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-rw-r--r--libtommath/demo/demo.c975
1 files changed, 598 insertions, 377 deletions
diff --git a/libtommath/demo/demo.c b/libtommath/demo/demo.c
index 62615cd..0a6115a 100644
--- a/libtommath/demo/demo.c
+++ b/libtommath/demo/demo.c
@@ -9,15 +9,16 @@
#include "tommath.h"
-void ndraw(mp_int *a, char *name)
+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)
+static void draw(mp_int * a)
{
ndraw(a, "");
}
@@ -39,20 +40,23 @@ int lbit(void)
int myrng(unsigned char *dst, int len, void *dat)
{
int x;
- for (x = 0; x < len; x++) dst[x] = rand() & 0xFF;
+
+ for (x = 0; x < len; x++)
+ dst[x] = rand() & 0xFF;
return len;
}
- char cmd[4096], buf[4096];
+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 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);
@@ -65,108 +69,152 @@ int main(void)
srand(time(NULL));
#if 0
- // 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)) {
+ // 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,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");
+ }
+ 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;
+ }
+ }
- /* 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("\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;
+ }
- }
- printf("\n\n");
+ /* 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 < 256; 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 = 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 < 256; 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;
- }
+ 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");
@@ -194,51 +242,56 @@ int main(void)
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);
+ 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, 1);
- if (mp_cmp(&c, &b)) {
- printf("FAILED\n");
- exit(0);
- }
- }
- }
+ 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; ) {
+ for (cnt = 0; cnt < 10000;) {
mp_digit r1, r2;
- if (!(++cnt & 127)) printf("%9d\r", cnt);
+ 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\nmp_div_3 => Failure\n");
}
}
printf("\n\nPassed div_3 testing\n");
@@ -246,270 +299,438 @@ int main(void)
/* 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);
+ 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);
-
- }
+ 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;
+ 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 = 110;
- TOOM_SQR_CUTOFF = TOOM_MUL_CUTOFF = 150;
+ TOOM_SQR_CUTOFF = TOOM_MUL_CUTOFF = 150;
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;
- }
- }
+ /* 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;
}
-