 1; + + /* get most significant digit of result */ + res = DIGIT(a,i); + +#if DIGIT_BIT < 64 + while (--i >= 0) { + res = (res << DIGIT_BIT) | DIGIT(a,i); + } +#endif + return res; +} +#endif diff --git a/libtommath/bn_mp_grow.c b/libtommath/bn_mp_grow.c index f1c1cab..cbdcfed 100644 --- a/libtommath/bn_mp_grow.c +++ b/libtommath/bn_mp_grow.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_GROW_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* grow as required */ @@ -53,5 +53,5 @@ int mp_grow (mp_int * a, int size) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_import.c b/libtommath/bn_mp_import.c new file mode 100644 index 0000000..dd4b8e6 --- /dev/null +++ b/libtommath/bn_mp_import.c @@ -0,0 +1,73 @@ +#include +#ifdef BN_MP_IMPORT_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org + */ + +/* based on gmp's mpz_import. + * see http://gmplib.org/manual/Integer-Import-and-Export.html + */ +int mp_import(mp_int* rop, size_t count, int order, size_t size, + int endian, size_t nails, const void* op) { + int result; + size_t odd_nails, nail_bytes, i, j; + unsigned char odd_nail_mask; + + mp_zero(rop); + + if (endian == 0) { + union { + unsigned int i; + char c[4]; + } lint; + lint.i = 0x01020304; + + endian = (lint.c[0] == 4) ? -1 : 1; + } + + odd_nails = (nails % 8); + odd_nail_mask = 0xff; + for (i = 0; i < odd_nails; ++i) { + odd_nail_mask ^= (1 << (7 - i)); + } + nail_bytes = nails / 8; + + for (i = 0; i < count; ++i) { + for (j = 0; j < (size - nail_bytes); ++j) { + unsigned char byte = *( + (unsigned char*)op + + (((order == 1) ? i : ((count - 1) - i)) * size) + + ((endian == 1) ? (j + nail_bytes) : (((size - 1) - j) - nail_bytes)) + ); + + if ( + (result = mp_mul_2d(rop, ((j == 0) ? (8 - odd_nails) : 8), rop)) != MP_OKAY) { + return result; + } + + rop->dp[0] |= (j == 0) ? (byte & odd_nail_mask) : byte; + rop->used += 1; + } + } + + mp_clamp(rop); + + return MP_OKAY; +} + +#endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_init.c b/libtommath/bn_mp_init.c index 79cca3c..7a57730 100644 --- a/libtommath/bn_mp_init.c +++ b/libtommath/bn_mp_init.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_INIT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* init a new mp_int */ @@ -42,5 +42,5 @@ int mp_init (mp_int * a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_init_copy.c b/libtommath/bn_mp_init_copy.c index 8ce0ef9..9e15f36 100644 --- a/libtommath/bn_mp_init_copy.c +++ b/libtommath/bn_mp_init_copy.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_INIT_COPY_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* creates "a" then copies b into it */ @@ -20,7 +20,7 @@ int mp_init_copy (mp_int * a, mp_int * b) { int res; - if ((res = mp_init (a)) != MP_OKAY) { + if ((res = mp_init_size (a, b->used)) != MP_OKAY) { return res; } return mp_copy (b, a); @@ -28,5 +28,5 @@ int mp_init_copy (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_init_multi.c b/libtommath/bn_mp_init_multi.c index a40ea8e..52220a3 100644 --- a/libtommath/bn_mp_init_multi.c +++ b/libtommath/bn_mp_init_multi.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_INIT_MULTI_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ #include @@ -37,7 +37,7 @@ int mp_init_multi(mp_int *mp, ...) /* now start cleaning up */ cur_arg = mp; va_start(clean_args, mp); - while (n--) { + while (n-- != 0) { mp_clear(cur_arg); cur_arg = va_arg(clean_args, mp_int*); } @@ -55,5 +55,5 @@ int mp_init_multi(mp_int *mp, ...) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_init_set.c b/libtommath/bn_mp_init_set.c index f9b08e9..c337e50 100644 --- a/libtommath/bn_mp_init_set.c +++ b/libtommath/bn_mp_init_set.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_INIT_SET_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* initialize and set a digit */ @@ -28,5 +28,5 @@ int mp_init_set (mp_int * a, mp_digit b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_init_set_int.c b/libtommath/bn_mp_init_set_int.c index 9473c3f..c88f14e 100644 --- a/libtommath/bn_mp_init_set_int.c +++ b/libtommath/bn_mp_init_set_int.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_INIT_SET_INT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* initialize and set a digit */ @@ -27,5 +27,5 @@ int mp_init_set_int (mp_int * a, unsigned long b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_init_size.c b/libtommath/bn_mp_init_size.c index 69dd49c..e1d1b51 100644 --- a/libtommath/bn_mp_init_size.c +++ b/libtommath/bn_mp_init_size.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_INIT_SIZE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* init an mp_init for a given size */ @@ -44,5 +44,5 @@ int mp_init_size (mp_int * a, int size) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_invmod.c b/libtommath/bn_mp_invmod.c index f4bdc17..44951e5 100644 --- a/libtommath/bn_mp_invmod.c +++ b/libtommath/bn_mp_invmod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_INVMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,32 +12,32 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* hac 14.61, pp608 */ int mp_invmod (mp_int * a, mp_int * b, mp_int * c) { /* b cannot be negative */ - if (b->sign == MP_NEG || mp_iszero(b) == 1) { + if ((b->sign == MP_NEG) || (mp_iszero(b) == MP_YES)) { return MP_VAL; } #ifdef BN_FAST_MP_INVMOD_C /* if the modulus is odd we can use a faster routine instead */ - if (mp_isodd (b) == 1) { + if (mp_isodd (b) == MP_YES) { return fast_mp_invmod (a, b, c); } #endif #ifdef BN_MP_INVMOD_SLOW_C return mp_invmod_slow(a, b, c); -#endif - +#else return MP_VAL; +#endif } #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_invmod_slow.c b/libtommath/bn_mp_invmod_slow.c index 2430f02..a21f947 100644 --- a/libtommath/bn_mp_invmod_slow.c +++ b/libtommath/bn_mp_invmod_slow.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_INVMOD_SLOW_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* hac 14.61, pp608 */ @@ -22,7 +22,7 @@ int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c) int res; /* b cannot be negative */ - if (b->sign == MP_NEG || mp_iszero(b) == 1) { + if ((b->sign == MP_NEG) || (mp_iszero(b) == MP_YES)) { return MP_VAL; } @@ -41,7 +41,7 @@ int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c) } /* 2. [modified] if x,y are both even then return an error! */ - if (mp_iseven (&x) == 1 && mp_iseven (&y) == 1) { + if ((mp_iseven (&x) == MP_YES) && (mp_iseven (&y) == MP_YES)) { res = MP_VAL; goto LBL_ERR; } @@ -58,13 +58,13 @@ int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c) top: /* 4. while u is even do */ - while (mp_iseven (&u) == 1) { + while (mp_iseven (&u) == MP_YES) { /* 4.1 u = u/2 */ if ((res = mp_div_2 (&u, &u)) != MP_OKAY) { goto LBL_ERR; } /* 4.2 if A or B is odd then */ - if (mp_isodd (&A) == 1 || mp_isodd (&B) == 1) { + if ((mp_isodd (&A) == MP_YES) || (mp_isodd (&B) == MP_YES)) { /* A = (A+y)/2, B = (B-x)/2 */ if ((res = mp_add (&A, &y, &A)) != MP_OKAY) { goto LBL_ERR; @@ -83,13 +83,13 @@ top: } /* 5. while v is even do */ - while (mp_iseven (&v) == 1) { + while (mp_iseven (&v) == MP_YES) { /* 5.1 v = v/2 */ if ((res = mp_div_2 (&v, &v)) != MP_OKAY) { goto LBL_ERR; } /* 5.2 if C or D is odd then */ - if (mp_isodd (&C) == 1 || mp_isodd (&D) == 1) { + if ((mp_isodd (&C) == MP_YES) || (mp_isodd (&D) == MP_YES)) { /* C = (C+y)/2, D = (D-x)/2 */ if ((res = mp_add (&C, &y, &C)) != MP_OKAY) { goto LBL_ERR; @@ -137,7 +137,7 @@ top: } /* if not zero goto step 4 */ - if (mp_iszero (&u) == 0) + if (mp_iszero (&u) == MP_NO) goto top; /* now a = C, b = D, gcd == g*v */ @@ -171,5 +171,5 @@ LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &A, &B, &C, &D, NULL); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_is_square.c b/libtommath/bn_mp_is_square.c index 12b9ec7..9f065ef 100644 --- a/libtommath/bn_mp_is_square.c +++ b/libtommath/bn_mp_is_square.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_IS_SQUARE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* Check if remainders are possible squares - fast exclude non-squares */ @@ -82,13 +82,13 @@ int mp_is_square(mp_int *arg,int *ret) * free "t" so the easiest way is to goto ERR. We know that res * is already equal to MP_OKAY from the mp_mod call */ - if ( (1L<<(r%11)) & 0x5C4L ) goto ERR; - if ( (1L<<(r%13)) & 0x9E4L ) goto ERR; - if ( (1L<<(r%17)) & 0x5CE8L ) goto ERR; - if ( (1L<<(r%19)) & 0x4F50CL ) goto ERR; - if ( (1L<<(r%23)) & 0x7ACCA0L ) goto ERR; - if ( (1L<<(r%29)) & 0xC2EDD0CL ) goto ERR; - if ( (1L<<(r%31)) & 0x6DE2B848L ) goto ERR; + if (((1L<<(r%11)) & 0x5C4L) != 0L) goto ERR; + if (((1L<<(r%13)) & 0x9E4L) != 0L) goto ERR; + if (((1L<<(r%17)) & 0x5CE8L) != 0L) goto ERR; + if (((1L<<(r%19)) & 0x4F50CL) != 0L) goto ERR; + if (((1L<<(r%23)) & 0x7ACCA0L) != 0L) goto ERR; + if (((1L<<(r%29)) & 0xC2EDD0CL) != 0L) goto ERR; + if (((1L<<(r%31)) & 0x6DE2B848L) != 0L) goto ERR; /* Final check - is sqr(sqrt(arg)) == arg ? */ if ((res = mp_sqrt(arg,&t)) != MP_OKAY) { @@ -105,5 +105,5 @@ ERR:mp_clear(&t); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_jacobi.c b/libtommath/bn_mp_jacobi.c index 07a9d65..3c114e3 100644 --- a/libtommath/bn_mp_jacobi.c +++ b/libtommath/bn_mp_jacobi.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_JACOBI_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,27 +12,39 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* computes the jacobi c = (a | n) (or Legendre if n is prime) * HAC pp. 73 Algorithm 2.149 + * HAC is wrong here, as the special case of (0 | 1) is not + * handled correctly. */ -int mp_jacobi (mp_int * a, mp_int * p, int *c) +int mp_jacobi (mp_int * a, mp_int * n, int *c) { mp_int a1, p1; int k, s, r, res; mp_digit residue; - /* if p <= 0 return MP_VAL */ - if (mp_cmp_d(p, 0) != MP_GT) { + /* if a < 0 return MP_VAL */ + if (mp_isneg(a) == MP_YES) { return MP_VAL; } - /* step 1. if a == 0, return 0 */ - if (mp_iszero (a) == 1) { - *c = 0; - return MP_OKAY; + /* if n <= 0 return MP_VAL */ + if (mp_cmp_d(n, 0) != MP_GT) { + return MP_VAL; + } + + /* step 1. handle case of a == 0 */ + if (mp_iszero (a) == MP_YES) { + /* special case of a == 0 and n == 1 */ + if (mp_cmp_d (n, 1) == MP_EQ) { + *c = 1; + } else { + *c = 0; + } + return MP_OKAY; } /* step 2. if a == 1, return 1 */ @@ -64,17 +76,17 @@ int mp_jacobi (mp_int * a, mp_int * p, int *c) s = 1; } else { /* else set s=1 if p = 1/7 (mod 8) or s=-1 if p = 3/5 (mod 8) */ - residue = p->dp[0] & 7; + residue = n->dp[0] & 7; - if (residue == 1 || residue == 7) { + if ((residue == 1) || (residue == 7)) { s = 1; - } else if (residue == 3 || residue == 5) { + } else if ((residue == 3) || (residue == 5)) { s = -1; } } /* step 5. if p == 3 (mod 4) *and* a1 == 3 (mod 4) then s = -s */ - if ( ((p->dp[0] & 3) == 3) && ((a1.dp[0] & 3) == 3)) { + if ( ((n->dp[0] & 3) == 3) && ((a1.dp[0] & 3) == 3)) { s = -s; } @@ -83,7 +95,7 @@ int mp_jacobi (mp_int * a, mp_int * p, int *c) *c = s; } else { /* n1 = n mod a1 */ - if ((res = mp_mod (p, &a1, &p1)) != MP_OKAY) { + if ((res = mp_mod (n, &a1, &p1)) != MP_OKAY) { goto LBL_P1; } if ((res = mp_jacobi (&p1, &a1, &r)) != MP_OKAY) { @@ -101,5 +113,5 @@ LBL_A1:mp_clear (&a1); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_karatsuba_mul.c b/libtommath/bn_mp_karatsuba_mul.c index 62e885c..d65e37e 100644 --- a/libtommath/bn_mp_karatsuba_mul.c +++ b/libtommath/bn_mp_karatsuba_mul.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_KARATSUBA_MUL_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* c = |a| * |b| using Karatsuba Multiplication using @@ -82,8 +82,8 @@ int mp_karatsuba_mul (mp_int * a, mp_int * b, mp_int * c) y1.used = b->used - B; { - register int x; - register mp_digit *tmpa, *tmpb, *tmpx, *tmpy; + int x; + mp_digit *tmpa, *tmpb, *tmpx, *tmpy; /* we copy the digits directly instead of using higher level functions * since we also need to shift the digits @@ -163,5 +163,5 @@ ERR: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_karatsuba_sqr.c b/libtommath/bn_mp_karatsuba_sqr.c index ce5c753..739840d 100644 --- a/libtommath/bn_mp_karatsuba_sqr.c +++ b/libtommath/bn_mp_karatsuba_sqr.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_KARATSUBA_SQR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* Karatsuba squaring, computes b = a*a using three @@ -52,8 +52,8 @@ int mp_karatsuba_sqr (mp_int * a, mp_int * b) goto X0X0; { - register int x; - register mp_digit *dst, *src; + int x; + mp_digit *dst, *src; src = a->dp; @@ -117,5 +117,5 @@ ERR: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_lcm.c b/libtommath/bn_mp_lcm.c index a4115da..3bff571 100644 --- a/libtommath/bn_mp_lcm.c +++ b/libtommath/bn_mp_lcm.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_LCM_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* computes least common multiple as |a*b|/(a, b) */ @@ -56,5 +56,5 @@ LBL_T: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_lshd.c b/libtommath/bn_mp_lshd.c index 87c216b..f6f800f 100644 --- a/libtommath/bn_mp_lshd.c +++ b/libtommath/bn_mp_lshd.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_LSHD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* shift left a certain amount of digits */ @@ -26,14 +26,14 @@ int mp_lshd (mp_int * a, int b) } /* grow to fit the new digits */ - if (a->alloc < a->used + b) { + if (a->alloc < (a->used + b)) { if ((res = mp_grow (a, a->used + b)) != MP_OKAY) { return res; } } { - register mp_digit *top, *bottom; + mp_digit *top, *bottom; /* increment the used by the shift amount then copy upwards */ a->used += b; @@ -42,7 +42,7 @@ int mp_lshd (mp_int * a, int b) top = a->dp + a->used - 1; /* base */ - bottom = a->dp + a->used - 1 - b; + bottom = (a->dp + a->used - 1) - b; /* much like mp_rshd this is implemented using a sliding window * except the window goes the otherway around. Copying from @@ -63,5 +63,5 @@ int mp_lshd (mp_int * a, int b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_mod.c b/libtommath/bn_mp_mod.c index 6828328..b67467d 100644 --- a/libtommath/bn_mp_mod.c +++ b/libtommath/bn_mp_mod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,10 +12,10 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ -/* c = a mod b, 0 <= c < b */ +/* c = a mod b, 0 <= c < b if b > 0, b < c <= 0 if b < 0 */ int mp_mod (mp_int * a, mp_int * b, mp_int * c) { @@ -31,11 +31,11 @@ mp_mod (mp_int * a, mp_int * b, mp_int * c) return res; } - if (t.sign != b->sign) { - res = mp_add (b, &t, c); - } else { + if ((mp_iszero(&t) != MP_NO) || (t.sign == b->sign)) { res = MP_OKAY; mp_exch (&t, c); + } else { + res = mp_add (b, &t, c); } mp_clear (&t); @@ -44,5 +44,5 @@ mp_mod (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_mod_2d.c b/libtommath/bn_mp_mod_2d.c index 77f13c3..926f810 100644 --- a/libtommath/bn_mp_mod_2d.c +++ b/libtommath/bn_mp_mod_2d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MOD_2D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* calc a value mod 2**b */ @@ -39,7 +39,7 @@ mp_mod_2d (mp_int * a, int b, mp_int * c) } /* zero digits above the last digit of the modulus */ - for (x = (b / DIGIT_BIT) + ((b % DIGIT_BIT) == 0 ? 0 : 1); x < c->used; x++) { + for (x = (b / DIGIT_BIT) + (((b % DIGIT_BIT) == 0) ? 0 : 1); x < c->used; x++) { c->dp[x] = 0; } /* clear the digit that is not completely outside/inside the modulus */ @@ -51,5 +51,5 @@ mp_mod_2d (mp_int * a, int b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_mod_d.c b/libtommath/bn_mp_mod_d.c index 4ad3d90..d8722f0 100644 --- a/libtommath/bn_mp_mod_d.c +++ b/libtommath/bn_mp_mod_d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MOD_D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ int @@ -23,5 +23,5 @@ mp_mod_d (mp_int * a, mp_digit b, mp_digit * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_montgomery_calc_normalization.c b/libtommath/bn_mp_montgomery_calc_normalization.c index 4825ab5..ea87cbd 100644 --- a/libtommath/bn_mp_montgomery_calc_normalization.c +++ b/libtommath/bn_mp_montgomery_calc_normalization.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MONTGOMERY_CALC_NORMALIZATION_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* @@ -29,7 +29,7 @@ int mp_montgomery_calc_normalization (mp_int * a, mp_int * b) bits = mp_count_bits (b) % DIGIT_BIT; if (b->used > 1) { - if ((res = mp_2expt (a, (b->used - 1) * DIGIT_BIT + bits - 1)) != MP_OKAY) { + if ((res = mp_2expt (a, ((b->used - 1) * DIGIT_BIT) + bits - 1)) != MP_OKAY) { return res; } } else { @@ -55,5 +55,5 @@ int mp_montgomery_calc_normalization (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_montgomery_reduce.c b/libtommath/bn_mp_montgomery_reduce.c index 3c73268..af2cc58 100644 --- a/libtommath/bn_mp_montgomery_reduce.c +++ b/libtommath/bn_mp_montgomery_reduce.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MONTGOMERY_REDUCE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* computes xR**-1 == x (mod N) via Montgomery Reduction */ @@ -28,10 +28,10 @@ mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) * than the available columns [255 per default] since carries * are fixed up in the inner loop. */ - digs = n->used * 2 + 1; + digs = (n->used * 2) + 1; if ((digs < MP_WARRAY) && - n->used < - (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { + (n->used < + (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) { return fast_mp_montgomery_reduce (x, n, rho); } @@ -52,13 +52,13 @@ mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) * following inner loop to reduce the * input one digit at a time */ - mu = (mp_digit) (((mp_word)x->dp[ix]) * ((mp_word)rho) & MP_MASK); + mu = (mp_digit) (((mp_word)x->dp[ix] * (mp_word)rho) & MP_MASK); /* a = a + mu * m * b**i */ { - register int iy; - register mp_digit *tmpn, *tmpx, u; - register mp_word r; + int iy; + mp_digit *tmpn, *tmpx, u; + mp_word r; /* alias for digits of the modulus */ tmpn = n->dp; @@ -72,8 +72,8 @@ mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) /* Multiply and add in place */ for (iy = 0; iy < n->used; iy++) { /* compute product and sum */ - r = ((mp_word)mu) * ((mp_word)*tmpn++) + - ((mp_word) u) + ((mp_word) * tmpx); + r = ((mp_word)mu * (mp_word)*tmpn++) + + (mp_word) u + (mp_word) *tmpx; /* get carry */ u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); @@ -85,7 +85,7 @@ mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) /* propagate carries upwards as required*/ - while (u) { + while (u != 0) { *tmpx += u; u = *tmpx >> DIGIT_BIT; *tmpx++ &= MP_MASK; @@ -114,5 +114,5 @@ mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_montgomery_setup.c b/libtommath/bn_mp_montgomery_setup.c index 0de27bb..264a2bd 100644 --- a/libtommath/bn_mp_montgomery_setup.c +++ b/libtommath/bn_mp_montgomery_setup.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MONTGOMERY_SETUP_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* setups the montgomery reduction stuff */ @@ -36,24 +36,24 @@ mp_montgomery_setup (mp_int * n, mp_digit * rho) } x = (((b + 2) & 4) << 1) + b; /* here x*a==1 mod 2**4 */ - x *= 2 - b * x; /* here x*a==1 mod 2**8 */ + x *= 2 - (b * x); /* here x*a==1 mod 2**8 */ #if !defined(MP_8BIT) - x *= 2 - b * x; /* here x*a==1 mod 2**16 */ + x *= 2 - (b * x); /* here x*a==1 mod 2**16 */ #endif #if defined(MP_64BIT) || !(defined(MP_8BIT) || defined(MP_16BIT)) - x *= 2 - b * x; /* here x*a==1 mod 2**32 */ + x *= 2 - (b * x); /* here x*a==1 mod 2**32 */ #endif #ifdef MP_64BIT - x *= 2 - b * x; /* here x*a==1 mod 2**64 */ + x *= 2 - (b * x); /* here x*a==1 mod 2**64 */ #endif /* rho = -1/m mod b */ - *rho = (unsigned long)(((mp_word)1 << ((mp_word) DIGIT_BIT)) - x) & MP_MASK; + *rho = (mp_digit)(((mp_word)1 << ((mp_word) DIGIT_BIT)) - x) & MP_MASK; return MP_OKAY; } #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_mul.c b/libtommath/bn_mp_mul.c index bd75d04..ea53d5e 100644 --- a/libtommath/bn_mp_mul.c +++ b/libtommath/bn_mp_mul.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MUL_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* high level multiplication (handles sign) */ @@ -44,17 +44,18 @@ int mp_mul (mp_int * a, mp_int * b, mp_int * c) #ifdef BN_FAST_S_MP_MUL_DIGS_C if ((digs < MP_WARRAY) && - MIN(a->used, b->used) <= - (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { + (MIN(a->used, b->used) <= + (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) { res = fast_s_mp_mul_digs (a, b, c, digs); } else #endif + { #ifdef BN_S_MP_MUL_DIGS_C res = s_mp_mul (a, b, c); /* uses s_mp_mul_digs */ #else res = MP_VAL; #endif - + } } c->sign = (c->used > 0) ? neg : MP_ZPOS; return res; @@ -62,5 +63,5 @@ int mp_mul (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_mul_2.c b/libtommath/bn_mp_mul_2.c index 6ba76be..9c72c7f 100644 --- a/libtommath/bn_mp_mul_2.c +++ b/libtommath/bn_mp_mul_2.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MUL_2_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* b = a*2 */ @@ -21,7 +21,7 @@ int mp_mul_2(mp_int * a, mp_int * b) int x, res, oldused; /* grow to accomodate result */ - if (b->alloc < a->used + 1) { + if (b->alloc < (a->used + 1)) { if ((res = mp_grow (b, a->used + 1)) != MP_OKAY) { return res; } @@ -31,7 +31,7 @@ int mp_mul_2(mp_int * a, mp_int * b) b->used = a->used; { - register mp_digit r, rr, *tmpa, *tmpb; + mp_digit r, rr, *tmpa, *tmpb; /* alias for source */ tmpa = a->dp; @@ -78,5 +78,5 @@ int mp_mul_2(mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_mul_2d.c b/libtommath/bn_mp_mul_2d.c index 385ac59..9967e46 100644 --- a/libtommath/bn_mp_mul_2d.c +++ b/libtommath/bn_mp_mul_2d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MUL_2D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* shift left by a certain bit count */ @@ -28,8 +28,8 @@ int mp_mul_2d (mp_int * a, int b, mp_int * c) } } - if (c->alloc < (int)(c->used + b/DIGIT_BIT + 1)) { - if ((res = mp_grow (c, c->used + b / DIGIT_BIT + 1)) != MP_OKAY) { + if (c->alloc < (int)(c->used + (b / DIGIT_BIT) + 1)) { + if ((res = mp_grow (c, c->used + (b / DIGIT_BIT) + 1)) != MP_OKAY) { return res; } } @@ -44,8 +44,8 @@ int mp_mul_2d (mp_int * a, int b, mp_int * c) /* shift any bit count < DIGIT_BIT */ d = (mp_digit) (b % DIGIT_BIT); if (d != 0) { - register mp_digit *tmpc, shift, mask, r, rr; - register int x; + mp_digit *tmpc, shift, mask, r, rr; + int x; /* bitmask for carries */ mask = (((mp_digit)1) << d) - 1; @@ -81,5 +81,5 @@ int mp_mul_2d (mp_int * a, int b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_mul_d.c b/libtommath/bn_mp_mul_d.c index 13c6066..e77da5d 100644 --- a/libtommath/bn_mp_mul_d.c +++ b/libtommath/bn_mp_mul_d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MUL_D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* multiply by a digit */ @@ -24,7 +24,7 @@ mp_mul_d (mp_int * a, mp_digit b, mp_int * c) int ix, res, olduse; /* make sure c is big enough to hold a*b */ - if (c->alloc < a->used + 1) { + if (c->alloc < (a->used + 1)) { if ((res = mp_grow (c, a->used + 1)) != MP_OKAY) { return res; } @@ -48,7 +48,7 @@ mp_mul_d (mp_int * a, mp_digit b, mp_int * c) /* compute columns */ for (ix = 0; ix < a->used; ix++) { /* compute product and carry sum for this term */ - r = ((mp_word) u) + ((mp_word)*tmpa++) * ((mp_word)b); + r = (mp_word)u + ((mp_word)*tmpa++ * (mp_word)b); /* mask off higher bits to get a single digit */ *tmpc++ = (mp_digit) (r & ((mp_word) MP_MASK)); @@ -75,5 +75,5 @@ mp_mul_d (mp_int * a, mp_digit b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_mulmod.c b/libtommath/bn_mp_mulmod.c index eebca37..5ea88ef 100644 --- a/libtommath/bn_mp_mulmod.c +++ b/libtommath/bn_mp_mulmod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MULMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* d = a * b (mod c) */ @@ -36,5 +36,5 @@ int mp_mulmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_n_root.c b/libtommath/bn_mp_n_root.c index e6bf725..a14ee67 100644 --- a/libtommath/bn_mp_n_root.c +++ b/libtommath/bn_mp_n_root.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_N_ROOT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,121 +12,19 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ -/* find the n'th root of an integer - * - * Result found such that (c)**b <= a and (c+1)**b > a - * - * This algorithm uses Newton's approximation - * x[i+1] = x[i] - f(x[i])/f'(x[i]) - * which will find the root in log(N) time where - * each step involves a fair bit. This is not meant to - * find huge roots [square and cube, etc]. +/* wrapper function for mp_n_root_ex() + * computes c = (a)**(1/b) such that (c)**b <= a and (c+1)**b > a */ int mp_n_root (mp_int * a, mp_digit b, mp_int * c) { - mp_int t1, t2, t3; - int res, neg; - - /* input must be positive if b is even */ - if ((b & 1) == 0 && a->sign == MP_NEG) { - return MP_VAL; - } - - if ((res = mp_init (&t1)) != MP_OKAY) { - return res; - } - - if ((res = mp_init (&t2)) != MP_OKAY) { - goto LBL_T1; - } - - if ((res = mp_init (&t3)) != MP_OKAY) { - goto LBL_T2; - } - - /* if a is negative fudge the sign but keep track */ - neg = a->sign; - a->sign = MP_ZPOS; - - /* t2 = 2 */ - mp_set (&t2, 2); - - do { - /* t1 = t2 */ - if ((res = mp_copy (&t2, &t1)) != MP_OKAY) { - goto LBL_T3; - } - - /* t2 = t1 - ((t1**b - a) / (b * t1**(b-1))) */ - - /* t3 = t1**(b-1) */ - if ((res = mp_expt_d (&t1, b - 1, &t3)) != MP_OKAY) { - goto LBL_T3; - } - - /* numerator */ - /* t2 = t1**b */ - if ((res = mp_mul (&t3, &t1, &t2)) != MP_OKAY) { - goto LBL_T3; - } - - /* t2 = t1**b - a */ - if ((res = mp_sub (&t2, a, &t2)) != MP_OKAY) { - goto LBL_T3; - } - - /* denominator */ - /* t3 = t1**(b-1) * b */ - if ((res = mp_mul_d (&t3, b, &t3)) != MP_OKAY) { - goto LBL_T3; - } - - /* t3 = (t1**b - a)/(b * t1**(b-1)) */ - if ((res = mp_div (&t2, &t3, &t3, NULL)) != MP_OKAY) { - goto LBL_T3; - } - - if ((res = mp_sub (&t1, &t3, &t2)) != MP_OKAY) { - goto LBL_T3; - } - } while (mp_cmp (&t1, &t2) != MP_EQ); - - /* result can be off by a few so check */ - for (;;) { - if ((res = mp_expt_d (&t1, b, &t2)) != MP_OKAY) { - goto LBL_T3; - } - - if (mp_cmp (&t2, a) == MP_GT) { - if ((res = mp_sub_d (&t1, 1, &t1)) != MP_OKAY) { - goto LBL_T3; - } - } else { - break; - } - } - - /* reset the sign of a first */ - a->sign = neg; - - /* set the result */ - mp_exch (&t1, c); - - /* set the sign of the result */ - c->sign = neg; - - res = MP_OKAY; - -LBL_T3:mp_clear (&t3); -LBL_T2:mp_clear (&t2); -LBL_T1:mp_clear (&t1); - return res; + return mp_n_root_ex(a, b, c, 0); } + #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_n_root_ex.c b/libtommath/bn_mp_n_root_ex.c new file mode 100644 index 0000000..79d1dfb --- /dev/null +++ b/libtommath/bn_mp_n_root_ex.c @@ -0,0 +1,132 @@ +#include +#ifdef BN_MP_N_ROOT_EX_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org + */ + +/* find the n'th root of an integer + * + * Result found such that (c)**b <= a and (c+1)**b > a + * + * This algorithm uses Newton's approximation + * x[i+1] = x[i] - f(x[i])/f'(x[i]) + * which will find the root in log(N) time where + * each step involves a fair bit. This is not meant to + * find huge roots [square and cube, etc]. + */ +int mp_n_root_ex (mp_int * a, mp_digit b, mp_int * c, int fast) +{ + mp_int t1, t2, t3; + int res, neg; + + /* input must be positive if b is even */ + if (((b & 1) == 0) && (a->sign == MP_NEG)) { + return MP_VAL; + } + + if ((res = mp_init (&t1)) != MP_OKAY) { + return res; + } + + if ((res = mp_init (&t2)) != MP_OKAY) { + goto LBL_T1; + } + + if ((res = mp_init (&t3)) != MP_OKAY) { + goto LBL_T2; + } + + /* if a is negative fudge the sign but keep track */ + neg = a->sign; + a->sign = MP_ZPOS; + + /* t2 = 2 */ + mp_set (&t2, 2); + + do { + /* t1 = t2 */ + if ((res = mp_copy (&t2, &t1)) != MP_OKAY) { + goto LBL_T3; + } + + /* t2 = t1 - ((t1**b - a) / (b * t1**(b-1))) */ + + /* t3 = t1**(b-1) */ + if ((res = mp_expt_d_ex (&t1, b - 1, &t3, fast)) != MP_OKAY) { + goto LBL_T3; + } + + /* numerator */ + /* t2 = t1**b */ + if ((res = mp_mul (&t3, &t1, &t2)) != MP_OKAY) { + goto LBL_T3; + } + + /* t2 = t1**b - a */ + if ((res = mp_sub (&t2, a, &t2)) != MP_OKAY) { + goto LBL_T3; + } + + /* denominator */ + /* t3 = t1**(b-1) * b */ + if ((res = mp_mul_d (&t3, b, &t3)) != MP_OKAY) { + goto LBL_T3; + } + + /* t3 = (t1**b - a)/(b * t1**(b-1)) */ + if ((res = mp_div (&t2, &t3, &t3, NULL)) != MP_OKAY) { + goto LBL_T3; + } + + if ((res = mp_sub (&t1, &t3, &t2)) != MP_OKAY) { + goto LBL_T3; + } + } while (mp_cmp (&t1, &t2) != MP_EQ); + + /* result can be off by a few so check */ + for (;;) { + if ((res = mp_expt_d_ex (&t1, b, &t2, fast)) != MP_OKAY) { + goto LBL_T3; + } + + if (mp_cmp (&t2, a) == MP_GT) { + if ((res = mp_sub_d (&t1, 1, &t1)) != MP_OKAY) { + goto LBL_T3; + } + } else { + break; + } + } + + /* reset the sign of a first */ + a->sign = neg; + + /* set the result */ + mp_exch (&t1, c); + + /* set the sign of the result */ + c->sign = neg; + + res = MP_OKAY; + +LBL_T3:mp_clear (&t3); +LBL_T2:mp_clear (&t2); +LBL_T1:mp_clear (&t1); + return res; +} +#endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_neg.c b/libtommath/bn_mp_neg.c index 0e868ce..ea32e46 100644 --- a/libtommath/bn_mp_neg.c +++ b/libtommath/bn_mp_neg.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_NEG_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* b = -a */ @@ -36,5 +36,5 @@ int mp_neg (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_or.c b/libtommath/bn_mp_or.c index 5c2761a..b7f2e4f 100644 --- a/libtommath/bn_mp_or.c +++ b/libtommath/bn_mp_or.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_OR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* OR two ints together */ @@ -46,5 +46,5 @@ int mp_or (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_prime_fermat.c b/libtommath/bn_mp_prime_fermat.c index fe10ab2..9dc9e85 100644 --- a/libtommath/bn_mp_prime_fermat.c +++ b/libtommath/bn_mp_prime_fermat.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_PRIME_FERMAT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* performs one Fermat test. @@ -58,5 +58,5 @@ LBL_T:mp_clear (&t); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_prime_is_divisible.c b/libtommath/bn_mp_prime_is_divisible.c index 2b217ae..5854f08 100644 --- a/libtommath/bn_mp_prime_is_divisible.c +++ b/libtommath/bn_mp_prime_is_divisible.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_PRIME_IS_DIVISIBLE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* determines if an integers is divisible by one @@ -46,5 +46,5 @@ int mp_prime_is_divisible (mp_int * a, int *result) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_prime_is_prime.c b/libtommath/bn_mp_prime_is_prime.c index 09908df..be5ebe4 100644 --- a/libtommath/bn_mp_prime_is_prime.c +++ b/libtommath/bn_mp_prime_is_prime.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_PRIME_IS_PRIME_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* performs a variable number of rounds of Miller-Rabin @@ -31,7 +31,7 @@ int mp_prime_is_prime (mp_int * a, int t, int *result) *result = MP_NO; /* valid value of t? */ - if (t <= 0 || t > PRIME_SIZE) { + if ((t <= 0) || (t > PRIME_SIZE)) { return MP_VAL; } @@ -79,5 +79,5 @@ LBL_B:mp_clear (&b); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_prime_miller_rabin.c b/libtommath/bn_mp_prime_miller_rabin.c index fe88d94..7b5c8d2 100644 --- a/libtommath/bn_mp_prime_miller_rabin.c +++ b/libtommath/bn_mp_prime_miller_rabin.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_PRIME_MILLER_RABIN_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* Miller-Rabin test of "a" to the base of "b" as described in @@ -67,10 +67,10 @@ int mp_prime_miller_rabin (mp_int * a, mp_int * b, int *result) } /* if y != 1 and y != n1 do */ - if (mp_cmp_d (&y, 1) != MP_EQ && mp_cmp (&y, &n1) != MP_EQ) { + if ((mp_cmp_d (&y, 1) != MP_EQ) && (mp_cmp (&y, &n1) != MP_EQ)) { j = 1; /* while j <= s-1 and y != n1 */ - while ((j <= (s - 1)) && mp_cmp (&y, &n1) != MP_EQ) { + while ((j <= (s - 1)) && (mp_cmp (&y, &n1) != MP_EQ)) { if ((err = mp_sqrmod (&y, a, &y)) != MP_OKAY) { goto LBL_Y; } @@ -99,5 +99,5 @@ LBL_N1:mp_clear (&n1); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_prime_next_prime.c b/libtommath/bn_mp_prime_next_prime.c index 37a03c6..9951dc3 100644 --- a/libtommath/bn_mp_prime_next_prime.c +++ b/libtommath/bn_mp_prime_next_prime.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_PRIME_NEXT_PRIME_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* finds the next prime after the number "a" using "t" trials @@ -22,12 +22,12 @@ */ int mp_prime_next_prime(mp_int *a, int t, int bbs_style) { - int err, res, x, y; + int err, res = MP_NO, x, y; mp_digit res_tab[PRIME_SIZE], step, kstep; mp_int b; /* ensure t is valid */ - if (t <= 0 || t > PRIME_SIZE) { + if ((t <= 0) || (t > PRIME_SIZE)) { return MP_VAL; } @@ -84,7 +84,7 @@ int mp_prime_next_prime(mp_int *a, int t, int bbs_style) if ((err = mp_sub_d(a, (a->dp[0] & 3) + 1, a)) != MP_OKAY) { return err; }; } } else { - if (mp_iseven(a) == 1) { + if (mp_iseven(a) == MP_YES) { /* force odd */ if ((err = mp_sub_d(a, 1, a)) != MP_OKAY) { return err; @@ -129,7 +129,7 @@ int mp_prime_next_prime(mp_int *a, int t, int bbs_style) y = 1; } } - } while (y == 1 && step < ((((mp_digit)1)<= ((((mp_digit)1)<= ((((mp_digit)1) << DIGIT_BIT) - kstep))) { continue; } @@ -166,5 +166,5 @@ LBL_ERR: #endif /* $Source$ */ -/* $Revision: v0.42.0 $ */ -/* $Date: 2010-07-15 13:49:00 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_prime_rabin_miller_trials.c b/libtommath/bn_mp_prime_rabin_miller_trials.c index b4fc323..bca4229 100644 --- a/libtommath/bn_mp_prime_rabin_miller_trials.c +++ b/libtommath/bn_mp_prime_rabin_miller_trials.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_PRIME_RABIN_MILLER_TRIALS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ @@ -48,5 +48,5 @@ int mp_prime_rabin_miller_trials(int size) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_prime_random_ex.c b/libtommath/bn_mp_prime_random_ex.c index 16d2aae..1efc4fc 100644 --- a/libtommath/bn_mp_prime_random_ex.c +++ b/libtommath/bn_mp_prime_random_ex.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_PRIME_RANDOM_EX_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* makes a truly random prime of a given size (bits), @@ -21,7 +21,6 @@ * * LTM_PRIME_BBS - make prime congruent to 3 mod 4 * LTM_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies LTM_PRIME_BBS) - * LTM_PRIME_2MSB_OFF - make the 2nd highest bit zero * LTM_PRIME_2MSB_ON - make the 2nd highest bit one * * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can @@ -37,12 +36,12 @@ int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback int res, err, bsize, maskOR_msb_offset; /* sanity check the input */ - if (size <= 1 || t <= 0) { + if ((size <= 1) || (t <= 0)) { return MP_VAL; } /* LTM_PRIME_SAFE implies LTM_PRIME_BBS */ - if (flags & LTM_PRIME_SAFE) { + if ((flags & LTM_PRIME_SAFE) != 0) { flags |= LTM_PRIME_BBS; } @@ -61,13 +60,13 @@ int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback /* calc the maskOR_msb */ maskOR_msb = 0; maskOR_msb_offset = ((size & 7) == 1) ? 1 : 0; - if (flags & LTM_PRIME_2MSB_ON) { + if ((flags & LTM_PRIME_2MSB_ON) != 0) { maskOR_msb |= 0x80 >> ((9 - size) & 7); } /* get the maskOR_lsb */ maskOR_lsb = 1; - if (flags & LTM_PRIME_BBS) { + if ((flags & LTM_PRIME_BBS) != 0) { maskOR_lsb |= 3; } @@ -95,7 +94,7 @@ int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback continue; } - if (flags & LTM_PRIME_SAFE) { + if ((flags & LTM_PRIME_SAFE) != 0) { /* see if (a-1)/2 is prime */ if ((err = mp_sub_d(a, 1, a)) != MP_OKAY) { goto error; } if ((err = mp_div_2(a, a)) != MP_OKAY) { goto error; } @@ -105,7 +104,7 @@ int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback } } while (res == MP_NO); - if (flags & LTM_PRIME_SAFE) { + if ((flags & LTM_PRIME_SAFE) != 0) { /* restore a to the original value */ if ((err = mp_mul_2(a, a)) != MP_OKAY) { goto error; } if ((err = mp_add_d(a, 1, a)) != MP_OKAY) { goto error; } @@ -121,5 +120,5 @@ error: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_radix_size.c b/libtommath/bn_mp_radix_size.c index 9d95c48..e5d7772 100644 --- a/libtommath/bn_mp_radix_size.c +++ b/libtommath/bn_mp_radix_size.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_RADIX_SIZE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* returns size of ASCII reprensentation */ @@ -24,14 +24,8 @@ int mp_radix_size (mp_int * a, int radix, int *size) *size = 0; - /* special case for binary */ - if (radix == 2) { - *size = mp_count_bits (a) + (a->sign == MP_NEG ? 1 : 0) + 1; - return MP_OKAY; - } - /* make sure the radix is in range */ - if (radix < 2 || radix > 64) { + if ((radix < 2) || (radix > 64)) { return MP_VAL; } @@ -40,6 +34,12 @@ int mp_radix_size (mp_int * a, int radix, int *size) return MP_OKAY; } + /* special case for binary */ + if (radix == 2) { + *size = mp_count_bits (a) + ((a->sign == MP_NEG) ? 1 : 0) + 1; + return MP_OKAY; + } + /* digs is the digit count */ digs = 0; @@ -74,5 +74,5 @@ int mp_radix_size (mp_int * a, int radix, int *size) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_radix_smap.c b/libtommath/bn_mp_radix_smap.c index b3abd3e..d1c75ad 100644 --- a/libtommath/bn_mp_radix_smap.c +++ b/libtommath/bn_mp_radix_smap.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_RADIX_SMAP_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* chars used in radix conversions */ @@ -20,5 +20,5 @@ const char *mp_s_rmap = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrs #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_rand.c b/libtommath/bn_mp_rand.c index 96e4e46..4c9610d 100644 --- a/libtommath/bn_mp_rand.c +++ b/libtommath/bn_mp_rand.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_RAND_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* makes a pseudo-random int of a given size */ @@ -29,7 +29,7 @@ mp_rand (mp_int * a, int digits) /* first place a random non-zero digit */ do { - d = ((mp_digit) abs (rand ())) & MP_MASK; + d = ((mp_digit) abs (MP_GEN_RANDOM())) & MP_MASK; } while (d == 0); if ((res = mp_add_d (a, d, a)) != MP_OKAY) { @@ -41,7 +41,7 @@ mp_rand (mp_int * a, int digits) return res; } - if ((res = mp_add_d (a, ((mp_digit) abs (rand ())), a)) != MP_OKAY) { + if ((res = mp_add_d (a, ((mp_digit) abs (MP_GEN_RANDOM())), a)) != MP_OKAY) { return res; } } @@ -51,5 +51,5 @@ mp_rand (mp_int * a, int digits) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_read_radix.c b/libtommath/bn_mp_read_radix.c index 8ce103f..5c9eb5e 100644 --- a/libtommath/bn_mp_read_radix.c +++ b/libtommath/bn_mp_read_radix.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_READ_RADIX_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* read a string [ASCII] in a given radix */ @@ -25,7 +25,7 @@ int mp_read_radix (mp_int * a, const char *str, int radix) mp_zero(a); /* make sure the radix is ok */ - if (radix < 2 || radix > 64) { + if ((radix < 2) || (radix > 64)) { return MP_VAL; } @@ -43,12 +43,12 @@ int mp_read_radix (mp_int * a, const char *str, int radix) mp_zero (a); /* process each digit of the string */ - while (*str) { - /* if the radix < 36 the conversion is case insensitive + while (*str != '\0') { + /* if the radix <= 36 the conversion is case insensitive * this allows numbers like 1AB and 1ab to represent the same value * [e.g. in hex] */ - ch = (char) ((radix < 36) ? toupper (*str) : *str); + ch = (radix <= 36) ? (char)toupper((int)*str) : *str; for (y = 0; y < 64; y++) { if (ch == mp_s_rmap[y]) { break; @@ -73,7 +73,7 @@ int mp_read_radix (mp_int * a, const char *str, int radix) } /* set the sign only if a != 0 */ - if (mp_iszero(a) != 1) { + if (mp_iszero(a) != MP_YES) { a->sign = neg; } return MP_OKAY; @@ -81,5 +81,5 @@ int mp_read_radix (mp_int * a, const char *str, int radix) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_read_signed_bin.c b/libtommath/bn_mp_read_signed_bin.c index 92924e8..a4d4760 100644 --- a/libtommath/bn_mp_read_signed_bin.c +++ b/libtommath/bn_mp_read_signed_bin.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_READ_SIGNED_BIN_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* read signed bin, big endian, first byte is 0==positive or 1==negative */ @@ -37,5 +37,5 @@ int mp_read_signed_bin (mp_int * a, const unsigned char *b, int c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_read_unsigned_bin.c b/libtommath/bn_mp_read_unsigned_bin.c index 5a7fa91..e8e5df8 100644 --- a/libtommath/bn_mp_read_unsigned_bin.c +++ b/libtommath/bn_mp_read_unsigned_bin.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_READ_UNSIGNED_BIN_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* reads a unsigned char array, assumes the msb is stored first [big endian] */ @@ -37,12 +37,12 @@ int mp_read_unsigned_bin (mp_int * a, const unsigned char *b, int c) } #ifndef MP_8BIT - a->dp[0] |= *b++; - a->used += 1; + a->dp[0] |= *b++; + a->used += 1; #else - a->dp[0] = (*b & MP_MASK); - a->dp[1] |= ((*b++ >> 7U) & 1); - a->used += 2; + a->dp[0] = (*b & MP_MASK); + a->dp[1] |= ((*b++ >> 7U) & 1); + a->used += 2; #endif } mp_clamp (a); @@ -51,5 +51,5 @@ int mp_read_unsigned_bin (mp_int * a, const unsigned char *b, int c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_reduce.c b/libtommath/bn_mp_reduce.c index 50e1eaa..e2c3a58 100644 --- a/libtommath/bn_mp_reduce.c +++ b/libtommath/bn_mp_reduce.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_REDUCE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,10 +12,10 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ -/* reduces x mod m, assumes 0 < x < m**2, mu is +/* reduces x mod m, assumes 0 < x < m**2, mu is * precomputed via mp_reduce_setup. * From HAC pp.604 Algorithm 14.42 */ @@ -30,10 +30,10 @@ int mp_reduce (mp_int * x, mp_int * m, mp_int * mu) } /* q1 = x / b**(k-1) */ - mp_rshd (&q, um - 1); + mp_rshd (&q, um - 1); /* according to HAC this optimization is ok */ - if (((unsigned long) um) > (((mp_digit)1) << (DIGIT_BIT - 1))) { + if (((mp_digit) um) > (((mp_digit)1) << (DIGIT_BIT - 1))) { if ((res = mp_mul (&q, mu, &q)) != MP_OKAY) { goto CLEANUP; } @@ -46,8 +46,8 @@ int mp_reduce (mp_int * x, mp_int * m, mp_int * mu) if ((res = fast_s_mp_mul_high_digs (&q, mu, &q, um)) != MP_OKAY) { goto CLEANUP; } -#else - { +#else + { res = MP_VAL; goto CLEANUP; } @@ -55,7 +55,7 @@ int mp_reduce (mp_int * x, mp_int * m, mp_int * mu) } /* q3 = q2 / b**(k+1) */ - mp_rshd (&q, um + 1); + mp_rshd (&q, um + 1); /* x = x mod b**(k+1), quick (no division) */ if ((res = mp_mod_2d (x, DIGIT_BIT * (um + 1), x)) != MP_OKAY) { @@ -87,7 +87,7 @@ int mp_reduce (mp_int * x, mp_int * m, mp_int * mu) goto CLEANUP; } } - + CLEANUP: mp_clear (&q); @@ -96,5 +96,5 @@ CLEANUP: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_reduce_2k.c b/libtommath/bn_mp_reduce_2k.c index 6bbc5f1..2876a75 100644 --- a/libtommath/bn_mp_reduce_2k.c +++ b/libtommath/bn_mp_reduce_2k.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_REDUCE_2K_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* reduces a modulo n where n is of the form 2**p - d */ @@ -20,35 +20,37 @@ int mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d) { mp_int q; int p, res; - + if ((res = mp_init(&q)) != MP_OKAY) { return res; } - - p = mp_count_bits(n); + + p = mp_count_bits(n); top: /* q = a/2**p, a = a mod 2**p */ if ((res = mp_div_2d(a, p, &q, a)) != MP_OKAY) { goto ERR; } - + if (d != 1) { /* q = q * d */ - if ((res = mp_mul_d(&q, d, &q)) != MP_OKAY) { + if ((res = mp_mul_d(&q, d, &q)) != MP_OKAY) { goto ERR; } } - + /* a = a + q */ if ((res = s_mp_add(a, &q, a)) != MP_OKAY) { goto ERR; } - + if (mp_cmp_mag(a, n) != MP_LT) { - s_mp_sub(a, n, a); + if ((res = s_mp_sub(a, n, a)) != MP_OKAY) { + goto ERR; + } goto top; } - + ERR: mp_clear(&q); return res; @@ -57,5 +59,5 @@ ERR: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_reduce_2k_l.c b/libtommath/bn_mp_reduce_2k_l.c index 067122a..3225214 100644 --- a/libtommath/bn_mp_reduce_2k_l.c +++ b/libtommath/bn_mp_reduce_2k_l.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_REDUCE_2K_L_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,10 +12,10 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ -/* reduces a modulo n where n is of the form 2**p - d +/* reduces a modulo n where n is of the form 2**p - d This differs from reduce_2k since "d" can be larger than a single digit. */ @@ -23,33 +23,35 @@ int mp_reduce_2k_l(mp_int *a, mp_int *n, mp_int *d) { mp_int q; int p, res; - + if ((res = mp_init(&q)) != MP_OKAY) { return res; } - - p = mp_count_bits(n); + + p = mp_count_bits(n); top: /* q = a/2**p, a = a mod 2**p */ if ((res = mp_div_2d(a, p, &q, a)) != MP_OKAY) { goto ERR; } - + /* q = q * d */ - if ((res = mp_mul(&q, d, &q)) != MP_OKAY) { + if ((res = mp_mul(&q, d, &q)) != MP_OKAY) { goto ERR; } - + /* a = a + q */ if ((res = s_mp_add(a, &q, a)) != MP_OKAY) { goto ERR; } - + if (mp_cmp_mag(a, n) != MP_LT) { - s_mp_sub(a, n, a); + if ((res = s_mp_sub(a, n, a)) != MP_OKAY) { + goto ERR; + } goto top; } - + ERR: mp_clear(&q); return res; @@ -58,5 +60,5 @@ ERR: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_reduce_2k_setup.c b/libtommath/bn_mp_reduce_2k_setup.c index 3f9ffd9..545051e 100644 --- a/libtommath/bn_mp_reduce_2k_setup.c +++ b/libtommath/bn_mp_reduce_2k_setup.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_REDUCE_2K_SETUP_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* determines the setup value */ @@ -43,5 +43,5 @@ int mp_reduce_2k_setup(mp_int *a, mp_digit *d) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_reduce_2k_setup_l.c b/libtommath/bn_mp_reduce_2k_setup_l.c index 686368e..59132dd 100644 --- a/libtommath/bn_mp_reduce_2k_setup_l.c +++ b/libtommath/bn_mp_reduce_2k_setup_l.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_REDUCE_2K_SETUP_L_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* determines the setup value */ @@ -40,5 +40,5 @@ ERR: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_reduce_is_2k.c b/libtommath/bn_mp_reduce_is_2k.c index 08b62ff..784947b 100644 --- a/libtommath/bn_mp_reduce_is_2k.c +++ b/libtommath/bn_mp_reduce_is_2k.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_REDUCE_IS_2K_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* determines if mp_reduce_2k can be used */ @@ -48,5 +48,5 @@ int mp_reduce_is_2k(mp_int *a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_reduce_is_2k_l.c b/libtommath/bn_mp_reduce_is_2k_l.c index a72e39c..c193f39 100644 --- a/libtommath/bn_mp_reduce_is_2k_l.c +++ b/libtommath/bn_mp_reduce_is_2k_l.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_REDUCE_IS_2K_L_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* determines if reduce_2k_l can be used */ @@ -40,5 +40,5 @@ int mp_reduce_is_2k_l(mp_int *a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_reduce_setup.c b/libtommath/bn_mp_reduce_setup.c index f017386..f97eed5 100644 --- a/libtommath/bn_mp_reduce_setup.c +++ b/libtommath/bn_mp_reduce_setup.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_REDUCE_SETUP_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* pre-calculate the value required for Barrett reduction @@ -30,5 +30,5 @@ int mp_reduce_setup (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_rshd.c b/libtommath/bn_mp_rshd.c index bb506e9..77b0f6c 100644 --- a/libtommath/bn_mp_rshd.c +++ b/libtommath/bn_mp_rshd.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_RSHD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* shift right a certain amount of digits */ @@ -32,7 +32,7 @@ void mp_rshd (mp_int * a, int b) } { - register mp_digit *bottom, *top; + mp_digit *bottom, *top; /* shift the digits down */ @@ -68,5 +68,5 @@ void mp_rshd (mp_int * a, int b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_set.c b/libtommath/bn_mp_set.c index 412673a..cac48ea 100644 --- a/libtommath/bn_mp_set.c +++ b/libtommath/bn_mp_set.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SET_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* set to a digit */ @@ -25,5 +25,5 @@ void mp_set (mp_int * a, mp_digit b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_set_int.c b/libtommath/bn_mp_set_int.c index 17cfe89..5aa59d5 100644 --- a/libtommath/bn_mp_set_int.c +++ b/libtommath/bn_mp_set_int.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SET_INT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* set a 32-bit const */ @@ -44,5 +44,5 @@ int mp_set_int (mp_int * a, unsigned long b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_set_long.c b/libtommath/bn_mp_set_long.c new file mode 100644 index 0000000..281fce7 --- /dev/null +++ b/libtommath/bn_mp_set_long.c @@ -0,0 +1,24 @@ +#include +#ifdef BN_MP_SET_LONG_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org + */ + +/* set a platform dependent unsigned long int */ +MP_SET_XLONG(mp_set_long, unsigned long) +#endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_set_long_long.c b/libtommath/bn_mp_set_long_long.c new file mode 100644 index 0000000..3c4b01a --- /dev/null +++ b/libtommath/bn_mp_set_long_long.c @@ -0,0 +1,24 @@ +#include +#ifdef BN_MP_SET_LONG_LONG_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org + */ + +/* set a platform dependent unsigned long long int */ +MP_SET_XLONG(mp_set_long_long, unsigned long long) +#endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_shrink.c b/libtommath/bn_mp_shrink.c index 2bee381..1ad2ede 100644 --- a/libtommath/bn_mp_shrink.c +++ b/libtommath/bn_mp_shrink.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SHRINK_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* shrink a bignum */ @@ -21,8 +21,9 @@ int mp_shrink (mp_int * a) mp_digit *tmp; int used = 1; - if(a->used > 0) + if(a->used > 0) { used = a->used; + } if (a->alloc != used) { if ((tmp = OPT_CAST(mp_digit) XREALLOC (a->dp, sizeof (mp_digit) * used)) == NULL) { @@ -36,5 +37,5 @@ int mp_shrink (mp_int * a) #endif /* $Source$ */ -/* $Revision: v0.42.0 $ */ -/* $Date: 2010-06-02 15:09:36 +0200 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_signed_bin_size.c b/libtommath/bn_mp_signed_bin_size.c index b28d402..0e760a6 100644 --- a/libtommath/bn_mp_signed_bin_size.c +++ b/libtommath/bn_mp_signed_bin_size.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SIGNED_BIN_SIZE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* get the size for an signed equivalent */ @@ -23,5 +23,5 @@ int mp_signed_bin_size (mp_int * a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_sqr.c b/libtommath/bn_mp_sqr.c index b085668..ad2099b 100644 --- a/libtommath/bn_mp_sqr.c +++ b/libtommath/bn_mp_sqr.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SQR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* computes b = a*a */ @@ -29,24 +29,26 @@ mp_sqr (mp_int * a, mp_int * b) } else #endif #ifdef BN_MP_KARATSUBA_SQR_C -if (a->used >= KARATSUBA_SQR_CUTOFF) { + if (a->used >= KARATSUBA_SQR_CUTOFF) { res = mp_karatsuba_sqr (a, b); } else #endif { #ifdef BN_FAST_S_MP_SQR_C /* can we use the fast comba multiplier? */ - if ((a->used * 2 + 1) < MP_WARRAY && - a->used < - (1 << (sizeof(mp_word) * CHAR_BIT - 2*DIGIT_BIT - 1))) { + if ((((a->used * 2) + 1) < MP_WARRAY) && + (a->used < + (1 << (((sizeof(mp_word) * CHAR_BIT) - (2 * DIGIT_BIT)) - 1)))) { res = fast_s_mp_sqr (a, b); } else #endif + { #ifdef BN_S_MP_SQR_C res = s_mp_sqr (a, b); #else res = MP_VAL; #endif + } } b->sign = MP_ZPOS; return res; @@ -54,5 +56,5 @@ if (a->used >= KARATSUBA_SQR_CUTOFF) { #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_sqrmod.c b/libtommath/bn_mp_sqrmod.c index 369028b..2f9463d 100644 --- a/libtommath/bn_mp_sqrmod.c +++ b/libtommath/bn_mp_sqrmod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SQRMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* c = a * a (mod b) */ @@ -37,5 +37,5 @@ mp_sqrmod (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_sqrt.c b/libtommath/bn_mp_sqrt.c index 983e41c..4a52f5e 100644 --- a/libtommath/bn_mp_sqrt.c +++ b/libtommath/bn_mp_sqrt.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SQRT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* this function is less generic than mp_n_root, simpler and faster */ @@ -77,5 +77,5 @@ E2: mp_clear(&t1); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_sqrtmod_prime.c b/libtommath/bn_mp_sqrtmod_prime.c new file mode 100644 index 0000000..968729e --- /dev/null +++ b/libtommath/bn_mp_sqrtmod_prime.c @@ -0,0 +1,124 @@ +#include +#ifdef BN_MP_SQRTMOD_PRIME_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library is free for all purposes without any express + * guarantee it works. + */ + +/* Tonelli-Shanks algorithm + * https://en.wikipedia.org/wiki/Tonelli%E2%80%93Shanks_algorithm + * https://gmplib.org/list-archives/gmp-discuss/2013-April/005300.html + * + */ + +int mp_sqrtmod_prime(mp_int *n, mp_int *prime, mp_int *ret) +{ + int res, legendre; + mp_int t1, C, Q, S, Z, M, T, R, two; + mp_digit i; + + /* first handle the simple cases */ + if (mp_cmp_d(n, 0) == MP_EQ) { + mp_zero(ret); + return MP_OKAY; + } + if (mp_cmp_d(prime, 2) == MP_EQ) return MP_VAL; /* prime must be odd */ + if ((res = mp_jacobi(n, prime, &legendre)) != MP_OKAY) return res; + if (legendre == -1) return MP_VAL; /* quadratic non-residue mod prime */ + + if ((res = mp_init_multi(&t1, &C, &Q, &S, &Z, &M, &T, &R, &two, NULL)) != MP_OKAY) { + return res; + } + + /* SPECIAL CASE: if prime mod 4 == 3 + * compute directly: res = n^(prime+1)/4 mod prime + * Handbook of Applied Cryptography algorithm 3.36 + */ + if ((res = mp_mod_d(prime, 4, &i)) != MP_OKAY) goto cleanup; + if (i == 3) { + if ((res = mp_add_d(prime, 1, &t1)) != MP_OKAY) goto cleanup; + if ((res = mp_div_2(&t1, &t1)) != MP_OKAY) goto cleanup; + if ((res = mp_div_2(&t1, &t1)) != MP_OKAY) goto cleanup; + if ((res = mp_exptmod(n, &t1, prime, ret)) != MP_OKAY) goto cleanup; + res = MP_OKAY; + goto cleanup; + } + + /* NOW: Tonelli-Shanks algorithm */ + + /* factor out powers of 2 from prime-1, defining Q and S as: prime-1 = Q*2^S */ + if ((res = mp_copy(prime, &Q)) != MP_OKAY) goto cleanup; + if ((res = mp_sub_d(&Q, 1, &Q)) != MP_OKAY) goto cleanup; + /* Q = prime - 1 */ + mp_zero(&S); + /* S = 0 */ + while (mp_iseven(&Q) != MP_NO) { + if ((res = mp_div_2(&Q, &Q)) != MP_OKAY) goto cleanup; + /* Q = Q / 2 */ + if ((res = mp_add_d(&S, 1, &S)) != MP_OKAY) goto cleanup; + /* S = S + 1 */ + } + + /* find a Z such that the Legendre symbol (Z|prime) == -1 */ + if ((res = mp_set_int(&Z, 2)) != MP_OKAY) goto cleanup; + /* Z = 2 */ + while(1) { + if ((res = mp_jacobi(&Z, prime, &legendre)) != MP_OKAY) goto cleanup; + if (legendre == -1) break; + if ((res = mp_add_d(&Z, 1, &Z)) != MP_OKAY) goto cleanup; + /* Z = Z + 1 */ + } + + if ((res = mp_exptmod(&Z, &Q, prime, &C)) != MP_OKAY) goto cleanup; + /* C = Z ^ Q mod prime */ + if ((res = mp_add_d(&Q, 1, &t1)) != MP_OKAY) goto cleanup; + if ((res = mp_div_2(&t1, &t1)) != MP_OKAY) goto cleanup; + /* t1 = (Q + 1) / 2 */ + if ((res = mp_exptmod(n, &t1, prime, &R)) != MP_OKAY) goto cleanup; + /* R = n ^ ((Q + 1) / 2) mod prime */ + if ((res = mp_exptmod(n, &Q, prime, &T)) != MP_OKAY) goto cleanup; + /* T = n ^ Q mod prime */ + if ((res = mp_copy(&S, &M)) != MP_OKAY) goto cleanup; + /* M = S */ + if ((res = mp_set_int(&two, 2)) != MP_OKAY) goto cleanup; + + res = MP_VAL; + while (1) { + if ((res = mp_copy(&T, &t1)) != MP_OKAY) goto cleanup; + i = 0; + while (1) { + if (mp_cmp_d(&t1, 1) == MP_EQ) break; + if ((res = mp_exptmod(&t1, &two, prime, &t1)) != MP_OKAY) goto cleanup; + i++; + } + if (i == 0) { + if ((res = mp_copy(&R, ret)) != MP_OKAY) goto cleanup; + res = MP_OKAY; + goto cleanup; + } + if ((res = mp_sub_d(&M, i, &t1)) != MP_OKAY) goto cleanup; + if ((res = mp_sub_d(&t1, 1, &t1)) != MP_OKAY) goto cleanup; + if ((res = mp_exptmod(&two, &t1, prime, &t1)) != MP_OKAY) goto cleanup; + /* t1 = 2 ^ (M - i - 1) */ + if ((res = mp_exptmod(&C, &t1, prime, &t1)) != MP_OKAY) goto cleanup; + /* t1 = C ^ (2 ^ (M - i - 1)) mod prime */ + if ((res = mp_sqrmod(&t1, prime, &C)) != MP_OKAY) goto cleanup; + /* C = (t1 * t1) mod prime */ + if ((res = mp_mulmod(&R, &t1, prime, &R)) != MP_OKAY) goto cleanup; + /* R = (R * t1) mod prime */ + if ((res = mp_mulmod(&T, &C, prime, &T)) != MP_OKAY) goto cleanup; + /* T = (T * C) mod prime */ + mp_set(&M, i); + /* M = i */ + } + +cleanup: + mp_clear_multi(&t1, &C, &Q, &S, &Z, &M, &T, &R, &two, NULL); + return res; +} + +#endif diff --git a/libtommath/bn_mp_sub.c b/libtommath/bn_mp_sub.c index 3c8e5d4..0d616c2 100644 --- a/libtommath/bn_mp_sub.c +++ b/libtommath/bn_mp_sub.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SUB_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* high level subtraction (handles signs) */ @@ -55,5 +55,5 @@ mp_sub (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_sub_d.c b/libtommath/bn_mp_sub_d.c index 13b49bc..f5a932f 100644 --- a/libtommath/bn_mp_sub_d.c +++ b/libtommath/bn_mp_sub_d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SUB_D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* single digit subtraction */ @@ -23,7 +23,7 @@ mp_sub_d (mp_int * a, mp_digit b, mp_int * c) int res, ix, oldused; /* grow c as required */ - if (c->alloc < a->used + 1) { + if (c->alloc < (a->used + 1)) { if ((res = mp_grow(c, a->used + 1)) != MP_OKAY) { return res; } @@ -49,7 +49,7 @@ mp_sub_d (mp_int * a, mp_digit b, mp_int * c) tmpc = c->dp; /* if a <= b simply fix the single digit */ - if ((a->used == 1 && a->dp[0] <= b) || a->used == 0) { + if (((a->used == 1) && (a->dp[0] <= b)) || (a->used == 0)) { if (a->used == 1) { *tmpc++ = b - *tmpa; } else { @@ -67,13 +67,13 @@ mp_sub_d (mp_int * a, mp_digit b, mp_int * c) /* subtract first digit */ *tmpc = *tmpa++ - b; - mu = *tmpc >> (sizeof(mp_digit) * CHAR_BIT - 1); + mu = *tmpc >> ((sizeof(mp_digit) * CHAR_BIT) - 1); *tmpc++ &= MP_MASK; /* handle rest of the digits */ for (ix = 1; ix < a->used; ix++) { *tmpc = *tmpa++ - mu; - mu = *tmpc >> (sizeof(mp_digit) * CHAR_BIT - 1); + mu = *tmpc >> ((sizeof(mp_digit) * CHAR_BIT) - 1); *tmpc++ &= MP_MASK; } } @@ -89,5 +89,5 @@ mp_sub_d (mp_int * a, mp_digit b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_submod.c b/libtommath/bn_mp_submod.c index d919c17..87e0889 100644 --- a/libtommath/bn_mp_submod.c +++ b/libtommath/bn_mp_submod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SUBMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* d = a - b (mod c) */ @@ -38,5 +38,5 @@ mp_submod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_to_signed_bin.c b/libtommath/bn_mp_to_signed_bin.c index dda9285..e9289ea 100644 --- a/libtommath/bn_mp_to_signed_bin.c +++ b/libtommath/bn_mp_to_signed_bin.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_TO_SIGNED_BIN_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* store in signed [big endian] format */ @@ -23,11 +23,11 @@ int mp_to_signed_bin (mp_int * a, unsigned char *b) if ((res = mp_to_unsigned_bin (a, b + 1)) != MP_OKAY) { return res; } - b[0] = (unsigned char) ((a->sign == MP_ZPOS) ? 0 : 1); + b[0] = (a->sign == MP_ZPOS) ? (unsigned char)0 : (unsigned char)1; return MP_OKAY; } #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_to_signed_bin_n.c b/libtommath/bn_mp_to_signed_bin_n.c index 9e3b011..d4fe6e6 100644 --- a/libtommath/bn_mp_to_signed_bin_n.c +++ b/libtommath/bn_mp_to_signed_bin_n.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_TO_SIGNED_BIN_N_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* store in signed [big endian] format */ @@ -27,5 +27,5 @@ int mp_to_signed_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_to_unsigned_bin.c b/libtommath/bn_mp_to_unsigned_bin.c index 76072a9..d3ef46f 100644 --- a/libtommath/bn_mp_to_unsigned_bin.c +++ b/libtommath/bn_mp_to_unsigned_bin.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_TO_UNSIGNED_BIN_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* store in unsigned [big endian] format */ @@ -26,7 +26,7 @@ int mp_to_unsigned_bin (mp_int * a, unsigned char *b) } x = 0; - while (mp_iszero (&t) == 0) { + while (mp_iszero (&t) == MP_NO) { #ifndef MP_8BIT b[x++] = (unsigned char) (t.dp[0] & 255); #else @@ -44,5 +44,5 @@ int mp_to_unsigned_bin (mp_int * a, unsigned char *b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_to_unsigned_bin_n.c b/libtommath/bn_mp_to_unsigned_bin_n.c index 51028d8..2da13cc 100644 --- a/libtommath/bn_mp_to_unsigned_bin_n.c +++ b/libtommath/bn_mp_to_unsigned_bin_n.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_TO_UNSIGNED_BIN_N_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* store in unsigned [big endian] format */ @@ -27,5 +27,5 @@ int mp_to_unsigned_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_toom_mul.c b/libtommath/bn_mp_toom_mul.c index e0fd772..4731f8f 100644 --- a/libtommath/bn_mp_toom_mul.c +++ b/libtommath/bn_mp_toom_mul.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_TOOM_MUL_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,31 +12,31 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ -/* multiplication using the Toom-Cook 3-way algorithm +/* multiplication using the Toom-Cook 3-way algorithm * - * Much more complicated than Karatsuba but has a lower - * asymptotic running time of O(N**1.464). This algorithm is - * only particularly useful on VERY large inputs + * Much more complicated than Karatsuba but has a lower + * asymptotic running time of O(N**1.464). This algorithm is + * only particularly useful on VERY large inputs * (we're talking 1000s of digits here...). */ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) { mp_int w0, w1, w2, w3, w4, tmp1, tmp2, a0, a1, a2, b0, b1, b2; int res, B; - + /* init temps */ - if ((res = mp_init_multi(&w0, &w1, &w2, &w3, &w4, - &a0, &a1, &a2, &b0, &b1, + if ((res = mp_init_multi(&w0, &w1, &w2, &w3, &w4, + &a0, &a1, &a2, &b0, &b1, &b2, &tmp1, &tmp2, NULL)) != MP_OKAY) { return res; } - + /* B */ B = MIN(a->used, b->used) / 3; - + /* a = a2 * B**2 + a1 * B + a0 */ if ((res = mp_mod_2d(a, DIGIT_BIT * B, &a0)) != MP_OKAY) { goto ERR; @@ -46,13 +46,15 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) goto ERR; } mp_rshd(&a1, B); - mp_mod_2d(&a1, DIGIT_BIT * B, &a1); + if ((res = mp_mod_2d(&a1, DIGIT_BIT * B, &a1)) != MP_OKAY) { + goto ERR; + } if ((res = mp_copy(a, &a2)) != MP_OKAY) { goto ERR; } mp_rshd(&a2, B*2); - + /* b = b2 * B**2 + b1 * B + b0 */ if ((res = mp_mod_2d(b, DIGIT_BIT * B, &b0)) != MP_OKAY) { goto ERR; @@ -62,23 +64,23 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) goto ERR; } mp_rshd(&b1, B); - mp_mod_2d(&b1, DIGIT_BIT * B, &b1); + (void)mp_mod_2d(&b1, DIGIT_BIT * B, &b1); if ((res = mp_copy(b, &b2)) != MP_OKAY) { goto ERR; } mp_rshd(&b2, B*2); - + /* w0 = a0*b0 */ if ((res = mp_mul(&a0, &b0, &w0)) != MP_OKAY) { goto ERR; } - + /* w4 = a2 * b2 */ if ((res = mp_mul(&a2, &b2, &w4)) != MP_OKAY) { goto ERR; } - + /* w1 = (a2 + 2(a1 + 2a0))(b2 + 2(b1 + 2b0)) */ if ((res = mp_mul_2(&a0, &tmp1)) != MP_OKAY) { goto ERR; @@ -92,7 +94,7 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) if ((res = mp_add(&tmp1, &a2, &tmp1)) != MP_OKAY) { goto ERR; } - + if ((res = mp_mul_2(&b0, &tmp2)) != MP_OKAY) { goto ERR; } @@ -105,11 +107,11 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) if ((res = mp_add(&tmp2, &b2, &tmp2)) != MP_OKAY) { goto ERR; } - + if ((res = mp_mul(&tmp1, &tmp2, &w1)) != MP_OKAY) { goto ERR; } - + /* w3 = (a0 + 2(a1 + 2a2))(b0 + 2(b1 + 2b2)) */ if ((res = mp_mul_2(&a2, &tmp1)) != MP_OKAY) { goto ERR; @@ -123,7 +125,7 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { goto ERR; } - + if ((res = mp_mul_2(&b2, &tmp2)) != MP_OKAY) { goto ERR; } @@ -136,11 +138,11 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) if ((res = mp_add(&tmp2, &b0, &tmp2)) != MP_OKAY) { goto ERR; } - + if ((res = mp_mul(&tmp1, &tmp2, &w3)) != MP_OKAY) { goto ERR; } - + /* w2 = (a2 + a1 + a0)(b2 + b1 + b0) */ if ((res = mp_add(&a2, &a1, &tmp1)) != MP_OKAY) { @@ -158,127 +160,127 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) if ((res = mp_mul(&tmp1, &tmp2, &w2)) != MP_OKAY) { goto ERR; } - - /* now solve the matrix - + + /* now solve the matrix + 0 0 0 0 1 1 2 4 8 16 1 1 1 1 1 16 8 4 2 1 1 0 0 0 0 - - using 12 subtractions, 4 shifts, - 2 small divisions and 1 small multiplication + + using 12 subtractions, 4 shifts, + 2 small divisions and 1 small multiplication */ - - /* r1 - r4 */ - if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r0 */ - if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/2 */ - if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3/2 */ - if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) { - goto ERR; - } - /* r2 - r0 - r4 */ - if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1 - 8r0 */ - if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - 8r4 */ - if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) { - goto ERR; - } - /* 3r2 - r1 - r3 */ - if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/3 */ - if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) { - goto ERR; - } - /* r3/3 */ - if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { - goto ERR; - } - - /* at this point shift W[n] by B*n */ - if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_add(&w0, &w1, c)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, c, c)) != MP_OKAY) { - goto ERR; - } - + + /* r1 - r4 */ + if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - r0 */ + if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) { + goto ERR; + } + /* r1/2 */ + if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3/2 */ + if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) { + goto ERR; + } + /* r2 - r0 - r4 */ + if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) { + goto ERR; + } + /* r1 - r2 */ + if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - r2 */ + if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { + goto ERR; + } + /* r1 - 8r0 */ + if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - 8r4 */ + if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) { + goto ERR; + } + /* 3r2 - r1 - r3 */ + if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) { + goto ERR; + } + /* r1 - r2 */ + if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - r2 */ + if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { + goto ERR; + } + /* r1/3 */ + if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) { + goto ERR; + } + /* r3/3 */ + if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { + goto ERR; + } + + /* at this point shift W[n] by B*n */ + if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { + goto ERR; + } + + if ((res = mp_add(&w0, &w1, c)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&tmp1, c, c)) != MP_OKAY) { + goto ERR; + } + ERR: - mp_clear_multi(&w0, &w1, &w2, &w3, &w4, - &a0, &a1, &a2, &b0, &b1, - &b2, &tmp1, &tmp2, NULL); - return res; -} - + mp_clear_multi(&w0, &w1, &w2, &w3, &w4, + &a0, &a1, &a2, &b0, &b1, + &b2, &tmp1, &tmp2, NULL); + return res; +} + #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_toom_sqr.c b/libtommath/bn_mp_toom_sqr.c index 9076e6f..69b69d4 100644 --- a/libtommath/bn_mp_toom_sqr.c +++ b/libtommath/bn_mp_toom_sqr.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_TOOM_SQR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* squaring using Toom-Cook 3-way algorithm */ @@ -39,7 +39,9 @@ mp_toom_sqr(mp_int *a, mp_int *b) goto ERR; } mp_rshd(&a1, B); - mp_mod_2d(&a1, DIGIT_BIT * B, &a1); + if ((res = mp_mod_2d(&a1, DIGIT_BIT * B, &a1)) != MP_OKAY) { + goto ERR; + } if ((res = mp_copy(a, &a2)) != MP_OKAY) { goto ERR; @@ -115,112 +117,112 @@ mp_toom_sqr(mp_int *a, mp_int *b) using 12 subtractions, 4 shifts, 2 small divisions and 1 small multiplication. */ - /* r1 - r4 */ - if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r0 */ - if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/2 */ - if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3/2 */ - if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) { - goto ERR; - } - /* r2 - r0 - r4 */ - if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1 - 8r0 */ - if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - 8r4 */ - if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) { - goto ERR; - } - /* 3r2 - r1 - r3 */ - if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/3 */ - if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) { - goto ERR; - } - /* r3/3 */ - if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { - goto ERR; - } - - /* at this point shift W[n] by B*n */ - if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_add(&w0, &w1, b)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, b, b)) != MP_OKAY) { - goto ERR; - } + /* r1 - r4 */ + if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - r0 */ + if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) { + goto ERR; + } + /* r1/2 */ + if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3/2 */ + if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) { + goto ERR; + } + /* r2 - r0 - r4 */ + if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) { + goto ERR; + } + /* r1 - r2 */ + if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - r2 */ + if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { + goto ERR; + } + /* r1 - 8r0 */ + if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - 8r4 */ + if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) { + goto ERR; + } + /* 3r2 - r1 - r3 */ + if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) { + goto ERR; + } + /* r1 - r2 */ + if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - r2 */ + if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { + goto ERR; + } + /* r1/3 */ + if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) { + goto ERR; + } + /* r3/3 */ + if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { + goto ERR; + } + + /* at this point shift W[n] by B*n */ + if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { + goto ERR; + } + + if ((res = mp_add(&w0, &w1, b)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&tmp1, b, b)) != MP_OKAY) { + goto ERR; + } ERR: - mp_clear_multi(&w0, &w1, &w2, &w3, &w4, &a0, &a1, &a2, &tmp1, NULL); - return res; + mp_clear_multi(&w0, &w1, &w2, &w3, &w4, &a0, &a1, &a2, &tmp1, NULL); + return res; } #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_toradix.c b/libtommath/bn_mp_toradix.c index bb95783..f04352d 100644 --- a/libtommath/bn_mp_toradix.c +++ b/libtommath/bn_mp_toradix.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_TORADIX_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* stores a bignum as a ASCII string in a given radix (2..64) */ @@ -24,12 +24,12 @@ int mp_toradix (mp_int * a, char *str, int radix) char *_s = str; /* check range of the radix */ - if (radix < 2 || radix > 64) { + if ((radix < 2) || (radix > 64)) { return MP_VAL; } /* quick out if its zero */ - if (mp_iszero(a) == 1) { + if (mp_iszero(a) == MP_YES) { *str++ = '0'; *str = '\0'; return MP_OKAY; @@ -47,7 +47,7 @@ int mp_toradix (mp_int * a, char *str, int radix) } digs = 0; - while (mp_iszero (&t) == 0) { + while (mp_iszero (&t) == MP_NO) { if ((res = mp_div_d (&t, (mp_digit) radix, &t, &d)) != MP_OKAY) { mp_clear (&t); return res; @@ -71,5 +71,5 @@ int mp_toradix (mp_int * a, char *str, int radix) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_toradix_n.c b/libtommath/bn_mp_toradix_n.c index 7e425d6..19b61d7 100644 --- a/libtommath/bn_mp_toradix_n.c +++ b/libtommath/bn_mp_toradix_n.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_TORADIX_N_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* stores a bignum as a ASCII string in a given radix (2..64) @@ -27,7 +27,7 @@ int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen) char *_s = str; /* check range of the maxlen, radix */ - if (maxlen < 2 || radix < 2 || radix > 64) { + if ((maxlen < 2) || (radix < 2) || (radix > 64)) { return MP_VAL; } @@ -56,7 +56,7 @@ int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen) } digs = 0; - while (mp_iszero (&t) == 0) { + while (mp_iszero (&t) == MP_NO) { if (--maxlen < 1) { /* no more room */ break; @@ -84,5 +84,5 @@ int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_unsigned_bin_size.c b/libtommath/bn_mp_unsigned_bin_size.c index b16fdcd..0312625 100644 --- a/libtommath/bn_mp_unsigned_bin_size.c +++ b/libtommath/bn_mp_unsigned_bin_size.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_UNSIGNED_BIN_SIZE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,17 +12,17 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* get the size for an unsigned equivalent */ int mp_unsigned_bin_size (mp_int * a) { int size = mp_count_bits (a); - return (size / 8 + ((size & 7) != 0 ? 1 : 0)); + return (size / 8) + (((size & 7) != 0) ? 1 : 0); } #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_xor.c b/libtommath/bn_mp_xor.c index 5744556..3c2ba9e 100644 --- a/libtommath/bn_mp_xor.c +++ b/libtommath/bn_mp_xor.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_XOR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* XOR two ints together */ @@ -47,5 +47,5 @@ mp_xor (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_zero.c b/libtommath/bn_mp_zero.c index 99e6df2..21365ed 100644 --- a/libtommath/bn_mp_zero.c +++ b/libtommath/bn_mp_zero.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_ZERO_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* set to zero */ @@ -32,5 +32,5 @@ void mp_zero (mp_int * a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_prime_tab.c b/libtommath/bn_prime_tab.c index fb5ad08..ae727a4 100644 --- a/libtommath/bn_prime_tab.c +++ b/libtommath/bn_prime_tab.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_PRIME_TAB_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ const mp_digit ltm_prime_tab[] = { 0x0002, 0x0003, 0x0005, 0x0007, 0x000B, 0x000D, 0x0011, 0x0013, @@ -57,5 +57,5 @@ const mp_digit ltm_prime_tab[] = { #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_reverse.c b/libtommath/bn_reverse.c index 17cdcc1..fc6eb2d 100644 --- a/libtommath/bn_reverse.c +++ b/libtommath/bn_reverse.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_REVERSE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* reverse an array, used for radix code */ @@ -35,5 +35,5 @@ bn_reverse (unsigned char *s, int len) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_s_mp_add.c b/libtommath/bn_s_mp_add.c index 0ca20b8..c2ad649 100644 --- a/libtommath/bn_s_mp_add.c +++ b/libtommath/bn_s_mp_add.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_S_MP_ADD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* low level addition, based on HAC pp.594, Algorithm 14.7 */ @@ -36,7 +36,7 @@ s_mp_add (mp_int * a, mp_int * b, mp_int * c) } /* init result */ - if (c->alloc < max + 1) { + if (c->alloc < (max + 1)) { if ((res = mp_grow (c, max + 1)) != MP_OKAY) { return res; } @@ -47,8 +47,8 @@ s_mp_add (mp_int * a, mp_int * b, mp_int * c) c->used = max + 1; { - register mp_digit u, *tmpa, *tmpb, *tmpc; - register int i; + mp_digit u, *tmpa, *tmpb, *tmpc; + int i; /* alias for digit pointers */ @@ -105,5 +105,5 @@ s_mp_add (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_s_mp_exptmod.c b/libtommath/bn_s_mp_exptmod.c index bc02a28..63e1b1e 100644 --- a/libtommath/bn_s_mp_exptmod.c +++ b/libtommath/bn_s_mp_exptmod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_S_MP_EXPTMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ #ifdef MP_LOW_MEM #define TAB_SIZE 32 @@ -164,12 +164,12 @@ int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) * in the exponent. Technically this opt is not required but it * does lower the # of trivial squaring/reductions used */ - if (mode == 0 && y == 0) { + if ((mode == 0) && (y == 0)) { continue; } /* if the bit is zero and mode == 1 then we square */ - if (mode == 1 && y == 0) { + if ((mode == 1) && (y == 0)) { if ((err = mp_sqr (&res, &res)) != MP_OKAY) { goto LBL_RES; } @@ -211,7 +211,7 @@ int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) } /* if bits remain then square/multiply */ - if (mode == 2 && bitcpy > 0) { + if ((mode == 2) && (bitcpy > 0)) { /* square then multiply if the bit is set */ for (x = 0; x < bitcpy; x++) { if ((err = mp_sqr (&res, &res)) != MP_OKAY) { @@ -248,5 +248,5 @@ LBL_M: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_s_mp_mul_digs.c b/libtommath/bn_s_mp_mul_digs.c index 86196bf..bd8553d 100644 --- a/libtommath/bn_s_mp_mul_digs.c +++ b/libtommath/bn_s_mp_mul_digs.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_S_MP_MUL_DIGS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* multiplies |a| * |b| and only computes upto digs digits of result @@ -29,8 +29,8 @@ int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) /* can we use the fast multiplier? */ if (((digs) < MP_WARRAY) && - MIN (a->used, b->used) < - (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { + (MIN (a->used, b->used) < + (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) { return fast_s_mp_mul_digs (a, b, c, digs); } @@ -61,9 +61,9 @@ int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) /* compute the columns of the output and propagate the carry */ for (iy = 0; iy < pb; iy++) { /* compute the column as a mp_word */ - r = ((mp_word)*tmpt) + - ((mp_word)tmpx) * ((mp_word)*tmpy++) + - ((mp_word) u); + r = (mp_word)*tmpt + + ((mp_word)tmpx * (mp_word)*tmpy++) + + (mp_word)u; /* the new column is the lower part of the result */ *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); @@ -72,7 +72,7 @@ int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) u = (mp_digit) (r >> ((mp_word) DIGIT_BIT)); } /* set carry if it is placed below digs */ - if (ix + iy < digs) { + if ((ix + iy) < digs) { *tmpt = u; } } @@ -86,5 +86,5 @@ int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_s_mp_mul_high_digs.c b/libtommath/bn_s_mp_mul_high_digs.c index 019014e..153cea44 100644 --- a/libtommath/bn_s_mp_mul_high_digs.c +++ b/libtommath/bn_s_mp_mul_high_digs.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_S_MP_MUL_HIGH_DIGS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* multiplies |a| * |b| and does not compute the lower digs digits @@ -30,7 +30,7 @@ s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) /* can we use the fast multiplier? */ #ifdef BN_FAST_S_MP_MUL_HIGH_DIGS_C if (((a->used + b->used + 1) < MP_WARRAY) - && MIN (a->used, b->used) < (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { + && (MIN (a->used, b->used) < (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) { return fast_s_mp_mul_high_digs (a, b, c, digs); } #endif @@ -57,9 +57,9 @@ s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) for (iy = digs - ix; iy < pb; iy++) { /* calculate the double precision result */ - r = ((mp_word)*tmpt) + - ((mp_word)tmpx) * ((mp_word)*tmpy++) + - ((mp_word) u); + r = (mp_word)*tmpt + + ((mp_word)tmpx * (mp_word)*tmpy++) + + (mp_word)u; /* get the lower part */ *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); @@ -77,5 +77,5 @@ s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_s_mp_sqr.c b/libtommath/bn_s_mp_sqr.c index 90c465d..68c95bc 100644 --- a/libtommath/bn_s_mp_sqr.c +++ b/libtommath/bn_s_mp_sqr.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_S_MP_SQR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* low level squaring, b = a*a, HAC pp.596-597, Algorithm 14.16 */ @@ -24,18 +24,18 @@ int s_mp_sqr (mp_int * a, mp_int * b) mp_digit u, tmpx, *tmpt; pa = a->used; - if ((res = mp_init_size (&t, 2*pa + 1)) != MP_OKAY) { + if ((res = mp_init_size (&t, (2 * pa) + 1)) != MP_OKAY) { return res; } /* default used is maximum possible size */ - t.used = 2*pa + 1; + t.used = (2 * pa) + 1; for (ix = 0; ix < pa; ix++) { /* first calculate the digit at 2*ix */ /* calculate double precision result */ - r = ((mp_word) t.dp[2*ix]) + - ((mp_word)a->dp[ix])*((mp_word)a->dp[ix]); + r = (mp_word)t.dp[2*ix] + + ((mp_word)a->dp[ix] * (mp_word)a->dp[ix]); /* store lower part in result */ t.dp[ix+ix] = (mp_digit) (r & ((mp_word) MP_MASK)); @@ -47,7 +47,7 @@ int s_mp_sqr (mp_int * a, mp_int * b) tmpx = a->dp[ix]; /* alias for where to store the results */ - tmpt = t.dp + (2*ix + 1); + tmpt = t.dp + ((2 * ix) + 1); for (iy = ix + 1; iy < pa; iy++) { /* first calculate the product */ @@ -80,5 +80,5 @@ int s_mp_sqr (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_s_mp_sub.c b/libtommath/bn_s_mp_sub.c index ccea6bd..c0ea556 100644 --- a/libtommath/bn_s_mp_sub.c +++ b/libtommath/bn_s_mp_sub.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_S_MP_SUB_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* low level subtraction (assumes |a| > |b|), HAC pp.595 Algorithm 14.9 */ @@ -35,8 +35,8 @@ s_mp_sub (mp_int * a, mp_int * b, mp_int * c) c->used = max; { - register mp_digit u, *tmpa, *tmpb, *tmpc; - register int i; + mp_digit u, *tmpa, *tmpb, *tmpc; + int i; /* alias for digit pointers */ tmpa = a->dp; @@ -47,14 +47,14 @@ s_mp_sub (mp_int * a, mp_int * b, mp_int * c) u = 0; for (i = 0; i < min; i++) { /* T[i] = A[i] - B[i] - U */ - *tmpc = *tmpa++ - *tmpb++ - u; + *tmpc = (*tmpa++ - *tmpb++) - u; /* U = carry bit of T[i] * Note this saves performing an AND operation since * if a carry does occur it will propagate all the way to the * MSB. As a result a single shift is enough to get the carry */ - u = *tmpc >> ((mp_digit)(CHAR_BIT * sizeof (mp_digit) - 1)); + u = *tmpc >> ((mp_digit)((CHAR_BIT * sizeof(mp_digit)) - 1)); /* Clear carry from T[i] */ *tmpc++ &= MP_MASK; @@ -66,7 +66,7 @@ s_mp_sub (mp_int * a, mp_int * b, mp_int * c) *tmpc = *tmpa++ - u; /* U = carry bit of T[i] */ - u = *tmpc >> ((mp_digit)(CHAR_BIT * sizeof (mp_digit) - 1)); + u = *tmpc >> ((mp_digit)((CHAR_BIT * sizeof(mp_digit)) - 1)); /* Clear carry from T[i] */ *tmpc++ &= MP_MASK; @@ -85,5 +85,5 @@ s_mp_sub (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bncore.c b/libtommath/bncore.c index 1a0ac2c..9552714 100644 --- a/libtommath/bncore.c +++ b/libtommath/bncore.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BNCORE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* Known optimal configurations @@ -32,5 +32,5 @@ int KARATSUBA_MUL_CUTOFF = 80, /* Min. number of digits before Karatsub #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/booker.pl b/libtommath/booker.pl index 49f1889..c2abae6 100644 --- a/libtommath/booker.pl +++ b/libtommath/booker.pl @@ -15,7 +15,7 @@ if (shift =~ /PDF/) { $graph = ""; } else { $graph = ".ps"; -} +} open(IN,"tommath.tex") or die "Can't open destination file"; @@ -26,18 +26,18 @@ $x = 0; while () { print "."; if (!(++$x % 80)) { print "\n"; } - #update the headings + #update the headings if (~($_ =~ /\*/)) { - if ($_ =~ /\\chapter{.+}/) { + if ($_ =~ /\\chapter\{.+}/) { ++$chapter; $section = $subsection = 0; - } elsif ($_ =~ /\\section{.+}/) { + } elsif ($_ =~ /\\section\{.+}/) { ++$section; $subsection = 0; - } elsif ($_ =~ /\\subsection{.+}/) { + } elsif ($_ =~ /\\subsection\{.+}/) { ++$subsection; } - } + } if ($_ =~ m/MARK/) { @m = split(",",$_); @@ -56,7 +56,7 @@ $srcline = 0; while () { ++$readline; ++$srcline; - + if ($_ =~ m/MARK/) { } elsif ($_ =~ m/EXAM/ || $_ =~ m/LIST/) { if ($_ =~ m/EXAM/) { @@ -64,29 +64,29 @@ while () { } else { $skipheader = 0; } - + # EXAM,file chomp($_); @m = split(",",$_); open(SRC,"<$m[1]") or die "Error:$srcline:Can't open source file $m[1]"; - + print "$srcline:Inserting $m[1]:"; - + $line = 0; $tmp = $m[1]; $tmp =~ s/_/"\\_"/ge; print OUT "\\vspace{+3mm}\\begin{small}\n\\hspace{-5.1mm}{\\bf File}: $tmp\n\\vspace{-3mm}\n\\begin{alltt}\n"; $wroteline += 5; - + if ($skipheader == 1) { - # scan till next end of comment, e.g. skip license + # scan till next end of comment, e.g. skip license while () { $text[$line++] = $_; - last if ($_ =~ /math\.libtomcrypt\.com/); + last if ($_ =~ /libtom\.org/); } - ; + ; } - + $inline = 0; while () { next if ($_ =~ /\$Source/); @@ -100,11 +100,11 @@ while () { $_ =~ s/}/"^}"/ge; $_ =~ s/\\/'\symbol{92}'/ge; $_ =~ s/\^/"\\"/ge; - + printf OUT ("%03d ", $line); for ($x = 0; $x < length($_); $x++) { print OUT chr(vec($_, $x, 8)); - if ($x == 75) { + if ($x == 75) { print OUT "\n "; ++$wroteline; } @@ -123,9 +123,9 @@ while () { $txt = $_; while ($txt =~ m/@\d+,.+@/) { @m = split("@",$txt); # splits into text, one, two - @parms = split(",",$m[1]); # splits one,two into two elements - - # now search from $parms[0] down for $parms[1] + @parms = split(",",$m[1]); # splits one,two into two elements + + # now search from $parms[0] down for $parms[1] $found1 = 0; $found2 = 0; for ($i = $parms[0]; $i < $totlines && $found1 == 0; $i++) { @@ -134,7 +134,7 @@ while () { $found1 = 1; } } - + # now search backwards for ($i = $parms[0] - 1; $i >= 0 && $found2 == 0; $i--) { if ($text[$i] =~ m/\Q$parms[1]\E/) { @@ -142,7 +142,7 @@ while () { $found2 = 1; } } - + # now use the closest match or the first if tied if ($found1 == 1 && $found2 == 0) { $found = 1; @@ -160,8 +160,8 @@ while () { } else { $found = 0; } - - # if found replace + + # if found replace if ($found == 1) { $delta = $parms[0] - $foundline; print "Found replacement tag for \"$parms[1]\" on line $srcline which refers to line $foundline (delta $delta)\n"; @@ -169,8 +169,8 @@ while () { } else { print "ERROR: The tag \"$parms[1]\" on line $srcline was not found in the most recently parsed source!\n"; } - - # remake the rest of the line + + # remake the rest of the line $cnt = @m; $txt = ""; for ($i = 2; $i < $cnt; $i++) { @@ -184,13 +184,13 @@ while () { $txt = $_; while ($txt =~ /~.+~/) { @m = split("~", $txt); - + # word is the second position $word = @m[1]; $a = $index1{$word}; $b = $index2{$word}; $c = $index3{$word}; - + # if chapter (a) is zero it wasn't found if ($a == 0) { print "ERROR: the tag \"$word\" on line $srcline was not found previously marked.\n"; @@ -199,7 +199,7 @@ while () { $str = $a; $str = $str . ".$b" if ($b != 0); $str = $str . ".$c" if ($c != 0); - + if ($b == 0 && $c == 0) { # its a chapter if ($a <= 10) { @@ -228,16 +228,16 @@ while () { $str = "chapter " . $str; } } else { - $str = "section " . $str if ($b != 0 && $c == 0); + $str = "section " . $str if ($b != 0 && $c == 0); $str = "sub-section " . $str if ($b != 0 && $c != 0); } - + #substitute $_ =~ s/~\Q$word\E~/$str/; - + print "Found replacement tag for marker \"$word\" on line $srcline which refers to $str\n"; } - + # remake rest of the line $cnt = @m; $txt = ""; @@ -263,3 +263,5 @@ print "Read $readline lines, wrote $wroteline lines\n"; close (OUT); close (IN); + +system('perl -pli -e "s/\s*$//" tommath.tex'); diff --git a/libtommath/callgraph.txt b/libtommath/callgraph.txt index 2efcf24..e98a910 100644 --- a/libtommath/callgraph.txt +++ b/libtommath/callgraph.txt @@ -1,402 +1,132 @@ -BN_PRIME_TAB_C - - -BN_MP_SQRT_C -+--->BN_MP_N_ROOT_C -| +--->BN_MP_INIT_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_EXPT_D_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_KARATSUBA_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_FAST_S_MP_SQR_C +BN_MP_KARATSUBA_MUL_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_KARATSUBA_MUL_C -| | | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_DIV_3_C | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_CLEAR_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C +| | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_D_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C +| +--->BN_S_MP_MUL_DIGS_C | | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CMP_C -| | +--->BN_MP_CMP_MAG_C -| +--->BN_MP_SUB_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_ZERO_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_RSHD_C -+--->BN_MP_DIV_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_SET_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_ABS_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_MULTI_C | | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C ++--->BN_MP_CLAMP_C ++--->BN_S_MP_ADD_C +| +--->BN_MP_GROW_C +--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C | +--->BN_MP_CMP_MAG_C | +--->BN_S_MP_SUB_C | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_2_C ++--->BN_S_MP_SUB_C | +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C -+--->BN_MP_EXCH_C ++--->BN_MP_LSHD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +--->BN_MP_CLEAR_C -BN_MP_CMP_D_C +BN_MP_ZERO_C -BN_MP_EXCH_C +BN_MP_SET_C ++--->BN_MP_ZERO_C -BN_MP_IS_SQUARE_C -+--->BN_MP_MOD_D_C -| +--->BN_MP_DIV_D_C +BN_MP_TO_SIGNED_BIN_C ++--->BN_MP_TO_UNSIGNED_BIN_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_INIT_SET_INT_C -| +--->BN_MP_INIT_C -| +--->BN_MP_SET_INT_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C + + +BN_S_MP_SUB_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C + + +BN_MP_JACOBI_C ++--->BN_MP_CMP_D_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_CNT_LSB_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +--->BN_MP_MOD_C -| +--->BN_MP_INIT_C | +--->BN_MP_DIV_C | | +--->BN_MP_CMP_MAG_C | | +--->BN_MP_COPY_C @@ -427,18 +157,10 @@ BN_MP_IS_SQUARE_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C | | +--->BN_MP_EXCH_C | | +--->BN_MP_CLEAR_MULTI_C | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C | | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C @@ -449,6 +171,7 @@ BN_MP_IS_SQUARE_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_CLEAR_C | +--->BN_MP_CLEAR_C +| +--->BN_MP_EXCH_C | +--->BN_MP_ADD_C | | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C @@ -457,362 +180,180 @@ BN_MP_IS_SQUARE_C | | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C + + +BN_MP_INIT_COPY_C ++--->BN_MP_INIT_SIZE_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C + + +BN_MP_ABS_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C + + +BN_MP_RADIX_SMAP_C + + +BN_MP_EXCH_C + + +BN_MP_EXPORT_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C | +--->BN_MP_EXCH_C -+--->BN_MP_GET_INT_C -+--->BN_MP_SQRT_C -| +--->BN_MP_N_ROOT_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C ++--->BN_MP_CLEAR_C + + +BN_MP_TO_UNSIGNED_BIN_N_C ++--->BN_MP_UNSIGNED_BIN_SIZE_C +| +--->BN_MP_COUNT_BITS_C ++--->BN_MP_TO_UNSIGNED_BIN_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_EXPT_D_C -| | | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_FAST_S_MP_SQR_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_ABS_C -| | | +--->BN_MP_MUL_2D_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C + + +BN_MP_TO_SIGNED_BIN_N_C ++--->BN_MP_SIGNED_BIN_SIZE_C +| +--->BN_MP_UNSIGNED_BIN_SIZE_C +| | +--->BN_MP_COUNT_BITS_C ++--->BN_MP_TO_SIGNED_BIN_C +| +--->BN_MP_TO_UNSIGNED_BIN_C +| | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_SUB_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_D_C -| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C | | +--->BN_MP_CLEAR_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_INIT_COPY_C + + +BN_MP_LCM_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_GCD_C +| +--->BN_MP_ABS_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C +| +--->BN_MP_CNT_LSB_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_MP_EXCH_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_CMP_MAG_C ++--->BN_MP_DIV_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_SET_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C | +--->BN_MP_ADD_C | | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C | | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2_C -| | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_EXCH_C | +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_INIT_C +| +--->BN_MP_INIT_COPY_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C | +--->BN_MP_CLEAR_C -+--->BN_MP_SQR_C -| +--->BN_MP_TOOM_SQR_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLEAR_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C | | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_COPY_C @@ -828,7 +369,6 @@ BN_MP_IS_SQUARE_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -836,7 +376,6 @@ BN_MP_IS_SQUARE_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -860,802 +399,471 @@ BN_MP_IS_SQUARE_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_CLEAR_MULTI_C | | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_SQR_C +| +--->BN_MP_KARATSUBA_MUL_C | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_ADD_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_ADD_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C | | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_SQR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SQR_C +| +--->BN_S_MP_MUL_DIGS_C | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C | | +--->BN_MP_CLEAR_C -+--->BN_MP_CMP_MAG_C -+--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C -BN_MP_NEG_C +BN_MP_CMP_MAG_C + + +BN_MP_PRIME_RABIN_MILLER_TRIALS_C + + +BN_MP_MUL_2D_C +--->BN_MP_COPY_C | +--->BN_MP_GROW_C ++--->BN_MP_GROW_C ++--->BN_MP_LSHD_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C ++--->BN_MP_CLAMP_C -BN_MP_EXPTMOD_C -+--->BN_MP_INIT_C -+--->BN_MP_INVMOD_C -| +--->BN_FAST_MP_INVMOD_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C +BN_MP_MUL_C ++--->BN_MP_TOOM_MUL_C +| +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_ZERO_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_DIV_2_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_2_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_CMP_D_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_INVMOD_SLOW_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_COPY_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_CMP_D_C | | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_2_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_3_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C -+--->BN_MP_ABS_C -| +--->BN_MP_COPY_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_LSHD_C | | +--->BN_MP_GROW_C -+--->BN_MP_CLEAR_MULTI_C -+--->BN_MP_REDUCE_IS_2K_L_C -+--->BN_S_MP_EXPTMOD_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_REDUCE_SETUP_C -| | +--->BN_MP_2EXPT_C -| | | +--->BN_MP_ZERO_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_KARATSUBA_MUL_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ADD_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_REDUCE_C -| | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C | | +--->BN_MP_RSHD_C | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CLEAR_C ++--->BN_FAST_S_MP_MUL_DIGS_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_S_MP_MUL_DIGS_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C + + +BN_MP_SQR_C ++--->BN_MP_TOOM_SQR_C +| +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_2_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_D_C -| | +--->BN_MP_SET_C +| +--->BN_MP_DIV_2_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_3_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_KARATSUBA_SQR_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C | | | +--->BN_MP_ZERO_C +| +--->BN_MP_ADD_C +| | +--->BN_MP_CMP_MAG_C +| +--->BN_MP_CLEAR_C ++--->BN_FAST_S_MP_SQR_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_S_MP_SQR_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C + + +BN_MP_INIT_C + + +BN_MP_2EXPT_C ++--->BN_MP_ZERO_C ++--->BN_MP_GROW_C + + +BN_MP_SIGNED_BIN_SIZE_C ++--->BN_MP_UNSIGNED_BIN_SIZE_C +| +--->BN_MP_COUNT_BITS_C + + +BN_MP_OR_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_MOD_C ++--->BN_MP_INIT_C ++--->BN_MP_DIV_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_SET_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_CLAMP_C | | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_REDUCE_2K_SETUP_L_C -| | +--->BN_MP_2EXPT_C -| | | +--->BN_MP_ZERO_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C | | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_REDUCE_2K_L_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_MOD_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_COPY_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C ++--->BN_MP_EXCH_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C + + +BN_MP_DIV_C ++--->BN_MP_CMP_MAG_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_ZERO_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_SET_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_ABS_C ++--->BN_MP_MUL_2D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_INIT_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C ++--->BN_MP_INIT_C ++--->BN_MP_INIT_COPY_C ++--->BN_MP_LSHD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C ++--->BN_MP_RSHD_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C + + +BN_MP_INIT_SET_C ++--->BN_MP_INIT_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C + + +BN_MP_PRIME_IS_PRIME_C ++--->BN_MP_CMP_D_C ++--->BN_MP_PRIME_IS_DIVISIBLE_C +| +--->BN_MP_MOD_D_C +| | +--->BN_MP_DIV_D_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_C | | | | +--->BN_MP_MOD_2D_C | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_SQR_C -| | +--->BN_MP_TOOM_SQR_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_DIV_3_C | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_C | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_CLEAR_C | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | +--->BN_FAST_S_MP_SQR_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_PRIME_MILLER_RABIN_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C +| +--->BN_MP_SUB_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_D_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_KARATSUBA_MUL_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CNT_LSB_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_SET_C | | +--->BN_MP_ZERO_C -| +--->BN_MP_EXCH_C -+--->BN_MP_DR_IS_MODULUS_C -+--->BN_MP_REDUCE_IS_2K_C -| +--->BN_MP_REDUCE_2K_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C +| | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_COUNT_BITS_C -+--->BN_MP_EXPTMOD_FAST_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_MONTGOMERY_SETUP_C -| +--->BN_FAST_MP_MONTGOMERY_REDUCE_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| +--->BN_MP_MONTGOMERY_REDUCE_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| +--->BN_MP_DR_SETUP_C -| +--->BN_MP_DR_REDUCE_C -| | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| +--->BN_MP_REDUCE_2K_SETUP_C -| | +--->BN_MP_2EXPT_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_REDUCE_2K_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| | +--->BN_MP_2EXPT_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_MULMOD_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_EXPTMOD_C +| | +--->BN_MP_INVMOD_C +| | | +--->BN_FAST_MP_INVMOD_C | | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_COPY_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | +--->BN_MP_ABS_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C @@ -1663,7 +871,9 @@ BN_MP_EXPTMOD_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C +| | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C @@ -1671,178 +881,515 @@ BN_MP_EXPTMOD_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_INVMOD_SLOW_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | +--->BN_MP_ABS_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_ABS_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_REDUCE_IS_2K_L_C +| | +--->BN_S_MP_EXPTMOD_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_REDUCE_SETUP_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C +| | | +--->BN_MP_REDUCE_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_REDUCE_2K_SETUP_L_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_REDUCE_2K_L_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_FAST_S_MP_SQR_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_SQR_C -| | +--->BN_MP_TOOM_SQR_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DR_IS_MODULUS_C +| | +--->BN_MP_REDUCE_IS_2K_C +| | | +--->BN_MP_REDUCE_2K_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_MUL_D_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C @@ -1850,243 +1397,180 @@ BN_MP_EXPTMOD_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_EXPTMOD_FAST_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_MONTGOMERY_SETUP_C +| | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_KARATSUBA_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_MONTGOMERY_REDUCE_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_RSHD_C | | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_ADD_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | +--->BN_FAST_S_MP_SQR_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_DR_SETUP_C +| | | +--->BN_MP_DR_REDUCE_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_REDUCE_2K_SETUP_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_REDUCE_2K_C +| | | | +--->BN_MP_MUL_D_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_KARATSUBA_MUL_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MUL_2_C | | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_EXCH_C - - -BN_MP_OR_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_ZERO_C - - -BN_MP_GROW_C - - -BN_MP_COUNT_BITS_C - - -BN_MP_PRIME_FERMAT_C -+--->BN_MP_CMP_D_C -+--->BN_MP_INIT_C -+--->BN_MP_EXPTMOD_C -| +--->BN_MP_INVMOD_C -| | +--->BN_FAST_MP_INVMOD_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_ABS_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MULMOD_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_MUL_2D_C | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_MUL_D_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2D_C -| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_COPY_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_SET_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INVMOD_SLOW_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_MOD_C | | | | +--->BN_MP_DIV_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_MP_COPY_C | | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_INIT_MULTI_C | | | | | +--->BN_MP_MUL_2D_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_LSHD_C @@ -2107,18 +1591,8 @@ BN_MP_PRIME_FERMAT_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2D_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_COPY_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C @@ -2127,8 +1601,7 @@ BN_MP_PRIME_FERMAT_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C @@ -2137,108 +1610,16 @@ BN_MP_PRIME_FERMAT_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SET_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_ABS_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_REDUCE_IS_2K_L_C -| +--->BN_S_MP_EXPTMOD_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_REDUCE_SETUP_C -| | | +--->BN_MP_2EXPT_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_REDUCE_C -| | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C | | | | | +--->BN_MP_INIT_MULTI_C | | | | | +--->BN_MP_MOD_2D_C | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_MUL_2_C | | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_ADD_C @@ -2273,104 +1654,32 @@ BN_MP_PRIME_FERMAT_C | | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_KARATSUBA_SQR_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_FAST_S_MP_SQR_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_S_MP_SQR_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C -| | | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SET_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_REDUCE_2K_SETUP_L_C -| | | +--->BN_MP_2EXPT_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_REDUCE_2K_L_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_MUL_C | | | | +--->BN_MP_TOOM_MUL_C | | | | | +--->BN_MP_INIT_MULTI_C | | | | | +--->BN_MP_MOD_2D_C | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_MUL_2_C @@ -2410,18 +1719,14 @@ BN_MP_PRIME_FERMAT_C | | | | +--->BN_MP_KARATSUBA_MUL_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C @@ -2433,75 +1738,21 @@ BN_MP_PRIME_FERMAT_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C +| +--->BN_MP_CMP_C +| | +--->BN_MP_CMP_MAG_C +| +--->BN_MP_SQRMOD_C | | +--->BN_MP_SQR_C | | | +--->BN_MP_TOOM_SQR_C | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_MOD_2D_C | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_RSHD_C | | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_MUL_2_C @@ -2536,27 +1787,25 @@ BN_MP_PRIME_FERMAT_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C | | | +--->BN_MP_KARATSUBA_SQR_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_C | | | +--->BN_FAST_S_MP_SQR_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -2564,174 +1813,169 @@ BN_MP_PRIME_FERMAT_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C +| | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_MUL_D_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_DR_IS_MODULUS_C -| +--->BN_MP_REDUCE_IS_2K_C -| | +--->BN_MP_REDUCE_2K_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MOD_2D_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_EXPTMOD_FAST_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_MONTGOMERY_SETUP_C -| | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | +--->BN_MP_MONTGOMERY_REDUCE_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C + + +BN_FAST_S_MP_SQR_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C + + +BN_MP_UNSIGNED_BIN_SIZE_C ++--->BN_MP_COUNT_BITS_C + + +BN_MP_INIT_SIZE_C ++--->BN_MP_INIT_C + + +BN_FAST_S_MP_MUL_DIGS_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C + + +BN_MP_REDUCE_IS_2K_L_C + + +BN_MP_REDUCE_IS_2K_C ++--->BN_MP_REDUCE_2K_C +| +--->BN_MP_INIT_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | +--->BN_MP_DR_SETUP_C -| | +--->BN_MP_DR_REDUCE_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_COUNT_BITS_C + + +BN_MP_SUB_C ++--->BN_S_MP_ADD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C + + +BN_MP_REDUCE_2K_SETUP_C ++--->BN_MP_INIT_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_2EXPT_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_GROW_C ++--->BN_MP_CLEAR_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C + + +BN_MP_DIV_2D_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_ZERO_C ++--->BN_MP_INIT_C ++--->BN_MP_MOD_2D_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C ++--->BN_MP_RSHD_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C + + +BN_MP_DR_REDUCE_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C + + +BN_MP_SQRT_C ++--->BN_MP_N_ROOT_C +| +--->BN_MP_N_ROOT_EX_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | +--->BN_MP_REDUCE_2K_SETUP_C -| | | +--->BN_MP_2EXPT_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_REDUCE_2K_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| | | +--->BN_MP_2EXPT_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SET_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MULMOD_C +| | +--->BN_MP_EXPT_D_EX_C +| | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_MUL_C | | | | +--->BN_MP_TOOM_MUL_C | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C | | | | | +--->BN_MP_MOD_2D_C | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_MUL_2_C @@ -2766,27 +2010,27 @@ BN_MP_PRIME_FERMAT_C | | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_KARATSUBA_MUL_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C @@ -2794,188 +2038,75 @@ BN_MP_PRIME_FERMAT_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C | | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_SUB_C | | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2D_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_COPY_C -| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_MUL_2D_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_MUL_D_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_FAST_S_MP_SQR_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C +| | | | +--->BN_S_MP_SQR_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | +--->BN_FAST_S_MP_SQR_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C | | +--->BN_MP_MUL_C | | | +--->BN_MP_TOOM_MUL_C | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_MOD_2D_C | | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_CLAMP_C @@ -3013,27 +2144,27 @@ BN_MP_PRIME_FERMAT_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C | | | +--->BN_MP_KARATSUBA_MUL_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLEAR_C | | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -3041,167 +2172,136 @@ BN_MP_PRIME_FERMAT_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXCH_C -+--->BN_MP_CMP_C -| +--->BN_MP_CMP_MAG_C -+--->BN_MP_CLEAR_C - - -BN_MP_SUBMOD_C -+--->BN_MP_INIT_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C -+--->BN_MP_MOD_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_SUB_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C | | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_SUB_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_ZERO_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_RSHD_C ++--->BN_MP_DIV_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_SET_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C | +--->BN_MP_ADD_C | | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C | | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C | +--->BN_MP_EXCH_C - - -BN_MP_MOD_2D_C -+--->BN_MP_ZERO_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_MP_TORADIX_N_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_LSHD_C | | +--->BN_MP_GROW_C -+--->BN_MP_DIV_D_C -| +--->BN_MP_COPY_C +| +--->BN_MP_MUL_D_C | | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_DIV_3_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C | +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C - - -BN_MP_CMP_C -+--->BN_MP_CMP_MAG_C - - -BNCORE_C - - -BN_MP_TORADIX_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_DIV_D_C -| +--->BN_MP_COPY_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C | | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_DIV_3_C -| | +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C - - -BN_MP_ADD_D_C -+--->BN_MP_GROW_C -+--->BN_MP_SUB_D_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C | +--->BN_MP_CLAMP_C -+--->BN_MP_CLAMP_C - - -BN_MP_DIV_3_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C +--->BN_MP_EXCH_C +--->BN_MP_CLEAR_C -BN_FAST_S_MP_MUL_DIGS_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_MP_SQRMOD_C +BN_MP_MULMOD_C +--->BN_MP_INIT_C -+--->BN_MP_SQR_C -| +--->BN_MP_TOOM_SQR_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C | | +--->BN_MP_INIT_MULTI_C | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_MOD_2D_C @@ -3250,30 +2350,26 @@ BN_MP_SQRMOD_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_CLEAR_MULTI_C | | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_SQR_C +| +--->BN_MP_KARATSUBA_MUL_C | | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C | | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_ADD_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_ADD_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C | | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_SQR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SQR_C +| +--->BN_S_MP_MUL_DIGS_C | | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C @@ -3327,6 +2423,7 @@ BN_MP_SQRMOD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C | | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C | +--->BN_MP_ADD_C | | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C @@ -3335,7 +2432,6 @@ BN_MP_SQRMOD_C | | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C BN_MP_INVMOD_C @@ -3395,6 +2491,7 @@ BN_MP_INVMOD_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_EXCH_C | | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C @@ -3403,7 +2500,6 @@ BN_MP_INVMOD_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C | +--->BN_MP_SET_C | | +--->BN_MP_ZERO_C | +--->BN_MP_DIV_2_C @@ -3487,6 +2583,7 @@ BN_MP_INVMOD_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_EXCH_C | | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C @@ -3495,7 +2592,6 @@ BN_MP_INVMOD_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C | +--->BN_MP_COPY_C | | +--->BN_MP_GROW_C | +--->BN_MP_SET_C @@ -3528,196 +2624,91 @@ BN_MP_INVMOD_C | | +--->BN_MP_CLEAR_C -BN_MP_AND_C +BN_MP_PRIME_MILLER_RABIN_C ++--->BN_MP_CMP_D_C +--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C | +--->BN_MP_COPY_C | | +--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_MUL_D_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_FAST_MP_INVMOD_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_COPY_C ++--->BN_MP_SUB_D_C | +--->BN_MP_GROW_C -+--->BN_MP_MOD_C -| +--->BN_MP_INIT_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_ADD_D_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_DIV_2_C -| +--->BN_MP_GROW_C | +--->BN_MP_CLAMP_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_C -| +--->BN_MP_CMP_MAG_C -+--->BN_MP_CMP_D_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C ++--->BN_MP_CNT_LSB_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C | | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C | | +--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_CLEAR_C - - -BN_MP_FWRITE_C -+--->BN_MP_RADIX_SIZE_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C | +--->BN_MP_CLEAR_C -+--->BN_MP_TORADIX_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C - - -BN_S_MP_SQR_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_N_ROOT_C -+--->BN_MP_INIT_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_EXPT_D_C -| +--->BN_MP_INIT_COPY_C -| +--->BN_MP_SQR_C -| | +--->BN_MP_TOOM_SQR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_EXPTMOD_C +| +--->BN_MP_INVMOD_C +| | +--->BN_FAST_MP_INVMOD_C | | | +--->BN_MP_INIT_MULTI_C | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SET_C | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_DIV_2_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C @@ -3725,7 +2716,9 @@ BN_MP_N_ROOT_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C +| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_ADD_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C @@ -3733,64 +2726,71 @@ BN_MP_N_ROOT_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_EXCH_C | | | +--->BN_MP_CLEAR_MULTI_C | | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_KARATSUBA_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_FAST_S_MP_SQR_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INVMOD_SLOW_C | | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SET_C | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_DIV_2_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_ADD_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C @@ -3807,69 +2807,251 @@ BN_MP_N_ROOT_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_KARATSUBA_MUL_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_C | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_ABS_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_REDUCE_IS_2K_L_C +| +--->BN_S_MP_EXPTMOD_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_REDUCE_SETUP_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_REDUCE_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SET_C +| | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_REDUCE_2K_SETUP_L_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_GROW_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C +| | +--->BN_MP_REDUCE_2K_L_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -3877,276 +3059,268 @@ BN_MP_N_ROOT_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_FAST_S_MP_SQR_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_DR_IS_MODULUS_C +| +--->BN_MP_REDUCE_IS_2K_C +| | +--->BN_MP_REDUCE_2K_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_EXPTMOD_FAST_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_MONTGOMERY_SETUP_C +| | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_ABS_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | +--->BN_MP_MONTGOMERY_REDUCE_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_COPY_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CMP_C -| +--->BN_MP_CMP_MAG_C -+--->BN_MP_SUB_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_ADD_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_PRIME_RABIN_MILLER_TRIALS_C - - -BN_MP_RADIX_SIZE_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_DIV_D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_DIV_3_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C - - -BN_MP_READ_SIGNED_BIN_C -+--->BN_MP_READ_UNSIGNED_BIN_C -| +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C - - -BN_MP_PRIME_RANDOM_EX_C -+--->BN_MP_READ_UNSIGNED_BIN_C -| +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_COPY_C -| | +--->BN_MP_LSHD_C | | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_PRIME_IS_PRIME_C -| +--->BN_MP_CMP_D_C -| +--->BN_MP_PRIME_IS_DIVISIBLE_C -| | +--->BN_MP_MOD_D_C -| | | +--->BN_MP_DIV_D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_INIT_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | +--->BN_MP_DR_SETUP_C +| | +--->BN_MP_DR_REDUCE_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | +--->BN_MP_REDUCE_2K_SETUP_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_PRIME_MILLER_RABIN_C -| | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_COPY_C +| | +--->BN_MP_REDUCE_2K_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_SUB_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_D_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CNT_LSB_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C +| | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXPTMOD_C -| | | +--->BN_MP_INVMOD_C -| | | | +--->BN_FAST_MP_INVMOD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SET_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MULMOD_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_COPY_C | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_MOD_C -| | | | | | +--->BN_MP_DIV_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | | +--->BN_MP_ABS_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C +| | | | | +--->BN_MP_ADD_C | | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C @@ -4154,9 +3328,7 @@ BN_MP_PRIME_RANDOM_EX_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_SUB_C | | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C @@ -4164,575 +3336,222 @@ BN_MP_PRIME_RANDOM_EX_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INVMOD_SLOW_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_MOD_C -| | | | | | +--->BN_MP_DIV_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | | +--->BN_MP_ABS_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_DIV_2_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_REDUCE_IS_2K_L_C -| | | +--->BN_S_MP_EXPTMOD_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_REDUCE_SETUP_C -| | | | | +--->BN_MP_2EXPT_C -| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2D_C | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_REDUCE_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_C -| | | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_COPY_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C | | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CMP_C | | | | | +--->BN_MP_SUB_C | | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_ADD_C | | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_REDUCE_2K_SETUP_L_C -| | | | | +--->BN_MP_2EXPT_C -| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_REDUCE_2K_L_C -| | | | | +--->BN_MP_MUL_C -| | | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_COPY_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_SQR_C -| | | | | +--->BN_MP_TOOM_SQR_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_FAST_S_MP_SQR_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SQR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_DR_IS_MODULUS_C -| | | +--->BN_MP_REDUCE_IS_2K_C -| | | | +--->BN_MP_REDUCE_2K_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_EXPTMOD_FAST_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_MONTGOMERY_SETUP_C -| | | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| | | | +--->BN_MP_DIV_2_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_MONTGOMERY_REDUCE_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_DR_SETUP_C -| | | | +--->BN_MP_DR_REDUCE_C -| | | | | +--->BN_MP_GROW_C +| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_REDUCE_2K_SETUP_C -| | | | | +--->BN_MP_2EXPT_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_REDUCE_2K_C -| | | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C @@ -4740,886 +3559,206 @@ BN_MP_PRIME_RANDOM_EX_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| | | | | +--->BN_MP_2EXPT_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MULMOD_C -| | | | | +--->BN_MP_MUL_C -| | | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_COPY_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_MOD_C -| | | | | | +--->BN_MP_DIV_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_COPY_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_SQR_C -| | | | | +--->BN_MP_TOOM_SQR_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_FAST_S_MP_SQR_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SQR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_SQRMOD_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C ++--->BN_MP_CMP_C +| +--->BN_MP_CMP_MAG_C ++--->BN_MP_SQRMOD_C +| +--->BN_MP_SQR_C +| | +--->BN_MP_TOOM_SQR_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_ABS_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_SUB_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_ADD_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_2_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_2_C -| +--->BN_MP_GROW_C -+--->BN_MP_ADD_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C - - -BN_MP_KARATSUBA_SQR_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C -+--->BN_MP_SQR_C -| +--->BN_MP_TOOM_SQR_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C +| | | +--->BN_MP_DIV_2_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_SUB_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C +| | +--->BN_FAST_S_MP_SQR_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C | | | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_SQR_C -| | +--->BN_MP_GROW_C -| +--->BN_S_MP_SQR_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -+--->BN_S_MP_ADD_C -| +--->BN_MP_GROW_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C -+--->BN_MP_ADD_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -+--->BN_MP_CLEAR_C - - -BN_MP_INIT_COPY_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C - - -BN_MP_CLAMP_C - - -BN_MP_TOOM_SQR_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C | +--->BN_MP_CLEAR_C -+--->BN_MP_MOD_2D_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_RSHD_C -| +--->BN_MP_ZERO_C -+--->BN_MP_SQR_C -| +--->BN_MP_KARATSUBA_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_DIV_C | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_SQR_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_MUL_2_C -| +--->BN_MP_GROW_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_2_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_2D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_3_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -+--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_CLEAR_C - - -BN_MP_MOD_C -+--->BN_MP_INIT_C -+--->BN_MP_DIV_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_SET_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_ABS_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C | | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_COPY_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C - - -BN_MP_INIT_C - - -BN_MP_TOOM_MUL_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_MOD_2D_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_RSHD_C -| +--->BN_MP_ZERO_C -+--->BN_MP_MUL_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C | | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_MUL_2_C -| +--->BN_MP_GROW_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_2_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C + + +BN_MP_READ_UNSIGNED_BIN_C ++--->BN_MP_GROW_C ++--->BN_MP_ZERO_C +--->BN_MP_MUL_2D_C -| +--->BN_MP_GROW_C +| +--->BN_MP_COPY_C | +--->BN_MP_LSHD_C +| | +--->BN_MP_RSHD_C | +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_3_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -+--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_CLEAR_C ++--->BN_MP_CLAMP_C -BN_MP_PRIME_IS_PRIME_C -+--->BN_MP_CMP_D_C -+--->BN_MP_PRIME_IS_DIVISIBLE_C -| +--->BN_MP_MOD_D_C -| | +--->BN_MP_DIV_D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_C +BN_MP_N_ROOT_C ++--->BN_MP_N_ROOT_EX_C +| +--->BN_MP_INIT_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_EXPT_D_EX_C +| | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -+--->BN_MP_INIT_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_PRIME_MILLER_RABIN_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_SUB_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CNT_LSB_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_EXPTMOD_C -| | +--->BN_MP_INVMOD_C -| | | +--->BN_FAST_MP_INVMOD_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | +--->BN_MP_ABS_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C +| | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C @@ -5627,9 +3766,7 @@ BN_MP_PRIME_IS_PRIME_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C @@ -5637,68 +3774,60 @@ BN_MP_PRIME_IS_PRIME_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_INVMOD_SLOW_C -| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | +--->BN_MP_ABS_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_COPY_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C @@ -5715,256 +3844,63 @@ BN_MP_PRIME_IS_PRIME_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_ABS_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_REDUCE_IS_2K_L_C -| | +--->BN_S_MP_EXPTMOD_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_REDUCE_SETUP_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_DIV_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C +| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_2K_SETUP_L_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_2K_L_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_SUB_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C @@ -5972,240 +3908,292 @@ BN_MP_PRIME_IS_PRIME_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_FAST_S_MP_SQR_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_DR_IS_MODULUS_C -| | +--->BN_MP_REDUCE_IS_2K_C -| | | +--->BN_MP_REDUCE_2K_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_EXPTMOD_FAST_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_MONTGOMERY_SETUP_C -| | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_RSHD_C | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_MONTGOMERY_REDUCE_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_DR_SETUP_C -| | | +--->BN_MP_DR_REDUCE_C +| | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_REDUCE_2K_SETUP_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CMP_C +| | +--->BN_MP_CMP_MAG_C +| +--->BN_MP_SUB_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C + + +BN_MP_EXPT_D_EX_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C ++--->BN_MP_SQR_C +| +--->BN_MP_TOOM_SQR_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_KARATSUBA_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C + + +BN_MP_EXPT_D_C ++--->BN_MP_EXPT_D_EX_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_2K_C -| | | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C @@ -6213,806 +4201,4335 @@ BN_MP_PRIME_IS_PRIME_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MULMOD_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_SQR_C +| | +--->BN_MP_TOOM_SQR_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_CMP_C -| | +--->BN_MP_CMP_MAG_C -| +--->BN_MP_SQRMOD_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_KARATSUBA_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C +| | | +--->BN_MP_DIV_3_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C +| | +--->BN_FAST_S_MP_SQR_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C - - -BN_MP_COPY_C -+--->BN_MP_GROW_C - - -BN_S_MP_SUB_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C -BN_MP_READ_UNSIGNED_BIN_C -+--->BN_MP_GROW_C -+--->BN_MP_ZERO_C -+--->BN_MP_MUL_2D_C +BN_MP_XOR_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C | +--->BN_MP_COPY_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C +| | +--->BN_MP_GROW_C +--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C -BN_MP_EXPTMOD_FAST_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_INIT_C -+--->BN_MP_CLEAR_C -+--->BN_MP_MONTGOMERY_SETUP_C -+--->BN_FAST_MP_MONTGOMERY_REDUCE_C -| +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -+--->BN_MP_MONTGOMERY_REDUCE_C +BN_MP_REDUCE_SETUP_C ++--->BN_MP_2EXPT_C +| +--->BN_MP_ZERO_C | +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C ++--->BN_MP_DIV_C | +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -+--->BN_MP_DR_SETUP_C -+--->BN_MP_DR_REDUCE_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -+--->BN_MP_REDUCE_2K_SETUP_C -| +--->BN_MP_2EXPT_C -| | +--->BN_MP_ZERO_C +| +--->BN_MP_COPY_C | | +--->BN_MP_GROW_C -| +--->BN_S_MP_SUB_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_SET_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C +| +--->BN_MP_MUL_2D_C | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C -+--->BN_MP_REDUCE_2K_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C +| +--->BN_MP_CMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_INIT_C | | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C | | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_ADD_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_INIT_C +| +--->BN_MP_INIT_COPY_C +| +--->BN_MP_LSHD_C | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_MUL_D_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -+--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| +--->BN_MP_2EXPT_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_2_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C + + +BN_MP_RSHD_C ++--->BN_MP_ZERO_C + + +BN_MP_NEG_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C + + +BN_MP_SHRINK_C + + +BN_MP_PRIME_RANDOM_EX_C ++--->BN_MP_READ_UNSIGNED_BIN_C +| +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C -+--->BN_MP_MULMOD_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_PRIME_IS_PRIME_C +| +--->BN_MP_CMP_D_C +| +--->BN_MP_PRIME_IS_DIVISIBLE_C +| | +--->BN_MP_MOD_D_C +| | | +--->BN_MP_DIV_D_C | | | | +--->BN_MP_COPY_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_RSHD_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_INIT_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_C | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_PRIME_MILLER_RABIN_C +| | +--->BN_MP_INIT_COPY_C | | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_SUB_D_C | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_D_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_MOD_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_CNT_LSB_C +| | +--->BN_MP_DIV_2D_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_ABS_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLEAR_C | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_MOD_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXPTMOD_C +| | | +--->BN_MP_INVMOD_C +| | | | +--->BN_FAST_MP_INVMOD_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_MOD_C +| | | | | | +--->BN_MP_DIV_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | | +--->BN_MP_ABS_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INVMOD_SLOW_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_MOD_C +| | | | | | +--->BN_MP_DIV_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | | +--->BN_MP_ABS_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_REDUCE_IS_2K_L_C +| | | +--->BN_S_MP_EXPTMOD_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_REDUCE_SETUP_C +| | | | | +--->BN_MP_2EXPT_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_C +| | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_COPY_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_2K_SETUP_L_C +| | | | | +--->BN_MP_2EXPT_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_2K_L_C +| | | | | +--->BN_MP_MUL_C +| | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_COPY_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_SQR_C +| | | | | +--->BN_MP_TOOM_SQR_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_FAST_S_MP_SQR_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_DR_IS_MODULUS_C +| | | +--->BN_MP_REDUCE_IS_2K_C +| | | | +--->BN_MP_REDUCE_2K_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_EXPTMOD_FAST_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_MONTGOMERY_SETUP_C +| | | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_MONTGOMERY_REDUCE_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_DR_SETUP_C +| | | | +--->BN_MP_DR_REDUCE_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_REDUCE_2K_SETUP_C +| | | | | +--->BN_MP_2EXPT_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_2K_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| | | | | +--->BN_MP_2EXPT_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MULMOD_C +| | | | | +--->BN_MP_MUL_C +| | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_COPY_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_MOD_C +| | | | | | +--->BN_MP_DIV_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_SQR_C +| | | | | +--->BN_MP_TOOM_SQR_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_FAST_S_MP_SQR_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_SQRMOD_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_FAST_S_MP_SQR_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_SUB_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_ADD_D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_2_C +| +--->BN_MP_GROW_C ++--->BN_MP_ADD_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C + + +BN_MP_CMP_D_C + + +BN_MP_DR_IS_MODULUS_C + + +BN_MP_IMPORT_C ++--->BN_MP_ZERO_C ++--->BN_MP_MUL_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLAMP_C + + +BN_MP_COUNT_BITS_C + + +BN_MP_FREAD_C ++--->BN_MP_ZERO_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_ADD_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_SUB_D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_D_C + + +BN_MP_REDUCE_2K_L_C ++--->BN_MP_INIT_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_S_MP_ADD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C + + +BN_MP_AND_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_SQRMOD_C ++--->BN_MP_INIT_C ++--->BN_MP_SQR_C +| +--->BN_MP_TOOM_SQR_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_KARATSUBA_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C ++--->BN_MP_MOD_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C + + +BN_MP_DIV_D_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_INIT_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_DIV_3_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_INIT_MULTI_C ++--->BN_MP_INIT_C ++--->BN_MP_CLEAR_C + + +BN_S_MP_EXPTMOD_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_INIT_C ++--->BN_MP_CLEAR_C ++--->BN_MP_REDUCE_SETUP_C +| +--->BN_MP_2EXPT_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_REDUCE_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| +--->BN_S_MP_MUL_HIGH_DIGS_C +| | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_D_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| | +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_REDUCE_2K_SETUP_L_C +| +--->BN_MP_2EXPT_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_GROW_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_REDUCE_2K_L_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_MOD_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_SQR_C +| +--->BN_MP_TOOM_SQR_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_KARATSUBA_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_EXCH_C + + +BN_MP_MONTGOMERY_CALC_NORMALIZATION_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_2EXPT_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_GROW_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_MUL_2_C +| +--->BN_MP_GROW_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C + + +BN_MP_MONTGOMERY_SETUP_C + + +BN_FAST_MP_INVMOD_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_MOD_C +| +--->BN_MP_INIT_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_C +| +--->BN_MP_CMP_MAG_C ++--->BN_MP_CMP_D_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C + + +BN_MP_TO_UNSIGNED_BIN_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_CLEAR_MULTI_C ++--->BN_MP_CLEAR_C + + +BNCORE_C + + +BN_MP_TORADIX_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_DIV_D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_DIV_3_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C + + +BN_MP_EXPTMOD_FAST_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_INIT_C ++--->BN_MP_CLEAR_C ++--->BN_MP_MONTGOMERY_SETUP_C ++--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C ++--->BN_MP_MONTGOMERY_REDUCE_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C ++--->BN_MP_DR_SETUP_C ++--->BN_MP_DR_REDUCE_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C ++--->BN_MP_REDUCE_2K_SETUP_C +| +--->BN_MP_2EXPT_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_GROW_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_REDUCE_2K_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| +--->BN_MP_2EXPT_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_2_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_MULMOD_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_MOD_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_SQR_C +| +--->BN_MP_TOOM_SQR_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_KARATSUBA_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C ++--->BN_MP_EXCH_C + + +BN_MP_MUL_D_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C + + +BN_MP_SET_LONG_LONG_C + + +BN_MP_DIV_2_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C + + +BN_ERROR_C + + +BN_MP_RAND_C ++--->BN_MP_ZERO_C ++--->BN_MP_ADD_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_SUB_D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_LSHD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C + + +BN_S_MP_SQR_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_CMP_C ++--->BN_MP_CMP_MAG_C + + +BN_MP_N_ROOT_EX_C ++--->BN_MP_INIT_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_EXPT_D_EX_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_SQR_C +| | +--->BN_MP_TOOM_SQR_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | +--->BN_FAST_S_MP_SQR_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_COPY_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_CMP_C +| +--->BN_MP_CMP_MAG_C ++--->BN_MP_SUB_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_ADD_D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_PRIME_IS_DIVISIBLE_C ++--->BN_MP_MOD_D_C +| +--->BN_MP_DIV_D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C + + +BN_MP_INIT_SET_INT_C ++--->BN_MP_INIT_C ++--->BN_MP_SET_INT_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C + + +BN_MP_DIV_3_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_MONTGOMERY_REDUCE_C ++--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C ++--->BN_MP_RSHD_C +| +--->BN_MP_ZERO_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C + + +BN_MP_INVMOD_SLOW_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_MOD_C +| +--->BN_MP_INIT_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C | | +--->BN_MP_SUB_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_C +| +--->BN_MP_CMP_MAG_C ++--->BN_MP_CMP_D_C ++--->BN_MP_CMP_MAG_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C + + +BN_S_MP_ADD_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C + + +BN_MP_READ_SIGNED_BIN_C ++--->BN_MP_READ_UNSIGNED_BIN_C +| +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C + + +BN_MP_MOD_D_C ++--->BN_MP_DIV_D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_DIV_3_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C + + +BN_MP_SQRTMOD_PRIME_C ++--->BN_MP_CMP_D_C ++--->BN_MP_ZERO_C ++--->BN_MP_JACOBI_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_CNT_LSB_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_MOD_D_C +| +--->BN_MP_DIV_D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_ADD_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_SUB_D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_EXPTMOD_C +| +--->BN_MP_INIT_C +| +--->BN_MP_INVMOD_C +| | +--->BN_FAST_MP_INVMOD_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2D_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_COPY_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INVMOD_SLOW_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2D_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_COPY_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_ABS_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_REDUCE_IS_2K_L_C +| +--->BN_S_MP_EXPTMOD_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_REDUCE_SETUP_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_REDUCE_C +| | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_REDUCE_2K_SETUP_L_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_REDUCE_2K_L_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_DR_IS_MODULUS_C +| +--->BN_MP_REDUCE_IS_2K_C +| | +--->BN_MP_REDUCE_2K_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_EXPTMOD_FAST_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_MONTGOMERY_SETUP_C +| | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | +--->BN_MP_MONTGOMERY_REDUCE_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | +--->BN_MP_DR_SETUP_C +| | +--->BN_MP_DR_REDUCE_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | +--->BN_MP_REDUCE_2K_SETUP_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_REDUCE_2K_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MULMOD_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2D_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_COPY_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_FAST_S_MP_SQR_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_SUB_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_SET_INT_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C | | +--->BN_MP_CLAMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_SQR_C -| +--->BN_MP_TOOM_SQR_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_SQRMOD_C +| +--->BN_MP_INIT_C +| +--->BN_MP_SQR_C +| | +--->BN_MP_TOOM_SQR_C +| | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_2_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_FAST_S_MP_SQR_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C +| | +--->BN_S_MP_SQR_C | | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_KARATSUBA_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_DIV_C | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C | | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_ADD_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C -| +--->BN_FAST_S_MP_SQR_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C +| | +--->BN_MP_EXCH_C | | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C @@ -7021,572 +8538,911 @@ BN_MP_EXPTMOD_FAST_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C ++--->BN_MP_MULMOD_C +| +--->BN_MP_INIT_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C +| | +--->BN_S_MP_MUL_DIGS_C | | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_DIV_C | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C | | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -+--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLAMP_C ++--->BN_MP_SET_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C -BN_MP_TO_UNSIGNED_BIN_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C +BN_FAST_S_MP_MUL_HIGH_DIGS_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C -BN_MP_SET_INT_C -+--->BN_MP_ZERO_C -+--->BN_MP_MUL_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_RSHD_C +BN_REVERSE_C + + +BN_MP_PRIME_NEXT_PRIME_C ++--->BN_MP_CMP_D_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_SUB_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_ADD_D_C +| | +--->BN_MP_CLAMP_C | +--->BN_MP_CLAMP_C -+--->BN_MP_CLAMP_C - - -BN_MP_MOD_D_C -+--->BN_MP_DIV_D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_MOD_2D_C ++--->BN_MP_MOD_D_C +| +--->BN_MP_DIV_D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_DIV_3_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C | | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C ++--->BN_MP_INIT_C ++--->BN_MP_ADD_D_C +| +--->BN_MP_GROW_C | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C - - -BN_MP_SQR_C -+--->BN_MP_TOOM_SQR_C -| +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_ZERO_C ++--->BN_MP_PRIME_MILLER_RABIN_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_2_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C +| +--->BN_MP_CNT_LSB_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_3_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C +| +--->BN_MP_EXPTMOD_C +| | +--->BN_MP_INVMOD_C +| | | +--->BN_FAST_MP_INVMOD_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | +--->BN_MP_ABS_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_INVMOD_SLOW_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | +--->BN_MP_ABS_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_CLEAR_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_KARATSUBA_SQR_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| +--->BN_MP_ADD_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_C -+--->BN_FAST_S_MP_SQR_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_S_MP_SQR_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C - - -BN_MP_MULMOD_C -+--->BN_MP_INIT_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_ABS_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_REDUCE_IS_2K_L_C +| | +--->BN_S_MP_EXPTMOD_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_REDUCE_SETUP_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_REDUCE_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_REDUCE_2K_SETUP_L_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_REDUCE_2K_L_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_FAST_S_MP_SQR_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DR_IS_MODULUS_C +| | +--->BN_MP_REDUCE_IS_2K_C +| | | +--->BN_MP_REDUCE_2K_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_EXPTMOD_FAST_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_MONTGOMERY_SETUP_C +| | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C -+--->BN_MP_MOD_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_MONTGOMERY_REDUCE_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_DR_SETUP_C +| | | +--->BN_MP_DR_REDUCE_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C - - -BN_MP_DIV_2D_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_ZERO_C -+--->BN_MP_INIT_C -+--->BN_MP_MOD_2D_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C -+--->BN_MP_RSHD_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C - - -BN_S_MP_ADD_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_FAST_S_MP_SQR_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_S_MP_MUL_DIGS_C -+--->BN_FAST_S_MP_MUL_DIGS_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_XOR_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_RADIX_SMAP_C - - -BN_MP_DR_IS_MODULUS_C - - -BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_2EXPT_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_GROW_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_MUL_2_C -| +--->BN_MP_GROW_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C - - -BN_MP_SUB_C -+--->BN_S_MP_ADD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C - - -BN_MP_INIT_MULTI_C -+--->BN_MP_INIT_C -+--->BN_MP_CLEAR_C - - -BN_S_MP_MUL_HIGH_DIGS_C -+--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_PRIME_NEXT_PRIME_C -+--->BN_MP_CMP_D_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_SUB_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_ADD_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MOD_D_C -| +--->BN_MP_DIV_D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_INIT_C -+--->BN_MP_ADD_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_PRIME_MILLER_RABIN_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_CNT_LSB_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_EXPTMOD_C -| | +--->BN_MP_INVMOD_C -| | | +--->BN_FAST_MP_INVMOD_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_REDUCE_2K_SETUP_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | +--->BN_MP_ABS_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_REDUCE_2K_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MULMOD_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C | | | | | | | +--->BN_S_MP_ADD_C | | | | | | | | +--->BN_MP_GROW_C | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C | | | | | | | +--->BN_S_MP_SUB_C | | | | | | | | +--->BN_MP_GROW_C | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_SUB_C | | | | | | | +--->BN_S_MP_ADD_C | | | | | | | | +--->BN_MP_GROW_C | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C | | | | | | | +--->BN_S_MP_SUB_C | | | | | | | | +--->BN_MP_GROW_C | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_DIV_2_C | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_MUL_D_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_ADD_C | | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_INVMOD_SLOW_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_MOD_C | | | | | +--->BN_MP_DIV_C | | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_MP_COPY_C | | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | +--->BN_MP_ABS_C +| | | | | | +--->BN_MP_INIT_MULTI_C | | | | | | +--->BN_MP_MUL_2D_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_LSHD_C @@ -7608,8 +9464,6 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | | | | | +--->BN_MP_GROW_C | | | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | +--->BN_MP_CLEAR_C | | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_LSHD_C | | | | | | | +--->BN_MP_GROW_C @@ -7619,8 +9473,7 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_ADD_C | | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C @@ -7629,46 +9482,7 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_ABS_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_REDUCE_IS_2K_L_C -| | +--->BN_S_MP_EXPTMOD_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_REDUCE_SETUP_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_MOD_C | | | | +--->BN_MP_DIV_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_MP_COPY_C @@ -7705,100 +9519,163 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_FAST_S_MP_SQR_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_DIV_3_C | | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_KARATSUBA_MUL_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| +--->BN_MP_CMP_C +| | +--->BN_MP_CMP_MAG_C +| +--->BN_MP_SQRMOD_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_MOD_2D_C | | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_COPY_C | | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_SUB_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C @@ -7806,9 +9683,7 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C @@ -7816,290 +9691,475 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_DIV_2_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_2K_SETUP_L_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2D_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_2K_L_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C + + +BN_MP_TOOM_MUL_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_MOD_2D_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_RSHD_C +| +--->BN_MP_ZERO_C ++--->BN_MP_MUL_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_MUL_2_C +| +--->BN_MP_GROW_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_2D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_3_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_LSHD_C +| +--->BN_MP_GROW_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C + + +BN_MP_CNT_LSB_C + + +BN_MP_CLAMP_C + + +BN_MP_SUB_D_C ++--->BN_MP_GROW_C ++--->BN_MP_ADD_D_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLAMP_C + + +BN_MP_ADD_C ++--->BN_S_MP_ADD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C + + +BN_MP_REDUCE_2K_C ++--->BN_MP_INIT_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_S_MP_ADD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C + + +BN_MP_REDUCE_C ++--->BN_MP_REDUCE_SETUP_C +| +--->BN_MP_2EXPT_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_RSHD_C +| +--->BN_MP_ZERO_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_S_MP_MUL_HIGH_DIGS_C +| +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MOD_2D_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_S_MP_MUL_DIGS_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_D_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_LSHD_C +| +--->BN_MP_GROW_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_C +| +--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C + + +BN_MP_EXPTMOD_C ++--->BN_MP_INIT_C ++--->BN_MP_INVMOD_C +| +--->BN_FAST_MP_INVMOD_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_FAST_S_MP_SQR_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_RSHD_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_DR_IS_MODULUS_C -| | +--->BN_MP_REDUCE_IS_2K_C -| | | +--->BN_MP_REDUCE_2K_C -| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_MUL_D_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C @@ -8107,369 +10167,192 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_EXPTMOD_FAST_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_MONTGOMERY_SETUP_C -| | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_MONTGOMERY_REDUCE_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_DR_SETUP_C -| | | +--->BN_MP_DR_REDUCE_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_CMP_D_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_REDUCE_2K_SETUP_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_2K_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MULMOD_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_INVMOD_SLOW_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_RSHD_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_FAST_S_MP_SQR_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_CMP_D_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C ++--->BN_MP_ABS_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_CLEAR_MULTI_C ++--->BN_MP_REDUCE_IS_2K_L_C ++--->BN_S_MP_EXPTMOD_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_REDUCE_SETUP_C +| | +--->BN_MP_2EXPT_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_EXCH_C -| +--->BN_MP_CMP_C -| | +--->BN_MP_CMP_MAG_C -| +--->BN_MP_SQRMOD_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_REDUCE_C +| | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_MOD_2D_C | | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_COPY_C @@ -8477,8 +10360,6 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_COPY_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_MUL_2_C | | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_ADD_C @@ -8511,868 +10392,627 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_KARATSUBA_MUL_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_FAST_S_MP_SQR_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C - - -BN_MP_SIGNED_BIN_SIZE_C -+--->BN_MP_UNSIGNED_BIN_SIZE_C -| +--->BN_MP_COUNT_BITS_C - - -BN_MP_INVMOD_SLOW_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_MOD_C -| +--->BN_MP_INIT_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_DIV_2_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_C -| +--->BN_MP_CMP_MAG_C -+--->BN_MP_CMP_D_C -+--->BN_MP_CMP_MAG_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_CLEAR_C - - -BN_MP_LCM_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_GCD_C -| +--->BN_MP_ABS_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_CNT_LSB_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_MP_EXCH_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CMP_MAG_C -+--->BN_MP_DIV_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_SET_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_ABS_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_INIT_C -| +--->BN_MP_INIT_COPY_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C | | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_SUB_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C +| | +--->BN_MP_CMP_D_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C +| +--->BN_MP_REDUCE_2K_SETUP_L_C +| | +--->BN_MP_2EXPT_C +| | | +--->BN_MP_ZERO_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C +| +--->BN_MP_REDUCE_2K_L_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C | | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_CLEAR_C - - -BN_MP_REDUCE_2K_L_C -+--->BN_MP_INIT_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_CLAMP_C | +--->BN_MP_COPY_C | | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C +| +--->BN_MP_SQR_C +| | +--->BN_MP_TOOM_SQR_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | +--->BN_FAST_S_MP_SQR_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C +| | +--->BN_S_MP_SQR_C | | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_S_MP_ADD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C - - -BN_REVERSE_C - - -BN_MP_PRIME_IS_DIVISIBLE_C -+--->BN_MP_MOD_D_C -| +--->BN_MP_DIV_D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_KARATSUBA_MUL_C | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C - - -BN_MP_SET_C -+--->BN_MP_ZERO_C - - -BN_MP_GCD_C -+--->BN_MP_ABS_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_ZERO_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_CNT_LSB_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_CMP_MAG_C -+--->BN_MP_EXCH_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C - - -BN_MP_REDUCE_2K_SETUP_L_C -+--->BN_MP_INIT_C -+--->BN_MP_2EXPT_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_GROW_C -+--->BN_MP_COUNT_BITS_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C - - -BN_MP_READ_RADIX_C -+--->BN_MP_ZERO_C -+--->BN_MP_MUL_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_ADD_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_SUB_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C - - -BN_FAST_S_MP_MUL_HIGH_DIGS_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_FAST_MP_MONTGOMERY_REDUCE_C -+--->BN_MP_GROW_C -+--->BN_MP_RSHD_C -| +--->BN_MP_ZERO_C -+--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C - - -BN_MP_DIV_D_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_INIT_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_DIV_3_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C | +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_REDUCE_2K_SETUP_C -+--->BN_MP_INIT_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_2EXPT_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_GROW_C -+--->BN_MP_CLEAR_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C - - -BN_MP_INIT_SET_C -+--->BN_MP_INIT_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C - - -BN_MP_REDUCE_2K_C -+--->BN_MP_INIT_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_COPY_C ++--->BN_MP_DR_IS_MODULUS_C ++--->BN_MP_REDUCE_IS_2K_C +| +--->BN_MP_REDUCE_2K_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_COUNT_BITS_C ++--->BN_MP_EXPTMOD_FAST_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_MONTGOMERY_SETUP_C +| +--->BN_FAST_MP_MONTGOMERY_REDUCE_C | | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_MUL_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_S_MP_ADD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C - - -BN_ERROR_C - - -BN_MP_EXPT_D_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| +--->BN_MP_MONTGOMERY_REDUCE_C | | +--->BN_MP_GROW_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_SQR_C -| +--->BN_MP_TOOM_SQR_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| +--->BN_MP_DR_SETUP_C +| +--->BN_MP_DR_REDUCE_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| +--->BN_MP_REDUCE_2K_SETUP_C +| | +--->BN_MP_2EXPT_C | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_REDUCE_2K_C +| | +--->BN_MP_DIV_2D_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MUL_D_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| | +--->BN_MP_2EXPT_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_SET_C | | | +--->BN_MP_ZERO_C | | +--->BN_MP_MUL_2_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_MULMOD_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_ADD_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_DIV_C | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_SQR_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MUL_2D_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C - - -BN_S_MP_EXPTMOD_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_INIT_C -+--->BN_MP_CLEAR_C -+--->BN_MP_REDUCE_SETUP_C -| +--->BN_MP_2EXPT_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C | | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_REDUCE_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_SQR_C +| | +--->BN_MP_TOOM_SQR_C | | | +--->BN_MP_INIT_MULTI_C | | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_MUL_2_C | | | | +--->BN_MP_GROW_C | | | +--->BN_MP_ADD_C @@ -9407,106 +11047,32 @@ BN_S_MP_EXPTMOD_C | | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_KARATSUBA_MUL_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C +| | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_GROW_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | +--->BN_FAST_S_MP_SQR_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_S_MP_SQR_C | | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| +--->BN_S_MP_MUL_HIGH_DIGS_C -| | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_D_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| | +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_REDUCE_2K_SETUP_L_C -| +--->BN_MP_2EXPT_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_GROW_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_REDUCE_2K_L_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C | +--->BN_MP_MUL_C | | +--->BN_MP_TOOM_MUL_C | | | +--->BN_MP_INIT_MULTI_C | | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_MUL_2_C @@ -9543,22 +11109,17 @@ BN_S_MP_EXPTMOD_C | | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C | | +--->BN_MP_KARATSUBA_MUL_C | | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C | | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_RSHD_C @@ -9570,143 +11131,90 @@ BN_S_MP_EXPTMOD_C | | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C + + +BN_MP_LSHD_C ++--->BN_MP_GROW_C ++--->BN_MP_RSHD_C +| +--->BN_MP_ZERO_C + + +BN_MP_ADD_D_C ++--->BN_MP_GROW_C ++--->BN_MP_SUB_D_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLAMP_C + + +BN_MP_GET_LONG_C + + +BN_MP_GET_LONG_LONG_C + + +BN_MP_CLEAR_C + + +BN_MP_EXTEUCLID_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_DIV_C | +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C +| +--->BN_MP_MUL_2D_C | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C -+--->BN_MP_MOD_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C +| +--->BN_MP_CMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C | +--->BN_MP_ADD_C | | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C | | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_SQR_C -| +--->BN_MP_TOOM_SQR_C -| | +--->BN_MP_INIT_MULTI_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_INIT_C | | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_KARATSUBA_SQR_C -| | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_ADD_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_INIT_C +| +--->BN_MP_INIT_COPY_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_MUL_D_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +--->BN_MP_MUL_C | +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C | | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_CLAMP_C @@ -9742,76 +11250,63 @@ BN_S_MP_EXPTMOD_C | | | +--->BN_MP_CLAMP_C | | +--->BN_MP_DIV_3_C | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C | | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C | +--->BN_MP_KARATSUBA_MUL_C | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C | | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLEAR_C | +--->BN_FAST_S_MP_MUL_DIGS_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C | +--->BN_S_MP_MUL_DIGS_C | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_EXCH_C - - -BN_MP_ABS_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C - - -BN_MP_INIT_SET_INT_C -+--->BN_MP_INIT_C -+--->BN_MP_SET_INT_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C - - -BN_MP_SUB_D_C -+--->BN_MP_GROW_C -+--->BN_MP_ADD_D_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_NEG_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C -BN_MP_TO_SIGNED_BIN_C -+--->BN_MP_TO_UNSIGNED_BIN_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C +BN_MP_TORADIX_N_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_DIV_D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C | +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C | | +--->BN_MP_ZERO_C | | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C @@ -9819,21 +11314,28 @@ BN_MP_TO_SIGNED_BIN_C | | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C +| +--->BN_MP_DIV_3_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C | +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C -BN_MP_DIV_2_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_MP_REDUCE_IS_2K_C -+--->BN_MP_REDUCE_2K_C -| +--->BN_MP_INIT_C -| +--->BN_MP_COUNT_BITS_C +BN_MP_RADIX_SIZE_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_DIV_D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C | +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C | | +--->BN_MP_ZERO_C | | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C @@ -9841,185 +11343,85 @@ BN_MP_REDUCE_IS_2K_C | | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_3_C +| | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C | +--->BN_MP_CLEAR_C -+--->BN_MP_COUNT_BITS_C - - -BN_MP_INIT_SIZE_C -+--->BN_MP_INIT_C ++--->BN_MP_CLEAR_C -BN_MP_DIV_C -+--->BN_MP_CMP_MAG_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_ZERO_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_SET_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_ABS_C -+--->BN_MP_MUL_2D_C +BN_S_MP_MUL_HIGH_DIGS_C ++--->BN_FAST_S_MP_MUL_HIGH_DIGS_C | +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_INIT_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_RSHD_C | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_CLEAR_C +--->BN_MP_INIT_SIZE_C | +--->BN_MP_INIT_C -+--->BN_MP_INIT_C -+--->BN_MP_INIT_COPY_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -+--->BN_MP_RSHD_C -+--->BN_MP_MUL_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C +--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C +--->BN_MP_CLEAR_C -BN_MP_CLEAR_C - - -BN_MP_MONTGOMERY_REDUCE_C -+--->BN_FAST_MP_MONTGOMERY_REDUCE_C +BN_MP_SET_INT_C ++--->BN_MP_ZERO_C ++--->BN_MP_MUL_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C | +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_RSHD_C | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -+--->BN_MP_GROW_C +--->BN_MP_CLAMP_C -+--->BN_MP_RSHD_C -| +--->BN_MP_ZERO_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C -BN_MP_MUL_2_C -+--->BN_MP_GROW_C +BN_MP_DR_SETUP_C -BN_MP_UNSIGNED_BIN_SIZE_C -+--->BN_MP_COUNT_BITS_C +BN_MP_MUL_2_C ++--->BN_MP_GROW_C -BN_MP_ADDMOD_C -+--->BN_MP_INIT_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C -+--->BN_MP_MOD_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C +BN_MP_FWRITE_C ++--->BN_MP_RADIX_SIZE_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C | | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_ZERO_C | | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C | | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_TORADIX_C +| +--->BN_MP_INIT_COPY_C | | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C +| +--->BN_MP_DIV_D_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C - - -BN_MP_ADD_C -+--->BN_S_MP_ADD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C - - -BN_MP_TO_SIGNED_BIN_N_C -+--->BN_MP_SIGNED_BIN_SIZE_C -| +--->BN_MP_UNSIGNED_BIN_SIZE_C -| | +--->BN_MP_COUNT_BITS_C -+--->BN_MP_TO_SIGNED_BIN_C -| +--->BN_MP_TO_UNSIGNED_BIN_C -| | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C | | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C @@ -10027,71 +11429,92 @@ BN_MP_TO_SIGNED_BIN_N_C | | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C -BN_MP_REDUCE_IS_2K_L_C +BN_MP_GROW_C -BN_MP_RAND_C +BN_MP_READ_RADIX_C +--->BN_MP_ZERO_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C +--->BN_MP_ADD_D_C | +--->BN_MP_GROW_C | +--->BN_MP_SUB_D_C | | +--->BN_MP_CLAMP_C | +--->BN_MP_CLAMP_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C - -BN_MP_CNT_LSB_C - - -BN_MP_2EXPT_C -+--->BN_MP_ZERO_C -+--->BN_MP_GROW_C - -BN_MP_RSHD_C -+--->BN_MP_ZERO_C +BN_S_MP_MUL_DIGS_C ++--->BN_FAST_S_MP_MUL_DIGS_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C -BN_MP_SHRINK_C +BN_PRIME_TAB_C -BN_MP_TO_UNSIGNED_BIN_N_C -+--->BN_MP_UNSIGNED_BIN_SIZE_C -| +--->BN_MP_COUNT_BITS_C -+--->BN_MP_TO_UNSIGNED_BIN_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_2D_C +BN_MP_IS_SQUARE_C ++--->BN_MP_MOD_D_C +| +--->BN_MP_DIV_D_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C - - -BN_MP_REDUCE_C -+--->BN_MP_REDUCE_SETUP_C -| +--->BN_MP_2EXPT_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_SET_INT_C +| +--->BN_MP_INIT_C +| +--->BN_MP_SET_INT_C | | +--->BN_MP_ZERO_C -| | +--->BN_MP_GROW_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_MOD_C +| +--->BN_MP_INIT_C | +--->BN_MP_DIV_C | | +--->BN_MP_CMP_MAG_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_ZERO_C | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_INIT_C | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_SET_C | | +--->BN_MP_COUNT_BITS_C @@ -10117,7 +11540,6 @@ BN_MP_REDUCE_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C | | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_INIT_C | | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CLEAR_C @@ -10128,185 +11550,310 @@ BN_MP_REDUCE_C | | +--->BN_MP_CLEAR_MULTI_C | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_RSHD_C -| +--->BN_MP_ZERO_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_S_MP_MUL_HIGH_DIGS_C -| +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MOD_2D_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_S_MP_MUL_DIGS_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C | | +--->BN_MP_CLAMP_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C | +--->BN_MP_CLEAR_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_D_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_C -| +--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C - - -BN_MP_MUL_2D_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_GROW_C -+--->BN_MP_LSHD_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C -+--->BN_MP_CLAMP_C - - -BN_MP_GET_INT_C - - -BN_MP_JACOBI_C -+--->BN_MP_CMP_D_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_CNT_LSB_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C ++--->BN_MP_GET_INT_C ++--->BN_MP_SQRT_C +| +--->BN_MP_N_ROOT_C +| | +--->BN_MP_N_ROOT_EX_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_SET_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_EXPT_D_EX_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_SQR_C +| | | | | +--->BN_MP_TOOM_SQR_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_FAST_S_MP_SQR_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_SUB_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C | +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C | +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_MOD_C | +--->BN_MP_DIV_C | | +--->BN_MP_CMP_MAG_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C | | +--->BN_MP_INIT_MULTI_C | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_SET_C @@ -10315,7 +11862,6 @@ BN_MP_JACOBI_C | | +--->BN_MP_MUL_2D_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C | | +--->BN_MP_CMP_C | | +--->BN_MP_SUB_C @@ -10332,182 +11878,49 @@ BN_MP_JACOBI_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C | | +--->BN_MP_EXCH_C | | +--->BN_MP_CLEAR_MULTI_C | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C | | +--->BN_MP_MUL_D_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_CLEAR_MULTI_C -+--->BN_MP_CLEAR_C - - -BN_MP_MUL_C -+--->BN_MP_TOOM_MUL_C -| +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_2_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_3_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_KARATSUBA_MUL_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| +--->BN_MP_CLEAR_C -+--->BN_FAST_S_MP_MUL_DIGS_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_S_MP_MUL_DIGS_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C - - -BN_MP_EXTEUCLID_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_DIV_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_ABS_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C | +--->BN_MP_ADD_C | | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_INIT_C -| +--->BN_MP_INIT_COPY_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_MUL_D_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_2_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_MP_EXCH_C | +--->BN_MP_CLEAR_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C ++--->BN_MP_SQR_C +| +--->BN_MP_TOOM_SQR_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLEAR_C | | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C | | +--->BN_MP_RSHD_C | | | +--->BN_MP_ZERO_C | | +--->BN_MP_MUL_2_C @@ -10548,36 +11961,84 @@ BN_MP_EXTEUCLID_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_CLEAR_MULTI_C | | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_MUL_C +| +--->BN_MP_KARATSUBA_SQR_C | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C | | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C +| +--->BN_FAST_S_MP_SQR_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C +| +--->BN_S_MP_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_CMP_MAG_C ++--->BN_MP_CLEAR_C + + +BN_MP_COPY_C ++--->BN_MP_GROW_C + + +BN_MP_TOOM_SQR_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_MOD_2D_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_RSHD_C +| +--->BN_MP_ZERO_C ++--->BN_MP_SQR_C +| +--->BN_MP_KARATSUBA_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SQR_C | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C | | +--->BN_MP_CLEAR_C ++--->BN_MP_MUL_2_C +| +--->BN_MP_GROW_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +--->BN_MP_SUB_C | +--->BN_S_MP_ADD_C | | +--->BN_MP_GROW_C @@ -10586,207 +12047,269 @@ BN_MP_EXTEUCLID_C | +--->BN_S_MP_SUB_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -+--->BN_MP_NEG_C -+--->BN_MP_EXCH_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_2D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_3_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_LSHD_C +| +--->BN_MP_GROW_C +--->BN_MP_CLEAR_MULTI_C | +--->BN_MP_CLEAR_C -BN_MP_DR_REDUCE_C -+--->BN_MP_GROW_C +BN_MP_KARATSUBA_SQR_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C ++--->BN_MP_SQR_C +| +--->BN_MP_TOOM_SQR_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_GROW_C +| +--->BN_S_MP_SQR_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_S_MP_ADD_C +| +--->BN_MP_GROW_C +--->BN_S_MP_SUB_C - - -BN_MP_FREAD_C -+--->BN_MP_ZERO_C -+--->BN_MP_MUL_D_C | +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_ADD_D_C ++--->BN_MP_LSHD_C | +--->BN_MP_GROW_C -| +--->BN_MP_SUB_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_D_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C ++--->BN_MP_ADD_C +| +--->BN_MP_CMP_MAG_C ++--->BN_MP_CLEAR_C -BN_MP_REDUCE_SETUP_C -+--->BN_MP_2EXPT_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_GROW_C -+--->BN_MP_DIV_C -| +--->BN_MP_CMP_MAG_C +BN_MP_GCD_C ++--->BN_MP_ABS_C | +--->BN_MP_COPY_C | | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_SET_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_ABS_C -| +--->BN_MP_MUL_2D_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C ++--->BN_MP_CNT_LSB_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C | +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_INIT_C -| +--->BN_MP_INIT_COPY_C ++--->BN_MP_CMP_MAG_C ++--->BN_MP_EXCH_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_GROW_C | +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C | | +--->BN_MP_RSHD_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ZERO_C | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C -BN_MP_MONTGOMERY_SETUP_C +BN_MP_MOD_2D_C ++--->BN_MP_ZERO_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C -BN_MP_KARATSUBA_MUL_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C +BN_FAST_MP_MONTGOMERY_REDUCE_C ++--->BN_MP_GROW_C ++--->BN_MP_RSHD_C +| +--->BN_MP_ZERO_C ++--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C + + +BN_MP_SUBMOD_C ++--->BN_MP_INIT_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C ++--->BN_MP_MOD_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C | | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C | | +--->BN_MP_MUL_D_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C + + +BN_MP_GET_INT_C + + +BN_MP_SET_LONG_C + + +BN_MP_ADDMOD_C ++--->BN_MP_INIT_C +--->BN_MP_ADD_C | +--->BN_S_MP_ADD_C | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C | +--->BN_MP_CMP_MAG_C | +--->BN_S_MP_SUB_C | | +--->BN_MP_GROW_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLAMP_C +--->BN_MP_CLEAR_C ++--->BN_MP_MOD_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C -BN_MP_LSHD_C -+--->BN_MP_GROW_C -+--->BN_MP_RSHD_C -| +--->BN_MP_ZERO_C - - -BN_MP_PRIME_MILLER_RABIN_C +BN_MP_PRIME_FERMAT_C +--->BN_MP_CMP_D_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_SUB_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_ADD_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CNT_LSB_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C ++--->BN_MP_INIT_C +--->BN_MP_EXPTMOD_C | +--->BN_MP_INVMOD_C | | +--->BN_FAST_MP_INVMOD_C @@ -10821,10 +12344,18 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2D_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_CLEAR_MULTI_C | | | | | | +--->BN_MP_CLEAR_C | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_COPY_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C @@ -10835,6 +12366,7 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C @@ -10843,7 +12375,6 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_SET_C | | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_DIV_2_C @@ -10902,10 +12433,18 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2D_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_CLEAR_MULTI_C | | | | | | +--->BN_MP_CLEAR_C | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_COPY_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C @@ -10916,6 +12455,7 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C @@ -10924,7 +12464,6 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C | | | +--->BN_MP_SET_C @@ -10993,8 +12532,15 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C @@ -11004,6 +12550,10 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CLAMP_C | | +--->BN_MP_REDUCE_C +| | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_MUL_C @@ -11053,18 +12603,14 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | +--->BN_MP_KARATSUBA_MUL_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | +--->BN_FAST_S_MP_MUL_DIGS_C @@ -11129,6 +12675,15 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C | | +--->BN_MP_REDUCE_2K_L_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_MUL_C | | | | +--->BN_MP_TOOM_MUL_C | | | | | +--->BN_MP_INIT_MULTI_C @@ -11178,18 +12733,14 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | +--->BN_MP_KARATSUBA_MUL_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C @@ -11236,8 +12787,15 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C @@ -11246,6 +12804,7 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C | | | +--->BN_MP_ADD_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C @@ -11254,7 +12813,6 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_SQR_C @@ -11302,22 +12860,16 @@ BN_MP_PRIME_MILLER_RABIN_C | | | +--->BN_MP_KARATSUBA_SQR_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C | | | +--->BN_FAST_S_MP_SQR_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -11370,18 +12922,14 @@ BN_MP_PRIME_MILLER_RABIN_C | | | +--->BN_MP_KARATSUBA_MUL_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C @@ -11400,6 +12948,15 @@ BN_MP_PRIME_MILLER_RABIN_C | +--->BN_MP_REDUCE_IS_2K_C | | +--->BN_MP_REDUCE_2K_C | | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -11442,6 +12999,15 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C | | +--->BN_MP_REDUCE_2K_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -11514,18 +13080,14 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | +--->BN_MP_KARATSUBA_MUL_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C @@ -11565,8 +13127,15 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2D_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_COPY_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C @@ -11575,6 +13144,7 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C @@ -11583,7 +13153,6 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C | | +--->BN_MP_SET_C | | | +--->BN_MP_ZERO_C | | +--->BN_MP_MOD_C @@ -11613,8 +13182,15 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C @@ -11623,6 +13199,7 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C | | | +--->BN_MP_ADD_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C @@ -11631,7 +13208,6 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_SQR_C @@ -11679,22 +13255,16 @@ BN_MP_PRIME_MILLER_RABIN_C | | | +--->BN_MP_KARATSUBA_SQR_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C | | | +--->BN_FAST_S_MP_SQR_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -11747,18 +13317,14 @@ BN_MP_PRIME_MILLER_RABIN_C | | | +--->BN_MP_KARATSUBA_MUL_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C @@ -11773,141 +13339,18 @@ BN_MP_PRIME_MILLER_RABIN_C | | +--->BN_MP_EXCH_C +--->BN_MP_CMP_C | +--->BN_MP_CMP_MAG_C -+--->BN_MP_SQRMOD_C -| +--->BN_MP_SQR_C -| | +--->BN_MP_TOOM_SQR_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_KARATSUBA_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_FAST_S_MP_SQR_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_MOD_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_ABS_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C +--->BN_MP_CLEAR_C -BN_MP_DR_SETUP_C - - -BN_MP_CMP_MAG_C +BN_MP_REDUCE_2K_SETUP_L_C ++--->BN_MP_INIT_C ++--->BN_MP_2EXPT_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_GROW_C ++--->BN_MP_COUNT_BITS_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C diff --git a/libtommath/changes.txt b/libtommath/changes.txt index 4fc0913..d70d589 100644 --- a/libtommath/changes.txt +++ b/libtommath/changes.txt @@ -1,11 +1,32 @@ +Feb 5th, 2016 +v1.0.0 + -- Bump to 1.0.0 + -- Dirkjan Bussink provided a faster version of mp_expt_d() + -- Moritz Lenz contributed a fix to mp_mod() + and provided mp_get_long() and mp_set_long() + -- Fixed bugs in mp_read_radix(), mp_radix_size + Thanks to shameister, Gerhard R, + -- Christopher Brown provided mp_export() and mp_import() + -- Improvements in the code of mp_init_copy() + Thanks to ramkumarkoppu, + -- lomereiter provided mp_balance_mul() + -- Alexander Boström from the heimdal project contributed patches to + mp_prime_next_prime() and mp_invmod() and added a mp_isneg() macro + -- Fix build issues for Linux x32 ABI + -- Added mp_get_long_long() and mp_set_long_long() + -- Carlin provided a patch to use arc4random() instead of rand() + on platforms where it is supported + -- Karel Miko provided mp_sqrtmod_prime() + + July 23rd, 2010 v0.42.0 -- Fix for mp_prime_next_prime() bug when checking generated prime -- allow mp_shrink to shrink initialized, but empty MPI's - -- Added project and solution files for Visual Studio 2005 and Visual Studio 2008. + -- Added project and solution files for Visual Studio 2005 and Visual Studio 2008. March 10th, 2007 -v0.41 -- Wolfgang Ehrhardt suggested a quick fix to mp_div_d() which makes the detection of powers of two quicker. +v0.41 -- Wolfgang Ehrhardt suggested a quick fix to mp_div_d() which makes the detection of powers of two quicker. -- [CRI] Added libtommath.dsp for Visual C++ users. December 24th, 2006 @@ -22,11 +43,11 @@ v0.39 -- Jim Wigginton pointed out my Montgomery examples in figures 6.4 and 6. Jan 26th, 2006 v0.38 -- broken makefile.shared fixed -- removed some carry stores that were not required [updated text] - + November 18th, 2005 v0.37 -- [Don Porter] reported on a TCL list [HEY SEND ME BUGREPORTS ALREADY!!!] that mp_add_d() would compute -0 with some inputs. Fixed. -- [rinick@gmail.com] reported the makefile.bcc was messed up. Fixed. - -- [Kevin Kenny] reported some issues with mp_toradix_n(). Now it doesn't require a min of 3 chars of output. + -- [Kevin Kenny] reported some issues with mp_toradix_n(). Now it doesn't require a min of 3 chars of output. -- Made the make command renamable. Wee August 1st, 2005 @@ -36,8 +57,8 @@ v0.36 -- LTM_PRIME_2MSB_ON was fixed and the "OFF" flag was removed. -- Ported LTC patch to fix the prime_random_ex() function to get the bitsize correct [and the maskOR flags] -- Kevin Kenny pointed out a stray // -- David Hulton pointed out a typo in the textbook [mp_montgomery_setup() pseudo-code] - -- Neal Hamilton (Elliptic Semiconductor) pointed out that my Karatsuba notation was backwards and that I could use - unsigned operations in the routine. + -- Neal Hamilton (Elliptic Semiconductor) pointed out that my Karatsuba notation was backwards and that I could use + unsigned operations in the routine. -- Paul Schmidt pointed out a linking error in mp_exptmod() when BN_S_MP_EXPTMOD_C is undefined (and another for read_radix) -- Updated makefiles to be way more flexible @@ -48,7 +69,7 @@ v0.35 -- Stupid XOR function missing line again... oops. -- [Wolfgang Ehrhardt] Suggested a fix for mp_reduce() which avoided underruns. ;-) -- mp_rand() would emit one too many digits and it was possible to get a 0 out of it ... oops -- Added montgomery to the testing to make sure it handles 1..10 digit moduli correctly - -- Fixed bug in comba that would lead to possible erroneous outputs when "pa < digs" + -- Fixed bug in comba that would lead to possible erroneous outputs when "pa < digs" -- Fixed bug in mp_toradix_size for "0" [Kevin Kenny] -- Updated chapters 1-5 of the textbook ;-) It now talks about the new comba code! @@ -59,7 +80,7 @@ v0.34 -- Fixed two more small errors in mp_prime_random_ex() -- Added "large" diminished radix support. Speeds up things like DSA where the moduli is of the form 2^k - P for some P < 2^(k/2) or so Actually is faster than Montgomery on my AMD64 (and probably much faster on a P4) -- Updated the manual a bit - -- Ok so I haven't done the textbook work yet... My current freelance gig has landed me in France till the + -- Ok so I haven't done the textbook work yet... My current freelance gig has landed me in France till the end of Feb/05. Once I get back I'll have tons of free time and I plan to go to town on the book. As of this release the API will freeze. At least until the book catches up with all the changes. I welcome bug reports but new algorithms will have to wait. @@ -76,7 +97,7 @@ v0.33 -- Fixed "small" variant for mp_div() which would munge with negative div October 29th, 2004 v0.32 -- Added "makefile.shared" for shared object support -- Added more to the build options/configs in the manual - -- Started the Depends framework, wrote dep.pl to scan deps and + -- Started the Depends framework, wrote dep.pl to scan deps and produce "callgraph.txt" ;-) -- Wrote SC_RSA_1 which will enable close to the minimum required to perform RSA on 32-bit [or 64-bit] platforms with LibTomCrypt @@ -84,7 +105,7 @@ v0.32 -- Added "makefile.shared" for shared object support you want to use as your mp_div() at build time. Saves roughly 8KB or so. -- Renamed a few files and changed some comments to make depends system work better. (No changes to function names) - -- Merged in new Combas that perform 2 reads per inner loop instead of the older + -- Merged in new Combas that perform 2 reads per inner loop instead of the older 3reads/2writes per inner loop of the old code. Really though if you want speed learn to use TomsFastMath ;-) @@ -113,8 +134,8 @@ v0.30 -- Added "mp_toradix_n" which stores upto "n-1" least significant digits call. -- Removed /etclib directory [um LibTomPoly deprecates this]. -- Fixed mp_mod() so the sign of the result agrees with the sign of the modulus. - ++ N.B. My semester is almost up so expect updates to the textbook to be posted to the libtomcrypt.org - website. + ++ N.B. My semester is almost up so expect updates to the textbook to be posted to the libtomcrypt.org + website. Jan 25th, 2004 v0.29 ++ Note: "Henrik" from the v0.28 changelog refers to Henrik Goldman ;-) diff --git a/libtommath/demo/demo.c b/libtommath/demo/demo.c index 3e5663b..b46b7f8 100644 --- a/libtommath/demo/demo.c +++ b/libtommath/demo/demo.c @@ -1,3 +1,4 @@ +#include #include #ifdef IOWNANATHLON @@ -7,6 +8,28 @@ #define SLEEP #endif +/* + * Configuration + */ +#ifndef LTM_DEMO_TEST_VS_MTEST +#define LTM_DEMO_TEST_VS_MTEST 1 +#endif + +#ifndef LTM_DEMO_TEST_REDUCE_2K_L +/* This test takes a moment so we disable it by default, but it can be: + * 0 to disable testing + * 1 to make the test with P = 2^1024 - 0x2A434 B9FDEC95 D8F9D550 FFFFFFFF FFFFFFFF + * 2 to make the test with P = 2^2048 - 0x1 00000000 00000000 00000000 00000000 4945DDBF 8EA2A91D 5776399B B83E188F + */ +#define LTM_DEMO_TEST_REDUCE_2K_L 0 +#endif + +#ifdef LTM_DEMO_REAL_RAND +#define LTM_DEMO_RAND_SEED time(NULL) +#else +#define LTM_DEMO_RAND_SEED 23 +#endif + #include "tommath.h" void ndraw(mp_int * a, char *name) @@ -16,12 +39,16 @@ void ndraw(mp_int * a, char *name) printf("%s: ", name); mp_toradix(a, buf, 10); printf("%s\n", buf); + mp_toradix(a, buf, 16); + printf("0x%s\n", buf); } +#if LTM_DEMO_TEST_VS_MTEST static void draw(mp_int * a) { ndraw(a, ""); } +#endif unsigned long lfsr = 0xAAAAAAAAUL; @@ -37,183 +64,392 @@ int lbit(void) } } +#if defined(LTM_DEMO_REAL_RAND) && !defined(_WIN32) +static FILE* fd_urandom; +#endif int myrng(unsigned char *dst, int len, void *dat) { int x; - - for (x = 0; x < len; x++) - dst[x] = rand() & 0xFF; + (void)dat; +#if defined(LTM_DEMO_REAL_RAND) + if (!fd_urandom) { +#if !defined(_WIN32) + fprintf(stderr, "\nno /dev/urandom\n"); +#endif + } + else { + return fread(dst, 1, len, fd_urandom); + } +#endif + for (x = 0; x < len; ) { + unsigned int r = (unsigned int)rand(); + do { + dst[x++] = r & 0xFF; + r >>= 8; + } while((r != 0) && (x < len)); + } return len; } +#if LTM_DEMO_TEST_VS_MTEST != 0 +static void _panic(int l) +{ + fprintf(stderr, "\n%d: fgets failed\n", l); + exit(EXIT_FAILURE); +} +#endif + +mp_int a, b, c, d, e, f; + +static void _cleanup(void) +{ + mp_clear_multi(&a, &b, &c, &d, &e, &f, NULL); + printf("\n"); +#ifdef LTM_DEMO_REAL_RAND + if(fd_urandom) + fclose(fd_urandom); +#endif +} +struct mp_sqrtmod_prime_st { + unsigned long p; + unsigned long n; + mp_digit r; +}; +struct mp_sqrtmod_prime_st sqrtmod_prime[] = { + { 5, 14, 3 }, + { 7, 9, 4 }, + { 113, 2, 62 } +}; +struct mp_jacobi_st { + unsigned long n; + int c[16]; +}; +struct mp_jacobi_st jacobi[] = { + { 3, { 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1 } }, + { 5, { 0, 1, -1, -1, 1, 0, 1, -1, -1, 1, 0, 1, -1, -1, 1, 0 } }, + { 7, { 1, -1, 1, -1, -1, 0, 1, 1, -1, 1, -1, -1, 0, 1, 1, -1 } }, + { 9, { -1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1 } }, +}; char cmd[4096], buf[4096]; int main(void) { - mp_int a, b, c, d, e, f; - unsigned long expt_n, add_n, sub_n, mul_n, div_n, sqr_n, mul2d_n, div2d_n, - gcd_n, lcm_n, inv_n, div2_n, mul2_n, add_d_n, sub_d_n, t; unsigned rr; - int i, n, err, cnt, ix, old_kara_m, old_kara_s; + int cnt, ix; +#if LTM_DEMO_TEST_VS_MTEST + unsigned long expt_n, add_n, sub_n, mul_n, div_n, sqr_n, mul2d_n, div2d_n, + gcd_n, lcm_n, inv_n, div2_n, mul2_n, add_d_n, sub_d_n; + char* ret; +#else + unsigned long s, t; + unsigned long long q, r; mp_digit mp; + int i, n, err, should; +#endif + if (mp_init_multi(&a, &b, &c, &d, &e, &f, NULL)!