diff options
Diffstat (limited to 'third_party/heimdal/lib/hcrypto/libtommath/demo/test.c')
| -rw-r--r-- | third_party/heimdal/lib/hcrypto/libtommath/demo/test.c | 2522 |
1 files changed, 2522 insertions, 0 deletions
diff --git a/third_party/heimdal/lib/hcrypto/libtommath/demo/test.c b/third_party/heimdal/lib/hcrypto/libtommath/demo/test.c new file mode 100644 index 0000000..9049fa8 --- /dev/null +++ b/third_party/heimdal/lib/hcrypto/libtommath/demo/test.c @@ -0,0 +1,2522 @@ +#include <inttypes.h> +#include "shared.h" + +static long rand_long(void) +{ + long x; + if (s_mp_rand_source(&x, sizeof(x)) != MP_OKAY) { + fprintf(stderr, "s_mp_rand_source failed\n"); + exit(EXIT_FAILURE); + } + return x; +} + +static int rand_int(void) +{ + int x; + if (s_mp_rand_source(&x, sizeof(x)) != MP_OKAY) { + fprintf(stderr, "s_mp_rand_source failed\n"); + exit(EXIT_FAILURE); + } + return x; +} + +static int32_t rand_int32(void) +{ + int32_t x; + if (s_mp_rand_source(&x, sizeof(x)) != MP_OKAY) { + fprintf(stderr, "s_mp_rand_source failed\n"); + exit(EXIT_FAILURE); + } + return x; +} + +static int64_t rand_int64(void) +{ + int64_t x; + if (s_mp_rand_source(&x, sizeof(x)) != MP_OKAY) { + fprintf(stderr, "s_mp_rand_source failed\n"); + exit(EXIT_FAILURE); + } + return x; +} + +static uint32_t uabs32(int32_t x) +{ + return x > 0 ? (uint32_t)x : -(uint32_t)x; +} + +static uint64_t uabs64(int64_t x) +{ + return x > 0 ? (uint64_t)x : -(uint64_t)x; +} + +/* This function prototype is needed + * to test dead code elimination + * which is used for feature detection. + * + * If the feature detection does not + * work as desired we will get a linker error. + */ +void does_not_exist(void); + +static int test_feature_detection(void) +{ +#define BN_TEST_FEATURE1_C + if (!MP_HAS(TEST_FEATURE1)) { + does_not_exist(); + return EXIT_FAILURE; + } + +#define BN_TEST_FEATURE2_C 1 + if (MP_HAS(TEST_FEATURE2)) { + does_not_exist(); + return EXIT_FAILURE; + } + +#define BN_TEST_FEATURE3_C 0 + if (MP_HAS(TEST_FEATURE3)) { + does_not_exist(); + return EXIT_FAILURE; + } + +#define BN_TEST_FEATURE4_C something + if (MP_HAS(TEST_FEATURE4)) { + does_not_exist(); + return EXIT_FAILURE; + } + + if (MP_HAS(TEST_FEATURE5)) { + does_not_exist(); + return EXIT_FAILURE; + } + + return EXIT_SUCCESS; +} + +static int test_trivial_stuff(void) +{ + mp_int a, b, c, d; + mp_err e; + if ((e = mp_init_multi(&a, &b, &c, &d, NULL)) != MP_OKAY) { + return EXIT_FAILURE; + } + (void)mp_error_to_string(e); + + /* a: 0->5 */ + mp_set(&a, 5u); + /* a: 5-> b: -5 */ + mp_neg(&a, &b); + if (mp_cmp(&a, &b) != MP_GT) { + goto LBL_ERR; + } + if (mp_cmp(&b, &a) != MP_LT) { + goto LBL_ERR; + } + /* a: 5-> a: -5 */ + mp_neg(&a, &a); + if (mp_cmp(&b, &a) != MP_EQ) { + goto LBL_ERR; + } + /* a: -5-> b: 5 */ + mp_abs(&a, &b); + if (mp_isneg(&b) != MP_NO) { + goto LBL_ERR; + } + /* a: -5-> b: -4 */ + mp_add_d(&a, 1uL, &b); + if (mp_isneg(&b) != MP_YES) { + goto LBL_ERR; + } + if (mp_get_i32(&b) != -4) { + goto LBL_ERR; + } + if (mp_get_u32(&b) != (uint32_t)-4) { + goto LBL_ERR; + } + if (mp_get_mag_u32(&b) != 4) { + goto LBL_ERR; + } + /* a: -5-> b: 1 */ + mp_add_d(&a, 6uL, &b); + if (mp_get_u32(&b) != 1) { + goto LBL_ERR; + } + /* a: -5-> a: 1 */ + mp_add_d(&a, 6uL, &a); + if (mp_get_u32(&a) != 1) { + goto LBL_ERR; + } + mp_zero(&a); + /* a: 0-> a: 6 */ + mp_add_d(&a, 6uL, &a); + if (mp_get_u32(&a) != 6) { + goto LBL_ERR; + } + + mp_set(&a, 42u); + mp_set(&b, 1u); + mp_neg(&b, &b); + mp_set(&c, 1u); + mp_exptmod(&a, &b, &c, &d); + + mp_set(&c, 7u); + mp_exptmod(&a, &b, &c, &d); + + if (mp_iseven(&a) == mp_isodd(&a)) { + goto LBL_ERR; + } + + mp_clear_multi(&a, &b, &c, &d, NULL); + return EXIT_SUCCESS; +LBL_ERR: + mp_clear_multi(&a, &b, &c, &d, NULL); + return EXIT_FAILURE; +} + +static int check_get_set_i32(mp_int *a, int32_t b) +{ + mp_clear(a); + if (mp_shrink(a) != MP_OKAY) return EXIT_FAILURE; + + mp_set_i32(a, b); + if (mp_shrink(a) != MP_OKAY) return EXIT_FAILURE; + if (mp_get_i32(a) != b) return EXIT_FAILURE; + if (mp_get_u32(a) != (uint32_t)b) return EXIT_FAILURE; + if (mp_get_mag_u32(a) != uabs32(b)) return EXIT_FAILURE; + + mp_set_u32(a, (uint32_t)b); + if (mp_get_u32(a) != (uint32_t)b) return EXIT_FAILURE; + if (mp_get_i32(a) != (int32_t)(uint32_t)b) return EXIT_FAILURE; + + return EXIT_SUCCESS; +} + +static int test_mp_get_set_i32(void) +{ + int i; + mp_int a; + + if (mp_init(&a) != MP_OKAY) { + return EXIT_FAILURE; + } + + check_get_set_i32(&a, 0); + check_get_set_i32(&a, -1); + check_get_set_i32(&a, 1); + check_get_set_i32(&a, INT32_MIN); + check_get_set_i32(&a, INT32_MAX); + + for (i = 0; i < 1000; ++i) { + int32_t b = rand_int32(); + if (check_get_set_i32(&a, b) != EXIT_SUCCESS) { + goto LBL_ERR; + } + } + + mp_clear(&a); + return EXIT_SUCCESS; +LBL_ERR: + mp_clear(&a); + return EXIT_FAILURE; +} + +static int check_get_set_i64(mp_int *a, int64_t b) +{ + mp_clear(a); + if (mp_shrink(a) != MP_OKAY) return EXIT_FAILURE; + + mp_set_i64(a, b); + if (mp_shrink(a) != MP_OKAY) return EXIT_FAILURE; + if (mp_get_i64(a) != b) return EXIT_FAILURE; + if (mp_get_u64(a) != (uint64_t)b) return EXIT_FAILURE; + if (mp_get_mag_u64(a) != uabs64(b)) return EXIT_FAILURE; + + mp_set_u64(a, (uint64_t)b); + if (mp_get_u64(a) != (uint64_t)b) return EXIT_FAILURE; + if (mp_get_i64(a) != (int64_t)(uint64_t)b) return EXIT_FAILURE; + + return EXIT_SUCCESS; +} + +static int test_mp_get_set_i64(void) +{ + int i; + mp_int a; + + if (mp_init(&a) != MP_OKAY) { + return EXIT_FAILURE; + } + + check_get_set_i64(&a, 0); + check_get_set_i64(&a, -1); + check_get_set_i64(&a, 1); + check_get_set_i64(&a, INT64_MIN); + check_get_set_i64(&a, INT64_MAX); + + for (i = 0; i < 1000; ++i) { + int64_t b = rand_int64(); + if (check_get_set_i64(&a, b) != EXIT_SUCCESS) { + goto LBL_ERR; + } + } + + mp_clear(&a); + return EXIT_SUCCESS; +LBL_ERR: + mp_clear(&a); + return EXIT_FAILURE; +} + +static int test_mp_fread_fwrite(void) +{ + mp_int a, b; + mp_err e; + FILE *tmp = NULL; + if ((e = mp_init_multi(&a, &b, NULL)) != MP_OKAY) { + return EXIT_FAILURE; + } + + mp_set_ul(&a, 123456uL); + tmp = tmpfile(); + if ((e = mp_fwrite(&a, 64, tmp)) != MP_OKAY) { + goto LBL_ERR; + } + rewind(tmp); + if ((e = mp_fread(&b, 64, tmp)) != MP_OKAY) { + goto LBL_ERR; + } + if (mp_get_u32(&b) != 123456uL) { + goto LBL_ERR; + } + fclose(tmp); + + mp_clear_multi(&a, &b, NULL); + return EXIT_SUCCESS; +LBL_ERR: + if (tmp != NULL) fclose(tmp); + mp_clear_multi(&a, &b, NULL); + return EXIT_FAILURE; +} + +static mp_err very_random_source(void *out, size_t size) +{ + memset(out, 0xff, size); + return MP_OKAY; +} + +static int test_mp_rand(void) +{ + mp_int a, b; + int n; + mp_err err; + if (mp_init_multi(&a, &b, NULL)!= MP_OKAY) { + return EXIT_FAILURE; + } + mp_rand_source(very_random_source); + for (n = 1; n < 1024; ++n) { + if ((err = mp_rand(&a, n)) != MP_OKAY) { + printf("Failed mp_rand() %s.\n", mp_error_to_string(err)); + break; + } + if ((err = mp_incr(&a)) != MP_OKAY) { + printf("Failed mp_incr() %s.\n", mp_error_to_string(err)); + break; + } + if ((err = mp_div_2d(&a, n * MP_DIGIT_BIT, &b, NULL)) != MP_OKAY) { + printf("Failed mp_div_2d() %s.\n", mp_error_to_string(err)); + break; + } + if (mp_cmp_d(&b, 1) != MP_EQ) { + ndraw(&a, "mp_rand() a"); + ndraw(&b, "mp_rand() b"); + err = MP_ERR; + break; + } + } + mp_rand_source(s_mp_rand_jenkins); + mp_clear_multi(&a, &b, NULL); + return err == MP_OKAY ? EXIT_SUCCESS : EXIT_FAILURE; +} + +static int test_mp_kronecker(void) +{ + struct mp_kronecker_st { + long n; + int c[21]; + }; + static struct mp_kronecker_st kronecker[] = { + /*-10, -9, -8, -7,-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10*/ + { -10, { 0, -1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 1, 0, -1, 0, 0, 0, 1, 0, 1, 0 } }, + { -9, { -1, 0, -1, 1, 0, -1, -1, 0, -1, -1, 0, 1, 1, 0, 1, 1, 0, -1, 1, 0, 1 } }, + { -8, { 0, -1, 0, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0 } }, + { -7, { 1, -1, -1, 0, 1, 1, -1, 1, -1, -1, 0, 1, 1, -1, 1, -1, -1, 0, 1, 1, -1 } }, + { -6, { 0, 0, 0, -1, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0 } }, + { -5, { 0, -1, 1, -1, 1, 0, -1, -1, 1, -1, 0, 1, -1, 1, 1, 0, -1, 1, -1, 1, 0 } }, + { -4, { 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0 } }, + { -3, { -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1 } }, + { -2, { 0, -1, 0, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0 } }, + { -1, { -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1 } }, + { 0, { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1, { 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 } }, + { 2, { 0, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0, 1, 0 } }, + { 3, { 1, 0, -1, -1, 0, -1, 1, 0, -1, 1, 0, 1, -1, 0, 1, -1, 0, -1, -1, 0, 1 } }, + { 4, { 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0 } }, + { 5, { 0, 1, -1, -1, 1, 0, 1, -1, -1, 1, 0, 1, -1, -1, 1, 0, 1, -1, -1, 1, 0 } }, + { 6, { 0, 0, 0, -1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0 } }, + { 7, { -1, 1, 1, 0, 1, -1, 1, 1, 1, 1, 0, 1, 1, 1, 1, -1, 1, 0, 1, 1, -1 } }, + { 8, { 0, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0, 1, 0 } }, + { 9, { 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1 } }, + { 10, { 0, 1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, -1, 0, 1, 0 } } + }; + + long k, m; + int i, cnt; + mp_err err; + mp_int a, b; + if (mp_init_multi(&a, &b, NULL)!= MP_OKAY) { + return EXIT_FAILURE; + } + + mp_set_ul(&a, 0uL); + mp_set_ul(&b, 1uL); + if ((err = mp_kronecker(&a, &b, &i)) != MP_OKAY) { + printf("Failed executing mp_kronecker(0 | 1) %s.\n", mp_error_to_string(err)); + goto LBL_ERR; + } + if (i != 1) { + printf("Failed trivial mp_kronecker(0 | 1) %d != 1\n", i); + goto LBL_ERR; + } + for (cnt = 0; cnt < (int)(sizeof(kronecker)/sizeof(kronecker[0])); ++cnt) { + k = kronecker[cnt].n; + mp_set_l(&a, k); + /* only test positive values of a */ + for (m = -10; m <= 10; m++) { + mp_set_l(&b, m); + if ((err = mp_kronecker(&a, &b, &i)) != MP_OKAY) { + printf("Failed executing mp_kronecker(%ld | %ld) %s.