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tomsfastmath/demo/test.c
Steffen Jaeckel 6ac31fe980 more clean-up & relicense
2019-10-03 16:54:37 +02:00

441 lines
15 KiB
C
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/* TomsFastMath, a fast ISO C bignum library. -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* TFM demo program */
#include <tfm.h>
#include <time.h>
#include <unistd.h>
#ifndef TFM_DEMO_TEST_VS_MTEST
#define TFM_DEMO_TEST_VS_MTEST 1
#endif
void draw(fp_int *a)
{
int x;
printf("%d, %d, ", a->used, a->sign);
for (x = a->used - 1; x >= 0; x--) {
#if SIZEOF_FP_DIGIT == 4
printf("%08lx ", a->dp[x]);
#else
printf("%016llx ", a->dp[x]);
#endif
}
printf("\n");
}
int myrng(unsigned char *dst, int len, void *dat)
{
int x;
(void)dat;
for (x = 0; x < len; x++) dst[x] = rand() & 0xFF;
return len;
}
char cmd[4096], buf[4096];
int main(void)
{
fp_int a,b,c,d,e,f;
unsigned long ix;
#if TFM_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, mul_d_n, cnt, rr;
#else
fp_digit fp;
int n, err;
#endif
srand(time(NULL));
printf("TFM Ident string:\n%s\n\n", fp_ident());
fp_zero(&b); fp_zero(&c); fp_zero(&d); fp_zero(&e); fp_zero(&f);
fp_zero(&a);
#if TFM_DEMO_TEST_VS_MTEST == 0
draw(&a);
/* test set and simple shifts */
printf("Testing mul/div 2\n");
fp_set(&a, 1); draw(&a);
for (n = 0; n <= DIGIT_BIT; n++) {
fp_mul_2(&a, &a); printf("(%d) ", fp_count_bits(&a));
draw(&a);
}
for (n = 0; n <= (DIGIT_BIT + 1); n++) {
fp_div_2(&a, &a);
draw(&a);
}
fp_set(&a, 1);
/* test lshd/rshd */
printf("testing lshd/rshd\n");
fp_lshd(&a, 3); draw(&a);
fp_rshd(&a, 3); draw(&a);
/* test more complicated shifts */
printf("Testing mul/div 2d\n");
fp_mul_2d(&a, DIGIT_BIT/2, &a); draw(&a);
fp_div_2d(&a, DIGIT_BIT/2, &a, NULL); draw(&a);
fp_mul_2d(&a, DIGIT_BIT + DIGIT_BIT/2, &a); draw(&a);
fp_div_2d(&a, DIGIT_BIT + DIGIT_BIT/2, &a, NULL); draw(&a);
/* test neg/abs */
printf("testing neg/abs\n");
fp_neg(&a, &a); draw(&a);
fp_neg(&a, &a); draw(&a);
fp_neg(&a, &a); draw(&a);
fp_abs(&a, &a); draw(&a);
/* test comparisons */
fp_set(&b, 3);
fp_set(&c, 4); fp_neg(&c, &c);
fp_set(&d, 1);
printf("Testing compares\n%d, %d, %d, %d\n", fp_cmp(&a, &b), fp_cmp(&a, &c), fp_cmp(&a, &d), fp_cmp(&b, &c));
/* test add/sub */
printf("Testing add/sub \n");
fp_set(&a, ((fp_digit)1)<<(DIGIT_BIT-1)); draw(&a);
fp_set(&b, ((fp_digit)1)<<(DIGIT_BIT-2));
fp_add(&a, &b, &a); draw(&a);
fp_add(&a, &b, &a); draw(&a);
fp_add(&a, &b, &a); draw(&a);
printf("sub...\n");
printf("cmp returns: %d, ", fp_cmp(&a, &b)); fp_sub(&a, &b, &a); draw(&a);
printf("cmp returns: %d, ", fp_cmp(&a, &b)); fp_sub(&a, &b, &a); draw(&a);
printf("cmp returns: %d, ", fp_cmp(&a, &b)); fp_sub(&a, &b, &a); draw(&a);
printf("cmp returns: %d, ", fp_cmp(&a, &b)); fp_sub(&a, &b, &a); draw(&a);
printf("cmp returns: %d, ", fp_cmp(&a, &b)); fp_sub(&a, &b, &a); draw(&a);
printf("cmp returns: %d, ", fp_cmp(&a, &b)); fp_sub(&a, &b, &a); draw(&a);
fp_read_radix(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", 16); draw(&a);
fp_sub_d(&a, 3, &b); draw(&b);
fp_read_radix(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", 16);
printf("cmp returns: %d, ", fp_cmp(&a, &b)); fp_sub(&a, &b, &a); draw(&a);
/* test mul_d */
printf("Testing mul_d and div_d\n");
fp_set(&a, 1);
fp_mul_d(&a, ((fp_digit)1)<<(DIGIT_BIT/2), &a); draw(&a);
fp_mul_d(&a, ((fp_digit)1)<<(DIGIT_BIT/2), &a); draw(&a);
fp_mul_d(&a, ((fp_digit)1)<<(DIGIT_BIT/2), &a); draw(&a);
printf("div_d\n");
fp_div_d(&a, ((fp_digit)1)<<(DIGIT_BIT/2), &a, NULL); draw(&a);
fp_div_d(&a, ((fp_digit)1)<<(DIGIT_BIT/2), &a, NULL); draw(&a);
fp_div_d(&a, ((fp_digit)1)<<(DIGIT_BIT/2), &a, NULL); draw(&a);
/* testing read radix */
printf("Testing read_radix\n");
fp_read_radix(&a, "123456789012345678901234567890", 16); draw(&a);
/* test mont */
printf("Montgomery test #1\n");
fp_set(&a, 0x1234567ULL);
fp_montgomery_setup(&a, &fp);
fp_montgomery_calc_normalization(&b, &a);
fp_read_radix(&d, "123456789123", 16);
for (n = 0; n < 1000000; n++) {
fp_add_d(&d, 1, &d); fp_sqrmod(&d, &a, &d);
fp_mul(&d, &b, &c);
fp_montgomery_reduce(&c, &a, fp);
if (fp_cmp(&c, &d) != FP_EQ) {
printf("Failed mont %d\n", n);
draw(&a);
draw(&d);
draw(&c);
return EXIT_FAILURE;
}
}
printf("Passed.\n");
printf("Montgomery test #2\n");
fp_set(&a, 0x1234567ULL);
fp_lshd(&a, 4);
fp_add_d(&a, 1, &a);
fp_montgomery_setup(&a, &fp);
fp_montgomery_calc_normalization(&b, &a);
fp_read_radix(&d, "123456789123", 16);
for (n = 0; n < 1000000; n++) {
fp_add_d(&d, 1, &d); fp_sqrmod(&d, &a, &d);
fp_mul(&d, &b, &c);
fp_montgomery_reduce(&c, &a, fp);
if (fp_cmp(&c, &d) != FP_EQ) {
printf("Failed mont %d\n", n);
draw(&a);
draw(&d);
draw(&c);
return EXIT_FAILURE;
}
}
printf("Passed.\n");
/* test for size */
for (ix = 8*DIGIT_BIT; ix < 10*DIGIT_BIT; ix++) {
printf("Testing (not safe-prime): %9lu bits \r", ix); fflush(stdout);
err = fp_prime_random_ex(&a, 8, ix, (rand()&1)?TFM_PRIME_2MSB_OFF:TFM_PRIME_2MSB_ON, myrng, NULL);
if (err != FP_OKAY) {
printf("failed with err code %d\n", err);
return EXIT_FAILURE;
}
if ((unsigned long)fp_count_bits(&a) != ix) {
printf("Prime is %d not %lu bits!!!\n", fp_count_bits(&a), ix);
return EXIT_FAILURE;
}
}
printf("\n\n");
return 0;
#else
fp_zero(&b); fp_zero(&c); fp_zero(&d); fp_zero(&e); fp_zero(&f); fp_zero(&a);
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= mul_d_n = 0;
for (;;) {
printf("%4lu/%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, mul_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); fp_read_radix(&a, buf, 64);
fgets(buf, 4095, stdin); sscanf(buf, "%lu", &rr);
fgets(buf, 4095, stdin); fp_read_radix(&b, buf, 64);
fp_mul_2d(&a, rr, &a);
a.sign = b.sign;
if (fp_cmp(&a, &b) != FP_EQ) {
printf("\nmul2d failed, rr == %lu\n",rr);