= MP_OKAY) + return EXIT_FAILURE; - mp_init(&a); - mp_init(&b); - mp_init(&c); - mp_init(&d); - mp_init(&e); - mp_init(&f); - - srand(time(NULL)); - -#if 0 - // test montgomery - printf("Testing montgomery...\n"); - for (i = 1; i < 10; i++) { - printf("Testing digit size: %d\n", i); - for (n = 0; n < 1000; n++) { - mp_rand(&a, i); - a.dp[0] |= 1; + atexit(_cleanup); - // let's see if R is right - mp_montgomery_calc_normalization(&b, &a); - mp_montgomery_setup(&a, &mp); +#if defined(LTM_DEMO_REAL_RAND) + if (!fd_urandom) { + fd_urandom = fopen("/dev/urandom", "r"); + if (!fd_urandom) { +#if !defined(_WIN32) + fprintf(stderr, "\ncould not open /dev/urandom\n"); +#endif + } + } +#endif + srand(LTM_DEMO_RAND_SEED); - // now test a random reduction - for (ix = 0; ix < 100; ix++) { - mp_rand(&c, 1 + abs(rand()) % (2*i)); - mp_copy(&c, &d); - mp_copy(&c, &e); +#ifdef MP_8BIT + printf("Digit size 8 Bit \n"); +#endif +#ifdef MP_16BIT + printf("Digit size 16 Bit \n"); +#endif +#ifdef MP_32BIT + printf("Digit size 32 Bit \n"); +#endif +#ifdef MP_64BIT + printf("Digit size 64 Bit \n"); +#endif + printf("Size of mp_digit: %u\n", (unsigned int)sizeof(mp_digit)); + printf("Size of mp_word: %u\n", (unsigned int)sizeof(mp_word)); + printf("DIGIT_BIT: %d\n", DIGIT_BIT); + printf("MP_PREC: %d\n", MP_PREC); + +#if LTM_DEMO_TEST_VS_MTEST == 0 + // trivial stuff + mp_set_int(&a, 5); + mp_neg(&a, &b); + if (mp_cmp(&a, &b) != MP_GT) { + return EXIT_FAILURE; + } + if (mp_cmp(&b, &a) != MP_LT) { + return EXIT_FAILURE; + } + mp_neg(&a, &a); + if (mp_cmp(&b, &a) != MP_EQ) { + return EXIT_FAILURE; + } + mp_abs(&a, &b); + if (mp_isneg(&b) != MP_NO) { + return EXIT_FAILURE; + } + mp_add_d(&a, 1, &b); + mp_add_d(&a, 6, &b); - mp_mod(&d, &a, &d); - mp_montgomery_reduce(&c, &a, mp); - mp_mulmod(&c, &b, &a, &c); - if (mp_cmp(&c, &d) != MP_EQ) { -printf("d = e mod a, c = e MOD a\n"); -mp_todecimal(&a, buf); printf("a = %s\n", buf); -mp_todecimal(&e, buf); printf("e = %s\n", buf); -mp_todecimal(&d, buf); printf("d = %s\n", buf); -mp_todecimal(&c, buf); printf("c = %s\n", buf); -printf("compare no compare!\n"); exit(EXIT_FAILURE); } + mp_set_int(&a, 0); + mp_set_int(&b, 1); + if ((err = mp_jacobi(&a, &b, &i)) != MP_OKAY) { + printf("Failed executing mp_jacobi(0 | 1) %s.\n", mp_error_to_string(err)); + return EXIT_FAILURE; + } + if (i != 1) { + printf("Failed trivial mp_jacobi(0 | 1) %d != 1\n", i); + return EXIT_FAILURE; + } + for (cnt = 0; cnt < (int)(sizeof(jacobi)/sizeof(jacobi[0])); ++cnt) { + mp_set_int(&b, jacobi[cnt].n); + /* only test positive values of a */ + for (n = -5; n <= 10; ++n) { + mp_set_int(&a, abs(n)); + should = MP_OKAY; + if (n < 0) { + mp_neg(&a, &a); + /* Until #44 is fixed the negative a's must fail */ + should = MP_VAL; + } + if ((err = mp_jacobi(&a, &b, &i)) != should) { + printf("Failed executing mp_jacobi(%d | %lu) %s.\n", n, jacobi[cnt].n, mp_error_to_string(err)); + return EXIT_FAILURE; + } + if (err == MP_OKAY && i != jacobi[cnt].c[n + 5]) { + printf("Failed trivial mp_jacobi(%d | %lu) %d != %d\n", n, jacobi[cnt].n, i, jacobi[cnt].c[n + 5]); + return EXIT_FAILURE; } } } - printf("done\n"); // test mp_get_int - printf("Testing: mp_get_int\n"); + printf("\n\nTesting: mp_get_int"); for (i = 0; i < 1000; ++i) { - t = ((unsigned long) rand() * rand() + 1) & 0xFFFFFFFF; - mp_set_int(&a, t); - if (t != mp_get_int(&a)) { - printf("mp_get_int() bad result!\n"); - return 1; + t = ((unsigned long) rand () * rand () + 1) & 0xFFFFFFFF; + mp_set_int (&a, t); + if (t != mp_get_int (&a)) { + printf ("\nmp_get_int() bad result!"); + return EXIT_FAILURE; } } mp_set_int(&a, 0); if (mp_get_int(&a) != 0) { - printf("mp_get_int() bad result!\n"); - return 1; + printf("\nmp_get_int() bad result!"); + return EXIT_FAILURE; } mp_set_int(&a, 0xffffffff); if (mp_get_int(&a) != 0xffffffff) { - printf("mp_get_int() bad result!\n"); - return 1; + printf("\nmp_get_int() bad result!"); + return EXIT_FAILURE; } + + printf("\n\nTesting: mp_get_long\n"); + for (i = 0; i < (int)(sizeof(unsigned long)*CHAR_BIT) - 1; ++i) { + t = (1ULL << (i+1)) - 1; + if (!t) + t = -1; + printf(" t = 0x%lx i = %d\r", t, i); + do { + if (mp_set_long(&a, t) != MP_OKAY) { + printf("\nmp_set_long() error!"); + return EXIT_FAILURE; + } + s = mp_get_long(&a); + if (s != t) { + printf("\nmp_get_long() bad result! 0x%lx != 0x%lx", s, t); + return EXIT_FAILURE; + } + t <<= 1; + } while(t); + } + + printf("\n\nTesting: mp_get_long_long\n"); + for (i = 0; i < (int)(sizeof(unsigned long long)*CHAR_BIT) - 1; ++i) { + r = (1ULL << (i+1)) - 1; + if (!r) + r = -1; + printf(" r = 0x%llx i = %d\r", r, i); + do { + if (mp_set_long_long(&a, r) != MP_OKAY) { + printf("\nmp_set_long_long() error!"); + return EXIT_FAILURE; + } + q = mp_get_long_long(&a); + if (q != r) { + printf("\nmp_get_long_long() bad result! 0x%llx != 0x%llx", q, r); + return EXIT_FAILURE; + } + r <<= 1; + } while(r); + } + // test mp_sqrt - printf("Testing: mp_sqrt\n"); + printf("\n\nTesting: mp_sqrt\n"); for (i = 0; i < 1000; ++i) { - printf("%6d\r", i); - fflush(stdout); - n = (rand() & 15) + 1; - mp_rand(&a, n); - if (mp_sqrt(&a, &b) != MP_OKAY) { - printf("mp_sqrt() error!\n"); - return 1; + printf ("%6d\r", i); + fflush (stdout); + n = (rand () & 15) + 1; + mp_rand (&a, n); + if (mp_sqrt (&a, &b) != MP_OKAY) { + printf ("\nmp_sqrt() error!"); + return EXIT_FAILURE; + } + mp_n_root_ex (&a, 2, &c, 0); + mp_n_root_ex (&a, 2, &d, 1); + if (mp_cmp_mag (&c, &d) != MP_EQ) { + printf ("\nmp_n_root_ex() bad result!"); + return EXIT_FAILURE; } - mp_n_root(&a, 2, &a); - if (mp_cmp_mag(&b, &a) != MP_EQ) { - printf("mp_sqrt() bad result!\n"); - return 1; + if (mp_cmp_mag (&b, &c) != MP_EQ) { + printf ("mp_sqrt() bad result!\n"); + return EXIT_FAILURE; } } - printf("\nTesting: mp_is_square\n"); + printf("\n\nTesting: mp_is_square\n"); for (i = 0; i < 1000; ++i) { - printf("%6d\r", i); - fflush(stdout); + printf ("%6d\r", i); + fflush (stdout); /* test mp_is_square false negatives */ - n = (rand() & 7) + 1; - mp_rand(&a, n); - mp_sqr(&a, &a); - if (mp_is_square(&a, &n) != MP_OKAY) { - printf("fn:mp_is_square() error!\n"); - return 1; + n = (rand () & 7) + 1; + mp_rand (&a, n); + mp_sqr (&a, &a); + if (mp_is_square (&a, &n) != MP_OKAY) { + printf ("\nfn:mp_is_square() error!"); + return EXIT_FAILURE; } if (n == 0) { - printf("fn:mp_is_square() bad result!\n"); - return 1; + printf ("\nfn:mp_is_square() bad result!"); + return EXIT_FAILURE; } /* test for false positives */ - mp_add_d(&a, 1, &a); - if (mp_is_square(&a, &n) != MP_OKAY) { - printf("fp:mp_is_square() error!\n"); - return 1; + mp_add_d (&a, 1, &a); + if (mp_is_square (&a, &n) != MP_OKAY) { + printf ("\nfp:mp_is_square() error!"); + return EXIT_FAILURE; } if (n == 1) { - printf("fp:mp_is_square() bad result!\n"); - return 1; + printf ("\nfp:mp_is_square() bad result!"); + return EXIT_FAILURE; } } printf("\n\n"); + // r^2 = n (mod p) + for (i = 0; i < (int)(sizeof(sqrtmod_prime)/sizeof(sqrtmod_prime[0])); ++i) { + mp_set_int(&a, sqrtmod_prime[i].p); + mp_set_int(&b, sqrtmod_prime[i].n); + if (mp_sqrtmod_prime(&b, &a, &c) != MP_OKAY) { + printf("Failed executing %d. mp_sqrtmod_prime\n", (i+1)); + return EXIT_FAILURE; + } + if (mp_cmp_d(&c, sqrtmod_prime[i].r) != MP_EQ) { + printf("Failed %d. trivial mp_sqrtmod_prime\n", (i+1)); + ndraw(&c, "r"); + return EXIT_FAILURE; + } + } + /* test for size */ for (ix = 10; ix < 128; ix++) { - printf("Testing (not safe-prime): %9d bits \r", ix); - fflush(stdout); - err = - mp_prime_random_ex(&a, 8, ix, - (rand() & 1) ? LTM_PRIME_2MSB_OFF : - LTM_PRIME_2MSB_ON, myrng, NULL); + printf ("Testing (not safe-prime): %9d bits \r", ix); + fflush (stdout); + err = mp_prime_random_ex (&a, 8, ix, + (rand () & 1) ? 0 : LTM_PRIME_2MSB_ON, myrng, + NULL); if (err != MP_OKAY) { - printf("failed with err code %d\n", err); - return EXIT_FAILURE; + printf ("failed with err code %d\n", err); + return EXIT_FAILURE; } - if (mp_count_bits(&a) != ix) { - printf("Prime is %d not %d bits!!!\n", mp_count_bits(&a), ix); - return EXIT_FAILURE; + if (mp_count_bits (&a) != ix) { + printf ("Prime is %d not %d bits!!!\n", mp_count_bits (&a), ix); + return EXIT_FAILURE; } } + printf("\n"); for (ix = 16; ix < 128; ix++) { - printf("Testing ( safe-prime): %9d bits \r", ix); - fflush(stdout); - err = - mp_prime_random_ex(&a, 8, ix, - ((rand() & 1) ? LTM_PRIME_2MSB_OFF : - LTM_PRIME_2MSB_ON) | LTM_PRIME_SAFE, myrng, - NULL); + printf ("Testing ( safe-prime): %9d bits \r", ix); + fflush (stdout); + err = mp_prime_random_ex ( + &a, 8, ix, ((rand () & 1) ? 0 : LTM_PRIME_2MSB_ON) | LTM_PRIME_SAFE, + myrng, NULL); if (err != MP_OKAY) { - printf("failed with err code %d\n", err); - return EXIT_FAILURE; + printf ("failed with err code %d\n", err); + return EXIT_FAILURE; } - if (mp_count_bits(&a) != ix) { - printf("Prime is %d not %d bits!!!\n", mp_count_bits(&a), ix); - return EXIT_FAILURE; + if (mp_count_bits (&a) != ix) { + printf ("Prime is %d not %d bits!!!\n", mp_count_bits (&a), ix); + return EXIT_FAILURE; } /* let's see if it's really a safe prime */ - mp_sub_d(&a, 1, &a); - mp_div_2(&a, &a); - mp_prime_is_prime(&a, 8, &cnt); + mp_sub_d (&a, 1, &a); + mp_div_2 (&a, &a); + mp_prime_is_prime (&a, 8, &cnt); if (cnt != MP_YES) { - printf("sub is not prime!\n"); - return EXIT_FAILURE; + printf ("sub is not prime!\n"); + return EXIT_FAILURE; + } + } + + printf("\n\n"); + + // test montgomery + printf("Testing: montgomery...\n"); + for (i = 1; i <= 10; i++) { + if (i == 10) + i = 1000; + printf(" digit size: %2d\r", i); + fflush(stdout); + for (n = 0; n < 1000; n++) { + mp_rand(&a, i); + a.dp[0] |= 1; + + // let's see if R is right + mp_montgomery_calc_normalization(&b, &a); + mp_montgomery_setup(&a, &mp); + + // now test a random reduction + for (ix = 0; ix < 100; ix++) { + mp_rand(&c, 1 + abs(rand()) % (2*i)); + mp_copy(&c, &d); + mp_copy(&c, &e); + + mp_mod(&d, &a, &d); + mp_montgomery_reduce(&c, &a, mp); + mp_mulmod(&c, &b, &a, &c); + + if (mp_cmp(&c, &d) != MP_EQ) { +printf("d = e mod a, c = e MOD a\n"); +mp_todecimal(&a, buf); printf("a = %s\n", buf); +mp_todecimal(&e, buf); printf("e = %s\n", buf); +mp_todecimal(&d, buf); printf("d = %s\n", buf); +mp_todecimal(&c, buf); printf("c = %s\n", buf); +printf("compare no compare!\n"); return EXIT_FAILURE; } + /* only one big montgomery reduction */ + if (i > 10) + { + n = 1000; + ix = 100; + } + } } } @@ -239,120 +475,123 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } #endif /* test mp_cnt_lsb */ - printf("testing mp_cnt_lsb...\n"); + printf("\n\nTesting: mp_cnt_lsb"); mp_set(&a, 1); for (ix = 0; ix < 1024; ix++) { - if (mp_cnt_lsb(&a) != ix) { - printf("Failed at %d, %d\n", ix, mp_cnt_lsb(&a)); - return 0; + if (mp_cnt_lsb (&a) != ix) { + printf ("Failed at %d, %d\n", ix, mp_cnt_lsb (&a)); + return EXIT_FAILURE; } - mp_mul_2(&a, &a); + mp_mul_2 (&a, &a); } /* test mp_reduce_2k */ - printf("Testing mp_reduce_2k...\n"); + printf("\n\nTesting: mp_reduce_2k\n"); for (cnt = 3; cnt <= 128; ++cnt) { mp_digit tmp; - mp_2expt(&a, cnt); - mp_sub_d(&a, 2, &a); /* a = 2**cnt - 2 */ - + mp_2expt (&a, cnt); + mp_sub_d (&a, 2, &a); /* a = 2**cnt - 2 */ - printf("\nTesting %4d bits", cnt); - printf("(%d)", mp_reduce_is_2k(&a)); - mp_reduce_2k_setup(&a, &tmp); - printf("(%d)", tmp); + printf ("\r %4d bits", cnt); + printf ("(%d)", mp_reduce_is_2k (&a)); + mp_reduce_2k_setup (&a, &tmp); + printf ("(%lu)", (unsigned long) tmp); for (ix = 0; ix < 1000; ix++) { - if (!(ix & 127)) { - printf("."); - fflush(stdout); - } - mp_rand(&b, (cnt / DIGIT_BIT + 1) * 2); - mp_copy(&c, &b); - mp_mod(&c, &a, &c); - mp_reduce_2k(&b, &a, 2); - if (mp_cmp(&c, &b)) { - printf("FAILED\n"); - exit(0); - } + if (!(ix & 127)) { + printf ("."); + fflush (stdout); + } + mp_rand (&b, (cnt / DIGIT_BIT + 1) * 2); + mp_copy (&c, &b); + mp_mod (&c, &a, &c); + mp_reduce_2k (&b, &a, 2); + if (mp_cmp (&c, &b)) { + printf ("FAILED\n"); + return EXIT_FAILURE; + } } } /* test mp_div_3 */ - printf("Testing mp_div_3...\n"); + printf("\n\nTesting: mp_div_3...\n"); mp_set(&d, 3); for (cnt = 0; cnt < 10000;) { - mp_digit r1, r2; + mp_digit r2; if (!(++cnt & 127)) - printf("%9d\r", cnt); + { + printf("%9d\r", cnt); + fflush(stdout); + } mp_rand(&a, abs(rand()) % 128 + 1); mp_div(&a, &d, &b, &e); mp_div_3(&a, &c, &r2); if (mp_cmp(&b, &c) || mp_cmp_d(&e, r2)) { - printf("\n\nmp_div_3 => Failure\n"); + printf("\nmp_div_3 => Failure\n"); } } - printf("\n\nPassed div_3 testing\n"); + printf("\nPassed div_3 testing"); /* test the DR reduction */ - printf("testing mp_dr_reduce...\n"); + printf("\n\nTesting: mp_dr_reduce...\n"); for (cnt = 2; cnt < 32; cnt++) { - printf("%d digit modulus\n", cnt); - mp_grow(&a, cnt); - mp_zero(&a); + printf ("\r%d digit modulus", cnt); + mp_grow (&a, cnt); + mp_zero (&a); for (ix = 1; ix < cnt; ix++) { - a.dp[ix] = MP_MASK; + a.dp[ix] = MP_MASK; } a.used = cnt; a.dp[0] = 3; - mp_rand(&b, cnt - 1); - mp_copy(&b, &c); + mp_rand (&b, cnt - 1); + mp_copy (&b, &c); rr = 0; do { - if (!(rr & 127)) { - printf("%9lu\r", rr); - fflush(stdout); - } - mp_sqr(&b, &b); - mp_add_d(&b, 1, &b); - mp_copy(&b, &c); - - mp_mod(&b, &a, &b); - mp_dr_reduce(&c, &a, (((mp_digit) 1) << DIGIT_BIT) - a.dp[0]); + if (!(rr & 127)) { + printf ("."); + fflush (stdout); + } + mp_sqr (&b, &b); + mp_add_d (&b, 1, &b); + mp_copy (&b, &c); - if (mp_cmp(&b, &c) != MP_EQ) { - printf("Failed on trial %lu\n", rr); - exit(-1); + mp_mod (&b, &a, &b); + mp_dr_setup(&a, &mp), + mp_dr_reduce (&c, &a, mp); - } + if (mp_cmp (&b, &c) != MP_EQ) { + printf ("Failed on trial %u\n", rr); + return EXIT_FAILURE; + } } while (++rr < 500); - printf("Passed DR test for %d digits\n", cnt); + printf (" passed"); + fflush (stdout); } -#endif - +#if LTM_DEMO_TEST_REDUCE_2K_L /* test the mp_reduce_2k_l code */ -#if 0 -#if 0 +#if LTM_DEMO_TEST_REDUCE_2K_L == 1 /* first load P with 2^1024 - 0x2A434 B9FDEC95 D8F9D550 FFFFFFFF FFFFFFFF */ mp_2expt(&a, 1024); mp_read_radix(&b, "2A434B9FDEC95D8F9D550FFFFFFFFFFFFFFFF", 16); mp_sub(&a, &b, &a); -#elif 1 +#elif LTM_DEMO_TEST_REDUCE_2K_L == 2 /* p = 2^2048 - 0x1 00000000 00000000 00000000 00000000 4945DDBF 8EA2A91D 5776399B B83E188F */ mp_2expt(&a, 2048); mp_read_radix(&b, "1000000000000000000000000000000004945DDBF8EA2A91D5776399BB83E188F", 16); mp_sub(&a, &b, &a); +#else +#error oops #endif mp_todecimal(&a, buf); - printf("p==%s\n", buf); + printf("\n\np==%s\n", buf); /* now mp_reduce_is_2k_l() should return */ if (mp_reduce_is_2k_l(&a) != 1) { printf("mp_reduce_is_2k_l() return 0, should be 1\n"); @@ -363,9 +602,9 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } mp_rand(&b, 64); mp_mod(&b, &a, &b); mp_copy(&b, &c); - printf("testing mp_reduce_2k_l..."); + printf("Testing: mp_reduce_2k_l..."); fflush(stdout); - for (cnt = 0; cnt < (1UL << 20); cnt++) { + for (cnt = 0; cnt < (int)(1UL << 20); cnt++) { mp_sqr(&b, &b); mp_add_d(&b, 1, &b); mp_reduce_2k_l(&b, &a, &d); @@ -373,7 +612,7 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } mp_add_d(&c, 1, &c); mp_mod(&c, &a, &c); if (mp_cmp(&b, &c) != MP_EQ) { - printf("mp_reduce_2k_l() failed at step %lu\n", cnt); + printf("mp_reduce_2k_l() failed at step %d\n", cnt); mp_tohex(&b, buf); printf("b == %s\n", buf); mp_tohex(&c, buf); @@ -382,7 +621,9 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } } } printf("...Passed\n"); -#endif +#endif /* LTM_DEMO_TEST_REDUCE_2K_L */ + +#else div2_n = mul2_n = inv_n = expt_n = lcm_n = gcd_n = add_n = sub_n = mul_n = div_n = sqr_n = mul2d_n = div2d_n = cnt = add_d_n = @@ -428,17 +669,17 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } ("%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu ", add_n, sub_n, mul_n, div_n, sqr_n, mul2d_n, div2d_n, gcd_n, lcm_n, expt_n, inv_n, div2_n, mul2_n, add_d_n, sub_d_n); - fgets(cmd, 4095, stdin); + ret=fgets(cmd, 4095, stdin); if(!ret){_panic(__LINE__);} cmd[strlen(cmd) - 1] = 0; - printf("%s ]\r", cmd); + printf("%-6s ]\r", cmd); fflush(stdout); if (!strcmp(cmd, "mul2d")) { ++mul2d_n; - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} sscanf(buf, "%d", &rr); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&b, buf, 64); mp_mul_2d(&a, rr, &a); @@ -447,15 +688,15 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } printf("mul2d failed, rr == %d\n", rr); draw(&a); draw(&b); - return 0; + return EXIT_FAILURE; } } else if (!strcmp(cmd, "div2d")) { ++div2d_n; - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} sscanf(buf, "%d", &rr); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&b, buf, 64); mp_div_2d(&a, rr, &a, &e); @@ -467,15 +708,15 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } printf("div2d failed, rr == %d\n", rr); draw(&a); draw(&b); - return 0; + return EXIT_FAILURE; } } else if (!strcmp(cmd, "add")) { ++add_n; - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&c, buf, 64); mp_copy(&a, &d); mp_add(&d, &b, &d); @@ -485,7 +726,7 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } draw(&b); draw(&c); draw(&d); - return 0; + return EXIT_FAILURE; } /* test the sign/unsigned storage functions */ @@ -498,7 +739,7 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } printf("mp_signed_bin failure!\n"); draw(&c); draw(&d); - return 0; + return EXIT_FAILURE; } @@ -510,16 +751,16 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } printf("mp_unsigned_bin failure!\n"); draw(&c); draw(&d); - return 0; + return EXIT_FAILURE; } } else if (!strcmp(cmd, "sub")) { ++sub_n; - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&c, buf, 64); mp_copy(&a, &d); mp_sub(&d, &b, &d); @@ -529,15 +770,15 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } draw(&b); draw(&c); draw(&d); - return 0; + return EXIT_FAILURE; } } else if (!strcmp(cmd, "mul")) { ++mul_n; - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&c, buf, 64); mp_copy(&a, &d); mp_mul(&d, &b, &d); @@ -547,17 +788,17 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } draw(&b); draw(&c); draw(&d); - return 0; + return EXIT_FAILURE; } } else if (!strcmp(cmd, "div")) { ++div_n; - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&c, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&d, buf, 64); mp_div(&a, &b, &e, &f); @@ -570,14 +811,14 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } draw(&d); draw(&e); draw(&f); - return 0; + return EXIT_FAILURE; } } else if (!strcmp(cmd, "sqr")) { ++sqr_n; - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&b, buf, 64); mp_copy(&a, &c); mp_sqr(&c, &c); @@ -586,15 +827,15 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } draw(&a); draw(&b); draw(&c); - return 0; + return EXIT_FAILURE; } } else if (!strcmp(cmd, "gcd")) { ++gcd_n; - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&c, buf, 64); mp_copy(&a, &d); mp_gcd(&d, &b, &d); @@ -605,15 +846,15 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } draw(&b); draw(&c); draw(&d); - return 0; + return EXIT_FAILURE; } } else if (!strcmp(cmd, "lcm")) { ++lcm_n; - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&c, buf, 64); mp_copy(&a, &d); mp_lcm(&d, &b, &d); @@ -624,17 +865,17 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } draw(&b); draw(&c); draw(&d); - return 0; + return EXIT_FAILURE; } } else if (!strcmp(cmd, "expt")) { ++expt_n; - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&c, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&d, buf, 64); mp_copy(&a, &e); mp_exptmod(&e, &b, &c, &e); @@ -645,15 +886,15 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } draw(&c); draw(&d); draw(&e); - return 0; + return EXIT_FAILURE; } } else if (!strcmp(cmd, "invmod")) { ++inv_n; - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&c, buf, 64); mp_invmod(&a, &b, &d); mp_mulmod(&d, &a, &b, &e); @@ -663,16 +904,17 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } draw(&b); draw(&c); draw(&d); + draw(&e); mp_gcd(&a, &b, &e); draw(&e); - return 0; + return EXIT_FAILURE; } } else if (!strcmp(cmd, "div2")) { ++div2_n; - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&b, buf, 64); mp_div_2(&a, &c); if (mp_cmp(&c, &b) != MP_EQ) { @@ -680,13 +922,13 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } draw(&a); draw(&b); draw(&c); - return 0; + return EXIT_FAILURE; } } else if (!strcmp(cmd, "mul2")) { ++mul2_n; - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&b, buf, 64); mp_mul_2(&a, &c); if (mp_cmp(&c, &b) != MP_EQ) { @@ -694,15 +936,15 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } draw(&a); draw(&b); draw(&c); - return 0; + return EXIT_FAILURE; } } else if (!strcmp(cmd, "add_d")) { ++add_d_n; - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} sscanf(buf, "%d", &ix); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&b, buf, 64); mp_add_d(&a, ix, &c); if (mp_cmp(&b, &c) != MP_EQ) { @@ -711,15 +953,15 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } draw(&b); draw(&c); printf("d == %d\n", ix); - return 0; + return EXIT_FAILURE; } } else if (!strcmp(cmd, "sub_d")) { ++sub_d_n; - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} sscanf(buf, "%d", &ix); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&b, buf, 64); mp_sub_d(&a, ix, &c); if (mp_cmp(&b, &c) != MP_EQ) { @@ -728,13 +970,17 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } draw(&b); draw(&c); printf("d == %d\n", ix); - return 0; + return EXIT_FAILURE; } + } else if (!strcmp(cmd, "exit")) { + printf("\nokay, exiting now\n"); + break; } } +#endif return 0; } /* $Source$ */ -/* $Revision: 0.36 $ */ -/* $Date: 2005-08-01 16:37:28 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/demo/timing.c b/libtommath/demo/timing.c index 57bb6d4..1bd8489 100644 --- a/libtommath/demo/timing.c +++ b/libtommath/demo/timing.c @@ -1,5 +1,6 @@ #include #include +#include ulong64 _tt; @@ -10,6 +11,12 @@ ulong64 _tt; #define SLEEP #endif +#ifdef LTM_TIMING_REAL_RAND +#define LTM_TIMING_RAND_SEED time(NULL) +#else +#define LTM_TIMING_RAND_SEED 23 +#endif + void ndraw(mp_int * a, char *name) { @@ -44,10 +51,12 @@ static ulong64 TIMFUNC(void) { #if defined __GNUC__ #if defined(__i386__) || defined(__x86_64__) - unsigned long long a; - __asm__ __volatile__("rdtsc\nmovl %%eax,%0\nmovl %%edx,4+%0\n":: - "m"(a):"%eax", "%edx"); - return a; + /* version from http://www.mcs.anl.gov/~kazutomo/rdtsc.html + * the old code always got a warning issued by gcc, clang did not complain... + */ + unsigned hi, lo; + __asm__ __volatile__ ("rdtsc" : "=a"(lo), "=d"(hi)); + return ((ulong64)lo)|( ((ulong64)hi)<<32); #else /* gcc-IA64 version */ unsigned long result; __asm__ __volatile__("mov %0=ar.itc":"=r"(result)::"memory"); @@ -78,12 +87,24 @@ static ulong64 TIMFUNC(void) //#define DO8(x) DO4(x); DO4(x); //#define DO(x) DO8(x); DO8(x); +#ifdef TIMING_NO_LOGS +#define FOPEN(a, b) NULL +#define FPRINTF(a,b,c,d) +#define FFLUSH(a) +#define FCLOSE(a) (void)(a) +#else +#define FOPEN(a,b) fopen(a,b) +#define FPRINTF(a,b,c,d) fprintf(a,b,c,d) +#define FFLUSH(a) fflush(a) +#define FCLOSE(a) fclose(a) +#endif + int main(void) { ulong64 tt, gg, CLK_PER_SEC; FILE *log, *logb, *logc, *logd; mp_int a, b, c, d, e, f; - int n, cnt, ix, old_kara_m, old_kara_s; + int n, cnt, ix, old_kara_m, old_kara_s, old_toom_m, old_toom_s; unsigned rr; mp_init(&a); @@ -93,19 +114,15 @@ int main(void) mp_init(&e); mp_init(&f); - srand(time(NULL)); - + srand(LTM_TIMING_RAND_SEED); - /* temp. turn off TOOM */ - TOOM_MUL_CUTOFF = TOOM_SQR_CUTOFF = 100000; CLK_PER_SEC = TIMFUNC(); sleep(1); CLK_PER_SEC = TIMFUNC() - CLK_PER_SEC; printf("CLK_PER_SEC == %llu\n", CLK_PER_SEC); - goto exptmod; - log = fopen("logs/add.log", "w"); + log = FOPEN("logs/add.log", "w"); for (cnt = 8; cnt <= 128; cnt += 8) { SLEEP; mp_rand(&a, cnt); @@ -121,12 +138,12 @@ int main(void) } while (++rr < 100000); printf("Adding\t\t%4d-bit => %9llu/sec, %9llu cycles\n", mp_count_bits(&a), CLK_PER_SEC / tt, tt); - fprintf(log, "%d %9llu\n", cnt * DIGIT_BIT, tt); - fflush(log); + FPRINTF(log, "%d %9llu\n", cnt * DIGIT_BIT, tt); + FFLUSH(log); } - fclose(log); + FCLOSE(log); - log = fopen("logs/sub.log", "w"); + log = FOPEN("logs/sub.log", "w"); for (cnt = 8; cnt <= 128; cnt += 8) { SLEEP; mp_rand(&a, cnt); @@ -143,22 +160,26 @@ int main(void) printf("Subtracting\t\t%4d-bit => %9llu/sec, %9llu cycles\n", mp_count_bits(&a), CLK_PER_SEC / tt, tt); - fprintf(log, "%d %9llu\n", cnt * DIGIT_BIT, tt); - fflush(log); + FPRINTF(log, "%d %9llu\n", cnt * DIGIT_BIT, tt); + FFLUSH(log); } - fclose(log); + FCLOSE(log); /* do mult/square twice, first without karatsuba and second with */ - multtest: old_kara_m = KARATSUBA_MUL_CUTOFF; old_kara_s = KARATSUBA_SQR_CUTOFF; - for (ix = 0; ix < 2; ix++) { - printf("With%s Karatsuba\n", (ix == 0) ? "out" : ""); - - KARATSUBA_MUL_CUTOFF = (ix == 0) ? 9999 : old_kara_m; - KARATSUBA_SQR_CUTOFF = (ix == 0) ? 9999 : old_kara_s; - - log = fopen((ix == 0) ? "logs/mult.log" : "logs/mult_kara.log", "w"); + /* currently toom-cook cut-off is too high to kick in, so we just use the karatsuba values */ + old_toom_m = old_kara_m; + old_toom_s = old_kara_m; + for (ix = 0; ix < 3; ix++) { + printf("With%s Karatsuba, With%s Toom\n", (ix == 0) ? "out" : "", (ix == 1) ? "out" : ""); + + KARATSUBA_MUL_CUTOFF = (ix == 1) ? old_kara_m : 9999; + KARATSUBA_SQR_CUTOFF = (ix == 1) ? old_kara_s : 9999; + TOOM_MUL_CUTOFF = (ix == 2) ? old_toom_m : 9999; + TOOM_SQR_CUTOFF = (ix == 2) ? old_toom_s : 9999; + + log = FOPEN((ix == 0) ? "logs/mult.log" : (ix == 1) ? "logs/mult_kara.log" : "logs/mult_toom.log", "w"); for (cnt = 4; cnt <= 10240 / DIGIT_BIT; cnt += 2) { SLEEP; mp_rand(&a, cnt); @@ -174,12 +195,12 @@ int main(void) } while (++rr < 100); printf("Multiplying\t%4d-bit => %9llu/sec, %9llu cycles\n", mp_count_bits(&a), CLK_PER_SEC / tt, tt); - fprintf(log, "%d %9llu\n", mp_count_bits(&a), tt); - fflush(log); + FPRINTF(log, "%d %9llu\n", mp_count_bits(&a), tt); + FFLUSH(log); } - fclose(log); + FCLOSE(log); - log = fopen((ix == 0) ? "logs/sqr.log" : "logs/sqr_kara.log", "w"); + log = FOPEN((ix == 0) ? "logs/sqr.log" : (ix == 1) ? "logs/sqr_kara.log" : "logs/sqr_toom.log", "w"); for (cnt = 4; cnt <= 10240 / DIGIT_BIT; cnt += 2) { SLEEP; mp_rand(&a, cnt); @@ -194,13 +215,12 @@ int main(void) } while (++rr < 100); printf("Squaring\t%4d-bit => %9llu/sec, %9llu cycles\n", mp_count_bits(&a), CLK_PER_SEC / tt, tt); - fprintf(log, "%d %9llu\n", mp_count_bits(&a), tt); - fflush(log); + FPRINTF(log, "%d %9llu\n", mp_count_bits(&a), tt); + FFLUSH(log); } - fclose(log); + FCLOSE(log); } - exptmod: { char *primes[] = { @@ -235,10 +255,10 @@ int main(void) "1214855636816562637502584060163403830270705000634713483015101384881871978446801224798536155406895823305035467591632531067547890948695117172076954220727075688048751022421198712032848890056357845974246560748347918630050853933697792254955890439720297560693579400297062396904306270145886830719309296352765295712183040773146419022875165382778007040109957609739589875590885701126197906063620133954893216612678838507540777138437797705602453719559017633986486649523611975865005712371194067612263330335590526176087004421363598470302731349138773205901447704682181517904064735636518462452242791676541725292378925568296858010151852326316777511935037531017413910506921922450666933202278489024521263798482237150056835746454842662048692127173834433089016107854491097456725016327709663199738238442164843147132789153725513257167915555162094970853584447993125488607696008169807374736711297007473812256272245489405898470297178738029484459690836250560495461579533254473316340608217876781986188705928270735695752830825527963838355419762516246028680280988020401914551825487349990306976304093109384451438813251211051597392127491464898797406789175453067960072008590614886532333015881171367104445044718144312416815712216611576221546455968770801413440778423979", NULL }; - log = fopen("logs/expt.log", "w"); - logb = fopen("logs/expt_dr.log", "w"); - logc = fopen("logs/expt_2k.log", "w"); - logd = fopen("logs/expt_2kl.log", "w"); + log = FOPEN("logs/expt.log", "w"); + logb = FOPEN("logs/expt_dr.log", "w"); + logc = FOPEN("logs/expt_2k.log", "w"); + logd = FOPEN("logs/expt_2kl.log", "w"); for (n = 0; primes[n]; n++) { SLEEP; mp_read_radix(&a, primes[n], 10); @@ -271,17 +291,17 @@ int main(void) } printf("Exponentiating\t%4d-bit => %9llu/sec, %9llu cycles\n", mp_count_bits(&a), CLK_PER_SEC / tt, tt); - fprintf(n < 4 ? logd : (n < 9) ? logc : (n < 16) ? logb : log, + FPRINTF(n < 4 ? logd : (n < 9) ? logc : (n < 16) ? logb : log, "%d %9llu\n", mp_count_bits(&a), tt); } } - fclose(log); - fclose(logb); - fclose(logc); - fclose(logd); + FCLOSE(log); + FCLOSE(logb); + FCLOSE(logc); + FCLOSE(logd); - log = fopen("logs/invmod.log", "w"); - for (cnt = 4; cnt <= 128; cnt += 4) { + log = FOPEN("logs/invmod.log", "w"); + for (cnt = 4; cnt <= 32; cnt += 4) { SLEEP; mp_rand(&a, cnt); mp_rand(&b, cnt); @@ -307,13 +327,13 @@ int main(void) } printf("Inverting mod\t%4d-bit => %9llu/sec, %9llu cycles\n", mp_count_bits(&a), CLK_PER_SEC / tt, tt); - fprintf(log, "%d %9llu\n", cnt * DIGIT_BIT, tt); + FPRINTF(log, "%d %9llu\n", cnt * DIGIT_BIT, tt); } - fclose(log); + FCLOSE(log); return 0; } /* $Source$ */ -/* $Revision: 0.36 $ */ -/* $Date: 2005-08-01 16:37:28 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/dep.pl b/libtommath/dep.pl index c39e27e..0a5d19a 100644 --- a/libtommath/dep.pl +++ b/libtommath/dep.pl @@ -68,7 +68,7 @@ foreach my $filename (glob "bn*.c") { $line = $'; # now $& is the match, we want to skip over LTM keywords like # mp_int, mp_word, mp_digit - if (!($& eq "mp_digit") && !($& eq "mp_word") && !($& eq "mp_int")) { + if (!($& eq "mp_digit") && !($& eq "mp_word") && !($& eq "mp_int") && !($& eq "mp_min_u32")) { my $a = $&; $a =~ tr/[a-z]/[A-Z]/; $a = "BN_" . $a . "_C"; diff --git a/libtommath/etc/2kprime.c b/libtommath/etc/2kprime.c index fff4825..9450283 100644 --- a/libtommath/etc/2kprime.c +++ b/libtommath/etc/2kprime.c @@ -80,5 +80,5 @@ int main(void) /* $Source$ */ -/* $Revision: 0.36 $ */ -/* $Date: 2005-08-01 16:37:28 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/etc/drprime.c b/libtommath/etc/drprime.c index ea40bd3..c7d253f 100644 --- a/libtommath/etc/drprime.c +++ b/libtommath/etc/drprime.c @@ -60,5 +60,5 @@ int main(void) /* $Source$ */ -/* $Revision: 0.36 $ */ -/* $Date: 2005-08-01 16:37:28 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/etc/mersenne.c b/libtommath/etc/mersenne.c index 6f9eed2..ae6725a 100644 --- a/libtommath/etc/mersenne.c +++ b/libtommath/etc/mersenne.c @@ -140,5 +140,5 @@ main (void) } /* $Source$ */ -/* $Revision: 0.39 $ */ -/* $Date: 2006-04-06 19:49:59 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/etc/mont.c b/libtommath/etc/mont.c index 8356903..45cf3fd 100644 --- a/libtommath/etc/mont.c +++ b/libtommath/etc/mont.c @@ -46,5 +46,5 @@ int main(void) /* $Source$ */ -/* $Revision: 0.36 $ */ -/* $Date: 2005-08-01 16:37:28 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/etc/pprime.c b/libtommath/etc/pprime.c index d2d3a32..9f94423 100644 --- a/libtommath/etc/pprime.c +++ b/libtommath/etc/pprime.c @@ -396,5 +396,5 @@ main (void) } /* $Source$ */ -/* $Revision: 0.39 $ */ -/* $Date: 2006-04-06 19:49:59 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/etc/tune.c b/libtommath/etc/tune.c index 0094f19..c2ac998 100644 --- a/libtommath/etc/tune.c +++ b/libtommath/etc/tune.c @@ -6,18 +6,23 @@ #include /* how many times todo each size mult. Depends on your computer. For slow computers - * this can be low like 5 or 10. For fast [re: Athlon] should be 25 - 50 or so + * this can be low like 5 or 10. For fast [re: Athlon] should be 25 - 50 or so */ #define TIMES (1UL<<14UL) +#ifndef X86_TIMER + /* RDTSC from Scott Duplichan */ static ulong64 TIMFUNC (void) { #if defined __GNUC__ #if defined(__i386__) || defined(__x86_64__) - unsigned long long a; - __asm__ __volatile__ ("rdtsc\nmovl %%eax,%0\nmovl %%edx,4+%0\n"::"m"(a):"%eax","%edx"); - return a; + /* version from http://www.mcs.anl.gov/~kazutomo/rdtsc.html + * the old code always got a warning issued by gcc, clang did not complain... + */ + unsigned hi, lo; + __asm__ __volatile__ ("rdtsc" : "=a"(lo), "=d"(hi)); + return ((ulong64)lo)|( ((ulong64)hi)<<32); #else /* gcc-IA64 version */ unsigned long result; __asm__ __volatile__("mov %0=ar.itc" : "=r"(result) :: "memory"); @@ -42,8 +47,6 @@ static ulong64 TIMFUNC (void) } -#ifndef X86_TIMER - /* generic ISO C timer */ ulong64 LBL_T; void t_start(void) { LBL_T = TIMFUNC(); } @@ -67,7 +70,7 @@ ulong64 time_mult(int size, int s) mp_rand (&a, size); mp_rand (&b, size); - if (s == 1) { + if (s == 1) { KARATSUBA_MUL_CUTOFF = size; } else { KARATSUBA_MUL_CUTOFF = 100000; @@ -95,7 +98,7 @@ ulong64 time_sqr(int size, int s) mp_rand (&a, size); - if (s == 1) { + if (s == 1) { KARATSUBA_SQR_CUTOFF = size; } else { KARATSUBA_SQR_CUTOFF = 100000; @@ -117,7 +120,7 @@ main (void) ulong64 t1, t2; int x, y; - for (x = 8; ; x += 2) { + for (x = 8; ; x += 2) { t1 = time_mult(x, 0); t2 = time_mult(x, 1); printf("%d: %9llu %9llu, %9llu\n", x, t1, t2, t2 - t1); @@ -125,7 +128,7 @@ main (void) } y = x; - for (x = 8; ; x += 2) { + for (x = 8; ; x += 2) { t1 = time_sqr(x, 0); t2 = time_sqr(x, 1); printf("%d: %9llu %9llu, %9llu\n", x, t1, t2, t2 - t1); @@ -138,5 +141,5 @@ main (void) } /* $Source$ */ -/* $Revision: 0.39 $ */ -/* $Date: 2006-04-06 19:49:59 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/filter.pl b/libtommath/filter.pl new file mode 100755 index 0000000..a8a50c7 --- /dev/null +++ b/libtommath/filter.pl @@ -0,0 +1,34 @@ +#!/usr/bin/perl + +# we want to filter every between START_INS and END_INS out and then insert crap from another file (this is fun) + +$dst = shift; +$ins = shift; + +open(SRC,"<$dst"); +open(INS,"<$ins"); +open(TMP,">tmp.delme"); + +$l = 0; +while () { + if ($_ =~ /START_INS/) { + print TMP $_; + $l = 1; + while () { + print TMP $_; + } + close INS; + } elsif ($_ =~ /END_INS/) { + print TMP $_; + $l = 0; + } elsif ($l == 0) { + print TMP $_; + } +} + +close TMP; +close SRC; + +# $Source$ +# $Revision$ +# $Date$ diff --git a/libtommath/gen.pl b/libtommath/gen.pl index 7236591..57f65ac 100644 --- a/libtommath/gen.pl +++ b/libtommath/gen.pl @@ -14,4 +14,6 @@ foreach my $filename (glob "bn*.c") { close SRC or die "Error closing $filename after reading: $!"; } print OUT "\n/* EOF */\n"; -close OUT or die "Error closing mpi.c after writing: $!"; \ No newline at end of file +close OUT or die "Error closing mpi.c after writing: $!"; + +system('perl -pli -e "s/\s*$//" mpi.c'); diff --git a/libtommath/genlist.sh b/libtommath/genlist.sh new file mode 100755 index 0000000..1f53b66 --- /dev/null +++ b/libtommath/genlist.sh @@ -0,0 +1,8 @@ +#!/bin/bash + +export a=`find . -maxdepth 1 -type f -name '*.c' | sort | sed -e 'sE\./EE' | sed -e 's/\.c/\.o/' | xargs` +perl ./parsenames.pl OBJECTS "$a" + +# $Source$ +# $Revision$ +# $Date$ diff --git a/libtommath/libtommath_VS2005.sln b/libtommath/libtommath_VS2005.sln old mode 100755 new mode 100644 diff --git a/libtommath/libtommath_VS2005.vcproj b/libtommath/libtommath_VS2005.vcproj old mode 100755 new mode 100644 index 7162185..e92c7be --- a/libtommath/libtommath_VS2005.vcproj +++ b/libtommath/libtommath_VS2005.vcproj @@ -1,2803 +1,2847 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/libtommath/libtommath_VS2008.sln b/libtommath/libtommath_VS2008.sln old mode 100755 new mode 100644 diff --git a/libtommath/libtommath_VS2008.vcproj b/libtommath/libtommath_VS2008.vcproj old mode 100755 new mode 100644 index 205aec1..7503d22 --- a/libtommath/libtommath_VS2008.vcproj +++ b/libtommath/libtommath_VS2008.vcproj @@ -1,2805 +1,2813 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + 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+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/libtommath/makefile b/libtommath/makefile index 70de306..f90971c 100644 --- a/libtommath/makefile +++ b/libtommath/makefile @@ -2,98 +2,66 @@ # #Tom St Denis -#version of library -VERSION=0.42.0 - -CFLAGS += -I./ -Wall -W -Wshadow -Wsign-compare - -ifndef MAKE - MAKE=make -endif - -ifndef IGNORE_SPEED - -#for speed -CFLAGS += -O3 -funroll-loops - -#for size -#CFLAGS += -Os - -#x86 optimizations [should be valid for any GCC install though] -CFLAGS += -fomit-frame-pointer - -#debug -#CFLAGS += -g3 - -endif - -#install as this user -ifndef INSTALL_GROUP - GROUP=wheel +ifeq ($V,1) +silent= else - GROUP=$(INSTALL_GROUP) +silent=@ endif -ifndef INSTALL_USER - USER=root -else - USER=$(INSTALL_USER) +%.o: %.c +ifneq ($V,1) + @echo " * ${CC} $@" endif + ${silent} ${CC} -c ${CFLAGS} $^ -o $@ #default files to install ifndef LIBNAME LIBNAME=libtommath.a endif -default: ${LIBNAME} - -HEADERS=tommath.h tommath_class.h tommath_superclass.h - -#LIBPATH-The directory for libtommath to be installed to. -#INCPATH-The directory to install the header files for libtommath. -#DATAPATH-The directory to install the pdf docs. -DESTDIR= -LIBPATH=/usr/lib -INCPATH=/usr/include -DATAPATH=/usr/share/doc/libtommath/pdf - -OBJECTS=bncore.o bn_mp_init.o bn_mp_clear.o bn_mp_exch.o bn_mp_grow.o bn_mp_shrink.o \ -bn_mp_clamp.o bn_mp_zero.o bn_mp_set.o bn_mp_set_int.o bn_mp_init_size.o bn_mp_copy.o \ -bn_mp_init_copy.o bn_mp_abs.o bn_mp_neg.o bn_mp_cmp_mag.o bn_mp_cmp.o bn_mp_cmp_d.o \ -bn_mp_rshd.o bn_mp_lshd.o bn_mp_mod_2d.o bn_mp_div_2d.o bn_mp_mul_2d.o bn_mp_div_2.o \ -bn_mp_mul_2.o bn_s_mp_add.o bn_s_mp_sub.o bn_fast_s_mp_mul_digs.o bn_s_mp_mul_digs.o \ -bn_fast_s_mp_mul_high_digs.o bn_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_s_mp_sqr.o \ -bn_mp_add.o bn_mp_sub.o bn_mp_karatsuba_mul.o bn_mp_mul.o bn_mp_karatsuba_sqr.o \ -bn_mp_sqr.o bn_mp_div.o bn_mp_mod.o bn_mp_add_d.o bn_mp_sub_d.o bn_mp_mul_d.o \ -bn_mp_div_d.o bn_mp_mod_d.o bn_mp_expt_d.o bn_mp_addmod.o bn_mp_submod.o \ -bn_mp_mulmod.o bn_mp_sqrmod.o bn_mp_gcd.o bn_mp_lcm.o bn_fast_mp_invmod.o bn_mp_invmod.o \ -bn_mp_reduce.o bn_mp_montgomery_setup.o bn_fast_mp_montgomery_reduce.o bn_mp_montgomery_reduce.o \ -bn_mp_exptmod_fast.o bn_mp_exptmod.o bn_mp_2expt.o bn_mp_n_root.o bn_mp_jacobi.o bn_reverse.o \ -bn_mp_count_bits.o bn_mp_read_unsigned_bin.o bn_mp_read_signed_bin.o bn_mp_to_unsigned_bin.o \ -bn_mp_to_signed_bin.o bn_mp_unsigned_bin_size.o bn_mp_signed_bin_size.o \ -bn_mp_xor.o bn_mp_and.o bn_mp_or.o bn_mp_rand.o bn_mp_montgomery_calc_normalization.o \ -bn_mp_prime_is_divisible.o bn_prime_tab.o bn_mp_prime_fermat.o bn_mp_prime_miller_rabin.o \ -bn_mp_prime_is_prime.o bn_mp_prime_next_prime.o bn_mp_dr_reduce.o \ -bn_mp_dr_is_modulus.o bn_mp_dr_setup.o bn_mp_reduce_setup.o \ -bn_mp_toom_mul.o bn_mp_toom_sqr.o bn_mp_div_3.o bn_s_mp_exptmod.o \ -bn_mp_reduce_2k.o bn_mp_reduce_is_2k.o bn_mp_reduce_2k_setup.o \ -bn_mp_reduce_2k_l.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_2k_setup_l.o \ -bn_mp_radix_smap.o bn_mp_read_radix.o bn_mp_toradix.o bn_mp_radix_size.o \ -bn_mp_fread.o bn_mp_fwrite.o bn_mp_cnt_lsb.o bn_error.o \ -bn_mp_init_multi.o bn_mp_clear_multi.o bn_mp_exteuclid.o bn_mp_toradix_n.o \ -bn_mp_prime_random_ex.o bn_mp_get_int.o bn_mp_sqrt.o bn_mp_is_square.o bn_mp_init_set.o \ -bn_mp_init_set_int.o bn_mp_invmod_slow.o bn_mp_prime_rabin_miller_trials.o \ -bn_mp_to_signed_bin_n.o bn_mp_to_unsigned_bin_n.o +coverage: LIBNAME:=-Wl,--whole-archive $(LIBNAME) -Wl,--no-whole-archive + +include makefile.include + +LCOV_ARGS=--directory . + +#START_INS +OBJECTS=bncore.o bn_error.o bn_fast_mp_invmod.o bn_fast_mp_montgomery_reduce.o bn_fast_s_mp_mul_digs.o \ +bn_fast_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_mp_2expt.o bn_mp_abs.o bn_mp_add.o bn_mp_add_d.o \ +bn_mp_addmod.o bn_mp_and.o bn_mp_clamp.o bn_mp_clear.o bn_mp_clear_multi.o bn_mp_cmp.o bn_mp_cmp_d.o \ +bn_mp_cmp_mag.o bn_mp_cnt_lsb.o bn_mp_copy.o bn_mp_count_bits.o bn_mp_div_2.o bn_mp_div_2d.o bn_mp_div_3.o \ +bn_mp_div.o bn_mp_div_d.o bn_mp_dr_is_modulus.o bn_mp_dr_reduce.o bn_mp_dr_setup.o bn_mp_exch.o \ +bn_mp_export.o bn_mp_expt_d.o bn_mp_expt_d_ex.o bn_mp_exptmod.o bn_mp_exptmod_fast.o bn_mp_exteuclid.o \ +bn_mp_fread.o bn_mp_fwrite.o bn_mp_gcd.o bn_mp_get_int.o bn_mp_get_long.o bn_mp_get_long_long.o \ +bn_mp_grow.o bn_mp_import.o bn_mp_init.o bn_mp_init_copy.o bn_mp_init_multi.o bn_mp_init_set.o \ +bn_mp_init_set_int.o bn_mp_init_size.o bn_mp_invmod.o bn_mp_invmod_slow.o bn_mp_is_square.o \ +bn_mp_jacobi.o bn_mp_karatsuba_mul.o bn_mp_karatsuba_sqr.o bn_mp_lcm.o bn_mp_lshd.o bn_mp_mod_2d.o \ +bn_mp_mod.o bn_mp_mod_d.o bn_mp_montgomery_calc_normalization.o bn_mp_montgomery_reduce.o \ +bn_mp_montgomery_setup.o bn_mp_mul_2.o bn_mp_mul_2d.o bn_mp_mul.o bn_mp_mul_d.o bn_mp_mulmod.o bn_mp_neg.o \ +bn_mp_n_root.o bn_mp_n_root_ex.o bn_mp_or.o bn_mp_prime_fermat.o bn_mp_prime_is_divisible.o \ +bn_mp_prime_is_prime.o bn_mp_prime_miller_rabin.o bn_mp_prime_next_prime.o \ +bn_mp_prime_rabin_miller_trials.o bn_mp_prime_random_ex.o bn_mp_radix_size.o bn_mp_radix_smap.o \ +bn_mp_rand.o bn_mp_read_radix.o bn_mp_read_signed_bin.o bn_mp_read_unsigned_bin.o bn_mp_reduce_2k.o \ +bn_mp_reduce_2k_l.o bn_mp_reduce_2k_setup.o bn_mp_reduce_2k_setup_l.o bn_mp_reduce.o \ +bn_mp_reduce_is_2k.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_setup.o bn_mp_rshd.o bn_mp_set.o bn_mp_set_int.o \ +bn_mp_set_long.o bn_mp_set_long_long.o bn_mp_shrink.o bn_mp_signed_bin_size.o bn_mp_sqr.o bn_mp_sqrmod.o \ +bn_mp_sqrt.o bn_mp_sqrtmod_prime.o bn_mp_sub.o bn_mp_sub_d.o bn_mp_submod.o bn_mp_toom_mul.o \ +bn_mp_toom_sqr.o bn_mp_toradix.o bn_mp_toradix_n.o bn_mp_to_signed_bin.o bn_mp_to_signed_bin_n.o \ +bn_mp_to_unsigned_bin.o bn_mp_to_unsigned_bin_n.o bn_mp_unsigned_bin_size.o bn_mp_xor.o bn_mp_zero.o \ +bn_prime_tab.o bn_reverse.o bn_s_mp_add.o bn_s_mp_exptmod.o bn_s_mp_mul_digs.o bn_s_mp_mul_high_digs.o \ +bn_s_mp_sqr.o bn_s_mp_sub.o + +#END_INS $(LIBNAME): $(OBJECTS) $(AR) $(ARFLAGS) $@ $(OBJECTS) - ranlib $@ + $(RANLIB) $@ #make a profiled library (takes a while!!!) # # This will build the library with profile generation # then run the test demo and rebuild the library. -# +# # So far I've seen improvements in the MP math profiled: make CFLAGS="$(CFLAGS) -fprofile-arcs -DTESTING" timing @@ -101,35 +69,42 @@ profiled: rm -f *.a *.o ltmtest make CFLAGS="$(CFLAGS) -fbranch-probabilities" -#make a single object profiled library +#make a single object profiled library profiled_single: perl gen.pl $(CC) $(CFLAGS) -fprofile-arcs -DTESTING -c mpi.c -o mpi.o - $(CC) $(CFLAGS) -DTESTING -DTIMER demo/timing.c mpi.o -o ltmtest + $(CC) $(CFLAGS) -DTESTING -DTIMER demo/timing.c mpi.o -lgcov -o ltmtest ./ltmtest rm -f *.o ltmtest $(CC) $(CFLAGS) -fbranch-probabilities -DTESTING -c mpi.c -o mpi.o $(AR) $(ARFLAGS) $(LIBNAME) mpi.o - ranlib $(LIBNAME) + ranlib $(LIBNAME) install: $(LIBNAME) - install -d -g $(GROUP) -o $(USER) $(DESTDIR)$(LIBPATH) - install -d -g $(GROUP) -o $(USER) $(DESTDIR)$(INCPATH) - install -g $(GROUP) -o $(USER) $(LIBNAME) $(DESTDIR)$(LIBPATH) - install -g $(GROUP) -o $(USER) $(HEADERS) $(DESTDIR)$(INCPATH) + install -d $(DESTDIR)$(LIBPATH) + install -d $(DESTDIR)$(INCPATH) + install -m 644 $(LIBNAME) $(DESTDIR)$(LIBPATH) + install -m 644 $(HEADERS_PUB) $(DESTDIR)$(INCPATH) test: $(LIBNAME) demo/demo.o - $(CC) $(CFLAGS) demo/demo.o $(LIBNAME) -o test - -mtest: test - cd mtest ; $(CC) $(CFLAGS) mtest.c -o mtest - + $(CC) $(CFLAGS) demo/demo.o $(LIBNAME) $(LFLAGS) -o test + +test_standalone: $(LIBNAME) demo/demo.o + $(CC) $(CFLAGS) demo/demo.o $(LIBNAME) $(LFLAGS) -o test + +.PHONY: mtest +mtest: + cd mtest ; $(CC) $(CFLAGS) -O0 mtest.c $(LFLAGS) -o mtest + timing: $(LIBNAME) - $(CC) $(CFLAGS) -DTIMER demo/timing.c $(LIBNAME) -o ltmtest + $(CC) $(CFLAGS) -DTIMER demo/timing.c $(LIBNAME) $(LFLAGS) -o ltmtest + +coveralls: coverage + cpp-coveralls # makes the LTM book DVI file, requires tetex, perl and makeindex [part of tetex I think] docdvi: tommath.src - cd pics ; MAKE=${MAKE} ${MAKE} + cd pics ; MAKE=${MAKE} ${MAKE} echo "hello" > tommath.ind perl booker.pl latex tommath > /dev/null @@ -139,17 +114,37 @@ docdvi: tommath.src # poster, makes the single page PDF poster poster: poster.tex + cp poster.tex poster.bak + touch --reference=poster.tex poster.bak + (printf "%s" "\def\fixedpdfdate{"; date +'D:%Y%m%d%H%M%S%:z' -d @$$(stat --format=%Y poster.tex) | sed "s/:\([0-9][0-9]\)$$/'\1'}/g") > poster-deterministic.tex + printf "%s\n" "\pdfinfo{" >> poster-deterministic.tex + printf "%s\n" " /CreationDate (\fixedpdfdate)" >> poster-deterministic.tex + printf "%s\n}\n" " /ModDate (\fixedpdfdate)" >> poster-deterministic.tex + cat poster.tex >> poster-deterministic.tex + mv poster-deterministic.tex poster.tex + touch --reference=poster.bak poster.tex pdflatex poster - rm -f poster.aux poster.log + sed -b -i 's,^/ID \[.*\]$$,/ID [<0> <0>],g' poster.pdf + mv poster.bak poster.tex + rm -f poster.aux poster.log poster.out # makes the LTM book PDF file, requires tetex, cleans up the LaTeX temp files docs: docdvi dvipdf tommath rm -f tommath.log tommath.aux tommath.dvi tommath.idx tommath.toc tommath.lof tommath.ind tommath.ilg cd pics ; MAKE=${MAKE} ${MAKE} clean - + #LTM user manual mandvi: bn.tex + cp bn.tex bn.bak + touch --reference=bn.tex bn.bak + (printf "%s" "\def\fixedpdfdate{"; date +'D:%Y%m%d%H%M%S%:z' -d @$$(stat --format=%Y bn.tex) | sed "s/:\([0-9][0-9]\)$$/'\1'}/g") > bn-deterministic.tex + printf "%s\n" "\pdfinfo{" >> bn-deterministic.tex + printf "%s\n" " /CreationDate (\fixedpdfdate)" >> bn-deterministic.tex + printf "%s\n}\n" " /ModDate (\fixedpdfdate)" >> bn-deterministic.tex + cat bn.tex >> bn-deterministic.tex + mv bn-deterministic.tex bn.tex + touch --reference=bn.bak bn.tex echo "hello" > bn.ind latex bn > /dev/null latex bn > /dev/null @@ -159,28 +154,36 @@ mandvi: bn.tex #LTM user manual [pdf] manual: mandvi pdflatex bn >/dev/null + sed -b -i 's,^/ID \[.*\]$$,/ID [<0> <0>],g' bn.pdf + mv bn.bak bn.tex rm -f bn.aux bn.dvi bn.log bn.idx bn.lof bn.out bn.toc -pretty: +pretty: perl pretty.build -clean: - rm -f *.bat *.pdf *.o *.a *.obj *.lib *.exe *.dll etclib/*.o demo/demo.o test ltmtest mpitest mtest/mtest mtest/mtest.exe \ - *.idx *.toc *.log *.aux *.dvi *.lof *.ind *.ilg *.ps *.log *.s mpi.c *.da *.dyn *.dpi tommath.tex `find . -type f | grep [~] | xargs` *.lo *.la - rm -rf .libs - cd etc ; MAKE=${MAKE} ${MAKE} clean - cd pics ; MAKE=${MAKE} ${MAKE} clean - -#zipup the project (take that!) +#\zipup the project (take that!) no_oops: clean - cd .. ; cvs commit + cd .. ; cvs commit echo Scanning for scratch/dirty files find . -type f | grep -v CVS | xargs -n 1 bash mess.sh -zipup: clean manual poster docs - perl gen.pl ; mv mpi.c pre_gen/ ; \ - cd .. ; rm -rf ltm* libtommath-$(VERSION) ; mkdir libtommath-$(VERSION) ; \ - cp -R ./libtommath/* ./libtommath-$(VERSION)/ ; \ - tar -c libtommath-$(VERSION)/* | bzip2 -9vvc > ltm-$(VERSION).tar.bz2 ; \ - zip -9 -r ltm-$(VERSION).zip libtommath-$(VERSION)/* ; \ - mv -f ltm* ~ ; rm -rf libtommath-$(VERSION) +.PHONY: pre_gen +pre_gen: + perl gen.pl + sed -e 's/[[:blank:]]*$$//' mpi.c > pre_gen/mpi.c + rm mpi.c + +zipup: + rm -rf ../libtommath-$(VERSION) \ + && rm -f ../ltm-$(VERSION).zip ../ltm-$(VERSION).zip.asc ../ltm-$(VERSION).tar.xz ../ltm-$(VERSION).tar.xz.asc + git archive HEAD --prefix=libtommath-$(VERSION)/ > ../libtommath-$(VERSION).tar + cd .. ; tar xf libtommath-$(VERSION).tar + MAKE=${MAKE} ${MAKE} -C ../libtommath-$(VERSION) clean manual poster docs + tar -c ../libtommath-$(VERSION)/* | xz -9 > ../ltm-$(VERSION).tar.xz + find ../libtommath-$(VERSION)/ -type f -exec unix2dos -q {} \; + cd .. ; zip -9r ltm-$(VERSION).zip libtommath-$(VERSION) + gpg -b -a ../ltm-$(VERSION).tar.xz && gpg -b -a ../ltm-$(VERSION).zip + +new_file: + bash updatemakes.sh + perl dep.pl diff --git a/libtommath/makefile.bcc b/libtommath/makefile.bcc index 67743d9..a0cfd74 100644 --- a/libtommath/makefile.bcc +++ b/libtommath/makefile.bcc @@ -7,33 +7,35 @@ LIB = tlib CC = bcc32 CFLAGS = -c -O2 -I. -OBJECTS=bncore.obj bn_mp_init.obj bn_mp_clear.obj bn_mp_exch.obj bn_mp_grow.obj bn_mp_shrink.obj \ -bn_mp_clamp.obj bn_mp_zero.obj bn_mp_set.obj bn_mp_set_int.obj bn_mp_init_size.obj bn_mp_copy.obj \ -bn_mp_init_copy.obj bn_mp_abs.obj bn_mp_neg.obj bn_mp_cmp_mag.obj bn_mp_cmp.obj bn_mp_cmp_d.obj \ -bn_mp_rshd.obj bn_mp_lshd.obj bn_mp_mod_2d.obj bn_mp_div_2d.obj bn_mp_mul_2d.obj bn_mp_div_2.obj \ -bn_mp_mul_2.obj bn_s_mp_add.obj bn_s_mp_sub.obj bn_fast_s_mp_mul_digs.obj bn_s_mp_mul_digs.obj \ -bn_fast_s_mp_mul_high_digs.obj bn_s_mp_mul_high_digs.obj bn_fast_s_mp_sqr.obj bn_s_mp_sqr.obj \ -bn_mp_add.obj bn_mp_sub.obj bn_mp_karatsuba_mul.obj bn_mp_mul.obj bn_mp_karatsuba_sqr.obj \ -bn_mp_sqr.obj bn_mp_div.obj bn_mp_mod.obj bn_mp_add_d.obj bn_mp_sub_d.obj bn_mp_mul_d.obj \ -bn_mp_div_d.obj bn_mp_mod_d.obj bn_mp_expt_d.obj bn_mp_addmod.obj bn_mp_submod.obj \ -bn_mp_mulmod.obj bn_mp_sqrmod.obj bn_mp_gcd.obj bn_mp_lcm.obj bn_fast_mp_invmod.obj bn_mp_invmod.obj \ -bn_mp_reduce.obj bn_mp_montgomery_setup.obj bn_fast_mp_montgomery_reduce.obj bn_mp_montgomery_reduce.obj \ -bn_mp_exptmod_fast.obj bn_mp_exptmod.obj bn_mp_2expt.obj bn_mp_n_root.obj bn_mp_jacobi.obj bn_reverse.obj \ -bn_mp_count_bits.obj bn_mp_read_unsigned_bin.obj bn_mp_read_signed_bin.obj bn_mp_to_unsigned_bin.obj \ -bn_mp_to_signed_bin.obj bn_mp_unsigned_bin_size.obj bn_mp_signed_bin_size.obj \ -bn_mp_xor.obj bn_mp_and.obj bn_mp_or.obj bn_mp_rand.obj bn_mp_montgomery_calc_normalization.obj \ -bn_mp_prime_is_divisible.obj bn_prime_tab.obj bn_mp_prime_fermat.obj bn_mp_prime_miller_rabin.obj \ -bn_mp_prime_is_prime.obj bn_mp_prime_next_prime.obj bn_mp_dr_reduce.obj \ -bn_mp_dr_is_modulus.obj bn_mp_dr_setup.obj bn_mp_reduce_setup.obj \ -bn_mp_toom_mul.obj bn_mp_toom_sqr.obj bn_mp_div_3.obj bn_s_mp_exptmod.obj \ -bn_mp_reduce_2k.obj bn_mp_reduce_is_2k.obj bn_mp_reduce_2k_setup.obj \ -bn_mp_reduce_2k_l.obj bn_mp_reduce_is_2k_l.obj bn_mp_reduce_2k_setup_l.obj \ -bn_mp_radix_smap.obj bn_mp_read_radix.obj bn_mp_toradix.obj bn_mp_radix_size.obj \ -bn_mp_fread.obj bn_mp_fwrite.obj bn_mp_cnt_lsb.obj bn_error.obj \ -bn_mp_init_multi.obj bn_mp_clear_multi.obj bn_mp_exteuclid.obj bn_mp_toradix_n.obj \ -bn_mp_prime_random_ex.obj bn_mp_get_int.obj bn_mp_sqrt.obj bn_mp_is_square.obj \ -bn_mp_init_set.obj bn_mp_init_set_int.obj bn_mp_invmod_slow.obj bn_mp_prime_rabin_miller_trials.obj \ -bn_mp_to_signed_bin_n.obj bn_mp_to_unsigned_bin_n.obj +#START_INS +OBJECTS=bncore.obj bn_error.obj bn_fast_mp_invmod.obj bn_fast_mp_montgomery_reduce.obj bn_fast_s_mp_mul_digs.obj \ +bn_fast_s_mp_mul_high_digs.obj bn_fast_s_mp_sqr.obj bn_mp_2expt.obj bn_mp_abs.obj bn_mp_add.obj bn_mp_add_d.obj \ +bn_mp_addmod.obj bn_mp_and.obj bn_mp_clamp.obj bn_mp_clear.obj bn_mp_clear_multi.obj bn_mp_cmp.obj bn_mp_cmp_d.obj \ +bn_mp_cmp_mag.obj bn_mp_cnt_lsb.obj bn_mp_copy.obj bn_mp_count_bits.obj bn_mp_div_2.obj bn_mp_div_2d.obj bn_mp_div_3.obj \ +bn_mp_div.obj bn_mp_div_d.obj bn_mp_dr_is_modulus.obj bn_mp_dr_reduce.obj bn_mp_dr_setup.obj bn_mp_exch.obj \ +bn_mp_export.obj bn_mp_expt_d.obj bn_mp_expt_d_ex.obj bn_mp_exptmod.obj bn_mp_exptmod_fast.obj bn_mp_exteuclid.obj \ +bn_mp_fread.obj bn_mp_fwrite.obj bn_mp_gcd.obj bn_mp_get_int.obj bn_mp_get_long.obj bn_mp_get_long_long.obj \ +bn_mp_grow.obj bn_mp_import.obj bn_mp_init.obj bn_mp_init_copy.obj bn_mp_init_multi.obj bn_mp_init_set.obj \ +bn_mp_init_set_int.obj bn_mp_init_size.obj bn_mp_invmod.obj bn_mp_invmod_slow.obj bn_mp_is_square.obj \ +bn_mp_jacobi.obj bn_mp_karatsuba_mul.obj bn_mp_karatsuba_sqr.obj bn_mp_lcm.obj bn_mp_lshd.obj bn_mp_mod_2d.obj \ +bn_mp_mod.obj bn_mp_mod_d.obj bn_mp_montgomery_calc_normalization.obj bn_mp_montgomery_reduce.obj \ +bn_mp_montgomery_setup.obj bn_mp_mul_2.obj bn_mp_mul_2d.obj bn_mp_mul.obj bn_mp_mul_d.obj bn_mp_mulmod.obj bn_mp_neg.obj \ +bn_mp_n_root.obj bn_mp_n_root_ex.obj bn_mp_or.obj bn_mp_prime_fermat.obj bn_mp_prime_is_divisible.obj \ +bn_mp_prime_is_prime.obj bn_mp_prime_miller_rabin.obj bn_mp_prime_next_prime.obj \ +bn_mp_prime_rabin_miller_trials.obj bn_mp_prime_random_ex.obj bn_mp_radix_size.obj bn_mp_radix_smap.obj \ +bn_mp_rand.obj bn_mp_read_radix.obj bn_mp_read_signed_bin.obj bn_mp_read_unsigned_bin.obj bn_mp_reduce_2k.obj \ +bn_mp_reduce_2k_l.obj bn_mp_reduce_2k_setup.obj bn_mp_reduce_2k_setup_l.obj bn_mp_reduce.obj \ +bn_mp_reduce_is_2k.obj bn_mp_reduce_is_2k_l.obj bn_mp_reduce_setup.obj bn_mp_rshd.obj bn_mp_set.obj bn_mp_set_int.obj \ +bn_mp_set_long.obj bn_mp_set_long_long.obj bn_mp_shrink.obj bn_mp_signed_bin_size.obj bn_mp_sqr.obj bn_mp_sqrmod.obj \ +bn_mp_sqrt.obj bn_mp_sqrtmod_prime.obj bn_mp_sub.obj bn_mp_sub_d.obj bn_mp_submod.obj bn_mp_toom_mul.obj \ +bn_mp_toom_sqr.obj bn_mp_toradix.obj bn_mp_toradix_n.obj bn_mp_to_signed_bin.obj bn_mp_to_signed_bin_n.obj \ +bn_mp_to_unsigned_bin.obj bn_mp_to_unsigned_bin_n.obj bn_mp_unsigned_bin_size.obj bn_mp_xor.obj bn_mp_zero.obj \ +bn_prime_tab.obj bn_reverse.obj bn_s_mp_add.obj bn_s_mp_exptmod.obj bn_s_mp_mul_digs.obj bn_s_mp_mul_high_digs.obj \ +bn_s_mp_sqr.obj bn_s_mp_sub.obj + +#END_INS + +HEADERS=tommath.h tommath_class.h tommath_superclass.h TARGET = libtommath.lib diff --git a/libtommath/makefile.cygwin_dll b/libtommath/makefile.cygwin_dll index 85a9b20..6feb5b4 100644 --- a/libtommath/makefile.cygwin_dll +++ b/libtommath/makefile.cygwin_dll @@ -8,37 +8,39 @@ CFLAGS += -I./ -Wall -W -Wshadow -O3 -funroll-loops -mno-cygwin #x86 optimizations [should be valid for any GCC install though] -CFLAGS += -fomit-frame-pointer +CFLAGS += -fomit-frame-pointer default: windll -OBJECTS=bncore.o bn_mp_init.o bn_mp_clear.o bn_mp_exch.o bn_mp_grow.o bn_mp_shrink.o \ -bn_mp_clamp.o bn_mp_zero.o bn_mp_set.o bn_mp_set_int.o bn_mp_init_size.o bn_mp_copy.o \ -bn_mp_init_copy.o bn_mp_abs.o bn_mp_neg.o bn_mp_cmp_mag.o bn_mp_cmp.o bn_mp_cmp_d.o \ -bn_mp_rshd.o bn_mp_lshd.o bn_mp_mod_2d.o bn_mp_div_2d.o bn_mp_mul_2d.o bn_mp_div_2.o \ -bn_mp_mul_2.o bn_s_mp_add.o bn_s_mp_sub.o bn_fast_s_mp_mul_digs.o bn_s_mp_mul_digs.o \ -bn_fast_s_mp_mul_high_digs.o bn_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_s_mp_sqr.o \ -bn_mp_add.o bn_mp_sub.o bn_mp_karatsuba_mul.o bn_mp_mul.o bn_mp_karatsuba_sqr.o \ -bn_mp_sqr.o bn_mp_div.o bn_mp_mod.o bn_mp_add_d.o bn_mp_sub_d.o bn_mp_mul_d.o \ -bn_mp_div_d.o bn_mp_mod_d.o bn_mp_expt_d.o bn_mp_addmod.o bn_mp_submod.o \ -bn_mp_mulmod.o bn_mp_sqrmod.o bn_mp_gcd.o bn_mp_lcm.o bn_fast_mp_invmod.o bn_mp_invmod.o \ -bn_mp_reduce.o bn_mp_montgomery_setup.o bn_fast_mp_montgomery_reduce.o bn_mp_montgomery_reduce.o \ -bn_mp_exptmod_fast.o bn_mp_exptmod.o bn_mp_2expt.o bn_mp_n_root.o bn_mp_jacobi.o bn_reverse.o \ -bn_mp_count_bits.o bn_mp_read_unsigned_bin.o bn_mp_read_signed_bin.o bn_mp_to_unsigned_bin.o \ -bn_mp_to_signed_bin.o bn_mp_unsigned_bin_size.o bn_mp_signed_bin_size.o \ -bn_mp_xor.o bn_mp_and.o bn_mp_or.o bn_mp_rand.o bn_mp_montgomery_calc_normalization.o \ -bn_mp_prime_is_divisible.o bn_prime_tab.o bn_mp_prime_fermat.o bn_mp_prime_miller_rabin.o \ -bn_mp_prime_is_prime.o bn_mp_prime_next_prime.o bn_mp_dr_reduce.o \ -bn_mp_dr_is_modulus.o bn_mp_dr_setup.o bn_mp_reduce_setup.o \ -bn_mp_toom_mul.o bn_mp_toom_sqr.o bn_mp_div_3.o bn_s_mp_exptmod.o \ -bn_mp_reduce_2k.o bn_mp_reduce_is_2k.o bn_mp_reduce_2k_setup.o \ -bn_mp_reduce_2k_l.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_2k_setup_l.o \ -bn_mp_radix_smap.o bn_mp_read_radix.o bn_mp_toradix.o bn_mp_radix_size.o \ -bn_mp_fread.o bn_mp_fwrite.o bn_mp_cnt_lsb.o bn_error.o \ -bn_mp_init_multi.o bn_mp_clear_multi.o bn_mp_exteuclid.o bn_mp_toradix_n.o \ -bn_mp_prime_random_ex.o bn_mp_get_int.o bn_mp_sqrt.o bn_mp_is_square.o bn_mp_init_set.o \ -bn_mp_init_set_int.o bn_mp_invmod_slow.o bn_mp_prime_rabin_miller_trials.o \ -bn_mp_to_signed_bin_n.o bn_mp_to_unsigned_bin_n.o +#START_INS +OBJECTS=bncore.o bn_error.o bn_fast_mp_invmod.o bn_fast_mp_montgomery_reduce.o bn_fast_s_mp_mul_digs.o \ +bn_fast_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_mp_2expt.o bn_mp_abs.o bn_mp_add.o bn_mp_add_d.o \ +bn_mp_addmod.o bn_mp_and.o bn_mp_clamp.o bn_mp_clear.o bn_mp_clear_multi.o bn_mp_cmp.o bn_mp_cmp_d.o \ +bn_mp_cmp_mag.o bn_mp_cnt_lsb.o bn_mp_copy.o bn_mp_count_bits.o bn_mp_div_2.o bn_mp_div_2d.o bn_mp_div_3.o \ +bn_mp_div.o bn_mp_div_d.o bn_mp_dr_is_modulus.o bn_mp_dr_reduce.o bn_mp_dr_setup.o bn_mp_exch.o \ +bn_mp_export.o bn_mp_expt_d.o bn_mp_expt_d_ex.o bn_mp_exptmod.o bn_mp_exptmod_fast.o bn_mp_exteuclid.o \ +bn_mp_fread.o bn_mp_fwrite.o bn_mp_gcd.o bn_mp_get_int.o bn_mp_get_long.o bn_mp_get_long_long.o \ +bn_mp_grow.o bn_mp_import.o bn_mp_init.o bn_mp_init_copy.o bn_mp_init_multi.o bn_mp_init_set.o \ +bn_mp_init_set_int.o bn_mp_init_size.o bn_mp_invmod.o bn_mp_invmod_slow.o bn_mp_is_square.o \ +bn_mp_jacobi.o bn_mp_karatsuba_mul.o bn_mp_karatsuba_sqr.o bn_mp_lcm.o bn_mp_lshd.o bn_mp_mod_2d.o \ +bn_mp_mod.o bn_mp_mod_d.o bn_mp_montgomery_calc_normalization.o bn_mp_montgomery_reduce.o \ +bn_mp_montgomery_setup.o bn_mp_mul_2.o bn_mp_mul_2d.o bn_mp_mul.o bn_mp_mul_d.o bn_mp_mulmod.o bn_mp_neg.o \ +bn_mp_n_root.o bn_mp_n_root_ex.o bn_mp_or.o bn_mp_prime_fermat.o bn_mp_prime_is_divisible.o \ +bn_mp_prime_is_prime.o bn_mp_prime_miller_rabin.o bn_mp_prime_next_prime.o \ +bn_mp_prime_rabin_miller_trials.o bn_mp_prime_random_ex.o bn_mp_radix_size.o bn_mp_radix_smap.o \ +bn_mp_rand.o bn_mp_read_radix.o bn_mp_read_signed_bin.o bn_mp_read_unsigned_bin.o bn_mp_reduce_2k.o \ +bn_mp_reduce_2k_l.o bn_mp_reduce_2k_setup.o bn_mp_reduce_2k_setup_l.o bn_mp_reduce.o \ +bn_mp_reduce_is_2k.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_setup.o bn_mp_rshd.o bn_mp_set.o bn_mp_set_int.o \ +bn_mp_set_long.o bn_mp_set_long_long.o bn_mp_shrink.o bn_mp_signed_bin_size.o bn_mp_sqr.o bn_mp_sqrmod.o \ +bn_mp_sqrt.o bn_mp_sqrtmod_prime.o bn_mp_sub.o bn_mp_sub_d.o bn_mp_submod.o bn_mp_toom_mul.o \ +bn_mp_toom_sqr.o bn_mp_toradix.o bn_mp_toradix_n.o bn_mp_to_signed_bin.o bn_mp_to_signed_bin_n.o \ +bn_mp_to_unsigned_bin.o bn_mp_to_unsigned_bin_n.o bn_mp_unsigned_bin_size.o bn_mp_xor.o bn_mp_zero.o \ +bn_prime_tab.o bn_reverse.o bn_s_mp_add.o bn_s_mp_exptmod.o bn_s_mp_mul_digs.o bn_s_mp_mul_high_digs.o \ +bn_s_mp_sqr.o bn_s_mp_sub.o + +#END_INS + +HEADERS=tommath.h tommath_class.h tommath_superclass.h # make a Windows DLL via Cygwin windll: $(OBJECTS) diff --git a/libtommath/makefile.icc b/libtommath/makefile.icc index cf70ab0..1563802 100644 --- a/libtommath/makefile.icc +++ b/libtommath/makefile.icc @@ -11,7 +11,7 @@ CFLAGS += -I./ # -ax? specifies make code specifically for ? but compatible with IA-32 # -x? specifies compile solely for ? [not specifically IA-32 compatible] # -# where ? is +# where ? is # K - PIII # W - first P4 [Williamette] # N - P4 Northwood @@ -29,7 +29,6 @@ default: libtommath.a #default files to install LIBNAME=libtommath.a -HEADERS=tommath.h #LIBPATH-The directory for libtomcrypt to be installed to. #INCPATH-The directory to install the header files for libtommath. @@ -39,33 +38,35 @@ LIBPATH=/usr/lib INCPATH=/usr/include DATAPATH=/usr/share/doc/libtommath/pdf -OBJECTS=bncore.o bn_mp_init.o bn_mp_clear.o bn_mp_exch.o bn_mp_grow.o bn_mp_shrink.o \ -bn_mp_clamp.o bn_mp_zero.o bn_mp_set.o bn_mp_set_int.o bn_mp_init_size.o bn_mp_copy.o \ -bn_mp_init_copy.o bn_mp_abs.o bn_mp_neg.o bn_mp_cmp_mag.o bn_mp_cmp.o bn_mp_cmp_d.o \ -bn_mp_rshd.o bn_mp_lshd.o bn_mp_mod_2d.o bn_mp_div_2d.o bn_mp_mul_2d.o bn_mp_div_2.o \ -bn_mp_mul_2.o bn_s_mp_add.o bn_s_mp_sub.o bn_fast_s_mp_mul_digs.o bn_s_mp_mul_digs.o \ -bn_fast_s_mp_mul_high_digs.o bn_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_s_mp_sqr.o \ -bn_mp_add.o bn_mp_sub.o bn_mp_karatsuba_mul.o bn_mp_mul.o bn_mp_karatsuba_sqr.o \ -bn_mp_sqr.o bn_mp_div.o bn_mp_mod.o bn_mp_add_d.o bn_mp_sub_d.o bn_mp_mul_d.o \ -bn_mp_div_d.o bn_mp_mod_d.o bn_mp_expt_d.o bn_mp_addmod.o bn_mp_submod.o \ -bn_mp_mulmod.o bn_mp_sqrmod.o bn_mp_gcd.o bn_mp_lcm.o bn_fast_mp_invmod.o bn_mp_invmod.o \ -bn_mp_reduce.o bn_mp_montgomery_setup.o bn_fast_mp_montgomery_reduce.o bn_mp_montgomery_reduce.o \ -bn_mp_exptmod_fast.o bn_mp_exptmod.o bn_mp_2expt.o bn_mp_n_root.o bn_mp_jacobi.o bn_reverse.o \ -bn_mp_count_bits.o bn_mp_read_unsigned_bin.o bn_mp_read_signed_bin.o bn_mp_to_unsigned_bin.o \ -bn_mp_to_signed_bin.o bn_mp_unsigned_bin_size.o bn_mp_signed_bin_size.o \ -bn_mp_xor.o bn_mp_and.o bn_mp_or.o bn_mp_rand.o bn_mp_montgomery_calc_normalization.o \ -bn_mp_prime_is_divisible.o bn_prime_tab.o bn_mp_prime_fermat.o bn_mp_prime_miller_rabin.o \ -bn_mp_prime_is_prime.o bn_mp_prime_next_prime.o bn_mp_dr_reduce.o \ -bn_mp_dr_is_modulus.o bn_mp_dr_setup.o bn_mp_reduce_setup.o \ -bn_mp_toom_mul.o bn_mp_toom_sqr.o bn_mp_div_3.o bn_s_mp_exptmod.o \ -bn_mp_reduce_2k.o bn_mp_reduce_is_2k.o bn_mp_reduce_2k_setup.o \ -bn_mp_reduce_2k_l.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_2k_setup_l.o \ -bn_mp_radix_smap.o bn_mp_read_radix.o bn_mp_toradix.o bn_mp_radix_size.o \ -bn_mp_fread.o bn_mp_fwrite.o bn_mp_cnt_lsb.o bn_error.o \ -bn_mp_init_multi.o bn_mp_clear_multi.o bn_mp_exteuclid.o bn_mp_toradix_n.o \ -bn_mp_prime_random_ex.o bn_mp_get_int.o bn_mp_sqrt.o bn_mp_is_square.o bn_mp_init_set.o \ -bn_mp_init_set_int.o bn_mp_invmod_slow.o bn_mp_prime_rabin_miller_trials.o \ -bn_mp_to_signed_bin_n.o bn_mp_to_unsigned_bin_n.o +#START_INS +OBJECTS=bncore.o bn_error.o bn_fast_mp_invmod.o bn_fast_mp_montgomery_reduce.o bn_fast_s_mp_mul_digs.o \ +bn_fast_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_mp_2expt.o bn_mp_abs.o bn_mp_add.o bn_mp_add_d.o \ +bn_mp_addmod.o bn_mp_and.o bn_mp_clamp.o bn_mp_clear.o bn_mp_clear_multi.o bn_mp_cmp.o bn_mp_cmp_d.o \ +bn_mp_cmp_mag.o bn_mp_cnt_lsb.o bn_mp_copy.o bn_mp_count_bits.o bn_mp_div_2.o bn_mp_div_2d.o bn_mp_div_3.o \ +bn_mp_div.o bn_mp_div_d.o bn_mp_dr_is_modulus.o bn_mp_dr_reduce.o bn_mp_dr_setup.o bn_mp_exch.o \ +bn_mp_export.o bn_mp_expt_d.o bn_mp_expt_d_ex.o bn_mp_exptmod.o bn_mp_exptmod_fast.o bn_mp_exteuclid.o \ +bn_mp_fread.o bn_mp_fwrite.o bn_mp_gcd.o bn_mp_get_int.o bn_mp_get_long.o bn_mp_get_long_long.o \ +bn_mp_grow.o bn_mp_import.o bn_mp_init.o bn_mp_init_copy.o bn_mp_init_multi.o bn_mp_init_set.o \ +bn_mp_init_set_int.o bn_mp_init_size.o bn_mp_invmod.o bn_mp_invmod_slow.o bn_mp_is_square.o \ +bn_mp_jacobi.o bn_mp_karatsuba_mul.o bn_mp_karatsuba_sqr.o bn_mp_lcm.o bn_mp_lshd.o bn_mp_mod_2d.o \ +bn_mp_mod.o bn_mp_mod_d.o bn_mp_montgomery_calc_normalization.o bn_mp_montgomery_reduce.o \ +bn_mp_montgomery_setup.o bn_mp_mul_2.o bn_mp_mul_2d.o bn_mp_mul.o bn_mp_mul_d.o bn_mp_mulmod.o bn_mp_neg.o \ +bn_mp_n_root.o bn_mp_n_root_ex.o bn_mp_or.o bn_mp_prime_fermat.o bn_mp_prime_is_divisible.o \ +bn_mp_prime_is_prime.o bn_mp_prime_miller_rabin.o bn_mp_prime_next_prime.o \ +bn_mp_prime_rabin_miller_trials.o bn_mp_prime_random_ex.o bn_mp_radix_size.o bn_mp_radix_smap.o \ +bn_mp_rand.o bn_mp_read_radix.o bn_mp_read_signed_bin.o bn_mp_read_unsigned_bin.o bn_mp_reduce_2k.o \ +bn_mp_reduce_2k_l.o bn_mp_reduce_2k_setup.o bn_mp_reduce_2k_setup_l.o bn_mp_reduce.o \ +bn_mp_reduce_is_2k.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_setup.o bn_mp_rshd.o bn_mp_set.o bn_mp_set_int.o \ +bn_mp_set_long.o bn_mp_set_long_long.o bn_mp_shrink.o bn_mp_signed_bin_size.o bn_mp_sqr.o bn_mp_sqrmod.o \ +bn_mp_sqrt.o bn_mp_sqrtmod_prime.o bn_mp_sub.o bn_mp_sub_d.o bn_mp_submod.o bn_mp_toom_mul.o \ +bn_mp_toom_sqr.o bn_mp_toradix.o bn_mp_toradix_n.o bn_mp_to_signed_bin.o bn_mp_to_signed_bin_n.o \ +bn_mp_to_unsigned_bin.o bn_mp_to_unsigned_bin_n.o bn_mp_unsigned_bin_size.o bn_mp_xor.o bn_mp_zero.o \ +bn_prime_tab.o bn_reverse.o bn_s_mp_add.o bn_s_mp_exptmod.o bn_s_mp_mul_digs.o bn_s_mp_mul_high_digs.o \ +bn_s_mp_sqr.o bn_s_mp_sub.o + +#END_INS + +HEADERS=tommath.h tommath_class.h tommath_superclass.h libtommath.a: $(OBJECTS) $(AR) $(ARFLAGS) libtommath.a $(OBJECTS) @@ -75,7 +76,7 @@ libtommath.a: $(OBJECTS) # # This will build the library with profile generation # then run the test demo and rebuild the library. -# +# # So far I've seen improvements in the MP math profiled: make -f makefile.icc CFLAGS="$(CFLAGS) -prof_gen -DTESTING" timing @@ -83,7 +84,7 @@ profiled: rm -f *.a *.o ltmtest make -f makefile.icc CFLAGS="$(CFLAGS) -prof_use" -#make a single object profiled library +#make a single object profiled library profiled_single: perl gen.pl $(CC) $(CFLAGS) -prof_gen -DTESTING -c mpi.c -o mpi.o @@ -92,7 +93,7 @@ profiled_single: rm -f *.o ltmtest $(CC) $(CFLAGS) -prof_use -ip -DTESTING -c mpi.c -o mpi.o $(AR) $(ARFLAGS) libtommath.a mpi.o - ranlib libtommath.a + ranlib libtommath.a install: libtommath.a install -d -g $(GROUP) -o $(USER) $(DESTDIR)$(LIBPATH) @@ -102,10 +103,10 @@ install: libtommath.a test: libtommath.a demo/demo.o $(CC) demo/demo.o libtommath.a -o test - -mtest: test + +mtest: test cd mtest ; $(CC) $(CFLAGS) mtest.c -o mtest - + timing: libtommath.a $(CC) $(CFLAGS) -DTIMER demo/timing.c libtommath.a -o ltmtest diff --git a/libtommath/makefile.include b/libtommath/makefile.include new file mode 100644 index 0000000..c862f0f --- /dev/null +++ b/libtommath/makefile.include @@ -0,0 +1,105 @@ +# +# Include makefile for libtommath +# + +#version of library +VERSION=1.0 +VERSION_SO=1:0 + +# default make target +default: ${LIBNAME} + +# Compiler and Linker Names +ifndef PREFIX + PREFIX= +endif + +ifeq ($(CC),cc) + CC = $(PREFIX)gcc +endif +LD=$(PREFIX)ld +AR=$(PREFIX)ar +RANLIB=$(PREFIX)ranlib + +ifndef MAKE + MAKE=make +endif + +CFLAGS += -I./ -Wall -Wsign-compare -Wextra -Wshadow + +ifndef NO_ADDTL_WARNINGS +# additional warnings +CFLAGS += -Wsystem-headers -Wdeclaration-after-statement -Wbad-function-cast -Wcast-align +CFLAGS += -Wstrict-prototypes -Wpointer-arith +endif + +ifdef COMPILE_DEBUG +#debug +CFLAGS += -g3 +else + +ifdef COMPILE_SIZE +#for size +CFLAGS += -Os +else + +ifndef IGNORE_SPEED +#for speed +CFLAGS += -O3 -funroll-loops + +#x86 optimizations [should be valid for any GCC install though] +CFLAGS += -fomit-frame-pointer +endif + +endif # COMPILE_SIZE +endif # COMPILE_DEBUG + +# adjust coverage set +ifneq ($(filter $(shell arch), i386 i686 x86_64 amd64 ia64),) + COVERAGE = test_standalone timing + COVERAGE_APP = ./test && ./ltmtest +else + COVERAGE = test_standalone + COVERAGE_APP = ./test +endif + +HEADERS_PUB=tommath.h tommath_class.h tommath_superclass.h +HEADERS=tommath_private.h $(HEADERS_PUB) + +test_standalone: CFLAGS+=-DLTM_DEMO_TEST_VS_MTEST=0 + +#LIBPATH-The directory for libtommath to be installed to. +#INCPATH-The directory to install the header files for libtommath. +#DATAPATH-The directory to install the pdf docs. +LIBPATH?=/usr/lib +INCPATH?=/usr/include +DATAPATH?=/usr/share/doc/libtommath/pdf + +#make the code coverage of the library +# +coverage: CFLAGS += -fprofile-arcs -ftest-coverage -DTIMING_NO_LOGS +coverage: LFLAGS += -lgcov +coverage: LDFLAGS += -lgcov + +coverage: $(COVERAGE) + $(COVERAGE_APP) + +lcov: coverage + rm -f coverage.info + lcov --capture --no-external --no-recursion $(LCOV_ARGS) --output-file coverage.info -q + genhtml coverage.info --output-directory coverage -q + +# target that removes all coverage output +cleancov-clean: + rm -f `find . -type f -name "*.info" | xargs` + rm -rf coverage/ + +# cleans everything - coverage output and standard 'clean' +cleancov: cleancov-clean clean + +clean: + rm -f *.gcda *.gcno *.bat *.o *.a *.obj *.lib *.exe *.dll etclib/*.o demo/demo.o test ltmtest mpitest mtest/mtest mtest/mtest.exe \ + *.idx *.toc *.log *.aux *.dvi *.lof *.ind *.ilg *.ps *.log *.s mpi.c *.da *.dyn *.dpi tommath.tex `find . -type f | grep [~] | xargs` *.lo *.la + rm -rf .libs/ + cd etc ; MAKE=${MAKE} ${MAKE} clean + cd pics ; MAKE=${MAKE} ${MAKE} clean diff --git a/libtommath/makefile.msvc b/libtommath/makefile.msvc index 5edebec..a47aadd 100644 --- a/libtommath/makefile.msvc +++ b/libtommath/makefile.msvc @@ -6,33 +6,33 @@ CFLAGS = /I. /Ox /DWIN32 /W3 /Fo$@ default: library -OBJECTS=bncore.obj bn_mp_init.obj bn_mp_clear.obj bn_mp_exch.obj bn_mp_grow.obj bn_mp_shrink.obj \ -bn_mp_clamp.obj bn_mp_zero.obj bn_mp_set.obj bn_mp_set_int.obj bn_mp_init_size.obj bn_mp_copy.obj \ -bn_mp_init_copy.obj bn_mp_abs.obj bn_mp_neg.obj bn_mp_cmp_mag.obj bn_mp_cmp.obj bn_mp_cmp_d.obj \ -bn_mp_rshd.obj bn_mp_lshd.obj bn_mp_mod_2d.obj bn_mp_div_2d.obj bn_mp_mul_2d.obj bn_mp_div_2.obj \ -bn_mp_mul_2.obj bn_s_mp_add.obj bn_s_mp_sub.obj bn_fast_s_mp_mul_digs.obj bn_s_mp_mul_digs.obj \ -bn_fast_s_mp_mul_high_digs.obj bn_s_mp_mul_high_digs.obj bn_fast_s_mp_sqr.obj bn_s_mp_sqr.obj \ -bn_mp_add.obj bn_mp_sub.obj bn_mp_karatsuba_mul.obj bn_mp_mul.obj bn_mp_karatsuba_sqr.obj \ -bn_mp_sqr.obj bn_mp_div.obj bn_mp_mod.obj bn_mp_add_d.obj bn_mp_sub_d.obj bn_mp_mul_d.obj \ -bn_mp_div_d.obj bn_mp_mod_d.obj bn_mp_expt_d.obj bn_mp_addmod.obj bn_mp_submod.obj \ -bn_mp_mulmod.obj bn_mp_sqrmod.obj bn_mp_gcd.obj bn_mp_lcm.obj bn_fast_mp_invmod.obj bn_mp_invmod.obj \ -bn_mp_reduce.obj bn_mp_montgomery_setup.obj bn_fast_mp_montgomery_reduce.obj bn_mp_montgomery_reduce.obj \ -bn_mp_exptmod_fast.obj bn_mp_exptmod.obj bn_mp_2expt.obj bn_mp_n_root.obj bn_mp_jacobi.obj bn_reverse.obj \ -bn_mp_count_bits.obj bn_mp_read_unsigned_bin.obj bn_mp_read_signed_bin.obj bn_mp_to_unsigned_bin.obj \ -bn_mp_to_signed_bin.obj bn_mp_unsigned_bin_size.obj bn_mp_signed_bin_size.obj \ -bn_mp_xor.obj bn_mp_and.obj bn_mp_or.obj bn_mp_rand.obj bn_mp_montgomery_calc_normalization.obj \ -bn_mp_prime_is_divisible.obj bn_prime_tab.obj bn_mp_prime_fermat.obj bn_mp_prime_miller_rabin.obj \ -bn_mp_prime_is_prime.obj bn_mp_prime_next_prime.obj bn_mp_dr_reduce.obj \ -bn_mp_dr_is_modulus.obj bn_mp_dr_setup.obj bn_mp_reduce_setup.obj \ -bn_mp_toom_mul.obj bn_mp_toom_sqr.obj bn_mp_div_3.obj bn_s_mp_exptmod.obj \ -bn_mp_reduce_2k.obj bn_mp_reduce_is_2k.obj bn_mp_reduce_2k_setup.obj \ -bn_mp_reduce_2k_l.obj bn_mp_reduce_is_2k_l.obj bn_mp_reduce_2k_setup_l.obj \ -bn_mp_radix_smap.obj bn_mp_read_radix.obj bn_mp_toradix.obj bn_mp_radix_size.obj \ -bn_mp_fread.obj bn_mp_fwrite.obj bn_mp_cnt_lsb.obj bn_error.obj \ -bn_mp_init_multi.obj bn_mp_clear_multi.obj bn_mp_exteuclid.obj bn_mp_toradix_n.obj \ -bn_mp_prime_random_ex.obj bn_mp_get_int.obj bn_mp_sqrt.obj bn_mp_is_square.obj \ -bn_mp_init_set.obj bn_mp_init_set_int.obj bn_mp_invmod_slow.obj bn_mp_prime_rabin_miller_trials.obj \ -bn_mp_to_signed_bin_n.obj bn_mp_to_unsigned_bin_n.obj +#START_INS +OBJECTS=bncore.obj bn_error.obj bn_fast_mp_invmod.obj bn_fast_mp_montgomery_reduce.obj bn_fast_s_mp_mul_digs.obj \ +bn_fast_s_mp_mul_high_digs.obj bn_fast_s_mp_sqr.obj bn_mp_2expt.obj bn_mp_abs.obj bn_mp_add.obj bn_mp_add_d.obj \ +bn_mp_addmod.obj bn_mp_and.obj bn_mp_clamp.obj bn_mp_clear.obj bn_mp_clear_multi.obj bn_mp_cmp.obj bn_mp_cmp_d.obj \ +bn_mp_cmp_mag.obj bn_mp_cnt_lsb.obj bn_mp_copy.obj bn_mp_count_bits.obj bn_mp_div_2.obj bn_mp_div_2d.obj bn_mp_div_3.obj \ +bn_mp_div.obj bn_mp_div_d.obj bn_mp_dr_is_modulus.obj bn_mp_dr_reduce.obj bn_mp_dr_setup.obj bn_mp_exch.obj \ +bn_mp_export.obj bn_mp_expt_d.obj bn_mp_expt_d_ex.obj bn_mp_exptmod.obj bn_mp_exptmod_fast.obj bn_mp_exteuclid.obj \ +bn_mp_fread.obj bn_mp_fwrite.obj bn_mp_gcd.obj bn_mp_get_int.obj bn_mp_get_long.obj bn_mp_get_long_long.obj \ +bn_mp_grow.obj bn_mp_import.obj bn_mp_init.obj bn_mp_init_copy.obj bn_mp_init_multi.obj bn_mp_init_set.obj \ +bn_mp_init_set_int.obj bn_mp_init_size.obj bn_mp_invmod.obj bn_mp_invmod_slow.obj bn_mp_is_square.obj \ +bn_mp_jacobi.obj bn_mp_karatsuba_mul.obj bn_mp_karatsuba_sqr.obj bn_mp_lcm.obj bn_mp_lshd.obj bn_mp_mod_2d.obj \ +bn_mp_mod.obj bn_mp_mod_d.obj bn_mp_montgomery_calc_normalization.obj bn_mp_montgomery_reduce.obj \ +bn_mp_montgomery_setup.obj bn_mp_mul_2.obj bn_mp_mul_2d.obj bn_mp_mul.obj bn_mp_mul_d.obj bn_mp_mulmod.obj bn_mp_neg.obj \ +bn_mp_n_root.obj bn_mp_n_root_ex.obj bn_mp_or.obj bn_mp_prime_fermat.obj bn_mp_prime_is_divisible.obj \ +bn_mp_prime_is_prime.obj bn_mp_prime_miller_rabin.obj bn_mp_prime_next_prime.obj \ +bn_mp_prime_rabin_miller_trials.obj bn_mp_prime_random_ex.obj bn_mp_radix_size.obj bn_mp_radix_smap.obj \ +bn_mp_rand.obj bn_mp_read_radix.obj bn_mp_read_signed_bin.obj bn_mp_read_unsigned_bin.obj bn_mp_reduce_2k.obj \ +bn_mp_reduce_2k_l.obj bn_mp_reduce_2k_setup.obj bn_mp_reduce_2k_setup_l.obj bn_mp_reduce.obj \ +bn_mp_reduce_is_2k.obj bn_mp_reduce_is_2k_l.obj bn_mp_reduce_setup.obj bn_mp_rshd.obj bn_mp_set.obj bn_mp_set_int.obj \ +bn_mp_set_long.obj bn_mp_set_long_long.obj bn_mp_shrink.obj bn_mp_signed_bin_size.obj bn_mp_sqr.obj bn_mp_sqrmod.obj \ +bn_mp_sqrt.obj bn_mp_sqrtmod_prime.obj bn_mp_sub.obj bn_mp_sub_d.obj bn_mp_submod.obj bn_mp_toom_mul.obj \ +bn_mp_toom_sqr.obj bn_mp_toradix.obj bn_mp_toradix_n.obj bn_mp_to_signed_bin.obj bn_mp_to_signed_bin_n.obj \ +bn_mp_to_unsigned_bin.obj bn_mp_to_unsigned_bin_n.obj bn_mp_unsigned_bin_size.obj bn_mp_xor.obj bn_mp_zero.obj \ +bn_prime_tab.obj bn_reverse.obj bn_s_mp_add.obj bn_s_mp_exptmod.obj bn_s_mp_mul_digs.obj bn_s_mp_mul_high_digs.obj \ +bn_s_mp_sqr.obj bn_s_mp_sub.obj + +#END_INS HEADERS=tommath.h tommath_class.h tommath_superclass.h diff --git a/libtommath/makefile.shared b/libtommath/makefile.shared index f17bbbd..559720e 100644 --- a/libtommath/makefile.shared +++ b/libtommath/makefile.shared @@ -1,102 +1,71 @@ #Makefile for GCC # #Tom St Denis -VERSION=0:41 - -CC = libtool --mode=compile --tag=CC gcc - -CFLAGS += -I./ -Wall -W -Wshadow -Wsign-compare - -ifndef IGNORE_SPEED - -#for speed -CFLAGS += -O3 -funroll-loops - -#for size -#CFLAGS += -Os - -#x86 optimizations [should be valid for any GCC install though] -CFLAGS += -fomit-frame-pointer - -endif - -#install as this user -ifndef INSTALL_GROUP - GROUP=wheel -else - GROUP=$(INSTALL_GROUP) -endif - -ifndef INSTALL_USER - USER=root -else - USER=$(INSTALL_USER) -endif - -default: libtommath.la #default files to install ifndef LIBNAME LIBNAME=libtommath.la endif -ifndef LIBNAME_S - LIBNAME_S=libtommath.a -endif -HEADERS=tommath.h tommath_class.h tommath_superclass.h - -#LIBPATH-The directory for libtommath to be installed to. -#INCPATH-The directory to install the header files for libtommath. -#DATAPATH-The directory to install the pdf docs. -DESTDIR= -LIBPATH=/usr/lib -INCPATH=/usr/include -DATAPATH=/usr/share/doc/libtommath/pdf -OBJECTS=bncore.o bn_mp_init.o bn_mp_clear.o bn_mp_exch.o bn_mp_grow.o bn_mp_shrink.o \ -bn_mp_clamp.o bn_mp_zero.o bn_mp_set.o bn_mp_set_int.o bn_mp_init_size.o bn_mp_copy.o \ -bn_mp_init_copy.o bn_mp_abs.o bn_mp_neg.o bn_mp_cmp_mag.o bn_mp_cmp.o bn_mp_cmp_d.o \ -bn_mp_rshd.o bn_mp_lshd.o bn_mp_mod_2d.o bn_mp_div_2d.o bn_mp_mul_2d.o bn_mp_div_2.o \ -bn_mp_mul_2.o bn_s_mp_add.o bn_s_mp_sub.o bn_fast_s_mp_mul_digs.o bn_s_mp_mul_digs.o \ -bn_fast_s_mp_mul_high_digs.o bn_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_s_mp_sqr.o \ -bn_mp_add.o bn_mp_sub.o bn_mp_karatsuba_mul.o bn_mp_mul.o bn_mp_karatsuba_sqr.o \ -bn_mp_sqr.o bn_mp_div.o bn_mp_mod.o bn_mp_add_d.o bn_mp_sub_d.o bn_mp_mul_d.o \ -bn_mp_div_d.o bn_mp_mod_d.o bn_mp_expt_d.o bn_mp_addmod.o bn_mp_submod.o \ -bn_mp_mulmod.o bn_mp_sqrmod.o bn_mp_gcd.o bn_mp_lcm.o bn_fast_mp_invmod.o bn_mp_invmod.o \ -bn_mp_reduce.o bn_mp_montgomery_setup.o bn_fast_mp_montgomery_reduce.o bn_mp_montgomery_reduce.o \ -bn_mp_exptmod_fast.o bn_mp_exptmod.o bn_mp_2expt.o bn_mp_n_root.o bn_mp_jacobi.o bn_reverse.o \ -bn_mp_count_bits.o bn_mp_read_unsigned_bin.o bn_mp_read_signed_bin.o bn_mp_to_unsigned_bin.o \ -bn_mp_to_signed_bin.o bn_mp_unsigned_bin_size.o bn_mp_signed_bin_size.o \ -bn_mp_xor.o bn_mp_and.o bn_mp_or.o bn_mp_rand.o bn_mp_montgomery_calc_normalization.o \ -bn_mp_prime_is_divisible.o bn_prime_tab.o bn_mp_prime_fermat.o bn_mp_prime_miller_rabin.o \ -bn_mp_prime_is_prime.o bn_mp_prime_next_prime.o bn_mp_dr_reduce.o \ -bn_mp_dr_is_modulus.o bn_mp_dr_setup.o bn_mp_reduce_setup.o \ -bn_mp_toom_mul.o bn_mp_toom_sqr.o bn_mp_div_3.o bn_s_mp_exptmod.o \ -bn_mp_reduce_2k.o bn_mp_reduce_is_2k.o bn_mp_reduce_2k_setup.o \ -bn_mp_reduce_2k_l.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_2k_setup_l.o \ -bn_mp_radix_smap.o bn_mp_read_radix.o bn_mp_toradix.o bn_mp_radix_size.o \ -bn_mp_fread.o bn_mp_fwrite.o bn_mp_cnt_lsb.o bn_error.o \ -bn_mp_init_multi.o bn_mp_clear_multi.o bn_mp_exteuclid.o bn_mp_toradix_n.o \ -bn_mp_prime_random_ex.o bn_mp_get_int.o bn_mp_sqrt.o bn_mp_is_square.o bn_mp_init_set.o \ -bn_mp_init_set_int.o bn_mp_invmod_slow.o bn_mp_prime_rabin_miller_trials.o \ -bn_mp_to_signed_bin_n.o bn_mp_to_unsigned_bin_n.o +include makefile.include + +LT ?= libtool +LTCOMPILE = $(LT) --mode=compile --tag=CC $(CC) + +LCOV_ARGS=--directory .libs --directory . + +#START_INS +OBJECTS=bncore.o bn_error.o bn_fast_mp_invmod.o bn_fast_mp_montgomery_reduce.o bn_fast_s_mp_mul_digs.o \ +bn_fast_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_mp_2expt.o bn_mp_abs.o bn_mp_add.o bn_mp_add_d.o \ +bn_mp_addmod.o bn_mp_and.o bn_mp_clamp.o bn_mp_clear.o bn_mp_clear_multi.o bn_mp_cmp.o bn_mp_cmp_d.o \ +bn_mp_cmp_mag.o bn_mp_cnt_lsb.o bn_mp_copy.o bn_mp_count_bits.o bn_mp_div_2.o bn_mp_div_2d.o bn_mp_div_3.o \ +bn_mp_div.o bn_mp_div_d.o bn_mp_dr_is_modulus.o bn_mp_dr_reduce.o bn_mp_dr_setup.o bn_mp_exch.o \ +bn_mp_export.o bn_mp_expt_d.o bn_mp_expt_d_ex.o bn_mp_exptmod.o bn_mp_exptmod_fast.o bn_mp_exteuclid.o \ +bn_mp_fread.o bn_mp_fwrite.o bn_mp_gcd.o bn_mp_get_int.o bn_mp_get_long.o bn_mp_get_long_long.o \ +bn_mp_grow.o bn_mp_import.o bn_mp_init.o bn_mp_init_copy.o bn_mp_init_multi.o bn_mp_init_set.o \ +bn_mp_init_set_int.o bn_mp_init_size.o bn_mp_invmod.o bn_mp_invmod_slow.o bn_mp_is_square.o \ +bn_mp_jacobi.o bn_mp_karatsuba_mul.o bn_mp_karatsuba_sqr.o bn_mp_lcm.o bn_mp_lshd.o bn_mp_mod_2d.o \ +bn_mp_mod.o bn_mp_mod_d.o bn_mp_montgomery_calc_normalization.o bn_mp_montgomery_reduce.o \ +bn_mp_montgomery_setup.o bn_mp_mul_2.o bn_mp_mul_2d.o bn_mp_mul.o bn_mp_mul_d.o bn_mp_mulmod.o bn_mp_neg.o \ +bn_mp_n_root.o bn_mp_n_root_ex.o bn_mp_or.o bn_mp_prime_fermat.o bn_mp_prime_is_divisible.o \ +bn_mp_prime_is_prime.o bn_mp_prime_miller_rabin.o bn_mp_prime_next_prime.o \ +bn_mp_prime_rabin_miller_trials.o bn_mp_prime_random_ex.o bn_mp_radix_size.o bn_mp_radix_smap.o \ +bn_mp_rand.o bn_mp_read_radix.o bn_mp_read_signed_bin.o bn_mp_read_unsigned_bin.o bn_mp_reduce_2k.o \ +bn_mp_reduce_2k_l.o bn_mp_reduce_2k_setup.o bn_mp_reduce_2k_setup_l.o bn_mp_reduce.o \ +bn_mp_reduce_is_2k.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_setup.o bn_mp_rshd.o bn_mp_set.o bn_mp_set_int.o \ +bn_mp_set_long.o bn_mp_set_long_long.o bn_mp_shrink.o bn_mp_signed_bin_size.o bn_mp_sqr.o bn_mp_sqrmod.o \ +bn_mp_sqrt.o bn_mp_sqrtmod_prime.o bn_mp_sub.o bn_mp_sub_d.o bn_mp_submod.o bn_mp_toom_mul.o \ +bn_mp_toom_sqr.o bn_mp_toradix.o bn_mp_toradix_n.o bn_mp_to_signed_bin.o bn_mp_to_signed_bin_n.o \ +bn_mp_to_unsigned_bin.o bn_mp_to_unsigned_bin_n.o bn_mp_unsigned_bin_size.o bn_mp_xor.o bn_mp_zero.o \ +bn_prime_tab.o bn_reverse.o bn_s_mp_add.o bn_s_mp_exptmod.o bn_s_mp_mul_digs.o bn_s_mp_mul_high_digs.o \ +bn_s_mp_sqr.o bn_s_mp_sub.o + +#END_INS objs: $(OBJECTS) +.c.o: + $(LTCOMPILE) $(CFLAGS) $(LDFLAGS) -o $@ -c $< + $(LIBNAME): $(OBJECTS) - libtool --mode=link gcc *.lo -o $(LIBNAME) -rpath $(LIBPATH) -version-info $(VERSION) + $(LT) --mode=link --tag=CC $(CC) $(LDFLAGS) *.lo -o $(LIBNAME) -rpath $(LIBPATH) -version-info $(VERSION_SO) install: $(LIBNAME) - install -d -g $(GROUP) -o $(USER) $(DESTDIR)$(LIBPATH) - libtool --mode=install install -c $(LIBNAME) $(DESTDIR)$(LIBPATH)/$(LIBNAME) - install -d -g $(GROUP) -o $(USER) $(DESTDIR)$(INCPATH) - install -g $(GROUP) -o $(USER) $(HEADERS) $(DESTDIR)$(INCPATH) + install -d $(DESTDIR)$(LIBPATH) + install -d $(DESTDIR)$(INCPATH) + $(LT) --mode=install install -c $(LIBNAME) $(DESTDIR)$(LIBPATH)/$(LIBNAME) + install -m 644 $(HEADERS_PUB) $(DESTDIR)$(INCPATH) test: $(LIBNAME) demo/demo.o - gcc $(CFLAGS) -c demo/demo.c -o demo/demo.o - libtool --mode=link gcc -o test demo/demo.o $(LIBNAME_S) - -mtest: test - cd mtest ; gcc $(CFLAGS) mtest.c -o mtest - + $(CC) $(CFLAGS) -c demo/demo.c -o demo/demo.o + $(LT) --mode=link $(CC) $(LDFLAGS) -o test demo/demo.o $(LIBNAME) + +test_standalone: $(LIBNAME) demo/demo.o + $(CC) $(CFLAGS) -c demo/demo.c -o demo/demo.o + $(LT) --mode=link $(CC) $(LDFLAGS) -o test demo/demo.o $(LIBNAME) + +mtest: + cd mtest ; $(CC) $(CFLAGS) $(LDFLAGS) mtest.c -o mtest + timing: $(LIBNAME) - gcc $(CFLAGS) -DTIMER demo/timing.c $(LIBNAME_S) -o ltmtest + $(LT) --mode=link $(CC) $(CFLAGS) $(LDFLAGS) -DTIMER demo/timing.c $(LIBNAME) -o ltmtest diff --git a/libtommath/mtest/logtab.h b/libtommath/mtest/logtab.h index 04c1ad3..751111e 100644 --- a/libtommath/mtest/logtab.h +++ b/libtommath/mtest/logtab.h @@ -20,5 +20,5 @@ const float s_logv_2[] = { /* $Source$ */ -/* $Revision: 0.36 $ */ -/* $Date: 2005-08-01 16:37:28 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/mtest/mpi-config.h b/libtommath/mtest/mpi-config.h index 21e72b2..fc2a885 100644 --- a/libtommath/mtest/mpi-config.h +++ b/libtommath/mtest/mpi-config.h @@ -1,5 +1,5 @@ /* Default configuration for MPI library */ -/* $ID$ */ +/* $Id$ */ #ifndef MPI_CONFIG_H_ #define MPI_CONFIG_H_ @@ -86,5 +86,5 @@ /* crc==3287762869, version==2, Sat Feb 02 06:43:53 2002 */ /* $Source$ */ -/* $Revision: 0.36 $ */ -/* $Date: 2005-08-01 16:37:28 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/mtest/mpi-types.h b/libtommath/mtest/mpi-types.h index a90f11e..f99d7ee 100644 --- a/libtommath/mtest/mpi-types.h +++ b/libtommath/mtest/mpi-types.h @@ -16,5 +16,5 @@ typedef int mp_err; /* $Source$ */ -/* $Revision: 0.36 $ */ -/* $Date: 2005-08-01 16:37:28 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/mtest/mpi.c b/libtommath/mtest/mpi.c index f6ef8c7..48dbe27 100644 --- a/libtommath/mtest/mpi.c +++ b/libtommath/mtest/mpi.c @@ -6,7 +6,7 @@ Arbitrary precision integer arithmetic library - $ID$ + $Id$ */ #include "mpi.h" @@ -22,7 +22,7 @@ #define DIAG(T,V) #endif -/* +/* If MP_LOGTAB is not defined, use the math library to compute the logarithms on the fly. Otherwise, use the static table below. Pick which works best for your system. @@ -33,7 +33,7 @@ /* A table of the logs of 2 for various bases (the 0 and 1 entries of - this table are meaningless and should not be referenced). + this table are meaningless and should not be referenced). This table is used to compute output lengths for the mp_toradix() function. Since a number n in radix r takes up about log_r(n) @@ -43,7 +43,7 @@ log_r(n) = log_2(n) * log_r(2) This table, therefore, is a table of log_r(2) for 2 <= r <= 36, - which are the output bases supported. + which are the output bases supported. */ #include "logtab.h" @@ -104,7 +104,7 @@ static const char *mp_err_string[] = { /* Value to digit maps for radix conversion */ /* s_dmap_1 - standard digits and letters */ -static const char *s_dmap_1 = +static const char *s_dmap_1 = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz+/"; #if 0 @@ -117,7 +117,7 @@ static const char *s_dmap_2 = /* {{{ Static function declarations */ -/* +/* If MP_MACRO is false, these will be defined as actual functions; otherwise, suitable macro definitions will be used. This works around the fact that ANSI C89 doesn't support an 'inline' keyword @@ -258,7 +258,7 @@ mp_err mp_init_array(mp_int mp[], int count) return MP_OKAY; CLEANUP: - while(--pos >= 0) + while(--pos >= 0) mp_clear(&mp[pos]); return res; @@ -355,7 +355,7 @@ mp_err mp_copy(mp_int *from, mp_int *to) if(ALLOC(to) >= USED(from)) { s_mp_setz(DIGITS(to) + USED(from), ALLOC(to) - USED(from)); s_mp_copy(DIGITS(from), DIGITS(to), USED(from)); - + } else { if((tmp = s_mp_alloc(USED(from), sizeof(mp_digit))) == NULL) return MP_MEM; @@ -445,7 +445,7 @@ void mp_clear_array(mp_int mp[], int count) { ARGCHK(mp != NULL && count > 0, MP_BADARG); - while(--count >= 0) + while(--count >= 0) mp_clear(&mp[count]); } /* end mp_clear_array() */ @@ -455,7 +455,7 @@ void mp_clear_array(mp_int mp[], int count) /* {{{ mp_zero(mp) */ /* - mp_zero(mp) + mp_zero(mp) Set mp to zero. Does not change the allocated size of the structure, and therefore cannot fail (except on a bad argument, which we ignore) @@ -506,7 +506,7 @@ mp_err mp_set_int(mp_int *mp, long z) if((res = s_mp_mul_2d(mp, CHAR_BIT)) != MP_OKAY) return res; - res = s_mp_add_d(mp, + res = s_mp_add_d(mp, (mp_digit)((v >> (ix * CHAR_BIT)) & UCHAR_MAX)); if(res != MP_OKAY) return res; @@ -841,9 +841,9 @@ mp_err mp_neg(mp_int *a, mp_int *b) if((res = mp_copy(a, b)) != MP_OKAY) return res; - if(s_mp_cmp_d(b, 0) == MP_EQ) + if(s_mp_cmp_d(b, 0) == MP_EQ) SIGN(b) = MP_ZPOS; - else + else SIGN(b) = (SIGN(b) == MP_NEG) ? MP_ZPOS : MP_NEG; return MP_OKAY; @@ -870,7 +870,7 @@ mp_err mp_add(mp_int *a, mp_int *b, mp_int *c) if(SIGN(a) == SIGN(b)) { /* same sign: add values, keep sign */ /* Commutativity of addition lets us do this in either order, - so we avoid having to use a temporary even if the result + so we avoid having to use a temporary even if the result is supposed to replace the output */ if(c == b) { @@ -880,14 +880,14 @@ mp_err mp_add(mp_int *a, mp_int *b, mp_int *c) if(c != a && (res = mp_copy(a, c)) != MP_OKAY) return res; - if((res = s_mp_add(c, b)) != MP_OKAY) + if((res = s_mp_add(c, b)) != MP_OKAY) return res; } } else if((cmp = s_mp_cmp(a, b)) > 0) { /* different sign: a > b */ /* If the output is going to be clobbered, we will use a temporary - variable; otherwise, we'll do it without touching the memory + variable; otherwise, we'll do it without touching the memory allocator at all, if possible */ if(c == b) { @@ -1019,7 +1019,7 @@ mp_err mp_sub(mp_int *a, mp_int *b, mp_int *c) mp_clear(&tmp); } else { - if(c != b && ((res = mp_copy(b, c)) != MP_OKAY)) + if(c != b && ((res = mp_copy(b, c)) != MP_OKAY)) return res; if((res = s_mp_sub(c, a)) != MP_OKAY) @@ -1066,12 +1066,12 @@ mp_err mp_mul(mp_int *a, mp_int *b, mp_int *c) if((res = s_mp_mul(c, b)) != MP_OKAY) return res; } - + if(sgn == MP_ZPOS || s_mp_cmp_d(c, 0) == MP_EQ) SIGN(c) = MP_ZPOS; else SIGN(c) = sgn; - + return MP_OKAY; } /* end mp_mul() */ @@ -1160,7 +1160,7 @@ mp_err mp_div(mp_int *a, mp_int *b, mp_int *q, mp_int *r) return res; } - if(q) + if(q) mp_zero(q); return MP_OKAY; @@ -1206,10 +1206,10 @@ mp_err mp_div(mp_int *a, mp_int *b, mp_int *q, mp_int *r) SIGN(&rtmp) = MP_ZPOS; /* Copy output, if it is needed */ - if(q) + if(q) s_mp_exch(&qtmp, q); - if(r) + if(r) s_mp_exch(&rtmp, r); CLEANUP: @@ -1264,7 +1264,7 @@ mp_err mp_expt(mp_int *a, mp_int *b, mp_int *c) mp_int s, x; mp_err res; mp_digit d; - int dig, bit; + unsigned int bit, dig; ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG); @@ -1286,12 +1286,12 @@ mp_err mp_expt(mp_int *a, mp_int *b, mp_int *c) /* Loop over bits of each non-maximal digit */ for(bit = 0; bit < DIGIT_BIT; bit++) { if(d & 1) { - if((res = s_mp_mul(&s, &x)) != MP_OKAY) + if((res = s_mp_mul(&s, &x)) != MP_OKAY) goto CLEANUP; } d >>= 1; - + if((res = s_mp_sqr(&x)) != MP_OKAY) goto CLEANUP; } @@ -1311,7 +1311,7 @@ mp_err mp_expt(mp_int *a, mp_int *b, mp_int *c) if((res = s_mp_sqr(&x)) != MP_OKAY) goto CLEANUP; } - + if(mp_iseven(b)) SIGN(&s) = SIGN(a); @@ -1362,7 +1362,7 @@ mp_err mp_mod(mp_int *a, mp_int *m, mp_int *c) /* If |a| > m, we need to divide to get the remainder and take the - absolute value. + absolute value. If |a| < m, we don't need to do any division, just copy and adjust the sign (if a is negative). @@ -1376,7 +1376,7 @@ mp_err mp_mod(mp_int *a, mp_int *m, mp_int *c) if((mag = s_mp_cmp(a, m)) > 0) { if((res = mp_div(a, m, NULL, c)) != MP_OKAY) return res; - + if(SIGN(c) == MP_NEG) { if((res = mp_add(c, m, c)) != MP_OKAY) return res; @@ -1391,7 +1391,7 @@ mp_err mp_mod(mp_int *a, mp_int *m, mp_int *c) return res; } - + } else { mp_zero(c); @@ -1464,9 +1464,9 @@ mp_err mp_sqrt(mp_int *a, mp_int *b) return MP_RANGE; /* Special cases for zero and one, trivial */ - if(mp_cmp_d(a, 0) == MP_EQ || mp_cmp_d(a, 1) == MP_EQ) + if(mp_cmp_d(a, 0) == MP_EQ || mp_cmp_d(a, 1) == MP_EQ) return mp_copy(a, b); - + /* Initialize the temporaries we'll use below */ if((res = mp_init_size(&t, USED(a))) != MP_OKAY) return res; @@ -1508,7 +1508,7 @@ mp_add_d(&x, 1, &x); CLEANUP: mp_clear(&x); X: - mp_clear(&t); + mp_clear(&t); return res; @@ -1626,7 +1626,7 @@ mp_err mp_sqrmod(mp_int *a, mp_int *m, mp_int *c) Compute c = (a ** b) mod m. Uses a standard square-and-multiply method with modular reductions at each step. (This is basically the same code as mp_expt(), except for the addition of the reductions) - + The modular reductions are done using Barrett's algorithm (see s_mp_reduce() below for details) */ @@ -1637,7 +1637,7 @@ mp_err mp_exptmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c) mp_err res; mp_digit d, *db = DIGITS(b); mp_size ub = USED(b); - int dig, bit; + unsigned int bit, dig; ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG); @@ -1655,7 +1655,7 @@ mp_err mp_exptmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c) mp_set(&s, 1); /* mu = b^2k / m */ - s_mp_add_d(&mu, 1); + s_mp_add_d(&mu, 1); s_mp_lshd(&mu, 2 * USED(m)); if((res = mp_div(&mu, m, &mu, NULL)) != MP_OKAY) goto CLEANUP; @@ -1866,7 +1866,7 @@ int mp_cmp_int(mp_int *a, long z) int out; ARGCHK(a != NULL, MP_EQ); - + mp_init(&tmp); mp_set_int(&tmp, z); out = mp_cmp(a, &tmp); mp_clear(&tmp); @@ -1953,13 +1953,13 @@ mp_err mp_gcd(mp_int *a, mp_int *b, mp_int *c) if(mp_isodd(&u)) { if((res = mp_copy(&v, &t)) != MP_OKAY) goto CLEANUP; - + /* t = -v */ if(SIGN(&v) == MP_ZPOS) SIGN(&t) = MP_NEG; else SIGN(&t) = MP_ZPOS; - + } else { if((res = mp_copy(&u, &t)) != MP_OKAY) goto CLEANUP; @@ -2152,7 +2152,7 @@ mp_err mp_xgcd(mp_int *a, mp_int *b, mp_int *g, mp_int *x, mp_int *y) if(y) if((res = mp_copy(&D, y)) != MP_OKAY) goto CLEANUP; - + if(g) if((res = mp_mul(&gx, &v, g)) != MP_OKAY) goto CLEANUP; @@ -2255,7 +2255,7 @@ void mp_print(mp_int *mp, FILE *ofp) /* {{{ mp_read_signed_bin(mp, str, len) */ -/* +/* mp_read_signed_bin(mp, str, len) Read in a raw value (base 256) into the given mp_int @@ -2332,16 +2332,16 @@ mp_err mp_read_unsigned_bin(mp_int *mp, unsigned char *str, int len) if((res = mp_add_d(mp, str[ix], mp)) != MP_OKAY) return res; } - + return MP_OKAY; - + } /* end mp_read_unsigned_bin() */ /* }}} */ /* {{{ mp_unsigned_bin_size(mp) */ -int mp_unsigned_bin_size(mp_int *mp) +int mp_unsigned_bin_size(mp_int *mp) { mp_digit topdig; int count; @@ -2387,7 +2387,7 @@ mp_err mp_to_unsigned_bin(mp_int *mp, unsigned char *str) /* Generate digits in reverse order */ while(dp < end) { - int ix; + unsigned int ix; d = *dp; for(ix = 0; ix < sizeof(mp_digit); ++ix) { @@ -2440,7 +2440,7 @@ int mp_count_bits(mp_int *mp) } return len; - + } /* end mp_count_bits() */ /* }}} */ @@ -2462,14 +2462,14 @@ mp_err mp_read_radix(mp_int *mp, unsigned char *str, int radix) mp_err res; mp_sign sig = MP_ZPOS; - ARGCHK(mp != NULL && str != NULL && radix >= 2 && radix <= MAX_RADIX, + ARGCHK(mp != NULL && str != NULL && radix >= 2 && radix <= MAX_RADIX, MP_BADARG); mp_zero(mp); /* Skip leading non-digit characters until a digit or '-' or '+' */ - while(str[ix] && - (s_mp_tovalue(str[ix], radix) < 0) && + while(str[ix] && + (s_mp_tovalue(str[ix], radix) < 0) && str[ix] != '-' && str[ix] != '+') { ++ix; @@ -2525,7 +2525,7 @@ int mp_radix_size(mp_int *mp, int radix) /* num = number of digits qty = number of bits per digit radix = target base - + Return the number of digits in the specified radix that would be needed to express 'num' digits of 'qty' bits each. */ @@ -2541,7 +2541,7 @@ int mp_value_radix_size(int num, int qty, int radix) /* {{{ mp_toradix(mp, str, radix) */ -mp_err mp_toradix(mp_int *mp, unsigned char *str, int radix) +mp_err mp_toradix(mp_int *mp, char *str, int radix) { int ix, pos = 0; @@ -2587,14 +2587,14 @@ mp_err mp_toradix(mp_int *mp, unsigned char *str, int radix) /* Reverse the digits and sign indicator */ ix = 0; while(ix < pos) { - char tmp = str[ix]; + char _tmp = str[ix]; str[ix] = str[pos]; - str[pos] = tmp; + str[pos] = _tmp; ++ix; --pos; } - + mp_clear(&tmp); } @@ -2806,18 +2806,18 @@ void s_mp_exch(mp_int *a, mp_int *b) /* {{{ s_mp_lshd(mp, p) */ -/* +/* Shift mp leftward by p digits, growing if needed, and zero-filling the in-shifted digits at the right end. This is a convenient alternative to multiplication by powers of the radix - */ + */ mp_err s_mp_lshd(mp_int *mp, mp_size p) { mp_err res; mp_size pos; mp_digit *dp; - int ix; + int ix; if(p == 0) return MP_OKAY; @@ -2829,11 +2829,11 @@ mp_err s_mp_lshd(mp_int *mp, mp_size p) dp = DIGITS(mp); /* Shift all the significant figures over as needed */ - for(ix = pos - p; ix >= 0; ix--) + for(ix = pos - p; ix >= 0; ix--) dp[ix + p] = dp[ix]; /* Fill the bottom digits with zeroes */ - for(ix = 0; ix < p; ix++) + for(ix = 0; (unsigned)ix < p; ix++) dp[ix] = 0; return MP_OKAY; @@ -2844,7 +2844,7 @@ mp_err s_mp_lshd(mp_int *mp, mp_size p) /* {{{ s_mp_rshd(mp, p) */ -/* +/* Shift mp rightward by p digits. Maintains the invariant that digits above the precision are all zero. Digits shifted off the end are lost. Cannot fail. @@ -2898,7 +2898,7 @@ void s_mp_div_2(mp_int *mp) mp_err s_mp_mul_2(mp_int *mp) { - int ix; + unsigned int ix; mp_digit kin = 0, kout, *dp = DIGITS(mp); mp_err res; @@ -2970,7 +2970,7 @@ mp_err s_mp_mul_2d(mp_int *mp, mp_digit d) mp_err res; mp_digit save, next, mask, *dp; mp_size used; - int ix; + unsigned int ix; if((res = s_mp_lshd(mp, d / DIGIT_BIT)) != MP_OKAY) return res; @@ -3054,7 +3054,7 @@ void s_mp_div_2d(mp_int *mp, mp_digit d) end of the division process). We multiply by the smallest power of 2 that gives us a leading digit - at least half the radix. By choosing a power of 2, we simplify the + at least half the radix. By choosing a power of 2, we simplify the multiplication and division steps to simple shifts. */ mp_digit s_mp_norm(mp_int *a, mp_int *b) @@ -3066,7 +3066,7 @@ mp_digit s_mp_norm(mp_int *a, mp_int *b) t <<= 1; ++d; } - + if(d != 0) { s_mp_mul_2d(a, d); s_mp_mul_2d(b, d); @@ -3188,14 +3188,14 @@ mp_err s_mp_mul_d(mp_int *a, mp_digit d) test guarantees we have enough storage to do this safely. */ if(k) { - dp[max] = k; + dp[max] = k; USED(a) = max + 1; } s_mp_clamp(a); return MP_OKAY; - + } /* end s_mp_mul_d() */ /* }}} */ @@ -3289,7 +3289,7 @@ mp_err s_mp_add(mp_int *a, mp_int *b) /* magnitude addition */ } /* If we run out of 'b' digits before we're actually done, make - sure the carries get propagated upward... + sure the carries get propagated upward... */ used = USED(a); while(w && ix < used) { @@ -3351,7 +3351,7 @@ mp_err s_mp_sub(mp_int *a, mp_int *b) /* magnitude subtract */ /* Clobber any leading zeroes we created */ s_mp_clamp(a); - /* + /* If there was a borrow out, then |b| > |a| in violation of our input invariant. We've already done the work, but we'll at least complain about it... @@ -3387,7 +3387,7 @@ mp_err s_mp_reduce(mp_int *x, mp_int *m, mp_int *mu) s_mp_mod_2d(&q, (mp_digit)(DIGIT_BIT * (um + 1))); #else s_mp_mul_dig(&q, m, um + 1); -#endif +#endif /* x = x - q */ if((res = mp_sub(x, &q, x)) != MP_OKAY) @@ -3441,7 +3441,7 @@ mp_err s_mp_mul(mp_int *a, mp_int *b) pb = DIGITS(b); for(ix = 0; ix < ub; ++ix, ++pb) { - if(*pb == 0) + if(*pb == 0) continue; /* Inner product: Digits of a */ @@ -3480,7 +3480,7 @@ void s_mp_kmul(mp_digit *a, mp_digit *b, mp_digit *out, mp_size len) for(ix = 0; ix < len; ++ix, ++b) { if(*b == 0) continue; - + pa = a; for(jx = 0; jx < len; ++jx, ++pa) { pt = out + ix + jx; @@ -3547,7 +3547,7 @@ mp_err s_mp_sqr(mp_int *a) */ for(jx = ix + 1, pa2 = DIGITS(a) + jx; jx < used; ++jx, ++pa2) { mp_word u = 0, v; - + /* Store this in a temporary to avoid indirections later */ pt = pbt + ix + jx; @@ -3568,7 +3568,7 @@ mp_err s_mp_sqr(mp_int *a) v = *pt + k; /* If we do not already have an overflow carry, check to see - if the addition will cause one, and set the carry out if so + if the addition will cause one, and set the carry out if so */ u |= ((MP_WORD_MAX - v) < w); @@ -3592,7 +3592,7 @@ mp_err s_mp_sqr(mp_int *a) /* If we are carrying out, propagate the carry to the next digit in the output. This may cascade, so we have to be somewhat circumspect -- but we will have enough precision in the output - that we won't overflow + that we won't overflow */ kx = 1; while(k) { @@ -3664,7 +3664,7 @@ mp_err s_mp_div(mp_int *a, mp_int *b) while(ix >= 0) { /* Find a partial substring of a which is at least b */ while(s_mp_cmp(&rem, b) < 0 && ix >= 0) { - if((res = s_mp_lshd(&rem, 1)) != MP_OKAY) + if((res = s_mp_lshd(&rem, 1)) != MP_OKAY) goto CLEANUP; if((res = s_mp_lshd(", 1)) != MP_OKAY) @@ -3676,8 +3676,8 @@ mp_err s_mp_div(mp_int *a, mp_int *b) } /* If we didn't find one, we're finished dividing */ - if(s_mp_cmp(&rem, b) < 0) - break; + if(s_mp_cmp(&rem, b) < 0) + break; /* Compute a guess for the next quotient digit */ q = DIGIT(&rem, USED(&rem) - 1); @@ -3695,7 +3695,7 @@ mp_err s_mp_div(mp_int *a, mp_int *b) if((res = s_mp_mul_d(&t, q)) != MP_OKAY) goto CLEANUP; - /* + /* If it's too big, back it off. We should not have to do this more than once, or, in rare cases, twice. Knuth describes a method by which this could be reduced to a maximum of once, but @@ -3719,7 +3719,7 @@ mp_err s_mp_div(mp_int *a, mp_int *b) } /* Denormalize remainder */ - if(d != 0) + if(d != 0) s_mp_div_2d(&rem, d); s_mp_clamp("); @@ -3727,7 +3727,7 @@ mp_err s_mp_div(mp_int *a, mp_int *b) /* Copy quotient back to output */ s_mp_exch(", a); - + /* Copy remainder back to output */ s_mp_exch(&rem, b); @@ -3757,7 +3757,7 @@ mp_err s_mp_2expt(mp_int *a, mp_digit k) mp_zero(a); if((res = s_mp_pad(a, dig + 1)) != MP_OKAY) return res; - + DIGIT(a, dig) |= (1 << bit); return MP_OKAY; @@ -3815,7 +3815,7 @@ int s_mp_cmp_d(mp_int *a, mp_digit d) if(ua > 1) return MP_GT; - if(*ap < d) + if(*ap < d) return MP_LT; else if(*ap > d) return MP_GT; @@ -3857,7 +3857,7 @@ int s_mp_ispow2(mp_int *v) } return ((uv - 1) * DIGIT_BIT) + extra; - } + } return -1; @@ -3901,7 +3901,7 @@ int s_mp_ispow2d(mp_digit d) int s_mp_tovalue(char ch, int r) { int val, xch; - + if(r > 36) xch = ch; else @@ -3917,7 +3917,7 @@ int s_mp_tovalue(char ch, int r) val = 62; else if(xch == '/') val = 63; - else + else return -1; if(val < 0 || val >= r) @@ -3939,7 +3939,7 @@ int s_mp_tovalue(char ch, int r) The results may be odd if you use a radix < 2 or > 64, you are expected to know what you're doing. */ - + char s_mp_todigit(int val, int r, int low) { char ch; @@ -3960,7 +3960,7 @@ char s_mp_todigit(int val, int r, int low) /* {{{ s_mp_outlen(bits, radix) */ -/* +/* Return an estimate for how long a string is needed to hold a radix r representation of a number with 'bits' significant bits. @@ -3981,5 +3981,5 @@ int s_mp_outlen(int bits, int r) /* crc==4242132123, version==2, Sat Feb 02 06:43:52 2002 */ /* $Source$ */ -/* $Revision: 0.36 $ */ -/* $Date: 2005-08-01 16:37:28 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/mtest/mpi.h b/libtommath/mtest/mpi.h index 526c3fd..5accb52 100644 --- a/libtommath/mtest/mpi.h +++ b/libtommath/mtest/mpi.h @@ -6,7 +6,7 @@ Arbitrary precision integer arithmetic library - $ID$ + $Id$ */ #ifndef _H_MPI_ @@ -210,7 +210,7 @@ int mp_count_bits(mp_int *mp); mp_err mp_read_radix(mp_int *mp, unsigned char *str, int radix); int mp_radix_size(mp_int *mp, int radix); int mp_value_radix_size(int num, int qty, int radix); -mp_err mp_toradix(mp_int *mp, unsigned char *str, int radix); +mp_err mp_toradix(mp_int *mp, char *str, int radix); int mp_char2value(char ch, int r); @@ -227,5 +227,5 @@ const char *mp_strerror(mp_err ec); #endif /* end _H_MPI_ */ /* $Source$ */ -/* $Revision: 0.36 $ */ -/* $Date: 2005-08-01 16:37:28 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/mtest/mtest.c b/libtommath/mtest/mtest.c index 92f03ad..56b5a90 100644 --- a/libtommath/mtest/mtest.c +++ b/libtommath/mtest/mtest.c @@ -39,39 +39,71 @@ mulmod #include #include "mpi.c" +#ifdef LTM_MTEST_REAL_RAND +#define getRandChar() fgetc(rng) FILE *rng; +#else +#define getRandChar() (rand()&0xFF) +#endif void rand_num(mp_int *a) { - int n, size; + int size; unsigned char buf[2048]; + size_t sz; - size = 1 + ((fgetc(rng)<<8) + fgetc(rng)) % 101; - buf[0] = (fgetc(rng)&1)?1:0; - fread(buf+1, 1, size, rng); - while (buf[1] == 0) buf[1] = fgetc(rng); + size = 1 + ((getRandChar()<<8) + getRandChar()) % 101; + buf[0] = (getRandChar()&1)?1:0; +#ifdef LTM_MTEST_REAL_RAND + sz = fread(buf+1, 1, size, rng); +#else + sz = 1; + while (sz < (unsigned)size) { + buf[sz] = getRandChar(); + ++sz; + } +#endif + if (sz != (unsigned)size) { + fprintf(stderr, "\nWarning: fread failed\n\n"); + } + while (buf[1] == 0) buf[1] = getRandChar(); mp_read_raw(a, buf, 1+size); } void rand_num2(mp_int *a) { - int n, size; + int size; unsigned char buf[2048]; + size_t sz; - size = 10 + ((fgetc(rng)<<8) + fgetc(rng)) % 101; - buf[0] = (fgetc(rng)&1)?1:0; - fread(buf+1, 1, size, rng); - while (buf[1] == 0) buf[1] = fgetc(rng); + size = 10 + ((getRandChar()<<8) + getRandChar()) % 101; + buf[0] = (getRandChar()&1)?1:0; +#ifdef LTM_MTEST_REAL_RAND + sz = fread(buf+1, 1, size, rng); +#else + sz = 1; + while (sz < (unsigned)size) { + buf[sz] = getRandChar(); + ++sz; + } +#endif + if (sz != (unsigned)size) { + fprintf(stderr, "\nWarning: fread failed\n\n"); + } + while (buf[1] == 0) buf[1] = getRandChar(); mp_read_raw(a, buf, 1+size); } #define mp_to64(a, b) mp_toradix(a, b, 64) -int main(void) +int main(int argc, char *argv[]) { int n, tmp; + long long max; mp_int a, b, c, d, e; +#ifdef MTEST_NO_FULLSPEED clock_t t1; +#endif char buf[4096]; mp_init(&a); @@ -80,6 +112,22 @@ int main(void) mp_init(&d); mp_init(&e); + if (argc > 1) { + max = strtol(argv[1], NULL, 0); + if (max < 0) { + if (max > -64) { + max = (1 << -(max)) + 1; + } else { + max = 1; + } + } else if (max == 0) { + max = 1; + } + } + else { + max = 0; + } + /* initial (2^n - 1)^2 testing, makes sure the comba multiplier works [it has the new carry code] */ /* @@ -98,6 +146,7 @@ int main(void) } */ +#ifdef LTM_MTEST_REAL_RAND rng = fopen("/dev/urandom", "rb"); if (rng == NULL) { rng = fopen("/dev/random", "rb"); @@ -106,16 +155,27 @@ int main(void) rng = stdin; } } +#else + srand(23); +#endif +#ifdef MTEST_NO_FULLSPEED t1 = clock(); +#endif for (;;) { -#if 0 +#ifdef MTEST_NO_FULLSPEED if (clock() - t1 > CLOCKS_PER_SEC) { sleep(2); t1 = clock(); } #endif - n = fgetc(rng) % 15; + n = getRandChar() % 15; + + if (max != 0) { + --max; + if (max == 0) + n = 255; + } if (n == 0) { /* add tests */ @@ -180,7 +240,7 @@ int main(void) /* mul_2d test */ rand_num(&a); mp_copy(&a, &b); - n = fgetc(rng) & 63; + n = getRandChar() & 63; mp_mul_2d(&b, n, &b); mp_to64(&a, buf); printf("mul2d\n"); @@ -192,7 +252,7 @@ int main(void) /* div_2d test */ rand_num(&a); mp_copy(&a, &b); - n = fgetc(rng) & 63; + n = getRandChar() & 63; mp_div_2d(&b, n, &b, NULL); mp_to64(&a, buf); printf("div2d\n"); @@ -297,12 +357,18 @@ int main(void) printf("%s\n%d\n", buf, tmp); mp_to64(&b, buf); printf("%s\n", buf); + } else if (n == 255) { + printf("exit\n"); + break; } + } +#ifdef LTM_MTEST_REAL_RAND fclose(rng); +#endif return 0; } /* $Source$ */ -/* $Revision: 0.36 $ */ -/* $Date: 2005-08-01 16:37:28 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/parsenames.pl b/libtommath/parsenames.pl new file mode 100755 index 0000000..cc57673 --- /dev/null +++ b/libtommath/parsenames.pl @@ -0,0 +1,25 @@ +#!/usr/bin/perl +# +# Splits the list of files and outputs for makefile type files +# wrapped at 80 chars +# +# Tom St Denis +@a = split(" ", $ARGV[1]); +$b = "$ARGV[0]="; +$len = length($b); +print $b; +foreach my $obj (@a) { + $len = $len + length($obj); + $obj =~ s/\*/\$/; + if ($len > 100) { + printf "\\\n"; + $len = length($obj); + } + print "$obj "; +} + +print "\n\n"; + +# $Source$ +# $Revision$ +# $Date$ diff --git a/libtommath/poster.pdf b/libtommath/poster.pdf index dc80fbb..f212c3e 100644 Binary files a/libtommath/poster.pdf and b/libtommath/poster.pdf differ diff --git a/libtommath/pre_gen/mpi.c b/libtommath/pre_gen/mpi.c index 7ba9d83..0d55d73 100644 --- a/libtommath/pre_gen/mpi.c +++ b/libtommath/pre_gen/mpi.c @@ -44,8 +44,8 @@ char *mp_error_to_string(int code) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_error.c */ @@ -67,10 +67,10 @@ char *mp_error_to_string(int code) * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ -/* computes the modular inverse via binary extended euclidean algorithm, - * that is c = 1/a mod b +/* computes the modular inverse via binary extended euclidean algorithm, + * that is c = 1/a mod b * - * Based on slow invmod except this is optimized for the case where b is + * Based on slow invmod except this is optimized for the case where b is * odd as per HAC Note 14.64 on pp. 610 */ int fast_mp_invmod (mp_int * a, mp_int * b, mp_int * c) @@ -196,8 +196,8 @@ LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &B, &D, NULL); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_fast_mp_invmod.c */ @@ -372,8 +372,8 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_fast_mp_montgomery_reduce.c */ @@ -397,15 +397,15 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) /* Fast (comba) multiplier * - * This is the fast column-array [comba] multiplier. It is - * designed to compute the columns of the product first - * then handle the carries afterwards. This has the effect + * This is the fast column-array [comba] multiplier. It is + * designed to compute the columns of the product first + * then handle the carries afterwards. This has the effect * of making the nested loops that compute the columns very * simple and schedulable on super-scalar processors. * - * This has been modified to produce a variable number of - * digits of output so if say only a half-product is required - * you don't have to compute the upper half (a feature + * This has been modified to produce a variable number of + * digits of output so if say only a half-product is required + * you don't have to compute the upper half (a feature * required for fast Barrett reduction). * * Based on Algorithm 14.12 on pp.595 of HAC. @@ -429,7 +429,7 @@ int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) /* clear the carry */ _W = 0; - for (ix = 0; ix < pa; ix++) { + for (ix = 0; ix < pa; ix++) { int tx, ty; int iy; mp_digit *tmpx, *tmpy; @@ -442,7 +442,7 @@ int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) tmpx = a->dp + tx; tmpy = b->dp + ty; - /* this is the number of times the loop will iterrate, essentially + /* this is the number of times the loop will iterrate, essentially while (tx++ < a->used && ty-- >= 0) { ... } */ iy = MIN(a->used-tx, ty+1); @@ -483,8 +483,8 @@ int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_fast_s_mp_mul_digs.c */ @@ -532,7 +532,7 @@ int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) /* number of output digits to produce */ pa = a->used + b->used; _W = 0; - for (ix = digs; ix < pa; ix++) { + for (ix = digs; ix < pa; ix++) { int tx, ty, iy; mp_digit *tmpx, *tmpy; @@ -544,7 +544,7 @@ int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) tmpx = a->dp + tx; tmpy = b->dp + ty; - /* this is the number of times the loop will iterrate, essentially its + /* this is the number of times the loop will iterrate, essentially its while (tx++ < a->used && ty-- >= 0) { ... } */ iy = MIN(a->used-tx, ty+1); @@ -560,7 +560,7 @@ int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) /* make next carry */ _W = _W >> ((mp_word)DIGIT_BIT); } - + /* setup dest */ olduse = c->used; c->used = pa; @@ -585,8 +585,8 @@ int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_fast_s_mp_mul_high_digs.c */ @@ -609,10 +609,10 @@ int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) */ /* the jist of squaring... - * you do like mult except the offset of the tmpx [one that - * starts closer to zero] can't equal the offset of tmpy. + * you do like mult except the offset of the tmpx [one that + * starts closer to zero] can't equal the offset of tmpy. * So basically you set up iy like before then you min it with - * (ty-tx) so that it never happens. You double all those + * (ty-tx) so that it never happens. You double all those * you add in the inner loop After that loop you do the squares and add them in. @@ -634,7 +634,7 @@ int fast_s_mp_sqr (mp_int * a, mp_int * b) /* number of output digits to produce */ W1 = 0; - for (ix = 0; ix < pa; ix++) { + for (ix = 0; ix < pa; ix++) { int tx, ty, iy; mp_word _W; mp_digit *tmpy; @@ -655,7 +655,7 @@ int fast_s_mp_sqr (mp_int * a, mp_int * b) */ iy = MIN(a->used-tx, ty+1); - /* now for squaring tx can never equal ty + /* now for squaring tx can never equal ty * we halve the distance since they approach at a rate of 2x * and we have to round because odd cases need to be executed */ @@ -703,8 +703,8 @@ int fast_s_mp_sqr (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_fast_s_mp_sqr.c */ @@ -726,7 +726,7 @@ int fast_s_mp_sqr (mp_int * a, mp_int * b) * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ -/* computes a = 2**b +/* computes a = 2**b * * Simple algorithm which zeroes the int, grows it then just sets one bit * as required. @@ -755,8 +755,8 @@ mp_2expt (mp_int * a, int b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_2expt.c */ @@ -778,7 +778,7 @@ mp_2expt (mp_int * a, int b) * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ -/* b = |a| +/* b = |a| * * Simple function copies the input and fixes the sign to positive */ @@ -802,8 +802,8 @@ mp_abs (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_abs.c */ @@ -859,8 +859,8 @@ int mp_add (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_add.c */ @@ -975,8 +975,8 @@ mp_add_d (mp_int * a, mp_digit b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_add_d.c */ @@ -1020,8 +1020,8 @@ mp_addmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_addmod.c */ @@ -1081,8 +1081,8 @@ mp_and (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_and.c */ @@ -1104,7 +1104,7 @@ mp_and (mp_int * a, mp_int * b, mp_int * c) * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ -/* trim unused digits +/* trim unused digits * * This is used to ensure that leading zero digits are * trimed and the leading "used" digit will be non-zero @@ -1129,8 +1129,8 @@ mp_clamp (mp_int * a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_clamp.c */ @@ -1177,8 +1177,8 @@ mp_clear (mp_int * a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_clear.c */ @@ -1201,7 +1201,7 @@ mp_clear (mp_int * a) */ #include -void mp_clear_multi(mp_int *mp, ...) +void mp_clear_multi(mp_int *mp, ...) { mp_int* next_mp = mp; va_list args; @@ -1215,8 +1215,8 @@ void mp_clear_multi(mp_int *mp, ...) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_clear_multi.c */ @@ -1250,7 +1250,7 @@ mp_cmp (mp_int * a, mp_int * b) return MP_GT; } } - + /* compare digits */ if (a->sign == MP_NEG) { /* if negative compare opposite direction */ @@ -1262,8 +1262,8 @@ mp_cmp (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_cmp.c */ @@ -1310,8 +1310,8 @@ int mp_cmp_d(mp_int * a, mp_digit b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_cmp_d.c */ @@ -1343,7 +1343,7 @@ int mp_cmp_mag (mp_int * a, mp_int * b) if (a->used > b->used) { return MP_GT; } - + if (a->used < b->used) { return MP_LT; } @@ -1369,8 +1369,8 @@ int mp_cmp_mag (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_cmp_mag.c */ @@ -1392,7 +1392,7 @@ int mp_cmp_mag (mp_int * a, mp_int * b) * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ -static const int lnz[16] = { +static const int lnz[16] = { 4, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0 }; @@ -1426,8 +1426,8 @@ int mp_cnt_lsb(mp_int *a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_cnt_lsb.c */ @@ -1498,8 +1498,8 @@ mp_copy (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_copy.c */ @@ -1535,7 +1535,7 @@ mp_count_bits (mp_int * a) /* get number of digits and add that */ r = (a->used - 1) * DIGIT_BIT; - + /* take the last digit and count the bits in it */ q = a->dp[a->used - 1]; while (q > ((mp_digit) 0)) { @@ -1547,8 +1547,8 @@ mp_count_bits (mp_int * a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_count_bits.c */ @@ -1605,7 +1605,7 @@ int mp_div(mp_int * a, mp_int * b, mp_int * c, mp_int * d) mp_set(&tq, 1); n = mp_count_bits(a) - mp_count_bits(b); if (((res = mp_abs(a, &ta)) != MP_OKAY) || - ((res = mp_abs(b, &tb)) != MP_OKAY) || + ((res = mp_abs(b, &tb)) != MP_OKAY) || ((res = mp_mul_2d(&tb, n, &tb)) != MP_OKAY) || ((res = mp_mul_2d(&tq, n, &tq)) != MP_OKAY)) { goto LBL_ERR; @@ -1642,17 +1642,17 @@ LBL_ERR: #else -/* integer signed division. +/* integer signed division. * c*b + d == a [e.g. a/b, c=quotient, d=remainder] * HAC pp.598 Algorithm 14.20 * - * Note that the description in HAC is horribly - * incomplete. For example, it doesn't consider - * the case where digits are removed from 'x' in - * the inner loop. It also doesn't consider the + * Note that the description in HAC is horribly + * incomplete. For example, it doesn't consider + * the case where digits are removed from 'x' in + * the inner loop. It also doesn't consider the * case that y has fewer than three digits, etc.. * - * The overall algorithm is as described as + * The overall algorithm is as described as * 14.20 from HAC but fixed to treat these cases. */ int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) @@ -1742,7 +1742,7 @@ int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) continue; } - /* step 3.1 if xi == yt then set q{i-t-1} to b-1, + /* step 3.1 if xi == yt then set q{i-t-1} to b-1, * otherwise set q{i-t-1} to (xi*b + x{i-1})/yt */ if (x.dp[i] == y.dp[t]) { q.dp[i - t - 1] = ((((mp_digit)1) << DIGIT_BIT) - 1); @@ -1756,10 +1756,10 @@ int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) q.dp[i - t - 1] = (mp_digit) (tmp & (mp_word) (MP_MASK)); } - /* while (q{i-t-1} * (yt * b + y{t-1})) > - xi * b**2 + xi-1 * b + xi-2 - - do q{i-t-1} -= 1; + /* while (q{i-t-1} * (yt * b + y{t-1})) > + xi * b**2 + xi-1 * b + xi-2 + + do q{i-t-1} -= 1; */ q.dp[i - t - 1] = (q.dp[i - t - 1] + 1) & MP_MASK; do { @@ -1810,10 +1810,10 @@ int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) } } - /* now q is the quotient and x is the remainder - * [which we have to normalize] + /* now q is the quotient and x is the remainder + * [which we have to normalize] */ - + /* get sign before writing to c */ x.sign = x.used == 0 ? MP_ZPOS : a->sign; @@ -1843,8 +1843,8 @@ LBL_Q:mp_clear (&q); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_div.c */ @@ -1915,8 +1915,8 @@ int mp_div_2(mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_div_2.c */ @@ -2016,8 +2016,8 @@ int mp_div_2d (mp_int * a, int b, mp_int * c, mp_int * d) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_div_2d.c */ @@ -2047,14 +2047,14 @@ mp_div_3 (mp_int * a, mp_int *c, mp_digit * d) mp_word w, t; mp_digit b; int res, ix; - + /* b = 2**DIGIT_BIT / 3 */ b = (((mp_word)1) << ((mp_word)DIGIT_BIT)) / ((mp_word)3); if ((res = mp_init_size(&q, a->used)) != MP_OKAY) { return res; } - + q.used = a->used; q.sign = a->sign; w = 0; @@ -2092,15 +2092,15 @@ mp_div_3 (mp_int * a, mp_int *c, mp_digit * d) mp_exch(&q, c); } mp_clear(&q); - + return res; } #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_div_3.c */ @@ -2186,13 +2186,13 @@ int mp_div_d (mp_int * a, mp_digit b, mp_int * c, mp_digit * d) if ((res = mp_init_size(&q, a->used)) != MP_OKAY) { return res; } - + q.used = a->used; q.sign = a->sign; w = 0; for (ix = a->used - 1; ix >= 0; ix--) { w = (w << ((mp_word)DIGIT_BIT)) | ((mp_word)a->dp[ix]); - + if (w >= b) { t = (mp_digit)(w / b); w -= ((mp_word)t) * ((mp_word)b); @@ -2201,25 +2201,25 @@ int mp_div_d (mp_int * a, mp_digit b, mp_int * c, mp_digit * d) } q.dp[ix] = (mp_digit)t; } - + if (d != NULL) { *d = (mp_digit)w; } - + if (c != NULL) { mp_clamp(&q); mp_exch(&q, c); } mp_clear(&q); - + return res; } #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_div_d.c */ @@ -2265,8 +2265,8 @@ int mp_dr_is_modulus(mp_int *a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_dr_is_modulus.c */ @@ -2363,8 +2363,8 @@ top: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_dr_reduce.c */ @@ -2392,15 +2392,15 @@ void mp_dr_setup(mp_int *a, mp_digit *d) /* the casts are required if DIGIT_BIT is one less than * the number of bits in a mp_digit [e.g. DIGIT_BIT==31] */ - *d = (mp_digit)((((mp_word)1) << ((mp_word)DIGIT_BIT)) - + *d = (mp_digit)((((mp_word)1) << ((mp_word)DIGIT_BIT)) - ((mp_word)a->dp[0])); } #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_dr_setup.c */ @@ -2422,7 +2422,7 @@ void mp_dr_setup(mp_int *a, mp_digit *d) * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ -/* swap the elements of two integers, for cases where you can't simply swap the +/* swap the elements of two integers, for cases where you can't simply swap the * mp_int pointers around */ void @@ -2437,8 +2437,8 @@ mp_exch (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_exch.c */ @@ -2498,8 +2498,8 @@ int mp_expt_d (mp_int * a, mp_digit b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_expt_d.c */ @@ -2565,7 +2565,7 @@ int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) err = mp_exptmod(&tmpG, &tmpX, P, Y); mp_clear_multi(&tmpG, &tmpX, NULL); return err; -#else +#else /* no invmod */ return MP_VAL; #endif @@ -2592,7 +2592,7 @@ int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) dr = mp_reduce_is_2k(P) << 1; } #endif - + /* if the modulus is odd or dr != 0 use the montgomery method */ #ifdef BN_MP_EXPTMOD_FAST_C if (mp_isodd (P) == 1 || dr != 0) { @@ -2614,8 +2614,8 @@ int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_exptmod.c */ @@ -2706,7 +2706,7 @@ int mp_exptmod_fast (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode /* determine and setup reduction code */ if (redmode == 0) { -#ifdef BN_MP_MONTGOMERY_SETUP_C +#ifdef BN_MP_MONTGOMERY_SETUP_C /* now setup montgomery */ if ((err = mp_montgomery_setup (P, &mp)) != MP_OKAY) { goto LBL_M; @@ -2721,7 +2721,7 @@ int mp_exptmod_fast (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode if (((P->used * 2 + 1) < MP_WARRAY) && P->used < (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { redux = fast_mp_montgomery_reduce; - } else + } else #endif { #ifdef BN_MP_MONTGOMERY_REDUCE_C @@ -2772,7 +2772,7 @@ int mp_exptmod_fast (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode if ((err = mp_montgomery_calc_normalization (&res, P)) != MP_OKAY) { goto LBL_RES; } -#else +#else err = MP_VAL; goto LBL_RES; #endif @@ -2939,8 +2939,8 @@ LBL_M: /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_exptmod_fast.c */ @@ -2962,7 +2962,7 @@ LBL_M: * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ -/* Extended euclidean algorithm of (a, b) produces +/* Extended euclidean algorithm of (a, b) produces a*u1 + b*u2 = u3 */ int mp_exteuclid(mp_int *a, mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3) @@ -3025,8 +3025,8 @@ _ERR: mp_clear_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_exteuclid.c */ @@ -3052,10 +3052,10 @@ _ERR: mp_clear_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL int mp_fread(mp_int *a, int radix, FILE *stream) { int err, ch, neg, y; - + /* clear a */ mp_zero(a); - + /* if first digit is - then set negative */ ch = fgetc(stream); if (ch == '-') { @@ -3064,7 +3064,7 @@ int mp_fread(mp_int *a, int radix, FILE *stream) } else { neg = MP_ZPOS; } - + for (;;) { /* find y in the radix map */ for (y = 0; y < radix; y++) { @@ -3075,7 +3075,7 @@ int mp_fread(mp_int *a, int radix, FILE *stream) if (y == radix) { break; } - + /* shift up and add */ if ((err = mp_mul_d(a, radix, a)) != MP_OKAY) { return err; @@ -3083,21 +3083,21 @@ int mp_fread(mp_int *a, int radix, FILE *stream) if ((err = mp_add_d(a, y, a)) != MP_OKAY) { return err; } - + ch = fgetc(stream); } if (mp_cmp_d(a, 0) != MP_EQ) { a->sign = neg; } - + return MP_OKAY; } #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_fread.c */ @@ -3123,7 +3123,7 @@ int mp_fwrite(mp_int *a, int radix, FILE *stream) { char *buf; int err, len, x; - + if ((err = mp_radix_size(a, radix, &len)) != MP_OKAY) { return err; } @@ -3132,19 +3132,19 @@ int mp_fwrite(mp_int *a, int radix, FILE *stream) if (buf == NULL) { return MP_MEM; } - + if ((err = mp_toradix(a, buf, radix)) != MP_OKAY) { XFREE (buf); return err; } - + for (x = 0; x < len; x++) { if (fputc(buf[x], stream) == EOF) { XFREE (buf); return MP_VAL; } } - + XFREE (buf); return MP_OKAY; } @@ -3152,8 +3152,8 @@ int mp_fwrite(mp_int *a, int radix, FILE *stream) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_fwrite.c */ @@ -3236,17 +3236,17 @@ int mp_gcd (mp_int * a, mp_int * b, mp_int * c) /* swap u and v to make sure v is >= u */ mp_exch(&u, &v); } - + /* subtract smallest from largest */ if ((res = s_mp_sub(&v, &u, &v)) != MP_OKAY) { goto LBL_V; } - + /* Divide out all factors of two */ if ((res = mp_div_2d(&v, mp_cnt_lsb(&v), &v, NULL)) != MP_OKAY) { goto LBL_V; - } - } + } + } /* multiply by 2**k which we divided out at the beginning */ if ((res = mp_mul_2d (&u, k, c)) != MP_OKAY) { @@ -3261,8 +3261,8 @@ LBL_U:mp_clear (&v); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_gcd.c */ @@ -3285,7 +3285,7 @@ LBL_U:mp_clear (&v); */ /* get the lower 32-bits of an mp_int */ -unsigned long mp_get_int(mp_int * a) +unsigned long mp_get_int(mp_int * a) { int i; unsigned long res; @@ -3299,7 +3299,7 @@ unsigned long mp_get_int(mp_int * a) /* get most significant digit of result */ res = DIGIT(a,i); - + while (--i >= 0) { res = (res << DIGIT_BIT) | DIGIT(a,i); } @@ -3310,8 +3310,8 @@ unsigned long mp_get_int(mp_int * a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_get_int.c */ @@ -3371,8 +3371,8 @@ int mp_grow (mp_int * a, int size) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_grow.c */ @@ -3421,8 +3421,8 @@ int mp_init (mp_int * a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_init.c */ @@ -3457,8 +3457,8 @@ int mp_init_copy (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_init_copy.c */ @@ -3481,7 +3481,7 @@ int mp_init_copy (mp_int * a, mp_int * b) */ #include -int mp_init_multi(mp_int *mp, ...) +int mp_init_multi(mp_int *mp, ...) { mp_err res = MP_OKAY; /* Assume ok until proven otherwise */ int n = 0; /* Number of ok inits */ @@ -3495,11 +3495,11 @@ int mp_init_multi(mp_int *mp, ...) succeeded in init-ing, then return error. */ va_list clean_args; - + /* end the current list */ va_end(args); - - /* now start cleaning up */ + + /* now start cleaning up */ cur_arg = mp; va_start(clean_args, mp); while (n--) { @@ -3520,8 +3520,8 @@ int mp_init_multi(mp_int *mp, ...) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_init_multi.c */ @@ -3556,8 +3556,8 @@ int mp_init_set (mp_int * a, mp_digit b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_init_set.c */ @@ -3591,8 +3591,8 @@ int mp_init_set_int (mp_int * a, unsigned long b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_init_set_int.c */ @@ -3621,7 +3621,7 @@ int mp_init_size (mp_int * a, int size) /* pad size so there are always extra digits */ size += (MP_PREC * 2) - (size % MP_PREC); - + /* alloc mem */ a->dp = OPT_CAST(mp_digit) XMALLOC (sizeof (mp_digit) * size); if (a->dp == NULL) { @@ -3643,8 +3643,8 @@ int mp_init_size (mp_int * a, int size) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_init_size.c */ @@ -3690,8 +3690,8 @@ int mp_invmod (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_invmod.c */ @@ -3725,7 +3725,7 @@ int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c) } /* init temps */ - if ((res = mp_init_multi(&x, &y, &u, &v, + if ((res = mp_init_multi(&x, &y, &u, &v, &A, &B, &C, &D, NULL)) != MP_OKAY) { return res; } @@ -3852,14 +3852,14 @@ top: goto LBL_ERR; } } - + /* too big */ while (mp_cmp_mag(&C, b) != MP_LT) { if ((res = mp_sub(&C, b, &C)) != MP_OKAY) { goto LBL_ERR; } } - + /* C is now the inverse */ mp_exch (&C, c); res = MP_OKAY; @@ -3869,8 +3869,8 @@ LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &A, &B, &C, &D, NULL); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_invmod_slow.c */ @@ -3915,7 +3915,7 @@ static const char rem_105[105] = { }; /* Store non-zero to ret if arg is square, and zero if not */ -int mp_is_square(mp_int *arg,int *ret) +int mp_is_square(mp_int *arg,int *ret) { int res; mp_digit c; @@ -3923,7 +3923,7 @@ int mp_is_square(mp_int *arg,int *ret) unsigned long r; /* Default to Non-square :) */ - *ret = MP_NO; + *ret = MP_NO; if (arg->sign == MP_NEG) { return MP_VAL; @@ -3957,8 +3957,8 @@ int mp_is_square(mp_int *arg,int *ret) r = mp_get_int(&t); /* Check for other prime modules, note it's not an ERROR but we must * free "t" so the easiest way is to goto ERR. We know that res - * is already equal to MP_OKAY from the mp_mod call - */ + * is already equal to MP_OKAY from the mp_mod call + */ if ( (1L<<(r%11)) & 0x5C4L ) goto ERR; if ( (1L<<(r%13)) & 0x9E4L ) goto ERR; if ( (1L<<(r%17)) & 0x5CE8L ) goto ERR; @@ -3982,8 +3982,8 @@ ERR:mp_clear(&t); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_is_square.c */ @@ -4091,8 +4091,8 @@ LBL_A1:mp_clear (&a1); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_jacobi.c */ @@ -4114,33 +4114,33 @@ LBL_A1:mp_clear (&a1); * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ -/* c = |a| * |b| using Karatsuba Multiplication using +/* c = |a| * |b| using Karatsuba Multiplication using * three half size multiplications * - * Let B represent the radix [e.g. 2**DIGIT_BIT] and - * let n represent half of the number of digits in + * Let B represent the radix [e.g. 2**DIGIT_BIT] and + * let n represent half of the number of digits in * the min(a,b) * * a = a1 * B**n + a0 * b = b1 * B**n + b0 * - * Then, a * b => + * Then, a * b => a1b1 * B**2n + ((a1 + a0)(b1 + b0) - (a0b0 + a1b1)) * B + a0b0 * - * Note that a1b1 and a0b0 are used twice and only need to be - * computed once. So in total three half size (half # of - * digit) multiplications are performed, a0b0, a1b1 and + * Note that a1b1 and a0b0 are used twice and only need to be + * computed once. So in total three half size (half # of + * digit) multiplications are performed, a0b0, a1b1 and * (a1+b1)(a0+b0) * * Note that a multiplication of half the digits requires - * 1/4th the number of single precision multiplications so in - * total after one call 25% of the single precision multiplications - * are saved. Note also that the call to mp_mul can end up back - * in this function if the a0, a1, b0, or b1 are above the threshold. - * This is known as divide-and-conquer and leads to the famous - * O(N**lg(3)) or O(N**1.584) work which is asymptopically lower than - * the standard O(N**2) that the baseline/comba methods use. - * Generally though the overhead of this method doesn't pay off + * 1/4th the number of single precision multiplications so in + * total after one call 25% of the single precision multiplications + * are saved. Note also that the call to mp_mul can end up back + * in this function if the a0, a1, b0, or b1 are above the threshold. + * This is known as divide-and-conquer and leads to the famous + * O(N**lg(3)) or O(N**1.584) work which is asymptopically lower than + * the standard O(N**2) that the baseline/comba methods use. + * Generally though the overhead of this method doesn't pay off * until a certain size (N ~ 80) is reached. */ int mp_karatsuba_mul (mp_int * a, mp_int * b, mp_int * c) @@ -4208,7 +4208,7 @@ int mp_karatsuba_mul (mp_int * a, mp_int * b, mp_int * c) } } - /* only need to clamp the lower words since by definition the + /* only need to clamp the lower words since by definition the * upper words x1/y1 must have a known number of digits */ mp_clamp (&x0); @@ -4216,7 +4216,7 @@ int mp_karatsuba_mul (mp_int * a, mp_int * b, mp_int * c) /* now calc the products x0y0 and x1y1 */ /* after this x0 is no longer required, free temp [x0==t2]! */ - if (mp_mul (&x0, &y0, &x0y0) != MP_OKAY) + if (mp_mul (&x0, &y0, &x0y0) != MP_OKAY) goto X1Y1; /* x0y0 = x0*y0 */ if (mp_mul (&x1, &y1, &x1y1) != MP_OKAY) goto X1Y1; /* x1y1 = x1*y1 */ @@ -4262,8 +4262,8 @@ ERR: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_karatsuba_mul.c */ @@ -4285,11 +4285,11 @@ ERR: * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ -/* Karatsuba squaring, computes b = a*a using three +/* Karatsuba squaring, computes b = a*a using three * half size squarings * - * See comments of karatsuba_mul for details. It - * is essentially the same algorithm but merely + * See comments of karatsuba_mul for details. It + * is essentially the same algorithm but merely * tuned to perform recursive squarings. */ int mp_karatsuba_sqr (mp_int * a, mp_int * b) @@ -4387,8 +4387,8 @@ ERR: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_karatsuba_sqr.c */ @@ -4451,8 +4451,8 @@ LBL_T: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_lcm.c */ @@ -4522,8 +4522,8 @@ int mp_lshd (mp_int * a, int b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_lshd.c */ @@ -4574,8 +4574,8 @@ mp_mod (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_mod.c */ @@ -4633,8 +4633,8 @@ mp_mod_2d (mp_int * a, int b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_mod_2d.c */ @@ -4664,8 +4664,8 @@ mp_mod_d (mp_int * a, mp_digit b, mp_digit * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_mod_d.c */ @@ -4727,8 +4727,8 @@ int mp_montgomery_calc_normalization (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_montgomery_calc_normalization.c */ @@ -4849,8 +4849,8 @@ mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_montgomery_reduce.c */ @@ -4912,8 +4912,8 @@ mp_montgomery_setup (mp_int * n, mp_digit * rho) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_montgomery_setup.c */ @@ -4945,29 +4945,29 @@ int mp_mul (mp_int * a, mp_int * b, mp_int * c) #ifdef BN_MP_TOOM_MUL_C if (MIN (a->used, b->used) >= TOOM_MUL_CUTOFF) { res = mp_toom_mul(a, b, c); - } else + } else #endif #ifdef BN_MP_KARATSUBA_MUL_C /* use Karatsuba? */ if (MIN (a->used, b->used) >= KARATSUBA_MUL_CUTOFF) { res = mp_karatsuba_mul (a, b, c); - } else + } else #endif { /* can we use the fast multiplier? * - * The fast multiplier can be used if the output will - * have less than MP_WARRAY digits and the number of + * The fast multiplier can be used if the output will + * have less than MP_WARRAY digits and the number of * digits won't affect carry propagation */ int digs = a->used + b->used + 1; #ifdef BN_FAST_S_MP_MUL_DIGS_C if ((digs < MP_WARRAY) && - MIN(a->used, b->used) <= + MIN(a->used, b->used) <= (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { res = fast_s_mp_mul_digs (a, b, c, digs); - } else + } else #endif #ifdef BN_S_MP_MUL_DIGS_C res = s_mp_mul (a, b, c); /* uses s_mp_mul_digs */ @@ -4982,8 +4982,8 @@ int mp_mul (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_mul.c */ @@ -5025,24 +5025,24 @@ int mp_mul_2(mp_int * a, mp_int * b) /* alias for source */ tmpa = a->dp; - + /* alias for dest */ tmpb = b->dp; /* carry */ r = 0; for (x = 0; x < a->used; x++) { - - /* get what will be the *next* carry bit from the - * MSB of the current digit + + /* get what will be the *next* carry bit from the + * MSB of the current digit */ rr = *tmpa >> ((mp_digit)(DIGIT_BIT - 1)); - + /* now shift up this digit, add in the carry [from the previous] */ *tmpb++ = ((*tmpa++ << ((mp_digit)1)) | r) & MP_MASK; - - /* copy the carry that would be from the source - * digit into the next iteration + + /* copy the carry that would be from the source + * digit into the next iteration */ r = rr; } @@ -5054,8 +5054,8 @@ int mp_mul_2(mp_int * a, mp_int * b) ++(b->used); } - /* now zero any excess digits on the destination - * that we didn't write to + /* now zero any excess digits on the destination + * that we didn't write to */ tmpb = b->dp + b->used; for (x = b->used; x < oldused; x++) { @@ -5068,8 +5068,8 @@ int mp_mul_2(mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_mul_2.c */ @@ -5145,7 +5145,7 @@ int mp_mul_2d (mp_int * a, int b, mp_int * c) /* set the carry to the carry bits of the current word */ r = rr; } - + /* set final carry */ if (r != 0) { c->dp[(c->used)++] = r; @@ -5157,8 +5157,8 @@ int mp_mul_2d (mp_int * a, int b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_mul_2d.c */ @@ -5240,8 +5240,8 @@ mp_mul_d (mp_int * a, mp_digit b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_mul_d.c */ @@ -5284,8 +5284,8 @@ int mp_mulmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_mulmod.c */ @@ -5307,14 +5307,14 @@ int mp_mulmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ -/* find the n'th root of an integer +/* find the n'th root of an integer * - * Result found such that (c)**b <= a and (c+1)**b > a + * Result found such that (c)**b <= a and (c+1)**b > a * - * This algorithm uses Newton's approximation - * x[i+1] = x[i] - f(x[i])/f'(x[i]) - * which will find the root in log(N) time where - * each step involves a fair bit. This is not meant to + * This algorithm uses Newton's approximation + * x[i+1] = x[i] - f(x[i])/f'(x[i]) + * which will find the root in log(N) time where + * each step involves a fair bit. This is not meant to * find huge roots [square and cube, etc]. */ int mp_n_root (mp_int * a, mp_digit b, mp_int * c) @@ -5353,31 +5353,31 @@ int mp_n_root (mp_int * a, mp_digit b, mp_int * c) } /* t2 = t1 - ((t1**b - a) / (b * t1**(b-1))) */ - + /* t3 = t1**(b-1) */ - if ((res = mp_expt_d (&t1, b - 1, &t3)) != MP_OKAY) { + if ((res = mp_expt_d (&t1, b - 1, &t3)) != MP_OKAY) { goto LBL_T3; } /* numerator */ /* t2 = t1**b */ - if ((res = mp_mul (&t3, &t1, &t2)) != MP_OKAY) { + if ((res = mp_mul (&t3, &t1, &t2)) != MP_OKAY) { goto LBL_T3; } /* t2 = t1**b - a */ - if ((res = mp_sub (&t2, a, &t2)) != MP_OKAY) { + if ((res = mp_sub (&t2, a, &t2)) != MP_OKAY) { goto LBL_T3; } /* denominator */ /* t3 = t1**(b-1) * b */ - if ((res = mp_mul_d (&t3, b, &t3)) != MP_OKAY) { + if ((res = mp_mul_d (&t3, b, &t3)) != MP_OKAY) { goto LBL_T3; } /* t3 = (t1**b - a)/(b * t1**(b-1)) */ - if ((res = mp_div (&t2, &t3, &t3, NULL)) != MP_OKAY) { + if ((res = mp_div (&t2, &t3, &t3, NULL)) != MP_OKAY) { goto LBL_T3; } @@ -5420,8 +5420,8 @@ LBL_T1:mp_clear (&t1); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_n_root.c */ @@ -5464,8 +5464,8 @@ int mp_neg (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_neg.c */ @@ -5518,8 +5518,8 @@ int mp_or (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_or.c */ @@ -5542,7 +5542,7 @@ int mp_or (mp_int * a, mp_int * b, mp_int * c) */ /* performs one Fermat test. - * + * * If "a" were prime then b**a == b (mod a) since the order of * the multiplicative sub-group would be phi(a) = a-1. That means * it would be the same as b**(a mod (a-1)) == b**1 == b (mod a). @@ -5584,8 +5584,8 @@ LBL_T:mp_clear (&t); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_prime_fermat.c */ @@ -5607,7 +5607,7 @@ LBL_T:mp_clear (&t); * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ -/* determines if an integers is divisible by one +/* determines if an integers is divisible by one * of the first PRIME_SIZE primes or not * * sets result to 0 if not, 1 if yes @@ -5638,8 +5638,8 @@ int mp_prime_is_divisible (mp_int * a, int *result) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_prime_is_divisible.c */ @@ -5725,8 +5725,8 @@ LBL_B:mp_clear (&b); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_prime_is_prime.c */ @@ -5748,11 +5748,11 @@ LBL_B:mp_clear (&b); * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ -/* Miller-Rabin test of "a" to the base of "b" as described in +/* Miller-Rabin test of "a" to the base of "b" as described in * HAC pp. 139 Algorithm 4.24 * * Sets result to 0 if definitely composite or 1 if probably prime. - * Randomly the chance of error is no more than 1/4 and often + * Randomly the chance of error is no more than 1/4 and often * very much lower. */ int mp_prime_miller_rabin (mp_int * a, mp_int * b, int *result) @@ -5766,7 +5766,7 @@ int mp_prime_miller_rabin (mp_int * a, mp_int * b, int *result) /* ensure b > 1 */ if (mp_cmp_d(b, 1) != MP_GT) { return MP_VAL; - } + } /* get n1 = a - 1 */ if ((err = mp_init_copy (&n1, a)) != MP_OKAY) { @@ -5832,8 +5832,8 @@ LBL_N1:mp_clear (&n1); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_prime_miller_rabin.c */ @@ -6006,8 +6006,8 @@ LBL_ERR: #endif /* $Source$ */ -/* $Revision: v0.42.0 $ */ -/* $Date: 2010-07-15 13:49:00 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_prime_next_prime.c */ @@ -6062,8 +6062,8 @@ int mp_prime_rabin_miller_trials(int size) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_prime_rabin_miller_trials.c */ @@ -6088,7 +6088,7 @@ int mp_prime_rabin_miller_trials(int size) /* makes a truly random prime of a given size (bits), * * Flags are as follows: - * + * * LTM_PRIME_BBS - make prime congruent to 3 mod 4 * LTM_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies LTM_PRIME_BBS) * LTM_PRIME_2MSB_OFF - make the 2nd highest bit zero @@ -6133,7 +6133,7 @@ int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback maskOR_msb_offset = ((size & 7) == 1) ? 1 : 0; if (flags & LTM_PRIME_2MSB_ON) { maskOR_msb |= 0x80 >> ((9 - size) & 7); - } + } /* get the maskOR_lsb */ maskOR_lsb = 1; @@ -6147,7 +6147,7 @@ int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback err = MP_VAL; goto error; } - + /* work over the MSbyte */ tmp[0] &= maskAND; tmp[0] |= 1 << ((size - 1) & 7); @@ -6161,7 +6161,7 @@ int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback /* is it prime? */ if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) { goto error; } - if (res == MP_NO) { + if (res == MP_NO) { continue; } @@ -6169,7 +6169,7 @@ int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback /* see if (a-1)/2 is prime */ if ((err = mp_sub_d(a, 1, a)) != MP_OKAY) { goto error; } if ((err = mp_div_2(a, a)) != MP_OKAY) { goto error; } - + /* is it prime? */ if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) { goto error; } } @@ -6191,8 +6191,8 @@ error: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_prime_random_ex.c */ @@ -6253,7 +6253,7 @@ int mp_radix_size (mp_int * a, int radix, int *size) } /* force temp to positive */ - t.sign = MP_ZPOS; + t.sign = MP_ZPOS; /* fetch out all of the digits */ while (mp_iszero (&t) == MP_NO) { @@ -6273,8 +6273,8 @@ int mp_radix_size (mp_int * a, int radix, int *size) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_radix_size.c */ @@ -6301,8 +6301,8 @@ const char *mp_s_rmap = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrs #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_radix_smap.c */ @@ -6360,8 +6360,8 @@ mp_rand (mp_int * a, int digits) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_rand.c */ @@ -6397,8 +6397,8 @@ int mp_read_radix (mp_int * a, const char *str, int radix) return MP_VAL; } - /* if the leading digit is a - * minus set the sign to negative. + /* if the leading digit is a + * minus set the sign to negative. */ if (*str == '-') { ++str; @@ -6409,23 +6409,23 @@ int mp_read_radix (mp_int * a, const char *str, int radix) /* set the integer to the default of zero */ mp_zero (a); - + /* process each digit of the string */ while (*str) { /* if the radix < 36 the conversion is case insensitive * this allows numbers like 1AB and 1ab to represent the same value * [e.g. in hex] */ - ch = (char) ((radix < 36) ? toupper (*str) : *str); + ch = (char) ((radix < 36) ? toupper ((int)*str) : *str); for (y = 0; y < 64; y++) { if (ch == mp_s_rmap[y]) { break; } } - /* if the char was found in the map + /* if the char was found in the map * and is less than the given radix add it - * to the number, otherwise exit the loop. + * to the number, otherwise exit the loop. */ if (y < radix) { if ((res = mp_mul_d (a, (mp_digit) radix, a)) != MP_OKAY) { @@ -6439,7 +6439,7 @@ int mp_read_radix (mp_int * a, const char *str, int radix) } ++str; } - + /* set the sign only if a != 0 */ if (mp_iszero(a) != 1) { a->sign = neg; @@ -6449,8 +6449,8 @@ int mp_read_radix (mp_int * a, const char *str, int radix) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_read_radix.c */ @@ -6494,8 +6494,8 @@ int mp_read_signed_bin (mp_int * a, const unsigned char *b, int c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_read_signed_bin.c */ @@ -6553,8 +6553,8 @@ int mp_read_unsigned_bin (mp_int * a, const unsigned char *b, int c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_read_unsigned_bin.c */ @@ -6576,7 +6576,7 @@ int mp_read_unsigned_bin (mp_int * a, const unsigned char *b, int c) * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ -/* reduces x mod m, assumes 0 < x < m**2, mu is +/* reduces x mod m, assumes 0 < x < m**2, mu is * precomputed via mp_reduce_setup. * From HAC pp.604 Algorithm 14.42 */ @@ -6591,7 +6591,7 @@ int mp_reduce (mp_int * x, mp_int * m, mp_int * mu) } /* q1 = x / b**(k-1) */ - mp_rshd (&q, um - 1); + mp_rshd (&q, um - 1); /* according to HAC this optimization is ok */ if (((unsigned long) um) > (((mp_digit)1) << (DIGIT_BIT - 1))) { @@ -6607,8 +6607,8 @@ int mp_reduce (mp_int * x, mp_int * m, mp_int * mu) if ((res = fast_s_mp_mul_high_digs (&q, mu, &q, um)) != MP_OKAY) { goto CLEANUP; } -#else - { +#else + { res = MP_VAL; goto CLEANUP; } @@ -6616,7 +6616,7 @@ int mp_reduce (mp_int * x, mp_int * m, mp_int * mu) } /* q3 = q2 / b**(k+1) */ - mp_rshd (&q, um + 1); + mp_rshd (&q, um + 1); /* x = x mod b**(k+1), quick (no division) */ if ((res = mp_mod_2d (x, DIGIT_BIT * (um + 1), x)) != MP_OKAY) { @@ -6648,7 +6648,7 @@ int mp_reduce (mp_int * x, mp_int * m, mp_int * mu) goto CLEANUP; } } - + CLEANUP: mp_clear (&q); @@ -6657,8 +6657,8 @@ CLEANUP: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_reduce.c */ @@ -6685,35 +6685,35 @@ int mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d) { mp_int q; int p, res; - + if ((res = mp_init(&q)) != MP_OKAY) { return res; } - - p = mp_count_bits(n); + + p = mp_count_bits(n); top: /* q = a/2**p, a = a mod 2**p */ if ((res = mp_div_2d(a, p, &q, a)) != MP_OKAY) { goto ERR; } - + if (d != 1) { /* q = q * d */ - if ((res = mp_mul_d(&q, d, &q)) != MP_OKAY) { + if ((res = mp_mul_d(&q, d, &q)) != MP_OKAY) { goto ERR; } } - + /* a = a + q */ if ((res = s_mp_add(a, &q, a)) != MP_OKAY) { goto ERR; } - + if (mp_cmp_mag(a, n) != MP_LT) { s_mp_sub(a, n, a); goto top; } - + ERR: mp_clear(&q); return res; @@ -6722,8 +6722,8 @@ ERR: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_reduce_2k.c */ @@ -6745,7 +6745,7 @@ ERR: * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ -/* reduces a modulo n where n is of the form 2**p - d +/* reduces a modulo n where n is of the form 2**p - d This differs from reduce_2k since "d" can be larger than a single digit. */ @@ -6753,33 +6753,33 @@ int mp_reduce_2k_l(mp_int *a, mp_int *n, mp_int *d) { mp_int q; int p, res; - + if ((res = mp_init(&q)) != MP_OKAY) { return res; } - - p = mp_count_bits(n); + + p = mp_count_bits(n); top: /* q = a/2**p, a = a mod 2**p */ if ((res = mp_div_2d(a, p, &q, a)) != MP_OKAY) { goto ERR; } - + /* q = q * d */ - if ((res = mp_mul(&q, d, &q)) != MP_OKAY) { + if ((res = mp_mul(&q, d, &q)) != MP_OKAY) { goto ERR; } - + /* a = a + q */ if ((res = s_mp_add(a, &q, a)) != MP_OKAY) { goto ERR; } - + if (mp_cmp_mag(a, n) != MP_LT) { s_mp_sub(a, n, a); goto top; } - + ERR: mp_clear(&q); return res; @@ -6788,8 +6788,8 @@ ERR: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_reduce_2k_l.c */ @@ -6816,22 +6816,22 @@ int mp_reduce_2k_setup(mp_int *a, mp_digit *d) { int res, p; mp_int tmp; - + if ((res = mp_init(&tmp)) != MP_OKAY) { return res; } - + p = mp_count_bits(a); if ((res = mp_2expt(&tmp, p)) != MP_OKAY) { mp_clear(&tmp); return res; } - + if ((res = s_mp_sub(&tmp, a, &tmp)) != MP_OKAY) { mp_clear(&tmp); return res; } - + *d = tmp.dp[0]; mp_clear(&tmp); return MP_OKAY; @@ -6839,8 +6839,8 @@ int mp_reduce_2k_setup(mp_int *a, mp_digit *d) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_reduce_2k_setup.c */ @@ -6867,19 +6867,19 @@ int mp_reduce_2k_setup_l(mp_int *a, mp_int *d) { int res; mp_int tmp; - + if ((res = mp_init(&tmp)) != MP_OKAY) { return res; } - + if ((res = mp_2expt(&tmp, mp_count_bits(a))) != MP_OKAY) { goto ERR; } - + if ((res = s_mp_sub(&tmp, a, d)) != MP_OKAY) { goto ERR; } - + ERR: mp_clear(&tmp); return res; @@ -6887,8 +6887,8 @@ ERR: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_reduce_2k_setup_l.c */ @@ -6915,7 +6915,7 @@ int mp_reduce_is_2k(mp_int *a) { int ix, iy, iw; mp_digit iz; - + if (a->used == 0) { return MP_NO; } else if (a->used == 1) { @@ -6924,7 +6924,7 @@ int mp_reduce_is_2k(mp_int *a) iy = mp_count_bits(a); iz = 1; iw = 1; - + /* Test every bit from the second digit up, must be 1 */ for (ix = DIGIT_BIT; ix < iy; ix++) { if ((a->dp[iw] & iz) == 0) { @@ -6943,8 +6943,8 @@ int mp_reduce_is_2k(mp_int *a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_reduce_is_2k.c */ @@ -6970,7 +6970,7 @@ int mp_reduce_is_2k(mp_int *a) int mp_reduce_is_2k_l(mp_int *a) { int ix, iy; - + if (a->used == 0) { return MP_NO; } else if (a->used == 1) { @@ -6983,7 +6983,7 @@ int mp_reduce_is_2k_l(mp_int *a) } } return (iy >= (a->used/2)) ? MP_YES : MP_NO; - + } return MP_NO; } @@ -6991,8 +6991,8 @@ int mp_reduce_is_2k_l(mp_int *a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_reduce_is_2k_l.c */ @@ -7020,7 +7020,7 @@ int mp_reduce_is_2k_l(mp_int *a) int mp_reduce_setup (mp_int * a, mp_int * b) { int res; - + if ((res = mp_2expt (a, b->used * 2 * DIGIT_BIT)) != MP_OKAY) { return res; } @@ -7029,8 +7029,8 @@ int mp_reduce_setup (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_reduce_setup.c */ @@ -7079,8 +7079,8 @@ void mp_rshd (mp_int * a, int b) /* top [offset into digits] */ top = a->dp + b; - /* this is implemented as a sliding window where - * the window is b-digits long and digits from + /* this is implemented as a sliding window where + * the window is b-digits long and digits from * the top of the window are copied to the bottom * * e.g. @@ -7098,15 +7098,15 @@ void mp_rshd (mp_int * a, int b) *bottom++ = 0; } } - + /* remove excess digits */ a->used -= b; } #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_rshd.c */ @@ -7138,8 +7138,8 @@ void mp_set (mp_int * a, mp_digit b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_set.c */ @@ -7167,7 +7167,7 @@ int mp_set_int (mp_int * a, unsigned long b) int x, res; mp_zero (a); - + /* set four bits at a time */ for (x = 0; x < 8; x++) { /* shift the number up four bits */ @@ -7190,8 +7190,8 @@ int mp_set_int (mp_int * a, unsigned long b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_set_int.c */ @@ -7218,10 +7218,10 @@ int mp_shrink (mp_int * a) { mp_digit *tmp; int used = 1; - + if(a->used > 0) used = a->used; - + if (a->alloc != used) { if ((tmp = OPT_CAST(mp_digit) XREALLOC (a->dp, sizeof (mp_digit) * used)) == NULL) { return MP_MEM; @@ -7234,8 +7234,8 @@ int mp_shrink (mp_int * a) #endif /* $Source$ */ -/* $Revision: v0.42.0 $ */ -/* $Date: 2010-06-02 15:09:36 +0200 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_shrink.c */ @@ -7265,8 +7265,8 @@ int mp_signed_bin_size (mp_int * a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_signed_bin_size.c */ @@ -7299,18 +7299,18 @@ mp_sqr (mp_int * a, mp_int * b) if (a->used >= TOOM_SQR_CUTOFF) { res = mp_toom_sqr(a, b); /* Karatsuba? */ - } else + } else #endif #ifdef BN_MP_KARATSUBA_SQR_C if (a->used >= KARATSUBA_SQR_CUTOFF) { res = mp_karatsuba_sqr (a, b); - } else + } else #endif { #ifdef BN_FAST_S_MP_SQR_C /* can we use the fast comba multiplier? */ - if ((a->used * 2 + 1) < MP_WARRAY && - a->used < + if ((a->used * 2 + 1) < MP_WARRAY && + a->used < (1 << (sizeof(mp_word) * CHAR_BIT - 2*DIGIT_BIT - 1))) { res = fast_s_mp_sqr (a, b); } else @@ -7327,8 +7327,8 @@ if (a->used >= KARATSUBA_SQR_CUTOFF) { #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_sqr.c */ @@ -7372,8 +7372,8 @@ mp_sqrmod (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_sqrmod.c */ @@ -7396,7 +7396,7 @@ mp_sqrmod (mp_int * a, mp_int * b, mp_int * c) */ /* this function is less generic than mp_n_root, simpler and faster */ -int mp_sqrt(mp_int *arg, mp_int *ret) +int mp_sqrt(mp_int *arg, mp_int *ret) { int res; mp_int t1,t2; @@ -7423,7 +7423,7 @@ int mp_sqrt(mp_int *arg, mp_int *ret) /* First approx. (not very bad for large arg) */ mp_rshd (&t1,t1.used/2); - /* t1 > 0 */ + /* t1 > 0 */ if ((res = mp_div(arg,&t1,&t2,NULL)) != MP_OKAY) { goto E1; } @@ -7434,7 +7434,7 @@ int mp_sqrt(mp_int *arg, mp_int *ret) goto E1; } /* And now t1 > sqrt(arg) */ - do { + do { if ((res = mp_div(arg,&t1,&t2,NULL)) != MP_OKAY) { goto E1; } @@ -7457,8 +7457,8 @@ E2: mp_clear(&t1); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_sqrt.c */ @@ -7520,8 +7520,8 @@ mp_sub (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_sub.c */ @@ -7617,8 +7617,8 @@ mp_sub_d (mp_int * a, mp_digit b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_sub_d.c */ @@ -7663,8 +7663,8 @@ mp_submod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_submod.c */ @@ -7700,8 +7700,8 @@ int mp_to_signed_bin (mp_int * a, unsigned char *b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_to_signed_bin.c */ @@ -7735,8 +7735,8 @@ int mp_to_signed_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_to_signed_bin_n.c */ @@ -7787,8 +7787,8 @@ int mp_to_unsigned_bin (mp_int * a, unsigned char *b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_to_unsigned_bin.c */ @@ -7822,8 +7822,8 @@ int mp_to_unsigned_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_to_unsigned_bin_n.c */ @@ -7845,28 +7845,28 @@ int mp_to_unsigned_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ -/* multiplication using the Toom-Cook 3-way algorithm +/* multiplication using the Toom-Cook 3-way algorithm * - * Much more complicated than Karatsuba but has a lower - * asymptotic running time of O(N**1.464). This algorithm is - * only particularly useful on VERY large inputs + * Much more complicated than Karatsuba but has a lower + * asymptotic running time of O(N**1.464). This algorithm is + * only particularly useful on VERY large inputs * (we're talking 1000s of digits here...). */ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) { mp_int w0, w1, w2, w3, w4, tmp1, tmp2, a0, a1, a2, b0, b1, b2; int res, B; - + /* init temps */ - if ((res = mp_init_multi(&w0, &w1, &w2, &w3, &w4, - &a0, &a1, &a2, &b0, &b1, + if ((res = mp_init_multi(&w0, &w1, &w2, &w3, &w4, + &a0, &a1, &a2, &b0, &b1, &b2, &tmp1, &tmp2, NULL)) != MP_OKAY) { return res; } - + /* B */ B = MIN(a->used, b->used) / 3; - + /* a = a2 * B**2 + a1 * B + a0 */ if ((res = mp_mod_2d(a, DIGIT_BIT * B, &a0)) != MP_OKAY) { goto ERR; @@ -7882,7 +7882,7 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) goto ERR; } mp_rshd(&a2, B*2); - + /* b = b2 * B**2 + b1 * B + b0 */ if ((res = mp_mod_2d(b, DIGIT_BIT * B, &b0)) != MP_OKAY) { goto ERR; @@ -7898,17 +7898,17 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) goto ERR; } mp_rshd(&b2, B*2); - + /* w0 = a0*b0 */ if ((res = mp_mul(&a0, &b0, &w0)) != MP_OKAY) { goto ERR; } - + /* w4 = a2 * b2 */ if ((res = mp_mul(&a2, &b2, &w4)) != MP_OKAY) { goto ERR; } - + /* w1 = (a2 + 2(a1 + 2a0))(b2 + 2(b1 + 2b0)) */ if ((res = mp_mul_2(&a0, &tmp1)) != MP_OKAY) { goto ERR; @@ -7922,7 +7922,7 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) if ((res = mp_add(&tmp1, &a2, &tmp1)) != MP_OKAY) { goto ERR; } - + if ((res = mp_mul_2(&b0, &tmp2)) != MP_OKAY) { goto ERR; } @@ -7935,11 +7935,11 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) if ((res = mp_add(&tmp2, &b2, &tmp2)) != MP_OKAY) { goto ERR; } - + if ((res = mp_mul(&tmp1, &tmp2, &w1)) != MP_OKAY) { goto ERR; } - + /* w3 = (a0 + 2(a1 + 2a2))(b0 + 2(b1 + 2b2)) */ if ((res = mp_mul_2(&a2, &tmp1)) != MP_OKAY) { goto ERR; @@ -7953,7 +7953,7 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { goto ERR; } - + if ((res = mp_mul_2(&b2, &tmp2)) != MP_OKAY) { goto ERR; } @@ -7966,11 +7966,11 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) if ((res = mp_add(&tmp2, &b0, &tmp2)) != MP_OKAY) { goto ERR; } - + if ((res = mp_mul(&tmp1, &tmp2, &w3)) != MP_OKAY) { goto ERR; } - + /* w2 = (a2 + a1 + a0)(b2 + b1 + b0) */ if ((res = mp_add(&a2, &a1, &tmp1)) != MP_OKAY) { @@ -7988,19 +7988,19 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) if ((res = mp_mul(&tmp1, &tmp2, &w2)) != MP_OKAY) { goto ERR; } - - /* now solve the matrix - + + /* now solve the matrix + 0 0 0 0 1 1 2 4 8 16 1 1 1 1 1 16 8 4 2 1 1 0 0 0 0 - - using 12 subtractions, 4 shifts, - 2 small divisions and 1 small multiplication + + using 12 subtractions, 4 shifts, + 2 small divisions and 1 small multiplication */ - + /* r1 - r4 */ if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { goto ERR; @@ -8072,7 +8072,7 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { goto ERR; } - + /* at this point shift W[n] by B*n */ if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { goto ERR; @@ -8085,8 +8085,8 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) } if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { goto ERR; - } - + } + if ((res = mp_add(&w0, &w1, c)) != MP_OKAY) { goto ERR; } @@ -8098,20 +8098,20 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) } if ((res = mp_add(&tmp1, c, c)) != MP_OKAY) { goto ERR; - } - + } + ERR: - mp_clear_multi(&w0, &w1, &w2, &w3, &w4, - &a0, &a1, &a2, &b0, &b1, + mp_clear_multi(&w0, &w1, &w2, &w3, &w4, + &a0, &a1, &a2, &b0, &b1, &b2, &tmp1, &tmp2, NULL); return res; -} - +} + #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_toom_mul.c */ @@ -8340,8 +8340,8 @@ ERR: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_toom_sqr.c */ @@ -8419,8 +8419,8 @@ int mp_toradix (mp_int * a, char *str, int radix) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_toradix.c */ @@ -8442,9 +8442,9 @@ int mp_toradix (mp_int * a, char *str, int radix) * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ -/* stores a bignum as a ASCII string in a given radix (2..64) +/* stores a bignum as a ASCII string in a given radix (2..64) * - * Stores upto maxlen-1 chars and always a NULL byte + * Stores upto maxlen-1 chars and always a NULL byte */ int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen) { @@ -8477,7 +8477,7 @@ int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen) /* store the flag and mark the number as positive */ *str++ = '-'; t.sign = MP_ZPOS; - + /* subtract a char */ --maxlen; } @@ -8511,8 +8511,8 @@ int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_toradix_n.c */ @@ -8543,8 +8543,8 @@ int mp_unsigned_bin_size (mp_int * a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_unsigned_bin_size.c */ @@ -8598,8 +8598,8 @@ mp_xor (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_xor.c */ @@ -8638,8 +8638,8 @@ void mp_zero (mp_int * a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_zero.c */ @@ -8703,8 +8703,8 @@ const mp_digit ltm_prime_tab[] = { #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_prime_tab.c */ @@ -8746,8 +8746,8 @@ bn_reverse (unsigned char *s, int len) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_reverse.c */ @@ -8828,8 +8828,8 @@ s_mp_add (mp_int * a, mp_int * b, mp_int * c) *tmpc++ &= MP_MASK; } - /* now copy higher words if any, that is in A+B - * if A or B has more digits add those in + /* now copy higher words if any, that is in A+B + * if A or B has more digits add those in */ if (min != max) { for (; i < max; i++) { @@ -8859,8 +8859,8 @@ s_mp_add (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_s_mp_add.c */ @@ -8921,7 +8921,7 @@ int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) /* init M array */ /* init first cell */ if ((err = mp_init(&M[1])) != MP_OKAY) { - return err; + return err; } /* now init the second half of the array */ @@ -8939,7 +8939,7 @@ int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) if ((err = mp_init (&mu)) != MP_OKAY) { goto LBL_M; } - + if (redmode == 0) { if ((err = mp_reduce_setup (&mu, P)) != MP_OKAY) { goto LBL_MU; @@ -8950,22 +8950,22 @@ int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) goto LBL_MU; } redux = mp_reduce_2k_l; - } + } /* create M table * - * The M table contains powers of the base, + * The M table contains powers of the base, * e.g. M[x] = G**x mod P * - * The first half of the table is not + * The first half of the table is not * computed though accept for M[0] and M[1] */ if ((err = mp_mod (G, P, &M[1])) != MP_OKAY) { goto LBL_MU; } - /* compute the value at M[1<<(winsize-1)] by squaring - * M[1] (winsize-1) times + /* compute the value at M[1<<(winsize-1)] by squaring + * M[1] (winsize-1) times */ if ((err = mp_copy (&M[1], &M[1 << (winsize - 1)])) != MP_OKAY) { goto LBL_MU; @@ -8973,7 +8973,7 @@ int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) for (x = 0; x < (winsize - 1); x++) { /* square it */ - if ((err = mp_sqr (&M[1 << (winsize - 1)], + if ((err = mp_sqr (&M[1 << (winsize - 1)], &M[1 << (winsize - 1)])) != MP_OKAY) { goto LBL_MU; } @@ -9115,8 +9115,8 @@ LBL_M: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_s_mp_exptmod.c */ @@ -9139,7 +9139,7 @@ LBL_M: */ /* multiplies |a| * |b| and only computes upto digs digits of result - * HAC pp. 595, Algorithm 14.12 Modified so you can control how + * HAC pp. 595, Algorithm 14.12 Modified so you can control how * many digits of output are created. */ int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) @@ -9152,7 +9152,7 @@ int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) /* can we use the fast multiplier? */ if (((digs) < MP_WARRAY) && - MIN (a->used, b->used) < + MIN (a->used, b->used) < (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { return fast_s_mp_mul_digs (a, b, c, digs); } @@ -9174,10 +9174,10 @@ int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) /* setup some aliases */ /* copy of the digit from a used within the nested loop */ tmpx = a->dp[ix]; - + /* an alias for the destination shifted ix places */ tmpt = t.dp + ix; - + /* an alias for the digits of b */ tmpy = b->dp; @@ -9209,8 +9209,8 @@ int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_s_mp_mul_digs.c */ @@ -9294,8 +9294,8 @@ s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_s_mp_mul_high_digs.c */ @@ -9350,7 +9350,7 @@ int s_mp_sqr (mp_int * a, mp_int * b) /* alias for where to store the results */ tmpt = t.dp + (2*ix + 1); - + for (iy = ix + 1; iy < pa; iy++) { /* first calculate the product */ r = ((mp_word)tmpx) * ((mp_word)a->dp[iy]); @@ -9382,8 +9382,8 @@ int s_mp_sqr (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_s_mp_sqr.c */ @@ -9475,8 +9475,8 @@ s_mp_sub (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_s_mp_sub.c */ @@ -9504,19 +9504,19 @@ s_mp_sub (mp_int * a, mp_int * b, mp_int * c) ------------------------------------------------------------- Intel P4 Northwood /GCC v3.4.1 / 88/ 128/LTM 0.32 ;-) AMD Athlon64 /GCC v3.4.4 / 80/ 120/LTM 0.35 - + */ int KARATSUBA_MUL_CUTOFF = 80, /* Min. number of digits before Karatsuba multiplication is used. */ KARATSUBA_SQR_CUTOFF = 120, /* Min. number of digits before Karatsuba squaring is used. */ - + TOOM_MUL_CUTOFF = 350, /* no optimal values of these are known yet so set em high */ - TOOM_SQR_CUTOFF = 400; + TOOM_SQR_CUTOFF = 400; #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bncore.c */ diff --git a/libtommath/testme.sh b/libtommath/testme.sh new file mode 100755 index 0000000..6324525 --- /dev/null +++ b/libtommath/testme.sh @@ -0,0 +1,174 @@ +#!