\n", kronecker[cnt].n, m, mp_error_to_string(err)); + goto LBL_ERR; + } + if ((err == MP_OKAY) && (i != kronecker[cnt].c[m + 10])) { + printf("Failed trivial mp_kronecker(%ld | %ld) %d != %d\n", kronecker[cnt].n, m, i, kronecker[cnt].c[m + 10]); + goto LBL_ERR; + } + } + } + + mp_clear_multi(&a, &b, NULL); + return EXIT_SUCCESS; +LBL_ERR: + mp_clear_multi(&a, &b, NULL); + return EXIT_FAILURE; +} + +static int test_mp_complement(void) +{ + int i; + + mp_int a, b, c; + if (mp_init_multi(&a, &b, &c, NULL)!= MP_OKAY) { + return EXIT_FAILURE; + } + + for (i = 0; i < 1000; ++i) { + long l = rand_long(); + mp_set_l(&a, l); + mp_complement(&a, &b); + + l = ~l; + mp_set_l(&c, l); + + if (mp_cmp(&b, &c) != MP_EQ) { + printf("\nmp_complement() bad result!"); + goto LBL_ERR; + } + } + + mp_clear_multi(&a, &b, &c, NULL); + return EXIT_SUCCESS; +LBL_ERR: + mp_clear_multi(&a, &b, &c, NULL); + return EXIT_FAILURE; +} + +static int test_mp_signed_rsh(void) +{ + int i; + + mp_int a, b, d; + if (mp_init_multi(&a, &b, &d, NULL)!= MP_OKAY) { + return EXIT_FAILURE; + } + + for (i = 0; i < 1000; ++i) { + long l; + int em; + + l = rand_long(); + mp_set_l(&a, l); + + em = abs(rand_int()) % 32; + + mp_set_l(&d, l >> em); + + mp_signed_rsh(&a, em, &b); + if (mp_cmp(&b, &d) != MP_EQ) { + printf("\nmp_signed_rsh() bad result!"); + goto LBL_ERR; + } + } + + mp_clear_multi(&a, &b, &d, NULL); + return EXIT_SUCCESS; +LBL_ERR: + mp_clear_multi(&a, &b, &d, NULL); + return EXIT_FAILURE; + +} + +static int test_mp_xor(void) +{ + int i; + + mp_int a, b, c, d; + if (mp_init_multi(&a, &b, &c, &d, NULL)!= MP_OKAY) { + return EXIT_FAILURE; + } + + for (i = 0; i < 1000; ++i) { + long l, em; + + l = rand_long(); + mp_set_l(&a,l); + + em = rand_long(); + mp_set_l(&b, em); + + mp_set_l(&d, l ^ em); + + mp_xor(&a, &b, &c); + if (mp_cmp(&c, &d) != MP_EQ) { + printf("\nmp_xor() bad result!"); + goto LBL_ERR; + } + } + + mp_clear_multi(&a, &b, &c, &d, NULL); + return EXIT_SUCCESS; +LBL_ERR: + mp_clear_multi(&a, &b, &c, &d, NULL); + return EXIT_FAILURE; + +} + +static int test_mp_or(void) +{ + int i; + + mp_int a, b, c, d; + if (mp_init_multi(&a, &b, &c, &d, NULL)!= MP_OKAY) { + return EXIT_FAILURE; + } + + for (i = 0; i < 1000; ++i) { + long l, em; + + l = rand_long(); + mp_set_l(&a, l); + + em = rand_long(); + mp_set_l(&b, em); + + mp_set_l(&d, l | em); + + mp_or(&a, &b, &c); + if (mp_cmp(&c, &d) != MP_EQ) { + printf("\nmp_or() bad result!"); + goto LBL_ERR; + } + } + + mp_clear_multi(&a, &b, &c, &d, NULL); + return EXIT_SUCCESS; +LBL_ERR: + mp_clear_multi(&a, &b, &c, &d, NULL); + return EXIT_FAILURE; +} + +static int test_mp_and(void) +{ + int i; + + mp_int a, b, c, d; + if (mp_init_multi(&a, &b, &c, &d, NULL)!= MP_OKAY) { + return EXIT_FAILURE; + } + + for (i = 0; i < 1000; ++i) { + long l, em; + + l = rand_long(); + mp_set_l(&a, l); + + em = rand_long(); + mp_set_l(&b, em); + + mp_set_l(&d, l & em); + + mp_and(&a, &b, &c); + if (mp_cmp(&c, &d) != MP_EQ) { + printf("\nmp_and() bad result!"); + goto LBL_ERR; + } + } + + mp_clear_multi(&a, &b, &c, &d, NULL); + return EXIT_SUCCESS; +LBL_ERR: + mp_clear_multi(&a, &b, &c, &d, NULL); + return EXIT_FAILURE; +} + +static int test_mp_invmod(void) +{ + mp_int a, b, c, d; + if (mp_init_multi(&a, &b, &c, &d, NULL)!= MP_OKAY) { + return EXIT_FAILURE; + } + + /* mp_invmod corner-case of https://github.com/libtom/libtommath/issues/118 */ + { + const char *a_ = "47182BB8DF0FFE9F61B1F269BACC066B48BA145D35137D426328DC3F88A5EA44"; + const char *b_ = "FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF00000000FFFFFFFFFFFFFFFF"; + const char *should_ = "0521A82E10376F8E4FDEF9A32A427AC2A0FFF686E00290D39E3E4B5522409596"; + + if (mp_read_radix(&a, a_, 16) != MP_OKAY) { + printf("\nmp_read_radix(a) failed!"); + goto LBL_ERR; + } + if (mp_read_radix(&b, b_, 16) != MP_OKAY) { + printf("\nmp_read_radix(b) failed!"); + goto LBL_ERR; + } + if (mp_read_radix(&c, should_, 16) != MP_OKAY) { + printf("\nmp_read_radix(should) failed!"); + goto LBL_ERR; + } + + if (mp_invmod(&a, &b, &d) != MP_OKAY) { + printf("\nmp_invmod() failed!"); + goto LBL_ERR; + } + + if (mp_cmp(&c, &d) != MP_EQ) { + printf("\nmp_invmod() bad result!"); + goto LBL_ERR; + } + } + + mp_clear_multi(&a, &b, &c, &d, NULL); + return EXIT_SUCCESS; +LBL_ERR: + mp_clear_multi(&a, &b, &c, &d, NULL); + return EXIT_FAILURE; + +} + +#if defined(__STDC_IEC_559__) || defined(__GCC_IEC_559) || defined(__x86_64__) || defined(_M_X64) || defined(_M_AMD64) || defined(__i386__) || defined(_M_X86) || defined(__aarch64__) || defined(__arm__) +static int test_mp_set_double(void) +{ + int i; + + mp_int a, b; + if (mp_init_multi(&a, &b, NULL)!