diff options
Diffstat (limited to 'libtommath')
-rw-r--r-- | libtommath/bn_mp_export.c | 88 | ||||
-rw-r--r-- | libtommath/bn_mp_expt_d_ex.c | 83 | ||||
-rw-r--r-- | libtommath/bn_mp_get_long.c | 41 | ||||
-rw-r--r-- | libtommath/bn_mp_get_long_long.c | 41 | ||||
-rw-r--r-- | libtommath/bn_mp_import.c | 73 | ||||
-rw-r--r-- | libtommath/bn_mp_n_root_ex.c | 132 | ||||
-rw-r--r-- | libtommath/bn_mp_set_long.c | 24 | ||||
-rw-r--r-- | libtommath/bn_mp_set_long_long.c | 24 | ||||
-rw-r--r-- | libtommath/bn_mp_sqrtmod_prime.c | 124 | ||||
-rw-r--r-- | libtommath/tommath_private.h | 125 |
10 files changed, 755 insertions, 0 deletions
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 <tommath_private.h> +#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 <tommath_private.h> +#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 <tommath_private.h> +#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 <tommath_private.h> +#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 <tommath_private.h> +#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 <tommath_private.h> +#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 <tommath_private.h> +#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 <tommath_private.h> +#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 <tommath_private.h> +#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 <tommath.h> +#include <ctype.h> + +#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 + + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ |