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author | William Joye <wjoye@cfa.harvard.edu> | 2016-10-18 17:31:11 (GMT) |
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committer | William Joye <wjoye@cfa.harvard.edu> | 2016-10-18 17:31:11 (GMT) |
commit | 066971b1e6e77991d9161bb0216a63ba94ea04f9 (patch) | |
tree | 6de02f79b7a4bb08a329581aa67b444fb9001bfd /tcl8.6/libtommath/demo/demo.c | |
parent | ba065c2de121da1c1dfddd0aa587d10e7e150f05 (diff) | |
parent | 9966985d896629eede849a84f18e406d1164a16c (diff) | |
download | blt-066971b1e6e77991d9161bb0216a63ba94ea04f9.zip blt-066971b1e6e77991d9161bb0216a63ba94ea04f9.tar.gz blt-066971b1e6e77991d9161bb0216a63ba94ea04f9.tar.bz2 |
Merge commit '9966985d896629eede849a84f18e406d1164a16c' as 'tcl8.6'
Diffstat (limited to 'tcl8.6/libtommath/demo/demo.c')
-rw-r--r-- | tcl8.6/libtommath/demo/demo.c | 736 |
1 files changed, 736 insertions, 0 deletions
diff --git a/tcl8.6/libtommath/demo/demo.c b/tcl8.6/libtommath/demo/demo.c new file mode 100644 index 0000000..e1f8a5e --- /dev/null +++ b/tcl8.6/libtommath/demo/demo.c @@ -0,0 +1,736 @@ +#include <time.h> + +#ifdef IOWNANATHLON +#include <unistd.h> +#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; +} |