= MP_OKAY) { + return EXIT_FAILURE; + } + + /* test mp_get_double/mp_set_double */ + if (mp_set_double(&a, +1.0/0.0) != MP_VAL) { + printf("\nmp_set_double should return MP_VAL for +inf"); + goto LBL_ERR; + } + if (mp_set_double(&a, -1.0/0.0) != MP_VAL) { + printf("\nmp_set_double should return MP_VAL for -inf"); + goto LBL_ERR; + } + if (mp_set_double(&a, +0.0/0.0) != MP_VAL) { + printf("\nmp_set_double should return MP_VAL for NaN"); + goto LBL_ERR; + } + if (mp_set_double(&a, -0.0/0.0) != MP_VAL) { + printf("\nmp_set_double should return MP_VAL for NaN"); + goto LBL_ERR; + } + + for (i = 0; i < 1000; ++i) { + int tmp = rand_int(); + double dbl = (double)tmp * rand_int() + 1; + if (mp_set_double(&a, dbl) != MP_OKAY) { + printf("\nmp_set_double() failed"); + goto LBL_ERR; + } + if (dbl != mp_get_double(&a)) { + printf("\nmp_get_double() bad result!"); + goto LBL_ERR; + } + if (mp_set_double(&a, -dbl) != MP_OKAY) { + printf("\nmp_set_double() failed"); + goto LBL_ERR; + } + if (-dbl != mp_get_double(&a)) { + printf("\nmp_get_double() bad result!"); + goto LBL_ERR; + } + } + + mp_clear_multi(&a, &b, NULL); + return EXIT_SUCCESS; +LBL_ERR: + mp_clear_multi(&a, &b, NULL); + return EXIT_FAILURE; + +} +#endif + +static int test_mp_get_u32(void) +{ + unsigned long t; + int i; + + mp_int a, b; + if (mp_init_multi(&a, &b, NULL)!= MP_OKAY) { + return EXIT_FAILURE; + } + + for (i = 0; i < 1000; ++i) { + t = (unsigned long)rand_long() & 0xFFFFFFFFuL; + mp_set_ul(&a, t); + if (t != mp_get_u32(&a)) { + printf("\nmp_get_u32() bad result!"); + goto LBL_ERR; + } + } + mp_set_ul(&a, 0uL); + if (mp_get_u32(&a) != 0) { + printf("\nmp_get_u32() bad result!"); + goto LBL_ERR; + } + mp_set_ul(&a, 0xFFFFFFFFuL); + if (mp_get_u32(&a) != 0xFFFFFFFFuL) { + printf("\nmp_get_u32() bad result!"); + goto LBL_ERR; + } + + mp_clear_multi(&a, &b, NULL); + return EXIT_SUCCESS; +LBL_ERR: + mp_clear_multi(&a, &b, NULL); + return EXIT_FAILURE; +} + +static int test_mp_get_ul(void) +{ + unsigned long s, t; + int i; + + mp_int a, b; + if (mp_init_multi(&a, &b, NULL)!= MP_OKAY) { + return EXIT_FAILURE; + } + + for (i = 0; i < ((int)MP_SIZEOF_BITS(unsigned long) - 1); ++i) { + t = (1UL << (i+1)) - 1; + if (!t) + t = ~0UL; + printf(" t = 0x%lx i = %d\r", t, i); + do { + mp_set_ul(&a, t); + s = mp_get_ul(&a); + if (s != t) { + printf("\nmp_get_ul() bad result! 0x%lx != 0x%lx", s, t); + goto LBL_ERR; + } + t <<= 1; + } while (t != 0uL); + } + + mp_clear_multi(&a, &b, NULL); + return EXIT_SUCCESS; +LBL_ERR: + mp_clear_multi(&a, &b, NULL); + return EXIT_FAILURE; +} + +static int test_mp_get_u64(void) +{ + unsigned long long q, r; + int i; + + mp_int a, b; + if (mp_init_multi(&a, &b, NULL)!= MP_OKAY) { + return EXIT_FAILURE; + } + + for (i = 0; i < (int)(MP_SIZEOF_BITS(unsigned long long) - 1); ++i) { + r = (1ULL << (i+1)) - 1; + if (!r) + r = ~0ULL; + printf(" r = 0x%llx i = %d\r", r, i); + do { + mp_set_u64(&a, r); + q = mp_get_u64(&a); + if (q != r) { + printf("\nmp_get_u64() bad result! 0x%llx != 0x%llx", q, r); + goto LBL_ERR; + } + r <<= 1; + } while (r != 0uLL); + } + + mp_clear_multi(&a, &b, NULL); + return EXIT_SUCCESS; +LBL_ERR: + mp_clear_multi(&a, &b, NULL); + return EXIT_FAILURE; + +} + +static int test_mp_sqrt(void) +{ + int i, n; + + mp_int a, b, c; + if (mp_init_multi(&a, &b, &c, NULL)!= MP_OKAY) { + return EXIT_FAILURE; + } + + for (i = 0; i < 1000; ++i) { + printf("%6d\r", i); + fflush(stdout); + n = (rand_int() & 15) + 1; + mp_rand(&a, n); + if (mp_sqrt(&a, &b) != MP_OKAY) { + printf("\nmp_sqrt() error!"); + goto LBL_ERR; + } + mp_root_u32(&a, 2uL, &c); + if (mp_cmp_mag(&b, &c) != MP_EQ) { + printf("mp_sqrt() bad result!\n"); + goto LBL_ERR; + } + } + + mp_clear_multi(&a, &b, &c, NULL); + return EXIT_SUCCESS; +LBL_ERR: + mp_clear_multi(&a, &b, &c, NULL); + return EXIT_FAILURE; +} + +static int test_mp_is_square(void) +{ + int i, n; + + mp_int a, b; + mp_bool res; + + if (mp_init_multi(&a, &b, NULL)!= MP_OKAY) { + return EXIT_FAILURE; + } + + for (i = 0; i < 1000; ++i) { + printf("%6d\r", i); + fflush(stdout); + + /* test mp_is_square false negatives */ + n = (rand_int() & 7) + 1; + mp_rand(&a, n); + mp_sqr(&a, &a); + if (mp_is_square(&a, &res) != MP_OKAY) { + printf("\nfn:mp_is_square() error!"); + goto LBL_ERR; + } + if (res == MP_NO) { + printf("\nfn:mp_is_square() bad result!"); + goto LBL_ERR; + } + + /* test for false positives */ + mp_add_d(&a, 1uL, &a); + if (mp_is_square(&a, &res) != MP_OKAY) { + printf("\nfp:mp_is_square() error!"); + goto LBL_ERR; + } + if (res == MP_YES) { + printf("\nfp:mp_is_square() bad result!"); + goto LBL_ERR; + } + + } + printf("\n\n"); + + mp_clear_multi(&a, &b, NULL); + return EXIT_SUCCESS; +LBL_ERR: + mp_clear_multi(&a, &b, NULL); + return EXIT_FAILURE; +} + +static int test_mp_sqrtmod_prime(void) +{ + struct mp_sqrtmod_prime_st { + unsigned long p; + unsigned long n; + mp_digit r; + }; + + static struct mp_sqrtmod_prime_st sqrtmod_prime[] = { + { 5, 14, 3 }, + { 7, 9, 4 }, + { 113, 2, 62 } + }; + int i; + + mp_int a, b, c; + if (mp_init_multi(&a, &b, &c, NULL)!= MP_OKAY) { + return EXIT_FAILURE; + } + + /* r^2 = n (mod p) */ + for (i = 0; i < (int)(sizeof(sqrtmod_prime)/sizeof(sqrtmod_prime[0])); ++i) { + mp_set_ul(&a, sqrtmod_prime[i].p); + mp_set_ul(&b, sqrtmod_prime[i].n); + if (mp_sqrtmod_prime(&b, &a, &c) != MP_OKAY) { + printf("Failed executing %d. mp_sqrtmod_prime\n", (i+1)); + goto LBL_ERR; + } + if (mp_cmp_d(&c, sqrtmod_prime[i].r) != MP_EQ) { + printf("Failed %d. trivial mp_sqrtmod_prime\n", (i+1)); + ndraw(&c, "r"); + goto LBL_ERR; + } + } + + mp_clear_multi(&a, &b, &c, NULL); + return EXIT_SUCCESS; +LBL_ERR: + mp_clear_multi(&a, &b, &c, NULL); + return EXIT_FAILURE; +} + +static int test_mp_prime_rand(void) +{ + int ix; + mp_err err; + mp_int a, b; + if (mp_init_multi(&a, &b, NULL)!= MP_OKAY) { + return EXIT_FAILURE; + } + + /* test for size */ + for (ix = 10; ix < 128; ix++) { + printf("Testing (not safe-prime): %9d bits \r", ix); + fflush(stdout); + err = mp_prime_rand(&a, 8, ix, (rand_int() & 1) ? 0 : MP_PRIME_2MSB_ON); + if (err != MP_OKAY) { + printf("\nfailed with error: %s\n", mp_error_to_string(err)); + goto LBL_ERR; + } + if (mp_count_bits(&a) != ix) { + printf("Prime is %d not %d bits!!!\n", mp_count_bits(&a), ix); + goto LBL_ERR; + } + } + printf("\n"); + + mp_clear_multi(&a, &b, NULL); + return EXIT_SUCCESS; +LBL_ERR: + mp_clear_multi(&a, &b, NULL); + return EXIT_FAILURE; +} + +static int test_mp_prime_is_prime(void) +{ + int ix; + mp_err err; + mp_bool cnt, fu; + + mp_int a, b; + if (mp_init_multi(&a, &b, NULL)!= MP_OKAY) { + return EXIT_FAILURE; + } + + /* strong Miller-Rabin pseudoprime to the first 200 primes (F. Arnault) */ + puts("Testing mp_prime_is_prime() with Arnault's pseudoprime 803...901 \n"); + mp_read_radix(&a, + "91xLNF3roobhzgTzoFIG6P13ZqhOVYSN60Fa7Cj2jVR1g0k89zdahO9/kAiRprpfO1VAp1aBHucLFV/qLKLFb+zonV7R2Vxp1K13ClwUXStpV0oxTNQVjwybmFb5NBEHImZ6V7P6+udRJuH8VbMEnS0H8/pSqQrg82OoQQ2fPpAk6G1hkjqoCv5s/Yr", + 64); + mp_prime_is_prime(&a, mp_prime_rabin_miller_trials(mp_count_bits(&a)), &cnt); + if (cnt == MP_YES) { + printf("Arnault's pseudoprime is not prime but mp_prime_is_prime says it is.\n"); + goto LBL_ERR; + } + /* About the same size as Arnault's pseudoprime */ + puts("Testing mp_prime_is_prime() with certified prime 2^1119 + 53\n"); + mp_set(&a, 1uL); + mp_mul_2d(&a,1119,&a); + mp_add_d(&a, 53uL, &a); + err = mp_prime_is_prime(&a, mp_prime_rabin_miller_trials(mp_count_bits(&a)), &cnt); + /* small problem */ + if (err != MP_OKAY) { + printf("\nfailed with error: %s\n", mp_error_to_string(err)); + } + /* large problem */ + if (cnt == MP_NO) { + printf("A certified prime is a prime but mp_prime_is_prime says it is not.\n"); + } + if ((err != MP_OKAY) || (cnt == MP_NO)) { + printf("prime tested was: 0x"); + mp_fwrite(&a,16,stdout); + putchar('\n'); + goto LBL_ERR; + } + for (ix = 16; ix < 128; ix++) { + printf("Testing ( safe-prime): %9d bits \r", ix); + fflush(stdout); + err = mp_prime_rand(&a, 8, ix, ((rand_int() & 1) ? 0 : MP_PRIME_2MSB_ON) | MP_PRIME_SAFE); + if (err != MP_OKAY) { + printf("\nfailed with error: %s\n", mp_error_to_string(err)); + goto LBL_ERR; + } + if (mp_count_bits(&a) != ix) { + printf("Prime is %d not %d bits!!!\n", mp_count_bits(&a), ix); + goto LBL_ERR; + } + /* let's see if it's really a safe prime */ + mp_sub_d(&a, 1uL, &b); + mp_div_2(&b, &b); + err = mp_prime_is_prime(&b, mp_prime_rabin_miller_trials(mp_count_bits(&b)), &cnt); + /* small problem */ + if (err != MP_OKAY) { + printf("\nfailed with error: %s\n", mp_error_to_string(err)); + } + /* large problem */ + if (cnt == MP_NO) { + printf("\nsub is not prime!\n"); + } + mp_prime_frobenius_underwood(&b, &fu); + if (fu == MP_NO) { + printf("\nfrobenius-underwood says sub is not prime!\n"); + } + if ((err != MP_OKAY) || (cnt == MP_NO)) { + printf("prime tested was: 0x"); + mp_fwrite(&a,16,stdout); + putchar('\n'); + printf("sub tested was: 0x"); + mp_fwrite(&b,16,stdout); + putchar('\n'); + goto LBL_ERR; + } + + } + /* Check regarding problem #143 */ +#ifndef MP_8BIT + mp_read_radix(&a, + "FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245E485B576625E7EC6F44C42E9A63A3620FFFFFFFFFFFFFFFF", + 16); + err = mp_prime_strong_lucas_selfridge(&a, &cnt); + /* small problem */ + if (err != MP_OKAY) { + printf("\nmp_prime_strong_lucas_selfridge failed with error: %s\n", mp_error_to_string(err)); + } + /* large problem */ + if (cnt == MP_NO) { + printf("\n\nissue #143 - mp_prime_strong_lucas_selfridge FAILED!