draw(&a);
draw(&b);
return 0;
}
} else if (!strcmp(cmd, "div2d")) { ++div2d_n;
fgets(buf, 4095, stdin); fp_read_radix(&a, buf, 64);
fgets(buf, 4095, stdin); sscanf(buf, "%lu", &rr);
fgets(buf, 4095, stdin); fp_read_radix(&b, buf, 64);
fp_div_2d(&a, rr, &a, &e);
a.sign = b.sign;
if (a.used == b.used && a.used == 0) { a.sign = b.sign = FP_ZPOS; }
if (fp_cmp(&a, &b) != FP_EQ) {
printf("\ndiv2d failed, rr == %lu\n",rr);
draw(&a);
draw(&b);
return 0;
}
} else if (!strcmp(cmd, "add")) { ++add_n;
fgets(buf, 4095, stdin); fp_read_radix(&a, buf, 64);
fgets(buf, 4095, stdin); fp_read_radix(&b, buf, 64);
fgets(buf, 4095, stdin); fp_read_radix(&c, buf, 64);
fp_copy(&a, &d);
fp_add(&d, &b, &d);
if (fp_cmp(&c, &d) != FP_EQ) {
printf("\nadd %lu failure!\n", add_n);
draw(&a);draw(&b);draw(&c);draw(&d);
return 0;
}
/* test the sign/unsigned storage functions */
rr = fp_signed_bin_size(&c);
fp_to_signed_bin(&c, (unsigned char *)cmd);
memset(cmd+rr, rand()&255, sizeof(cmd)-rr);
fp_read_signed_bin(&d, (unsigned char *)cmd, rr);
if (fp_cmp(&c, &d) != FP_EQ) {
printf("f\np_signed_bin failure!\n");
draw(&c);
draw(&d);
return 0;
}
rr = fp_unsigned_bin_size(&c);
fp_to_unsigned_bin(&c, (unsigned char *)cmd);
memset(cmd+rr, rand()&255, sizeof(cmd)-rr);
fp_read_unsigned_bin(&d, (unsigned char *)cmd, rr);
if (fp_cmp_mag(&c, &d) != FP_EQ) {
printf("\nfp_unsigned_bin failure!\n");
draw(&c);
draw(&d);
return 0;
}
} else if (!strcmp(cmd, "sub")) { ++sub_n;
fgets(buf, 4095, stdin); fp_read_radix(&a, buf, 64);
fgets(buf, 4095, stdin); fp_read_radix(&b, buf, 64);
fgets(buf, 4095, stdin); fp_read_radix(&c, buf, 64);
fp_copy(&a, &d);
fp_sub(&d, &b, &d);
if (fp_cmp(&c, &d) != FP_EQ) {
printf("\nsub %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); fp_read_radix(&a, buf, 64);
fgets(buf, 4095, stdin); fp_read_radix(&b, buf, 64);
fgets(buf, 4095, stdin); fp_read_radix(&c, buf, 64);
//continue;
fp_copy(&a, &d);
fp_mul(&d, &b, &d);
if (fp_cmp(&c, &d) != FP_EQ) {
printf("\nmul %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); fp_read_radix(&a, buf, 64);
fgets(buf, 4095, stdin); fp_read_radix(&b, buf, 64);
fgets(buf, 4095, stdin); fp_read_radix(&c, buf, 64);
fgets(buf, 4095, stdin); fp_read_radix(&d, buf, 64);
// continue;
fp_div(&a, &b, &e, &f);
if (fp_cmp(&c, &e) != FP_EQ || fp_cmp(&d, &f) != FP_EQ) {
printf("\ndiv %lu failure!\n", div_n);
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); fp_read_radix(&a, buf, 64);
fgets(buf, 4095, stdin); fp_read_radix(&b, buf, 64);
// continue;
fp_copy(&a, &c);
fp_sqr(&c, &c);
if (fp_cmp(&b, &c) != FP_EQ) {
printf("\nsqr %lu failure!\n", sqr_n);
draw(&a);draw(&b);draw(&c);
return 0;
}
} else if (!strcmp(cmd, "gcd")) { ++gcd_n;
fgets(buf, 4095, stdin); fp_read_radix(&a, buf, 64);
fgets(buf, 4095, stdin); fp_read_radix(&b, buf, 64);
fgets(buf, 4095, stdin); fp_read_radix(&c, buf, 64);
// continue;
fp_copy(&a, &d);
fp_gcd(&d, &b, &d);
d.sign = c.sign;
if (fp_cmp(&c, &d) != FP_EQ) {
printf("\ngcd %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); fp_read_radix(&a, buf, 64);
fgets(buf, 4095, stdin); fp_read_radix(&b, buf, 64);
fgets(buf, 4095, stdin); fp_read_radix(&c, buf, 64);
//continue;
fp_copy(&a, &d);
fp_lcm(&d, &b, &d);
d.sign = c.sign;
if (fp_cmp(&c, &d) != FP_EQ) {
printf("\nlcm %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); fp_read_radix(&a, buf, 64);
fgets(buf, 4095, stdin); fp_read_radix(&b, buf, 64);
fgets(buf, 4095, stdin); fp_read_radix(&c, buf, 64);
fgets(buf, 4095, stdin); fp_read_radix(&d, buf, 64);
// continue;
fp_copy(&a, &e);
fp_exptmod(&e, &b, &c, &e);
if (fp_cmp(&d, &e) != FP_EQ) {
printf("\nexpt %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); fp_read_radix(&a, buf, 64);
fgets(buf, 4095, stdin); fp_read_radix(&b, buf, 64);
fgets(buf, 4095, stdin); fp_read_radix(&c, buf, 64);
//continue;
fp_invmod(&a, &b, &d);
#if 1
fp_mulmod(&d,&a,&b,&e);
if (fp_cmp_d(&e, 1) != FP_EQ) {
#else
if (fp_cmp(&d, &c) != FP_EQ) {
#endif
printf("\ninv [wrong value from MPI?!] failure\n");
draw(&a);draw(&b);draw(&c);draw(&d);
return 0;
}
} else if (!strcmp(cmd, "div2")) { ++div2_n;
fgets(buf, 4095, stdin); fp_read_radix(&a, buf, 64);
fgets(buf, 4095, stdin); fp_read_radix(&b, buf, 64);
fp_div_2(&a, &c);
if (fp_cmp(&c, &b) != FP_EQ) {
printf("\ndiv_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); fp_read_radix(&a, buf, 64);
fgets(buf, 4095, stdin); fp_read_radix(&b, buf, 64);
fp_mul_2(&a, &c);
if (fp_cmp(&c, &b) != FP_EQ) {
printf("\nmul_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); fp_read_radix(&a, buf, 64);
fgets(buf, 4095, stdin); sscanf(buf, "%lu", &ix);
fgets(buf, 4095, stdin); fp_read_radix(&b, buf, 64);
fp_add_d(&a, ix, &c);
if (fp_cmp(&b, &c) != FP_EQ) {
printf("\nadd_d %lu failure\n", add_d_n);
draw(&a);
draw(&b);
draw(&c);
printf("d == %lu\n", ix);
return 0;
}
} else if (!strcmp(cmd, "sub_d")) { ++sub_d_n;
fgets(buf, 4095, stdin); fp_read_radix(&a, buf, 64);
fgets(buf, 4095, stdin); sscanf(buf, "%lu", &ix);
fgets(buf, 4095, stdin); fp_read_radix(&b, buf, 64);
fp_sub_d(&a, ix, &c);
if (fp_cmp(&b, &c) != FP_EQ) {
printf("\nsub_d %lu failure\n", sub_d_n);
draw(&a);
draw(&b);
draw(&c);
printf("d == %lu\n", ix);
return 0;
}
} else if (!strcmp(cmd, "mul_d")) { ++mul_d_n;
fgets(buf, 4095, stdin); fp_read_radix(&a, buf, 64);
fgets(buf, 4095, stdin); sscanf(buf, "%lu", &ix);
fgets(buf, 4095, stdin); fp_read_radix(&b, buf, 64);
fp_mul_d(&a, ix, &c);
if (fp_cmp(&b, &c) != FP_EQ) {
printf("\nmul_d %lu failure\n", mul_d_n);
draw(&a);
draw(&b);
draw(&c);
printf("d == %lu\n", ix);
return 0;
}
} else if (!strcmp(cmd, "exit")) {
printf("\nokay, exiting now\n");
return 0;
}
}
#endif
}
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