diff options
Diffstat (limited to 'libtommath/demo/demo.c')
-rw-r--r-- | libtommath/demo/demo.c | 736 |
1 files changed, 0 insertions, 736 deletions
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 <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; -} |