\n"); + } + if ((err != MP_OKAY) || (cnt == MP_NO)) { + printf("prime tested was: 0x"); + mp_fwrite(&a,16,stdout); + putchar('\n'); + goto LBL_ERR; + } +#endif + + printf("\n\n"); + + mp_clear_multi(&a, &b, NULL); + return EXIT_SUCCESS; +LBL_ERR: + mp_clear_multi(&a, &b, NULL); + return EXIT_FAILURE; + +} + + +static int test_mp_prime_next_prime(void) +{ + mp_err err; + mp_int a, b, c; + + mp_init_multi(&a, &b, &c, NULL); + + + /* edge cases */ + mp_set(&a, 0u); + if ((err = mp_prime_next_prime(&a, 5, 0)) != MP_OKAY) { + goto LBL_ERR; + } + if (mp_cmp_d(&a, 2u) != MP_EQ) { + printf("mp_prime_next_prime: output should have been 2 but was: "); + mp_fwrite(&a,10,stdout); + putchar('\n'); + goto LBL_ERR; + } + + mp_set(&a, 0u); + if ((err = mp_prime_next_prime(&a, 5, 1)) != MP_OKAY) { + goto LBL_ERR; + } + if (mp_cmp_d(&a, 3u) != MP_EQ) { + printf("mp_prime_next_prime: output should have been 3 but was: "); + mp_fwrite(&a,10,stdout); + putchar('\n'); + goto LBL_ERR; + } + + mp_set(&a, 2u); + if ((err = mp_prime_next_prime(&a, 5, 0)) != MP_OKAY) { + goto LBL_ERR; + } + if (mp_cmp_d(&a, 3u) != MP_EQ) { + printf("mp_prime_next_prime: output should have been 3 but was: "); + mp_fwrite(&a,10,stdout); + putchar('\n'); + goto LBL_ERR; + } + + mp_set(&a, 2u); + if ((err = mp_prime_next_prime(&a, 5, 1)) != MP_OKAY) { + goto LBL_ERR; + } + if (mp_cmp_d(&a, 3u) != MP_EQ) { + printf("mp_prime_next_prime: output should have been 3 but was: "); + mp_fwrite(&a,10,stdout); + putchar('\n'); + goto LBL_ERR; + } + mp_set(&a, 8); + if ((err = mp_prime_next_prime(&a, 5, 1)) != MP_OKAY) { + goto LBL_ERR; + } + if (mp_cmp_d(&a, 11u) != MP_EQ) { + printf("mp_prime_next_prime: output should have been 11 but was: "); + mp_fwrite(&a,10,stdout); + putchar('\n'); + goto LBL_ERR; + } + /* 2^300 + 157 is a 300 bit large prime to guarantee a multi-limb bigint */ + if ((err = mp_2expt(&a, 300)) != MP_OKAY) { + goto LBL_ERR; + } + mp_set_u32(&b, 157); + if ((err = mp_add(&a, &b, &a)) != MP_OKAY) { + goto LBL_ERR; + } + if ((err = mp_copy(&a, &b)) != MP_OKAY) { + goto LBL_ERR; + } + + /* 2^300 + 385 is the next prime */ + mp_set_u32(&c, 228); + if ((err = mp_add(&b, &c, &b)) != MP_OKAY) { + goto LBL_ERR; + } + if ((err = mp_prime_next_prime(&a, 5, 0)) != MP_OKAY) { + goto LBL_ERR; + } + if (mp_cmp(&a, &b) != MP_EQ) { + printf("mp_prime_next_prime: output should have been\n"); + mp_fwrite(&b,10,stdout); + putchar('\n'); + printf("but was:\n"); + mp_fwrite(&a,10,stdout); + putchar('\n'); + goto LBL_ERR; + } + + /* Use another temporary variable or recompute? Mmh... */ + if ((err = mp_2expt(&a, 300)) != MP_OKAY) { + goto LBL_ERR; + } + mp_set_u32(&b, 157); + if ((err = mp_add(&a, &b, &a)) != MP_OKAY) { + goto LBL_ERR; + } + if ((err = mp_copy(&a, &b)) != MP_OKAY) { + goto LBL_ERR; + } + + /* 2^300 + 631 is the next prime congruent to 3 mod 4*/ + mp_set_u32(&c, 474); + if ((err = mp_add(&b, &c, &b)) != MP_OKAY) { + goto LBL_ERR; + } + if ((err = mp_prime_next_prime(&a, 5, 1)) != MP_OKAY) { + goto LBL_ERR; + } + if (mp_cmp(&a, &b) != MP_EQ) { + printf("mp_prime_next_prime (bbs): output should have been\n"); + mp_fwrite(&b,10,stdout); + putchar('\n'); + printf("but was:\n"); + mp_fwrite(&a,10,stdout); + putchar('\n'); + goto LBL_ERR; + } + + mp_clear_multi(&a, &b, &c, NULL); + return EXIT_SUCCESS; +LBL_ERR: + mp_clear_multi(&a, &b, &c, NULL); + return EXIT_FAILURE; +} + +static int test_mp_montgomery_reduce(void) +{ + mp_digit mp; + int ix, i, n; + char buf[4096]; + + /* size_t written; */ + + mp_int a, b, c, d, e; + if (mp_init_multi(&a, &b, &c, &d, &e, NULL)!= MP_OKAY) { + return EXIT_FAILURE; + } + + /* test montgomery */ + for (i = 1; i <= 10; i++) { + if (i == 10) + i = 1000; + printf(" digit size: %2d\r", i); + fflush(stdout); + 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_int()) % (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) { +/* *INDENT-OFF* */ + printf("d = e mod a, c = e MOD a\n"); + mp_to_decimal(&a, buf, sizeof(buf)); printf("a = %s\n", buf); + mp_to_decimal(&e, buf, sizeof(buf)); printf("e = %s\n", buf); + mp_to_decimal(&d, buf, sizeof(buf)); printf("d = %s\n", buf); + mp_to_decimal(&c, buf, sizeof(buf)); printf("c = %s\n", buf); + + printf("compare no compare!\n"); goto LBL_ERR; +/* *INDENT-ON* */ + } + /* only one big montgomery reduction */ + if (i > 10) { + n = 1000; + ix = 100; + } + } + } + } + + printf("\n\n"); + + mp_clear_multi(&a, &b, &c, &d, &e, NULL); + return EXIT_SUCCESS; +LBL_ERR: + mp_clear_multi(&a, &b, &c, &d, &e, NULL); + return EXIT_FAILURE; + +} + +static int test_mp_read_radix(void) +{ + char buf[4096]; + size_t written; + mp_err err; + + mp_int a; + if (mp_init_multi(&a, NULL)!= MP_OKAY) goto LTM_ERR; + + if ((err = mp_read_radix(&a, "123456", 10)) != MP_OKAY) goto LTM_ERR; + + if ((err = mp_to_radix(&a, buf, SIZE_MAX, &written, 10)) != MP_OKAY) goto LTM_ERR; + printf(" '123456' a == %s, length = %zu\n", buf, written); + + /* See comment in bn_mp_to_radix.c */ + /* + if( (err = mp_to_radix(&a, buf, 3u, &written, 10) ) != MP_OKAY) goto LTM_ERR; + printf(" '56' a == %s, length = %zu\n", buf, written); + + if( (err = mp_to_radix(&a, buf, 4u, &written, 10) ) != MP_OKAY) goto LTM_ERR; + printf(" '456' a == %s, length = %zu\n", buf, written); + if( (err = mp_to_radix(&a, buf, 30u, &written, 10) ) != MP_OKAY) goto LTM_ERR; + printf(" '123456' a == %s, length = %zu, error = %s\n", + buf, written, mp_error_to_string(err)); + */ + if ((err = mp_read_radix(&a, "-123456", 10)) != MP_OKAY) goto LTM_ERR; + if ((err = mp_to_radix(&a, buf, SIZE_MAX, &written, 10)) != MP_OKAY) goto LTM_ERR; + printf(" '-123456' a == %s, length = %zu\n", buf, written); + + if ((err = mp_read_radix(&a, "0", 10)) != MP_OKAY) goto