/bin/bash +# +# return values of this script are: +# 0 success +# 128 a test failed +# >0 the number of timed-out tests + +set -e + +if [ -f /proc/cpuinfo ] +then + MAKE_JOBS=$(( ($(cat /proc/cpuinfo | grep -E '^processor[[:space:]]*:' | tail -n -1 | cut -d':' -f2) + 1) * 2 + 1 )) +else + MAKE_JOBS=8 +fi + +ret=0 +TEST_CFLAGS="" + +_help() +{ + echo "Usage options for $(basename $0) [--with-cc=arg [other options]]" + echo + echo "Executing this script without any parameter will only run the default configuration" + echo "that has automatically been determined for the architecture you're running." + echo + echo " --with-cc=* The compiler(s) to use for the tests" + echo " This is an option that will be iterated." + echo + echo "To be able to specify options a compiler has to be given." + echo "All options will be tested with all MP_xBIT configurations." + echo + echo " --with-{m64,m32,mx32} The architecture(s) to build and test for," + echo " e.g. --with-mx32." + echo " This is an option that will be iterated, multiple selections are possible." + echo " The mx32 architecture is not supported by clang and will not be executed." + echo + echo " --cflags=* Give an option to the compiler," + echo " e.g. --cflags=-g" + echo " This is an option that will always be passed as parameter to CC." + echo + echo " --make-option=* Give an option to make," + echo " e.g. --make-option=\"-f makefile.shared\"" + echo " This is an option that will always be passed as parameter to make." + echo + echo "Godmode:" + echo + echo " --all Choose all architectures and gcc and clang as compilers" + echo + echo " --help This message" + exit 0 +} + +_die() +{ + echo "error $2 while $1" + if [ "$2" != "124" ] + then + exit 128 + else + echo "assuming timeout while running test - continue" + ret=$(( $ret + 1 )) + fi +} + +_runtest() +{ + echo -ne " Compile $1 $2" + make clean > /dev/null + CC="$1" CFLAGS="$2 $TEST_CFLAGS" make -j$MAKE_JOBS test_standalone $MAKE_OPTIONS > /dev/null 2>test_errors.txt + echo -e "\rRun test $1 $2" + timeout --foreground 90 ./test > test_$(echo ${1}${2} | tr ' ' '_').txt || _die "running tests" $? +} + +_banner() +{ + echo "uname="$(uname -a) + [[ "$#" != "0" ]] && (echo $1=$($1 -dumpversion)) || true +} + +_exit() +{ + if [ "$ret" == "0" ] + then + echo "Tests successful" + else + echo "$ret tests timed out" + fi + + exit $ret +} + +ARCHFLAGS="" +COMPILERS="" +CFLAGS="" + +while [ $# -gt 0 ]; +do + case $1 in + "--with-m64" | "--with-m32" | "--with-mx32") + ARCHFLAGS="$ARCHFLAGS ${1:6}" + ;; + --with-cc=*) + COMPILERS="$COMPILERS ${1#*=}" + ;; + --cflags=*) + CFLAGS="$CFLAGS ${1#*=}" + ;; + --make-option=*) + MAKE_OPTIONS="$MAKE_OPTIONS ${1#*=}" + ;; + --all) + COMPILERS="gcc clang" + ARCHFLAGS="-m64 -m32 -mx32" + ;; + --help) + _help + ;; + esac + shift +done + +# default to gcc if nothing is given +if [[ "$COMPILERS" == "" ]] +then + _banner gcc + _runtest "gcc" "" + _exit +fi + +archflags=( $ARCHFLAGS ) +compilers=( $COMPILERS ) + +# choosing a compiler without specifying an architecture will use the default architecture +if [ "${#archflags[@]}" == "0" ] +then + archflags[0]=" " +fi + +_banner + +for i in "${compilers[@]}" +do + if [ -z "$(which $i)" ] + then + echo "Skipped compiler $i, file not found" + continue + fi + compiler_version=$(echo "$i="$($i -dumpversion)) + if [ "$compiler_version" == "clang=4.2.1" ] + then + # one of my versions of clang complains about some stuff in stdio.h and stdarg.h ... + TEST_CFLAGS="-Wno-typedef-redefinition" + else + TEST_CFLAGS="" + fi + echo $compiler_version + + for a in "${archflags[@]}" + do + if [[ $(expr "$i" : "clang") && "$a" == "-mx32" ]] + then + echo "clang -mx32 tests skipped" + continue + fi + + _runtest "$i $a" "" + _runtest "$i $a" "-DMP_8BIT" + _runtest "$i $a" "-DMP_16BIT" + _runtest "$i $a" "-DMP_32BIT" + done +done + +_exit diff --git a/libtommath/tommath.h b/libtommath/tommath.h index cf9c499..4c66e15 100644 --- a/libtommath/tommath.h +++ b/libtommath/tommath.h @@ -10,44 +10,25 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://math.libtomcrypt.com */ #ifndef BN_H_ #define BN_H_ #include -#include #include -#include +#include #include #include -#ifndef MIN - #define MIN(x,y) ((x)<(y)?(x):(y)) -#endif - -#ifndef MAX - #define MAX(x,y) ((x)>(y)?(x):(y)) -#endif - #ifdef __cplusplus extern "C" { - -/* C++ compilers don't like assigning void * to mp_digit * */ -#define OPT_CAST(x) (x *) - -#else - -/* C on the other hand doesn't care */ -#define OPT_CAST(x) - #endif - /* detect 64-bit mode if possible */ -#if defined(__x86_64__) - #if !(defined(MP_64BIT) && defined(MP_16BIT) && defined(MP_8BIT)) +#if defined(__x86_64__) + #if !(defined(MP_32BIT) || defined(MP_16BIT) || defined(MP_8BIT)) #define MP_64BIT #endif #endif @@ -61,70 +42,78 @@ extern "C" { * [any size beyond that is ok provided it doesn't overflow the data type] */ #ifdef MP_8BIT - typedef unsigned char mp_digit; - typedef unsigned short mp_word; + typedef uint8_t mp_digit; + typedef uint16_t mp_word; +#define MP_SIZEOF_MP_DIGIT 1 +#ifdef DIGIT_BIT +#error You must not define DIGIT_BIT when using MP_8BIT +#endif #elif defined(MP_16BIT) - typedef unsigned short mp_digit; - typedef unsigned long mp_word; + typedef uint16_t mp_digit; + typedef uint32_t mp_word; +#define MP_SIZEOF_MP_DIGIT 2 +#ifdef DIGIT_BIT +#error You must not define DIGIT_BIT when using MP_16BIT +#endif #elif defined(MP_64BIT) /* for GCC only on supported platforms */ #ifndef CRYPT - typedef unsigned long long ulong64; - typedef signed long long long64; + typedef unsigned long long ulong64; + typedef signed long long long64; #endif - typedef unsigned long mp_digit; - typedef unsigned long mp_word __attribute__ ((mode(TI))); + typedef uint64_t mp_digit; +#if defined(_WIN32) + typedef unsigned __int128 mp_word; +#elif defined(__GNUC__) + typedef unsigned long mp_word __attribute__ ((mode(TI))); +#else + /* it seems you have a problem + * but we assume you can somewhere define your own uint128_t */ + typedef uint128_t mp_word; +#endif - #define DIGIT_BIT 60 + #define DIGIT_BIT 60 #else /* this is the default case, 28-bit digits */ - + /* this is to make porting into LibTomCrypt easier :-) */ #ifndef CRYPT - #if defined(_MSC_VER) || defined(__BORLANDC__) - typedef unsigned __int64 ulong64; - typedef signed __int64 long64; - #else - typedef unsigned long long ulong64; - typedef signed long long long64; - #endif + typedef unsigned long long ulong64; + typedef signed long long long64; #endif - typedef unsigned long mp_digit; - typedef ulong64 mp_word; + typedef uint32_t mp_digit; + typedef uint64_t mp_word; -#ifdef MP_31BIT +#ifdef MP_31BIT /* this is an extension that uses 31-bit digits */ - #define DIGIT_BIT 31 + #define DIGIT_BIT 31 #else /* default case is 28-bit digits, defines MP_28BIT as a handy macro to test */ - #define DIGIT_BIT 28 + #define DIGIT_BIT 28 #define MP_28BIT -#endif #endif - -/* define heap macros */ -#ifndef CRYPT - /* default to libc stuff */ - #ifndef XMALLOC - #define XMALLOC malloc - #define XFREE free - #define XREALLOC realloc - #define XCALLOC calloc - #else - /* prototypes for our heap functions */ - extern void *XMALLOC(size_t n); - extern void *XREALLOC(void *p, size_t n); - extern void *XCALLOC(size_t n, size_t s); - extern void XFREE(void *p); - #endif #endif - /* otherwise the bits per digit is calculated automatically from the size of a mp_digit */ #ifndef DIGIT_BIT - #define DIGIT_BIT ((int)((CHAR_BIT * sizeof(mp_digit) - 1))) /* bits per digit */ + #define DIGIT_BIT (((CHAR_BIT * MP_SIZEOF_MP_DIGIT) - 1)) /* bits per digit */ + typedef uint_least32_t mp_min_u32; +#else + typedef mp_digit mp_min_u32; +#endif + +/* platforms that can use a better rand function */ +#if defined(__FreeBSD__) || defined(__OpenBSD__) || defined(__NetBSD__) || defined(__DragonFly__) + #define MP_USE_ALT_RAND 1 +#endif + +/* use arc4random on platforms that support it */ +#ifdef MP_USE_ALT_RAND + #define MP_GEN_RANDOM() arc4random() +#else + #define MP_GEN_RANDOM() rand() #endif #define MP_DIGIT_BIT DIGIT_BIT @@ -169,11 +158,11 @@ extern int KARATSUBA_MUL_CUTOFF, #define MP_PREC 32 /* default digits of precision */ #else #define MP_PREC 8 /* default digits of precision */ - #endif + #endif #endif /* size of comba arrays, should be at least 2 * 2**(BITS_PER_WORD - BITS_PER_DIGIT*2) */ -#define MP_WARRAY (1 << (sizeof(mp_word) * CHAR_BIT - 2 * DIGIT_BIT + 1)) +#define MP_WARRAY (1 << (((sizeof(mp_word) * CHAR_BIT) - (2 * DIGIT_BIT)) + 1)) /* the infamous mp_int structure */ typedef struct { @@ -190,7 +179,7 @@ typedef int ltm_prime_callback(unsigned char *dst, int len, void *dat); #define SIGN(m) ((m)->sign) /* error code to char* string */ -char *mp_error_to_string(int code); +const char *mp_error_to_string(int code); /* ---> init and deinit bignum functions <--- */ /* init a bignum */ @@ -219,8 +208,9 @@ int mp_init_size(mp_int *a, int size); /* ---> Basic Manipulations <--- */ #define mp_iszero(a) (((a)->used == 0) ? MP_YES : MP_NO) -#define mp_iseven(a) (((a)->used > 0 && (((a)->dp[0] & 1) == 0)) ? MP_YES : MP_NO) -#define mp_isodd(a) (((a)->used > 0 && (((a)->dp[0] & 1) == 1)) ? MP_YES : MP_NO) +#define mp_iseven(a) ((((a)->used > 0) && (((a)->dp[0] & 1u) == 0u)) ? MP_YES : MP_NO) +#define mp_isodd(a) ((((a)->used > 0) && (((a)->dp[0] & 1u) == 1u)) ? MP_YES : MP_NO) +#define mp_isneg(a) (((a)->sign != MP_ZPOS) ? MP_YES : MP_NO) /* set to zero */ void mp_zero(mp_int *a); @@ -231,9 +221,21 @@ void mp_set(mp_int *a, mp_digit b); /* set a 32-bit const */ int mp_set_int(mp_int *a, unsigned long b); +/* set a platform dependent unsigned long value */ +int mp_set_long(mp_int *a, unsigned long b); + +/* set a platform dependent unsigned long long value */ +int mp_set_long_long(mp_int *a, unsigned long long b); + /* get a 32-bit value */ unsigned long mp_get_int(mp_int * a); +/* get a platform dependent unsigned long value */ +unsigned long mp_get_long(mp_int * a); + +/* get a platform dependent unsigned long long value */ +unsigned long long mp_get_long_long(mp_int * a); + /* initialize and set a digit */ int mp_init_set (mp_int * a, mp_digit b); @@ -249,6 +251,12 @@ int mp_init_copy(mp_int *a, mp_int *b); /* trim unused digits */ void mp_clamp(mp_int *a); +/* import binary data */ +int mp_import(mp_int* rop, size_t count, int order, size_t size, int endian, size_t nails, const void* op); + +/* export binary data */ +int mp_export(void* rop, size_t* countp, int order, size_t size, int endian, size_t nails, mp_int* op); + /* ---> digit manipulation <--- */ /* right shift by "b" digits */ @@ -257,19 +265,19 @@ void mp_rshd(mp_int *a, int b); /* left shift by "b" digits */ int mp_lshd(mp_int *a, int b); -/* c = a / 2**b */ +/* c = a / 2**b, implemented as c = a >> b */ int mp_div_2d(mp_int *a, int b, mp_int *c, mp_int *d); /* b = a/2 */ int mp_div_2(mp_int *a, mp_int *b); -/* c = a * 2**b */ +/* c = a * 2**b, implemented as c = a << b */ int mp_mul_2d(mp_int *a, int b, mp_int *c); /* b = a*2 */ int mp_mul_2(mp_int *a, mp_int *b); -/* c = a mod 2**d */ +/* c = a mod 2**b */ int mp_mod_2d(mp_int *a, int b, mp_int *c); /* computes a = 2**b */ @@ -347,6 +355,7 @@ int mp_div_3(mp_int *a, mp_int *c, mp_digit *d); /* c = a**b */ int mp_expt_d(mp_int *a, mp_digit b, mp_int *c); +int mp_expt_d_ex (mp_int * a, mp_digit b, mp_int * c, int fast); /* c = a mod b, 0 <= c < b */ int mp_mod_d(mp_int *a, mp_digit b, mp_digit *c); @@ -382,10 +391,14 @@ int mp_lcm(mp_int *a, mp_int *b, mp_int *c); * returns error if a < 0 and b is even */ int mp_n_root(mp_int *a, mp_digit b, mp_int *c); +int mp_n_root_ex (mp_int * a, mp_digit b, mp_int * c, int fast); /* special sqrt algo */ int mp_sqrt(mp_int *arg, mp_int *ret); +/* special sqrt (mod prime) */ +int mp_sqrtmod_prime(mp_int *arg, mp_int *prime, mp_int *ret); + /* is number a square? */ int mp_is_square(mp_int *arg, int *ret); @@ -453,7 +466,7 @@ int mp_exptmod(mp_int *a, mp_int *b, mp_int *c, mp_int *d); #endif /* table of first PRIME_SIZE primes */ -extern const mp_digit ltm_prime_tab[]; +extern const mp_digit ltm_prime_tab[PRIME_SIZE]; /* result=1 if a is divisible by one of the first PRIME_SIZE primes */ int mp_prime_is_divisible(mp_int *a, int *result); @@ -469,7 +482,7 @@ int mp_prime_fermat(mp_int *a, mp_int *b, int *result); int mp_prime_miller_rabin(mp_int *a, mp_int *b, int *result); /* This gives [for a given bit size] the number of trials required - * such that Miller-Rabin gives a prob of failure lower than 2^-96 + * such that Miller-Rabin gives a prob of failure lower than 2^-96 */ int mp_prime_rabin_miller_trials(int size); @@ -490,7 +503,7 @@ int mp_prime_is_prime(mp_int *a, int t, int *result); int mp_prime_next_prime(mp_int *a, int t, int bbs_style); /* makes a truly random prime of a given size (bytes), - * call with bbs = 1 if you want it to be congruent to 3 mod 4 + * call with bbs = 1 if you want it to be congruent to 3 mod 4 * * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can * have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself @@ -503,10 +516,9 @@ int mp_prime_next_prime(mp_int *a, int t, int bbs_style); /* makes a truly random prime of a given size (bits), * * Flags are as follows: - * + * * LTM_PRIME_BBS - make prime congruent to 3 mod 4 * LTM_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies LTM_PRIME_BBS) - * LTM_PRIME_2MSB_OFF - make the 2nd highest bit zero * LTM_PRIME_2MSB_ON - make the 2nd highest bit one * * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can @@ -534,8 +546,10 @@ int mp_toradix(mp_int *a, char *str, int radix); int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen); int mp_radix_size(mp_int *a, int radix, int *size); +#ifndef LTM_NO_FILE int mp_fread(mp_int *a, int radix, FILE *stream); int mp_fwrite(mp_int *a, int radix, FILE *stream); +#endif #define mp_read_raw(mp, str, len) mp_read_signed_bin((mp), (str), (len)) #define mp_raw_size(mp) mp_signed_bin_size(mp) @@ -549,29 +563,6 @@ int mp_fwrite(mp_int *a, int radix, FILE *stream); #define mp_todecimal(M, S) mp_toradix((M), (S), 10) #define mp_tohex(M, S) mp_toradix((M), (S), 16) -/* lowlevel functions, do not call! */ -int s_mp_add(mp_int *a, mp_int *b, mp_int *c); -int s_mp_sub(mp_int *a, mp_int *b, mp_int *c); -#define s_mp_mul(a, b, c) s_mp_mul_digs(a, b, c, (a)->used + (b)->used + 1) -int fast_s_mp_mul_digs(mp_int *a, mp_int *b, mp_int *c, int digs); -int s_mp_mul_digs(mp_int *a, mp_int *b, mp_int *c, int digs); -int fast_s_mp_mul_high_digs(mp_int *a, mp_int *b, mp_int *c, int digs); -int s_mp_mul_high_digs(mp_int *a, mp_int *b, mp_int *c, int digs); -int fast_s_mp_sqr(mp_int *a, mp_int *b); -int s_mp_sqr(mp_int *a, mp_int *b); -int mp_karatsuba_mul(mp_int *a, mp_int *b, mp_int *c); -int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c); -int mp_karatsuba_sqr(mp_int *a, mp_int *b); -int mp_toom_sqr(mp_int *a, mp_int *b); -int fast_mp_invmod(mp_int *a, mp_int *b, mp_int *c); -int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c); -int fast_mp_montgomery_reduce(mp_int *a, mp_int *m, mp_digit mp); -int mp_exptmod_fast(mp_int *G, mp_int *X, mp_int *P, mp_int *Y, int mode); -int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int mode); -void bn_reverse(unsigned char *s, int len); - -extern const char *mp_s_rmap; - #ifdef __cplusplus } #endif @@ -580,5 +571,5 @@ extern const char *mp_s_rmap; /* $Source$ */ -/* $Revision: 0.39 $ */ -/* $Date: 2006-04-06 19:49:59 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/tommath.out b/libtommath/tommath.out index 9f62617..de4aada 100644 --- a/libtommath/tommath.out +++ b/libtommath/tommath.out @@ -1,139 +1,139 @@ -\BOOKMARK [0][-]{chapter.1}{Introduction}{} -\BOOKMARK [1][-]{section.1.1}{Multiple Precision Arithmetic}{chapter.1} -\BOOKMARK [2][-]{subsection.1.1.1}{What is Multiple Precision Arithmetic?}{section.1.1} -\BOOKMARK [2][-]{subsection.1.1.2}{The Need for Multiple Precision Arithmetic}{section.1.1} -\BOOKMARK [2][-]{subsection.1.1.3}{Benefits of Multiple Precision Arithmetic}{section.1.1} -\BOOKMARK [1][-]{section.1.2}{Purpose of This Text}{chapter.1} -\BOOKMARK [1][-]{section.1.3}{Discussion and Notation}{chapter.1} -\BOOKMARK [2][-]{subsection.1.3.1}{Notation}{section.1.3} -\BOOKMARK [2][-]{subsection.1.3.2}{Precision Notation}{section.1.3} -\BOOKMARK [2][-]{subsection.1.3.3}{Algorithm Inputs and Outputs}{section.1.3} -\BOOKMARK [2][-]{subsection.1.3.4}{Mathematical Expressions}{section.1.3} -\BOOKMARK [2][-]{subsection.1.3.5}{Work Effort}{section.1.3} -\BOOKMARK [1][-]{section.1.4}{Exercises}{chapter.1} -\BOOKMARK [1][-]{section.1.5}{Introduction to LibTomMath}{chapter.1} -\BOOKMARK [2][-]{subsection.1.5.1}{What is LibTomMath?}{section.1.5} -\BOOKMARK [2][-]{subsection.1.5.2}{Goals of LibTomMath}{section.1.5} -\BOOKMARK [1][-]{section.1.6}{Choice of LibTomMath}{chapter.1} -\BOOKMARK [2][-]{subsection.1.6.1}{Code Base}{section.1.6} -\BOOKMARK [2][-]{subsection.1.6.2}{API Simplicity}{section.1.6} -\BOOKMARK [2][-]{subsection.1.6.3}{Optimizations}{section.1.6} -\BOOKMARK [2][-]{subsection.1.6.4}{Portability and Stability}{section.1.6} -\BOOKMARK [2][-]{subsection.1.6.5}{Choice}{section.1.6} -\BOOKMARK [0][-]{chapter.2}{Getting Started}{} -\BOOKMARK [1][-]{section.2.1}{Library Basics}{chapter.2} -\BOOKMARK [1][-]{section.2.2}{What is a Multiple Precision Integer?}{chapter.2} -\BOOKMARK [2][-]{subsection.2.2.1}{The mp\137int Structure}{section.2.2} -\BOOKMARK [1][-]{section.2.3}{Argument Passing}{chapter.2} -\BOOKMARK [1][-]{section.2.4}{Return Values}{chapter.2} -\BOOKMARK [1][-]{section.2.5}{Initialization and Clearing}{chapter.2} -\BOOKMARK [2][-]{subsection.2.5.1}{Initializing an mp\137int}{section.2.5} -\BOOKMARK [2][-]{subsection.2.5.2}{Clearing an mp\137int}{section.2.5} -\BOOKMARK [1][-]{section.2.6}{Maintenance Algorithms}{chapter.2} -\BOOKMARK [2][-]{subsection.2.6.1}{Augmenting an mp\137int's Precision}{section.2.6} -\BOOKMARK [2][-]{subsection.2.6.2}{Initializing Variable Precision mp\137ints}{section.2.6} -\BOOKMARK [2][-]{subsection.2.6.3}{Multiple Integer Initializations and Clearings}{section.2.6} -\BOOKMARK [2][-]{subsection.2.6.4}{Clamping Excess Digits}{section.2.6} -\BOOKMARK [0][-]{chapter.3}{Basic Operations}{} -\BOOKMARK [1][-]{section.3.1}{Introduction}{chapter.3} -\BOOKMARK [1][-]{section.3.2}{Assigning Values to mp\137int Structures}{chapter.3} -\BOOKMARK [2][-]{subsection.3.2.1}{Copying an mp\137int}{section.3.2} -\BOOKMARK [2][-]{subsection.3.2.2}{Creating a Clone}{section.3.2} -\BOOKMARK [1][-]{section.3.3}{Zeroing an Integer}{chapter.3} -\BOOKMARK [1][-]{section.3.4}{Sign Manipulation}{chapter.3} -\BOOKMARK [2][-]{subsection.3.4.1}{Absolute Value}{section.3.4} -\BOOKMARK [2][-]{subsection.3.4.2}{Integer Negation}{section.3.4} -\BOOKMARK [1][-]{section.3.5}{Small Constants}{chapter.3} -\BOOKMARK [2][-]{subsection.3.5.1}{Setting Small Constants}{section.3.5} -\BOOKMARK [2][-]{subsection.3.5.2}{Setting Large Constants}{section.3.5} -\BOOKMARK [1][-]{section.3.6}{Comparisons}{chapter.3} -\BOOKMARK [2][-]{subsection.3.6.1}{Unsigned Comparisions}{section.3.6} -\BOOKMARK [2][-]{subsection.3.6.2}{Signed Comparisons}{section.3.6} -\BOOKMARK [0][-]{chapter.4}{Basic Arithmetic}{} -\BOOKMARK [1][-]{section.4.1}{Introduction}{chapter.4} -\BOOKMARK [1][-]{section.4.2}{Addition and Subtraction}{chapter.4} -\BOOKMARK [2][-]{subsection.4.2.1}{Low Level Addition}{section.4.2} -\BOOKMARK [2][-]{subsection.4.2.2}{Low Level Subtraction}{section.4.2} -\BOOKMARK [2][-]{subsection.4.2.3}{High Level Addition}{section.4.2} -\BOOKMARK [2][-]{subsection.4.2.4}{High Level Subtraction}{section.4.2} -\BOOKMARK [1][-]{section.4.3}{Bit and Digit Shifting}{chapter.4} -\BOOKMARK [2][-]{subsection.4.3.1}{Multiplication by Two}{section.4.3} -\BOOKMARK [2][-]{subsection.4.3.2}{Division by Two}{section.4.3} -\BOOKMARK [1][-]{section.4.4}{Polynomial Basis Operations}{chapter.4} -\BOOKMARK [2][-]{subsection.4.4.1}{Multiplication by x}{section.4.4} -\BOOKMARK [2][-]{subsection.4.4.2}{Division by x}{section.4.4} -\BOOKMARK [1][-]{section.4.5}{Powers of Two}{chapter.4} -\BOOKMARK [2][-]{subsection.4.5.1}{Multiplication by Power of Two}{section.4.5} -\BOOKMARK [2][-]{subsection.4.5.2}{Division by Power of Two}{section.4.5} -\BOOKMARK [2][-]{subsection.4.5.3}{Remainder of Division by Power of Two}{section.4.5} -\BOOKMARK [0][-]{chapter.5}{Multiplication and Squaring}{} -\BOOKMARK [1][-]{section.5.1}{The Multipliers}{chapter.5} -\BOOKMARK [1][-]{section.5.2}{Multiplication}{chapter.5} -\BOOKMARK [2][-]{subsection.5.2.1}{The Baseline Multiplication}{section.5.2} -\BOOKMARK [2][-]{subsection.5.2.2}{Faster Multiplication by the ``Comba'' Method}{section.5.2} -\BOOKMARK [2][-]{subsection.5.2.3}{Polynomial Basis Multiplication}{section.5.2} -\BOOKMARK [2][-]{subsection.5.2.4}{Karatsuba Multiplication}{section.5.2} -\BOOKMARK [2][-]{subsection.5.2.5}{Toom-Cook 3-Way Multiplication}{section.5.2} -\BOOKMARK [2][-]{subsection.5.2.6}{Signed Multiplication}{section.5.2} -\BOOKMARK [1][-]{section.5.3}{Squaring}{chapter.5} -\BOOKMARK [2][-]{subsection.5.3.1}{The Baseline Squaring Algorithm}{section.5.3} -\BOOKMARK [2][-]{subsection.5.3.2}{Faster Squaring by the ``Comba'' Method}{section.5.3} -\BOOKMARK [2][-]{subsection.5.3.3}{Polynomial Basis Squaring}{section.5.3} -\BOOKMARK [2][-]{subsection.5.3.4}{Karatsuba Squaring}{section.5.3} -\BOOKMARK [2][-]{subsection.5.3.5}{Toom-Cook Squaring}{section.5.3} -\BOOKMARK [2][-]{subsection.5.3.6}{High Level Squaring}{section.5.3} -\BOOKMARK [0][-]{chapter.6}{Modular Reduction}{} -\BOOKMARK [1][-]{section.6.1}{Basics of Modular Reduction}{chapter.6} -\BOOKMARK [1][-]{section.6.2}{The Barrett Reduction}{chapter.6} -\BOOKMARK [2][-]{subsection.6.2.1}{Fixed Point Arithmetic}{section.6.2} -\BOOKMARK [2][-]{subsection.6.2.2}{Choosing a Radix Point}{section.6.2} -\BOOKMARK [2][-]{subsection.6.2.3}{Trimming the Quotient}{section.6.2} -\BOOKMARK [2][-]{subsection.6.2.4}{Trimming the Residue}{section.6.2} -\BOOKMARK [2][-]{subsection.6.2.5}{The Barrett Algorithm}{section.6.2} -\BOOKMARK [2][-]{subsection.6.2.6}{The Barrett Setup Algorithm}{section.6.2} -\BOOKMARK [1][-]{section.6.3}{The Montgomery Reduction}{chapter.6} -\BOOKMARK [2][-]{subsection.6.3.1}{Digit Based Montgomery Reduction}{section.6.3} -\BOOKMARK [2][-]{subsection.6.3.2}{Baseline Montgomery Reduction}{section.6.3} -\BOOKMARK [2][-]{subsection.6.3.3}{Faster ``Comba'' Montgomery Reduction}{section.6.3} -\BOOKMARK [2][-]{subsection.6.3.4}{Montgomery Setup}{section.6.3} -\BOOKMARK [1][-]{section.6.4}{The Diminished Radix Algorithm}{chapter.6} -\BOOKMARK [2][-]{subsection.6.4.1}{Choice of Moduli}{section.6.4} -\BOOKMARK [2][-]{subsection.6.4.2}{Choice of k}{section.6.4} -\BOOKMARK [2][-]{subsection.6.4.3}{Restricted Diminished Radix Reduction}{section.6.4} -\BOOKMARK [2][-]{subsection.6.4.4}{Unrestricted Diminished Radix Reduction}{section.6.4} -\BOOKMARK [1][-]{section.6.5}{Algorithm Comparison}{chapter.6} -\BOOKMARK [0][-]{chapter.7}{Exponentiation}{} -\BOOKMARK [1][-]{section.7.1}{Exponentiation Basics}{chapter.7} -\BOOKMARK [2][-]{subsection.7.1.1}{Single Digit Exponentiation}{section.7.1} -\BOOKMARK [1][-]{section.7.2}{k-ary Exponentiation}{chapter.7} -\BOOKMARK [2][-]{subsection.7.2.1}{Optimal Values of k}{section.7.2} -\BOOKMARK [2][-]{subsection.7.2.2}{Sliding-Window Exponentiation}{section.7.2} -\BOOKMARK [1][-]{section.7.3}{Modular Exponentiation}{chapter.7} -\BOOKMARK [2][-]{subsection.7.3.1}{Barrett Modular Exponentiation}{section.7.3} -\BOOKMARK [1][-]{section.7.4}{Quick Power of Two}{chapter.7} -\BOOKMARK [0][-]{chapter.8}{Higher Level Algorithms}{} -\BOOKMARK [1][-]{section.8.1}{Integer Division with Remainder}{chapter.8} -\BOOKMARK [2][-]{subsection.8.1.1}{Quotient Estimation}{section.8.1} -\BOOKMARK [2][-]{subsection.8.1.2}{Normalized Integers}{section.8.1} -\BOOKMARK [2][-]{subsection.8.1.3}{Radix- Division with Remainder}{section.8.1} -\BOOKMARK [1][-]{section.8.2}{Single Digit Helpers}{chapter.8} -\BOOKMARK [2][-]{subsection.8.2.1}{Single Digit Addition and Subtraction}{section.8.2} -\BOOKMARK [2][-]{subsection.8.2.2}{Single Digit Multiplication}{section.8.2} -\BOOKMARK [2][-]{subsection.8.2.3}{Single Digit Division}{section.8.2} -\BOOKMARK [2][-]{subsection.8.2.4}{Single Digit Root Extraction}{section.8.2} -\BOOKMARK [1][-]{section.8.3}{Random Number Generation}{chapter.8} -\BOOKMARK [1][-]{section.8.4}{Formatted Representations}{chapter.8} -\BOOKMARK [2][-]{subsection.8.4.1}{Reading Radix-n Input}{section.8.4} -\BOOKMARK [2][-]{subsection.8.4.2}{Generating Radix-n Output}{section.8.4} -\BOOKMARK [0][-]{chapter.9}{Number Theoretic Algorithms}{} -\BOOKMARK [1][-]{section.9.1}{Greatest Common Divisor}{chapter.9} -\BOOKMARK [2][-]{subsection.9.1.1}{Complete Greatest Common Divisor}{section.9.1} -\BOOKMARK [1][-]{section.9.2}{Least Common Multiple}{chapter.9} -\BOOKMARK [1][-]{section.9.3}{Jacobi Symbol Computation}{chapter.9} -\BOOKMARK [2][-]{subsection.9.3.1}{Jacobi Symbol}{section.9.3} -\BOOKMARK [1][-]{section.9.4}{Modular Inverse}{chapter.9} -\BOOKMARK [2][-]{subsection.9.4.1}{General Case}{section.9.4} -\BOOKMARK [1][-]{section.9.5}{Primality Tests}{chapter.9} -\BOOKMARK [2][-]{subsection.9.5.1}{Trial Division}{section.9.5} -\BOOKMARK [2][-]{subsection.9.5.2}{The Fermat Test}{section.9.5} -\BOOKMARK [2][-]{subsection.9.5.3}{The Miller-Rabin Test}{section.9.5} +\BOOKMARK [0][-]{chapter.1}{Introduction}{}% 1 +\BOOKMARK [1][-]{section.1.1}{Multiple Precision Arithmetic}{chapter.1}% 2 +\BOOKMARK [2][-]{subsection.1.1.1}{What is Multiple Precision Arithmetic?}{section.1.1}% 3 +\BOOKMARK [2][-]{subsection.1.1.2}{The Need for Multiple Precision Arithmetic}{section.1.1}% 4 +\BOOKMARK [2][-]{subsection.1.1.3}{Benefits of Multiple Precision Arithmetic}{section.1.1}% 5 +\BOOKMARK [1][-]{section.1.2}{Purpose of This Text}{chapter.1}% 6 +\BOOKMARK [1][-]{section.1.3}{Discussion and Notation}{chapter.1}% 7 +\BOOKMARK [2][-]{subsection.1.3.1}{Notation}{section.1.3}% 8 +\BOOKMARK [2][-]{subsection.1.3.2}{Precision Notation}{section.1.3}% 9 +\BOOKMARK [2][-]{subsection.1.3.3}{Algorithm Inputs and Outputs}{section.1.3}% 10 +\BOOKMARK [2][-]{subsection.1.3.4}{Mathematical Expressions}{section.1.3}% 11 +\BOOKMARK [2][-]{subsection.1.3.5}{Work Effort}{section.1.3}% 12 +\BOOKMARK [1][-]{section.1.4}{Exercises}{chapter.1}% 13 +\BOOKMARK [1][-]{section.1.5}{Introduction to LibTomMath}{chapter.1}% 14 +\BOOKMARK [2][-]{subsection.1.5.1}{What is LibTomMath?}{section.1.5}% 15 +\BOOKMARK [2][-]{subsection.1.5.2}{Goals of LibTomMath}{section.1.5}% 16 +\BOOKMARK [1][-]{section.1.6}{Choice of LibTomMath}{chapter.1}% 17 +\BOOKMARK [2][-]{subsection.1.6.1}{Code Base}{section.1.6}% 18 +\BOOKMARK [2][-]{subsection.1.6.2}{API Simplicity}{section.1.6}% 19 +\BOOKMARK [2][-]{subsection.1.6.3}{Optimizations}{section.1.6}% 20 +\BOOKMARK [2][-]{subsection.1.6.4}{Portability and Stability}{section.1.6}% 21 +\BOOKMARK [2][-]{subsection.1.6.5}{Choice}{section.1.6}% 22 +\BOOKMARK [0][-]{chapter.2}{Getting Started}{}% 23 +\BOOKMARK [1][-]{section.2.1}{Library Basics}{chapter.2}% 24 +\BOOKMARK [1][-]{section.2.2}{What is a Multiple Precision Integer?}{chapter.2}% 25 +\BOOKMARK [2][-]{subsection.2.2.1}{The mp\137int Structure}{section.2.2}% 26 +\BOOKMARK [1][-]{section.2.3}{Argument Passing}{chapter.2}% 27 +\BOOKMARK [1][-]{section.2.4}{Return Values}{chapter.2}% 28 +\BOOKMARK [1][-]{section.2.5}{Initialization and Clearing}{chapter.2}% 29 +\BOOKMARK [2][-]{subsection.2.5.1}{Initializing an mp\137int}{section.2.5}% 30 +\BOOKMARK [2][-]{subsection.2.5.2}{Clearing an mp\137int}{section.2.5}% 31 +\BOOKMARK [1][-]{section.2.6}{Maintenance Algorithms}{chapter.2}% 32 +\BOOKMARK [2][-]{subsection.2.6.1}{Augmenting an mp\137int's Precision}{section.2.6}% 33 +\BOOKMARK [2][-]{subsection.2.6.2}{Initializing Variable Precision mp\137ints}{section.2.6}% 34 +\BOOKMARK [2][-]{subsection.2.6.3}{Multiple Integer Initializations and Clearings}{section.2.6}% 35 +\BOOKMARK [2][-]{subsection.2.6.4}{Clamping Excess Digits}{section.2.6}% 36 +\BOOKMARK [0][-]{chapter.3}{Basic Operations}{}% 37 +\BOOKMARK [1][-]{section.3.1}{Introduction}{chapter.3}% 38 +\BOOKMARK [1][-]{section.3.2}{Assigning Values to mp\137int Structures}{chapter.3}% 39 +\BOOKMARK [2][-]{subsection.3.2.1}{Copying an mp\137int}{section.3.2}% 40 +\BOOKMARK [2][-]{subsection.3.2.2}{Creating a Clone}{section.3.2}% 41 +\BOOKMARK [1][-]{section.3.3}{Zeroing an Integer}{chapter.3}% 42 +\BOOKMARK [1][-]{section.3.4}{Sign Manipulation}{chapter.3}% 43 +\BOOKMARK [2][-]{subsection.3.4.1}{Absolute Value}{section.3.4}% 44 +\BOOKMARK [2][-]{subsection.3.4.2}{Integer Negation}{section.3.4}% 45 +\BOOKMARK [1][-]{section.3.5}{Small Constants}{chapter.3}% 46 +\BOOKMARK [2][-]{subsection.3.5.1}{Setting Small Constants}{section.3.5}% 47 +\BOOKMARK [2][-]{subsection.3.5.2}{Setting Large Constants}{section.3.5}% 48 +\BOOKMARK [1][-]{section.3.6}{Comparisons}{chapter.3}% 49 +\BOOKMARK [2][-]{subsection.3.6.1}{Unsigned Comparisions}{section.3.6}% 50 +\BOOKMARK [2][-]{subsection.3.6.2}{Signed Comparisons}{section.3.6}% 51 +\BOOKMARK [0][-]{chapter.4}{Basic Arithmetic}{}% 52 +\BOOKMARK [1][-]{section.4.1}{Introduction}{chapter.4}% 53 +\BOOKMARK [1][-]{section.4.2}{Addition and Subtraction}{chapter.4}% 54 +\BOOKMARK [2][-]{subsection.4.2.1}{Low Level Addition}{section.4.2}% 55 +\BOOKMARK [2][-]{subsection.4.2.2}{Low Level Subtraction}{section.4.2}% 56 +\BOOKMARK [2][-]{subsection.4.2.3}{High Level Addition}{section.4.2}% 57 +\BOOKMARK [2][-]{subsection.4.2.4}{High Level Subtraction}{section.4.2}% 58 +\BOOKMARK [1][-]{section.4.3}{Bit and Digit Shifting}{chapter.4}% 59 +\BOOKMARK [2][-]{subsection.4.3.1}{Multiplication by Two}{section.4.3}% 60 +\BOOKMARK [2][-]{subsection.4.3.2}{Division by Two}{section.4.3}% 61 +\BOOKMARK [1][-]{section.4.4}{Polynomial Basis Operations}{chapter.4}% 62 +\BOOKMARK [2][-]{subsection.4.4.1}{Multiplication by x}{section.4.4}% 63 +\BOOKMARK [2][-]{subsection.4.4.2}{Division by x}{section.4.4}% 64 +\BOOKMARK [1][-]{section.4.5}{Powers of Two}{chapter.4}% 65 +\BOOKMARK [2][-]{subsection.4.5.1}{Multiplication by Power of Two}{section.4.5}% 66 +\BOOKMARK [2][-]{subsection.4.5.2}{Division by Power of Two}{section.4.5}% 67 +\BOOKMARK [2][-]{subsection.4.5.3}{Remainder of Division by Power of Two}{section.4.5}% 68 +\BOOKMARK [0][-]{chapter.5}{Multiplication and Squaring}{}% 69 +\BOOKMARK [1][-]{section.5.1}{The Multipliers}{chapter.5}% 70 +\BOOKMARK [1][-]{section.5.2}{Multiplication}{chapter.5}% 71 +\BOOKMARK [2][-]{subsection.5.2.1}{The Baseline Multiplication}{section.5.2}% 72 +\BOOKMARK [2][-]{subsection.5.2.2}{Faster Multiplication by the ``Comba'' Method}{section.5.2}% 73 +\BOOKMARK [2][-]{subsection.5.2.3}{Polynomial Basis Multiplication}{section.5.2}% 74 +\BOOKMARK [2][-]{subsection.5.2.4}{Karatsuba Multiplication}{section.5.2}% 75 +\BOOKMARK [2][-]{subsection.5.2.5}{Toom-Cook 3-Way Multiplication}{section.5.2}% 76 +\BOOKMARK [2][-]{subsection.5.2.6}{Signed Multiplication}{section.5.2}% 77 +\BOOKMARK [1][-]{section.5.3}{Squaring}{chapter.5}% 78 +\BOOKMARK [2][-]{subsection.5.3.1}{The Baseline Squaring Algorithm}{section.5.3}% 79 +\BOOKMARK [2][-]{subsection.5.3.2}{Faster Squaring by the ``Comba'' Method}{section.5.3}% 80 +\BOOKMARK [2][-]{subsection.5.3.3}{Polynomial Basis Squaring}{section.5.3}% 81 +\BOOKMARK [2][-]{subsection.5.3.4}{Karatsuba Squaring}{section.5.3}% 82 +\BOOKMARK [2][-]{subsection.5.3.5}{Toom-Cook Squaring}{section.5.3}% 83 +\BOOKMARK [2][-]{subsection.5.3.6}{High Level Squaring}{section.5.3}% 84 +\BOOKMARK [0][-]{chapter.6}{Modular Reduction}{}% 85 +\BOOKMARK [1][-]{section.6.1}{Basics of Modular Reduction}{chapter.6}% 86 +\BOOKMARK [1][-]{section.6.2}{The Barrett Reduction}{chapter.6}% 87 +\BOOKMARK [2][-]{subsection.6.2.1}{Fixed Point Arithmetic}{section.6.2}% 88 +\BOOKMARK [2][-]{subsection.6.2.2}{Choosing a Radix Point}{section.6.2}% 89 +\BOOKMARK [2][-]{subsection.6.2.3}{Trimming the Quotient}{section.6.2}% 90 +\BOOKMARK [2][-]{subsection.6.2.4}{Trimming the Residue}{section.6.2}% 91 +\BOOKMARK [2][-]{subsection.6.2.5}{The Barrett Algorithm}{section.6.2}% 92 +\BOOKMARK [2][-]{subsection.6.2.6}{The Barrett Setup Algorithm}{section.6.2}% 93 +\BOOKMARK [1][-]{section.6.3}{The Montgomery Reduction}{chapter.6}% 94 +\BOOKMARK [2][-]{subsection.6.3.1}{Digit Based Montgomery Reduction}{section.6.3}% 95 +\BOOKMARK [2][-]{subsection.6.3.2}{Baseline Montgomery Reduction}{section.6.3}% 96 +\BOOKMARK [2][-]{subsection.6.3.3}{Faster ``Comba'' Montgomery Reduction}{section.6.3}% 97 +\BOOKMARK [2][-]{subsection.6.3.4}{Montgomery Setup}{section.6.3}% 98 +\BOOKMARK [1][-]{section.6.4}{The Diminished Radix Algorithm}{chapter.6}% 99 +\BOOKMARK [2][-]{subsection.6.4.1}{Choice of Moduli}{section.6.4}% 100 +\BOOKMARK [2][-]{subsection.6.4.2}{Choice of k}{section.6.4}% 101 +\BOOKMARK [2][-]{subsection.6.4.3}{Restricted Diminished Radix Reduction}{section.6.4}% 102 +\BOOKMARK [2][-]{subsection.6.4.4}{Unrestricted Diminished Radix Reduction}{section.6.4}% 103 +\BOOKMARK [1][-]{section.6.5}{Algorithm Comparison}{chapter.6}% 104 +\BOOKMARK [0][-]{chapter.7}{Exponentiation}{}% 105 +\BOOKMARK [1][-]{section.7.1}{Exponentiation Basics}{chapter.7}% 106 +\BOOKMARK [2][-]{subsection.7.1.1}{Single Digit Exponentiation}{section.7.1}% 107 +\BOOKMARK [1][-]{section.7.2}{k-ary Exponentiation}{chapter.7}% 108 +\BOOKMARK [2][-]{subsection.7.2.1}{Optimal Values of k}{section.7.2}% 109 +\BOOKMARK [2][-]{subsection.7.2.2}{Sliding-Window Exponentiation}{section.7.2}% 110 +\BOOKMARK [1][-]{section.7.3}{Modular Exponentiation}{chapter.7}% 111 +\BOOKMARK [2][-]{subsection.7.3.1}{Barrett Modular Exponentiation}{section.7.3}% 112 +\BOOKMARK [1][-]{section.7.4}{Quick Power of Two}{chapter.7}% 113 +\BOOKMARK [0][-]{chapter.8}{Higher Level Algorithms}{}% 114 +\BOOKMARK [1][-]{section.8.1}{Integer Division with Remainder}{chapter.8}% 115 +\BOOKMARK [2][-]{subsection.8.1.1}{Quotient Estimation}{section.8.1}% 116 +\BOOKMARK [2][-]{subsection.8.1.2}{Normalized Integers}{section.8.1}% 117 +\BOOKMARK [2][-]{subsection.8.1.3}{Radix- Division with Remainder}{section.8.1}% 118 +\BOOKMARK [1][-]{section.8.2}{Single Digit Helpers}{chapter.8}% 119 +\BOOKMARK [2][-]{subsection.8.2.1}{Single Digit Addition and Subtraction}{section.8.2}% 120 +\BOOKMARK [2][-]{subsection.8.2.2}{Single Digit Multiplication}{section.8.2}% 121 +\BOOKMARK [2][-]{subsection.8.2.3}{Single Digit Division}{section.8.2}% 122 +\BOOKMARK [2][-]{subsection.8.2.4}{Single Digit Root Extraction}{section.8.2}% 123 +\BOOKMARK [1][-]{section.8.3}{Random Number Generation}{chapter.8}% 124 +\BOOKMARK [1][-]{section.8.4}{Formatted Representations}{chapter.8}% 125 +\BOOKMARK [2][-]{subsection.8.4.1}{Reading Radix-n Input}{section.8.4}% 126 +\BOOKMARK [2][-]{subsection.8.4.2}{Generating Radix-n Output}{section.8.4}% 127 +\BOOKMARK [0][-]{chapter.9}{Number Theoretic Algorithms}{}% 128 +\BOOKMARK [1][-]{section.9.1}{Greatest Common Divisor}{chapter.9}% 129 +\BOOKMARK [2][-]{subsection.9.1.1}{Complete Greatest Common Divisor}{section.9.1}% 130 +\BOOKMARK [1][-]{section.9.2}{Least Common Multiple}{chapter.9}% 131 +\BOOKMARK [1][-]{section.9.3}{Jacobi Symbol Computation}{chapter.9}% 132 +\BOOKMARK [2][-]{subsection.9.3.1}{Jacobi Symbol}{section.9.3}% 133 +\BOOKMARK [1][-]{section.9.4}{Modular Inverse}{chapter.9}% 134 +\BOOKMARK [2][-]{subsection.9.4.1}{General Case}{section.9.4}% 135 +\BOOKMARK [1][-]{section.9.5}{Primality Tests}{chapter.9}% 136 +\BOOKMARK [2][-]{subsection.9.5.1}{Trial Division}{section.9.5}% 137 +\BOOKMARK [2][-]{subsection.9.5.2}{The Fermat Test}{section.9.5}% 138 +\BOOKMARK [2][-]{subsection.9.5.3}{The Miller-Rabin Test}{section.9.5}% 139 diff --git a/libtommath/tommath.pdf b/libtommath/tommath.pdf index 0b68941..6a6787e 100644 Binary files a/libtommath/tommath.pdf and b/libtommath/tommath.pdf differ diff --git a/libtommath/tommath.src b/libtommath/tommath.src index 4065822..768ed10 100644 --- a/libtommath/tommath.src +++ b/libtommath/tommath.src @@ -66,31 +66,20 @@ QUALCOMM Australia \\ } } \maketitle -This text has been placed in the public domain. This text corresponds to the v0.39 release of the +This text has been placed in the public domain. This text corresponds to the v0.39 release of the LibTomMath project. -\begin{alltt} -Tom St Denis -111 Banning Rd -Ottawa, Ontario -K2L 1C3 -Canada - -Phone: 1-613-836-3160 -Email: tomstdenis@gmail.com -\end{alltt} - -This text is formatted to the international B5 paper size of 176mm wide by 250mm tall using the \LaTeX{} +This text is formatted to the international B5 paper size of 176mm wide by 250mm tall using the \LaTeX{} {\em book} macro package and the Perl {\em booker} package. \tableofcontents \listoffigures \chapter*{Prefaces} -When I tell people about my LibTom projects and that I release them as public domain they are often puzzled. -They ask why I did it and especially why I continue to work on them for free. The best I can explain it is ``Because I can.'' -Which seems odd and perhaps too terse for adult conversation. I often qualify it with ``I am able, I am willing.'' which +When I tell people about my LibTom projects and that I release them as public domain they are often puzzled. +They ask why I did it and especially why I continue to work on them for free. The best I can explain it is ``Because I can.'' +Which seems odd and perhaps too terse for adult conversation. I often qualify it with ``I am able, I am willing.'' which perhaps explains it better. I am the first to admit there is not anything that special with what I have done. Perhaps -others can see that too and then we would have a society to be proud of. My LibTom projects are what I am doing to give +others can see that too and then we would have a society to be proud of. My LibTom projects are what I am doing to give back to society in the form of tools and knowledge that can help others in their endeavours. I started writing this book because it was the most logical task to further my goal of open academia. The LibTomMath source @@ -103,9 +92,9 @@ from relatively straightforward algebra and I hope that this book can be a valua This book and indeed much of the LibTom projects would not exist in their current form if it was not for a plethora of kind people donating their time, resources and kind words to help support my work. Writing a text of significant length (along with the source code) is a tiresome and lengthy process. Currently the LibTom project is four years old, -comprises of literally thousands of users and over 100,000 lines of source code, TeX and other material. People like Mads and Greg -were there at the beginning to encourage me to work well. It is amazing how timely validation from others can boost morale to -continue the project. Definitely my parents were there for me by providing room and board during the many months of work in 2003. +comprises of literally thousands of users and over 100,000 lines of source code, TeX and other material. People like Mads and Greg +were there at the beginning to encourage me to work well. It is amazing how timely validation from others can boost morale to +continue the project. Definitely my parents were there for me by providing room and board during the many months of work in 2003. To my many friends whom I have met through the years I thank you for the good times and the words of encouragement. I hope I honour your kind gestures with this project. @@ -115,22 +104,22 @@ Open Source. Open Academia. Open Minds. \begin{flushright} Tom St Denis \end{flushright} \newpage -I found the opportunity to work with Tom appealing for several reasons, not only could I broaden my own horizons, but also +I found the opportunity to work with Tom appealing for several reasons, not only could I broaden my own horizons, but also contribute to educate others facing the problem of having to handle big number mathematical calculations. -This book is Tom's child and he has been caring and fostering the project ever since the beginning with a clear mind of -how he wanted the project to turn out. I have helped by proofreading the text and we have had several discussions about +This book is Tom's child and he has been caring and fostering the project ever since the beginning with a clear mind of +how he wanted the project to turn out. I have helped by proofreading the text and we have had several discussions about the layout and language used. -I hold a masters degree in cryptography from the University of Southern Denmark and have always been interested in the -practical aspects of cryptography. +I hold a masters degree in cryptography from the University of Southern Denmark and have always been interested in the +practical aspects of cryptography. -Having worked in the security consultancy business for several years in S\~{a}o Paulo, Brazil, I have been in touch with a -great deal of work in which multiple precision mathematics was needed. Understanding the possibilities for speeding up -multiple precision calculations is often very important since we deal with outdated machine architecture where modular +Having worked in the security consultancy business for several years in S\~{a}o Paulo, Brazil, I have been in touch with a +great deal of work in which multiple precision mathematics was needed. Understanding the possibilities for speeding up +multiple precision calculations is often very important since we deal with outdated machine architecture where modular reductions, for example, become painfully slow. -This text is for people who stop and wonder when first examining algorithms such as RSA for the first time and asks +This text is for people who stop and wonder when first examining algorithms such as RSA for the first time and asks themselves, ``You tell me this is only secure for large numbers, fine; but how do you implement these numbers?'' \begin{flushright} @@ -142,22 +131,22 @@ Brazil \end{flushright} \newpage -It's all because I broke my leg. That just happened to be at about the same time that Tom asked for someone to review the section of the book about -Karatsuba multiplication. I was laid up, alone and immobile, and thought ``Why not?'' I vaguely knew what Karatsuba multiplication was, but not +It's all because I broke my leg. That just happened to be at about the same time that Tom asked for someone to review the section of the book about +Karatsuba multiplication. I was laid up, alone and immobile, and thought ``Why not?'' I vaguely knew what Karatsuba multiplication was, but not really, so I thought I could help, learn, and stop myself from watching daytime cable TV, all at once. -At the time of writing this, I've still not met Tom or Mads in meatspace. I've been following Tom's progress since his first splash on the +At the time of writing this, I've still not met Tom or Mads in meatspace. I've been following Tom's progress since his first splash on the sci.crypt Usenet news group. I watched him go from a clueless newbie, to the cryptographic equivalent of a reformed smoker, to a real -contributor to the field, over a period of about two years. I've been impressed with his obvious intelligence, and astounded by his productivity. +contributor to the field, over a period of about two years. I've been impressed with his obvious intelligence, and astounded by his productivity. Of course, he's young enough to be my own child, so he doesn't have my problems with staying awake. -When I reviewed that single section of the book, in its very earliest form, I was very pleasantly surprised. So I decided to collaborate more fully, -and at least review all of it, and perhaps write some bits too. There's still a long way to go with it, and I have watched a number of close -friends go through the mill of publication, so I think that the way to go is longer than Tom thinks it is. Nevertheless, it's a good effort, +When I reviewed that single section of the book, in its very earliest form, I was very pleasantly surprised. So I decided to collaborate more fully, +and at least review all of it, and perhaps write some bits too. There's still a long way to go with it, and I have watched a number of close +friends go through the mill of publication, so I think that the way to go is longer than Tom thinks it is. Nevertheless, it's a good effort, and I'm pleased to be involved with it. \begin{flushright} -Greg Rose, Sydney, Australia, June 2003. +Greg Rose, Sydney, Australia, June 2003. \end{flushright} \mainmatter @@ -167,23 +156,23 @@ Greg Rose, Sydney, Australia, June 2003. \subsection{What is Multiple Precision Arithmetic?} When we think of long-hand arithmetic such as addition or multiplication we rarely consider the fact that we instinctively -raise or lower the precision of the numbers we are dealing with. For example, in decimal we almost immediate can -reason that $7$ times $6$ is $42$. However, $42$ has two digits of precision as opposed to one digit we started with. -Further multiplications of say $3$ result in a larger precision result $126$. In these few examples we have multiple +raise or lower the precision of the numbers we are dealing with. For example, in decimal we almost immediate can +reason that $7$ times $6$ is $42$. However, $42$ has two digits of precision as opposed to one digit we started with. +Further multiplications of say $3$ result in a larger precision result $126$. In these few examples we have multiple precisions for the numbers we are working with. Despite the various levels of precision a single subset\footnote{With the occasional optimization.} - of algorithms can be designed to accomodate them. + of algorithms can be designed to accomodate them. By way of comparison a fixed or single precision operation would lose precision on various operations. For example, in the decimal system with fixed precision $6 \cdot 7 = 2$. Essentially at the heart of computer based multiple precision arithmetic are the same long-hand algorithms taught in -schools to manually add, subtract, multiply and divide. +schools to manually add, subtract, multiply and divide. \subsection{The Need for Multiple Precision Arithmetic} The most prevalent need for multiple precision arithmetic, often referred to as ``bignum'' math, is within the implementation -of public-key cryptography algorithms. Algorithms such as RSA \cite{RSAREF} and Diffie-Hellman \cite{DHREF} require -integers of significant magnitude to resist known cryptanalytic attacks. For example, at the time of this writing a -typical RSA modulus would be at least greater than $10^{309}$. However, modern programming languages such as ISO C \cite{ISOC} and +of public-key cryptography algorithms. Algorithms such as RSA \cite{RSAREF} and Diffie-Hellman \cite{DHREF} require +integers of significant magnitude to resist known cryptanalytic attacks. For example, at the time of this writing a +typical RSA modulus would be at least greater than $10^{309}$. However, modern programming languages such as ISO C \cite{ISOC} and Java \cite{JAVA} only provide instrinsic support for integers which are relatively small and single precision. \begin{figure}[!here] @@ -201,27 +190,27 @@ Java \cite{JAVA} only provide instrinsic support for integers which are relative \label{fig:ISOC} \end{figure} -The largest data type guaranteed to be provided by the ISO C programming -language\footnote{As per the ISO C standard. However, each compiler vendor is allowed to augment the precision as they -see fit.} can only represent values up to $10^{19}$ as shown in figure \ref{fig:ISOC}. On its own the C language is -insufficient to accomodate the magnitude required for the problem at hand. An RSA modulus of magnitude $10^{19}$ could be -trivially factored\footnote{A Pollard-Rho factoring would take only $2^{16}$ time.} on the average desktop computer, -rendering any protocol based on the algorithm insecure. Multiple precision algorithms solve this very problem by +The largest data type guaranteed to be provided by the ISO C programming +language\footnote{As per the ISO C standard. However, each compiler vendor is allowed to augment the precision as they +see fit.} can only represent values up to $10^{19}$ as shown in figure \ref{fig:ISOC}. On its own the C language is +insufficient to accomodate the magnitude required for the problem at hand. An RSA modulus of magnitude $10^{19}$ could be +trivially factored\footnote{A Pollard-Rho factoring would take only $2^{16}$ time.} on the average desktop computer, +rendering any protocol based on the algorithm insecure. Multiple precision algorithms solve this very problem by extending the range of representable integers while using single precision data types. -Most advancements in fast multiple precision arithmetic stem from the need for faster and more efficient cryptographic -primitives. Faster modular reduction and exponentiation algorithms such as Barrett's algorithm, which have appeared in -various cryptographic journals, can render algorithms such as RSA and Diffie-Hellman more efficient. In fact, several -major companies such as RSA Security, Certicom and Entrust have built entire product lines on the implementation and +Most advancements in fast multiple precision arithmetic stem from the need for faster and more efficient cryptographic +primitives. Faster modular reduction and exponentiation algorithms such as Barrett's algorithm, which have appeared in +various cryptographic journals, can render algorithms such as RSA and Diffie-Hellman more efficient. In fact, several +major companies such as RSA Security, Certicom and Entrust have built entire product lines on the implementation and deployment of efficient algorithms. -However, cryptography is not the only field of study that can benefit from fast multiple precision integer routines. -Another auxiliary use of multiple precision integers is high precision floating point data types. -The basic IEEE \cite{IEEE} standard floating point type is made up of an integer mantissa $q$, an exponent $e$ and a sign bit $s$. -Numbers are given in the form $n = q \cdot b^e \cdot -1^s$ where $b = 2$ is the most common base for IEEE. Since IEEE -floating point is meant to be implemented in hardware the precision of the mantissa is often fairly small +However, cryptography is not the only field of study that can benefit from fast multiple precision integer routines. +Another auxiliary use of multiple precision integers is high precision floating point data types. +The basic IEEE \cite{IEEE} standard floating point type is made up of an integer mantissa $q$, an exponent $e$ and a sign bit $s$. +Numbers are given in the form $n = q \cdot b^e \cdot -1^s$ where $b = 2$ is the most common base for IEEE. Since IEEE +floating point is meant to be implemented in hardware the precision of the mantissa is often fairly small (\textit{23, 48 and 64 bits}). The mantissa is merely an integer and a multiple precision integer could be used to create -a mantissa of much larger precision than hardware alone can efficiently support. This approach could be useful where +a mantissa of much larger precision than hardware alone can efficiently support. This approach could be useful where scientific applications must minimize the total output error over long calculations. Yet another use for large integers is within arithmetic on polynomials of large characteristic (i.e. $GF(p)[x]$ for large $p$). @@ -229,152 +218,152 @@ In fact the library discussed within this text has already been used to form a p \subsection{Benefits of Multiple Precision Arithmetic} \index{precision} -The benefit of multiple precision representations over single or fixed precision representations is that -no precision is lost while representing the result of an operation which requires excess precision. For example, -the product of two $n$-bit integers requires at least $2n$ bits of precision to be represented faithfully. A multiple -precision algorithm would augment the precision of the destination to accomodate the result while a single precision system +The benefit of multiple precision representations over single or fixed precision representations is that +no precision is lost while representing the result of an operation which requires excess precision. For example, +the product of two $n$-bit integers requires at least $2n$ bits of precision to be represented faithfully. A multiple +precision algorithm would augment the precision of the destination to accomodate the result while a single precision system would truncate excess bits to maintain a fixed level of precision. It is possible to implement algorithms which require large integers with fixed precision algorithms. For example, elliptic -curve cryptography (\textit{ECC}) is often implemented on smartcards by fixing the precision of the integers to the maximum -size the system will ever need. Such an approach can lead to vastly simpler algorithms which can accomodate the -integers required even if the host platform cannot natively accomodate them\footnote{For example, the average smartcard +curve cryptography (\textit{ECC}) is often implemented on smartcards by fixing the precision of the integers to the maximum +size the system will ever need. Such an approach can lead to vastly simpler algorithms which can accomodate the +integers required even if the host platform cannot natively accomodate them\footnote{For example, the average smartcard processor has an 8 bit accumulator.}. However, as efficient as such an approach may be, the resulting source code is not normally very flexible. It cannot, at runtime, accomodate inputs of higher magnitude than the designer anticipated. -Multiple precision algorithms have the most overhead of any style of arithmetic. For the the most part the +Multiple precision algorithms have the most overhead of any style of arithmetic. For the the most part the overhead can be kept to a minimum with careful planning, but overall, it is not well suited for most memory starved -platforms. However, multiple precision algorithms do offer the most flexibility in terms of the magnitude of the -inputs. That is, the same algorithms based on multiple precision integers can accomodate any reasonable size input -without the designer's explicit forethought. This leads to lower cost of ownership for the code as it only has to +platforms. However, multiple precision algorithms do offer the most flexibility in terms of the magnitude of the +inputs. That is, the same algorithms based on multiple precision integers can accomodate any reasonable size input +without the designer's explicit forethought. This leads to lower cost of ownership for the code as it only has to be written and tested once. \section{Purpose of This Text} -The purpose of this text is to instruct the reader regarding how to implement efficient multiple precision algorithms. -That is to not only explain a limited subset of the core theory behind the algorithms but also the various ``house keeping'' -elements that are neglected by authors of other texts on the subject. Several well reknowned texts \cite{TAOCPV2,HAC} -give considerably detailed explanations of the theoretical aspects of algorithms and often very little information -regarding the practical implementation aspects. - -In most cases how an algorithm is explained and how it is actually implemented are two very different concepts. For -example, the Handbook of Applied Cryptography (\textit{HAC}), algorithm 14.7 on page 594, gives a relatively simple -algorithm for performing multiple precision integer addition. However, the description lacks any discussion concerning +The purpose of this text is to instruct the reader regarding how to implement efficient multiple precision algorithms. +That is to not only explain a limited subset of the core theory behind the algorithms but also the various ``house keeping'' +elements that are neglected by authors of other texts on the subject. Several well reknowned texts \cite{TAOCPV2,HAC} +give considerably detailed explanations of the theoretical aspects of algorithms and often very little information +regarding the practical implementation aspects. + +In most cases how an algorithm is explained and how it is actually implemented are two very different concepts. For +example, the Handbook of Applied Cryptography (\textit{HAC}), algorithm 14.7 on page 594, gives a relatively simple +algorithm for performing multiple precision integer addition. However, the description lacks any discussion concerning the fact that the two integer inputs may be of differing magnitudes. As a result the implementation is not as simple -as the text would lead people to believe. Similarly the division routine (\textit{algorithm 14.20, pp. 598}) does not +as the text would lead people to believe. Similarly the division routine (\textit{algorithm 14.20, pp. 598}) does not discuss how to handle sign or handle the dividend's decreasing magnitude in the main loop (\textit{step \#3}). -Both texts also do not discuss several key optimal algorithms required such as ``Comba'' and Karatsuba multipliers -and fast modular inversion, which we consider practical oversights. These optimal algorithms are vital to achieve -any form of useful performance in non-trivial applications. +Both texts also do not discuss several key optimal algorithms required such as ``Comba'' and Karatsuba multipliers +and fast modular inversion, which we consider practical oversights. These optimal algorithms are vital to achieve +any form of useful performance in non-trivial applications. To solve this problem the focus of this text is on the practical aspects of implementing a multiple precision integer -package. As a case study the ``LibTomMath''\footnote{Available at \url{http://math.libtomcrypt.com}} package is used -to demonstrate algorithms with real implementations\footnote{In the ISO C programming language.} that have been field -tested and work very well. The LibTomMath library is freely available on the Internet for all uses and this text +package. As a case study the ``LibTomMath''\footnote{Available at \url{http://math.libtomcrypt.com}} package is used +to demonstrate algorithms with real implementations\footnote{In the ISO C programming language.} that have been field +tested and work very well. The LibTomMath library is freely available on the Internet for all uses and this text discusses a very large portion of the inner workings of the library. -The algorithms that are presented will always include at least one ``pseudo-code'' description followed -by the actual C source code that implements the algorithm. The pseudo-code can be used to implement the same -algorithm in other programming languages as the reader sees fit. +The algorithms that are presented will always include at least one ``pseudo-code'' description followed +by the actual C source code that implements the algorithm. The pseudo-code can be used to implement the same +algorithm in other programming languages as the reader sees fit. This text shall also serve as a walkthrough of the creation of multiple precision algorithms from scratch. Showing -the reader how the algorithms fit together as well as where to start on various taskings. +the reader how the algorithms fit together as well as where to start on various taskings. \section{Discussion and Notation} \subsection{Notation} A multiple precision integer of $n$-digits shall be denoted as $x = (x_{n-1}, \ldots, x_1, x_0)_{ \beta }$ and represent -the integer $x \equiv \sum_{i=0}^{n-1} x_i\beta^i$. The elements of the array $x$ are said to be the radix $\beta$ digits -of the integer. For example, $x = (1,2,3)_{10}$ would represent the integer -$1\cdot 10^2 + 2\cdot10^1 + 3\cdot10^0 = 123$. +the integer $x \equiv \sum_{i=0}^{n-1} x_i\beta^i$. The elements of the array $x$ are said to be the radix $\beta$ digits +of the integer. For example, $x = (1,2,3)_{10}$ would represent the integer +$1\cdot 10^2 + 2\cdot10^1 + 3\cdot10^0 = 123$. \index{mp\_int} -The term ``mp\_int'' shall refer to a composite structure which contains the digits of the integer it represents, as well -as auxilary data required to manipulate the data. These additional members are discussed further in section -\ref{sec:MPINT}. For the purposes of this text a ``multiple precision integer'' and an ``mp\_int'' are assumed to be -synonymous. When an algorithm is specified to accept an mp\_int variable it is assumed the various auxliary data members -are present as well. An expression of the type \textit{variablename.item} implies that it should evaluate to the -member named ``item'' of the variable. For example, a string of characters may have a member ``length'' which would -evaluate to the number of characters in the string. If the string $a$ equals ``hello'' then it follows that -$a.length = 5$. +The term ``mp\_int'' shall refer to a composite structure which contains the digits of the integer it represents, as well +as auxilary data required to manipulate the data. These additional members are discussed further in section +\ref{sec:MPINT}. For the purposes of this text a ``multiple precision integer'' and an ``mp\_int'' are assumed to be +synonymous. When an algorithm is specified to accept an mp\_int variable it is assumed the various auxliary data members +are present as well. An expression of the type \textit{variablename.item} implies that it should evaluate to the +member named ``item'' of the variable. For example, a string of characters may have a member ``length'' which would +evaluate to the number of characters in the string. If the string $a$ equals ``hello'' then it follows that +$a.length = 5$. For certain discussions more generic algorithms are presented to help the reader understand the final algorithm used -to solve a given problem. When an algorithm is described as accepting an integer input it is assumed the input is -a plain integer with no additional multiple-precision members. That is, algorithms that use integers as opposed to -mp\_ints as inputs do not concern themselves with the housekeeping operations required such as memory management. These +to solve a given problem. When an algorithm is described as accepting an integer input it is assumed the input is +a plain integer with no additional multiple-precision members. That is, algorithms that use integers as opposed to +mp\_ints as inputs do not concern themselves with the housekeeping operations required such as memory management. These algorithms will be used to establish the relevant theory which will subsequently be used to describe a multiple -precision algorithm to solve the same problem. +precision algorithm to solve the same problem. \subsection{Precision Notation} -The variable $\beta$ represents the radix of a single digit of a multiple precision integer and -must be of the form $q^p$ for $q, p \in \Z^+$. A single precision variable must be able to represent integers in -the range $0 \le x < q \beta$ while a double precision variable must be able to represent integers in the range -$0 \le x < q \beta^2$. The extra radix-$q$ factor allows additions and subtractions to proceed without truncation of the +The variable $\beta$ represents the radix of a single digit of a multiple precision integer and +must be of the form $q^p$ for $q, p \in \Z^+$. A single precision variable must be able to represent integers in +the range $0 \le x < q \beta$ while a double precision variable must be able to represent integers in the range +$0 \le x < q \beta^2$. The extra radix-$q$ factor allows additions and subtractions to proceed without truncation of the carry. Since all modern computers are binary, it is assumed that $q$ is two. \index{mp\_digit} \index{mp\_word} -Within the source code that will be presented for each algorithm, the data type \textbf{mp\_digit} will represent -a single precision integer type, while, the data type \textbf{mp\_word} will represent a double precision integer type. In -several algorithms (notably the Comba routines) temporary results will be stored in arrays of double precision mp\_words. -For the purposes of this text $x_j$ will refer to the $j$'th digit of a single precision array and $\hat x_j$ will refer to +Within the source code that will be presented for each algorithm, the data type \textbf{mp\_digit} will represent +a single precision integer type, while, the data type \textbf{mp\_word} will represent a double precision integer type. In +several algorithms (notably the Comba routines) temporary results will be stored in arrays of double precision mp\_words. +For the purposes of this text $x_j$ will refer to the $j$'th digit of a single precision array and $\hat x_j$ will refer to the $j$'th digit of a double precision array. Whenever an expression is to be assigned to a double precision -variable it is assumed that all single precision variables are promoted to double precision during the evaluation. +variable it is assumed that all single precision variables are promoted to double precision during the evaluation. Expressions that are assigned to a single precision variable are truncated to fit within the precision of a single precision data type. -For example, if $\beta = 10^2$ a single precision data type may represent a value in the +For example, if $\beta = 10^2$ a single precision data type may represent a value in the range $0 \le x < 10^3$, while a double precision data type may represent a value in the range $0 \le x < 10^5$. Let $a = 23$ and $b = 49$ represent two single precision variables. The single precision product shall be written as $c \leftarrow a \cdot b$ while the double precision product shall be written as $\hat c \leftarrow a \cdot b$. -In this particular case, $\hat c = 1127$ and $c = 127$. The most significant digit of the product would not fit -in a single precision data type and as a result $c \ne \hat c$. +In this particular case, $\hat c = 1127$ and $c = 127$. The most significant digit of the product would not fit +in a single precision data type and as a result $c \ne \hat c$. \subsection{Algorithm Inputs and Outputs} Within the algorithm descriptions all variables are assumed to be scalars of either single or double precision -as indicated. The only exception to this rule is when variables have been indicated to be of type mp\_int. This -distinction is important as scalars are often used as array indicies and various other counters. +as indicated. The only exception to this rule is when variables have been indicated to be of type mp\_int. This +distinction is important as scalars are often used as array indicies and various other counters. \subsection{Mathematical Expressions} -The $\lfloor \mbox{ } \rfloor$ brackets imply an expression truncated to an integer not greater than the expression +The $\lfloor \mbox{ } \rfloor$ brackets imply an expression truncated to an integer not greater than the expression itself. For example, $\lfloor 5.7 \rfloor = 5$. Similarly the $\lceil \mbox{ } \rceil$ brackets imply an expression -rounded to an integer not less than the expression itself. For example, $\lceil 5.1 \rceil = 6$. Typically when -the $/$ division symbol is used the intention is to perform an integer division with truncation. For example, -$5/2 = 2$ which will often be written as $\lfloor 5/2 \rfloor = 2$ for clarity. When an expression is written as a -fraction a real value division is implied, for example ${5 \over 2} = 2.5$. +rounded to an integer not less than the expression itself. For example, $\lceil 5.1 \rceil = 6$. Typically when +the $/$ division symbol is used the intention is to perform an integer division with truncation. For example, +$5/2 = 2$ which will often be written as $\lfloor 5/2 \rfloor = 2$ for clarity. When an expression is written as a +fraction a real value division is implied, for example ${5 \over 2} = 2.5$. The norm of a multiple precision integer, for example $\vert \vert x \vert \vert$, will be used to represent the number of digits in the representation -of the integer. For example, $\vert \vert 123 \vert \vert = 3$ and $\vert \vert 79452 \vert \vert = 5$. +of the integer. For example, $\vert \vert 123 \vert \vert = 3$ and $\vert \vert 79452 \vert \vert = 5$. \subsection{Work Effort} \index{big-Oh} -To measure the efficiency of the specified algorithms, a modified big-Oh notation is used. In this system all -single precision operations are considered to have the same cost\footnote{Except where explicitly noted.}. -That is a single precision addition, multiplication and division are assumed to take the same time to +To measure the efficiency of the specified algorithms, a modified big-Oh notation is used. In this system all +single precision operations are considered to have the same cost\footnote{Except where explicitly noted.}. +That is a single precision addition, multiplication and division are assumed to take the same time to complete. While this is generally not true in practice, it will simplify the discussions considerably. -Some algorithms have slight advantages over others which is why some constants will not be removed in -the notation. For example, a normal baseline multiplication (section \ref{sec:basemult}) requires $O(n^2)$ work while a -baseline squaring (section \ref{sec:basesquare}) requires $O({{n^2 + n}\over 2})$ work. In standard big-Oh notation these -would both be said to be equivalent to $O(n^2)$. However, -in the context of the this text this is not the case as the magnitude of the inputs will typically be rather small. As a +Some algorithms have slight advantages over others which is why some constants will not be removed in +the notation. For example, a normal baseline multiplication (section \ref{sec:basemult}) requires $O(n^2)$ work while a +baseline squaring (section \ref{sec:basesquare}) requires $O({{n^2 + n}\over 2})$ work. In standard big-Oh notation these +would both be said to be equivalent to $O(n^2)$. However, +in the context of the this text this is not the case as the magnitude of the inputs will typically be rather small. As a result small constant factors in the work effort will make an observable difference in algorithm efficiency. -All of the algorithms presented in this text have a polynomial time work level. That is, of the form -$O(n^k)$ for $n, k \in \Z^{+}$. This will help make useful comparisons in terms of the speed of the algorithms and how +All of the algorithms presented in this text have a polynomial time work level. That is, of the form +$O(n^k)$ for $n, k \in \Z^{+}$. This will help make useful comparisons in terms of the speed of the algorithms and how various optimizations will help pay off in the long run. \section{Exercises} Within the more advanced chapters a section will be set aside to give the reader some challenging exercises related to -the discussion at hand. These exercises are not designed to be prize winning problems, but instead to be thought -provoking. Wherever possible the problems are forward minded, stating problems that will be answered in subsequent -chapters. The reader is encouraged to finish the exercises as they appear to get a better understanding of the -subject material. +the discussion at hand. These exercises are not designed to be prize winning problems, but instead to be thought +provoking. Wherever possible the problems are forward minded, stating problems that will be answered in subsequent +chapters. The reader is encouraged to finish the exercises as they appear to get a better understanding of the +subject material. That being said, the problems are designed to affirm knowledge of a particular subject matter. Students in particular are encouraged to verify they can answer the problems correctly before moving on. Similar to the exercises of \cite[pp. ix]{TAOCPV2} these exercises are given a scoring system based on the difficulty of -the problem. However, unlike \cite{TAOCPV2} the problems do not get nearly as hard. The scoring of these -exercises ranges from one (the easiest) to five (the hardest). The following table sumarizes the +the problem. However, unlike \cite{TAOCPV2} the problems do not get nearly as hard. The scoring of these +exercises ranges from one (the easiest) to five (the hardest). The following table sumarizes the scoring system used. \begin{figure}[here] @@ -404,21 +393,21 @@ scoring system used. \end{figure} Problems at the first level are meant to be simple questions that the reader can answer quickly without programming a solution or -devising new theory. These problems are quick tests to see if the material is understood. Problems at the second level +devising new theory. These problems are quick tests to see if the material is understood. Problems at the second level are also designed to be easy but will require a program or algorithm to be implemented to arrive at the answer. These -two levels are essentially entry level questions. +two levels are essentially entry level questions. -Problems at the third level are meant to be a bit more difficult than the first two levels. The answer is often -fairly obvious but arriving at an exacting solution requires some thought and skill. These problems will almost always +Problems at the third level are meant to be a bit more difficult than the first two levels. The answer is often +fairly obvious but arriving at an exacting solution requires some thought and skill. These problems will almost always involve devising a new algorithm or implementing a variation of another algorithm previously presented. Readers who can answer these questions will feel comfortable with the concepts behind the topic at hand. -Problems at the fourth level are meant to be similar to those of the level three questions except they will require -additional research to be completed. The reader will most likely not know the answer right away, nor will the text provide -the exact details of the answer until a subsequent chapter. +Problems at the fourth level are meant to be similar to those of the level three questions except they will require +additional research to be completed. The reader will most likely not know the answer right away, nor will the text provide +the exact details of the answer until a subsequent chapter. -Problems at the fifth level are meant to be the hardest -problems relative to all the other problems in the chapter. People who can correctly answer fifth level problems have a +Problems at the fifth level are meant to be the hardest +problems relative to all the other problems in the chapter. People who can correctly answer fifth level problems have a mastery of the subject matter at hand. Often problems will be tied together. The purpose of this is to start a chain of thought that will be discussed in future chapters. The reader @@ -427,43 +416,43 @@ is encouraged to answer the follow-up problems and try to draw the relevance of \section{Introduction to LibTomMath} \subsection{What is LibTomMath?} -LibTomMath is a free and open source multiple precision integer library written entirely in portable ISO C. By portable it -is meant that the library does not contain any code that is computer platform dependent or otherwise problematic to use on -any given platform. +LibTomMath is a free and open source multiple precision integer library written entirely in portable ISO C. By portable it +is meant that the library does not contain any code that is computer platform dependent or otherwise problematic to use on +any given platform. The library has been successfully tested under numerous operating systems including Unix\footnote{All of these -trademarks belong to their respective rightful owners.}, MacOS, Windows, Linux, PalmOS and on standalone hardware such -as the Gameboy Advance. The library is designed to contain enough functionality to be able to develop applications such +trademarks belong to their respective rightful owners.}, MacOS, Windows, Linux, PalmOS and on standalone hardware such +as the Gameboy Advance. The library is designed to contain enough functionality to be able to develop applications such as public key cryptosystems and still maintain a relatively small footprint. \subsection{Goals of LibTomMath} -Libraries which obtain the most efficiency are rarely written in a high level programming language such as C. However, -even though this library is written entirely in ISO C, considerable care has been taken to optimize the algorithm implementations within the -library. Specifically the code has been written to work well with the GNU C Compiler (\textit{GCC}) on both x86 and ARM -processors. Wherever possible, highly efficient algorithms, such as Karatsuba multiplication, sliding window -exponentiation and Montgomery reduction have been provided to make the library more efficient. +Libraries which obtain the most efficiency are rarely written in a high level programming language such as C. However, +even though this library is written entirely in ISO C, considerable care has been taken to optimize the algorithm implementations within the +library. Specifically the code has been written to work well with the GNU C Compiler (\textit{GCC}) on both x86 and ARM +processors. Wherever possible, highly efficient algorithms, such as Karatsuba multiplication, sliding window +exponentiation and Montgomery reduction have been provided to make the library more efficient. -Even with the nearly optimal and specialized algorithms that have been included the Application Programing Interface -(\textit{API}) has been kept as simple as possible. Often generic place holder routines will make use of specialized -algorithms automatically without the developer's specific attention. One such example is the generic multiplication -algorithm \textbf{mp\_mul()} which will automatically use Toom--Cook, Karatsuba, Comba or baseline multiplication -based on the magnitude of the inputs and the configuration of the library. +Even with the nearly optimal and specialized algorithms that have been included the Application Programing Interface +(\textit{API}) has been kept as simple as possible. Often generic place holder routines will make use of specialized +algorithms automatically without the developer's specific attention. One such example is the generic multiplication +algorithm \textbf{mp\_mul()} which will automatically use Toom--Cook, Karatsuba, Comba or baseline multiplication +based on the magnitude of the inputs and the configuration of the library. -Making LibTomMath as efficient as possible is not the only goal of the LibTomMath project. Ideally the library should +Making LibTomMath as efficient as possible is not the only goal of the LibTomMath project. Ideally the library should be source compatible with another popular library which makes it more attractive for developers to use. In this case the -MPI library was used as a API template for all the basic functions. MPI was chosen because it is another library that fits -in the same niche as LibTomMath. Even though LibTomMath uses MPI as the template for the function names and argument +MPI library was used as a API template for all the basic functions. MPI was chosen because it is another library that fits +in the same niche as LibTomMath. Even though LibTomMath uses MPI as the template for the function names and argument passing conventions, it has been written from scratch by Tom St Denis. -The project is also meant to act as a learning tool for students, the logic being that no easy-to-follow ``bignum'' -library exists which can be used to teach computer science students how to perform fast and reliable multiple precision -integer arithmetic. To this end the source code has been given quite a few comments and algorithm discussion points. +The project is also meant to act as a learning tool for students, the logic being that no easy-to-follow ``bignum'' +library exists which can be used to teach computer science students how to perform fast and reliable multiple precision +integer arithmetic. To this end the source code has been given quite a few comments and algorithm discussion points. \section{Choice of LibTomMath} LibTomMath was chosen as the case study of this text not only because the author of both projects is one and the same but -for more worthy reasons. Other libraries such as GMP \cite{GMP}, MPI \cite{MPI}, LIP \cite{LIP} and OpenSSL -\cite{OPENSSL} have multiple precision integer arithmetic routines but would not be ideal for this text for +for more worthy reasons. Other libraries such as GMP \cite{GMP}, MPI \cite{MPI}, LIP \cite{LIP} and OpenSSL +\cite{OPENSSL} have multiple precision integer arithmetic routines but would not be ideal for this text for reasons that will be explained in the following sub-sections. \subsection{Code Base} @@ -472,115 +461,115 @@ segments of code littered throughout the source. This clean and uncluttered app developer can more readily discern the true intent of a given section of source code without trying to keep track of what conditional code will be used. -The code base of LibTomMath is well organized. Each function is in its own separate source code file +The code base of LibTomMath is well organized. Each function is in its own separate source code file which allows the reader to find a given function very quickly. On average there are $76$ lines of code per source file which makes the source very easily to follow. By comparison MPI and LIP are single file projects making code tracing -very hard. GMP has many conditional code segments which also hinder tracing. +very hard. GMP has many conditional code segments which also hinder tracing. When compiled with GCC for the x86 processor and optimized for speed the entire library is approximately $100$KiB\footnote{The notation ``KiB'' means $2^{10}$ octets, similarly ``MiB'' means $2^{20}$ octets.} - which is fairly small compared to GMP (over $250$KiB). LibTomMath is slightly larger than MPI (which compiles to about + which is fairly small compared to GMP (over $250$KiB). LibTomMath is slightly larger than MPI (which compiles to about $50$KiB) but LibTomMath is also much faster and more complete than MPI. \subsection{API Simplicity} -LibTomMath is designed after the MPI library and shares the API design. Quite often programs that use MPI will build -with LibTomMath without change. The function names correlate directly to the action they perform. Almost all of the -functions share the same parameter passing convention. The learning curve is fairly shallow with the API provided -which is an extremely valuable benefit for the student and developer alike. +LibTomMath is designed after the MPI library and shares the API design. Quite often programs that use MPI will build +with LibTomMath without change. The function names correlate directly to the action they perform. Almost all of the +functions share the same parameter passing convention. The learning curve is fairly shallow with the API provided +which is an extremely valuable benefit for the student and developer alike. -The LIP library is an example of a library with an API that is awkward to work with. LIP uses function names that are often ``compressed'' to -illegible short hand. LibTomMath does not share this characteristic. +The LIP library is an example of a library with an API that is awkward to work with. LIP uses function names that are often ``compressed'' to +illegible short hand. LibTomMath does not share this characteristic. The GMP library also does not return error codes. Instead it uses a POSIX.1 \cite{POSIX1} signal system where errors are signaled to the host application. This happens to be the fastest approach but definitely not the most versatile. In -effect a math error (i.e. invalid input, heap error, etc) can cause a program to stop functioning which is definitely +effect a math error (i.e. invalid input, heap error, etc) can cause a program to stop functioning which is definitely undersireable in many situations. \subsection{Optimizations} While LibTomMath is certainly not the fastest library (GMP often beats LibTomMath by a factor of two) it does -feature a set of optimal algorithms for tasks such as modular reduction, exponentiation, multiplication and squaring. GMP +feature a set of optimal algorithms for tasks such as modular reduction, exponentiation, multiplication and squaring. GMP and LIP also feature such optimizations while MPI only uses baseline algorithms with no optimizations. GMP lacks a few of the additional modular reduction optimizations that LibTomMath features\footnote{At the time of this writing GMP -only had Barrett and Montgomery modular reduction algorithms.}. +only had Barrett and Montgomery modular reduction algorithms.}. LibTomMath is almost always an order of magnitude faster than the MPI library at computationally expensive tasks such as modular -exponentiation. In the grand scheme of ``bignum'' libraries LibTomMath is faster than the average library and usually +exponentiation. In the grand scheme of ``bignum'' libraries LibTomMath is faster than the average library and usually slower than the best libraries such as GMP and OpenSSL by only a small factor. \subsection{Portability and Stability} -LibTomMath will build ``out of the box'' on any platform equipped with a modern version of the GNU C Compiler -(\textit{GCC}). This means that without changes the library will build without configuration or setting up any -variables. LIP and MPI will build ``out of the box'' as well but have numerous known bugs. Most notably the author of -MPI has recently stopped working on his library and LIP has long since been discontinued. +LibTomMath will build ``out of the box'' on any platform equipped with a modern version of the GNU C Compiler +(\textit{GCC}). This means that without changes the library will build without configuration or setting up any +variables. LIP and MPI will build ``out of the box'' as well but have numerous known bugs. Most notably the author of +MPI has recently stopped working on his library and LIP has long since been discontinued. GMP requires a configuration script to run and will not build out of the box. GMP and LibTomMath are still in active development and are very stable across a variety of platforms. \subsection{Choice} LibTomMath is a relatively compact, well documented, highly optimized and portable library which seems only natural for -the case study of this text. Various source files from the LibTomMath project will be included within the text. However, -the reader is encouraged to download their own copy of the library to actually be able to work with the library. +the case study of this text. Various source files from the LibTomMath project will be included within the text. However, +the reader is encouraged to download their own copy of the library to actually be able to work with the library. \chapter{Getting Started} \section{Library Basics} -The trick to writing any useful library of source code is to build a solid foundation and work outwards from it. First, -a problem along with allowable solution parameters should be identified and analyzed. In this particular case the +The trick to writing any useful library of source code is to build a solid foundation and work outwards from it. First, +a problem along with allowable solution parameters should be identified and analyzed. In this particular case the inability to accomodate multiple precision integers is the problem. Futhermore, the solution must be written as portable source code that is reasonably efficient across several different computer platforms. -After a foundation is formed the remainder of the library can be designed and implemented in a hierarchical fashion. -That is, to implement the lowest level dependencies first and work towards the most abstract functions last. For example, +After a foundation is formed the remainder of the library can be designed and implemented in a hierarchical fashion. +That is, to implement the lowest level dependencies first and work towards the most abstract functions last. For example, before implementing a modular exponentiation algorithm one would implement a modular reduction algorithm. -By building outwards from a base foundation instead of using a parallel design methodology the resulting project is +By building outwards from a base foundation instead of using a parallel design methodology the resulting project is highly modular. Being highly modular is a desirable property of any project as it often means the resulting product -has a small footprint and updates are easy to perform. +has a small footprint and updates are easy to perform. -Usually when I start a project I will begin with the header files. I define the data types I think I will need and -prototype the initial functions that are not dependent on other functions (within the library). After I +Usually when I start a project I will begin with the header files. I define the data types I think I will need and +prototype the initial functions that are not dependent on other functions (within the library). After I implement these base functions I prototype more dependent functions and implement them. The process repeats until -I implement all of the functions I require. For example, in the case of LibTomMath I implemented functions such as -mp\_init() well before I implemented mp\_mul() and even further before I implemented mp\_exptmod(). As an example as to -why this design works note that the Karatsuba and Toom-Cook multipliers were written \textit{after} the -dependent function mp\_exptmod() was written. Adding the new multiplication algorithms did not require changes to the -mp\_exptmod() function itself and lowered the total cost of ownership (\textit{so to speak}) and of development +I implement all of the functions I require. For example, in the case of LibTomMath I implemented functions such as +mp\_init() well before I implemented mp\_mul() and even further before I implemented mp\_exptmod(). As an example as to +why this design works note that the Karatsuba and Toom-Cook multipliers were written \textit{after} the +dependent function mp\_exptmod() was written. Adding the new multiplication algorithms did not require changes to the +mp\_exptmod() function itself and lowered the total cost of ownership (\textit{so to speak}) and of development for new algorithms. This methodology allows new algorithms to be tested in a complete framework with relative ease. FIGU,design_process,Design Flow of the First Few Original LibTomMath Functions. Only after the majority of the functions were in place did I pursue a less hierarchical approach to auditing and optimizing -the source code. For example, one day I may audit the multipliers and the next day the polynomial basis functions. +the source code. For example, one day I may audit the multipliers and the next day the polynomial basis functions. -It only makes sense to begin the text with the preliminary data types and support algorithms required as well. +It only makes sense to begin the text with the preliminary data types and support algorithms required as well. This chapter discusses the core algorithms of the library which are the dependents for every other algorithm. \section{What is a Multiple Precision Integer?} -Recall that most programming languages, in particular ISO C \cite{ISOC}, only have fixed precision data types that on their own cannot -be used to represent values larger than their precision will allow. The purpose of multiple precision algorithms is -to use fixed precision data types to create and manipulate multiple precision integers which may represent values -that are very large. +Recall that most programming languages, in particular ISO C \cite{ISOC}, only have fixed precision data types that on their own cannot +be used to represent values larger than their precision will allow. The purpose of multiple precision algorithms is +to use fixed precision data types to create and manipulate multiple precision integers which may represent values +that are very large. As a well known analogy, school children are taught how to form numbers larger than nine by prepending more radix ten digits. In the decimal system -the largest single digit value is $9$. However, by concatenating digits together larger numbers may be represented. Newly prepended digits -(\textit{to the left}) are said to be in a different power of ten column. That is, the number $123$ can be described as having a $1$ in the hundreds -column, $2$ in the tens column and $3$ in the ones column. Or more formally $123 = 1 \cdot 10^2 + 2 \cdot 10^1 + 3 \cdot 10^0$. Computer based -multiple precision arithmetic is essentially the same concept. Larger integers are represented by adjoining fixed +the largest single digit value is $9$. However, by concatenating digits together larger numbers may be represented. Newly prepended digits +(\textit{to the left}) are said to be in a different power of ten column. That is, the number $123$ can be described as having a $1$ in the hundreds +column, $2$ in the tens column and $3$ in the ones column. Or more formally $123 = 1 \cdot 10^2 + 2 \cdot 10^1 + 3 \cdot 10^0$. Computer based +multiple precision arithmetic is essentially the same concept. Larger integers are represented by adjoining fixed precision computer words with the exception that a different radix is used. -What most people probably do not think about explicitly are the various other attributes that describe a multiple precision -integer. For example, the integer $154_{10}$ has two immediately obvious properties. First, the integer is positive, -that is the sign of this particular integer is positive as opposed to negative. Second, the integer has three digits in -its representation. There is an additional property that the integer posesses that does not concern pencil-and-paper -arithmetic. The third property is how many digits placeholders are available to hold the integer. +What most people probably do not think about explicitly are the various other attributes that describe a multiple precision +integer. For example, the integer $154_{10}$ has two immediately obvious properties. First, the integer is positive, +that is the sign of this particular integer is positive as opposed to negative. Second, the integer has three digits in +its representation. There is an additional property that the integer posesses that does not concern pencil-and-paper +arithmetic. The third property is how many digits placeholders are available to hold the integer. The human analogy of this third property is ensuring there is enough space on the paper to write the integer. For example, -if one starts writing a large number too far to the right on a piece of paper they will have to erase it and move left. +if one starts writing a large number too far to the right on a piece of paper they will have to erase it and move left. Similarly, computer algorithms must maintain strict control over memory usage to ensure that the digits of an integer -will not exceed the allowed boundaries. These three properties make up what is known as a multiple precision -integer or mp\_int for short. +will not exceed the allowed boundaries. These three properties make up what is known as a multiple precision +integer or mp\_int for short. \subsection{The mp\_int Structure} \label{sec:MPINT} -The mp\_int structure is the ISO C based manifestation of what represents a multiple precision integer. The ISO C standard does not provide for -any such data type but it does provide for making composite data types known as structures. The following is the structure definition +The mp\_int structure is the ISO C based manifestation of what represents a multiple precision integer. The ISO C standard does not provide for +any such data type but it does provide for making composite data types known as structures. The following is the structure definition used within LibTomMath. \index{mp\_int} @@ -607,46 +596,46 @@ The mp\_int structure (fig. \ref{fig:mpint}) can be broken down as follows. \begin{enumerate} \item The \textbf{used} parameter denotes how many digits of the array \textbf{dp} contain the digits used to represent -a given integer. The \textbf{used} count must be positive (or zero) and may not exceed the \textbf{alloc} count. +a given integer. The \textbf{used} count must be positive (or zero) and may not exceed the \textbf{alloc} count. -\item The \textbf{alloc} parameter denotes how -many digits are available in the array to use by functions before it has to increase in size. When the \textbf{used} count -of a result would exceed the \textbf{alloc} count all of the algorithms will automatically increase the size of the -array to accommodate the precision of the result. +\item The \textbf{alloc} parameter denotes how +many digits are available in the array to use by functions before it has to increase in size. When the \textbf{used} count +of a result would exceed the \textbf{alloc} count all of the algorithms will automatically increase the size of the +array to accommodate the precision of the result. -\item The pointer \textbf{dp} points to a dynamically allocated array of digits that represent the given multiple -precision integer. It is padded with $(\textbf{alloc} - \textbf{used})$ zero digits. The array is maintained in a least +\item The pointer \textbf{dp} points to a dynamically allocated array of digits that represent the given multiple +precision integer. It is padded with $(\textbf{alloc} - \textbf{used})$ zero digits. The array is maintained in a least significant digit order. As a pencil and paper analogy the array is organized such that the right most digits are stored -first starting at the location indexed by zero\footnote{In C all arrays begin at zero.} in the array. For example, -if \textbf{dp} contains $\lbrace a, b, c, \ldots \rbrace$ where \textbf{dp}$_0 = a$, \textbf{dp}$_1 = b$, \textbf{dp}$_2 = c$, $\ldots$ then -it would represent the integer $a + b\beta + c\beta^2 + \ldots$ +first starting at the location indexed by zero\footnote{In C all arrays begin at zero.} in the array. For example, +if \textbf{dp} contains $\lbrace a, b, c, \ldots \rbrace$ where \textbf{dp}$_0 = a$, \textbf{dp}$_1 = b$, \textbf{dp}$_2 = c$, $\ldots$ then +it would represent the integer $a + b\beta + c\beta^2 + \ldots$ \index{MP\_ZPOS} \index{MP\_NEG} -\item The \textbf{sign} parameter denotes the sign as either zero/positive (\textbf{MP\_ZPOS}) or negative (\textbf{MP\_NEG}). +\item The \textbf{sign} parameter denotes the sign as either zero/positive (\textbf{MP\_ZPOS}) or negative (\textbf{MP\_NEG}). \end{enumerate} \subsubsection{Valid mp\_int Structures} -Several rules are placed on the state of an mp\_int structure and are assumed to be followed for reasons of efficiency. +Several rules are placed on the state of an mp\_int structure and are assumed to be followed for reasons of efficiency. The only exceptions are when the structure is passed to initialization functions such as mp\_init() and mp\_init\_copy(). \begin{enumerate} \item The value of \textbf{alloc} may not be less than one. That is \textbf{dp} always points to a previously allocated array of digits. \item The value of \textbf{used} may not exceed \textbf{alloc} and must be greater than or equal to zero. -\item The value of \textbf{used} implies the digit at index $(used - 1)$ of the \textbf{dp} array is non-zero. That is, +\item The value of \textbf{used} implies the digit at index $(used - 1)$ of the \textbf{dp} array is non-zero. That is, leading zero digits in the most significant positions must be trimmed. \begin{enumerate} \item Digits in the \textbf{dp} array at and above the \textbf{used} location must be zero. \end{enumerate} -\item The value of \textbf{sign} must be \textbf{MP\_ZPOS} if \textbf{used} is zero; +\item The value of \textbf{sign} must be \textbf{MP\_ZPOS} if \textbf{used} is zero; this represents the mp\_int value of zero. \end{enumerate} \section{Argument Passing} -A convention of argument passing must be adopted early on in the development of any library. Making the function -prototypes consistent will help eliminate many headaches in the future as the library grows to significant complexity. -In LibTomMath the multiple precision integer functions accept parameters from left to right as pointers to mp\_int -structures. That means that the source (input) operands are placed on the left and the destination (output) on the right. +A convention of argument passing must be adopted early on in the development of any library. Making the function +prototypes consistent will help eliminate many headaches in the future as the library grows to significant complexity. +In LibTomMath the multiple precision integer functions accept parameters from left to right as pointers to mp\_int +structures. That means that the source (input) operands are placed on the left and the destination (output) on the right. Consider the following examples. \begin{verbatim} @@ -659,25 +648,25 @@ The left to right order is a fairly natural way to implement the functions since functions and make sense of them. For example, the first function would read ``multiply a and b and store in c''. Certain libraries (\textit{LIP by Lenstra for instance}) accept parameters the other way around, to mimic the order -of assignment expressions. That is, the destination (output) is on the left and arguments (inputs) are on the right. In -truth, it is entirely a matter of preference. In the case of LibTomMath the convention from the MPI library has been -adopted. - -Another very useful design consideration, provided for in LibTomMath, is whether to allow argument sources to also be a -destination. For example, the second example (\textit{mp\_add}) adds $a$ to $b$ and stores in $a$. This is an important -feature to implement since it allows the calling functions to cut down on the number of variables it must maintain. -However, to implement this feature specific care has to be given to ensure the destination is not modified before the +of assignment expressions. That is, the destination (output) is on the left and arguments (inputs) are on the right. In +truth, it is entirely a matter of preference. In the case of LibTomMath the convention from the MPI library has been +adopted. + +Another very useful design consideration, provided for in LibTomMath, is whether to allow argument sources to also be a +destination. For example, the second example (\textit{mp\_add}) adds $a$ to $b$ and stores in $a$. This is an important +feature to implement since it allows the calling functions to cut down on the number of variables it must maintain. +However, to implement this feature specific care has to be given to ensure the destination is not modified before the source is fully read. \section{Return Values} -A well implemented application, no matter what its purpose, should trap as many runtime errors as possible and return them -to the caller. By catching runtime errors a library can be guaranteed to prevent undefined behaviour. However, the end +A well implemented application, no matter what its purpose, should trap as many runtime errors as possible and return them +to the caller. By catching runtime errors a library can be guaranteed to prevent undefined behaviour. However, the end developer can still manage to cause a library to crash. For example, by passing an invalid pointer an application may fault by dereferencing memory not owned by the application. -In the case of LibTomMath the only errors that are checked for are related to inappropriate inputs (division by zero for -instance) and memory allocation errors. It will not check that the mp\_int passed to any function is valid nor -will it check pointers for validity. Any function that can cause a runtime error will return an error code as an +In the case of LibTomMath the only errors that are checked for are related to inappropriate inputs (division by zero for +instance) and memory allocation errors. It will not check that the mp\_int passed to any function is valid nor +will it check pointers for validity. Any function that can cause a runtime error will return an error code as an \textbf{int} data type with one of the following values (fig \ref{fig:errcodes}). \index{MP\_OKAY} \index{MP\_VAL} \index{MP\_MEM} @@ -696,7 +685,7 @@ will it check pointers for validity. Any function that can cause a runtime erro \end{figure} When an error is detected within a function it should free any memory it allocated, often during the initialization of -temporary mp\_ints, and return as soon as possible. The goal is to leave the system in the same state it was when the +temporary mp\_ints, and return as soon as possible. The goal is to leave the system in the same state it was when the function was called. Error checking with this style of API is fairly simple. \begin{verbatim} @@ -707,19 +696,19 @@ function was called. Error checking with this style of API is fairly simple. } \end{verbatim} -The GMP \cite{GMP} library uses C style \textit{signals} to flag errors which is of questionable use. Not all errors are fatal +The GMP \cite{GMP} library uses C style \textit{signals} to flag errors which is of questionable use. Not all errors are fatal and it was not deemed ideal by the author of LibTomMath to force developers to have signal handlers for such cases. \section{Initialization and Clearing} -The logical starting point when actually writing multiple precision integer functions is the initialization and +The logical starting point when actually writing multiple precision integer functions is the initialization and clearing of the mp\_int structures. These two algorithms will be used by the majority of the higher level algorithms. Given the basic mp\_int structure an initialization routine must first allocate memory to hold the digits of the integer. Often it is optimal to allocate a sufficiently large pre-set number of digits even though the initial integer will represent zero. If only a single digit were allocated quite a few subsequent re-allocations would occur when operations are performed on the integers. There is a tradeoff between how many default digits to allocate -and how many re-allocations are tolerable. Obviously allocating an excessive amount of digits initially will waste -memory and become unmanageable. +and how many re-allocations are tolerable. Obviously allocating an excessive amount of digits initially will waste +memory and become unmanageable. If the memory for the digits has been successfully allocated then the rest of the members of the structure must be initialized. Since the initial state of an mp\_int is to represent the zero integer, the allocated digits must be set @@ -754,16 +743,16 @@ structure are set to valid values. The mp\_init algorithm will perform such an \textbf{Algorithm mp\_init.} The purpose of this function is to initialize an mp\_int structure so that the rest of the library can properly manipulte it. It is assumed that the input may not have had any of its members previously initialized which is certainly -a valid assumption if the input resides on the stack. +a valid assumption if the input resides on the stack. Before any of the members such as \textbf{sign}, \textbf{used} or \textbf{alloc} are initialized the memory for -the digits is allocated. If this fails the function returns before setting any of the other members. The \textbf{MP\_PREC} -name represents a constant\footnote{Defined in the ``tommath.h'' header file within LibTomMath.} +the digits is allocated. If this fails the function returns before setting any of the other members. The \textbf{MP\_PREC} +name represents a constant\footnote{Defined in the ``tommath.h'' header file within LibTomMath.} used to dictate the minimum precision of newly initialized mp\_int integers. Ideally, it is at least equal to the smallest precision number you'll be working with. Allocating a block of digits at first instead of a single digit has the benefit of lowering the number of usually slow -heap operations later functions will have to perform in the future. If \textbf{MP\_PREC} is set correctly the slack +heap operations later functions will have to perform in the future. If \textbf{MP\_PREC} is set correctly the slack memory and the number of heap operations will be trivial. Once the allocation has been made the digits have to be set to zero as well as the \textbf{used}, \textbf{sign} and @@ -775,14 +764,14 @@ This function introduces the idiosyncrasy that all iterative loops, commonly ini when the ``to'' keyword is placed between two expressions. For example, ``for $a$ from $b$ to $c$ do'' means that a subsequent expression (or body of expressions) are to be evaluated upto $c - b$ times so long as $b \le c$. In each iteration the variable $a$ is substituted for a new integer that lies inclusively between $b$ and $c$. If $b > c$ occured -the loop would not iterate. By contrast if the ``downto'' keyword were used in place of ``to'' the loop would iterate +the loop would not iterate. By contrast if the ``downto'' keyword were used in place of ``to'' the loop would iterate decrementally. EXAM,bn_mp_init.c -One immediate observation of this initializtion function is that it does not return a pointer to a mp\_int structure. It -is assumed that the caller has already allocated memory for the mp\_int structure, typically on the application stack. The -call to mp\_init() is used only to initialize the members of the structure to a known default state. +One immediate observation of this initializtion function is that it does not return a pointer to a mp\_int structure. It +is assumed that the caller has already allocated memory for the mp\_int structure, typically on the application stack. The +call to mp\_init() is used only to initialize the members of the structure to a known default state. Here we see (line @23,XMALLOC@) the memory allocation is performed first. This allows us to exit cleanly and quickly if there is an error. If the allocation fails the routine will return \textbf{MP\_MEM} to the caller to indicate there @@ -791,17 +780,17 @@ but a macro defined in ``tommath.h``. By default, XMALLOC will evaluate to mall memory allocation routine. In order to assure the mp\_int is in a known state the digits must be set to zero. On most platforms this could have been -accomplished by using calloc() instead of malloc(). However, to correctly initialize a integer type to a given value in a +accomplished by using calloc() instead of malloc(). However, to correctly initialize a integer type to a given value in a portable fashion you have to actually assign the value. The for loop (line @28,for@) performs this required operation. -After the memory has been successfully initialized the remainder of the members are initialized +After the memory has been successfully initialized the remainder of the members are initialized (lines @29,used@ through @31,sign@) to their respective default states. At this point the algorithm has succeeded and -a success code is returned to the calling function. If this function returns \textbf{MP\_OKAY} it is safe to assume the -mp\_int structure has been properly initialized and is safe to use with other functions within the library. +a success code is returned to the calling function. If this function returns \textbf{MP\_OKAY} it is safe to assume the +mp\_int structure has been properly initialized and is safe to use with other functions within the library. \subsection{Clearing an mp\_int} -When an mp\_int is no longer required by the application, the memory that has been allocated for its digits must be +When an mp\_int is no longer required by the application, the memory that has been allocated for its digits must be returned to the application's memory pool with the mp\_clear algorithm. \begin{figure}[here] @@ -826,12 +815,12 @@ returned to the application's memory pool with the mp\_clear algorithm. \end{figure} \textbf{Algorithm mp\_clear.} -This algorithm accomplishes two goals. First, it clears the digits and the other mp\_int members. This ensures that +This algorithm accomplishes two goals. First, it clears the digits and the other mp\_int members. This ensures that if a developer accidentally re-uses a cleared structure it is less likely to cause problems. The second goal is to free the allocated memory. The logic behind the algorithm is extended by marking cleared mp\_int structures so that subsequent calls to this -algorithm will not try to free the memory multiple times. Cleared mp\_ints are detectable by having a pre-defined invalid +algorithm will not try to free the memory multiple times. Cleared mp\_ints are detectable by having a pre-defined invalid digit pointer \textbf{dp} setting. Once an mp\_int has been cleared the mp\_int structure is no longer in a valid state for any other algorithm @@ -844,11 +833,11 @@ checks to see if the \textbf{dp} member is not \textbf{NULL}. If the mp\_int is \textbf{NULL} in which case the if statement will evaluate to true. The digits of the mp\_int are cleared by the for loop (line @25,for@) which assigns a zero to every digit. Similar to mp\_init() -the digits are assigned zero instead of using block memory operations (such as memset()) since this is more portable. +the digits are assigned zero instead of using block memory operations (such as memset()) since this is more portable. The digits are deallocated off the heap via the XFREE macro. Similar to XMALLOC the XFREE macro actually evaluates to a standard C library function. In this case the free() function. Since free() only deallocates the memory the pointer -still has to be reset to \textbf{NULL} manually (line @33,NULL@). +still has to be reset to \textbf{NULL} manually (line @33,NULL@). Now that the digits have been cleared and deallocated the other members are set to their final values (lines @34,= 0@ and @35,ZPOS@). @@ -856,16 +845,16 @@ Now that the digits have been cleared and deallocated the other members are set The previous sections describes how to initialize and clear an mp\_int structure. To further support operations that are to be performed on mp\_int structures (such as addition and multiplication) the dependent algorithms must be -able to augment the precision of an mp\_int and -initialize mp\_ints with differing initial conditions. +able to augment the precision of an mp\_int and +initialize mp\_ints with differing initial conditions. These algorithms complete the set of low level algorithms required to work with mp\_int structures in the higher level algorithms such as addition, multiplication and modular exponentiation. \subsection{Augmenting an mp\_int's Precision} -When storing a value in an mp\_int structure, a sufficient number of digits must be available to accomodate the entire -result of an operation without loss of precision. Quite often the size of the array given by the \textbf{alloc} member -is large enough to simply increase the \textbf{used} digit count. However, when the size of the array is too small it +When storing a value in an mp\_int structure, a sufficient number of digits must be available to accomodate the entire +result of an operation without loss of precision. Quite often the size of the array given by the \textbf{alloc} member +is large enough to simply increase the \textbf{used} digit count. However, when the size of the array is too small it must be re-sized appropriately to accomodate the result. The mp\_grow algorithm will provide this functionality. \newpage\begin{figure}[here] @@ -891,14 +880,14 @@ must be re-sized appropriately to accomodate the result. The mp\_grow algorithm \end{figure} \textbf{Algorithm mp\_grow.} -It is ideal to prevent re-allocations from being performed if they are not required (step one). This is useful to -prevent mp\_ints from growing excessively in code that erroneously calls mp\_grow. +It is ideal to prevent re-allocations from being performed if they are not required (step one). This is useful to +prevent mp\_ints from growing excessively in code that erroneously calls mp\_grow. -The requested digit count is padded up to next multiple of \textbf{MP\_PREC} plus an additional \textbf{MP\_PREC} (steps two and three). -This helps prevent many trivial reallocations that would grow an mp\_int by trivially small values. +The requested digit count is padded up to next multiple of \textbf{MP\_PREC} plus an additional \textbf{MP\_PREC} (steps two and three). +This helps prevent many trivial reallocations that would grow an mp\_int by trivially small values. -It is assumed that the reallocation (step four) leaves the lower $a.alloc$ digits of the mp\_int intact. This is much -akin to how the \textit{realloc} function from the standard C library works. Since the newly allocated digits are +It is assumed that the reallocation (step four) leaves the lower $a.alloc$ digits of the mp\_int intact. This is much +akin to how the \textit{realloc} function from the standard C library works. Since the newly allocated digits are assumed to contain undefined values they are initially set to zero. EXAM,bn_mp_grow.c @@ -915,12 +904,12 @@ the re-allocation. All that is left is to clear the newly allocated digits and Note that the re-allocation result is actually stored in a temporary pointer $tmp$. This is to allow this function to return an error with a valid pointer. Earlier releases of the library stored the result of XREALLOC into the mp\_int $a$. That would -result in a memory leak if XREALLOC ever failed. +result in a memory leak if XREALLOC ever failed. \subsection{Initializing Variable Precision mp\_ints} -Occasionally the number of digits required will be known in advance of an initialization, based on, for example, the size -of input mp\_ints to a given algorithm. The purpose of algorithm mp\_init\_size is similar to mp\_init except that it -will allocate \textit{at least} a specified number of digits. +Occasionally the number of digits required will be known in advance of an initialization, based on, for example, the size +of input mp\_ints to a given algorithm. The purpose of algorithm mp\_init\_size is similar to mp\_init except that it +will allocate \textit{at least} a specified number of digits. \begin{figure}[here] \begin{small} @@ -947,30 +936,30 @@ will allocate \textit{at least} a specified number of digits. \end{figure} \textbf{Algorithm mp\_init\_size.} -This algorithm will initialize an mp\_int structure $a$ like algorithm mp\_init with the exception that the number of -digits allocated can be controlled by the second input argument $b$. The input size is padded upwards so it is a -multiple of \textbf{MP\_PREC} plus an additional \textbf{MP\_PREC} digits. This padding is used to prevent trivial +This algorithm will initialize an mp\_int structure $a$ like algorithm mp\_init with the exception that the number of +digits allocated can be controlled by the second input argument $b$. The input size is padded upwards so it is a +multiple of \textbf{MP\_PREC} plus an additional \textbf{MP\_PREC} digits. This padding is used to prevent trivial allocations from becoming a bottleneck in the rest of the algorithms. -Like algorithm mp\_init, the mp\_int structure is initialized to a default state representing the integer zero. This +Like algorithm mp\_init, the mp\_int structure is initialized to a default state representing the integer zero. This particular algorithm is useful if it is known ahead of time the approximate size of the input. If the approximation is correct no further memory re-allocations are required to work with the mp\_int. EXAM,bn_mp_init_size.c -The number of digits $b$ requested is padded (line @22,MP_PREC@) by first augmenting it to the next multiple of -\textbf{MP\_PREC} and then adding \textbf{MP\_PREC} to the result. If the memory can be successfully allocated the -mp\_int is placed in a default state representing the integer zero. Otherwise, the error code \textbf{MP\_MEM} will be -returned (line @27,return@). +The number of digits $b$ requested is padded (line @22,MP_PREC@) by first augmenting it to the next multiple of +\textbf{MP\_PREC} and then adding \textbf{MP\_PREC} to the result. If the memory can be successfully allocated the +mp\_int is placed in a default state representing the integer zero. Otherwise, the error code \textbf{MP\_MEM} will be +returned (line @27,return@). -The digits are allocated and set to zero at the same time with the calloc() function (line @25,XCALLOC@). The -\textbf{used} count is set to zero, the \textbf{alloc} count set to the padded digit count and the \textbf{sign} flag set -to \textbf{MP\_ZPOS} to achieve a default valid mp\_int state (lines @29,used@, @30,alloc@ and @31,sign@). If the function -returns succesfully then it is correct to assume that the mp\_int structure is in a valid state for the remainder of the +The digits are allocated with the malloc() function (line @27,XMALLOC@) and set to zero afterwards (line @38,for@). The +\textbf{used} count is set to zero, the \textbf{alloc} count set to the padded digit count and the \textbf{sign} flag set +to \textbf{MP\_ZPOS} to achieve a default valid mp\_int state (lines @29,used@, @30,alloc@ and @31,sign@). If the function +returns succesfully then it is correct to assume that the mp\_int structure is in a valid state for the remainder of the functions to work with. \subsection{Multiple Integer Initializations and Clearings} -Occasionally a function will require a series of mp\_int data types to be made available simultaneously. +Occasionally a function will require a series of mp\_int data types to be made available simultaneously. The purpose of algorithm mp\_init\_multi is to initialize a variable length array of mp\_int structures in a single statement. It is essentially a shortcut to multiple initializations. @@ -995,42 +984,42 @@ statement. It is essentially a shortcut to multiple initializations. \end{figure} \textbf{Algorithm mp\_init\_multi.} -The algorithm will initialize the array of mp\_int variables one at a time. If a runtime error has been detected -(\textit{step 1.2}) all of the previously initialized variables are cleared. The goal is an ``all or nothing'' +The algorithm will initialize the array of mp\_int variables one at a time. If a runtime error has been detected +(\textit{step 1.2}) all of the previously initialized variables are cleared. The goal is an ``all or nothing'' initialization which allows for quick recovery from runtime errors. EXAM,bn_mp_init_multi.c This function intializes a variable length list of mp\_int structure pointers. However, instead of having the mp\_int -structures in an actual C array they are simply passed as arguments to the function. This function makes use of the -``...'' argument syntax of the C programming language. The list is terminated with a final \textbf{NULL} argument -appended on the right. +structures in an actual C array they are simply passed as arguments to the function. This function makes use of the +``...'' argument syntax of the C programming language. The list is terminated with a final \textbf{NULL} argument +appended on the right. The function uses the ``stdarg.h'' \textit{va} functions to step portably through the arguments to the function. A count $n$ of succesfully initialized mp\_int structures is maintained (line @47,n++@) such that if a failure does occur, -the algorithm can backtrack and free the previously initialized structures (lines @27,if@ to @46,}@). +the algorithm can backtrack and free the previously initialized structures (lines @27,if@ to @46,}@). \subsection{Clamping Excess Digits} -When a function anticipates a result will be $n$ digits it is simpler to assume this is true within the body of -the function instead of checking during the computation. For example, a multiplication of a $i$ digit number by a -$j$ digit produces a result of at most $i + j$ digits. It is entirely possible that the result is $i + j - 1$ -though, with no final carry into the last position. However, suppose the destination had to be first expanded -(\textit{via mp\_grow}) to accomodate $i + j - 1$ digits than further expanded to accomodate the final carry. +When a function anticipates a result will be $n$ digits it is simpler to assume this is true within the body of +the function instead of checking during the computation. For example, a multiplication of a $i$ digit number by a +$j$ digit produces a result of at most $i + j$ digits. It is entirely possible that the result is $i + j - 1$ +though, with no final carry into the last position. However, suppose the destination had to be first expanded +(\textit{via mp\_grow}) to accomodate $i + j - 1$ digits than further expanded to accomodate the final carry. That would be a considerable waste of time since heap operations are relatively slow. The ideal solution is to always assume the result is $i + j$ and fix up the \textbf{used} count after the function terminates. This way a single heap operation (\textit{at most}) is required. However, if the result was not checked -there would be an excess high order zero digit. +there would be an excess high order zero digit. -For example, suppose the product of two integers was $x_n = (0x_{n-1}x_{n-2}...x_0)_{\beta}$. The leading zero digit +For example, suppose the product of two integers was $x_n = (0x_{n-1}x_{n-2}...x_0)_{\beta}$. The leading zero digit will not contribute to the precision of the result. In fact, through subsequent operations more leading zero digits would -accumulate to the point the size of the integer would be prohibitive. As a result even though the precision is very -low the representation is excessively large. +accumulate to the point the size of the integer would be prohibitive. As a result even though the precision is very +low the representation is excessively large. -The mp\_clamp algorithm is designed to solve this very problem. It will trim high-order zeros by decrementing the -\textbf{used} count until a non-zero most significant digit is found. Also in this system, zero is considered to be a -positive number which means that if the \textbf{used} count is decremented to zero, the sign must be set to +The mp\_clamp algorithm is designed to solve this very problem. It will trim high-order zeros by decrementing the +\textbf{used} count until a non-zero most significant digit is found. Also in this system, zero is considered to be a +positive number which means that if the \textbf{used} count is decremented to zero, the sign must be set to \textbf{MP\_ZPOS}. \begin{figure}[here] @@ -1052,16 +1041,16 @@ positive number which means that if the \textbf{used} count is decremented to ze \textbf{Algorithm mp\_clamp.} As can be expected this algorithm is very simple. The loop on step one is expected to iterate only once or twice at -the most. For example, this will happen in cases where there is not a carry to fill the last position. Step two fixes the sign for +the most. For example, this will happen in cases where there is not a carry to fill the last position. Step two fixes the sign for when all of the digits are zero to ensure that the mp\_int is valid at all times. EXAM,bn_mp_clamp.c Note on line @27,while@ how to test for the \textbf{used} count is made on the left of the \&\& operator. In the C programming -language the terms to \&\& are evaluated left to right with a boolean short-circuit if any condition fails. This is -important since if the \textbf{used} is zero the test on the right would fetch below the array. That is obviously +language the terms to \&\& are evaluated left to right with a boolean short-circuit if any condition fails. This is +important since if the \textbf{used} is zero the test on the right would fetch below the array. That is obviously undesirable. The parenthesis on line @28,a->used@ is used to make sure the \textbf{used} count is decremented and not -the pointer ``a''. +the pointer ``a''. \section*{Exercises} \begin{tabular}{cl} @@ -1087,19 +1076,19 @@ $\left [ 1 \right ]$ & Give an example of when the algorithm mp\_init\_copy mig \section{Introduction} In the previous chapter a series of low level algorithms were established that dealt with initializing and maintaining -mp\_int structures. This chapter will discuss another set of seemingly non-algebraic algorithms which will form the low +mp\_int structures. This chapter will discuss another set of seemingly non-algebraic algorithms which will form the low level basis of the entire library. While these algorithm are relatively trivial it is important to understand how they work before proceeding since these algorithms will be used almost intrinsically in the following chapters. The algorithms in this chapter deal primarily with more ``programmer'' related tasks such as creating copies of mp\_int structures, assigning small values to mp\_int structures and comparisons of the values mp\_int structures -represent. +represent. \section{Assigning Values to mp\_int Structures} \subsection{Copying an mp\_int} Assigning the value that a given mp\_int structure represents to another mp\_int structure shall be known as making a copy for the purposes of this text. The copy of the mp\_int will be a separate entity that represents the same -value as the mp\_int it was copied from. The mp\_copy algorithm provides this functionality. +value as the mp\_int it was copied from. The mp\_copy algorithm provides this functionality. \newpage\begin{figure}[here] \begin{center} @@ -1124,40 +1113,40 @@ value as the mp\_int it was copied from. The mp\_copy algorithm provides this f \textbf{Algorithm mp\_copy.} This algorithm copies the mp\_int $a$ such that upon succesful termination of the algorithm the mp\_int $b$ will -represent the same integer as the mp\_int $a$. The mp\_int $b$ shall be a complete and distinct copy of the +represent the same integer as the mp\_int $a$. The mp\_int $b$ shall be a complete and distinct copy of the mp\_int $a$ meaing that the mp\_int $a$ can be modified and it shall not affect the value of the mp\_int $b$. -If $b$ does not have enough room for the digits of $a$ it must first have its precision augmented via the mp\_grow +If $b$ does not have enough room for the digits of $a$ it must first have its precision augmented via the mp\_grow algorithm. The digits of $a$ are copied over the digits of $b$ and any excess digits of $b$ are set to zero (step two and three). The \textbf{used} and \textbf{sign} members of $a$ are finally copied over the respective members of $b$. \textbf{Remark.} This algorithm also introduces a new idiosyncrasy that will be used throughout the rest of the -text. The error return codes of other algorithms are not explicitly checked in the pseudo-code presented. For example, in -step one of the mp\_copy algorithm the return of mp\_grow is not explicitly checked to ensure it succeeded. Text space is +text. The error return codes of other algorithms are not explicitly checked in the pseudo-code presented. For example, in +step one of the mp\_copy algorithm the return of mp\_grow is not explicitly checked to ensure it succeeded. Text space is limited so it is assumed that if a algorithm fails it will clear all temporarily allocated mp\_ints and return -the error code itself. However, the C code presented will demonstrate all of the error handling logic required to +the error code itself. However, the C code presented will demonstrate all of the error handling logic required to implement the pseudo-code. EXAM,bn_mp_copy.c Occasionally a dependent algorithm may copy an mp\_int effectively into itself such as when the input and output -mp\_int structures passed to a function are one and the same. For this case it is optimal to return immediately without -copying digits (line @24,a == b@). +mp\_int structures passed to a function are one and the same. For this case it is optimal to return immediately without +copying digits (line @24,a == b@). The mp\_int $b$ must have enough digits to accomodate the used digits of the mp\_int $a$. If $b.alloc$ is less than $a.used$ the algorithm mp\_grow is used to augment the precision of $b$ (lines @29,alloc@ to @33,}@). In order to simplify the inner loop that copies the digits from $a$ to $b$, two aliases $tmpa$ and $tmpb$ point directly at the digits of the mp\_ints $a$ and $b$ respectively. These aliases (lines @42,tmpa@ and @45,tmpb@) allow the compiler to access the digits without first dereferencing the -mp\_int pointers and then subsequently the pointer to the digits. +mp\_int pointers and then subsequently the pointer to the digits. -After the aliases are established the digits from $a$ are copied into $b$ (lines @48,for@ to @50,}@) and then the excess -digits of $b$ are set to zero (lines @53,for@ to @55,}@). Both ``for'' loops make use of the pointer aliases and in -fact the alias for $b$ is carried through into the second ``for'' loop to clear the excess digits. This optimization +After the aliases are established the digits from $a$ are copied into $b$ (lines @48,for@ to @50,}@) and then the excess +digits of $b$ are set to zero (lines @53,for@ to @55,}@). Both ``for'' loops make use of the pointer aliases and in +fact the alias for $b$ is carried through into the second ``for'' loop to clear the excess digits. This optimization allows the alias to stay in a machine register fairly easy between the two loops. \textbf{Remarks.} The use of pointer aliases is an implementation methodology first introduced in this function that will -be used considerably in other functions. Technically, a pointer alias is simply a short hand alias used to lower the +be used considerably in other functions. Technically, a pointer alias is simply a short hand alias used to lower the number of pointer dereferencing operations required to access data. For example, a for loop may resemble \begin{alltt} @@ -1166,7 +1155,7 @@ for (x = 0; x < 100; x++) \{ \} \end{alltt} -This could be re-written using aliases as +This could be re-written using aliases as \begin{alltt} mp_digit *tmpa; @@ -1176,17 +1165,17 @@ for (x = 0; x < 100; x++) \{ \} \end{alltt} -In this case an alias is used to access the -array of digits within an mp\_int structure directly. It may seem that a pointer alias is strictly not required +In this case an alias is used to access the +array of digits within an mp\_int structure directly. It may seem that a pointer alias is strictly not required as a compiler may optimize out the redundant pointer operations. However, there are two dominant reasons to use aliases. -The first reason is that most compilers will not effectively optimize pointer arithmetic. For example, some optimizations -may work for the Microsoft Visual C++ compiler (MSVC) and not for the GNU C Compiler (GCC). Also some optimizations may -work for GCC and not MSVC. As such it is ideal to find a common ground for as many compilers as possible. Pointer -aliases optimize the code considerably before the compiler even reads the source code which means the end compiled code +The first reason is that most compilers will not effectively optimize pointer arithmetic. For example, some optimizations +may work for the Microsoft Visual C++ compiler (MSVC) and not for the GNU C Compiler (GCC). Also some optimizations may +work for GCC and not MSVC. As such it is ideal to find a common ground for as many compilers as possible. Pointer +aliases optimize the code considerably before the compiler even reads the source code which means the end compiled code stands a better chance of being faster. -The second reason is that pointer aliases often can make an algorithm simpler to read. Consider the first ``for'' +The second reason is that pointer aliases often can make an algorithm simpler to read. Consider the first ``for'' loop of the function mp\_copy() re-written to not use pointer aliases. \begin{alltt} @@ -1196,13 +1185,13 @@ loop of the function mp\_copy() re-written to not use pointer aliases. \} \end{alltt} -Whether this code is harder to read depends strongly on the individual. However, it is quantifiably slightly more +Whether this code is harder to read depends strongly on the individual. However, it is quantifiably slightly more complicated as there are four variables within the statement instead of just two. \subsubsection{Nested Statements} Another commonly used technique in the source routines is that certain sections of code are nested. This is used in particular with the pointer aliases to highlight code phases. For example, a Comba multiplier (discussed in chapter six) -will typically have three different phases. First the temporaries are initialized, then the columns calculated and +will typically have three different phases. First the temporaries are initialized, then the columns calculated and finally the carries are propagated. In this example the middle column production phase will typically be nested as it uses temporary variables and aliases the most. @@ -1211,9 +1200,9 @@ the various temporary variables required do not propagate into other sections of \subsection{Creating a Clone} -Another common operation is to make a local temporary copy of an mp\_int argument. To initialize an mp\_int -and then copy another existing mp\_int into the newly intialized mp\_int will be known as creating a clone. This is -useful within functions that need to modify an argument but do not wish to actually modify the original copy. The +Another common operation is to make a local temporary copy of an mp\_int argument. To initialize an mp\_int +and then copy another existing mp\_int into the newly intialized mp\_int will be known as creating a clone. This is +useful within functions that need to modify an argument but do not wish to actually modify the original copy. The mp\_init\_copy algorithm has been designed to help perform this task. \begin{figure}[here] @@ -1233,14 +1222,14 @@ mp\_init\_copy algorithm has been designed to help perform this task. \end{figure} \textbf{Algorithm mp\_init\_copy.} -This algorithm will initialize an mp\_int variable and copy another previously initialized mp\_int variable into it. As -such this algorithm will perform two operations in one step. +This algorithm will initialize an mp\_int variable and copy another previously initialized mp\_int variable into it. As +such this algorithm will perform two operations in one step. EXAM,bn_mp_init_copy.c -This will initialize \textbf{a} and make it a verbatim copy of the contents of \textbf{b}. Note that +This will initialize \textbf{a} and make it a verbatim copy of the contents of \textbf{b}. Note that \textbf{a} will have its own memory allocated which means that \textbf{b} may be cleared after the call -and \textbf{a} will be left intact. +and \textbf{a} will be left intact. \section{Zeroing an Integer} Reseting an mp\_int to the default state is a common step in many algorithms. The mp\_zero algorithm will be the algorithm used to @@ -1264,11 +1253,11 @@ perform this task. \end{figure} \textbf{Algorithm mp\_zero.} -This algorithm simply resets a mp\_int to the default state. +This algorithm simply resets a mp\_int to the default state. EXAM,bn_mp_zero.c -After the function is completed, all of the digits are zeroed, the \textbf{used} count is zeroed and the +After the function is completed, all of the digits are zeroed, the \textbf{used} count is zeroed and the \textbf{sign} variable is set to \textbf{MP\_ZPOS}. \section{Sign Manipulation} @@ -1296,7 +1285,7 @@ the absolute value of an mp\_int. \textbf{Algorithm mp\_abs.} This algorithm computes the absolute of an mp\_int input. First it copies $a$ over $b$. This is an example of an algorithm where the check in mp\_copy that determines if the source and destination are equal proves useful. This allows, -for instance, the developer to pass the same mp\_int as the source and destination to this function without addition +for instance, the developer to pass the same mp\_int as the source and destination to this function without addition logic to handle it. EXAM,bn_mp_abs.c @@ -1331,7 +1320,7 @@ the negative of an mp\_int input. \textbf{Algorithm mp\_neg.} This algorithm computes the negation of an input. First it copies $a$ over $b$. If $a$ has no used digits then -the algorithm returns immediately. Otherwise it flips the sign flag and stores the result in $b$. Note that if +the algorithm returns immediately. Otherwise it flips the sign flag and stores the result in $b$. Note that if $a$ had no digits then it must be positive by definition. Had step three been omitted then the algorithm would return zero as negative. @@ -1356,9 +1345,9 @@ Often a mp\_int must be set to a relatively small value such as $1$ or $2$. For 2. $a_0 \leftarrow b \mbox{ (mod }\beta\mbox{)}$ \\ 3. $a.used \leftarrow \left \lbrace \begin{array}{ll} 1 & \mbox{if }a_0 > 0 \\ - 0 & \mbox{if }a_0 = 0 + 0 & \mbox{if }a_0 = 0 \end{array} \right .$ \\ -\hline +\hline \end{tabular} \end{center} \caption{Algorithm mp\_set} @@ -1370,16 +1359,16 @@ single digit is set (\textit{modulo $\beta$}) and the \textbf{used} count is adj EXAM,bn_mp_set.c -First we zero (line @21,mp_zero@) the mp\_int to make sure that the other members are initialized for a +First we zero (line @21,mp_zero@) the mp\_int to make sure that the other members are initialized for a small positive constant. mp\_zero() ensures that the \textbf{sign} is positive and the \textbf{used} count -is zero. Next we set the digit and reduce it modulo $\beta$ (line @22,MP_MASK@). After this step we have to +is zero. Next we set the digit and reduce it modulo $\beta$ (line @22,MP_MASK@). After this step we have to check if the resulting digit is zero or not. If it is not then we set the \textbf{used} count to one, otherwise to zero. -We can quickly reduce modulo $\beta$ since it is of the form $2^k$ and a quick binary AND operation with +We can quickly reduce modulo $\beta$ since it is of the form $2^k$ and a quick binary AND operation with $2^k - 1$ will perform the same operation. -One important limitation of this function is that it will only set one digit. The size of a digit is not fixed, meaning source that uses +One important limitation of this function is that it will only set one digit. The size of a digit is not fixed, meaning source that uses this function should take that into account. Only trivially small constants can be set using this function. \subsection{Setting Large Constants} @@ -1407,9 +1396,9 @@ data type as input and will always treat it as a 32-bit integer. \end{figure} \textbf{Algorithm mp\_set\_int.} -The algorithm performs eight iterations of a simple loop where in each iteration four bits from the source are added to the +The algorithm performs eight iterations of a simple loop where in each iteration four bits from the source are added to the mp\_int. Step 2.1 will multiply the current result by sixteen making room for four more bits in the less significant positions. In step 2.2 the -next four bits from the source are extracted and are added to the mp\_int. The \textbf{used} digit count is +next four bits from the source are extracted and are added to the mp\_int. The \textbf{used} digit count is incremented to reflect the addition. The \textbf{used} digit counter is incremented since if any of the leading digits were zero the mp\_int would have zero digits used and the newly added four bits would be ignored. @@ -1418,23 +1407,23 @@ Excess zero digits are trimmed in steps 2.1 and 3 by using higher level algorith EXAM,bn_mp_set_int.c This function sets four bits of the number at a time to handle all practical \textbf{DIGIT\_BIT} sizes. The weird -addition on line @38,a->used@ ensures that the newly added in bits are added to the number of digits. While it may not -seem obvious as to why the digit counter does not grow exceedingly large it is because of the shift on line @27,mp_mul_2d@ -as well as the call to mp\_clamp() on line @40,mp_clamp@. Both functions will clamp excess leading digits which keeps +addition on line @38,a->used@ ensures that the newly added in bits are added to the number of digits. While it may not +seem obvious as to why the digit counter does not grow exceedingly large it is because of the shift on line @27,mp_mul_2d@ +as well as the call to mp\_clamp() on line @40,mp_clamp@. Both functions will clamp excess leading digits which keeps the number of used digits low. \section{Comparisons} \subsection{Unsigned Comparisions} Comparing a multiple precision integer is performed with the exact same algorithm used to compare two decimal numbers. For example, to compare $1,234$ to $1,264$ the digits are extracted by their positions. That is we compare $1 \cdot 10^3 + 2 \cdot 10^2 + 3 \cdot 10^1 + 4 \cdot 10^0$ -to $1 \cdot 10^3 + 2 \cdot 10^2 + 6 \cdot 10^1 + 4 \cdot 10^0$ by comparing single digits at a time starting with the highest magnitude -positions. If any leading digit of one integer is greater than a digit in the same position of another integer then obviously it must be greater. +to $1 \cdot 10^3 + 2 \cdot 10^2 + 6 \cdot 10^1 + 4 \cdot 10^0$ by comparing single digits at a time starting with the highest magnitude +positions. If any leading digit of one integer is greater than a digit in the same position of another integer then obviously it must be greater. The first comparision routine that will be developed is the unsigned magnitude compare which will perform a comparison based on the digits of two -mp\_int variables alone. It will ignore the sign of the two inputs. Such a function is useful when an absolute comparison is required or if the +mp\_int variables alone. It will ignore the sign of the two inputs. Such a function is useful when an absolute comparison is required or if the signs are known to agree in advance. -To facilitate working with the results of the comparison functions three constants are required. +To facilitate working with the results of the comparison functions three constants are required. \begin{figure}[here] \begin{center} @@ -1470,24 +1459,24 @@ To facilitate working with the results of the comparison functions three constan \textbf{Algorithm mp\_cmp\_mag.} By saying ``$a$ to the left of $b$'' it is meant that the comparison is with respect to $a$, that is if $a$ is greater than $b$ it will return -\textbf{MP\_GT} and similar with respect to when $a = b$ and $a < b$. The first two steps compare the number of digits used in both $a$ and $b$. -Obviously if the digit counts differ there would be an imaginary zero digit in the smaller number where the leading digit of the larger number is. -If both have the same number of digits than the actual digits themselves must be compared starting at the leading digit. +\textbf{MP\_GT} and similar with respect to when $a = b$ and $a < b$. The first two steps compare the number of digits used in both $a$ and $b$. +Obviously if the digit counts differ there would be an imaginary zero digit in the smaller number where the leading digit of the larger number is. +If both have the same number of digits than the actual digits themselves must be compared starting at the leading digit. By step three both inputs must have the same number of digits so its safe to start from either $a.used - 1$ or $b.used - 1$ and count down to the zero'th digit. If after all of the digits have been compared, no difference is found, the algorithm returns \textbf{MP\_EQ}. EXAM,bn_mp_cmp_mag.c -The two if statements (lines @24,if@ and @28,if@) compare the number of digits in the two inputs. These two are -performed before all of the digits are compared since it is a very cheap test to perform and can potentially save -considerable time. The implementation given is also not valid without those two statements. $b.alloc$ may be +The two if statements (lines @24,if@ and @28,if@) compare the number of digits in the two inputs. These two are +performed before all of the digits are compared since it is a very cheap test to perform and can potentially save +considerable time. The implementation given is also not valid without those two statements. $b.alloc$ may be smaller than $a.used$, meaning that undefined values will be read from $b$ past the end of the array of digits. \subsection{Signed Comparisons} -Comparing with sign considerations is also fairly critical in several routines (\textit{division for example}). Based on an unsigned magnitude +Comparing with sign considerations is also fairly critical in several routines (\textit{division for example}). Based on an unsigned magnitude comparison a trivial signed comparison algorithm can be written. \begin{figure}[here] @@ -1510,16 +1499,16 @@ comparison a trivial signed comparison algorithm can be written. \end{figure} \textbf{Algorithm mp\_cmp.} -The first two steps compare the signs of the two inputs. If the signs do not agree then it can return right away with the appropriate -comparison code. When the signs are equal the digits of the inputs must be compared to determine the correct result. In step -three the unsigned comparision flips the order of the arguments since they are both negative. For instance, if $-a > -b$ then +The first two steps compare the signs of the two inputs. If the signs do not agree then it can return right away with the appropriate +comparison code. When the signs are equal the digits of the inputs must be compared to determine the correct result. In step +three the unsigned comparision flips the order of the arguments since they are both negative. For instance, if $-a > -b$ then $\vert a \vert < \vert b \vert$. Step number four will compare the two when they are both positive. EXAM,bn_mp_cmp.c The two if statements (lines @22,if@ and @26,if@) perform the initial sign comparison. If the signs are not the equal then which ever -has the positive sign is larger. The inputs are compared (line @30,if@) based on magnitudes. If the signs were both -negative then the unsigned comparison is performed in the opposite direction (line @31,mp_cmp_mag@). Otherwise, the signs are assumed to +has the positive sign is larger. The inputs are compared (line @30,if@) based on magnitudes. If the signs were both +negative then the unsigned comparison is performed in the opposite direction (line @31,mp_cmp_mag@). Otherwise, the signs are assumed to be both positive and a forward direction unsigned comparison is performed. \section*{Exercises} @@ -1536,38 +1525,38 @@ $\left [ 1 \right ]$ & Suggest a simple method to speed up the implementation of \chapter{Basic Arithmetic} \section{Introduction} -At this point algorithms for initialization, clearing, zeroing, copying, comparing and setting small constants have been -established. The next logical set of algorithms to develop are addition, subtraction and digit shifting algorithms. These -algorithms make use of the lower level algorithms and are the cruicial building block for the multiplication algorithms. It is very important -that these algorithms are highly optimized. On their own they are simple $O(n)$ algorithms but they can be called from higher level algorithms -which easily places them at $O(n^2)$ or even $O(n^3)$ work levels. +At this point algorithms for initialization, clearing, zeroing, copying, comparing and setting small constants have been +established. The next logical set of algorithms to develop are addition, subtraction and digit shifting algorithms. These +algorithms make use of the lower level algorithms and are the cruicial building block for the multiplication algorithms. It is very important +that these algorithms are highly optimized. On their own they are simple $O(n)$ algorithms but they can be called from higher level algorithms +which easily places them at $O(n^2)$ or even $O(n^3)$ work levels. MARK,SHIFTS -All of the algorithms within this chapter make use of the logical bit shift operations denoted by $<<$ and $>>$ for left and right -logical shifts respectively. A logical shift is analogous to sliding the decimal point of radix-10 representations. For example, the real -number $0.9345$ is equivalent to $93.45\%$ which is found by sliding the the decimal two places to the right (\textit{multiplying by $\beta^2 = 10^2$}). -Algebraically a binary logical shift is equivalent to a division or multiplication by a power of two. +All of the algorithms within this chapter make use of the logical bit shift operations denoted by $<<$ and $>>$ for left and right +logical shifts respectively. A logical shift is analogous to sliding the decimal point of radix-10 representations. For example, the real +number $0.9345$ is equivalent to $93.45\%$ which is found by sliding the the decimal two places to the right (\textit{multiplying by $\beta^2 = 10^2$}). +Algebraically a binary logical shift is equivalent to a division or multiplication by a power of two. For example, $a << k = a \cdot 2^k$ while $a >> k = \lfloor a/2^k \rfloor$. One significant difference between a logical shift and the way decimals are shifted is that digits below the zero'th position are removed -from the number. For example, consider $1101_2 >> 1$ using decimal notation this would produce $110.1_2$. However, with a logical shift the -result is $110_2$. +from the number. For example, consider $1101_2 >> 1$ using decimal notation this would produce $110.1_2$. However, with a logical shift the +result is $110_2$. \section{Addition and Subtraction} In common twos complement fixed precision arithmetic negative numbers are easily represented by subtraction from the modulus. For example, with 32-bit integers -$a - b\mbox{ (mod }2^{32}\mbox{)}$ is the same as $a + (2^{32} - b) \mbox{ (mod }2^{32}\mbox{)}$ since $2^{32} \equiv 0 \mbox{ (mod }2^{32}\mbox{)}$. +$a - b\mbox{ (mod }2^{32}\mbox{)}$ is the same as $a + (2^{32} - b) \mbox{ (mod }2^{32}\mbox{)}$ since $2^{32} \equiv 0 \mbox{ (mod }2^{32}\mbox{)}$. As a result subtraction can be performed with a trivial series of logical operations and an addition. However, in multiple precision arithmetic negative numbers are not represented in the same way. Instead a sign flag is used to keep track of the -sign of the integer. As a result signed addition and subtraction are actually implemented as conditional usage of lower level addition or +sign of the integer. As a result signed addition and subtraction are actually implemented as conditional usage of lower level addition or subtraction algorithms with the sign fixed up appropriately. The lower level algorithms will add or subtract integers without regard to the sign flag. That is they will add or subtract the magnitude of the integers respectively. \subsection{Low Level Addition} -An unsigned addition of multiple precision integers is performed with the same long-hand algorithm used to add decimal numbers. That is to add the -trailing digits first and propagate the resulting carry upwards. Since this is a lower level algorithm the name will have a ``s\_'' prefix. +An unsigned addition of multiple precision integers is performed with the same long-hand algorithm used to add decimal numbers. That is to add the +trailing digits first and propagate the resulting carry upwards. Since this is a lower level algorithm the name will have a ``s\_'' prefix. Historically that convention stems from the MPI library where ``s\_'' stood for static functions that were hidden from the developer entirely. \newpage @@ -1614,18 +1603,18 @@ Historically that convention stems from the MPI library where ``s\_'' stood for \end{figure} \textbf{Algorithm s\_mp\_add.} -This algorithm is loosely based on algorithm 14.7 of HAC \cite[pp. 594]{HAC} but has been extended to allow the inputs to have different magnitudes. -Coincidentally the description of algorithm A in Knuth \cite[pp. 266]{TAOCPV2} shares the same deficiency as the algorithm from \cite{HAC}. Even the +This algorithm is loosely based on algorithm 14.7 of HAC \cite[pp. 594]{HAC} but has been extended to allow the inputs to have different magnitudes. +Coincidentally the description of algorithm A in Knuth \cite[pp. 266]{TAOCPV2} shares the same deficiency as the algorithm from \cite{HAC}. Even the MIX pseudo machine code presented by Knuth \cite[pp. 266-267]{TAOCPV2} is incapable of handling inputs which are of different magnitudes. The first thing that has to be accomplished is to sort out which of the two inputs is the largest. The addition logic will simply add all of the smallest input to the largest input and store that first part of the result in the destination. Then it will apply a simpler addition loop to excess digits of the larger input. -The first two steps will handle sorting the inputs such that $min$ and $max$ hold the digit counts of the two +The first two steps will handle sorting the inputs such that $min$ and $max$ hold the digit counts of the two inputs. The variable $x$ will be an mp\_int alias for the largest input or the second input $b$ if they have the -same number of digits. After the inputs are sorted the destination $c$ is grown as required to accomodate the sum -of the two inputs. The original \textbf{used} count of $c$ is copied and set to the new used count. +same number of digits. After the inputs are sorted the destination $c$ is grown as required to accomodate the sum +of the two inputs. The original \textbf{used} count of $c$ is copied and set to the new used count. At this point the first addition loop will go through as many digit positions that both inputs have. The carry variable $\mu$ is set to zero outside the loop. Inside the loop an ``addition'' step requires three statements to produce @@ -1644,32 +1633,32 @@ EXAM,bn_s_mp_add.c We first sort (lines @27,if@ to @35,}@) the inputs based on magnitude and determine the $min$ and $max$ variables. Note that $x$ is a pointer to an mp\_int assigned to the largest input, in effect it is a local alias. Next we -grow the destination (@37,init@ to @42,}@) ensure that it can accomodate the result of the addition. +grow the destination (@37,init@ to @42,}@) ensure that it can accomodate the result of the addition. -Similar to the implementation of mp\_copy this function uses the braced code and local aliases coding style. The three aliases that are on +Similar to the implementation of mp\_copy this function uses the braced code and local aliases coding style. The three aliases that are on lines @56,tmpa@, @59,tmpb@ and @62,tmpc@ represent the two inputs and destination variables respectively. These aliases are used to ensure the compiler does not have to dereference $a$, $b$ or $c$ (respectively) to access the digits of the respective mp\_int. -The initial carry $u$ will be cleared (line @65,u = 0@), note that $u$ is of type mp\_digit which ensures type +The initial carry $u$ will be cleared (line @65,u = 0@), note that $u$ is of type mp\_digit which ensures type compatibility within the implementation. The initial addition (line @66,for@ to @75,}@) adds digits from both inputs until the smallest input runs out of digits. Similarly the conditional addition loop -(line @81,for@ to @90,}@) adds the remaining digits from the larger of the two inputs. The addition is finished +(line @81,for@ to @90,}@) adds the remaining digits from the larger of the two inputs. The addition is finished with the final carry being stored in $tmpc$ (line @94,tmpc++@). Note the ``++'' operator within the same expression. After line @94,tmpc++@, $tmpc$ will point to the $c.used$'th digit of the mp\_int $c$. This is useful for the next loop (line @97,for@ to @99,}@) which set any old upper digits to zero. \subsection{Low Level Subtraction} The low level unsigned subtraction algorithm is very similar to the low level unsigned addition algorithm. The principle difference is that the -unsigned subtraction algorithm requires the result to be positive. That is when computing $a - b$ the condition $\vert a \vert \ge \vert b\vert$ must -be met for this algorithm to function properly. Keep in mind this low level algorithm is not meant to be used in higher level algorithms directly. +unsigned subtraction algorithm requires the result to be positive. That is when computing $a - b$ the condition $\vert a \vert \ge \vert b\vert$ must +be met for this algorithm to function properly. Keep in mind this low level algorithm is not meant to be used in higher level algorithms directly. This algorithm as will be shown can be used to create functional signed addition and subtraction algorithms. MARK,GAMMA For this algorithm a new variable is required to make the description simpler. Recall from section 1.3.1 that a mp\_digit must be able to represent -the range $0 \le x < 2\beta$ for the algorithms to work correctly. However, it is allowable that a mp\_digit represent a larger range of values. For -this algorithm we will assume that the variable $\gamma$ represents the number of bits available in a -mp\_digit (\textit{this implies $2^{\gamma} > \beta$}). +the range $0 \le x < 2\beta$ for the algorithms to work correctly. However, it is allowable that a mp\_digit represent a larger range of values. For +this algorithm we will assume that the variable $\gamma$ represents the number of bits available in a +mp\_digit (\textit{this implies $2^{\gamma} > \beta$}). For example, the default for LibTomMath is to use a ``unsigned long'' for the mp\_digit ``type'' while $\beta = 2^{28}$. In ISO C an ``unsigned long'' data type must be able to represent $0 \le x < 2^{32}$ meaning that in this case $\gamma \ge 32$. @@ -1685,7 +1674,7 @@ data type must be able to represent $0 \le x < 2^{32}$ meaning that in this case 1. $min \leftarrow b.used$ \\ 2. $max \leftarrow a.used$ \\ 3. If $c.alloc < max$ then grow $c$ to hold at least $max$ digits. (\textit{mp\_grow}) \\ -4. $oldused \leftarrow c.used$ \\ +4. $oldused \leftarrow c.used$ \\ 5. $c.used \leftarrow max$ \\ 6. $u \leftarrow 0$ \\ 7. for $n$ from $0$ to $min - 1$ do \\ @@ -1715,54 +1704,54 @@ passing variables $a$ and $b$ the condition that $\vert a \vert \ge \vert b \ver algorithm is loosely based on algorithm 14.9 \cite[pp. 595]{HAC} and is similar to algorithm S in \cite[pp. 267]{TAOCPV2} as well. As was the case of the algorithm s\_mp\_add both other references lack discussion concerning various practical details such as when the inputs differ in magnitude. -The initial sorting of the inputs is trivial in this algorithm since $a$ is guaranteed to have at least the same magnitude of $b$. Steps 1 and 2 -set the $min$ and $max$ variables. Unlike the addition routine there is guaranteed to be no carry which means that the final result can be at -most $max$ digits in length as opposed to $max + 1$. Similar to the addition algorithm the \textbf{used} count of $c$ is copied locally and +The initial sorting of the inputs is trivial in this algorithm since $a$ is guaranteed to have at least the same magnitude of $b$. Steps 1 and 2 +set the $min$ and $max$ variables. Unlike the addition routine there is guaranteed to be no carry which means that the final result can be at +most $max$ digits in length as opposed to $max + 1$. Similar to the addition algorithm the \textbf{used} count of $c$ is copied locally and set to the maximal count for the operation. -The subtraction loop that begins on step seven is essentially the same as the addition loop of algorithm s\_mp\_add except single precision -subtraction is used instead. Note the use of the $\gamma$ variable to extract the carry (\textit{also known as the borrow}) within the subtraction -loops. Under the assumption that two's complement single precision arithmetic is used this will successfully extract the desired carry. +The subtraction loop that begins on step seven is essentially the same as the addition loop of algorithm s\_mp\_add except single precision +subtraction is used instead. Note the use of the $\gamma$ variable to extract the carry (\textit{also known as the borrow}) within the subtraction +loops. Under the assumption that two's complement single precision arithmetic is used this will successfully extract the desired carry. -For example, consider subtracting $0101_2$ from $0100_2$ where $\gamma = 4$ and $\beta = 2$. The least significant bit will force a carry upwards to -the third bit which will be set to zero after the borrow. After the very first bit has been subtracted $4 - 1 \equiv 0011_2$ will remain, When the -third bit of $0101_2$ is subtracted from the result it will cause another carry. In this case though the carry will be forced to propagate all the -way to the most significant bit. +For example, consider subtracting $0101_2$ from $0100_2$ where $\gamma = 4$ and $\beta = 2$. The least significant bit will force a carry upwards to +the third bit which will be set to zero after the borrow. After the very first bit has been subtracted $4 - 1 \equiv 0011_2$ will remain, When the +third bit of $0101_2$ is subtracted from the result it will cause another carry. In this case though the carry will be forced to propagate all the +way to the most significant bit. -Recall that $\beta < 2^{\gamma}$. This means that if a carry does occur just before the $lg(\beta)$'th bit it will propagate all the way to the most +Recall that $\beta < 2^{\gamma}$. This means that if a carry does occur just before the $lg(\beta)$'th bit it will propagate all the way to the most significant bit. Thus, the high order bits of the mp\_digit that are not part of the actual digit will either be all zero, or all one. All that -is needed is a single zero or one bit for the carry. Therefore a single logical shift right by $\gamma - 1$ positions is sufficient to extract the -carry. This method of carry extraction may seem awkward but the reason for it becomes apparent when the implementation is discussed. +is needed is a single zero or one bit for the carry. Therefore a single logical shift right by $\gamma - 1$ positions is sufficient to extract the +carry. This method of carry extraction may seem awkward but the reason for it becomes apparent when the implementation is discussed. If $b$ has a smaller magnitude than $a$ then step 9 will force the carry and copy operation to propagate through the larger input $a$ into $c$. Step 10 will ensure that any leading digits of $c$ above the $max$'th position are zeroed. EXAM,bn_s_mp_sub.c -Like low level addition we ``sort'' the inputs. Except in this case the sorting is hardcoded -(lines @24,min@ and @25,max@). In reality the $min$ and $max$ variables are only aliases and are only -used to make the source code easier to read. Again the pointer alias optimization is used +Like low level addition we ``sort'' the inputs. Except in this case the sorting is hardcoded +(lines @24,min@ and @25,max@). In reality the $min$ and $max$ variables are only aliases and are only +used to make the source code easier to read. Again the pointer alias optimization is used within this algorithm. The aliases $tmpa$, $tmpb$ and $tmpc$ are initialized (lines @42,tmpa@, @43,tmpb@ and @44,tmpc@) for $a$, $b$ and $c$ respectively. The first subtraction loop (lines @47,u = 0@ through @61,}@) subtract digits from both inputs until the smaller of -the two inputs has been exhausted. As remarked earlier there is an implementation reason for using the ``awkward'' -method of extracting the carry (line @57, >>@). The traditional method for extracting the carry would be to shift -by $lg(\beta)$ positions and logically AND the least significant bit. The AND operation is required because all of -the bits above the $\lg(\beta)$'th bit will be set to one after a carry occurs from subtraction. This carry -extraction requires two relatively cheap operations to extract the carry. The other method is to simply shift the -most significant bit to the least significant bit thus extracting the carry with a single cheap operation. This +the two inputs has been exhausted. As remarked earlier there is an implementation reason for using the ``awkward'' +method of extracting the carry (line @57, >>@). The traditional method for extracting the carry would be to shift +by $lg(\beta)$ positions and logically AND the least significant bit. The AND operation is required because all of +the bits above the $\lg(\beta)$'th bit will be set to one after a carry occurs from subtraction. This carry +extraction requires two relatively cheap operations to extract the carry. The other method is to simply shift the +most significant bit to the least significant bit thus extracting the carry with a single cheap operation. This optimization only works on twos compliment machines which is a safe assumption to make. -If $a$ has a larger magnitude than $b$ an additional loop (lines @64,for@ through @73,}@) is required to propagate -the carry through $a$ and copy the result to $c$. +If $a$ has a larger magnitude than $b$ an additional loop (lines @64,for@ through @73,}@) is required to propagate +the carry through $a$ and copy the result to $c$. \subsection{High Level Addition} Now that both lower level addition and subtraction algorithms have been established an effective high level signed addition algorithm can be -established. This high level addition algorithm will be what other algorithms and developers will use to perform addition of mp\_int data -types. +established. This high level addition algorithm will be what other algorithms and developers will use to perform addition of mp\_int data +types. -Recall from section 5.2 that an mp\_int represents an integer with an unsigned mantissa (\textit{the array of digits}) and a \textbf{sign} +Recall from section 5.2 that an mp\_int represents an integer with an unsigned mantissa (\textit{the array of digits}) and a \textbf{sign} flag. A high level addition is actually performed as a series of eight separate cases which can be optimized down to three unique cases. \begin{figure}[!here] @@ -1790,8 +1779,8 @@ flag. A high level addition is actually performed as a series of eight separate \end{figure} \textbf{Algorithm mp\_add.} -This algorithm performs the signed addition of two mp\_int variables. There is no reference algorithm to draw upon from -either \cite{TAOCPV2} or \cite{HAC} since they both only provide unsigned operations. The algorithm is fairly +This algorithm performs the signed addition of two mp\_int variables. There is no reference algorithm to draw upon from +either \cite{TAOCPV2} or \cite{HAC} since they both only provide unsigned operations. The algorithm is fairly straightforward but restricted since subtraction can only produce positive results. \begin{figure}[here] @@ -1821,9 +1810,9 @@ straightforward but restricted since subtraction can only produce positive resul \label{fig:AddChart} \end{figure} -Figure~\ref{fig:AddChart} lists all of the eight possible input combinations and is sorted to show that only three -specific cases need to be handled. The return code of the unsigned operations at step 1.2, 2.1.2 and 2.2.2 are -forwarded to step three to check for errors. This simplifies the description of the algorithm considerably and best +Figure~\ref{fig:AddChart} lists all of the eight possible input combinations and is sorted to show that only three +specific cases need to be handled. The return code of the unsigned operations at step 1.2, 2.1.2 and 2.2.2 are +forwarded to step three to check for errors. This simplifies the description of the algorithm considerably and best follows how the implementation actually was achieved. Also note how the \textbf{sign} is set before the unsigned addition or subtraction is performed. Recall from the descriptions of algorithms @@ -1831,8 +1820,8 @@ s\_mp\_add and s\_mp\_sub that the mp\_clamp function is used at the end to trim to \textbf{MP\_ZPOS} when the \textbf{used} digit count reaches zero. For example, consider performing $-a + a$ with algorithm mp\_add. By the description of the algorithm the sign is set to \textbf{MP\_NEG} which would -produce a result of $-0$. However, since the sign is set first then the unsigned addition is performed the subsequent usage of algorithm mp\_clamp -within algorithm s\_mp\_add will force $-0$ to become $0$. +produce a result of $-0$. However, since the sign is set first then the unsigned addition is performed the subsequent usage of algorithm mp\_clamp +within algorithm s\_mp\_add will force $-0$ to become $0$. EXAM,bn_mp_add.c @@ -1842,7 +1831,7 @@ explicitly checking it and returning the constant \textbf{MP\_OKAY}. The observ level functions do so. Returning their return code is sufficient. \subsection{High Level Subtraction} -The high level signed subtraction algorithm is essentially the same as the high level signed addition algorithm. +The high level signed subtraction algorithm is essentially the same as the high level signed addition algorithm. \newpage\begin{figure}[!here] \begin{center} @@ -1872,7 +1861,7 @@ The high level signed subtraction algorithm is essentially the same as the high \end{figure} \textbf{Algorithm mp\_sub.} -This algorithm performs the signed subtraction of two inputs. Similar to algorithm mp\_add there is no reference in either \cite{TAOCPV2} or +This algorithm performs the signed subtraction of two inputs. Similar to algorithm mp\_add there is no reference in either \cite{TAOCPV2} or \cite{HAC}. Also this algorithm is restricted by algorithm s\_mp\_sub. Chart \ref{fig:SubChart} lists the eight possible inputs and the operations required. @@ -1899,28 +1888,28 @@ the operations required. \label{fig:SubChart} \end{figure} -Similar to the case of algorithm mp\_add the \textbf{sign} is set first before the unsigned addition or subtraction. That is to prevent the -algorithm from producing $-a - -a = -0$ as a result. +Similar to the case of algorithm mp\_add the \textbf{sign} is set first before the unsigned addition or subtraction. That is to prevent the +algorithm from producing $-a - -a = -0$ as a result. EXAM,bn_mp_sub.c Much like the implementation of algorithm mp\_add the variable $res$ is used to catch the return code of the unsigned addition or subtraction operations -and forward it to the end of the function. On line @38, != MP_LT@ the ``not equal to'' \textbf{MP\_LT} expression is used to emulate a -``greater than or equal to'' comparison. +and forward it to the end of the function. On line @38, != MP_LT@ the ``not equal to'' \textbf{MP\_LT} expression is used to emulate a +``greater than or equal to'' comparison. \section{Bit and Digit Shifting} MARK,POLY -It is quite common to think of a multiple precision integer as a polynomial in $x$, that is $y = f(\beta)$ where $f(x) = \sum_{i=0}^{n-1} a_i x^i$. -This notation arises within discussion of Montgomery and Diminished Radix Reduction as well as Karatsuba multiplication and squaring. +It is quite common to think of a multiple precision integer as a polynomial in $x$, that is $y = f(\beta)$ where $f(x) = \sum_{i=0}^{n-1} a_i x^i$. +This notation arises within discussion of Montgomery and Diminished Radix Reduction as well as Karatsuba multiplication and squaring. In order to facilitate operations on polynomials in $x$ as above a series of simple ``digit'' algorithms have to be established. That is to shift the digits left or right as well to shift individual bits of the digits left and right. It is important to note that not all ``shift'' operations -are on radix-$\beta$ digits. +are on radix-$\beta$ digits. \subsection{Multiplication by Two} -In a binary system where the radix is a power of two multiplication by two not only arises often in other algorithms it is a fairly efficient -operation to perform. A single precision logical shift left is sufficient to multiply a single digit by two. +In a binary system where the radix is a power of two multiplication by two not only arises often in other algorithms it is a fairly efficient +operation to perform. A single precision logical shift left is sufficient to multiply a single digit by two. \newpage\begin{figure}[!here] \begin{small} @@ -1954,26 +1943,26 @@ operation to perform. A single precision logical shift left is sufficient to mu \end{figure} \textbf{Algorithm mp\_mul\_2.} -This algorithm will quickly multiply a mp\_int by two provided $\beta$ is a power of two. Neither \cite{TAOCPV2} nor \cite{HAC} describe such -an algorithm despite the fact it arises often in other algorithms. The algorithm is setup much like the lower level algorithm s\_mp\_add since -it is for all intents and purposes equivalent to the operation $b = \vert a \vert + \vert a \vert$. +This algorithm will quickly multiply a mp\_int by two provided $\beta$ is a power of two. Neither \cite{TAOCPV2} nor \cite{HAC} describe such +an algorithm despite the fact it arises often in other algorithms. The algorithm is setup much like the lower level algorithm s\_mp\_add since +it is for all intents and purposes equivalent to the operation $b = \vert a \vert + \vert a \vert$. Step 1 and 2 grow the input as required to accomodate the maximum number of \textbf{used} digits in the result. The initial \textbf{used} count is set to $a.used$ at step 4. Only if there is a final carry will the \textbf{used} count require adjustment. -Step 6 is an optimization implementation of the addition loop for this specific case. That is since the two values being added together +Step 6 is an optimization implementation of the addition loop for this specific case. That is since the two values being added together are the same there is no need to perform two reads from the digits of $a$. Step 6.1 performs a single precision shift on the current digit $a_n$ to obtain what will be the carry for the next iteration. Step 6.2 calculates the $n$'th digit of the result as single precision shift of $a_n$ plus -the previous carry. Recall from ~SHIFTS~ that $a_n << 1$ is equivalent to $a_n \cdot 2$. An iteration of the addition loop is finished with +the previous carry. Recall from ~SHIFTS~ that $a_n << 1$ is equivalent to $a_n \cdot 2$. An iteration of the addition loop is finished with forwarding the carry to the next iteration. -Step 7 takes care of any final carry by setting the $a.used$'th digit of the result to the carry and augmenting the \textbf{used} count of $b$. +Step 7 takes care of any final carry by setting the $a.used$'th digit of the result to the carry and augmenting the \textbf{used} count of $b$. Step 8 clears any leading digits of $b$ in case it originally had a larger magnitude than $a$. EXAM,bn_mp_mul_2.c This implementation is essentially an optimized implementation of s\_mp\_add for the case of doubling an input. The only noteworthy difference -is the use of the logical shift operator on line @52,<<@ to perform a single precision doubling. +is the use of the logical shift operator on line @52,<<@ to perform a single precision doubling. \subsection{Division by Two} A division by two can just as easily be accomplished with a logical shift right as multiplication by two can be with a logical shift left. @@ -2014,26 +2003,26 @@ core as the basis of the algorithm. Unlike mp\_mul\_2 the shift operations work could be written to work from the trailing digit to the leading digit however, it would have to stop one short of $a.used - 1$ digits to prevent reading past the end of the array of digits. -Essentially the loop at step 6 is similar to that of mp\_mul\_2 except the logical shifts go in the opposite direction and the carry is at the -least significant bit not the most significant bit. +Essentially the loop at step 6 is similar to that of mp\_mul\_2 except the logical shifts go in the opposite direction and the carry is at the +least significant bit not the most significant bit. EXAM,bn_mp_div_2.c \section{Polynomial Basis Operations} Recall from ~POLY~ that any integer can be represented as a polynomial in $x$ as $y = f(\beta)$. Such a representation is also known as -the polynomial basis \cite[pp. 48]{ROSE}. Given such a notation a multiplication or division by $x$ amounts to shifting whole digits a single +the polynomial basis \cite[pp. 48]{ROSE}. Given such a notation a multiplication or division by $x$ amounts to shifting whole digits a single place. The need for such operations arises in several other higher level algorithms such as Barrett and Montgomery reduction, integer -division and Karatsuba multiplication. +division and Karatsuba multiplication. Converting from an array of digits to polynomial basis is very simple. Consider the integer $y \equiv (a_2, a_1, a_0)_{\beta}$ and recall that $y = \sum_{i=0}^{2} a_i \beta^i$. Simply replace $\beta$ with $x$ and the expression is in polynomial basis. For example, $f(x) = 8x + 9$ is the -polynomial basis representation for $89$ using radix ten. That is, $f(10) = 8(10) + 9 = 89$. +polynomial basis representation for $89$ using radix ten. That is, $f(10) = 8(10) + 9 = 89$. \subsection{Multiplication by $x$} -Given a polynomial in $x$ such as $f(x) = a_n x^n + a_{n-1} x^{n-1} + ... + a_0$ multiplying by $x$ amounts to shifting the coefficients up one +Given a polynomial in $x$ such as $f(x) = a_n x^n + a_{n-1} x^{n-1} + ... + a_0$ multiplying by $x$ amounts to shifting the coefficients up one degree. In this case $f(x) \cdot x = a_n x^{n+1} + a_{n-1} x^n + ... + a_0 x$. From a scalar basis point of view multiplying by $x$ is equivalent to -multiplying by the integer $\beta$. +multiplying by the integer $\beta$. \newpage\begin{figure}[!here] \begin{small} @@ -2064,16 +2053,16 @@ multiplying by the integer $\beta$. \end{figure} \textbf{Algorithm mp\_lshd.} -This algorithm multiplies an mp\_int by the $b$'th power of $x$. This is equivalent to multiplying by $\beta^b$. The algorithm differs +This algorithm multiplies an mp\_int by the $b$'th power of $x$. This is equivalent to multiplying by $\beta^b$. The algorithm differs from the other algorithms presented so far as it performs the operation in place instead storing the result in a separate location. The motivation behind this change is due to the way this function is typically used. Algorithms such as mp\_add store the result in an optionally different third mp\_int because the original inputs are often still required. Algorithm mp\_lshd (\textit{and similarly algorithm mp\_rshd}) is -typically used on values where the original value is no longer required. The algorithm will return success immediately if -$b \le 0$ since the rest of algorithm is only valid when $b > 0$. +typically used on values where the original value is no longer required. The algorithm will return success immediately if +$b \le 0$ since the rest of algorithm is only valid when $b > 0$. First the destination $a$ is grown as required to accomodate the result. The counters $i$ and $j$ are used to form a \textit{sliding window} over -the digits of $a$ of length $b$. The head of the sliding window is at $i$ (\textit{the leading digit}) and the tail at $j$ (\textit{the trailing digit}). -The loop on step 7 copies the digit from the tail to the head. In each iteration the window is moved down one digit. The last loop on +the digits of $a$ of length $b$. The head of the sliding window is at $i$ (\textit{the leading digit}) and the tail at $j$ (\textit{the trailing digit}). +The loop on step 7 copies the digit from the tail to the head. In each iteration the window is moved down one digit. The last loop on step 8 sets the lower $b$ digits to zero. \newpage @@ -2082,14 +2071,14 @@ FIGU,sliding_window,Sliding Window Movement EXAM,bn_mp_lshd.c The if statement (line @24,if@) ensures that the $b$ variable is greater than zero since we do not interpret negative -shift counts properly. The \textbf{used} count is incremented by $b$ before the copy loop begins. This elminates +shift counts properly. The \textbf{used} count is incremented by $b$ before the copy loop begins. This elminates the need for an additional variable in the for loop. The variable $top$ (line @42,top@) is an alias -for the leading digit while $bottom$ (line @45,bottom@) is an alias for the trailing edge. The aliases form a -window of exactly $b$ digits over the input. +for the leading digit while $bottom$ (line @45,bottom@) is an alias for the trailing edge. The aliases form a +window of exactly $b$ digits over the input. \subsection{Division by $x$} -Division by powers of $x$ is easily achieved by shifting the digits right and removing any that will end up to the right of the zero'th digit. +Division by powers of $x$ is easily achieved by shifting the digits right and removing any that will end up to the right of the zero'th digit. \newpage\begin{figure}[!here] \begin{small} @@ -2122,13 +2111,13 @@ Division by powers of $x$ is easily achieved by shifting the digits right and re \textbf{Algorithm mp\_rshd.} This algorithm divides the input in place by the $b$'th power of $x$. It is analogous to dividing by a $\beta^b$ but much quicker since -it does not require single precision division. This algorithm does not actually return an error code as it cannot fail. +it does not require single precision division. This algorithm does not actually return an error code as it cannot fail. If the input $b$ is less than one the algorithm quickly returns without performing any work. If the \textbf{used} count is less than or equal to the shift count $b$ then it will simply zero the input and return. After the trivial cases of inputs have been handled the sliding window is setup. Much like the case of algorithm mp\_lshd a sliding window that -is $b$ digits wide is used to copy the digits. Unlike mp\_lshd the window slides in the opposite direction from the trailing to the leading digit. +is $b$ digits wide is used to copy the digits. Unlike mp\_lshd the window slides in the opposite direction from the trailing to the leading digit. Also the digits are copied from the leading to the trailing edge. Once the window copy is complete the upper digits must be zeroed and the \textbf{used} count decremented. @@ -2141,9 +2130,9 @@ the upper digits of the input to make sure the result is correct. \section{Powers of Two} -Now that algorithms for moving single bits as well as whole digits exist algorithms for moving the ``in between'' distances are required. For +Now that algorithms for moving single bits as well as whole digits exist algorithms for moving the ``in between'' distances are required. For example, to quickly multiply by $2^k$ for any $k$ without using a full multiplier algorithm would prove useful. Instead of performing single -shifts $k$ times to achieve a multiplication by $2^{\pm k}$ a mixture of whole digit shifting and partial digit shifting is employed. +shifts $k$ times to achieve a multiplication by $2^{\pm k}$ a mixture of whole digit shifting and partial digit shifting is employed. \subsection{Multiplication by Power of Two} @@ -2184,29 +2173,29 @@ shifts $k$ times to achieve a multiplication by $2^{\pm k}$ a mixture of whole d This algorithm multiplies $a$ by $2^b$ and stores the result in $c$. The algorithm uses algorithm mp\_lshd and a derivative of algorithm mp\_mul\_2 to quickly compute the product. -First the algorithm will multiply $a$ by $x^{\lfloor b / lg(\beta) \rfloor}$ which will ensure that the remainder multiplicand is less than -$\beta$. For example, if $b = 37$ and $\beta = 2^{28}$ then this step will multiply by $x$ leaving a multiplication by $2^{37 - 28} = 2^{9}$ +First the algorithm will multiply $a$ by $x^{\lfloor b / lg(\beta) \rfloor}$ which will ensure that the remainder multiplicand is less than +$\beta$. For example, if $b = 37$ and $\beta = 2^{28}$ then this step will multiply by $x$ leaving a multiplication by $2^{37 - 28} = 2^{9}$ left. -After the digits have been shifted appropriately at most $lg(\beta) - 1$ shifts are left to perform. Step 5 calculates the number of remaining shifts -required. If it is non-zero a modified shift loop is used to calculate the remaining product. +After the digits have been shifted appropriately at most $lg(\beta) - 1$ shifts are left to perform. Step 5 calculates the number of remaining shifts +required. If it is non-zero a modified shift loop is used to calculate the remaining product. Essentially the loop is a generic version of algorithm mp\_mul\_2 designed to handle any shift count in the range $1 \le x < lg(\beta)$. The $mask$ -variable is used to extract the upper $d$ bits to form the carry for the next iteration. +variable is used to extract the upper $d$ bits to form the carry for the next iteration. -This algorithm is loosely measured as a $O(2n)$ algorithm which means that if the input is $n$-digits that it takes $2n$ ``time'' to +This algorithm is loosely measured as a $O(2n)$ algorithm which means that if the input is $n$-digits that it takes $2n$ ``time'' to complete. It is possible to optimize this algorithm down to a $O(n)$ algorithm at a cost of making the algorithm slightly harder to follow. EXAM,bn_mp_mul_2d.c -The shifting is performed in--place which means the first step (line @24,a != c@) is to copy the input to the +The shifting is performed in--place which means the first step (line @24,a != c@) is to copy the input to the destination. We avoid calling mp\_copy() by making sure the mp\_ints are different. The destination then has to be grown (line @31,grow@) to accomodate the result. -If the shift count $b$ is larger than $lg(\beta)$ then a call to mp\_lshd() is used to handle all of the multiples -of $lg(\beta)$. Leaving only a remaining shift of $lg(\beta) - 1$ or fewer bits left. Inside the actual shift +If the shift count $b$ is larger than $lg(\beta)$ then a call to mp\_lshd() is used to handle all of the multiples +of $lg(\beta)$. Leaving only a remaining shift of $lg(\beta) - 1$ or fewer bits left. Inside the actual shift loop (lines @45,if@ to @76,}@) we make use of pre--computed values $shift$ and $mask$. These are used to -extract the carry bit(s) to pass into the next iteration of the loop. The $r$ and $rr$ variables form a -chain between consecutive iterations to propagate the carry. +extract the carry bit(s) to pass into the next iteration of the loop. The $r$ and $rr$ variables form a +chain between consecutive iterations to propagate the carry. \subsection{Division by Power of Two} @@ -2244,14 +2233,14 @@ chain between consecutive iterations to propagate the carry. \end{figure} \textbf{Algorithm mp\_div\_2d.} -This algorithm will divide an input $a$ by $2^b$ and produce the quotient and remainder. The algorithm is designed much like algorithm +This algorithm will divide an input $a$ by $2^b$ and produce the quotient and remainder. The algorithm is designed much like algorithm mp\_mul\_2d by first using whole digit shifts then single precision shifts. This algorithm will also produce the remainder of the division by using algorithm mp\_mod\_2d. EXAM,bn_mp_div_2d.c -The implementation of algorithm mp\_div\_2d is slightly different than the algorithm specifies. The remainder $d$ may be optionally -ignored by passing \textbf{NULL} as the pointer to the mp\_int variable. The temporary mp\_int variable $t$ is used to hold the +The implementation of algorithm mp\_div\_2d is slightly different than the algorithm specifies. The remainder $d$ may be optionally +ignored by passing \textbf{NULL} as the pointer to the mp\_int variable. The temporary mp\_int variable $t$ is used to hold the result of the remainder operation until the end. This allows $d$ and $a$ to represent the same mp\_int without modifying $a$ before the quotient is obtained. @@ -2261,7 +2250,7 @@ the direction of the shifts. \subsection{Remainder of Division by Power of Two} The last algorithm in the series of polynomial basis power of two algorithms is calculating the remainder of division by $2^b$. This -algorithm benefits from the fact that in twos complement arithmetic $a \mbox{ (mod }2^b\mbox{)}$ is the same as $a$ AND $2^b - 1$. +algorithm benefits from the fact that in twos complement arithmetic $a \mbox{ (mod }2^b\mbox{)}$ is the same as $a$ AND $2^b - 1$. \begin{figure}[!here] \begin{small} @@ -2293,8 +2282,8 @@ algorithm benefits from the fact that in twos complement arithmetic $a \mbox{ (m \end{figure} \textbf{Algorithm mp\_mod\_2d.} -This algorithm will quickly calculate the value of $a \mbox{ (mod }2^b\mbox{)}$. First if $b$ is less than or equal to zero the -result is set to zero. If $b$ is greater than the number of bits in $a$ then it simply copies $a$ to $c$ and returns. Otherwise, $a$ +This algorithm will quickly calculate the value of $a \mbox{ (mod }2^b\mbox{)}$. First if $b$ is less than or equal to zero the +result is set to zero. If $b$ is greater than the number of bits in $a$ then it simply copies $a$ to $c$ and returns. Otherwise, $a$ is copied to $b$, leading digits are removed and the remaining leading digit is trimed to the exact bit count. EXAM,bn_mp_mod_2d.c @@ -2303,8 +2292,8 @@ We first avoid cases of $b \le 0$ by simply mp\_zero()'ing the destination in su than the input we just mp\_copy() the input and return right away. After this point we know we must actually perform some work to produce the remainder. -Recalling that reducing modulo $2^k$ and a binary ``and'' with $2^k - 1$ are numerically equivalent we can quickly reduce -the number. First we zero any digits above the last digit in $2^b$ (line @41,for@). Next we reduce the +Recalling that reducing modulo $2^k$ and a binary ``and'' with $2^k - 1$ are numerically equivalent we can quickly reduce +the number. First we zero any digits above the last digit in $2^b$ (line @41,for@). Next we reduce the leading digit of both (line @45,&=@) and then mp\_clamp(). \section*{Exercises} @@ -2338,40 +2327,40 @@ $\left [ 2 \right ] $ & Using only algorithms mp\_abs and mp\_sub devise another \chapter{Multiplication and Squaring} \section{The Multipliers} -For most number theoretic problems including certain public key cryptographic algorithms, the ``multipliers'' form the most important subset of -algorithms of any multiple precision integer package. The set of multiplier algorithms include integer multiplication, squaring and modular reduction -where in each of the algorithms single precision multiplication is the dominant operation performed. This chapter will discuss integer multiplication -and squaring, leaving modular reductions for the subsequent chapter. +For most number theoretic problems including certain public key cryptographic algorithms, the ``multipliers'' form the most important subset of +algorithms of any multiple precision integer package. The set of multiplier algorithms include integer multiplication, squaring and modular reduction +where in each of the algorithms single precision multiplication is the dominant operation performed. This chapter will discuss integer multiplication +and squaring, leaving modular reductions for the subsequent chapter. -The importance of the multiplier algorithms is for the most part driven by the fact that certain popular public key algorithms are based on modular +The importance of the multiplier algorithms is for the most part driven by the fact that certain popular public key algorithms are based on modular exponentiation, that is computing $d \equiv a^b \mbox{ (mod }c\mbox{)}$ for some arbitrary choice of $a$, $b$, $c$ and $d$. During a modular -exponentiation the majority\footnote{Roughly speaking a modular exponentiation will spend about 40\% of the time performing modular reductions, -35\% of the time performing squaring and 25\% of the time performing multiplications.} of the processor time is spent performing single precision +exponentiation the majority\footnote{Roughly speaking a modular exponentiation will spend about 40\% of the time performing modular reductions, +35\% of the time performing squaring and 25\% of the time performing multiplications.} of the processor time is spent performing single precision multiplications. -For centuries general purpose multiplication has required a lengthly $O(n^2)$ process, whereby each digit of one multiplicand has to be multiplied -against every digit of the other multiplicand. Traditional long-hand multiplication is based on this process; while the techniques can differ the -overall algorithm used is essentially the same. Only ``recently'' have faster algorithms been studied. First Karatsuba multiplication was discovered in -1962. This algorithm can multiply two numbers with considerably fewer single precision multiplications when compared to the long-hand approach. -This technique led to the discovery of polynomial basis algorithms (\textit{good reference?}) and subquently Fourier Transform based solutions. +For centuries general purpose multiplication has required a lengthly $O(n^2)$ process, whereby each digit of one multiplicand has to be multiplied +against every digit of the other multiplicand. Traditional long-hand multiplication is based on this process; while the techniques can differ the +overall algorithm used is essentially the same. Only ``recently'' have faster algorithms been studied. First Karatsuba multiplication was discovered in +1962. This algorithm can multiply two numbers with considerably fewer single precision multiplications when compared to the long-hand approach. +This technique led to the discovery of polynomial basis algorithms (\textit{good reference?}) and subquently Fourier Transform based solutions. \section{Multiplication} \subsection{The Baseline Multiplication} \label{sec:basemult} \index{baseline multiplication} Computing the product of two integers in software can be achieved using a trivial adaptation of the standard $O(n^2)$ long-hand multiplication -algorithm that school children are taught. The algorithm is considered an $O(n^2)$ algorithm since for two $n$-digit inputs $n^2$ single precision -multiplications are required. More specifically for a $m$ and $n$ digit input $m \cdot n$ single precision multiplications are required. To -simplify most discussions, it will be assumed that the inputs have comparable number of digits. - -The ``baseline multiplication'' algorithm is designed to act as the ``catch-all'' algorithm, only to be used when the faster algorithms cannot be -used. This algorithm does not use any particularly interesting optimizations and should ideally be avoided if possible. One important -facet of this algorithm, is that it has been modified to only produce a certain amount of output digits as resolution. The importance of this -modification will become evident during the discussion of Barrett modular reduction. Recall that for a $n$ and $m$ digit input the product -will be at most $n + m$ digits. Therefore, this algorithm can be reduced to a full multiplier by having it produce $n + m$ digits of the product. - -Recall from ~GAMMA~ the definition of $\gamma$ as the number of bits in the type \textbf{mp\_digit}. We shall now extend the variable set to -include $\alpha$ which shall represent the number of bits in the type \textbf{mp\_word}. This implies that $2^{\alpha} > 2 \cdot \beta^2$. The +algorithm that school children are taught. The algorithm is considered an $O(n^2)$ algorithm since for two $n$-digit inputs $n^2$ single precision +multiplications are required. More specifically for a $m$ and $n$ digit input $m \cdot n$ single precision multiplications are required. To +simplify most discussions, it will be assumed that the inputs have comparable number of digits. + +The ``baseline multiplication'' algorithm is designed to act as the ``catch-all'' algorithm, only to be used when the faster algorithms cannot be +used. This algorithm does not use any particularly interesting optimizations and should ideally be avoided if possible. One important +facet of this algorithm, is that it has been modified to only produce a certain amount of output digits as resolution. The importance of this +modification will become evident during the discussion of Barrett modular reduction. Recall that for a $n$ and $m$ digit input the product +will be at most $n + m$ digits. Therefore, this algorithm can be reduced to a full multiplier by having it produce $n + m$ digits of the product. + +Recall from ~GAMMA~ the definition of $\gamma$ as the number of bits in the type \textbf{mp\_digit}. We shall now extend the variable set to +include $\alpha$ which shall represent the number of bits in the type \textbf{mp\_word}. This implies that $2^{\alpha} > 2 \cdot \beta^2$. The constant $\delta = 2^{\alpha - 2lg(\beta)}$ will represent the maximal weight of any column in a product (\textit{see ~COMBA~ for more information}). \newpage\begin{figure}[!here] @@ -2415,20 +2404,20 @@ Compute the product. \\ \textbf{Algorithm s\_mp\_mul\_digs.} This algorithm computes the unsigned product of two inputs $a$ and $b$, limited to an output precision of $digs$ digits. While it may seem -a bit awkward to modify the function from its simple $O(n^2)$ description, the usefulness of partial multipliers will arise in a subsequent -algorithm. The algorithm is loosely based on algorithm 14.12 from \cite[pp. 595]{HAC} and is similar to Algorithm M of Knuth \cite[pp. 268]{TAOCPV2}. -Algorithm s\_mp\_mul\_digs differs from these cited references since it can produce a variable output precision regardless of the precision of the +a bit awkward to modify the function from its simple $O(n^2)$ description, the usefulness of partial multipliers will arise in a subsequent +algorithm. The algorithm is loosely based on algorithm 14.12 from \cite[pp. 595]{HAC} and is similar to Algorithm M of Knuth \cite[pp. 268]{TAOCPV2}. +Algorithm s\_mp\_mul\_digs differs from these cited references since it can produce a variable output precision regardless of the precision of the inputs. The first thing this algorithm checks for is whether a Comba multiplier can be used instead. If the minimum digit count of either -input is less than $\delta$, then the Comba method may be used instead. After the Comba method is ruled out, the baseline algorithm begins. A -temporary mp\_int variable $t$ is used to hold the intermediate result of the product. This allows the algorithm to be used to -compute products when either $a = c$ or $b = c$ without overwriting the inputs. +input is less than $\delta$, then the Comba method may be used instead. After the Comba method is ruled out, the baseline algorithm begins. A +temporary mp\_int variable $t$ is used to hold the intermediate result of the product. This allows the algorithm to be used to +compute products when either $a = c$ or $b = c$ without overwriting the inputs. All of step 5 is the infamous $O(n^2)$ multiplication loop slightly modified to only produce upto $digs$ digits of output. The $pb$ variable is given the count of digits to read from $b$ inside the nested loop. If $pb \le 1$ then no more output digits can be produced and the algorithm -will exit the loop. The best way to think of the loops are as a series of $pb \times 1$ multiplications. That is, in each pass of the -innermost loop $a_{ix}$ is multiplied against $b$ and the result is added (\textit{with an appropriate shift}) to $t$. +will exit the loop. The best way to think of the loops are as a series of $pb \times 1$ multiplications. That is, in each pass of the +innermost loop $a_{ix}$ is multiplied against $b$ and the result is added (\textit{with an appropriate shift}) to $t$. For example, consider multiplying $576$ by $241$. That is equivalent to computing $10^0(1)(576) + 10^1(4)(576) + 10^2(2)(576)$ which is best visualized in the following table. @@ -2442,20 +2431,20 @@ visualized in the following table. && & 5 & 7 & 6 & $10^0(1)(576)$ \\ &2 & 3 & 6 & 1 & 6 & $10^1(4)(576) + 10^0(1)(576)$ \\ 1 & 3 & 8 & 8 & 1 & 6 & $10^2(2)(576) + 10^1(4)(576) + 10^0(1)(576)$ \\ -\hline +\hline \end{tabular} \end{center} \caption{Long-Hand Multiplication Diagram} \end{figure} -Each row of the product is added to the result after being shifted to the left (\textit{multiplied by a power of the radix}) by the appropriate +Each row of the product is added to the result after being shifted to the left (\textit{multiplied by a power of the radix}) by the appropriate count. That is in pass $ix$ of the inner loop the product is added starting at the $ix$'th digit of the reult. Step 5.4.1 introduces the hat symbol (\textit{e.g. $\hat r$}) which represents a double precision variable. The multiplication on that step is assumed to be a double wide output single precision multiplication. That is, two single precision variables are multiplied to produce a double precision result. The step is somewhat optimized from a long-hand multiplication algorithm because the carry from the addition in step -5.4.1 is propagated through the nested loop. If the carry was not propagated immediately it would overflow the single precision digit -$t_{ix+iy}$ and the result would be lost. +5.4.1 is propagated through the nested loop. If the carry was not propagated immediately it would overflow the single precision digit +$t_{ix+iy}$ and the result would be lost. At step 5.5 the nested loop is finished and any carry that was left over should be forwarded. The carry does not have to be added to the $ix+pb$'th digit since that digit is assumed to be zero at this point. However, if $ix + pb \ge digs$ the carry is not set as it would make the result @@ -2463,53 +2452,53 @@ exceed the precision requested. EXAM,bn_s_mp_mul_digs.c -First we determine (line @30,if@) if the Comba method can be used first since it's faster. The conditions for -sing the Comba routine are that min$(a.used, b.used) < \delta$ and the number of digits of output is less than -\textbf{MP\_WARRAY}. This new constant is used to control the stack usage in the Comba routines. By default it is +First we determine (line @30,if@) if the Comba method can be used first since it's faster. The conditions for +sing the Comba routine are that min$(a.used, b.used) < \delta$ and the number of digits of output is less than +\textbf{MP\_WARRAY}. This new constant is used to control the stack usage in the Comba routines. By default it is set to $\delta$ but can be reduced when memory is at a premium. If we cannot use the Comba method we proceed to setup the baseline routine. We allocate the the destination mp\_int -$t$ (line @36,init@) to the exact size of the output to avoid further re--allocations. At this point we now +$t$ (line @36,init@) to the exact size of the output to avoid further re--allocations. At this point we now begin the $O(n^2)$ loop. This implementation of multiplication has the caveat that it can be trimmed to only produce a variable number of -digits as output. In each iteration of the outer loop the $pb$ variable is set (line @48,MIN@) to the maximum -number of inner loop iterations. +digits as output. In each iteration of the outer loop the $pb$ variable is set (line @48,MIN@) to the maximum +number of inner loop iterations. Inside the inner loop we calculate $\hat r$ as the mp\_word product of the two mp\_digits and the addition of the -carry from the previous iteration. A particularly important observation is that most modern optimizing -C compilers (GCC for instance) can recognize that a $N \times N \rightarrow 2N$ multiplication is all that +carry from the previous iteration. A particularly important observation is that most modern optimizing +C compilers (GCC for instance) can recognize that a $N \times N \rightarrow 2N$ multiplication is all that is required for the product. In x86 terms for example, this means using the MUL instruction. -Each digit of the product is stored in turn (line @68,tmpt@) and the carry propagated (line @71,>>@) to the +Each digit of the product is stored in turn (line @68,tmpt@) and the carry propagated (line @71,>>@) to the next iteration. \subsection{Faster Multiplication by the ``Comba'' Method} MARK,COMBA -One of the huge drawbacks of the ``baseline'' algorithms is that at the $O(n^2)$ level the carry must be -computed and propagated upwards. This makes the nested loop very sequential and hard to unroll and implement -in parallel. The ``Comba'' \cite{COMBA} method is named after little known (\textit{in cryptographic venues}) Paul G. -Comba who described a method of implementing fast multipliers that do not require nested carry fixup operations. As an -interesting aside it seems that Paul Barrett describes a similar technique in his 1986 paper \cite{BARRETT} written +One of the huge drawbacks of the ``baseline'' algorithms is that at the $O(n^2)$ level the carry must be +computed and propagated upwards. This makes the nested loop very sequential and hard to unroll and implement +in parallel. The ``Comba'' \cite{COMBA} method is named after little known (\textit{in cryptographic venues}) Paul G. +Comba who described a method of implementing fast multipliers that do not require nested carry fixup operations. As an +interesting aside it seems that Paul Barrett describes a similar technique in his 1986 paper \cite{BARRETT} written five years before. -At the heart of the Comba technique is once again the long-hand algorithm. Except in this case a slight -twist is placed on how the columns of the result are produced. In the standard long-hand algorithm rows of products -are produced then added together to form the final result. In the baseline algorithm the columns are added together -after each iteration to get the result instantaneously. +At the heart of the Comba technique is once again the long-hand algorithm. Except in this case a slight +twist is placed on how the columns of the result are produced. In the standard long-hand algorithm rows of products +are produced then added together to form the final result. In the baseline algorithm the columns are added together +after each iteration to get the result instantaneously. -In the Comba algorithm the columns of the result are produced entirely independently of each other. That is at -the $O(n^2)$ level a simple multiplication and addition step is performed. The carries of the columns are propagated -after the nested loop to reduce the amount of work requiored. Succintly the first step of the algorithm is to compute -the product vector $\vec x$ as follows. +In the Comba algorithm the columns of the result are produced entirely independently of each other. That is at +the $O(n^2)$ level a simple multiplication and addition step is performed. The carries of the columns are propagated +after the nested loop to reduce the amount of work requiored. Succintly the first step of the algorithm is to compute +the product vector $\vec x$ as follows. \begin{equation} \vec x_n = \sum_{i+j = n} a_ib_j, \forall n \in \lbrace 0, 1, 2, \ldots, i + j \rbrace \end{equation} Where $\vec x_n$ is the $n'th$ column of the output vector. Consider the following example which computes the vector $\vec x$ for the multiplication -of $576$ and $241$. +of $576$ and $241$. \newpage\begin{figure}[here] \begin{small} @@ -2520,15 +2509,15 @@ of $576$ and $241$. \hline & & $1 \cdot 5 = 5$ & $1 \cdot 7 = 7$ & $1 \cdot 6 = 6$ & First pass \\ & $4 \cdot 5 = 20$ & $4 \cdot 7+5=33$ & $4 \cdot 6+7=31$ & 6 & Second pass \\ $2 \cdot 5 = 10$ & $2 \cdot 7 + 20 = 34$ & $2 \cdot 6+33=45$ & 31 & 6 & Third pass \\ -\hline 10 & 34 & 45 & 31 & 6 & Final Result \\ -\hline +\hline 10 & 34 & 45 & 31 & 6 & Final Result \\ +\hline \end{tabular} \end{center} \end{small} \caption{Comba Multiplication Diagram} \end{figure} -At this point the vector $x = \left < 10, 34, 45, 31, 6 \right >$ is the result of the first step of the Comba multipler. +At this point the vector $x = \left < 10, 34, 45, 31, 6 \right >$ is the result of the first step of the Comba multipler. Now the columns must be fixed by propagating the carry upwards. The resultant vector will have one extra dimension over the input vector which is congruent to adding a leading zero digit. @@ -2551,16 +2540,16 @@ congruent to adding a leading zero digit. \caption{Algorithm Comba Fixup} \end{figure} -With that algorithm and $k = 5$ and $\beta = 10$ the following vector is produced $\vec x= \left < 1, 3, 8, 8, 1, 6 \right >$. In this case +With that algorithm and $k = 5$ and $\beta = 10$ the following vector is produced $\vec x= \left < 1, 3, 8, 8, 1, 6 \right >$. In this case $241 \cdot 576$ is in fact $138816$ and the procedure succeeded. If the algorithm is correct and as will be demonstrated shortly more efficient than the baseline algorithm why not simply always use this algorithm? \subsubsection{Column Weight.} -At the nested $O(n^2)$ level the Comba method adds the product of two single precision variables to each column of the output +At the nested $O(n^2)$ level the Comba method adds the product of two single precision variables to each column of the output independently. A serious obstacle is if the carry is lost, due to lack of precision before the algorithm has a chance to fix the carries. For example, in the multiplication of two three-digit numbers the third column of output will be the sum of three single precision multiplications. If the precision of the accumulator for the output digits is less then $3 \cdot (\beta - 1)^2$ then -an overflow can occur and the carry information will be lost. For any $m$ and $n$ digit inputs the maximum weight of any column is +an overflow can occur and the carry information will be lost. For any $m$ and $n$ digit inputs the maximum weight of any column is min$(m, n)$ which is fairly obvious. The maximum number of terms in any column of a product is known as the ``column weight'' and strictly governs when the algorithm can be used. Recall @@ -2571,7 +2560,7 @@ two quantities we must not violate the following k \cdot \left (\beta - 1 \right )^2 < 2^{\alpha} \end{equation} -Which reduces to +Which reduces to \begin{equation} k \cdot \left ( \beta^2 - 2\beta + 1 \right ) < 2^{\alpha} @@ -2584,9 +2573,9 @@ found. k < {{2^{\alpha}} \over {\left (2^{2\rho} - 2^{\rho + 1} + 1 \right )}} \end{equation} -The defaults for LibTomMath are $\beta = 2^{28}$ and $\alpha = 2^{64}$ which means that $k$ is bounded by $k < 257$. In this configuration -the smaller input may not have more than $256$ digits if the Comba method is to be used. This is quite satisfactory for most applications since -$256$ digits would allow for numbers in the range of $0 \le x < 2^{7168}$ which, is much larger than most public key cryptographic algorithms require. +The defaults for LibTomMath are $\beta = 2^{28}$ and $\alpha = 2^{64}$ which means that $k$ is bounded by $k < 257$. In this configuration +the smaller input may not have more than $256$ digits if the Comba method is to be used. This is quite satisfactory for most applications since +$256$ digits would allow for numbers in the range of $0 \le x < 2^{7168}$ which, is much larger than most public key cryptographic algorithms require. \newpage\begin{figure}[!here] \begin{small} @@ -2632,74 +2621,74 @@ Place an array of \textbf{MP\_WARRAY} single precision digits named $W$ on the s \textbf{Algorithm fast\_s\_mp\_mul\_digs.} This algorithm performs the unsigned multiplication of $a$ and $b$ using the Comba method limited to $digs$ digits of precision. -The outer loop of this algorithm is more complicated than that of the baseline multiplier. This is because on the inside of the +The outer loop of this algorithm is more complicated than that of the baseline multiplier. This is because on the inside of the loop we want to produce one column per pass. This allows the accumulator $\_ \hat W$ to be placed in CPU registers and reduce the memory bandwidth to two \textbf{mp\_digit} reads per iteration. The $ty$ variable is set to the minimum count of $ix$ or the number of digits in $b$. That way if $a$ has more digits than $b$ this will be limited to $b.used - 1$. The $tx$ variable is set to the to the distance past $b.used$ the variable -$ix$ is. This is used for the immediately subsequent statement where we find $iy$. +$ix$ is. This is used for the immediately subsequent statement where we find $iy$. The variable $iy$ is the minimum digits we can read from either $a$ or $b$ before running out. Computing one column at a time means we have to scan one integer upwards and the other downwards. $a$ starts at $tx$ and $b$ starts at $ty$. In each -pass we are producing the $ix$'th output column and we note that $tx + ty = ix$. As we move $tx$ upwards we have to -move $ty$ downards so the equality remains valid. The $iy$ variable is the number of iterations until +pass we are producing the $ix$'th output column and we note that $tx + ty = ix$. As we move $tx$ upwards we have to +move $ty$ downards so the equality remains valid. The $iy$ variable is the number of iterations until $tx \ge a.used$ or $ty < 0$ occurs. After every inner pass we store the lower half of the accumulator into $W_{ix}$ and then propagate the carry of the accumulator into the next round by dividing $\_ \hat W$ by $\beta$. -To measure the benefits of the Comba method over the baseline method consider the number of operations that are required. If the -cost in terms of time of a multiply and addition is $p$ and the cost of a carry propagation is $q$ then a baseline multiplication would require -$O \left ((p + q)n^2 \right )$ time to multiply two $n$-digit numbers. The Comba method requires only $O(pn^2 + qn)$ time, however in practice, +To measure the benefits of the Comba method over the baseline method consider the number of operations that are required. If the +cost in terms of time of a multiply and addition is $p$ and the cost of a carry propagation is $q$ then a baseline multiplication would require +$O \left ((p + q)n^2 \right )$ time to multiply two $n$-digit numbers. The Comba method requires only $O(pn^2 + qn)$ time, however in practice, the speed increase is actually much more. With $O(n)$ space the algorithm can be reduced to $O(pn + qn)$ time by implementing the $n$ multiply -and addition operations in the nested loop in parallel. +and addition operations in the nested loop in parallel. EXAM,bn_fast_s_mp_mul_digs.c As per the pseudo--code we first calculate $pa$ (line @47,MIN@) as the number of digits to output. Next we begin the outer loop to produce the individual columns of the product. We use the two aliases $tmpx$ and $tmpy$ (lines @61,tmpx@, @62,tmpy@) to point -inside the two multiplicands quickly. - -The inner loop (lines @70,for@ to @72,}@) of this implementation is where the tradeoff come into play. Originally this comba -implementation was ``row--major'' which means it adds to each of the columns in each pass. After the outer loop it would then fix -the carries. This was very fast except it had an annoying drawback. You had to read a mp\_word and two mp\_digits and write -one mp\_word per iteration. On processors such as the Athlon XP and P4 this did not matter much since the cache bandwidth -is very high and it can keep the ALU fed with data. It did, however, matter on older and embedded cpus where cache is often -slower and also often doesn't exist. This new algorithm only performs two reads per iteration under the assumption that the +inside the two multiplicands quickly. + +The inner loop (lines @70,for@ to @72,}@) of this implementation is where the tradeoff come into play. Originally this comba +implementation was ``row--major'' which means it adds to each of the columns in each pass. After the outer loop it would then fix +the carries. This was very fast except it had an annoying drawback. You had to read a mp\_word and two mp\_digits and write +one mp\_word per iteration. On processors such as the Athlon XP and P4 this did not matter much since the cache bandwidth +is very high and it can keep the ALU fed with data. It did, however, matter on older and embedded cpus where cache is often +slower and also often doesn't exist. This new algorithm only performs two reads per iteration under the assumption that the compiler has aliased $\_ \hat W$ to a CPU register. -After the inner loop we store the current accumulator in $W$ and shift $\_ \hat W$ (lines @75,W[ix]@, @78,>>@) to forward it as -a carry for the next pass. After the outer loop we use the final carry (line @82,W[ix]@) as the last digit of the product. +After the inner loop we store the current accumulator in $W$ and shift $\_ \hat W$ (lines @75,W[ix]@, @78,>>@) to forward it as +a carry for the next pass. After the outer loop we use the final carry (line @82,W[ix]@) as the last digit of the product. \subsection{Polynomial Basis Multiplication} To break the $O(n^2)$ barrier in multiplication requires a completely different look at integer multiplication. In the following algorithms -the use of polynomial basis representation for two integers $a$ and $b$ as $f(x) = \sum_{i=0}^{n} a_i x^i$ and +the use of polynomial basis representation for two integers $a$ and $b$ as $f(x) = \sum_{i=0}^{n} a_i x^i$ and $g(x) = \sum_{i=0}^{n} b_i x^i$ respectively, is required. In this system both $f(x)$ and $g(x)$ have $n + 1$ terms and are of the $n$'th degree. - + The product $a \cdot b \equiv f(x)g(x)$ is the polynomial $W(x) = \sum_{i=0}^{2n} w_i x^i$. The coefficients $w_i$ will directly yield the desired product when $\beta$ is substituted for $x$. The direct solution to solve for the $2n + 1$ coefficients requires $O(n^2)$ time and would in practice be slower than the Comba technique. -However, numerical analysis theory indicates that only $2n + 1$ distinct points in $W(x)$ are required to determine the values of the $2n + 1$ unknown -coefficients. This means by finding $\zeta_y = W(y)$ for $2n + 1$ small values of $y$ the coefficients of $W(x)$ can be found with -Gaussian elimination. This technique is also occasionally refered to as the \textit{interpolation technique} (\textit{references please...}) since in -effect an interpolation based on $2n + 1$ points will yield a polynomial equivalent to $W(x)$. +However, numerical analysis theory indicates that only $2n + 1$ distinct points in $W(x)$ are required to determine the values of the $2n + 1$ unknown +coefficients. This means by finding $\zeta_y = W(y)$ for $2n + 1$ small values of $y$ the coefficients of $W(x)$ can be found with +Gaussian elimination. This technique is also occasionally refered to as the \textit{interpolation technique} (\textit{references please...}) since in +effect an interpolation based on $2n + 1$ points will yield a polynomial equivalent to $W(x)$. -The coefficients of the polynomial $W(x)$ are unknown which makes finding $W(y)$ for any value of $y$ impossible. However, since -$W(x) = f(x)g(x)$ the equivalent $\zeta_y = f(y) g(y)$ can be used in its place. The benefit of this technique stems from the -fact that $f(y)$ and $g(y)$ are much smaller than either $a$ or $b$ respectively. As a result finding the $2n + 1$ relations required +The coefficients of the polynomial $W(x)$ are unknown which makes finding $W(y)$ for any value of $y$ impossible. However, since +$W(x) = f(x)g(x)$ the equivalent $\zeta_y = f(y) g(y)$ can be used in its place. The benefit of this technique stems from the +fact that $f(y)$ and $g(y)$ are much smaller than either $a$ or $b$ respectively. As a result finding the $2n + 1$ relations required by multiplying $f(y)g(y)$ involves multiplying integers that are much smaller than either of the inputs. When picking points to gather relations there are always three obvious points to choose, $y = 0, 1$ and $ \infty$. The $\zeta_0$ term -is simply the product $W(0) = w_0 = a_0 \cdot b_0$. The $\zeta_1$ term is the product +is simply the product $W(0) = w_0 = a_0 \cdot b_0$. The $\zeta_1$ term is the product $W(1) = \left (\sum_{i = 0}^{n} a_i \right ) \left (\sum_{i = 0}^{n} b_i \right )$. The third point $\zeta_{\infty}$ is less obvious but rather -simple to explain. The $2n + 1$'th coefficient of $W(x)$ is numerically equivalent to the most significant column in an integer multiplication. -The point at $\infty$ is used symbolically to represent the most significant column, that is $W(\infty) = w_{2n} = a_nb_n$. Note that the +simple to explain. The $2n + 1$'th coefficient of $W(x)$ is numerically equivalent to the most significant column in an integer multiplication. +The point at $\infty$ is used symbolically to represent the most significant column, that is $W(\infty) = w_{2n} = a_nb_n$. Note that the points at $y = 0$ and $\infty$ yield the coefficients $w_0$ and $w_{2n}$ directly. -If more points are required they should be of small values and powers of two such as $2^q$ and the related \textit{mirror points} -$\left (2^q \right )^{2n} \cdot \zeta_{2^{-q}}$ for small values of $q$. The term ``mirror point'' stems from the fact that +If more points are required they should be of small values and powers of two such as $2^q$ and the related \textit{mirror points} +$\left (2^q \right )^{2n} \cdot \zeta_{2^{-q}}$ for small values of $q$. The term ``mirror point'' stems from the fact that $\left (2^q \right )^{2n} \cdot \zeta_{2^{-q}}$ can be calculated in the exact opposite fashion as $\zeta_{2^q}$. For example, when $n = 2$ and $q = 1$ then following two equations are equivalent to the point $\zeta_{2}$ and its mirror. @@ -2709,10 +2698,10 @@ example, when $n = 2$ and $q = 1$ then following two equations are equivalent to \end{eqnarray} Using such points will allow the values of $f(y)$ and $g(y)$ to be independently calculated using only left shifts. For example, when $n = 2$ the -polynomial $f(2^q)$ is equal to $2^q((2^qa_2) + a_1) + a_0$. This technique of polynomial representation is known as Horner's method. +polynomial $f(2^q)$ is equal to $2^q((2^qa_2) + a_1) + a_0$. This technique of polynomial representation is known as Horner's method. -As a general rule of the algorithm when the inputs are split into $n$ parts each there are $2n - 1$ multiplications. Each multiplication is of -multiplicands that have $n$ times fewer digits than the inputs. The asymptotic running time of this algorithm is +As a general rule of the algorithm when the inputs are split into $n$ parts each there are $2n - 1$ multiplications. Each multiplication is of +multiplicands that have $n$ times fewer digits than the inputs. The asymptotic running time of this algorithm is $O \left ( k^{lg_n(2n - 1)} \right )$ for $k$ digit inputs (\textit{assuming they have the same number of digits}). Figure~\ref{fig:exponent} summarizes the exponents for various values of $n$. @@ -2737,23 +2726,23 @@ summarizes the exponents for various values of $n$. At first it may seem like a good idea to choose $n = 1000$ since the exponent is approximately $1.1$. However, the overhead of solving for the 2001 terms of $W(x)$ will certainly consume any savings the algorithm could offer for all but exceedingly large -numbers. +numbers. \subsubsection{Cutoff Point} -The polynomial basis multiplication algorithms all require fewer single precision multiplications than a straight Comba approach. However, +The polynomial basis multiplication algorithms all require fewer single precision multiplications than a straight Comba approach. However, the algorithms incur an overhead (\textit{at the $O(n)$ work level}) since they require a system of equations to be solved. This makes the polynomial basis approach more costly to use with small inputs. -Let $m$ represent the number of digits in the multiplicands (\textit{assume both multiplicands have the same number of digits}). There exists a -point $y$ such that when $m < y$ the polynomial basis algorithms are more costly than Comba, when $m = y$ they are roughly the same cost and -when $m > y$ the Comba methods are slower than the polynomial basis algorithms. +Let $m$ represent the number of digits in the multiplicands (\textit{assume both multiplicands have the same number of digits}). There exists a +point $y$ such that when $m < y$ the polynomial basis algorithms are more costly than Comba, when $m = y$ they are roughly the same cost and +when $m > y$ the Comba methods are slower than the polynomial basis algorithms. The exact location of $y$ depends on several key architectural elements of the computer platform in question. \begin{enumerate} \item The ratio of clock cycles for single precision multiplication versus other simpler operations such as addition, shifting, etc. For example on the AMD Athlon the ratio is roughly $17 : 1$ while on the Intel P4 it is $29 : 1$. The higher the ratio in favour of multiplication the lower -the cutoff point $y$ will be. +the cutoff point $y$ will be. \item The complexity of the linear system of equations (\textit{for the coefficients of $W(x)$}) is. Generally speaking as the number of splits grows the complexity grows substantially. Ideally solving the system will only involve addition, subtraction and shifting of integers. This @@ -2766,11 +2755,11 @@ influence over the cutoff point. A clean cutoff point separation occurs when a point $y$ is found such that all of the cutoff point conditions are met. For example, if the point is too low then there will be values of $m$ such that $m > y$ and the Comba method is still faster. Finding the cutoff points is fairly simple when -a high resolution timer is available. +a high resolution timer is available. \subsection{Karatsuba Multiplication} Karatsuba \cite{KARA} multiplication when originally proposed in 1962 was among the first set of algorithms to break the $O(n^2)$ barrier for -general purpose multiplication. Given two polynomial basis representations $f(x) = ax + b$ and $g(x) = cx + d$, Karatsuba proved with +general purpose multiplication. Given two polynomial basis representations $f(x) = ax + b$ and $g(x) = cx + d$, Karatsuba proved with light algebra \cite{KARAP} that the following polynomial is equivalent to multiplication of the two integers the polynomials represent. \begin{equation} @@ -2778,8 +2767,8 @@ f(x) \cdot g(x) = acx^2 + ((a + b)(c + d) - (ac + bd))x + bd \end{equation} Using the observation that $ac$ and $bd$ could be re-used only three half sized multiplications would be required to produce the product. Applying -this algorithm recursively, the work factor becomes $O(n^{lg(3)})$ which is substantially better than the work factor $O(n^2)$ of the Comba technique. It turns -out what Karatsuba did not know or at least did not publish was that this is simply polynomial basis multiplication with the points +this algorithm recursively, the work factor becomes $O(n^{lg(3)})$ which is substantially better than the work factor $O(n^2)$ of the Comba technique. It turns +out what Karatsuba did not know or at least did not publish was that this is simply polynomial basis multiplication with the points $\zeta_0$, $\zeta_{\infty}$ and $\zeta_{1}$. Consider the resultant system of equations. \begin{center} @@ -2792,7 +2781,7 @@ $\zeta_{\infty}$ & $=$ & $w_2$ & & & & \\ By adding the first and last equation to the equation in the middle the term $w_1$ can be isolated and all three coefficients solved for. The simplicity of this system of equations has made Karatsuba fairly popular. In fact the cutoff point is often fairly low\footnote{With LibTomMath 0.18 it is 70 and 109 digits for the Intel P4 and AMD Athlon respectively.} -making it an ideal algorithm to speed up certain public key cryptosystems such as RSA and Diffie-Hellman. +making it an ideal algorithm to speed up certain public key cryptosystems such as RSA and Diffie-Hellman. \newpage\begin{figure}[!here] \begin{small} @@ -2830,7 +2819,7 @@ Calculate the final product. \\ 18. $c \leftarrow t1 + x1y1$ \\ 19. Clear all of the temporary variables. \\ 20. Return(\textit{MP\_OKAY}).\\ -\hline +\hline \end{tabular} \end{center} \end{small} @@ -2839,13 +2828,13 @@ Calculate the final product. \\ \textbf{Algorithm mp\_karatsuba\_mul.} This algorithm computes the unsigned product of two inputs using the Karatsuba multiplication algorithm. It is loosely based on the description -from Knuth \cite[pp. 294-295]{TAOCPV2}. +from Knuth \cite[pp. 294-295]{TAOCPV2}. \index{radix point} In order to split the two inputs into their respective halves, a suitable \textit{radix point} must be chosen. The radix point chosen must -be used for both of the inputs meaning that it must be smaller than the smallest input. Step 3 chooses the radix point $B$ as half of the -smallest input \textbf{used} count. After the radix point is chosen the inputs are split into lower and upper halves. Step 4 and 5 -compute the lower halves. Step 6 and 7 computer the upper halves. +be used for both of the inputs meaning that it must be smaller than the smallest input. Step 3 chooses the radix point $B$ as half of the +smallest input \textbf{used} count. After the radix point is chosen the inputs are split into lower and upper halves. Step 4 and 5 +compute the lower halves. Step 6 and 7 computer the upper halves. After the halves have been computed the three intermediate half-size products must be computed. Step 8 and 9 compute the trivial products $x0 \cdot y0$ and $x1 \cdot y1$. The mp\_int $x0$ is used as a temporary variable after $x1 + x0$ has been computed. By using $x0$ instead @@ -2857,29 +2846,29 @@ EXAM,bn_mp_karatsuba_mul.c The new coding element in this routine, not seen in previous routines, is the usage of goto statements. The conventional wisdom is that goto statements should be avoided. This is generally true, however when every single function call can fail, it makes sense -to handle error recovery with a single piece of code. Lines @61,if@ to @75,if@ handle initializing all of the temporary variables +to handle error recovery with a single piece of code. Lines @61,if@ to @75,if@ handle initializing all of the temporary variables required. Note how each of the if statements goes to a different label in case of failure. This allows the routine to correctly free only the temporaries that have been successfully allocated so far. -The temporary variables are all initialized using the mp\_init\_size routine since they are expected to be large. This saves the +The temporary variables are all initialized using the mp\_init\_size routine since they are expected to be large. This saves the additional reallocation that would have been necessary. Also $x0$, $x1$, $y0$ and $y1$ have to be able to hold at least their respective number of digits for the next section of code. The first algebraic portion of the algorithm is to split the two inputs into their halves. However, instead of using mp\_mod\_2d and mp\_rshd -to extract the halves, the respective code has been placed inline within the body of the function. To initialize the halves, the \textbf{used} and -\textbf{sign} members are copied first. The first for loop on line @98,for@ copies the lower halves. Since they are both the same magnitude it -is simpler to calculate both lower halves in a single loop. The for loop on lines @104,for@ and @109,for@ calculate the upper halves $x1$ and +to extract the halves, the respective code has been placed inline within the body of the function. To initialize the halves, the \textbf{used} and +\textbf{sign} members are copied first. The first for loop on line @98,for@ copies the lower halves. Since they are both the same magnitude it +is simpler to calculate both lower halves in a single loop. The for loop on lines @104,for@ and @109,for@ calculate the upper halves $x1$ and $y1$ respectively. By inlining the calculation of the halves, the Karatsuba multiplier has a slightly lower overhead and can be used for smaller magnitude inputs. When line @152,err@ is reached, the algorithm has completed succesfully. The ``error status'' variable $err$ is set to \textbf{MP\_OKAY} so that -the same code that handles errors can be used to clear the temporary variables and return. +the same code that handles errors can be used to clear the temporary variables and return. \subsection{Toom-Cook $3$-Way Multiplication} -Toom-Cook $3$-Way \cite{TOOM} multiplication is essentially the polynomial basis algorithm for $n = 2$ except that the points are -chosen such that $\zeta$ is easy to compute and the resulting system of equations easy to reduce. Here, the points $\zeta_{0}$, -$16 \cdot \zeta_{1 \over 2}$, $\zeta_1$, $\zeta_2$ and $\zeta_{\infty}$ make up the five required points to solve for the coefficients +Toom-Cook $3$-Way \cite{TOOM} multiplication is essentially the polynomial basis algorithm for $n = 2$ except that the points are +chosen such that $\zeta$ is easy to compute and the resulting system of equations easy to reduce. Here, the points $\zeta_{0}$, +$16 \cdot \zeta_{1 \over 2}$, $\zeta_1$, $\zeta_2$ and $\zeta_{\infty}$ make up the five required points to solve for the coefficients of the $W(x)$. With the five relations that Toom-Cook specifies, the following system of equations is formed. @@ -2897,7 +2886,7 @@ $\zeta_{\infty}$ & $=$ & $1w_4$ & $+$ & $0w_3$ & $+$ & $0w_2$ & $+$ A trivial solution to this matrix requires $12$ subtractions, two multiplications by a small power of two, two divisions by a small power of two, two divisions by three and one multiplication by three. All of these $19$ sub-operations require less than quadratic time, meaning that the algorithm can be faster than a baseline multiplication. However, the greater complexity of this algorithm places the cutoff point -(\textbf{TOOM\_MUL\_CUTOFF}) where Toom-Cook becomes more efficient much higher than the Karatsuba cutoff point. +(\textbf{TOOM\_MUL\_CUTOFF}) where Toom-Cook becomes more efficient much higher than the Karatsuba cutoff point. \begin{figure}[!here] \begin{small} @@ -2967,7 +2956,7 @@ Now substitute $\beta^k$ for $x$ by shifting $w_0, w_1, ..., w_4$. \\ \end{figure} \textbf{Algorithm mp\_toom\_mul.} -This algorithm computes the product of two mp\_int variables $a$ and $b$ using the Toom-Cook approach. Compared to the Karatsuba multiplication, this +This algorithm computes the product of two mp\_int variables $a$ and $b$ using the Toom-Cook approach. Compared to the Karatsuba multiplication, this algorithm has a lower asymptotic running time of approximately $O(n^{1.464})$ but at an obvious cost in overhead. In this description, several statements have been compounded to save space. The intention is that the statements are executed from left to right across any given step. @@ -2979,34 +2968,34 @@ The first two relations $w_0$ and $w_4$ are the points $\zeta_{0}$ and $\zeta_{\ to the points $16 \cdot \zeta_{1 \over 2}, \zeta_{2}$ and $\zeta_{1}$ respectively. These are found using logical shifts to independently find $f(y)$ and $g(y)$ which significantly speeds up the algorithm. -After the five relations $w_0, w_1, \ldots, w_4$ have been computed, the system they represent must be solved in order for the unknown coefficients +After the five relations $w_0, w_1, \ldots, w_4$ have been computed, the system they represent must be solved in order for the unknown coefficients $w_1, w_2$ and $w_3$ to be isolated. The steps 18 through 25 perform the system reduction required as previously described. Each step of the reduction represents the comparable matrix operation that would be performed had this been performed by pencil. For example, step 18 indicates -that row $1$ must be subtracted from row $4$ and simultaneously row $0$ subtracted from row $3$. +that row $1$ must be subtracted from row $4$ and simultaneously row $0$ subtracted from row $3$. -Once the coeffients have been isolated, the polynomial $W(x) = \sum_{i=0}^{2n} w_i x^i$ is known. By substituting $\beta^{k}$ for $x$, the integer +Once the coeffients have been isolated, the polynomial $W(x) = \sum_{i=0}^{2n} w_i x^i$ is known. By substituting $\beta^{k}$ for $x$, the integer result $a \cdot b$ is produced. EXAM,bn_mp_toom_mul.c -The first obvious thing to note is that this algorithm is complicated. The complexity is worth it if you are multiplying very +The first obvious thing to note is that this algorithm is complicated. The complexity is worth it if you are multiplying very large numbers. For example, a 10,000 digit multiplication takes approximaly 99,282,205 fewer single precision multiplications with Toom--Cook than a Comba or baseline approach (this is a savings of more than 99$\%$). For most ``crypto'' sized numbers this algorithm is not practical as Karatsuba has a much lower cutoff point. -First we split $a$ and $b$ into three roughly equal portions. This has been accomplished (lines @40,mod@ to @69,rshd@) with +First we split $a$ and $b$ into three roughly equal portions. This has been accomplished (lines @40,mod@ to @69,rshd@) with combinations of mp\_rshd() and mp\_mod\_2d() function calls. At this point $a = a2 \cdot \beta^2 + a1 \cdot \beta + a0$ and similiarly -for $b$. +for $b$. Next we compute the five points $w0, w1, w2, w3$ and $w4$. Recall that $w0$ and $w4$ can be computed directly from the portions so we get those out of the way first (lines @72,mul@ and @77,mul@). Next we compute $w1, w2$ and $w3$ using Horners method. After this point we solve for the actual values of $w1, w2$ and $w3$ by reducing the $5 \times 5$ system which is relatively -straight forward. +straight forward. \subsection{Signed Multiplication} Now that algorithms to handle multiplications of every useful dimensions have been developed, a rather simple finishing touch is required. So far all -of the multiplication algorithms have been unsigned multiplications which leaves only a signed multiplication algorithm to be established. +of the multiplication algorithms have been unsigned multiplications which leaves only a signed multiplication algorithm to be established. \begin{figure}[!here] \begin{small} @@ -3040,24 +3029,24 @@ of the multiplication algorithms have been unsigned multiplications which leaves \end{figure} \textbf{Algorithm mp\_mul.} -This algorithm performs the signed multiplication of two inputs. It will make use of any of the three unsigned multiplication algorithms +This algorithm performs the signed multiplication of two inputs. It will make use of any of the three unsigned multiplication algorithms available when the input is of appropriate size. The \textbf{sign} of the result is not set until the end of the algorithm since algorithm -s\_mp\_mul\_digs will clear it. +s\_mp\_mul\_digs will clear it. EXAM,bn_mp_mul.c -The implementation is rather simplistic and is not particularly noteworthy. Line @22,?@ computes the sign of the result using the ``?'' -operator from the C programming language. Line @37,<<@ computes $\delta$ using the fact that $1 << k$ is equal to $2^k$. +The implementation is rather simplistic and is not particularly noteworthy. Line @22,?@ computes the sign of the result using the ``?'' +operator from the C programming language. Line @37,<<@ computes $\delta$ using the fact that $1 << k$ is equal to $2^k$. \section{Squaring} \label{sec:basesquare} Squaring is a special case of multiplication where both multiplicands are equal. At first it may seem like there is no significant optimization available but in fact there is. Consider the multiplication of $576$ against $241$. In total there will be nine single precision multiplications -performed which are $1\cdot 6$, $1 \cdot 7$, $1 \cdot 5$, $4 \cdot 6$, $4 \cdot 7$, $4 \cdot 5$, $2 \cdot 6$, $2 \cdot 7$ and $2 \cdot 5$. Now consider -the multiplication of $123$ against $123$. The nine products are $3 \cdot 3$, $3 \cdot 2$, $3 \cdot 1$, $2 \cdot 3$, $2 \cdot 2$, $2 \cdot 1$, -$1 \cdot 3$, $1 \cdot 2$ and $1 \cdot 1$. On closer inspection some of the products are equivalent. For example, $3 \cdot 2 = 2 \cdot 3$ -and $3 \cdot 1 = 1 \cdot 3$. +performed which are $1\cdot 6$, $1 \cdot 7$, $1 \cdot 5$, $4 \cdot 6$, $4 \cdot 7$, $4 \cdot 5$, $2 \cdot 6$, $2 \cdot 7$ and $2 \cdot 5$. Now consider +the multiplication of $123$ against $123$. The nine products are $3 \cdot 3$, $3 \cdot 2$, $3 \cdot 1$, $2 \cdot 3$, $2 \cdot 2$, $2 \cdot 1$, +$1 \cdot 3$, $1 \cdot 2$ and $1 \cdot 1$. On closer inspection some of the products are equivalent. For example, $3 \cdot 2 = 2 \cdot 3$ +and $3 \cdot 1 = 1 \cdot 3$. For any $n$-digit input, there are ${{\left (n^2 + n \right)}\over 2}$ possible unique single precision multiplications required compared to the $n^2$ required for multiplication. The following diagram gives an example of the operations required. @@ -3077,19 +3066,19 @@ $\times$ &&1&2&3&\\ MARK,SQUARE Starting from zero and numbering the columns from right to left a very simple pattern becomes obvious. For the purposes of this discussion let $x$ -represent the number being squared. The first observation is that in row $k$ the $2k$'th column of the product has a $\left (x_k \right)^2$ term in it. +represent the number being squared. The first observation is that in row $k$ the $2k$'th column of the product has a $\left (x_k \right)^2$ term in it. The second observation is that every column $j$ in row $k$ where $j \ne 2k$ is part of a double product. Every non-square term of a column will -appear twice hence the name ``double product''. Every odd column is made up entirely of double products. In fact every column is made up of double -products and at most one square (\textit{see the exercise section}). +appear twice hence the name ``double product''. Every odd column is made up entirely of double products. In fact every column is made up of double +products and at most one square (\textit{see the exercise section}). -The third and final observation is that for row $k$ the first unique non-square term, that is, one that hasn't already appeared in an earlier row, -occurs at column $2k + 1$. For example, on row $1$ of the previous squaring, column one is part of the double product with column one from row zero. +The third and final observation is that for row $k$ the first unique non-square term, that is, one that hasn't already appeared in an earlier row, +occurs at column $2k + 1$. For example, on row $1$ of the previous squaring, column one is part of the double product with column one from row zero. Column two of row one is a square and column three is the first unique column. \subsection{The Baseline Squaring Algorithm} The baseline squaring algorithm is meant to be a catch-all squaring algorithm. It will handle any of the input sizes that the faster routines -will not handle. +will not handle. \begin{figure}[!here] \begin{small} @@ -3131,30 +3120,30 @@ will not handle. \textbf{Algorithm s\_mp\_sqr.} This algorithm computes the square of an input using the three observations on squaring. It is based fairly faithfully on algorithm 14.16 of HAC -\cite[pp.596-597]{HAC}. Similar to algorithm s\_mp\_mul\_digs, a temporary mp\_int is allocated to hold the result of the squaring. This allows the +\cite[pp.596-597]{HAC}. Similar to algorithm s\_mp\_mul\_digs, a temporary mp\_int is allocated to hold the result of the squaring. This allows the destination mp\_int to be the same as the source mp\_int. The outer loop of this algorithm begins on step 4. It is best to think of the outer loop as walking down the rows of the partial results, while the inner loop computes the columns of the partial result. Step 4.1 and 4.2 compute the square term for each row, and step 4.3 and 4.4 propagate -the carry and compute the double products. +the carry and compute the double products. The requirement that a mp\_word be able to represent the range $0 \le x < 2 \beta^2$ arises from this very algorithm. The product $a_{ix}a_{iy}$ will lie in the range $0 \le x \le \beta^2 - 2\beta + 1$ which is obviously less than $\beta^2$ meaning that when it is multiplied by two, it can be properly represented by a mp\_word. -Similar to algorithm s\_mp\_mul\_digs, after every pass of the inner loop, the destination is correctly set to the sum of all of the partial -results calculated so far. This involves expensive carry propagation which will be eliminated in the next algorithm. +Similar to algorithm s\_mp\_mul\_digs, after every pass of the inner loop, the destination is correctly set to the sum of all of the partial +results calculated so far. This involves expensive carry propagation which will be eliminated in the next algorithm. EXAM,bn_s_mp_sqr.c Inside the outer loop (line @32,for@) the square term is calculated on line @35,r =@. The carry (line @42,>>@) has been -extracted from the mp\_word accumulator using a right shift. Aliases for $a_{ix}$ and $t_{ix+iy}$ are initialized +extracted from the mp\_word accumulator using a right shift. Aliases for $a_{ix}$ and $t_{ix+iy}$ are initialized (lines @45,tmpx@ and @48,tmpt@) to simplify the inner loop. The doubling is performed using two -additions (line @57,r + r@) since it is usually faster than shifting, if not at least as fast. +additions (line @57,r + r@) since it is usually faster than shifting, if not at least as fast. The important observation is that the inner loop does not begin at $iy = 0$ like for multiplication. As such the inner loops get progressively shorter as the algorithm proceeds. This is what leads to the savings compared to using a multiplication to -square a number. +square a number. \subsection{Faster Squaring by the ``Comba'' Method} A major drawback to the baseline method is the requirement for single precision shifting inside the $O(n^2)$ nested loop. Squaring has an additional @@ -3164,10 +3153,10 @@ performance hazards. The first obvious solution is to make an array of mp\_words which will hold all of the columns. This will indeed eliminate all of the carry propagation operations from the inner loop. However, the inner product must still be doubled $O(n^2)$ times. The solution stems from the simple fact that $2a + 2b + 2c = 2(a + b + c)$. That is the sum of all of the double products is equal to double the sum of all the products. For example, -$ab + ba + ac + ca = 2ab + 2ac = 2(ab + ac)$. +$ab + ba + ac + ca = 2ab + 2ac = 2(ab + ac)$. -However, we cannot simply double all of the columns, since the squares appear only once per row. The most practical solution is to have two -mp\_word arrays. One array will hold the squares and the other array will hold the double products. With both arrays the doubling and +However, we cannot simply double all of the columns, since the squares appear only once per row. The most practical solution is to have two +mp\_word arrays. One array will hold the squares and the other array will hold the double products. With both arrays the doubling and carry propagation can be moved to a $O(n)$ work level outside the $O(n^2)$ level. In this case, we have an even simpler solution in mind. \newpage\begin{figure}[!here] @@ -3205,7 +3194,7 @@ Place an array of \textbf{MP\_WARRAY} mp\_digits named $W$ on the stack. \\ 9. for $ix$ from $pa$ to $oldused - 1$ do \\ \hspace{3mm}9.1 $b_{ix} \leftarrow 0$ \\ 10. Clamp excess digits from $b$. (\textit{mp\_clamp}) \\ -11. Return(\textit{MP\_OKAY}). \\ +11. Return(\textit{MP\_OKAY}). \\ \hline \end{tabular} \end{center} @@ -3214,8 +3203,8 @@ Place an array of \textbf{MP\_WARRAY} mp\_digits named $W$ on the stack. \\ \end{figure} \textbf{Algorithm fast\_s\_mp\_sqr.} -This algorithm computes the square of an input using the Comba technique. It is designed to be a replacement for algorithm -s\_mp\_sqr when the number of input digits is less than \textbf{MP\_WARRAY} and less than $\delta \over 2$. +This algorithm computes the square of an input using the Comba technique. It is designed to be a replacement for algorithm +s\_mp\_sqr when the number of input digits is less than \textbf{MP\_WARRAY} and less than $\delta \over 2$. This algorithm is very similar to the Comba multiplier except with a few key differences we shall make note of. First, we have an accumulator and carry variables $\_ \hat W$ and $\hat W1$ respectively. This is because the inner loop @@ -3230,35 +3219,35 @@ only to even outputs and it is the square of the term at the $\lfloor ix / 2 \rf EXAM,bn_fast_s_mp_sqr.c -This implementation is essentially a copy of Comba multiplication with the appropriate changes added to make it faster for -the special case of squaring. +This implementation is essentially a copy of Comba multiplication with the appropriate changes added to make it faster for +the special case of squaring. \subsection{Polynomial Basis Squaring} The same algorithm that performs optimal polynomial basis multiplication can be used to perform polynomial basis squaring. The minor exception is that $\zeta_y = f(y)g(y)$ is actually equivalent to $\zeta_y = f(y)^2$ since $f(y) = g(y)$. Instead of performing $2n + 1$ -multiplications to find the $\zeta$ relations, squaring operations are performed instead. +multiplications to find the $\zeta$ relations, squaring operations are performed instead. \subsection{Karatsuba Squaring} -Let $f(x) = ax + b$ represent the polynomial basis representation of a number to square. -Let $h(x) = \left ( f(x) \right )^2$ represent the square of the polynomial. The Karatsuba equation can be modified to square a +Let $f(x) = ax + b$ represent the polynomial basis representation of a number to square. +Let $h(x) = \left ( f(x) \right )^2$ represent the square of the polynomial. The Karatsuba equation can be modified to square a number with the following equation. \begin{equation} h(x) = a^2x^2 + \left ((a + b)^2 - (a^2 + b^2) \right )x + b^2 \end{equation} -Upon closer inspection this equation only requires the calculation of three half-sized squares: $a^2$, $b^2$ and $(a + b)^2$. As in -Karatsuba multiplication, this algorithm can be applied recursively on the input and will achieve an asymptotic running time of +Upon closer inspection this equation only requires the calculation of three half-sized squares: $a^2$, $b^2$ and $(a + b)^2$. As in +Karatsuba multiplication, this algorithm can be applied recursively on the input and will achieve an asymptotic running time of $O \left ( n^{lg(3)} \right )$. -If the asymptotic times of Karatsuba squaring and multiplication are the same, why not simply use the multiplication algorithm -instead? The answer to this arises from the cutoff point for squaring. As in multiplication there exists a cutoff point, at which the -time required for a Comba based squaring and a Karatsuba based squaring meet. Due to the overhead inherent in the Karatsuba method, the cutoff -point is fairly high. For example, on an AMD Athlon XP processor with $\beta = 2^{28}$, the cutoff point is around 127 digits. +If the asymptotic times of Karatsuba squaring and multiplication are the same, why not simply use the multiplication algorithm +instead? The answer to this arises from the cutoff point for squaring. As in multiplication there exists a cutoff point, at which the +time required for a Comba based squaring and a Karatsuba based squaring meet. Due to the overhead inherent in the Karatsuba method, the cutoff +point is fairly high. For example, on an AMD Athlon XP processor with $\beta = 2^{28}$, the cutoff point is around 127 digits. -Consider squaring a 200 digit number with this technique. It will be split into two 100 digit halves which are subsequently squared. +Consider squaring a 200 digit number with this technique. It will be split into two 100 digit halves which are subsequently squared. The 100 digit halves will not be squared using Karatsuba, but instead using the faster Comba based squaring algorithm. If Karatsuba multiplication -were used instead, the 100 digit numbers would be squared with a slower Comba based multiplication. +were used instead, the 100 digit numbers would be squared with a slower Comba based multiplication. \newpage\begin{figure}[!here] \begin{small} @@ -3312,7 +3301,7 @@ Now if $5n$ single precision additions and a squaring of $n$-digits is faster th this method is faster. Assuming no further recursions occur, the difference can be estimated with the following inequality. Let $p$ represent the cost of a single precision addition and $q$ the cost of a single precision multiplication both in terms of time\footnote{Or -machine clock cycles.}. +machine clock cycles.}. \begin{equation} 5pn +{{q(n^2 + n)} \over 2} \le pn + qn^2 @@ -3330,27 +3319,27 @@ ${13 \over 9}$ & $<$ & $n$ \\ This results in a cutoff point around $n = 2$. As a consequence it is actually faster to compute the middle term the ``long way'' on processors where multiplication is substantially slower\footnote{On the Athlon there is a 1:17 ratio between clock cycles for addition and multiplication. On the Intel P4 processor this ratio is 1:29 making this method even more beneficial. The only common exception is the ARMv4 processor which has a -ratio of 1:7. } than simpler operations such as addition. +ratio of 1:7. } than simpler operations such as addition. EXAM,bn_mp_karatsuba_sqr.c -This implementation is largely based on the implementation of algorithm mp\_karatsuba\_mul. It uses the same inline style to copy and +This implementation is largely based on the implementation of algorithm mp\_karatsuba\_mul. It uses the same inline style to copy and shift the input into the two halves. The loop from line @54,{@ to line @70,}@ has been modified since only one input exists. The \textbf{used} count of both $x0$ and $x1$ is fixed up and $x0$ is clamped before the calculations begin. At this point $x1$ and $x0$ are valid equivalents -to the respective halves as if mp\_rshd and mp\_mod\_2d had been used. +to the respective halves as if mp\_rshd and mp\_mod\_2d had been used. By inlining the copy and shift operations the cutoff point for Karatsuba multiplication can be lowered. On the Athlon the cutoff point is exactly at the point where Comba squaring can no longer be used (\textit{128 digits}). On slower processors such as the Intel P4 it is actually below the Comba limit (\textit{at 110 digits}). -This routine uses the same error trap coding style as mp\_karatsuba\_sqr. As the temporary variables are initialized errors are -redirected to the error trap higher up. If the algorithm completes without error the error code is set to \textbf{MP\_OKAY} and +This routine uses the same error trap coding style as mp\_karatsuba\_sqr. As the temporary variables are initialized errors are +redirected to the error trap higher up. If the algorithm completes without error the error code is set to \textbf{MP\_OKAY} and mp\_clears are executed normally. \subsection{Toom-Cook Squaring} The Toom-Cook squaring algorithm mp\_toom\_sqr is heavily based on the algorithm mp\_toom\_mul with the exception that squarings are used -instead of multiplication to find the five relations. The reader is encouraged to read the description of the latter algorithm and try to -derive their own Toom-Cook squaring algorithm. +instead of multiplication to find the five relations. The reader is encouraged to read the description of the latter algorithm and try to +derive their own Toom-Cook squaring algorithm. \subsection{High Level Squaring} \newpage\begin{figure}[!here] @@ -3383,7 +3372,7 @@ derive their own Toom-Cook squaring algorithm. \textbf{Algorithm mp\_sqr.} This algorithm computes the square of the input using one of four different algorithms. If the input is very large and has at least \textbf{TOOM\_SQR\_CUTOFF} or \textbf{KARATSUBA\_SQR\_CUTOFF} digits then either the Toom-Cook or the Karatsuba Squaring algorithm is used. If -neither of the polynomial basis algorithms should be used then either the Comba or baseline algorithm is used. +neither of the polynomial basis algorithms should be used then either the Comba or baseline algorithm is used. EXAM,bn_mp_sqr.c @@ -3394,11 +3383,11 @@ $\left [ 3 \right ] $ & Devise an efficient algorithm for selection of the radix & \\ $\left [ 2 \right ] $ & In ~SQUARE~ the fact that every column of a squaring is made up \\ & of double products and at most one square is stated. Prove this statement. \\ - & \\ + & \\ $\left [ 3 \right ] $ & Prove the equation for Karatsuba squaring. \\ & \\ $\left [ 1 \right ] $ & Prove that Karatsuba squaring requires $O \left (n^{lg(3)} \right )$ time. \\ - & \\ + & \\ $\left [ 2 \right ] $ & Determine the minimal ratio between addition and multiplication clock cycles \\ & required for equation $6.7$ to be true. \\ & \\ @@ -3416,61 +3405,61 @@ $\left [ 4 \right ] $ & Same as the previous but also modify the Karatsuba and T MARK,REDUCTION \section{Basics of Modular Reduction} \index{modular residue} -Modular reduction is an operation that arises quite often within public key cryptography algorithms and various number theoretic algorithms, +Modular reduction is an operation that arises quite often within public key cryptography algorithms and various number theoretic algorithms, such as factoring. Modular reduction algorithms are the third class of algorithms of the ``multipliers'' set. A number $a$ is said to be \textit{reduced} -modulo another number $b$ by finding the remainder of the division $a/b$. Full integer division with remainder is a topic to be covered +modulo another number $b$ by finding the remainder of the division $a/b$. Full integer division with remainder is a topic to be covered in~\ref{sec:division}. -Modular reduction is equivalent to solving for $r$ in the following equation. $a = bq + r$ where $q = \lfloor a/b \rfloor$. The result -$r$ is said to be ``congruent to $a$ modulo $b$'' which is also written as $r \equiv a \mbox{ (mod }b\mbox{)}$. In other vernacular $r$ is known as the +Modular reduction is equivalent to solving for $r$ in the following equation. $a = bq + r$ where $q = \lfloor a/b \rfloor$. The result +$r$ is said to be ``congruent to $a$ modulo $b$'' which is also written as $r \equiv a \mbox{ (mod }b\mbox{)}$. In other vernacular $r$ is known as the ``modular residue'' which leads to ``quadratic residue''\footnote{That's fancy talk for $b \equiv a^2 \mbox{ (mod }p\mbox{)}$.} and -other forms of residues. +other forms of residues. -Modular reductions are normally used to create either finite groups, rings or fields. The most common usage for performance driven modular reductions -is in modular exponentiation algorithms. That is to compute $d = a^b \mbox{ (mod }c\mbox{)}$ as fast as possible. This operation is used in the -RSA and Diffie-Hellman public key algorithms, for example. Modular multiplication and squaring also appears as a fundamental operation in -elliptic curve cryptographic algorithms. As will be discussed in the subsequent chapter there exist fast algorithms for computing modular -exponentiations without having to perform (\textit{in this example}) $b - 1$ multiplications. These algorithms will produce partial results in the -range $0 \le x < c^2$ which can be taken advantage of to create several efficient algorithms. They have also been used to create redundancy check -algorithms known as CRCs, error correction codes such as Reed-Solomon and solve a variety of number theoeretic problems. +Modular reductions are normally used to create either finite groups, rings or fields. The most common usage for performance driven modular reductions +is in modular exponentiation algorithms. That is to compute $d = a^b \mbox{ (mod }c\mbox{)}$ as fast as possible. This operation is used in the +RSA and Diffie-Hellman public key algorithms, for example. Modular multiplication and squaring also appears as a fundamental operation in +elliptic curve cryptographic algorithms. As will be discussed in the subsequent chapter there exist fast algorithms for computing modular +exponentiations without having to perform (\textit{in this example}) $b - 1$ multiplications. These algorithms will produce partial results in the +range $0 \le x < c^2$ which can be taken advantage of to create several efficient algorithms. They have also been used to create redundancy check +algorithms known as CRCs, error correction codes such as Reed-Solomon and solve a variety of number theoeretic problems. \section{The Barrett Reduction} The Barrett reduction algorithm \cite{BARRETT} was inspired by fast division algorithms which multiply by the reciprocal to emulate -division. Barretts observation was that the residue $c$ of $a$ modulo $b$ is equal to +division. Barretts observation was that the residue $c$ of $a$ modulo $b$ is equal to \begin{equation} c = a - b \cdot \lfloor a/b \rfloor \end{equation} -Since algorithms such as modular exponentiation would be using the same modulus extensively, typical DSP\footnote{It is worth noting that Barrett's paper -targeted the DSP56K processor.} intuition would indicate the next step would be to replace $a/b$ by a multiplication by the reciprocal. However, -DSP intuition on its own will not work as these numbers are considerably larger than the precision of common DSP floating point data types. +Since algorithms such as modular exponentiation would be using the same modulus extensively, typical DSP\footnote{It is worth noting that Barrett's paper +targeted the DSP56K processor.} intuition would indicate the next step would be to replace $a/b$ by a multiplication by the reciprocal. However, +DSP intuition on its own will not work as these numbers are considerably larger than the precision of common DSP floating point data types. It would take another common optimization to optimize the algorithm. \subsection{Fixed Point Arithmetic} The trick used to optimize the above equation is based on a technique of emulating floating point data types with fixed precision integers. Fixed -point arithmetic would become very popular as it greatly optimize the ``3d-shooter'' genre of games in the mid 1990s when floating point units were -fairly slow if not unavailable. The idea behind fixed point arithmetic is to take a normal $k$-bit integer data type and break it into $p$-bit -integer and a $q$-bit fraction part (\textit{where $p+q = k$}). +point arithmetic would become very popular as it greatly optimize the ``3d-shooter'' genre of games in the mid 1990s when floating point units were +fairly slow if not unavailable. The idea behind fixed point arithmetic is to take a normal $k$-bit integer data type and break it into $p$-bit +integer and a $q$-bit fraction part (\textit{where $p+q = k$}). In this system a $k$-bit integer $n$ would actually represent $n/2^q$. For example, with $q = 4$ the integer $n = 37$ would actually represent the -value $2.3125$. To multiply two fixed point numbers the integers are multiplied using traditional arithmetic and subsequently normalized by -moving the implied decimal point back to where it should be. For example, with $q = 4$ to multiply the integers $9$ and $5$ they must be converted -to fixed point first by multiplying by $2^q$. Let $a = 9(2^q)$ represent the fixed point representation of $9$ and $b = 5(2^q)$ represent the -fixed point representation of $5$. The product $ab$ is equal to $45(2^{2q})$ which when normalized by dividing by $2^q$ produces $45(2^q)$. +value $2.3125$. To multiply two fixed point numbers the integers are multiplied using traditional arithmetic and subsequently normalized by +moving the implied decimal point back to where it should be. For example, with $q = 4$ to multiply the integers $9$ and $5$ they must be converted +to fixed point first by multiplying by $2^q$. Let $a = 9(2^q)$ represent the fixed point representation of $9$ and $b = 5(2^q)$ represent the +fixed point representation of $5$. The product $ab$ is equal to $45(2^{2q})$ which when normalized by dividing by $2^q$ produces $45(2^q)$. This technique became popular since a normal integer multiplication and logical shift right are the only required operations to perform a multiplication -of two fixed point numbers. Using fixed point arithmetic, division can be easily approximated by multiplying by the reciprocal. If $2^q$ is -equivalent to one than $2^q/b$ is equivalent to the fixed point approximation of $1/b$ using real arithmetic. Using this fact dividing an integer +of two fixed point numbers. Using fixed point arithmetic, division can be easily approximated by multiplying by the reciprocal. If $2^q$ is +equivalent to one than $2^q/b$ is equivalent to the fixed point approximation of $1/b$ using real arithmetic. Using this fact dividing an integer $a$ by another integer $b$ can be achieved with the following expression. \begin{equation} \lfloor a / b \rfloor \mbox{ }\approx\mbox{ } \lfloor (a \cdot \lfloor 2^q / b \rfloor)/2^q \rfloor \end{equation} -The precision of the division is proportional to the value of $q$. If the divisor $b$ is used frequently as is the case with +The precision of the division is proportional to the value of $q$. If the divisor $b$ is used frequently as is the case with modular exponentiation pre-computing $2^q/b$ will allow a division to be performed with a multiplication and a right shift. Both operations -are considerably faster than division on most processors. +are considerably faster than division on most processors. Consider dividing $19$ by $5$. The correct result is $\lfloor 19/5 \rfloor = 3$. With $q = 3$ the reciprocal is $\lfloor 2^q/5 \rfloor = 1$ which leads to a product of $19$ which when divided by $2^q$ produces $2$. However, with $q = 4$ the reciprocal is $\lfloor 2^q/5 \rfloor = 3$ and @@ -3491,11 +3480,11 @@ c = a - b \cdot \lfloor (a \cdot \mu)/2^q \rfloor Provided that $2^q \ge a$ this algorithm will produce a quotient that is either exactly correct or off by a value of one. In the context of Barrett reduction the value of $a$ is bound by $0 \le a \le (b - 1)^2$ meaning that $2^q \ge b^2$ is sufficient to ensure the reciprocal will have enough -precision. +precision. -Let $n$ represent the number of digits in $b$. This algorithm requires approximately $2n^2$ single precision multiplications to produce the quotient and -another $n^2$ single precision multiplications to find the residue. In total $3n^2$ single precision multiplications are required to -reduce the number. +Let $n$ represent the number of digits in $b$. This algorithm requires approximately $2n^2$ single precision multiplications to produce the quotient and +another $n^2$ single precision multiplications to find the residue. In total $3n^2$ single precision multiplications are required to +reduce the number. For example, if $b = 1179677$ and $q = 41$ ($2^q > b^2$), then the reciprocal $\mu$ is equal to $\lfloor 2^q / b \rfloor = 1864089$. Consider reducing $a = 180388626447$ modulo $b$ using the above reduction equation. The quotient using the new formula is $\lfloor (a \cdot \mu) / 2^q \rfloor = 152913$. @@ -3503,19 +3492,19 @@ By subtracting $152913b$ from $a$ the correct residue $a \equiv 677346 \mbox{ (m \subsection{Choosing a Radix Point} Using the fixed point representation a modular reduction can be performed with $3n^2$ single precision multiplications. If that were the best -that could be achieved a full division\footnote{A division requires approximately $O(2cn^2)$ single precision multiplications for a small value of $c$. +that could be achieved a full division\footnote{A division requires approximately $O(2cn^2)$ single precision multiplications for a small value of $c$. See~\ref{sec:division} for further details.} might as well be used in its place. The key to optimizing the reduction is to reduce the precision of -the initial multiplication that finds the quotient. +the initial multiplication that finds the quotient. Let $a$ represent the number of which the residue is sought. Let $b$ represent the modulus used to find the residue. Let $m$ represent -the number of digits in $b$. For the purposes of this discussion we will assume that the number of digits in $a$ is $2m$, which is generally true if -two $m$-digit numbers have been multiplied. Dividing $a$ by $b$ is the same as dividing a $2m$ digit integer by a $m$ digit integer. Digits below the +the number of digits in $b$. For the purposes of this discussion we will assume that the number of digits in $a$ is $2m$, which is generally true if +two $m$-digit numbers have been multiplied. Dividing $a$ by $b$ is the same as dividing a $2m$ digit integer by a $m$ digit integer. Digits below the $m - 1$'th digit of $a$ will contribute at most a value of $1$ to the quotient because $\beta^k < b$ for any $0 \le k \le m - 1$. Another way to -express this is by re-writing $a$ as two parts. If $a' \equiv a \mbox{ (mod }b^m\mbox{)}$ and $a'' = a - a'$ then +express this is by re-writing $a$ as two parts. If $a' \equiv a \mbox{ (mod }b^m\mbox{)}$ and $a'' = a - a'$ then ${a \over b} \equiv {{a' + a''} \over b}$ which is equivalent to ${a' \over b} + {a'' \over b}$. Since $a'$ is bound to be less than $b$ the quotient is bound by $0 \le {a' \over b} < 1$. -Since the digits of $a'$ do not contribute much to the quotient the observation is that they might as well be zero. However, if the digits +Since the digits of $a'$ do not contribute much to the quotient the observation is that they might as well be zero. However, if the digits ``might as well be zero'' they might as well not be there in the first place. Let $q_0 = \lfloor a/\beta^{m-1} \rfloor$ represent the input with the irrelevant digits trimmed. Now the modular reduction is trimmed to the almost equivalent equation @@ -3523,52 +3512,52 @@ with the irrelevant digits trimmed. Now the modular reduction is trimmed to the c = a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor \end{equation} -Note that the original divisor $2^q$ has been replaced with $\beta^{m+1}$ where in this case $q$ is a multiple of $lg(\beta)$. Also note that the -exponent on the divisor when added to the amount $q_0$ was shifted by equals $2m$. If the optimization had not been performed the divisor -would have the exponent $2m$ so in the end the exponents do ``add up''. Using the above equation the quotient +Note that the original divisor $2^q$ has been replaced with $\beta^{m+1}$ where in this case $q$ is a multiple of $lg(\beta)$. Also note that the +exponent on the divisor when added to the amount $q_0$ was shifted by equals $2m$. If the optimization had not been performed the divisor +would have the exponent $2m$ so in the end the exponents do ``add up''. Using the above equation the quotient $\lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ can be off from the true quotient by at most two. The original fixed point quotient can be off by as much as one (\textit{provided the radix point is chosen suitably}) and now that the lower irrelevent digits have been trimmed the quotient -can be off by an additional value of one for a total of at most two. This implies that -$0 \le a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor < 3b$. By first subtracting $b$ times the quotient and then conditionally subtracting +can be off by an additional value of one for a total of at most two. This implies that +$0 \le a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor < 3b$. By first subtracting $b$ times the quotient and then conditionally subtracting $b$ once or twice the residue is found. The quotient is now found using $(m + 1)(m) = m^2 + m$ single precision multiplications and the residue with an additional $m^2$ single -precision multiplications, ignoring the subtractions required. In total $2m^2 + m$ single precision multiplications are required to find the residue. +precision multiplications, ignoring the subtractions required. In total $2m^2 + m$ single precision multiplications are required to find the residue. This is considerably faster than the original attempt. -For example, let $\beta = 10$ represent the radix of the digits. Let $b = 9999$ represent the modulus which implies $m = 4$. Let $a = 99929878$ -represent the value of which the residue is desired. In this case $q = 8$ since $10^7 < 9999^2$ meaning that $\mu = \lfloor \beta^{q}/b \rfloor = 10001$. -With the new observation the multiplicand for the quotient is equal to $q_0 = \lfloor a / \beta^{m - 1} \rfloor = 99929$. The quotient is then -$\lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor = 9993$. Subtracting $9993b$ from $a$ and the correct residue $a \equiv 9871 \mbox{ (mod }b\mbox{)}$ -is found. +For example, let $\beta = 10$ represent the radix of the digits. Let $b = 9999$ represent the modulus which implies $m = 4$. Let $a = 99929878$ +represent the value of which the residue is desired. In this case $q = 8$ since $10^7 < 9999^2$ meaning that $\mu = \lfloor \beta^{q}/b \rfloor = 10001$. +With the new observation the multiplicand for the quotient is equal to $q_0 = \lfloor a / \beta^{m - 1} \rfloor = 99929$. The quotient is then +$\lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor = 9993$. Subtracting $9993b$ from $a$ and the correct residue $a \equiv 9871 \mbox{ (mod }b\mbox{)}$ +is found. \subsection{Trimming the Quotient} -So far the reduction algorithm has been optimized from $3m^2$ single precision multiplications down to $2m^2 + m$ single precision multiplications. As +So far the reduction algorithm has been optimized from $3m^2$ single precision multiplications down to $2m^2 + m$ single precision multiplications. As it stands now the algorithm is already fairly fast compared to a full integer division algorithm. However, there is still room for -optimization. +optimization. After the first multiplication inside the quotient ($q_0 \cdot \mu$) the value is shifted right by $m + 1$ places effectively nullifying the lower -half of the product. It would be nice to be able to remove those digits from the product to effectively cut down the number of single precision -multiplications. If the number of digits in the modulus $m$ is far less than $\beta$ a full product is not required for the algorithm to work properly. -In fact the lower $m - 2$ digits will not affect the upper half of the product at all and do not need to be computed. +half of the product. It would be nice to be able to remove those digits from the product to effectively cut down the number of single precision +multiplications. If the number of digits in the modulus $m$ is far less than $\beta$ a full product is not required for the algorithm to work properly. +In fact the lower $m - 2$ digits will not affect the upper half of the product at all and do not need to be computed. The value of $\mu$ is a $m$-digit number and $q_0$ is a $m + 1$ digit number. Using a full multiplier $(m + 1)(m) = m^2 + m$ single precision multiplications would be required. Using a multiplier that will only produce digits at and above the $m - 1$'th digit reduces the number -of single precision multiplications to ${m^2 + m} \over 2$ single precision multiplications. +of single precision multiplications to ${m^2 + m} \over 2$ single precision multiplications. \subsection{Trimming the Residue} After the quotient has been calculated it is used to reduce the input. As previously noted the algorithm is not exact and it can be off by a small -multiple of the modulus, that is $0 \le a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor < 3b$. If $b$ is $m$ digits than the +multiple of the modulus, that is $0 \le a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor < 3b$. If $b$ is $m$ digits than the result of reduction equation is a value of at most $m + 1$ digits (\textit{provided $3 < \beta$}) implying that the upper $m - 1$ digits are -implicitly zero. +implicitly zero. The next optimization arises from this very fact. Instead of computing $b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ using a full $O(m^2)$ multiplication algorithm only the lower $m+1$ digits of the product have to be computed. Similarly the value of $a$ can -be reduced modulo $\beta^{m+1}$ before the multiple of $b$ is subtracted which simplifes the subtraction as well. A multiplication that produces -only the lower $m+1$ digits requires ${m^2 + 3m - 2} \over 2$ single precision multiplications. +be reduced modulo $\beta^{m+1}$ before the multiple of $b$ is subtracted which simplifes the subtraction as well. A multiplication that produces +only the lower $m+1$ digits requires ${m^2 + 3m - 2} \over 2$ single precision multiplications. With both optimizations in place the algorithm is the algorithm Barrett proposed. It requires $m^2 + 2m - 1$ single precision multiplications which -is considerably faster than the straightforward $3m^2$ method. +is considerably faster than the straightforward $3m^2$ method. \subsection{The Barrett Algorithm} \newpage\begin{figure}[!here] @@ -3612,26 +3601,26 @@ Now subtract the modulus if the residue is too large (e.g. quotient too small). \textbf{Algorithm mp\_reduce.} This algorithm will reduce the input $a$ modulo $b$ in place using the Barrett algorithm. It is loosely based on algorithm 14.42 of HAC -\cite[pp. 602]{HAC} which is based on the paper from Paul Barrett \cite{BARRETT}. The algorithm has several restrictions and assumptions which must +\cite[pp. 602]{HAC} which is based on the paper from Paul Barrett \cite{BARRETT}. The algorithm has several restrictions and assumptions which must be adhered to for the algorithm to work. First the modulus $b$ is assumed to be positive and greater than one. If the modulus were less than or equal to one than subtracting a multiple of it would either accomplish nothing or actually enlarge the input. The input $a$ must be in the range $0 \le a < b^2$ in order for the quotient to have enough precision. If $a$ is the product of two numbers that were already reduced modulo $b$, this will not be a problem. -Technically the algorithm will still work if $a \ge b^2$ but it will take much longer to finish. The value of $\mu$ is passed as an argument to this -algorithm and is assumed to be calculated and stored before the algorithm is used. +Technically the algorithm will still work if $a \ge b^2$ but it will take much longer to finish. The value of $\mu$ is passed as an argument to this +algorithm and is assumed to be calculated and stored before the algorithm is used. -Recall that the multiplication for the quotient on step 3 must only produce digits at or above the $m-1$'th position. An algorithm called +Recall that the multiplication for the quotient on step 3 must only produce digits at or above the $m-1$'th position. An algorithm called $s\_mp\_mul\_high\_digs$ which has not been presented is used to accomplish this task. The algorithm is based on $s\_mp\_mul\_digs$ except that instead of stopping at a given level of precision it starts at a given level of precision. This optimal algorithm can only be used if the number -of digits in $b$ is very much smaller than $\beta$. +of digits in $b$ is very much smaller than $\beta$. -While it is known that -$a \ge b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ only the lower $m+1$ digits are being used to compute the residue, so an implied -``borrow'' from the higher digits might leave a negative result. After the multiple of the modulus has been subtracted from $a$ the residue must be -fixed up in case it is negative. The invariant $\beta^{m+1}$ must be added to the residue to make it positive again. +While it is known that +$a \ge b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ only the lower $m+1$ digits are being used to compute the residue, so an implied +``borrow'' from the higher digits might leave a negative result. After the multiple of the modulus has been subtracted from $a$ the residue must be +fixed up in case it is negative. The invariant $\beta^{m+1}$ must be added to the residue to make it positive again. -The while loop at step 9 will subtract $b$ until the residue is less than $b$. If the algorithm is performed correctly this step is +The while loop at step 9 will subtract $b$ until the residue is less than $b$. If the algorithm is performed correctly this step is performed at most twice, and on average once. However, if $a \ge b^2$ than it will iterate substantially more times than it should. EXAM,bn_mp_reduce.c @@ -3639,11 +3628,11 @@ EXAM,bn_mp_reduce.c The first multiplication that determines the quotient can be performed by only producing the digits from $m - 1$ and up. This essentially halves the number of single precision multiplications required. However, the optimization is only safe if $\beta$ is much larger than the number of digits in the modulus. In the source code this is evaluated on lines @36,if@ to @44,}@ where algorithm s\_mp\_mul\_high\_digs is used when it is -safe to do so. +safe to do so. \subsection{The Barrett Setup Algorithm} In order to use algorithm mp\_reduce the value of $\mu$ must be calculated in advance. Ideally this value should be computed once and stored for -future use so that the Barrett algorithm can be used without delay. +future use so that the Barrett algorithm can be used without delay. \newpage\begin{figure}[!here] \begin{small} @@ -3670,24 +3659,24 @@ is equivalent and much faster. The final value is computed by taking the intege EXAM,bn_mp_reduce_setup.c This simple routine calculates the reciprocal $\mu$ required by Barrett reduction. Note the extended usage of algorithm mp\_div where the variable -which would received the remainder is passed as NULL. As will be discussed in~\ref{sec:division} the division routine allows both the quotient and the -remainder to be passed as NULL meaning to ignore the value. +which would received the remainder is passed as NULL. As will be discussed in~\ref{sec:division} the division routine allows both the quotient and the +remainder to be passed as NULL meaning to ignore the value. \section{The Montgomery Reduction} -Montgomery reduction\footnote{Thanks to Niels Ferguson for his insightful explanation of the algorithm.} \cite{MONT} is by far the most interesting -form of reduction in common use. It computes a modular residue which is not actually equal to the residue of the input yet instead equal to a -residue times a constant. However, as perplexing as this may sound the algorithm is relatively simple and very efficient. +Montgomery reduction\footnote{Thanks to Niels Ferguson for his insightful explanation of the algorithm.} \cite{MONT} is by far the most interesting +form of reduction in common use. It computes a modular residue which is not actually equal to the residue of the input yet instead equal to a +residue times a constant. However, as perplexing as this may sound the algorithm is relatively simple and very efficient. Throughout this entire section the variable $n$ will represent the modulus used to form the residue. As will be discussed shortly the value of $n$ must be odd. The variable $x$ will represent the quantity of which the residue is sought. Similar to the Barrett algorithm the input is restricted to $0 \le x < n^2$. To begin the description some simple number theory facts must be established. \textbf{Fact 1.} Adding $n$ to $x$ does not change the residue since in effect it adds one to the quotient $\lfloor x / n \rfloor$. Another way -to explain this is that $n$ is (\textit{or multiples of $n$ are}) congruent to zero modulo $n$. Adding zero will not change the value of the residue. +to explain this is that $n$ is (\textit{or multiples of $n$ are}) congruent to zero modulo $n$. Adding zero will not change the value of the residue. \textbf{Fact 2.} If $x$ is even then performing a division by two in $\Z$ is congruent to $x \cdot 2^{-1} \mbox{ (mod }n\mbox{)}$. Actually -this is an application of the fact that if $x$ is evenly divisible by any $k \in \Z$ then division in $\Z$ will be congruent to -multiplication by $k^{-1}$ modulo $n$. +this is an application of the fact that if $x$ is evenly divisible by any $k \in \Z$ then division in $\Z$ will be congruent to +multiplication by $k^{-1}$ modulo $n$. From these two simple facts the following simple algorithm can be derived. @@ -3713,8 +3702,8 @@ From these two simple facts the following simple algorithm can be derived. The algorithm reduces the input one bit at a time using the two congruencies stated previously. Inside the loop $n$, which is odd, is added to $x$ if $x$ is odd. This forces $x$ to be even which allows the division by two in $\Z$ to be congruent to a modular division by two. Since -$x$ is assumed to be initially much larger than $n$ the addition of $n$ will contribute an insignificant magnitude to $x$. Let $r$ represent the -final result of the Montgomery algorithm. If $k > lg(n)$ and $0 \le x < n^2$ then the final result is limited to +$x$ is assumed to be initially much larger than $n$ the addition of $n$ will contribute an insignificant magnitude to $x$. Let $r$ represent the +final result of the Montgomery algorithm. If $k > lg(n)$ and $0 \le x < n^2$ then the final result is limited to $0 \le r < \lfloor x/2^k \rfloor + n$. As a result at most a single subtraction is required to get the residue desired. \begin{figure}[here] @@ -3739,12 +3728,12 @@ $0 \le r < \lfloor x/2^k \rfloor + n$. As a result at most a single subtraction \label{fig:MONT1} \end{figure} -Consider the example in figure~\ref{fig:MONT1} which reduces $x = 5555$ modulo $n = 257$ when $k = 9$ (note $\beta^k = 512$ which is larger than $n$). The result of -the algorithm $r = 178$ is congruent to the value of $2^{-9} \cdot 5555 \mbox{ (mod }257\mbox{)}$. When $r$ is multiplied by $2^9$ modulo $257$ the correct residue -$r \equiv 158$ is produced. +Consider the example in figure~\ref{fig:MONT1} which reduces $x = 5555$ modulo $n = 257$ when $k = 9$ (note $\beta^k = 512$ which is larger than $n$). The result of +the algorithm $r = 178$ is congruent to the value of $2^{-9} \cdot 5555 \mbox{ (mod }257\mbox{)}$. When $r$ is multiplied by $2^9$ modulo $257$ the correct residue +$r \equiv 158$ is produced. Let $k = \lfloor lg(n) \rfloor + 1$ represent the number of bits in $n$. The current algorithm requires $2k^2$ single precision shifts -and $k^2$ single precision additions. At this rate the algorithm is most certainly slower than Barrett reduction and not terribly useful. +and $k^2$ single precision additions. At this rate the algorithm is most certainly slower than Barrett reduction and not terribly useful. Fortunately there exists an alternative representation of the algorithm. \begin{figure}[!here] @@ -3793,10 +3782,10 @@ precision shifts has now been reduced from $2k^2$ to $k^2 + k$ which is only a s \label{fig:MONT2} \end{figure} -Figure~\ref{fig:MONT2} demonstrates the modified algorithm reducing $x = 5555$ modulo $n = 257$ with $k = 9$. -With this algorithm a single shift right at the end is the only right shift required to reduce the input instead of $k$ right shifts inside the -loop. Note that for the iterations $t = 2, 5, 6$ and $8$ where the result $x$ is not changed. In those iterations the $t$'th bit of $x$ is -zero and the appropriate multiple of $n$ does not need to be added to force the $t$'th bit of the result to zero. +Figure~\ref{fig:MONT2} demonstrates the modified algorithm reducing $x = 5555$ modulo $n = 257$ with $k = 9$. +With this algorithm a single shift right at the end is the only right shift required to reduce the input instead of $k$ right shifts inside the +loop. Note that for the iterations $t = 2, 5, 6$ and $8$ where the result $x$ is not changed. In those iterations the $t$'th bit of $x$ is +zero and the appropriate multiple of $n$ does not need to be added to force the $t$'th bit of the result to zero. \subsection{Digit Based Montgomery Reduction} Instead of computing the reduction on a bit-by-bit basis it is actually much faster to compute it on digit-by-digit basis. Consider the @@ -3820,9 +3809,9 @@ previous algorithm re-written to compute the Montgomery reduction in this new fa \caption{Algorithm Montgomery Reduction (modified II)} \end{figure} -The value $\mu n \beta^t$ is a multiple of the modulus $n$ meaning that it will not change the residue. If the first digit of +The value $\mu n \beta^t$ is a multiple of the modulus $n$ meaning that it will not change the residue. If the first digit of the value $\mu n \beta^t$ equals the negative (modulo $\beta$) of the $t$'th digit of $x$ then the addition will result in a zero digit. This -problem breaks down to solving the following congruency. +problem breaks down to solving the following congruency. \begin{center} \begin{tabular}{rcl} @@ -3832,10 +3821,10 @@ $\mu$ & $\equiv$ & $-x_t/n_0 \mbox{ (mod }\beta\mbox{)}$ \\ \end{tabular} \end{center} -In each iteration of the loop on step 1 a new value of $\mu$ must be calculated. The value of $-1/n_0 \mbox{ (mod }\beta\mbox{)}$ is used -extensively in this algorithm and should be precomputed. Let $\rho$ represent the negative of the modular inverse of $n_0$ modulo $\beta$. +In each iteration of the loop on step 1 a new value of $\mu$ must be calculated. The value of $-1/n_0 \mbox{ (mod }\beta\mbox{)}$ is used +extensively in this algorithm and should be precomputed. Let $\rho$ represent the negative of the modular inverse of $n_0$ modulo $\beta$. -For example, let $\beta = 10$ represent the radix. Let $n = 17$ represent the modulus which implies $k = 2$ and $\rho \equiv 7$. Let $x = 33$ +For example, let $\beta = 10$ represent the radix. Let $n = 17$ represent the modulus which implies $k = 2$ and $\rho \equiv 7$. Let $x = 33$ represent the value to reduce. \newpage\begin{figure} @@ -3851,14 +3840,14 @@ represent the value to reduce. \caption{Example of Montgomery Reduction} \end{figure} -The final result $900$ is then divided by $\beta^k$ to produce the final result $9$. The first observation is that $9 \nequiv x \mbox{ (mod }n\mbox{)}$ +The final result $900$ is then divided by $\beta^k$ to produce the final result $9$. The first observation is that $9 \nequiv x \mbox{ (mod }n\mbox{)}$ which implies the result is not the modular residue of $x$ modulo $n$. However, recall that the residue is actually multiplied by $\beta^{-k}$ in the algorithm. To get the true residue the value must be multiplied by $\beta^k$. In this case $\beta^k \equiv 15 \mbox{ (mod }n\mbox{)}$ and -the correct residue is $9 \cdot 15 \equiv 16 \mbox{ (mod }n\mbox{)}$. +the correct residue is $9 \cdot 15 \equiv 16 \mbox{ (mod }n\mbox{)}$. \subsection{Baseline Montgomery Reduction} -The baseline Montgomery reduction algorithm will produce the residue for any size input. It is designed to be a catch-all algororithm for -Montgomery reductions. +The baseline Montgomery reduction algorithm will produce the residue for any size input. It is designed to be a catch-all algororithm for +Montgomery reductions. \newpage\begin{figure}[!here] \begin{small} @@ -3906,9 +3895,9 @@ Divide by $\beta^k$ and fix up as required. \\ \textbf{Algorithm mp\_montgomery\_reduce.} This algorithm reduces the input $x$ modulo $n$ in place using the Montgomery reduction algorithm. The algorithm is loosely based on algorithm 14.32 of \cite[pp.601]{HAC} except it merges the multiplication of $\mu n \beta^t$ with the addition in the inner loop. The -restrictions on this algorithm are fairly easy to adapt to. First $0 \le x < n^2$ bounds the input to numbers in the same range as +restrictions on this algorithm are fairly easy to adapt to. First $0 \le x < n^2$ bounds the input to numbers in the same range as for the Barrett algorithm. Additionally if $n > 1$ and $n$ is odd there will exist a modular inverse $\rho$. $\rho$ must be calculated in -advance of this algorithm. Finally the variable $k$ is fixed and a pseudonym for $n.used$. +advance of this algorithm. Finally the variable $k$ is fixed and a pseudonym for $n.used$. Step 2 decides whether a faster Montgomery algorithm can be used. It is based on the Comba technique meaning that there are limits on the size of the input. This algorithm is discussed in ~COMBARED~. @@ -3917,17 +3906,17 @@ Step 5 is the main reduction loop of the algorithm. The value of $\mu$ is calcu calculates $x + \mu n \beta^{ix}$ by multiplying $\mu n$ and adding the result to $x$ shifted by $ix$ digits. Both the addition and multiplication are performed in the same loop to save time and memory. Step 5.4 will handle any additional carries that escape the inner loop. -Using a quick inspection this algorithm requires $n$ single precision multiplications for the outer loop and $n^2$ single precision multiplications +Using a quick inspection this algorithm requires $n$ single precision multiplications for the outer loop and $n^2$ single precision multiplications in the inner loop. In total $n^2 + n$ single precision multiplications which compares favourably to Barrett at $n^2 + 2n - 1$ single precision -multiplications. +multiplications. EXAM,bn_mp_montgomery_reduce.c This is the baseline implementation of the Montgomery reduction algorithm. Lines @30,digs@ to @35,}@ determine if the Comba based -routine can be used instead. Line @47,mu@ computes the value of $\mu$ for that particular iteration of the outer loop. +routine can be used instead. Line @47,mu@ computes the value of $\mu$ for that particular iteration of the outer loop. The multiplication $\mu n \beta^{ix}$ is performed in one step in the inner loop. The alias $tmpx$ refers to the $ix$'th digit of $x$ and -the alias $tmpn$ refers to the modulus $n$. +the alias $tmpn$ refers to the modulus $n$. \subsection{Faster ``Comba'' Montgomery Reduction} MARK,COMBARED @@ -3935,14 +3924,14 @@ MARK,COMBARED The Montgomery reduction requires fewer single precision multiplications than a Barrett reduction, however it is much slower due to the serial nature of the inner loop. The Barrett reduction algorithm requires two slightly modified multipliers which can be implemented with the Comba technique. The Montgomery reduction algorithm cannot directly use the Comba technique to any significant advantage since the inner loop calculates -a $k \times 1$ product $k$ times. +a $k \times 1$ product $k$ times. -The biggest obstacle is that at the $ix$'th iteration of the outer loop the value of $x_{ix}$ is required to calculate $\mu$. This means the -carries from $0$ to $ix - 1$ must have been propagated upwards to form a valid $ix$'th digit. The solution as it turns out is very simple. -Perform a Comba like multiplier and inside the outer loop just after the inner loop fix up the $ix + 1$'th digit by forwarding the carry. +The biggest obstacle is that at the $ix$'th iteration of the outer loop the value of $x_{ix}$ is required to calculate $\mu$. This means the +carries from $0$ to $ix - 1$ must have been propagated upwards to form a valid $ix$'th digit. The solution as it turns out is very simple. +Perform a Comba like multiplier and inside the outer loop just after the inner loop fix up the $ix + 1$'th digit by forwarding the carry. With this change in place the Montgomery reduction algorithm can be performed with a Comba style multiplication loop which substantially increases -the speed of the algorithm. +the speed of the algorithm. \newpage\begin{figure}[!here] \begin{small} @@ -3991,9 +3980,9 @@ Zero excess digits and fixup $x$. \\ \textbf{Algorithm fast\_mp\_montgomery\_reduce.} This algorithm will compute the Montgomery reduction of $x$ modulo $n$ using the Comba technique. It is on most computer platforms significantly faster than algorithm mp\_montgomery\_reduce and algorithm mp\_reduce (\textit{Barrett reduction}). The algorithm has the same restrictions -on the input as the baseline reduction algorithm. An additional two restrictions are imposed on this algorithm. The number of digits $k$ in the +on the input as the baseline reduction algorithm. An additional two restrictions are imposed on this algorithm. The number of digits $k$ in the the modulus $n$ must not violate $MP\_WARRAY > 2k +1$ and $n < \delta$. When $\beta = 2^{28}$ this algorithm can be used to reduce modulo -a modulus of at most $3,556$ bits in length. +a modulus of at most $3,556$ bits in length. As in the other Comba reduction algorithms there is a $\hat W$ array which stores the columns of the product. It is initially filled with the contents of $x$ with the excess digits zeroed. The reduction loop is very similar the to the baseline loop at heart. The multiplication on step @@ -4007,23 +3996,23 @@ how the upper bits of those same words are not reduced modulo $\beta$. This is point. Step 5 will propagate the remainder of the carries upwards. On step 6 the columns are reduced modulo $\beta$ and shifted simultaneously as they are -stored in the destination $x$. +stored in the destination $x$. EXAM,bn_fast_mp_montgomery_reduce.c The $\hat W$ array is first filled with digits of $x$ on line @49,for@ then the rest of the digits are zeroed on line @54,for@. Both loops share -the same alias variables to make the code easier to read. +the same alias variables to make the code easier to read. The value of $\mu$ is calculated in an interesting fashion. First the value $\hat W_{ix}$ is reduced modulo $\beta$ and cast to a mp\_digit. This -forces the compiler to use a single precision multiplication and prevents any concerns about loss of precision. Line @101,>>@ fixes the carry +forces the compiler to use a single precision multiplication and prevents any concerns about loss of precision. Line @101,>>@ fixes the carry for the next iteration of the loop by propagating the carry from $\hat W_{ix}$ to $\hat W_{ix+1}$. The for loop on line @113,for@ propagates the rest of the carries upwards through the columns. The for loop on line @126,for@ reduces the columns modulo $\beta$ and shifts them $k$ places at the same time. The alias $\_ \hat W$ actually refers to the array $\hat W$ starting at the $n.used$'th -digit, that is $\_ \hat W_{t} = \hat W_{n.used + t}$. +digit, that is $\_ \hat W_{t} = \hat W_{n.used + t}$. \subsection{Montgomery Setup} -To calculate the variable $\rho$ a relatively simple algorithm will be required. +To calculate the variable $\rho$ a relatively simple algorithm will be required. \begin{figure}[!here] \begin{small} @@ -4044,17 +4033,17 @@ To calculate the variable $\rho$ a relatively simple algorithm will be required. \end{tabular} \end{center} \end{small} -\caption{Algorithm mp\_montgomery\_setup} +\caption{Algorithm mp\_montgomery\_setup} \end{figure} \textbf{Algorithm mp\_montgomery\_setup.} -This algorithm will calculate the value of $\rho$ required within the Montgomery reduction algorithms. It uses a very interesting trick -to calculate $1/n_0$ when $\beta$ is a power of two. +This algorithm will calculate the value of $\rho$ required within the Montgomery reduction algorithms. It uses a very interesting trick +to calculate $1/n_0$ when $\beta$ is a power of two. EXAM,bn_mp_montgomery_setup.c This source code computes the value of $\rho$ required to perform Montgomery reduction. It has been modified to avoid performing excess -multiplications when $\beta$ is not the default 28-bits. +multiplications when $\beta$ is not the default 28-bits. \section{The Diminished Radix Algorithm} The Diminished Radix method of modular reduction \cite{DRMET} is a fairly clever technique which can be more efficient than either the Barrett @@ -4064,7 +4053,7 @@ or Montgomery methods for certain forms of moduli. The technique is based on th (x \mbox{ mod } n) + k \lfloor x / n \rfloor \equiv x \mbox{ (mod }(n - k)\mbox{)} \end{equation} -This observation was used in the MMB \cite{MMB} block cipher to create a diffusion primitive. It used the fact that if $n = 2^{31}$ and $k=1$ that +This observation was used in the MMB \cite{MMB} block cipher to create a diffusion primitive. It used the fact that if $n = 2^{31}$ and $k=1$ that then a x86 multiplier could produce the 62-bit product and use the ``shrd'' instruction to perform a double-precision right shift. The proof of the above equation is very simple. First write $x$ in the product form. @@ -4078,7 +4067,7 @@ Now reduce both sides modulo $(n - k)$. x \equiv qk + r \mbox{ (mod }(n-k)\mbox{)} \end{equation} -The variable $n$ reduces modulo $n - k$ to $k$. By putting $q = \lfloor x/n \rfloor$ and $r = x \mbox{ mod } n$ +The variable $n$ reduces modulo $n - k$ to $k$. By putting $q = \lfloor x/n \rfloor$ and $r = x \mbox{ mod } n$ into the equation the original congruence is reproduced, thus concluding the proof. The following algorithm is based on this observation. \begin{figure}[!here] @@ -4108,7 +4097,7 @@ into the equation the original congruence is reproduced, thus concluding the pro This algorithm will reduce $x$ modulo $n - k$ and return the residue. If $0 \le x < (n - k)^2$ then the algorithm will loop almost always once or twice and occasionally three times. For simplicity sake the value of $x$ is bounded by the following simple polynomial. -\begin{equation} +\begin{equation} 0 \le x < n^2 + k^2 - 2nk \end{equation} @@ -4119,15 +4108,15 @@ q < n - 2k - k^2/n \end{equation} Since $k^2$ is going to be considerably smaller than $n$ that term will always be zero. The value of $x$ after step 3 is bounded trivially as -$0 \le x < n$. By step four the sum $x + q$ is bounded by +$0 \le x < n$. By step four the sum $x + q$ is bounded by \begin{equation} 0 \le q + x < (k + 1)n - 2k^2 - 1 \end{equation} With a second pass $q$ will be loosely bounded by $0 \le q < k^2$ after step 2 while $x$ will still be loosely bounded by $0 \le x < n$ after step 3. After the second pass it is highly unlike that the -sum in step 4 will exceed $n - k$. In practice fewer than three passes of the algorithm are required to reduce virtually every input in the -range $0 \le x < (n - k - 1)^2$. +sum in step 4 will exceed $n - k$. In practice fewer than three passes of the algorithm are required to reduce virtually every input in the +range $0 \le x < (n - k - 1)^2$. \begin{figure} \begin{small} @@ -4140,13 +4129,13 @@ $q \leftarrow q*k = 1446759$ \\ $x \leftarrow x \mbox{ mod } n = 21$ \\ $x \leftarrow x + q = 1446780$ \\ $x \leftarrow x - (n - k) = 1446527$ \\ -\hline +\hline $q \leftarrow \lfloor x/n \rfloor = 5650$ \\ $q \leftarrow q*k = 16950$ \\ $x \leftarrow x \mbox{ mod } n = 127$ \\ $x \leftarrow x + q = 17077$ \\ $x \leftarrow x - (n - k) = 16824$ \\ -\hline +\hline $q \leftarrow \lfloor x/n \rfloor = 65$ \\ $q \leftarrow q*k = 195$ \\ $x \leftarrow x \mbox{ mod } n = 184$ \\ @@ -4169,29 +4158,29 @@ three passes were required to find the residue $x \equiv 126$. On the surface this algorithm looks like a very expensive algorithm. It requires a couple of subtractions followed by multiplication and other modular reductions. The usefulness of this algorithm becomes exceedingly clear when an appropriate modulus is chosen. -Division in general is a very expensive operation to perform. The one exception is when the division is by a power of the radix of representation used. -Division by ten for example is simple for pencil and paper mathematics since it amounts to shifting the decimal place to the right. Similarly division -by two (\textit{or powers of two}) is very simple for binary computers to perform. It would therefore seem logical to choose $n$ of the form $2^p$ -which would imply that $\lfloor x / n \rfloor$ is a simple shift of $x$ right $p$ bits. +Division in general is a very expensive operation to perform. The one exception is when the division is by a power of the radix of representation used. +Division by ten for example is simple for pencil and paper mathematics since it amounts to shifting the decimal place to the right. Similarly division +by two (\textit{or powers of two}) is very simple for binary computers to perform. It would therefore seem logical to choose $n$ of the form $2^p$ +which would imply that $\lfloor x / n \rfloor$ is a simple shift of $x$ right $p$ bits. -However, there is one operation related to division of power of twos that is even faster than this. If $n = \beta^p$ then the division may be -performed by moving whole digits to the right $p$ places. In practice division by $\beta^p$ is much faster than division by $2^p$ for any $p$. -Also with the choice of $n = \beta^p$ reducing $x$ modulo $n$ merely requires zeroing the digits above the $p-1$'th digit of $x$. +However, there is one operation related to division of power of twos that is even faster than this. If $n = \beta^p$ then the division may be +performed by moving whole digits to the right $p$ places. In practice division by $\beta^p$ is much faster than division by $2^p$ for any $p$. +Also with the choice of $n = \beta^p$ reducing $x$ modulo $n$ merely requires zeroing the digits above the $p-1$'th digit of $x$. Throughout the next section the term ``restricted modulus'' will refer to a modulus of the form $\beta^p - k$ whereas the term ``unrestricted -modulus'' will refer to a modulus of the form $2^p - k$. The word ``restricted'' in this case refers to the fact that it is based on the -$2^p$ logic except $p$ must be a multiple of $lg(\beta)$. +modulus'' will refer to a modulus of the form $2^p - k$. The word ``restricted'' in this case refers to the fact that it is based on the +$2^p$ logic except $p$ must be a multiple of $lg(\beta)$. \subsection{Choice of $k$} Now that division and reduction (\textit{step 1 and 3 of figure~\ref{fig:DR}}) have been optimized to simple digit operations the multiplication by $k$ in step 2 is the most expensive operation. Fortunately the choice of $k$ is not terribly limited. For all intents and purposes it might -as well be a single digit. The smaller the value of $k$ is the faster the algorithm will be. +as well be a single digit. The smaller the value of $k$ is the faster the algorithm will be. \subsection{Restricted Diminished Radix Reduction} -The restricted Diminished Radix algorithm can quickly reduce an input modulo a modulus of the form $n = \beta^p - k$. This algorithm can reduce +The restricted Diminished Radix algorithm can quickly reduce an input modulo a modulus of the form $n = \beta^p - k$. This algorithm can reduce an input $x$ within the range $0 \le x < n^2$ using only a couple passes of the algorithm demonstrated in figure~\ref{fig:DR}. The implementation -of this algorithm has been optimized to avoid additional overhead associated with a division by $\beta^p$, the multiplication by $k$ or the addition -of $x$ and $q$. The resulting algorithm is very efficient and can lead to substantial improvements over Barrett and Montgomery reduction when modular +of this algorithm has been optimized to avoid additional overhead associated with a division by $\beta^p$, the multiplication by $k$ or the addition +of $x$ and $q$. The resulting algorithm is very efficient and can lead to substantial improvements over Barrett and Montgomery reduction when modular exponentiations are performed. \newpage\begin{figure}[!here] @@ -4227,31 +4216,31 @@ exponentiations are performed. \textbf{Algorithm mp\_dr\_reduce.} This algorithm will perform the Dimished Radix reduction of $x$ modulo $n$. It has similar restrictions to that of the Barrett reduction -with the addition that $n$ must be of the form $n = \beta^m - k$ where $0 < k <\beta$. +with the addition that $n$ must be of the form $n = \beta^m - k$ where $0 < k <\beta$. This algorithm essentially implements the pseudo-code in figure~\ref{fig:DR} except with a slight optimization. The division by $\beta^m$, multiplication by $k$ and addition of $x \mbox{ mod }\beta^m$ are all performed simultaneously inside the loop on step 4. The division by $\beta^m$ is emulated by accessing the term at the $m+i$'th position which is subsequently multiplied by $k$ and added to the term at the $i$'th position. After the loop the $m$'th -digit is set to the carry and the upper digits are zeroed. Steps 5 and 6 emulate the reduction modulo $\beta^m$ that should have happend to -$x$ before the addition of the multiple of the upper half. +digit is set to the carry and the upper digits are zeroed. Steps 5 and 6 emulate the reduction modulo $\beta^m$ that should have happend to +$x$ before the addition of the multiple of the upper half. At step 8 if $x$ is still larger than $n$ another pass of the algorithm is required. First $n$ is subtracted from $x$ and then the algorithm resumes -at step 3. +at step 3. EXAM,bn_mp_dr_reduce.c The first step is to grow $x$ as required to $2m$ digits since the reduction is performed in place on $x$. The label on line @49,top:@ is where the algorithm will resume if further reduction passes are required. In theory it could be placed at the top of the function however, the size of -the modulus and question of whether $x$ is large enough are invariant after the first pass meaning that it would be a waste of time. +the modulus and question of whether $x$ is large enough are invariant after the first pass meaning that it would be a waste of time. The aliases $tmpx1$ and $tmpx2$ refer to the digits of $x$ where the latter is offset by $m$ digits. By reading digits from $x$ offset by $m$ digits a division by $\beta^m$ can be simulated virtually for free. The loop on line @61,for@ performs the bulk of the work (\textit{corresponds to step 4 of algorithm 7.11}) in this algorithm. -By line @68,mu@ the pointer $tmpx1$ points to the $m$'th digit of $x$ which is where the final carry will be placed. Similarly by line @71,for@ the -same pointer will point to the $m+1$'th digit where the zeroes will be placed. +By line @68,mu@ the pointer $tmpx1$ points to the $m$'th digit of $x$ which is where the final carry will be placed. Similarly by line @71,for@ the +same pointer will point to the $m+1$'th digit where the zeroes will be placed. -Since the algorithm is only valid if both $x$ and $n$ are greater than zero an unsigned comparison suffices to determine if another pass is required. +Since the algorithm is only valid if both $x$ and $n$ are greater than zero an unsigned comparison suffices to determine if another pass is required. With the same logic at line @82,sub@ the value of $x$ is known to be greater than or equal to $n$ meaning that an unsigned subtraction can be used as well. Since the destination of the subtraction is the larger of the inputs the call to algorithm s\_mp\_sub cannot fail and the return code does not need to be checked. @@ -4342,20 +4331,20 @@ algorithm is much faster than either Montgomery or Barrett reduction when the mo \textbf{Algorithm mp\_reduce\_2k.} This algorithm quickly reduces an input $a$ modulo an unrestricted Diminished Radix modulus $n$. Division by $2^p$ is emulated with a right -shift which makes the algorithm fairly inexpensive to use. +shift which makes the algorithm fairly inexpensive to use. EXAM,bn_mp_reduce_2k.c The algorithm mp\_count\_bits calculates the number of bits in an mp\_int which is used to find the initial value of $p$. The call to mp\_div\_2d on line @31,mp_div_2d@ calculates both the quotient $q$ and the remainder $a$ required. By doing both in a single function call the code size is kept fairly small. The multiplication by $k$ is only performed if $k > 1$. This allows reductions modulo $2^p - 1$ to be performed without -any multiplications. +any multiplications. -The unsigned s\_mp\_add, mp\_cmp\_mag and s\_mp\_sub are used in place of their full sign counterparts since the inputs are only valid if they are -positive. By using the unsigned versions the overhead is kept to a minimum. +The unsigned s\_mp\_add, mp\_cmp\_mag and s\_mp\_sub are used in place of their full sign counterparts since the inputs are only valid if they are +positive. By using the unsigned versions the overhead is kept to a minimum. \subsubsection{Unrestricted Setup} -To setup this reduction algorithm the value of $k = 2^p - n$ is required. +To setup this reduction algorithm the value of $k = 2^p - n$ is required. \begin{figure}[!here] \begin{small} @@ -4379,7 +4368,7 @@ To setup this reduction algorithm the value of $k = 2^p - n$ is required. \textbf{Algorithm mp\_reduce\_2k\_setup.} This algorithm computes the value of $k$ required for the algorithm mp\_reduce\_2k. By making a temporary variable $x$ equal to $2^p$ a subtraction -is sufficient to solve for $k$. Alternatively if $n$ has more than one digit the value of $k$ is simply $\beta - n_0$. +is sufficient to solve for $k$. Alternatively if $n$ has more than one digit the value of $k$ is simply $\beta - n_0$. EXAM,bn_mp_reduce_2k_setup.c @@ -4418,7 +4407,7 @@ significant bit. The resulting sum will be a power of two. \end{figure} \textbf{Algorithm mp\_reduce\_is\_2k.} -This algorithm quickly determines if a modulus is of the form required for algorithm mp\_reduce\_2k to function properly. +This algorithm quickly determines if a modulus is of the form required for algorithm mp\_reduce\_2k to function properly. EXAM,bn_mp_reduce_is_2k.c @@ -4427,7 +4416,7 @@ EXAM,bn_mp_reduce_is_2k.c \section{Algorithm Comparison} So far three very different algorithms for modular reduction have been discussed. Each of the algorithms have their own strengths and weaknesses that makes having such a selection very useful. The following table sumarizes the three algorithms along with comparisons of work factors. Since -all three algorithms have the restriction that $0 \le x < n^2$ and $n > 1$ those limitations are not included in the table. +all three algorithms have the restriction that $0 \le x < n^2$ and $n > 1$ those limitations are not included in the table. \begin{center} \begin{small} @@ -4463,12 +4452,12 @@ $\left [ 4 \right ]$ & Prove that the pseudo-code algorithm ``Diminished Radix R & (\textit{figure~\ref{fig:DR}}) terminates. Also prove the probability that it will \\ & terminate within $1 \le k \le 10$ iterations. \\ & \\ -\end{tabular} +\end{tabular} \chapter{Exponentiation} Exponentiation is the operation of raising one variable to the power of another, for example, $a^b$. A variant of exponentiation, computed -in a finite field or ring, is called modular exponentiation. This latter style of operation is typically used in public key +in a finite field or ring, is called modular exponentiation. This latter style of operation is typically used in public key cryptosystems such as RSA and Diffie-Hellman. The ability to quickly compute modular exponentiations is of great benefit to any such cryptosystem and many methods have been sought to speed it up. @@ -4478,7 +4467,7 @@ the number of multiplications becomes prohibitive. Imagine what would happen if with a $1024$-bit key. Such a calculation could never be completed as it would take simply far too long. Fortunately there is a very simple algorithm based on the laws of exponents. Recall that $lg_a(a^b) = b$ and that $lg_a(a^ba^c) = b + c$ which -are two trivial relationships between the base and the exponent. Let $b_i$ represent the $i$'th bit of $b$ starting from the least +are two trivial relationships between the base and the exponent. Let $b_i$ represent the $i$'th bit of $b$ starting from the least significant bit. If $b$ is a $k$-bit integer than the following equation is true. \begin{equation} @@ -4495,7 +4484,7 @@ The term $a^{2^i}$ can be found from the $i - 1$'th term by squaring the term si $a^{2^{i+1}}$. This observation forms the basis of essentially all fast exponentiation algorithms. It requires $k$ squarings and on average $k \over 2$ multiplications to compute the result. This is indeed quite an improvement over simply multiplying by $a$ a total of $b-1$ times. -While this current method is a considerable speed up there are further improvements to be made. For example, the $a^{2^i}$ term does not need to +While this current method is a considerable speed up there are further improvements to be made. For example, the $a^{2^i}$ term does not need to be computed in an auxilary variable. Consider the following equivalent algorithm. \begin{figure}[!here] @@ -4521,7 +4510,7 @@ be computed in an auxilary variable. Consider the following equivalent algorith This algorithm starts from the most significant bit and works towards the least significant bit. When the $i$'th bit of $b$ is set $a$ is multiplied against the current product. In each iteration the product is squared which doubles the exponent of the individual terms of the -product. +product. For example, let $b = 101100_2 \equiv 44_{10}$. The following chart demonstrates the actions of the algorithm. @@ -4542,13 +4531,13 @@ For example, let $b = 101100_2 \equiv 44_{10}$. The following chart demonstrate \caption{Example of Left to Right Exponentiation} \end{figure} -When the product $a^{32} \cdot a^8 \cdot a^4$ is simplified it is equal $a^{44}$ which is the desired exponentiation. This particular algorithm is -called ``Left to Right'' because it reads the exponent in that order. All of the exponentiation algorithms that will be presented are of this nature. +When the product $a^{32} \cdot a^8 \cdot a^4$ is simplified it is equal $a^{44}$ which is the desired exponentiation. This particular algorithm is +called ``Left to Right'' because it reads the exponent in that order. All of the exponentiation algorithms that will be presented are of this nature. \subsection{Single Digit Exponentiation} -The first algorithm in the series of exponentiation algorithms will be an unbounded algorithm where the exponent is a single digit. It is intended -to be used when a small power of an input is required (\textit{e.g. $a^5$}). It is faster than simply multiplying $b - 1$ times for all values of -$b$ that are greater than three. +The first algorithm in the series of exponentiation algorithms will be an unbounded algorithm where the exponent is a single digit. It is intended +to be used when a small power of an input is required (\textit{e.g. $a^5$}). It is faster than simply multiplying $b - 1$ times for all values of +$b$ that are greater than three. \newpage\begin{figure}[!here] \begin{small} @@ -4576,10 +4565,10 @@ $b$ that are greater than three. \textbf{Algorithm mp\_expt\_d.} This algorithm computes the value of $a$ raised to the power of a single digit $b$. It uses the left to right exponentiation algorithm to -quickly compute the exponentiation. It is loosely based on algorithm 14.79 of HAC \cite[pp. 615]{HAC} with the difference that the -exponent is a fixed width. +quickly compute the exponentiation. It is loosely based on algorithm 14.79 of HAC \cite[pp. 615]{HAC} with the difference that the +exponent is a fixed width. -A copy of $a$ is made first to allow destination variable $c$ be the same as the source variable $a$. The result is set to the initial value of +A copy of $a$ is made first to allow destination variable $c$ be the same as the source variable $a$. The result is set to the initial value of $1$ in the subsequent step. Inside the loop the exponent is read from the most significant bit first down to the least significant bit. First $c$ is invariably squared @@ -4587,12 +4576,12 @@ on step 3.1. In the following step if the most significant bit of $b$ is one th of $b$ is shifted left one bit to make the next bit down from the most signficant bit the new most significant bit. In effect each iteration of the loop moves the bits of the exponent $b$ upwards to the most significant location. -EXAM,bn_mp_expt_d.c +EXAM,bn_mp_expt_d_ex.c -Line @29,mp_set@ sets the initial value of the result to $1$. Next the loop on line @31,for@ steps through each bit of the exponent starting from -the most significant down towards the least significant. The invariant squaring operation placed on line @333,mp_sqr@ is performed first. After +This describes only the algorithm that is used when the parameter $fast$ is $0$. Line @31,mp_set@ sets the initial value of the result to $1$. Next the loop on line @54,for@ steps through each bit of the exponent starting from +the most significant down towards the least significant. The invariant squaring operation placed on line @333,mp_sqr@ is performed first. After the squaring the result $c$ is multiplied by the base $g$ if and only if the most significant bit of the exponent is set. The shift on line -@47,<<@ moves all of the bits of the exponent upwards towards the most significant location. +@69,<<@ moves all of the bits of the exponent upwards towards the most significant location. \section{$k$-ary Exponentiation} When calculating an exponentiation the most time consuming bottleneck is the multiplications which are in general a small factor @@ -4625,7 +4614,7 @@ portion of the entire exponent. Consider the following modification to the basi The squaring on step 2.1 can be calculated by squaring the value $c$ successively $k$ times. If the values of $a^g$ for $0 < g < 2^k$ have been precomputed this algorithm requires only $t$ multiplications and $tk$ squarings. The table can be generated with $2^{k - 1} - 1$ squarings and -$2^{k - 1} + 1$ multiplications. This algorithm assumes that the number of bits in the exponent is evenly divisible by $k$. +$2^{k - 1} + 1$ multiplications. This algorithm assumes that the number of bits in the exponent is evenly divisible by $k$. However, when it is not the remaining $0 < x \le k - 1$ bits can be handled with algorithm~\ref{fig:LTOR}. Suppose $k = 4$ and $t = 100$. This modified algorithm will require $109$ multiplications and $408$ squarings to compute the exponentiation. The @@ -4635,7 +4624,7 @@ has increased slightly but the number of multiplications has nearly halved. \subsection{Optimal Values of $k$} An optimal value of $k$ will minimize $2^{k} + \lceil n / k \rceil + n - 1$ for a fixed number of bits in the exponent $n$. The simplest approach is to brute force search amongst the values $k = 2, 3, \ldots, 8$ for the lowest result. Table~\ref{fig:OPTK} lists optimal values of $k$ -for various exponent sizes and compares the number of multiplication and squarings required against algorithm~\ref{fig:LTOR}. +for various exponent sizes and compares the number of multiplication and squarings required against algorithm~\ref{fig:LTOR}. \begin{figure}[here] \begin{center} @@ -4661,10 +4650,10 @@ for various exponent sizes and compares the number of multiplication and squarin \subsection{Sliding-Window Exponentiation} A simple modification to the previous algorithm is only generate the upper half of the table in the range $2^{k-1} \le g < 2^k$. Essentially -this is a table for all values of $g$ where the most significant bit of $g$ is a one. However, in order for this to be allowed in the -algorithm values of $g$ in the range $0 \le g < 2^{k-1}$ must be avoided. +this is a table for all values of $g$ where the most significant bit of $g$ is a one. However, in order for this to be allowed in the +algorithm values of $g$ in the range $0 \le g < 2^{k-1}$ must be avoided. -Table~\ref{fig:OPTK2} lists optimal values of $k$ for various exponent sizes and compares the work required against algorithm~\ref{fig:KARY}. +Table~\ref{fig:OPTK2} lists optimal values of $k$ for various exponent sizes and compares the work required against algorithm {\ref{fig:KARY}}. \begin{figure}[here] \begin{center} @@ -4715,29 +4704,29 @@ Table~\ref{fig:OPTK2} lists optimal values of $k$ for various exponent sizes and Similar to the previous algorithm this algorithm must have a special handler when fewer than $k$ bits are left in the exponent. While this algorithm requires the same number of squarings it can potentially have fewer multiplications. The pre-computed table $a^g$ is also half -the size as the previous table. +the size as the previous table. -Consider the exponent $b = 111101011001000_2 \equiv 31432_{10}$ with $k = 3$ using both algorithms. The first algorithm will divide the exponent up as -the following five $3$-bit words $b \equiv \left ( 111, 101, 011, 001, 000 \right )_{2}$. The second algorithm will break the +Consider the exponent $b = 111101011001000_2 \equiv 31432_{10}$ with $k = 3$ using both algorithms. The first algorithm will divide the exponent up as +the following five $3$-bit words $b \equiv \left ( 111, 101, 011, 001, 000 \right )_{2}$. The second algorithm will break the exponent as $b \equiv \left ( 111, 101, 0, 110, 0, 100, 0 \right )_{2}$. The single digit $0$ in the second representation are where -a single squaring took place instead of a squaring and multiplication. In total the first method requires $10$ multiplications and $18$ -squarings. The second method requires $8$ multiplications and $18$ squarings. +a single squaring took place instead of a squaring and multiplication. In total the first method requires $10$ multiplications and $18$ +squarings. The second method requires $8$ multiplications and $18$ squarings. -In general the sliding window method is never slower than the generic $k$-ary method and often it is slightly faster. +In general the sliding window method is never slower than the generic $k$-ary method and often it is slightly faster. \section{Modular Exponentiation} -Modular exponentiation is essentially computing the power of a base within a finite field or ring. For example, computing -$d \equiv a^b \mbox{ (mod }c\mbox{)}$ is a modular exponentiation. Instead of first computing $a^b$ and then reducing it -modulo $c$ the intermediate result is reduced modulo $c$ after every squaring or multiplication operation. +Modular exponentiation is essentially computing the power of a base within a finite field or ring. For example, computing +$d \equiv a^b \mbox{ (mod }c\mbox{)}$ is a modular exponentiation. Instead of first computing $a^b$ and then reducing it +modulo $c$ the intermediate result is reduced modulo $c$ after every squaring or multiplication operation. This guarantees that any intermediate result is bounded by $0 \le d \le c^2 - 2c + 1$ and can be reduced modulo $c$ quickly using -one of the algorithms presented in ~REDUCTION~. +one of the algorithms presented in ~REDUCTION~. Before the actual modular exponentiation algorithm can be written a wrapper algorithm must be written first. This algorithm will allow the exponent $b$ to be negative which is computed as $c \equiv \left (1 / a \right )^{\vert b \vert} \mbox{(mod }d\mbox{)}$. The value of $(1/a) \mbox{ mod }c$ is computed using the modular inverse (\textit{see \ref{sec;modinv}}). If no inverse exists the algorithm -terminates with an error. +terminates with an error. \begin{figure}[!here] \begin{small} @@ -4764,10 +4753,10 @@ terminates with an error. \end{figure} \textbf{Algorithm mp\_exptmod.} -The first algorithm which actually performs modular exponentiation is algorithm s\_mp\_exptmod. It is a sliding window $k$-ary algorithm -which uses Barrett reduction to reduce the product modulo $p$. The second algorithm mp\_exptmod\_fast performs the same operation +The first algorithm which actually performs modular exponentiation is algorithm s\_mp\_exptmod. It is a sliding window $k$-ary algorithm +which uses Barrett reduction to reduce the product modulo $p$. The second algorithm mp\_exptmod\_fast performs the same operation except it uses either Montgomery or Diminished Radix reduction. The two latter reduction algorithms are clumped in the same exponentiation -algorithm since their arguments are essentially the same (\textit{two mp\_ints and one mp\_digit}). +algorithm since their arguments are essentially the same (\textit{two mp\_ints and one mp\_digit}). EXAM,bn_mp_exptmod.c @@ -4776,7 +4765,7 @@ negative the algorithm tries to perform a modular exponentiation with the modula the modular inverse of $G$ and $tmpX$ is assigned the absolute value of $X$. The algorithm will recuse with these new values with a positive exponent. -If the exponent is positive the algorithm resumes the exponentiation. Line @63,dr_@ determines if the modulus is of the restricted Diminished Radix +If the exponent is positive the algorithm resumes the exponentiation. Line @63,dr_@ determines if the modulus is of the restricted Diminished Radix form. If it is not line @65,reduce@ attempts to determine if it is of a unrestricted Diminished Radix form. The integer $dr$ will take on one of three values. @@ -4787,7 +4776,7 @@ of three values. \end{enumerate} Line @69,if@ determines if the fast modular exponentiation algorithm can be used. It is allowed if $dr \ne 0$ or if the modulus is odd. Otherwise, -the slower s\_mp\_exptmod algorithm is used which uses Barrett reduction. +the slower s\_mp\_exptmod algorithm is used which uses Barrett reduction. \subsection{Barrett Modular Exponentiation} @@ -4892,9 +4881,9 @@ No more windows left. Check for residual bits of exponent. \\ This algorithm computes the $x$'th power of $g$ modulo $p$ and stores the result in $y$. It takes advantage of the Barrett reduction algorithm to keep the product small throughout the algorithm. -The first two steps determine the optimal window size based on the number of bits in the exponent. The larger the exponent the +The first two steps determine the optimal window size based on the number of bits in the exponent. The larger the exponent the larger the window size becomes. After a window size $winsize$ has been chosen an array of $2^{winsize}$ mp\_int variables is allocated. This -table will hold the values of $g^x \mbox{ (mod }p\mbox{)}$ for $2^{winsize - 1} \le x < 2^{winsize}$. +table will hold the values of $g^x \mbox{ (mod }p\mbox{)}$ for $2^{winsize - 1} \le x < 2^{winsize}$. After the table is allocated the first power of $g$ is found. Since $g \ge p$ is allowed it must be first reduced modulo $p$ to make the rest of the algorithm more efficient. The first element of the table at $2^{winsize - 1}$ is found by squaring $M_1$ successively $winsize - 2$ @@ -4902,49 +4891,49 @@ times. The rest of the table elements are found by multiplying the previous ele Now that the table is available the sliding window may begin. The following list describes the functions of all the variables in the window. \begin{enumerate} -\item The variable $mode$ dictates how the bits of the exponent are interpreted. +\item The variable $mode$ dictates how the bits of the exponent are interpreted. \begin{enumerate} - \item When $mode = 0$ the bits are ignored since no non-zero bit of the exponent has been seen yet. For example, if the exponent were simply - $1$ then there would be $lg(\beta) - 1$ zero bits before the first non-zero bit. In this case bits are ignored until a non-zero bit is found. - \item When $mode = 1$ a non-zero bit has been seen before and a new $winsize$-bit window has not been formed yet. In this mode leading $0$ bits - are read and a single squaring is performed. If a non-zero bit is read a new window is created. + \item When $mode = 0$ the bits are ignored since no non-zero bit of the exponent has been seen yet. For example, if the exponent were simply + $1$ then there would be $lg(\beta) - 1$ zero bits before the first non-zero bit. In this case bits are ignored until a non-zero bit is found. + \item When $mode = 1$ a non-zero bit has been seen before and a new $winsize$-bit window has not been formed yet. In this mode leading $0$ bits + are read and a single squaring is performed. If a non-zero bit is read a new window is created. \item When $mode = 2$ the algorithm is in the middle of forming a window and new bits are appended to the window from the most significant bit downwards. \end{enumerate} \item The variable $bitcnt$ indicates how many bits are left in the current digit of the exponent left to be read. When it reaches zero a new digit is fetched from the exponent. -\item The variable $buf$ holds the currently read digit of the exponent. +\item The variable $buf$ holds the currently read digit of the exponent. \item The variable $digidx$ is an index into the exponents digits. It starts at the leading digit $x.used - 1$ and moves towards the trailing digit. \item The variable $bitcpy$ indicates how many bits are in the currently formed window. When it reaches $winsize$ the window is flushed and the appropriate operations performed. -\item The variable $bitbuf$ holds the current bits of the window being formed. +\item The variable $bitbuf$ holds the current bits of the window being formed. \end{enumerate} All of step 12 is the window processing loop. It will iterate while there are digits available form the exponent to read. The first step inside this loop is to extract a new digit if no more bits are available in the current digit. If there are no bits left a new digit is -read and if there are no digits left than the loop terminates. +read and if there are no digits left than the loop terminates. After a digit is made available step 12.3 will extract the most significant bit of the current digit and move all other bits in the digit -upwards. In effect the digit is read from most significant bit to least significant bit and since the digits are read from leading to +upwards. In effect the digit is read from most significant bit to least significant bit and since the digits are read from leading to trailing edges the entire exponent is read from most significant bit to least significant bit. -At step 12.5 if the $mode$ and currently extracted bit $y$ are both zero the bit is ignored and the next bit is read. This prevents the +At step 12.5 if the $mode$ and currently extracted bit $y$ are both zero the bit is ignored and the next bit is read. This prevents the algorithm from having to perform trivial squaring and reduction operations before the first non-zero bit is read. Step 12.6 and 12.7-10 handle -the two cases of $mode = 1$ and $mode = 2$ respectively. +the two cases of $mode = 1$ and $mode = 2$ respectively. FIGU,expt_state,Sliding Window State Diagram -By step 13 there are no more digits left in the exponent. However, there may be partial bits in the window left. If $mode = 2$ then -a Left-to-Right algorithm is used to process the remaining few bits. +By step 13 there are no more digits left in the exponent. However, there may be partial bits in the window left. If $mode = 2$ then +a Left-to-Right algorithm is used to process the remaining few bits. EXAM,bn_s_mp_exptmod.c Lines @31,if@ through @45,}@ determine the optimal window size based on the length of the exponent in bits. The window divisions are sorted -from smallest to greatest so that in each \textbf{if} statement only one condition must be tested. For example, by the \textbf{if} statement -on line @37,if@ the value of $x$ is already known to be greater than $140$. +from smallest to greatest so that in each \textbf{if} statement only one condition must be tested. For example, by the \textbf{if} statement +on line @37,if@ the value of $x$ is already known to be greater than $140$. The conditional piece of code beginning on line @42,ifdef@ allows the window size to be restricted to five bits. This logic is used to ensure -the table of precomputed powers of $G$ remains relatively small. +the table of precomputed powers of $G$ remains relatively small. The for loop on line @60,for@ initializes the $M$ array while lines @71,mp_init@ and @75,mp_reduce@ through @85,}@ initialize the reduction function that will be used for this modulus. @@ -4982,11 +4971,11 @@ EXAM,bn_mp_2expt.c \chapter{Higher Level Algorithms} This chapter discusses the various higher level algorithms that are required to complete a well rounded multiple precision integer package. These -routines are less performance oriented than the algorithms of chapters five, six and seven but are no less important. +routines are less performance oriented than the algorithms of chapters five, six and seven but are no less important. The first section describes a method of integer division with remainder that is universally well known. It provides the signed division logic -for the package. The subsequent section discusses a set of algorithms which allow a single digit to be the 2nd operand for a variety of operations. -These algorithms serve mostly to simplify other algorithms where small constants are required. The last two sections discuss how to manipulate +for the package. The subsequent section discusses a set of algorithms which allow a single digit to be the 2nd operand for a variety of operations. +These algorithms serve mostly to simplify other algorithms where small constants are required. The last two sections discuss how to manipulate various representations of integers. For example, converting from an mp\_int to a string of character. \section{Integer Division with Remainder} @@ -4994,7 +4983,7 @@ various representations of integers. For example, converting from an mp\_int to Integer division aside from modular exponentiation is the most intensive algorithm to compute. Like addition, subtraction and multiplication the basis of this algorithm is the long-hand division algorithm taught to school children. Throughout this discussion several common variables -will be used. Let $x$ represent the divisor and $y$ represent the dividend. Let $q$ represent the integer quotient $\lfloor y / x \rfloor$ and +will be used. Let $x$ represent the divisor and $y$ represent the dividend. Let $q$ represent the integer quotient $\lfloor y / x \rfloor$ and let $r$ represent the remainder $r = y - x \lfloor y / x \rfloor$. The following simple algorithm will be used to start the discussion. \newpage\begin{figure}[!here] @@ -5024,42 +5013,42 @@ let $r$ represent the remainder $r = y - x \lfloor y / x \rfloor$. The followin As children we are taught this very simple algorithm for the case of $\beta = 10$. Almost instinctively several optimizations are taught for which their reason of existing are never explained. For this example let $y = 5471$ represent the dividend and $x = 23$ represent the divisor. -To find the first digit of the quotient the value of $k$ must be maximized such that $kx\beta^t$ is less than or equal to $y$ and +To find the first digit of the quotient the value of $k$ must be maximized such that $kx\beta^t$ is less than or equal to $y$ and simultaneously $(k + 1)x\beta^t$ is greater than $y$. Implicitly $k$ is the maximum value the $t$'th digit of the quotient may have. The habitual method used to find the maximum is to ``eyeball'' the two numbers, typically only the leading digits and quickly estimate a quotient. By only using leading -digits a much simpler division may be used to form an educated guess at what the value must be. In this case $k = \lfloor 54/23\rfloor = 2$ quickly -arises as a possible solution. Indeed $2x\beta^2 = 4600$ is less than $y = 5471$ and simultaneously $(k + 1)x\beta^2 = 6900$ is larger than $y$. +digits a much simpler division may be used to form an educated guess at what the value must be. In this case $k = \lfloor 54/23\rfloor = 2$ quickly +arises as a possible solution. Indeed $2x\beta^2 = 4600$ is less than $y = 5471$ and simultaneously $(k + 1)x\beta^2 = 6900$ is larger than $y$. As a result $k\beta^2$ is added to the quotient which now equals $q = 200$ and $4600$ is subtracted from $y$ to give a remainder of $y = 841$. -Again this process is repeated to produce the quotient digit $k = 3$ which makes the quotient $q = 200 + 3\beta = 230$ and the remainder +Again this process is repeated to produce the quotient digit $k = 3$ which makes the quotient $q = 200 + 3\beta = 230$ and the remainder $y = 841 - 3x\beta = 181$. Finally the last iteration of the loop produces $k = 7$ which leads to the quotient $q = 230 + 7 = 237$ and the -remainder $y = 181 - 7x = 20$. The final quotient and remainder found are $q = 237$ and $r = y = 20$ which are indeed correct since -$237 \cdot 23 + 20 = 5471$ is true. +remainder $y = 181 - 7x = 20$. The final quotient and remainder found are $q = 237$ and $r = y = 20$ which are indeed correct since +$237 \cdot 23 + 20 = 5471$ is true. \subsection{Quotient Estimation} \label{sec:divest} As alluded to earlier the quotient digit $k$ can be estimated from only the leading digits of both the divisor and dividend. When $p$ leading digits are used from both the divisor and dividend to form an estimation the accuracy of the estimation rises as $p$ grows. Technically speaking the estimation is based on assuming the lower $\vert \vert y \vert \vert - p$ and $\vert \vert x \vert \vert - p$ lower digits of the -dividend and divisor are zero. +dividend and divisor are zero. The value of the estimation may off by a few values in either direction and in general is fairly correct. A simplification \cite[pp. 271]{TAOCPV2} -of the estimation technique is to use $t + 1$ digits of the dividend and $t$ digits of the divisor, in particularly when $t = 1$. The estimate -using this technique is never too small. For the following proof let $t = \vert \vert y \vert \vert - 1$ and $s = \vert \vert x \vert \vert - 1$ +of the estimation technique is to use $t + 1$ digits of the dividend and $t$ digits of the divisor, in particularly when $t = 1$. The estimate +using this technique is never too small. For the following proof let $t = \vert \vert y \vert \vert - 1$ and $s = \vert \vert x \vert \vert - 1$ represent the most significant digits of the dividend and divisor respectively. -\textbf{Proof.}\textit{ The quotient $\hat k = \lfloor (y_t\beta + y_{t-1}) / x_s \rfloor$ is greater than or equal to +\textbf{Proof.}\textit{ The quotient $\hat k = \lfloor (y_t\beta + y_{t-1}) / x_s \rfloor$ is greater than or equal to $k = \lfloor y / (x \cdot \beta^{\vert \vert y \vert \vert - \vert \vert x \vert \vert - 1}) \rfloor$. } -The first obvious case is when $\hat k = \beta - 1$ in which case the proof is concluded since the real quotient cannot be larger. For all other +The first obvious case is when $\hat k = \beta - 1$ in which case the proof is concluded since the real quotient cannot be larger. For all other cases $\hat k = \lfloor (y_t\beta + y_{t-1}) / x_s \rfloor$ and $\hat k x_s \ge y_t\beta + y_{t-1} - x_s + 1$. The latter portion of the inequalility -$-x_s + 1$ arises from the fact that a truncated integer division will give the same quotient for at most $x_s - 1$ values. Next a series of +$-x_s + 1$ arises from the fact that a truncated integer division will give the same quotient for at most $x_s - 1$ values. Next a series of inequalities will prove the hypothesis. \begin{equation} y - \hat k x \le y - \hat k x_s\beta^s \end{equation} -This is trivially true since $x \ge x_s\beta^s$. Next we replace $\hat kx_s\beta^s$ by the previous inequality for $\hat kx_s$. +This is trivially true since $x \ge x_s\beta^s$. Next we replace $\hat kx_s\beta^s$ by the previous inequality for $\hat kx_s$. \begin{equation} y - \hat k x \le y_t\beta^t + \ldots + y_0 - (y_t\beta^t + y_{t-1}\beta^{t-1} - x_s\beta^t + \beta^s) @@ -5084,13 +5073,13 @@ Which proves that $y - \hat kx \le x$ and by consequence $\hat k \ge k$ which co For the purposes of division a normalized input is when the divisors leading digit $x_n$ is greater than or equal to $\beta / 2$. By multiplying both $x$ and $y$ by $j = \lfloor (\beta / 2) / x_n \rfloor$ the quotient remains unchanged and the remainder is simply $j$ times the original remainder. The purpose of normalization is to ensure the leading digit of the divisor is sufficiently large such that the estimated quotient will -lie in the domain of a single digit. Consider the maximum dividend $(\beta - 1) \cdot \beta + (\beta - 1)$ and the minimum divisor $\beta / 2$. +lie in the domain of a single digit. Consider the maximum dividend $(\beta - 1) \cdot \beta + (\beta - 1)$ and the minimum divisor $\beta / 2$. -\begin{equation} -{{\beta^2 - 1} \over { \beta / 2}} \le 2\beta - {2 \over \beta} +\begin{equation} +{{\beta^2 - 1} \over { \beta / 2}} \le 2\beta - {2 \over \beta} \end{equation} -At most the quotient approaches $2\beta$, however, in practice this will not occur since that would imply the previous quotient digit was too small. +At most the quotient approaches $2\beta$, however, in practice this will not occur since that would imply the previous quotient digit was too small. \subsection{Radix-$\beta$ Division with Remainder} \newpage\begin{figure}[!here] @@ -5188,23 +5177,23 @@ Finalize the result. \\ This algorithm will calculate quotient and remainder from an integer division given a dividend and divisor. The algorithm is a signed division and will produce a fully qualified quotient and remainder. -First the divisor $b$ must be non-zero which is enforced in step one. If the divisor is larger than the dividend than the quotient is implicitly -zero and the remainder is the dividend. +First the divisor $b$ must be non-zero which is enforced in step one. If the divisor is larger than the dividend than the quotient is implicitly +zero and the remainder is the dividend. After the first two trivial cases of inputs are handled the variable $q$ is setup to receive the digits of the quotient. Two unsigned copies of the divisor $y$ and dividend $x$ are made as well. The core of the division algorithm is an unsigned division and will only work if the values are -positive. Now the two values $x$ and $y$ must be normalized such that the leading digit of $y$ is greater than or equal to $\beta / 2$. -This is performed by shifting both to the left by enough bits to get the desired normalization. +positive. Now the two values $x$ and $y$ must be normalized such that the leading digit of $y$ is greater than or equal to $\beta / 2$. +This is performed by shifting both to the left by enough bits to get the desired normalization. -At this point the division algorithm can begin producing digits of the quotient. Recall that maximum value of the estimation used is +At this point the division algorithm can begin producing digits of the quotient. Recall that maximum value of the estimation used is $2\beta - {2 \over \beta}$ which means that a digit of the quotient must be first produced by another means. In this case $y$ is shifted -to the left (\textit{step ten}) so that it has the same number of digits as $x$. The loop on step eleven will subtract multiples of the +to the left (\textit{step ten}) so that it has the same number of digits as $x$. The loop on step eleven will subtract multiples of the shifted copy of $y$ until $x$ is smaller. Since the leading digit of $y$ is greater than or equal to $\beta/2$ this loop will iterate at most two -times to produce the desired leading digit of the quotient. +times to produce the desired leading digit of the quotient. Now the remainder of the digits can be produced. The equation $\hat q = \lfloor {{x_i \beta + x_{i-1}}\over y_t} \rfloor$ is used to fairly accurately approximate the true quotient digit. The estimation can in theory produce an estimation as high as $2\beta - {2 \over \beta}$ but by -induction the upper quotient digit is correct (\textit{as established on step eleven}) and the estimate must be less than $\beta$. +induction the upper quotient digit is correct (\textit{as established on step eleven}) and the estimate must be less than $\beta$. Recall from section~\ref{sec:divest} that the estimation is never too low but may be too high. The next step of the estimation process is to refine the estimation. The loop on step 13.5 uses $x_i\beta^2 + x_{i-1}\beta + x_{i-2}$ and $q_{i - t - 1}(y_t\beta + y_{t-1})$ as a higher @@ -5212,51 +5201,51 @@ order approximation to adjust the quotient digit. After both phases of estimation the quotient digit may still be off by a value of one\footnote{This is similar to the error introduced by optimizing Barrett reduction.}. Steps 13.6 and 13.7 subtract the multiple of the divisor from the dividend (\textit{Similar to step 3.3 of -algorithm~\ref{fig:raddiv}} and then subsequently add a multiple of the divisor if the quotient was too large. +algorithm~\ref{fig:raddiv}} and then subsequently add a multiple of the divisor if the quotient was too large. -Now that the quotient has been determine finializing the result is a matter of clamping the quotient, fixing the sizes and de-normalizing the +Now that the quotient has been determine finializing the result is a matter of clamping the quotient, fixing the sizes and de-normalizing the remainder. An important aspect of this algorithm seemingly overlooked in other descriptions such as that of Algorithm 14.20 HAC \cite[pp. 598]{HAC} -is that when the estimations are being made (\textit{inside the loop on step 13.5}) that the digits $y_{t-1}$, $x_{i-2}$ and $x_{i-1}$ may lie +is that when the estimations are being made (\textit{inside the loop on step 13.5}) that the digits $y_{t-1}$, $x_{i-2}$ and $x_{i-1}$ may lie outside their respective boundaries. For example, if $t = 0$ or $i \le 1$ then the digits would be undefined. In those cases the digits should -respectively be replaced with a zero. +respectively be replaced with a zero. EXAM,bn_mp_div.c The implementation of this algorithm differs slightly from the pseudo code presented previously. In this algorithm either of the quotient $c$ or remainder $d$ may be passed as a \textbf{NULL} pointer which indicates their value is not desired. For example, the C code to call the division -algorithm with only the quotient is +algorithm with only the quotient is \begin{verbatim} mp_div(&a, &b, &c, NULL); /* c = [a/b] */ \end{verbatim} -Lines @108,if@ and @113,if@ handle the two trivial cases of inputs which are division by zero and dividend smaller than the divisor -respectively. After the two trivial cases all of the temporary variables are initialized. Line @147,neg@ determines the sign of -the quotient and line @148,sign@ ensures that both $x$ and $y$ are positive. +Lines @108,if@ and @113,if@ handle the two trivial cases of inputs which are division by zero and dividend smaller than the divisor +respectively. After the two trivial cases all of the temporary variables are initialized. Line @147,neg@ determines the sign of +the quotient and line @148,sign@ ensures that both $x$ and $y$ are positive. The number of bits in the leading digit is calculated on line @151,norm@. Implictly an mp\_int with $r$ digits will require $lg(\beta)(r-1) + k$ bits of precision which when reduced modulo $lg(\beta)$ produces the value of $k$. In this case $k$ is the number of bits in the leading digit which is exactly what is required. For the algorithm to operate $k$ must equal $lg(\beta) - 1$ and when it does not the inputs must be normalized by shifting them to the left by $lg(\beta) - 1 - k$ bits. -Throughout the variables $n$ and $t$ will represent the highest digit of $x$ and $y$ respectively. These are first used to produce the +Throughout the variables $n$ and $t$ will represent the highest digit of $x$ and $y$ respectively. These are first used to produce the leading digit of the quotient. The loop beginning on line @184,for@ will produce the remainder of the quotient digits. The conditional ``continue'' on line @186,continue@ is used to prevent the algorithm from reading past the leading edge of $x$ which can occur when the algorithm eliminates multiple non-zero digits in a single iteration. This ensures that $x_i$ is always non-zero since by definition the digits -above the $i$'th position $x$ must be zero in order for the quotient to be precise\footnote{Precise as far as integer division is concerned.}. +above the $i$'th position $x$ must be zero in order for the quotient to be precise\footnote{Precise as far as integer division is concerned.}. -Lines @214,t1@, @216,t1@ and @222,t2@ through @225,t2@ manually construct the high accuracy estimations by setting the digits of the two mp\_int -variables directly. +Lines @214,t1@, @216,t1@ and @222,t2@ through @225,t2@ manually construct the high accuracy estimations by setting the digits of the two mp\_int +variables directly. \section{Single Digit Helpers} -This section briefly describes a series of single digit helper algorithms which come in handy when working with small constants. All of +This section briefly describes a series of single digit helper algorithms which come in handy when working with small constants. All of the helper functions assume the single digit input is positive and will treat them as such. \subsection{Single Digit Addition and Subtraction} -Both addition and subtraction are performed by ``cheating'' and using mp\_set followed by the higher level addition or subtraction +Both addition and subtraction are performed by ``cheating'' and using mp\_set followed by the higher level addition or subtraction algorithms. As a result these algorithms are subtantially simpler with a slight cost in performance. \newpage\begin{figure}[!here] @@ -5322,17 +5311,17 @@ only has one digit. \caption{Algorithm mp\_mul\_d} \end{figure} \textbf{Algorithm mp\_mul\_d.} -This algorithm quickly multiplies an mp\_int by a small single digit value. It is specially tailored to the job and has a minimal of overhead. -Unlike the full multiplication algorithms this algorithm does not require any significnat temporary storage or memory allocations. +This algorithm quickly multiplies an mp\_int by a small single digit value. It is specially tailored to the job and has a minimal of overhead. +Unlike the full multiplication algorithms this algorithm does not require any significnat temporary storage or memory allocations. EXAM,bn_mp_mul_d.c -In this implementation the destination $c$ may point to the same mp\_int as the source $a$ since the result is written after the digit is -read from the source. This function uses pointer aliases $tmpa$ and $tmpc$ for the digits of $a$ and $c$ respectively. +In this implementation the destination $c$ may point to the same mp\_int as the source $a$ since the result is written after the digit is +read from the source. This function uses pointer aliases $tmpa$ and $tmpc$ for the digits of $a$ and $c$ respectively. \subsection{Single Digit Division} Like the single digit multiplication algorithm, single digit division is also a fairly common algorithm used in radix conversion. Since the -divisor is only a single digit a specialized variant of the division algorithm can be used to compute the quotient. +divisor is only a single digit a specialized variant of the division algorithm can be used to compute the quotient. \newpage\begin{figure}[!here] \begin{small} @@ -5369,35 +5358,35 @@ divisor is only a single digit a specialized variant of the division algorithm c \textbf{Algorithm mp\_div\_d.} This algorithm divides the mp\_int $a$ by the single mp\_digit $b$ using an optimized approach. Essentially in every iteration of the algorithm another digit of the dividend is reduced and another digit of quotient produced. Provided $b < \beta$ the value of $\hat w$ -after step 7.1 will be limited such that $0 \le \lfloor \hat w / b \rfloor < \beta$. +after step 7.1 will be limited such that $0 \le \lfloor \hat w / b \rfloor < \beta$. If the divisor $b$ is equal to three a variant of this algorithm is used which is called mp\_div\_3. It replaces the division by three with a multiplication by $\lfloor \beta / 3 \rfloor$ and the appropriate shift and residual fixup. In essence it is much like the Barrett reduction -from chapter seven. +from chapter seven. EXAM,bn_mp_div_d.c Like the implementation of algorithm mp\_div this algorithm allows either of the quotient or remainder to be passed as a \textbf{NULL} pointer to indicate the respective value is not required. This allows a trivial single digit modular reduction algorithm, mp\_mod\_d to be created. -The division and remainder on lines @44,/@ and @45,%@ can be replaced often by a single division on most processors. For example, the 32-bit x86 based -processors can divide a 64-bit quantity by a 32-bit quantity and produce the quotient and remainder simultaneously. Unfortunately the GCC -compiler does not recognize that optimization and will actually produce two function calls to find the quotient and remainder respectively. +The division and remainder on lines @90,/@ and @91,-@ can be replaced often by a single division on most processors. For example, the 32-bit x86 based +processors can divide a 64-bit quantity by a 32-bit quantity and produce the quotient and remainder simultaneously. Unfortunately the GCC +compiler does not recognize that optimization and will actually produce two function calls to find the quotient and remainder respectively. \subsection{Single Digit Root Extraction} -Finding the $n$'th root of an integer is fairly easy as far as numerical analysis is concerned. Algorithms such as the Newton-Raphson approximation -(\ref{eqn:newton}) series will converge very quickly to a root for any continuous function $f(x)$. +Finding the $n$'th root of an integer is fairly easy as far as numerical analysis is concerned. Algorithms such as the Newton-Raphson approximation +(\ref{eqn:newton}) series will converge very quickly to a root for any continuous function $f(x)$. \begin{equation} x_{i+1} = x_i - {f(x_i) \over f'(x_i)} \label{eqn:newton} \end{equation} -In this case the $n$'th root is desired and $f(x) = x^n - a$ where $a$ is the integer of which the root is desired. The derivative of $f(x)$ is +In this case the $n$'th root is desired and $f(x) = x^n - a$ where $a$ is the integer of which the root is desired. The derivative of $f(x)$ is simply $f'(x) = nx^{n - 1}$. Of particular importance is that this algorithm will be used over the integers not over the a more continuous domain -such as the real numbers. As a result the root found can be above the true root by few and must be manually adjusted. Ideally at the end of the -algorithm the $n$'th root $b$ of an integer $a$ is desired such that $b^n \le a$. +such as the real numbers. As a result the root found can be above the true root by few and must be manually adjusted. Ideally at the end of the +algorithm the $n$'th root $b$ of an integer $a$ is desired such that $b^n \le a$. \newpage\begin{figure}[!here] \begin{small} @@ -5438,19 +5427,19 @@ algorithm the $n$'th root $b$ of an integer $a$ is desired such that $b^n \le a$ \textbf{Algorithm mp\_n\_root.} This algorithm finds the integer $n$'th root of an input using the Newton-Raphson approach. It is partially optimized based on the observation that the numerator of ${f(x) \over f'(x)}$ can be derived from a partial denominator. That is at first the denominator is calculated by finding -$x^{b - 1}$. This value can then be multiplied by $x$ and have $a$ subtracted from it to find the numerator. This saves a total of $b - 1$ -multiplications by t$1$ inside the loop. +$x^{b - 1}$. This value can then be multiplied by $x$ and have $a$ subtracted from it to find the numerator. This saves a total of $b - 1$ +multiplications by t$1$ inside the loop. The initial value of the approximation is t$2 = 2$ which allows the algorithm to start with very small values and quickly converge on the -root. Ideally this algorithm is meant to find the $n$'th root of an input where $n$ is bounded by $2 \le n \le 5$. +root. Ideally this algorithm is meant to find the $n$'th root of an input where $n$ is bounded by $2 \le n \le 5$. EXAM,bn_mp_n_root.c \section{Random Number Generation} -Random numbers come up in a variety of activities from public key cryptography to simple simulations and various randomized algorithms. Pollard-Rho +Random numbers come up in a variety of activities from public key cryptography to simple simulations and various randomized algorithms. Pollard-Rho factoring for example, can make use of random values as starting points to find factors of a composite integer. In this case the algorithm presented -is solely for simulations and not intended for cryptographic use. +is solely for simulations and not intended for cryptographic use. \newpage\begin{figure}[!here] \begin{small} @@ -5478,7 +5467,7 @@ is solely for simulations and not intended for cryptographic use. \textbf{Algorithm mp\_rand.} This algorithm produces a pseudo-random integer of $b$ digits. By ensuring that the first digit is non-zero the algorithm also guarantees that the final result has at least $b$ digits. It relies heavily on a third-part random number generator which should ideally generate uniformly all of -the integers from $0$ to $\beta - 1$. +the integers from $0$ to $\beta - 1$. EXAM,bn_mp_rand.c @@ -5488,7 +5477,7 @@ be given a string of characters such as ``114585'' and turn it into the radix-$\ into a program. \subsection{Reading Radix-n Input} -For the purposes of this text we will assume that a simple lower ASCII map (\ref{fig:ASC}) is used for the values of from $0$ to $63$ to +For the purposes of this text we will assume that a simple lower ASCII map (\ref{fig:ASC}) is used for the values of from $0$ to $63$ to printable characters. For example, when the character ``N'' is read it represents the integer $23$. The first $16$ characters of the map are for the common representations up to hexadecimal. After that they match the ``base64'' encoding scheme which are suitable chosen such that they are printable. While outputting as base64 may not be too helpful for human operators it does allow communication via non binary @@ -5498,7 +5487,7 @@ mediums. \begin{center} \begin{tabular}{cc|cc|cc|cc} \hline \textbf{Value} & \textbf{Char} & \textbf{Value} & \textbf{Char} & \textbf{Value} & \textbf{Char} & \textbf{Value} & \textbf{Char} \\ -\hline +\hline 0 & 0 & 1 & 1 & 2 & 2 & 3 & 3 \\ 4 & 4 & 5 & 5 & 6 & 6 & 7 & 7 \\ 8 & 8 & 9 & 9 & 10 & A & 11 & B \\ @@ -5552,7 +5541,7 @@ mediums. \caption{Algorithm mp\_read\_radix} \end{figure} \textbf{Algorithm mp\_read\_radix.} -This algorithm will read an ASCII string and produce the radix-$\beta$ mp\_int representation of the same integer. A minus symbol ``-'' may precede the +This algorithm will read an ASCII string and produce the radix-$\beta$ mp\_int representation of the same integer. A minus symbol ``-'' may precede the string to indicate the value is negative, otherwise it is assumed to be positive. The algorithm will read up to $sn$ characters from the input and will stop when it reads a character it cannot map the algorithm stops reading characters from the string. This allows numbers to be embedded as part of larger input without any significant problem. @@ -5560,7 +5549,7 @@ as part of larger input without any significant problem. EXAM,bn_mp_read_radix.c \subsection{Generating Radix-$n$ Output} -Generating radix-$n$ output is fairly trivial with a division and remainder algorithm. +Generating radix-$n$ output is fairly trivial with a division and remainder algorithm. \newpage\begin{figure}[!here] \begin{small} @@ -5594,10 +5583,10 @@ Generating radix-$n$ output is fairly trivial with a division and remainder algo \caption{Algorithm mp\_toradix} \end{figure} \textbf{Algorithm mp\_toradix.} -This algorithm computes the radix-$r$ representation of an mp\_int $a$. The ``digits'' of the representation are extracted by reducing +This algorithm computes the radix-$r$ representation of an mp\_int $a$. The ``digits'' of the representation are extracted by reducing successive powers of $\lfloor a / r^k \rfloor$ the input modulo $r$ until $r^k > a$. Note that instead of actually dividing by $r^k$ in each iteration the quotient $\lfloor a / r \rfloor$ is saved for the next iteration. As a result a series of trivial $n \times 1$ divisions -are required instead of a series of $n \times k$ divisions. One design flaw of this approach is that the digits are produced in the reverse order +are required instead of a series of $n \times k$ divisions. One design flaw of this approach is that the digits are produced in the reverse order (see~\ref{fig:mpradix}). To remedy this flaw the digits must be swapped or simply ``reversed''. \begin{figure} @@ -5619,7 +5608,7 @@ are required instead of a series of $n \times k$ divisions. One design flaw of EXAM,bn_mp_toradix.c \chapter{Number Theoretic Algorithms} -This chapter discusses several fundamental number theoretic algorithms such as the greatest common divisor, least common multiple and Jacobi +This chapter discusses several fundamental number theoretic algorithms such as the greatest common divisor, least common multiple and Jacobi symbol computation. These algorithms arise as essential components in several key cryptographic algorithms such as the RSA public key algorithm and various Sieve based factoring algorithms. @@ -5629,7 +5618,7 @@ both $a$ and $b$. That is, $k$ is the largest integer such that $0 \equiv a \mb simultaneously. The most common approach (cite) is to reduce one input modulo another. That is if $a$ and $b$ are divisible by some integer $k$ and if $qa + r = b$ then -$r$ is also divisible by $k$. The reduction pattern follows $\left < a , b \right > \rightarrow \left < b, a \mbox{ mod } b \right >$. +$r$ is also divisible by $k$. The reduction pattern follows $\left < a , b \right > \rightarrow \left < b, a \mbox{ mod } b \right >$. \newpage\begin{figure}[!here] \begin{small} @@ -5653,9 +5642,9 @@ $r$ is also divisible by $k$. The reduction pattern follows $\left < a , b \rig \end{figure} This algorithm will quickly converge on the greatest common divisor since the residue $r$ tends diminish rapidly. However, divisions are -relatively expensive operations to perform and should ideally be avoided. There is another approach based on a similar relationship of -greatest common divisors. The faster approach is based on the observation that if $k$ divides both $a$ and $b$ it will also divide $a - b$. -In particular, we would like $a - b$ to decrease in magnitude which implies that $b \ge a$. +relatively expensive operations to perform and should ideally be avoided. There is another approach based on a similar relationship of +greatest common divisors. The faster approach is based on the observation that if $k$ divides both $a$ and $b$ it will also divide $a - b$. +In particular, we would like $a - b$ to decrease in magnitude which implies that $b \ge a$. \begin{figure}[!here] \begin{small} @@ -5679,17 +5668,17 @@ In particular, we would like $a - b$ to decrease in magnitude which implies that \textbf{Proof} \textit{Algorithm~\ref{fig:gcd2} will return the greatest common divisor of $a$ and $b$.} The algorithm in figure~\ref{fig:gcd2} will eventually terminate since $b \ge a$ the subtraction in step 1.2 will be a value less than $b$. In other -words in every iteration that tuple $\left < a, b \right >$ decrease in magnitude until eventually $a = b$. Since both $a$ and $b$ are always -divisible by the greatest common divisor (\textit{until the last iteration}) and in the last iteration of the algorithm $b = 0$, therefore, in the +words in every iteration that tuple $\left < a, b \right >$ decrease in magnitude until eventually $a = b$. Since both $a$ and $b$ are always +divisible by the greatest common divisor (\textit{until the last iteration}) and in the last iteration of the algorithm $b = 0$, therefore, in the second to last iteration of the algorithm $b = a$ and clearly $(a, a) = a$ which concludes the proof. \textbf{QED}. -As a matter of practicality algorithm \ref{fig:gcd1} decreases far too slowly to be useful. Specially if $b$ is much larger than $a$ such that +As a matter of practicality algorithm \ref{fig:gcd1} decreases far too slowly to be useful. Specially if $b$ is much larger than $a$ such that $b - a$ is still very much larger than $a$. A simple addition to the algorithm is to divide $b - a$ by a power of some integer $p$ which does not divide the greatest common divisor but will divide $b - a$. In this case ${b - a} \over p$ is also an integer and still divisible by the greatest common divisor. -However, instead of factoring $b - a$ to find a suitable value of $p$ the powers of $p$ can be removed from $a$ and $b$ that are in common first. -Then inside the loop whenever $b - a$ is divisible by some power of $p$ it can be safely removed. +However, instead of factoring $b - a$ to find a suitable value of $p$ the powers of $p$ can be removed from $a$ and $b$ that are in common first. +Then inside the loop whenever $b - a$ is divisible by some power of $p$ it can be safely removed. \begin{figure}[!here] \begin{small} @@ -5722,14 +5711,14 @@ Then inside the loop whenever $b - a$ is divisible by some power of $p$ it can b \label{fig:gcd3} \end{figure} -This algorithm is based on the first except it removes powers of $p$ first and inside the main loop to ensure the tuple $\left < a, b \right >$ +This algorithm is based on the first except it removes powers of $p$ first and inside the main loop to ensure the tuple $\left < a, b \right >$ decreases more rapidly. The first loop on step two removes powers of $p$ that are in common. A count, $k$, is kept which will present a common -divisor of $p^k$. After step two the remaining common divisor of $a$ and $b$ cannot be divisible by $p$. This means that $p$ can be safely -divided out of the difference $b - a$ so long as the division leaves no remainder. +divisor of $p^k$. After step two the remaining common divisor of $a$ and $b$ cannot be divisible by $p$. This means that $p$ can be safely +divided out of the difference $b - a$ so long as the division leaves no remainder. In particular the value of $p$ should be chosen such that the division on step 5.3.1 occur often. It also helps that division by $p$ be easy to compute. The ideal choice of $p$ is two since division by two amounts to a right logical shift. Another important observation is that by -step five both $a$ and $b$ are odd. Therefore, the diffrence $b - a$ must be even which means that each iteration removes one bit from the +step five both $a$ and $b$ are odd. Therefore, the diffrence $b - a$ must be even which means that each iteration removes one bit from the largest of the pair. \subsection{Complete Greatest Common Divisor} @@ -5777,15 +5766,15 @@ and will produce the greatest common divisor. \textbf{Algorithm mp\_gcd.} This algorithm will produce the greatest common divisor of two mp\_ints $a$ and $b$. The algorithm was originally based on Algorithm B of Knuth \cite[pp. 338]{TAOCPV2} but has been modified to be simpler to explain. In theory it achieves the same asymptotic working time as -Algorithm B and in practice this appears to be true. +Algorithm B and in practice this appears to be true. -The first two steps handle the cases where either one of or both inputs are zero. If either input is zero the greatest common divisor is the -largest input or zero if they are both zero. If the inputs are not trivial than $u$ and $v$ are assigned the absolute values of +The first two steps handle the cases where either one of or both inputs are zero. If either input is zero the greatest common divisor is the +largest input or zero if they are both zero. If the inputs are not trivial than $u$ and $v$ are assigned the absolute values of $a$ and $b$ respectively and the algorithm will proceed to reduce the pair. Step five will divide out any common factors of two and keep track of the count in the variable $k$. After this step, two is no longer a -factor of the remaining greatest common divisor between $u$ and $v$ and can be safely evenly divided out of either whenever they are even. Step -six and seven ensure that the $u$ and $v$ respectively have no more factors of two. At most only one of the while--loops will iterate since +factor of the remaining greatest common divisor between $u$ and $v$ and can be safely evenly divided out of either whenever they are even. Step +six and seven ensure that the $u$ and $v$ respectively have no more factors of two. At most only one of the while--loops will iterate since they cannot both be even. By step eight both of $u$ and $v$ are odd which is required for the inner logic. First the pair are swapped such that $v$ is equal to @@ -5793,22 +5782,22 @@ or greater than $u$. This ensures that the subtraction on step 8.2 will always factors of two from the difference $u$ to ensure that in the next iteration of the loop both are once again odd. After $v = 0$ occurs the variable $u$ has the greatest common divisor of the pair $\left < u, v \right >$ just after step six. The result -must be adjusted by multiplying by the common factors of two ($2^k$) removed earlier. +must be adjusted by multiplying by the common factors of two ($2^k$) removed earlier. EXAM,bn_mp_gcd.c -This function makes use of the macros mp\_iszero and mp\_iseven. The former evaluates to $1$ if the input mp\_int is equivalent to the +This function makes use of the macros mp\_iszero and mp\_iseven. The former evaluates to $1$ if the input mp\_int is equivalent to the integer zero otherwise it evaluates to $0$. The latter evaluates to $1$ if the input mp\_int represents a non-zero even integer otherwise -it evaluates to $0$. Note that just because mp\_iseven may evaluate to $0$ does not mean the input is odd, it could also be zero. The three +it evaluates to $0$. Note that just because mp\_iseven may evaluate to $0$ does not mean the input is odd, it could also be zero. The three trivial cases of inputs are handled on lines @23,zero@ through @29,}@. After those lines the inputs are assumed to be non-zero. -Lines @32,if@ and @36,if@ make local copies $u$ and $v$ of the inputs $a$ and $b$ respectively. At this point the common factors of two +Lines @32,if@ and @36,if@ make local copies $u$ and $v$ of the inputs $a$ and $b$ respectively. At this point the common factors of two must be divided out of the two inputs. The block starting at line @43,common@ removes common factors of two by first counting the number of trailing -zero bits in both. The local integer $k$ is used to keep track of how many factors of $2$ are pulled out of both values. It is assumed that -the number of factors will not exceed the maximum value of a C ``int'' data type\footnote{Strictly speaking no array in C may have more than -entries than are accessible by an ``int'' so this is not a limitation.}. +zero bits in both. The local integer $k$ is used to keep track of how many factors of $2$ are pulled out of both values. It is assumed that +the number of factors will not exceed the maximum value of a C ``int'' data type\footnote{Strictly speaking no array in C may have more than +entries than are accessible by an ``int'' so this is not a limitation.}. -At this point there are no more common factors of two in the two values. The divisions by a power of two on lines @60,div_2d@ and @67,div_2d@ remove +At this point there are no more common factors of two in the two values. The divisions by a power of two on lines @60,div_2d@ and @67,div_2d@ remove any independent factors of two such that both $u$ and $v$ are guaranteed to be an odd integer before hitting the main body of the algorithm. The while loop on line @72, while@ performs the reduction of the pair until $v$ is equal to zero. The unsigned comparison and subtraction algorithms are used in place of the full signed routines since both values are guaranteed to be positive and the result of the subtraction is guaranteed to be non-negative. @@ -5819,8 +5808,8 @@ least common multiple is normally denoted as $[ a, b ]$ and numerically equivale and $b = 2 \cdot 3 \cdot 3 \cdot 7 = 126$ the least common multiple is ${126 \over {(12, 126)}} = {126 \over 6} = 21$. The least common multiple arises often in coding theory as well as number theory. If two functions have periods of $a$ and $b$ respectively they will -collide, that is be in synchronous states, after only $[ a, b ]$ iterations. This is why, for example, random number generators based on -Linear Feedback Shift Registers (LFSR) tend to use registers with periods which are co-prime (\textit{e.g. the greatest common divisor is one.}). +collide, that is be in synchronous states, after only $[ a, b ]$ iterations. This is why, for example, random number generators based on +Linear Feedback Shift Registers (LFSR) tend to use registers with periods which are co-prime (\textit{e.g. the greatest common divisor is one.}). Similarly in number theory if a composite $n$ has two prime factors $p$ and $q$ then maximal order of any unit of $\Z/n\Z$ will be $[ p - 1, q - 1] $. \begin{figure}[!here] @@ -5848,7 +5837,7 @@ dividing the product of the two inputs by their greatest common divisor. EXAM,bn_mp_lcm.c \section{Jacobi Symbol Computation} -To explain the Jacobi Symbol we shall first discuss the Legendre function\footnote{Arrg. What is the name of this?} off which the Jacobi symbol is +To explain the Jacobi Symbol we shall first discuss the Legendre function\footnote{Arrg. What is the name of this?} off which the Jacobi symbol is defined. The Legendre function computes whether or not an integer $a$ is a quadratic residue modulo an odd prime $p$. Numerically it is equivalent to equation \ref{eqn:legendre}. @@ -5858,9 +5847,9 @@ equivalent to equation \ref{eqn:legendre}. a^{(p-1)/2} \equiv \begin{array}{rl} -1 & \mbox{if }a\mbox{ is a quadratic non-residue.} \\ 0 & \mbox{if }a\mbox{ divides }p\mbox{.} \\ - 1 & \mbox{if }a\mbox{ is a quadratic residue}. + 1 & \mbox{if }a\mbox{ is a quadratic residue}. \end{array} \mbox{ (mod }p\mbox{)} -\label{eqn:legendre} +\label{eqn:legendre} \end{equation} \textbf{Proof.} \textit{Equation \ref{eqn:legendre} correctly identifies the residue status of an integer $a$ modulo a prime $p$.} @@ -5884,7 +5873,7 @@ then the quantity in the braces must be zero. By reduction, \begin{eqnarray} \left (x^2 \right )^{(p-1)/2} - a^{(p-1)/2} \equiv 0 \nonumber \\ \left (x^2 \right )^{(p-1)/2} \equiv a^{(p-1)/2} \nonumber \\ -x^2 \equiv a \mbox{ (mod }p\mbox{)} +x^2 \equiv a \mbox{ (mod }p\mbox{)} \end{eqnarray} As a result there must be a solution to the quadratic equation and in turn $a$ must be a quadratic residue. If $a$ does not divide $p$ and $a$ @@ -5904,47 +5893,47 @@ the Jacobi symbol $\left ( { a \over p } \right )$ is equal to the following equ By inspection if $p$ is prime the Jacobi symbol is equivalent to the Legendre function. The following facts\footnote{See HAC \cite[pp. 72-74]{HAC} for further details.} will be used to derive an efficient Jacobi symbol algorithm. Where $p$ is an odd integer greater than two and $a, b \in \Z$ the -following are true. +following are true. \begin{enumerate} -\item $\left ( { a \over p} \right )$ equals $-1$, $0$ or $1$. +\item $\left ( { a \over p} \right )$ equals $-1$, $0$ or $1$. \item $\left ( { ab \over p} \right ) = \left ( { a \over p} \right )\left ( { b \over p} \right )$. \item If $a \equiv b$ then $\left ( { a \over p} \right ) = \left ( { b \over p} \right )$. \item $\left ( { 2 \over p} \right )$ equals $1$ if $p \equiv 1$ or $7 \mbox{ (mod }8\mbox{)}$. Otherwise, it equals $-1$. -\item $\left ( { a \over p} \right ) \equiv \left ( { p \over a} \right ) \cdot (-1)^{(p-1)(a-1)/4}$. More specifically -$\left ( { a \over p} \right ) = \left ( { p \over a} \right )$ if $p \equiv a \equiv 1 \mbox{ (mod }4\mbox{)}$. +\item $\left ( { a \over p} \right ) \equiv \left ( { p \over a} \right ) \cdot (-1)^{(p-1)(a-1)/4}$. More specifically +$\left ( { a \over p} \right ) = \left ( { p \over a} \right )$ if $p \equiv a \equiv 1 \mbox{ (mod }4\mbox{)}$. \end{enumerate} Using these facts if $a = 2^k \cdot a'$ then \begin{eqnarray} \left ( { a \over p } \right ) = \left ( {{2^k} \over p } \right ) \left ( {a' \over p} \right ) \nonumber \\ - = \left ( {2 \over p } \right )^k \left ( {a' \over p} \right ) + = \left ( {2 \over p } \right )^k \left ( {a' \over p} \right ) \label{eqn:jacobi} \end{eqnarray} -By fact five, +By fact five, \begin{equation} -\left ( { a \over p } \right ) = \left ( { p \over a } \right ) \cdot (-1)^{(p-1)(a-1)/4} +\left ( { a \over p } \right ) = \left ( { p \over a } \right ) \cdot (-1)^{(p-1)(a-1)/4} \end{equation} -Subsequently by fact three since $p \equiv (p \mbox{ mod }a) \mbox{ (mod }a\mbox{)}$ then +Subsequently by fact three since $p \equiv (p \mbox{ mod }a) \mbox{ (mod }a\mbox{)}$ then \begin{equation} -\left ( { a \over p } \right ) = \left ( { {p \mbox{ mod } a} \over a } \right ) \cdot (-1)^{(p-1)(a-1)/4} +\left ( { a \over p } \right ) = \left ( { {p \mbox{ mod } a} \over a } \right ) \cdot (-1)^{(p-1)(a-1)/4} \end{equation} By putting both observations into equation \ref{eqn:jacobi} the following simplified equation is formed. \begin{equation} -\left ( { a \over p } \right ) = \left ( {2 \over p } \right )^k \left ( {{p\mbox{ mod }a'} \over a'} \right ) \cdot (-1)^{(p-1)(a'-1)/4} +\left ( { a \over p } \right ) = \left ( {2 \over p } \right )^k \left ( {{p\mbox{ mod }a'} \over a'} \right ) \cdot (-1)^{(p-1)(a'-1)/4} \end{equation} -The value of $\left ( {{p \mbox{ mod }a'} \over a'} \right )$ can be found by using the same equation recursively. The value of -$\left ( {2 \over p } \right )^k$ equals $1$ if $k$ is even otherwise it equals $\left ( {2 \over p } \right )$. Using this approach the -factors of $p$ do not have to be known. Furthermore, if $(a, p) = 1$ then the algorithm will terminate when the recursion requests the -Jacobi symbol computation of $\left ( {1 \over a'} \right )$ which is simply $1$. +The value of $\left ( {{p \mbox{ mod }a'} \over a'} \right )$ can be found by using the same equation recursively. The value of +$\left ( {2 \over p } \right )^k$ equals $1$ if $k$ is even otherwise it equals $\left ( {2 \over p } \right )$. Using this approach the +factors of $p$ do not have to be known. Furthermore, if $(a, p) = 1$ then the algorithm will terminate when the recursion requests the +Jacobi symbol computation of $\left ( {1 \over a'} \right )$ which is simply $1$. \newpage\begin{figure}[!here] \begin{small} @@ -5988,12 +5977,12 @@ Jacobi symbol computation of $\left ( {1 \over a'} \right )$ which is simply $1$ \end{figure} \textbf{Algorithm mp\_jacobi.} This algorithm computes the Jacobi symbol for an arbitrary positive integer $a$ with respect to an odd integer $p$ greater than three. The algorithm -is based on algorithm 2.149 of HAC \cite[pp. 73]{HAC}. +is based on algorithm 2.149 of HAC \cite[pp. 73]{HAC}. Step numbers one and two handle the trivial cases of $a = 0$ and $a = 1$ respectively. Step five determines the number of two factors in the -input $a$. If $k$ is even than the term $\left ( { 2 \over p } \right )^k$ must always evaluate to one. If $k$ is odd than the term evaluates to one -if $p_0$ is congruent to one or seven modulo eight, otherwise it evaluates to $-1$. After the the $\left ( { 2 \over p } \right )^k$ term is handled -the $(-1)^{(p-1)(a'-1)/4}$ is computed and multiplied against the current product $s$. The latter term evaluates to one if both $p$ and $a'$ +input $a$. If $k$ is even than the term $\left ( { 2 \over p } \right )^k$ must always evaluate to one. If $k$ is odd than the term evaluates to one +if $p_0$ is congruent to one or seven modulo eight, otherwise it evaluates to $-1$. After the the $\left ( { 2 \over p } \right )^k$ term is handled +the $(-1)^{(p-1)(a'-1)/4}$ is computed and multiplied against the current product $s$. The latter term evaluates to one if both $p$ and $a'$ are congruent to one modulo four, otherwise it evaluates to negative one. By step nine if $a'$ does not equal one a recursion is required. Step 9.1 computes $p' \equiv p \mbox{ (mod }a'\mbox{)}$ and will recurse to compute @@ -6001,22 +5990,22 @@ $\left ( {p' \over a'} \right )$ which is multiplied against the current Jacobi EXAM,bn_mp_jacobi.c -As a matter of practicality the variable $a'$ as per the pseudo-code is reprensented by the variable $a1$ since the $'$ symbol is not valid for a C -variable name character. +As a matter of practicality the variable $a'$ as per the pseudo-code is reprensented by the variable $a1$ since the $'$ symbol is not valid for a C +variable name character. The two simple cases of $a = 0$ and $a = 1$ are handled at the very beginning to simplify the algorithm. If the input is non-trivial the algorithm has to proceed compute the Jacobi. The variable $s$ is used to hold the current Jacobi product. Note that $s$ is merely a C ``int'' data type since -the values it may obtain are merely $-1$, $0$ and $1$. +the values it may obtain are merely $-1$, $0$ and $1$. After a local copy of $a$ is made all of the factors of two are divided out and the total stored in $k$. Technically only the least significant -bit of $k$ is required, however, it makes the algorithm simpler to follow to perform an addition. In practice an exclusive-or and addition have the same +bit of $k$ is required, however, it makes the algorithm simpler to follow to perform an addition. In practice an exclusive-or and addition have the same processor requirements and neither is faster than the other. Line @59, if@ through @70, }@ determines the value of $\left ( { 2 \over p } \right )^k$. If the least significant bit of $k$ is zero than $k$ is even and the value is one. Otherwise, the value of $s$ depends on which residue class $p$ belongs to modulo eight. The value of -$(-1)^{(p-1)(a'-1)/4}$ is compute and multiplied against $s$ on lines @73, if@ through @75, }@. +$(-1)^{(p-1)(a'-1)/4}$ is compute and multiplied against $s$ on lines @73, if@ through @75, }@. -Finally, if $a1$ does not equal one the algorithm must recurse and compute $\left ( {p' \over a'} \right )$. +Finally, if $a1$ does not equal one the algorithm must recurse and compute $\left ( {p' \over a'} \right )$. \textit{-- Comment about default $s$ and such...} @@ -6024,31 +6013,31 @@ Finally, if $a1$ does not equal one the algorithm must recurse and compute $\lef \label{sec:modinv} The modular inverse of a number actually refers to the modular multiplicative inverse. Essentially for any integer $a$ such that $(a, p) = 1$ there exist another integer $b$ such that $ab \equiv 1 \mbox{ (mod }p\mbox{)}$. The integer $b$ is called the multiplicative inverse of $a$ which is -denoted as $b = a^{-1}$. Technically speaking modular inversion is a well defined operation for any finite ring or field not just for rings and +denoted as $b = a^{-1}$. Technically speaking modular inversion is a well defined operation for any finite ring or field not just for rings and fields of integers. However, the former will be the matter of discussion. -The simplest approach is to compute the algebraic inverse of the input. That is to compute $b \equiv a^{\Phi(p) - 1}$. If $\Phi(p)$ is the +The simplest approach is to compute the algebraic inverse of the input. That is to compute $b \equiv a^{\Phi(p) - 1}$. If $\Phi(p)$ is the order of the multiplicative subgroup modulo $p$ then $b$ must be the multiplicative inverse of $a$. The proof of which is trivial. \begin{equation} ab \equiv a \left (a^{\Phi(p) - 1} \right ) \equiv a^{\Phi(p)} \equiv a^0 \equiv 1 \mbox{ (mod }p\mbox{)} \end{equation} -However, as simple as this approach may be it has two serious flaws. It requires that the value of $\Phi(p)$ be known which if $p$ is composite -requires all of the prime factors. This approach also is very slow as the size of $p$ grows. +However, as simple as this approach may be it has two serious flaws. It requires that the value of $\Phi(p)$ be known which if $p$ is composite +requires all of the prime factors. This approach also is very slow as the size of $p$ grows. -A simpler approach is based on the observation that solving for the multiplicative inverse is equivalent to solving the linear +A simpler approach is based on the observation that solving for the multiplicative inverse is equivalent to solving the linear Diophantine\footnote{See LeVeque \cite[pp. 40-43]{LeVeque} for more information.} equation. \begin{equation} ab + pq = 1 \end{equation} -Where $a$, $b$, $p$ and $q$ are all integers. If such a pair of integers $ \left < b, q \right >$ exist than $b$ is the multiplicative inverse of -$a$ modulo $p$. The extended Euclidean algorithm (Knuth \cite[pp. 342]{TAOCPV2}) can be used to solve such equations provided $(a, p) = 1$. +Where $a$, $b$, $p$ and $q$ are all integers. If such a pair of integers $ \left < b, q \right >$ exist than $b$ is the multiplicative inverse of +$a$ modulo $p$. The extended Euclidean algorithm (Knuth \cite[pp. 342]{TAOCPV2}) can be used to solve such equations provided $(a, p) = 1$. However, instead of using that algorithm directly a variant known as the binary Extended Euclidean algorithm will be used in its place. The -binary approach is very similar to the binary greatest common divisor algorithm except it will produce a full solution to the Diophantine -equation. +binary approach is very similar to the binary greatest common divisor algorithm except it will produce a full solution to the Diophantine +equation. \subsection{General Case} \newpage\begin{figure}[!here] @@ -6100,12 +6089,12 @@ equation. \end{small} \end{figure} \textbf{Algorithm mp\_invmod.} -This algorithm computes the modular multiplicative inverse of an integer $a$ modulo an integer $b$. This algorithm is a variation of the +This algorithm computes the modular multiplicative inverse of an integer $a$ modulo an integer $b$. This algorithm is a variation of the extended binary Euclidean algorithm from HAC \cite[pp. 608]{HAC}. It has been modified to only compute the modular inverse and not a complete -Diophantine solution. +Diophantine solution. If $b \le 0$ than the modulus is invalid and MP\_VAL is returned. Similarly if both $a$ and $b$ are even then there cannot be a multiplicative -inverse for $a$ and the error is reported. +inverse for $a$ and the error is reported. The astute reader will observe that steps seven through nine are very similar to the binary greatest common divisor algorithm mp\_gcd. In this case the other variables to the Diophantine equation are solved. The algorithm terminates when $u = 0$ in which case the solution is @@ -6115,8 +6104,8 @@ Ca + Db = v \end{equation} If $v$, the greatest common divisor of $a$ and $b$ is not equal to one then the algorithm will report an error as no inverse exists. Otherwise, $C$ -is the modular inverse of $a$. The actual value of $C$ is congruent to, but not necessarily equal to, the ideal modular inverse which should lie -within $1 \le a^{-1} < b$. Step numbers twelve and thirteen adjust the inverse until it is in range. If the original input $a$ is within $0 < a < p$ +is the modular inverse of $a$. The actual value of $C$ is congruent to, but not necessarily equal to, the ideal modular inverse which should lie +within $1 \le a^{-1} < b$. Step numbers twelve and thirteen adjust the inverse until it is in range. If the original input $a$ is within $0 < a < p$ then only a couple of additions or subtractions will be required to adjust the inverse. EXAM,bn_mp_invmod.c @@ -6124,22 +6113,22 @@ EXAM,bn_mp_invmod.c \subsubsection{Odd Moduli} When the modulus $b$ is odd the variables $A$ and $C$ are fixed and are not required to compute the inverse. In particular by attempting to solve -the Diophantine $Cb + Da = 1$ only $B$ and $D$ are required to find the inverse of $a$. +the Diophantine $Cb + Da = 1$ only $B$ and $D$ are required to find the inverse of $a$. -The algorithm fast\_mp\_invmod is a direct adaptation of algorithm mp\_invmod with all all steps involving either $A$ or $C$ removed. This +The algorithm fast\_mp\_invmod is a direct adaptation of algorithm mp\_invmod with all all steps involving either $A$ or $C$ removed. This optimization will halve the time required to compute the modular inverse. \section{Primality Tests} -A non-zero integer $a$ is said to be prime if it is not divisible by any other integer excluding one and itself. For example, $a = 7$ is prime -since the integers $2 \ldots 6$ do not evenly divide $a$. By contrast, $a = 6$ is not prime since $a = 6 = 2 \cdot 3$. +A non-zero integer $a$ is said to be prime if it is not divisible by any other integer excluding one and itself. For example, $a = 7$ is prime +since the integers $2 \ldots 6$ do not evenly divide $a$. By contrast, $a = 6$ is not prime since $a = 6 = 2 \cdot 3$. Prime numbers arise in cryptography considerably as they allow finite fields to be formed. The ability to determine whether an integer is prime or not quickly has been a viable subject in cryptography and number theory for considerable time. The algorithms that will be presented are all probablistic algorithms in that when they report an integer is composite it must be composite. However, when the algorithms report an integer is -prime the algorithm may be incorrect. +prime the algorithm may be incorrect. -As will be discussed it is possible to limit the probability of error so well that for practical purposes the probablity of error might as +As will be discussed it is possible to limit the probability of error so well that for practical purposes the probablity of error might as well be zero. For the purposes of these discussions let $n$ represent the candidate integer of which the primality is in question. \subsection{Trial Division} @@ -6153,13 +6142,13 @@ of the primes less than $\sqrt{n} + 1$ the algorithm cannot prove if a candidate The benefit of this test is that trial division by small values is fairly efficient. Specially compared to the other algorithms that will be discussed shortly. The probability that this approach correctly identifies a composite candidate when tested with all primes upto $q$ is given by -$1 - {1.12 \over ln(q)}$. The graph (\ref{pic:primality}, will be added later) demonstrates the probability of success for the range -$3 \le q \le 100$. +$1 - {1.12 \over ln(q)}$. The graph (\ref{pic:primality}, will be added later) demonstrates the probability of success for the range +$3 \le q \le 100$. -At approximately $q = 30$ the gain of performing further tests diminishes fairly quickly. At $q = 90$ further testing is generally not going to -be of any practical use. In the case of LibTomMath the default limit $q = 256$ was chosen since it is not too high and will eliminate -approximately $80\%$ of all candidate integers. The constant \textbf{PRIME\_SIZE} is equal to the number of primes in the test base. The -array \_\_prime\_tab is an array of the first \textbf{PRIME\_SIZE} prime numbers. +At approximately $q = 30$ the gain of performing further tests diminishes fairly quickly. At $q = 90$ further testing is generally not going to +be of any practical use. In the case of LibTomMath the default limit $q = 256$ was chosen since it is not too high and will eliminate +approximately $80\%$ of all candidate integers. The constant \textbf{PRIME\_SIZE} is equal to the number of primes in the test base. The +array \_\_prime\_tab is an array of the first \textbf{PRIME\_SIZE} prime numbers. \begin{figure}[!here] \begin{small} @@ -6183,27 +6172,27 @@ array \_\_prime\_tab is an array of the first \textbf{PRIME\_SIZE} prime numbers \caption{Algorithm mp\_prime\_is\_divisible} \end{figure} \textbf{Algorithm mp\_prime\_is\_divisible.} -This algorithm attempts to determine if a candidate integer $n$ is composite by performing trial divisions. +This algorithm attempts to determine if a candidate integer $n$ is composite by performing trial divisions. EXAM,bn_mp_prime_is_divisible.c -The algorithm defaults to a return of $0$ in case an error occurs. The values in the prime table are all specified to be in the range of a +The algorithm defaults to a return of $0$ in case an error occurs. The values in the prime table are all specified to be in the range of a mp\_digit. The table \_\_prime\_tab is defined in the following file. EXAM,bn_prime_tab.c Note that there are two possible tables. When an mp\_digit is 7-bits long only the primes upto $127$ may be included, otherwise the primes -upto $1619$ are used. Note that the value of \textbf{PRIME\_SIZE} is a constant dependent on the size of a mp\_digit. +upto $1619$ are used. Note that the value of \textbf{PRIME\_SIZE} is a constant dependent on the size of a mp\_digit. \subsection{The Fermat Test} -The Fermat test is probably one the oldest tests to have a non-trivial probability of success. It is based on the fact that if $n$ is in +The Fermat test is probably one the oldest tests to have a non-trivial probability of success. It is based on the fact that if $n$ is in fact prime then $a^{n} \equiv a \mbox{ (mod }n\mbox{)}$ for all $0 < a < n$. The reason being that if $n$ is prime than the order of -the multiplicative sub group is $n - 1$. Any base $a$ must have an order which divides $n - 1$ and as such $a^n$ is equivalent to -$a^1 = a$. +the multiplicative sub group is $n - 1$. Any base $a$ must have an order which divides $n - 1$ and as such $a^n$ is equivalent to +$a^1 = a$. -If $n$ is composite then any given base $a$ does not have to have a period which divides $n - 1$. In which case +If $n$ is composite then any given base $a$ does not have to have a period which divides $n - 1$. In which case it is possible that $a^n \nequiv a \mbox{ (mod }n\mbox{)}$. However, this test is not absolute as it is possible that the order -of a base will divide $n - 1$ which would then be reported as prime. Such a base yields what is known as a Fermat pseudo-prime. Several +of a base will divide $n - 1$ which would then be reported as prime. Such a base yields what is known as a Fermat pseudo-prime. Several integers known as Carmichael numbers will be a pseudo-prime to all valid bases. Fortunately such numbers are extremely rare as $n$ grows in size. @@ -6229,13 +6218,13 @@ in size. \end{figure} \textbf{Algorithm mp\_prime\_fermat.} This algorithm determines whether an mp\_int $a$ is a Fermat prime to the base $b$ or not. It uses a single modular exponentiation to -determine the result. +determine the result. EXAM,bn_mp_prime_fermat.c \subsection{The Miller-Rabin Test} -The Miller-Rabin (citation) test is another primality test which has tighter error bounds than the Fermat test specifically with sequentially chosen -candidate integers. The algorithm is based on the observation that if $n - 1 = 2^kr$ and if $b^r \nequiv \pm 1$ then after upto $k - 1$ squarings the +The Miller-Rabin (citation) test is another primality test which has tighter error bounds than the Fermat test specifically with sequentially chosen +candidate integers. The algorithm is based on the observation that if $n - 1 = 2^kr$ and if $b^r \nequiv \pm 1$ then after upto $k - 1$ squarings the value must be equal to $-1$. The squarings are stopped as soon as $-1$ is observed. If the value of $1$ is observed first it means that some value not congruent to $\pm 1$ when squared equals one which cannot occur if $n$ is prime. @@ -6271,11 +6260,11 @@ some value not congruent to $\pm 1$ when squared equals one which cannot occur i \end{figure} \textbf{Algorithm mp\_prime\_miller\_rabin.} This algorithm performs one trial round of the Miller-Rabin algorithm to the base $b$. It will set $c = 1$ if the algorithm cannot determine -if $b$ is composite or $c = 0$ if $b$ is provably composite. The values of $s$ and $r$ are computed such that $a' = a - 1 = 2^sr$. +if $b$ is composite or $c = 0$ if $b$ is provably composite. The values of $s$ and $r$ are computed such that $a' = a - 1 = 2^sr$. If the value $y \equiv b^r$ is congruent to $\pm 1$ then the algorithm cannot prove if $a$ is composite or not. Otherwise, the algorithm will square $y$ upto $s - 1$ times stopping only when $y \equiv -1$. If $y^2 \equiv 1$ and $y \nequiv \pm 1$ then the algorithm can report that $a$ -is provably composite. If the algorithm performs $s - 1$ squarings and $y \nequiv -1$ then $a$ is provably composite. If $a$ is not provably +is provably composite. If the algorithm performs $s - 1$ squarings and $y \nequiv -1$ then $a$ is provably composite. If $a$ is not provably composite then it is \textit{probably} prime. EXAM,bn_mp_prime_miller_rabin.c diff --git a/libtommath/tommath.tex b/libtommath/tommath.tex index c79a537..d70b64b 100644 --- a/libtommath/tommath.tex +++ b/libtommath/tommath.tex @@ -66,31 +66,20 @@ QUALCOMM Australia \\ } } \maketitle -This text has been placed in the public domain. This text corresponds to the v0.39 release of the +This text has been placed in the public domain. This text corresponds to the v0.39 release of the LibTomMath project. -\begin{alltt} -Tom St Denis -111 Banning Rd -Ottawa, Ontario -K2L 1C3 -Canada - -Phone: 1-613-836-3160 -Email: tomstdenis@gmail.com -\end{alltt} - -This text is formatted to the international B5 paper size of 176mm wide by 250mm tall using the \LaTeX{} +This text is formatted to the international B5 paper size of 176mm wide by 250mm tall using the \LaTeX{} {\em book} macro package and the Perl {\em booker} package. \tableofcontents \listoffigures \chapter*{Prefaces} -When I tell people about my LibTom projects and that I release them as public domain they are often puzzled. -They ask why I did it and especially why I continue to work on them for free. The best I can explain it is ``Because I can.'' -Which seems odd and perhaps too terse for adult conversation. I often qualify it with ``I am able, I am willing.'' which +When I tell people about my LibTom projects and that I release them as public domain they are often puzzled. +They ask why I did it and especially why I continue to work on them for free. The best I can explain it is ``Because I can.'' +Which seems odd and perhaps too terse for adult conversation. I often qualify it with ``I am able, I am willing.'' which perhaps explains it better. I am the first to admit there is not anything that special with what I have done. Perhaps -others can see that too and then we would have a society to be proud of. My LibTom projects are what I am doing to give +others can see that too and then we would have a society to be proud of. My LibTom projects are what I am doing to give back to society in the form of tools and knowledge that can help others in their endeavours. I started writing this book because it was the most logical task to further my goal of open academia. The LibTomMath source @@ -103,9 +92,9 @@ from relatively straightforward algebra and I hope that this book can be a valua This book and indeed much of the LibTom projects would not exist in their current form if it was not for a plethora of kind people donating their time, resources and kind words to help support my work. Writing a text of significant length (along with the source code) is a tiresome and lengthy process. Currently the LibTom project is four years old, -comprises of literally thousands of users and over 100,000 lines of source code, TeX and other material. People like Mads and Greg -were there at the beginning to encourage me to work well. It is amazing how timely validation from others can boost morale to -continue the project. Definitely my parents were there for me by providing room and board during the many months of work in 2003. +comprises of literally thousands of users and over 100,000 lines of source code, TeX and other material. People like Mads and Greg +were there at the beginning to encourage me to work well. It is amazing how timely validation from others can boost morale to +continue the project. Definitely my parents were there for me by providing room and board during the many months of work in 2003. To my many friends whom I have met through the years I thank you for the good times and the words of encouragement. I hope I honour your kind gestures with this project. @@ -115,22 +104,22 @@ Open Source. Open Academia. Open Minds. \begin{flushright} Tom St Denis \end{flushright} \newpage -I found the opportunity to work with Tom appealing for several reasons, not only could I broaden my own horizons, but also +I found the opportunity to work with Tom appealing for several reasons, not only could I broaden my own horizons, but also contribute to educate others facing the problem of having to handle big number mathematical calculations. -This book is Tom's child and he has been caring and fostering the project ever since the beginning with a clear mind of -how he wanted the project to turn out. I have helped by proofreading the text and we have had several discussions about +This book is Tom's child and he has been caring and fostering the project ever since the beginning with a clear mind of +how he wanted the project to turn out. I have helped by proofreading the text and we have had several discussions about the layout and language used. -I hold a masters degree in cryptography from the University of Southern Denmark and have always been interested in the -practical aspects of cryptography. +I hold a masters degree in cryptography from the University of Southern Denmark and have always been interested in the +practical aspects of cryptography. -Having worked in the security consultancy business for several years in S\~{a}o Paulo, Brazil, I have been in touch with a -great deal of work in which multiple precision mathematics was needed. Understanding the possibilities for speeding up -multiple precision calculations is often very important since we deal with outdated machine architecture where modular +Having worked in the security consultancy business for several years in S\~{a}o Paulo, Brazil, I have been in touch with a +great deal of work in which multiple precision mathematics was needed. Understanding the possibilities for speeding up +multiple precision calculations is often very important since we deal with outdated machine architecture where modular reductions, for example, become painfully slow. -This text is for people who stop and wonder when first examining algorithms such as RSA for the first time and asks +This text is for people who stop and wonder when first examining algorithms such as RSA for the first time and asks themselves, ``You tell me this is only secure for large numbers, fine; but how do you implement these numbers?'' \begin{flushright} @@ -142,22 +131,22 @@ Brazil \end{flushright} \newpage -It's all because I broke my leg. That just happened to be at about the same time that Tom asked for someone to review the section of the book about -Karatsuba multiplication. I was laid up, alone and immobile, and thought ``Why not?'' I vaguely knew what Karatsuba multiplication was, but not +It's all because I broke my leg. That just happened to be at about the same time that Tom asked for someone to review the section of the book about +Karatsuba multiplication. I was laid up, alone and immobile, and thought ``Why not?'' I vaguely knew what Karatsuba multiplication was, but not really, so I thought I could help, learn, and stop myself from watching daytime cable TV, all at once. -At the time of writing this, I've still not met Tom or Mads in meatspace. I've been following Tom's progress since his first splash on the +At the time of writing this, I've still not met Tom or Mads in meatspace. I've been following Tom's progress since his first splash on the sci.crypt Usenet news group. I watched him go from a clueless newbie, to the cryptographic equivalent of a reformed smoker, to a real -contributor to the field, over a period of about two years. I've been impressed with his obvious intelligence, and astounded by his productivity. +contributor to the field, over a period of about two years. I've been impressed with his obvious intelligence, and astounded by his productivity. Of course, he's young enough to be my own child, so he doesn't have my problems with staying awake. -When I reviewed that single section of the book, in its very earliest form, I was very pleasantly surprised. So I decided to collaborate more fully, -and at least review all of it, and perhaps write some bits too. There's still a long way to go with it, and I have watched a number of close -friends go through the mill of publication, so I think that the way to go is longer than Tom thinks it is. Nevertheless, it's a good effort, +When I reviewed that single section of the book, in its very earliest form, I was very pleasantly surprised. So I decided to collaborate more fully, +and at least review all of it, and perhaps write some bits too. There's still a long way to go with it, and I have watched a number of close +friends go through the mill of publication, so I think that the way to go is longer than Tom thinks it is. Nevertheless, it's a good effort, and I'm pleased to be involved with it. \begin{flushright} -Greg Rose, Sydney, Australia, June 2003. +Greg Rose, Sydney, Australia, June 2003. \end{flushright} \mainmatter @@ -167,23 +156,23 @@ Greg Rose, Sydney, Australia, June 2003. \subsection{What is Multiple Precision Arithmetic?} When we think of long-hand arithmetic such as addition or multiplication we rarely consider the fact that we instinctively -raise or lower the precision of the numbers we are dealing with. For example, in decimal we almost immediate can -reason that $7$ times $6$ is $42$. However, $42$ has two digits of precision as opposed to one digit we started with. -Further multiplications of say $3$ result in a larger precision result $126$. In these few examples we have multiple +raise or lower the precision of the numbers we are dealing with. For example, in decimal we almost immediate can +reason that $7$ times $6$ is $42$. However, $42$ has two digits of precision as opposed to one digit we started with. +Further multiplications of say $3$ result in a larger precision result $126$. In these few examples we have multiple precisions for the numbers we are working with. Despite the various levels of precision a single subset\footnote{With the occasional optimization.} - of algorithms can be designed to accomodate them. + of algorithms can be designed to accomodate them. By way of comparison a fixed or single precision operation would lose precision on various operations. For example, in the decimal system with fixed precision $6 \cdot 7 = 2$. Essentially at the heart of computer based multiple precision arithmetic are the same long-hand algorithms taught in -schools to manually add, subtract, multiply and divide. +schools to manually add, subtract, multiply and divide. \subsection{The Need for Multiple Precision Arithmetic} The most prevalent need for multiple precision arithmetic, often referred to as ``bignum'' math, is within the implementation -of public-key cryptography algorithms. Algorithms such as RSA \cite{RSAREF} and Diffie-Hellman \cite{DHREF} require -integers of significant magnitude to resist known cryptanalytic attacks. For example, at the time of this writing a -typical RSA modulus would be at least greater than $10^{309}$. However, modern programming languages such as ISO C \cite{ISOC} and +of public-key cryptography algorithms. Algorithms such as RSA \cite{RSAREF} and Diffie-Hellman \cite{DHREF} require +integers of significant magnitude to resist known cryptanalytic attacks. For example, at the time of this writing a +typical RSA modulus would be at least greater than $10^{309}$. However, modern programming languages such as ISO C \cite{ISOC} and Java \cite{JAVA} only provide instrinsic support for integers which are relatively small and single precision. \begin{figure}[!here] @@ -201,27 +190,27 @@ Java \cite{JAVA} only provide instrinsic support for integers which are relative \label{fig:ISOC} \end{figure} -The largest data type guaranteed to be provided by the ISO C programming -language\footnote{As per the ISO C standard. However, each compiler vendor is allowed to augment the precision as they -see fit.} can only represent values up to $10^{19}$ as shown in figure \ref{fig:ISOC}. On its own the C language is -insufficient to accomodate the magnitude required for the problem at hand. An RSA modulus of magnitude $10^{19}$ could be -trivially factored\footnote{A Pollard-Rho factoring would take only $2^{16}$ time.} on the average desktop computer, -rendering any protocol based on the algorithm insecure. Multiple precision algorithms solve this very problem by +The largest data type guaranteed to be provided by the ISO C programming +language\footnote{As per the ISO C standard. However, each compiler vendor is allowed to augment the precision as they +see fit.} can only represent values up to $10^{19}$ as shown in figure \ref{fig:ISOC}. On its own the C language is +insufficient to accomodate the magnitude required for the problem at hand. An RSA modulus of magnitude $10^{19}$ could be +trivially factored\footnote{A Pollard-Rho factoring would take only $2^{16}$ time.} on the average desktop computer, +rendering any protocol based on the algorithm insecure. Multiple precision algorithms solve this very problem by extending the range of representable integers while using single precision data types. -Most advancements in fast multiple precision arithmetic stem from the need for faster and more efficient cryptographic -primitives. Faster modular reduction and exponentiation algorithms such as Barrett's algorithm, which have appeared in -various cryptographic journals, can render algorithms such as RSA and Diffie-Hellman more efficient. In fact, several -major companies such as RSA Security, Certicom and Entrust have built entire product lines on the implementation and +Most advancements in fast multiple precision arithmetic stem from the need for faster and more efficient cryptographic +primitives. Faster modular reduction and exponentiation algorithms such as Barrett's algorithm, which have appeared in +various cryptographic journals, can render algorithms such as RSA and Diffie-Hellman more efficient. In fact, several +major companies such as RSA Security, Certicom and Entrust have built entire product lines on the implementation and deployment of efficient algorithms. -However, cryptography is not the only field of study that can benefit from fast multiple precision integer routines. -Another auxiliary use of multiple precision integers is high precision floating point data types. -The basic IEEE \cite{IEEE} standard floating point type is made up of an integer mantissa $q$, an exponent $e$ and a sign bit $s$. -Numbers are given in the form $n = q \cdot b^e \cdot -1^s$ where $b = 2$ is the most common base for IEEE. Since IEEE -floating point is meant to be implemented in hardware the precision of the mantissa is often fairly small +However, cryptography is not the only field of study that can benefit from fast multiple precision integer routines. +Another auxiliary use of multiple precision integers is high precision floating point data types. +The basic IEEE \cite{IEEE} standard floating point type is made up of an integer mantissa $q$, an exponent $e$ and a sign bit $s$. +Numbers are given in the form $n = q \cdot b^e \cdot -1^s$ where $b = 2$ is the most common base for IEEE. Since IEEE +floating point is meant to be implemented in hardware the precision of the mantissa is often fairly small (\textit{23, 48 and 64 bits}). The mantissa is merely an integer and a multiple precision integer could be used to create -a mantissa of much larger precision than hardware alone can efficiently support. This approach could be useful where +a mantissa of much larger precision than hardware alone can efficiently support. This approach could be useful where scientific applications must minimize the total output error over long calculations. Yet another use for large integers is within arithmetic on polynomials of large characteristic (i.e. $GF(p)[x]$ for large $p$). @@ -229,152 +218,152 @@ In fact the library discussed within this text has already been used to form a p \subsection{Benefits of Multiple Precision Arithmetic} \index{precision} -The benefit of multiple precision representations over single or fixed precision representations is that -no precision is lost while representing the result of an operation which requires excess precision. For example, -the product of two $n$-bit integers requires at least $2n$ bits of precision to be represented faithfully. A multiple -precision algorithm would augment the precision of the destination to accomodate the result while a single precision system +The benefit of multiple precision representations over single or fixed precision representations is that +no precision is lost while representing the result of an operation which requires excess precision. For example, +the product of two $n$-bit integers requires at least $2n$ bits of precision to be represented faithfully. A multiple +precision algorithm would augment the precision of the destination to accomodate the result while a single precision system would truncate excess bits to maintain a fixed level of precision. It is possible to implement algorithms which require large integers with fixed precision algorithms. For example, elliptic -curve cryptography (\textit{ECC}) is often implemented on smartcards by fixing the precision of the integers to the maximum -size the system will ever need. Such an approach can lead to vastly simpler algorithms which can accomodate the -integers required even if the host platform cannot natively accomodate them\footnote{For example, the average smartcard +curve cryptography (\textit{ECC}) is often implemented on smartcards by fixing the precision of the integers to the maximum +size the system will ever need. Such an approach can lead to vastly simpler algorithms which can accomodate the +integers required even if the host platform cannot natively accomodate them\footnote{For example, the average smartcard processor has an 8 bit accumulator.}. However, as efficient as such an approach may be, the resulting source code is not normally very flexible. It cannot, at runtime, accomodate inputs of higher magnitude than the designer anticipated. -Multiple precision algorithms have the most overhead of any style of arithmetic. For the the most part the +Multiple precision algorithms have the most overhead of any style of arithmetic. For the the most part the overhead can be kept to a minimum with careful planning, but overall, it is not well suited for most memory starved -platforms. However, multiple precision algorithms do offer the most flexibility in terms of the magnitude of the -inputs. That is, the same algorithms based on multiple precision integers can accomodate any reasonable size input -without the designer's explicit forethought. This leads to lower cost of ownership for the code as it only has to +platforms. However, multiple precision algorithms do offer the most flexibility in terms of the magnitude of the +inputs. That is, the same algorithms based on multiple precision integers can accomodate any reasonable size input +without the designer's explicit forethought. This leads to lower cost of ownership for the code as it only has to be written and tested once. \section{Purpose of This Text} -The purpose of this text is to instruct the reader regarding how to implement efficient multiple precision algorithms. -That is to not only explain a limited subset of the core theory behind the algorithms but also the various ``house keeping'' -elements that are neglected by authors of other texts on the subject. Several well reknowned texts \cite{TAOCPV2,HAC} -give considerably detailed explanations of the theoretical aspects of algorithms and often very little information -regarding the practical implementation aspects. - -In most cases how an algorithm is explained and how it is actually implemented are two very different concepts. For -example, the Handbook of Applied Cryptography (\textit{HAC}), algorithm 14.7 on page 594, gives a relatively simple -algorithm for performing multiple precision integer addition. However, the description lacks any discussion concerning +The purpose of this text is to instruct the reader regarding how to implement efficient multiple precision algorithms. +That is to not only explain a limited subset of the core theory behind the algorithms but also the various ``house keeping'' +elements that are neglected by authors of other texts on the subject. Several well reknowned texts \cite{TAOCPV2,HAC} +give considerably detailed explanations of the theoretical aspects of algorithms and often very little information +regarding the practical implementation aspects. + +In most cases how an algorithm is explained and how it is actually implemented are two very different concepts. For +example, the Handbook of Applied Cryptography (\textit{HAC}), algorithm 14.7 on page 594, gives a relatively simple +algorithm for performing multiple precision integer addition. However, the description lacks any discussion concerning the fact that the two integer inputs may be of differing magnitudes. As a result the implementation is not as simple -as the text would lead people to believe. Similarly the division routine (\textit{algorithm 14.20, pp. 598}) does not +as the text would lead people to believe. Similarly the division routine (\textit{algorithm 14.20, pp. 598}) does not discuss how to handle sign or handle the dividend's decreasing magnitude in the main loop (\textit{step \#3}). -Both texts also do not discuss several key optimal algorithms required such as ``Comba'' and Karatsuba multipliers -and fast modular inversion, which we consider practical oversights. These optimal algorithms are vital to achieve -any form of useful performance in non-trivial applications. +Both texts also do not discuss several key optimal algorithms required such as ``Comba'' and Karatsuba multipliers +and fast modular inversion, which we consider practical oversights. These optimal algorithms are vital to achieve +any form of useful performance in non-trivial applications. To solve this problem the focus of this text is on the practical aspects of implementing a multiple precision integer -package. As a case study the ``LibTomMath''\footnote{Available at \url{http://math.libtomcrypt.com}} package is used -to demonstrate algorithms with real implementations\footnote{In the ISO C programming language.} that have been field -tested and work very well. The LibTomMath library is freely available on the Internet for all uses and this text +package. As a case study the ``LibTomMath''\footnote{Available at \url{http://math.libtomcrypt.com}} package is used +to demonstrate algorithms with real implementations\footnote{In the ISO C programming language.} that have been field +tested and work very well. The LibTomMath library is freely available on the Internet for all uses and this text discusses a very large portion of the inner workings of the library. -The algorithms that are presented will always include at least one ``pseudo-code'' description followed -by the actual C source code that implements the algorithm. The pseudo-code can be used to implement the same -algorithm in other programming languages as the reader sees fit. +The algorithms that are presented will always include at least one ``pseudo-code'' description followed +by the actual C source code that implements the algorithm. The pseudo-code can be used to implement the same +algorithm in other programming languages as the reader sees fit. This text shall also serve as a walkthrough of the creation of multiple precision algorithms from scratch. Showing -the reader how the algorithms fit together as well as where to start on various taskings. +the reader how the algorithms fit together as well as where to start on various taskings. \section{Discussion and Notation} \subsection{Notation} A multiple precision integer of $n$-digits shall be denoted as $x = (x_{n-1}, \ldots, x_1, x_0)_{ \beta }$ and represent -the integer $x \equiv \sum_{i=0}^{n-1} x_i\beta^i$. The elements of the array $x$ are said to be the radix $\beta$ digits -of the integer. For example, $x = (1,2,3)_{10}$ would represent the integer -$1\cdot 10^2 + 2\cdot10^1 + 3\cdot10^0 = 123$. +the integer $x \equiv \sum_{i=0}^{n-1} x_i\beta^i$. The elements of the array $x$ are said to be the radix $\beta$ digits +of the integer. For example, $x = (1,2,3)_{10}$ would represent the integer +$1\cdot 10^2 + 2\cdot10^1 + 3\cdot10^0 = 123$. \index{mp\_int} -The term ``mp\_int'' shall refer to a composite structure which contains the digits of the integer it represents, as well -as auxilary data required to manipulate the data. These additional members are discussed further in section -\ref{sec:MPINT}. For the purposes of this text a ``multiple precision integer'' and an ``mp\_int'' are assumed to be -synonymous. When an algorithm is specified to accept an mp\_int variable it is assumed the various auxliary data members -are present as well. An expression of the type \textit{variablename.item} implies that it should evaluate to the -member named ``item'' of the variable. For example, a string of characters may have a member ``length'' which would -evaluate to the number of characters in the string. If the string $a$ equals ``hello'' then it follows that -$a.length = 5$. +The term ``mp\_int'' shall refer to a composite structure which contains the digits of the integer it represents, as well +as auxilary data required to manipulate the data. These additional members are discussed further in section +\ref{sec:MPINT}. For the purposes of this text a ``multiple precision integer'' and an ``mp\_int'' are assumed to be +synonymous. When an algorithm is specified to accept an mp\_int variable it is assumed the various auxliary data members +are present as well. An expression of the type \textit{variablename.item} implies that it should evaluate to the +member named ``item'' of the variable. For example, a string of characters may have a member ``length'' which would +evaluate to the number of characters in the string. If the string $a$ equals ``hello'' then it follows that +$a.length = 5$. For certain discussions more generic algorithms are presented to help the reader understand the final algorithm used -to solve a given problem. When an algorithm is described as accepting an integer input it is assumed the input is -a plain integer with no additional multiple-precision members. That is, algorithms that use integers as opposed to -mp\_ints as inputs do not concern themselves with the housekeeping operations required such as memory management. These +to solve a given problem. When an algorithm is described as accepting an integer input it is assumed the input is +a plain integer with no additional multiple-precision members. That is, algorithms that use integers as opposed to +mp\_ints as inputs do not concern themselves with the housekeeping operations required such as memory management. These algorithms will be used to establish the relevant theory which will subsequently be used to describe a multiple -precision algorithm to solve the same problem. +precision algorithm to solve the same problem. \subsection{Precision Notation} -The variable $\beta$ represents the radix of a single digit of a multiple precision integer and -must be of the form $q^p$ for $q, p \in \Z^+$. A single precision variable must be able to represent integers in -the range $0 \le x < q \beta$ while a double precision variable must be able to represent integers in the range -$0 \le x < q \beta^2$. The extra radix-$q$ factor allows additions and subtractions to proceed without truncation of the +The variable $\beta$ represents the radix of a single digit of a multiple precision integer and +must be of the form $q^p$ for $q, p \in \Z^+$. A single precision variable must be able to represent integers in +the range $0 \le x < q \beta$ while a double precision variable must be able to represent integers in the range +$0 \le x < q \beta^2$. The extra radix-$q$ factor allows additions and subtractions to proceed without truncation of the carry. Since all modern computers are binary, it is assumed that $q$ is two. \index{mp\_digit} \index{mp\_word} -Within the source code that will be presented for each algorithm, the data type \textbf{mp\_digit} will represent -a single precision integer type, while, the data type \textbf{mp\_word} will represent a double precision integer type. In -several algorithms (notably the Comba routines) temporary results will be stored in arrays of double precision mp\_words. -For the purposes of this text $x_j$ will refer to the $j$'th digit of a single precision array and $\hat x_j$ will refer to +Within the source code that will be presented for each algorithm, the data type \textbf{mp\_digit} will represent +a single precision integer type, while, the data type \textbf{mp\_word} will represent a double precision integer type. In +several algorithms (notably the Comba routines) temporary results will be stored in arrays of double precision mp\_words. +For the purposes of this text $x_j$ will refer to the $j$'th digit of a single precision array and $\hat x_j$ will refer to the $j$'th digit of a double precision array. Whenever an expression is to be assigned to a double precision -variable it is assumed that all single precision variables are promoted to double precision during the evaluation. +variable it is assumed that all single precision variables are promoted to double precision during the evaluation. Expressions that are assigned to a single precision variable are truncated to fit within the precision of a single precision data type. -For example, if $\beta = 10^2$ a single precision data type may represent a value in the +For example, if $\beta = 10^2$ a single precision data type may represent a value in the range $0 \le x < 10^3$, while a double precision data type may represent a value in the range $0 \le x < 10^5$. Let $a = 23$ and $b = 49$ represent two single precision variables. The single precision product shall be written as $c \leftarrow a \cdot b$ while the double precision product shall be written as $\hat c \leftarrow a \cdot b$. -In this particular case, $\hat c = 1127$ and $c = 127$. The most significant digit of the product would not fit -in a single precision data type and as a result $c \ne \hat c$. +In this particular case, $\hat c = 1127$ and $c = 127$. The most significant digit of the product would not fit +in a single precision data type and as a result $c \ne \hat c$. \subsection{Algorithm Inputs and Outputs} Within the algorithm descriptions all variables are assumed to be scalars of either single or double precision -as indicated. The only exception to this rule is when variables have been indicated to be of type mp\_int. This -distinction is important as scalars are often used as array indicies and various other counters. +as indicated. The only exception to this rule is when variables have been indicated to be of type mp\_int. This +distinction is important as scalars are often used as array indicies and various other counters. \subsection{Mathematical Expressions} -The $\lfloor \mbox{ } \rfloor$ brackets imply an expression truncated to an integer not greater than the expression +The $\lfloor \mbox{ } \rfloor$ brackets imply an expression truncated to an integer not greater than the expression itself. For example, $\lfloor 5.7 \rfloor = 5$. Similarly the $\lceil \mbox{ } \rceil$ brackets imply an expression -rounded to an integer not less than the expression itself. For example, $\lceil 5.1 \rceil = 6$. Typically when -the $/$ division symbol is used the intention is to perform an integer division with truncation. For example, -$5/2 = 2$ which will often be written as $\lfloor 5/2 \rfloor = 2$ for clarity. When an expression is written as a -fraction a real value division is implied, for example ${5 \over 2} = 2.5$. +rounded to an integer not less than the expression itself. For example, $\lceil 5.1 \rceil = 6$. Typically when +the $/$ division symbol is used the intention is to perform an integer division with truncation. For example, +$5/2 = 2$ which will often be written as $\lfloor 5/2 \rfloor = 2$ for clarity. When an expression is written as a +fraction a real value division is implied, for example ${5 \over 2} = 2.5$. The norm of a multiple precision integer, for example $\vert \vert x \vert \vert$, will be used to represent the number of digits in the representation -of the integer. For example, $\vert \vert 123 \vert \vert = 3$ and $\vert \vert 79452 \vert \vert = 5$. +of the integer. For example, $\vert \vert 123 \vert \vert = 3$ and $\vert \vert 79452 \vert \vert = 5$. \subsection{Work Effort} \index{big-Oh} -To measure the efficiency of the specified algorithms, a modified big-Oh notation is used. In this system all -single precision operations are considered to have the same cost\footnote{Except where explicitly noted.}. -That is a single precision addition, multiplication and division are assumed to take the same time to +To measure the efficiency of the specified algorithms, a modified big-Oh notation is used. In this system all +single precision operations are considered to have the same cost\footnote{Except where explicitly noted.}. +That is a single precision addition, multiplication and division are assumed to take the same time to complete. While this is generally not true in practice, it will simplify the discussions considerably. -Some algorithms have slight advantages over others which is why some constants will not be removed in -the notation. For example, a normal baseline multiplication (section \ref{sec:basemult}) requires $O(n^2)$ work while a -baseline squaring (section \ref{sec:basesquare}) requires $O({{n^2 + n}\over 2})$ work. In standard big-Oh notation these -would both be said to be equivalent to $O(n^2)$. However, -in the context of the this text this is not the case as the magnitude of the inputs will typically be rather small. As a +Some algorithms have slight advantages over others which is why some constants will not be removed in +the notation. For example, a normal baseline multiplication (section \ref{sec:basemult}) requires $O(n^2)$ work while a +baseline squaring (section \ref{sec:basesquare}) requires $O({{n^2 + n}\over 2})$ work. In standard big-Oh notation these +would both be said to be equivalent to $O(n^2)$. However, +in the context of the this text this is not the case as the magnitude of the inputs will typically be rather small. As a result small constant factors in the work effort will make an observable difference in algorithm efficiency. -All of the algorithms presented in this text have a polynomial time work level. That is, of the form -$O(n^k)$ for $n, k \in \Z^{+}$. This will help make useful comparisons in terms of the speed of the algorithms and how +All of the algorithms presented in this text have a polynomial time work level. That is, of the form +$O(n^k)$ for $n, k \in \Z^{+}$. This will help make useful comparisons in terms of the speed of the algorithms and how various optimizations will help pay off in the long run. \section{Exercises} Within the more advanced chapters a section will be set aside to give the reader some challenging exercises related to -the discussion at hand. These exercises are not designed to be prize winning problems, but instead to be thought -provoking. Wherever possible the problems are forward minded, stating problems that will be answered in subsequent -chapters. The reader is encouraged to finish the exercises as they appear to get a better understanding of the -subject material. +the discussion at hand. These exercises are not designed to be prize winning problems, but instead to be thought +provoking. Wherever possible the problems are forward minded, stating problems that will be answered in subsequent +chapters. The reader is encouraged to finish the exercises as they appear to get a better understanding of the +subject material. That being said, the problems are designed to affirm knowledge of a particular subject matter. Students in particular are encouraged to verify they can answer the problems correctly before moving on. Similar to the exercises of \cite[pp. ix]{TAOCPV2} these exercises are given a scoring system based on the difficulty of -the problem. However, unlike \cite{TAOCPV2} the problems do not get nearly as hard. The scoring of these -exercises ranges from one (the easiest) to five (the hardest). The following table sumarizes the +the problem. However, unlike \cite{TAOCPV2} the problems do not get nearly as hard. The scoring of these +exercises ranges from one (the easiest) to five (the hardest). The following table sumarizes the scoring system used. \begin{figure}[here] @@ -404,21 +393,21 @@ scoring system used. \end{figure} Problems at the first level are meant to be simple questions that the reader can answer quickly without programming a solution or -devising new theory. These problems are quick tests to see if the material is understood. Problems at the second level +devising new theory. These problems are quick tests to see if the material is understood. Problems at the second level are also designed to be easy but will require a program or algorithm to be implemented to arrive at the answer. These -two levels are essentially entry level questions. +two levels are essentially entry level questions. -Problems at the third level are meant to be a bit more difficult than the first two levels. The answer is often -fairly obvious but arriving at an exacting solution requires some thought and skill. These problems will almost always +Problems at the third level are meant to be a bit more difficult than the first two levels. The answer is often +fairly obvious but arriving at an exacting solution requires some thought and skill. These problems will almost always involve devising a new algorithm or implementing a variation of another algorithm previously presented. Readers who can answer these questions will feel comfortable with the concepts behind the topic at hand. -Problems at the fourth level are meant to be similar to those of the level three questions except they will require -additional research to be completed. The reader will most likely not know the answer right away, nor will the text provide -the exact details of the answer until a subsequent chapter. +Problems at the fourth level are meant to be similar to those of the level three questions except they will require +additional research to be completed. The reader will most likely not know the answer right away, nor will the text provide +the exact details of the answer until a subsequent chapter. -Problems at the fifth level are meant to be the hardest -problems relative to all the other problems in the chapter. People who can correctly answer fifth level problems have a +Problems at the fifth level are meant to be the hardest +problems relative to all the other problems in the chapter. People who can correctly answer fifth level problems have a mastery of the subject matter at hand. Often problems will be tied together. The purpose of this is to start a chain of thought that will be discussed in future chapters. The reader @@ -427,43 +416,43 @@ is encouraged to answer the follow-up problems and try to draw the relevance of \section{Introduction to LibTomMath} \subsection{What is LibTomMath?} -LibTomMath is a free and open source multiple precision integer library written entirely in portable ISO C. By portable it -is meant that the library does not contain any code that is computer platform dependent or otherwise problematic to use on -any given platform. +LibTomMath is a free and open source multiple precision integer library written entirely in portable ISO C. By portable it +is meant that the library does not contain any code that is computer platform dependent or otherwise problematic to use on +any given platform. The library has been successfully tested under numerous operating systems including Unix\footnote{All of these -trademarks belong to their respective rightful owners.}, MacOS, Windows, Linux, PalmOS and on standalone hardware such -as the Gameboy Advance. The library is designed to contain enough functionality to be able to develop applications such +trademarks belong to their respective rightful owners.}, MacOS, Windows, Linux, PalmOS and on standalone hardware such +as the Gameboy Advance. The library is designed to contain enough functionality to be able to develop applications such as public key cryptosystems and still maintain a relatively small footprint. \subsection{Goals of LibTomMath} -Libraries which obtain the most efficiency are rarely written in a high level programming language such as C. However, -even though this library is written entirely in ISO C, considerable care has been taken to optimize the algorithm implementations within the -library. Specifically the code has been written to work well with the GNU C Compiler (\textit{GCC}) on both x86 and ARM -processors. Wherever possible, highly efficient algorithms, such as Karatsuba multiplication, sliding window -exponentiation and Montgomery reduction have been provided to make the library more efficient. +Libraries which obtain the most efficiency are rarely written in a high level programming language such as C. However, +even though this library is written entirely in ISO C, considerable care has been taken to optimize the algorithm implementations within the +library. Specifically the code has been written to work well with the GNU C Compiler (\textit{GCC}) on both x86 and ARM +processors. Wherever possible, highly efficient algorithms, such as Karatsuba multiplication, sliding window +exponentiation and Montgomery reduction have been provided to make the library more efficient. -Even with the nearly optimal and specialized algorithms that have been included the Application Programing Interface -(\textit{API}) has been kept as simple as possible. Often generic place holder routines will make use of specialized -algorithms automatically without the developer's specific attention. One such example is the generic multiplication -algorithm \textbf{mp\_mul()} which will automatically use Toom--Cook, Karatsuba, Comba or baseline multiplication -based on the magnitude of the inputs and the configuration of the library. +Even with the nearly optimal and specialized algorithms that have been included the Application Programing Interface +(\textit{API}) has been kept as simple as possible. Often generic place holder routines will make use of specialized +algorithms automatically without the developer's specific attention. One such example is the generic multiplication +algorithm \textbf{mp\_mul()} which will automatically use Toom--Cook, Karatsuba, Comba or baseline multiplication +based on the magnitude of the inputs and the configuration of the library. -Making LibTomMath as efficient as possible is not the only goal of the LibTomMath project. Ideally the library should +Making LibTomMath as efficient as possible is not the only goal of the LibTomMath project. Ideally the library should be source compatible with another popular library which makes it more attractive for developers to use. In this case the -MPI library was used as a API template for all the basic functions. MPI was chosen because it is another library that fits -in the same niche as LibTomMath. Even though LibTomMath uses MPI as the template for the function names and argument +MPI library was used as a API template for all the basic functions. MPI was chosen because it is another library that fits +in the same niche as LibTomMath. Even though LibTomMath uses MPI as the template for the function names and argument passing conventions, it has been written from scratch by Tom St Denis. -The project is also meant to act as a learning tool for students, the logic being that no easy-to-follow ``bignum'' -library exists which can be used to teach computer science students how to perform fast and reliable multiple precision -integer arithmetic. To this end the source code has been given quite a few comments and algorithm discussion points. +The project is also meant to act as a learning tool for students, the logic being that no easy-to-follow ``bignum'' +library exists which can be used to teach computer science students how to perform fast and reliable multiple precision +integer arithmetic. To this end the source code has been given quite a few comments and algorithm discussion points. \section{Choice of LibTomMath} LibTomMath was chosen as the case study of this text not only because the author of both projects is one and the same but -for more worthy reasons. Other libraries such as GMP \cite{GMP}, MPI \cite{MPI}, LIP \cite{LIP} and OpenSSL -\cite{OPENSSL} have multiple precision integer arithmetic routines but would not be ideal for this text for +for more worthy reasons. Other libraries such as GMP \cite{GMP}, MPI \cite{MPI}, LIP \cite{LIP} and OpenSSL +\cite{OPENSSL} have multiple precision integer arithmetic routines but would not be ideal for this text for reasons that will be explained in the following sub-sections. \subsection{Code Base} @@ -472,76 +461,76 @@ segments of code littered throughout the source. This clean and uncluttered app developer can more readily discern the true intent of a given section of source code without trying to keep track of what conditional code will be used. -The code base of LibTomMath is well organized. Each function is in its own separate source code file +The code base of LibTomMath is well organized. Each function is in its own separate source code file which allows the reader to find a given function very quickly. On average there are $76$ lines of code per source file which makes the source very easily to follow. By comparison MPI and LIP are single file projects making code tracing -very hard. GMP has many conditional code segments which also hinder tracing. +very hard. GMP has many conditional code segments which also hinder tracing. When compiled with GCC for the x86 processor and optimized for speed the entire library is approximately $100$KiB\footnote{The notation ``KiB'' means $2^{10}$ octets, similarly ``MiB'' means $2^{20}$ octets.} - which is fairly small compared to GMP (over $250$KiB). LibTomMath is slightly larger than MPI (which compiles to about + which is fairly small compared to GMP (over $250$KiB). LibTomMath is slightly larger than MPI (which compiles to about $50$KiB) but LibTomMath is also much faster and more complete than MPI. \subsection{API Simplicity} -LibTomMath is designed after the MPI library and shares the API design. Quite often programs that use MPI will build -with LibTomMath without change. The function names correlate directly to the action they perform. Almost all of the -functions share the same parameter passing convention. The learning curve is fairly shallow with the API provided -which is an extremely valuable benefit for the student and developer alike. +LibTomMath is designed after the MPI library and shares the API design. Quite often programs that use MPI will build +with LibTomMath without change. The function names correlate directly to the action they perform. Almost all of the +functions share the same parameter passing convention. The learning curve is fairly shallow with the API provided +which is an extremely valuable benefit for the student and developer alike. -The LIP library is an example of a library with an API that is awkward to work with. LIP uses function names that are often ``compressed'' to -illegible short hand. LibTomMath does not share this characteristic. +The LIP library is an example of a library with an API that is awkward to work with. LIP uses function names that are often ``compressed'' to +illegible short hand. LibTomMath does not share this characteristic. The GMP library also does not return error codes. Instead it uses a POSIX.1 \cite{POSIX1} signal system where errors are signaled to the host application. This happens to be the fastest approach but definitely not the most versatile. In -effect a math error (i.e. invalid input, heap error, etc) can cause a program to stop functioning which is definitely +effect a math error (i.e. invalid input, heap error, etc) can cause a program to stop functioning which is definitely undersireable in many situations. \subsection{Optimizations} While LibTomMath is certainly not the fastest library (GMP often beats LibTomMath by a factor of two) it does -feature a set of optimal algorithms for tasks such as modular reduction, exponentiation, multiplication and squaring. GMP +feature a set of optimal algorithms for tasks such as modular reduction, exponentiation, multiplication and squaring. GMP and LIP also feature such optimizations while MPI only uses baseline algorithms with no optimizations. GMP lacks a few of the additional modular reduction optimizations that LibTomMath features\footnote{At the time of this writing GMP -only had Barrett and Montgomery modular reduction algorithms.}. +only had Barrett and Montgomery modular reduction algorithms.}. LibTomMath is almost always an order of magnitude faster than the MPI library at computationally expensive tasks such as modular -exponentiation. In the grand scheme of ``bignum'' libraries LibTomMath is faster than the average library and usually +exponentiation. In the grand scheme of ``bignum'' libraries LibTomMath is faster than the average library and usually slower than the best libraries such as GMP and OpenSSL by only a small factor. \subsection{Portability and Stability} -LibTomMath will build ``out of the box'' on any platform equipped with a modern version of the GNU C Compiler -(\textit{GCC}). This means that without changes the library will build without configuration or setting up any -variables. LIP and MPI will build ``out of the box'' as well but have numerous known bugs. Most notably the author of -MPI has recently stopped working on his library and LIP has long since been discontinued. +LibTomMath will build ``out of the box'' on any platform equipped with a modern version of the GNU C Compiler +(\textit{GCC}). This means that without changes the library will build without configuration or setting up any +variables. LIP and MPI will build ``out of the box'' as well but have numerous known bugs. Most notably the author of +MPI has recently stopped working on his library and LIP has long since been discontinued. GMP requires a configuration script to run and will not build out of the box. GMP and LibTomMath are still in active development and are very stable across a variety of platforms. \subsection{Choice} LibTomMath is a relatively compact, well documented, highly optimized and portable library which seems only natural for -the case study of this text. Various source files from the LibTomMath project will be included within the text. However, -the reader is encouraged to download their own copy of the library to actually be able to work with the library. +the case study of this text. Various source files from the LibTomMath project will be included within the text. However, +the reader is encouraged to download their own copy of the library to actually be able to work with the library. \chapter{Getting Started} \section{Library Basics} -The trick to writing any useful library of source code is to build a solid foundation and work outwards from it. First, -a problem along with allowable solution parameters should be identified and analyzed. In this particular case the +The trick to writing any useful library of source code is to build a solid foundation and work outwards from it. First, +a problem along with allowable solution parameters should be identified and analyzed. In this particular case the inability to accomodate multiple precision integers is the problem. Futhermore, the solution must be written as portable source code that is reasonably efficient across several different computer platforms. -After a foundation is formed the remainder of the library can be designed and implemented in a hierarchical fashion. -That is, to implement the lowest level dependencies first and work towards the most abstract functions last. For example, +After a foundation is formed the remainder of the library can be designed and implemented in a hierarchical fashion. +That is, to implement the lowest level dependencies first and work towards the most abstract functions last. For example, before implementing a modular exponentiation algorithm one would implement a modular reduction algorithm. -By building outwards from a base foundation instead of using a parallel design methodology the resulting project is +By building outwards from a base foundation instead of using a parallel design methodology the resulting project is highly modular. Being highly modular is a desirable property of any project as it often means the resulting product -has a small footprint and updates are easy to perform. +has a small footprint and updates are easy to perform. -Usually when I start a project I will begin with the header files. I define the data types I think I will need and -prototype the initial functions that are not dependent on other functions (within the library). After I +Usually when I start a project I will begin with the header files. I define the data types I think I will need and +prototype the initial functions that are not dependent on other functions (within the library). After I implement these base functions I prototype more dependent functions and implement them. The process repeats until -I implement all of the functions I require. For example, in the case of LibTomMath I implemented functions such as -mp\_init() well before I implemented mp\_mul() and even further before I implemented mp\_exptmod(). As an example as to -why this design works note that the Karatsuba and Toom-Cook multipliers were written \textit{after} the -dependent function mp\_exptmod() was written. Adding the new multiplication algorithms did not require changes to the -mp\_exptmod() function itself and lowered the total cost of ownership (\textit{so to speak}) and of development +I implement all of the functions I require. For example, in the case of LibTomMath I implemented functions such as +mp\_init() well before I implemented mp\_mul() and even further before I implemented mp\_exptmod(). As an example as to +why this design works note that the Karatsuba and Toom-Cook multipliers were written \textit{after} the +dependent function mp\_exptmod() was written. Adding the new multiplication algorithms did not require changes to the +mp\_exptmod() function itself and lowered the total cost of ownership (\textit{so to speak}) and of development for new algorithms. This methodology allows new algorithms to be tested in a complete framework with relative ease. \begin{center} @@ -553,40 +542,40 @@ for new algorithms. This methodology allows new algorithms to be tested in a co \end{center} Only after the majority of the functions were in place did I pursue a less hierarchical approach to auditing and optimizing -the source code. For example, one day I may audit the multipliers and the next day the polynomial basis functions. +the source code. For example, one day I may audit the multipliers and the next day the polynomial basis functions. -It only makes sense to begin the text with the preliminary data types and support algorithms required as well. +It only makes sense to begin the text with the preliminary data types and support algorithms required as well. This chapter discusses the core algorithms of the library which are the dependents for every other algorithm. \section{What is a Multiple Precision Integer?} -Recall that most programming languages, in particular ISO C \cite{ISOC}, only have fixed precision data types that on their own cannot -be used to represent values larger than their precision will allow. The purpose of multiple precision algorithms is -to use fixed precision data types to create and manipulate multiple precision integers which may represent values -that are very large. +Recall that most programming languages, in particular ISO C \cite{ISOC}, only have fixed precision data types that on their own cannot +be used to represent values larger than their precision will allow. The purpose of multiple precision algorithms is +to use fixed precision data types to create and manipulate multiple precision integers which may represent values +that are very large. As a well known analogy, school children are taught how to form numbers larger than nine by prepending more radix ten digits. In the decimal system -the largest single digit value is $9$. However, by concatenating digits together larger numbers may be represented. Newly prepended digits -(\textit{to the left}) are said to be in a different power of ten column. That is, the number $123$ can be described as having a $1$ in the hundreds -column, $2$ in the tens column and $3$ in the ones column. Or more formally $123 = 1 \cdot 10^2 + 2 \cdot 10^1 + 3 \cdot 10^0$. Computer based -multiple precision arithmetic is essentially the same concept. Larger integers are represented by adjoining fixed +the largest single digit value is $9$. However, by concatenating digits together larger numbers may be represented. Newly prepended digits +(\textit{to the left}) are said to be in a different power of ten column. That is, the number $123$ can be described as having a $1$ in the hundreds +column, $2$ in the tens column and $3$ in the ones column. Or more formally $123 = 1 \cdot 10^2 + 2 \cdot 10^1 + 3 \cdot 10^0$. Computer based +multiple precision arithmetic is essentially the same concept. Larger integers are represented by adjoining fixed precision computer words with the exception that a different radix is used. -What most people probably do not think about explicitly are the various other attributes that describe a multiple precision -integer. For example, the integer $154_{10}$ has two immediately obvious properties. First, the integer is positive, -that is the sign of this particular integer is positive as opposed to negative. Second, the integer has three digits in -its representation. There is an additional property that the integer posesses that does not concern pencil-and-paper -arithmetic. The third property is how many digits placeholders are available to hold the integer. +What most people probably do not think about explicitly are the various other attributes that describe a multiple precision +integer. For example, the integer $154_{10}$ has two immediately obvious properties. First, the integer is positive, +that is the sign of this particular integer is positive as opposed to negative. Second, the integer has three digits in +its representation. There is an additional property that the integer posesses that does not concern pencil-and-paper +arithmetic. The third property is how many digits placeholders are available to hold the integer. The human analogy of this third property is ensuring there is enough space on the paper to write the integer. For example, -if one starts writing a large number too far to the right on a piece of paper they will have to erase it and move left. +if one starts writing a large number too far to the right on a piece of paper they will have to erase it and move left. Similarly, computer algorithms must maintain strict control over memory usage to ensure that the digits of an integer -will not exceed the allowed boundaries. These three properties make up what is known as a multiple precision -integer or mp\_int for short. +will not exceed the allowed boundaries. These three properties make up what is known as a multiple precision +integer or mp\_int for short. \subsection{The mp\_int Structure} \label{sec:MPINT} -The mp\_int structure is the ISO C based manifestation of what represents a multiple precision integer. The ISO C standard does not provide for -any such data type but it does provide for making composite data types known as structures. The following is the structure definition +The mp\_int structure is the ISO C based manifestation of what represents a multiple precision integer. The ISO C standard does not provide for +any such data type but it does provide for making composite data types known as structures. The following is the structure definition used within LibTomMath. \index{mp\_int} @@ -613,46 +602,46 @@ The mp\_int structure (fig. \ref{fig:mpint}) can be broken down as follows. \begin{enumerate} \item The \textbf{used} parameter denotes how many digits of the array \textbf{dp} contain the digits used to represent -a given integer. The \textbf{used} count must be positive (or zero) and may not exceed the \textbf{alloc} count. +a given integer. The \textbf{used} count must be positive (or zero) and may not exceed the \textbf{alloc} count. -\item The \textbf{alloc} parameter denotes how -many digits are available in the array to use by functions before it has to increase in size. When the \textbf{used} count -of a result would exceed the \textbf{alloc} count all of the algorithms will automatically increase the size of the -array to accommodate the precision of the result. +\item The \textbf{alloc} parameter denotes how +many digits are available in the array to use by functions before it has to increase in size. When the \textbf{used} count +of a result would exceed the \textbf{alloc} count all of the algorithms will automatically increase the size of the +array to accommodate the precision of the result. -\item The pointer \textbf{dp} points to a dynamically allocated array of digits that represent the given multiple -precision integer. It is padded with $(\textbf{alloc} - \textbf{used})$ zero digits. The array is maintained in a least +\item The pointer \textbf{dp} points to a dynamically allocated array of digits that represent the given multiple +precision integer. It is padded with $(\textbf{alloc} - \textbf{used})$ zero digits. The array is maintained in a least significant digit order. As a pencil and paper analogy the array is organized such that the right most digits are stored -first starting at the location indexed by zero\footnote{In C all arrays begin at zero.} in the array. For example, -if \textbf{dp} contains $\lbrace a, b, c, \ldots \rbrace$ where \textbf{dp}$_0 = a$, \textbf{dp}$_1 = b$, \textbf{dp}$_2 = c$, $\ldots$ then -it would represent the integer $a + b\beta + c\beta^2 + \ldots$ +first starting at the location indexed by zero\footnote{In C all arrays begin at zero.} in the array. For example, +if \textbf{dp} contains $\lbrace a, b, c, \ldots \rbrace$ where \textbf{dp}$_0 = a$, \textbf{dp}$_1 = b$, \textbf{dp}$_2 = c$, $\ldots$ then +it would represent the integer $a + b\beta + c\beta^2 + \ldots$ \index{MP\_ZPOS} \index{MP\_NEG} -\item The \textbf{sign} parameter denotes the sign as either zero/positive (\textbf{MP\_ZPOS}) or negative (\textbf{MP\_NEG}). +\item The \textbf{sign} parameter denotes the sign as either zero/positive (\textbf{MP\_ZPOS}) or negative (\textbf{MP\_NEG}). \end{enumerate} \subsubsection{Valid mp\_int Structures} -Several rules are placed on the state of an mp\_int structure and are assumed to be followed for reasons of efficiency. +Several rules are placed on the state of an mp\_int structure and are assumed to be followed for reasons of efficiency. The only exceptions are when the structure is passed to initialization functions such as mp\_init() and mp\_init\_copy(). \begin{enumerate} \item The value of \textbf{alloc} may not be less than one. That is \textbf{dp} always points to a previously allocated array of digits. \item The value of \textbf{used} may not exceed \textbf{alloc} and must be greater than or equal to zero. -\item The value of \textbf{used} implies the digit at index $(used - 1)$ of the \textbf{dp} array is non-zero. That is, +\item The value of \textbf{used} implies the digit at index $(used - 1)$ of the \textbf{dp} array is non-zero. That is, leading zero digits in the most significant positions must be trimmed. \begin{enumerate} \item Digits in the \textbf{dp} array at and above the \textbf{used} location must be zero. \end{enumerate} -\item The value of \textbf{sign} must be \textbf{MP\_ZPOS} if \textbf{used} is zero; +\item The value of \textbf{sign} must be \textbf{MP\_ZPOS} if \textbf{used} is zero; this represents the mp\_int value of zero. \end{enumerate} \section{Argument Passing} -A convention of argument passing must be adopted early on in the development of any library. Making the function -prototypes consistent will help eliminate many headaches in the future as the library grows to significant complexity. -In LibTomMath the multiple precision integer functions accept parameters from left to right as pointers to mp\_int -structures. That means that the source (input) operands are placed on the left and the destination (output) on the right. +A convention of argument passing must be adopted early on in the development of any library. Making the function +prototypes consistent will help eliminate many headaches in the future as the library grows to significant complexity. +In LibTomMath the multiple precision integer functions accept parameters from left to right as pointers to mp\_int +structures. That means that the source (input) operands are placed on the left and the destination (output) on the right. Consider the following examples. \begin{verbatim} @@ -665,25 +654,25 @@ The left to right order is a fairly natural way to implement the functions since functions and make sense of them. For example, the first function would read ``multiply a and b and store in c''. Certain libraries (\textit{LIP by Lenstra for instance}) accept parameters the other way around, to mimic the order -of assignment expressions. That is, the destination (output) is on the left and arguments (inputs) are on the right. In -truth, it is entirely a matter of preference. In the case of LibTomMath the convention from the MPI library has been -adopted. - -Another very useful design consideration, provided for in LibTomMath, is whether to allow argument sources to also be a -destination. For example, the second example (\textit{mp\_add}) adds $a$ to $b$ and stores in $a$. This is an important -feature to implement since it allows the calling functions to cut down on the number of variables it must maintain. -However, to implement this feature specific care has to be given to ensure the destination is not modified before the +of assignment expressions. That is, the destination (output) is on the left and arguments (inputs) are on the right. In +truth, it is entirely a matter of preference. In the case of LibTomMath the convention from the MPI library has been +adopted. + +Another very useful design consideration, provided for in LibTomMath, is whether to allow argument sources to also be a +destination. For example, the second example (\textit{mp\_add}) adds $a$ to $b$ and stores in $a$. This is an important +feature to implement since it allows the calling functions to cut down on the number of variables it must maintain. +However, to implement this feature specific care has to be given to ensure the destination is not modified before the source is fully read. \section{Return Values} -A well implemented application, no matter what its purpose, should trap as many runtime errors as possible and return them -to the caller. By catching runtime errors a library can be guaranteed to prevent undefined behaviour. However, the end +A well implemented application, no matter what its purpose, should trap as many runtime errors as possible and return them +to the caller. By catching runtime errors a library can be guaranteed to prevent undefined behaviour. However, the end developer can still manage to cause a library to crash. For example, by passing an invalid pointer an application may fault by dereferencing memory not owned by the application. -In the case of LibTomMath the only errors that are checked for are related to inappropriate inputs (division by zero for -instance) and memory allocation errors. It will not check that the mp\_int passed to any function is valid nor -will it check pointers for validity. Any function that can cause a runtime error will return an error code as an +In the case of LibTomMath the only errors that are checked for are related to inappropriate inputs (division by zero for +instance) and memory allocation errors. It will not check that the mp\_int passed to any function is valid nor +will it check pointers for validity. Any function that can cause a runtime error will return an error code as an \textbf{int} data type with one of the following values (fig \ref{fig:errcodes}). \index{MP\_OKAY} \index{MP\_VAL} \index{MP\_MEM} @@ -702,7 +691,7 @@ will it check pointers for validity. Any function that can cause a runtime erro \end{figure} When an error is detected within a function it should free any memory it allocated, often during the initialization of -temporary mp\_ints, and return as soon as possible. The goal is to leave the system in the same state it was when the +temporary mp\_ints, and return as soon as possible. The goal is to leave the system in the same state it was when the function was called. Error checking with this style of API is fairly simple. \begin{verbatim} @@ -713,19 +702,19 @@ function was called. Error checking with this style of API is fairly simple. } \end{verbatim} -The GMP \cite{GMP} library uses C style \textit{signals} to flag errors which is of questionable use. Not all errors are fatal +The GMP \cite{GMP} library uses C style \textit{signals} to flag errors which is of questionable use. Not all errors are fatal and it was not deemed ideal by the author of LibTomMath to force developers to have signal handlers for such cases. \section{Initialization and Clearing} -The logical starting point when actually writing multiple precision integer functions is the initialization and +The logical starting point when actually writing multiple precision integer functions is the initialization and clearing of the mp\_int structures. These two algorithms will be used by the majority of the higher level algorithms. Given the basic mp\_int structure an initialization routine must first allocate memory to hold the digits of the integer. Often it is optimal to allocate a sufficiently large pre-set number of digits even though the initial integer will represent zero. If only a single digit were allocated quite a few subsequent re-allocations would occur when operations are performed on the integers. There is a tradeoff between how many default digits to allocate -and how many re-allocations are tolerable. Obviously allocating an excessive amount of digits initially will waste -memory and become unmanageable. +and how many re-allocations are tolerable. Obviously allocating an excessive amount of digits initially will waste +memory and become unmanageable. If the memory for the digits has been successfully allocated then the rest of the members of the structure must be initialized. Since the initial state of an mp\_int is to represent the zero integer, the allocated digits must be set @@ -760,16 +749,16 @@ structure are set to valid values. The mp\_init algorithm will perform such an \textbf{Algorithm mp\_init.} The purpose of this function is to initialize an mp\_int structure so that the rest of the library can properly manipulte it. It is assumed that the input may not have had any of its members previously initialized which is certainly -a valid assumption if the input resides on the stack. +a valid assumption if the input resides on the stack. Before any of the members such as \textbf{sign}, \textbf{used} or \textbf{alloc} are initialized the memory for -the digits is allocated. If this fails the function returns before setting any of the other members. The \textbf{MP\_PREC} -name represents a constant\footnote{Defined in the ``tommath.h'' header file within LibTomMath.} +the digits is allocated. If this fails the function returns before setting any of the other members. The \textbf{MP\_PREC} +name represents a constant\footnote{Defined in the ``tommath.h'' header file within LibTomMath.} used to dictate the minimum precision of newly initialized mp\_int integers. Ideally, it is at least equal to the smallest precision number you'll be working with. Allocating a block of digits at first instead of a single digit has the benefit of lowering the number of usually slow -heap operations later functions will have to perform in the future. If \textbf{MP\_PREC} is set correctly the slack +heap operations later functions will have to perform in the future. If \textbf{MP\_PREC} is set correctly the slack memory and the number of heap operations will be trivial. Once the allocation has been made the digits have to be set to zero as well as the \textbf{used}, \textbf{sign} and @@ -781,38 +770,65 @@ This function introduces the idiosyncrasy that all iterative loops, commonly ini when the ``to'' keyword is placed between two expressions. For example, ``for $a$ from $b$ to $c$ do'' means that a subsequent expression (or body of expressions) are to be evaluated upto $c - b$ times so long as $b \le c$. In each iteration the variable $a$ is substituted for a new integer that lies inclusively between $b$ and $c$. If $b > c$ occured -the loop would not iterate. By contrast if the ``downto'' keyword were used in place of ``to'' the loop would iterate +the loop would not iterate. By contrast if the ``downto'' keyword were used in place of ``to'' the loop would iterate decrementally. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_init.c \vspace{-3mm} \begin{alltt} +016 +017 /* init a new mp_int */ +018 int mp_init (mp_int * a) +019 \{ +020 int i; +021 +022 /* allocate memory required and clear it */ +023 a->dp = OPT_CAST(mp_digit) XMALLOC (sizeof (mp_digit) * MP_PREC); +024 if (a->dp == NULL) \{ +025 return MP_MEM; +026 \} +027 +028 /* set the digits to zero */ +029 for (i = 0; i < MP_PREC; i++) \{ +030 a->dp[i] = 0; +031 \} +032 +033 /* set the used to zero, allocated digits to the default precision +034 * and sign to positive */ +035 a->used = 0; +036 a->alloc = MP_PREC; +037 a->sign = MP_ZPOS; +038 +039 return MP_OKAY; +040 \} +041 #endif +042 \end{alltt} \end{small} -One immediate observation of this initializtion function is that it does not return a pointer to a mp\_int structure. It -is assumed that the caller has already allocated memory for the mp\_int structure, typically on the application stack. The -call to mp\_init() is used only to initialize the members of the structure to a known default state. +One immediate observation of this initializtion function is that it does not return a pointer to a mp\_int structure. It +is assumed that the caller has already allocated memory for the mp\_int structure, typically on the application stack. The +call to mp\_init() is used only to initialize the members of the structure to a known default state. -Here we see (line 24) the memory allocation is performed first. This allows us to exit cleanly and quickly +Here we see (line 23) the memory allocation is performed first. This allows us to exit cleanly and quickly if there is an error. If the allocation fails the routine will return \textbf{MP\_MEM} to the caller to indicate there was a memory error. The function XMALLOC is what actually allocates the memory. Technically XMALLOC is not a function but a macro defined in ``tommath.h``. By default, XMALLOC will evaluate to malloc() which is the C library's built--in memory allocation routine. In order to assure the mp\_int is in a known state the digits must be set to zero. On most platforms this could have been -accomplished by using calloc() instead of malloc(). However, to correctly initialize a integer type to a given value in a -portable fashion you have to actually assign the value. The for loop (line 30) performs this required +accomplished by using calloc() instead of malloc(). However, to correctly initialize a integer type to a given value in a +portable fashion you have to actually assign the value. The for loop (line 29) performs this required operation. -After the memory has been successfully initialized the remainder of the members are initialized -(lines 34 through 35) to their respective default states. At this point the algorithm has succeeded and -a success code is returned to the calling function. If this function returns \textbf{MP\_OKAY} it is safe to assume the -mp\_int structure has been properly initialized and is safe to use with other functions within the library. +After the memory has been successfully initialized the remainder of the members are initialized +(lines 33 through 34) to their respective default states. At this point the algorithm has succeeded and +a success code is returned to the calling function. If this function returns \textbf{MP\_OKAY} it is safe to assume the +mp\_int structure has been properly initialized and is safe to use with other functions within the library. \subsection{Clearing an mp\_int} -When an mp\_int is no longer required by the application, the memory that has been allocated for its digits must be +When an mp\_int is no longer required by the application, the memory that has been allocated for its digits must be returned to the application's memory pool with the mp\_clear algorithm. \begin{figure}[here] @@ -837,12 +853,12 @@ returned to the application's memory pool with the mp\_clear algorithm. \end{figure} \textbf{Algorithm mp\_clear.} -This algorithm accomplishes two goals. First, it clears the digits and the other mp\_int members. This ensures that +This algorithm accomplishes two goals. First, it clears the digits and the other mp\_int members. This ensures that if a developer accidentally re-uses a cleared structure it is less likely to cause problems. The second goal is to free the allocated memory. The logic behind the algorithm is extended by marking cleared mp\_int structures so that subsequent calls to this -algorithm will not try to free the memory multiple times. Cleared mp\_ints are detectable by having a pre-defined invalid +algorithm will not try to free the memory multiple times. Cleared mp\_ints are detectable by having a pre-defined invalid digit pointer \textbf{dp} setting. Once an mp\_int has been cleared the mp\_int structure is no longer in a valid state for any other algorithm @@ -852,36 +868,61 @@ with the exception of algorithms mp\_init, mp\_init\_copy, mp\_init\_size and mp \hspace{-5.1mm}{\bf File}: bn\_mp\_clear.c \vspace{-3mm} \begin{alltt} +016 +017 /* clear one (frees) */ +018 void +019 mp_clear (mp_int * a) +020 \{ +021 int i; +022 +023 /* only do anything if a hasn't been freed previously */ +024 if (a->dp != NULL) \{ +025 /* first zero the digits */ +026 for (i = 0; i < a->used; i++) \{ +027 a->dp[i] = 0; +028 \} +029 +030 /* free ram */ +031 XFREE(a->dp); +032 +033 /* reset members to make debugging easier */ +034 a->dp = NULL; +035 a->alloc = a->used = 0; +036 a->sign = MP_ZPOS; +037 \} +038 \} +039 #endif +040 \end{alltt} \end{small} -The algorithm only operates on the mp\_int if it hasn't been previously cleared. The if statement (line 25) +The algorithm only operates on the mp\_int if it hasn't been previously cleared. The if statement (line 24) checks to see if the \textbf{dp} member is not \textbf{NULL}. If the mp\_int is a valid mp\_int then \textbf{dp} cannot be \textbf{NULL} in which case the if statement will evaluate to true. -The digits of the mp\_int are cleared by the for loop (line 27) which assigns a zero to every digit. Similar to mp\_init() -the digits are assigned zero instead of using block memory operations (such as memset()) since this is more portable. +The digits of the mp\_int are cleared by the for loop (line 26) which assigns a zero to every digit. Similar to mp\_init() +the digits are assigned zero instead of using block memory operations (such as memset()) since this is more portable. The digits are deallocated off the heap via the XFREE macro. Similar to XMALLOC the XFREE macro actually evaluates to a standard C library function. In this case the free() function. Since free() only deallocates the memory the pointer -still has to be reset to \textbf{NULL} manually (line 35). +still has to be reset to \textbf{NULL} manually (line 34). -Now that the digits have been cleared and deallocated the other members are set to their final values (lines 36 and 37). +Now that the digits have been cleared and deallocated the other members are set to their final values (lines 35 and 36). \section{Maintenance Algorithms} The previous sections describes how to initialize and clear an mp\_int structure. To further support operations that are to be performed on mp\_int structures (such as addition and multiplication) the dependent algorithms must be -able to augment the precision of an mp\_int and -initialize mp\_ints with differing initial conditions. +able to augment the precision of an mp\_int and +initialize mp\_ints with differing initial conditions. These algorithms complete the set of low level algorithms required to work with mp\_int structures in the higher level algorithms such as addition, multiplication and modular exponentiation. \subsection{Augmenting an mp\_int's Precision} -When storing a value in an mp\_int structure, a sufficient number of digits must be available to accomodate the entire -result of an operation without loss of precision. Quite often the size of the array given by the \textbf{alloc} member -is large enough to simply increase the \textbf{used} digit count. However, when the size of the array is too small it +When storing a value in an mp\_int structure, a sufficient number of digits must be available to accomodate the entire +result of an operation without loss of precision. Quite often the size of the array given by the \textbf{alloc} member +is large enough to simply increase the \textbf{used} digit count. However, when the size of the array is too small it must be re-sized appropriately to accomodate the result. The mp\_grow algorithm will provide this functionality. \newpage\begin{figure}[here] @@ -907,20 +948,58 @@ must be re-sized appropriately to accomodate the result. The mp\_grow algorithm \end{figure} \textbf{Algorithm mp\_grow.} -It is ideal to prevent re-allocations from being performed if they are not required (step one). This is useful to -prevent mp\_ints from growing excessively in code that erroneously calls mp\_grow. +It is ideal to prevent re-allocations from being performed if they are not required (step one). This is useful to +prevent mp\_ints from growing excessively in code that erroneously calls mp\_grow. -The requested digit count is padded up to next multiple of \textbf{MP\_PREC} plus an additional \textbf{MP\_PREC} (steps two and three). -This helps prevent many trivial reallocations that would grow an mp\_int by trivially small values. +The requested digit count is padded up to next multiple of \textbf{MP\_PREC} plus an additional \textbf{MP\_PREC} (steps two and three). +This helps prevent many trivial reallocations that would grow an mp\_int by trivially small values. -It is assumed that the reallocation (step four) leaves the lower $a.alloc$ digits of the mp\_int intact. This is much -akin to how the \textit{realloc} function from the standard C library works. Since the newly allocated digits are +It is assumed that the reallocation (step four) leaves the lower $a.alloc$ digits of the mp\_int intact. This is much +akin to how the \textit{realloc} function from the standard C library works. Since the newly allocated digits are assumed to contain undefined values they are initially set to zero. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_grow.c \vspace{-3mm} \begin{alltt} +016 +017 /* grow as required */ +018 int mp_grow (mp_int * a, int size) +019 \{ +020 int i; +021 mp_digit *tmp; +022 +023 /* if the alloc size is smaller alloc more ram */ +024 if (a->alloc < size) \{ +025 /* ensure there are always at least MP_PREC digits extra on top */ +026 size += (MP_PREC * 2) - (size % MP_PREC); +027 +028 /* reallocate the array a->dp +029 * +030 * We store the return in a temporary variable +031 * in case the operation failed we don't want +032 * to overwrite the dp member of a. +033 */ +034 tmp = OPT_CAST(mp_digit) XREALLOC (a->dp, sizeof (mp_digit) * size); +035 if (tmp == NULL) \{ +036 /* reallocation failed but "a" is still valid [can be freed] */ +037 return MP_MEM; +038 \} +039 +040 /* reallocation succeeded so set a->dp */ +041 a->dp = tmp; +042 +043 /* zero excess digits */ +044 i = a->alloc; +045 a->alloc = size; +046 for (; i < a->alloc; i++) \{ +047 a->dp[i] = 0; +048 \} +049 \} +050 return MP_OKAY; +051 \} +052 #endif +053 \end{alltt} \end{small} @@ -929,19 +1008,19 @@ if the \textbf{alloc} member of the mp\_int is smaller than the requested digit the function skips the re-allocation part thus saving time. When a re-allocation is performed it is turned into an optimal request to save time in the future. The requested digit count is -padded upwards to 2nd multiple of \textbf{MP\_PREC} larger than \textbf{alloc} (line 25). The XREALLOC function is used +padded upwards to 2nd multiple of \textbf{MP\_PREC} larger than \textbf{alloc} (line 26). The XREALLOC function is used to re-allocate the memory. As per the other functions XREALLOC is actually a macro which evaluates to realloc by default. The realloc function leaves the base of the allocation intact which means the first \textbf{alloc} digits of the mp\_int are the same as before the re-allocation. All that is left is to clear the newly allocated digits and return. Note that the re-allocation result is actually stored in a temporary pointer $tmp$. This is to allow this function to return an error with a valid pointer. Earlier releases of the library stored the result of XREALLOC into the mp\_int $a$. That would -result in a memory leak if XREALLOC ever failed. +result in a memory leak if XREALLOC ever failed. \subsection{Initializing Variable Precision mp\_ints} -Occasionally the number of digits required will be known in advance of an initialization, based on, for example, the size -of input mp\_ints to a given algorithm. The purpose of algorithm mp\_init\_size is similar to mp\_init except that it -will allocate \textit{at least} a specified number of digits. +Occasionally the number of digits required will be known in advance of an initialization, based on, for example, the size +of input mp\_ints to a given algorithm. The purpose of algorithm mp\_init\_size is similar to mp\_init except that it +will allocate \textit{at least} a specified number of digits. \begin{figure}[here] \begin{small} @@ -968,12 +1047,12 @@ will allocate \textit{at least} a specified number of digits. \end{figure} \textbf{Algorithm mp\_init\_size.} -This algorithm will initialize an mp\_int structure $a$ like algorithm mp\_init with the exception that the number of -digits allocated can be controlled by the second input argument $b$. The input size is padded upwards so it is a -multiple of \textbf{MP\_PREC} plus an additional \textbf{MP\_PREC} digits. This padding is used to prevent trivial +This algorithm will initialize an mp\_int structure $a$ like algorithm mp\_init with the exception that the number of +digits allocated can be controlled by the second input argument $b$. The input size is padded upwards so it is a +multiple of \textbf{MP\_PREC} plus an additional \textbf{MP\_PREC} digits. This padding is used to prevent trivial allocations from becoming a bottleneck in the rest of the algorithms. -Like algorithm mp\_init, the mp\_int structure is initialized to a default state representing the integer zero. This +Like algorithm mp\_init, the mp\_int structure is initialized to a default state representing the integer zero. This particular algorithm is useful if it is known ahead of time the approximate size of the input. If the approximation is correct no further memory re-allocations are required to work with the mp\_int. @@ -981,22 +1060,51 @@ correct no further memory re-allocations are required to work with the mp\_int. \hspace{-5.1mm}{\bf File}: bn\_mp\_init\_size.c \vspace{-3mm} \begin{alltt} +016 +017 /* init an mp_init for a given size */ +018 int mp_init_size (mp_int * a, int size) +019 \{ +020 int x; +021 +022 /* pad size so there are always extra digits */ +023 size += (MP_PREC * 2) - (size % MP_PREC); +024 +025 /* alloc mem */ +026 a->dp = OPT_CAST(mp_digit) XMALLOC (sizeof (mp_digit) * size); +027 if (a->dp == NULL) \{ +028 return MP_MEM; +029 \} +030 +031 /* set the members */ +032 a->used = 0; +033 a->alloc = size; +034 a->sign = MP_ZPOS; +035 +036 /* zero the digits */ +037 for (x = 0; x < size; x++) \{ +038 a->dp[x] = 0; +039 \} +040 +041 return MP_OKAY; +042 \} +043 #endif +044 \end{alltt} \end{small} -The number of digits $b$ requested is padded (line 24) by first augmenting it to the next multiple of -\textbf{MP\_PREC} and then adding \textbf{MP\_PREC} to the result. If the memory can be successfully allocated the -mp\_int is placed in a default state representing the integer zero. Otherwise, the error code \textbf{MP\_MEM} will be -returned (line 29). +The number of digits $b$ requested is padded (line 23) by first augmenting it to the next multiple of +\textbf{MP\_PREC} and then adding \textbf{MP\_PREC} to the result. If the memory can be successfully allocated the +mp\_int is placed in a default state representing the integer zero. Otherwise, the error code \textbf{MP\_MEM} will be +returned (line 28). -The digits are allocated and set to zero at the same time with the calloc() function (line @25,XCALLOC@). The -\textbf{used} count is set to zero, the \textbf{alloc} count set to the padded digit count and the \textbf{sign} flag set -to \textbf{MP\_ZPOS} to achieve a default valid mp\_int state (lines 33, 34 and 35). If the function -returns succesfully then it is correct to assume that the mp\_int structure is in a valid state for the remainder of the +The digits are allocated with the malloc() function (line 26) and set to zero afterwards (line 37). The +\textbf{used} count is set to zero, the \textbf{alloc} count set to the padded digit count and the \textbf{sign} flag set +to \textbf{MP\_ZPOS} to achieve a default valid mp\_int state (lines 32, 33 and 34). If the function +returns succesfully then it is correct to assume that the mp\_int structure is in a valid state for the remainder of the functions to work with. \subsection{Multiple Integer Initializations and Clearings} -Occasionally a function will require a series of mp\_int data types to be made available simultaneously. +Occasionally a function will require a series of mp\_int data types to be made available simultaneously. The purpose of algorithm mp\_init\_multi is to initialize a variable length array of mp\_int structures in a single statement. It is essentially a shortcut to multiple initializations. @@ -1021,47 +1129,87 @@ statement. It is essentially a shortcut to multiple initializations. \end{figure} \textbf{Algorithm mp\_init\_multi.} -The algorithm will initialize the array of mp\_int variables one at a time. If a runtime error has been detected -(\textit{step 1.2}) all of the previously initialized variables are cleared. The goal is an ``all or nothing'' +The algorithm will initialize the array of mp\_int variables one at a time. If a runtime error has been detected +(\textit{step 1.2}) all of the previously initialized variables are cleared. The goal is an ``all or nothing'' initialization which allows for quick recovery from runtime errors. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_init\_multi.c \vspace{-3mm} \begin{alltt} +016 #include +017 +018 int mp_init_multi(mp_int *mp, ...) +019 \{ +020 mp_err res = MP_OKAY; /* Assume ok until proven otherwise */ +021 int n = 0; /* Number of ok inits */ +022 mp_int* cur_arg = mp; +023 va_list args; +024 +025 va_start(args, mp); /* init args to next argument from caller */ +026 while (cur_arg != NULL) \{ +027 if (mp_init(cur_arg) != MP_OKAY) \{ +028 /* Oops - error! Back-track and mp_clear what we already +029 succeeded in init-ing, then return error. +030 */ +031 va_list clean_args; +032 +033 /* end the current list */ +034 va_end(args); +035 +036 /* now start cleaning up */ +037 cur_arg = mp; +038 va_start(clean_args, mp); +039 while (n-- != 0) \{ +040 mp_clear(cur_arg); +041 cur_arg = va_arg(clean_args, mp_int*); +042 \} +043 va_end(clean_args); +044 res = MP_MEM; +045 break; +046 \} +047 n++; +048 cur_arg = va_arg(args, mp_int*); +049 \} +050 va_end(args); +051 return res; /* Assumed ok, if error flagged above. */ +052 \} +053 +054 #endif +055 \end{alltt} \end{small} This function intializes a variable length list of mp\_int structure pointers. However, instead of having the mp\_int -structures in an actual C array they are simply passed as arguments to the function. This function makes use of the -``...'' argument syntax of the C programming language. The list is terminated with a final \textbf{NULL} argument -appended on the right. +structures in an actual C array they are simply passed as arguments to the function. This function makes use of the +``...'' argument syntax of the C programming language. The list is terminated with a final \textbf{NULL} argument +appended on the right. The function uses the ``stdarg.h'' \textit{va} functions to step portably through the arguments to the function. A count -$n$ of succesfully initialized mp\_int structures is maintained (line 48) such that if a failure does occur, -the algorithm can backtrack and free the previously initialized structures (lines 28 to 47). +$n$ of succesfully initialized mp\_int structures is maintained (line 47) such that if a failure does occur, +the algorithm can backtrack and free the previously initialized structures (lines 27 to 46). \subsection{Clamping Excess Digits} -When a function anticipates a result will be $n$ digits it is simpler to assume this is true within the body of -the function instead of checking during the computation. For example, a multiplication of a $i$ digit number by a -$j$ digit produces a result of at most $i + j$ digits. It is entirely possible that the result is $i + j - 1$ -though, with no final carry into the last position. However, suppose the destination had to be first expanded -(\textit{via mp\_grow}) to accomodate $i + j - 1$ digits than further expanded to accomodate the final carry. +When a function anticipates a result will be $n$ digits it is simpler to assume this is true within the body of +the function instead of checking during the computation. For example, a multiplication of a $i$ digit number by a +$j$ digit produces a result of at most $i + j$ digits. It is entirely possible that the result is $i + j - 1$ +though, with no final carry into the last position. However, suppose the destination had to be first expanded +(\textit{via mp\_grow}) to accomodate $i + j - 1$ digits than further expanded to accomodate the final carry. That would be a considerable waste of time since heap operations are relatively slow. The ideal solution is to always assume the result is $i + j$ and fix up the \textbf{used} count after the function terminates. This way a single heap operation (\textit{at most}) is required. However, if the result was not checked -there would be an excess high order zero digit. +there would be an excess high order zero digit. -For example, suppose the product of two integers was $x_n = (0x_{n-1}x_{n-2}...x_0)_{\beta}$. The leading zero digit +For example, suppose the product of two integers was $x_n = (0x_{n-1}x_{n-2}...x_0)_{\beta}$. The leading zero digit will not contribute to the precision of the result. In fact, through subsequent operations more leading zero digits would -accumulate to the point the size of the integer would be prohibitive. As a result even though the precision is very -low the representation is excessively large. +accumulate to the point the size of the integer would be prohibitive. As a result even though the precision is very +low the representation is excessively large. -The mp\_clamp algorithm is designed to solve this very problem. It will trim high-order zeros by decrementing the -\textbf{used} count until a non-zero most significant digit is found. Also in this system, zero is considered to be a -positive number which means that if the \textbf{used} count is decremented to zero, the sign must be set to +The mp\_clamp algorithm is designed to solve this very problem. It will trim high-order zeros by decrementing the +\textbf{used} count until a non-zero most significant digit is found. Also in this system, zero is considered to be a +positive number which means that if the \textbf{used} count is decremented to zero, the sign must be set to \textbf{MP\_ZPOS}. \begin{figure}[here] @@ -1083,21 +1231,46 @@ positive number which means that if the \textbf{used} count is decremented to ze \textbf{Algorithm mp\_clamp.} As can be expected this algorithm is very simple. The loop on step one is expected to iterate only once or twice at -the most. For example, this will happen in cases where there is not a carry to fill the last position. Step two fixes the sign for +the most. For example, this will happen in cases where there is not a carry to fill the last position. Step two fixes the sign for when all of the digits are zero to ensure that the mp\_int is valid at all times. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_clamp.c \vspace{-3mm} \begin{alltt} +016 +017 /* trim unused digits +018 * +019 * This is used to ensure that leading zero digits are +020 * trimed and the leading "used" digit will be non-zero +021 * Typically very fast. Also fixes the sign if there +022 * are no more leading digits +023 */ +024 void +025 mp_clamp (mp_int * a) +026 \{ +027 /* decrease used while the most significant digit is +028 * zero. +029 */ +030 while ((a->used > 0) && (a->dp[a->used - 1] == 0)) \{ +031 --(a->used); +032 \} +033 +034 /* reset the sign flag if used == 0 */ +035 if (a->used == 0) \{ +036 a->sign = MP_ZPOS; +037 \} +038 \} +039 #endif +040 \end{alltt} \end{small} -Note on line 28 how to test for the \textbf{used} count is made on the left of the \&\& operator. In the C programming -language the terms to \&\& are evaluated left to right with a boolean short-circuit if any condition fails. This is -important since if the \textbf{used} is zero the test on the right would fetch below the array. That is obviously -undesirable. The parenthesis on line 31 is used to make sure the \textbf{used} count is decremented and not -the pointer ``a''. +Note on line 27 how to test for the \textbf{used} count is made on the left of the \&\& operator. In the C programming +language the terms to \&\& are evaluated left to right with a boolean short-circuit if any condition fails. This is +important since if the \textbf{used} is zero the test on the right would fetch below the array. That is obviously +undesirable. The parenthesis on line 30 is used to make sure the \textbf{used} count is decremented and not +the pointer ``a''. \section*{Exercises} \begin{tabular}{cl} @@ -1123,19 +1296,19 @@ $\left [ 1 \right ]$ & Give an example of when the algorithm mp\_init\_copy mig \section{Introduction} In the previous chapter a series of low level algorithms were established that dealt with initializing and maintaining -mp\_int structures. This chapter will discuss another set of seemingly non-algebraic algorithms which will form the low +mp\_int structures. This chapter will discuss another set of seemingly non-algebraic algorithms which will form the low level basis of the entire library. While these algorithm are relatively trivial it is important to understand how they work before proceeding since these algorithms will be used almost intrinsically in the following chapters. The algorithms in this chapter deal primarily with more ``programmer'' related tasks such as creating copies of mp\_int structures, assigning small values to mp\_int structures and comparisons of the values mp\_int structures -represent. +represent. \section{Assigning Values to mp\_int Structures} \subsection{Copying an mp\_int} Assigning the value that a given mp\_int structure represents to another mp\_int structure shall be known as making a copy for the purposes of this text. The copy of the mp\_int will be a separate entity that represents the same -value as the mp\_int it was copied from. The mp\_copy algorithm provides this functionality. +value as the mp\_int it was copied from. The mp\_copy algorithm provides this functionality. \newpage\begin{figure}[here] \begin{center} @@ -1160,45 +1333,94 @@ value as the mp\_int it was copied from. The mp\_copy algorithm provides this f \textbf{Algorithm mp\_copy.} This algorithm copies the mp\_int $a$ such that upon succesful termination of the algorithm the mp\_int $b$ will -represent the same integer as the mp\_int $a$. The mp\_int $b$ shall be a complete and distinct copy of the +represent the same integer as the mp\_int $a$. The mp\_int $b$ shall be a complete and distinct copy of the mp\_int $a$ meaing that the mp\_int $a$ can be modified and it shall not affect the value of the mp\_int $b$. -If $b$ does not have enough room for the digits of $a$ it must first have its precision augmented via the mp\_grow +If $b$ does not have enough room for the digits of $a$ it must first have its precision augmented via the mp\_grow algorithm. The digits of $a$ are copied over the digits of $b$ and any excess digits of $b$ are set to zero (step two and three). The \textbf{used} and \textbf{sign} members of $a$ are finally copied over the respective members of $b$. \textbf{Remark.} This algorithm also introduces a new idiosyncrasy that will be used throughout the rest of the -text. The error return codes of other algorithms are not explicitly checked in the pseudo-code presented. For example, in -step one of the mp\_copy algorithm the return of mp\_grow is not explicitly checked to ensure it succeeded. Text space is +text. The error return codes of other algorithms are not explicitly checked in the pseudo-code presented. For example, in +step one of the mp\_copy algorithm the return of mp\_grow is not explicitly checked to ensure it succeeded. Text space is limited so it is assumed that if a algorithm fails it will clear all temporarily allocated mp\_ints and return -the error code itself. However, the C code presented will demonstrate all of the error handling logic required to +the error code itself. However, the C code presented will demonstrate all of the error handling logic required to implement the pseudo-code. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_copy.c \vspace{-3mm} \begin{alltt} +016 +017 /* copy, b = a */ +018 int +019 mp_copy (mp_int * a, mp_int * b) +020 \{ +021 int res, n; +022 +023 /* if dst == src do nothing */ +024 if (a == b) \{ +025 return MP_OKAY; +026 \} +027 +028 /* grow dest */ +029 if (b->alloc < a->used) \{ +030 if ((res = mp_grow (b, a->used)) != MP_OKAY) \{ +031 return res; +032 \} +033 \} +034 +035 /* zero b and copy the parameters over */ +036 \{ +037 mp_digit *tmpa, *tmpb; +038 +039 /* pointer aliases */ +040 +041 /* source */ +042 tmpa = a->dp; +043 +044 /* destination */ +045 tmpb = b->dp; +046 +047 /* copy all the digits */ +048 for (n = 0; n < a->used; n++) \{ +049 *tmpb++ = *tmpa++; +050 \} +051 +052 /* clear high digits */ +053 for (; n < b->used; n++) \{ +054 *tmpb++ = 0; +055 \} +056 \} +057 +058 /* copy used count and sign */ +059 b->used = a->used; +060 b->sign = a->sign; +061 return MP_OKAY; +062 \} +063 #endif +064 \end{alltt} \end{small} Occasionally a dependent algorithm may copy an mp\_int effectively into itself such as when the input and output -mp\_int structures passed to a function are one and the same. For this case it is optimal to return immediately without -copying digits (line 25). +mp\_int structures passed to a function are one and the same. For this case it is optimal to return immediately without +copying digits (line 24). The mp\_int $b$ must have enough digits to accomodate the used digits of the mp\_int $a$. If $b.alloc$ is less than -$a.used$ the algorithm mp\_grow is used to augment the precision of $b$ (lines 30 to 33). In order to +$a.used$ the algorithm mp\_grow is used to augment the precision of $b$ (lines 29 to 33). In order to simplify the inner loop that copies the digits from $a$ to $b$, two aliases $tmpa$ and $tmpb$ point directly at the digits -of the mp\_ints $a$ and $b$ respectively. These aliases (lines 43 and 46) allow the compiler to access the digits without first dereferencing the -mp\_int pointers and then subsequently the pointer to the digits. +of the mp\_ints $a$ and $b$ respectively. These aliases (lines 42 and 45) allow the compiler to access the digits without first dereferencing the +mp\_int pointers and then subsequently the pointer to the digits. -After the aliases are established the digits from $a$ are copied into $b$ (lines 49 to 51) and then the excess -digits of $b$ are set to zero (lines 54 to 56). Both ``for'' loops make use of the pointer aliases and in -fact the alias for $b$ is carried through into the second ``for'' loop to clear the excess digits. This optimization +After the aliases are established the digits from $a$ are copied into $b$ (lines 48 to 50) and then the excess +digits of $b$ are set to zero (lines 53 to 55). Both ``for'' loops make use of the pointer aliases and in +fact the alias for $b$ is carried through into the second ``for'' loop to clear the excess digits. This optimization allows the alias to stay in a machine register fairly easy between the two loops. \textbf{Remarks.} The use of pointer aliases is an implementation methodology first introduced in this function that will -be used considerably in other functions. Technically, a pointer alias is simply a short hand alias used to lower the +be used considerably in other functions. Technically, a pointer alias is simply a short hand alias used to lower the number of pointer dereferencing operations required to access data. For example, a for loop may resemble \begin{alltt} @@ -1207,7 +1429,7 @@ for (x = 0; x < 100; x++) \{ \} \end{alltt} -This could be re-written using aliases as +This could be re-written using aliases as \begin{alltt} mp_digit *tmpa; @@ -1217,17 +1439,17 @@ for (x = 0; x < 100; x++) \{ \} \end{alltt} -In this case an alias is used to access the -array of digits within an mp\_int structure directly. It may seem that a pointer alias is strictly not required +In this case an alias is used to access the +array of digits within an mp\_int structure directly. It may seem that a pointer alias is strictly not required as a compiler may optimize out the redundant pointer operations. However, there are two dominant reasons to use aliases. -The first reason is that most compilers will not effectively optimize pointer arithmetic. For example, some optimizations -may work for the Microsoft Visual C++ compiler (MSVC) and not for the GNU C Compiler (GCC). Also some optimizations may -work for GCC and not MSVC. As such it is ideal to find a common ground for as many compilers as possible. Pointer -aliases optimize the code considerably before the compiler even reads the source code which means the end compiled code +The first reason is that most compilers will not effectively optimize pointer arithmetic. For example, some optimizations +may work for the Microsoft Visual C++ compiler (MSVC) and not for the GNU C Compiler (GCC). Also some optimizations may +work for GCC and not MSVC. As such it is ideal to find a common ground for as many compilers as possible. Pointer +aliases optimize the code considerably before the compiler even reads the source code which means the end compiled code stands a better chance of being faster. -The second reason is that pointer aliases often can make an algorithm simpler to read. Consider the first ``for'' +The second reason is that pointer aliases often can make an algorithm simpler to read. Consider the first ``for'' loop of the function mp\_copy() re-written to not use pointer aliases. \begin{alltt} @@ -1237,13 +1459,13 @@ loop of the function mp\_copy() re-written to not use pointer aliases. \} \end{alltt} -Whether this code is harder to read depends strongly on the individual. However, it is quantifiably slightly more +Whether this code is harder to read depends strongly on the individual. However, it is quantifiably slightly more complicated as there are four variables within the statement instead of just two. \subsubsection{Nested Statements} Another commonly used technique in the source routines is that certain sections of code are nested. This is used in particular with the pointer aliases to highlight code phases. For example, a Comba multiplier (discussed in chapter six) -will typically have three different phases. First the temporaries are initialized, then the columns calculated and +will typically have three different phases. First the temporaries are initialized, then the columns calculated and finally the carries are propagated. In this example the middle column production phase will typically be nested as it uses temporary variables and aliases the most. @@ -1252,9 +1474,9 @@ the various temporary variables required do not propagate into other sections of \subsection{Creating a Clone} -Another common operation is to make a local temporary copy of an mp\_int argument. To initialize an mp\_int -and then copy another existing mp\_int into the newly intialized mp\_int will be known as creating a clone. This is -useful within functions that need to modify an argument but do not wish to actually modify the original copy. The +Another common operation is to make a local temporary copy of an mp\_int argument. To initialize an mp\_int +and then copy another existing mp\_int into the newly intialized mp\_int will be known as creating a clone. This is +useful within functions that need to modify an argument but do not wish to actually modify the original copy. The mp\_init\_copy algorithm has been designed to help perform this task. \begin{figure}[here] @@ -1274,19 +1496,32 @@ mp\_init\_copy algorithm has been designed to help perform this task. \end{figure} \textbf{Algorithm mp\_init\_copy.} -This algorithm will initialize an mp\_int variable and copy another previously initialized mp\_int variable into it. As -such this algorithm will perform two operations in one step. +This algorithm will initialize an mp\_int variable and copy another previously initialized mp\_int variable into it. As +such this algorithm will perform two operations in one step. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_init\_copy.c \vspace{-3mm} \begin{alltt} +016 +017 /* creates "a" then copies b into it */ +018 int mp_init_copy (mp_int * a, mp_int * b) +019 \{ +020 int res; +021 +022 if ((res = mp_init_size (a, b->used)) != MP_OKAY) \{ +023 return res; +024 \} +025 return mp_copy (b, a); +026 \} +027 #endif +028 \end{alltt} \end{small} -This will initialize \textbf{a} and make it a verbatim copy of the contents of \textbf{b}. Note that +This will initialize \textbf{a} and make it a verbatim copy of the contents of \textbf{b}. Note that \textbf{a} will have its own memory allocated which means that \textbf{b} may be cleared after the call -and \textbf{a} will be left intact. +and \textbf{a} will be left intact. \section{Zeroing an Integer} Reseting an mp\_int to the default state is a common step in many algorithms. The mp\_zero algorithm will be the algorithm used to @@ -1310,16 +1545,33 @@ perform this task. \end{figure} \textbf{Algorithm mp\_zero.} -This algorithm simply resets a mp\_int to the default state. +This algorithm simply resets a mp\_int to the default state. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_zero.c \vspace{-3mm} \begin{alltt} +016 +017 /* set to zero */ +018 void mp_zero (mp_int * a) +019 \{ +020 int n; +021 mp_digit *tmp; +022 +023 a->sign = MP_ZPOS; +024 a->used = 0; +025 +026 tmp = a->dp; +027 for (n = 0; n < a->alloc; n++) \{ +028 *tmp++ = 0; +029 \} +030 \} +031 #endif +032 \end{alltt} \end{small} -After the function is completed, all of the digits are zeroed, the \textbf{used} count is zeroed and the +After the function is completed, all of the digits are zeroed, the \textbf{used} count is zeroed and the \textbf{sign} variable is set to \textbf{MP\_ZPOS}. \section{Sign Manipulation} @@ -1347,17 +1599,41 @@ the absolute value of an mp\_int. \textbf{Algorithm mp\_abs.} This algorithm computes the absolute of an mp\_int input. First it copies $a$ over $b$. This is an example of an algorithm where the check in mp\_copy that determines if the source and destination are equal proves useful. This allows, -for instance, the developer to pass the same mp\_int as the source and destination to this function without addition +for instance, the developer to pass the same mp\_int as the source and destination to this function without addition logic to handle it. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_abs.c \vspace{-3mm} \begin{alltt} +016 +017 /* b = |a| +018 * +019 * Simple function copies the input and fixes the sign to positive +020 */ +021 int +022 mp_abs (mp_int * a, mp_int * b) +023 \{ +024 int res; +025 +026 /* copy a to b */ +027 if (a != b) \{ +028 if ((res = mp_copy (a, b)) != MP_OKAY) \{ +029 return res; +030 \} +031 \} +032 +033 /* force the sign of b to positive */ +034 b->sign = MP_ZPOS; +035 +036 return MP_OKAY; +037 \} +038 #endif +039 \end{alltt} \end{small} -This fairly trivial algorithm first eliminates non--required duplications (line 28) and then sets the +This fairly trivial algorithm first eliminates non--required duplications (line 27) and then sets the \textbf{sign} flag to \textbf{MP\_ZPOS}. \subsection{Integer Negation} @@ -1387,7 +1663,7 @@ the negative of an mp\_int input. \textbf{Algorithm mp\_neg.} This algorithm computes the negation of an input. First it copies $a$ over $b$. If $a$ has no used digits then -the algorithm returns immediately. Otherwise it flips the sign flag and stores the result in $b$. Note that if +the algorithm returns immediately. Otherwise it flips the sign flag and stores the result in $b$. Note that if $a$ had no digits then it must be positive by definition. Had step three been omitted then the algorithm would return zero as negative. @@ -1395,10 +1671,31 @@ zero as negative. \hspace{-5.1mm}{\bf File}: bn\_mp\_neg.c \vspace{-3mm} \begin{alltt} +016 +017 /* b = -a */ +018 int mp_neg (mp_int * a, mp_int * b) +019 \{ +020 int res; +021 if (a != b) \{ +022 if ((res = mp_copy (a, b)) != MP_OKAY) \{ +023 return res; +024 \} +025 \} +026 +027 if (mp_iszero(b) != MP_YES) \{ +028 b->sign = (a->sign == MP_ZPOS) ? MP_NEG : MP_ZPOS; +029 \} else \{ +030 b->sign = MP_ZPOS; +031 \} +032 +033 return MP_OKAY; +034 \} +035 #endif +036 \end{alltt} \end{small} -Like mp\_abs() this function avoids non--required duplications (line 22) and then sets the sign. We +Like mp\_abs() this function avoids non--required duplications (line 21) and then sets the sign. We have to make sure that only non--zero values get a \textbf{sign} of \textbf{MP\_NEG}. If the mp\_int is zero than the \textbf{sign} is hard--coded to \textbf{MP\_ZPOS}. @@ -1417,9 +1714,9 @@ Often a mp\_int must be set to a relatively small value such as $1$ or $2$. For 2. $a_0 \leftarrow b \mbox{ (mod }\beta\mbox{)}$ \\ 3. $a.used \leftarrow \left \lbrace \begin{array}{ll} 1 & \mbox{if }a_0 > 0 \\ - 0 & \mbox{if }a_0 = 0 + 0 & \mbox{if }a_0 = 0 \end{array} \right .$ \\ -\hline +\hline \end{tabular} \end{center} \caption{Algorithm mp\_set} @@ -1433,19 +1730,29 @@ single digit is set (\textit{modulo $\beta$}) and the \textbf{used} count is adj \hspace{-5.1mm}{\bf File}: bn\_mp\_set.c \vspace{-3mm} \begin{alltt} +016 +017 /* set to a digit */ +018 void mp_set (mp_int * a, mp_digit b) +019 \{ +020 mp_zero (a); +021 a->dp[0] = b & MP_MASK; +022 a->used = (a->dp[0] != 0) ? 1 : 0; +023 \} +024 #endif +025 \end{alltt} \end{small} -First we zero (line 21) the mp\_int to make sure that the other members are initialized for a +First we zero (line 20) the mp\_int to make sure that the other members are initialized for a small positive constant. mp\_zero() ensures that the \textbf{sign} is positive and the \textbf{used} count -is zero. Next we set the digit and reduce it modulo $\beta$ (line 22). After this step we have to +is zero. Next we set the digit and reduce it modulo $\beta$ (line 21). After this step we have to check if the resulting digit is zero or not. If it is not then we set the \textbf{used} count to one, otherwise to zero. -We can quickly reduce modulo $\beta$ since it is of the form $2^k$ and a quick binary AND operation with +We can quickly reduce modulo $\beta$ since it is of the form $2^k$ and a quick binary AND operation with $2^k - 1$ will perform the same operation. -One important limitation of this function is that it will only set one digit. The size of a digit is not fixed, meaning source that uses +One important limitation of this function is that it will only set one digit. The size of a digit is not fixed, meaning source that uses this function should take that into account. Only trivially small constants can be set using this function. \subsection{Setting Large Constants} @@ -1473,9 +1780,9 @@ data type as input and will always treat it as a 32-bit integer. \end{figure} \textbf{Algorithm mp\_set\_int.} -The algorithm performs eight iterations of a simple loop where in each iteration four bits from the source are added to the +The algorithm performs eight iterations of a simple loop where in each iteration four bits from the source are added to the mp\_int. Step 2.1 will multiply the current result by sixteen making room for four more bits in the less significant positions. In step 2.2 the -next four bits from the source are extracted and are added to the mp\_int. The \textbf{used} digit count is +next four bits from the source are extracted and are added to the mp\_int. The \textbf{used} digit count is incremented to reflect the addition. The \textbf{used} digit counter is incremented since if any of the leading digits were zero the mp\_int would have zero digits used and the newly added four bits would be ignored. @@ -1485,27 +1792,56 @@ Excess zero digits are trimmed in steps 2.1 and 3 by using higher level algorith \hspace{-5.1mm}{\bf File}: bn\_mp\_set\_int.c \vspace{-3mm} \begin{alltt} +016 +017 /* set a 32-bit const */ +018 int mp_set_int (mp_int * a, unsigned long b) +019 \{ +020 int x, res; +021 +022 mp_zero (a); +023 +024 /* set four bits at a time */ +025 for (x = 0; x < 8; x++) \{ +026 /* shift the number up four bits */ +027 if ((res = mp_mul_2d (a, 4, a)) != MP_OKAY) \{ +028 return res; +029 \} +030 +031 /* OR in the top four bits of the source */ +032 a->dp[0] |= (b >> 28) & 15; +033 +034 /* shift the source up to the next four bits */ +035 b <<= 4; +036 +037 /* ensure that digits are not clamped off */ +038 a->used += 1; +039 \} +040 mp_clamp (a); +041 return MP_OKAY; +042 \} +043 #endif +044 \end{alltt} \end{small} This function sets four bits of the number at a time to handle all practical \textbf{DIGIT\_BIT} sizes. The weird -addition on line 39 ensures that the newly added in bits are added to the number of digits. While it may not -seem obvious as to why the digit counter does not grow exceedingly large it is because of the shift on line 28 -as well as the call to mp\_clamp() on line 41. Both functions will clamp excess leading digits which keeps +addition on line 38 ensures that the newly added in bits are added to the number of digits. While it may not +seem obvious as to why the digit counter does not grow exceedingly large it is because of the shift on line 27 +as well as the call to mp\_clamp() on line 40. Both functions will clamp excess leading digits which keeps the number of used digits low. \section{Comparisons} \subsection{Unsigned Comparisions} Comparing a multiple precision integer is performed with the exact same algorithm used to compare two decimal numbers. For example, to compare $1,234$ to $1,264$ the digits are extracted by their positions. That is we compare $1 \cdot 10^3 + 2 \cdot 10^2 + 3 \cdot 10^1 + 4 \cdot 10^0$ -to $1 \cdot 10^3 + 2 \cdot 10^2 + 6 \cdot 10^1 + 4 \cdot 10^0$ by comparing single digits at a time starting with the highest magnitude -positions. If any leading digit of one integer is greater than a digit in the same position of another integer then obviously it must be greater. +to $1 \cdot 10^3 + 2 \cdot 10^2 + 6 \cdot 10^1 + 4 \cdot 10^0$ by comparing single digits at a time starting with the highest magnitude +positions. If any leading digit of one integer is greater than a digit in the same position of another integer then obviously it must be greater. The first comparision routine that will be developed is the unsigned magnitude compare which will perform a comparison based on the digits of two -mp\_int variables alone. It will ignore the sign of the two inputs. Such a function is useful when an absolute comparison is required or if the +mp\_int variables alone. It will ignore the sign of the two inputs. Such a function is useful when an absolute comparison is required or if the signs are known to agree in advance. -To facilitate working with the results of the comparison functions three constants are required. +To facilitate working with the results of the comparison functions three constants are required. \begin{figure}[here] \begin{center} @@ -1541,9 +1877,9 @@ To facilitate working with the results of the comparison functions three constan \textbf{Algorithm mp\_cmp\_mag.} By saying ``$a$ to the left of $b$'' it is meant that the comparison is with respect to $a$, that is if $a$ is greater than $b$ it will return -\textbf{MP\_GT} and similar with respect to when $a = b$ and $a < b$. The first two steps compare the number of digits used in both $a$ and $b$. -Obviously if the digit counts differ there would be an imaginary zero digit in the smaller number where the leading digit of the larger number is. -If both have the same number of digits than the actual digits themselves must be compared starting at the leading digit. +\textbf{MP\_GT} and similar with respect to when $a = b$ and $a < b$. The first two steps compare the number of digits used in both $a$ and $b$. +Obviously if the digit counts differ there would be an imaginary zero digit in the smaller number where the leading digit of the larger number is. +If both have the same number of digits than the actual digits themselves must be compared starting at the leading digit. By step three both inputs must have the same number of digits so its safe to start from either $a.used - 1$ or $b.used - 1$ and count down to the zero'th digit. If after all of the digits have been compared, no difference is found, the algorithm returns \textbf{MP\_EQ}. @@ -1552,18 +1888,54 @@ the zero'th digit. If after all of the digits have been compared, no difference \hspace{-5.1mm}{\bf File}: bn\_mp\_cmp\_mag.c \vspace{-3mm} \begin{alltt} +016 +017 /* compare maginitude of two ints (unsigned) */ +018 int mp_cmp_mag (mp_int * a, mp_int * b) +019 \{ +020 int n; +021 mp_digit *tmpa, *tmpb; +022 +023 /* compare based on # of non-zero digits */ +024 if (a->used > b->used) \{ +025 return MP_GT; +026 \} +027 +028 if (a->used < b->used) \{ +029 return MP_LT; +030 \} +031 +032 /* alias for a */ +033 tmpa = a->dp + (a->used - 1); +034 +035 /* alias for b */ +036 tmpb = b->dp + (a->used - 1); +037 +038 /* compare based on digits */ +039 for (n = 0; n < a->used; ++n, --tmpa, --tmpb) \{ +040 if (*tmpa > *tmpb) \{ +041 return MP_GT; +042 \} +043 +044 if (*tmpa < *tmpb) \{ +045 return MP_LT; +046 \} +047 \} +048 return MP_EQ; +049 \} +050 #endif +051 \end{alltt} \end{small} -The two if statements (lines 25 and 29) compare the number of digits in the two inputs. These two are -performed before all of the digits are compared since it is a very cheap test to perform and can potentially save -considerable time. The implementation given is also not valid without those two statements. $b.alloc$ may be +The two if statements (lines 24 and 28) compare the number of digits in the two inputs. These two are +performed before all of the digits are compared since it is a very cheap test to perform and can potentially save +considerable time. The implementation given is also not valid without those two statements. $b.alloc$ may be smaller than $a.used$, meaning that undefined values will be read from $b$ past the end of the array of digits. \subsection{Signed Comparisons} -Comparing with sign considerations is also fairly critical in several routines (\textit{division for example}). Based on an unsigned magnitude +Comparing with sign considerations is also fairly critical in several routines (\textit{division for example}). Based on an unsigned magnitude comparison a trivial signed comparison algorithm can be written. \begin{figure}[here] @@ -1586,21 +1958,45 @@ comparison a trivial signed comparison algorithm can be written. \end{figure} \textbf{Algorithm mp\_cmp.} -The first two steps compare the signs of the two inputs. If the signs do not agree then it can return right away with the appropriate -comparison code. When the signs are equal the digits of the inputs must be compared to determine the correct result. In step -three the unsigned comparision flips the order of the arguments since they are both negative. For instance, if $-a > -b$ then +The first two steps compare the signs of the two inputs. If the signs do not agree then it can return right away with the appropriate +comparison code. When the signs are equal the digits of the inputs must be compared to determine the correct result. In step +three the unsigned comparision flips the order of the arguments since they are both negative. For instance, if $-a > -b$ then $\vert a \vert < \vert b \vert$. Step number four will compare the two when they are both positive. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_cmp.c \vspace{-3mm} \begin{alltt} +016 +017 /* compare two ints (signed)*/ +018 int +019 mp_cmp (mp_int * a, mp_int * b) +020 \{ +021 /* compare based on sign */ +022 if (a->sign != b->sign) \{ +023 if (a->sign == MP_NEG) \{ +024 return MP_LT; +025 \} else \{ +026 return MP_GT; +027 \} +028 \} +029 +030 /* compare digits */ +031 if (a->sign == MP_NEG) \{ +032 /* if negative compare opposite direction */ +033 return mp_cmp_mag(b, a); +034 \} else \{ +035 return mp_cmp_mag(a, b); +036 \} +037 \} +038 #endif +039 \end{alltt} \end{small} -The two if statements (lines 23 and 24) perform the initial sign comparison. If the signs are not the equal then which ever -has the positive sign is larger. The inputs are compared (line 32) based on magnitudes. If the signs were both -negative then the unsigned comparison is performed in the opposite direction (line 34). Otherwise, the signs are assumed to +The two if statements (lines 22 and 23) perform the initial sign comparison. If the signs are not the equal then which ever +has the positive sign is larger. The inputs are compared (line 31) based on magnitudes. If the signs were both +negative then the unsigned comparison is performed in the opposite direction (line 33). Otherwise, the signs are assumed to be both positive and a forward direction unsigned comparison is performed. \section*{Exercises} @@ -1617,37 +2013,37 @@ $\left [ 1 \right ]$ & Suggest a simple method to speed up the implementation of \chapter{Basic Arithmetic} \section{Introduction} -At this point algorithms for initialization, clearing, zeroing, copying, comparing and setting small constants have been -established. The next logical set of algorithms to develop are addition, subtraction and digit shifting algorithms. These -algorithms make use of the lower level algorithms and are the cruicial building block for the multiplication algorithms. It is very important -that these algorithms are highly optimized. On their own they are simple $O(n)$ algorithms but they can be called from higher level algorithms -which easily places them at $O(n^2)$ or even $O(n^3)$ work levels. - -All of the algorithms within this chapter make use of the logical bit shift operations denoted by $<<$ and $>>$ for left and right -logical shifts respectively. A logical shift is analogous to sliding the decimal point of radix-10 representations. For example, the real -number $0.9345$ is equivalent to $93.45\%$ which is found by sliding the the decimal two places to the right (\textit{multiplying by $\beta^2 = 10^2$}). -Algebraically a binary logical shift is equivalent to a division or multiplication by a power of two. +At this point algorithms for initialization, clearing, zeroing, copying, comparing and setting small constants have been +established. The next logical set of algorithms to develop are addition, subtraction and digit shifting algorithms. These +algorithms make use of the lower level algorithms and are the cruicial building block for the multiplication algorithms. It is very important +that these algorithms are highly optimized. On their own they are simple $O(n)$ algorithms but they can be called from higher level algorithms +which easily places them at $O(n^2)$ or even $O(n^3)$ work levels. + +All of the algorithms within this chapter make use of the logical bit shift operations denoted by $<<$ and $>>$ for left and right +logical shifts respectively. A logical shift is analogous to sliding the decimal point of radix-10 representations. For example, the real +number $0.9345$ is equivalent to $93.45\%$ which is found by sliding the the decimal two places to the right (\textit{multiplying by $\beta^2 = 10^2$}). +Algebraically a binary logical shift is equivalent to a division or multiplication by a power of two. For example, $a << k = a \cdot 2^k$ while $a >> k = \lfloor a/2^k \rfloor$. One significant difference between a logical shift and the way decimals are shifted is that digits below the zero'th position are removed -from the number. For example, consider $1101_2 >> 1$ using decimal notation this would produce $110.1_2$. However, with a logical shift the -result is $110_2$. +from the number. For example, consider $1101_2 >> 1$ using decimal notation this would produce $110.1_2$. However, with a logical shift the +result is $110_2$. \section{Addition and Subtraction} In common twos complement fixed precision arithmetic negative numbers are easily represented by subtraction from the modulus. For example, with 32-bit integers -$a - b\mbox{ (mod }2^{32}\mbox{)}$ is the same as $a + (2^{32} - b) \mbox{ (mod }2^{32}\mbox{)}$ since $2^{32} \equiv 0 \mbox{ (mod }2^{32}\mbox{)}$. +$a - b\mbox{ (mod }2^{32}\mbox{)}$ is the same as $a + (2^{32} - b) \mbox{ (mod }2^{32}\mbox{)}$ since $2^{32} \equiv 0 \mbox{ (mod }2^{32}\mbox{)}$. As a result subtraction can be performed with a trivial series of logical operations and an addition. However, in multiple precision arithmetic negative numbers are not represented in the same way. Instead a sign flag is used to keep track of the -sign of the integer. As a result signed addition and subtraction are actually implemented as conditional usage of lower level addition or +sign of the integer. As a result signed addition and subtraction are actually implemented as conditional usage of lower level addition or subtraction algorithms with the sign fixed up appropriately. The lower level algorithms will add or subtract integers without regard to the sign flag. That is they will add or subtract the magnitude of the integers respectively. \subsection{Low Level Addition} -An unsigned addition of multiple precision integers is performed with the same long-hand algorithm used to add decimal numbers. That is to add the -trailing digits first and propagate the resulting carry upwards. Since this is a lower level algorithm the name will have a ``s\_'' prefix. +An unsigned addition of multiple precision integers is performed with the same long-hand algorithm used to add decimal numbers. That is to add the +trailing digits first and propagate the resulting carry upwards. Since this is a lower level algorithm the name will have a ``s\_'' prefix. Historically that convention stems from the MPI library where ``s\_'' stood for static functions that were hidden from the developer entirely. \newpage @@ -1694,18 +2090,18 @@ Historically that convention stems from the MPI library where ``s\_'' stood for \end{figure} \textbf{Algorithm s\_mp\_add.} -This algorithm is loosely based on algorithm 14.7 of HAC \cite[pp. 594]{HAC} but has been extended to allow the inputs to have different magnitudes. -Coincidentally the description of algorithm A in Knuth \cite[pp. 266]{TAOCPV2} shares the same deficiency as the algorithm from \cite{HAC}. Even the +This algorithm is loosely based on algorithm 14.7 of HAC \cite[pp. 594]{HAC} but has been extended to allow the inputs to have different magnitudes. +Coincidentally the description of algorithm A in Knuth \cite[pp. 266]{TAOCPV2} shares the same deficiency as the algorithm from \cite{HAC}. Even the MIX pseudo machine code presented by Knuth \cite[pp. 266-267]{TAOCPV2} is incapable of handling inputs which are of different magnitudes. The first thing that has to be accomplished is to sort out which of the two inputs is the largest. The addition logic will simply add all of the smallest input to the largest input and store that first part of the result in the destination. Then it will apply a simpler addition loop to excess digits of the larger input. -The first two steps will handle sorting the inputs such that $min$ and $max$ hold the digit counts of the two +The first two steps will handle sorting the inputs such that $min$ and $max$ hold the digit counts of the two inputs. The variable $x$ will be an mp\_int alias for the largest input or the second input $b$ if they have the -same number of digits. After the inputs are sorted the destination $c$ is grown as required to accomodate the sum -of the two inputs. The original \textbf{used} count of $c$ is copied and set to the new used count. +same number of digits. After the inputs are sorted the destination $c$ is grown as required to accomodate the sum +of the two inputs. The original \textbf{used} count of $c$ is copied and set to the new used count. At this point the first addition loop will go through as many digit positions that both inputs have. The carry variable $\mu$ is set to zero outside the loop. Inside the loop an ``addition'' step requires three statements to produce @@ -1724,36 +2120,126 @@ The final carry is stored in $c_{max}$ and digits above $max$ upto $oldused$ are \hspace{-5.1mm}{\bf File}: bn\_s\_mp\_add.c \vspace{-3mm} \begin{alltt} +016 +017 /* low level addition, based on HAC pp.594, Algorithm 14.7 */ +018 int +019 s_mp_add (mp_int * a, mp_int * b, mp_int * c) +020 \{ +021 mp_int *x; +022 int olduse, res, min, max; +023 +024 /* find sizes, we let |a| <= |b| which means we have to sort +025 * them. "x" will point to the input with the most digits +026 */ +027 if (a->used > b->used) \{ +028 min = b->used; +029 max = a->used; +030 x = a; +031 \} else \{ +032 min = a->used; +033 max = b->used; +034 x = b; +035 \} +036 +037 /* init result */ +038 if (c->alloc < (max + 1)) \{ +039 if ((res = mp_grow (c, max + 1)) != MP_OKAY) \{ +040 return res; +041 \} +042 \} +043 +044 /* get old used digit count and set new one */ +045 olduse = c->used; +046 c->used = max + 1; +047 +048 \{ +049 mp_digit u, *tmpa, *tmpb, *tmpc; +050 int i; +051 +052 /* alias for digit pointers */ +053 +054 /* first input */ +055 tmpa = a->dp; +056 +057 /* second input */ +058 tmpb = b->dp; +059 +060 /* destination */ +061 tmpc = c->dp; +062 +063 /* zero the carry */ +064 u = 0; +065 for (i = 0; i < min; i++) \{ +066 /* Compute the sum at one digit, T[i] = A[i] + B[i] + U */ +067 *tmpc = *tmpa++ + *tmpb++ + u; +068 +069 /* U = carry bit of T[i] */ +070 u = *tmpc >> ((mp_digit)DIGIT_BIT); +071 +072 /* take away carry bit from T[i] */ +073 *tmpc++ &= MP_MASK; +074 \} +075 +076 /* now copy higher words if any, that is in A+B +077 * if A or B has more digits add those in +078 */ +079 if (min != max) \{ +080 for (; i < max; i++) \{ +081 /* T[i] = X[i] + U */ +082 *tmpc = x->dp[i] + u; +083 +084 /* U = carry bit of T[i] */ +085 u = *tmpc >> ((mp_digit)DIGIT_BIT); +086 +087 /* take away carry bit from T[i] */ +088 *tmpc++ &= MP_MASK; +089 \} +090 \} +091 +092 /* add carry */ +093 *tmpc++ = u; +094 +095 /* clear digits above oldused */ +096 for (i = c->used; i < olduse; i++) \{ +097 *tmpc++ = 0; +098 \} +099 \} +100 +101 mp_clamp (c); +102 return MP_OKAY; +103 \} +104 #endif +105 \end{alltt} \end{small} -We first sort (lines 28 to 36) the inputs based on magnitude and determine the $min$ and $max$ variables. +We first sort (lines 27 to 35) the inputs based on magnitude and determine the $min$ and $max$ variables. Note that $x$ is a pointer to an mp\_int assigned to the largest input, in effect it is a local alias. Next we -grow the destination (38 to 42) ensure that it can accomodate the result of the addition. +grow the destination (37 to 42) ensure that it can accomodate the result of the addition. -Similar to the implementation of mp\_copy this function uses the braced code and local aliases coding style. The three aliases that are on -lines 56, 59 and 62 represent the two inputs and destination variables respectively. These aliases are used to ensure the +Similar to the implementation of mp\_copy this function uses the braced code and local aliases coding style. The three aliases that are on +lines 55, 58 and 61 represent the two inputs and destination variables respectively. These aliases are used to ensure the compiler does not have to dereference $a$, $b$ or $c$ (respectively) to access the digits of the respective mp\_int. -The initial carry $u$ will be cleared (line 65), note that $u$ is of type mp\_digit which ensures type -compatibility within the implementation. The initial addition (line 66 to 75) adds digits from +The initial carry $u$ will be cleared (line 64), note that $u$ is of type mp\_digit which ensures type +compatibility within the implementation. The initial addition (line 65 to 74) adds digits from both inputs until the smallest input runs out of digits. Similarly the conditional addition loop -(line 81 to 90) adds the remaining digits from the larger of the two inputs. The addition is finished -with the final carry being stored in $tmpc$ (line 94). Note the ``++'' operator within the same expression. -After line 94, $tmpc$ will point to the $c.used$'th digit of the mp\_int $c$. This is useful -for the next loop (line 97 to 99) which set any old upper digits to zero. +(line 80 to 90) adds the remaining digits from the larger of the two inputs. The addition is finished +with the final carry being stored in $tmpc$ (line 93). Note the ``++'' operator within the same expression. +After line 93, $tmpc$ will point to the $c.used$'th digit of the mp\_int $c$. This is useful +for the next loop (line 96 to 99) which set any old upper digits to zero. \subsection{Low Level Subtraction} The low level unsigned subtraction algorithm is very similar to the low level unsigned addition algorithm. The principle difference is that the -unsigned subtraction algorithm requires the result to be positive. That is when computing $a - b$ the condition $\vert a \vert \ge \vert b\vert$ must -be met for this algorithm to function properly. Keep in mind this low level algorithm is not meant to be used in higher level algorithms directly. +unsigned subtraction algorithm requires the result to be positive. That is when computing $a - b$ the condition $\vert a \vert \ge \vert b\vert$ must +be met for this algorithm to function properly. Keep in mind this low level algorithm is not meant to be used in higher level algorithms directly. This algorithm as will be shown can be used to create functional signed addition and subtraction algorithms. For this algorithm a new variable is required to make the description simpler. Recall from section 1.3.1 that a mp\_digit must be able to represent -the range $0 \le x < 2\beta$ for the algorithms to work correctly. However, it is allowable that a mp\_digit represent a larger range of values. For -this algorithm we will assume that the variable $\gamma$ represents the number of bits available in a -mp\_digit (\textit{this implies $2^{\gamma} > \beta$}). +the range $0 \le x < 2\beta$ for the algorithms to work correctly. However, it is allowable that a mp\_digit represent a larger range of values. For +this algorithm we will assume that the variable $\gamma$ represents the number of bits available in a +mp\_digit (\textit{this implies $2^{\gamma} > \beta$}). For example, the default for LibTomMath is to use a ``unsigned long'' for the mp\_digit ``type'' while $\beta = 2^{28}$. In ISO C an ``unsigned long'' data type must be able to represent $0 \le x < 2^{32}$ meaning that in this case $\gamma \ge 32$. @@ -1769,7 +2255,7 @@ data type must be able to represent $0 \le x < 2^{32}$ meaning that in this case 1. $min \leftarrow b.used$ \\ 2. $max \leftarrow a.used$ \\ 3. If $c.alloc < max$ then grow $c$ to hold at least $max$ digits. (\textit{mp\_grow}) \\ -4. $oldused \leftarrow c.used$ \\ +4. $oldused \leftarrow c.used$ \\ 5. $c.used \leftarrow max$ \\ 6. $u \leftarrow 0$ \\ 7. for $n$ from $0$ to $min - 1$ do \\ @@ -1799,24 +2285,24 @@ passing variables $a$ and $b$ the condition that $\vert a \vert \ge \vert b \ver algorithm is loosely based on algorithm 14.9 \cite[pp. 595]{HAC} and is similar to algorithm S in \cite[pp. 267]{TAOCPV2} as well. As was the case of the algorithm s\_mp\_add both other references lack discussion concerning various practical details such as when the inputs differ in magnitude. -The initial sorting of the inputs is trivial in this algorithm since $a$ is guaranteed to have at least the same magnitude of $b$. Steps 1 and 2 -set the $min$ and $max$ variables. Unlike the addition routine there is guaranteed to be no carry which means that the final result can be at -most $max$ digits in length as opposed to $max + 1$. Similar to the addition algorithm the \textbf{used} count of $c$ is copied locally and +The initial sorting of the inputs is trivial in this algorithm since $a$ is guaranteed to have at least the same magnitude of $b$. Steps 1 and 2 +set the $min$ and $max$ variables. Unlike the addition routine there is guaranteed to be no carry which means that the final result can be at +most $max$ digits in length as opposed to $max + 1$. Similar to the addition algorithm the \textbf{used} count of $c$ is copied locally and set to the maximal count for the operation. -The subtraction loop that begins on step seven is essentially the same as the addition loop of algorithm s\_mp\_add except single precision -subtraction is used instead. Note the use of the $\gamma$ variable to extract the carry (\textit{also known as the borrow}) within the subtraction -loops. Under the assumption that two's complement single precision arithmetic is used this will successfully extract the desired carry. +The subtraction loop that begins on step seven is essentially the same as the addition loop of algorithm s\_mp\_add except single precision +subtraction is used instead. Note the use of the $\gamma$ variable to extract the carry (\textit{also known as the borrow}) within the subtraction +loops. Under the assumption that two's complement single precision arithmetic is used this will successfully extract the desired carry. -For example, consider subtracting $0101_2$ from $0100_2$ where $\gamma = 4$ and $\beta = 2$. The least significant bit will force a carry upwards to -the third bit which will be set to zero after the borrow. After the very first bit has been subtracted $4 - 1 \equiv 0011_2$ will remain, When the -third bit of $0101_2$ is subtracted from the result it will cause another carry. In this case though the carry will be forced to propagate all the -way to the most significant bit. +For example, consider subtracting $0101_2$ from $0100_2$ where $\gamma = 4$ and $\beta = 2$. The least significant bit will force a carry upwards to +the third bit which will be set to zero after the borrow. After the very first bit has been subtracted $4 - 1 \equiv 0011_2$ will remain, When the +third bit of $0101_2$ is subtracted from the result it will cause another carry. In this case though the carry will be forced to propagate all the +way to the most significant bit. -Recall that $\beta < 2^{\gamma}$. This means that if a carry does occur just before the $lg(\beta)$'th bit it will propagate all the way to the most +Recall that $\beta < 2^{\gamma}$. This means that if a carry does occur just before the $lg(\beta)$'th bit it will propagate all the way to the most significant bit. Thus, the high order bits of the mp\_digit that are not part of the actual digit will either be all zero, or all one. All that -is needed is a single zero or one bit for the carry. Therefore a single logical shift right by $\gamma - 1$ positions is sufficient to extract the -carry. This method of carry extraction may seem awkward but the reason for it becomes apparent when the implementation is discussed. +is needed is a single zero or one bit for the carry. Therefore a single logical shift right by $\gamma - 1$ positions is sufficient to extract the +carry. This method of carry extraction may seem awkward but the reason for it becomes apparent when the implementation is discussed. If $b$ has a smaller magnitude than $a$ then step 9 will force the carry and copy operation to propagate through the larger input $a$ into $c$. Step 10 will ensure that any leading digits of $c$ above the $max$'th position are zeroed. @@ -1825,33 +2311,104 @@ If $b$ has a smaller magnitude than $a$ then step 9 will force the carry and cop \hspace{-5.1mm}{\bf File}: bn\_s\_mp\_sub.c \vspace{-3mm} \begin{alltt} +016 +017 /* low level subtraction (assumes |a| > |b|), HAC pp.595 Algorithm 14.9 */ +018 int +019 s_mp_sub (mp_int * a, mp_int * b, mp_int * c) +020 \{ +021 int olduse, res, min, max; +022 +023 /* find sizes */ +024 min = b->used; +025 max = a->used; +026 +027 /* init result */ +028 if (c->alloc < max) \{ +029 if ((res = mp_grow (c, max)) != MP_OKAY) \{ +030 return res; +031 \} +032 \} +033 olduse = c->used; +034 c->used = max; +035 +036 \{ +037 mp_digit u, *tmpa, *tmpb, *tmpc; +038 int i; +039 +040 /* alias for digit pointers */ +041 tmpa = a->dp; +042 tmpb = b->dp; +043 tmpc = c->dp; +044 +045 /* set carry to zero */ +046 u = 0; +047 for (i = 0; i < min; i++) \{ +048 /* T[i] = A[i] - B[i] - U */ +049 *tmpc = (*tmpa++ - *tmpb++) - u; +050 +051 /* U = carry bit of T[i] +052 * Note this saves performing an AND operation since +053 * if a carry does occur it will propagate all the way to the +054 * MSB. As a result a single shift is enough to get the carry +055 */ +056 u = *tmpc >> ((mp_digit)((CHAR_BIT * sizeof(mp_digit)) - 1)); +057 +058 /* Clear carry from T[i] */ +059 *tmpc++ &= MP_MASK; +060 \} +061 +062 /* now copy higher words if any, e.g. if A has more digits than B */ +063 for (; i < max; i++) \{ +064 /* T[i] = A[i] - U */ +065 *tmpc = *tmpa++ - u; +066 +067 /* U = carry bit of T[i] */ +068 u = *tmpc >> ((mp_digit)((CHAR_BIT * sizeof(mp_digit)) - 1)); +069 +070 /* Clear carry from T[i] */ +071 *tmpc++ &= MP_MASK; +072 \} +073 +074 /* clear digits above used (since we may not have grown result above) */ + +075 for (i = c->used; i < olduse; i++) \{ +076 *tmpc++ = 0; +077 \} +078 \} +079 +080 mp_clamp (c); +081 return MP_OKAY; +082 \} +083 +084 #endif +085 \end{alltt} \end{small} -Like low level addition we ``sort'' the inputs. Except in this case the sorting is hardcoded -(lines 25 and 26). In reality the $min$ and $max$ variables are only aliases and are only -used to make the source code easier to read. Again the pointer alias optimization is used +Like low level addition we ``sort'' the inputs. Except in this case the sorting is hardcoded +(lines 24 and 25). In reality the $min$ and $max$ variables are only aliases and are only +used to make the source code easier to read. Again the pointer alias optimization is used within this algorithm. The aliases $tmpa$, $tmpb$ and $tmpc$ are initialized -(lines 42, 43 and 44) for $a$, $b$ and $c$ respectively. - -The first subtraction loop (lines 47 through 61) subtract digits from both inputs until the smaller of -the two inputs has been exhausted. As remarked earlier there is an implementation reason for using the ``awkward'' -method of extracting the carry (line 57). The traditional method for extracting the carry would be to shift -by $lg(\beta)$ positions and logically AND the least significant bit. The AND operation is required because all of -the bits above the $\lg(\beta)$'th bit will be set to one after a carry occurs from subtraction. This carry -extraction requires two relatively cheap operations to extract the carry. The other method is to simply shift the -most significant bit to the least significant bit thus extracting the carry with a single cheap operation. This +(lines 41, 42 and 43) for $a$, $b$ and $c$ respectively. + +The first subtraction loop (lines 46 through 60) subtract digits from both inputs until the smaller of +the two inputs has been exhausted. As remarked earlier there is an implementation reason for using the ``awkward'' +method of extracting the carry (line 56). The traditional method for extracting the carry would be to shift +by $lg(\beta)$ positions and logically AND the least significant bit. The AND operation is required because all of +the bits above the $\lg(\beta)$'th bit will be set to one after a carry occurs from subtraction. This carry +extraction requires two relatively cheap operations to extract the carry. The other method is to simply shift the +most significant bit to the least significant bit thus extracting the carry with a single cheap operation. This optimization only works on twos compliment machines which is a safe assumption to make. -If $a$ has a larger magnitude than $b$ an additional loop (lines 64 through 73) is required to propagate -the carry through $a$ and copy the result to $c$. +If $a$ has a larger magnitude than $b$ an additional loop (lines 63 through 72) is required to propagate +the carry through $a$ and copy the result to $c$. \subsection{High Level Addition} Now that both lower level addition and subtraction algorithms have been established an effective high level signed addition algorithm can be -established. This high level addition algorithm will be what other algorithms and developers will use to perform addition of mp\_int data -types. +established. This high level addition algorithm will be what other algorithms and developers will use to perform addition of mp\_int data +types. -Recall from section 5.2 that an mp\_int represents an integer with an unsigned mantissa (\textit{the array of digits}) and a \textbf{sign} +Recall from section 5.2 that an mp\_int represents an integer with an unsigned mantissa (\textit{the array of digits}) and a \textbf{sign} flag. A high level addition is actually performed as a series of eight separate cases which can be optimized down to three unique cases. \begin{figure}[!here] @@ -1879,8 +2436,8 @@ flag. A high level addition is actually performed as a series of eight separate \end{figure} \textbf{Algorithm mp\_add.} -This algorithm performs the signed addition of two mp\_int variables. There is no reference algorithm to draw upon from -either \cite{TAOCPV2} or \cite{HAC} since they both only provide unsigned operations. The algorithm is fairly +This algorithm performs the signed addition of two mp\_int variables. There is no reference algorithm to draw upon from +either \cite{TAOCPV2} or \cite{HAC} since they both only provide unsigned operations. The algorithm is fairly straightforward but restricted since subtraction can only produce positive results. \begin{figure}[here] @@ -1910,9 +2467,9 @@ straightforward but restricted since subtraction can only produce positive resul \label{fig:AddChart} \end{figure} -Figure~\ref{fig:AddChart} lists all of the eight possible input combinations and is sorted to show that only three -specific cases need to be handled. The return code of the unsigned operations at step 1.2, 2.1.2 and 2.2.2 are -forwarded to step three to check for errors. This simplifies the description of the algorithm considerably and best +Figure~\ref{fig:AddChart} lists all of the eight possible input combinations and is sorted to show that only three +specific cases need to be handled. The return code of the unsigned operations at step 1.2, 2.1.2 and 2.2.2 are +forwarded to step three to check for errors. This simplifies the description of the algorithm considerably and best follows how the implementation actually was achieved. Also note how the \textbf{sign} is set before the unsigned addition or subtraction is performed. Recall from the descriptions of algorithms @@ -1920,13 +2477,47 @@ s\_mp\_add and s\_mp\_sub that the mp\_clamp function is used at the end to trim to \textbf{MP\_ZPOS} when the \textbf{used} digit count reaches zero. For example, consider performing $-a + a$ with algorithm mp\_add. By the description of the algorithm the sign is set to \textbf{MP\_NEG} which would -produce a result of $-0$. However, since the sign is set first then the unsigned addition is performed the subsequent usage of algorithm mp\_clamp -within algorithm s\_mp\_add will force $-0$ to become $0$. +produce a result of $-0$. However, since the sign is set first then the unsigned addition is performed the subsequent usage of algorithm mp\_clamp +within algorithm s\_mp\_add will force $-0$ to become $0$. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_add.c \vspace{-3mm} \begin{alltt} +016 +017 /* high level addition (handles signs) */ +018 int mp_add (mp_int * a, mp_int * b, mp_int * c) +019 \{ +020 int sa, sb, res; +021 +022 /* get sign of both inputs */ +023 sa = a->sign; +024 sb = b->sign; +025 +026 /* handle two cases, not four */ +027 if (sa == sb) \{ +028 /* both positive or both negative */ +029 /* add their magnitudes, copy the sign */ +030 c->sign = sa; +031 res = s_mp_add (a, b, c); +032 \} else \{ +033 /* one positive, the other negative */ +034 /* subtract the one with the greater magnitude from */ +035 /* the one of the lesser magnitude. The result gets */ +036 /* the sign of the one with the greater magnitude. */ +037 if (mp_cmp_mag (a, b) == MP_LT) \{ +038 c->sign = sb; +039 res = s_mp_sub (b, a, c); +040 \} else \{ +041 c->sign = sa; +042 res = s_mp_sub (a, b, c); +043 \} +044 \} +045 return res; +046 \} +047 +048 #endif +049 \end{alltt} \end{small} @@ -1936,7 +2527,7 @@ explicitly checking it and returning the constant \textbf{MP\_OKAY}. The observ level functions do so. Returning their return code is sufficient. \subsection{High Level Subtraction} -The high level signed subtraction algorithm is essentially the same as the high level signed addition algorithm. +The high level signed subtraction algorithm is essentially the same as the high level signed addition algorithm. \newpage\begin{figure}[!here] \begin{center} @@ -1966,7 +2557,7 @@ The high level signed subtraction algorithm is essentially the same as the high \end{figure} \textbf{Algorithm mp\_sub.} -This algorithm performs the signed subtraction of two inputs. Similar to algorithm mp\_add there is no reference in either \cite{TAOCPV2} or +This algorithm performs the signed subtraction of two inputs. Similar to algorithm mp\_add there is no reference in either \cite{TAOCPV2} or \cite{HAC}. Also this algorithm is restricted by algorithm s\_mp\_sub. Chart \ref{fig:SubChart} lists the eight possible inputs and the operations required. @@ -1993,32 +2584,72 @@ the operations required. \label{fig:SubChart} \end{figure} -Similar to the case of algorithm mp\_add the \textbf{sign} is set first before the unsigned addition or subtraction. That is to prevent the -algorithm from producing $-a - -a = -0$ as a result. +Similar to the case of algorithm mp\_add the \textbf{sign} is set first before the unsigned addition or subtraction. That is to prevent the +algorithm from producing $-a - -a = -0$ as a result. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_sub.c \vspace{-3mm} \begin{alltt} +016 +017 /* high level subtraction (handles signs) */ +018 int +019 mp_sub (mp_int * a, mp_int * b, mp_int * c) +020 \{ +021 int sa, sb, res; +022 +023 sa = a->sign; +024 sb = b->sign; +025 +026 if (sa != sb) \{ +027 /* subtract a negative from a positive, OR */ +028 /* subtract a positive from a negative. */ +029 /* In either case, ADD their magnitudes, */ +030 /* and use the sign of the first number. */ +031 c->sign = sa; +032 res = s_mp_add (a, b, c); +033 \} else \{ +034 /* subtract a positive from a positive, OR */ +035 /* subtract a negative from a negative. */ +036 /* First, take the difference between their */ +037 /* magnitudes, then... */ +038 if (mp_cmp_mag (a, b) != MP_LT) \{ +039 /* Copy the sign from the first */ +040 c->sign = sa; +041 /* The first has a larger or equal magnitude */ +042 res = s_mp_sub (a, b, c); +043 \} else \{ +044 /* The result has the *opposite* sign from */ +045 /* the first number. */ +046 c->sign = (sa == MP_ZPOS) ? MP_NEG : MP_ZPOS; +047 /* The second has a larger magnitude */ +048 res = s_mp_sub (b, a, c); +049 \} +050 \} +051 return res; +052 \} +053 +054 #endif +055 \end{alltt} \end{small} Much like the implementation of algorithm mp\_add the variable $res$ is used to catch the return code of the unsigned addition or subtraction operations -and forward it to the end of the function. On line 39 the ``not equal to'' \textbf{MP\_LT} expression is used to emulate a -``greater than or equal to'' comparison. +and forward it to the end of the function. On line 38 the ``not equal to'' \textbf{MP\_LT} expression is used to emulate a +``greater than or equal to'' comparison. \section{Bit and Digit Shifting} -It is quite common to think of a multiple precision integer as a polynomial in $x$, that is $y = f(\beta)$ where $f(x) = \sum_{i=0}^{n-1} a_i x^i$. -This notation arises within discussion of Montgomery and Diminished Radix Reduction as well as Karatsuba multiplication and squaring. +It is quite common to think of a multiple precision integer as a polynomial in $x$, that is $y = f(\beta)$ where $f(x) = \sum_{i=0}^{n-1} a_i x^i$. +This notation arises within discussion of Montgomery and Diminished Radix Reduction as well as Karatsuba multiplication and squaring. In order to facilitate operations on polynomials in $x$ as above a series of simple ``digit'' algorithms have to be established. That is to shift the digits left or right as well to shift individual bits of the digits left and right. It is important to note that not all ``shift'' operations -are on radix-$\beta$ digits. +are on radix-$\beta$ digits. \subsection{Multiplication by Two} -In a binary system where the radix is a power of two multiplication by two not only arises often in other algorithms it is a fairly efficient -operation to perform. A single precision logical shift left is sufficient to multiply a single digit by two. +In a binary system where the radix is a power of two multiplication by two not only arises often in other algorithms it is a fairly efficient +operation to perform. A single precision logical shift left is sufficient to multiply a single digit by two. \newpage\begin{figure}[!here] \begin{small} @@ -2052,31 +2683,94 @@ operation to perform. A single precision logical shift left is sufficient to mu \end{figure} \textbf{Algorithm mp\_mul\_2.} -This algorithm will quickly multiply a mp\_int by two provided $\beta$ is a power of two. Neither \cite{TAOCPV2} nor \cite{HAC} describe such -an algorithm despite the fact it arises often in other algorithms. The algorithm is setup much like the lower level algorithm s\_mp\_add since -it is for all intents and purposes equivalent to the operation $b = \vert a \vert + \vert a \vert$. +This algorithm will quickly multiply a mp\_int by two provided $\beta$ is a power of two. Neither \cite{TAOCPV2} nor \cite{HAC} describe such +an algorithm despite the fact it arises often in other algorithms. The algorithm is setup much like the lower level algorithm s\_mp\_add since +it is for all intents and purposes equivalent to the operation $b = \vert a \vert + \vert a \vert$. Step 1 and 2 grow the input as required to accomodate the maximum number of \textbf{used} digits in the result. The initial \textbf{used} count is set to $a.used$ at step 4. Only if there is a final carry will the \textbf{used} count require adjustment. -Step 6 is an optimization implementation of the addition loop for this specific case. That is since the two values being added together +Step 6 is an optimization implementation of the addition loop for this specific case. That is since the two values being added together are the same there is no need to perform two reads from the digits of $a$. Step 6.1 performs a single precision shift on the current digit $a_n$ to obtain what will be the carry for the next iteration. Step 6.2 calculates the $n$'th digit of the result as single precision shift of $a_n$ plus -the previous carry. Recall from section 4.1 that $a_n << 1$ is equivalent to $a_n \cdot 2$. An iteration of the addition loop is finished with +the previous carry. Recall from section 4.1 that $a_n << 1$ is equivalent to $a_n \cdot 2$. An iteration of the addition loop is finished with forwarding the carry to the next iteration. -Step 7 takes care of any final carry by setting the $a.used$'th digit of the result to the carry and augmenting the \textbf{used} count of $b$. +Step 7 takes care of any final carry by setting the $a.used$'th digit of the result to the carry and augmenting the \textbf{used} count of $b$. Step 8 clears any leading digits of $b$ in case it originally had a larger magnitude than $a$. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_mul\_2.c \vspace{-3mm} \begin{alltt} +016 +017 /* b = a*2 */ +018 int mp_mul_2(mp_int * a, mp_int * b) +019 \{ +020 int x, res, oldused; +021 +022 /* grow to accomodate result */ +023 if (b->alloc < (a->used + 1)) \{ +024 if ((res = mp_grow (b, a->used + 1)) != MP_OKAY) \{ +025 return res; +026 \} +027 \} +028 +029 oldused = b->used; +030 b->used = a->used; +031 +032 \{ +033 mp_digit r, rr, *tmpa, *tmpb; +034 +035 /* alias for source */ +036 tmpa = a->dp; +037 +038 /* alias for dest */ +039 tmpb = b->dp; +040 +041 /* carry */ +042 r = 0; +043 for (x = 0; x < a->used; x++) \{ +044 +045 /* get what will be the *next* carry bit from the +046 * MSB of the current digit +047 */ +048 rr = *tmpa >> ((mp_digit)(DIGIT_BIT - 1)); +049 +050 /* now shift up this digit, add in the carry [from the previous] */ +051 *tmpb++ = ((*tmpa++ << ((mp_digit)1)) | r) & MP_MASK; +052 +053 /* copy the carry that would be from the source +054 * digit into the next iteration +055 */ +056 r = rr; +057 \} +058 +059 /* new leading digit? */ +060 if (r != 0) \{ +061 /* add a MSB which is always 1 at this point */ +062 *tmpb = 1; +063 ++(b->used); +064 \} +065 +066 /* now zero any excess digits on the destination +067 * that we didn't write to +068 */ +069 tmpb = b->dp + b->used; +070 for (x = b->used; x < oldused; x++) \{ +071 *tmpb++ = 0; +072 \} +073 \} +074 b->sign = a->sign; +075 return MP_OKAY; +076 \} +077 #endif +078 \end{alltt} \end{small} This implementation is essentially an optimized implementation of s\_mp\_add for the case of doubling an input. The only noteworthy difference -is the use of the logical shift operator on line 52 to perform a single precision doubling. +is the use of the logical shift operator on line 51 to perform a single precision doubling. \subsection{Division by Two} A division by two can just as easily be accomplished with a logical shift right as multiplication by two can be with a logical shift left. @@ -2117,31 +2811,80 @@ core as the basis of the algorithm. Unlike mp\_mul\_2 the shift operations work could be written to work from the trailing digit to the leading digit however, it would have to stop one short of $a.used - 1$ digits to prevent reading past the end of the array of digits. -Essentially the loop at step 6 is similar to that of mp\_mul\_2 except the logical shifts go in the opposite direction and the carry is at the -least significant bit not the most significant bit. +Essentially the loop at step 6 is similar to that of mp\_mul\_2 except the logical shifts go in the opposite direction and the carry is at the +least significant bit not the most significant bit. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_div\_2.c \vspace{-3mm} \begin{alltt} +016 +017 /* b = a/2 */ +018 int mp_div_2(mp_int * a, mp_int * b) +019 \{ +020 int x, res, oldused; +021 +022 /* copy */ +023 if (b->alloc < a->used) \{ +024 if ((res = mp_grow (b, a->used)) != MP_OKAY) \{ +025 return res; +026 \} +027 \} +028 +029 oldused = b->used; +030 b->used = a->used; +031 \{ +032 mp_digit r, rr, *tmpa, *tmpb; +033 +034 /* source alias */ +035 tmpa = a->dp + b->used - 1; +036 +037 /* dest alias */ +038 tmpb = b->dp + b->used - 1; +039 +040 /* carry */ +041 r = 0; +042 for (x = b->used - 1; x >= 0; x--) \{ +043 /* get the carry for the next iteration */ +044 rr = *tmpa & 1; +045 +046 /* shift the current digit, add in carry and store */ +047 *tmpb-- = (*tmpa-- >> 1) | (r << (DIGIT_BIT - 1)); +048 +049 /* forward carry to next iteration */ +050 r = rr; +051 \} +052 +053 /* zero excess digits */ +054 tmpb = b->dp + b->used; +055 for (x = b->used; x < oldused; x++) \{ +056 *tmpb++ = 0; +057 \} +058 \} +059 b->sign = a->sign; +060 mp_clamp (b); +061 return MP_OKAY; +062 \} +063 #endif +064 \end{alltt} \end{small} \section{Polynomial Basis Operations} Recall from section 4.3 that any integer can be represented as a polynomial in $x$ as $y = f(\beta)$. Such a representation is also known as -the polynomial basis \cite[pp. 48]{ROSE}. Given such a notation a multiplication or division by $x$ amounts to shifting whole digits a single +the polynomial basis \cite[pp. 48]{ROSE}. Given such a notation a multiplication or division by $x$ amounts to shifting whole digits a single place. The need for such operations arises in several other higher level algorithms such as Barrett and Montgomery reduction, integer -division and Karatsuba multiplication. +division and Karatsuba multiplication. Converting from an array of digits to polynomial basis is very simple. Consider the integer $y \equiv (a_2, a_1, a_0)_{\beta}$ and recall that $y = \sum_{i=0}^{2} a_i \beta^i$. Simply replace $\beta$ with $x$ and the expression is in polynomial basis. For example, $f(x) = 8x + 9$ is the -polynomial basis representation for $89$ using radix ten. That is, $f(10) = 8(10) + 9 = 89$. +polynomial basis representation for $89$ using radix ten. That is, $f(10) = 8(10) + 9 = 89$. \subsection{Multiplication by $x$} -Given a polynomial in $x$ such as $f(x) = a_n x^n + a_{n-1} x^{n-1} + ... + a_0$ multiplying by $x$ amounts to shifting the coefficients up one +Given a polynomial in $x$ such as $f(x) = a_n x^n + a_{n-1} x^{n-1} + ... + a_0$ multiplying by $x$ amounts to shifting the coefficients up one degree. In this case $f(x) \cdot x = a_n x^{n+1} + a_{n-1} x^n + ... + a_0 x$. From a scalar basis point of view multiplying by $x$ is equivalent to -multiplying by the integer $\beta$. +multiplying by the integer $\beta$. \newpage\begin{figure}[!here] \begin{small} @@ -2172,16 +2915,16 @@ multiplying by the integer $\beta$. \end{figure} \textbf{Algorithm mp\_lshd.} -This algorithm multiplies an mp\_int by the $b$'th power of $x$. This is equivalent to multiplying by $\beta^b$. The algorithm differs +This algorithm multiplies an mp\_int by the $b$'th power of $x$. This is equivalent to multiplying by $\beta^b$. The algorithm differs from the other algorithms presented so far as it performs the operation in place instead storing the result in a separate location. The motivation behind this change is due to the way this function is typically used. Algorithms such as mp\_add store the result in an optionally different third mp\_int because the original inputs are often still required. Algorithm mp\_lshd (\textit{and similarly algorithm mp\_rshd}) is -typically used on values where the original value is no longer required. The algorithm will return success immediately if -$b \le 0$ since the rest of algorithm is only valid when $b > 0$. +typically used on values where the original value is no longer required. The algorithm will return success immediately if +$b \le 0$ since the rest of algorithm is only valid when $b > 0$. First the destination $a$ is grown as required to accomodate the result. The counters $i$ and $j$ are used to form a \textit{sliding window} over -the digits of $a$ of length $b$. The head of the sliding window is at $i$ (\textit{the leading digit}) and the tail at $j$ (\textit{the trailing digit}). -The loop on step 7 copies the digit from the tail to the head. In each iteration the window is moved down one digit. The last loop on +the digits of $a$ of length $b$. The head of the sliding window is at $i$ (\textit{the leading digit}) and the tail at $j$ (\textit{the trailing digit}). +The loop on step 7 copies the digit from the tail to the head. In each iteration the window is moved down one digit. The last loop on step 8 sets the lower $b$ digits to zero. \newpage @@ -2197,18 +2940,66 @@ step 8 sets the lower $b$ digits to zero. \hspace{-5.1mm}{\bf File}: bn\_mp\_lshd.c \vspace{-3mm} \begin{alltt} +016 +017 /* shift left a certain amount of digits */ +018 int mp_lshd (mp_int * a, int b) +019 \{ +020 int x, res; +021 +022 /* if its less than zero return */ +023 if (b <= 0) \{ +024 return MP_OKAY; +025 \} +026 +027 /* grow to fit the new digits */ +028 if (a->alloc < (a->used + b)) \{ +029 if ((res = mp_grow (a, a->used + b)) != MP_OKAY) \{ +030 return res; +031 \} +032 \} +033 +034 \{ +035 mp_digit *top, *bottom; +036 +037 /* increment the used by the shift amount then copy upwards */ +038 a->used += b; +039 +040 /* top */ +041 top = a->dp + a->used - 1; +042 +043 /* base */ +044 bottom = (a->dp + a->used - 1) - b; +045 +046 /* much like mp_rshd this is implemented using a sliding window +047 * except the window goes the otherway around. Copying from +048 * the bottom to the top. see bn_mp_rshd.c for more info. +049 */ +050 for (x = a->used - 1; x >= b; x--) \{ +051 *top-- = *bottom--; +052 \} +053 +054 /* zero the lower digits */ +055 top = a->dp; +056 for (x = 0; x < b; x++) \{ +057 *top++ = 0; +058 \} +059 \} +060 return MP_OKAY; +061 \} +062 #endif +063 \end{alltt} \end{small} -The if statement (line 24) ensures that the $b$ variable is greater than zero since we do not interpret negative -shift counts properly. The \textbf{used} count is incremented by $b$ before the copy loop begins. This elminates -the need for an additional variable in the for loop. The variable $top$ (line 42) is an alias -for the leading digit while $bottom$ (line 45) is an alias for the trailing edge. The aliases form a -window of exactly $b$ digits over the input. +The if statement (line 23) ensures that the $b$ variable is greater than zero since we do not interpret negative +shift counts properly. The \textbf{used} count is incremented by $b$ before the copy loop begins. This elminates +the need for an additional variable in the for loop. The variable $top$ (line 41) is an alias +for the leading digit while $bottom$ (line 44) is an alias for the trailing edge. The aliases form a +window of exactly $b$ digits over the input. \subsection{Division by $x$} -Division by powers of $x$ is easily achieved by shifting the digits right and removing any that will end up to the right of the zero'th digit. +Division by powers of $x$ is easily achieved by shifting the digits right and removing any that will end up to the right of the zero'th digit. \newpage\begin{figure}[!here] \begin{small} @@ -2241,13 +3032,13 @@ Division by powers of $x$ is easily achieved by shifting the digits right and re \textbf{Algorithm mp\_rshd.} This algorithm divides the input in place by the $b$'th power of $x$. It is analogous to dividing by a $\beta^b$ but much quicker since -it does not require single precision division. This algorithm does not actually return an error code as it cannot fail. +it does not require single precision division. This algorithm does not actually return an error code as it cannot fail. If the input $b$ is less than one the algorithm quickly returns without performing any work. If the \textbf{used} count is less than or equal to the shift count $b$ then it will simply zero the input and return. After the trivial cases of inputs have been handled the sliding window is setup. Much like the case of algorithm mp\_lshd a sliding window that -is $b$ digits wide is used to copy the digits. Unlike mp\_lshd the window slides in the opposite direction from the trailing to the leading digit. +is $b$ digits wide is used to copy the digits. Unlike mp\_lshd the window slides in the opposite direction from the trailing to the leading digit. Also the digits are copied from the leading to the trailing edge. Once the window copy is complete the upper digits must be zeroed and the \textbf{used} count decremented. @@ -2256,18 +3047,71 @@ Once the window copy is complete the upper digits must be zeroed and the \textbf \hspace{-5.1mm}{\bf File}: bn\_mp\_rshd.c \vspace{-3mm} \begin{alltt} +016 +017 /* shift right a certain amount of digits */ +018 void mp_rshd (mp_int * a, int b) +019 \{ +020 int x; +021 +022 /* if b <= 0 then ignore it */ +023 if (b <= 0) \{ +024 return; +025 \} +026 +027 /* if b > used then simply zero it and return */ +028 if (a->used <= b) \{ +029 mp_zero (a); +030 return; +031 \} +032 +033 \{ +034 mp_digit *bottom, *top; +035 +036 /* shift the digits down */ +037 +038 /* bottom */ +039 bottom = a->dp; +040 +041 /* top [offset into digits] */ +042 top = a->dp + b; +043 +044 /* this is implemented as a sliding window where +045 * the window is b-digits long and digits from +046 * the top of the window are copied to the bottom +047 * +048 * e.g. +049 +050 b-2 | b-1 | b0 | b1 | b2 | ... | bb | ----> +051 /\symbol{92} | ----> +052 \symbol{92}-------------------/ ----> +053 */ +054 for (x = 0; x < (a->used - b); x++) \{ +055 *bottom++ = *top++; +056 \} +057 +058 /* zero the top digits */ +059 for (; x < a->used; x++) \{ +060 *bottom++ = 0; +061 \} +062 \} +063 +064 /* remove excess digits */ +065 a->used -= b; +066 \} +067 #endif +068 \end{alltt} \end{small} The only noteworthy element of this routine is the lack of a return type since it cannot fail. Like mp\_lshd() we -form a sliding window except we copy in the other direction. After the window (line 60) we then zero +form a sliding window except we copy in the other direction. After the window (line 59) we then zero the upper digits of the input to make sure the result is correct. \section{Powers of Two} -Now that algorithms for moving single bits as well as whole digits exist algorithms for moving the ``in between'' distances are required. For +Now that algorithms for moving single bits as well as whole digits exist algorithms for moving the ``in between'' distances are required. For example, to quickly multiply by $2^k$ for any $k$ without using a full multiplier algorithm would prove useful. Instead of performing single -shifts $k$ times to achieve a multiplication by $2^{\pm k}$ a mixture of whole digit shifting and partial digit shifting is employed. +shifts $k$ times to achieve a multiplication by $2^{\pm k}$ a mixture of whole digit shifting and partial digit shifting is employed. \subsection{Multiplication by Power of Two} @@ -2308,34 +3152,100 @@ shifts $k$ times to achieve a multiplication by $2^{\pm k}$ a mixture of whole d This algorithm multiplies $a$ by $2^b$ and stores the result in $c$. The algorithm uses algorithm mp\_lshd and a derivative of algorithm mp\_mul\_2 to quickly compute the product. -First the algorithm will multiply $a$ by $x^{\lfloor b / lg(\beta) \rfloor}$ which will ensure that the remainder multiplicand is less than -$\beta$. For example, if $b = 37$ and $\beta = 2^{28}$ then this step will multiply by $x$ leaving a multiplication by $2^{37 - 28} = 2^{9}$ +First the algorithm will multiply $a$ by $x^{\lfloor b / lg(\beta) \rfloor}$ which will ensure that the remainder multiplicand is less than +$\beta$. For example, if $b = 37$ and $\beta = 2^{28}$ then this step will multiply by $x$ leaving a multiplication by $2^{37 - 28} = 2^{9}$ left. -After the digits have been shifted appropriately at most $lg(\beta) - 1$ shifts are left to perform. Step 5 calculates the number of remaining shifts -required. If it is non-zero a modified shift loop is used to calculate the remaining product. +After the digits have been shifted appropriately at most $lg(\beta) - 1$ shifts are left to perform. Step 5 calculates the number of remaining shifts +required. If it is non-zero a modified shift loop is used to calculate the remaining product. Essentially the loop is a generic version of algorithm mp\_mul\_2 designed to handle any shift count in the range $1 \le x < lg(\beta)$. The $mask$ -variable is used to extract the upper $d$ bits to form the carry for the next iteration. +variable is used to extract the upper $d$ bits to form the carry for the next iteration. -This algorithm is loosely measured as a $O(2n)$ algorithm which means that if the input is $n$-digits that it takes $2n$ ``time'' to +This algorithm is loosely measured as a $O(2n)$ algorithm which means that if the input is $n$-digits that it takes $2n$ ``time'' to complete. It is possible to optimize this algorithm down to a $O(n)$ algorithm at a cost of making the algorithm slightly harder to follow. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_mul\_2d.c \vspace{-3mm} \begin{alltt} +016 +017 /* shift left by a certain bit count */ +018 int mp_mul_2d (mp_int * a, int b, mp_int * c) +019 \{ +020 mp_digit d; +021 int res; +022 +023 /* copy */ +024 if (a != c) \{ +025 if ((res = mp_copy (a, c)) != MP_OKAY) \{ +026 return res; +027 \} +028 \} +029 +030 if (c->alloc < (int)(c->used + (b / DIGIT_BIT) + 1)) \{ +031 if ((res = mp_grow (c, c->used + (b / DIGIT_BIT) + 1)) != MP_OKAY) \{ +032 return res; +033 \} +034 \} +035 +036 /* shift by as many digits in the bit count */ +037 if (b >= (int)DIGIT_BIT) \{ +038 if ((res = mp_lshd (c, b / DIGIT_BIT)) != MP_OKAY) \{ +039 return res; +040 \} +041 \} +042 +043 /* shift any bit count < DIGIT_BIT */ +044 d = (mp_digit) (b % DIGIT_BIT); +045 if (d != 0) \{ +046 mp_digit *tmpc, shift, mask, r, rr; +047 int x; +048 +049 /* bitmask for carries */ +050 mask = (((mp_digit)1) << d) - 1; +051 +052 /* shift for msbs */ +053 shift = DIGIT_BIT - d; +054 +055 /* alias */ +056 tmpc = c->dp; +057 +058 /* carry */ +059 r = 0; +060 for (x = 0; x < c->used; x++) \{ +061 /* get the higher bits of the current word */ +062 rr = (*tmpc >> shift) & mask; +063 +064 /* shift the current word and OR in the carry */ +065 *tmpc = ((*tmpc << d) | r) & MP_MASK; +066 ++tmpc; +067 +068 /* set the carry to the carry bits of the current word */ +069 r = rr; +070 \} +071 +072 /* set final carry */ +073 if (r != 0) \{ +074 c->dp[(c->used)++] = r; +075 \} +076 \} +077 mp_clamp (c); +078 return MP_OKAY; +079 \} +080 #endif +081 \end{alltt} \end{small} -The shifting is performed in--place which means the first step (line 25) is to copy the input to the +The shifting is performed in--place which means the first step (line 24) is to copy the input to the destination. We avoid calling mp\_copy() by making sure the mp\_ints are different. The destination then -has to be grown (line 32) to accomodate the result. +has to be grown (line 31) to accomodate the result. -If the shift count $b$ is larger than $lg(\beta)$ then a call to mp\_lshd() is used to handle all of the multiples -of $lg(\beta)$. Leaving only a remaining shift of $lg(\beta) - 1$ or fewer bits left. Inside the actual shift -loop (lines 46 to 76) we make use of pre--computed values $shift$ and $mask$. These are used to -extract the carry bit(s) to pass into the next iteration of the loop. The $r$ and $rr$ variables form a -chain between consecutive iterations to propagate the carry. +If the shift count $b$ is larger than $lg(\beta)$ then a call to mp\_lshd() is used to handle all of the multiples +of $lg(\beta)$. Leaving only a remaining shift of $lg(\beta) - 1$ or fewer bits left. Inside the actual shift +loop (lines 45 to 76) we make use of pre--computed values $shift$ and $mask$. These are used to +extract the carry bit(s) to pass into the next iteration of the loop. The $r$ and $rr$ variables form a +chain between consecutive iterations to propagate the carry. \subsection{Division by Power of Two} @@ -2373,7 +3283,7 @@ chain between consecutive iterations to propagate the carry. \end{figure} \textbf{Algorithm mp\_div\_2d.} -This algorithm will divide an input $a$ by $2^b$ and produce the quotient and remainder. The algorithm is designed much like algorithm +This algorithm will divide an input $a$ by $2^b$ and produce the quotient and remainder. The algorithm is designed much like algorithm mp\_mul\_2d by first using whole digit shifts then single precision shifts. This algorithm will also produce the remainder of the division by using algorithm mp\_mod\_2d. @@ -2381,11 +3291,91 @@ by using algorithm mp\_mod\_2d. \hspace{-5.1mm}{\bf File}: bn\_mp\_div\_2d.c \vspace{-3mm} \begin{alltt} +016 +017 /* shift right by a certain bit count (store quotient in c, optional remaind + er in d) */ +018 int mp_div_2d (mp_int * a, int b, mp_int * c, mp_int * d) +019 \{ +020 mp_digit D, r, rr; +021 int x, res; +022 mp_int t; +023 +024 +025 /* if the shift count is <= 0 then we do no work */ +026 if (b <= 0) \{ +027 res = mp_copy (a, c); +028 if (d != NULL) \{ +029 mp_zero (d); +030 \} +031 return res; +032 \} +033 +034 if ((res = mp_init (&t)) != MP_OKAY) \{ +035 return res; +036 \} +037 +038 /* get the remainder */ +039 if (d != NULL) \{ +040 if ((res = mp_mod_2d (a, b, &t)) != MP_OKAY) \{ +041 mp_clear (&t); +042 return res; +043 \} +044 \} +045 +046 /* copy */ +047 if ((res = mp_copy (a, c)) != MP_OKAY) \{ +048 mp_clear (&t); +049 return res; +050 \} +051 +052 /* shift by as many digits in the bit count */ +053 if (b >= (int)DIGIT_BIT) \{ +054 mp_rshd (c, b / DIGIT_BIT); +055 \} +056 +057 /* shift any bit count < DIGIT_BIT */ +058 D = (mp_digit) (b % DIGIT_BIT); +059 if (D != 0) \{ +060 mp_digit *tmpc, mask, shift; +061 +062 /* mask */ +063 mask = (((mp_digit)1) << D) - 1; +064 +065 /* shift for lsb */ +066 shift = DIGIT_BIT - D; +067 +068 /* alias */ +069 tmpc = c->dp + (c->used - 1); +070 +071 /* carry */ +072 r = 0; +073 for (x = c->used - 1; x >= 0; x--) \{ +074 /* get the lower bits of this word in a temp */ +075 rr = *tmpc & mask; +076 +077 /* shift the current word and mix in the carry bits from the previous + word */ +078 *tmpc = (*tmpc >> D) | (r << shift); +079 --tmpc; +080 +081 /* set the carry to the carry bits of the current word found above */ +082 r = rr; +083 \} +084 \} +085 mp_clamp (c); +086 if (d != NULL) \{ +087 mp_exch (&t, d); +088 \} +089 mp_clear (&t); +090 return MP_OKAY; +091 \} +092 #endif +093 \end{alltt} \end{small} -The implementation of algorithm mp\_div\_2d is slightly different than the algorithm specifies. The remainder $d$ may be optionally -ignored by passing \textbf{NULL} as the pointer to the mp\_int variable. The temporary mp\_int variable $t$ is used to hold the +The implementation of algorithm mp\_div\_2d is slightly different than the algorithm specifies. The remainder $d$ may be optionally +ignored by passing \textbf{NULL} as the pointer to the mp\_int variable. The temporary mp\_int variable $t$ is used to hold the result of the remainder operation until the end. This allows $d$ and $a$ to represent the same mp\_int without modifying $a$ before the quotient is obtained. @@ -2395,7 +3385,7 @@ the direction of the shifts. \subsection{Remainder of Division by Power of Two} The last algorithm in the series of polynomial basis power of two algorithms is calculating the remainder of division by $2^b$. This -algorithm benefits from the fact that in twos complement arithmetic $a \mbox{ (mod }2^b\mbox{)}$ is the same as $a$ AND $2^b - 1$. +algorithm benefits from the fact that in twos complement arithmetic $a \mbox{ (mod }2^b\mbox{)}$ is the same as $a$ AND $2^b - 1$. \begin{figure}[!here] \begin{small} @@ -2427,14 +3417,52 @@ algorithm benefits from the fact that in twos complement arithmetic $a \mbox{ (m \end{figure} \textbf{Algorithm mp\_mod\_2d.} -This algorithm will quickly calculate the value of $a \mbox{ (mod }2^b\mbox{)}$. First if $b$ is less than or equal to zero the -result is set to zero. If $b$ is greater than the number of bits in $a$ then it simply copies $a$ to $c$ and returns. Otherwise, $a$ +This algorithm will quickly calculate the value of $a \mbox{ (mod }2^b\mbox{)}$. First if $b$ is less than or equal to zero the +result is set to zero. If $b$ is greater than the number of bits in $a$ then it simply copies $a$ to $c$ and returns. Otherwise, $a$ is copied to $b$, leading digits are removed and the remaining leading digit is trimed to the exact bit count. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_mod\_2d.c \vspace{-3mm} \begin{alltt} +016 +017 /* calc a value mod 2**b */ +018 int +019 mp_mod_2d (mp_int * a, int b, mp_int * c) +020 \{ +021 int x, res; +022 +023 /* if b is <= 0 then zero the int */ +024 if (b <= 0) \{ +025 mp_zero (c); +026 return MP_OKAY; +027 \} +028 +029 /* if the modulus is larger than the value than return */ +030 if (b >= (int) (a->used * DIGIT_BIT)) \{ +031 res = mp_copy (a, c); +032 return res; +033 \} +034 +035 /* copy */ +036 if ((res = mp_copy (a, c)) != MP_OKAY) \{ +037 return res; +038 \} +039 +040 /* zero digits above the last digit of the modulus */ +041 for (x = (b / DIGIT_BIT) + (((b % DIGIT_BIT) == 0) ? 0 : 1); x < c->used; + x++) \{ +042 c->dp[x] = 0; +043 \} +044 /* clear the digit that is not completely outside/inside the modulus */ +045 c->dp[b / DIGIT_BIT] &= +046 (mp_digit) ((((mp_digit) 1) << (((mp_digit) b) % DIGIT_BIT)) - ((mp_digi + t) 1)); +047 mp_clamp (c); +048 return MP_OKAY; +049 \} +050 #endif +051 \end{alltt} \end{small} @@ -2442,9 +3470,9 @@ We first avoid cases of $b \le 0$ by simply mp\_zero()'ing the destination in su than the input we just mp\_copy() the input and return right away. After this point we know we must actually perform some work to produce the remainder. -Recalling that reducing modulo $2^k$ and a binary ``and'' with $2^k - 1$ are numerically equivalent we can quickly reduce -the number. First we zero any digits above the last digit in $2^b$ (line 42). Next we reduce the -leading digit of both (line 46) and then mp\_clamp(). +Recalling that reducing modulo $2^k$ and a binary ``and'' with $2^k - 1$ are numerically equivalent we can quickly reduce +the number. First we zero any digits above the last digit in $2^b$ (line 41). Next we reduce the +leading digit of both (line 45) and then mp\_clamp(). \section*{Exercises} \begin{tabular}{cl} @@ -2477,40 +3505,40 @@ $\left [ 2 \right ] $ & Using only algorithms mp\_abs and mp\_sub devise another \chapter{Multiplication and Squaring} \section{The Multipliers} -For most number theoretic problems including certain public key cryptographic algorithms, the ``multipliers'' form the most important subset of -algorithms of any multiple precision integer package. The set of multiplier algorithms include integer multiplication, squaring and modular reduction -where in each of the algorithms single precision multiplication is the dominant operation performed. This chapter will discuss integer multiplication -and squaring, leaving modular reductions for the subsequent chapter. +For most number theoretic problems including certain public key cryptographic algorithms, the ``multipliers'' form the most important subset of +algorithms of any multiple precision integer package. The set of multiplier algorithms include integer multiplication, squaring and modular reduction +where in each of the algorithms single precision multiplication is the dominant operation performed. This chapter will discuss integer multiplication +and squaring, leaving modular reductions for the subsequent chapter. -The importance of the multiplier algorithms is for the most part driven by the fact that certain popular public key algorithms are based on modular +The importance of the multiplier algorithms is for the most part driven by the fact that certain popular public key algorithms are based on modular exponentiation, that is computing $d \equiv a^b \mbox{ (mod }c\mbox{)}$ for some arbitrary choice of $a$, $b$, $c$ and $d$. During a modular -exponentiation the majority\footnote{Roughly speaking a modular exponentiation will spend about 40\% of the time performing modular reductions, -35\% of the time performing squaring and 25\% of the time performing multiplications.} of the processor time is spent performing single precision +exponentiation the majority\footnote{Roughly speaking a modular exponentiation will spend about 40\% of the time performing modular reductions, +35\% of the time performing squaring and 25\% of the time performing multiplications.} of the processor time is spent performing single precision multiplications. -For centuries general purpose multiplication has required a lengthly $O(n^2)$ process, whereby each digit of one multiplicand has to be multiplied -against every digit of the other multiplicand. Traditional long-hand multiplication is based on this process; while the techniques can differ the -overall algorithm used is essentially the same. Only ``recently'' have faster algorithms been studied. First Karatsuba multiplication was discovered in -1962. This algorithm can multiply two numbers with considerably fewer single precision multiplications when compared to the long-hand approach. -This technique led to the discovery of polynomial basis algorithms (\textit{good reference?}) and subquently Fourier Transform based solutions. +For centuries general purpose multiplication has required a lengthly $O(n^2)$ process, whereby each digit of one multiplicand has to be multiplied +against every digit of the other multiplicand. Traditional long-hand multiplication is based on this process; while the techniques can differ the +overall algorithm used is essentially the same. Only ``recently'' have faster algorithms been studied. First Karatsuba multiplication was discovered in +1962. This algorithm can multiply two numbers with considerably fewer single precision multiplications when compared to the long-hand approach. +This technique led to the discovery of polynomial basis algorithms (\textit{good reference?}) and subquently Fourier Transform based solutions. \section{Multiplication} \subsection{The Baseline Multiplication} \label{sec:basemult} \index{baseline multiplication} Computing the product of two integers in software can be achieved using a trivial adaptation of the standard $O(n^2)$ long-hand multiplication -algorithm that school children are taught. The algorithm is considered an $O(n^2)$ algorithm since for two $n$-digit inputs $n^2$ single precision -multiplications are required. More specifically for a $m$ and $n$ digit input $m \cdot n$ single precision multiplications are required. To -simplify most discussions, it will be assumed that the inputs have comparable number of digits. - -The ``baseline multiplication'' algorithm is designed to act as the ``catch-all'' algorithm, only to be used when the faster algorithms cannot be -used. This algorithm does not use any particularly interesting optimizations and should ideally be avoided if possible. One important -facet of this algorithm, is that it has been modified to only produce a certain amount of output digits as resolution. The importance of this -modification will become evident during the discussion of Barrett modular reduction. Recall that for a $n$ and $m$ digit input the product -will be at most $n + m$ digits. Therefore, this algorithm can be reduced to a full multiplier by having it produce $n + m$ digits of the product. - -Recall from sub-section 4.2.2 the definition of $\gamma$ as the number of bits in the type \textbf{mp\_digit}. We shall now extend the variable set to -include $\alpha$ which shall represent the number of bits in the type \textbf{mp\_word}. This implies that $2^{\alpha} > 2 \cdot \beta^2$. The +algorithm that school children are taught. The algorithm is considered an $O(n^2)$ algorithm since for two $n$-digit inputs $n^2$ single precision +multiplications are required. More specifically for a $m$ and $n$ digit input $m \cdot n$ single precision multiplications are required. To +simplify most discussions, it will be assumed that the inputs have comparable number of digits. + +The ``baseline multiplication'' algorithm is designed to act as the ``catch-all'' algorithm, only to be used when the faster algorithms cannot be +used. This algorithm does not use any particularly interesting optimizations and should ideally be avoided if possible. One important +facet of this algorithm, is that it has been modified to only produce a certain amount of output digits as resolution. The importance of this +modification will become evident during the discussion of Barrett modular reduction. Recall that for a $n$ and $m$ digit input the product +will be at most $n + m$ digits. Therefore, this algorithm can be reduced to a full multiplier by having it produce $n + m$ digits of the product. + +Recall from sub-section 4.2.2 the definition of $\gamma$ as the number of bits in the type \textbf{mp\_digit}. We shall now extend the variable set to +include $\alpha$ which shall represent the number of bits in the type \textbf{mp\_word}. This implies that $2^{\alpha} > 2 \cdot \beta^2$. The constant $\delta = 2^{\alpha - 2lg(\beta)}$ will represent the maximal weight of any column in a product (\textit{see sub-section 5.2.2 for more information}). \newpage\begin{figure}[!here] @@ -2554,20 +3582,20 @@ Compute the product. \\ \textbf{Algorithm s\_mp\_mul\_digs.} This algorithm computes the unsigned product of two inputs $a$ and $b$, limited to an output precision of $digs$ digits. While it may seem -a bit awkward to modify the function from its simple $O(n^2)$ description, the usefulness of partial multipliers will arise in a subsequent -algorithm. The algorithm is loosely based on algorithm 14.12 from \cite[pp. 595]{HAC} and is similar to Algorithm M of Knuth \cite[pp. 268]{TAOCPV2}. -Algorithm s\_mp\_mul\_digs differs from these cited references since it can produce a variable output precision regardless of the precision of the +a bit awkward to modify the function from its simple $O(n^2)$ description, the usefulness of partial multipliers will arise in a subsequent +algorithm. The algorithm is loosely based on algorithm 14.12 from \cite[pp. 595]{HAC} and is similar to Algorithm M of Knuth \cite[pp. 268]{TAOCPV2}. +Algorithm s\_mp\_mul\_digs differs from these cited references since it can produce a variable output precision regardless of the precision of the inputs. The first thing this algorithm checks for is whether a Comba multiplier can be used instead. If the minimum digit count of either -input is less than $\delta$, then the Comba method may be used instead. After the Comba method is ruled out, the baseline algorithm begins. A -temporary mp\_int variable $t$ is used to hold the intermediate result of the product. This allows the algorithm to be used to -compute products when either $a = c$ or $b = c$ without overwriting the inputs. +input is less than $\delta$, then the Comba method may be used instead. After the Comba method is ruled out, the baseline algorithm begins. A +temporary mp\_int variable $t$ is used to hold the intermediate result of the product. This allows the algorithm to be used to +compute products when either $a = c$ or $b = c$ without overwriting the inputs. All of step 5 is the infamous $O(n^2)$ multiplication loop slightly modified to only produce upto $digs$ digits of output. The $pb$ variable is given the count of digits to read from $b$ inside the nested loop. If $pb \le 1$ then no more output digits can be produced and the algorithm -will exit the loop. The best way to think of the loops are as a series of $pb \times 1$ multiplications. That is, in each pass of the -innermost loop $a_{ix}$ is multiplied against $b$ and the result is added (\textit{with an appropriate shift}) to $t$. +will exit the loop. The best way to think of the loops are as a series of $pb \times 1$ multiplications. That is, in each pass of the +innermost loop $a_{ix}$ is multiplied against $b$ and the result is added (\textit{with an appropriate shift}) to $t$. For example, consider multiplying $576$ by $241$. That is equivalent to computing $10^0(1)(576) + 10^1(4)(576) + 10^2(2)(576)$ which is best visualized in the following table. @@ -2581,20 +3609,20 @@ visualized in the following table. && & 5 & 7 & 6 & $10^0(1)(576)$ \\ &2 & 3 & 6 & 1 & 6 & $10^1(4)(576) + 10^0(1)(576)$ \\ 1 & 3 & 8 & 8 & 1 & 6 & $10^2(2)(576) + 10^1(4)(576) + 10^0(1)(576)$ \\ -\hline +\hline \end{tabular} \end{center} \caption{Long-Hand Multiplication Diagram} \end{figure} -Each row of the product is added to the result after being shifted to the left (\textit{multiplied by a power of the radix}) by the appropriate +Each row of the product is added to the result after being shifted to the left (\textit{multiplied by a power of the radix}) by the appropriate count. That is in pass $ix$ of the inner loop the product is added starting at the $ix$'th digit of the reult. Step 5.4.1 introduces the hat symbol (\textit{e.g. $\hat r$}) which represents a double precision variable. The multiplication on that step is assumed to be a double wide output single precision multiplication. That is, two single precision variables are multiplied to produce a double precision result. The step is somewhat optimized from a long-hand multiplication algorithm because the carry from the addition in step -5.4.1 is propagated through the nested loop. If the carry was not propagated immediately it would overflow the single precision digit -$t_{ix+iy}$ and the result would be lost. +5.4.1 is propagated through the nested loop. If the carry was not propagated immediately it would overflow the single precision digit +$t_{ix+iy}$ and the result would be lost. At step 5.5 the nested loop is finished and any carry that was left over should be forwarded. The carry does not have to be added to the $ix+pb$'th digit since that digit is assumed to be zero at this point. However, if $ix + pb \ge digs$ the carry is not set as it would make the result @@ -2604,55 +3632,126 @@ exceed the precision requested. \hspace{-5.1mm}{\bf File}: bn\_s\_mp\_mul\_digs.c \vspace{-3mm} \begin{alltt} +016 +017 /* multiplies |a| * |b| and only computes upto digs digits of result +018 * HAC pp. 595, Algorithm 14.12 Modified so you can control how +019 * many digits of output are created. +020 */ +021 int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) +022 \{ +023 mp_int t; +024 int res, pa, pb, ix, iy; +025 mp_digit u; +026 mp_word r; +027 mp_digit tmpx, *tmpt, *tmpy; +028 +029 /* can we use the fast multiplier? */ +030 if (((digs) < MP_WARRAY) && +031 (MIN (a->used, b->used) < +032 (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) \{ +033 return fast_s_mp_mul_digs (a, b, c, digs); +034 \} +035 +036 if ((res = mp_init_size (&t, digs)) != MP_OKAY) \{ +037 return res; +038 \} +039 t.used = digs; +040 +041 /* compute the digits of the product directly */ +042 pa = a->used; +043 for (ix = 0; ix < pa; ix++) \{ +044 /* set the carry to zero */ +045 u = 0; +046 +047 /* limit ourselves to making digs digits of output */ +048 pb = MIN (b->used, digs - ix); +049 +050 /* setup some aliases */ +051 /* copy of the digit from a used within the nested loop */ +052 tmpx = a->dp[ix]; +053 +054 /* an alias for the destination shifted ix places */ +055 tmpt = t.dp + ix; +056 +057 /* an alias for the digits of b */ +058 tmpy = b->dp; +059 +060 /* compute the columns of the output and propagate the carry */ +061 for (iy = 0; iy < pb; iy++) \{ +062 /* compute the column as a mp_word */ +063 r = (mp_word)*tmpt + +064 ((mp_word)tmpx * (mp_word)*tmpy++) + +065 (mp_word)u; +066 +067 /* the new column is the lower part of the result */ +068 *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); +069 +070 /* get the carry word from the result */ +071 u = (mp_digit) (r >> ((mp_word) DIGIT_BIT)); +072 \} +073 /* set carry if it is placed below digs */ +074 if ((ix + iy) < digs) \{ +075 *tmpt = u; +076 \} +077 \} +078 +079 mp_clamp (&t); +080 mp_exch (&t, c); +081 +082 mp_clear (&t); +083 return MP_OKAY; +084 \} +085 #endif +086 \end{alltt} \end{small} -First we determine (line 31) if the Comba method can be used first since it's faster. The conditions for -sing the Comba routine are that min$(a.used, b.used) < \delta$ and the number of digits of output is less than -\textbf{MP\_WARRAY}. This new constant is used to control the stack usage in the Comba routines. By default it is +First we determine (line 30) if the Comba method can be used first since it's faster. The conditions for +sing the Comba routine are that min$(a.used, b.used) < \delta$ and the number of digits of output is less than +\textbf{MP\_WARRAY}. This new constant is used to control the stack usage in the Comba routines. By default it is set to $\delta$ but can be reduced when memory is at a premium. If we cannot use the Comba method we proceed to setup the baseline routine. We allocate the the destination mp\_int -$t$ (line 37) to the exact size of the output to avoid further re--allocations. At this point we now +$t$ (line 36) to the exact size of the output to avoid further re--allocations. At this point we now begin the $O(n^2)$ loop. This implementation of multiplication has the caveat that it can be trimmed to only produce a variable number of -digits as output. In each iteration of the outer loop the $pb$ variable is set (line 49) to the maximum -number of inner loop iterations. +digits as output. In each iteration of the outer loop the $pb$ variable is set (line 48) to the maximum +number of inner loop iterations. Inside the inner loop we calculate $\hat r$ as the mp\_word product of the two mp\_digits and the addition of the -carry from the previous iteration. A particularly important observation is that most modern optimizing -C compilers (GCC for instance) can recognize that a $N \times N \rightarrow 2N$ multiplication is all that +carry from the previous iteration. A particularly important observation is that most modern optimizing +C compilers (GCC for instance) can recognize that a $N \times N \rightarrow 2N$ multiplication is all that is required for the product. In x86 terms for example, this means using the MUL instruction. -Each digit of the product is stored in turn (line 69) and the carry propagated (line 72) to the +Each digit of the product is stored in turn (line 68) and the carry propagated (line 71) to the next iteration. \subsection{Faster Multiplication by the ``Comba'' Method} -One of the huge drawbacks of the ``baseline'' algorithms is that at the $O(n^2)$ level the carry must be -computed and propagated upwards. This makes the nested loop very sequential and hard to unroll and implement -in parallel. The ``Comba'' \cite{COMBA} method is named after little known (\textit{in cryptographic venues}) Paul G. -Comba who described a method of implementing fast multipliers that do not require nested carry fixup operations. As an -interesting aside it seems that Paul Barrett describes a similar technique in his 1986 paper \cite{BARRETT} written +One of the huge drawbacks of the ``baseline'' algorithms is that at the $O(n^2)$ level the carry must be +computed and propagated upwards. This makes the nested loop very sequential and hard to unroll and implement +in parallel. The ``Comba'' \cite{COMBA} method is named after little known (\textit{in cryptographic venues}) Paul G. +Comba who described a method of implementing fast multipliers that do not require nested carry fixup operations. As an +interesting aside it seems that Paul Barrett describes a similar technique in his 1986 paper \cite{BARRETT} written five years before. -At the heart of the Comba technique is once again the long-hand algorithm. Except in this case a slight -twist is placed on how the columns of the result are produced. In the standard long-hand algorithm rows of products -are produced then added together to form the final result. In the baseline algorithm the columns are added together -after each iteration to get the result instantaneously. +At the heart of the Comba technique is once again the long-hand algorithm. Except in this case a slight +twist is placed on how the columns of the result are produced. In the standard long-hand algorithm rows of products +are produced then added together to form the final result. In the baseline algorithm the columns are added together +after each iteration to get the result instantaneously. -In the Comba algorithm the columns of the result are produced entirely independently of each other. That is at -the $O(n^2)$ level a simple multiplication and addition step is performed. The carries of the columns are propagated -after the nested loop to reduce the amount of work requiored. Succintly the first step of the algorithm is to compute -the product vector $\vec x$ as follows. +In the Comba algorithm the columns of the result are produced entirely independently of each other. That is at +the $O(n^2)$ level a simple multiplication and addition step is performed. The carries of the columns are propagated +after the nested loop to reduce the amount of work requiored. Succintly the first step of the algorithm is to compute +the product vector $\vec x$ as follows. \begin{equation} \vec x_n = \sum_{i+j = n} a_ib_j, \forall n \in \lbrace 0, 1, 2, \ldots, i + j \rbrace \end{equation} Where $\vec x_n$ is the $n'th$ column of the output vector. Consider the following example which computes the vector $\vec x$ for the multiplication -of $576$ and $241$. +of $576$ and $241$. \newpage\begin{figure}[here] \begin{small} @@ -2663,15 +3762,15 @@ of $576$ and $241$. \hline & & $1 \cdot 5 = 5$ & $1 \cdot 7 = 7$ & $1 \cdot 6 = 6$ & First pass \\ & $4 \cdot 5 = 20$ & $4 \cdot 7+5=33$ & $4 \cdot 6+7=31$ & 6 & Second pass \\ $2 \cdot 5 = 10$ & $2 \cdot 7 + 20 = 34$ & $2 \cdot 6+33=45$ & 31 & 6 & Third pass \\ -\hline 10 & 34 & 45 & 31 & 6 & Final Result \\ -\hline +\hline 10 & 34 & 45 & 31 & 6 & Final Result \\ +\hline \end{tabular} \end{center} \end{small} \caption{Comba Multiplication Diagram} \end{figure} -At this point the vector $x = \left < 10, 34, 45, 31, 6 \right >$ is the result of the first step of the Comba multipler. +At this point the vector $x = \left < 10, 34, 45, 31, 6 \right >$ is the result of the first step of the Comba multipler. Now the columns must be fixed by propagating the carry upwards. The resultant vector will have one extra dimension over the input vector which is congruent to adding a leading zero digit. @@ -2694,16 +3793,16 @@ congruent to adding a leading zero digit. \caption{Algorithm Comba Fixup} \end{figure} -With that algorithm and $k = 5$ and $\beta = 10$ the following vector is produced $\vec x= \left < 1, 3, 8, 8, 1, 6 \right >$. In this case +With that algorithm and $k = 5$ and $\beta = 10$ the following vector is produced $\vec x= \left < 1, 3, 8, 8, 1, 6 \right >$. In this case $241 \cdot 576$ is in fact $138816$ and the procedure succeeded. If the algorithm is correct and as will be demonstrated shortly more efficient than the baseline algorithm why not simply always use this algorithm? \subsubsection{Column Weight.} -At the nested $O(n^2)$ level the Comba method adds the product of two single precision variables to each column of the output +At the nested $O(n^2)$ level the Comba method adds the product of two single precision variables to each column of the output independently. A serious obstacle is if the carry is lost, due to lack of precision before the algorithm has a chance to fix the carries. For example, in the multiplication of two three-digit numbers the third column of output will be the sum of three single precision multiplications. If the precision of the accumulator for the output digits is less then $3 \cdot (\beta - 1)^2$ then -an overflow can occur and the carry information will be lost. For any $m$ and $n$ digit inputs the maximum weight of any column is +an overflow can occur and the carry information will be lost. For any $m$ and $n$ digit inputs the maximum weight of any column is min$(m, n)$ which is fairly obvious. The maximum number of terms in any column of a product is known as the ``column weight'' and strictly governs when the algorithm can be used. Recall @@ -2714,7 +3813,7 @@ two quantities we must not violate the following k \cdot \left (\beta - 1 \right )^2 < 2^{\alpha} \end{equation} -Which reduces to +Which reduces to \begin{equation} k \cdot \left ( \beta^2 - 2\beta + 1 \right ) < 2^{\alpha} @@ -2727,9 +3826,9 @@ found. k < {{2^{\alpha}} \over {\left (2^{2\rho} - 2^{\rho + 1} + 1 \right )}} \end{equation} -The defaults for LibTomMath are $\beta = 2^{28}$ and $\alpha = 2^{64}$ which means that $k$ is bounded by $k < 257$. In this configuration -the smaller input may not have more than $256$ digits if the Comba method is to be used. This is quite satisfactory for most applications since -$256$ digits would allow for numbers in the range of $0 \le x < 2^{7168}$ which, is much larger than most public key cryptographic algorithms require. +The defaults for LibTomMath are $\beta = 2^{28}$ and $\alpha = 2^{64}$ which means that $k$ is bounded by $k < 257$. In this configuration +the smaller input may not have more than $256$ digits if the Comba method is to be used. This is quite satisfactory for most applications since +$256$ digits would allow for numbers in the range of $0 \le x < 2^{7168}$ which, is much larger than most public key cryptographic algorithms require. \newpage\begin{figure}[!here] \begin{small} @@ -2775,79 +3874,167 @@ Place an array of \textbf{MP\_WARRAY} single precision digits named $W$ on the s \textbf{Algorithm fast\_s\_mp\_mul\_digs.} This algorithm performs the unsigned multiplication of $a$ and $b$ using the Comba method limited to $digs$ digits of precision. -The outer loop of this algorithm is more complicated than that of the baseline multiplier. This is because on the inside of the +The outer loop of this algorithm is more complicated than that of the baseline multiplier. This is because on the inside of the loop we want to produce one column per pass. This allows the accumulator $\_ \hat W$ to be placed in CPU registers and reduce the memory bandwidth to two \textbf{mp\_digit} reads per iteration. The $ty$ variable is set to the minimum count of $ix$ or the number of digits in $b$. That way if $a$ has more digits than $b$ this will be limited to $b.used - 1$. The $tx$ variable is set to the to the distance past $b.used$ the variable -$ix$ is. This is used for the immediately subsequent statement where we find $iy$. +$ix$ is. This is used for the immediately subsequent statement where we find $iy$. The variable $iy$ is the minimum digits we can read from either $a$ or $b$ before running out. Computing one column at a time means we have to scan one integer upwards and the other downwards. $a$ starts at $tx$ and $b$ starts at $ty$. In each -pass we are producing the $ix$'th output column and we note that $tx + ty = ix$. As we move $tx$ upwards we have to -move $ty$ downards so the equality remains valid. The $iy$ variable is the number of iterations until +pass we are producing the $ix$'th output column and we note that $tx + ty = ix$. As we move $tx$ upwards we have to +move $ty$ downards so the equality remains valid. The $iy$ variable is the number of iterations until $tx \ge a.used$ or $ty < 0$ occurs. After every inner pass we store the lower half of the accumulator into $W_{ix}$ and then propagate the carry of the accumulator into the next round by dividing $\_ \hat W$ by $\beta$. -To measure the benefits of the Comba method over the baseline method consider the number of operations that are required. If the -cost in terms of time of a multiply and addition is $p$ and the cost of a carry propagation is $q$ then a baseline multiplication would require -$O \left ((p + q)n^2 \right )$ time to multiply two $n$-digit numbers. The Comba method requires only $O(pn^2 + qn)$ time, however in practice, +To measure the benefits of the Comba method over the baseline method consider the number of operations that are required. If the +cost in terms of time of a multiply and addition is $p$ and the cost of a carry propagation is $q$ then a baseline multiplication would require +$O \left ((p + q)n^2 \right )$ time to multiply two $n$-digit numbers. The Comba method requires only $O(pn^2 + qn)$ time, however in practice, the speed increase is actually much more. With $O(n)$ space the algorithm can be reduced to $O(pn + qn)$ time by implementing the $n$ multiply -and addition operations in the nested loop in parallel. +and addition operations in the nested loop in parallel. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_fast\_s\_mp\_mul\_digs.c \vspace{-3mm} \begin{alltt} +016 +017 /* Fast (comba) multiplier +018 * +019 * This is the fast column-array [comba] multiplier. It is +020 * designed to compute the columns of the product first +021 * then handle the carries afterwards. This has the effect +022 * of making the nested loops that compute the columns very +023 * simple and schedulable on super-scalar processors. +024 * +025 * This has been modified to produce a variable number of +026 * digits of output so if say only a half-product is required +027 * you don't have to compute the upper half (a feature +028 * required for fast Barrett reduction). +029 * +030 * Based on Algorithm 14.12 on pp.595 of HAC. +031 * +032 */ +033 int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) +034 \{ +035 int olduse, res, pa, ix, iz; +036 mp_digit W[MP_WARRAY]; +037 mp_word _W; +038 +039 /* grow the destination as required */ +040 if (c->alloc < digs) \{ +041 if ((res = mp_grow (c, digs)) != MP_OKAY) \{ +042 return res; +043 \} +044 \} +045 +046 /* number of output digits to produce */ +047 pa = MIN(digs, a->used + b->used); +048 +049 /* clear the carry */ +050 _W = 0; +051 for (ix = 0; ix < pa; ix++) \{ +052 int tx, ty; +053 int iy; +054 mp_digit *tmpx, *tmpy; +055 +056 /* get offsets into the two bignums */ +057 ty = MIN(b->used-1, ix); +058 tx = ix - ty; +059 +060 /* setup temp aliases */ +061 tmpx = a->dp + tx; +062 tmpy = b->dp + ty; +063 +064 /* this is the number of times the loop will iterrate, essentially +065 while (tx++ < a->used && ty-- >= 0) \{ ... \} +066 */ +067 iy = MIN(a->used-tx, ty+1); +068 +069 /* execute loop */ +070 for (iz = 0; iz < iy; ++iz) \{ +071 _W += ((mp_word)*tmpx++)*((mp_word)*tmpy--); +072 +073 \} +074 +075 /* store term */ +076 W[ix] = ((mp_digit)_W) & MP_MASK; +077 +078 /* make next carry */ +079 _W = _W >> ((mp_word)DIGIT_BIT); +080 \} +081 +082 /* setup dest */ +083 olduse = c->used; +084 c->used = pa; +085 +086 \{ +087 mp_digit *tmpc; +088 tmpc = c->dp; +089 for (ix = 0; ix < (pa + 1); ix++) \{ +090 /* now extract the previous digit [below the carry] */ +091 *tmpc++ = W[ix]; +092 \} +093 +094 /* clear unused digits [that existed in the old copy of c] */ +095 for (; ix < olduse; ix++) \{ +096 *tmpc++ = 0; +097 \} +098 \} +099 mp_clamp (c); +100 return MP_OKAY; +101 \} +102 #endif +103 \end{alltt} \end{small} -As per the pseudo--code we first calculate $pa$ (line 48) as the number of digits to output. Next we begin the outer loop -to produce the individual columns of the product. We use the two aliases $tmpx$ and $tmpy$ (lines 62, 63) to point -inside the two multiplicands quickly. +As per the pseudo--code we first calculate $pa$ (line 47) as the number of digits to output. Next we begin the outer loop +to produce the individual columns of the product. We use the two aliases $tmpx$ and $tmpy$ (lines 61, 62) to point +inside the two multiplicands quickly. -The inner loop (lines 71 to 74) of this implementation is where the tradeoff come into play. Originally this comba -implementation was ``row--major'' which means it adds to each of the columns in each pass. After the outer loop it would then fix -the carries. This was very fast except it had an annoying drawback. You had to read a mp\_word and two mp\_digits and write -one mp\_word per iteration. On processors such as the Athlon XP and P4 this did not matter much since the cache bandwidth -is very high and it can keep the ALU fed with data. It did, however, matter on older and embedded cpus where cache is often -slower and also often doesn't exist. This new algorithm only performs two reads per iteration under the assumption that the +The inner loop (lines 70 to 73) of this implementation is where the tradeoff come into play. Originally this comba +implementation was ``row--major'' which means it adds to each of the columns in each pass. After the outer loop it would then fix +the carries. This was very fast except it had an annoying drawback. You had to read a mp\_word and two mp\_digits and write +one mp\_word per iteration. On processors such as the Athlon XP and P4 this did not matter much since the cache bandwidth +is very high and it can keep the ALU fed with data. It did, however, matter on older and embedded cpus where cache is often +slower and also often doesn't exist. This new algorithm only performs two reads per iteration under the assumption that the compiler has aliased $\_ \hat W$ to a CPU register. -After the inner loop we store the current accumulator in $W$ and shift $\_ \hat W$ (lines 77, 80) to forward it as -a carry for the next pass. After the outer loop we use the final carry (line 77) as the last digit of the product. +After the inner loop we store the current accumulator in $W$ and shift $\_ \hat W$ (lines 76, 79) to forward it as +a carry for the next pass. After the outer loop we use the final carry (line 76) as the last digit of the product. \subsection{Polynomial Basis Multiplication} To break the $O(n^2)$ barrier in multiplication requires a completely different look at integer multiplication. In the following algorithms -the use of polynomial basis representation for two integers $a$ and $b$ as $f(x) = \sum_{i=0}^{n} a_i x^i$ and +the use of polynomial basis representation for two integers $a$ and $b$ as $f(x) = \sum_{i=0}^{n} a_i x^i$ and $g(x) = \sum_{i=0}^{n} b_i x^i$ respectively, is required. In this system both $f(x)$ and $g(x)$ have $n + 1$ terms and are of the $n$'th degree. - + The product $a \cdot b \equiv f(x)g(x)$ is the polynomial $W(x) = \sum_{i=0}^{2n} w_i x^i$. The coefficients $w_i$ will directly yield the desired product when $\beta$ is substituted for $x$. The direct solution to solve for the $2n + 1$ coefficients requires $O(n^2)$ time and would in practice be slower than the Comba technique. -However, numerical analysis theory indicates that only $2n + 1$ distinct points in $W(x)$ are required to determine the values of the $2n + 1$ unknown -coefficients. This means by finding $\zeta_y = W(y)$ for $2n + 1$ small values of $y$ the coefficients of $W(x)$ can be found with -Gaussian elimination. This technique is also occasionally refered to as the \textit{interpolation technique} (\textit{references please...}) since in -effect an interpolation based on $2n + 1$ points will yield a polynomial equivalent to $W(x)$. +However, numerical analysis theory indicates that only $2n + 1$ distinct points in $W(x)$ are required to determine the values of the $2n + 1$ unknown +coefficients. This means by finding $\zeta_y = W(y)$ for $2n + 1$ small values of $y$ the coefficients of $W(x)$ can be found with +Gaussian elimination. This technique is also occasionally refered to as the \textit{interpolation technique} (\textit{references please...}) since in +effect an interpolation based on $2n + 1$ points will yield a polynomial equivalent to $W(x)$. -The coefficients of the polynomial $W(x)$ are unknown which makes finding $W(y)$ for any value of $y$ impossible. However, since -$W(x) = f(x)g(x)$ the equivalent $\zeta_y = f(y) g(y)$ can be used in its place. The benefit of this technique stems from the -fact that $f(y)$ and $g(y)$ are much smaller than either $a$ or $b$ respectively. As a result finding the $2n + 1$ relations required +The coefficients of the polynomial $W(x)$ are unknown which makes finding $W(y)$ for any value of $y$ impossible. However, since +$W(x) = f(x)g(x)$ the equivalent $\zeta_y = f(y) g(y)$ can be used in its place. The benefit of this technique stems from the +fact that $f(y)$ and $g(y)$ are much smaller than either $a$ or $b$ respectively. As a result finding the $2n + 1$ relations required by multiplying $f(y)g(y)$ involves multiplying integers that are much smaller than either of the inputs. When picking points to gather relations there are always three obvious points to choose, $y = 0, 1$ and $ \infty$. The $\zeta_0$ term -is simply the product $W(0) = w_0 = a_0 \cdot b_0$. The $\zeta_1$ term is the product +is simply the product $W(0) = w_0 = a_0 \cdot b_0$. The $\zeta_1$ term is the product $W(1) = \left (\sum_{i = 0}^{n} a_i \right ) \left (\sum_{i = 0}^{n} b_i \right )$. The third point $\zeta_{\infty}$ is less obvious but rather -simple to explain. The $2n + 1$'th coefficient of $W(x)$ is numerically equivalent to the most significant column in an integer multiplication. -The point at $\infty$ is used symbolically to represent the most significant column, that is $W(\infty) = w_{2n} = a_nb_n$. Note that the +simple to explain. The $2n + 1$'th coefficient of $W(x)$ is numerically equivalent to the most significant column in an integer multiplication. +The point at $\infty$ is used symbolically to represent the most significant column, that is $W(\infty) = w_{2n} = a_nb_n$. Note that the points at $y = 0$ and $\infty$ yield the coefficients $w_0$ and $w_{2n}$ directly. -If more points are required they should be of small values and powers of two such as $2^q$ and the related \textit{mirror points} -$\left (2^q \right )^{2n} \cdot \zeta_{2^{-q}}$ for small values of $q$. The term ``mirror point'' stems from the fact that +If more points are required they should be of small values and powers of two such as $2^q$ and the related \textit{mirror points} +$\left (2^q \right )^{2n} \cdot \zeta_{2^{-q}}$ for small values of $q$. The term ``mirror point'' stems from the fact that $\left (2^q \right )^{2n} \cdot \zeta_{2^{-q}}$ can be calculated in the exact opposite fashion as $\zeta_{2^q}$. For example, when $n = 2$ and $q = 1$ then following two equations are equivalent to the point $\zeta_{2}$ and its mirror. @@ -2857,10 +4044,10 @@ example, when $n = 2$ and $q = 1$ then following two equations are equivalent to \end{eqnarray} Using such points will allow the values of $f(y)$ and $g(y)$ to be independently calculated using only left shifts. For example, when $n = 2$ the -polynomial $f(2^q)$ is equal to $2^q((2^qa_2) + a_1) + a_0$. This technique of polynomial representation is known as Horner's method. +polynomial $f(2^q)$ is equal to $2^q((2^qa_2) + a_1) + a_0$. This technique of polynomial representation is known as Horner's method. -As a general rule of the algorithm when the inputs are split into $n$ parts each there are $2n - 1$ multiplications. Each multiplication is of -multiplicands that have $n$ times fewer digits than the inputs. The asymptotic running time of this algorithm is +As a general rule of the algorithm when the inputs are split into $n$ parts each there are $2n - 1$ multiplications. Each multiplication is of +multiplicands that have $n$ times fewer digits than the inputs. The asymptotic running time of this algorithm is $O \left ( k^{lg_n(2n - 1)} \right )$ for $k$ digit inputs (\textit{assuming they have the same number of digits}). Figure~\ref{fig:exponent} summarizes the exponents for various values of $n$. @@ -2885,23 +4072,23 @@ summarizes the exponents for various values of $n$. At first it may seem like a good idea to choose $n = 1000$ since the exponent is approximately $1.1$. However, the overhead of solving for the 2001 terms of $W(x)$ will certainly consume any savings the algorithm could offer for all but exceedingly large -numbers. +numbers. \subsubsection{Cutoff Point} -The polynomial basis multiplication algorithms all require fewer single precision multiplications than a straight Comba approach. However, +The polynomial basis multiplication algorithms all require fewer single precision multiplications than a straight Comba approach. However, the algorithms incur an overhead (\textit{at the $O(n)$ work level}) since they require a system of equations to be solved. This makes the polynomial basis approach more costly to use with small inputs. -Let $m$ represent the number of digits in the multiplicands (\textit{assume both multiplicands have the same number of digits}). There exists a -point $y$ such that when $m < y$ the polynomial basis algorithms are more costly than Comba, when $m = y$ they are roughly the same cost and -when $m > y$ the Comba methods are slower than the polynomial basis algorithms. +Let $m$ represent the number of digits in the multiplicands (\textit{assume both multiplicands have the same number of digits}). There exists a +point $y$ such that when $m < y$ the polynomial basis algorithms are more costly than Comba, when $m = y$ they are roughly the same cost and +when $m > y$ the Comba methods are slower than the polynomial basis algorithms. The exact location of $y$ depends on several key architectural elements of the computer platform in question. \begin{enumerate} \item The ratio of clock cycles for single precision multiplication versus other simpler operations such as addition, shifting, etc. For example on the AMD Athlon the ratio is roughly $17 : 1$ while on the Intel P4 it is $29 : 1$. The higher the ratio in favour of multiplication the lower -the cutoff point $y$ will be. +the cutoff point $y$ will be. \item The complexity of the linear system of equations (\textit{for the coefficients of $W(x)$}) is. Generally speaking as the number of splits grows the complexity grows substantially. Ideally solving the system will only involve addition, subtraction and shifting of integers. This @@ -2914,11 +4101,11 @@ influence over the cutoff point. A clean cutoff point separation occurs when a point $y$ is found such that all of the cutoff point conditions are met. For example, if the point is too low then there will be values of $m$ such that $m > y$ and the Comba method is still faster. Finding the cutoff points is fairly simple when -a high resolution timer is available. +a high resolution timer is available. \subsection{Karatsuba Multiplication} Karatsuba \cite{KARA} multiplication when originally proposed in 1962 was among the first set of algorithms to break the $O(n^2)$ barrier for -general purpose multiplication. Given two polynomial basis representations $f(x) = ax + b$ and $g(x) = cx + d$, Karatsuba proved with +general purpose multiplication. Given two polynomial basis representations $f(x) = ax + b$ and $g(x) = cx + d$, Karatsuba proved with light algebra \cite{KARAP} that the following polynomial is equivalent to multiplication of the two integers the polynomials represent. \begin{equation} @@ -2926,8 +4113,8 @@ f(x) \cdot g(x) = acx^2 + ((a + b)(c + d) - (ac + bd))x + bd \end{equation} Using the observation that $ac$ and $bd$ could be re-used only three half sized multiplications would be required to produce the product. Applying -this algorithm recursively, the work factor becomes $O(n^{lg(3)})$ which is substantially better than the work factor $O(n^2)$ of the Comba technique. It turns -out what Karatsuba did not know or at least did not publish was that this is simply polynomial basis multiplication with the points +this algorithm recursively, the work factor becomes $O(n^{lg(3)})$ which is substantially better than the work factor $O(n^2)$ of the Comba technique. It turns +out what Karatsuba did not know or at least did not publish was that this is simply polynomial basis multiplication with the points $\zeta_0$, $\zeta_{\infty}$ and $\zeta_{1}$. Consider the resultant system of equations. \begin{center} @@ -2940,7 +4127,7 @@ $\zeta_{\infty}$ & $=$ & $w_2$ & & & & \\ By adding the first and last equation to the equation in the middle the term $w_1$ can be isolated and all three coefficients solved for. The simplicity of this system of equations has made Karatsuba fairly popular. In fact the cutoff point is often fairly low\footnote{With LibTomMath 0.18 it is 70 and 109 digits for the Intel P4 and AMD Athlon respectively.} -making it an ideal algorithm to speed up certain public key cryptosystems such as RSA and Diffie-Hellman. +making it an ideal algorithm to speed up certain public key cryptosystems such as RSA and Diffie-Hellman. \newpage\begin{figure}[!here] \begin{small} @@ -2978,7 +4165,7 @@ Calculate the final product. \\ 18. $c \leftarrow t1 + x1y1$ \\ 19. Clear all of the temporary variables. \\ 20. Return(\textit{MP\_OKAY}).\\ -\hline +\hline \end{tabular} \end{center} \end{small} @@ -2987,13 +4174,13 @@ Calculate the final product. \\ \textbf{Algorithm mp\_karatsuba\_mul.} This algorithm computes the unsigned product of two inputs using the Karatsuba multiplication algorithm. It is loosely based on the description -from Knuth \cite[pp. 294-295]{TAOCPV2}. +from Knuth \cite[pp. 294-295]{TAOCPV2}. \index{radix point} In order to split the two inputs into their respective halves, a suitable \textit{radix point} must be chosen. The radix point chosen must -be used for both of the inputs meaning that it must be smaller than the smallest input. Step 3 chooses the radix point $B$ as half of the -smallest input \textbf{used} count. After the radix point is chosen the inputs are split into lower and upper halves. Step 4 and 5 -compute the lower halves. Step 6 and 7 computer the upper halves. +be used for both of the inputs meaning that it must be smaller than the smallest input. Step 3 chooses the radix point $B$ as half of the +smallest input \textbf{used} count. After the radix point is chosen the inputs are split into lower and upper halves. Step 4 and 5 +compute the lower halves. Step 6 and 7 computer the upper halves. After the halves have been computed the three intermediate half-size products must be computed. Step 8 and 9 compute the trivial products $x0 \cdot y0$ and $x1 \cdot y1$. The mp\_int $x0$ is used as a temporary variable after $x1 + x0$ has been computed. By using $x0$ instead @@ -3005,34 +4192,182 @@ The remaining steps 13 through 18 compute the Karatsuba polynomial through a var \hspace{-5.1mm}{\bf File}: bn\_mp\_karatsuba\_mul.c \vspace{-3mm} \begin{alltt} +016 +017 /* c = |a| * |b| using Karatsuba Multiplication using +018 * three half size multiplications +019 * +020 * Let B represent the radix [e.g. 2**DIGIT_BIT] and +021 * let n represent half of the number of digits in +022 * the min(a,b) +023 * +024 * a = a1 * B**n + a0 +025 * b = b1 * B**n + b0 +026 * +027 * Then, a * b => +028 a1b1 * B**2n + ((a1 + a0)(b1 + b0) - (a0b0 + a1b1)) * B + a0b0 +029 * +030 * Note that a1b1 and a0b0 are used twice and only need to be +031 * computed once. So in total three half size (half # of +032 * digit) multiplications are performed, a0b0, a1b1 and +033 * (a1+b1)(a0+b0) +034 * +035 * Note that a multiplication of half the digits requires +036 * 1/4th the number of single precision multiplications so in +037 * total after one call 25% of the single precision multiplications +038 * are saved. Note also that the call to mp_mul can end up back +039 * in this function if the a0, a1, b0, or b1 are above the threshold. +040 * This is known as divide-and-conquer and leads to the famous +041 * O(N**lg(3)) or O(N**1.584) work which is asymptopically lower than +042 * the standard O(N**2) that the baseline/comba methods use. +043 * Generally though the overhead of this method doesn't pay off +044 * until a certain size (N ~ 80) is reached. +045 */ +046 int mp_karatsuba_mul (mp_int * a, mp_int * b, mp_int * c) +047 \{ +048 mp_int x0, x1, y0, y1, t1, x0y0, x1y1; +049 int B, err; +050 +051 /* default the return code to an error */ +052 err = MP_MEM; +053 +054 /* min # of digits */ +055 B = MIN (a->used, b->used); +056 +057 /* now divide in two */ +058 B = B >> 1; +059 +060 /* init copy all the temps */ +061 if (mp_init_size (&x0, B) != MP_OKAY) +062 goto ERR; +063 if (mp_init_size (&x1, a->used - B) != MP_OKAY) +064 goto X0; +065 if (mp_init_size (&y0, B) != MP_OKAY) +066 goto X1; +067 if (mp_init_size (&y1, b->used - B) != MP_OKAY) +068 goto Y0; +069 +070 /* init temps */ +071 if (mp_init_size (&t1, B * 2) != MP_OKAY) +072 goto Y1; +073 if (mp_init_size (&x0y0, B * 2) != MP_OKAY) +074 goto T1; +075 if (mp_init_size (&x1y1, B * 2) != MP_OKAY) +076 goto X0Y0; +077 +078 /* now shift the digits */ +079 x0.used = y0.used = B; +080 x1.used = a->used - B; +081 y1.used = b->used - B; +082 +083 \{ +084 int x; +085 mp_digit *tmpa, *tmpb, *tmpx, *tmpy; +086 +087 /* we copy the digits directly instead of using higher level functions +088 * since we also need to shift the digits +089 */ +090 tmpa = a->dp; +091 tmpb = b->dp; +092 +093 tmpx = x0.dp; +094 tmpy = y0.dp; +095 for (x = 0; x < B; x++) \{ +096 *tmpx++ = *tmpa++; +097 *tmpy++ = *tmpb++; +098 \} +099 +100 tmpx = x1.dp; +101 for (x = B; x < a->used; x++) \{ +102 *tmpx++ = *tmpa++; +103 \} +104 +105 tmpy = y1.dp; +106 for (x = B; x < b->used; x++) \{ +107 *tmpy++ = *tmpb++; +108 \} +109 \} +110 +111 /* only need to clamp the lower words since by definition the +112 * upper words x1/y1 must have a known number of digits +113 */ +114 mp_clamp (&x0); +115 mp_clamp (&y0); +116 +117 /* now calc the products x0y0 and x1y1 */ +118 /* after this x0 is no longer required, free temp [x0==t2]! */ +119 if (mp_mul (&x0, &y0, &x0y0) != MP_OKAY) +120 goto X1Y1; /* x0y0 = x0*y0 */ +121 if (mp_mul (&x1, &y1, &x1y1) != MP_OKAY) +122 goto X1Y1; /* x1y1 = x1*y1 */ +123 +124 /* now calc x1+x0 and y1+y0 */ +125 if (s_mp_add (&x1, &x0, &t1) != MP_OKAY) +126 goto X1Y1; /* t1 = x1 - x0 */ +127 if (s_mp_add (&y1, &y0, &x0) != MP_OKAY) +128 goto X1Y1; /* t2 = y1 - y0 */ +129 if (mp_mul (&t1, &x0, &t1) != MP_OKAY) +130 goto X1Y1; /* t1 = (x1 + x0) * (y1 + y0) */ +131 +132 /* add x0y0 */ +133 if (mp_add (&x0y0, &x1y1, &x0) != MP_OKAY) +134 goto X1Y1; /* t2 = x0y0 + x1y1 */ +135 if (s_mp_sub (&t1, &x0, &t1) != MP_OKAY) +136 goto X1Y1; /* t1 = (x1+x0)*(y1+y0) - (x1y1 + x0y0) */ +137 +138 /* shift by B */ +139 if (mp_lshd (&t1, B) != MP_OKAY) +140 goto X1Y1; /* t1 = (x0y0 + x1y1 - (x1-x0)*(y1-y0))<used, b->used) / 3; +038 +039 /* a = a2 * B**2 + a1 * B + a0 */ +040 if ((res = mp_mod_2d(a, DIGIT_BIT * B, &a0)) != MP_OKAY) \{ +041 goto ERR; +042 \} +043 +044 if ((res = mp_copy(a, &a1)) != MP_OKAY) \{ +045 goto ERR; +046 \} +047 mp_rshd(&a1, B); +048 if ((res = mp_mod_2d(&a1, DIGIT_BIT * B, &a1)) != MP_OKAY) \{ +049 goto ERR; +050 \} +051 +052 if ((res = mp_copy(a, &a2)) != MP_OKAY) \{ +053 goto ERR; +054 \} +055 mp_rshd(&a2, B*2); +056 +057 /* b = b2 * B**2 + b1 * B + b0 */ +058 if ((res = mp_mod_2d(b, DIGIT_BIT * B, &b0)) != MP_OKAY) \{ +059 goto ERR; +060 \} +061 +062 if ((res = mp_copy(b, &b1)) != MP_OKAY) \{ +063 goto ERR; +064 \} +065 mp_rshd(&b1, B); +066 (void)mp_mod_2d(&b1, DIGIT_BIT * B, &b1); +067 +068 if ((res = mp_copy(b, &b2)) != MP_OKAY) \{ +069 goto ERR; +070 \} +071 mp_rshd(&b2, B*2); +072 +073 /* w0 = a0*b0 */ +074 if ((res = mp_mul(&a0, &b0, &w0)) != MP_OKAY) \{ +075 goto ERR; +076 \} +077 +078 /* w4 = a2 * b2 */ +079 if ((res = mp_mul(&a2, &b2, &w4)) != MP_OKAY) \{ +080 goto ERR; +081 \} +082 +083 /* w1 = (a2 + 2(a1 + 2a0))(b2 + 2(b1 + 2b0)) */ +084 if ((res = mp_mul_2(&a0, &tmp1)) != MP_OKAY) \{ +085 goto ERR; +086 \} +087 if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) \{ +088 goto ERR; +089 \} +090 if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) \{ +091 goto ERR; +092 \} +093 if ((res = mp_add(&tmp1, &a2, &tmp1)) != MP_OKAY) \{ +094 goto ERR; +095 \} +096 +097 if ((res = mp_mul_2(&b0, &tmp2)) != MP_OKAY) \{ +098 goto ERR; +099 \} +100 if ((res = mp_add(&tmp2, &b1, &tmp2)) != MP_OKAY) \{ +101 goto ERR; +102 \} +103 if ((res = mp_mul_2(&tmp2, &tmp2)) != MP_OKAY) \{ +104 goto ERR; +105 \} +106 if ((res = mp_add(&tmp2, &b2, &tmp2)) != MP_OKAY) \{ +107 goto ERR; +108 \} +109 +110 if ((res = mp_mul(&tmp1, &tmp2, &w1)) != MP_OKAY) \{ +111 goto ERR; +112 \} +113 +114 /* w3 = (a0 + 2(a1 + 2a2))(b0 + 2(b1 + 2b2)) */ +115 if ((res = mp_mul_2(&a2, &tmp1)) != MP_OKAY) \{ +116 goto ERR; +117 \} +118 if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) \{ +119 goto ERR; +120 \} +121 if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) \{ +122 goto ERR; +123 \} +124 if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) \{ +125 goto ERR; +126 \} +127 +128 if ((res = mp_mul_2(&b2, &tmp2)) != MP_OKAY) \{ +129 goto ERR; +130 \} +131 if ((res = mp_add(&tmp2, &b1, &tmp2)) != MP_OKAY) \{ +132 goto ERR; +133 \} +134 if ((res = mp_mul_2(&tmp2, &tmp2)) != MP_OKAY) \{ +135 goto ERR; +136 \} +137 if ((res = mp_add(&tmp2, &b0, &tmp2)) != MP_OKAY) \{ +138 goto ERR; +139 \} +140 +141 if ((res = mp_mul(&tmp1, &tmp2, &w3)) != MP_OKAY) \{ +142 goto ERR; +143 \} +144 +145 +146 /* w2 = (a2 + a1 + a0)(b2 + b1 + b0) */ +147 if ((res = mp_add(&a2, &a1, &tmp1)) != MP_OKAY) \{ +148 goto ERR; +149 \} +150 if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) \{ +151 goto ERR; +152 \} +153 if ((res = mp_add(&b2, &b1, &tmp2)) != MP_OKAY) \{ +154 goto ERR; +155 \} +156 if ((res = mp_add(&tmp2, &b0, &tmp2)) != MP_OKAY) \{ +157 goto ERR; +158 \} +159 if ((res = mp_mul(&tmp1, &tmp2, &w2)) != MP_OKAY) \{ +160 goto ERR; +161 \} +162 +163 /* now solve the matrix +164 +165 0 0 0 0 1 +166 1 2 4 8 16 +167 1 1 1 1 1 +168 16 8 4 2 1 +169 1 0 0 0 0 +170 +171 using 12 subtractions, 4 shifts, +172 2 small divisions and 1 small multiplication +173 */ +174 +175 /* r1 - r4 */ +176 if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) \{ +177 goto ERR; +178 \} +179 /* r3 - r0 */ +180 if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) \{ +181 goto ERR; +182 \} +183 /* r1/2 */ +184 if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) \{ +185 goto ERR; +186 \} +187 /* r3/2 */ +188 if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) \{ +189 goto ERR; +190 \} +191 /* r2 - r0 - r4 */ +192 if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) \{ +193 goto ERR; +194 \} +195 if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) \{ +196 goto ERR; +197 \} +198 /* r1 - r2 */ +199 if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) \{ +200 goto ERR; +201 \} +202 /* r3 - r2 */ +203 if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) \{ +204 goto ERR; +205 \} +206 /* r1 - 8r0 */ +207 if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) \{ +208 goto ERR; +209 \} +210 if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) \{ +211 goto ERR; +212 \} +213 /* r3 - 8r4 */ +214 if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) \{ +215 goto ERR; +216 \} +217 if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) \{ +218 goto ERR; +219 \} +220 /* 3r2 - r1 - r3 */ +221 if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) \{ +222 goto ERR; +223 \} +224 if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) \{ +225 goto ERR; +226 \} +227 if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) \{ +228 goto ERR; +229 \} +230 /* r1 - r2 */ +231 if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) \{ +232 goto ERR; +233 \} +234 /* r3 - r2 */ +235 if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) \{ +236 goto ERR; +237 \} +238 /* r1/3 */ +239 if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) \{ +240 goto ERR; +241 \} +242 /* r3/3 */ +243 if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) \{ +244 goto ERR; +245 \} +246 +247 /* at this point shift W[n] by B*n */ +248 if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) \{ +249 goto ERR; +250 \} +251 if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) \{ +252 goto ERR; +253 \} +254 if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) \{ +255 goto ERR; +256 \} +257 if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) \{ +258 goto ERR; +259 \} +260 +261 if ((res = mp_add(&w0, &w1, c)) != MP_OKAY) \{ +262 goto ERR; +263 \} +264 if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) \{ +265 goto ERR; +266 \} +267 if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) \{ +268 goto ERR; +269 \} +270 if ((res = mp_add(&tmp1, c, c)) != MP_OKAY) \{ +271 goto ERR; +272 \} +273 +274 ERR: +275 mp_clear_multi(&w0, &w1, &w2, &w3, &w4, +276 &a0, &a1, &a2, &b0, &b1, +277 &b2, &tmp1, &tmp2, NULL); +278 return res; +279 \} +280 +281 #endif +282 \end{alltt} \end{small} -The first obvious thing to note is that this algorithm is complicated. The complexity is worth it if you are multiplying very +The first obvious thing to note is that this algorithm is complicated. The complexity is worth it if you are multiplying very large numbers. For example, a 10,000 digit multiplication takes approximaly 99,282,205 fewer single precision multiplications with Toom--Cook than a Comba or baseline approach (this is a savings of more than 99$\%$). For most ``crypto'' sized numbers this algorithm is not practical as Karatsuba has a much lower cutoff point. -First we split $a$ and $b$ into three roughly equal portions. This has been accomplished (lines 41 to 70) with +First we split $a$ and $b$ into three roughly equal portions. This has been accomplished (lines 40 to 71) with combinations of mp\_rshd() and mp\_mod\_2d() function calls. At this point $a = a2 \cdot \beta^2 + a1 \cdot \beta + a0$ and similiarly -for $b$. +for $b$. Next we compute the five points $w0, w1, w2, w3$ and $w4$. Recall that $w0$ and $w4$ can be computed directly from the portions so -we get those out of the way first (lines 73 and 78). Next we compute $w1, w2$ and $w3$ using Horners method. +we get those out of the way first (lines 74 and 79). Next we compute $w1, w2$ and $w3$ using Horners method. After this point we solve for the actual values of $w1, w2$ and $w3$ by reducing the $5 \times 5$ system which is relatively -straight forward. +straight forward. \subsection{Signed Multiplication} Now that algorithms to handle multiplications of every useful dimensions have been developed, a rather simple finishing touch is required. So far all -of the multiplication algorithms have been unsigned multiplications which leaves only a signed multiplication algorithm to be established. +of the multiplication algorithms have been unsigned multiplications which leaves only a signed multiplication algorithm to be established. \begin{figure}[!here] \begin{small} @@ -3198,29 +4800,77 @@ of the multiplication algorithms have been unsigned multiplications which leaves \end{figure} \textbf{Algorithm mp\_mul.} -This algorithm performs the signed multiplication of two inputs. It will make use of any of the three unsigned multiplication algorithms +This algorithm performs the signed multiplication of two inputs. It will make use of any of the three unsigned multiplication algorithms available when the input is of appropriate size. The \textbf{sign} of the result is not set until the end of the algorithm since algorithm -s\_mp\_mul\_digs will clear it. +s\_mp\_mul\_digs will clear it. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_mul.c \vspace{-3mm} \begin{alltt} +016 +017 /* high level multiplication (handles sign) */ +018 int mp_mul (mp_int * a, mp_int * b, mp_int * c) +019 \{ +020 int res, neg; +021 neg = (a->sign == b->sign) ? MP_ZPOS : MP_NEG; +022 +023 /* use Toom-Cook? */ +024 #ifdef BN_MP_TOOM_MUL_C +025 if (MIN (a->used, b->used) >= TOOM_MUL_CUTOFF) \{ +026 res = mp_toom_mul(a, b, c); +027 \} else +028 #endif +029 #ifdef BN_MP_KARATSUBA_MUL_C +030 /* use Karatsuba? */ +031 if (MIN (a->used, b->used) >= KARATSUBA_MUL_CUTOFF) \{ +032 res = mp_karatsuba_mul (a, b, c); +033 \} else +034 #endif +035 \{ +036 /* can we use the fast multiplier? +037 * +038 * The fast multiplier can be used if the output will +039 * have less than MP_WARRAY digits and the number of +040 * digits won't affect carry propagation +041 */ +042 int digs = a->used + b->used + 1; +043 +044 #ifdef BN_FAST_S_MP_MUL_DIGS_C +045 if ((digs < MP_WARRAY) && +046 (MIN(a->used, b->used) <= +047 (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) \{ +048 res = fast_s_mp_mul_digs (a, b, c, digs); +049 \} else +050 #endif +051 \{ +052 #ifdef BN_S_MP_MUL_DIGS_C +053 res = s_mp_mul (a, b, c); /* uses s_mp_mul_digs */ +054 #else +055 res = MP_VAL; +056 #endif +057 \} +058 \} +059 c->sign = (c->used > 0) ? neg : MP_ZPOS; +060 return res; +061 \} +062 #endif +063 \end{alltt} \end{small} -The implementation is rather simplistic and is not particularly noteworthy. Line 22 computes the sign of the result using the ``?'' -operator from the C programming language. Line 48 computes $\delta$ using the fact that $1 << k$ is equal to $2^k$. +The implementation is rather simplistic and is not particularly noteworthy. Line 23 computes the sign of the result using the ``?'' +operator from the C programming language. Line 47 computes $\delta$ using the fact that $1 << k$ is equal to $2^k$. \section{Squaring} \label{sec:basesquare} Squaring is a special case of multiplication where both multiplicands are equal. At first it may seem like there is no significant optimization available but in fact there is. Consider the multiplication of $576$ against $241$. In total there will be nine single precision multiplications -performed which are $1\cdot 6$, $1 \cdot 7$, $1 \cdot 5$, $4 \cdot 6$, $4 \cdot 7$, $4 \cdot 5$, $2 \cdot 6$, $2 \cdot 7$ and $2 \cdot 5$. Now consider -the multiplication of $123$ against $123$. The nine products are $3 \cdot 3$, $3 \cdot 2$, $3 \cdot 1$, $2 \cdot 3$, $2 \cdot 2$, $2 \cdot 1$, -$1 \cdot 3$, $1 \cdot 2$ and $1 \cdot 1$. On closer inspection some of the products are equivalent. For example, $3 \cdot 2 = 2 \cdot 3$ -and $3 \cdot 1 = 1 \cdot 3$. +performed which are $1\cdot 6$, $1 \cdot 7$, $1 \cdot 5$, $4 \cdot 6$, $4 \cdot 7$, $4 \cdot 5$, $2 \cdot 6$, $2 \cdot 7$ and $2 \cdot 5$. Now consider +the multiplication of $123$ against $123$. The nine products are $3 \cdot 3$, $3 \cdot 2$, $3 \cdot 1$, $2 \cdot 3$, $2 \cdot 2$, $2 \cdot 1$, +$1 \cdot 3$, $1 \cdot 2$ and $1 \cdot 1$. On closer inspection some of the products are equivalent. For example, $3 \cdot 2 = 2 \cdot 3$ +and $3 \cdot 1 = 1 \cdot 3$. For any $n$-digit input, there are ${{\left (n^2 + n \right)}\over 2}$ possible unique single precision multiplications required compared to the $n^2$ required for multiplication. The following diagram gives an example of the operations required. @@ -3239,19 +4889,19 @@ $\times$ &&1&2&3&\\ \end{figure} Starting from zero and numbering the columns from right to left a very simple pattern becomes obvious. For the purposes of this discussion let $x$ -represent the number being squared. The first observation is that in row $k$ the $2k$'th column of the product has a $\left (x_k \right)^2$ term in it. +represent the number being squared. The first observation is that in row $k$ the $2k$'th column of the product has a $\left (x_k \right)^2$ term in it. The second observation is that every column $j$ in row $k$ where $j \ne 2k$ is part of a double product. Every non-square term of a column will -appear twice hence the name ``double product''. Every odd column is made up entirely of double products. In fact every column is made up of double -products and at most one square (\textit{see the exercise section}). +appear twice hence the name ``double product''. Every odd column is made up entirely of double products. In fact every column is made up of double +products and at most one square (\textit{see the exercise section}). -The third and final observation is that for row $k$ the first unique non-square term, that is, one that hasn't already appeared in an earlier row, -occurs at column $2k + 1$. For example, on row $1$ of the previous squaring, column one is part of the double product with column one from row zero. +The third and final observation is that for row $k$ the first unique non-square term, that is, one that hasn't already appeared in an earlier row, +occurs at column $2k + 1$. For example, on row $1$ of the previous squaring, column one is part of the double product with column one from row zero. Column two of row one is a square and column three is the first unique column. \subsection{The Baseline Squaring Algorithm} The baseline squaring algorithm is meant to be a catch-all squaring algorithm. It will handle any of the input sizes that the faster routines -will not handle. +will not handle. \begin{figure}[!here] \begin{small} @@ -3293,35 +4943,100 @@ will not handle. \textbf{Algorithm s\_mp\_sqr.} This algorithm computes the square of an input using the three observations on squaring. It is based fairly faithfully on algorithm 14.16 of HAC -\cite[pp.596-597]{HAC}. Similar to algorithm s\_mp\_mul\_digs, a temporary mp\_int is allocated to hold the result of the squaring. This allows the +\cite[pp.596-597]{HAC}. Similar to algorithm s\_mp\_mul\_digs, a temporary mp\_int is allocated to hold the result of the squaring. This allows the destination mp\_int to be the same as the source mp\_int. The outer loop of this algorithm begins on step 4. It is best to think of the outer loop as walking down the rows of the partial results, while the inner loop computes the columns of the partial result. Step 4.1 and 4.2 compute the square term for each row, and step 4.3 and 4.4 propagate -the carry and compute the double products. +the carry and compute the double products. The requirement that a mp\_word be able to represent the range $0 \le x < 2 \beta^2$ arises from this very algorithm. The product $a_{ix}a_{iy}$ will lie in the range $0 \le x \le \beta^2 - 2\beta + 1$ which is obviously less than $\beta^2$ meaning that when it is multiplied by two, it can be properly represented by a mp\_word. -Similar to algorithm s\_mp\_mul\_digs, after every pass of the inner loop, the destination is correctly set to the sum of all of the partial -results calculated so far. This involves expensive carry propagation which will be eliminated in the next algorithm. +Similar to algorithm s\_mp\_mul\_digs, after every pass of the inner loop, the destination is correctly set to the sum of all of the partial +results calculated so far. This involves expensive carry propagation which will be eliminated in the next algorithm. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_s\_mp\_sqr.c \vspace{-3mm} \begin{alltt} +016 +017 /* low level squaring, b = a*a, HAC pp.596-597, Algorithm 14.16 */ +018 int s_mp_sqr (mp_int * a, mp_int * b) +019 \{ +020 mp_int t; +021 int res, ix, iy, pa; +022 mp_word r; +023 mp_digit u, tmpx, *tmpt; +024 +025 pa = a->used; +026 if ((res = mp_init_size (&t, (2 * pa) + 1)) != MP_OKAY) \{ +027 return res; +028 \} +029 +030 /* default used is maximum possible size */ +031 t.used = (2 * pa) + 1; +032 +033 for (ix = 0; ix < pa; ix++) \{ +034 /* first calculate the digit at 2*ix */ +035 /* calculate double precision result */ +036 r = (mp_word)t.dp[2*ix] + +037 ((mp_word)a->dp[ix] * (mp_word)a->dp[ix]); +038 +039 /* store lower part in result */ +040 t.dp[ix+ix] = (mp_digit) (r & ((mp_word) MP_MASK)); +041 +042 /* get the carry */ +043 u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); +044 +045 /* left hand side of A[ix] * A[iy] */ +046 tmpx = a->dp[ix]; +047 +048 /* alias for where to store the results */ +049 tmpt = t.dp + ((2 * ix) + 1); +050 +051 for (iy = ix + 1; iy < pa; iy++) \{ +052 /* first calculate the product */ +053 r = ((mp_word)tmpx) * ((mp_word)a->dp[iy]); +054 +055 /* now calculate the double precision result, note we use +056 * addition instead of *2 since it's easier to optimize +057 */ +058 r = ((mp_word) *tmpt) + r + r + ((mp_word) u); +059 +060 /* store lower part */ +061 *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); +062 +063 /* get carry */ +064 u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); +065 \} +066 /* propagate upwards */ +067 while (u != ((mp_digit) 0)) \{ +068 r = ((mp_word) *tmpt) + ((mp_word) u); +069 *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); +070 u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); +071 \} +072 \} +073 +074 mp_clamp (&t); +075 mp_exch (&t, b); +076 mp_clear (&t); +077 return MP_OKAY; +078 \} +079 #endif +080 \end{alltt} \end{small} -Inside the outer loop (line 34) the square term is calculated on line 37. The carry (line 44) has been -extracted from the mp\_word accumulator using a right shift. Aliases for $a_{ix}$ and $t_{ix+iy}$ are initialized -(lines 47 and 50) to simplify the inner loop. The doubling is performed using two -additions (line 59) since it is usually faster than shifting, if not at least as fast. +Inside the outer loop (line 33) the square term is calculated on line 36. The carry (line 43) has been +extracted from the mp\_word accumulator using a right shift. Aliases for $a_{ix}$ and $t_{ix+iy}$ are initialized +(lines 46 and 49) to simplify the inner loop. The doubling is performed using two +additions (line 58) since it is usually faster than shifting, if not at least as fast. The important observation is that the inner loop does not begin at $iy = 0$ like for multiplication. As such the inner loops get progressively shorter as the algorithm proceeds. This is what leads to the savings compared to using a multiplication to -square a number. +square a number. \subsection{Faster Squaring by the ``Comba'' Method} A major drawback to the baseline method is the requirement for single precision shifting inside the $O(n^2)$ nested loop. Squaring has an additional @@ -3331,10 +5046,10 @@ performance hazards. The first obvious solution is to make an array of mp\_words which will hold all of the columns. This will indeed eliminate all of the carry propagation operations from the inner loop. However, the inner product must still be doubled $O(n^2)$ times. The solution stems from the simple fact that $2a + 2b + 2c = 2(a + b + c)$. That is the sum of all of the double products is equal to double the sum of all the products. For example, -$ab + ba + ac + ca = 2ab + 2ac = 2(ab + ac)$. +$ab + ba + ac + ca = 2ab + 2ac = 2(ab + ac)$. -However, we cannot simply double all of the columns, since the squares appear only once per row. The most practical solution is to have two -mp\_word arrays. One array will hold the squares and the other array will hold the double products. With both arrays the doubling and +However, we cannot simply double all of the columns, since the squares appear only once per row. The most practical solution is to have two +mp\_word arrays. One array will hold the squares and the other array will hold the double products. With both arrays the doubling and carry propagation can be moved to a $O(n)$ work level outside the $O(n^2)$ level. In this case, we have an even simpler solution in mind. \newpage\begin{figure}[!here] @@ -3372,7 +5087,7 @@ Place an array of \textbf{MP\_WARRAY} mp\_digits named $W$ on the stack. \\ 9. for $ix$ from $pa$ to $oldused - 1$ do \\ \hspace{3mm}9.1 $b_{ix} \leftarrow 0$ \\ 10. Clamp excess digits from $b$. (\textit{mp\_clamp}) \\ -11. Return(\textit{MP\_OKAY}). \\ +11. Return(\textit{MP\_OKAY}). \\ \hline \end{tabular} \end{center} @@ -3381,8 +5096,8 @@ Place an array of \textbf{MP\_WARRAY} mp\_digits named $W$ on the stack. \\ \end{figure} \textbf{Algorithm fast\_s\_mp\_sqr.} -This algorithm computes the square of an input using the Comba technique. It is designed to be a replacement for algorithm -s\_mp\_sqr when the number of input digits is less than \textbf{MP\_WARRAY} and less than $\delta \over 2$. +This algorithm computes the square of an input using the Comba technique. It is designed to be a replacement for algorithm +s\_mp\_sqr when the number of input digits is less than \textbf{MP\_WARRAY} and less than $\delta \over 2$. This algorithm is very similar to the Comba multiplier except with a few key differences we shall make note of. First, we have an accumulator and carry variables $\_ \hat W$ and $\hat W1$ respectively. This is because the inner loop @@ -3399,38 +5114,133 @@ only to even outputs and it is the square of the term at the $\lfloor ix / 2 \rf \hspace{-5.1mm}{\bf File}: bn\_fast\_s\_mp\_sqr.c \vspace{-3mm} \begin{alltt} +016 +017 /* the jist of squaring... +018 * you do like mult except the offset of the tmpx [one that +019 * starts closer to zero] can't equal the offset of tmpy. +020 * So basically you set up iy like before then you min it with +021 * (ty-tx) so that it never happens. You double all those +022 * you add in the inner loop +023 +024 After that loop you do the squares and add them in. +025 */ +026 +027 int fast_s_mp_sqr (mp_int * a, mp_int * b) +028 \{ +029 int olduse, res, pa, ix, iz; +030 mp_digit W[MP_WARRAY], *tmpx; +031 mp_word W1; +032 +033 /* grow the destination as required */ +034 pa = a->used + a->used; +035 if (b->alloc < pa) \{ +036 if ((res = mp_grow (b, pa)) != MP_OKAY) \{ +037 return res; +038 \} +039 \} +040 +041 /* number of output digits to produce */ +042 W1 = 0; +043 for (ix = 0; ix < pa; ix++) \{ +044 int tx, ty, iy; +045 mp_word _W; +046 mp_digit *tmpy; +047 +048 /* clear counter */ +049 _W = 0; +050 +051 /* get offsets into the two bignums */ +052 ty = MIN(a->used-1, ix); +053 tx = ix - ty; +054 +055 /* setup temp aliases */ +056 tmpx = a->dp + tx; +057 tmpy = a->dp + ty; +058 +059 /* this is the number of times the loop will iterrate, essentially +060 while (tx++ < a->used && ty-- >= 0) \{ ... \} +061 */ +062 iy = MIN(a->used-tx, ty+1); +063 +064 /* now for squaring tx can never equal ty +065 * we halve the distance since they approach at a rate of 2x +066 * and we have to round because odd cases need to be executed +067 */ +068 iy = MIN(iy, ((ty-tx)+1)>>1); +069 +070 /* execute loop */ +071 for (iz = 0; iz < iy; iz++) \{ +072 _W += ((mp_word)*tmpx++)*((mp_word)*tmpy--); +073 \} +074 +075 /* double the inner product and add carry */ +076 _W = _W + _W + W1; +077 +078 /* even columns have the square term in them */ +079 if ((ix&1) == 0) \{ +080 _W += ((mp_word)a->dp[ix>>1])*((mp_word)a->dp[ix>>1]); +081 \} +082 +083 /* store it */ +084 W[ix] = (mp_digit)(_W & MP_MASK); +085 +086 /* make next carry */ +087 W1 = _W >> ((mp_word)DIGIT_BIT); +088 \} +089 +090 /* setup dest */ +091 olduse = b->used; +092 b->used = a->used+a->used; +093 +094 \{ +095 mp_digit *tmpb; +096 tmpb = b->dp; +097 for (ix = 0; ix < pa; ix++) \{ +098 *tmpb++ = W[ix] & MP_MASK; +099 \} +100 +101 /* clear unused digits [that existed in the old copy of c] */ +102 for (; ix < olduse; ix++) \{ +103 *tmpb++ = 0; +104 \} +105 \} +106 mp_clamp (b); +107 return MP_OKAY; +108 \} +109 #endif +110 \end{alltt} \end{small} -This implementation is essentially a copy of Comba multiplication with the appropriate changes added to make it faster for -the special case of squaring. +This implementation is essentially a copy of Comba multiplication with the appropriate changes added to make it faster for +the special case of squaring. \subsection{Polynomial Basis Squaring} The same algorithm that performs optimal polynomial basis multiplication can be used to perform polynomial basis squaring. The minor exception is that $\zeta_y = f(y)g(y)$ is actually equivalent to $\zeta_y = f(y)^2$ since $f(y) = g(y)$. Instead of performing $2n + 1$ -multiplications to find the $\zeta$ relations, squaring operations are performed instead. +multiplications to find the $\zeta$ relations, squaring operations are performed instead. \subsection{Karatsuba Squaring} -Let $f(x) = ax + b$ represent the polynomial basis representation of a number to square. -Let $h(x) = \left ( f(x) \right )^2$ represent the square of the polynomial. The Karatsuba equation can be modified to square a +Let $f(x) = ax + b$ represent the polynomial basis representation of a number to square. +Let $h(x) = \left ( f(x) \right )^2$ represent the square of the polynomial. The Karatsuba equation can be modified to square a number with the following equation. \begin{equation} h(x) = a^2x^2 + \left ((a + b)^2 - (a^2 + b^2) \right )x + b^2 \end{equation} -Upon closer inspection this equation only requires the calculation of three half-sized squares: $a^2$, $b^2$ and $(a + b)^2$. As in -Karatsuba multiplication, this algorithm can be applied recursively on the input and will achieve an asymptotic running time of +Upon closer inspection this equation only requires the calculation of three half-sized squares: $a^2$, $b^2$ and $(a + b)^2$. As in +Karatsuba multiplication, this algorithm can be applied recursively on the input and will achieve an asymptotic running time of $O \left ( n^{lg(3)} \right )$. -If the asymptotic times of Karatsuba squaring and multiplication are the same, why not simply use the multiplication algorithm -instead? The answer to this arises from the cutoff point for squaring. As in multiplication there exists a cutoff point, at which the -time required for a Comba based squaring and a Karatsuba based squaring meet. Due to the overhead inherent in the Karatsuba method, the cutoff -point is fairly high. For example, on an AMD Athlon XP processor with $\beta = 2^{28}$, the cutoff point is around 127 digits. +If the asymptotic times of Karatsuba squaring and multiplication are the same, why not simply use the multiplication algorithm +instead? The answer to this arises from the cutoff point for squaring. As in multiplication there exists a cutoff point, at which the +time required for a Comba based squaring and a Karatsuba based squaring meet. Due to the overhead inherent in the Karatsuba method, the cutoff +point is fairly high. For example, on an AMD Athlon XP processor with $\beta = 2^{28}$, the cutoff point is around 127 digits. -Consider squaring a 200 digit number with this technique. It will be split into two 100 digit halves which are subsequently squared. +Consider squaring a 200 digit number with this technique. It will be split into two 100 digit halves which are subsequently squared. The 100 digit halves will not be squared using Karatsuba, but instead using the faster Comba based squaring algorithm. If Karatsuba multiplication -were used instead, the 100 digit numbers would be squared with a slower Comba based multiplication. +were used instead, the 100 digit numbers would be squared with a slower Comba based multiplication. \newpage\begin{figure}[!here] \begin{small} @@ -3484,7 +5294,7 @@ Now if $5n$ single precision additions and a squaring of $n$-digits is faster th this method is faster. Assuming no further recursions occur, the difference can be estimated with the following inequality. Let $p$ represent the cost of a single precision addition and $q$ the cost of a single precision multiplication both in terms of time\footnote{Or -machine clock cycles.}. +machine clock cycles.}. \begin{equation} 5pn +{{q(n^2 + n)} \over 2} \le pn + qn^2 @@ -3502,32 +5312,134 @@ ${13 \over 9}$ & $<$ & $n$ \\ This results in a cutoff point around $n = 2$. As a consequence it is actually faster to compute the middle term the ``long way'' on processors where multiplication is substantially slower\footnote{On the Athlon there is a 1:17 ratio between clock cycles for addition and multiplication. On the Intel P4 processor this ratio is 1:29 making this method even more beneficial. The only common exception is the ARMv4 processor which has a -ratio of 1:7. } than simpler operations such as addition. +ratio of 1:7. } than simpler operations such as addition. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_karatsuba\_sqr.c \vspace{-3mm} \begin{alltt} +016 +017 /* Karatsuba squaring, computes b = a*a using three +018 * half size squarings +019 * +020 * See comments of karatsuba_mul for details. It +021 * is essentially the same algorithm but merely +022 * tuned to perform recursive squarings. +023 */ +024 int mp_karatsuba_sqr (mp_int * a, mp_int * b) +025 \{ +026 mp_int x0, x1, t1, t2, x0x0, x1x1; +027 int B, err; +028 +029 err = MP_MEM; +030 +031 /* min # of digits */ +032 B = a->used; +033 +034 /* now divide in two */ +035 B = B >> 1; +036 +037 /* init copy all the temps */ +038 if (mp_init_size (&x0, B) != MP_OKAY) +039 goto ERR; +040 if (mp_init_size (&x1, a->used - B) != MP_OKAY) +041 goto X0; +042 +043 /* init temps */ +044 if (mp_init_size (&t1, a->used * 2) != MP_OKAY) +045 goto X1; +046 if (mp_init_size (&t2, a->used * 2) != MP_OKAY) +047 goto T1; +048 if (mp_init_size (&x0x0, B * 2) != MP_OKAY) +049 goto T2; +050 if (mp_init_size (&x1x1, (a->used - B) * 2) != MP_OKAY) +051 goto X0X0; +052 +053 \{ +054 int x; +055 mp_digit *dst, *src; +056 +057 src = a->dp; +058 +059 /* now shift the digits */ +060 dst = x0.dp; +061 for (x = 0; x < B; x++) \{ +062 *dst++ = *src++; +063 \} +064 +065 dst = x1.dp; +066 for (x = B; x < a->used; x++) \{ +067 *dst++ = *src++; +068 \} +069 \} +070 +071 x0.used = B; +072 x1.used = a->used - B; +073 +074 mp_clamp (&x0); +075 +076 /* now calc the products x0*x0 and x1*x1 */ +077 if (mp_sqr (&x0, &x0x0) != MP_OKAY) +078 goto X1X1; /* x0x0 = x0*x0 */ +079 if (mp_sqr (&x1, &x1x1) != MP_OKAY) +080 goto X1X1; /* x1x1 = x1*x1 */ +081 +082 /* now calc (x1+x0)**2 */ +083 if (s_mp_add (&x1, &x0, &t1) != MP_OKAY) +084 goto X1X1; /* t1 = x1 - x0 */ +085 if (mp_sqr (&t1, &t1) != MP_OKAY) +086 goto X1X1; /* t1 = (x1 - x0) * (x1 - x0) */ +087 +088 /* add x0y0 */ +089 if (s_mp_add (&x0x0, &x1x1, &t2) != MP_OKAY) +090 goto X1X1; /* t2 = x0x0 + x1x1 */ +091 if (s_mp_sub (&t1, &t2, &t1) != MP_OKAY) +092 goto X1X1; /* t1 = (x1+x0)**2 - (x0x0 + x1x1) */ +093 +094 /* shift by B */ +095 if (mp_lshd (&t1, B) != MP_OKAY) +096 goto X1X1; /* t1 = (x0x0 + x1x1 - (x1-x0)*(x1-x0))<used >= TOOM_SQR_CUTOFF) \{ +026 res = mp_toom_sqr(a, b); +027 /* Karatsuba? */ +028 \} else +029 #endif +030 #ifdef BN_MP_KARATSUBA_SQR_C +031 if (a->used >= KARATSUBA_SQR_CUTOFF) \{ +032 res = mp_karatsuba_sqr (a, b); +033 \} else +034 #endif +035 \{ +036 #ifdef BN_FAST_S_MP_SQR_C +037 /* can we use the fast comba multiplier? */ +038 if ((((a->used * 2) + 1) < MP_WARRAY) && +039 (a->used < +040 (1 << (((sizeof(mp_word) * CHAR_BIT) - (2 * DIGIT_BIT)) - 1)))) \{ +041 res = fast_s_mp_sqr (a, b); +042 \} else +043 #endif +044 \{ +045 #ifdef BN_S_MP_SQR_C +046 res = s_mp_sqr (a, b); +047 #else +048 res = MP_VAL; +049 #endif +050 \} +051 \} +052 b->sign = MP_ZPOS; +053 return res; +054 \} +055 #endif +056 \end{alltt} \end{small} @@ -3576,11 +5529,11 @@ $\left [ 3 \right ] $ & Devise an efficient algorithm for selection of the radix & \\ $\left [ 2 \right ] $ & In section 5.3 the fact that every column of a squaring is made up \\ & of double products and at most one square is stated. Prove this statement. \\ - & \\ + & \\ $\left [ 3 \right ] $ & Prove the equation for Karatsuba squaring. \\ & \\ $\left [ 1 \right ] $ & Prove that Karatsuba squaring requires $O \left (n^{lg(3)} \right )$ time. \\ - & \\ + & \\ $\left [ 2 \right ] $ & Determine the minimal ratio between addition and multiplication clock cycles \\ & required for equation $6.7$ to be true. \\ & \\ @@ -3597,61 +5550,61 @@ $\left [ 4 \right ] $ & Same as the previous but also modify the Karatsuba and T \chapter{Modular Reduction} \section{Basics of Modular Reduction} \index{modular residue} -Modular reduction is an operation that arises quite often within public key cryptography algorithms and various number theoretic algorithms, +Modular reduction is an operation that arises quite often within public key cryptography algorithms and various number theoretic algorithms, such as factoring. Modular reduction algorithms are the third class of algorithms of the ``multipliers'' set. A number $a$ is said to be \textit{reduced} -modulo another number $b$ by finding the remainder of the division $a/b$. Full integer division with remainder is a topic to be covered +modulo another number $b$ by finding the remainder of the division $a/b$. Full integer division with remainder is a topic to be covered in~\ref{sec:division}. -Modular reduction is equivalent to solving for $r$ in the following equation. $a = bq + r$ where $q = \lfloor a/b \rfloor$. The result -$r$ is said to be ``congruent to $a$ modulo $b$'' which is also written as $r \equiv a \mbox{ (mod }b\mbox{)}$. In other vernacular $r$ is known as the +Modular reduction is equivalent to solving for $r$ in the following equation. $a = bq + r$ where $q = \lfloor a/b \rfloor$. The result +$r$ is said to be ``congruent to $a$ modulo $b$'' which is also written as $r \equiv a \mbox{ (mod }b\mbox{)}$. In other vernacular $r$ is known as the ``modular residue'' which leads to ``quadratic residue''\footnote{That's fancy talk for $b \equiv a^2 \mbox{ (mod }p\mbox{)}$.} and -other forms of residues. +other forms of residues. -Modular reductions are normally used to create either finite groups, rings or fields. The most common usage for performance driven modular reductions -is in modular exponentiation algorithms. That is to compute $d = a^b \mbox{ (mod }c\mbox{)}$ as fast as possible. This operation is used in the -RSA and Diffie-Hellman public key algorithms, for example. Modular multiplication and squaring also appears as a fundamental operation in -elliptic curve cryptographic algorithms. As will be discussed in the subsequent chapter there exist fast algorithms for computing modular -exponentiations without having to perform (\textit{in this example}) $b - 1$ multiplications. These algorithms will produce partial results in the -range $0 \le x < c^2$ which can be taken advantage of to create several efficient algorithms. They have also been used to create redundancy check -algorithms known as CRCs, error correction codes such as Reed-Solomon and solve a variety of number theoeretic problems. +Modular reductions are normally used to create either finite groups, rings or fields. The most common usage for performance driven modular reductions +is in modular exponentiation algorithms. That is to compute $d = a^b \mbox{ (mod }c\mbox{)}$ as fast as possible. This operation is used in the +RSA and Diffie-Hellman public key algorithms, for example. Modular multiplication and squaring also appears as a fundamental operation in +elliptic curve cryptographic algorithms. As will be discussed in the subsequent chapter there exist fast algorithms for computing modular +exponentiations without having to perform (\textit{in this example}) $b - 1$ multiplications. These algorithms will produce partial results in the +range $0 \le x < c^2$ which can be taken advantage of to create several efficient algorithms. They have also been used to create redundancy check +algorithms known as CRCs, error correction codes such as Reed-Solomon and solve a variety of number theoeretic problems. \section{The Barrett Reduction} The Barrett reduction algorithm \cite{BARRETT} was inspired by fast division algorithms which multiply by the reciprocal to emulate -division. Barretts observation was that the residue $c$ of $a$ modulo $b$ is equal to +division. Barretts observation was that the residue $c$ of $a$ modulo $b$ is equal to \begin{equation} c = a - b \cdot \lfloor a/b \rfloor \end{equation} -Since algorithms such as modular exponentiation would be using the same modulus extensively, typical DSP\footnote{It is worth noting that Barrett's paper -targeted the DSP56K processor.} intuition would indicate the next step would be to replace $a/b$ by a multiplication by the reciprocal. However, -DSP intuition on its own will not work as these numbers are considerably larger than the precision of common DSP floating point data types. +Since algorithms such as modular exponentiation would be using the same modulus extensively, typical DSP\footnote{It is worth noting that Barrett's paper +targeted the DSP56K processor.} intuition would indicate the next step would be to replace $a/b$ by a multiplication by the reciprocal. However, +DSP intuition on its own will not work as these numbers are considerably larger than the precision of common DSP floating point data types. It would take another common optimization to optimize the algorithm. \subsection{Fixed Point Arithmetic} The trick used to optimize the above equation is based on a technique of emulating floating point data types with fixed precision integers. Fixed -point arithmetic would become very popular as it greatly optimize the ``3d-shooter'' genre of games in the mid 1990s when floating point units were -fairly slow if not unavailable. The idea behind fixed point arithmetic is to take a normal $k$-bit integer data type and break it into $p$-bit -integer and a $q$-bit fraction part (\textit{where $p+q = k$}). +point arithmetic would become very popular as it greatly optimize the ``3d-shooter'' genre of games in the mid 1990s when floating point units were +fairly slow if not unavailable. The idea behind fixed point arithmetic is to take a normal $k$-bit integer data type and break it into $p$-bit +integer and a $q$-bit fraction part (\textit{where $p+q = k$}). In this system a $k$-bit integer $n$ would actually represent $n/2^q$. For example, with $q = 4$ the integer $n = 37$ would actually represent the -value $2.3125$. To multiply two fixed point numbers the integers are multiplied using traditional arithmetic and subsequently normalized by -moving the implied decimal point back to where it should be. For example, with $q = 4$ to multiply the integers $9$ and $5$ they must be converted -to fixed point first by multiplying by $2^q$. Let $a = 9(2^q)$ represent the fixed point representation of $9$ and $b = 5(2^q)$ represent the -fixed point representation of $5$. The product $ab$ is equal to $45(2^{2q})$ which when normalized by dividing by $2^q$ produces $45(2^q)$. +value $2.3125$. To multiply two fixed point numbers the integers are multiplied using traditional arithmetic and subsequently normalized by +moving the implied decimal point back to where it should be. For example, with $q = 4$ to multiply the integers $9$ and $5$ they must be converted +to fixed point first by multiplying by $2^q$. Let $a = 9(2^q)$ represent the fixed point representation of $9$ and $b = 5(2^q)$ represent the +fixed point representation of $5$. The product $ab$ is equal to $45(2^{2q})$ which when normalized by dividing by $2^q$ produces $45(2^q)$. This technique became popular since a normal integer multiplication and logical shift right are the only required operations to perform a multiplication -of two fixed point numbers. Using fixed point arithmetic, division can be easily approximated by multiplying by the reciprocal. If $2^q$ is -equivalent to one than $2^q/b$ is equivalent to the fixed point approximation of $1/b$ using real arithmetic. Using this fact dividing an integer +of two fixed point numbers. Using fixed point arithmetic, division can be easily approximated by multiplying by the reciprocal. If $2^q$ is +equivalent to one than $2^q/b$ is equivalent to the fixed point approximation of $1/b$ using real arithmetic. Using this fact dividing an integer $a$ by another integer $b$ can be achieved with the following expression. \begin{equation} \lfloor a / b \rfloor \mbox{ }\approx\mbox{ } \lfloor (a \cdot \lfloor 2^q / b \rfloor)/2^q \rfloor \end{equation} -The precision of the division is proportional to the value of $q$. If the divisor $b$ is used frequently as is the case with +The precision of the division is proportional to the value of $q$. If the divisor $b$ is used frequently as is the case with modular exponentiation pre-computing $2^q/b$ will allow a division to be performed with a multiplication and a right shift. Both operations -are considerably faster than division on most processors. +are considerably faster than division on most processors. Consider dividing $19$ by $5$. The correct result is $\lfloor 19/5 \rfloor = 3$. With $q = 3$ the reciprocal is $\lfloor 2^q/5 \rfloor = 1$ which leads to a product of $19$ which when divided by $2^q$ produces $2$. However, with $q = 4$ the reciprocal is $\lfloor 2^q/5 \rfloor = 3$ and @@ -3672,11 +5625,11 @@ c = a - b \cdot \lfloor (a \cdot \mu)/2^q \rfloor Provided that $2^q \ge a$ this algorithm will produce a quotient that is either exactly correct or off by a value of one. In the context of Barrett reduction the value of $a$ is bound by $0 \le a \le (b - 1)^2$ meaning that $2^q \ge b^2$ is sufficient to ensure the reciprocal will have enough -precision. +precision. -Let $n$ represent the number of digits in $b$. This algorithm requires approximately $2n^2$ single precision multiplications to produce the quotient and -another $n^2$ single precision multiplications to find the residue. In total $3n^2$ single precision multiplications are required to -reduce the number. +Let $n$ represent the number of digits in $b$. This algorithm requires approximately $2n^2$ single precision multiplications to produce the quotient and +another $n^2$ single precision multiplications to find the residue. In total $3n^2$ single precision multiplications are required to +reduce the number. For example, if $b = 1179677$ and $q = 41$ ($2^q > b^2$), then the reciprocal $\mu$ is equal to $\lfloor 2^q / b \rfloor = 1864089$. Consider reducing $a = 180388626447$ modulo $b$ using the above reduction equation. The quotient using the new formula is $\lfloor (a \cdot \mu) / 2^q \rfloor = 152913$. @@ -3684,19 +5637,19 @@ By subtracting $152913b$ from $a$ the correct residue $a \equiv 677346 \mbox{ (m \subsection{Choosing a Radix Point} Using the fixed point representation a modular reduction can be performed with $3n^2$ single precision multiplications. If that were the best -that could be achieved a full division\footnote{A division requires approximately $O(2cn^2)$ single precision multiplications for a small value of $c$. +that could be achieved a full division\footnote{A division requires approximately $O(2cn^2)$ single precision multiplications for a small value of $c$. See~\ref{sec:division} for further details.} might as well be used in its place. The key to optimizing the reduction is to reduce the precision of -the initial multiplication that finds the quotient. +the initial multiplication that finds the quotient. Let $a$ represent the number of which the residue is sought. Let $b$ represent the modulus used to find the residue. Let $m$ represent -the number of digits in $b$. For the purposes of this discussion we will assume that the number of digits in $a$ is $2m$, which is generally true if -two $m$-digit numbers have been multiplied. Dividing $a$ by $b$ is the same as dividing a $2m$ digit integer by a $m$ digit integer. Digits below the +the number of digits in $b$. For the purposes of this discussion we will assume that the number of digits in $a$ is $2m$, which is generally true if +two $m$-digit numbers have been multiplied. Dividing $a$ by $b$ is the same as dividing a $2m$ digit integer by a $m$ digit integer. Digits below the $m - 1$'th digit of $a$ will contribute at most a value of $1$ to the quotient because $\beta^k < b$ for any $0 \le k \le m - 1$. Another way to -express this is by re-writing $a$ as two parts. If $a' \equiv a \mbox{ (mod }b^m\mbox{)}$ and $a'' = a - a'$ then +express this is by re-writing $a$ as two parts. If $a' \equiv a \mbox{ (mod }b^m\mbox{)}$ and $a'' = a - a'$ then ${a \over b} \equiv {{a' + a''} \over b}$ which is equivalent to ${a' \over b} + {a'' \over b}$. Since $a'$ is bound to be less than $b$ the quotient is bound by $0 \le {a' \over b} < 1$. -Since the digits of $a'$ do not contribute much to the quotient the observation is that they might as well be zero. However, if the digits +Since the digits of $a'$ do not contribute much to the quotient the observation is that they might as well be zero. However, if the digits ``might as well be zero'' they might as well not be there in the first place. Let $q_0 = \lfloor a/\beta^{m-1} \rfloor$ represent the input with the irrelevant digits trimmed. Now the modular reduction is trimmed to the almost equivalent equation @@ -3704,52 +5657,52 @@ with the irrelevant digits trimmed. Now the modular reduction is trimmed to the c = a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor \end{equation} -Note that the original divisor $2^q$ has been replaced with $\beta^{m+1}$ where in this case $q$ is a multiple of $lg(\beta)$. Also note that the -exponent on the divisor when added to the amount $q_0$ was shifted by equals $2m$. If the optimization had not been performed the divisor -would have the exponent $2m$ so in the end the exponents do ``add up''. Using the above equation the quotient +Note that the original divisor $2^q$ has been replaced with $\beta^{m+1}$ where in this case $q$ is a multiple of $lg(\beta)$. Also note that the +exponent on the divisor when added to the amount $q_0$ was shifted by equals $2m$. If the optimization had not been performed the divisor +would have the exponent $2m$ so in the end the exponents do ``add up''. Using the above equation the quotient $\lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ can be off from the true quotient by at most two. The original fixed point quotient can be off by as much as one (\textit{provided the radix point is chosen suitably}) and now that the lower irrelevent digits have been trimmed the quotient -can be off by an additional value of one for a total of at most two. This implies that -$0 \le a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor < 3b$. By first subtracting $b$ times the quotient and then conditionally subtracting +can be off by an additional value of one for a total of at most two. This implies that +$0 \le a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor < 3b$. By first subtracting $b$ times the quotient and then conditionally subtracting $b$ once or twice the residue is found. The quotient is now found using $(m + 1)(m) = m^2 + m$ single precision multiplications and the residue with an additional $m^2$ single -precision multiplications, ignoring the subtractions required. In total $2m^2 + m$ single precision multiplications are required to find the residue. +precision multiplications, ignoring the subtractions required. In total $2m^2 + m$ single precision multiplications are required to find the residue. This is considerably faster than the original attempt. -For example, let $\beta = 10$ represent the radix of the digits. Let $b = 9999$ represent the modulus which implies $m = 4$. Let $a = 99929878$ -represent the value of which the residue is desired. In this case $q = 8$ since $10^7 < 9999^2$ meaning that $\mu = \lfloor \beta^{q}/b \rfloor = 10001$. -With the new observation the multiplicand for the quotient is equal to $q_0 = \lfloor a / \beta^{m - 1} \rfloor = 99929$. The quotient is then -$\lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor = 9993$. Subtracting $9993b$ from $a$ and the correct residue $a \equiv 9871 \mbox{ (mod }b\mbox{)}$ -is found. +For example, let $\beta = 10$ represent the radix of the digits. Let $b = 9999$ represent the modulus which implies $m = 4$. Let $a = 99929878$ +represent the value of which the residue is desired. In this case $q = 8$ since $10^7 < 9999^2$ meaning that $\mu = \lfloor \beta^{q}/b \rfloor = 10001$. +With the new observation the multiplicand for the quotient is equal to $q_0 = \lfloor a / \beta^{m - 1} \rfloor = 99929$. The quotient is then +$\lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor = 9993$. Subtracting $9993b$ from $a$ and the correct residue $a \equiv 9871 \mbox{ (mod }b\mbox{)}$ +is found. \subsection{Trimming the Quotient} -So far the reduction algorithm has been optimized from $3m^2$ single precision multiplications down to $2m^2 + m$ single precision multiplications. As +So far the reduction algorithm has been optimized from $3m^2$ single precision multiplications down to $2m^2 + m$ single precision multiplications. As it stands now the algorithm is already fairly fast compared to a full integer division algorithm. However, there is still room for -optimization. +optimization. After the first multiplication inside the quotient ($q_0 \cdot \mu$) the value is shifted right by $m + 1$ places effectively nullifying the lower -half of the product. It would be nice to be able to remove those digits from the product to effectively cut down the number of single precision -multiplications. If the number of digits in the modulus $m$ is far less than $\beta$ a full product is not required for the algorithm to work properly. -In fact the lower $m - 2$ digits will not affect the upper half of the product at all and do not need to be computed. +half of the product. It would be nice to be able to remove those digits from the product to effectively cut down the number of single precision +multiplications. If the number of digits in the modulus $m$ is far less than $\beta$ a full product is not required for the algorithm to work properly. +In fact the lower $m - 2$ digits will not affect the upper half of the product at all and do not need to be computed. The value of $\mu$ is a $m$-digit number and $q_0$ is a $m + 1$ digit number. Using a full multiplier $(m + 1)(m) = m^2 + m$ single precision multiplications would be required. Using a multiplier that will only produce digits at and above the $m - 1$'th digit reduces the number -of single precision multiplications to ${m^2 + m} \over 2$ single precision multiplications. +of single precision multiplications to ${m^2 + m} \over 2$ single precision multiplications. \subsection{Trimming the Residue} After the quotient has been calculated it is used to reduce the input. As previously noted the algorithm is not exact and it can be off by a small -multiple of the modulus, that is $0 \le a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor < 3b$. If $b$ is $m$ digits than the +multiple of the modulus, that is $0 \le a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor < 3b$. If $b$ is $m$ digits than the result of reduction equation is a value of at most $m + 1$ digits (\textit{provided $3 < \beta$}) implying that the upper $m - 1$ digits are -implicitly zero. +implicitly zero. The next optimization arises from this very fact. Instead of computing $b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ using a full $O(m^2)$ multiplication algorithm only the lower $m+1$ digits of the product have to be computed. Similarly the value of $a$ can -be reduced modulo $\beta^{m+1}$ before the multiple of $b$ is subtracted which simplifes the subtraction as well. A multiplication that produces -only the lower $m+1$ digits requires ${m^2 + 3m - 2} \over 2$ single precision multiplications. +be reduced modulo $\beta^{m+1}$ before the multiple of $b$ is subtracted which simplifes the subtraction as well. A multiplication that produces +only the lower $m+1$ digits requires ${m^2 + 3m - 2} \over 2$ single precision multiplications. With both optimizations in place the algorithm is the algorithm Barrett proposed. It requires $m^2 + 2m - 1$ single precision multiplications which -is considerably faster than the straightforward $3m^2$ method. +is considerably faster than the straightforward $3m^2$ method. \subsection{The Barrett Algorithm} \newpage\begin{figure}[!here] @@ -3793,43 +5746,124 @@ Now subtract the modulus if the residue is too large (e.g. quotient too small). \textbf{Algorithm mp\_reduce.} This algorithm will reduce the input $a$ modulo $b$ in place using the Barrett algorithm. It is loosely based on algorithm 14.42 of HAC -\cite[pp. 602]{HAC} which is based on the paper from Paul Barrett \cite{BARRETT}. The algorithm has several restrictions and assumptions which must +\cite[pp. 602]{HAC} which is based on the paper from Paul Barrett \cite{BARRETT}. The algorithm has several restrictions and assumptions which must be adhered to for the algorithm to work. First the modulus $b$ is assumed to be positive and greater than one. If the modulus were less than or equal to one than subtracting a multiple of it would either accomplish nothing or actually enlarge the input. The input $a$ must be in the range $0 \le a < b^2$ in order for the quotient to have enough precision. If $a$ is the product of two numbers that were already reduced modulo $b$, this will not be a problem. -Technically the algorithm will still work if $a \ge b^2$ but it will take much longer to finish. The value of $\mu$ is passed as an argument to this -algorithm and is assumed to be calculated and stored before the algorithm is used. +Technically the algorithm will still work if $a \ge b^2$ but it will take much longer to finish. The value of $\mu$ is passed as an argument to this +algorithm and is assumed to be calculated and stored before the algorithm is used. -Recall that the multiplication for the quotient on step 3 must only produce digits at or above the $m-1$'th position. An algorithm called +Recall that the multiplication for the quotient on step 3 must only produce digits at or above the $m-1$'th position. An algorithm called $s\_mp\_mul\_high\_digs$ which has not been presented is used to accomplish this task. The algorithm is based on $s\_mp\_mul\_digs$ except that instead of stopping at a given level of precision it starts at a given level of precision. This optimal algorithm can only be used if the number -of digits in $b$ is very much smaller than $\beta$. +of digits in $b$ is very much smaller than $\beta$. -While it is known that -$a \ge b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ only the lower $m+1$ digits are being used to compute the residue, so an implied -``borrow'' from the higher digits might leave a negative result. After the multiple of the modulus has been subtracted from $a$ the residue must be -fixed up in case it is negative. The invariant $\beta^{m+1}$ must be added to the residue to make it positive again. +While it is known that +$a \ge b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ only the lower $m+1$ digits are being used to compute the residue, so an implied +``borrow'' from the higher digits might leave a negative result. After the multiple of the modulus has been subtracted from $a$ the residue must be +fixed up in case it is negative. The invariant $\beta^{m+1}$ must be added to the residue to make it positive again. -The while loop at step 9 will subtract $b$ until the residue is less than $b$. If the algorithm is performed correctly this step is +The while loop at step 9 will subtract $b$ until the residue is less than $b$. If the algorithm is performed correctly this step is performed at most twice, and on average once. However, if $a \ge b^2$ than it will iterate substantially more times than it should. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_reduce.c \vspace{-3mm} \begin{alltt} +016 +017 /* reduces x mod m, assumes 0 < x < m**2, mu is +018 * precomputed via mp_reduce_setup. +019 * From HAC pp.604 Algorithm 14.42 +020 */ +021 int mp_reduce (mp_int * x, mp_int * m, mp_int * mu) +022 \{ +023 mp_int q; +024 int res, um = m->used; +025 +026 /* q = x */ +027 if ((res = mp_init_copy (&q, x)) != MP_OKAY) \{ +028 return res; +029 \} +030 +031 /* q1 = x / b**(k-1) */ +032 mp_rshd (&q, um - 1); +033 +034 /* according to HAC this optimization is ok */ +035 if (((mp_digit) um) > (((mp_digit)1) << (DIGIT_BIT - 1))) \{ +036 if ((res = mp_mul (&q, mu, &q)) != MP_OKAY) \{ +037 goto CLEANUP; +038 \} +039 \} else \{ +040 #ifdef BN_S_MP_MUL_HIGH_DIGS_C +041 if ((res = s_mp_mul_high_digs (&q, mu, &q, um)) != MP_OKAY) \{ +042 goto CLEANUP; +043 \} +044 #elif defined(BN_FAST_S_MP_MUL_HIGH_DIGS_C) +045 if ((res = fast_s_mp_mul_high_digs (&q, mu, &q, um)) != MP_OKAY) \{ +046 goto CLEANUP; +047 \} +048 #else +049 \{ +050 res = MP_VAL; +051 goto CLEANUP; +052 \} +053 #endif +054 \} +055 +056 /* q3 = q2 / b**(k+1) */ +057 mp_rshd (&q, um + 1); +058 +059 /* x = x mod b**(k+1), quick (no division) */ +060 if ((res = mp_mod_2d (x, DIGIT_BIT * (um + 1), x)) != MP_OKAY) \{ +061 goto CLEANUP; +062 \} +063 +064 /* q = q * m mod b**(k+1), quick (no division) */ +065 if ((res = s_mp_mul_digs (&q, m, &q, um + 1)) != MP_OKAY) \{ +066 goto CLEANUP; +067 \} +068 +069 /* x = x - q */ +070 if ((res = mp_sub (x, &q, x)) != MP_OKAY) \{ +071 goto CLEANUP; +072 \} +073 +074 /* If x < 0, add b**(k+1) to it */ +075 if (mp_cmp_d (x, 0) == MP_LT) \{ +076 mp_set (&q, 1); +077 if ((res = mp_lshd (&q, um + 1)) != MP_OKAY) +078 goto CLEANUP; +079 if ((res = mp_add (x, &q, x)) != MP_OKAY) +080 goto CLEANUP; +081 \} +082 +083 /* Back off if it's too big */ +084 while (mp_cmp (x, m) != MP_LT) \{ +085 if ((res = s_mp_sub (x, m, x)) != MP_OKAY) \{ +086 goto CLEANUP; +087 \} +088 \} +089 +090 CLEANUP: +091 mp_clear (&q); +092 +093 return res; +094 \} +095 #endif +096 \end{alltt} \end{small} The first multiplication that determines the quotient can be performed by only producing the digits from $m - 1$ and up. This essentially halves the number of single precision multiplications required. However, the optimization is only safe if $\beta$ is much larger than the number of digits -in the modulus. In the source code this is evaluated on lines 36 to 44 where algorithm s\_mp\_mul\_high\_digs is used when it is -safe to do so. +in the modulus. In the source code this is evaluated on lines 36 to 43 where algorithm s\_mp\_mul\_high\_digs is used when it is +safe to do so. \subsection{The Barrett Setup Algorithm} In order to use algorithm mp\_reduce the value of $\mu$ must be calculated in advance. Ideally this value should be computed once and stored for -future use so that the Barrett algorithm can be used without delay. +future use so that the Barrett algorithm can be used without delay. \newpage\begin{figure}[!here] \begin{small} @@ -3857,28 +5891,43 @@ is equivalent and much faster. The final value is computed by taking the intege \hspace{-5.1mm}{\bf File}: bn\_mp\_reduce\_setup.c \vspace{-3mm} \begin{alltt} +016 +017 /* pre-calculate the value required for Barrett reduction +018 * For a given modulus "b" it calulates the value required in "a" +019 */ +020 int mp_reduce_setup (mp_int * a, mp_int * b) +021 \{ +022 int res; +023 +024 if ((res = mp_2expt (a, b->used * 2 * DIGIT_BIT)) != MP_OKAY) \{ +025 return res; +026 \} +027 return mp_div (a, b, a, NULL); +028 \} +029 #endif +030 \end{alltt} \end{small} This simple routine calculates the reciprocal $\mu$ required by Barrett reduction. Note the extended usage of algorithm mp\_div where the variable -which would received the remainder is passed as NULL. As will be discussed in~\ref{sec:division} the division routine allows both the quotient and the -remainder to be passed as NULL meaning to ignore the value. +which would received the remainder is passed as NULL. As will be discussed in~\ref{sec:division} the division routine allows both the quotient and the +remainder to be passed as NULL meaning to ignore the value. \section{The Montgomery Reduction} -Montgomery reduction\footnote{Thanks to Niels Ferguson for his insightful explanation of the algorithm.} \cite{MONT} is by far the most interesting -form of reduction in common use. It computes a modular residue which is not actually equal to the residue of the input yet instead equal to a -residue times a constant. However, as perplexing as this may sound the algorithm is relatively simple and very efficient. +Montgomery reduction\footnote{Thanks to Niels Ferguson for his insightful explanation of the algorithm.} \cite{MONT} is by far the most interesting +form of reduction in common use. It computes a modular residue which is not actually equal to the residue of the input yet instead equal to a +residue times a constant. However, as perplexing as this may sound the algorithm is relatively simple and very efficient. Throughout this entire section the variable $n$ will represent the modulus used to form the residue. As will be discussed shortly the value of $n$ must be odd. The variable $x$ will represent the quantity of which the residue is sought. Similar to the Barrett algorithm the input is restricted to $0 \le x < n^2$. To begin the description some simple number theory facts must be established. \textbf{Fact 1.} Adding $n$ to $x$ does not change the residue since in effect it adds one to the quotient $\lfloor x / n \rfloor$. Another way -to explain this is that $n$ is (\textit{or multiples of $n$ are}) congruent to zero modulo $n$. Adding zero will not change the value of the residue. +to explain this is that $n$ is (\textit{or multiples of $n$ are}) congruent to zero modulo $n$. Adding zero will not change the value of the residue. \textbf{Fact 2.} If $x$ is even then performing a division by two in $\Z$ is congruent to $x \cdot 2^{-1} \mbox{ (mod }n\mbox{)}$. Actually -this is an application of the fact that if $x$ is evenly divisible by any $k \in \Z$ then division in $\Z$ will be congruent to -multiplication by $k^{-1}$ modulo $n$. +this is an application of the fact that if $x$ is evenly divisible by any $k \in \Z$ then division in $\Z$ will be congruent to +multiplication by $k^{-1}$ modulo $n$. From these two simple facts the following simple algorithm can be derived. @@ -3904,8 +5953,8 @@ From these two simple facts the following simple algorithm can be derived. The algorithm reduces the input one bit at a time using the two congruencies stated previously. Inside the loop $n$, which is odd, is added to $x$ if $x$ is odd. This forces $x$ to be even which allows the division by two in $\Z$ to be congruent to a modular division by two. Since -$x$ is assumed to be initially much larger than $n$ the addition of $n$ will contribute an insignificant magnitude to $x$. Let $r$ represent the -final result of the Montgomery algorithm. If $k > lg(n)$ and $0 \le x < n^2$ then the final result is limited to +$x$ is assumed to be initially much larger than $n$ the addition of $n$ will contribute an insignificant magnitude to $x$. Let $r$ represent the +final result of the Montgomery algorithm. If $k > lg(n)$ and $0 \le x < n^2$ then the final result is limited to $0 \le r < \lfloor x/2^k \rfloor + n$. As a result at most a single subtraction is required to get the residue desired. \begin{figure}[here] @@ -3930,12 +5979,12 @@ $0 \le r < \lfloor x/2^k \rfloor + n$. As a result at most a single subtraction \label{fig:MONT1} \end{figure} -Consider the example in figure~\ref{fig:MONT1} which reduces $x = 5555$ modulo $n = 257$ when $k = 9$ (note $\beta^k = 512$ which is larger than $n$). The result of -the algorithm $r = 178$ is congruent to the value of $2^{-9} \cdot 5555 \mbox{ (mod }257\mbox{)}$. When $r$ is multiplied by $2^9$ modulo $257$ the correct residue -$r \equiv 158$ is produced. +Consider the example in figure~\ref{fig:MONT1} which reduces $x = 5555$ modulo $n = 257$ when $k = 9$ (note $\beta^k = 512$ which is larger than $n$). The result of +the algorithm $r = 178$ is congruent to the value of $2^{-9} \cdot 5555 \mbox{ (mod }257\mbox{)}$. When $r$ is multiplied by $2^9$ modulo $257$ the correct residue +$r \equiv 158$ is produced. Let $k = \lfloor lg(n) \rfloor + 1$ represent the number of bits in $n$. The current algorithm requires $2k^2$ single precision shifts -and $k^2$ single precision additions. At this rate the algorithm is most certainly slower than Barrett reduction and not terribly useful. +and $k^2$ single precision additions. At this rate the algorithm is most certainly slower than Barrett reduction and not terribly useful. Fortunately there exists an alternative representation of the algorithm. \begin{figure}[!here] @@ -3984,10 +6033,10 @@ precision shifts has now been reduced from $2k^2$ to $k^2 + k$ which is only a s \label{fig:MONT2} \end{figure} -Figure~\ref{fig:MONT2} demonstrates the modified algorithm reducing $x = 5555$ modulo $n = 257$ with $k = 9$. -With this algorithm a single shift right at the end is the only right shift required to reduce the input instead of $k$ right shifts inside the -loop. Note that for the iterations $t = 2, 5, 6$ and $8$ where the result $x$ is not changed. In those iterations the $t$'th bit of $x$ is -zero and the appropriate multiple of $n$ does not need to be added to force the $t$'th bit of the result to zero. +Figure~\ref{fig:MONT2} demonstrates the modified algorithm reducing $x = 5555$ modulo $n = 257$ with $k = 9$. +With this algorithm a single shift right at the end is the only right shift required to reduce the input instead of $k$ right shifts inside the +loop. Note that for the iterations $t = 2, 5, 6$ and $8$ where the result $x$ is not changed. In those iterations the $t$'th bit of $x$ is +zero and the appropriate multiple of $n$ does not need to be added to force the $t$'th bit of the result to zero. \subsection{Digit Based Montgomery Reduction} Instead of computing the reduction on a bit-by-bit basis it is actually much faster to compute it on digit-by-digit basis. Consider the @@ -4011,9 +6060,9 @@ previous algorithm re-written to compute the Montgomery reduction in this new fa \caption{Algorithm Montgomery Reduction (modified II)} \end{figure} -The value $\mu n \beta^t$ is a multiple of the modulus $n$ meaning that it will not change the residue. If the first digit of +The value $\mu n \beta^t$ is a multiple of the modulus $n$ meaning that it will not change the residue. If the first digit of the value $\mu n \beta^t$ equals the negative (modulo $\beta$) of the $t$'th digit of $x$ then the addition will result in a zero digit. This -problem breaks down to solving the following congruency. +problem breaks down to solving the following congruency. \begin{center} \begin{tabular}{rcl} @@ -4023,10 +6072,10 @@ $\mu$ & $\equiv$ & $-x_t/n_0 \mbox{ (mod }\beta\mbox{)}$ \\ \end{tabular} \end{center} -In each iteration of the loop on step 1 a new value of $\mu$ must be calculated. The value of $-1/n_0 \mbox{ (mod }\beta\mbox{)}$ is used -extensively in this algorithm and should be precomputed. Let $\rho$ represent the negative of the modular inverse of $n_0$ modulo $\beta$. +In each iteration of the loop on step 1 a new value of $\mu$ must be calculated. The value of $-1/n_0 \mbox{ (mod }\beta\mbox{)}$ is used +extensively in this algorithm and should be precomputed. Let $\rho$ represent the negative of the modular inverse of $n_0$ modulo $\beta$. -For example, let $\beta = 10$ represent the radix. Let $n = 17$ represent the modulus which implies $k = 2$ and $\rho \equiv 7$. Let $x = 33$ +For example, let $\beta = 10$ represent the radix. Let $n = 17$ represent the modulus which implies $k = 2$ and $\rho \equiv 7$. Let $x = 33$ represent the value to reduce. \newpage\begin{figure} @@ -4042,14 +6091,14 @@ represent the value to reduce. \caption{Example of Montgomery Reduction} \end{figure} -The final result $900$ is then divided by $\beta^k$ to produce the final result $9$. The first observation is that $9 \nequiv x \mbox{ (mod }n\mbox{)}$ +The final result $900$ is then divided by $\beta^k$ to produce the final result $9$. The first observation is that $9 \nequiv x \mbox{ (mod }n\mbox{)}$ which implies the result is not the modular residue of $x$ modulo $n$. However, recall that the residue is actually multiplied by $\beta^{-k}$ in the algorithm. To get the true residue the value must be multiplied by $\beta^k$. In this case $\beta^k \equiv 15 \mbox{ (mod }n\mbox{)}$ and -the correct residue is $9 \cdot 15 \equiv 16 \mbox{ (mod }n\mbox{)}$. +the correct residue is $9 \cdot 15 \equiv 16 \mbox{ (mod }n\mbox{)}$. \subsection{Baseline Montgomery Reduction} -The baseline Montgomery reduction algorithm will produce the residue for any size input. It is designed to be a catch-all algororithm for -Montgomery reductions. +The baseline Montgomery reduction algorithm will produce the residue for any size input. It is designed to be a catch-all algororithm for +Montgomery reductions. \newpage\begin{figure}[!here] \begin{small} @@ -4097,9 +6146,9 @@ Divide by $\beta^k$ and fix up as required. \\ \textbf{Algorithm mp\_montgomery\_reduce.} This algorithm reduces the input $x$ modulo $n$ in place using the Montgomery reduction algorithm. The algorithm is loosely based on algorithm 14.32 of \cite[pp.601]{HAC} except it merges the multiplication of $\mu n \beta^t$ with the addition in the inner loop. The -restrictions on this algorithm are fairly easy to adapt to. First $0 \le x < n^2$ bounds the input to numbers in the same range as +restrictions on this algorithm are fairly easy to adapt to. First $0 \le x < n^2$ bounds the input to numbers in the same range as for the Barrett algorithm. Additionally if $n > 1$ and $n$ is odd there will exist a modular inverse $\rho$. $\rho$ must be calculated in -advance of this algorithm. Finally the variable $k$ is fixed and a pseudonym for $n.used$. +advance of this algorithm. Finally the variable $k$ is fixed and a pseudonym for $n.used$. Step 2 decides whether a faster Montgomery algorithm can be used. It is based on the Comba technique meaning that there are limits on the size of the input. This algorithm is discussed in sub-section 6.3.3. @@ -4108,36 +6157,135 @@ Step 5 is the main reduction loop of the algorithm. The value of $\mu$ is calcu calculates $x + \mu n \beta^{ix}$ by multiplying $\mu n$ and adding the result to $x$ shifted by $ix$ digits. Both the addition and multiplication are performed in the same loop to save time and memory. Step 5.4 will handle any additional carries that escape the inner loop. -Using a quick inspection this algorithm requires $n$ single precision multiplications for the outer loop and $n^2$ single precision multiplications +Using a quick inspection this algorithm requires $n$ single precision multiplications for the outer loop and $n^2$ single precision multiplications in the inner loop. In total $n^2 + n$ single precision multiplications which compares favourably to Barrett at $n^2 + 2n - 1$ single precision -multiplications. +multiplications. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_montgomery\_reduce.c \vspace{-3mm} \begin{alltt} +016 +017 /* computes xR**-1 == x (mod N) via Montgomery Reduction */ +018 int +019 mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) +020 \{ +021 int ix, res, digs; +022 mp_digit mu; +023 +024 /* can the fast reduction [comba] method be used? +025 * +026 * Note that unlike in mul you're safely allowed *less* +027 * than the available columns [255 per default] since carries +028 * are fixed up in the inner loop. +029 */ +030 digs = (n->used * 2) + 1; +031 if ((digs < MP_WARRAY) && +032 (n->used < +033 (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) \{ +034 return fast_mp_montgomery_reduce (x, n, rho); +035 \} +036 +037 /* grow the input as required */ +038 if (x->alloc < digs) \{ +039 if ((res = mp_grow (x, digs)) != MP_OKAY) \{ +040 return res; +041 \} +042 \} +043 x->used = digs; +044 +045 for (ix = 0; ix < n->used; ix++) \{ +046 /* mu = ai * rho mod b +047 * +048 * The value of rho must be precalculated via +049 * montgomery_setup() such that +050 * it equals -1/n0 mod b this allows the +051 * following inner loop to reduce the +052 * input one digit at a time +053 */ +054 mu = (mp_digit) (((mp_word)x->dp[ix] * (mp_word)rho) & MP_MASK); +055 +056 /* a = a + mu * m * b**i */ +057 \{ +058 int iy; +059 mp_digit *tmpn, *tmpx, u; +060 mp_word r; +061 +062 /* alias for digits of the modulus */ +063 tmpn = n->dp; +064 +065 /* alias for the digits of x [the input] */ +066 tmpx = x->dp + ix; +067 +068 /* set the carry to zero */ +069 u = 0; +070 +071 /* Multiply and add in place */ +072 for (iy = 0; iy < n->used; iy++) \{ +073 /* compute product and sum */ +074 r = ((mp_word)mu * (mp_word)*tmpn++) + +075 (mp_word) u + (mp_word) *tmpx; +076 +077 /* get carry */ +078 u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); +079 +080 /* fix digit */ +081 *tmpx++ = (mp_digit)(r & ((mp_word) MP_MASK)); +082 \} +083 /* At this point the ix'th digit of x should be zero */ +084 +085 +086 /* propagate carries upwards as required*/ +087 while (u != 0) \{ +088 *tmpx += u; +089 u = *tmpx >> DIGIT_BIT; +090 *tmpx++ &= MP_MASK; +091 \} +092 \} +093 \} +094 +095 /* at this point the n.used'th least +096 * significant digits of x are all zero +097 * which means we can shift x to the +098 * right by n.used digits and the +099 * residue is unchanged. +100 */ +101 +102 /* x = x/b**n.used */ +103 mp_clamp(x); +104 mp_rshd (x, n->used); +105 +106 /* if x >= n then x = x - n */ +107 if (mp_cmp_mag (x, n) != MP_LT) \{ +108 return s_mp_sub (x, n, x); +109 \} +110 +111 return MP_OKAY; +112 \} +113 #endif +114 \end{alltt} \end{small} -This is the baseline implementation of the Montgomery reduction algorithm. Lines 31 to 36 determine if the Comba based -routine can be used instead. Line 47 computes the value of $\mu$ for that particular iteration of the outer loop. +This is the baseline implementation of the Montgomery reduction algorithm. Lines 30 to 35 determine if the Comba based +routine can be used instead. Line 48 computes the value of $\mu$ for that particular iteration of the outer loop. The multiplication $\mu n \beta^{ix}$ is performed in one step in the inner loop. The alias $tmpx$ refers to the $ix$'th digit of $x$ and -the alias $tmpn$ refers to the modulus $n$. +the alias $tmpn$ refers to the modulus $n$. \subsection{Faster ``Comba'' Montgomery Reduction} The Montgomery reduction requires fewer single precision multiplications than a Barrett reduction, however it is much slower due to the serial nature of the inner loop. The Barrett reduction algorithm requires two slightly modified multipliers which can be implemented with the Comba technique. The Montgomery reduction algorithm cannot directly use the Comba technique to any significant advantage since the inner loop calculates -a $k \times 1$ product $k$ times. +a $k \times 1$ product $k$ times. -The biggest obstacle is that at the $ix$'th iteration of the outer loop the value of $x_{ix}$ is required to calculate $\mu$. This means the -carries from $0$ to $ix - 1$ must have been propagated upwards to form a valid $ix$'th digit. The solution as it turns out is very simple. -Perform a Comba like multiplier and inside the outer loop just after the inner loop fix up the $ix + 1$'th digit by forwarding the carry. +The biggest obstacle is that at the $ix$'th iteration of the outer loop the value of $x_{ix}$ is required to calculate $\mu$. This means the +carries from $0$ to $ix - 1$ must have been propagated upwards to form a valid $ix$'th digit. The solution as it turns out is very simple. +Perform a Comba like multiplier and inside the outer loop just after the inner loop fix up the $ix + 1$'th digit by forwarding the carry. With this change in place the Montgomery reduction algorithm can be performed with a Comba style multiplication loop which substantially increases -the speed of the algorithm. +the speed of the algorithm. \newpage\begin{figure}[!here] \begin{small} @@ -4186,9 +6334,9 @@ Zero excess digits and fixup $x$. \\ \textbf{Algorithm fast\_mp\_montgomery\_reduce.} This algorithm will compute the Montgomery reduction of $x$ modulo $n$ using the Comba technique. It is on most computer platforms significantly faster than algorithm mp\_montgomery\_reduce and algorithm mp\_reduce (\textit{Barrett reduction}). The algorithm has the same restrictions -on the input as the baseline reduction algorithm. An additional two restrictions are imposed on this algorithm. The number of digits $k$ in the +on the input as the baseline reduction algorithm. An additional two restrictions are imposed on this algorithm. The number of digits $k$ in the the modulus $n$ must not violate $MP\_WARRAY > 2k +1$ and $n < \delta$. When $\beta = 2^{28}$ this algorithm can be used to reduce modulo -a modulus of at most $3,556$ bits in length. +a modulus of at most $3,556$ bits in length. As in the other Comba reduction algorithms there is a $\hat W$ array which stores the columns of the product. It is initially filled with the contents of $x$ with the excess digits zeroed. The reduction loop is very similar the to the baseline loop at heart. The multiplication on step @@ -4202,28 +6350,181 @@ how the upper bits of those same words are not reduced modulo $\beta$. This is point. Step 5 will propagate the remainder of the carries upwards. On step 6 the columns are reduced modulo $\beta$ and shifted simultaneously as they are -stored in the destination $x$. +stored in the destination $x$. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_fast\_mp\_montgomery\_reduce.c \vspace{-3mm} \begin{alltt} +016 +017 /* computes xR**-1 == x (mod N) via Montgomery Reduction +018 * +019 * This is an optimized implementation of montgomery_reduce +020 * which uses the comba method to quickly calculate the columns of the +021 * reduction. +022 * +023 * Based on Algorithm 14.32 on pp.601 of HAC. +024 */ +025 int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) +026 \{ +027 int ix, res, olduse; +028 mp_word W[MP_WARRAY]; +029 +030 /* get old used count */ +031 olduse = x->used; +032 +033 /* grow a as required */ +034 if (x->alloc < (n->used + 1)) \{ +035 if ((res = mp_grow (x, n->used + 1)) != MP_OKAY) \{ +036 return res; +037 \} +038 \} +039 +040 /* first we have to get the digits of the input into +041 * an array of double precision words W[...] +042 */ +043 \{ +044 mp_word *_W; +045 mp_digit *tmpx; +046 +047 /* alias for the W[] array */ +048 _W = W; +049 +050 /* alias for the digits of x*/ +051 tmpx = x->dp; +052 +053 /* copy the digits of a into W[0..a->used-1] */ +054 for (ix = 0; ix < x->used; ix++) \{ +055 *_W++ = *tmpx++; +056 \} +057 +058 /* zero the high words of W[a->used..m->used*2] */ +059 for (; ix < ((n->used * 2) + 1); ix++) \{ +060 *_W++ = 0; +061 \} +062 \} +063 +064 /* now we proceed to zero successive digits +065 * from the least significant upwards +066 */ +067 for (ix = 0; ix < n->used; ix++) \{ +068 /* mu = ai * m' mod b +069 * +070 * We avoid a double precision multiplication (which isn't required) +071 * by casting the value down to a mp_digit. Note this requires +072 * that W[ix-1] have the carry cleared (see after the inner loop) +073 */ +074 mp_digit mu; +075 mu = (mp_digit) (((W[ix] & MP_MASK) * rho) & MP_MASK); +076 +077 /* a = a + mu * m * b**i +078 * +079 * This is computed in place and on the fly. The multiplication +080 * by b**i is handled by offseting which columns the results +081 * are added to. +082 * +083 * Note the comba method normally doesn't handle carries in the +084 * inner loop In this case we fix the carry from the previous +085 * column since the Montgomery reduction requires digits of the +086 * result (so far) [see above] to work. This is +087 * handled by fixing up one carry after the inner loop. The +088 * carry fixups are done in order so after these loops the +089 * first m->used words of W[] have the carries fixed +090 */ +091 \{ +092 int iy; +093 mp_digit *tmpn; +094 mp_word *_W; +095 +096 /* alias for the digits of the modulus */ +097 tmpn = n->dp; +098 +099 /* Alias for the columns set by an offset of ix */ +100 _W = W + ix; +101 +102 /* inner loop */ +103 for (iy = 0; iy < n->used; iy++) \{ +104 *_W++ += ((mp_word)mu) * ((mp_word)*tmpn++); +105 \} +106 \} +107 +108 /* now fix carry for next digit, W[ix+1] */ +109 W[ix + 1] += W[ix] >> ((mp_word) DIGIT_BIT); +110 \} +111 +112 /* now we have to propagate the carries and +113 * shift the words downward [all those least +114 * significant digits we zeroed]. +115 */ +116 \{ +117 mp_digit *tmpx; +118 mp_word *_W, *_W1; +119 +120 /* nox fix rest of carries */ +121 +122 /* alias for current word */ +123 _W1 = W + ix; +124 +125 /* alias for next word, where the carry goes */ +126 _W = W + ++ix; +127 +128 for (; ix <= ((n->used * 2) + 1); ix++) \{ +129 *_W++ += *_W1++ >> ((mp_word) DIGIT_BIT); +130 \} +131 +132 /* copy out, A = A/b**n +133 * +134 * The result is A/b**n but instead of converting from an +135 * array of mp_word to mp_digit than calling mp_rshd +136 * we just copy them in the right order +137 */ +138 +139 /* alias for destination word */ +140 tmpx = x->dp; +141 +142 /* alias for shifted double precision result */ +143 _W = W + n->used; +144 +145 for (ix = 0; ix < (n->used + 1); ix++) \{ +146 *tmpx++ = (mp_digit)(*_W++ & ((mp_word) MP_MASK)); +147 \} +148 +149 /* zero oldused digits, if the input a was larger than +150 * m->used+1 we'll have to clear the digits +151 */ +152 for (; ix < olduse; ix++) \{ +153 *tmpx++ = 0; +154 \} +155 \} +156 +157 /* set the max used and clamp */ +158 x->used = n->used + 1; +159 mp_clamp (x); +160 +161 /* if A >= m then A = A - m */ +162 if (mp_cmp_mag (x, n) != MP_LT) \{ +163 return s_mp_sub (x, n, x); +164 \} +165 return MP_OKAY; +166 \} +167 #endif +168 \end{alltt} \end{small} -The $\hat W$ array is first filled with digits of $x$ on line 48 then the rest of the digits are zeroed on line 55. Both loops share -the same alias variables to make the code easier to read. +The $\hat W$ array is first filled with digits of $x$ on line 50 then the rest of the digits are zeroed on line 54. Both loops share +the same alias variables to make the code easier to read. The value of $\mu$ is calculated in an interesting fashion. First the value $\hat W_{ix}$ is reduced modulo $\beta$ and cast to a mp\_digit. This -forces the compiler to use a single precision multiplication and prevents any concerns about loss of precision. Line 110 fixes the carry +forces the compiler to use a single precision multiplication and prevents any concerns about loss of precision. Line 109 fixes the carry for the next iteration of the loop by propagating the carry from $\hat W_{ix}$ to $\hat W_{ix+1}$. -The for loop on line 109 propagates the rest of the carries upwards through the columns. The for loop on line 126 reduces the columns +The for loop on line 108 propagates the rest of the carries upwards through the columns. The for loop on line 125 reduces the columns modulo $\beta$ and shifts them $k$ places at the same time. The alias $\_ \hat W$ actually refers to the array $\hat W$ starting at the $n.used$'th -digit, that is $\_ \hat W_{t} = \hat W_{n.used + t}$. +digit, that is $\_ \hat W_{t} = \hat W_{n.used + t}$. \subsection{Montgomery Setup} -To calculate the variable $\rho$ a relatively simple algorithm will be required. +To calculate the variable $\rho$ a relatively simple algorithm will be required. \begin{figure}[!here] \begin{small} @@ -4244,22 +6545,62 @@ To calculate the variable $\rho$ a relatively simple algorithm will be required. \end{tabular} \end{center} \end{small} -\caption{Algorithm mp\_montgomery\_setup} +\caption{Algorithm mp\_montgomery\_setup} \end{figure} \textbf{Algorithm mp\_montgomery\_setup.} -This algorithm will calculate the value of $\rho$ required within the Montgomery reduction algorithms. It uses a very interesting trick -to calculate $1/n_0$ when $\beta$ is a power of two. +This algorithm will calculate the value of $\rho$ required within the Montgomery reduction algorithms. It uses a very interesting trick +to calculate $1/n_0$ when $\beta$ is a power of two. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_montgomery\_setup.c \vspace{-3mm} \begin{alltt} +016 +017 /* setups the montgomery reduction stuff */ +018 int +019 mp_montgomery_setup (mp_int * n, mp_digit * rho) +020 \{ +021 mp_digit x, b; +022 +023 /* fast inversion mod 2**k +024 * +025 * Based on the fact that +026 * +027 * XA = 1 (mod 2**n) => (X(2-XA)) A = 1 (mod 2**2n) +028 * => 2*X*A - X*X*A*A = 1 +029 * => 2*(1) - (1) = 1 +030 */ +031 b = n->dp[0]; +032 +033 if ((b & 1) == 0) \{ +034 return MP_VAL; +035 \} +036 +037 x = (((b + 2) & 4) << 1) + b; /* here x*a==1 mod 2**4 */ +038 x *= 2 - (b * x); /* here x*a==1 mod 2**8 */ +039 #if !defined(MP_8BIT) +040 x *= 2 - (b * x); /* here x*a==1 mod 2**16 */ +041 #endif +042 #if defined(MP_64BIT) || !(defined(MP_8BIT) || defined(MP_16BIT)) +043 x *= 2 - (b * x); /* here x*a==1 mod 2**32 */ +044 #endif +045 #ifdef MP_64BIT +046 x *= 2 - (b * x); /* here x*a==1 mod 2**64 */ +047 #endif +048 +049 /* rho = -1/m mod b */ +050 *rho = (mp_digit)(((mp_word)1 << ((mp_word) DIGIT_BIT)) - x) & MP_MASK; +051 +052 return MP_OKAY; +053 \} +054 #endif +055 \end{alltt} \end{small} This source code computes the value of $\rho$ required to perform Montgomery reduction. It has been modified to avoid performing excess -multiplications when $\beta$ is not the default 28-bits. +multiplications when $\beta$ is not the default 28-bits. \section{The Diminished Radix Algorithm} The Diminished Radix method of modular reduction \cite{DRMET} is a fairly clever technique which can be more efficient than either the Barrett @@ -4269,7 +6610,7 @@ or Montgomery methods for certain forms of moduli. The technique is based on th (x \mbox{ mod } n) + k \lfloor x / n \rfloor \equiv x \mbox{ (mod }(n - k)\mbox{)} \end{equation} -This observation was used in the MMB \cite{MMB} block cipher to create a diffusion primitive. It used the fact that if $n = 2^{31}$ and $k=1$ that +This observation was used in the MMB \cite{MMB} block cipher to create a diffusion primitive. It used the fact that if $n = 2^{31}$ and $k=1$ that then a x86 multiplier could produce the 62-bit product and use the ``shrd'' instruction to perform a double-precision right shift. The proof of the above equation is very simple. First write $x$ in the product form. @@ -4283,7 +6624,7 @@ Now reduce both sides modulo $(n - k)$. x \equiv qk + r \mbox{ (mod }(n-k)\mbox{)} \end{equation} -The variable $n$ reduces modulo $n - k$ to $k$. By putting $q = \lfloor x/n \rfloor$ and $r = x \mbox{ mod } n$ +The variable $n$ reduces modulo $n - k$ to $k$. By putting $q = \lfloor x/n \rfloor$ and $r = x \mbox{ mod } n$ into the equation the original congruence is reproduced, thus concluding the proof. The following algorithm is based on this observation. \begin{figure}[!here] @@ -4313,7 +6654,7 @@ into the equation the original congruence is reproduced, thus concluding the pro This algorithm will reduce $x$ modulo $n - k$ and return the residue. If $0 \le x < (n - k)^2$ then the algorithm will loop almost always once or twice and occasionally three times. For simplicity sake the value of $x$ is bounded by the following simple polynomial. -\begin{equation} +\begin{equation} 0 \le x < n^2 + k^2 - 2nk \end{equation} @@ -4324,15 +6665,15 @@ q < n - 2k - k^2/n \end{equation} Since $k^2$ is going to be considerably smaller than $n$ that term will always be zero. The value of $x$ after step 3 is bounded trivially as -$0 \le x < n$. By step four the sum $x + q$ is bounded by +$0 \le x < n$. By step four the sum $x + q$ is bounded by \begin{equation} 0 \le q + x < (k + 1)n - 2k^2 - 1 \end{equation} With a second pass $q$ will be loosely bounded by $0 \le q < k^2$ after step 2 while $x$ will still be loosely bounded by $0 \le x < n$ after step 3. After the second pass it is highly unlike that the -sum in step 4 will exceed $n - k$. In practice fewer than three passes of the algorithm are required to reduce virtually every input in the -range $0 \le x < (n - k - 1)^2$. +sum in step 4 will exceed $n - k$. In practice fewer than three passes of the algorithm are required to reduce virtually every input in the +range $0 \le x < (n - k - 1)^2$. \begin{figure} \begin{small} @@ -4345,13 +6686,13 @@ $q \leftarrow q*k = 1446759$ \\ $x \leftarrow x \mbox{ mod } n = 21$ \\ $x \leftarrow x + q = 1446780$ \\ $x \leftarrow x - (n - k) = 1446527$ \\ -\hline +\hline $q \leftarrow \lfloor x/n \rfloor = 5650$ \\ $q \leftarrow q*k = 16950$ \\ $x \leftarrow x \mbox{ mod } n = 127$ \\ $x \leftarrow x + q = 17077$ \\ $x \leftarrow x - (n - k) = 16824$ \\ -\hline +\hline $q \leftarrow \lfloor x/n \rfloor = 65$ \\ $q \leftarrow q*k = 195$ \\ $x \leftarrow x \mbox{ mod } n = 184$ \\ @@ -4374,29 +6715,29 @@ three passes were required to find the residue $x \equiv 126$. On the surface this algorithm looks like a very expensive algorithm. It requires a couple of subtractions followed by multiplication and other modular reductions. The usefulness of this algorithm becomes exceedingly clear when an appropriate modulus is chosen. -Division in general is a very expensive operation to perform. The one exception is when the division is by a power of the radix of representation used. -Division by ten for example is simple for pencil and paper mathematics since it amounts to shifting the decimal place to the right. Similarly division -by two (\textit{or powers of two}) is very simple for binary computers to perform. It would therefore seem logical to choose $n$ of the form $2^p$ -which would imply that $\lfloor x / n \rfloor$ is a simple shift of $x$ right $p$ bits. +Division in general is a very expensive operation to perform. The one exception is when the division is by a power of the radix of representation used. +Division by ten for example is simple for pencil and paper mathematics since it amounts to shifting the decimal place to the right. Similarly division +by two (\textit{or powers of two}) is very simple for binary computers to perform. It would therefore seem logical to choose $n$ of the form $2^p$ +which would imply that $\lfloor x / n \rfloor$ is a simple shift of $x$ right $p$ bits. -However, there is one operation related to division of power of twos that is even faster than this. If $n = \beta^p$ then the division may be -performed by moving whole digits to the right $p$ places. In practice division by $\beta^p$ is much faster than division by $2^p$ for any $p$. -Also with the choice of $n = \beta^p$ reducing $x$ modulo $n$ merely requires zeroing the digits above the $p-1$'th digit of $x$. +However, there is one operation related to division of power of twos that is even faster than this. If $n = \beta^p$ then the division may be +performed by moving whole digits to the right $p$ places. In practice division by $\beta^p$ is much faster than division by $2^p$ for any $p$. +Also with the choice of $n = \beta^p$ reducing $x$ modulo $n$ merely requires zeroing the digits above the $p-1$'th digit of $x$. Throughout the next section the term ``restricted modulus'' will refer to a modulus of the form $\beta^p - k$ whereas the term ``unrestricted -modulus'' will refer to a modulus of the form $2^p - k$. The word ``restricted'' in this case refers to the fact that it is based on the -$2^p$ logic except $p$ must be a multiple of $lg(\beta)$. +modulus'' will refer to a modulus of the form $2^p - k$. The word ``restricted'' in this case refers to the fact that it is based on the +$2^p$ logic except $p$ must be a multiple of $lg(\beta)$. \subsection{Choice of $k$} Now that division and reduction (\textit{step 1 and 3 of figure~\ref{fig:DR}}) have been optimized to simple digit operations the multiplication by $k$ in step 2 is the most expensive operation. Fortunately the choice of $k$ is not terribly limited. For all intents and purposes it might -as well be a single digit. The smaller the value of $k$ is the faster the algorithm will be. +as well be a single digit. The smaller the value of $k$ is the faster the algorithm will be. \subsection{Restricted Diminished Radix Reduction} -The restricted Diminished Radix algorithm can quickly reduce an input modulo a modulus of the form $n = \beta^p - k$. This algorithm can reduce +The restricted Diminished Radix algorithm can quickly reduce an input modulo a modulus of the form $n = \beta^p - k$. This algorithm can reduce an input $x$ within the range $0 \le x < n^2$ using only a couple passes of the algorithm demonstrated in figure~\ref{fig:DR}. The implementation -of this algorithm has been optimized to avoid additional overhead associated with a division by $\beta^p$, the multiplication by $k$ or the addition -of $x$ and $q$. The resulting algorithm is very efficient and can lead to substantial improvements over Barrett and Montgomery reduction when modular +of this algorithm has been optimized to avoid additional overhead associated with a division by $\beta^p$, the multiplication by $k$ or the addition +of $x$ and $q$. The resulting algorithm is very efficient and can lead to substantial improvements over Barrett and Montgomery reduction when modular exponentiations are performed. \newpage\begin{figure}[!here] @@ -4432,37 +6773,114 @@ exponentiations are performed. \textbf{Algorithm mp\_dr\_reduce.} This algorithm will perform the Dimished Radix reduction of $x$ modulo $n$. It has similar restrictions to that of the Barrett reduction -with the addition that $n$ must be of the form $n = \beta^m - k$ where $0 < k <\beta$. +with the addition that $n$ must be of the form $n = \beta^m - k$ where $0 < k <\beta$. This algorithm essentially implements the pseudo-code in figure~\ref{fig:DR} except with a slight optimization. The division by $\beta^m$, multiplication by $k$ and addition of $x \mbox{ mod }\beta^m$ are all performed simultaneously inside the loop on step 4. The division by $\beta^m$ is emulated by accessing the term at the $m+i$'th position which is subsequently multiplied by $k$ and added to the term at the $i$'th position. After the loop the $m$'th -digit is set to the carry and the upper digits are zeroed. Steps 5 and 6 emulate the reduction modulo $\beta^m$ that should have happend to -$x$ before the addition of the multiple of the upper half. +digit is set to the carry and the upper digits are zeroed. Steps 5 and 6 emulate the reduction modulo $\beta^m$ that should have happend to +$x$ before the addition of the multiple of the upper half. At step 8 if $x$ is still larger than $n$ another pass of the algorithm is required. First $n$ is subtracted from $x$ and then the algorithm resumes -at step 3. +at step 3. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_dr\_reduce.c \vspace{-3mm} \begin{alltt} +016 +017 /* reduce "x" in place modulo "n" using the Diminished Radix algorithm. +018 * +019 * Based on algorithm from the paper +020 * +021 * "Generating Efficient Primes for Discrete Log Cryptosystems" +022 * Chae Hoon Lim, Pil Joong Lee, +023 * POSTECH Information Research Laboratories +024 * +025 * The modulus must be of a special format [see manual] +026 * +027 * Has been modified to use algorithm 7.10 from the LTM book instead +028 * +029 * Input x must be in the range 0 <= x <= (n-1)**2 +030 */ +031 int +032 mp_dr_reduce (mp_int * x, mp_int * n, mp_digit k) +033 \{ +034 int err, i, m; +035 mp_word r; +036 mp_digit mu, *tmpx1, *tmpx2; +037 +038 /* m = digits in modulus */ +039 m = n->used; +040 +041 /* ensure that "x" has at least 2m digits */ +042 if (x->alloc < (m + m)) \{ +043 if ((err = mp_grow (x, m + m)) != MP_OKAY) \{ +044 return err; +045 \} +046 \} +047 +048 /* top of loop, this is where the code resumes if +049 * another reduction pass is required. +050 */ +051 top: +052 /* aliases for digits */ +053 /* alias for lower half of x */ +054 tmpx1 = x->dp; +055 +056 /* alias for upper half of x, or x/B**m */ +057 tmpx2 = x->dp + m; +058 +059 /* set carry to zero */ +060 mu = 0; +061 +062 /* compute (x mod B**m) + k * [x/B**m] inline and inplace */ +063 for (i = 0; i < m; i++) \{ +064 r = (((mp_word)*tmpx2++) * (mp_word)k) + *tmpx1 + mu; +065 *tmpx1++ = (mp_digit)(r & MP_MASK); +066 mu = (mp_digit)(r >> ((mp_word)DIGIT_BIT)); +067 \} +068 +069 /* set final carry */ +070 *tmpx1++ = mu; +071 +072 /* zero words above m */ +073 for (i = m + 1; i < x->used; i++) \{ +074 *tmpx1++ = 0; +075 \} +076 +077 /* clamp, sub and return */ +078 mp_clamp (x); +079 +080 /* if x >= n then subtract and reduce again +081 * Each successive "recursion" makes the input smaller and smaller. +082 */ +083 if (mp_cmp_mag (x, n) != MP_LT) \{ +084 if ((err = s_mp_sub(x, n, x)) != MP_OKAY) \{ +085 return err; +086 \} +087 goto top; +088 \} +089 return MP_OKAY; +090 \} +091 #endif +092 \end{alltt} \end{small} -The first step is to grow $x$ as required to $2m$ digits since the reduction is performed in place on $x$. The label on line 52 is where +The first step is to grow $x$ as required to $2m$ digits since the reduction is performed in place on $x$. The label on line 51 is where the algorithm will resume if further reduction passes are required. In theory it could be placed at the top of the function however, the size of -the modulus and question of whether $x$ is large enough are invariant after the first pass meaning that it would be a waste of time. +the modulus and question of whether $x$ is large enough are invariant after the first pass meaning that it would be a waste of time. The aliases $tmpx1$ and $tmpx2$ refer to the digits of $x$ where the latter is offset by $m$ digits. By reading digits from $x$ offset by $m$ digits -a division by $\beta^m$ can be simulated virtually for free. The loop on line 64 performs the bulk of the work (\textit{corresponds to step 4 of algorithm 7.11}) +a division by $\beta^m$ can be simulated virtually for free. The loop on line 63 performs the bulk of the work (\textit{corresponds to step 4 of algorithm 7.11}) in this algorithm. -By line 67 the pointer $tmpx1$ points to the $m$'th digit of $x$ which is where the final carry will be placed. Similarly by line 74 the -same pointer will point to the $m+1$'th digit where the zeroes will be placed. +By line 70 the pointer $tmpx1$ points to the $m$'th digit of $x$ which is where the final carry will be placed. Similarly by line 73 the +same pointer will point to the $m+1$'th digit where the zeroes will be placed. -Since the algorithm is only valid if both $x$ and $n$ are greater than zero an unsigned comparison suffices to determine if another pass is required. -With the same logic at line 81 the value of $x$ is known to be greater than or equal to $n$ meaning that an unsigned subtraction can be used +Since the algorithm is only valid if both $x$ and $n$ are greater than zero an unsigned comparison suffices to determine if another pass is required. +With the same logic at line 84 the value of $x$ is known to be greater than or equal to $n$ meaning that an unsigned subtraction can be used as well. Since the destination of the subtraction is the larger of the inputs the call to algorithm s\_mp\_sub cannot fail and the return code does not need to be checked. @@ -4490,6 +6908,19 @@ completeness. \hspace{-5.1mm}{\bf File}: bn\_mp\_dr\_setup.c \vspace{-3mm} \begin{alltt} +016 +017 /* determines the setup value */ +018 void mp_dr_setup(mp_int *a, mp_digit *d) +019 \{ +020 /* the casts are required if DIGIT_BIT is one less than +021 * the number of bits in a mp_digit [e.g. DIGIT_BIT==31] +022 */ +023 *d = (mp_digit)((((mp_word)1) << ((mp_word)DIGIT_BIT)) - +024 ((mp_word)a->dp[0])); +025 \} +026 +027 #endif +028 \end{alltt} \end{small} @@ -4525,6 +6956,30 @@ step 3 then $n$ must be of Diminished Radix form. \hspace{-5.1mm}{\bf File}: bn\_mp\_dr\_is\_modulus.c \vspace{-3mm} \begin{alltt} +016 +017 /* determines if a number is a valid DR modulus */ +018 int mp_dr_is_modulus(mp_int *a) +019 \{ +020 int ix; +021 +022 /* must be at least two digits */ +023 if (a->used < 2) \{ +024 return 0; +025 \} +026 +027 /* must be of the form b**k - a [a <= b] so all +028 * but the first digit must be equal to -1 (mod b). +029 */ +030 for (ix = 1; ix < a->used; ix++) \{ +031 if (a->dp[ix] != MP_MASK) \{ +032 return 0; +033 \} +034 \} +035 return 1; +036 \} +037 +038 #endif +039 \end{alltt} \end{small} @@ -4562,25 +7017,69 @@ algorithm is much faster than either Montgomery or Barrett reduction when the mo \textbf{Algorithm mp\_reduce\_2k.} This algorithm quickly reduces an input $a$ modulo an unrestricted Diminished Radix modulus $n$. Division by $2^p$ is emulated with a right -shift which makes the algorithm fairly inexpensive to use. +shift which makes the algorithm fairly inexpensive to use. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_reduce\_2k.c \vspace{-3mm} \begin{alltt} +016 +017 /* reduces a modulo n where n is of the form 2**p - d */ +018 int mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d) +019 \{ +020 mp_int q; +021 int p, res; +022 +023 if ((res = mp_init(&q)) != MP_OKAY) \{ +024 return res; +025 \} +026 +027 p = mp_count_bits(n); +028 top: +029 /* q = a/2**p, a = a mod 2**p */ +030 if ((res = mp_div_2d(a, p, &q, a)) != MP_OKAY) \{ +031 goto ERR; +032 \} +033 +034 if (d != 1) \{ +035 /* q = q * d */ +036 if ((res = mp_mul_d(&q, d, &q)) != MP_OKAY) \{ +037 goto ERR; +038 \} +039 \} +040 +041 /* a = a + q */ +042 if ((res = s_mp_add(a, &q, a)) != MP_OKAY) \{ +043 goto ERR; +044 \} +045 +046 if (mp_cmp_mag(a, n) != MP_LT) \{ +047 if ((res = s_mp_sub(a, n, a)) != MP_OKAY) \{ +048 goto ERR; +049 \} +050 goto top; +051 \} +052 +053 ERR: +054 mp_clear(&q); +055 return res; +056 \} +057 +058 #endif +059 \end{alltt} \end{small} The algorithm mp\_count\_bits calculates the number of bits in an mp\_int which is used to find the initial value of $p$. The call to mp\_div\_2d -on line 31 calculates both the quotient $q$ and the remainder $a$ required. By doing both in a single function call the code size +on line 30 calculates both the quotient $q$ and the remainder $a$ required. By doing both in a single function call the code size is kept fairly small. The multiplication by $k$ is only performed if $k > 1$. This allows reductions modulo $2^p - 1$ to be performed without -any multiplications. +any multiplications. -The unsigned s\_mp\_add, mp\_cmp\_mag and s\_mp\_sub are used in place of their full sign counterparts since the inputs are only valid if they are -positive. By using the unsigned versions the overhead is kept to a minimum. +The unsigned s\_mp\_add, mp\_cmp\_mag and s\_mp\_sub are used in place of their full sign counterparts since the inputs are only valid if they are +positive. By using the unsigned versions the overhead is kept to a minimum. \subsubsection{Unrestricted Setup} -To setup this reduction algorithm the value of $k = 2^p - n$ is required. +To setup this reduction algorithm the value of $k = 2^p - n$ is required. \begin{figure}[!here] \begin{small} @@ -4604,12 +7103,40 @@ To setup this reduction algorithm the value of $k = 2^p - n$ is required. \textbf{Algorithm mp\_reduce\_2k\_setup.} This algorithm computes the value of $k$ required for the algorithm mp\_reduce\_2k. By making a temporary variable $x$ equal to $2^p$ a subtraction -is sufficient to solve for $k$. Alternatively if $n$ has more than one digit the value of $k$ is simply $\beta - n_0$. +is sufficient to solve for $k$. Alternatively if $n$ has more than one digit the value of $k$ is simply $\beta - n_0$. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_reduce\_2k\_setup.c \vspace{-3mm} \begin{alltt} +016 +017 /* determines the setup value */ +018 int mp_reduce_2k_setup(mp_int *a, mp_digit *d) +019 \{ +020 int res, p; +021 mp_int tmp; +022 +023 if ((res = mp_init(&tmp)) != MP_OKAY) \{ +024 return res; +025 \} +026 +027 p = mp_count_bits(a); +028 if ((res = mp_2expt(&tmp, p)) != MP_OKAY) \{ +029 mp_clear(&tmp); +030 return res; +031 \} +032 +033 if ((res = s_mp_sub(&tmp, a, &tmp)) != MP_OKAY) \{ +034 mp_clear(&tmp); +035 return res; +036 \} +037 +038 *d = tmp.dp[0]; +039 mp_clear(&tmp); +040 return MP_OKAY; +041 \} +042 #endif +043 \end{alltt} \end{small} @@ -4648,12 +7175,45 @@ significant bit. The resulting sum will be a power of two. \end{figure} \textbf{Algorithm mp\_reduce\_is\_2k.} -This algorithm quickly determines if a modulus is of the form required for algorithm mp\_reduce\_2k to function properly. +This algorithm quickly determines if a modulus is of the form required for algorithm mp\_reduce\_2k to function properly. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_reduce\_is\_2k.c \vspace{-3mm} \begin{alltt} +016 +017 /* determines if mp_reduce_2k can be used */ +018 int mp_reduce_is_2k(mp_int *a) +019 \{ +020 int ix, iy, iw; +021 mp_digit iz; +022 +023 if (a->used == 0) \{ +024 return MP_NO; +025 \} else if (a->used == 1) \{ +026 return MP_YES; +027 \} else if (a->used > 1) \{ +028 iy = mp_count_bits(a); +029 iz = 1; +030 iw = 1; +031 +032 /* Test every bit from the second digit up, must be 1 */ +033 for (ix = DIGIT_BIT; ix < iy; ix++) \{ +034 if ((a->dp[iw] & iz) == 0) \{ +035 return MP_NO; +036 \} +037 iz <<= 1; +038 if (iz > (mp_digit)MP_MASK) \{ +039 ++iw; +040 iz = 1; +041 \} +042 \} +043 \} +044 return MP_YES; +045 \} +046 +047 #endif +048 \end{alltt} \end{small} @@ -4662,7 +7222,7 @@ This algorithm quickly determines if a modulus is of the form required for algor \section{Algorithm Comparison} So far three very different algorithms for modular reduction have been discussed. Each of the algorithms have their own strengths and weaknesses that makes having such a selection very useful. The following table sumarizes the three algorithms along with comparisons of work factors. Since -all three algorithms have the restriction that $0 \le x < n^2$ and $n > 1$ those limitations are not included in the table. +all three algorithms have the restriction that $0 \le x < n^2$ and $n > 1$ those limitations are not included in the table. \begin{center} \begin{small} @@ -4698,12 +7258,12 @@ $\left [ 4 \right ]$ & Prove that the pseudo-code algorithm ``Diminished Radix R & (\textit{figure~\ref{fig:DR}}) terminates. Also prove the probability that it will \\ & terminate within $1 \le k \le 10$ iterations. \\ & \\ -\end{tabular} +\end{tabular} \chapter{Exponentiation} Exponentiation is the operation of raising one variable to the power of another, for example, $a^b$. A variant of exponentiation, computed -in a finite field or ring, is called modular exponentiation. This latter style of operation is typically used in public key +in a finite field or ring, is called modular exponentiation. This latter style of operation is typically used in public key cryptosystems such as RSA and Diffie-Hellman. The ability to quickly compute modular exponentiations is of great benefit to any such cryptosystem and many methods have been sought to speed it up. @@ -4713,7 +7273,7 @@ the number of multiplications becomes prohibitive. Imagine what would happen if with a $1024$-bit key. Such a calculation could never be completed as it would take simply far too long. Fortunately there is a very simple algorithm based on the laws of exponents. Recall that $lg_a(a^b) = b$ and that $lg_a(a^ba^c) = b + c$ which -are two trivial relationships between the base and the exponent. Let $b_i$ represent the $i$'th bit of $b$ starting from the least +are two trivial relationships between the base and the exponent. Let $b_i$ represent the $i$'th bit of $b$ starting from the least significant bit. If $b$ is a $k$-bit integer than the following equation is true. \begin{equation} @@ -4730,7 +7290,7 @@ The term $a^{2^i}$ can be found from the $i - 1$'th term by squaring the term si $a^{2^{i+1}}$. This observation forms the basis of essentially all fast exponentiation algorithms. It requires $k$ squarings and on average $k \over 2$ multiplications to compute the result. This is indeed quite an improvement over simply multiplying by $a$ a total of $b-1$ times. -While this current method is a considerable speed up there are further improvements to be made. For example, the $a^{2^i}$ term does not need to +While this current method is a considerable speed up there are further improvements to be made. For example, the $a^{2^i}$ term does not need to be computed in an auxilary variable. Consider the following equivalent algorithm. \begin{figure}[!here] @@ -4756,7 +7316,7 @@ be computed in an auxilary variable. Consider the following equivalent algorith This algorithm starts from the most significant bit and works towards the least significant bit. When the $i$'th bit of $b$ is set $a$ is multiplied against the current product. In each iteration the product is squared which doubles the exponent of the individual terms of the -product. +product. For example, let $b = 101100_2 \equiv 44_{10}$. The following chart demonstrates the actions of the algorithm. @@ -4777,13 +7337,13 @@ For example, let $b = 101100_2 \equiv 44_{10}$. The following chart demonstrate \caption{Example of Left to Right Exponentiation} \end{figure} -When the product $a^{32} \cdot a^8 \cdot a^4$ is simplified it is equal $a^{44}$ which is the desired exponentiation. This particular algorithm is -called ``Left to Right'' because it reads the exponent in that order. All of the exponentiation algorithms that will be presented are of this nature. +When the product $a^{32} \cdot a^8 \cdot a^4$ is simplified it is equal $a^{44}$ which is the desired exponentiation. This particular algorithm is +called ``Left to Right'' because it reads the exponent in that order. All of the exponentiation algorithms that will be presented are of this nature. \subsection{Single Digit Exponentiation} -The first algorithm in the series of exponentiation algorithms will be an unbounded algorithm where the exponent is a single digit. It is intended -to be used when a small power of an input is required (\textit{e.g. $a^5$}). It is faster than simply multiplying $b - 1$ times for all values of -$b$ that are greater than three. +The first algorithm in the series of exponentiation algorithms will be an unbounded algorithm where the exponent is a single digit. It is intended +to be used when a small power of an input is required (\textit{e.g. $a^5$}). It is faster than simply multiplying $b - 1$ times for all values of +$b$ that are greater than three. \newpage\begin{figure}[!here] \begin{small} @@ -4811,10 +7371,10 @@ $b$ that are greater than three. \textbf{Algorithm mp\_expt\_d.} This algorithm computes the value of $a$ raised to the power of a single digit $b$. It uses the left to right exponentiation algorithm to -quickly compute the exponentiation. It is loosely based on algorithm 14.79 of HAC \cite[pp. 615]{HAC} with the difference that the -exponent is a fixed width. +quickly compute the exponentiation. It is loosely based on algorithm 14.79 of HAC \cite[pp. 615]{HAC} with the difference that the +exponent is a fixed width. -A copy of $a$ is made first to allow destination variable $c$ be the same as the source variable $a$. The result is set to the initial value of +A copy of $a$ is made first to allow destination variable $c$ be the same as the source variable $a$. The result is set to the initial value of $1$ in the subsequent step. Inside the loop the exponent is read from the most significant bit first down to the least significant bit. First $c$ is invariably squared @@ -4823,16 +7383,80 @@ of $b$ is shifted left one bit to make the next bit down from the most signfican iteration of the loop moves the bits of the exponent $b$ upwards to the most significant location. \vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_expt\_d.c +\hspace{-5.1mm}{\bf File}: bn\_mp\_expt\_d\_ex.c \vspace{-3mm} \begin{alltt} +016 +017 /* calculate c = a**b using a square-multiply algorithm */ +018 int mp_expt_d_ex (mp_int * a, mp_digit b, mp_int * c, int fast) +019 \{ +020 int res; +021 unsigned int x; +022 +023 mp_int g; +024 +025 if ((res = mp_init_copy (&g, a)) != MP_OKAY) \{ +026 return res; +027 \} +028 +029 /* set initial result */ +030 mp_set (c, 1); +031 +032 if (fast != 0) \{ +033 while (b > 0) \{ +034 /* if the bit is set multiply */ +035 if ((b & 1) != 0) \{ +036 if ((res = mp_mul (c, &g, c)) != MP_OKAY) \{ +037 mp_clear (&g); +038 return res; +039 \} +040 \} +041 +042 /* square */ +043 if (b > 1) \{ +044 if ((res = mp_sqr (&g, &g)) != MP_OKAY) \{ +045 mp_clear (&g); +046 return res; +047 \} +048 \} +049 +050 /* shift to next bit */ +051 b >>= 1; +052 \} +053 \} +054 else \{ +055 for (x = 0; x < DIGIT_BIT; x++) \{ +056 /* square */ +057 if ((res = mp_sqr (c, c)) != MP_OKAY) \{ +058 mp_clear (&g); +059 return res; +060 \} +061 +062 /* if the bit is set multiply */ +063 if ((b & (mp_digit) (((mp_digit)1) << (DIGIT_BIT - 1))) != 0) \{ +064 if ((res = mp_mul (c, &g, c)) != MP_OKAY) \{ +065 mp_clear (&g); +066 return res; +067 \} +068 \} +069 +070 /* shift to next bit */ +071 b <<= 1; +072 \} +073 \} /* if ... else */ +074 +075 mp_clear (&g); +076 return MP_OKAY; +077 \} +078 #endif +079 \end{alltt} \end{small} -Line 29 sets the initial value of the result to $1$. Next the loop on line 31 steps through each bit of the exponent starting from -the most significant down towards the least significant. The invariant squaring operation placed on line 33 is performed first. After +This describes only the algorithm that is used when the parameter $fast$ is $0$. Line 30 sets the initial value of the result to $1$. Next the loop on line 55 steps through each bit of the exponent starting from +the most significant down towards the least significant. The invariant squaring operation placed on line 57 is performed first. After the squaring the result $c$ is multiplied by the base $g$ if and only if the most significant bit of the exponent is set. The shift on line -47 moves all of the bits of the exponent upwards towards the most significant location. +71 moves all of the bits of the exponent upwards towards the most significant location. \section{$k$-ary Exponentiation} When calculating an exponentiation the most time consuming bottleneck is the multiplications which are in general a small factor @@ -4865,7 +7489,7 @@ portion of the entire exponent. Consider the following modification to the basi The squaring on step 2.1 can be calculated by squaring the value $c$ successively $k$ times. If the values of $a^g$ for $0 < g < 2^k$ have been precomputed this algorithm requires only $t$ multiplications and $tk$ squarings. The table can be generated with $2^{k - 1} - 1$ squarings and -$2^{k - 1} + 1$ multiplications. This algorithm assumes that the number of bits in the exponent is evenly divisible by $k$. +$2^{k - 1} + 1$ multiplications. This algorithm assumes that the number of bits in the exponent is evenly divisible by $k$. However, when it is not the remaining $0 < x \le k - 1$ bits can be handled with algorithm~\ref{fig:LTOR}. Suppose $k = 4$ and $t = 100$. This modified algorithm will require $109$ multiplications and $408$ squarings to compute the exponentiation. The @@ -4875,7 +7499,7 @@ has increased slightly but the number of multiplications has nearly halved. \subsection{Optimal Values of $k$} An optimal value of $k$ will minimize $2^{k} + \lceil n / k \rceil + n - 1$ for a fixed number of bits in the exponent $n$. The simplest approach is to brute force search amongst the values $k = 2, 3, \ldots, 8$ for the lowest result. Table~\ref{fig:OPTK} lists optimal values of $k$ -for various exponent sizes and compares the number of multiplication and squarings required against algorithm~\ref{fig:LTOR}. +for various exponent sizes and compares the number of multiplication and squarings required against algorithm~\ref{fig:LTOR}. \begin{figure}[here] \begin{center} @@ -4901,10 +7525,10 @@ for various exponent sizes and compares the number of multiplication and squarin \subsection{Sliding-Window Exponentiation} A simple modification to the previous algorithm is only generate the upper half of the table in the range $2^{k-1} \le g < 2^k$. Essentially -this is a table for all values of $g$ where the most significant bit of $g$ is a one. However, in order for this to be allowed in the -algorithm values of $g$ in the range $0 \le g < 2^{k-1}$ must be avoided. +this is a table for all values of $g$ where the most significant bit of $g$ is a one. However, in order for this to be allowed in the +algorithm values of $g$ in the range $0 \le g < 2^{k-1}$ must be avoided. -Table~\ref{fig:OPTK2} lists optimal values of $k$ for various exponent sizes and compares the work required against algorithm~\ref{fig:KARY}. +Table~\ref{fig:OPTK2} lists optimal values of $k$ for various exponent sizes and compares the work required against algorithm {\ref{fig:KARY}}. \begin{figure}[here] \begin{center} @@ -4955,29 +7579,29 @@ Table~\ref{fig:OPTK2} lists optimal values of $k$ for various exponent sizes and Similar to the previous algorithm this algorithm must have a special handler when fewer than $k$ bits are left in the exponent. While this algorithm requires the same number of squarings it can potentially have fewer multiplications. The pre-computed table $a^g$ is also half -the size as the previous table. +the size as the previous table. -Consider the exponent $b = 111101011001000_2 \equiv 31432_{10}$ with $k = 3$ using both algorithms. The first algorithm will divide the exponent up as -the following five $3$-bit words $b \equiv \left ( 111, 101, 011, 001, 000 \right )_{2}$. The second algorithm will break the +Consider the exponent $b = 111101011001000_2 \equiv 31432_{10}$ with $k = 3$ using both algorithms. The first algorithm will divide the exponent up as +the following five $3$-bit words $b \equiv \left ( 111, 101, 011, 001, 000 \right )_{2}$. The second algorithm will break the exponent as $b \equiv \left ( 111, 101, 0, 110, 0, 100, 0 \right )_{2}$. The single digit $0$ in the second representation are where -a single squaring took place instead of a squaring and multiplication. In total the first method requires $10$ multiplications and $18$ -squarings. The second method requires $8$ multiplications and $18$ squarings. +a single squaring took place instead of a squaring and multiplication. In total the first method requires $10$ multiplications and $18$ +squarings. The second method requires $8$ multiplications and $18$ squarings. -In general the sliding window method is never slower than the generic $k$-ary method and often it is slightly faster. +In general the sliding window method is never slower than the generic $k$-ary method and often it is slightly faster. \section{Modular Exponentiation} -Modular exponentiation is essentially computing the power of a base within a finite field or ring. For example, computing -$d \equiv a^b \mbox{ (mod }c\mbox{)}$ is a modular exponentiation. Instead of first computing $a^b$ and then reducing it -modulo $c$ the intermediate result is reduced modulo $c$ after every squaring or multiplication operation. +Modular exponentiation is essentially computing the power of a base within a finite field or ring. For example, computing +$d \equiv a^b \mbox{ (mod }c\mbox{)}$ is a modular exponentiation. Instead of first computing $a^b$ and then reducing it +modulo $c$ the intermediate result is reduced modulo $c$ after every squaring or multiplication operation. This guarantees that any intermediate result is bounded by $0 \le d \le c^2 - 2c + 1$ and can be reduced modulo $c$ quickly using -one of the algorithms presented in chapter six. +one of the algorithms presented in chapter six. Before the actual modular exponentiation algorithm can be written a wrapper algorithm must be written first. This algorithm will allow the exponent $b$ to be negative which is computed as $c \equiv \left (1 / a \right )^{\vert b \vert} \mbox{(mod }d\mbox{)}$. The value of $(1/a) \mbox{ mod }c$ is computed using the modular inverse (\textit{see \ref{sec;modinv}}). If no inverse exists the algorithm -terminates with an error. +terminates with an error. \begin{figure}[!here] \begin{small} @@ -5004,25 +7628,119 @@ terminates with an error. \end{figure} \textbf{Algorithm mp\_exptmod.} -The first algorithm which actually performs modular exponentiation is algorithm s\_mp\_exptmod. It is a sliding window $k$-ary algorithm -which uses Barrett reduction to reduce the product modulo $p$. The second algorithm mp\_exptmod\_fast performs the same operation +The first algorithm which actually performs modular exponentiation is algorithm s\_mp\_exptmod. It is a sliding window $k$-ary algorithm +which uses Barrett reduction to reduce the product modulo $p$. The second algorithm mp\_exptmod\_fast performs the same operation except it uses either Montgomery or Diminished Radix reduction. The two latter reduction algorithms are clumped in the same exponentiation -algorithm since their arguments are essentially the same (\textit{two mp\_ints and one mp\_digit}). +algorithm since their arguments are essentially the same (\textit{two mp\_ints and one mp\_digit}). \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_exptmod.c \vspace{-3mm} \begin{alltt} +016 +017 +018 /* this is a shell function that calls either the normal or Montgomery +019 * exptmod functions. Originally the call to the montgomery code was +020 * embedded in the normal function but that wasted alot of stack space +021 * for nothing (since 99% of the time the Montgomery code would be called) +022 */ +023 int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) +024 \{ +025 int dr; +026 +027 /* modulus P must be positive */ +028 if (P->sign == MP_NEG) \{ +029 return MP_VAL; +030 \} +031 +032 /* if exponent X is negative we have to recurse */ +033 if (X->sign == MP_NEG) \{ +034 #ifdef BN_MP_INVMOD_C +035 mp_int tmpG, tmpX; +036 int err; +037 +038 /* first compute 1/G mod P */ +039 if ((err = mp_init(&tmpG)) != MP_OKAY) \{ +040 return err; +041 \} +042 if ((err = mp_invmod(G, P, &tmpG)) != MP_OKAY) \{ +043 mp_clear(&tmpG); +044 return err; +045 \} +046 +047 /* now get |X| */ +048 if ((err = mp_init(&tmpX)) != MP_OKAY) \{ +049 mp_clear(&tmpG); +050 return err; +051 \} +052 if ((err = mp_abs(X, &tmpX)) != MP_OKAY) \{ +053 mp_clear_multi(&tmpG, &tmpX, NULL); +054 return err; +055 \} +056 +057 /* and now compute (1/G)**|X| instead of G**X [X < 0] */ +058 err = mp_exptmod(&tmpG, &tmpX, P, Y); +059 mp_clear_multi(&tmpG, &tmpX, NULL); +060 return err; +061 #else +062 /* no invmod */ +063 return MP_VAL; +064 #endif +065 \} +066 +067 /* modified diminished radix reduction */ +068 #if defined(BN_MP_REDUCE_IS_2K_L_C) && defined(BN_MP_REDUCE_2K_L_C) && defin + ed(BN_S_MP_EXPTMOD_C) +069 if (mp_reduce_is_2k_l(P) == MP_YES) \{ +070 return s_mp_exptmod(G, X, P, Y, 1); +071 \} +072 #endif +073 +074 #ifdef BN_MP_DR_IS_MODULUS_C +075 /* is it a DR modulus? */ +076 dr = mp_dr_is_modulus(P); +077 #else +078 /* default to no */ +079 dr = 0; +080 #endif +081 +082 #ifdef BN_MP_REDUCE_IS_2K_C +083 /* if not, is it a unrestricted DR modulus? */ +084 if (dr == 0) \{ +085 dr = mp_reduce_is_2k(P) << 1; +086 \} +087 #endif +088 +089 /* if the modulus is odd or dr != 0 use the montgomery method */ +090 #ifdef BN_MP_EXPTMOD_FAST_C +091 if ((mp_isodd (P) == MP_YES) || (dr != 0)) \{ +092 return mp_exptmod_fast (G, X, P, Y, dr); +093 \} else \{ +094 #endif +095 #ifdef BN_S_MP_EXPTMOD_C +096 /* otherwise use the generic Barrett reduction technique */ +097 return s_mp_exptmod (G, X, P, Y, 0); +098 #else +099 /* no exptmod for evens */ +100 return MP_VAL; +101 #endif +102 #ifdef BN_MP_EXPTMOD_FAST_C +103 \} +104 #endif +105 \} +106 +107 #endif +108 \end{alltt} \end{small} -In order to keep the algorithms in a known state the first step on line 29 is to reject any negative modulus as input. If the exponent is +In order to keep the algorithms in a known state the first step on line 28 is to reject any negative modulus as input. If the exponent is negative the algorithm tries to perform a modular exponentiation with the modular inverse of the base $G$. The temporary variable $tmpG$ is assigned the modular inverse of $G$ and $tmpX$ is assigned the absolute value of $X$. The algorithm will recuse with these new values with a positive exponent. -If the exponent is positive the algorithm resumes the exponentiation. Line 77 determines if the modulus is of the restricted Diminished Radix -form. If it is not line 70 attempts to determine if it is of a unrestricted Diminished Radix form. The integer $dr$ will take on one +If the exponent is positive the algorithm resumes the exponentiation. Line 76 determines if the modulus is of the restricted Diminished Radix +form. If it is not line 69 attempts to determine if it is of a unrestricted Diminished Radix form. The integer $dr$ will take on one of three values. \begin{enumerate} @@ -5032,7 +7750,7 @@ of three values. \end{enumerate} Line 69 determines if the fast modular exponentiation algorithm can be used. It is allowed if $dr \ne 0$ or if the modulus is odd. Otherwise, -the slower s\_mp\_exptmod algorithm is used which uses Barrett reduction. +the slower s\_mp\_exptmod algorithm is used which uses Barrett reduction. \subsection{Barrett Modular Exponentiation} @@ -5137,9 +7855,9 @@ No more windows left. Check for residual bits of exponent. \\ This algorithm computes the $x$'th power of $g$ modulo $p$ and stores the result in $y$. It takes advantage of the Barrett reduction algorithm to keep the product small throughout the algorithm. -The first two steps determine the optimal window size based on the number of bits in the exponent. The larger the exponent the +The first two steps determine the optimal window size based on the number of bits in the exponent. The larger the exponent the larger the window size becomes. After a window size $winsize$ has been chosen an array of $2^{winsize}$ mp\_int variables is allocated. This -table will hold the values of $g^x \mbox{ (mod }p\mbox{)}$ for $2^{winsize - 1} \le x < 2^{winsize}$. +table will hold the values of $g^x \mbox{ (mod }p\mbox{)}$ for $2^{winsize - 1} \le x < 2^{winsize}$. After the table is allocated the first power of $g$ is found. Since $g \ge p$ is allowed it must be first reduced modulo $p$ to make the rest of the algorithm more efficient. The first element of the table at $2^{winsize - 1}$ is found by squaring $M_1$ successively $winsize - 2$ @@ -5147,35 +7865,35 @@ times. The rest of the table elements are found by multiplying the previous ele Now that the table is available the sliding window may begin. The following list describes the functions of all the variables in the window. \begin{enumerate} -\item The variable $mode$ dictates how the bits of the exponent are interpreted. +\item The variable $mode$ dictates how the bits of the exponent are interpreted. \begin{enumerate} - \item When $mode = 0$ the bits are ignored since no non-zero bit of the exponent has been seen yet. For example, if the exponent were simply - $1$ then there would be $lg(\beta) - 1$ zero bits before the first non-zero bit. In this case bits are ignored until a non-zero bit is found. - \item When $mode = 1$ a non-zero bit has been seen before and a new $winsize$-bit window has not been formed yet. In this mode leading $0$ bits - are read and a single squaring is performed. If a non-zero bit is read a new window is created. + \item When $mode = 0$ the bits are ignored since no non-zero bit of the exponent has been seen yet. For example, if the exponent were simply + $1$ then there would be $lg(\beta) - 1$ zero bits before the first non-zero bit. In this case bits are ignored until a non-zero bit is found. + \item When $mode = 1$ a non-zero bit has been seen before and a new $winsize$-bit window has not been formed yet. In this mode leading $0$ bits + are read and a single squaring is performed. If a non-zero bit is read a new window is created. \item When $mode = 2$ the algorithm is in the middle of forming a window and new bits are appended to the window from the most significant bit downwards. \end{enumerate} \item The variable $bitcnt$ indicates how many bits are left in the current digit of the exponent left to be read. When it reaches zero a new digit is fetched from the exponent. -\item The variable $buf$ holds the currently read digit of the exponent. +\item The variable $buf$ holds the currently read digit of the exponent. \item The variable $digidx$ is an index into the exponents digits. It starts at the leading digit $x.used - 1$ and moves towards the trailing digit. \item The variable $bitcpy$ indicates how many bits are in the currently formed window. When it reaches $winsize$ the window is flushed and the appropriate operations performed. -\item The variable $bitbuf$ holds the current bits of the window being formed. +\item The variable $bitbuf$ holds the current bits of the window being formed. \end{enumerate} All of step 12 is the window processing loop. It will iterate while there are digits available form the exponent to read. The first step inside this loop is to extract a new digit if no more bits are available in the current digit. If there are no bits left a new digit is -read and if there are no digits left than the loop terminates. +read and if there are no digits left than the loop terminates. After a digit is made available step 12.3 will extract the most significant bit of the current digit and move all other bits in the digit -upwards. In effect the digit is read from most significant bit to least significant bit and since the digits are read from leading to +upwards. In effect the digit is read from most significant bit to least significant bit and since the digits are read from leading to trailing edges the entire exponent is read from most significant bit to least significant bit. -At step 12.5 if the $mode$ and currently extracted bit $y$ are both zero the bit is ignored and the next bit is read. This prevents the +At step 12.5 if the $mode$ and currently extracted bit $y$ are both zero the bit is ignored and the next bit is read. This prevents the algorithm from having to perform trivial squaring and reduction operations before the first non-zero bit is read. Step 12.6 and 12.7-10 handle -the two cases of $mode = 1$ and $mode = 2$ respectively. +the two cases of $mode = 1$ and $mode = 2$ respectively. \begin{center} \begin{figure}[here] @@ -5185,24 +7903,258 @@ the two cases of $mode = 1$ and $mode = 2$ respectively. \end{figure} \end{center} -By step 13 there are no more digits left in the exponent. However, there may be partial bits in the window left. If $mode = 2$ then -a Left-to-Right algorithm is used to process the remaining few bits. +By step 13 there are no more digits left in the exponent. However, there may be partial bits in the window left. If $mode = 2$ then +a Left-to-Right algorithm is used to process the remaining few bits. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_s\_mp\_exptmod.c \vspace{-3mm} \begin{alltt} +016 #ifdef MP_LOW_MEM +017 #define TAB_SIZE 32 +018 #else +019 #define TAB_SIZE 256 +020 #endif +021 +022 int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmod + e) +023 \{ +024 mp_int M[TAB_SIZE], res, mu; +025 mp_digit buf; +026 int err, bitbuf, bitcpy, bitcnt, mode, digidx, x, y, winsize; +027 int (*redux)(mp_int*,mp_int*,mp_int*); +028 +029 /* find window size */ +030 x = mp_count_bits (X); +031 if (x <= 7) \{ +032 winsize = 2; +033 \} else if (x <= 36) \{ +034 winsize = 3; +035 \} else if (x <= 140) \{ +036 winsize = 4; +037 \} else if (x <= 450) \{ +038 winsize = 5; +039 \} else if (x <= 1303) \{ +040 winsize = 6; +041 \} else if (x <= 3529) \{ +042 winsize = 7; +043 \} else \{ +044 winsize = 8; +045 \} +046 +047 #ifdef MP_LOW_MEM +048 if (winsize > 5) \{ +049 winsize = 5; +050 \} +051 #endif +052 +053 /* init M array */ +054 /* init first cell */ +055 if ((err = mp_init(&M[1])) != MP_OKAY) \{ +056 return err; +057 \} +058 +059 /* now init the second half of the array */ +060 for (x = 1<<(winsize-1); x < (1 << winsize); x++) \{ +061 if ((err = mp_init(&M[x])) != MP_OKAY) \{ +062 for (y = 1<<(winsize-1); y < x; y++) \{ +063 mp_clear (&M[y]); +064 \} +065 mp_clear(&M[1]); +066 return err; +067 \} +068 \} +069 +070 /* create mu, used for Barrett reduction */ +071 if ((err = mp_init (&mu)) != MP_OKAY) \{ +072 goto LBL_M; +073 \} +074 +075 if (redmode == 0) \{ +076 if ((err = mp_reduce_setup (&mu, P)) != MP_OKAY) \{ +077 goto LBL_MU; +078 \} +079 redux = mp_reduce; +080 \} else \{ +081 if ((err = mp_reduce_2k_setup_l (P, &mu)) != MP_OKAY) \{ +082 goto LBL_MU; +083 \} +084 redux = mp_reduce_2k_l; +085 \} +086 +087 /* create M table +088 * +089 * The M table contains powers of the base, +090 * e.g. M[x] = G**x mod P +091 * +092 * The first half of the table is not +093 * computed though accept for M[0] and M[1] +094 */ +095 if ((err = mp_mod (G, P, &M[1])) != MP_OKAY) \{ +096 goto LBL_MU; +097 \} +098 +099 /* compute the value at M[1<<(winsize-1)] by squaring +100 * M[1] (winsize-1) times +101 */ +102 if ((err = mp_copy (&M[1], &M[1 << (winsize - 1)])) != MP_OKAY) \{ +103 goto LBL_MU; +104 \} +105 +106 for (x = 0; x < (winsize - 1); x++) \{ +107 /* square it */ +108 if ((err = mp_sqr (&M[1 << (winsize - 1)], +109 &M[1 << (winsize - 1)])) != MP_OKAY) \{ +110 goto LBL_MU; +111 \} +112 +113 /* reduce modulo P */ +114 if ((err = redux (&M[1 << (winsize - 1)], P, &mu)) != MP_OKAY) \{ +115 goto LBL_MU; +116 \} +117 \} +118 +119 /* create upper table, that is M[x] = M[x-1] * M[1] (mod P) +120 * for x = (2**(winsize - 1) + 1) to (2**winsize - 1) +121 */ +122 for (x = (1 << (winsize - 1)) + 1; x < (1 << winsize); x++) \{ +123 if ((err = mp_mul (&M[x - 1], &M[1], &M[x])) != MP_OKAY) \{ +124 goto LBL_MU; +125 \} +126 if ((err = redux (&M[x], P, &mu)) != MP_OKAY) \{ +127 goto LBL_MU; +128 \} +129 \} +130 +131 /* setup result */ +132 if ((err = mp_init (&res)) != MP_OKAY) \{ +133 goto LBL_MU; +134 \} +135 mp_set (&res, 1); +136 +137 /* set initial mode and bit cnt */ +138 mode = 0; +139 bitcnt = 1; +140 buf = 0; +141 digidx = X->used - 1; +142 bitcpy = 0; +143 bitbuf = 0; +144 +145 for (;;) \{ +146 /* grab next digit as required */ +147 if (--bitcnt == 0) \{ +148 /* if digidx == -1 we are out of digits */ +149 if (digidx == -1) \{ +150 break; +151 \} +152 /* read next digit and reset the bitcnt */ +153 buf = X->dp[digidx--]; +154 bitcnt = (int) DIGIT_BIT; +155 \} +156 +157 /* grab the next msb from the exponent */ +158 y = (buf >> (mp_digit)(DIGIT_BIT - 1)) & 1; +159 buf <<= (mp_digit)1; +160 +161 /* if the bit is zero and mode == 0 then we ignore it +162 * These represent the leading zero bits before the first 1 bit +163 * in the exponent. Technically this opt is not required but it +164 * does lower the # of trivial squaring/reductions used +165 */ +166 if ((mode == 0) && (y == 0)) \{ +167 continue; +168 \} +169 +170 /* if the bit is zero and mode == 1 then we square */ +171 if ((mode == 1) && (y == 0)) \{ +172 if ((err = mp_sqr (&res, &res)) != MP_OKAY) \{ +173 goto LBL_RES; +174 \} +175 if ((err = redux (&res, P, &mu)) != MP_OKAY) \{ +176 goto LBL_RES; +177 \} +178 continue; +179 \} +180 +181 /* else we add it to the window */ +182 bitbuf |= (y << (winsize - ++bitcpy)); +183 mode = 2; +184 +185 if (bitcpy == winsize) \{ +186 /* ok window is filled so square as required and multiply */ +187 /* square first */ +188 for (x = 0; x < winsize; x++) \{ +189 if ((err = mp_sqr (&res, &res)) != MP_OKAY) \{ +190 goto LBL_RES; +191 \} +192 if ((err = redux (&res, P, &mu)) != MP_OKAY) \{ +193 goto LBL_RES; +194 \} +195 \} +196 +197 /* then multiply */ +198 if ((err = mp_mul (&res, &M[bitbuf], &res)) != MP_OKAY) \{ +199 goto LBL_RES; +200 \} +201 if ((err = redux (&res, P, &mu)) != MP_OKAY) \{ +202 goto LBL_RES; +203 \} +204 +205 /* empty window and reset */ +206 bitcpy = 0; +207 bitbuf = 0; +208 mode = 1; +209 \} +210 \} +211 +212 /* if bits remain then square/multiply */ +213 if ((mode == 2) && (bitcpy > 0)) \{ +214 /* square then multiply if the bit is set */ +215 for (x = 0; x < bitcpy; x++) \{ +216 if ((err = mp_sqr (&res, &res)) != MP_OKAY) \{ +217 goto LBL_RES; +218 \} +219 if ((err = redux (&res, P, &mu)) != MP_OKAY) \{ +220 goto LBL_RES; +221 \} +222 +223 bitbuf <<= 1; +224 if ((bitbuf & (1 << winsize)) != 0) \{ +225 /* then multiply */ +226 if ((err = mp_mul (&res, &M[1], &res)) != MP_OKAY) \{ +227 goto LBL_RES; +228 \} +229 if ((err = redux (&res, P, &mu)) != MP_OKAY) \{ +230 goto LBL_RES; +231 \} +232 \} +233 \} +234 \} +235 +236 mp_exch (&res, Y); +237 err = MP_OKAY; +238 LBL_RES:mp_clear (&res); +239 LBL_MU:mp_clear (&mu); +240 LBL_M: +241 mp_clear(&M[1]); +242 for (x = 1<<(winsize-1); x < (1 << winsize); x++) \{ +243 mp_clear (&M[x]); +244 \} +245 return err; +246 \} +247 #endif +248 \end{alltt} \end{small} -Lines 32 through 46 determine the optimal window size based on the length of the exponent in bits. The window divisions are sorted -from smallest to greatest so that in each \textbf{if} statement only one condition must be tested. For example, by the \textbf{if} statement -on line 38 the value of $x$ is already known to be greater than $140$. +Lines 31 through 45 determine the optimal window size based on the length of the exponent in bits. The window divisions are sorted +from smallest to greatest so that in each \textbf{if} statement only one condition must be tested. For example, by the \textbf{if} statement +on line 37 the value of $x$ is already known to be greater than $140$. -The conditional piece of code beginning on line 48 allows the window size to be restricted to five bits. This logic is used to ensure -the table of precomputed powers of $G$ remains relatively small. +The conditional piece of code beginning on line 47 allows the window size to be restricted to five bits. This logic is used to ensure +the table of precomputed powers of $G$ remains relatively small. -The for loop on line 61 initializes the $M$ array while lines 72 and 77 through 86 initialize the reduction +The for loop on line 60 initializes the $M$ array while lines 71 and 76 through 85 initialize the reduction function that will be used for this modulus. -- More later. @@ -5237,17 +8189,46 @@ equivalent to $m \cdot 2^k$. By this logic when $m = 1$ a quick power of two ca \hspace{-5.1mm}{\bf File}: bn\_mp\_2expt.c \vspace{-3mm} \begin{alltt} +016 +017 /* computes a = 2**b +018 * +019 * Simple algorithm which zeroes the int, grows it then just sets one bit +020 * as required. +021 */ +022 int +023 mp_2expt (mp_int * a, int b) +024 \{ +025 int res; +026 +027 /* zero a as per default */ +028 mp_zero (a); +029 +030 /* grow a to accomodate the single bit */ +031 if ((res = mp_grow (a, (b / DIGIT_BIT) + 1)) != MP_OKAY) \{ +032 return res; +033 \} +034 +035 /* set the used count of where the bit will go */ +036 a->used = (b / DIGIT_BIT) + 1; +037 +038 /* put the single bit in its place */ +039 a->dp[b / DIGIT_BIT] = ((mp_digit)1) << (b % DIGIT_BIT); +040 +041 return MP_OKAY; +042 \} +043 #endif +044 \end{alltt} \end{small} \chapter{Higher Level Algorithms} This chapter discusses the various higher level algorithms that are required to complete a well rounded multiple precision integer package. These -routines are less performance oriented than the algorithms of chapters five, six and seven but are no less important. +routines are less performance oriented than the algorithms of chapters five, six and seven but are no less important. The first section describes a method of integer division with remainder that is universally well known. It provides the signed division logic -for the package. The subsequent section discusses a set of algorithms which allow a single digit to be the 2nd operand for a variety of operations. -These algorithms serve mostly to simplify other algorithms where small constants are required. The last two sections discuss how to manipulate +for the package. The subsequent section discusses a set of algorithms which allow a single digit to be the 2nd operand for a variety of operations. +These algorithms serve mostly to simplify other algorithms where small constants are required. The last two sections discuss how to manipulate various representations of integers. For example, converting from an mp\_int to a string of character. \section{Integer Division with Remainder} @@ -5255,7 +8236,7 @@ various representations of integers. For example, converting from an mp\_int to Integer division aside from modular exponentiation is the most intensive algorithm to compute. Like addition, subtraction and multiplication the basis of this algorithm is the long-hand division algorithm taught to school children. Throughout this discussion several common variables -will be used. Let $x$ represent the divisor and $y$ represent the dividend. Let $q$ represent the integer quotient $\lfloor y / x \rfloor$ and +will be used. Let $x$ represent the divisor and $y$ represent the dividend. Let $q$ represent the integer quotient $\lfloor y / x \rfloor$ and let $r$ represent the remainder $r = y - x \lfloor y / x \rfloor$. The following simple algorithm will be used to start the discussion. \newpage\begin{figure}[!here] @@ -5285,42 +8266,42 @@ let $r$ represent the remainder $r = y - x \lfloor y / x \rfloor$. The followin As children we are taught this very simple algorithm for the case of $\beta = 10$. Almost instinctively several optimizations are taught for which their reason of existing are never explained. For this example let $y = 5471$ represent the dividend and $x = 23$ represent the divisor. -To find the first digit of the quotient the value of $k$ must be maximized such that $kx\beta^t$ is less than or equal to $y$ and +To find the first digit of the quotient the value of $k$ must be maximized such that $kx\beta^t$ is less than or equal to $y$ and simultaneously $(k + 1)x\beta^t$ is greater than $y$. Implicitly $k$ is the maximum value the $t$'th digit of the quotient may have. The habitual method used to find the maximum is to ``eyeball'' the two numbers, typically only the leading digits and quickly estimate a quotient. By only using leading -digits a much simpler division may be used to form an educated guess at what the value must be. In this case $k = \lfloor 54/23\rfloor = 2$ quickly -arises as a possible solution. Indeed $2x\beta^2 = 4600$ is less than $y = 5471$ and simultaneously $(k + 1)x\beta^2 = 6900$ is larger than $y$. +digits a much simpler division may be used to form an educated guess at what the value must be. In this case $k = \lfloor 54/23\rfloor = 2$ quickly +arises as a possible solution. Indeed $2x\beta^2 = 4600$ is less than $y = 5471$ and simultaneously $(k + 1)x\beta^2 = 6900$ is larger than $y$. As a result $k\beta^2$ is added to the quotient which now equals $q = 200$ and $4600$ is subtracted from $y$ to give a remainder of $y = 841$. -Again this process is repeated to produce the quotient digit $k = 3$ which makes the quotient $q = 200 + 3\beta = 230$ and the remainder +Again this process is repeated to produce the quotient digit $k = 3$ which makes the quotient $q = 200 + 3\beta = 230$ and the remainder $y = 841 - 3x\beta = 181$. Finally the last iteration of the loop produces $k = 7$ which leads to the quotient $q = 230 + 7 = 237$ and the -remainder $y = 181 - 7x = 20$. The final quotient and remainder found are $q = 237$ and $r = y = 20$ which are indeed correct since -$237 \cdot 23 + 20 = 5471$ is true. +remainder $y = 181 - 7x = 20$. The final quotient and remainder found are $q = 237$ and $r = y = 20$ which are indeed correct since +$237 \cdot 23 + 20 = 5471$ is true. \subsection{Quotient Estimation} \label{sec:divest} As alluded to earlier the quotient digit $k$ can be estimated from only the leading digits of both the divisor and dividend. When $p$ leading digits are used from both the divisor and dividend to form an estimation the accuracy of the estimation rises as $p$ grows. Technically speaking the estimation is based on assuming the lower $\vert \vert y \vert \vert - p$ and $\vert \vert x \vert \vert - p$ lower digits of the -dividend and divisor are zero. +dividend and divisor are zero. The value of the estimation may off by a few values in either direction and in general is fairly correct. A simplification \cite[pp. 271]{TAOCPV2} -of the estimation technique is to use $t + 1$ digits of the dividend and $t$ digits of the divisor, in particularly when $t = 1$. The estimate -using this technique is never too small. For the following proof let $t = \vert \vert y \vert \vert - 1$ and $s = \vert \vert x \vert \vert - 1$ +of the estimation technique is to use $t + 1$ digits of the dividend and $t$ digits of the divisor, in particularly when $t = 1$. The estimate +using this technique is never too small. For the following proof let $t = \vert \vert y \vert \vert - 1$ and $s = \vert \vert x \vert \vert - 1$ represent the most significant digits of the dividend and divisor respectively. -\textbf{Proof.}\textit{ The quotient $\hat k = \lfloor (y_t\beta + y_{t-1}) / x_s \rfloor$ is greater than or equal to +\textbf{Proof.}\textit{ The quotient $\hat k = \lfloor (y_t\beta + y_{t-1}) / x_s \rfloor$ is greater than or equal to $k = \lfloor y / (x \cdot \beta^{\vert \vert y \vert \vert - \vert \vert x \vert \vert - 1}) \rfloor$. } -The first obvious case is when $\hat k = \beta - 1$ in which case the proof is concluded since the real quotient cannot be larger. For all other +The first obvious case is when $\hat k = \beta - 1$ in which case the proof is concluded since the real quotient cannot be larger. For all other cases $\hat k = \lfloor (y_t\beta + y_{t-1}) / x_s \rfloor$ and $\hat k x_s \ge y_t\beta + y_{t-1} - x_s + 1$. The latter portion of the inequalility -$-x_s + 1$ arises from the fact that a truncated integer division will give the same quotient for at most $x_s - 1$ values. Next a series of +$-x_s + 1$ arises from the fact that a truncated integer division will give the same quotient for at most $x_s - 1$ values. Next a series of inequalities will prove the hypothesis. \begin{equation} y - \hat k x \le y - \hat k x_s\beta^s \end{equation} -This is trivially true since $x \ge x_s\beta^s$. Next we replace $\hat kx_s\beta^s$ by the previous inequality for $\hat kx_s$. +This is trivially true since $x \ge x_s\beta^s$. Next we replace $\hat kx_s\beta^s$ by the previous inequality for $\hat kx_s$. \begin{equation} y - \hat k x \le y_t\beta^t + \ldots + y_0 - (y_t\beta^t + y_{t-1}\beta^{t-1} - x_s\beta^t + \beta^s) @@ -5345,13 +8326,13 @@ Which proves that $y - \hat kx \le x$ and by consequence $\hat k \ge k$ which co For the purposes of division a normalized input is when the divisors leading digit $x_n$ is greater than or equal to $\beta / 2$. By multiplying both $x$ and $y$ by $j = \lfloor (\beta / 2) / x_n \rfloor$ the quotient remains unchanged and the remainder is simply $j$ times the original remainder. The purpose of normalization is to ensure the leading digit of the divisor is sufficiently large such that the estimated quotient will -lie in the domain of a single digit. Consider the maximum dividend $(\beta - 1) \cdot \beta + (\beta - 1)$ and the minimum divisor $\beta / 2$. +lie in the domain of a single digit. Consider the maximum dividend $(\beta - 1) \cdot \beta + (\beta - 1)$ and the minimum divisor $\beta / 2$. -\begin{equation} -{{\beta^2 - 1} \over { \beta / 2}} \le 2\beta - {2 \over \beta} +\begin{equation} +{{\beta^2 - 1} \over { \beta / 2}} \le 2\beta - {2 \over \beta} \end{equation} -At most the quotient approaches $2\beta$, however, in practice this will not occur since that would imply the previous quotient digit was too small. +At most the quotient approaches $2\beta$, however, in practice this will not occur since that would imply the previous quotient digit was too small. \subsection{Radix-$\beta$ Division with Remainder} \newpage\begin{figure}[!here] @@ -5449,23 +8430,23 @@ Finalize the result. \\ This algorithm will calculate quotient and remainder from an integer division given a dividend and divisor. The algorithm is a signed division and will produce a fully qualified quotient and remainder. -First the divisor $b$ must be non-zero which is enforced in step one. If the divisor is larger than the dividend than the quotient is implicitly -zero and the remainder is the dividend. +First the divisor $b$ must be non-zero which is enforced in step one. If the divisor is larger than the dividend than the quotient is implicitly +zero and the remainder is the dividend. After the first two trivial cases of inputs are handled the variable $q$ is setup to receive the digits of the quotient. Two unsigned copies of the divisor $y$ and dividend $x$ are made as well. The core of the division algorithm is an unsigned division and will only work if the values are -positive. Now the two values $x$ and $y$ must be normalized such that the leading digit of $y$ is greater than or equal to $\beta / 2$. -This is performed by shifting both to the left by enough bits to get the desired normalization. +positive. Now the two values $x$ and $y$ must be normalized such that the leading digit of $y$ is greater than or equal to $\beta / 2$. +This is performed by shifting both to the left by enough bits to get the desired normalization. -At this point the division algorithm can begin producing digits of the quotient. Recall that maximum value of the estimation used is +At this point the division algorithm can begin producing digits of the quotient. Recall that maximum value of the estimation used is $2\beta - {2 \over \beta}$ which means that a digit of the quotient must be first produced by another means. In this case $y$ is shifted -to the left (\textit{step ten}) so that it has the same number of digits as $x$. The loop on step eleven will subtract multiples of the +to the left (\textit{step ten}) so that it has the same number of digits as $x$. The loop on step eleven will subtract multiples of the shifted copy of $y$ until $x$ is smaller. Since the leading digit of $y$ is greater than or equal to $\beta/2$ this loop will iterate at most two -times to produce the desired leading digit of the quotient. +times to produce the desired leading digit of the quotient. Now the remainder of the digits can be produced. The equation $\hat q = \lfloor {{x_i \beta + x_{i-1}}\over y_t} \rfloor$ is used to fairly accurately approximate the true quotient digit. The estimation can in theory produce an estimation as high as $2\beta - {2 \over \beta}$ but by -induction the upper quotient digit is correct (\textit{as established on step eleven}) and the estimate must be less than $\beta$. +induction the upper quotient digit is correct (\textit{as established on step eleven}) and the estimate must be less than $\beta$. Recall from section~\ref{sec:divest} that the estimation is never too low but may be too high. The next step of the estimation process is to refine the estimation. The loop on step 13.5 uses $x_i\beta^2 + x_{i-1}\beta + x_{i-2}$ and $q_{i - t - 1}(y_t\beta + y_{t-1})$ as a higher @@ -5473,56 +8454,332 @@ order approximation to adjust the quotient digit. After both phases of estimation the quotient digit may still be off by a value of one\footnote{This is similar to the error introduced by optimizing Barrett reduction.}. Steps 13.6 and 13.7 subtract the multiple of the divisor from the dividend (\textit{Similar to step 3.3 of -algorithm~\ref{fig:raddiv}} and then subsequently add a multiple of the divisor if the quotient was too large. +algorithm~\ref{fig:raddiv}} and then subsequently add a multiple of the divisor if the quotient was too large. -Now that the quotient has been determine finializing the result is a matter of clamping the quotient, fixing the sizes and de-normalizing the +Now that the quotient has been determine finializing the result is a matter of clamping the quotient, fixing the sizes and de-normalizing the remainder. An important aspect of this algorithm seemingly overlooked in other descriptions such as that of Algorithm 14.20 HAC \cite[pp. 598]{HAC} -is that when the estimations are being made (\textit{inside the loop on step 13.5}) that the digits $y_{t-1}$, $x_{i-2}$ and $x_{i-1}$ may lie +is that when the estimations are being made (\textit{inside the loop on step 13.5}) that the digits $y_{t-1}$, $x_{i-2}$ and $x_{i-1}$ may lie outside their respective boundaries. For example, if $t = 0$ or $i \le 1$ then the digits would be undefined. In those cases the digits should -respectively be replaced with a zero. +respectively be replaced with a zero. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_div.c \vspace{-3mm} \begin{alltt} +016 +017 #ifdef BN_MP_DIV_SMALL +018 +019 /* slower bit-bang division... also smaller */ +020 int mp_div(mp_int * a, mp_int * b, mp_int * c, mp_int * d) +021 \{ +022 mp_int ta, tb, tq, q; +023 int res, n, n2; +024 +025 /* is divisor zero ? */ +026 if (mp_iszero (b) == MP_YES) \{ +027 return MP_VAL; +028 \} +029 +030 /* if a < b then q=0, r = a */ +031 if (mp_cmp_mag (a, b) == MP_LT) \{ +032 if (d != NULL) \{ +033 res = mp_copy (a, d); +034 \} else \{ +035 res = MP_OKAY; +036 \} +037 if (c != NULL) \{ +038 mp_zero (c); +039 \} +040 return res; +041 \} +042 +043 /* init our temps */ +044 if ((res = mp_init_multi(&ta, &tb, &tq, &q, NULL)) != MP_OKAY) \{ +045 return res; +046 \} +047 +048 +049 mp_set(&tq, 1); +050 n = mp_count_bits(a) - mp_count_bits(b); +051 if (((res = mp_abs(a, &ta)) != MP_OKAY) || +052 ((res = mp_abs(b, &tb)) != MP_OKAY) || +053 ((res = mp_mul_2d(&tb, n, &tb)) != MP_OKAY) || +054 ((res = mp_mul_2d(&tq, n, &tq)) != MP_OKAY)) \{ +055 goto LBL_ERR; +056 \} +057 +058 while (n-- >= 0) \{ +059 if (mp_cmp(&tb, &ta) != MP_GT) \{ +060 if (((res = mp_sub(&ta, &tb, &ta)) != MP_OKAY) || +061 ((res = mp_add(&q, &tq, &q)) != MP_OKAY)) \{ +062 goto LBL_ERR; +063 \} +064 \} +065 if (((res = mp_div_2d(&tb, 1, &tb, NULL)) != MP_OKAY) || +066 ((res = mp_div_2d(&tq, 1, &tq, NULL)) != MP_OKAY)) \{ +067 goto LBL_ERR; +068 \} +069 \} +070 +071 /* now q == quotient and ta == remainder */ +072 n = a->sign; +073 n2 = (a->sign == b->sign) ? MP_ZPOS : MP_NEG; +074 if (c != NULL) \{ +075 mp_exch(c, &q); +076 c->sign = (mp_iszero(c) == MP_YES) ? MP_ZPOS : n2; +077 \} +078 if (d != NULL) \{ +079 mp_exch(d, &ta); +080 d->sign = (mp_iszero(d) == MP_YES) ? MP_ZPOS : n; +081 \} +082 LBL_ERR: +083 mp_clear_multi(&ta, &tb, &tq, &q, NULL); +084 return res; +085 \} +086 +087 #else +088 +089 /* integer signed division. +090 * c*b + d == a [e.g. a/b, c=quotient, d=remainder] +091 * HAC pp.598 Algorithm 14.20 +092 * +093 * Note that the description in HAC is horribly +094 * incomplete. For example, it doesn't consider +095 * the case where digits are removed from 'x' in +096 * the inner loop. It also doesn't consider the +097 * case that y has fewer than three digits, etc.. +098 * +099 * The overall algorithm is as described as +100 * 14.20 from HAC but fixed to treat these cases. +101 */ +102 int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) +103 \{ +104 mp_int q, x, y, t1, t2; +105 int res, n, t, i, norm, neg; +106 +107 /* is divisor zero ? */ +108 if (mp_iszero (b) == MP_YES) \{ +109 return MP_VAL; +110 \} +111 +112 /* if a < b then q=0, r = a */ +113 if (mp_cmp_mag (a, b) == MP_LT) \{ +114 if (d != NULL) \{ +115 res = mp_copy (a, d); +116 \} else \{ +117 res = MP_OKAY; +118 \} +119 if (c != NULL) \{ +120 mp_zero (c); +121 \} +122 return res; +123 \} +124 +125 if ((res = mp_init_size (&q, a->used + 2)) != MP_OKAY) \{ +126 return res; +127 \} +128 q.used = a->used + 2; +129 +130 if ((res = mp_init (&t1)) != MP_OKAY) \{ +131 goto LBL_Q; +132 \} +133 +134 if ((res = mp_init (&t2)) != MP_OKAY) \{ +135 goto LBL_T1; +136 \} +137 +138 if ((res = mp_init_copy (&x, a)) != MP_OKAY) \{ +139 goto LBL_T2; +140 \} +141 +142 if ((res = mp_init_copy (&y, b)) != MP_OKAY) \{ +143 goto LBL_X; +144 \} +145 +146 /* fix the sign */ +147 neg = (a->sign == b->sign) ? MP_ZPOS : MP_NEG; +148 x.sign = y.sign = MP_ZPOS; +149 +150 /* normalize both x and y, ensure that y >= b/2, [b == 2**DIGIT_BIT] */ +151 norm = mp_count_bits(&y) % DIGIT_BIT; +152 if (norm < (int)(DIGIT_BIT-1)) \{ +153 norm = (DIGIT_BIT-1) - norm; +154 if ((res = mp_mul_2d (&x, norm, &x)) != MP_OKAY) \{ +155 goto LBL_Y; +156 \} +157 if ((res = mp_mul_2d (&y, norm, &y)) != MP_OKAY) \{ +158 goto LBL_Y; +159 \} +160 \} else \{ +161 norm = 0; +162 \} +163 +164 /* note hac does 0 based, so if used==5 then its 0,1,2,3,4, e.g. use 4 */ +165 n = x.used - 1; +166 t = y.used - 1; +167 +168 /* while (x >= y*b**n-t) do \{ q[n-t] += 1; x -= y*b**\{n-t\} \} */ +169 if ((res = mp_lshd (&y, n - t)) != MP_OKAY) \{ /* y = y*b**\{n-t\} */ +170 goto LBL_Y; +171 \} +172 +173 while (mp_cmp (&x, &y) != MP_LT) \{ +174 ++(q.dp[n - t]); +175 if ((res = mp_sub (&x, &y, &x)) != MP_OKAY) \{ +176 goto LBL_Y; +177 \} +178 \} +179 +180 /* reset y by shifting it back down */ +181 mp_rshd (&y, n - t); +182 +183 /* step 3. for i from n down to (t + 1) */ +184 for (i = n; i >= (t + 1); i--) \{ +185 if (i > x.used) \{ +186 continue; +187 \} +188 +189 /* step 3.1 if xi == yt then set q\{i-t-1\} to b-1, +190 * otherwise set q\{i-t-1\} to (xi*b + x\{i-1\})/yt */ +191 if (x.dp[i] == y.dp[t]) \{ +192 q.dp[(i - t) - 1] = ((((mp_digit)1) << DIGIT_BIT) - 1); +193 \} else \{ +194 mp_word tmp; +195 tmp = ((mp_word) x.dp[i]) << ((mp_word) DIGIT_BIT); +196 tmp |= ((mp_word) x.dp[i - 1]); +197 tmp /= ((mp_word) y.dp[t]); +198 if (tmp > (mp_word) MP_MASK) \{ +199 tmp = MP_MASK; +200 \} +201 q.dp[(i - t) - 1] = (mp_digit) (tmp & (mp_word) (MP_MASK)); +202 \} +203 +204 /* while (q\{i-t-1\} * (yt * b + y\{t-1\})) > +205 xi * b**2 + xi-1 * b + xi-2 +206 +207 do q\{i-t-1\} -= 1; +208 */ +209 q.dp[(i - t) - 1] = (q.dp[(i - t) - 1] + 1) & MP_MASK; +210 do \{ +211 q.dp[(i - t) - 1] = (q.dp[(i - t) - 1] - 1) & MP_MASK; +212 +213 /* find left hand */ +214 mp_zero (&t1); +215 t1.dp[0] = ((t - 1) < 0) ? 0 : y.dp[t - 1]; +216 t1.dp[1] = y.dp[t]; +217 t1.used = 2; +218 if ((res = mp_mul_d (&t1, q.dp[(i - t) - 1], &t1)) != MP_OKAY) \{ +219 goto LBL_Y; +220 \} +221 +222 /* find right hand */ +223 t2.dp[0] = ((i - 2) < 0) ? 0 : x.dp[i - 2]; +224 t2.dp[1] = ((i - 1) < 0) ? 0 : x.dp[i - 1]; +225 t2.dp[2] = x.dp[i]; +226 t2.used = 3; +227 \} while (mp_cmp_mag(&t1, &t2) == MP_GT); +228 +229 /* step 3.3 x = x - q\{i-t-1\} * y * b**\{i-t-1\} */ +230 if ((res = mp_mul_d (&y, q.dp[(i - t) - 1], &t1)) != MP_OKAY) \{ +231 goto LBL_Y; +232 \} +233 +234 if ((res = mp_lshd (&t1, (i - t) - 1)) != MP_OKAY) \{ +235 goto LBL_Y; +236 \} +237 +238 if ((res = mp_sub (&x, &t1, &x)) != MP_OKAY) \{ +239 goto LBL_Y; +240 \} +241 +242 /* if x < 0 then \{ x = x + y*b**\{i-t-1\}; q\{i-t-1\} -= 1; \} */ +243 if (x.sign == MP_NEG) \{ +244 if ((res = mp_copy (&y, &t1)) != MP_OKAY) \{ +245 goto LBL_Y; +246 \} +247 if ((res = mp_lshd (&t1, (i - t) - 1)) != MP_OKAY) \{ +248 goto LBL_Y; +249 \} +250 if ((res = mp_add (&x, &t1, &x)) != MP_OKAY) \{ +251 goto LBL_Y; +252 \} +253 +254 q.dp[(i - t) - 1] = (q.dp[(i - t) - 1] - 1UL) & MP_MASK; +255 \} +256 \} +257 +258 /* now q is the quotient and x is the remainder +259 * [which we have to normalize] +260 */ +261 +262 /* get sign before writing to c */ +263 x.sign = (x.used == 0) ? MP_ZPOS : a->sign; +264 +265 if (c != NULL) \{ +266 mp_clamp (&q); +267 mp_exch (&q, c); +268 c->sign = neg; +269 \} +270 +271 if (d != NULL) \{ +272 if ((res = mp_div_2d (&x, norm, &x, NULL)) != MP_OKAY) \{ +273 goto LBL_Y; +274 \} +275 mp_exch (&x, d); +276 \} +277 +278 res = MP_OKAY; +279 +280 LBL_Y:mp_clear (&y); +281 LBL_X:mp_clear (&x); +282 LBL_T2:mp_clear (&t2); +283 LBL_T1:mp_clear (&t1); +284 LBL_Q:mp_clear (&q); +285 return res; +286 \} +287 +288 #endif +289 +290 #endif +291 \end{alltt} \end{small} The implementation of this algorithm differs slightly from the pseudo code presented previously. In this algorithm either of the quotient $c$ or remainder $d$ may be passed as a \textbf{NULL} pointer which indicates their value is not desired. For example, the C code to call the division -algorithm with only the quotient is +algorithm with only the quotient is \begin{verbatim} mp_div(&a, &b, &c, NULL); /* c = [a/b] */ \end{verbatim} -Lines 109 and 113 handle the two trivial cases of inputs which are division by zero and dividend smaller than the divisor -respectively. After the two trivial cases all of the temporary variables are initialized. Line 148 determines the sign of -the quotient and line 148 ensures that both $x$ and $y$ are positive. +Lines 108 and 113 handle the two trivial cases of inputs which are division by zero and dividend smaller than the divisor +respectively. After the two trivial cases all of the temporary variables are initialized. Line 147 determines the sign of +the quotient and line 148 ensures that both $x$ and $y$ are positive. The number of bits in the leading digit is calculated on line 151. Implictly an mp\_int with $r$ digits will require $lg(\beta)(r-1) + k$ bits of precision which when reduced modulo $lg(\beta)$ produces the value of $k$. In this case $k$ is the number of bits in the leading digit which is exactly what is required. For the algorithm to operate $k$ must equal $lg(\beta) - 1$ and when it does not the inputs must be normalized by shifting them to the left by $lg(\beta) - 1 - k$ bits. -Throughout the variables $n$ and $t$ will represent the highest digit of $x$ and $y$ respectively. These are first used to produce the +Throughout the variables $n$ and $t$ will represent the highest digit of $x$ and $y$ respectively. These are first used to produce the leading digit of the quotient. The loop beginning on line 184 will produce the remainder of the quotient digits. -The conditional ``continue'' on line 187 is used to prevent the algorithm from reading past the leading edge of $x$ which can occur when the +The conditional ``continue'' on line 186 is used to prevent the algorithm from reading past the leading edge of $x$ which can occur when the algorithm eliminates multiple non-zero digits in a single iteration. This ensures that $x_i$ is always non-zero since by definition the digits -above the $i$'th position $x$ must be zero in order for the quotient to be precise\footnote{Precise as far as integer division is concerned.}. +above the $i$'th position $x$ must be zero in order for the quotient to be precise\footnote{Precise as far as integer division is concerned.}. -Lines 214, 216 and 223 through 225 manually construct the high accuracy estimations by setting the digits of the two mp\_int -variables directly. +Lines 214, 216 and 223 through 225 manually construct the high accuracy estimations by setting the digits of the two mp\_int +variables directly. \section{Single Digit Helpers} -This section briefly describes a series of single digit helper algorithms which come in handy when working with small constants. All of +This section briefly describes a series of single digit helper algorithms which come in handy when working with small constants. All of the helper functions assume the single digit input is positive and will treat them as such. \subsection{Single Digit Addition and Subtraction} -Both addition and subtraction are performed by ``cheating'' and using mp\_set followed by the higher level addition or subtraction +Both addition and subtraction are performed by ``cheating'' and using mp\_set followed by the higher level addition or subtraction algorithms. As a result these algorithms are subtantially simpler with a slight cost in performance. \newpage\begin{figure}[!here] @@ -5550,6 +8807,99 @@ This algorithm initiates a temporary mp\_int with the value of the single digit \hspace{-5.1mm}{\bf File}: bn\_mp\_add\_d.c \vspace{-3mm} \begin{alltt} +016 +017 /* single digit addition */ +018 int +019 mp_add_d (mp_int * a, mp_digit b, mp_int * c) +020 \{ +021 int res, ix, oldused; +022 mp_digit *tmpa, *tmpc, mu; +023 +024 /* grow c as required */ +025 if (c->alloc < (a->used + 1)) \{ +026 if ((res = mp_grow(c, a->used + 1)) != MP_OKAY) \{ +027 return res; +028 \} +029 \} +030 +031 /* if a is negative and |a| >= b, call c = |a| - b */ +032 if ((a->sign == MP_NEG) && ((a->used > 1) || (a->dp[0] >= b))) \{ +033 /* temporarily fix sign of a */ +034 a->sign = MP_ZPOS; +035 +036 /* c = |a| - b */ +037 res = mp_sub_d(a, b, c); +038 +039 /* fix sign */ +040 a->sign = c->sign = MP_NEG; +041 +042 /* clamp */ +043 mp_clamp(c); +044 +045 return res; +046 \} +047 +048 /* old number of used digits in c */ +049 oldused = c->used; +050 +051 /* sign always positive */ +052 c->sign = MP_ZPOS; +053 +054 /* source alias */ +055 tmpa = a->dp; +056 +057 /* destination alias */ +058 tmpc = c->dp; +059 +060 /* if a is positive */ +061 if (a->sign == MP_ZPOS) \{ +062 /* add digit, after this we're propagating +063 * the carry. +064 */ +065 *tmpc = *tmpa++ + b; +066 mu = *tmpc >> DIGIT_BIT; +067 *tmpc++ &= MP_MASK; +068 +069 /* now handle rest of the digits */ +070 for (ix = 1; ix < a->used; ix++) \{ +071 *tmpc = *tmpa++ + mu; +072 mu = *tmpc >> DIGIT_BIT; +073 *tmpc++ &= MP_MASK; +074 \} +075 /* set final carry */ +076 ix++; +077 *tmpc++ = mu; +078 +079 /* setup size */ +080 c->used = a->used + 1; +081 \} else \{ +082 /* a was negative and |a| < b */ +083 c->used = 1; +084 +085 /* the result is a single digit */ +086 if (a->used == 1) \{ +087 *tmpc++ = b - a->dp[0]; +088 \} else \{ +089 *tmpc++ = b; +090 \} +091 +092 /* setup count so the clearing of oldused +093 * can fall through correctly +094 */ +095 ix = 1; +096 \} +097 +098 /* now zero to oldused */ +099 while (ix++ < oldused) \{ +100 *tmpc++ = 0; +101 \} +102 mp_clamp(c); +103 +104 return MP_OKAY; +105 \} +106 +107 #endif +108 \end{alltt} \end{small} @@ -5593,22 +8943,82 @@ only has one digit. \caption{Algorithm mp\_mul\_d} \end{figure} \textbf{Algorithm mp\_mul\_d.} -This algorithm quickly multiplies an mp\_int by a small single digit value. It is specially tailored to the job and has a minimal of overhead. -Unlike the full multiplication algorithms this algorithm does not require any significnat temporary storage or memory allocations. +This algorithm quickly multiplies an mp\_int by a small single digit value. It is specially tailored to the job and has a minimal of overhead. +Unlike the full multiplication algorithms this algorithm does not require any significnat temporary storage or memory allocations. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_mul\_d.c \vspace{-3mm} \begin{alltt} +016 +017 /* multiply by a digit */ +018 int +019 mp_mul_d (mp_int * a, mp_digit b, mp_int * c) +020 \{ +021 mp_digit u, *tmpa, *tmpc; +022 mp_word r; +023 int ix, res, olduse; +024 +025 /* make sure c is big enough to hold a*b */ +026 if (c->alloc < (a->used + 1)) \{ +027 if ((res = mp_grow (c, a->used + 1)) != MP_OKAY) \{ +028 return res; +029 \} +030 \} +031 +032 /* get the original destinations used count */ +033 olduse = c->used; +034 +035 /* set the sign */ +036 c->sign = a->sign; +037 +038 /* alias for a->dp [source] */ +039 tmpa = a->dp; +040 +041 /* alias for c->dp [dest] */ +042 tmpc = c->dp; +043 +044 /* zero carry */ +045 u = 0; +046 +047 /* compute columns */ +048 for (ix = 0; ix < a->used; ix++) \{ +049 /* compute product and carry sum for this term */ +050 r = (mp_word)u + ((mp_word)*tmpa++ * (mp_word)b); +051 +052 /* mask off higher bits to get a single digit */ +053 *tmpc++ = (mp_digit) (r & ((mp_word) MP_MASK)); +054 +055 /* send carry into next iteration */ +056 u = (mp_digit) (r >> ((mp_word) DIGIT_BIT)); +057 \} +058 +059 /* store final carry [if any] and increment ix offset */ +060 *tmpc++ = u; +061 ++ix; +062 +063 /* now zero digits above the top */ +064 while (ix++ < olduse) \{ +065 *tmpc++ = 0; +066 \} +067 +068 /* set used count */ +069 c->used = a->used + 1; +070 mp_clamp(c); +071 +072 return MP_OKAY; +073 \} +074 #endif +075 \end{alltt} \end{small} -In this implementation the destination $c$ may point to the same mp\_int as the source $a$ since the result is written after the digit is -read from the source. This function uses pointer aliases $tmpa$ and $tmpc$ for the digits of $a$ and $c$ respectively. +In this implementation the destination $c$ may point to the same mp\_int as the source $a$ since the result is written after the digit is +read from the source. This function uses pointer aliases $tmpa$ and $tmpc$ for the digits of $a$ and $c$ respectively. \subsection{Single Digit Division} Like the single digit multiplication algorithm, single digit division is also a fairly common algorithm used in radix conversion. Since the -divisor is only a single digit a specialized variant of the division algorithm can be used to compute the quotient. +divisor is only a single digit a specialized variant of the division algorithm can be used to compute the quotient. \newpage\begin{figure}[!here] \begin{small} @@ -5645,40 +9055,136 @@ divisor is only a single digit a specialized variant of the division algorithm c \textbf{Algorithm mp\_div\_d.} This algorithm divides the mp\_int $a$ by the single mp\_digit $b$ using an optimized approach. Essentially in every iteration of the algorithm another digit of the dividend is reduced and another digit of quotient produced. Provided $b < \beta$ the value of $\hat w$ -after step 7.1 will be limited such that $0 \le \lfloor \hat w / b \rfloor < \beta$. +after step 7.1 will be limited such that $0 \le \lfloor \hat w / b \rfloor < \beta$. If the divisor $b$ is equal to three a variant of this algorithm is used which is called mp\_div\_3. It replaces the division by three with a multiplication by $\lfloor \beta / 3 \rfloor$ and the appropriate shift and residual fixup. In essence it is much like the Barrett reduction -from chapter seven. +from chapter seven. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_div\_d.c \vspace{-3mm} \begin{alltt} +016 +017 static int s_is_power_of_two(mp_digit b, int *p) +018 \{ +019 int x; +020 +021 /* fast return if no power of two */ +022 if ((b == 0) || ((b & (b-1)) != 0)) \{ +023 return 0; +024 \} +025 +026 for (x = 0; x < DIGIT_BIT; x++) \{ +027 if (b == (((mp_digit)1)<dp[0] & ((((mp_digit)1)<used)) != MP_OKAY) \{ +079 return res; +080 \} +081 +082 q.used = a->used; +083 q.sign = a->sign; +084 w = 0; +085 for (ix = a->used - 1; ix >= 0; ix--) \{ +086 w = (w << ((mp_word)DIGIT_BIT)) | ((mp_word)a->dp[ix]); +087 +088 if (w >= b) \{ +089 t = (mp_digit)(w / b); +090 w -= ((mp_word)t) * ((mp_word)b); +091 \} else \{ +092 t = 0; +093 \} +094 q.dp[ix] = (mp_digit)t; +095 \} +096 +097 if (d != NULL) \{ +098 *d = (mp_digit)w; +099 \} +100 +101 if (c != NULL) \{ +102 mp_clamp(&q); +103 mp_exch(&q, c); +104 \} +105 mp_clear(&q); +106 +107 return res; +108 \} +109 +110 #endif +111 \end{alltt} \end{small} Like the implementation of algorithm mp\_div this algorithm allows either of the quotient or remainder to be passed as a \textbf{NULL} pointer to indicate the respective value is not required. This allows a trivial single digit modular reduction algorithm, mp\_mod\_d to be created. -The division and remainder on lines 44 and @45,%@ can be replaced often by a single division on most processors. For example, the 32-bit x86 based -processors can divide a 64-bit quantity by a 32-bit quantity and produce the quotient and remainder simultaneously. Unfortunately the GCC -compiler does not recognize that optimization and will actually produce two function calls to find the quotient and remainder respectively. +The division and remainder on lines 89 and 90 can be replaced often by a single division on most processors. For example, the 32-bit x86 based +processors can divide a 64-bit quantity by a 32-bit quantity and produce the quotient and remainder simultaneously. Unfortunately the GCC +compiler does not recognize that optimization and will actually produce two function calls to find the quotient and remainder respectively. \subsection{Single Digit Root Extraction} -Finding the $n$'th root of an integer is fairly easy as far as numerical analysis is concerned. Algorithms such as the Newton-Raphson approximation -(\ref{eqn:newton}) series will converge very quickly to a root for any continuous function $f(x)$. +Finding the $n$'th root of an integer is fairly easy as far as numerical analysis is concerned. Algorithms such as the Newton-Raphson approximation +(\ref{eqn:newton}) series will converge very quickly to a root for any continuous function $f(x)$. \begin{equation} x_{i+1} = x_i - {f(x_i) \over f'(x_i)} \label{eqn:newton} \end{equation} -In this case the $n$'th root is desired and $f(x) = x^n - a$ where $a$ is the integer of which the root is desired. The derivative of $f(x)$ is +In this case the $n$'th root is desired and $f(x) = x^n - a$ where $a$ is the integer of which the root is desired. The derivative of $f(x)$ is simply $f'(x) = nx^{n - 1}$. Of particular importance is that this algorithm will be used over the integers not over the a more continuous domain -such as the real numbers. As a result the root found can be above the true root by few and must be manually adjusted. Ideally at the end of the -algorithm the $n$'th root $b$ of an integer $a$ is desired such that $b^n \le a$. +such as the real numbers. As a result the root found can be above the true root by few and must be manually adjusted. Ideally at the end of the +algorithm the $n$'th root $b$ of an integer $a$ is desired such that $b^n \le a$. \newpage\begin{figure}[!here] \begin{small} @@ -5719,24 +9225,35 @@ algorithm the $n$'th root $b$ of an integer $a$ is desired such that $b^n \le a$ \textbf{Algorithm mp\_n\_root.} This algorithm finds the integer $n$'th root of an input using the Newton-Raphson approach. It is partially optimized based on the observation that the numerator of ${f(x) \over f'(x)}$ can be derived from a partial denominator. That is at first the denominator is calculated by finding -$x^{b - 1}$. This value can then be multiplied by $x$ and have $a$ subtracted from it to find the numerator. This saves a total of $b - 1$ -multiplications by t$1$ inside the loop. +$x^{b - 1}$. This value can then be multiplied by $x$ and have $a$ subtracted from it to find the numerator. This saves a total of $b - 1$ +multiplications by t$1$ inside the loop. The initial value of the approximation is t$2 = 2$ which allows the algorithm to start with very small values and quickly converge on the -root. Ideally this algorithm is meant to find the $n$'th root of an input where $n$ is bounded by $2 \le n \le 5$. +root. Ideally this algorithm is meant to find the $n$'th root of an input where $n$ is bounded by $2 \le n \le 5$. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_n\_root.c \vspace{-3mm} \begin{alltt} +016 +017 /* wrapper function for mp_n_root_ex() +018 * computes c = (a)**(1/b) such that (c)**b <= a and (c+1)**b > a +019 */ +020 int mp_n_root (mp_int * a, mp_digit b, mp_int * c) +021 \{ +022 return mp_n_root_ex(a, b, c, 0); +023 \} +024 +025 #endif +026 \end{alltt} \end{small} \section{Random Number Generation} -Random numbers come up in a variety of activities from public key cryptography to simple simulations and various randomized algorithms. Pollard-Rho +Random numbers come up in a variety of activities from public key cryptography to simple simulations and various randomized algorithms. Pollard-Rho factoring for example, can make use of random values as starting points to find factors of a composite integer. In this case the algorithm presented -is solely for simulations and not intended for cryptographic use. +is solely for simulations and not intended for cryptographic use. \newpage\begin{figure}[!here] \begin{small} @@ -5764,12 +9281,49 @@ is solely for simulations and not intended for cryptographic use. \textbf{Algorithm mp\_rand.} This algorithm produces a pseudo-random integer of $b$ digits. By ensuring that the first digit is non-zero the algorithm also guarantees that the final result has at least $b$ digits. It relies heavily on a third-part random number generator which should ideally generate uniformly all of -the integers from $0$ to $\beta - 1$. +the integers from $0$ to $\beta - 1$. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_rand.c \vspace{-3mm} \begin{alltt} +016 +017 /* makes a pseudo-random int of a given size */ +018 int +019 mp_rand (mp_int * a, int digits) +020 \{ +021 int res; +022 mp_digit d; +023 +024 mp_zero (a); +025 if (digits <= 0) \{ +026 return MP_OKAY; +027 \} +028 +029 /* first place a random non-zero digit */ +030 do \{ +031 d = ((mp_digit) abs (MP_GEN_RANDOM())) & MP_MASK; +032 \} while (d == 0); +033 +034 if ((res = mp_add_d (a, d, a)) != MP_OKAY) \{ +035 return res; +036 \} +037 +038 while (--digits > 0) \{ +039 if ((res = mp_lshd (a, 1)) != MP_OKAY) \{ +040 return res; +041 \} +042 +043 if ((res = mp_add_d (a, ((mp_digit) abs (MP_GEN_RANDOM())), a)) != MP_OK + AY) \{ +044 return res; +045 \} +046 \} +047 +048 return MP_OKAY; +049 \} +050 #endif +051 \end{alltt} \end{small} @@ -5779,7 +9333,7 @@ be given a string of characters such as ``114585'' and turn it into the radix-$\ into a program. \subsection{Reading Radix-n Input} -For the purposes of this text we will assume that a simple lower ASCII map (\ref{fig:ASC}) is used for the values of from $0$ to $63$ to +For the purposes of this text we will assume that a simple lower ASCII map (\ref{fig:ASC}) is used for the values of from $0$ to $63$ to printable characters. For example, when the character ``N'' is read it represents the integer $23$. The first $16$ characters of the map are for the common representations up to hexadecimal. After that they match the ``base64'' encoding scheme which are suitable chosen such that they are printable. While outputting as base64 may not be too helpful for human operators it does allow communication via non binary @@ -5789,7 +9343,7 @@ mediums. \begin{center} \begin{tabular}{cc|cc|cc|cc} \hline \textbf{Value} & \textbf{Char} & \textbf{Value} & \textbf{Char} & \textbf{Value} & \textbf{Char} & \textbf{Value} & \textbf{Char} \\ -\hline +\hline 0 & 0 & 1 & 1 & 2 & 2 & 3 & 3 \\ 4 & 4 & 5 & 5 & 6 & 6 & 7 & 7 \\ 8 & 8 & 9 & 9 & 10 & A & 11 & B \\ @@ -5843,7 +9397,7 @@ mediums. \caption{Algorithm mp\_read\_radix} \end{figure} \textbf{Algorithm mp\_read\_radix.} -This algorithm will read an ASCII string and produce the radix-$\beta$ mp\_int representation of the same integer. A minus symbol ``-'' may precede the +This algorithm will read an ASCII string and produce the radix-$\beta$ mp\_int representation of the same integer. A minus symbol ``-'' may precede the string to indicate the value is negative, otherwise it is assumed to be positive. The algorithm will read up to $sn$ characters from the input and will stop when it reads a character it cannot map the algorithm stops reading characters from the string. This allows numbers to be embedded as part of larger input without any significant problem. @@ -5852,11 +9406,77 @@ as part of larger input without any significant problem. \hspace{-5.1mm}{\bf File}: bn\_mp\_read\_radix.c \vspace{-3mm} \begin{alltt} +016 +017 /* read a string [ASCII] in a given radix */ +018 int mp_read_radix (mp_int * a, const char *str, int radix) +019 \{ +020 int y, res, neg; +021 char ch; +022 +023 /* zero the digit bignum */ +024 mp_zero(a); +025 +026 /* make sure the radix is ok */ +027 if ((radix < 2) || (radix > 64)) \{ +028 return MP_VAL; +029 \} +030 +031 /* if the leading digit is a +032 * minus set the sign to negative. +033 */ +034 if (*str == '-') \{ +035 ++str; +036 neg = MP_NEG; +037 \} else \{ +038 neg = MP_ZPOS; +039 \} +040 +041 /* set the integer to the default of zero */ +042 mp_zero (a); +043 +044 /* process each digit of the string */ +045 while (*str != '\symbol{92}0') \{ +046 /* if the radix <= 36 the conversion is case insensitive +047 * this allows numbers like 1AB and 1ab to represent the same value +048 * [e.g. in hex] +049 */ +050 ch = (radix <= 36) ? (char)toupper((int)*str) : *str; +051 for (y = 0; y < 64; y++) \{ +052 if (ch == mp_s_rmap[y]) \{ +053 break; +054 \} +055 \} +056 +057 /* if the char was found in the map +058 * and is less than the given radix add it +059 * to the number, otherwise exit the loop. +060 */ +061 if (y < radix) \{ +062 if ((res = mp_mul_d (a, (mp_digit) radix, a)) != MP_OKAY) \{ +063 return res; +064 \} +065 if ((res = mp_add_d (a, (mp_digit) y, a)) != MP_OKAY) \{ +066 return res; +067 \} +068 \} else \{ +069 break; +070 \} +071 ++str; +072 \} +073 +074 /* set the sign only if a != 0 */ +075 if (mp_iszero(a) != MP_YES) \{ +076 a->sign = neg; +077 \} +078 return MP_OKAY; +079 \} +080 #endif +081 \end{alltt} \end{small} \subsection{Generating Radix-$n$ Output} -Generating radix-$n$ output is fairly trivial with a division and remainder algorithm. +Generating radix-$n$ output is fairly trivial with a division and remainder algorithm. \newpage\begin{figure}[!here] \begin{small} @@ -5890,10 +9510,10 @@ Generating radix-$n$ output is fairly trivial with a division and remainder algo \caption{Algorithm mp\_toradix} \end{figure} \textbf{Algorithm mp\_toradix.} -This algorithm computes the radix-$r$ representation of an mp\_int $a$. The ``digits'' of the representation are extracted by reducing +This algorithm computes the radix-$r$ representation of an mp\_int $a$. The ``digits'' of the representation are extracted by reducing successive powers of $\lfloor a / r^k \rfloor$ the input modulo $r$ until $r^k > a$. Note that instead of actually dividing by $r^k$ in each iteration the quotient $\lfloor a / r \rfloor$ is saved for the next iteration. As a result a series of trivial $n \times 1$ divisions -are required instead of a series of $n \times k$ divisions. One design flaw of this approach is that the digits are produced in the reverse order +are required instead of a series of $n \times k$ divisions. One design flaw of this approach is that the digits are produced in the reverse order (see~\ref{fig:mpradix}). To remedy this flaw the digits must be swapped or simply ``reversed''. \begin{figure} @@ -5916,11 +9536,67 @@ are required instead of a series of $n \times k$ divisions. One design flaw of \hspace{-5.1mm}{\bf File}: bn\_mp\_toradix.c \vspace{-3mm} \begin{alltt} +016 +017 /* stores a bignum as a ASCII string in a given radix (2..64) */ +018 int mp_toradix (mp_int * a, char *str, int radix) +019 \{ +020 int res, digs; +021 mp_int t; +022 mp_digit d; +023 char *_s = str; +024 +025 /* check range of the radix */ +026 if ((radix < 2) || (radix > 64)) \{ +027 return MP_VAL; +028 \} +029 +030 /* quick out if its zero */ +031 if (mp_iszero(a) == MP_YES) \{ +032 *str++ = '0'; +033 *str = '\symbol{92}0'; +034 return MP_OKAY; +035 \} +036 +037 if ((res = mp_init_copy (&t, a)) != MP_OKAY) \{ +038 return res; +039 \} +040 +041 /* if it is negative output a - */ +042 if (t.sign == MP_NEG) \{ +043 ++_s; +044 *str++ = '-'; +045 t.sign = MP_ZPOS; +046 \} +047 +048 digs = 0; +049 while (mp_iszero (&t) == MP_NO) \{ +050 if ((res = mp_div_d (&t, (mp_digit) radix, &t, &d)) != MP_OKAY) \{ +051 mp_clear (&t); +052 return res; +053 \} +054 *str++ = mp_s_rmap[d]; +055 ++digs; +056 \} +057 +058 /* reverse the digits of the string. In this case _s points +059 * to the first digit [exluding the sign] of the number] +060 */ +061 bn_reverse ((unsigned char *)_s, digs); +062 +063 /* append a NULL so the string is properly terminated */ +064 *str = '\symbol{92}0'; +065 +066 mp_clear (&t); +067 return MP_OKAY; +068 \} +069 +070 #endif +071 \end{alltt} \end{small} \chapter{Number Theoretic Algorithms} -This chapter discusses several fundamental number theoretic algorithms such as the greatest common divisor, least common multiple and Jacobi +This chapter discusses several fundamental number theoretic algorithms such as the greatest common divisor, least common multiple and Jacobi symbol computation. These algorithms arise as essential components in several key cryptographic algorithms such as the RSA public key algorithm and various Sieve based factoring algorithms. @@ -5930,7 +9606,7 @@ both $a$ and $b$. That is, $k$ is the largest integer such that $0 \equiv a \mb simultaneously. The most common approach (cite) is to reduce one input modulo another. That is if $a$ and $b$ are divisible by some integer $k$ and if $qa + r = b$ then -$r$ is also divisible by $k$. The reduction pattern follows $\left < a , b \right > \rightarrow \left < b, a \mbox{ mod } b \right >$. +$r$ is also divisible by $k$. The reduction pattern follows $\left < a , b \right > \rightarrow \left < b, a \mbox{ mod } b \right >$. \newpage\begin{figure}[!here] \begin{small} @@ -5954,9 +9630,9 @@ $r$ is also divisible by $k$. The reduction pattern follows $\left < a , b \rig \end{figure} This algorithm will quickly converge on the greatest common divisor since the residue $r$ tends diminish rapidly. However, divisions are -relatively expensive operations to perform and should ideally be avoided. There is another approach based on a similar relationship of -greatest common divisors. The faster approach is based on the observation that if $k$ divides both $a$ and $b$ it will also divide $a - b$. -In particular, we would like $a - b$ to decrease in magnitude which implies that $b \ge a$. +relatively expensive operations to perform and should ideally be avoided. There is another approach based on a similar relationship of +greatest common divisors. The faster approach is based on the observation that if $k$ divides both $a$ and $b$ it will also divide $a - b$. +In particular, we would like $a - b$ to decrease in magnitude which implies that $b \ge a$. \begin{figure}[!here] \begin{small} @@ -5980,17 +9656,17 @@ In particular, we would like $a - b$ to decrease in magnitude which implies that \textbf{Proof} \textit{Algorithm~\ref{fig:gcd2} will return the greatest common divisor of $a$ and $b$.} The algorithm in figure~\ref{fig:gcd2} will eventually terminate since $b \ge a$ the subtraction in step 1.2 will be a value less than $b$. In other -words in every iteration that tuple $\left < a, b \right >$ decrease in magnitude until eventually $a = b$. Since both $a$ and $b$ are always -divisible by the greatest common divisor (\textit{until the last iteration}) and in the last iteration of the algorithm $b = 0$, therefore, in the +words in every iteration that tuple $\left < a, b \right >$ decrease in magnitude until eventually $a = b$. Since both $a$ and $b$ are always +divisible by the greatest common divisor (\textit{until the last iteration}) and in the last iteration of the algorithm $b = 0$, therefore, in the second to last iteration of the algorithm $b = a$ and clearly $(a, a) = a$ which concludes the proof. \textbf{QED}. -As a matter of practicality algorithm \ref{fig:gcd1} decreases far too slowly to be useful. Specially if $b$ is much larger than $a$ such that +As a matter of practicality algorithm \ref{fig:gcd1} decreases far too slowly to be useful. Specially if $b$ is much larger than $a$ such that $b - a$ is still very much larger than $a$. A simple addition to the algorithm is to divide $b - a$ by a power of some integer $p$ which does not divide the greatest common divisor but will divide $b - a$. In this case ${b - a} \over p$ is also an integer and still divisible by the greatest common divisor. -However, instead of factoring $b - a$ to find a suitable value of $p$ the powers of $p$ can be removed from $a$ and $b$ that are in common first. -Then inside the loop whenever $b - a$ is divisible by some power of $p$ it can be safely removed. +However, instead of factoring $b - a$ to find a suitable value of $p$ the powers of $p$ can be removed from $a$ and $b$ that are in common first. +Then inside the loop whenever $b - a$ is divisible by some power of $p$ it can be safely removed. \begin{figure}[!here] \begin{small} @@ -6023,14 +9699,14 @@ Then inside the loop whenever $b - a$ is divisible by some power of $p$ it can b \label{fig:gcd3} \end{figure} -This algorithm is based on the first except it removes powers of $p$ first and inside the main loop to ensure the tuple $\left < a, b \right >$ +This algorithm is based on the first except it removes powers of $p$ first and inside the main loop to ensure the tuple $\left < a, b \right >$ decreases more rapidly. The first loop on step two removes powers of $p$ that are in common. A count, $k$, is kept which will present a common -divisor of $p^k$. After step two the remaining common divisor of $a$ and $b$ cannot be divisible by $p$. This means that $p$ can be safely -divided out of the difference $b - a$ so long as the division leaves no remainder. +divisor of $p^k$. After step two the remaining common divisor of $a$ and $b$ cannot be divisible by $p$. This means that $p$ can be safely +divided out of the difference $b - a$ so long as the division leaves no remainder. In particular the value of $p$ should be chosen such that the division on step 5.3.1 occur often. It also helps that division by $p$ be easy to compute. The ideal choice of $p$ is two since division by two amounts to a right logical shift. Another important observation is that by -step five both $a$ and $b$ are odd. Therefore, the diffrence $b - a$ must be even which means that each iteration removes one bit from the +step five both $a$ and $b$ are odd. Therefore, the diffrence $b - a$ must be even which means that each iteration removes one bit from the largest of the pair. \subsection{Complete Greatest Common Divisor} @@ -6078,15 +9754,15 @@ and will produce the greatest common divisor. \textbf{Algorithm mp\_gcd.} This algorithm will produce the greatest common divisor of two mp\_ints $a$ and $b$. The algorithm was originally based on Algorithm B of Knuth \cite[pp. 338]{TAOCPV2} but has been modified to be simpler to explain. In theory it achieves the same asymptotic working time as -Algorithm B and in practice this appears to be true. +Algorithm B and in practice this appears to be true. -The first two steps handle the cases where either one of or both inputs are zero. If either input is zero the greatest common divisor is the -largest input or zero if they are both zero. If the inputs are not trivial than $u$ and $v$ are assigned the absolute values of +The first two steps handle the cases where either one of or both inputs are zero. If either input is zero the greatest common divisor is the +largest input or zero if they are both zero. If the inputs are not trivial than $u$ and $v$ are assigned the absolute values of $a$ and $b$ respectively and the algorithm will proceed to reduce the pair. Step five will divide out any common factors of two and keep track of the count in the variable $k$. After this step, two is no longer a -factor of the remaining greatest common divisor between $u$ and $v$ and can be safely evenly divided out of either whenever they are even. Step -six and seven ensure that the $u$ and $v$ respectively have no more factors of two. At most only one of the while--loops will iterate since +factor of the remaining greatest common divisor between $u$ and $v$ and can be safely evenly divided out of either whenever they are even. Step +six and seven ensure that the $u$ and $v$ respectively have no more factors of two. At most only one of the while--loops will iterate since they cannot both be even. By step eight both of $u$ and $v$ are odd which is required for the inner logic. First the pair are swapped such that $v$ is equal to @@ -6094,29 +9770,115 @@ or greater than $u$. This ensures that the subtraction on step 8.2 will always factors of two from the difference $u$ to ensure that in the next iteration of the loop both are once again odd. After $v = 0$ occurs the variable $u$ has the greatest common divisor of the pair $\left < u, v \right >$ just after step six. The result -must be adjusted by multiplying by the common factors of two ($2^k$) removed earlier. +must be adjusted by multiplying by the common factors of two ($2^k$) removed earlier. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_gcd.c \vspace{-3mm} \begin{alltt} +016 +017 /* Greatest Common Divisor using the binary method */ +018 int mp_gcd (mp_int * a, mp_int * b, mp_int * c) +019 \{ +020 mp_int u, v; +021 int k, u_lsb, v_lsb, res; +022 +023 /* either zero than gcd is the largest */ +024 if (mp_iszero (a) == MP_YES) \{ +025 return mp_abs (b, c); +026 \} +027 if (mp_iszero (b) == MP_YES) \{ +028 return mp_abs (a, c); +029 \} +030 +031 /* get copies of a and b we can modify */ +032 if ((res = mp_init_copy (&u, a)) != MP_OKAY) \{ +033 return res; +034 \} +035 +036 if ((res = mp_init_copy (&v, b)) != MP_OKAY) \{ +037 goto LBL_U; +038 \} +039 +040 /* must be positive for the remainder of the algorithm */ +041 u.sign = v.sign = MP_ZPOS; +042 +043 /* B1. Find the common power of two for u and v */ +044 u_lsb = mp_cnt_lsb(&u); +045 v_lsb = mp_cnt_lsb(&v); +046 k = MIN(u_lsb, v_lsb); +047 +048 if (k > 0) \{ +049 /* divide the power of two out */ +050 if ((res = mp_div_2d(&u, k, &u, NULL)) != MP_OKAY) \{ +051 goto LBL_V; +052 \} +053 +054 if ((res = mp_div_2d(&v, k, &v, NULL)) != MP_OKAY) \{ +055 goto LBL_V; +056 \} +057 \} +058 +059 /* divide any remaining factors of two out */ +060 if (u_lsb != k) \{ +061 if ((res = mp_div_2d(&u, u_lsb - k, &u, NULL)) != MP_OKAY) \{ +062 goto LBL_V; +063 \} +064 \} +065 +066 if (v_lsb != k) \{ +067 if ((res = mp_div_2d(&v, v_lsb - k, &v, NULL)) != MP_OKAY) \{ +068 goto LBL_V; +069 \} +070 \} +071 +072 while (mp_iszero(&v) == MP_NO) \{ +073 /* make sure v is the largest */ +074 if (mp_cmp_mag(&u, &v) == MP_GT) \{ +075 /* swap u and v to make sure v is >= u */ +076 mp_exch(&u, &v); +077 \} +078 +079 /* subtract smallest from largest */ +080 if ((res = s_mp_sub(&v, &u, &v)) != MP_OKAY) \{ +081 goto LBL_V; +082 \} +083 +084 /* Divide out all factors of two */ +085 if ((res = mp_div_2d(&v, mp_cnt_lsb(&v), &v, NULL)) != MP_OKAY) \{ +086 goto LBL_V; +087 \} +088 \} +089 +090 /* multiply by 2**k which we divided out at the beginning */ +091 if ((res = mp_mul_2d (&u, k, c)) != MP_OKAY) \{ +092 goto LBL_V; +093 \} +094 c->sign = MP_ZPOS; +095 res = MP_OKAY; +096 LBL_V:mp_clear (&u); +097 LBL_U:mp_clear (&v); +098 return res; +099 \} +100 #endif +101 \end{alltt} \end{small} -This function makes use of the macros mp\_iszero and mp\_iseven. The former evaluates to $1$ if the input mp\_int is equivalent to the +This function makes use of the macros mp\_iszero and mp\_iseven. The former evaluates to $1$ if the input mp\_int is equivalent to the integer zero otherwise it evaluates to $0$. The latter evaluates to $1$ if the input mp\_int represents a non-zero even integer otherwise -it evaluates to $0$. Note that just because mp\_iseven may evaluate to $0$ does not mean the input is odd, it could also be zero. The three -trivial cases of inputs are handled on lines 24 through 30. After those lines the inputs are assumed to be non-zero. +it evaluates to $0$. Note that just because mp\_iseven may evaluate to $0$ does not mean the input is odd, it could also be zero. The three +trivial cases of inputs are handled on lines 23 through 29. After those lines the inputs are assumed to be non-zero. -Lines 32 and 37 make local copies $u$ and $v$ of the inputs $a$ and $b$ respectively. At this point the common factors of two -must be divided out of the two inputs. The block starting at line 44 removes common factors of two by first counting the number of trailing -zero bits in both. The local integer $k$ is used to keep track of how many factors of $2$ are pulled out of both values. It is assumed that -the number of factors will not exceed the maximum value of a C ``int'' data type\footnote{Strictly speaking no array in C may have more than -entries than are accessible by an ``int'' so this is not a limitation.}. +Lines 32 and 36 make local copies $u$ and $v$ of the inputs $a$ and $b$ respectively. At this point the common factors of two +must be divided out of the two inputs. The block starting at line 43 removes common factors of two by first counting the number of trailing +zero bits in both. The local integer $k$ is used to keep track of how many factors of $2$ are pulled out of both values. It is assumed that +the number of factors will not exceed the maximum value of a C ``int'' data type\footnote{Strictly speaking no array in C may have more than +entries than are accessible by an ``int'' so this is not a limitation.}. -At this point there are no more common factors of two in the two values. The divisions by a power of two on lines 62 and 68 remove +At this point there are no more common factors of two in the two values. The divisions by a power of two on lines 61 and 67 remove any independent factors of two such that both $u$ and $v$ are guaranteed to be an odd integer before hitting the main body of the algorithm. The while loop -on line 73 performs the reduction of the pair until $v$ is equal to zero. The unsigned comparison and subtraction algorithms are used in +on line 72 performs the reduction of the pair until $v$ is equal to zero. The unsigned comparison and subtraction algorithms are used in place of the full signed routines since both values are guaranteed to be positive and the result of the subtraction is guaranteed to be non-negative. \section{Least Common Multiple} @@ -6125,8 +9887,8 @@ least common multiple is normally denoted as $[ a, b ]$ and numerically equivale and $b = 2 \cdot 3 \cdot 3 \cdot 7 = 126$ the least common multiple is ${126 \over {(12, 126)}} = {126 \over 6} = 21$. The least common multiple arises often in coding theory as well as number theory. If two functions have periods of $a$ and $b$ respectively they will -collide, that is be in synchronous states, after only $[ a, b ]$ iterations. This is why, for example, random number generators based on -Linear Feedback Shift Registers (LFSR) tend to use registers with periods which are co-prime (\textit{e.g. the greatest common divisor is one.}). +collide, that is be in synchronous states, after only $[ a, b ]$ iterations. This is why, for example, random number generators based on +Linear Feedback Shift Registers (LFSR) tend to use registers with periods which are co-prime (\textit{e.g. the greatest common divisor is one.}). Similarly in number theory if a composite $n$ has two prime factors $p$ and $q$ then maximal order of any unit of $\Z/n\Z$ will be $[ p - 1, q - 1] $. \begin{figure}[!here] @@ -6155,11 +9917,52 @@ dividing the product of the two inputs by their greatest common divisor. \hspace{-5.1mm}{\bf File}: bn\_mp\_lcm.c \vspace{-3mm} \begin{alltt} +016 +017 /* computes least common multiple as |a*b|/(a, b) */ +018 int mp_lcm (mp_int * a, mp_int * b, mp_int * c) +019 \{ +020 int res; +021 mp_int t1, t2; +022 +023 +024 if ((res = mp_init_multi (&t1, &t2, NULL)) != MP_OKAY) \{ +025 return res; +026 \} +027 +028 /* t1 = get the GCD of the two inputs */ +029 if ((res = mp_gcd (a, b, &t1)) != MP_OKAY) \{ +030 goto LBL_T; +031 \} +032 +033 /* divide the smallest by the GCD */ +034 if (mp_cmp_mag(a, b) == MP_LT) \{ +035 /* store quotient in t2 such that t2 * b is the LCM */ +036 if ((res = mp_div(a, &t1, &t2, NULL)) != MP_OKAY) \{ +037 goto LBL_T; +038 \} +039 res = mp_mul(b, &t2, c); +040 \} else \{ +041 /* store quotient in t2 such that t2 * a is the LCM */ +042 if ((res = mp_div(b, &t1, &t2, NULL)) != MP_OKAY) \{ +043 goto LBL_T; +044 \} +045 res = mp_mul(a, &t2, c); +046 \} +047 +048 /* fix the sign to positive */ +049 c->sign = MP_ZPOS; +050 +051 LBL_T: +052 mp_clear_multi (&t1, &t2, NULL); +053 return res; +054 \} +055 #endif +056 \end{alltt} \end{small} \section{Jacobi Symbol Computation} -To explain the Jacobi Symbol we shall first discuss the Legendre function\footnote{Arrg. What is the name of this?} off which the Jacobi symbol is +To explain the Jacobi Symbol we shall first discuss the Legendre function\footnote{Arrg. What is the name of this?} off which the Jacobi symbol is defined. The Legendre function computes whether or not an integer $a$ is a quadratic residue modulo an odd prime $p$. Numerically it is equivalent to equation \ref{eqn:legendre}. @@ -6169,9 +9972,9 @@ equivalent to equation \ref{eqn:legendre}. a^{(p-1)/2} \equiv \begin{array}{rl} -1 & \mbox{if }a\mbox{ is a quadratic non-residue.} \\ 0 & \mbox{if }a\mbox{ divides }p\mbox{.} \\ - 1 & \mbox{if }a\mbox{ is a quadratic residue}. + 1 & \mbox{if }a\mbox{ is a quadratic residue}. \end{array} \mbox{ (mod }p\mbox{)} -\label{eqn:legendre} +\label{eqn:legendre} \end{equation} \textbf{Proof.} \textit{Equation \ref{eqn:legendre} correctly identifies the residue status of an integer $a$ modulo a prime $p$.} @@ -6195,7 +9998,7 @@ then the quantity in the braces must be zero. By reduction, \begin{eqnarray} \left (x^2 \right )^{(p-1)/2} - a^{(p-1)/2} \equiv 0 \nonumber \\ \left (x^2 \right )^{(p-1)/2} \equiv a^{(p-1)/2} \nonumber \\ -x^2 \equiv a \mbox{ (mod }p\mbox{)} +x^2 \equiv a \mbox{ (mod }p\mbox{)} \end{eqnarray} As a result there must be a solution to the quadratic equation and in turn $a$ must be a quadratic residue. If $a$ does not divide $p$ and $a$ @@ -6215,47 +10018,47 @@ the Jacobi symbol $\left ( { a \over p } \right )$ is equal to the following equ By inspection if $p$ is prime the Jacobi symbol is equivalent to the Legendre function. The following facts\footnote{See HAC \cite[pp. 72-74]{HAC} for further details.} will be used to derive an efficient Jacobi symbol algorithm. Where $p$ is an odd integer greater than two and $a, b \in \Z$ the -following are true. +following are true. \begin{enumerate} -\item $\left ( { a \over p} \right )$ equals $-1$, $0$ or $1$. +\item $\left ( { a \over p} \right )$ equals $-1$, $0$ or $1$. \item $\left ( { ab \over p} \right ) = \left ( { a \over p} \right )\left ( { b \over p} \right )$. \item If $a \equiv b$ then $\left ( { a \over p} \right ) = \left ( { b \over p} \right )$. \item $\left ( { 2 \over p} \right )$ equals $1$ if $p \equiv 1$ or $7 \mbox{ (mod }8\mbox{)}$. Otherwise, it equals $-1$. -\item $\left ( { a \over p} \right ) \equiv \left ( { p \over a} \right ) \cdot (-1)^{(p-1)(a-1)/4}$. More specifically -$\left ( { a \over p} \right ) = \left ( { p \over a} \right )$ if $p \equiv a \equiv 1 \mbox{ (mod }4\mbox{)}$. +\item $\left ( { a \over p} \right ) \equiv \left ( { p \over a} \right ) \cdot (-1)^{(p-1)(a-1)/4}$. More specifically +$\left ( { a \over p} \right ) = \left ( { p \over a} \right )$ if $p \equiv a \equiv 1 \mbox{ (mod }4\mbox{)}$. \end{enumerate} Using these facts if $a = 2^k \cdot a'$ then \begin{eqnarray} \left ( { a \over p } \right ) = \left ( {{2^k} \over p } \right ) \left ( {a' \over p} \right ) \nonumber \\ - = \left ( {2 \over p } \right )^k \left ( {a' \over p} \right ) + = \left ( {2 \over p } \right )^k \left ( {a' \over p} \right ) \label{eqn:jacobi} \end{eqnarray} -By fact five, +By fact five, \begin{equation} -\left ( { a \over p } \right ) = \left ( { p \over a } \right ) \cdot (-1)^{(p-1)(a-1)/4} +\left ( { a \over p } \right ) = \left ( { p \over a } \right ) \cdot (-1)^{(p-1)(a-1)/4} \end{equation} -Subsequently by fact three since $p \equiv (p \mbox{ mod }a) \mbox{ (mod }a\mbox{)}$ then +Subsequently by fact three since $p \equiv (p \mbox{ mod }a) \mbox{ (mod }a\mbox{)}$ then \begin{equation} -\left ( { a \over p } \right ) = \left ( { {p \mbox{ mod } a} \over a } \right ) \cdot (-1)^{(p-1)(a-1)/4} +\left ( { a \over p } \right ) = \left ( { {p \mbox{ mod } a} \over a } \right ) \cdot (-1)^{(p-1)(a-1)/4} \end{equation} By putting both observations into equation \ref{eqn:jacobi} the following simplified equation is formed. \begin{equation} -\left ( { a \over p } \right ) = \left ( {2 \over p } \right )^k \left ( {{p\mbox{ mod }a'} \over a'} \right ) \cdot (-1)^{(p-1)(a'-1)/4} +\left ( { a \over p } \right ) = \left ( {2 \over p } \right )^k \left ( {{p\mbox{ mod }a'} \over a'} \right ) \cdot (-1)^{(p-1)(a'-1)/4} \end{equation} -The value of $\left ( {{p \mbox{ mod }a'} \over a'} \right )$ can be found by using the same equation recursively. The value of -$\left ( {2 \over p } \right )^k$ equals $1$ if $k$ is even otherwise it equals $\left ( {2 \over p } \right )$. Using this approach the -factors of $p$ do not have to be known. Furthermore, if $(a, p) = 1$ then the algorithm will terminate when the recursion requests the -Jacobi symbol computation of $\left ( {1 \over a'} \right )$ which is simply $1$. +The value of $\left ( {{p \mbox{ mod }a'} \over a'} \right )$ can be found by using the same equation recursively. The value of +$\left ( {2 \over p } \right )^k$ equals $1$ if $k$ is even otherwise it equals $\left ( {2 \over p } \right )$. Using this approach the +factors of $p$ do not have to be known. Furthermore, if $(a, p) = 1$ then the algorithm will terminate when the recursion requests the +Jacobi symbol computation of $\left ( {1 \over a'} \right )$ which is simply $1$. \newpage\begin{figure}[!here] \begin{small} @@ -6299,12 +10102,12 @@ Jacobi symbol computation of $\left ( {1 \over a'} \right )$ which is simply $1$ \end{figure} \textbf{Algorithm mp\_jacobi.} This algorithm computes the Jacobi symbol for an arbitrary positive integer $a$ with respect to an odd integer $p$ greater than three. The algorithm -is based on algorithm 2.149 of HAC \cite[pp. 73]{HAC}. +is based on algorithm 2.149 of HAC \cite[pp. 73]{HAC}. Step numbers one and two handle the trivial cases of $a = 0$ and $a = 1$ respectively. Step five determines the number of two factors in the -input $a$. If $k$ is even than the term $\left ( { 2 \over p } \right )^k$ must always evaluate to one. If $k$ is odd than the term evaluates to one -if $p_0$ is congruent to one or seven modulo eight, otherwise it evaluates to $-1$. After the the $\left ( { 2 \over p } \right )^k$ term is handled -the $(-1)^{(p-1)(a'-1)/4}$ is computed and multiplied against the current product $s$. The latter term evaluates to one if both $p$ and $a'$ +input $a$. If $k$ is even than the term $\left ( { 2 \over p } \right )^k$ must always evaluate to one. If $k$ is odd than the term evaluates to one +if $p_0$ is congruent to one or seven modulo eight, otherwise it evaluates to $-1$. After the the $\left ( { 2 \over p } \right )^k$ term is handled +the $(-1)^{(p-1)(a'-1)/4}$ is computed and multiplied against the current product $s$. The latter term evaluates to one if both $p$ and $a'$ are congruent to one modulo four, otherwise it evaluates to negative one. By step nine if $a'$ does not equal one a recursion is required. Step 9.1 computes $p' \equiv p \mbox{ (mod }a'\mbox{)}$ and will recurse to compute @@ -6314,25 +10117,123 @@ $\left ( {p' \over a'} \right )$ which is multiplied against the current Jacobi \hspace{-5.1mm}{\bf File}: bn\_mp\_jacobi.c \vspace{-3mm} \begin{alltt} +016 +017 /* computes the jacobi c = (a | n) (or Legendre if n is prime) +018 * HAC pp. 73 Algorithm 2.149 +019 * HAC is wrong here, as the special case of (0 | 1) is not +020 * handled correctly. +021 */ +022 int mp_jacobi (mp_int * a, mp_int * n, int *c) +023 \{ +024 mp_int a1, p1; +025 int k, s, r, res; +026 mp_digit residue; +027 +028 /* if a < 0 return MP_VAL */ +029 if (mp_isneg(a) == MP_YES) \{ +030 return MP_VAL; +031 \} +032 +033 /* if n <= 0 return MP_VAL */ +034 if (mp_cmp_d(n, 0) != MP_GT) \{ +035 return MP_VAL; +036 \} +037 +038 /* step 1. handle case of a == 0 */ +039 if (mp_iszero (a) == MP_YES) \{ +040 /* special case of a == 0 and n == 1 */ +041 if (mp_cmp_d (n, 1) == MP_EQ) \{ +042 *c = 1; +043 \} else \{ +044 *c = 0; +045 \} +046 return MP_OKAY; +047 \} +048 +049 /* step 2. if a == 1, return 1 */ +050 if (mp_cmp_d (a, 1) == MP_EQ) \{ +051 *c = 1; +052 return MP_OKAY; +053 \} +054 +055 /* default */ +056 s = 0; +057 +058 /* step 3. write a = a1 * 2**k */ +059 if ((res = mp_init_copy (&a1, a)) != MP_OKAY) \{ +060 return res; +061 \} +062 +063 if ((res = mp_init (&p1)) != MP_OKAY) \{ +064 goto LBL_A1; +065 \} +066 +067 /* divide out larger power of two */ +068 k = mp_cnt_lsb(&a1); +069 if ((res = mp_div_2d(&a1, k, &a1, NULL)) != MP_OKAY) \{ +070 goto LBL_P1; +071 \} +072 +073 /* step 4. if e is even set s=1 */ +074 if ((k & 1) == 0) \{ +075 s = 1; +076 \} else \{ +077 /* else set s=1 if p = 1/7 (mod 8) or s=-1 if p = 3/5 (mod 8) */ +078 residue = n->dp[0] & 7; +079 +080 if ((residue == 1) || (residue == 7)) \{ +081 s = 1; +082 \} else if ((residue == 3) || (residue == 5)) \{ +083 s = -1; +084 \} +085 \} +086 +087 /* step 5. if p == 3 (mod 4) *and* a1 == 3 (mod 4) then s = -s */ +088 if ( ((n->dp[0] & 3) == 3) && ((a1.dp[0] & 3) == 3)) \{ +089 s = -s; +090 \} +091 +092 /* if a1 == 1 we're done */ +093 if (mp_cmp_d (&a1, 1) == MP_EQ) \{ +094 *c = s; +095 \} else \{ +096 /* n1 = n mod a1 */ +097 if ((res = mp_mod (n, &a1, &p1)) != MP_OKAY) \{ +098 goto LBL_P1; +099 \} +100 if ((res = mp_jacobi (&p1, &a1, &r)) != MP_OKAY) \{ +101 goto LBL_P1; +102 \} +103 *c = s * r; +104 \} +105 +106 /* done */ +107 res = MP_OKAY; +108 LBL_P1:mp_clear (&p1); +109 LBL_A1:mp_clear (&a1); +110 return res; +111 \} +112 #endif +113 \end{alltt} \end{small} -As a matter of practicality the variable $a'$ as per the pseudo-code is reprensented by the variable $a1$ since the $'$ symbol is not valid for a C -variable name character. +As a matter of practicality the variable $a'$ as per the pseudo-code is reprensented by the variable $a1$ since the $'$ symbol is not valid for a C +variable name character. The two simple cases of $a = 0$ and $a = 1$ are handled at the very beginning to simplify the algorithm. If the input is non-trivial the algorithm has to proceed compute the Jacobi. The variable $s$ is used to hold the current Jacobi product. Note that $s$ is merely a C ``int'' data type since -the values it may obtain are merely $-1$, $0$ and $1$. +the values it may obtain are merely $-1$, $0$ and $1$. After a local copy of $a$ is made all of the factors of two are divided out and the total stored in $k$. Technically only the least significant -bit of $k$ is required, however, it makes the algorithm simpler to follow to perform an addition. In practice an exclusive-or and addition have the same +bit of $k$ is required, however, it makes the algorithm simpler to follow to perform an addition. In practice an exclusive-or and addition have the same processor requirements and neither is faster than the other. -Line 58 through 71 determines the value of $\left ( { 2 \over p } \right )^k$. If the least significant bit of $k$ is zero than +Line 59 through 71 determines the value of $\left ( { 2 \over p } \right )^k$. If the least significant bit of $k$ is zero than $k$ is even and the value is one. Otherwise, the value of $s$ depends on which residue class $p$ belongs to modulo eight. The value of -$(-1)^{(p-1)(a'-1)/4}$ is compute and multiplied against $s$ on lines 71 through 74. +$(-1)^{(p-1)(a'-1)/4}$ is compute and multiplied against $s$ on lines 73 through 76. -Finally, if $a1$ does not equal one the algorithm must recurse and compute $\left ( {p' \over a'} \right )$. +Finally, if $a1$ does not equal one the algorithm must recurse and compute $\left ( {p' \over a'} \right )$. \textit{-- Comment about default $s$ and such...} @@ -6340,31 +10241,31 @@ Finally, if $a1$ does not equal one the algorithm must recurse and compute $\lef \label{sec:modinv} The modular inverse of a number actually refers to the modular multiplicative inverse. Essentially for any integer $a$ such that $(a, p) = 1$ there exist another integer $b$ such that $ab \equiv 1 \mbox{ (mod }p\mbox{)}$. The integer $b$ is called the multiplicative inverse of $a$ which is -denoted as $b = a^{-1}$. Technically speaking modular inversion is a well defined operation for any finite ring or field not just for rings and +denoted as $b = a^{-1}$. Technically speaking modular inversion is a well defined operation for any finite ring or field not just for rings and fields of integers. However, the former will be the matter of discussion. -The simplest approach is to compute the algebraic inverse of the input. That is to compute $b \equiv a^{\Phi(p) - 1}$. If $\Phi(p)$ is the +The simplest approach is to compute the algebraic inverse of the input. That is to compute $b \equiv a^{\Phi(p) - 1}$. If $\Phi(p)$ is the order of the multiplicative subgroup modulo $p$ then $b$ must be the multiplicative inverse of $a$. The proof of which is trivial. \begin{equation} ab \equiv a \left (a^{\Phi(p) - 1} \right ) \equiv a^{\Phi(p)} \equiv a^0 \equiv 1 \mbox{ (mod }p\mbox{)} \end{equation} -However, as simple as this approach may be it has two serious flaws. It requires that the value of $\Phi(p)$ be known which if $p$ is composite -requires all of the prime factors. This approach also is very slow as the size of $p$ grows. +However, as simple as this approach may be it has two serious flaws. It requires that the value of $\Phi(p)$ be known which if $p$ is composite +requires all of the prime factors. This approach also is very slow as the size of $p$ grows. -A simpler approach is based on the observation that solving for the multiplicative inverse is equivalent to solving the linear +A simpler approach is based on the observation that solving for the multiplicative inverse is equivalent to solving the linear Diophantine\footnote{See LeVeque \cite[pp. 40-43]{LeVeque} for more information.} equation. \begin{equation} ab + pq = 1 \end{equation} -Where $a$, $b$, $p$ and $q$ are all integers. If such a pair of integers $ \left < b, q \right >$ exist than $b$ is the multiplicative inverse of -$a$ modulo $p$. The extended Euclidean algorithm (Knuth \cite[pp. 342]{TAOCPV2}) can be used to solve such equations provided $(a, p) = 1$. +Where $a$, $b$, $p$ and $q$ are all integers. If such a pair of integers $ \left < b, q \right >$ exist than $b$ is the multiplicative inverse of +$a$ modulo $p$. The extended Euclidean algorithm (Knuth \cite[pp. 342]{TAOCPV2}) can be used to solve such equations provided $(a, p) = 1$. However, instead of using that algorithm directly a variant known as the binary Extended Euclidean algorithm will be used in its place. The -binary approach is very similar to the binary greatest common divisor algorithm except it will produce a full solution to the Diophantine -equation. +binary approach is very similar to the binary greatest common divisor algorithm except it will produce a full solution to the Diophantine +equation. \subsection{General Case} \newpage\begin{figure}[!here] @@ -6416,12 +10317,12 @@ equation. \end{small} \end{figure} \textbf{Algorithm mp\_invmod.} -This algorithm computes the modular multiplicative inverse of an integer $a$ modulo an integer $b$. This algorithm is a variation of the +This algorithm computes the modular multiplicative inverse of an integer $a$ modulo an integer $b$. This algorithm is a variation of the extended binary Euclidean algorithm from HAC \cite[pp. 608]{HAC}. It has been modified to only compute the modular inverse and not a complete -Diophantine solution. +Diophantine solution. If $b \le 0$ than the modulus is invalid and MP\_VAL is returned. Similarly if both $a$ and $b$ are even then there cannot be a multiplicative -inverse for $a$ and the error is reported. +inverse for $a$ and the error is reported. The astute reader will observe that steps seven through nine are very similar to the binary greatest common divisor algorithm mp\_gcd. In this case the other variables to the Diophantine equation are solved. The algorithm terminates when $u = 0$ in which case the solution is @@ -6431,36 +10332,60 @@ Ca + Db = v \end{equation} If $v$, the greatest common divisor of $a$ and $b$ is not equal to one then the algorithm will report an error as no inverse exists. Otherwise, $C$ -is the modular inverse of $a$. The actual value of $C$ is congruent to, but not necessarily equal to, the ideal modular inverse which should lie -within $1 \le a^{-1} < b$. Step numbers twelve and thirteen adjust the inverse until it is in range. If the original input $a$ is within $0 < a < p$ +is the modular inverse of $a$. The actual value of $C$ is congruent to, but not necessarily equal to, the ideal modular inverse which should lie +within $1 \le a^{-1} < b$. Step numbers twelve and thirteen adjust the inverse until it is in range. If the original input $a$ is within $0 < a < p$ then only a couple of additions or subtractions will be required to adjust the inverse. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_invmod.c \vspace{-3mm} \begin{alltt} +016 +017 /* hac 14.61, pp608 */ +018 int mp_invmod (mp_int * a, mp_int * b, mp_int * c) +019 \{ +020 /* b cannot be negative */ +021 if ((b->sign == MP_NEG) || (mp_iszero(b) == MP_YES)) \{ +022 return MP_VAL; +023 \} +024 +025 #ifdef BN_FAST_MP_INVMOD_C +026 /* if the modulus is odd we can use a faster routine instead */ +027 if (mp_isodd (b) == MP_YES) \{ +028 return fast_mp_invmod (a, b, c); +029 \} +030 #endif +031 +032 #ifdef BN_MP_INVMOD_SLOW_C +033 return mp_invmod_slow(a, b, c); +034 #else +035 return MP_VAL; +036 #endif +037 \} +038 #endif +039 \end{alltt} \end{small} \subsubsection{Odd Moduli} When the modulus $b$ is odd the variables $A$ and $C$ are fixed and are not required to compute the inverse. In particular by attempting to solve -the Diophantine $Cb + Da = 1$ only $B$ and $D$ are required to find the inverse of $a$. +the Diophantine $Cb + Da = 1$ only $B$ and $D$ are required to find the inverse of $a$. -The algorithm fast\_mp\_invmod is a direct adaptation of algorithm mp\_invmod with all all steps involving either $A$ or $C$ removed. This +The algorithm fast\_mp\_invmod is a direct adaptation of algorithm mp\_invmod with all all steps involving either $A$ or $C$ removed. This optimization will halve the time required to compute the modular inverse. \section{Primality Tests} -A non-zero integer $a$ is said to be prime if it is not divisible by any other integer excluding one and itself. For example, $a = 7$ is prime -since the integers $2 \ldots 6$ do not evenly divide $a$. By contrast, $a = 6$ is not prime since $a = 6 = 2 \cdot 3$. +A non-zero integer $a$ is said to be prime if it is not divisible by any other integer excluding one and itself. For example, $a = 7$ is prime +since the integers $2 \ldots 6$ do not evenly divide $a$. By contrast, $a = 6$ is not prime since $a = 6 = 2 \cdot 3$. Prime numbers arise in cryptography considerably as they allow finite fields to be formed. The ability to determine whether an integer is prime or not quickly has been a viable subject in cryptography and number theory for considerable time. The algorithms that will be presented are all probablistic algorithms in that when they report an integer is composite it must be composite. However, when the algorithms report an integer is -prime the algorithm may be incorrect. +prime the algorithm may be incorrect. -As will be discussed it is possible to limit the probability of error so well that for practical purposes the probablity of error might as +As will be discussed it is possible to limit the probability of error so well that for practical purposes the probablity of error might as well be zero. For the purposes of these discussions let $n$ represent the candidate integer of which the primality is in question. \subsection{Trial Division} @@ -6474,13 +10399,13 @@ of the primes less than $\sqrt{n} + 1$ the algorithm cannot prove if a candidate The benefit of this test is that trial division by small values is fairly efficient. Specially compared to the other algorithms that will be discussed shortly. The probability that this approach correctly identifies a composite candidate when tested with all primes upto $q$ is given by -$1 - {1.12 \over ln(q)}$. The graph (\ref{pic:primality}, will be added later) demonstrates the probability of success for the range -$3 \le q \le 100$. +$1 - {1.12 \over ln(q)}$. The graph (\ref{pic:primality}, will be added later) demonstrates the probability of success for the range +$3 \le q \le 100$. -At approximately $q = 30$ the gain of performing further tests diminishes fairly quickly. At $q = 90$ further testing is generally not going to -be of any practical use. In the case of LibTomMath the default limit $q = 256$ was chosen since it is not too high and will eliminate -approximately $80\%$ of all candidate integers. The constant \textbf{PRIME\_SIZE} is equal to the number of primes in the test base. The -array \_\_prime\_tab is an array of the first \textbf{PRIME\_SIZE} prime numbers. +At approximately $q = 30$ the gain of performing further tests diminishes fairly quickly. At $q = 90$ further testing is generally not going to +be of any practical use. In the case of LibTomMath the default limit $q = 256$ was chosen since it is not too high and will eliminate +approximately $80\%$ of all candidate integers. The constant \textbf{PRIME\_SIZE} is equal to the number of primes in the test base. The +array \_\_prime\_tab is an array of the first \textbf{PRIME\_SIZE} prime numbers. \begin{figure}[!here] \begin{small} @@ -6504,37 +10429,110 @@ array \_\_prime\_tab is an array of the first \textbf{PRIME\_SIZE} prime numbers \caption{Algorithm mp\_prime\_is\_divisible} \end{figure} \textbf{Algorithm mp\_prime\_is\_divisible.} -This algorithm attempts to determine if a candidate integer $n$ is composite by performing trial divisions. +This algorithm attempts to determine if a candidate integer $n$ is composite by performing trial divisions. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_prime\_is\_divisible.c \vspace{-3mm} \begin{alltt} +016 +017 /* determines if an integers is divisible by one +018 * of the first PRIME_SIZE primes or not +019 * +020 * sets result to 0 if not, 1 if yes +021 */ +022 int mp_prime_is_divisible (mp_int * a, int *result) +023 \{ +024 int err, ix; +025 mp_digit res; +026 +027 /* default to not */ +028 *result = MP_NO; +029 +030 for (ix = 0; ix < PRIME_SIZE; ix++) \{ +031 /* what is a mod LBL_prime_tab[ix] */ +032 if ((err = mp_mod_d (a, ltm_prime_tab[ix], &res)) != MP_OKAY) \{ +033 return err; +034 \} +035 +036 /* is the residue zero? */ +037 if (res == 0) \{ +038 *result = MP_YES; +039 return MP_OKAY; +040 \} +041 \} +042 +043 return MP_OKAY; +044 \} +045 #endif +046 \end{alltt} \end{small} -The algorithm defaults to a return of $0$ in case an error occurs. The values in the prime table are all specified to be in the range of a +The algorithm defaults to a return of $0$ in case an error occurs. The values in the prime table are all specified to be in the range of a mp\_digit. The table \_\_prime\_tab is defined in the following file. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_prime\_tab.c \vspace{-3mm} \begin{alltt} +016 const mp_digit ltm_prime_tab[] = \{ +017 0x0002, 0x0003, 0x0005, 0x0007, 0x000B, 0x000D, 0x0011, 0x0013, +018 0x0017, 0x001D, 0x001F, 0x0025, 0x0029, 0x002B, 0x002F, 0x0035, +019 0x003B, 0x003D, 0x0043, 0x0047, 0x0049, 0x004F, 0x0053, 0x0059, +020 0x0061, 0x0065, 0x0067, 0x006B, 0x006D, 0x0071, 0x007F, +021 #ifndef MP_8BIT +022 0x0083, +023 0x0089, 0x008B, 0x0095, 0x0097, 0x009D, 0x00A3, 0x00A7, 0x00AD, +024 0x00B3, 0x00B5, 0x00BF, 0x00C1, 0x00C5, 0x00C7, 0x00D3, 0x00DF, +025 0x00E3, 0x00E5, 0x00E9, 0x00EF, 0x00F1, 0x00FB, 0x0101, 0x0107, +026 0x010D, 0x010F, 0x0115, 0x0119, 0x011B, 0x0125, 0x0133, 0x0137, +027 +028 0x0139, 0x013D, 0x014B, 0x0151, 0x015B, 0x015D, 0x0161, 0x0167, +029 0x016F, 0x0175, 0x017B, 0x017F, 0x0185, 0x018D, 0x0191, 0x0199, +030 0x01A3, 0x01A5, 0x01AF, 0x01B1, 0x01B7, 0x01BB, 0x01C1, 0x01C9, +031 0x01CD, 0x01CF, 0x01D3, 0x01DF, 0x01E7, 0x01EB, 0x01F3, 0x01F7, +032 0x01FD, 0x0209, 0x020B, 0x021D, 0x0223, 0x022D, 0x0233, 0x0239, +033 0x023B, 0x0241, 0x024B, 0x0251, 0x0257, 0x0259, 0x025F, 0x0265, +034 0x0269, 0x026B, 0x0277, 0x0281, 0x0283, 0x0287, 0x028D, 0x0293, +035 0x0295, 0x02A1, 0x02A5, 0x02AB, 0x02B3, 0x02BD, 0x02C5, 0x02CF, +036 +037 0x02D7, 0x02DD, 0x02E3, 0x02E7, 0x02EF, 0x02F5, 0x02F9, 0x0301, +038 0x0305, 0x0313, 0x031D, 0x0329, 0x032B, 0x0335, 0x0337, 0x033B, +039 0x033D, 0x0347, 0x0355, 0x0359, 0x035B, 0x035F, 0x036D, 0x0371, +040 0x0373, 0x0377, 0x038B, 0x038F, 0x0397, 0x03A1, 0x03A9, 0x03AD, +041 0x03B3, 0x03B9, 0x03C7, 0x03CB, 0x03D1, 0x03D7, 0x03DF, 0x03E5, +042 0x03F1, 0x03F5, 0x03FB, 0x03FD, 0x0407, 0x0409, 0x040F, 0x0419, +043 0x041B, 0x0425, 0x0427, 0x042D, 0x043F, 0x0443, 0x0445, 0x0449, +044 0x044F, 0x0455, 0x045D, 0x0463, 0x0469, 0x047F, 0x0481, 0x048B, +045 +046 0x0493, 0x049D, 0x04A3, 0x04A9, 0x04B1, 0x04BD, 0x04C1, 0x04C7, +047 0x04CD, 0x04CF, 0x04D5, 0x04E1, 0x04EB, 0x04FD, 0x04FF, 0x0503, +048 0x0509, 0x050B, 0x0511, 0x0515, 0x0517, 0x051B, 0x0527, 0x0529, +049 0x052F, 0x0551, 0x0557, 0x055D, 0x0565, 0x0577, 0x0581, 0x058F, +050 0x0593, 0x0595, 0x0599, 0x059F, 0x05A7, 0x05AB, 0x05AD, 0x05B3, +051 0x05BF, 0x05C9, 0x05CB, 0x05CF, 0x05D1, 0x05D5, 0x05DB, 0x05E7, +052 0x05F3, 0x05FB, 0x0607, 0x060D, 0x0611, 0x0617, 0x061F, 0x0623, +053 0x062B, 0x062F, 0x063D, 0x0641, 0x0647, 0x0649, 0x064D, 0x0653 +054 #endif +055 \}; +056 #endif +057 \end{alltt} \end{small} Note that there are two possible tables. When an mp\_digit is 7-bits long only the primes upto $127$ may be included, otherwise the primes -upto $1619$ are used. Note that the value of \textbf{PRIME\_SIZE} is a constant dependent on the size of a mp\_digit. +upto $1619$ are used. Note that the value of \textbf{PRIME\_SIZE} is a constant dependent on the size of a mp\_digit. \subsection{The Fermat Test} -The Fermat test is probably one the oldest tests to have a non-trivial probability of success. It is based on the fact that if $n$ is in +The Fermat test is probably one the oldest tests to have a non-trivial probability of success. It is based on the fact that if $n$ is in fact prime then $a^{n} \equiv a \mbox{ (mod }n\mbox{)}$ for all $0 < a < n$. The reason being that if $n$ is prime than the order of -the multiplicative sub group is $n - 1$. Any base $a$ must have an order which divides $n - 1$ and as such $a^n$ is equivalent to -$a^1 = a$. +the multiplicative sub group is $n - 1$. Any base $a$ must have an order which divides $n - 1$ and as such $a^n$ is equivalent to +$a^1 = a$. -If $n$ is composite then any given base $a$ does not have to have a period which divides $n - 1$. In which case +If $n$ is composite then any given base $a$ does not have to have a period which divides $n - 1$. In which case it is possible that $a^n \nequiv a \mbox{ (mod }n\mbox{)}$. However, this test is not absolute as it is possible that the order -of a base will divide $n - 1$ which would then be reported as prime. Such a base yields what is known as a Fermat pseudo-prime. Several +of a base will divide $n - 1$ which would then be reported as prime. Such a base yields what is known as a Fermat pseudo-prime. Several integers known as Carmichael numbers will be a pseudo-prime to all valid bases. Fortunately such numbers are extremely rare as $n$ grows in size. @@ -6560,18 +10558,61 @@ in size. \end{figure} \textbf{Algorithm mp\_prime\_fermat.} This algorithm determines whether an mp\_int $a$ is a Fermat prime to the base $b$ or not. It uses a single modular exponentiation to -determine the result. +determine the result. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_prime\_fermat.c \vspace{-3mm} \begin{alltt} +016 +017 /* performs one Fermat test. +018 * +019 * If "a" were prime then b**a == b (mod a) since the order of +020 * the multiplicative sub-group would be phi(a) = a-1. That means +021 * it would be the same as b**(a mod (a-1)) == b**1 == b (mod a). +022 * +023 * Sets result to 1 if the congruence holds, or zero otherwise. +024 */ +025 int mp_prime_fermat (mp_int * a, mp_int * b, int *result) +026 \{ +027 mp_int t; +028 int err; +029 +030 /* default to composite */ +031 *result = MP_NO; +032 +033 /* ensure b > 1 */ +034 if (mp_cmp_d(b, 1) != MP_GT) \{ +035 return MP_VAL; +036 \} +037 +038 /* init t */ +039 if ((err = mp_init (&t)) != MP_OKAY) \{ +040 return err; +041 \} +042 +043 /* compute t = b**a mod a */ +044 if ((err = mp_exptmod (b, a, a, &t)) != MP_OKAY) \{ +045 goto LBL_T; +046 \} +047 +048 /* is it equal to b? */ +049 if (mp_cmp (&t, b) == MP_EQ) \{ +050 *result = MP_YES; +051 \} +052 +053 err = MP_OKAY; +054 LBL_T:mp_clear (&t); +055 return err; +056 \} +057 #endif +058 \end{alltt} \end{small} \subsection{The Miller-Rabin Test} -The Miller-Rabin (citation) test is another primality test which has tighter error bounds than the Fermat test specifically with sequentially chosen -candidate integers. The algorithm is based on the observation that if $n - 1 = 2^kr$ and if $b^r \nequiv \pm 1$ then after upto $k - 1$ squarings the +The Miller-Rabin (citation) test is another primality test which has tighter error bounds than the Fermat test specifically with sequentially chosen +candidate integers. The algorithm is based on the observation that if $n - 1 = 2^kr$ and if $b^r \nequiv \pm 1$ then after upto $k - 1$ squarings the value must be equal to $-1$. The squarings are stopped as soon as $-1$ is observed. If the value of $1$ is observed first it means that some value not congruent to $\pm 1$ when squared equals one which cannot occur if $n$ is prime. @@ -6607,17 +10648,101 @@ some value not congruent to $\pm 1$ when squared equals one which cannot occur i \end{figure} \textbf{Algorithm mp\_prime\_miller\_rabin.} This algorithm performs one trial round of the Miller-Rabin algorithm to the base $b$. It will set $c = 1$ if the algorithm cannot determine -if $b$ is composite or $c = 0$ if $b$ is provably composite. The values of $s$ and $r$ are computed such that $a' = a - 1 = 2^sr$. +if $b$ is composite or $c = 0$ if $b$ is provably composite. The values of $s$ and $r$ are computed such that $a' = a - 1 = 2^sr$. If the value $y \equiv b^r$ is congruent to $\pm 1$ then the algorithm cannot prove if $a$ is composite or not. Otherwise, the algorithm will square $y$ upto $s - 1$ times stopping only when $y \equiv -1$. If $y^2 \equiv 1$ and $y \nequiv \pm 1$ then the algorithm can report that $a$ -is provably composite. If the algorithm performs $s - 1$ squarings and $y \nequiv -1$ then $a$ is provably composite. If $a$ is not provably +is provably composite. If the algorithm performs $s - 1$ squarings and $y \nequiv -1$ then $a$ is provably composite. If $a$ is not provably composite then it is \textit{probably} prime. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_prime\_miller\_rabin.c \vspace{-3mm} \begin{alltt} +016 +017 /* Miller-Rabin test of "a" to the base of "b" as described in +018 * HAC pp. 139 Algorithm 4.24 +019 * +020 * Sets result to 0 if definitely composite or 1 if probably prime. +021 * Randomly the chance of error is no more than 1/4 and often +022 * very much lower. +023 */ +024 int mp_prime_miller_rabin (mp_int * a, mp_int * b, int *result) +025 \{ +026 mp_int n1, y, r; +027 int s, j, err; +028 +029 /* default */ +030 *result = MP_NO; +031 +032 /* ensure b > 1 */ +033 if (mp_cmp_d(b, 1) != MP_GT) \{ +034 return MP_VAL; +035 \} +036 +037 /* get n1 = a - 1 */ +038 if ((err = mp_init_copy (&n1, a)) != MP_OKAY) \{ +039 return err; +040 \} +041 if ((err = mp_sub_d (&n1, 1, &n1)) != MP_OKAY) \{ +042 goto LBL_N1; +043 \} +044 +045 /* set 2**s * r = n1 */ +046 if ((err = mp_init_copy (&r, &n1)) != MP_OKAY) \{ +047 goto LBL_N1; +048 \} +049 +050 /* count the number of least significant bits +051 * which are zero +052 */ +053 s = mp_cnt_lsb(&r); +054 +055 /* now divide n - 1 by 2**s */ +056 if ((err = mp_div_2d (&r, s, &r, NULL)) != MP_OKAY) \{ +057 goto LBL_R; +058 \} +059 +060 /* compute y = b**r mod a */ +061 if ((err = mp_init (&y)) != MP_OKAY) \{ +062 goto LBL_R; +063 \} +064 if ((err = mp_exptmod (b, &r, a, &y)) != MP_OKAY) \{ +065 goto LBL_Y; +066 \} +067 +068 /* if y != 1 and y != n1 do */ +069 if ((mp_cmp_d (&y, 1) != MP_EQ) && (mp_cmp (&y, &n1) != MP_EQ)) \{ +070 j = 1; +071 /* while j <= s-1 and y != n1 */ +072 while ((j <= (s - 1)) && (mp_cmp (&y, &n1) != MP_EQ)) \{ +073 if ((err = mp_sqrmod (&y, a, &y)) != MP_OKAY) \{ +074 goto LBL_Y; +075 \} +076 +077 /* if y == 1 then composite */ +078 if (mp_cmp_d (&y, 1) == MP_EQ) \{ +079 goto LBL_Y; +080 \} +081 +082 ++j; +083 \} +084 +085 /* if y != n1 then composite */ +086 if (mp_cmp (&y, &n1) != MP_EQ) \{ +087 goto LBL_Y; +088 \} +089 \} +090 +091 /* probably prime now */ +092 *result = MP_YES; +093 LBL_Y:mp_clear (&y); +094 LBL_R:mp_clear (&r); +095 LBL_N1:mp_clear (&n1); +096 return err; +097 \} +098 #endif +099 \end{alltt} \end{small} diff --git a/libtommath/tommath_class.h b/libtommath/tommath_class.h index 1e29c8f..2085521 100644 --- a/libtommath/tommath_class.h +++ b/libtommath/tommath_class.h @@ -38,7 +38,9 @@ #define BN_MP_DR_REDUCE_C #define BN_MP_DR_SETUP_C #define BN_MP_EXCH_C +#define BN_MP_EXPORT_C #define BN_MP_EXPT_D_C +#define BN_MP_EXPT_D_EX_C #define BN_MP_EXPTMOD_C #define BN_MP_EXPTMOD_FAST_C #define BN_MP_EXTEUCLID_C @@ -46,7 +48,10 @@ #define BN_MP_FWRITE_C #define BN_MP_GCD_C #define BN_MP_GET_INT_C +#define BN_MP_GET_LONG_C +#define BN_MP_GET_LONG_LONG_C #define BN_MP_GROW_C +#define BN_MP_IMPORT_C #define BN_MP_INIT_C #define BN_MP_INIT_COPY_C #define BN_MP_INIT_MULTI_C @@ -73,6 +78,7 @@ #define BN_MP_MUL_D_C #define BN_MP_MULMOD_C #define BN_MP_N_ROOT_C +#define BN_MP_N_ROOT_EX_C #define BN_MP_NEG_C #define BN_MP_OR_C #define BN_MP_PRIME_FERMAT_C @@ -99,11 +105,14 @@ #define BN_MP_RSHD_C #define BN_MP_SET_C #define BN_MP_SET_INT_C +#define BN_MP_SET_LONG_C +#define BN_MP_SET_LONG_LONG_C #define BN_MP_SHRINK_C #define BN_MP_SIGNED_BIN_SIZE_C #define BN_MP_SQR_C #define BN_MP_SQRMOD_C #define BN_MP_SQRT_C +#define BN_MP_SQRTMOD_PRIME_C #define BN_MP_SUB_C #define BN_MP_SUB_D_C #define BN_MP_SUBMOD_C @@ -315,12 +324,23 @@ #if defined(BN_MP_EXCH_C) #endif +#if defined(BN_MP_EXPORT_C) + #define BN_MP_INIT_COPY_C + #define BN_MP_COUNT_BITS_C + #define BN_MP_DIV_2D_C + #define BN_MP_CLEAR_C +#endif + #if defined(BN_MP_EXPT_D_C) + #define BN_MP_EXPT_D_EX_C +#endif + +#if defined(BN_MP_EXPT_D_EX_C) #define BN_MP_INIT_COPY_C #define BN_MP_SET_C - #define BN_MP_SQR_C - #define BN_MP_CLEAR_C #define BN_MP_MUL_C + #define BN_MP_CLEAR_C + #define BN_MP_SQR_C #endif #if defined(BN_MP_EXPTMOD_C) @@ -387,7 +407,6 @@ #if defined(BN_MP_GCD_C) #define BN_MP_ISZERO_C #define BN_MP_ABS_C - #define BN_MP_ZERO_C #define BN_MP_INIT_COPY_C #define BN_MP_CNT_LSB_C #define BN_MP_DIV_2D_C @@ -401,13 +420,26 @@ #if defined(BN_MP_GET_INT_C) #endif +#if defined(BN_MP_GET_LONG_C) +#endif + +#if defined(BN_MP_GET_LONG_LONG_C) +#endif + #if defined(BN_MP_GROW_C) #endif +#if defined(BN_MP_IMPORT_C) + #define BN_MP_ZERO_C + #define BN_MP_MUL_2D_C + #define BN_MP_CLAMP_C +#endif + #if defined(BN_MP_INIT_C) #endif #if defined(BN_MP_INIT_COPY_C) + #define BN_MP_INIT_SIZE_C #define BN_MP_COPY_C #endif @@ -481,8 +513,9 @@ #define BN_MP_MUL_C #define BN_MP_INIT_SIZE_C #define BN_MP_CLAMP_C - #define BN_MP_SUB_C + #define BN_S_MP_ADD_C #define BN_MP_ADD_C + #define BN_S_MP_SUB_C #define BN_MP_LSHD_C #define BN_MP_CLEAR_C #endif @@ -491,8 +524,8 @@ #define BN_MP_INIT_SIZE_C #define BN_MP_CLAMP_C #define BN_MP_SQR_C - #define BN_MP_SUB_C #define BN_S_MP_ADD_C + #define BN_S_MP_SUB_C #define BN_MP_LSHD_C #define BN_MP_ADD_C #define BN_MP_CLEAR_C @@ -516,8 +549,9 @@ #define BN_MP_INIT_C #define BN_MP_DIV_C #define BN_MP_CLEAR_C - #define BN_MP_ADD_C + #define BN_MP_ISZERO_C #define BN_MP_EXCH_C + #define BN_MP_ADD_C #endif #if defined(BN_MP_MOD_2D_C) @@ -583,10 +617,14 @@ #endif #if defined(BN_MP_N_ROOT_C) + #define BN_MP_N_ROOT_EX_C +#endif + +#if defined(BN_MP_N_ROOT_EX_C) #define BN_MP_INIT_C #define BN_MP_SET_C #define BN_MP_COPY_C - #define BN_MP_EXPT_D_C + #define BN_MP_EXPT_D_EX_C #define BN_MP_MUL_C #define BN_MP_SUB_C #define BN_MP_MUL_D_C @@ -667,9 +705,9 @@ #endif #if defined(BN_MP_RADIX_SIZE_C) + #define BN_MP_ISZERO_C #define BN_MP_COUNT_BITS_C #define BN_MP_INIT_COPY_C - #define BN_MP_ISZERO_C #define BN_MP_DIV_D_C #define BN_MP_CLEAR_C #endif @@ -687,7 +725,6 @@ #if defined(BN_MP_READ_RADIX_C) #define BN_MP_ZERO_C #define BN_MP_S_RMAP_C - #define BN_MP_RADIX_SMAP_C #define BN_MP_MUL_D_C #define BN_MP_ADD_D_C #define BN_MP_ISZERO_C @@ -788,6 +825,12 @@ #define BN_MP_CLAMP_C #endif +#if defined(BN_MP_SET_LONG_C) +#endif + +#if defined(BN_MP_SET_LONG_LONG_C) +#endif + #if defined(BN_MP_SHRINK_C) #endif @@ -823,6 +866,25 @@ #define BN_MP_CLEAR_C #endif +#if defined(BN_MP_SQRTMOD_PRIME_C) + #define BN_MP_CMP_D_C + #define BN_MP_ZERO_C + #define BN_MP_JACOBI_C + #define BN_MP_INIT_MULTI_C + #define BN_MP_MOD_D_C + #define BN_MP_ADD_D_C + #define BN_MP_DIV_2_C + #define BN_MP_EXPTMOD_C + #define BN_MP_COPY_C + #define BN_MP_SUB_D_C + #define BN_MP_ISEVEN_C + #define BN_MP_SET_INT_C + #define BN_MP_SQRMOD_C + #define BN_MP_MULMOD_C + #define BN_MP_SET_C + #define BN_MP_CLEAR_MULTI_C +#endif + #if defined(BN_MP_SUB_C) #define BN_S_MP_ADD_C #define BN_MP_CMP_MAG_C @@ -993,7 +1055,3 @@ #else #define LTM_LAST #endif - -/* $Source$ */ -/* $Revision: 0.36 $ */ -/* $Date: 2005-08-01 16:37:28 +0000 $ */ diff --git a/libtommath/tommath_private.h b/libtommath/tommath_private.h new file mode 100644 index 0000000..bc7cd35 --- /dev/null +++ b/libtommath/tommath_private.h @@ -0,0 +1,119 @@ +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://math.libtomcrypt.com + */ +#ifndef TOMMATH_PRIV_H_ +#define TOMMATH_PRIV_H_ + +#include +#include + +#define MIN(x,y) (((x) < (y)) ? (x) : (y)) + +#define MAX(x,y) (((x) > (y)) ? (x) : (y)) + +#ifdef __cplusplus +extern "C" { + +/* C++ compilers don't like assigning void * to mp_digit * */ +#define OPT_CAST(x) (x *) + +#else + +/* C on the other hand doesn't care */ +#define OPT_CAST(x) + +#endif + +/* define heap macros */ +#ifndef XMALLOC + /* default to libc stuff */ + #define XMALLOC malloc + #define XFREE free + #define XREALLOC realloc + #define XCALLOC calloc +#else + /* prototypes for our heap functions */ + extern void *XMALLOC(size_t n); + extern void *XREALLOC(void *p, size_t n); + extern void *XCALLOC(size_t n, size_t s); + extern void XFREE(void *p); +#endif + +/* lowlevel functions, do not call! */ +int s_mp_add(mp_int *a, mp_int *b, mp_int *c); +int s_mp_sub(mp_int *a, mp_int *b, mp_int *c); +#define s_mp_mul(a, b, c) s_mp_mul_digs(a, b, c, (a)->used + (b)->used + 1) +int fast_s_mp_mul_digs(mp_int *a, mp_int *b, mp_int *c, int digs); +int s_mp_mul_digs(mp_int *a, mp_int *b, mp_int *c, int digs); +int fast_s_mp_mul_high_digs(mp_int *a, mp_int *b, mp_int *c, int digs); +int s_mp_mul_high_digs(mp_int *a, mp_int *b, mp_int *c, int digs); +int fast_s_mp_sqr(mp_int *a, mp_int *b); +int s_mp_sqr(mp_int *a, mp_int *b); +int mp_karatsuba_mul(mp_int *a, mp_int *b, mp_int *c); +int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c); +int mp_karatsuba_sqr(mp_int *a, mp_int *b); +int mp_toom_sqr(mp_int *a, mp_int *b); +int fast_mp_invmod(mp_int *a, mp_int *b, mp_int *c); +int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c); +int fast_mp_montgomery_reduce(mp_int *x, mp_int *n, mp_digit rho); +int mp_exptmod_fast(mp_int *G, mp_int *X, mp_int *P, mp_int *Y, int redmode); +int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode); +void bn_reverse(unsigned char *s, int len); + +extern const char *mp_s_rmap; + +/* Fancy macro to set an MPI from another type. + * There are several things assumed: + * x is the counter and unsigned + * a is the pointer to the MPI + * b is the original value that should be set in the MPI. + */ +#define MP_SET_XLONG(func_name, type) \ +int func_name (mp_int * a, type b) \ +{ \ + unsigned int x; \ + int res; \ + \ + mp_zero (a); \ + \ + /* set four bits at a time */ \ + for (x = 0; x < (sizeof(type) * 2u); x++) { \ + /* shift the number up four bits */ \ + if ((res = mp_mul_2d (a, 4, a)) != MP_OKAY) { \ + return res; \ + } \ + \ + /* OR in the top four bits of the source */ \ + a->dp[0] |= (b >> ((sizeof(type) * 8u) - 4u)) & 15u; \ + \ + /* shift the source up to the next four bits */ \ + b <<= 4; \ + \ + /* ensure that digits are not clamped off */ \ + a->used += 1; \ + } \ + mp_clamp (a); \ + return MP_OKAY; \ +} + +#ifdef __cplusplus + } +#endif + +#endif + + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/tommath_superclass.h b/libtommath/tommath_superclass.h index 89d5516..1b26841 100644 --- a/libtommath/tommath_superclass.h +++ b/libtommath/tommath_superclass.h @@ -72,5 +72,5 @@ #endif /* $Source$ */ -/* $Revision: 0.36 $ */ -/* $Date: 2005-08-01 16:37:28 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/updatemakes.sh b/libtommath/updatemakes.sh new file mode 100755 index 0000000..54c3b84 --- /dev/null +++ b/libtommath/updatemakes.sh @@ -0,0 +1,33 @@ +#!/bin/bash + +bash genlist.sh > tmplist + +perl filter.pl makefile tmplist +sed -e 's/ *$//' < tmp.delme > makefile +rm -f tmp.delme + +perl filter.pl makefile.icc tmplist +sed -e 's/ *$//' < tmp.delme > makefile.icc +rm -f tmp.delme + +perl filter.pl makefile.shared tmplist +sed -e 's/ *$//' < tmp.delme > makefile.shared +rm -f tmp.delme + +perl filter.pl makefile.cygwin_dll tmplist +sed -e 's/ *$//' < tmp.delme > makefile.cygwin_dll +rm -f tmp.delme + +perl filter.pl makefile.bcc tmplist +sed -e 's/\.o /.obj /g' -e 's/ *$//' < tmp.delme > makefile.bcc +rm -f tmp.delme + +perl filter.pl makefile.msvc tmplist +sed -e 's/\.o /.obj /g' -e 's/ *$//' < tmp.delme > makefile.msvc +rm -f tmp.delme + +rm -f tmplist + +# $Source$ +# $Revision$ +# $Date$ -- cgit v0.12 From cbb0665d7d54dbcecf538a4c5564c6f233294a11 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 17 Nov 2016 11:38:13 +0000 Subject: Add test-case for mp_iseven(). If mp_iseven(0) ever returns 0, we will be warned that we are using the wrong mp_iseven() function. --- generic/tclTestObj.c | 25 +++++++++++++++++++++++-- generic/tclTomMath.h | 2 +- tests/obj.test | 7 +++++++ 3 files changed, 31 insertions(+), 3 deletions(-) diff --git a/generic/tclTestObj.c b/generic/tclTestObj.c index 6053ae3..1cbe67a 100644 --- a/generic/tclTestObj.c +++ b/generic/tclTestObj.c @@ -152,10 +152,10 @@ TestbignumobjCmd( Tcl_Obj *const objv[]) /* Argument vector */ { const char *const subcmds[] = { - "set", "get", "mult10", "div10", NULL + "set", "get", "mult10", "div10", "iseven", NULL }; enum options { - BIGNUM_SET, BIGNUM_GET, BIGNUM_MULT10, BIGNUM_DIV10 + BIGNUM_SET, BIGNUM_GET, BIGNUM_MULT10, BIGNUM_DIV10, BIGNUM_ISEVEN }; int index, varIndex; const char *string; @@ -274,6 +274,27 @@ TestbignumobjCmd( } else { SetVarToObj(varPtr, varIndex, Tcl_NewBignumObj(&newValue)); } + break; + + case BIGNUM_ISEVEN: + if (objc != 3) { + Tcl_WrongNumArgs(interp, 2, objv, "varIndex"); + return TCL_ERROR; + } + if (CheckIfVarUnset(interp, varPtr,varIndex)) { + return TCL_ERROR; + } + if (Tcl_GetBignumFromObj(interp, varPtr[varIndex], + &bignumValue) != TCL_OK) { + return TCL_ERROR; + } + if (!Tcl_IsShared(varPtr[varIndex])) { + Tcl_SetIntObj(varPtr[varIndex], mp_iseven(&bignumValue)); + } else { + SetVarToObj(varPtr, varIndex, Tcl_NewIntObj(mp_iseven(&bignumValue))); + } + mp_clear(&bignumValue); + break; } Tcl_SetObjResult(interp, varPtr[varIndex]); diff --git a/generic/tclTomMath.h b/generic/tclTomMath.h index 6b96d2c..9b899fe 100644 --- a/generic/tclTomMath.h +++ b/generic/tclTomMath.h @@ -243,7 +243,7 @@ int mp_init_size(mp_int *a, int size); /* ---> Basic Manipulations <--- */ #define mp_iszero(a) (((a)->used == 0) ? MP_YES : MP_NO) -#define mp_iseven(a) ((((a)->used > 0) && (((a)->dp[0] & 1u) == 0u)) ? MP_YES : MP_NO) +#define mp_iseven(a) ((((a)->used == 0) || (((a)->dp[0] & 1u) == 0u)) ? MP_YES : MP_NO) #define mp_isodd(a) ((((a)->used > 0) && (((a)->dp[0] & 1u) == 1u)) ? MP_YES : MP_NO) #define mp_isneg(a) (((a)->sign != MP_ZPOS) ? MP_YES : MP_NO) diff --git a/tests/obj.test b/tests/obj.test index a8d2d20..c354d69 100644 --- a/tests/obj.test +++ b/tests/obj.test @@ -625,6 +625,13 @@ test obj-33.7 {integer overflow on input} { list [string is integer $x] [expr { wide($x) }] } {0 -4294967296} +test obj-34.1 {mp_iseven} testobj { + set result "" + lappend result [testbignumobj set 1 0] + lappend result [testbignumobj iseven 1] ; + lappend result [testobj type 1] +} {0 1 int} + if {[testConstraint testobj]} { testobj freeallvars } -- cgit v0.12 From 7b09e3867d1705d3d223ae5383297ee336f03149 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 17 Nov 2016 13:18:17 +0000 Subject: Restore bn_mp_add_d.c to exact copy of libtommath-1.0 version: Since the mp_clamp() function already restores the sign of it's argument to positive if c->used ==0, it is not necessary to do that twice. Therefore, the original version of the code is correct. --- libtommath/bn_mp_add_d.c | 5 ++--- 1 file changed, 2 insertions(+), 3 deletions(-) diff --git a/libtommath/bn_mp_add_d.c b/libtommath/bn_mp_add_d.c index 26a165b..4d4e1df 100644 --- a/libtommath/bn_mp_add_d.c +++ b/libtommath/bn_mp_add_d.c @@ -37,9 +37,8 @@ mp_add_d (mp_int * a, mp_digit b, mp_int * c) /* c = |a| - b */ res = mp_sub_d(a, b, c); - /* fix signs */ - a->sign = MP_NEG; - c->sign = (c->used) ? MP_NEG : MP_ZPOS; + /* fix sign */ + a->sign = c->sign = MP_NEG; /* clamp */ mp_clamp(c); -- cgit v0.12 From 44774dc3238ca1e269c6acedcbdfb449780c96f9 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 17 Nov 2016 15:30:32 +0000 Subject: Restore bn_mp_radix_size.c to exact copy of libtommath-1.0 version: Since the radix_size of "9" should return 2, not 3. Add test-case to prove that. --- generic/tclObj.c | 8 +++----- generic/tclTestObj.c | 28 ++++++++++++++++++++++++++-- libtommath/bn_mp_radix_size.c | 13 ++----------- tests/obj.test | 6 ++++++ 4 files changed, 37 insertions(+), 18 deletions(-) diff --git a/generic/tclObj.c b/generic/tclObj.c index d3f59ec..6c850af 100644 --- a/generic/tclObj.c +++ b/generic/tclObj.c @@ -3252,13 +3252,11 @@ UpdateStringOfBignum( if (status != MP_OKAY) { Tcl_Panic("radix size failure in UpdateStringOfBignum"); } - if (size == 3) { + if (size < 2) { /* - * mp_radix_size() returns 3 when more than INT_MAX bytes would be + * mp_radix_size() returns < 2 when more than INT_MAX bytes would be * needed to hold the string rep (because mp_radix_size ignores - * integer overflow issues). When we know the string rep will be more - * than 3, we can conclude the string rep would overflow our string - * length limits. + * integer overflow issues). * * Note that so long as we enforce our bignums to the size that fits * in a packed bignum, this branch will never be taken. diff --git a/generic/tclTestObj.c b/generic/tclTestObj.c index 1cbe67a..06f8e5f 100644 --- a/generic/tclTestObj.c +++ b/generic/tclTestObj.c @@ -152,10 +152,11 @@ TestbignumobjCmd( Tcl_Obj *const objv[]) /* Argument vector */ { const char *const subcmds[] = { - "set", "get", "mult10", "div10", "iseven", NULL + "set", "get", "mult10", "div10", "iseven", "radixsize", NULL }; enum options { - BIGNUM_SET, BIGNUM_GET, BIGNUM_MULT10, BIGNUM_DIV10, BIGNUM_ISEVEN + BIGNUM_SET, BIGNUM_GET, BIGNUM_MULT10, BIGNUM_DIV10, BIGNUM_ISEVEN, + BIGNUM_RADIXSIZE }; int index, varIndex; const char *string; @@ -295,6 +296,29 @@ TestbignumobjCmd( } mp_clear(&bignumValue); break; + + case BIGNUM_RADIXSIZE: + if (objc != 3) { + Tcl_WrongNumArgs(interp, 2, objv, "varIndex"); + return TCL_ERROR; + } + if (CheckIfVarUnset(interp, varPtr,varIndex)) { + return TCL_ERROR; + } + if (Tcl_GetBignumFromObj(interp, varPtr[varIndex], + &bignumValue) != TCL_OK) { + return TCL_ERROR; + } + if (mp_radix_size(&bignumValue, 10, &index) != MP_OKAY) { + return TCL_ERROR; + } + if (!Tcl_IsShared(varPtr[varIndex])) { + Tcl_SetIntObj(varPtr[varIndex], index); + } else { + SetVarToObj(varPtr, varIndex, Tcl_NewIntObj(index)); + } + mp_clear(&bignumValue); + break; } Tcl_SetObjResult(interp, varPtr[varIndex]); diff --git a/libtommath/bn_mp_radix_size.c b/libtommath/bn_mp_radix_size.c index 9c60401..e5d7772 100644 --- a/libtommath/bn_mp_radix_size.c +++ b/libtommath/bn_mp_radix_size.c @@ -66,17 +66,8 @@ int mp_radix_size (mp_int * a, int radix, int *size) } mp_clear (&t); - /* - * return digs + 1, the 1 is for the NULL byte that would be required. - * mp_toradix_n requires a minimum of 3 bytes, so never report less than - * that. - */ - - if ( digs >= 2 ) { - *size = digs + 1; - } else { - *size = 3; - } + /* return digs + 1, the 1 is for the NULL byte that would be required. */ + *size = digs + 1; return MP_OKAY; } diff --git a/tests/obj.test b/tests/obj.test index c354d69..833c906 100644 --- a/tests/obj.test +++ b/tests/obj.test @@ -631,6 +631,12 @@ test obj-34.1 {mp_iseven} testobj { lappend result [testbignumobj iseven 1] ; lappend result [testobj type 1] } {0 1 int} +test obj-34.2 {mp_radix_size} testobj { + set result "" + lappend result [testbignumobj set 1 9] + lappend result [testbignumobj radixsize 1] ; + lappend result [testobj type 1] +} {9 2 int} if {[testConstraint testobj]} { testobj freeallvars -- cgit v0.12 From e0c2fc16a8641c16944de458557edf2d315d688b Mon Sep 17 00:00:00 2001 From: andy Date: Fri, 18 Nov 2016 03:34:32 +0000 Subject: Remove extra space in documentation for [file stat] --- doc/file.n | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/doc/file.n b/doc/file.n index 2f8b70c..ad35dd5 100644 --- a/doc/file.n +++ b/doc/file.n @@ -390,7 +390,7 @@ that use the third component do not attempt to perform tilde substitution. .RE .TP -\fBfile stat \fIname varName\fR +\fBfile stat \fIname varName\fR . Invokes the \fBstat\fR kernel call on \fIname\fR, and uses the variable given by \fIvarName\fR to hold information returned from the kernel call. -- cgit v0.12 From 0f3bab8aece13cfd66cca4d2e16489faaf69457b Mon Sep 17 00:00:00 2001 From: dkf Date: Fri, 18 Nov 2016 15:51:27 +0000 Subject: Minor: fix the indentation of comments. --- generic/tclIOSock.c | 50 ++++++++++++++++++++++++++------------------------ 1 file changed, 26 insertions(+), 24 deletions(-) diff --git a/generic/tclIOSock.c b/generic/tclIOSock.c index f61073b..7ed751c 100644 --- a/generic/tclIOSock.c +++ b/generic/tclIOSock.c @@ -56,8 +56,8 @@ static const char *gai_strerror(int code) { int TclSockGetPort( Tcl_Interp *interp, - const char *string, /* Integer or service name */ - const char *proto, /* "tcp" or "udp", typically */ + const char *string, /* Integer or service name */ + const char *proto, /* "tcp" or "udp", typically */ int *portPtr) /* Return port number */ { struct servent *sp; /* Protocol info for named services */ @@ -154,15 +154,15 @@ TclSockMinimumBuffers( int TclCreateSocketAddress( - Tcl_Interp *interp, /* Interpreter for querying - * the desired socket family */ - struct addrinfo **addrlist, /* Socket address list */ - const char *host, /* Host. NULL implies INADDR_ANY */ - int port, /* Port number */ - int willBind, /* Is this an address to bind() to or - * to connect() to? */ - const char **errorMsgPtr) /* Place to store the error message - * detail, if available. */ + Tcl_Interp *interp, /* Interpreter for querying the desired socket + * family */ + struct addrinfo **addrlist, /* Socket address list */ + const char *host, /* Host. NULL implies INADDR_ANY */ + int port, /* Port number */ + int willBind, /* Is this an address to bind() to or to + * connect() to? */ + const char **errorMsgPtr) /* Place to store the error message detail, if + * available. */ { struct addrinfo hints; struct addrinfo *p; @@ -181,30 +181,31 @@ TclCreateSocketAddress( * Workaround for OSX's apparent inability to resolve "localhost", "0" * when the loopback device is the only available network interface. */ + if (host != NULL && port == 0) { - portstring = NULL; + portstring = NULL; } else { - TclFormatInt(portbuf, port); - portstring = portbuf; + TclFormatInt(portbuf, port); + portstring = portbuf; } (void) memset(&hints, 0, sizeof(hints)); hints.ai_family = AF_UNSPEC; /* - * Magic variable to enforce a certain address family - to be superseded - * by a TIP that adds explicit switches to [socket] + * Magic variable to enforce a certain address family; to be superseded + * by a TIP that adds explicit switches to [socket]. */ if (interp != NULL) { - family = Tcl_GetVar2(interp, "::tcl::unsupported::socketAF", NULL, 0); - if (family != NULL) { - if (strcmp(family, "inet") == 0) { - hints.ai_family = AF_INET; - } else if (strcmp(family, "inet6") == 0) { - hints.ai_family = AF_INET6; - } - } + family = Tcl_GetVar2(interp, "::tcl::unsupported::socketAF", NULL, 0); + if (family != NULL) { + if (strcmp(family, "inet") == 0) { + hints.ai_family = AF_INET; + } else if (strcmp(family, "inet6") == 0) { + hints.ai_family = AF_INET6; + } + } } hints.ai_socktype = SOCK_STREAM; @@ -251,6 +252,7 @@ TclCreateSocketAddress( * * There might be more elegant/efficient ways to do this. */ + if (willBind) { for (p = *addrlist; p != NULL; p = p->ai_next) { if (p->ai_family == AF_INET) { -- cgit v0.12 From a3271d4360790d34a08896e46f0a6a37aa344568 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 21 Nov 2016 10:15:24 +0000 Subject: More internal use of size_t in stead of int. --- generic/tclBasic.c | 6 ++---- generic/tclCompile.c | 2 +- generic/tclDisassemble.c | 4 ++-- generic/tclIOGT.c | 4 ++-- generic/tclNamesp.c | 10 ++++------ generic/tclObj.c | 6 +++--- generic/tclPreserve.c | 8 ++++---- generic/tclTrace.c | 2 +- 8 files changed, 19 insertions(+), 23 deletions(-) diff --git a/generic/tclBasic.c b/generic/tclBasic.c index 39f2dd4..8eebab1 100644 --- a/generic/tclBasic.c +++ b/generic/tclBasic.c @@ -3400,8 +3400,7 @@ TclCleanupCommand( register Command *cmdPtr) /* Points to the Command structure to * be freed. */ { - cmdPtr->refCount--; - if (cmdPtr->refCount <= 0) { + if (cmdPtr->refCount-- <= 1) { ckfree(cmdPtr); } } @@ -5578,8 +5577,7 @@ TclArgumentRelease( } cfwPtr = Tcl_GetHashValue(hPtr); - cfwPtr->refCount--; - if (cfwPtr->refCount > 0) { + if (cfwPtr->refCount-- > 1) { continue; } diff --git a/generic/tclCompile.c b/generic/tclCompile.c index c02a940..c0724ee 100644 --- a/generic/tclCompile.c +++ b/generic/tclCompile.c @@ -1002,7 +1002,7 @@ void TclReleaseByteCode( register ByteCode *codePtr) { - if (--codePtr->refCount) { + if (codePtr->refCount-- > 1) { return; } diff --git a/generic/tclDisassemble.c b/generic/tclDisassemble.c index 0d6da8e..88ff094 100644 --- a/generic/tclDisassemble.c +++ b/generic/tclDisassemble.c @@ -272,8 +272,8 @@ DisassembleByteCodeObj( sprintf(ptrBuf1, "%p", codePtr); sprintf(ptrBuf2, "%p", iPtr); Tcl_AppendPrintfToObj(bufferObj, - "ByteCode 0x%s, refCt %u, epoch %u, interp 0x%s (epoch %u)\n", - ptrBuf1, codePtr->refCount, codePtr->compileEpoch, ptrBuf2, + "ByteCode 0x%s, refCt %" TCL_LL_MODIFIER "u, epoch %u, interp 0x%s (epoch %u)\n", + ptrBuf1, (Tcl_WideInt)codePtr->refCount, codePtr->compileEpoch, ptrBuf2, iPtr->compileEpoch); Tcl_AppendToObj(bufferObj, " Source ", -1); PrintSourceToObj(bufferObj, codePtr->source, diff --git a/generic/tclIOGT.c b/generic/tclIOGT.c index 7f61def..c1e8c44 100644 --- a/generic/tclIOGT.c +++ b/generic/tclIOGT.c @@ -211,7 +211,7 @@ struct TransformChannelData { * a transformation of incoming data. Also * serves as buffer of all data not yet * consumed by the reader. */ - int refCount; + size_t refCount; }; static void @@ -225,7 +225,7 @@ static void ReleaseData( TransformChannelData *dataPtr) { - if (--dataPtr->refCount) { + if (dataPtr->refCount-- > 1) { return; } ResultClear(&dataPtr->result); diff --git a/generic/tclNamesp.c b/generic/tclNamesp.c index 7f6ecf5..1e360d1 100644 --- a/generic/tclNamesp.c +++ b/generic/tclNamesp.c @@ -32,7 +32,7 @@ */ typedef struct ThreadSpecificData { - long numNsCreated; /* Count of the number of namespaces created + size_t numNsCreated; /* Count of the number of namespaces created * within the thread. This value is used as a * unique id for each namespace. Cannot be * per-interp because the nsId is used to @@ -59,7 +59,7 @@ typedef struct ResolvedNsName { * the name was resolved. NULL if the name is * fully qualified and thus the resolution * does not depend on the context. */ - int refCount; /* Reference count: 1 for each nsName object + size_t refCount; /* Reference count: 1 for each nsName object * that has a pointer to this ResolvedNsName * structure as its internal rep. This * structure can be freed when refCount @@ -1326,8 +1326,7 @@ void TclNsDecrRefCount( Namespace *nsPtr) { - nsPtr->refCount--; - if ((nsPtr->refCount == 0) && (nsPtr->flags & NS_DEAD)) { + if ((nsPtr->refCount-- <= 1) && (nsPtr->flags & NS_DEAD)) { NamespaceFree(nsPtr); } } @@ -4671,8 +4670,7 @@ FreeNsNameInternalRep( * references, free it up. */ - resNamePtr->refCount--; - if (resNamePtr->refCount == 0) { + if (resNamePtr->refCount-- <= 1) { /* * Decrement the reference count for the cached namespace. If the * namespace is dead, and there are no more references to it, free diff --git a/generic/tclObj.c b/generic/tclObj.c index 6c850af..416e5ed 100644 --- a/generic/tclObj.c +++ b/generic/tclObj.c @@ -361,7 +361,7 @@ typedef struct ResolvedCmdName { * incremented; if so, the cmd was renamed, * deleted, hidden, or exposed, and so the * pointer is invalid. */ - int refCount; /* Reference count: 1 for each cmdName object + size_t refCount; /* Reference count: 1 for each cmdName object * that has a pointer to this ResolvedCmdName * structure as its internal rep. This * structure can be freed when refCount @@ -4307,7 +4307,7 @@ FreeCmdNameInternalRep( * there are no more uses, free the ResolvedCmdName structure. */ - if (resPtr->refCount-- == 1) { + if (resPtr->refCount-- <= 1) { /* * Now free the cached command, unless it is still in its hash * table or if there are other references to it from other cmdName @@ -4419,7 +4419,7 @@ SetCmdNameFromAny( Command *oldCmdPtr = resPtr->cmdPtr; - if (--oldCmdPtr->refCount == 0) { + if (oldCmdPtr->refCount-- <= 1) { TclCleanupCommandMacro(oldCmdPtr); } } else { diff --git a/generic/tclPreserve.c b/generic/tclPreserve.c index cca13e8..2d0e15c 100644 --- a/generic/tclPreserve.c +++ b/generic/tclPreserve.c @@ -22,7 +22,7 @@ typedef struct { ClientData clientData; /* Address of preserved block. */ - int refCount; /* Number of Tcl_Preserve calls in effect for + size_t refCount; /* Number of Tcl_Preserve calls in effect for * block. */ int mustFree; /* Non-zero means Tcl_EventuallyFree was * called while a Tcl_Preserve call was in @@ -63,7 +63,7 @@ typedef struct HandleStruct { * ensure that the contents of the handle are * not changed by anyone else. */ #endif - int refCount; /* Number of TclHandlePreserve() calls in + size_t refCount; /* Number of TclHandlePreserve() calls in * effect on this handle. */ } HandleStruct; @@ -195,7 +195,7 @@ Tcl_Release( continue; } - if (--refPtr->refCount != 0) { + if (refPtr->refCount-- > 1) { Tcl_MutexUnlock(&preserveMutex); return; } @@ -459,7 +459,7 @@ TclHandleRelease( handlePtr, handlePtr->ptr2, handlePtr->ptr); } #endif - if ((--handlePtr->refCount == 0) && (handlePtr->ptr == NULL)) { + if ((handlePtr->refCount-- <= 1) && (handlePtr->ptr == NULL)) { ckfree(handlePtr); } } diff --git a/generic/tclTrace.c b/generic/tclTrace.c index 0c73cba..bea3162 100644 --- a/generic/tclTrace.c +++ b/generic/tclTrace.c @@ -52,7 +52,7 @@ typedef struct { * invoked step trace */ int curFlags; /* Trace flags for the current command */ int curCode; /* Return code for the current command */ - int refCount; /* Used to ensure this structure is not + size_t refCount; /* Used to ensure this structure is not * deleted too early. Keeps track of how many * pieces of code have a pointer to this * structure. */ -- cgit v0.12 From d510c90352989ab2f1332ce903526b9052def6de Mon Sep 17 00:00:00 2001 From: dkf Date: Tue, 22 Nov 2016 15:04:28 +0000 Subject: Corrections to misleading comments. --- generic/tcl.h | 11 ++++++----- 1 file changed, 6 insertions(+), 5 deletions(-) diff --git a/generic/tcl.h b/generic/tcl.h index eb53c70..7984005 100644 --- a/generic/tcl.h +++ b/generic/tcl.h @@ -831,19 +831,20 @@ typedef struct Tcl_Obj { union { /* The internal representation: */ long longValue; /* - an long integer value. */ double doubleValue; /* - a double-precision floating value. */ - void *otherValuePtr; /* - another, type-specific value, - not used internally any more. */ + void *otherValuePtr; /* - another, type-specific value, not used + * internally any more. */ Tcl_WideInt wideValue; /* - a long long value. */ struct { /* - internal rep as two pointers. - * the main use of which is a bignum's + * Many uses in Tcl, including a bignum's * tightly packed fields, where the alloc, * used and signum flags are packed into - * ptr2 with everything else hung off ptr1. */ + * ptr2 with everything else hung off + * ptr1. */ void *ptr1; void *ptr2; } twoPtrValue; struct { /* - internal rep as a pointer and a long, - not used internally any more. */ + * not used internally any more. */ void *ptr; unsigned long value; } ptrAndLongRep; -- cgit v0.12 From a69b96ecbb110463c843208820c24b4f1eb04f2e Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 24 Nov 2016 10:26:28 +0000 Subject: typos --- generic/tclCmdMZ.c | 2 +- generic/tclLoad.c | 2 +- generic/tclPipe.c | 2 +- 3 files changed, 3 insertions(+), 3 deletions(-) diff --git a/generic/tclCmdMZ.c b/generic/tclCmdMZ.c index e9a6933..023c671 100644 --- a/generic/tclCmdMZ.c +++ b/generic/tclCmdMZ.c @@ -323,7 +323,7 @@ Tcl_RegexpObjCmd( if (match == 0) { /* - * We want to set the value of the intepreter result only when + * We want to set the value of the interpreter result only when * this is the first time through the loop. */ diff --git a/generic/tclLoad.c b/generic/tclLoad.c index 7c70e03..be296b3 100644 --- a/generic/tclLoad.c +++ b/generic/tclLoad.c @@ -1015,7 +1015,7 @@ Tcl_StaticPackage( * TclGetLoadedPackages -- * * This function returns information about all of the files that are - * loaded (either in a particular intepreter, or for all interpreters). + * loaded (either in a particular interpreter, or for all interpreters). * * Results: * The return value is a standard Tcl completion code. If successful, a diff --git a/generic/tclPipe.c b/generic/tclPipe.c index 83fb818..d6cd188 100644 --- a/generic/tclPipe.c +++ b/generic/tclPipe.c @@ -60,7 +60,7 @@ static TclFile FileForRedirect(Tcl_Interp *interp, const char *spec, static TclFile FileForRedirect( - Tcl_Interp *interp, /* Intepreter to use for error reporting. */ + Tcl_Interp *interp, /* Interpreter to use for error reporting. */ const char *spec, /* Points to character just after redirection * character. */ int atOK, /* Non-zero means that '@' notation can be -- cgit v0.12 From d38a0b78165c57c6689c651906b1306d53f6e2fa Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 24 Nov 2016 13:33:32 +0000 Subject: Make compileEpoch "unsigned int", and start counting at 1. --- generic/tclBasic.c | 2 +- generic/tclCompile.h | 2 +- generic/tclInt.h | 2 +- 3 files changed, 3 insertions(+), 3 deletions(-) diff --git a/generic/tclBasic.c b/generic/tclBasic.c index 8eebab1..c1dd52d 100644 --- a/generic/tclBasic.c +++ b/generic/tclBasic.c @@ -588,7 +588,7 @@ Tcl_CreateInterp(void) iPtr->cmdCount = 0; TclInitLiteralTable(&iPtr->literalTable); - iPtr->compileEpoch = 0; + iPtr->compileEpoch = 1; iPtr->compiledProcPtr = NULL; iPtr->resolverPtr = NULL; iPtr->evalFlags = 0; diff --git a/generic/tclCompile.h b/generic/tclCompile.h index 89cdc59..5ef154e 100644 --- a/generic/tclCompile.h +++ b/generic/tclCompile.h @@ -417,7 +417,7 @@ typedef struct ByteCode { * procs are specific to an interpreter so the * code emitted will depend on the * interpreter. */ - int compileEpoch; /* Value of iPtr->compileEpoch when this + unsigned int compileEpoch; /* Value of iPtr->compileEpoch when this * ByteCode was compiled. Used to invalidate * code when, e.g., commands with compile * procs are redefined. */ diff --git a/generic/tclInt.h b/generic/tclInt.h index 3e55004..4257ea1 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -1898,7 +1898,7 @@ typedef struct Interp { * compiled by the interpreter. Indexed by the * string representations of literals. Used to * avoid creating duplicate objects. */ - int compileEpoch; /* Holds the current "compilation epoch" for + unsigned int compileEpoch; /* Holds the current "compilation epoch" for * this interpreter. This is incremented to * invalidate existing ByteCodes when, e.g., a * command with a compile procedure is -- cgit v0.12 From 088a851f2d1915d2ca3f3896feb454c3b96b0b18 Mon Sep 17 00:00:00 2001 From: andy Date: Thu, 24 Nov 2016 19:21:12 +0000 Subject: Partially backout [ef4da65408] because AppendPrintfToObjVA() (used indirectly by [tcl::unsupported::disassemble]) does not yet support wide and bignum arguments. This fixes a SIGSEGV in compile.test and makes [disassemble] work again. --- generic/tclDisassemble.c | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/generic/tclDisassemble.c b/generic/tclDisassemble.c index 88ff094..0d6da8e 100644 --- a/generic/tclDisassemble.c +++ b/generic/tclDisassemble.c @@ -272,8 +272,8 @@ DisassembleByteCodeObj( sprintf(ptrBuf1, "%p", codePtr); sprintf(ptrBuf2, "%p", iPtr); Tcl_AppendPrintfToObj(bufferObj, - "ByteCode 0x%s, refCt %" TCL_LL_MODIFIER "u, epoch %u, interp 0x%s (epoch %u)\n", - ptrBuf1, (Tcl_WideInt)codePtr->refCount, codePtr->compileEpoch, ptrBuf2, + "ByteCode 0x%s, refCt %u, epoch %u, interp 0x%s (epoch %u)\n", + ptrBuf1, codePtr->refCount, codePtr->compileEpoch, ptrBuf2, iPtr->compileEpoch); Tcl_AppendToObj(bufferObj, " Source ", -1); PrintSourceToObj(bufferObj, codePtr->source, -- cgit v0.12 From 45f0dfd1a9fd6c3b5e3ca9a23da2cfedd364c1f7 Mon Sep 17 00:00:00 2001 From: andy Date: Fri, 25 Nov 2016 01:39:13 +0000 Subject: Remove spurious article in comments --- generic/tclHash.c | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/generic/tclHash.c b/generic/tclHash.c index ac9d40e..78ad514 100644 --- a/generic/tclHash.c +++ b/generic/tclHash.c @@ -924,7 +924,7 @@ HashStringKey( * * BogusFind -- * - * This function is invoked when an Tcl_FindHashEntry is called on a + * This function is invoked when Tcl_FindHashEntry is called on a * table that has been deleted. * * Results: @@ -951,7 +951,7 @@ BogusFind( * * BogusCreate -- * - * This function is invoked when an Tcl_CreateHashEntry is called on a + * This function is invoked when Tcl_CreateHashEntry is called on a * table that has been deleted. * * Results: -- cgit v0.12 From a3572d2400fc9b189ceb5f6f2c929486d136ab05 Mon Sep 17 00:00:00 2001 From: andy Date: Fri, 25 Nov 2016 07:31:46 +0000 Subject: Allow [array names -regexp] to use backreferences. This capability was broken by [71270e9141]. See also bug [1366683]. --- generic/tclRegexp.c | 13 ++++++++++--- tests/set-old.test | 7 +++++++ 2 files changed, 17 insertions(+), 3 deletions(-) diff --git a/generic/tclRegexp.c b/generic/tclRegexp.c index ea25d4b..eb23f72 100644 --- a/generic/tclRegexp.c +++ b/generic/tclRegexp.c @@ -502,9 +502,16 @@ Tcl_RegExpMatchObj( { Tcl_RegExp re; - re = Tcl_GetRegExpFromObj(interp, patternObj, - TCL_REG_ADVANCED | TCL_REG_NOSUB); - if (re == NULL) { + /* + * For performance reasons, first try compiling the RE without support for + * subexpressions. On failure, try again without TCL_REG_NOSUB in case the + * RE has backreferences in it. Closely related to [Bug 1366683]. If this + * still fails, an error message will be left in the interpreter. + */ + + if (!(re = Tcl_GetRegExpFromObj(interp, patternObj, + TCL_REG_ADVANCED | TCL_REG_NOSUB)) + && !(re = Tcl_GetRegExpFromObj(interp, patternObj, TCL_REG_ADVANCED))) { return -1; } return Tcl_RegExpExecObj(interp, re, textObj, 0 /* offset */, diff --git a/tests/set-old.test b/tests/set-old.test index 93169f1..309abaf 100644 --- a/tests/set-old.test +++ b/tests/set-old.test @@ -652,6 +652,13 @@ test set-old-8.52 {array command, array names -regexp on regexp pattern} { set a(11) 1 list [catch {lsort [array names a -regexp ^1]} msg] $msg } {0 {1*2 11 12}} +test set-old-8.52.1 {array command, array names -regexp, backrefs} { + catch {unset a} + set a(1*2) 1 + set a(12) 1 + set a(11) 1 + list [catch {lsort [array names a -regexp {^(.)\1}]} msg] $msg +} {0 11} test set-old-8.53 {array command, array names -regexp} { catch {unset a} set a(-glob) 1 -- cgit v0.12 From 7b4af51ed2c67661856796cc6669052b86bda825 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 25 Nov 2016 11:47:54 +0000 Subject: Eliminate some macros that are no longer used/needed. --- generic/regc_lex.c | 6 +++--- generic/regc_locale.c | 2 +- generic/regc_nfa.c | 4 ++-- generic/regcomp.c | 12 ++++++------ generic/regcustom.h | 6 +++--- generic/regexec.c | 4 ++-- generic/regguts.h | 21 ++------------------- 7 files changed, 19 insertions(+), 36 deletions(-) diff --git a/generic/regc_lex.c b/generic/regc_lex.c index affcb48..4c8f15f 100644 --- a/generic/regc_lex.c +++ b/generic/regc_lex.c @@ -457,7 +457,7 @@ next( if (ATEOS()) { FAILW(REG_EESCAPE); } - (DISCARD)lexescape(v); + (void)lexescape(v); switch (v->nexttype) { /* not all escapes okay here */ case PLAIN: return 1; @@ -716,7 +716,7 @@ next( } RETV(PLAIN, *v->now++); } - (DISCARD)lexescape(v); + (void)lexescape(v); if (ISERR()) { FAILW(REG_EESCAPE); } @@ -1143,7 +1143,7 @@ skip( /* - newline - return the chr for a newline * This helps confine use of CHR to this source file. - ^ static chr newline(NOPARMS); + ^ static chr newline(void); */ static chr newline(void) diff --git a/generic/regc_locale.c b/generic/regc_locale.c index a6958fe..ab3b7f1 100644 --- a/generic/regc_locale.c +++ b/generic/regc_locale.c @@ -1227,7 +1227,7 @@ cmp( const chr *x, const chr *y, /* strings to compare */ size_t len) /* exact length of comparison */ { - return memcmp(VS(x), VS(y), len*sizeof(chr)); + return memcmp((void*)(x), (void*)(y), len*sizeof(chr)); } /* diff --git a/generic/regc_nfa.c b/generic/regc_nfa.c index 088c6c0..240fcfe 100644 --- a/generic/regc_nfa.c +++ b/generic/regc_nfa.c @@ -843,7 +843,7 @@ moveins( /* - copyins - copy in arcs of a state to another state - ^ static VOID copyins(struct nfa *, struct state *, struct state *, int); + ^ static void copyins(struct nfa *, struct state *, struct state *, int); */ static void copyins( @@ -1100,7 +1100,7 @@ moveouts( /* - copyouts - copy out arcs of a state to another state - ^ static VOID copyouts(struct nfa *, struct state *, struct state *, int); + ^ static void copyouts(struct nfa *, struct state *, struct state *, int); */ static void copyouts( diff --git a/generic/regcomp.c b/generic/regcomp.c index 211cd70..58d55fb 100644 --- a/generic/regcomp.c +++ b/generic/regcomp.c @@ -82,7 +82,7 @@ static int lexescape(struct vars *); static int lexdigits(struct vars *, int, int, int); static int brenext(struct vars *, pchr); static void skip(struct vars *); -static chr newline(NOPARMS); +static chr newline(void); static chr chrnamed(struct vars *, const chr *, const chr *, pchr); /* === regc_color.c === */ static void initcm(struct vars *, struct colormap *); @@ -341,13 +341,13 @@ compile( re->re_info = 0; /* bits get set during parse */ re->re_csize = sizeof(chr); re->re_guts = NULL; - re->re_fns = VS(&functions); + re->re_fns = (void*)(&functions); /* * More complex setup, malloced things. */ - re->re_guts = VS(MALLOC(sizeof(struct guts))); + re->re_guts = (void*)(MALLOC(sizeof(struct guts))); if (re->re_guts == NULL) { return freev(v, REG_ESPACE); } @@ -434,7 +434,7 @@ compile( * Can sacrifice main NFA now, so use it as work area. */ - (DISCARD) optimize(v->nfa, debug); + (void) optimize(v->nfa, debug); CNOERR(); makesearch(v, v->nfa); CNOERR(); @@ -1920,10 +1920,10 @@ nfatree( assert(t != NULL && t->begin != NULL); if (t->left != NULL) { - (DISCARD) nfatree(v, t->left, f); + (void) nfatree(v, t->left, f); } if (t->right != NULL) { - (DISCARD) nfatree(v, t->right, f); + (void) nfatree(v, t->right, f); } return nfanode(v, t, f); diff --git a/generic/regcustom.h b/generic/regcustom.h index 681b97d..1f00bf4 100644 --- a/generic/regcustom.h +++ b/generic/regcustom.h @@ -37,9 +37,9 @@ */ #define FUNCPTR(name, args) (*name)args -#define MALLOC(n) VS(attemptckalloc(n)) -#define FREE(p) ckfree(VS(p)) -#define REALLOC(p,n) VS(attemptckrealloc(VS(p),n)) +#define MALLOC(n) (void*)(attemptckalloc(n)) +#define FREE(p) ckfree((void*)(p)) +#define REALLOC(p,n) (void*)(attemptckrealloc((void*)(p),n)) /* * Do not insert extras between the "begin" and "end" lines - this chunk is diff --git a/generic/regexec.c b/generic/regexec.c index 6d12827..128d439 100644 --- a/generic/regexec.c +++ b/generic/regexec.c @@ -44,7 +44,7 @@ struct sset { /* state set */ unsigned hash; /* hash of bitvector */ #define HASH(bv, nw) (((nw) == 1) ? *(bv) : hash(bv, nw)) #define HIT(h,bv,ss,nw) ((ss)->hash == (h) && ((nw) == 1 || \ - memcmp(VS(bv), VS((ss)->states), (nw)*sizeof(unsigned)) == 0)) + memcmp((void*)(bv), (void*)((ss)->states), (nw)*sizeof(unsigned)) == 0)) int flags; #define STARTER 01 /* the initial state set */ #define POSTSTATE 02 /* includes the goal state */ @@ -268,7 +268,7 @@ exec( if (st == REG_OKAY && v->pmatch != pmatch && nmatch > 0) { zapallsubs(pmatch, nmatch); n = (nmatch < v->nmatch) ? nmatch : v->nmatch; - memcpy(VS(pmatch), VS(v->pmatch), n*sizeof(regmatch_t)); + memcpy((void*)(pmatch), (void*)(v->pmatch), n*sizeof(regmatch_t)); } /* diff --git a/generic/regguts.h b/generic/regguts.h index 1ac2465..9461136 100644 --- a/generic/regguts.h +++ b/generic/regguts.h @@ -49,23 +49,6 @@ #include #endif -/* voids */ -#ifndef VOID -#define VOID void /* for function return values */ -#endif -#ifndef DISCARD -#define DISCARD void /* for throwing values away */ -#endif -#ifndef PVOID -#define PVOID void * /* generic pointer */ -#endif -#ifndef VS -#define VS(x) ((void*)(x)) /* cast something to generic ptr */ -#endif -#ifndef NOPARMS -#define NOPARMS void /* for empty parm lists */ -#endif - /* function-pointer declarator */ #ifndef FUNCPTR #if __STDC__ >= 1 @@ -80,10 +63,10 @@ #define MALLOC(n) malloc(n) #endif #ifndef REALLOC -#define REALLOC(p, n) realloc(VS(p), n) +#define REALLOC(p, n) realloc(p, n) #endif #ifndef FREE -#define FREE(p) free(VS(p)) +#define FREE(p) free(p) #endif /* want size of a char in bits, and max value in bounded quantifiers */ -- cgit v0.12 From b91af81bc4ee0138c07c96e938c4878e0a8c06d9 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 29 Nov 2016 11:10:10 +0000 Subject: more internal use of size_t (in stead of int) --- generic/tclCkalloc.c | 57 ++++++++++++++++++++++++++-------------------------- generic/tclDictObj.c | 16 +++++++-------- generic/tclExecute.c | 6 +++--- generic/tclTestObj.c | 2 +- tests/cmdMZ.test | 2 +- win/tclWinFCmd.c | 14 ++++++------- win/tclWinFile.c | 24 ++++++++++------------ win/tclWinTime.c | 2 +- 8 files changed, 59 insertions(+), 64 deletions(-) diff --git a/generic/tclCkalloc.c b/generic/tclCkalloc.c index 70e64f0..f30374f 100644 --- a/generic/tclCkalloc.c +++ b/generic/tclCkalloc.c @@ -33,15 +33,15 @@ * "memory tag" command is invoked, to hold the current tag. */ -typedef struct MemTag { - int refCount; /* Number of mem_headers referencing this + typedef struct MemTag { + size_t refCount; /* Number of mem_headers referencing this * tag. */ char string[1]; /* Actual size of string will be as large as * needed for actual tag. This must be the * last field in the structure. */ } MemTag; -#define TAG_SIZE(bytesInString) ((unsigned) ((TclOffset(MemTag, string) + 1) + bytesInString)) +#define TAG_SIZE(bytesInString) ((TclOffset(MemTag, string) + 1) + bytesInString) static MemTag *curTagPtr = NULL;/* Tag to use in all future mem_headers (set * by "memory tag" command). */ @@ -52,14 +52,14 @@ static MemTag *curTagPtr = NULL;/* Tag to use in all future mem_headers (set * to help detect chunk under-runs. */ -#define LOW_GUARD_SIZE (8 + (32 - (sizeof(long) + sizeof(int)))%8) +#define LOW_GUARD_SIZE (8 + (32 - (sizeof(size_t) + sizeof(int)))%8) struct mem_header { struct mem_header *flink; struct mem_header *blink; MemTag *tagPtr; /* Tag from "memory tag" command; may be * NULL. */ const char *file; - long length; + size_t length; int line; unsigned char low_guard[LOW_GUARD_SIZE]; /* Aligns body on 8-byte boundary, plus @@ -251,10 +251,10 @@ ValidateMemory( } if (guard_failed) { TclDumpMemoryInfo((ClientData) stderr, 0); - fprintf(stderr, "low guard failed at %lx, %s %d\n", - (long unsigned) memHeaderP->body, file, line); + fprintf(stderr, "low guard failed at %p, %s %d\n", + memHeaderP->body, file, line); fflush(stderr); /* In case name pointer is bad. */ - fprintf(stderr, "%ld bytes allocated at (%s %d)\n", memHeaderP->length, + fprintf(stderr, "%" TCL_LL_MODIFIER "d bytes allocated at (%s %d)\n", (Tcl_WideInt) memHeaderP->length, memHeaderP->file, memHeaderP->line); Tcl_Panic("Memory validation failure"); } @@ -273,11 +273,11 @@ ValidateMemory( if (guard_failed) { TclDumpMemoryInfo((ClientData) stderr, 0); - fprintf(stderr, "high guard failed at %lx, %s %d\n", - (long unsigned) memHeaderP->body, file, line); + fprintf(stderr, "high guard failed at %p, %s %d\n", + memHeaderP->body, file, line); fflush(stderr); /* In case name pointer is bad. */ - fprintf(stderr, "%ld bytes allocated at (%s %d)\n", - memHeaderP->length, memHeaderP->file, + fprintf(stderr, "%" TCL_LL_MODIFIER "d bytes allocated at (%s %d)\n", + (Tcl_WideInt)memHeaderP->length, memHeaderP->file, memHeaderP->line); Tcl_Panic("Memory validation failure"); } @@ -359,10 +359,10 @@ Tcl_DumpActiveMemory( Tcl_MutexLock(ckallocMutexPtr); for (memScanP = allocHead; memScanP != NULL; memScanP = memScanP->flink) { address = &memScanP->body[0]; - fprintf(fileP, "%8lx - %8lx %7ld @ %s %d %s", - (long unsigned) address, - (long unsigned) address + memScanP->length - 1, - memScanP->length, memScanP->file, memScanP->line, + fprintf(fileP, "%8" TCL_LL_MODIFIER "x - %8" TCL_LL_MODIFIER "x %7" TCL_LL_MODIFIER "d @ %s %d %s", + (Tcl_WideInt)(size_t)address, + (Tcl_WideInt)((size_t)address + memScanP->length - 1), + (Tcl_WideInt)memScanP->length, memScanP->file, memScanP->line, (memScanP->tagPtr == NULL) ? "" : memScanP->tagPtr->string); (void) fputc('\n', fileP); } @@ -458,8 +458,8 @@ Tcl_DbCkalloc( } if (alloc_tracing) { - fprintf(stderr,"ckalloc %lx %u %s %d\n", - (long unsigned int) result->body, size, file, line); + fprintf(stderr,"ckalloc %p %u %s %d\n", + result->body, size, file, line); } if (break_on_malloc && (total_mallocs >= break_on_malloc)) { @@ -547,8 +547,8 @@ Tcl_AttemptDbCkalloc( } if (alloc_tracing) { - fprintf(stderr,"ckalloc %lx %u %s %d\n", - (long unsigned int) result->body, size, file, line); + fprintf(stderr,"ckalloc %p %u %s %d\n", + result->body, size, file, line); } if (break_on_malloc && (total_mallocs >= break_on_malloc)) { @@ -612,8 +612,8 @@ Tcl_DbCkfree( memp = (struct mem_header *) (((size_t) ptr) - BODY_OFFSET); if (alloc_tracing) { - fprintf(stderr, "ckfree %lx %ld %s %d\n", - (long unsigned int) memp->body, memp->length, file, line); + fprintf(stderr, "ckfree %p %" TCL_LL_MODIFIER "d %s %d\n", + memp->body, (Tcl_WideInt) memp->length, file, line); } if (validate_memory) { @@ -623,7 +623,7 @@ Tcl_DbCkfree( Tcl_MutexLock(ckallocMutexPtr); ValidateMemory(memp, file, line, TRUE); if (init_malloced_bodies) { - memset(ptr, GUARD_VALUE, (size_t) memp->length); + memset(ptr, GUARD_VALUE, memp->length); } total_frees++; @@ -631,8 +631,7 @@ Tcl_DbCkfree( current_bytes_malloced -= memp->length; if (memp->tagPtr != NULL) { - memp->tagPtr->refCount--; - if ((memp->tagPtr->refCount == 0) && (curTagPtr != memp->tagPtr)) { + if ((memp->tagPtr->refCount-- <= 1) && (curTagPtr != memp->tagPtr)) { TclpFree((char *) memp->tagPtr); } } @@ -675,7 +674,7 @@ Tcl_DbCkrealloc( int line) { char *newPtr; - unsigned int copySize; + size_t copySize; struct mem_header *memp; if (ptr == NULL) { @@ -689,7 +688,7 @@ Tcl_DbCkrealloc( memp = (struct mem_header *) (((size_t) ptr) - BODY_OFFSET); copySize = size; - if (copySize > (unsigned int) memp->length) { + if (copySize > memp->length) { copySize = memp->length; } newPtr = Tcl_DbCkalloc(size, file, line); @@ -706,7 +705,7 @@ Tcl_AttemptDbCkrealloc( int line) { char *newPtr; - unsigned int copySize; + size_t copySize; struct mem_header *memp; if (ptr == NULL) { @@ -720,7 +719,7 @@ Tcl_AttemptDbCkrealloc( memp = (struct mem_header *) (((size_t) ptr) - BODY_OFFSET); copySize = size; - if (copySize > (unsigned int) memp->length) { + if (copySize > memp->length) { copySize = memp->length; } newPtr = Tcl_AttemptDbCkalloc(size, file, line); diff --git a/generic/tclDictObj.c b/generic/tclDictObj.c index 9686c6f..d755855 100644 --- a/generic/tclDictObj.c +++ b/generic/tclDictObj.c @@ -142,7 +142,7 @@ typedef struct Dict { * the entries in the order that they are * created. */ int epoch; /* Epoch counter */ - int refcount; /* Reference counter (see above) */ + size_t refCount; /* Reference counter (see above) */ Tcl_Obj *chain; /* Linked list used for invalidating the * string representations of updated nested * dictionaries. */ @@ -392,7 +392,7 @@ DupDictInternalRep( newDict->epoch = 0; newDict->chain = NULL; - newDict->refcount = 1; + newDict->refCount = 1; /* * Store in the object. @@ -427,8 +427,7 @@ FreeDictInternalRep( { Dict *dict = DICT(dictPtr); - dict->refcount--; - if (dict->refcount <= 0) { + if (dict->refCount-- <= 1) { DeleteDict(dict); } dictPtr->typePtr = NULL; @@ -713,7 +712,7 @@ SetDictFromAny( TclFreeIntRep(objPtr); dict->epoch = 0; dict->chain = NULL; - dict->refcount = 1; + dict->refCount = 1; DICT(objPtr) = dict; objPtr->internalRep.twoPtrValue.ptr2 = NULL; objPtr->typePtr = &tclDictType; @@ -1117,7 +1116,7 @@ Tcl_DictObjFirst( searchPtr->dictionaryPtr = (Tcl_Dict) dict; searchPtr->epoch = dict->epoch; searchPtr->next = cPtr->nextPtr; - dict->refcount++; + dict->refCount++; if (keyPtrPtr != NULL) { *keyPtrPtr = Tcl_GetHashKey(&dict->table, &cPtr->entry); } @@ -1231,8 +1230,7 @@ Tcl_DictObjDone( if (searchPtr->epoch != -1) { searchPtr->epoch = -1; dict = (Dict *) searchPtr->dictionaryPtr; - dict->refcount--; - if (dict->refcount <= 0) { + if (dict->refCount-- <= 1) { DeleteDict(dict); } } @@ -1434,7 +1432,7 @@ Tcl_DbNewDictObj( InitChainTable(dict); dict->epoch = 0; dict->chain = NULL; - dict->refcount = 1; + dict->refCount = 1; DICT(dictPtr) = dict; dictPtr->internalRep.twoPtrValue.ptr2 = NULL; dictPtr->typePtr = &tclDictType; diff --git a/generic/tclExecute.c b/generic/tclExecute.c index 1f78ead..074b1d5 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -9459,9 +9459,9 @@ PrintByteCodeInfo( Proc *procPtr = codePtr->procPtr; Interp *iPtr = (Interp *) *codePtr->interpHandle; - fprintf(stdout, "\nExecuting ByteCode 0x%p, refCt %u, epoch %u, interp 0x%p (epoch %u)\n", - codePtr, codePtr->refCount, codePtr->compileEpoch, iPtr, - iPtr->compileEpoch); + fprintf(stdout, "\nExecuting ByteCode 0x%p, refCt %" TCL_LL_MODIFIER "u, epoch %" TCL_LL_MODIFIER "u, interp 0x%p (epoch %" TCL_LL_MODIFIER "u)\n", + codePtr, (Tcl_WideInt)codePtr->refCount, (Tcl_WideInt)codePtr->compileEpoch, iPtr, + (Tcl_WideInt)iPtr->compileEpoch); fprintf(stdout, " Source: "); TclPrintSource(stdout, codePtr->source, 60); diff --git a/generic/tclTestObj.c b/generic/tclTestObj.c index 06f8e5f..5627608 100644 --- a/generic/tclTestObj.c +++ b/generic/tclTestObj.c @@ -1101,7 +1101,7 @@ TestobjCmd( if (CheckIfVarUnset(interp, varPtr,varIndex)) { return TCL_ERROR; } - Tcl_SetObjResult(interp, Tcl_NewIntObj(varPtr[varIndex]->refCount)); + Tcl_SetObjResult(interp, Tcl_NewWideIntObj(varPtr[varIndex]->refCount)); } else if (strcmp(subCmd, "type") == 0) { if (objc != 3) { goto wrongNumArgs; diff --git a/tests/cmdMZ.test b/tests/cmdMZ.test index 2d68138..a5f3009 100644 --- a/tests/cmdMZ.test +++ b/tests/cmdMZ.test @@ -234,7 +234,7 @@ test cmdMZ-3.3 {Tcl_SourceObjCmd: error conditions} -constraints { test cmdMZ-3.4 {Tcl_SourceObjCmd: error conditions} -constraints { unixOrPc } -returnCodes error -body { - source a b + source a b c d e f } -match glob -result {wrong # args: should be "source*fileName"} test cmdMZ-3.5 {Tcl_SourceObjCmd: error in script} -body { set file [makeFile { diff --git a/win/tclWinFCmd.c b/win/tclWinFCmd.c index 8904a05..01af950 100644 --- a/win/tclWinFCmd.c +++ b/win/tclWinFCmd.c @@ -1525,8 +1525,8 @@ GetWinFileAttributes( * We test for, and fix that case, here. */ - int len; - const char *str = TclGetStringFromObj(fileName,&len); + const char *str = TclGetString(fileName); + size_t len = fileName->length; if (len < 4) { if (len == 0) { @@ -1611,11 +1611,12 @@ ConvertFileNameFormat( for (i = 0; i < pathc; i++) { Tcl_Obj *elt; char *pathv; - int pathLen; + size_t pathLen; Tcl_ListObjIndex(NULL, splitPath, i, &elt); - pathv = TclGetStringFromObj(elt, &pathLen); + pathv = TclGetString(elt); + pathLen = elt->length; if ((pathv[0] == '/') || ((pathLen == 3) && (pathv[1] == ':')) || (strcmp(pathv, ".") == 0) || (strcmp(pathv, "..") == 0)) { /* @@ -1639,7 +1640,6 @@ ConvertFileNameFormat( Tcl_DString dsTemp; const TCHAR *nativeName; const char *tempString; - int tempLen; WIN32_FIND_DATA data; HANDLE handle; DWORD attr; @@ -1653,8 +1653,8 @@ ConvertFileNameFormat( */ Tcl_DStringInit(&ds); - tempString = TclGetStringFromObj(tempPath,&tempLen); - nativeName = Tcl_WinUtfToTChar(tempString, tempLen, &ds); + tempString = TclGetString(tempPath); + nativeName = Tcl_WinUtfToTChar(tempString, tempPath->length, &ds); Tcl_DecrRefCount(tempPath); handle = FindFirstFile(nativeName, &data); if (handle == INVALID_HANDLE_VALUE) { diff --git a/win/tclWinFile.c b/win/tclWinFile.c index 9458933..e61d619 100755 --- a/win/tclWinFile.c +++ b/win/tclWinFile.c @@ -169,7 +169,7 @@ static int NativeWriteReparse(const TCHAR *LinkDirectory, REPARSE_DATA_BUFFER *buffer); static int NativeMatchType(int isDrive, DWORD attr, const TCHAR *nativeName, Tcl_GlobTypeData *types); -static int WinIsDrive(const char *name, int nameLen); +static int WinIsDrive(const char *name, size_t nameLen); static int WinIsReserved(const char *path); static Tcl_Obj * WinReadLink(const TCHAR *LinkSource); static Tcl_Obj * WinReadLinkDirectory(const TCHAR *LinkDirectory); @@ -933,10 +933,9 @@ TclpMatchInDirectory( * Match a single file directly. */ - int len; DWORD attr; WIN32_FILE_ATTRIBUTE_DATA data; - const char *str = TclGetStringFromObj(norm,&len); + const char *str = TclGetString(norm); native = Tcl_FSGetNativePath(pathPtr); @@ -946,7 +945,7 @@ TclpMatchInDirectory( } attr = data.dwFileAttributes; - if (NativeMatchType(WinIsDrive(str,len), attr, native, types)) { + if (NativeMatchType(WinIsDrive(str,norm->length), attr, native, types)) { Tcl_ListObjAppendElement(interp, resultPtr, pathPtr); } } @@ -957,7 +956,7 @@ TclpMatchInDirectory( WIN32_FIND_DATA data; const char *dirName; /* UTF-8 dir name, later with pattern * appended. */ - int dirLength; + size_t dirLength; int matchSpecialDots; Tcl_DString ds; /* Native encoding of dir, also used * temporarily for other things. */ @@ -996,7 +995,8 @@ TclpMatchInDirectory( */ Tcl_DStringInit(&dsOrig); - dirName = TclGetStringFromObj(fileNamePtr, &dirLength); + dirName = TclGetString(fileNamePtr); + dirLength = fileNamePtr->length; Tcl_DStringAppend(&dsOrig, dirName, dirLength); lastChar = dirName[dirLength -1]; @@ -1174,7 +1174,7 @@ TclpMatchInDirectory( static int WinIsDrive( const char *name, /* Name (UTF-8) */ - int len) /* Length of name */ + size_t len) /* Length of name */ { int remove = 0; @@ -2705,15 +2705,14 @@ TclpObjNormalizePath( * Not the end of the string. */ - int len; char *path; Tcl_Obj *tmpPathPtr; tmpPathPtr = Tcl_NewStringObj(Tcl_DStringValue(&ds), nextCheckpoint); Tcl_AppendToObj(tmpPathPtr, lastValidPathEnd, -1); - path = TclGetStringFromObj(tmpPathPtr, &len); - Tcl_SetStringObj(pathPtr, path, len); + path = TclGetString(tmpPathPtr); + Tcl_SetStringObj(pathPtr, path, tmpPathPtr->length); Tcl_DecrRefCount(tmpPathPtr); } else { /* @@ -2796,9 +2795,8 @@ TclWinVolumeRelativeNormalize( * also on drive C. */ - int cwdLen; - const char *drive = - TclGetStringFromObj(useThisCwd, &cwdLen); + const char *drive = TclGetString(useThisCwd); + size_t cwdLen = useThisCwd->length; char drive_cur = path[0]; if (drive_cur >= 'a') { diff --git a/win/tclWinTime.c b/win/tclWinTime.c index f4e08fa..71a0366 100644 --- a/win/tclWinTime.c +++ b/win/tclWinTime.c @@ -353,7 +353,7 @@ NativeGetTime( || ((regs[0] & 0x00F00000) /* Extended family */ && (regs[3] & 0x10000000))) /* Hyperthread */ && (((regs[1]&0x00FF0000) >> 16)/* CPU count */ - == systemInfo.dwNumberOfProcessors)) { + == (int)systemInfo.dwNumberOfProcessors)) { timeInfo.perfCounterAvailable = TRUE; } else { timeInfo.perfCounterAvailable = FALSE; -- cgit v0.12 From eca25ffa988872763ee91c496912bf2d22a0819f Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 29 Nov 2016 13:03:15 +0000 Subject: Minor simplifications. Eliminate FUNCPRT from regexp engine. Fix compile-error (non-debug) in tclDictObj.c, from previous commit --- generic/regcustom.h | 1 - generic/regguts.h | 13 ++----------- generic/tclCkalloc.c | 2 +- generic/tclDictObj.c | 2 +- generic/tclRegexp.h | 2 +- 5 files changed, 5 insertions(+), 15 deletions(-) diff --git a/generic/regcustom.h b/generic/regcustom.h index 1f00bf4..c4dbc73 100644 --- a/generic/regcustom.h +++ b/generic/regcustom.h @@ -36,7 +36,6 @@ * Overrides for regguts.h definitions, if any. */ -#define FUNCPTR(name, args) (*name)args #define MALLOC(n) (void*)(attemptckalloc(n)) #define FREE(p) ckfree((void*)(p)) #define REALLOC(p,n) (void*)(attemptckrealloc((void*)(p),n)) diff --git a/generic/regguts.h b/generic/regguts.h index 9461136..ad9d5b9 100644 --- a/generic/regguts.h +++ b/generic/regguts.h @@ -49,15 +49,6 @@ #include #endif -/* function-pointer declarator */ -#ifndef FUNCPTR -#if __STDC__ >= 1 -#define FUNCPTR(name, args) (*name)args -#else -#define FUNCPTR(name, args) (*name)() -#endif -#endif - /* memory allocation */ #ifndef MALLOC #define MALLOC(n) malloc(n) @@ -391,7 +382,7 @@ struct subre { */ struct fns { - void FUNCPTR(free, (regex_t *)); + void (*free) (regex_t *); }; /* @@ -408,7 +399,7 @@ struct guts { struct cnfa search; /* for fast preliminary search */ int ntree; /* number of subre's, plus one */ struct colormap cmap; - int FUNCPTR(compare, (const chr *, const chr *, size_t)); + int (*compare) (const chr *, const chr *, size_t); struct subre *lacons; /* lookahead-constraint vector */ int nlacons; /* size of lacons */ }; diff --git a/generic/tclCkalloc.c b/generic/tclCkalloc.c index f30374f..d42536e 100644 --- a/generic/tclCkalloc.c +++ b/generic/tclCkalloc.c @@ -33,7 +33,7 @@ * "memory tag" command is invoked, to hold the current tag. */ - typedef struct MemTag { +typedef struct MemTag { size_t refCount; /* Number of mem_headers referencing this * tag. */ char string[1]; /* Actual size of string will be as large as diff --git a/generic/tclDictObj.c b/generic/tclDictObj.c index d755855..1115999 100644 --- a/generic/tclDictObj.c +++ b/generic/tclDictObj.c @@ -1382,7 +1382,7 @@ Tcl_NewDictObj(void) InitChainTable(dict); dict->epoch = 0; dict->chain = NULL; - dict->refcount = 1; + dict->refCount = 1; DICT(dictPtr) = dict; dictPtr->internalRep.twoPtrValue.ptr2 = NULL; dictPtr->typePtr = &tclDictType; diff --git a/generic/tclRegexp.h b/generic/tclRegexp.h index 3b2433e..eac0aaa 100644 --- a/generic/tclRegexp.h +++ b/generic/tclRegexp.h @@ -37,7 +37,7 @@ typedef struct TclRegexp { * of subexpressions. */ rm_detail_t details; /* Detailed information on match (currently * used only for REG_EXPECT). */ - int refCount; /* Count of number of references to this + unsigned int refCount; /* Count of number of references to this * compiled regexp. */ } TclRegexp; -- cgit v0.12 From 673569a56fe781a8d50e13bd0057ac451698a065 Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 29 Nov 2016 18:46:41 +0000 Subject: Where feasible, convert concatenation panics into errors. --- generic/tclStringObj.c | 55 +++++++++++++++++++++++++++++++++++++++++--------- 1 file changed, 46 insertions(+), 9 deletions(-) diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index f7791fe..34931e0 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -2691,7 +2691,7 @@ TclStringCatObjv( if (objPtr->bytes == NULL) { int numBytes; - Tcl_GetByteArrayFromObj(objPtr, &numBytes); + Tcl_GetByteArrayFromObj(objPtr, &numBytes); /* PANIC? */ if (length == 0) { first = objc - oc - 1; } @@ -2707,7 +2707,7 @@ TclStringCatObjv( if ((objPtr->bytes == NULL) || (objPtr->length)) { int numChars; - Tcl_GetUnicodeFromObj(objPtr, &numChars); + Tcl_GetUnicodeFromObj(objPtr, &numChars); /* PANIC? */ if (length == 0) { first = objc - oc - 1; } @@ -2722,7 +2722,7 @@ TclStringCatObjv( objPtr = *ov++; - Tcl_GetStringFromObj(objPtr, &numBytes); + Tcl_GetStringFromObj(objPtr, &numBytes); /* PANIC? */ if ((length == 0) && numBytes) { first = objc - oc - 1; } @@ -2751,6 +2751,11 @@ TclStringCatObjv( /* Efficiently produce a pure byte array result */ unsigned char *dst; + /* + * Broken interface! Byte array value routines offer no way + * to handle failure to allocate enough space. Following + * stanza may panic. + */ if (inPlace && !Tcl_IsShared(*objv)) { int start; @@ -2783,14 +2788,30 @@ TclStringCatObjv( /* Ugly interface! Force resize of the unicode array. */ Tcl_GetUnicodeFromObj(objResultPtr, &start); Tcl_InvalidateStringRep(objResultPtr); - Tcl_SetObjLength(objResultPtr, length); + if (0 == Tcl_AttemptSetObjLength(objResultPtr, length)) { + if (interp) { + Tcl_SetObjResult(interp, Tcl_ObjPrintf( + "concatenation failed: unable to alloc %lu bytes", + STRING_SIZE(length))); + Tcl_SetErrorCode(interp, "TCL", "MEMORY", NULL); + } + return TCL_ERROR; + } dst = Tcl_GetUnicode(objResultPtr) + start; } else { Tcl_UniChar ch = 0; /* Ugly interface! No scheme to init array size. */ - objResultPtr = Tcl_NewUnicodeObj(&ch, 0); - Tcl_SetObjLength(objResultPtr, length); + objResultPtr = Tcl_NewUnicodeObj(&ch, 0); /* PANIC? */ + if (0 == Tcl_AttemptSetObjLength(objResultPtr, length)) { + if (interp) { + Tcl_SetObjResult(interp, Tcl_ObjPrintf( + "concatenation failed: unable to alloc %lu bytes", + STRING_SIZE(length))); + Tcl_SetErrorCode(interp, "TCL", "MEMORY", NULL); + } + return TCL_ERROR; + } dst = Tcl_GetUnicode(objResultPtr); } while (objc--) { @@ -2813,14 +2834,30 @@ TclStringCatObjv( objResultPtr = *objv++; objc--; Tcl_GetStringFromObj(objResultPtr, &start); - Tcl_SetObjLength(objResultPtr, length); + if (0 == Tcl_AttemptSetObjLength(objResultPtr, length)) { + if (interp) { + Tcl_SetObjResult(interp, Tcl_ObjPrintf( + "concatenation failed: unable to alloc %u bytes", + length)); + Tcl_SetErrorCode(interp, "TCL", "MEMORY", NULL); + } + return TCL_ERROR; + } dst = Tcl_GetString(objResultPtr) + start; if (length > start) { TclFreeIntRep(objResultPtr); } } else { - objResultPtr = Tcl_NewObj(); - Tcl_SetObjLength(objResultPtr, length); + objResultPtr = Tcl_NewObj(); /* PANIC? */ + if (0 == Tcl_AttemptSetObjLength(objResultPtr, length)) { + if (interp) { + Tcl_SetObjResult(interp, Tcl_ObjPrintf( + "concatenation failed: unable to alloc %u bytes", + length)); + Tcl_SetErrorCode(interp, "TCL", "MEMORY", NULL); + } + return TCL_ERROR; + } dst = Tcl_GetString(objResultPtr); } while (objc--) { -- cgit v0.12 From 0004d6152456219c0ef09046c169ad3ad7532ee1 Mon Sep 17 00:00:00 2001 From: dgp Date: Wed, 30 Nov 2016 03:08:24 +0000 Subject: Route all [string repeat] operations through a common implementation. Code that to preserve bytearrays, eliminate unnecessary string rep generation, increase efficiency, and encapsulate access to internal rep details. --- generic/tclCmdMZ.c | 65 ++--------------------- generic/tclInt.h | 2 + generic/tclStringObj.c | 140 +++++++++++++++++++++++++++++++++++++++++++++++++ 3 files changed, 146 insertions(+), 61 deletions(-) diff --git a/generic/tclCmdMZ.c b/generic/tclCmdMZ.c index 023c671..2572b2b 100644 --- a/generic/tclCmdMZ.c +++ b/generic/tclCmdMZ.c @@ -2118,9 +2118,7 @@ StringReptCmd( int objc, /* Number of arguments. */ Tcl_Obj *const objv[]) /* Argument objects. */ { - const char *string1; - char *string2; - int count, index, length1, length2; + int count; Tcl_Obj *resultPtr; if (objc != 3) { @@ -2138,70 +2136,15 @@ StringReptCmd( if (count == 1) { Tcl_SetObjResult(interp, objv[1]); - goto done; + return TCL_OK; } else if (count < 1) { - goto done; - } - string1 = TclGetStringFromObj(objv[1], &length1); - if (length1 <= 0) { - goto done; - } - - /* - * Only build up a string that has data. Instead of building it up with - * repeated appends, we just allocate the necessary space once and copy - * the string value in. - * - * We have to worry about overflow [Bugs 714106, 2561746]. - * At this point we know 1 <= length1 <= INT_MAX and 2 <= count <= INT_MAX. - * We need to keep 2 <= length2 <= INT_MAX. - */ - - if (count > INT_MAX/length1) { - Tcl_SetObjResult(interp, Tcl_ObjPrintf( - "result exceeds max size for a Tcl value (%d bytes)", - INT_MAX)); - Tcl_SetErrorCode(interp, "TCL", "MEMORY", NULL); - return TCL_ERROR; + return TCL_OK; } - length2 = length1 * count; - - /* - * Include space for the NUL. - */ - - string2 = attemptckalloc((unsigned) length2 + 1); - if (string2 == NULL) { - /* - * Alloc failed. Note that in this case we try to do an error message - * since this is a case that's most likely when the alloc is large and - * that's easy to do with this API. Note that if we fail allocating a - * short string, this will likely keel over too (and fatally). - */ - Tcl_SetObjResult(interp, Tcl_ObjPrintf( - "string size overflow, out of memory allocating %u bytes", - length2 + 1)); - Tcl_SetErrorCode(interp, "TCL", "MEMORY", NULL); + if (TCL_OK != TclStringRepeat(interp, objv[1], count, &resultPtr)) { return TCL_ERROR; } - for (index = 0; index < count; index++) { - memcpy(string2 + (length1 * index), string1, (size_t) length1); - } - string2[length2] = '\0'; - - /* - * We have to directly assign this instead of using Tcl_SetStringObj (and - * indirectly TclInitStringRep) because that makes another copy of the - * data. - */ - - TclNewObj(resultPtr); - resultPtr->bytes = string2; - resultPtr->length = length2; Tcl_SetObjResult(interp, resultPtr); - - done: return TCL_OK; } diff --git a/generic/tclInt.h b/generic/tclInt.h index 4257ea1..8f85f19 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -3147,6 +3147,8 @@ MODULE_SCOPE int TclStringMatch(const char *str, int strLen, MODULE_SCOPE int TclStringMatchObj(Tcl_Obj *stringObj, Tcl_Obj *patternObj, int flags); MODULE_SCOPE Tcl_Obj * TclStringObjReverse(Tcl_Obj *objPtr); +MODULE_SCOPE int TclStringRepeat(Tcl_Interp *interp, Tcl_Obj *objPtr, + int count, Tcl_Obj **objPtrPtr); MODULE_SCOPE void TclSubstCompile(Tcl_Interp *interp, const char *bytes, int numBytes, int flags, int line, struct CompileEnv *envPtr); diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index 34931e0..6184461 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -2613,6 +2613,146 @@ TclGetStringStorage( /* *--------------------------------------------------------------------------- * + * TclStringRepeat -- + * + * Performs the [string repeat] function. + * + * Results: + * A standard Tcl result. + * + * Side effects: + * Writes to *objPtrPtr the address of Tcl_Obj that is concatenation + * of count copies of the value in objPtr. + * + *--------------------------------------------------------------------------- + */ + +int +TclStringRepeat( + Tcl_Interp *interp, + Tcl_Obj *objPtr, + int count, + Tcl_Obj **objPtrPtr) +{ + Tcl_Obj *objResultPtr; + int length = 0, unichar = 0, done = 1; + int binary = TclIsPureByteArray(objPtr); + + /* assert (count >= 2) */ + + /* + * Analyze to determine what representation result should be. + * GOALS: Avoid shimmering & string rep generation. + * Produce pure bytearray when possible. + * Error on overflow. + */ + + if (!binary) { + if (objPtr->typePtr == &tclStringType) { + String *stringPtr = GET_STRING(objPtr); + if (stringPtr->hasUnicode) { + unichar = 1; + } + } + } + + if (binary) { + /* Result will be pure byte array. Pre-size it */ + Tcl_GetByteArrayFromObj(objPtr, &length); + } else if (unichar) { + /* Result will be pure Tcl_UniChar array. Pre-size it. */ + Tcl_GetUnicodeFromObj(objPtr, &length); + } else { + /* Result will be concat of string reps. Pre-size it. */ + Tcl_GetStringFromObj(objPtr, &length); + } + + if (length == 0) { + /* Any repeats of empty is empty. */ + *objPtrPtr = objPtr; + return TCL_OK; + } + + if (count > INT_MAX/length) { + if (interp) { + Tcl_SetObjResult(interp, Tcl_ObjPrintf( + "max size for a Tcl value (%d bytes) exceeded", INT_MAX)); + Tcl_SetErrorCode(interp, "TCL", "MEMORY", NULL); + } + return TCL_ERROR; + } + + if (binary) { + /* Efficiently produce a pure byte array result */ + objResultPtr = Tcl_IsShared(objPtr) ? Tcl_DuplicateObj(objPtr) + : objPtr; + + Tcl_SetByteArrayLength(objResultPtr, count*length); /* PANIC? */ + Tcl_SetByteArrayLength(objResultPtr, length); + while (count - done > done) { + Tcl_AppendObjToObj(objResultPtr, objResultPtr); + done *= 2; + } + TclAppendBytesToByteArray(objResultPtr, + Tcl_GetByteArrayFromObj(objResultPtr, NULL), + (count - done) * length); + } else if (unichar) { + /* Efficiently produce a pure Tcl_UniChar array result */ + if (Tcl_IsShared(objPtr)) { + objResultPtr = Tcl_NewUnicodeObj(Tcl_GetUnicode(objPtr), length); + } else { + TclInvalidateStringRep(objPtr); + objResultPtr = objPtr; + } + + if (0 == Tcl_AttemptSetObjLength(objResultPtr, count*length)) { + if (interp) { + Tcl_SetObjResult(interp, Tcl_ObjPrintf( + "string size overflow: unable to alloc %lu bytes", + STRING_SIZE(count*length))); + Tcl_SetErrorCode(interp, "TCL", "MEMORY", NULL); + } + return TCL_ERROR; + } + Tcl_SetObjLength(objResultPtr, length); + while (count - done > done) { + Tcl_AppendObjToObj(objResultPtr, objResultPtr); + done *= 2; + } + Tcl_AppendUnicodeToObj(objResultPtr, Tcl_GetUnicode(objResultPtr), + (count - done) * length); + } else { + /* Efficiently concatenate string reps */ + if (Tcl_IsShared(objPtr)) { + objResultPtr = Tcl_NewStringObj(Tcl_GetString(objPtr), length); + } else { + TclFreeIntRep(objPtr); + objResultPtr = objPtr; + } + if (0 == Tcl_AttemptSetObjLength(objResultPtr, count*length)) { + if (interp) { + Tcl_SetObjResult(interp, Tcl_ObjPrintf( + "string size overflow: unable to alloc %u bytes", + count*length)); + Tcl_SetErrorCode(interp, "TCL", "MEMORY", NULL); + } + return TCL_ERROR; + } + Tcl_SetObjLength(objResultPtr, length); + while (count - done > done) { + Tcl_AppendObjToObj(objResultPtr, objResultPtr); + done *= 2; + } + Tcl_AppendToObj(objResultPtr, Tcl_GetString(objResultPtr), + (count - done) * length); + } + *objPtrPtr = objResultPtr; + return TCL_OK; +} + +/* + *--------------------------------------------------------------------------- + * * TclStringCatObjv -- * * Performs the [string cat] function. -- cgit v0.12 From 5e2fde0cbb66a72f1a7eea2b830c3003696f4ca7 Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 1 Dec 2016 13:20:47 +0000 Subject: Created a new "proper bytearray" Tcl_ObjType so we can use bytearrays as bytearrays without all this fussing about over purity. --- generic/tclBinary.c | 65 ++++++++++++++++++++++++++++++++++++----------------- generic/tclInt.h | 3 +-- 2 files changed, 45 insertions(+), 23 deletions(-) diff --git a/generic/tclBinary.c b/generic/tclBinary.c index 9a5771e..b27ab4d 100644 --- a/generic/tclBinary.c +++ b/generic/tclBinary.c @@ -179,11 +179,19 @@ static const EnsembleImplMap decodeMap[] = { * converting an arbitrary String to a ByteArray may be. */ +static const Tcl_ObjType properByteArrayType = { + "proper bytearray", + FreeByteArrayInternalRep, + DupByteArrayInternalRep, + UpdateStringOfByteArray, + NULL +}; + const Tcl_ObjType tclByteArrayType = { "bytearray", FreeByteArrayInternalRep, DupByteArrayInternalRep, - UpdateStringOfByteArray, + NULL, SetByteArrayFromAny }; @@ -211,6 +219,12 @@ typedef struct ByteArray { #define SET_BYTEARRAY(objPtr, baPtr) \ (objPtr)->internalRep.twoPtrValue.ptr1 = (void *) (baPtr) +int +TclIsPureByteArray( + Tcl_Obj * objPtr) +{ + return (objPtr->typePtr == &properByteArrayType); +} /* *---------------------------------------------------------------------- @@ -341,7 +355,7 @@ Tcl_SetByteArrayObj( if ((bytes != NULL) && (length > 0)) { memcpy(byteArrayPtr->bytes, bytes, (size_t) length); } - objPtr->typePtr = &tclByteArrayType; + objPtr->typePtr = &properByteArrayType; SET_BYTEARRAY(objPtr, byteArrayPtr); } @@ -371,7 +385,8 @@ Tcl_GetByteArrayFromObj( { ByteArray *baPtr; - if (objPtr->typePtr != &tclByteArrayType) { + if ((objPtr->typePtr != &properByteArrayType) + && (objPtr->typePtr != &tclByteArrayType)) { SetByteArrayFromAny(NULL, objPtr); } baPtr = GET_BYTEARRAY(objPtr); @@ -414,7 +429,8 @@ Tcl_SetByteArrayLength( if (Tcl_IsShared(objPtr)) { Tcl_Panic("%s called with shared object", "Tcl_SetByteArrayLength"); } - if (objPtr->typePtr != &tclByteArrayType) { + if ((objPtr->typePtr != &properByteArrayType) + && (objPtr->typePtr != &tclByteArrayType)) { SetByteArrayFromAny(NULL, objPtr); } @@ -450,29 +466,35 @@ SetByteArrayFromAny( Tcl_Interp *interp, /* Not used. */ Tcl_Obj *objPtr) /* The object to convert to type ByteArray. */ { - int length; + int length, improper = 0; const char *src, *srcEnd; unsigned char *dst; ByteArray *byteArrayPtr; Tcl_UniChar ch; - if (objPtr->typePtr != &tclByteArrayType) { - src = TclGetStringFromObj(objPtr, &length); - srcEnd = src + length; - - byteArrayPtr = ckalloc(BYTEARRAY_SIZE(length)); - for (dst = byteArrayPtr->bytes; src < srcEnd; ) { - src += Tcl_UtfToUniChar(src, &ch); - *dst++ = UCHAR(ch); - } + if (objPtr->typePtr == &properByteArrayType) { + return TCL_OK; + } + if (objPtr->typePtr == &tclByteArrayType) { + return TCL_OK; + } - byteArrayPtr->used = dst - byteArrayPtr->bytes; - byteArrayPtr->allocated = length; + src = TclGetStringFromObj(objPtr, &length); + srcEnd = src + length; - TclFreeIntRep(objPtr); - objPtr->typePtr = &tclByteArrayType; - SET_BYTEARRAY(objPtr, byteArrayPtr); + byteArrayPtr = ckalloc(BYTEARRAY_SIZE(length)); + for (dst = byteArrayPtr->bytes; src < srcEnd; ) { + src += Tcl_UtfToUniChar(src, &ch); + improper = improper || (ch > 255); + *dst++ = UCHAR(ch); } + + byteArrayPtr->used = dst - byteArrayPtr->bytes; + byteArrayPtr->allocated = length; + + TclFreeIntRep(objPtr); + objPtr->typePtr = improper ? &tclByteArrayType : &properByteArrayType; + SET_BYTEARRAY(objPtr, byteArrayPtr); return TCL_OK; } @@ -535,7 +557,7 @@ DupByteArrayInternalRep( memcpy(copyArrayPtr->bytes, srcArrayPtr->bytes, (size_t) length); SET_BYTEARRAY(copyPtr, copyArrayPtr); - copyPtr->typePtr = &tclByteArrayType; + copyPtr->typePtr = srcPtr->typePtr; } /* @@ -642,7 +664,8 @@ TclAppendBytesToByteArray( /* Append zero bytes is a no-op. */ return; } - if (objPtr->typePtr != &tclByteArrayType) { + if ((objPtr->typePtr != &properByteArrayType) + && (objPtr->typePtr != &tclByteArrayType)) { SetByteArrayFromAny(NULL, objPtr); } byteArrayPtr = GET_BYTEARRAY(objPtr); diff --git a/generic/tclInt.h b/generic/tclInt.h index 8f85f19..ca8ad70 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -4427,8 +4427,7 @@ MODULE_SCOPE void TclDbInitNewObj(Tcl_Obj *objPtr, const char *file, *---------------------------------------------------------------- */ -#define TclIsPureByteArray(objPtr) \ - (((objPtr)->typePtr==&tclByteArrayType) && ((objPtr)->bytes==NULL)) +MODULE_SCOPE int TclIsPureByteArray(Tcl_Obj *objPtr); /* *---------------------------------------------------------------- -- cgit v0.12 From 0e33bed46567780c4d5e5f700e4a6b986801a0b0 Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 1 Dec 2016 17:25:40 +0000 Subject: So long as we register only one, we can have multiple Tcl_ObjTypes with the same name. This smooths migration. See obj-2.2 and tclsqlite usage. --- generic/tclBinary.c | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/generic/tclBinary.c b/generic/tclBinary.c index b27ab4d..cb4534d 100644 --- a/generic/tclBinary.c +++ b/generic/tclBinary.c @@ -180,7 +180,7 @@ static const EnsembleImplMap decodeMap[] = { */ static const Tcl_ObjType properByteArrayType = { - "proper bytearray", + "bytearray", FreeByteArrayInternalRep, DupByteArrayInternalRep, UpdateStringOfByteArray, -- cgit v0.12 From 6caf77b9eeecd4f041db70af50a04337673ee602 Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 1 Dec 2016 20:13:10 +0000 Subject: Reports from NSF that command epoch bumping isn't properly timed. http://paste.tclers.tk/4030 Since the epoch should bump to indicate when Tcl_FindCommand() would produce a different result from the cached value, the bump ought to be connected to the state change that would have that effect. This checkin appears to be the more correct answer, and it makes the Delete path get into agreement with the Rename path. Review would be good. --- generic/tclBasic.c | 23 ++++++++++++++++------- 1 file changed, 16 insertions(+), 7 deletions(-) diff --git a/generic/tclBasic.c b/generic/tclBasic.c index c1dd52d..686c292 100644 --- a/generic/tclBasic.c +++ b/generic/tclBasic.c @@ -3024,13 +3024,6 @@ Tcl_DeleteCommandFromToken( Tcl_Command importCmd; /* - * Bump the command epoch counter. This will invalidate all cached - * references that point to this command. - */ - - cmdPtr->cmdEpoch++; - - /* * The code here is tricky. We can't delete the hash table entry before * invoking the deletion callback because there are cases where the * deletion callback needs to invoke the command (e.g. object systems such @@ -3052,6 +3045,14 @@ Tcl_DeleteCommandFromToken( Tcl_DeleteHashEntry(cmdPtr->hPtr); cmdPtr->hPtr = NULL; } + + /* + * Bump the command epoch counter. This will invalidate all cached + * references that point to this command. + */ + + cmdPtr->cmdEpoch++; + return 0; } @@ -3154,6 +3155,14 @@ Tcl_DeleteCommandFromToken( if (cmdPtr->hPtr != NULL) { Tcl_DeleteHashEntry(cmdPtr->hPtr); cmdPtr->hPtr = NULL; + /* + * Bump the command epoch counter. This will invalidate all cached + * references that point to this command. + */ + + cmdPtr->cmdEpoch++; + + cmdPtr->cmdEpoch++; } /* -- cgit v0.12 From 180d65597c93cce39ee129e23289196d2b40a589 Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 2 Dec 2016 13:26:08 +0000 Subject: Remove dup line. --- generic/tclBasic.c | 11 +++++------ 1 file changed, 5 insertions(+), 6 deletions(-) diff --git a/generic/tclBasic.c b/generic/tclBasic.c index 686c292..81b3513 100644 --- a/generic/tclBasic.c +++ b/generic/tclBasic.c @@ -3155,14 +3155,13 @@ Tcl_DeleteCommandFromToken( if (cmdPtr->hPtr != NULL) { Tcl_DeleteHashEntry(cmdPtr->hPtr); cmdPtr->hPtr = NULL; - /* - * Bump the command epoch counter. This will invalidate all cached - * references that point to this command. - */ - cmdPtr->cmdEpoch++; + /* + * Bump the command epoch counter. This will invalidate all cached + * references that point to this command. + */ - cmdPtr->cmdEpoch++; + cmdPtr->cmdEpoch++; } /* -- cgit v0.12 From c2bdc4b2cd9397fb0bc2f3c05bde3ba7587b8625 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 2 Dec 2016 13:50:29 +0000 Subject: Implement %ll (WideInt) handling for Tcl_ObjPrintf(). Use it in some places. Moved to feature branch temporarily. Breaks build. --- generic/tcl.h | 2 +- generic/tclStringObj.c | 20 ++++++++++++-------- generic/tclStringRep.h | 8 ++++---- 3 files changed, 17 insertions(+), 13 deletions(-) diff --git a/generic/tcl.h b/generic/tcl.h index a8c68a6..0ddf52a 100644 --- a/generic/tcl.h +++ b/generic/tcl.h @@ -417,7 +417,7 @@ typedef long LONG; #endif /* !TCL_WIDE_INT_TYPE & !TCL_WIDE_INT_IS_LONG */ #ifdef TCL_WIDE_INT_IS_LONG # undef TCL_WIDE_INT_TYPE -# define TCL_WIDE_INT_TYPE long +# define cd long long #endif /* TCL_WIDE_INT_IS_LONG */ typedef TCL_WIDE_INT_TYPE Tcl_WideInt; diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index 7008db0..4b171f3 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -2472,6 +2472,10 @@ AppendPrintfToObjVA( Tcl_ListObjAppendElement(NULL, list, Tcl_NewLongObj( va_arg(argList, long))); break; + case 2: + Tcl_ListObjAppendElement(NULL, list, Tcl_NewWideIntObj( + va_arg(argList, Tcl_WideInt))); + break; } break; case 'e': @@ -2500,9 +2504,9 @@ AppendPrintfToObjVA( gotPrecision = 1; p++; break; - /* TODO: support for wide (and bignum?) arguments */ + /* TODO: support for bignum arguments */ case 'l': - size = 1; + ++size; p++; break; case 'h': @@ -2708,8 +2712,8 @@ TclStringRepeat( if (0 == Tcl_AttemptSetObjLength(objResultPtr, count*length)) { if (interp) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( - "string size overflow: unable to alloc %lu bytes", - STRING_SIZE(count*length))); + "string size overflow: unable to alloc %llu bytes", + (Tcl_WideUInt)STRING_SIZE(count*length))); Tcl_SetErrorCode(interp, "TCL", "MEMORY", NULL); } return TCL_ERROR; @@ -2931,8 +2935,8 @@ TclStringCatObjv( if (0 == Tcl_AttemptSetObjLength(objResultPtr, length)) { if (interp) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( - "concatenation failed: unable to alloc %lu bytes", - STRING_SIZE(length))); + "concatenation failed: unable to alloc %llu bytes", + (Tcl_WideUInt)STRING_SIZE(length))); Tcl_SetErrorCode(interp, "TCL", "MEMORY", NULL); } return TCL_ERROR; @@ -2946,8 +2950,8 @@ TclStringCatObjv( if (0 == Tcl_AttemptSetObjLength(objResultPtr, length)) { if (interp) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( - "concatenation failed: unable to alloc %lu bytes", - STRING_SIZE(length))); + "concatenation failed: unable to alloc %llu bytes", + (Tcl_WideUInt)STRING_SIZE(length))); Tcl_SetErrorCode(interp, "TCL", "MEMORY", NULL); } return TCL_ERROR; diff --git a/generic/tclStringRep.h b/generic/tclStringRep.h index db6f7e4..5148f97 100644 --- a/generic/tclStringRep.h +++ b/generic/tclStringRep.h @@ -76,13 +76,13 @@ typedef struct { } \ } while (0) #define stringAttemptAlloc(numChars) \ - (String *) attemptckalloc((unsigned) STRING_SIZE(numChars)) + (String *) attemptckalloc(STRING_SIZE(numChars)) #define stringAlloc(numChars) \ - (String *) ckalloc((unsigned) STRING_SIZE(numChars)) + (String *) ckalloc(STRING_SIZE(numChars)) #define stringRealloc(ptr, numChars) \ - (String *) ckrealloc((ptr), (unsigned) STRING_SIZE(numChars)) + (String *) ckrealloc((ptr), STRING_SIZE(numChars)) #define stringAttemptRealloc(ptr, numChars) \ - (String *) attemptckrealloc((ptr), (unsigned) STRING_SIZE(numChars)) + (String *) attemptckrealloc((ptr), STRING_SIZE(numChars)) #define GET_STRING(objPtr) \ ((String *) (objPtr)->internalRep.twoPtrValue.ptr1) #define SET_STRING(objPtr, stringPtr) \ -- cgit v0.12 From 4aef72d96f162e986fa3e97acebddb67ed6d2905 Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 2 Dec 2016 14:17:40 +0000 Subject: Repair what appears to be a stray edit error. This restores ability to build on a TCL_WIDE_INT_IS_LONG platform, but leaves code in tclStringObj.c raising compiler warnings. Suspect things still need some reconciliation in the TCL_WIDE_INT_IS_LONG scenario. --- generic/tcl.h | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/generic/tcl.h b/generic/tcl.h index 0ddf52a..2cf4472 100644 --- a/generic/tcl.h +++ b/generic/tcl.h @@ -417,7 +417,7 @@ typedef long LONG; #endif /* !TCL_WIDE_INT_TYPE & !TCL_WIDE_INT_IS_LONG */ #ifdef TCL_WIDE_INT_IS_LONG # undef TCL_WIDE_INT_TYPE -# define cd long long +# define TCL_WIDE_INT_TYPE long #endif /* TCL_WIDE_INT_IS_LONG */ typedef TCL_WIDE_INT_TYPE Tcl_WideInt; -- cgit v0.12 From 9a259b172375b510de40955def893799c4359cf2 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 2 Dec 2016 15:52:09 +0000 Subject: implement "I64" format in Tcl_ObjPrintf as well. Still to be tested. --- generic/tclStringObj.c | 16 +++++++++++++--- 1 file changed, 13 insertions(+), 3 deletions(-) diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index 4b171f3..65f9ab1 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -1865,6 +1865,9 @@ Tcl_AppendFormatToObj( useWide = 1; #endif } + } else if ((ch == 'I') && (format[1] == '6') && (format[2] == '4')) { + step += 2; + useBig = 1; } format += step; @@ -2509,6 +2512,13 @@ AppendPrintfToObjVA( ++size; p++; break; + case 'I': + if (p[1]=='6' && p[2]=='4') { + p += 2; + size = 2; + } + p++; + break; case 'h': size = -1; default: @@ -2712,7 +2722,7 @@ TclStringRepeat( if (0 == Tcl_AttemptSetObjLength(objResultPtr, count*length)) { if (interp) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( - "string size overflow: unable to alloc %llu bytes", + "string size overflow: unable to alloc %" TCL_LL_MODIFIER "u bytes", (Tcl_WideUInt)STRING_SIZE(count*length))); Tcl_SetErrorCode(interp, "TCL", "MEMORY", NULL); } @@ -2935,7 +2945,7 @@ TclStringCatObjv( if (0 == Tcl_AttemptSetObjLength(objResultPtr, length)) { if (interp) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( - "concatenation failed: unable to alloc %llu bytes", + "concatenation failed: unable to alloc %" TCL_LL_MODIFIER "u bytes", (Tcl_WideUInt)STRING_SIZE(length))); Tcl_SetErrorCode(interp, "TCL", "MEMORY", NULL); } @@ -2950,7 +2960,7 @@ TclStringCatObjv( if (0 == Tcl_AttemptSetObjLength(objResultPtr, length)) { if (interp) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( - "concatenation failed: unable to alloc %llu bytes", + "concatenation failed: unable to alloc %" TCL_LL_MODIFIER "u bytes", (Tcl_WideUInt)STRING_SIZE(length))); Tcl_SetErrorCode(interp, "TCL", "MEMORY", NULL); } -- cgit v0.12 From c9bee15d7360f859a1916da19733e2595caad00b Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 2 Dec 2016 18:18:59 +0000 Subject: Added long comment explaining history and work in progress making bytearray interfaces usable. --- generic/tclBinary.c | 109 +++++++++++++++++++++++++++++++++++++++++----------- 1 file changed, 87 insertions(+), 22 deletions(-) diff --git a/generic/tclBinary.c b/generic/tclBinary.c index cb4534d..4d063b2 100644 --- a/generic/tclBinary.c +++ b/generic/tclBinary.c @@ -155,28 +155,93 @@ static const EnsembleImplMap decodeMap[] = { }; /* - * The following object type represents an array of bytes. An array of bytes - * is not equivalent to an internationalized string. Conceptually, a string is - * an array of 16-bit quantities organized as a sequence of properly formed - * UTF-8 characters, while a ByteArray is an array of 8-bit quantities. - * Accessor functions are provided to convert a ByteArray to a String or a - * String to a ByteArray. Two or more consecutive bytes in an array of bytes - * may look like a single UTF-8 character if the array is casually treated as - * a string. But obtaining the String from a ByteArray is guaranteed to - * produced properly formed UTF-8 sequences so that there is a one-to-one map - * between bytes and characters. - * - * Converting a ByteArray to a String proceeds by casting each byte in the - * array to a 16-bit quantity, treating that number as a Unicode character, - * and storing the UTF-8 version of that Unicode character in the String. For - * ByteArrays consisting entirely of values 1..127, the corresponding String - * representation is the same as the ByteArray representation. - * - * Converting a String to a ByteArray proceeds by getting the Unicode - * representation of each character in the String, casting it to a byte by - * truncating the upper 8 bits, and then storing the byte in the ByteArray. - * Converting from ByteArray to String and back to ByteArray is not lossy, but - * converting an arbitrary String to a ByteArray may be. + * The following object types represent an array of bytes. The intent is + * to allow arbitrary binary data to pass through Tcl as a Tcl value + * without loss or damage. Such values are useful for things like + * encoded strings or Tk images to name just two. + * + * It's strange to have two Tcl_ObjTypes in place for this task when + * one would do, so a bit of detail and history how we got to this point + * and where we might go from here. + * + * A bytearray is an ordered sequence of bytes. Each byte is an integer + * value in the range [0-255]. To be a Tcl value type, we need a way to + * encode each value in the value set as a Tcl string. The simplest + * encoding is to represent each byte value as the same codepoint value. + * A bytearray of N bytes is encoded into a Tcl string of N characters + * where the codepoint of each character is the value of corresponding byte. + * This approach creates a one-to-one map between all bytearray values + * and a subset of Tcl string values. + * + * When converting a Tcl string value to the bytearray internal rep, the + * question arises what to do with strings outside that subset? That is, + * those Tcl strings containing at least one codepoint greater than 255? + * The obviously correct answer is to raise an error! That string value + * does not represent any valid bytearray value. Full Stop. The + * setFromAnyProc signature has a completion code return value for just + * this reason, to reject invalid inputs. + * + * Unfortunately this was not the path taken by the authors of the + * original tclByteArrayType. They chose to accept all Tcl string values + * as acceptable string encodings of the bytearray values that result + * from masking away the high bits of any codepoint value at all. This + * meant that every bytearray value had multiple accepted string + * representations. + * + * The implications of this choice are truly ugly. When a Tcl value has + * a string representation, we are required to accept that as the true + * value. Bytearray values that possess a string representation cannot + * be processed as bytearrays because we cannot know which true value + * that bytearray represents. The consequence is that we drag around + * an internal rep that we cannot make any use of. This painful price + * is extracted at any point after a string rep happens to be generated + * for the value. This happens even when the troublesome codepoints + * outside the byte range never show up. This happens rather routinely + * in normal Tcl operations unless we burden the script writer with the + * cognitive burden of avoiding it. The price is also paid by callers + * of the C interface. The routine + * + * unsigned char *Tcl_GetByteArrayFromObj(objPtr, lenPtr) + * + * has a guarantee to always return a non-NULL value, but that value + * points to a byte sequence that cannot be used by the caller to + * process the Tcl value absent some sideband testing that objPtr + * is "pure". Tcl offers no public interface to perform this test, + * so callers either break encapsulation or are unavoidably buggy. Tcl + * has defined a public interface that cannot be used correctly. The + * Tcl source code itself suffers the same problem, and has been buggy, + * but progressively less so as more and more portions of the code have + * been retrofitted with the required "purity testing". The set of values + * able to pass the purity test can be increased via the introduction of + * a "canonical" flag marker, but the only way the broken interface itself + * can be discarded is to start over and define the Tcl_ObjType properly. + * Bytearrays should simply be usable as bytearrays without a kabuki + * dance of testing. + * + * The Tcl_ObjType "properByteArrayType" is (nearly) a correct + * implementation of bytearrays. Any Tcl value with the type + * properByteArrayType can have its bytearray value fetched and + * used with confidence that acting on that value is equivalent to + * acting on the true Tcl string value. This still implies a side + * testing burden -- past mistakes will not let us avoid that + * immediately, but it is at least a conventional test of type, and + * can be implemented entirely by examining the objPtr fields, with + * no need to query the intrep, as a canonical flag would require. + * + * Until Tcl_GetByteArrayFromObj() and Tcl_SetByteArrayLength() can + * be revised to admit the possibility of returning NULL when the true + * value is not a valid bytearray, we need a mechanism to retain + * compatibility with the deployed callers of the broken interface. + * That's what the retained "tclByteArrayType" provides. In those + * unusual circumstances where we convert an invalid bytearray value + * to a bytearray type, it is to this legacy type. Essentially any + * time this legacy type gets used, it's a signal of a bug being ignored. + * A TIP should be drafted to remove this connection to the broken past + * so that Tcl 9 will no longer have any trace of it. Prescribing a + * migration path will be the key element of that work. The internal + * changes now in place are the limit of what can be done short of + * interface repair. They provide a great expansion of the histories + * over which bytearray values can be useful in the meanwhile. */ static const Tcl_ObjType properByteArrayType = { -- cgit v0.12 From 6da0c767cd83c18aa8a2c152ad6b0298ea4f28ab Mon Sep 17 00:00:00 2001 From: andy Date: Fri, 2 Dec 2016 21:08:15 +0000 Subject: Avoid "warning: format '%llu' expects argument of type 'long long unsigned int', but argument 2 has type 'long unsigned int'" on platforms where TCL_WIDE_INT_IS_LONG. Warning introduced by check-in [e3ba334a42] which was merged to trunk by [eac13870dc]. This fix also was made by [418b169207] which has not yet been merged to trunk. --- generic/tclStringObj.c | 9 ++++++--- 1 file changed, 6 insertions(+), 3 deletions(-) diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index 4b171f3..9471381 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -2712,7 +2712,8 @@ TclStringRepeat( if (0 == Tcl_AttemptSetObjLength(objResultPtr, count*length)) { if (interp) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( - "string size overflow: unable to alloc %llu bytes", + "string size overflow: unable to alloc %" + TCL_LL_MODIFIER "u bytes", (Tcl_WideUInt)STRING_SIZE(count*length))); Tcl_SetErrorCode(interp, "TCL", "MEMORY", NULL); } @@ -2935,7 +2936,8 @@ TclStringCatObjv( if (0 == Tcl_AttemptSetObjLength(objResultPtr, length)) { if (interp) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( - "concatenation failed: unable to alloc %llu bytes", + "concatenation failed: unable to alloc %" + TCL_LL_MODIFIER "u bytes", (Tcl_WideUInt)STRING_SIZE(length))); Tcl_SetErrorCode(interp, "TCL", "MEMORY", NULL); } @@ -2950,7 +2952,8 @@ TclStringCatObjv( if (0 == Tcl_AttemptSetObjLength(objResultPtr, length)) { if (interp) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( - "concatenation failed: unable to alloc %llu bytes", + "concatenation failed: unable to alloc %" + TCL_LL_MODIFIER "u bytes", (Tcl_WideUInt)STRING_SIZE(length))); Tcl_SetErrorCode(interp, "TCL", "MEMORY", NULL); } -- cgit v0.12 From 82d0258052c45ac6767727539635540dc724182c Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 14 Dec 2016 14:14:17 +0000 Subject: Implement all possible TCL_LL_MODIFIER formats in Tcl_ObjPrintf(), can be "ll", "I64" and "L", whatever the platform defines for long long integer. With test-cases. --- generic/tclStringObj.c | 11 ++++++++++- generic/tclTest.c | 42 ++++++++++++++++++++++++++++++++++++++++++ tests/util.test | 25 +++++++++++++++++++++++++ 3 files changed, 77 insertions(+), 1 deletion(-) diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index 65f9ab1..2b1dfc5 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -1866,7 +1866,12 @@ Tcl_AppendFormatToObj( #endif } } else if ((ch == 'I') && (format[1] == '6') && (format[2] == '4')) { - step += 2; + format += (step + 2); + step = Tcl_UtfToUniChar(format, &ch); + useBig = 1; + } else if (ch == 'L') { + format += step; + step = Tcl_UtfToUniChar(format, &ch); useBig = 1; } @@ -2512,6 +2517,10 @@ AppendPrintfToObjVA( ++size; p++; break; + case 'L': + size = 2; + p++; + break; case 'I': if (p[1]=='6' && p[2]=='4') { p += 2; diff --git a/generic/tclTest.c b/generic/tclTest.c index e30c4d0..dee1fe7 100644 --- a/generic/tclTest.c +++ b/generic/tclTest.c @@ -318,6 +318,9 @@ static int TestparsevarnameObjCmd(ClientData dummy, static int TestpreferstableObjCmd(ClientData dummy, Tcl_Interp *interp, int objc, Tcl_Obj *const objv[]); +static int TestprintObjCmd(ClientData dummy, + Tcl_Interp *interp, int objc, + Tcl_Obj *const objv[]); static int TestregexpObjCmd(ClientData dummy, Tcl_Interp *interp, int objc, Tcl_Obj *const objv[]); @@ -649,6 +652,8 @@ Tcltest_Init( NULL, NULL); Tcl_CreateObjCommand(interp, "testpreferstable", TestpreferstableObjCmd, NULL, NULL); + Tcl_CreateObjCommand(interp, "testprint", TestprintObjCmd, + NULL, NULL); Tcl_CreateObjCommand(interp, "testregexp", TestregexpObjCmd, NULL, NULL); Tcl_CreateObjCommand(interp, "testreturn", TestreturnObjCmd, @@ -3820,6 +3825,43 @@ TestpreferstableObjCmd( /* *---------------------------------------------------------------------- * + * TestprintObjCmd -- + * + * This procedure implements the "testprint" command. It is + * used for being able to test the Tcl_ObjPrintf() function. + * + * Results: + * A standard Tcl result. + * + * Side effects: + * None. + * + *---------------------------------------------------------------------- + */ + +static int +TestprintObjCmd( + ClientData clientData, /* Not used. */ + Tcl_Interp *interp, /* Current interpreter. */ + int objc, /* Number of arguments. */ + Tcl_Obj *const objv[]) /* The argument objects. */ +{ + Tcl_WideInt argv1 = 0; + + if (objc < 2 || objc > 3) { + Tcl_WrongNumArgs(interp, 1, objv, "format wideint"); + } + + if (objc > 1) { + Tcl_GetWideIntFromObj(interp, objv[2], &argv1); + } + Tcl_SetObjResult(interp, Tcl_ObjPrintf(Tcl_GetString(objv[1]), argv1)); + return TCL_OK; +} + +/* + *---------------------------------------------------------------------- + * * TestregexpObjCmd -- * * This procedure implements the "testregexp" command. It is used to give diff --git a/tests/util.test b/tests/util.test index 2ac11bf..1a3eecb 100644 --- a/tests/util.test +++ b/tests/util.test @@ -20,6 +20,7 @@ testConstraint testbytestring [llength [info commands testbytestring]] testConstraint testdstring [llength [info commands testdstring]] testConstraint testconcatobj [llength [info commands testconcatobj]] testConstraint testdoubledigits [llength [info commands testdoubledigits]] +testConstraint testprint [llength [info commands testprint]] # Big test for correct ordering of data in [expr] @@ -4017,6 +4018,30 @@ test util-17.1 {bankers' rounding [Bug 3349507]} {ieeeFloatingPoint} { 0x4400000000000000 0xc400000000000000 }] +test util-18.1 {Tcl_ObjPrintf} {testprint} { + testprint %lld [expr 2**63-1] +} {9223372036854775807} + +test util-18.2 {Tcl_ObjPrintf} {testprint} { + testprint %I64d [expr 2**63-1] +} {9223372036854775807} + +test util-18.3 {Tcl_ObjPrintf} {testprint} { + testprint %Ld [expr 2**63-1] +} {9223372036854775807} + +test util-18.4 {Tcl_ObjPrintf} {testprint} { + testprint %lld [expr -2**63] +} {-9223372036854775808} + +test util-18.5 {Tcl_ObjPrintf} {testprint} { + testprint %I64d [expr -2**63] +} {-9223372036854775808} + +test util-18.6 {Tcl_ObjPrintf} {testprint} { + testprint %Ld [expr -2**63] +} {-9223372036854775808} + set ::tcl_precision $saved_precision # cleanup -- cgit v0.12 From 5eeecf6181bb38bb87f5d2443489e5dfc875e7a9 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 15 Dec 2016 15:07:56 +0000 Subject: Add "file join $grandParentDir tcl8.? library" as possible path for a valid init.tcl. Some simplifications in use of test restrictions. --- generic/tclInterp.c | 1 + tests/fCmd.test | 16 ++++++------ tests/registry.test | 8 +++--- tests/winFCmd.test | 72 +++++++++++++++++++---------------------------------- tests/winFile.test | 31 +++++------------------ tests/winPipe.test | 6 ++--- 6 files changed, 46 insertions(+), 88 deletions(-) diff --git a/generic/tclInterp.c b/generic/tclInterp.c index 1bfe76a..6983cc6 100644 --- a/generic/tclInterp.c +++ b/generic/tclInterp.c @@ -410,6 +410,7 @@ Tcl_Init( " {file join $grandParentDir lib tcl[info tclversion]} \\\n" " {file join $parentDir library} \\\n" " {file join $grandParentDir library} \\\n" +" {file join $grandParentDir tcl[info tclversion] library} \\\n" " {file join $grandParentDir tcl[info patchlevel] library} \\\n" " {\n" "file join [file dirname $grandParentDir] tcl[info patchlevel] library}\n" diff --git a/tests/fCmd.test b/tests/fCmd.test index c8264b2..709bfb4 100644 --- a/tests/fCmd.test +++ b/tests/fCmd.test @@ -23,7 +23,7 @@ cd [temporaryDirectory] testConstraint testsetplatform [llength [info commands testsetplatform]] testConstraint testchmod [llength [info commands testchmod]] testConstraint winVista 0 -testConstraint win2000orXP 0 +testConstraint winXP 0 # Don't know how to determine this constraint correctly testConstraint notNetworkFilesystem 0 testConstraint reg 0 @@ -66,12 +66,10 @@ if {[testConstraint unix]} { # Also used in winFCmd... if {[testConstraint win]} { set major [string index $tcl_platform(osVersion) 0] - if {[testConstraint nt] && $major > 4} { - if {$major > 5} { - testConstraint winVista 1 - } elseif {$major == 5} { - testConstraint win2000orXP 1 - } + if {$major > 5} { + testConstraint winVista 1 + } else { + testConstraint winXP 1 } } @@ -792,7 +790,7 @@ test fCmd-9.3 {file rename: comprehensive: file to new name} -setup { } -result {{tf3 tf4} 1 0} test fCmd-9.4.a {file rename: comprehensive: dir to new name} -setup { cleanup -} -constraints {win win2000orXP testchmod} -body { +} -constraints {win testchmod} -body { file mkdir td1 td2 testchmod 0o555 td2 file rename td1 td3 @@ -824,7 +822,7 @@ test fCmd-9.5 {file rename: comprehensive: file to self} -setup { } -result {tf1 tf2 1 0} test fCmd-9.6.a {file rename: comprehensive: dir to self} -setup { cleanup -} -constraints {win win2000orXP testchmod} -body { +} -constraints {win winXP testchmod} -body { file mkdir td1 file mkdir td2 testchmod 0o555 td2 diff --git a/tests/registry.test b/tests/registry.test index 2072559..fec4cc0 100644 --- a/tests/registry.test +++ b/tests/registry.test @@ -283,7 +283,7 @@ test registry-4.7 {GetKeyNames: Unicode} {win reg english} { registry delete HKEY_CURRENT_USER\\TclFoobar set result } "baz\u00c7bar blat" -test registry-4.8 {GetKeyNames: Unicode} {win reg nt} { +test registry-4.8 {GetKeyNames: Unicode} {win reg} { registry delete HKEY_CURRENT_USER\\TclFoobar registry set HKEY_CURRENT_USER\\TclFoobar\\baz\u30b7bar registry set HKEY_CURRENT_USER\\TclFoobar\\blat @@ -487,7 +487,7 @@ test registry-6.17 {GetValue: Unicode value names} {win reg} { registry delete HKEY_CURRENT_USER\\TclFoobar set result } foobar -test registry-6.18 {GetValue: values with Unicode strings} {win reg nt} { +test registry-6.18 {GetValue: values with Unicode strings} {win reg} { registry set HKEY_CURRENT_USER\\TclFoobar val1 {foo ba\u30b7r baz} multi_sz set result [registry get HKEY_CURRENT_USER\\TclFoobar val1] registry delete HKEY_CURRENT_USER\\TclFoobar @@ -505,7 +505,7 @@ test registry-6.20 {GetValue: values with Unicode strings with embedded nulls} { registry delete HKEY_CURRENT_USER\\TclFoobar set result } "foo ba r baz" -test registry-6.21 {GetValue: very long value names and values} {pcOnly reg} { +test registry-6.21 {GetValue: very long value names and values} {win reg} { registry set HKEY_CURRENT_USER\\TclFoobar [string repeat k 16383] [string repeat x 16383] multi_sz set result [registry get HKEY_CURRENT_USER\\TclFoobar [string repeat k 16383]] registry delete HKEY_CURRENT_USER\\TclFoobar @@ -604,7 +604,7 @@ test registry-9.3 {ParseKeyName: bad keys} -constraints {win reg} -body { test registry-9.4 {ParseKeyName: bad keys} -constraints {win reg} -body { registry values \\\\\\ } -returnCodes error -result {bad root name "": must be HKEY_LOCAL_MACHINE, HKEY_USERS, HKEY_CLASSES_ROOT, HKEY_CURRENT_USER, HKEY_CURRENT_CONFIG, HKEY_PERFORMANCE_DATA, or HKEY_DYN_DATA} -test registry-9.5 {ParseKeyName: bad keys} -constraints {win reg english nt} -body { +test registry-9.5 {ParseKeyName: bad keys} -constraints {win reg english} -body { registry values \\\\\\HKEY_CLASSES_ROOT } -returnCodes error -result {unable to open key: The network address is invalid.} test registry-9.6 {ParseKeyName: bad keys} -constraints {win reg} -body { diff --git a/tests/winFCmd.test b/tests/winFCmd.test index a808c82..294745c 100644 --- a/tests/winFCmd.test +++ b/tests/winFCmd.test @@ -21,8 +21,7 @@ catch [list package require -exact Tcltest [info patchlevel]] # Initialise the test constraints testConstraint winVista 0 -testConstraint win2000orXP 0 -testConstraint winOlderThan2000 0 +testConstraint winXP 0 testConstraint testvolumetype [llength [info commands testvolumetype]] testConstraint testfile [llength [info commands testfile]] testConstraint testchmod [llength [info commands testchmod]] @@ -56,16 +55,12 @@ proc cleanup {args} { } } -if {[testConstraint winOnly]} { +if {[testConstraint win]} { set major [string index $tcl_platform(osVersion) 0] - if {[testConstraint nt] && $major > 4} { - if {$major > 5} { - testConstraint winVista 1 - } elseif {$major == 5} { - testConstraint win2000orXP 1 - } - } else { - testConstraint winOlderThan2000 1 + if {$major > 5} { + testConstraint winVista 1 + } elseif {$major == 5} { + testConstraint winXP 1 } } @@ -205,17 +200,12 @@ test winFCmd-1.12 {TclpRenameFile: errno: EACCES} -setup { } -returnCodes error -result EACCES test winFCmd-1.13 {TclpRenameFile: errno: EACCES} -setup { cleanup -} -constraints {win win2000orXP testfile} -body { +} -constraints {win winXP testfile} -body { testfile mv nul tf1 } -returnCodes error -result EINVAL -test winFCmd-1.14 {TclpRenameFile: errno: EACCES} -setup { - cleanup -} -constraints {win nt winOlderThan2000 testfile} -body { - testfile mv nul tf1 -} -returnCodes error -result EACCES test winFCmd-1.15 {TclpRenameFile: errno: EEXIST} -setup { cleanup -} -constraints {win nt testfile} -body { +} -constraints {win testfile} -body { createfile tf1 testfile mv tf1 nul } -returnCodes error -result EEXIST @@ -238,19 +228,12 @@ test winFCmd-1.18 {TclpRenameFile: srcAttr == -1} -setup { } -returnCodes error -result ENOENT test winFCmd-1.19 {TclpRenameFile: errno == EACCES} -setup { cleanup -} -constraints {win win2000orXP testfile} -body { +} -constraints {win winXP testfile} -body { testfile mv nul tf1 } -returnCodes error -result EINVAL -test winFCmd-1.19.1 {TclpRenameFile: errno == EACCES} -setup { - cleanup -} -constraints {win nt winOlderThan2000 testfile} -body { - testfile mv nul tf1 -} -returnCodes error -result EACCES test winFCmd-1.20 {TclpRenameFile: src is dir} -setup { cleanup -} -constraints {win nt testfile} -body { - # under 95, this would actually succeed and move the current dir out from - # under the current process! +} -constraints {win testfile} -body { file delete /tf1 testfile mv [pwd] /tf1 } -returnCodes error -result EACCES @@ -458,14 +441,9 @@ test winFCmd-2.6 {TclpCopyFile: errno: ENOENT} -setup { } -returnCodes error -result ENOENT test winFCmd-2.7 {TclpCopyFile: errno: EACCES} -setup { cleanup -} -constraints {win win2000orXP testfile} -body { +} -constraints {win winXP testfile} -body { testfile cp nul tf1 } -returnCodes error -result EINVAL -test winFCmd-2.8 {TclpCopyFile: errno: EACCES} -setup { - cleanup -} -constraints {win nt winOlderThan2000 testfile} -body { - testfile cp nul tf1 -} -returnCodes error -result EACCES test winFCmd-2.10 {TclpCopyFile: CopyFile succeeds} -setup { cleanup } -constraints {win testfile} -body { @@ -623,7 +601,7 @@ test winFCmd-3.11 {TclpDeleteFile: still can't remove path} -setup { test winFCmd-4.1 {TclpCreateDirectory: errno: EACCES} -body { testfile mkdir $cdrom/dummy~~.dir -} -constraints {win nt cdrom testfile} -returnCodes error -result EACCES +} -constraints {win cdrom testfile} -returnCodes error -result EACCES test winFCmd-4.3 {TclpCreateDirectory: errno: EEXIST} -setup { cleanup } -constraints {win testfile} -body { @@ -721,7 +699,7 @@ test winFCmd-6.9 {TclpRemoveDirectory: errno == EACCES} -setup { } -result {td1 EACCES} test winFCmd-6.11 {TclpRemoveDirectory: attr == -1} -setup { cleanup -} -constraints {win nt testfile} -body { +} -constraints {win testfile} -body { testfile rmdir / # WinXP returns EEXIST, WinNT seems to return EACCES. No policy # decision has been made as to which is correct. @@ -819,7 +797,7 @@ test winFCmd-7.7 {TraverseWinTree: append \ to source if necessary} -setup { } -result {tf1} test winFCmd-7.9 {TraverseWinTree: append \ to source if necessary} -body { testfile rmdir $cdrom/ -} -constraints {win nt cdrom testfile} -returnCodes error -match glob \ +} -constraints {win cdrom testfile} -returnCodes error -match glob \ -result {* EACCES} test winFCmd-7.10 {TraverseWinTree: can't read directory: handle == INVALID} \ {win emptyTest} { @@ -857,7 +835,7 @@ test winFCmd-7.13 {TraverseWinTree: append \ to target if necessary} -setup { } -result {tf1} test winFCmd-7.15 {TraverseWinTree: append \ to target if necessary} -setup { cleanup -} -constraints {win nt testfile} -body { +} -constraints {win testfile} -body { file mkdir td1 testfile cpdir td1 / } -cleanup { @@ -1072,7 +1050,7 @@ test winFCmd-12.5 {ConvertFileNameFormat: absolute path} -body { } -constraints {win} -result {/ /} test winFCmd-12.6 {ConvertFileNameFormat: absolute path with drive} -setup { catch {file delete -force -- c:/td1} -} -constraints {win win2000orXP} -body { +} -constraints {win winXP} -body { createfile c:/td1 {} string tolower [file attributes c:/td1 -longname] } -cleanup { @@ -1350,13 +1328,13 @@ test winFCmd-18.8 {Windows reserved path names} -constraints win -body { file normalize cOm1: } -result COM1 -test winFCmd-19.1 {Windows extended path names} -constraints nt -body { +test winFCmd-19.1 {Windows extended path names} -constraints win -body { file normalize //?/c:/windows/win.ini } -result //?/c:/windows/win.ini -test winFCmd-19.2 {Windows extended path names} -constraints nt -body { +test winFCmd-19.2 {Windows extended path names} -constraints win -body { file normalize //?/c:/windows/../windows/win.ini } -result //?/c:/windows/win.ini -test winFCmd-19.3 {Windows extended path names} -constraints nt -setup { +test winFCmd-19.3 {Windows extended path names} -constraints win -setup { set tmpfile [file join $::env(TEMP) tcl[string repeat x 20].tmp] set tmpfile [file normalize $tmpfile] } -body { @@ -1367,7 +1345,7 @@ test winFCmd-19.3 {Windows extended path names} -constraints nt -setup { } -cleanup { catch {file delete $tmpfile} } -result [list 0 {}] -test winFCmd-19.4 {Windows extended path names} -constraints nt -setup { +test winFCmd-19.4 {Windows extended path names} -constraints win -setup { set tmpfile [file join $::env(TEMP) tcl[string repeat x 20].tmp] set tmpfile //?/[file normalize $tmpfile] } -body { @@ -1378,7 +1356,7 @@ test winFCmd-19.4 {Windows extended path names} -constraints nt -setup { } -cleanup { catch {file delete $tmpfile} } -result [list 0 {}] -test winFCmd-19.5 {Windows extended path names} -constraints nt -setup { +test winFCmd-19.5 {Windows extended path names} -constraints win -setup { set tmpfile [file join $::env(TEMP) tcl[string repeat x 248].tmp] set tmpfile [file normalize $tmpfile] } -body { @@ -1389,7 +1367,7 @@ test winFCmd-19.5 {Windows extended path names} -constraints nt -setup { } -cleanup { catch {file delete $tmpfile} } -result [list 0 {}] -test winFCmd-19.6 {Windows extended path names} -constraints nt -setup { +test winFCmd-19.6 {Windows extended path names} -constraints win -setup { set tmpfile [file join $::env(TEMP) tcl[string repeat x 248].tmp] set tmpfile //?/[file normalize $tmpfile] } -body { @@ -1400,7 +1378,7 @@ test winFCmd-19.6 {Windows extended path names} -constraints nt -setup { } -cleanup { catch {file delete $tmpfile} } -result [list 0 {}] -test winFCmd-19.7 {Windows extended path names} -constraints nt -setup { +test winFCmd-19.7 {Windows extended path names} -constraints win -setup { set tmpfile [file join $::env(TEMP) "tcl[pid].tmp "] set tmpfile [file normalize $tmpfile] } -body { @@ -1411,7 +1389,7 @@ test winFCmd-19.7 {Windows extended path names} -constraints nt -setup { } -cleanup { catch {file delete $tmpfile} } -result [list 0 {} [list tcl[pid].tmp]] -test winFCmd-19.8 {Windows extended path names} -constraints nt -setup { +test winFCmd-19.8 {Windows extended path names} -constraints win -setup { set tmpfile [file join $::env(TEMP) "tcl[pid].tmp "] set tmpfile //?/[file normalize $tmpfile] } -body { @@ -1423,7 +1401,7 @@ test winFCmd-19.8 {Windows extended path names} -constraints nt -setup { catch {file delete $tmpfile} } -result [list 0 {} [list "tcl[pid].tmp "]] -test winFCmd-19.9 {Windows devices path names} -constraints nt -body { +test winFCmd-19.9 {Windows devices path names} -constraints win -body { file normalize //./com1 } -result //./com1 diff --git a/tests/winFile.test b/tests/winFile.test index 2c47f5f..0020d6f 100644 --- a/tests/winFile.test +++ b/tests/winFile.test @@ -21,23 +21,19 @@ catch [list package require -exact Tcltest [info patchlevel]] testConstraint testvolumetype [llength [info commands testvolumetype]] testConstraint notNTFS 0 -testConstraint win2000 0 if {[testConstraint testvolumetype]} { testConstraint notNTFS [expr {[testvolumetype] eq "NTFS"}] } -if {[testConstraint nt] && $::tcl_platform(osVersion) >= 5.0} { - testConstraint win2000 1 -} test winFile-1.1 {TclpGetUserHome} -constraints {win} -body { glob ~nosuchuser } -returnCodes error -result {user "nosuchuser" doesn't exist} -test winFile-1.2 {TclpGetUserHome} -constraints {win nt nonPortable} -body { +test winFile-1.2 {TclpGetUserHome} -constraints {win nonPortable} -body { # The administrator account should always exist. glob ~administrator } -match glob -result * -test winFile-1.4 {TclpGetUserHome} {win nt nonPortable} { +test winFile-1.4 {TclpGetUserHome} {win nonPortable} { catch {glob ~stanton@workgroup} } {0} @@ -151,25 +147,10 @@ if {[testConstraint win]} { close [open $fname w] } -test winFile-4.0 { - Enhanced NTFS user/group permissions: test no acccess -} -constraints { - win nt notNTFS win2000 -} -setup { - set owner [getuser $fname] - set user $::env(USERDOMAIN)\\$::env(USERNAME) -} -body { - # Clean out all well-known ACLs - catch {cacls $fname /E /R "Everyone"} result - catch {cacls $fname /E /R $user} result - catch {cacls $fname /E /R $owner} result - cacls $fname /E /P $user:N - test_access $fname 0 0 -} -result {} test winFile-4.1 { Enhanced NTFS user/group permissions: test readable only } -constraints { - win nt notNTFS + win notNTFS } -setup { set user $::env(USERDOMAIN)\\$::env(USERNAME) } -body { @@ -180,7 +161,7 @@ test winFile-4.1 { test winFile-4.2 { Enhanced NTFS user/group permissions: test writable only } -constraints { - win nt notNTFS + win notNTFS } -setup { set user $::env(USERDOMAIN)\\$::env(USERNAME) } -body { @@ -192,7 +173,7 @@ test winFile-4.2 { test winFile-4.3 { Enhanced NTFS user/group permissions: test read+write } -constraints { - win nt notNTFS + win notNTFS } -setup { set user $::env(USERDOMAIN)\\$::env(USERNAME) } -body { @@ -205,7 +186,7 @@ test winFile-4.3 { test winFile-4.4 { Enhanced NTFS user/group permissions: test full access } -constraints { - win nt notNTFS + win notNTFS } -setup { set user $::env(USERDOMAIN)\\$::env(USERNAME) } -body { diff --git a/tests/winPipe.test b/tests/winPipe.test index 8128fe2..53e46fc 100644 --- a/tests/winPipe.test +++ b/tests/winPipe.test @@ -74,11 +74,11 @@ test winpipe-1.2 {32 bit comprehensive tests: from big file} {win exec cat32} { exec $cat32 < $path(big) > $path(stdout) 2> $path(stderr) list [contents $path(stdout)] [contents $path(stderr)] } "{$big} stderr32" -test winpipe-1.3 {32 bit comprehensive tests: a little from pipe} {win nt exec cat32} { +test winpipe-1.3 {32 bit comprehensive tests: a little from pipe} {win exec cat32} { exec [interpreter] $path(more) < $path(little) | $cat32 > $path(stdout) 2> $path(stderr) list [contents $path(stdout)] [contents $path(stderr)] } {little stderr32} -test winpipe-1.4 {32 bit comprehensive tests: a lot from pipe} {win nt exec cat32} { +test winpipe-1.4 {32 bit comprehensive tests: a lot from pipe} {win exec cat32} { exec [interpreter] $path(more) < $path(big) | $cat32 > $path(stdout) 2> $path(stderr) list [contents $path(stdout)] [contents $path(stderr)] } "{$big} stderr32" @@ -171,7 +171,7 @@ test winpipe-1.21 {32 bit comprehensive tests: read/write application} \ set r } "bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb" -test winpipe-4.1 {Tcl_WaitPid} {win nt exec cat32} { +test winpipe-4.1 {Tcl_WaitPid} {win exec cat32} { proc readResults {f} { global x result if { [eof $f] } { -- cgit v0.12 From 028b343b32bc4726f0105e37806be745bdabfd67 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 15 Dec 2016 15:18:21 +0000 Subject: Add back testcase winFile-4.10. This test passes anyway, even though it appeared to be Windows 2000 only. --- tests/winFile.test | 15 +++++++++++++++ 1 file changed, 15 insertions(+) diff --git a/tests/winFile.test b/tests/winFile.test index 0020d6f..b2cdfa1 100644 --- a/tests/winFile.test +++ b/tests/winFile.test @@ -147,6 +147,21 @@ if {[testConstraint win]} { close [open $fname w] } +test winFile-4.0 { + Enhanced NTFS user/group permissions: test no acccess +} -constraints { + win notNTFS +} -setup { + set owner [getuser $fname] + set user $::env(USERDOMAIN)\\$::env(USERNAME) +} -body { + # Clean out all well-known ACLs + catch {cacls $fname /E /R "Everyone"} result + catch {cacls $fname /E /R $user} result + catch {cacls $fname /E /R $owner} result + cacls $fname /E /P $user:N + test_access $fname 0 0 +} -result {} test winFile-4.1 { Enhanced NTFS user/group permissions: test readable only } -constraints { -- cgit v0.12 From 43b22f924faa4963e0238f2191f56270c8d90b81 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 16 Dec 2016 16:14:57 +0000 Subject: Some more internal use of size_t in stead of int. No functional change. --- generic/tclClock.c | 5 ++--- generic/tclEncoding.c | 8 ++------ 2 files changed, 4 insertions(+), 9 deletions(-) diff --git a/generic/tclClock.c b/generic/tclClock.c index c3b29e9..27009fd 100644 --- a/generic/tclClock.c +++ b/generic/tclClock.c @@ -92,7 +92,7 @@ static const char *const literals[] = { */ typedef struct ClockClientData { - int refCount; /* Number of live references. */ + size_t refCount; /* Number of live references. */ Tcl_Obj **literals; /* Pool of object literals. */ } ClockClientData; @@ -2060,8 +2060,7 @@ ClockDeleteCmdProc( ClockClientData *data = clientData; int i; - data->refCount--; - if (data->refCount == 0) { + if (data->refCount-- <= 1) { for (i = 0; i < LIT__END; ++i) { Tcl_DecrRefCount(data->literals[i]); } diff --git a/generic/tclEncoding.c b/generic/tclEncoding.c index 8a4dc3b..91c2278 100644 --- a/generic/tclEncoding.c +++ b/generic/tclEncoding.c @@ -46,7 +46,7 @@ typedef struct Encoding { * nullSize is 2, this is a function that * returns the number of bytes in a 0x0000 * terminated string. */ - int refCount; /* Number of uses of this structure. */ + size_t refCount; /* Number of uses of this structure. */ Tcl_HashEntry *hPtr; /* Hash table entry that owns this encoding. */ } Encoding; @@ -844,11 +844,7 @@ FreeEncoding( if (encodingPtr == NULL) { return; } - if (encodingPtr->refCount<=0) { - Tcl_Panic("FreeEncoding: refcount problem !!!"); - } - encodingPtr->refCount--; - if (encodingPtr->refCount == 0) { + if (encodingPtr->refCount-- <= 1) { if (encodingPtr->freeProc != NULL) { encodingPtr->freeProc(encodingPtr->clientData); } -- cgit v0.12 From b258cc76aba7c7cb1906d863944bb4cd6ea5d1a4 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 20 Dec 2016 09:36:50 +0000 Subject: Record the fact that all stub-enabled extensions work in Tcl 8.5+, no 8.6 (or 9.0) features are needed. (Differences between 8.x and 9.0 are handled by a different stub magic value) --- generic/tcl.h | 4 ---- generic/tclStubLib.c | 14 +++++++++----- generic/tclTest.c | 8 ++++---- tools/tsdPerf.c | 2 +- unix/dltest/pkga.c | 2 +- unix/dltest/pkgc.c | 4 ++-- unix/dltest/pkgd.c | 4 ++-- unix/dltest/pkge.c | 2 +- unix/dltest/pkgooa.c | 2 +- unix/dltest/pkgua.c | 2 +- unix/tclXtTest.c | 2 +- 11 files changed, 23 insertions(+), 23 deletions(-) diff --git a/generic/tcl.h b/generic/tcl.h index a8c68a6..d1bf47f 100644 --- a/generic/tcl.h +++ b/generic/tcl.h @@ -2410,10 +2410,6 @@ const char * TclTomMathInitializeStubs(Tcl_Interp *interp, #endif /* - * TODO - tommath stubs export goes here! - */ - -/* * Public functions that are not accessible via the stubs table. * Tcl_GetMemoryInfo is needed for AOLserver. [Bug 1868171] */ diff --git a/generic/tclStubLib.c b/generic/tclStubLib.c index afabdca..dd951bf 100644 --- a/generic/tclStubLib.c +++ b/generic/tclStubLib.c @@ -101,12 +101,16 @@ Tcl_InitStubs( } } } - tclStubsPtr = (TclStubs *)pkgData; + if (((exact&0xff00) < 0x900)) { + /* We are running Tcl 8.x */ + stubsPtr = (TclStubs *)pkgData; + } + tclStubsPtr = stubsPtr; - if (tclStubsPtr->hooks) { - tclPlatStubsPtr = tclStubsPtr->hooks->tclPlatStubs; - tclIntStubsPtr = tclStubsPtr->hooks->tclIntStubs; - tclIntPlatStubsPtr = tclStubsPtr->hooks->tclIntPlatStubs; + if (stubsPtr->hooks) { + tclPlatStubsPtr = stubsPtr->hooks->tclPlatStubs; + tclIntStubsPtr = stubsPtr->hooks->tclIntStubs; + tclIntPlatStubsPtr = stubsPtr->hooks->tclIntPlatStubs; } else { tclPlatStubsPtr = NULL; tclIntStubsPtr = NULL; diff --git a/generic/tclTest.c b/generic/tclTest.c index dee1fe7..56878e9 100644 --- a/generic/tclTest.c +++ b/generic/tclTest.c @@ -544,10 +544,10 @@ Tcltest_Init( "-appinitprocclosestderr", "-appinitprocsetrcfile", NULL }; - if (Tcl_InitStubs(interp, "8.5", 0) == NULL) { + if (Tcl_InitStubs(interp, "8.5-", 0) == NULL) { return TCL_ERROR; } - if (Tcl_TomMath_InitStubs(interp, "8.5") == NULL) { + if (Tcl_TomMath_InitStubs(interp, "8.5-") == NULL) { return TCL_ERROR; } if (Tcl_OOInitStubs(interp) == NULL) { @@ -786,7 +786,7 @@ int Tcltest_SafeInit( Tcl_Interp *interp) /* Interpreter for application. */ { - if (Tcl_InitStubs(interp, "8.5", 0) == NULL) { + if (Tcl_InitStubs(interp, "8.5-", 0) == NULL) { return TCL_ERROR; } return Procbodytest_SafeInit(interp); @@ -4639,7 +4639,7 @@ TestpanicCmd( int argc, /* Number of arguments. */ const char **argv) /* Argument strings. */ { - const char *argString; + char *argString; /* * Put the arguments into a var args structure diff --git a/tools/tsdPerf.c b/tools/tsdPerf.c index 40004b1..a75e962 100644 --- a/tools/tsdPerf.c +++ b/tools/tsdPerf.c @@ -40,7 +40,7 @@ tsdPerfGetObjCmd(ClientData cdata, Tcl_Interp *interp, int objc, Tcl_Obj *const int Tsdperf_Init(Tcl_Interp *interp) { - if (Tcl_InitStubs(interp, TCL_VERSION, 0) == NULL) { + if (Tcl_InitStubs(interp, "8.5-", 0) == NULL) { return TCL_ERROR; } diff --git a/unix/dltest/pkga.c b/unix/dltest/pkga.c index 2aee1b8..5bf3c1e 100644 --- a/unix/dltest/pkga.c +++ b/unix/dltest/pkga.c @@ -123,7 +123,7 @@ Pkga_Init( { int code; - if (Tcl_InitStubs(interp, TCL_VERSION, 0) == NULL) { + if (Tcl_InitStubs(interp, "8.5-", 0) == NULL) { return TCL_ERROR; } code = Tcl_PkgProvide(interp, "Pkga", "1.0"); diff --git a/unix/dltest/pkgc.c b/unix/dltest/pkgc.c index 48e4d2a..983fcf3 100644 --- a/unix/dltest/pkgc.c +++ b/unix/dltest/pkgc.c @@ -113,7 +113,7 @@ Pkgc_Init( { int code; - if (Tcl_InitStubs(interp, TCL_VERSION, 0) == NULL) { + if (Tcl_InitStubs(interp, "8.5-", 0) == NULL) { return TCL_ERROR; } code = Tcl_PkgProvide(interp, "Pkgc", "1.7.2"); @@ -150,7 +150,7 @@ Pkgc_SafeInit( { int code; - if (Tcl_InitStubs(interp, TCL_VERSION, 0) == NULL) { + if (Tcl_InitStubs(interp, "8.5-", 0) == NULL) { return TCL_ERROR; } code = Tcl_PkgProvide(interp, "Pkgc", "1.7.2"); diff --git a/unix/dltest/pkgd.c b/unix/dltest/pkgd.c index df7bbc9..c708df0 100644 --- a/unix/dltest/pkgd.c +++ b/unix/dltest/pkgd.c @@ -113,7 +113,7 @@ Pkgd_Init( { int code; - if (Tcl_InitStubs(interp, TCL_VERSION, 0) == NULL) { + if (Tcl_InitStubs(interp, "8.5-", 0) == NULL) { return TCL_ERROR; } code = Tcl_PkgProvide(interp, "Pkgd", "7.3"); @@ -150,7 +150,7 @@ Pkgd_SafeInit( { int code; - if (Tcl_InitStubs(interp, TCL_VERSION, 0) == NULL) { + if (Tcl_InitStubs(interp, "8.5-", 0) == NULL) { return TCL_ERROR; } code = Tcl_PkgProvide(interp, "Pkgd", "7.3"); diff --git a/unix/dltest/pkge.c b/unix/dltest/pkge.c index 7160d90..f46ca74 100644 --- a/unix/dltest/pkge.c +++ b/unix/dltest/pkge.c @@ -38,7 +38,7 @@ Pkge_Init( { static const char script[] = "if 44 {open non_existent}"; - if (Tcl_InitStubs(interp, TCL_VERSION, 0) == NULL) { + if (Tcl_InitStubs(interp, "8.5-", 0) == NULL) { return TCL_ERROR; } return Tcl_EvalEx(interp, script, -1, 0); diff --git a/unix/dltest/pkgooa.c b/unix/dltest/pkgooa.c index 78af376..5a0b0ef 100644 --- a/unix/dltest/pkgooa.c +++ b/unix/dltest/pkgooa.c @@ -96,7 +96,7 @@ Pkgooa_Init( * This worked in Tcl 8.6.0, and is expected * to keep working in all future Tcl 8.x releases. */ - if (Tcl_InitStubs(interp, "8.5", 0) == NULL) { + if (Tcl_InitStubs(interp, "8.5-", 0) == NULL) { return TCL_ERROR; } if (tclStubsPtr == NULL) { diff --git a/unix/dltest/pkgua.c b/unix/dltest/pkgua.c index 8634a5e..9d5a9d9 100644 --- a/unix/dltest/pkgua.c +++ b/unix/dltest/pkgua.c @@ -199,7 +199,7 @@ Pkgua_Init( int code, cmdIndex = 0; Tcl_Command *cmdTokens; - if (Tcl_InitStubs(interp, TCL_VERSION, 0) == NULL) { + if (Tcl_InitStubs(interp, "8.5-", 0) == NULL) { return TCL_ERROR; } diff --git a/unix/tclXtTest.c b/unix/tclXtTest.c index f7c2652..cb70b58 100644 --- a/unix/tclXtTest.c +++ b/unix/tclXtTest.c @@ -48,7 +48,7 @@ int Tclxttest_Init( Tcl_Interp *interp) /* Interpreter for application. */ { - if (Tcl_InitStubs(interp, "8.1", 0) == NULL) { + if (Tcl_InitStubs(interp, "8.5-", 0) == NULL) { return TCL_ERROR; } XtToolkitInitialize(); -- cgit v0.12 From 47957139fb510e8cb49eea9050f6107756ac83d7 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 20 Dec 2016 09:46:14 +0000 Subject: more internal use of size_t in stead of int. --- generic/tclAssembly.c | 40 ++++++++++++++++++++-------------------- generic/tclBinary.c | 6 ++++-- generic/tclCompile.c | 9 ++++++--- generic/tclEnsemble.c | 10 +++++----- generic/tclExecute.c | 7 +++---- unix/tclUnixFCmd.c | 28 +++++++++++++--------------- unix/tclUnixFile.c | 15 ++++++++------- 7 files changed, 59 insertions(+), 56 deletions(-) diff --git a/generic/tclAssembly.c b/generic/tclAssembly.c index 06f277f..2212d1c 100644 --- a/generic/tclAssembly.c +++ b/generic/tclAssembly.c @@ -1543,7 +1543,7 @@ AssembleOneLine( * Add the (label_name, address) pair to the hash table. */ - if (DefineLabel(assemEnvPtr, Tcl_GetString(operand1Obj)) != TCL_OK) { + if (DefineLabel(assemEnvPtr, TclGetString(operand1Obj)) != TCL_OK) { goto cleanup; } break; @@ -1722,7 +1722,7 @@ AssembleOneLine( default: Tcl_Panic("Instruction \"%s\" could not be found, can't happen\n", - Tcl_GetString(instNameObj)); + TclGetString(instNameObj)); } status = TCL_OK; @@ -1985,15 +1985,15 @@ CreateMirrorJumpTable( DEBUG_PRINT("jump table {\n"); for (i = 0; i < objc; i+=2) { - DEBUG_PRINT(" %s -> %s\n", Tcl_GetString(objv[i]), - Tcl_GetString(objv[i+1])); - hashEntry = Tcl_CreateHashEntry(jtHashPtr, Tcl_GetString(objv[i]), + DEBUG_PRINT(" %s -> %s\n", TclGetString(objv[i]), + TclGetString(objv[i+1])); + hashEntry = Tcl_CreateHashEntry(jtHashPtr, TclGetString(objv[i]), &isNew); if (!isNew) { if (assemEnvPtr->flags & TCL_EVAL_DIRECT) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( "duplicate entry in jump table for \"%s\"", - Tcl_GetString(objv[i]))); + TclGetString(objv[i]))); Tcl_SetErrorCode(interp, "TCL", "ASSEM", "DUPJUMPTABLEENTRY"); DeleteMirrorJumpTable(jtPtr); return TCL_ERROR; @@ -2801,7 +2801,7 @@ CalculateJumpRelocations( if (bbPtr->jumpTarget != NULL) { entry = Tcl_FindHashEntry(&assemEnvPtr->labelHash, - Tcl_GetString(bbPtr->jumpTarget)); + TclGetString(bbPtr->jumpTarget)); if (entry == NULL) { ReportUndefinedLabel(assemEnvPtr, bbPtr, bbPtr->jumpTarget); @@ -2882,10 +2882,10 @@ CheckJumpTableLabels( symEntryPtr = Tcl_NextHashEntry(&search)) { symbolObj = Tcl_GetHashValue(symEntryPtr); valEntryPtr = Tcl_FindHashEntry(&assemEnvPtr->labelHash, - Tcl_GetString(symbolObj)); + TclGetString(symbolObj)); DEBUG_PRINT(" %s -> %s (%d)\n", (char*) Tcl_GetHashKey(symHash, symEntryPtr), - Tcl_GetString(symbolObj), (valEntryPtr != NULL)); + TclGetString(symbolObj), (valEntryPtr != NULL)); if (valEntryPtr == NULL) { ReportUndefinedLabel(assemEnvPtr, bbPtr, symbolObj); return TCL_ERROR; @@ -2923,9 +2923,9 @@ ReportUndefinedLabel( if (assemEnvPtr->flags & TCL_EVAL_DIRECT) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( - "undefined label \"%s\"", Tcl_GetString(jumpTarget))); + "undefined label \"%s\"", TclGetString(jumpTarget))); Tcl_SetErrorCode(interp, "TCL", "ASSEM", "NOLABEL", - Tcl_GetString(jumpTarget), NULL); + TclGetString(jumpTarget), NULL); Tcl_SetErrorLine(interp, bbPtr->jumpLine); } } @@ -3008,7 +3008,7 @@ FillInJumpOffsets( bbPtr = bbPtr->successor1) { if (bbPtr->jumpTarget != NULL) { entry = Tcl_FindHashEntry(&assemEnvPtr->labelHash, - Tcl_GetString(bbPtr->jumpTarget)); + TclGetString(bbPtr->jumpTarget)); jumpTarget = Tcl_GetHashValue(entry); fromOffset = bbPtr->jumpOffset; targetOffset = jumpTarget->startOffset; @@ -3080,17 +3080,17 @@ ResolveJumpTableTargets( symEntryPtr != NULL; symEntryPtr = Tcl_NextHashEntry(&search)) { symbolObj = Tcl_GetHashValue(symEntryPtr); - DEBUG_PRINT(" symbol %s\n", Tcl_GetString(symbolObj)); + DEBUG_PRINT(" symbol %s\n", TclGetString(symbolObj)); valEntryPtr = Tcl_FindHashEntry(&assemEnvPtr->labelHash, - Tcl_GetString(symbolObj)); + TclGetString(symbolObj)); jumpTargetBBPtr = Tcl_GetHashValue(valEntryPtr); realJumpEntryPtr = Tcl_CreateHashEntry(realJumpHashPtr, Tcl_GetHashKey(symHash, symEntryPtr), &junk); DEBUG_PRINT(" %s -> %s -> bb %p (pc %d) hash entry %p\n", (char*) Tcl_GetHashKey(symHash, symEntryPtr), - Tcl_GetString(symbolObj), jumpTargetBBPtr, + TclGetString(symbolObj), jumpTargetBBPtr, jumpTargetBBPtr->startOffset, realJumpEntryPtr); Tcl_SetHashValue(realJumpEntryPtr, @@ -3462,7 +3462,7 @@ StackCheckBasicBlock( if (result == TCL_OK && blockPtr->jumpTarget != NULL) { entry = Tcl_FindHashEntry(&assemEnvPtr->labelHash, - Tcl_GetString(blockPtr->jumpTarget)); + TclGetString(blockPtr->jumpTarget)); jumpTarget = Tcl_GetHashValue(entry); result = StackCheckBasicBlock(assemEnvPtr, jumpTarget, blockPtr, stackDepth); @@ -3479,7 +3479,7 @@ StackCheckBasicBlock( jtEntry = Tcl_NextHashEntry(&jtSearch)) { targetLabel = Tcl_GetHashValue(jtEntry); entry = Tcl_FindHashEntry(&assemEnvPtr->labelHash, - Tcl_GetString(targetLabel)); + TclGetString(targetLabel)); jumpTarget = Tcl_GetHashValue(entry); result = StackCheckBasicBlock(assemEnvPtr, jumpTarget, blockPtr, stackDepth); @@ -3784,7 +3784,7 @@ ProcessCatchesInBasicBlock( } if (result == TCL_OK && bbPtr->jumpTarget != NULL) { entry = Tcl_FindHashEntry(&assemEnvPtr->labelHash, - Tcl_GetString(bbPtr->jumpTarget)); + TclGetString(bbPtr->jumpTarget)); jumpTarget = Tcl_GetHashValue(entry); result = ProcessCatchesInBasicBlock(assemEnvPtr, jumpTarget, jumpEnclosing, jumpState, catchDepth); @@ -3800,7 +3800,7 @@ ProcessCatchesInBasicBlock( jtEntry = Tcl_NextHashEntry(&jtSearch)) { targetLabel = Tcl_GetHashValue(jtEntry); entry = Tcl_FindHashEntry(&assemEnvPtr->labelHash, - Tcl_GetString(targetLabel)); + TclGetString(targetLabel)); jumpTarget = Tcl_GetHashValue(entry); result = ProcessCatchesInBasicBlock(assemEnvPtr, jumpTarget, jumpEnclosing, jumpState, catchDepth); @@ -4104,7 +4104,7 @@ StackFreshCatches( range->codeOffset = bbPtr->startOffset; entryPtr = Tcl_FindHashEntry(&assemEnvPtr->labelHash, - Tcl_GetString(catch->jumpTarget)); + TclGetString(catch->jumpTarget)); if (entryPtr == NULL) { Tcl_Panic("undefined label in tclAssembly.c:" "BuildExceptionRanges, can't happen"); diff --git a/generic/tclBinary.c b/generic/tclBinary.c index 4d063b2..f8c07f4 100644 --- a/generic/tclBinary.c +++ b/generic/tclBinary.c @@ -531,7 +531,8 @@ SetByteArrayFromAny( Tcl_Interp *interp, /* Not used. */ Tcl_Obj *objPtr) /* The object to convert to type ByteArray. */ { - int length, improper = 0; + size_t length; + int improper = 0; const char *src, *srcEnd; unsigned char *dst; ByteArray *byteArrayPtr; @@ -544,7 +545,8 @@ SetByteArrayFromAny( return TCL_OK; } - src = TclGetStringFromObj(objPtr, &length); + src = TclGetString(objPtr); + length = objPtr->length; srcEnd = src + length; byteArrayPtr = ckalloc(BYTEARRAY_SIZE(length)); diff --git a/generic/tclCompile.c b/generic/tclCompile.c index c0724ee..7e6a5af 100644 --- a/generic/tclCompile.c +++ b/generic/tclCompile.c @@ -765,7 +765,8 @@ TclSetByteCodeFromAny( Interp *iPtr = (Interp *) interp; CompileEnv compEnv; /* Compilation environment structure allocated * in frame. */ - int length, result = TCL_OK; + size_t length; + int result = TCL_OK; const char *stringPtr; Proc *procPtr = iPtr->compiledProcPtr; ContLineLoc *clLocPtr; @@ -780,7 +781,8 @@ TclSetByteCodeFromAny( } #endif - stringPtr = TclGetStringFromObj(objPtr, &length); + stringPtr = TclGetString(objPtr); + length = objPtr->length; /* * TIP #280: Pick up the CmdFrame in which the BC compiler was invoked and @@ -2976,7 +2978,8 @@ TclFindCompiledLocal( varNamePtr = &cachePtr->varName0; for (i=0; i < cachePtr->numVars; varNamePtr++, i++) { if (*varNamePtr) { - localName = TclGetStringFromObj(*varNamePtr, &len); + localName = TclGetString(*varNamePtr); + len = (*varNamePtr)->length; if ((len == nameBytes) && !strncmp(name, localName, len)) { return i; } diff --git a/generic/tclEnsemble.c b/generic/tclEnsemble.c index c6407a4..6ada155 100644 --- a/generic/tclEnsemble.c +++ b/generic/tclEnsemble.c @@ -3306,7 +3306,7 @@ CompileToInvokedCommand( Tcl_Token *tokPtr; Tcl_Obj *objPtr, **words; char *bytes; - int length, i, numWords, cmdLit, extraLiteralFlags = LITERAL_CMD_NAME; + int i, numWords, cmdLit, extraLiteralFlags = LITERAL_CMD_NAME; DefineLineInformation; /* @@ -3319,8 +3319,8 @@ CompileToInvokedCommand( for (i = 0, tokPtr = parsePtr->tokenPtr; i < parsePtr->numWords; i++, tokPtr = TokenAfter(tokPtr)) { if (i > 0 && i < numWords+1) { - bytes = TclGetStringFromObj(words[i-1], &length); - PushLiteral(envPtr, bytes, length); + bytes = TclGetString(words[i-1]); + PushLiteral(envPtr, bytes, words[i-1]->length); continue; } @@ -3348,11 +3348,11 @@ CompileToInvokedCommand( objPtr = Tcl_NewObj(); Tcl_GetCommandFullName(interp, (Tcl_Command) cmdPtr, objPtr); - bytes = Tcl_GetStringFromObj(objPtr, &length); + bytes = TclGetString(objPtr); if ((cmdPtr != NULL) && (cmdPtr->flags & CMD_VIA_RESOLVER)) { extraLiteralFlags |= LITERAL_UNSHARED; } - cmdLit = TclRegisterLiteral(envPtr, bytes, length, extraLiteralFlags); + cmdLit = TclRegisterLiteral(envPtr, bytes, objPtr->length, extraLiteralFlags); TclSetCmdNameObj(interp, TclFetchLiteral(envPtr, cmdLit), cmdPtr); TclEmitPush(cmdLit, envPtr); TclDecrRefCount(objPtr); diff --git a/generic/tclExecute.c b/generic/tclExecute.c index 074b1d5..6fef292 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -1541,11 +1541,10 @@ CompileExprObj( * TIP #280: No invoker (yet) - Expression compilation. */ - int length; - const char *string = TclGetStringFromObj(objPtr, &length); + const char *string = TclGetString(objPtr); - TclInitCompileEnv(interp, &compEnv, string, length, NULL, 0); - TclCompileExpr(interp, string, length, &compEnv, 0); + TclInitCompileEnv(interp, &compEnv, string, objPtr->length, NULL, 0); + TclCompileExpr(interp, string, objPtr->length, &compEnv, 0); /* * Successful compilation. If the expression yielded no instructions, diff --git a/unix/tclUnixFCmd.c b/unix/tclUnixFCmd.c index 4d38f8e..e156f77 100644 --- a/unix/tclUnixFCmd.c +++ b/unix/tclUnixFCmd.c @@ -1507,11 +1507,10 @@ SetGroupAttribute( Tcl_DString ds; struct group *groupPtr = NULL; const char *string; - int length; - string = TclGetStringFromObj(attributePtr, &length); + string = TclGetString(attributePtr); - native = Tcl_UtfToExternalDString(NULL, string, length, &ds); + native = Tcl_UtfToExternalDString(NULL, string, attributePtr->length, &ds); groupPtr = TclpGetGrNam(native); /* INTL: Native. */ Tcl_DStringFree(&ds); @@ -1574,11 +1573,10 @@ SetOwnerAttribute( Tcl_DString ds; struct passwd *pwPtr = NULL; const char *string; - int length; - string = TclGetStringFromObj(attributePtr, &length); + string = TclGetString(attributePtr); - native = Tcl_UtfToExternalDString(NULL, string, length, &ds); + native = Tcl_UtfToExternalDString(NULL, string, attributePtr->length, &ds); pwPtr = TclpGetPwNam(native); /* INTL: Native. */ Tcl_DStringFree(&ds); @@ -1946,9 +1944,9 @@ TclpObjNormalizePath( int nextCheckpoint) { const char *currentPathEndPosition; - int pathLen; char cur; - const char *path = TclGetStringFromObj(pathPtr, &pathLen); + const char *path = TclGetString(pathPtr); + size_t pathLen = pathPtr->length; Tcl_DString ds; const char *nativePath; #ifndef NO_REALPATH @@ -2177,15 +2175,15 @@ TclUnixOpenTemporaryFile( { Tcl_DString template, tmp; const char *string; - int len, fd; + int fd; /* * We should also check against making more then TMP_MAX of these. */ if (dirObj) { - string = TclGetStringFromObj(dirObj, &len); - Tcl_UtfToExternalDString(NULL, string, len, &template); + string = TclGetString(dirObj); + Tcl_UtfToExternalDString(NULL, string, dirObj->length, &template); } else { Tcl_DStringInit(&template); Tcl_DStringAppend(&template, DefaultTempDir(), -1); /* INTL: native */ @@ -2194,8 +2192,8 @@ TclUnixOpenTemporaryFile( TclDStringAppendLiteral(&template, "/"); if (basenameObj) { - string = TclGetStringFromObj(basenameObj, &len); - Tcl_UtfToExternalDString(NULL, string, len, &tmp); + string = TclGetString(basenameObj); + Tcl_UtfToExternalDString(NULL, string, basenameObj->length, &tmp); TclDStringAppendDString(&template, &tmp); Tcl_DStringFree(&tmp); } else { @@ -2206,8 +2204,8 @@ TclUnixOpenTemporaryFile( #ifdef HAVE_MKSTEMPS if (extensionObj) { - string = TclGetStringFromObj(extensionObj, &len); - Tcl_UtfToExternalDString(NULL, string, len, &tmp); + string = TclGetString(extensionObj); + Tcl_UtfToExternalDString(NULL, string, extensionObj->length, &tmp); TclDStringAppendDString(&template, &tmp); fd = mkstemps(Tcl_DStringValue(&template), Tcl_DStringLength(&tmp)); Tcl_DStringFree(&tmp); diff --git a/unix/tclUnixFile.c b/unix/tclUnixFile.c index 886b5ad..5f5bfe0 100644 --- a/unix/tclUnixFile.c +++ b/unix/tclUnixFile.c @@ -262,14 +262,15 @@ TclpMatchInDirectory( DIR *d; Tcl_DirEntry *entryPtr; const char *dirName; - int dirLength, nativeDirLen; + size_t dirLength, nativeDirLen; int matchHidden, matchHiddenPat; Tcl_StatBuf statBuf; Tcl_DString ds; /* native encoding of dir */ Tcl_DString dsOrig; /* utf-8 encoding of dir */ Tcl_DStringInit(&dsOrig); - dirName = TclGetStringFromObj(fileNamePtr, &dirLength); + dirName = TclGetString(fileNamePtr); + dirLength = fileNamePtr->length; Tcl_DStringAppend(&dsOrig, dirName, dirLength); /* @@ -937,7 +938,6 @@ TclpObjLink( */ if (linkAction & TCL_CREATE_SYMBOLIC_LINK) { - int targetLen; Tcl_DString ds; Tcl_Obj *transPtr; @@ -951,8 +951,8 @@ TclpObjLink( if (transPtr == NULL) { return NULL; } - target = TclGetStringFromObj(transPtr, &targetLen); - target = Tcl_UtfToExternalDString(NULL, target, targetLen, &ds); + target = TclGetString(transPtr); + target = Tcl_UtfToExternalDString(NULL, target, transPtr->length, &ds); Tcl_DecrRefCount(transPtr); if (symlink(target, src) != 0) { @@ -1080,7 +1080,7 @@ TclNativeCreateNativeRep( const char *str; Tcl_DString ds; Tcl_Obj *validPathPtr; - int len; + size_t len; if (TclFSCwdIsNative()) { /* @@ -1105,7 +1105,8 @@ TclNativeCreateNativeRep( Tcl_IncrRefCount(validPathPtr); } - str = TclGetStringFromObj(validPathPtr, &len); + str = TclGetString(validPathPtr); + len = validPathPtr->length; Tcl_UtfToExternalDString(NULL, str, len, &ds); len = Tcl_DStringLength(&ds) + sizeof(char); if (strlen(Tcl_DStringValue(&ds)) < len - sizeof(char)) { -- cgit v0.12 From 9adc1d86b363addf539bedb62a8d19763f14d87c Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 20 Dec 2016 10:32:37 +0000 Subject: Document that from the "exact" parameter of Tcl_InitStubs(), only bit 0 has meaning. --- doc/InitStubs.3 | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/doc/InitStubs.3 b/doc/InitStubs.3 index fbb3f56..4423666 100644 --- a/doc/InitStubs.3 +++ b/doc/InitStubs.3 @@ -23,11 +23,11 @@ Tcl interpreter handle. A version string consisting of one or more decimal numbers separated by dots. .AP int exact in -Non-zero means that only the particular version specified by +1 means that only the particular version specified by \fIversion\fR is acceptable. -Zero means that versions newer than \fIversion\fR are also +0 means that versions newer than \fIversion\fR are also acceptable as long as they have the same major version number -as \fIversion\fR. +as \fIversion\fR. Other bits have no effect. .BE .SH INTRODUCTION .PP -- cgit v0.12 From aef9317c2b61b05b7e2c172f1cb28a3dc3988829 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 21 Dec 2016 12:59:30 +0000 Subject: Experimental (partial) fix for [39f6304c2e90549c209cd11a7920dc9921b9f48e|39f6304c2e]: Tcl_LinkVar is not tolerant to minus, plus, dot. This handled minus and plus only, not other possible errors. Will need a TIP, because the boolean type is extended to consider '-', '+' and 'o' (necessary for being able to type 'on' or 'off') as valid booleans Dot, and integer prefixes (such as 0x) not handled yet, should be handled completely different. --- doc/GetInt.3 | 4 +- generic/tclGet.c | 2 +- generic/tclLink.c | 156 +++++++++++++++++++++++++++++++++++------------------- generic/tclObj.c | 28 ++++++---- tests/link.test | 12 ++--- 5 files changed, 131 insertions(+), 71 deletions(-) diff --git a/doc/GetInt.3 b/doc/GetInt.3 index 5a3304a..99dd030 100644 --- a/doc/GetInt.3 +++ b/doc/GetInt.3 @@ -89,10 +89,10 @@ as a decimal point is not supported nor should any other sort of inter-digit separator be present. .PP \fBTcl_GetBoolean\fR expects \fIsrc\fR to specify a boolean -value. If \fIsrc\fR is any of \fB0\fR, \fBfalse\fR, +value. If \fIsrc\fR is any of \fB0\fR, \fB-\fR, \fBfalse\fR, \fBno\fR, or \fBoff\fR, then \fBTcl_GetBoolean\fR stores a zero value at \fI*boolPtr\fR. -If \fIsrc\fR is any of \fB1\fR, \fBtrue\fR, \fByes\fR, or \fBon\fR, +If \fIsrc\fR is any of \fB1\fR, \fB+\fR, \fBtrue\fR, \fByes\fR, or \fBon\fR, then 1 is stored at \fI*boolPtr\fR. Any of these values may be abbreviated, and upper-case spellings are also acceptable. diff --git a/generic/tclGet.c b/generic/tclGet.c index 97e8c7b..8898a0f 100644 --- a/generic/tclGet.c +++ b/generic/tclGet.c @@ -125,7 +125,7 @@ int Tcl_GetBoolean( Tcl_Interp *interp, /* Interpreter used for error reporting. */ const char *src, /* String containing one of the boolean values - * 1, 0, true, false, yes, no, on, off. */ + * 1, 0, +, -, true, false, yes, no, on, off. */ int *boolPtr) /* Place to store converted result, which will * be 0 or 1. */ { diff --git a/generic/tclLink.c b/generic/tclLink.c index e6dc657..8a0cb57 100644 --- a/generic/tclLink.c +++ b/generic/tclLink.c @@ -259,7 +259,8 @@ LinkTraceProc( int flags) /* Miscellaneous additional information. */ { Link *linkPtr = clientData; - int changed, valueLength; + int changed; + size_t valueLength; const char *value; char **pp; Tcl_Obj *valueObj; @@ -380,9 +381,12 @@ LinkTraceProc( case TCL_LINK_INT: if (Tcl_GetIntFromObj(NULL, valueObj, &linkPtr->lastValue.i) != TCL_OK) { - Tcl_ObjSetVar2(interp, linkPtr->varName, NULL, ObjValue(linkPtr), + if (Tcl_GetBooleanFromObj(NULL, valueObj, &linkPtr->lastValue.i) + != TCL_OK) { + Tcl_ObjSetVar2(interp, linkPtr->varName, NULL, ObjValue(linkPtr), TCL_GLOBAL_ONLY); - return (char *) "variable must have integer value"; + return (char *) "variable must have integer or boolean value"; + } } LinkedVar(int) = linkPtr->lastValue.i; break; @@ -390,9 +394,13 @@ LinkTraceProc( case TCL_LINK_WIDE_INT: if (Tcl_GetWideIntFromObj(NULL, valueObj, &linkPtr->lastValue.w) != TCL_OK) { - Tcl_ObjSetVar2(interp, linkPtr->varName, NULL, ObjValue(linkPtr), + if (Tcl_GetBooleanFromObj(NULL, valueObj, &valueInt) + != TCL_OK) { + Tcl_ObjSetVar2(interp, linkPtr->varName, NULL, ObjValue(linkPtr), TCL_GLOBAL_ONLY); - return (char *) "variable must have integer value"; + return (char *) "variable must have integer or boolean value"; + } + linkPtr->lastValue.w = (Tcl_WideInt) valueInt; } LinkedVar(Tcl_WideInt) = linkPtr->lastValue.w; break; @@ -403,12 +411,17 @@ LinkTraceProc( #ifdef ACCEPT_NAN if (valueObj->typePtr != &tclDoubleType) { #endif - Tcl_ObjSetVar2(interp, linkPtr->varName, NULL, - ObjValue(linkPtr), TCL_GLOBAL_ONLY); - return (char *) "variable must have real value"; + if (Tcl_GetBooleanFromObj(NULL, valueObj, &valueInt) + != TCL_OK) { + Tcl_ObjSetVar2(interp, linkPtr->varName, NULL, ObjValue(linkPtr), + TCL_GLOBAL_ONLY); + return (char *) "variable must have real or boolean value"; + } + linkPtr->lastValue.d = (double) valueInt; #ifdef ACCEPT_NAN + } else { + linkPtr->lastValue.d = valueObj->internalRep.doubleValue; } - linkPtr->lastValue.d = valueObj->internalRep.doubleValue; #endif } LinkedVar(double) = linkPtr->lastValue.d; @@ -425,79 +438,106 @@ LinkTraceProc( break; case TCL_LINK_CHAR: - if (Tcl_GetIntFromObj(interp, valueObj, &valueInt) != TCL_OK + if (Tcl_GetIntFromObj(NULL, valueObj, &valueInt) != TCL_OK || valueInt < SCHAR_MIN || valueInt > SCHAR_MAX) { - Tcl_ObjSetVar2(interp, linkPtr->varName, NULL, ObjValue(linkPtr), - TCL_GLOBAL_ONLY); - return (char *) "variable must have char value"; + if (Tcl_GetBooleanFromObj(NULL, valueObj, &valueInt) + != TCL_OK) { + Tcl_ObjSetVar2(interp, linkPtr->varName, NULL, ObjValue(linkPtr), + TCL_GLOBAL_ONLY); + return (char *) "variable must have char or boolean value"; + } } linkPtr->lastValue.c = (char)valueInt; LinkedVar(char) = linkPtr->lastValue.c; break; case TCL_LINK_UCHAR: - if (Tcl_GetIntFromObj(interp, valueObj, &valueInt) != TCL_OK + if (Tcl_GetIntFromObj(NULL, valueObj, &valueInt) != TCL_OK || valueInt < 0 || valueInt > UCHAR_MAX) { - Tcl_ObjSetVar2(interp, linkPtr->varName, NULL, ObjValue(linkPtr), - TCL_GLOBAL_ONLY); - return (char *) "variable must have unsigned char value"; + if (Tcl_GetBooleanFromObj(NULL, valueObj, &valueInt) + != TCL_OK) { + Tcl_ObjSetVar2(interp, linkPtr->varName, NULL, ObjValue(linkPtr), + TCL_GLOBAL_ONLY); + return (char *) "variable must have unsigned char or boolean value"; + } } linkPtr->lastValue.uc = (unsigned char) valueInt; LinkedVar(unsigned char) = linkPtr->lastValue.uc; break; case TCL_LINK_SHORT: - if (Tcl_GetIntFromObj(interp, valueObj, &valueInt) != TCL_OK + if (Tcl_GetIntFromObj(NULL, valueObj, &valueInt) != TCL_OK || valueInt < SHRT_MIN || valueInt > SHRT_MAX) { - Tcl_ObjSetVar2(interp, linkPtr->varName, NULL, ObjValue(linkPtr), - TCL_GLOBAL_ONLY); - return (char *) "variable must have short value"; + if (Tcl_GetBooleanFromObj(NULL, valueObj, &valueInt) + != TCL_OK) { + Tcl_ObjSetVar2(interp, linkPtr->varName, NULL, ObjValue(linkPtr), + TCL_GLOBAL_ONLY); + return (char *) "variable must have short or boolean value"; + } } linkPtr->lastValue.s = (short)valueInt; LinkedVar(short) = linkPtr->lastValue.s; break; case TCL_LINK_USHORT: - if (Tcl_GetIntFromObj(interp, valueObj, &valueInt) != TCL_OK + if (Tcl_GetIntFromObj(NULL, valueObj, &valueInt) != TCL_OK || valueInt < 0 || valueInt > USHRT_MAX) { - Tcl_ObjSetVar2(interp, linkPtr->varName, NULL, ObjValue(linkPtr), - TCL_GLOBAL_ONLY); - return (char *) "variable must have unsigned short value"; + if (Tcl_GetBooleanFromObj(NULL, valueObj, &valueInt) + != TCL_OK) { + Tcl_ObjSetVar2(interp, linkPtr->varName, NULL, ObjValue(linkPtr), + TCL_GLOBAL_ONLY); + return (char *) "variable must have unsigned short or boolean value"; + } } linkPtr->lastValue.us = (unsigned short)valueInt; LinkedVar(unsigned short) = linkPtr->lastValue.us; break; case TCL_LINK_UINT: - if (Tcl_GetWideIntFromObj(interp, valueObj, &valueWide) != TCL_OK + if (Tcl_GetWideIntFromObj(NULL, valueObj, &valueWide) != TCL_OK || valueWide < 0 || valueWide > UINT_MAX) { - Tcl_ObjSetVar2(interp, linkPtr->varName, NULL, ObjValue(linkPtr), - TCL_GLOBAL_ONLY); - return (char *) "variable must have unsigned int value"; + if (Tcl_GetBooleanFromObj(NULL, valueObj, &valueInt) + != TCL_OK) { + Tcl_ObjSetVar2(interp, linkPtr->varName, NULL, ObjValue(linkPtr), + TCL_GLOBAL_ONLY); + return (char *) "variable must have unsigned int or boolean value"; + } + linkPtr->lastValue.ui = (unsigned int)valueInt; + } else { + linkPtr->lastValue.ui = (unsigned int)valueWide; } - linkPtr->lastValue.ui = (unsigned int)valueWide; LinkedVar(unsigned int) = linkPtr->lastValue.ui; break; case TCL_LINK_LONG: - if (Tcl_GetWideIntFromObj(interp, valueObj, &valueWide) != TCL_OK + if (Tcl_GetWideIntFromObj(NULL, valueObj, &valueWide) != TCL_OK || valueWide < LONG_MIN || valueWide > LONG_MAX) { - Tcl_ObjSetVar2(interp, linkPtr->varName, NULL, ObjValue(linkPtr), - TCL_GLOBAL_ONLY); - return (char *) "variable must have long value"; + if (Tcl_GetBooleanFromObj(NULL, valueObj, &valueInt) + != TCL_OK) { + Tcl_ObjSetVar2(interp, linkPtr->varName, NULL, ObjValue(linkPtr), + TCL_GLOBAL_ONLY); + return (char *) "variable must have long or boolean value"; + } + linkPtr->lastValue.l = (long)valueInt; + } else { + linkPtr->lastValue.l = (long)valueWide; } - linkPtr->lastValue.l = (long)valueWide; LinkedVar(long) = linkPtr->lastValue.l; break; case TCL_LINK_ULONG: - if (Tcl_GetWideIntFromObj(interp, valueObj, &valueWide) != TCL_OK + if (Tcl_GetWideIntFromObj(NULL, valueObj, &valueWide) != TCL_OK || valueWide < 0 || (Tcl_WideUInt) valueWide > ULONG_MAX) { - Tcl_ObjSetVar2(interp, linkPtr->varName, NULL, ObjValue(linkPtr), - TCL_GLOBAL_ONLY); - return (char *) "variable must have unsigned long value"; + if (Tcl_GetBooleanFromObj(NULL, valueObj, &valueInt) + != TCL_OK) { + Tcl_ObjSetVar2(interp, linkPtr->varName, NULL, ObjValue(linkPtr), + TCL_GLOBAL_ONLY); + return (char *) "variable must have unsigned long or boolean value"; + } + linkPtr->lastValue.ul = (unsigned long)valueInt; + } else { + linkPtr->lastValue.ul = (unsigned long)valueWide; } - linkPtr->lastValue.ul = (unsigned long)valueWide; LinkedVar(unsigned long) = linkPtr->lastValue.ul; break; @@ -505,33 +545,43 @@ LinkTraceProc( /* * FIXME: represent as a bignum. */ - if (Tcl_GetWideIntFromObj(interp, valueObj, &valueWide) != TCL_OK) { - Tcl_ObjSetVar2(interp, linkPtr->varName, NULL, ObjValue(linkPtr), - TCL_GLOBAL_ONLY); - return (char *) "variable must have unsigned wide int value"; + if (Tcl_GetWideIntFromObj(NULL, valueObj, &valueWide) != TCL_OK) { + if (Tcl_GetBooleanFromObj(NULL, valueObj, &valueInt) + != TCL_OK) { + Tcl_ObjSetVar2(interp, linkPtr->varName, NULL, ObjValue(linkPtr), + TCL_GLOBAL_ONLY); + return (char *) "variable must have unsigned wide int or boolean value"; + } + linkPtr->lastValue.uw = (Tcl_WideUInt)valueInt; + } else { + linkPtr->lastValue.uw = (Tcl_WideUInt)valueWide; } - linkPtr->lastValue.uw = (Tcl_WideUInt)valueWide; LinkedVar(Tcl_WideUInt) = linkPtr->lastValue.uw; break; case TCL_LINK_FLOAT: - if (Tcl_GetDoubleFromObj(interp, valueObj, &valueDouble) != TCL_OK + if (Tcl_GetDoubleFromObj(NULL, valueObj, &valueDouble) != TCL_OK || valueDouble < -FLT_MAX || valueDouble > FLT_MAX) { - Tcl_ObjSetVar2(interp, linkPtr->varName, NULL, ObjValue(linkPtr), - TCL_GLOBAL_ONLY); - return (char *) "variable must have float value"; + if (Tcl_GetBooleanFromObj(NULL, valueObj, &valueInt) + != TCL_OK) { + Tcl_ObjSetVar2(interp, linkPtr->varName, NULL, ObjValue(linkPtr), + TCL_GLOBAL_ONLY); + return (char *) "variable must have float or boolean value"; + } + linkPtr->lastValue.f = (float)valueInt; + } else { + linkPtr->lastValue.f = (float)valueDouble; } - linkPtr->lastValue.f = (float)valueDouble; LinkedVar(float) = linkPtr->lastValue.f; break; case TCL_LINK_STRING: - value = TclGetStringFromObj(valueObj, &valueLength); - valueLength++; + value = TclGetString(valueObj); + valueLength = valueObj->length + 1; pp = (char **) linkPtr->addr; *pp = ckrealloc(*pp, valueLength); - memcpy(*pp, value, (unsigned) valueLength); + memcpy(*pp, value, valueLength); break; default: diff --git a/generic/tclObj.c b/generic/tclObj.c index 416e5ed..0c95e7c 100644 --- a/generic/tclObj.c +++ b/generic/tclObj.c @@ -2004,9 +2004,10 @@ static int ParseBoolean( register Tcl_Obj *objPtr) /* The object to parse/convert. */ { - int i, length, newBool; + int newBool; char lowerCase[6]; - const char *str = TclGetStringFromObj(objPtr, &length); + const char *str = TclGetString(objPtr); + size_t i, length = objPtr->length; if ((length == 0) || (length > 5)) { /* @@ -2029,6 +2030,18 @@ ParseBoolean( goto numericBoolean; } return TCL_ERROR; + case '-': + if (length == 1) { + newBool = 0; + goto goodBoolean; + } + return TCL_ERROR; + case '+': + if (length == 1) { + newBool = 1; + goto goodBoolean; + } + return TCL_ERROR; } /* @@ -2082,15 +2095,12 @@ ParseBoolean( } return TCL_ERROR; case 'o': - if (length < 2) { - return TCL_ERROR; - } - if (strncmp(lowerCase, "on", (size_t) length) == 0) { - newBool = 1; - goto goodBoolean; - } else if (strncmp(lowerCase, "off", (size_t) length) == 0) { + if (strncmp(lowerCase, "off", (size_t) length) == 0) { newBool = 0; goto goodBoolean; + } else if (strncmp(lowerCase, "on", (size_t) length) == 0) { + newBool = 1; + goto goodBoolean; } return TCL_ERROR; default: diff --git a/tests/link.test b/tests/link.test index 00e490c..0ea7cf6 100644 --- a/tests/link.test +++ b/tests/link.test @@ -67,14 +67,14 @@ test link-2.2 {writing bad values into variables} -setup { testlink set 43 1.23 4 - 56785678 64 250 30000 60000 0xbeefbabe 12321 32123 3.25 1231231234 testlink create 1 1 1 1 1 1 1 1 1 1 1 1 1 1 list [catch {set int 09a} msg] $msg $int -} -result {1 {can't set "int": variable must have integer value} 43} +} -result {1 {can't set "int": variable must have integer or boolean value} 43} test link-2.3 {writing bad values into variables} -setup { testlink delete } -constraints {testlink} -body { testlink set 43 1.23 4 - 56785678 64 250 30000 60000 0xbeefbabe 12321 32123 3.25 1231231234 testlink create 1 1 1 1 1 1 1 1 1 1 1 1 1 1 list [catch {set real 1.x3} msg] $msg $real -} -result {1 {can't set "real": variable must have real value} 1.23} +} -result {1 {can't set "real": variable must have real or boolean value} 1.23} test link-2.4 {writing bad values into variables} -setup { testlink delete } -constraints {testlink} -body { @@ -88,7 +88,7 @@ test link-2.5 {writing bad values into variables} -setup { testlink set 43 1.23 4 - 56785678 64 250 30000 60000 0xbeefbabe 12321 32123 3.25 1231231234 testlink create 1 1 1 1 1 1 1 1 1 1 1 1 1 1 list [catch {set wide gorp} msg] $msg $bool -} -result {1 {can't set "wide": variable must have integer value} 1} +} -result {1 {can't set "wide": variable must have integer or boolean value} 1} test link-3.1 {read-only variables} -constraints {testlink} -setup { testlink delete @@ -225,7 +225,7 @@ test link-7.4 {access to linked variables via upvar} -setup { testlink create 1 1 1 1 1 1 1 1 1 1 1 1 1 1 testlink set -4 {} {} {} {} {} {} {} {} {} {} {} {} {} list [catch x msg] $msg $int -} -result {1 {can't set "y": variable must have integer value} -4} +} -result {1 {can't set "y": variable must have integer or boolean value} -4} test link-7.5 {access to linked variables via upvar} -setup { testlink delete } -constraints {testlink} -body { @@ -236,7 +236,7 @@ test link-7.5 {access to linked variables via upvar} -setup { testlink create 1 1 1 1 1 1 1 1 1 1 1 1 1 1 testlink set -4 16.75 {} {} {} {} {} {} {} {} {} {} {} {} list [catch x msg] $msg $real -} -result {1 {can't set "y": variable must have real value} 16.75} +} -result {1 {can't set "y": variable must have real or boolean value} 16.75} test link-7.6 {access to linked variables via upvar} -setup { testlink delete } -constraints {testlink} -body { @@ -258,7 +258,7 @@ test link-7.7 {access to linked variables via upvar} -setup { testlink create 1 1 1 1 1 1 1 1 1 1 1 1 1 1 testlink set -4 16.3 1 {} 778899 {} {} {} {} {} {} {} {} {} list [catch x msg] $msg $wide -} -result {1 {can't set "y": variable must have integer value} 778899} +} -result {1 {can't set "y": variable must have integer or boolean value} 778899} test link-8.1 {Tcl_UpdateLinkedVar procedure} {testlink} { proc x args { -- cgit v0.12 From 87a0d0b706167c246ba2a4e61fc7f87b69c3b7a2 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 22 Dec 2016 11:38:22 +0000 Subject: Fix some comments (which were not correct any more in this branch), and don't allow booleans in integer context. --- generic/tclLink.c | 19 +++++++++---------- 1 file changed, 9 insertions(+), 10 deletions(-) diff --git a/generic/tclLink.c b/generic/tclLink.c index f719ade..56f8a5c 100644 --- a/generic/tclLink.c +++ b/generic/tclLink.c @@ -678,10 +678,10 @@ ObjValue( } } /* - * This function works almost the same as Tcl_GetBooleanFromObj(), only - * it doesn't have an interpreter to report errors, and it considers - * the character sequences "0x", "0b" and "0o" as valid, for purpose - * of the link functionality in Tcl. See bug [39f6304c2e]. + * This function checks for integer representations, which are valid + * when linking with C variables, but which are invalid in other + * contexts in Tcl. Handled are "+", "-", "0x", "0b" and "0o" (upper- + * and lowercase). See bug [39f6304c2e]. */ int GetInvalidIntFromObj(Tcl_Obj *objPtr, @@ -697,15 +697,14 @@ GetInvalidIntFromObj(Tcl_Obj *objPtr, *intPtr = 0; return TCL_OK; } - return Tcl_GetBooleanFromObj(NULL, objPtr, intPtr); + return TCL_ERROR; } /* - * This function works almost the same as Tcl_GetBooleanFromObj(), only - * it returns a double in stead of an integer, it doesn't have an interpreter - * to report errors, and it considers the character sequences ".", "0x", "0b" - * and "0o" as valid, for purpose of the link functionality in Tcl. - * See bug [39f6304c2e]. + * This function checks for double representations, which are valid + * when linking with C variables, but which are invalid in other + * contexts in Tcl. Handled are ".", "+", "-", "0x", "0b" and "0o" + * (upper- and lowercase). See bug [39f6304c2e]. */ int GetInvalidDoubleFromObj(Tcl_Obj *objPtr, -- cgit v0.12 From dbd049268f498307121d7fb7a27dafe23d856637 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 23 Dec 2016 11:59:05 +0000 Subject: Handle other invalid sequences, like "1234e" or "-567e+", that could be the start of a valid real number. --- generic/tclLink.c | 54 +++++++++++++++++++++++++++++++++++++++++++++++++----- tests/link.test | 21 +++++++++++++++++++++ 2 files changed, 70 insertions(+), 5 deletions(-) diff --git a/generic/tclLink.c b/generic/tclLink.c index 56f8a5c..a80ec8a 100644 --- a/generic/tclLink.c +++ b/generic/tclLink.c @@ -677,6 +677,50 @@ ObjValue( return resultObj; } } + +static int SetInvalidRealFromAny(Tcl_Interp *interp, Tcl_Obj *objPtr); + +static Tcl_ObjType invalidRealType = { + "invalidReal", /* name */ + NULL, /* freeIntRepProc */ + NULL, /* dupIntRepProc */ + NULL, /* updateStringProc */ + SetInvalidRealFromAny /* setFromAnyProc */ +}; + +static int +SetInvalidRealFromAny(Tcl_Interp *interp, Tcl_Obj *objPtr) { + int length; + const char *str; + const char *endPtr; + + str = TclGetStringFromObj(objPtr, &length); + if ((length == 1) && (str[0] == '.')){ + objPtr->typePtr = &invalidRealType; + objPtr->internalRep.doubleValue = 0.0; + return TCL_OK; + } + if (TclParseNumber(NULL, objPtr, NULL, str, length, &endPtr, + TCL_PARSE_DECIMAL_ONLY|TCL_PARSE_INTEGER_ONLY) == TCL_OK) { + /* If number is followed by [eE][+-]?, then it is an invalid + * double, but it could be the start of a valid double. */ + if (*endPtr == 'e' || *endPtr == 'E') { + ++endPtr; + if (*endPtr == '+' || *endPtr == '-') ++endPtr; + if (*endPtr == 0) { + double doubleValue = 0.0; + Tcl_GetDoubleFromObj(NULL, objPtr, &doubleValue); + if (objPtr->typePtr->freeIntRepProc) objPtr->typePtr->freeIntRepProc(objPtr); + objPtr->typePtr = &invalidRealType; + objPtr->internalRep.doubleValue = doubleValue; + return TCL_OK; + } + } + } + return TCL_ERROR; +} + + /* * This function checks for integer representations, which are valid * when linking with C variables, but which are invalid in other @@ -704,17 +748,17 @@ GetInvalidIntFromObj(Tcl_Obj *objPtr, * This function checks for double representations, which are valid * when linking with C variables, but which are invalid in other * contexts in Tcl. Handled are ".", "+", "-", "0x", "0b" and "0o" - * (upper- and lowercase). See bug [39f6304c2e]. + * (upper- and lowercase) and sequences like "1e-". See bug [39f6304c2e]. */ int GetInvalidDoubleFromObj(Tcl_Obj *objPtr, double *doublePtr) { - int length, intValue, result; - const char *str = TclGetStringFromObj(objPtr, &length); + int intValue, result; - if ((length == 1) && (str[0] == '.')){ - *doublePtr = 0.0; + if ((objPtr->typePtr == &invalidRealType) || + (SetInvalidRealFromAny(NULL, objPtr) == TCL_OK)) { + *doublePtr = objPtr->internalRep.doubleValue; return TCL_OK; } result = GetInvalidIntFromObj(objPtr, &intValue); diff --git a/tests/link.test b/tests/link.test index 9ff44db..1e29ac5 100644 --- a/tests/link.test +++ b/tests/link.test @@ -141,6 +141,27 @@ test link-2.8 {writing C variables from Tcl} -constraints {testlink} -setup { set uwide "0O" concat [testlink get] | $int $real $bool $string $wide $char $uchar $short $ushort $uint $long $ulong $float $uwide } -result {0 0.0 0 0 0 0 0 0 0 0 0 0 0.0 0 | 0x 0b 0 0 0O 0X 0B 0O 0x 0b 0o 0X 0B 0O} +test link-2.8 {writing C variables from Tcl} -constraints {testlink} -setup { + testlink delete +} -body { + testlink set 43 1.21 4 - 56785678 64 250 30000 60000 0xbaadbeef 12321 32123 3.25 1231231234 + testlink create 1 1 1 1 1 1 1 1 1 1 1 1 1 1 + set int 0 + set real 5000e + set bool 0 + set string 0 + set wide 0 + set char 0 + set uchar 0 + set short 0 + set ushort 0 + set uint 0 + set long 0 + set ulong 0 + set float -6000e+ + set uwide 0 + concat [testlink get] | $int $real $bool $string $wide $char $uchar $short $ushort $uint $long $ulong $float $uwide +} -result {0 5000.0 0 0 0 0 0 0 0 0 0 0 -6000.0 0 | 0 5000e 0 0 0 0 0 0 0 0 0 0 -6000e+ 0} test link-3.1 {read-only variables} {testlink} { testlink delete -- cgit v0.12 From 2fac71b8792d6ac9f91fd9c6c6f2d5b2a98dafc4 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 23 Dec 2016 12:02:08 +0000 Subject: Little tweak: Decimal dot's should be allowed as well as first part. Test-case for that as well. --- generic/tclLink.c | 2 +- tests/link.test | 4 ++-- 2 files changed, 3 insertions(+), 3 deletions(-) diff --git a/generic/tclLink.c b/generic/tclLink.c index a80ec8a..0b21997 100644 --- a/generic/tclLink.c +++ b/generic/tclLink.c @@ -701,7 +701,7 @@ SetInvalidRealFromAny(Tcl_Interp *interp, Tcl_Obj *objPtr) { return TCL_OK; } if (TclParseNumber(NULL, objPtr, NULL, str, length, &endPtr, - TCL_PARSE_DECIMAL_ONLY|TCL_PARSE_INTEGER_ONLY) == TCL_OK) { + TCL_PARSE_DECIMAL_ONLY) == TCL_OK) { /* If number is followed by [eE][+-]?, then it is an invalid * double, but it could be the start of a valid double. */ if (*endPtr == 'e' || *endPtr == 'E') { diff --git a/tests/link.test b/tests/link.test index 1e29ac5..7bde482 100644 --- a/tests/link.test +++ b/tests/link.test @@ -158,10 +158,10 @@ test link-2.8 {writing C variables from Tcl} -constraints {testlink} -setup { set uint 0 set long 0 set ulong 0 - set float -6000e+ + set float -60.00e+ set uwide 0 concat [testlink get] | $int $real $bool $string $wide $char $uchar $short $ushort $uint $long $ulong $float $uwide -} -result {0 5000.0 0 0 0 0 0 0 0 0 0 0 -6000.0 0 | 0 5000e 0 0 0 0 0 0 0 0 0 0 -6000e+ 0} +} -result {0 5000.0 0 0 0 0 0 0 0 0 0 0 -60.0 0 | 0 5000e 0 0 0 0 0 0 0 0 0 0 -60.00e+ 0} test link-3.1 {read-only variables} {testlink} { testlink delete -- cgit v0.12