LTM_ERR; + if ((err = mp_to_radix(&a, buf, SIZE_MAX, &written, 10)) != MP_OKAY) goto LTM_ERR; + printf(" '0' a == %s, length = %zu\n", buf, written); + + + + /* Although deprecated it needs to function as long as it isn't dropped */ + /* + printf("Testing deprecated mp_toradix_n\n"); + if( (err = mp_read_radix(&a, "-123456", 10) ) != MP_OKAY) goto LTM_ERR; + if( (err = mp_toradix_n(&a, buf, 10, 3) ) != MP_OKAY) goto LTM_ERR; + printf("a == %s\n", buf); + if( (err = mp_toradix_n(&a, buf, 10, 4) ) != MP_OKAY) goto LTM_ERR; + printf("a == %s\n", buf); + if( (err = mp_toradix_n(&a, buf, 10, 30) ) != MP_OKAY) goto LTM_ERR; + printf("a == %s\n", buf); + */ + + + while (0) { + char *s = fgets(buf, sizeof(buf), stdin); + if (s != buf) break; + mp_read_radix(&a, buf, 10); + mp_prime_next_prime(&a, 5, 1); + mp_to_radix(&a, buf, sizeof(buf), NULL, 10); + printf("%s, %lu\n", buf, (unsigned long)a.dp[0] & 3uL); + } + + mp_clear(&a); + return EXIT_SUCCESS; +LTM_ERR: + mp_clear(&a); + return EXIT_FAILURE; +} + +static int test_mp_cnt_lsb(void) +{ + int ix; + + mp_int a, b; + if (mp_init_multi(&a, &b, NULL)!= MP_OKAY) { + return EXIT_FAILURE; + } + + mp_set(&a, 1uL); + for (ix = 0; ix < 1024; ix++) { + if (mp_cnt_lsb(&a) != ix) { + printf("Failed at %d, %d\n", ix, mp_cnt_lsb(&a)); + goto LBL_ERR; + } + mp_mul_2(&a, &a); + } + + mp_clear_multi(&a, &b, NULL); + return EXIT_SUCCESS; +LBL_ERR: + mp_clear_multi(&a, &b, NULL); + return EXIT_FAILURE; + +} + +static int test_mp_reduce_2k(void) +{ + int ix, cnt; + + mp_int a, b, c, d; + if (mp_init_multi(&a, &b, &c, &d, NULL)!= MP_OKAY) { + return EXIT_FAILURE; + } + + /* test mp_reduce_2k */ + for (cnt = 3; cnt <= 128; ++cnt) { + mp_digit tmp; + + mp_2expt(&a, cnt); + mp_sub_d(&a, 2uL, &a); /* a = 2**cnt - 2 */ + + printf("\r %4d bits", cnt); + printf("(%d)", mp_reduce_is_2k(&a)); + mp_reduce_2k_setup(&a, &tmp); + printf("(%lu)", (unsigned long) tmp); + for (ix = 0; ix < 1000; ix++) { + if (!(ix & 127)) { + printf("."); + fflush(stdout); + } + mp_rand(&b, (cnt / MP_DIGIT_BIT + 1) * 2); + mp_copy(&c, &b); + mp_mod(&c, &a, &c); + mp_reduce_2k(&b, &a, 2uL); + if (mp_cmp(&c, &b) != MP_EQ) { + printf("FAILED\n"); + goto LBL_ERR; + } + } + } + + mp_clear_multi(&a, &b, &c, &d, NULL); + return EXIT_SUCCESS; +LBL_ERR: + mp_clear_multi(&a, &b, &c, &d, NULL); + return EXIT_FAILURE; +} + +static int test_mp_div_3(void) +{ + int cnt; + + mp_int a, b, c, d, e; + if (mp_init_multi(&a, &b, &c, &d, &e, NULL)!= MP_OKAY) { + return EXIT_FAILURE; + } + + /* test mp_div_3 */ + mp_set(&d, 3uL); + for (cnt = 0; cnt < 10000;) { + mp_digit r2; + + if (!(++cnt & 127)) { + printf("%9d\r", cnt); + fflush(stdout); + } + mp_rand(&a, abs(rand_int()) % 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("\nmp_div_3 => Failure\n"); + goto LBL_ERR; + } + } + printf("\nPassed div_3 testing"); + + mp_clear_multi(&a, &b, &c, &d, &e, NULL); + return EXIT_SUCCESS; +LBL_ERR: + mp_clear_multi(&a, &b, &c, &d, &e, NULL); + return EXIT_FAILURE; +} + +static int test_mp_dr_reduce(void) +{ + mp_digit mp; + int cnt; + unsigned rr; + int ix; + + mp_int a, b, c; + if (mp_init_multi(&a, &b, &c, NULL)!= MP_OKAY) { + return EXIT_FAILURE; + } + + /* test the DR reduction */ + for (cnt = 2; cnt < 32; cnt++) { + printf("\r%d digit modulus", 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("."); + fflush(stdout); + } + mp_sqr(&b, &b); + mp_add_d(&b, 1uL, &b); + mp_copy(&b, &c); + + mp_mod(&b, &a, &b); + mp_dr_setup(&a, &mp); + mp_dr_reduce(&c, &a, mp); + + if (mp_cmp(&b, &c) != MP_EQ) { + printf("Failed on trial %u\n", rr); + goto LBL_ERR; + } + } while (++rr < 500); + printf(" passed"); + fflush(stdout); + } + + mp_clear_multi(&a, &b, &c, NULL); + return EXIT_SUCCESS; +LBL_ERR: + mp_clear_multi(&a, &b, &c, NULL); + return EXIT_FAILURE; +} + +static int test_mp_reduce_2k_l(void) +{ +# if LTM_DEMO_TEST_REDUCE_2K_L + mp_int a, b, c, d; + int cnt; + char buf[4096]; + size_t length[1]; + if (mp_init_multi(&a, &b, NULL)!= MP_OKAY) { + return EXIT_FAILURE; + } + /* test the mp_reduce_2k_l code */ +# if LTM_DEMO_TEST_REDUCE_2K_L == 1 + /* 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 LTM_DEMO_TEST_REDUCE_2K_L == 2 + /* 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); +# else +# error oops +# endif + *length = sizeof(buf); + mp_to_radix(&a, buf, length, 10); + printf("\n\np==%s, length = %zu\n", buf, *length); + /* 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"); + goto LBL_ERR; + } + 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 < (int)(1uL << 20); cnt++) { + mp_sqr(&b, &b); + mp_add_d(&b, 1uL, &b); + mp_reduce_2k_l(&b, &a, &d); + mp_sqr(&c, &c); + mp_add_d(&c, 1uL, &c); + mp_mod(&c, &a, &c); + if (mp_cmp(&b, &c) != MP_EQ) { + printf("mp_reduce_2k_l() failed at step %d\n", cnt); + mp_to_hex(&b, buf, sizeof(buf)); + printf("b == %s\n", buf); + mp_to_hex(&c, buf, sizeof(buf)); + printf("c == %s\n", buf); + goto LBL_ERR; + } + } + + mp_clear_multi(&a, &b, NULL); + return EXIT_SUCCESS; +LBL_ERR: + mp_clear_multi(&a, &b, NULL); + return EXIT_FAILURE; +#else + return EXIT_SUCCESS; +# endif /* LTM_DEMO_TEST_REDUCE_2K_L */ +} +/* stripped down version of mp_radix_size. The faster version can be off by up t +o +3 */ +/* TODO: This function should be removed, replaced by mp_radix_size, mp_radix_size_overestimate in 2.0 */ +static mp_err s_rs(const mp_int *a, int radix, uint32_t *size) +{ + mp_err res; + uint32_t digs = 0u; + mp_int t; + mp_digit d; + *size = 0u; + if (mp_iszero(a) == MP_YES) { + *size = 2u; + return MP_OKAY; + } + if (radix == 2) { + *size = (uint32_t)mp_count_bits(a) + 1u; + return MP_OKAY; + } + if ((res = mp_init_copy(&t, a)) != MP_OKAY) { + return res; + } + t.sign = MP_ZPOS; + while (mp_iszero(&t) == MP_NO) { + if ((res = mp_div_d(&t, (mp_digit)radix, &t, &d)) != MP_OKAY) { + mp_clear(&t); + return res; + } + ++digs; + } + mp_clear(&t); + *size = digs + 1; + return MP_OKAY; +} +static int test_mp_log_u32(void) +{ + mp_int a; + mp_digit d; + uint32_t base, lb, size; + const uint32_t max_base = MP_MIN(UINT32_MAX, MP_DIGIT_MAX); + + if (mp_init(&a) != MP_OKAY) { + goto LBL_ERR; + } + + /* + base a result + 0 x MP_VAL + 1 x MP_VAL + */ + mp_set(&a, 42uL); + base = 0u; + if (mp_log_u32(&a, base, &lb) != MP_VAL) { + goto LBL_ERR; + } + base = 1u; + if (mp_log_u32(&a, base, &lb) != MP_VAL) { + goto LBL_ERR; + } + /* + base a result + 2 0 MP_VAL + 2 1 0 + 2 2 1 + 2 3 1 + */ + base = 2u; + mp_zero(&a); + if (mp_log_u32(&a, base, &lb) != MP_VAL) { + goto LBL_ERR; + } + + for (d = 1; d < 4; d++) { + mp_set(&a, d); + if (mp_log_u32(&a, base, &lb) != MP_OKAY) { + goto LBL_ERR; + } + if (lb != ((d == 1)?0uL:1uL)) { + goto LBL_ERR; + } + } + /* + base a result + 3 0 MP_VAL + 3 1 0 + 3 2 0 + 3 3 1 + */ + base = 3u; + mp_zero(&a); + if (mp_log_u32(&a, base, &lb) != MP_VAL) { + goto LBL_ERR; + } + for (d = 1; d < 4; d++) { + mp_set(&a, d); + if (mp_log_u32(&a, base, &lb) != MP_OKAY) { + goto LBL_ERR; + } + if (lb != ((d < base)?0uL:1uL)) { + goto LBL_ERR; + } + } + + /* + bases 2..64 with "a" a random large constant. + The range of bases tested allows to check with + radix_size. + */ + if (mp_rand(&a, 10) != MP_OKAY) { + goto LBL_ERR; + } + for (base = 2u; base < 65u; base++) { + if (mp_log_u32(&a, base, &lb) != MP_OKAY) { + goto LBL_ERR; + } + if (s_rs(&a,(int)base, &size) != MP_OKAY) { + goto LBL_ERR; + } + /* radix_size includes the memory needed for '\0', too*/ + size -= 2; + if (lb != size) { + goto LBL_ERR; + } + } + + /* + bases 2..64 with "a" a random small constant to + test the part of mp_ilogb that uses native types. + */ + if (mp_rand(&a, 1) != MP_OKAY) { + goto LBL_ERR; + } + for (base = 2u; base < 65u; base++) { + if (mp_log_u32(&a, base, &lb) != MP_OKAY) { + goto LBL_ERR; + } + if (s_rs(&a,(int)base, &size) != MP_OKAY) { + goto LBL_ERR; + } + size -= 2; + if (lb != size) { + goto LBL_ERR; + } + } + + /*Test upper edgecase with base UINT32_MAX and number (UINT32_MAX/2)*UINT32_MAX^10 */ + mp_set(&a, max_base); + if (mp_expt_u32(&a, 10uL, &a) != MP_OKAY) { + goto LBL_ERR; + } + if (mp_add_d(&a, max_base / 2, &a) != MP_OKAY) { + goto LBL_ERR; + } + if (mp_log_u32(&a, max_base, &lb) != MP_OKAY) { + goto LBL_ERR; + } + if (lb != 10u) { + goto LBL_ERR; + } + + mp_clear(&a); + return EXIT_SUCCESS; +LBL_ERR: + mp_clear(&a); + return EXIT_FAILURE; +} + +static int test_mp_incr(void) +{ + mp_int a, b; + mp_err e = MP_OKAY; + + if ((e = mp_init_multi(&a, &b, NULL)) != MP_OKAY) { + goto LTM_ERR; + } + + /* Does it increment inside the limits of a MP_xBIT limb? */ + mp_set(&a, MP_MASK/2); + if ((e = mp_incr(&a)) != MP_OKAY) { + goto LTM_ERR; + } + if (mp_cmp_d(&a, (MP_MASK/2uL) + 1uL) != MP_EQ) { + goto LTM_ERR; + } + + /* Does it increment outside of the limits of a MP_xBIT limb? */ + mp_set(&a, MP_MASK); + mp_set(&b, MP_MASK); + if ((e = mp_incr(&a)) != MP_OKAY) { + goto LTM_ERR; + } + if ((e = mp_add_d(&b, 1uL, &b)) != MP_OKAY) { + goto LTM_ERR; + } + if (mp_cmp(&a, &b) != MP_EQ) { + goto LTM_ERR; + } + + /* Does it increment from -1 to 0? */ + mp_set(&a, 1uL); + a.sign = MP_NEG; + if ((e = mp_incr(&a)) != MP_OKAY) { + goto LTM_ERR; + } + if (mp_cmp_d(&a, 0uL) != MP_EQ) { + goto LTM_ERR; + } + + /* Does it increment from -(MP_MASK + 1) to -MP_MASK? */ + mp_set(&a, MP_MASK); + if ((e = mp_add_d(&a, 1uL, &a)) != MP_OKAY) { + goto LTM_ERR; + } + a.sign = MP_NEG; + if ((e = mp_incr(&a)) != MP_OKAY) { + goto LTM_ERR; + } + if (a.sign != MP_NEG) { + goto LTM_ERR; + } + a.sign = MP_ZPOS; + if (mp_cmp_d(&a, MP_MASK) != MP_EQ) { + goto LTM_ERR; + } + + mp_clear_multi(&a, &b, NULL); + return EXIT_SUCCESS; +LTM_ERR: + mp_clear_multi(&a, &b, NULL); + return EXIT_FAILURE; +} + +static int test_mp_decr(void) +{ + mp_int a, b; + mp_err e = MP_OKAY; + + if ((e = mp_init_multi(&a, &b, NULL)) != MP_OKAY) { + goto LTM_ERR; + } + + /* Does it decrement inside the limits of a MP_xBIT limb? */ + mp_set(&a, MP_MASK/2); + if ((e = mp_decr(&a)) != MP_OKAY) { + goto LTM_ERR; + } + if (mp_cmp_d(&a, (MP_MASK/2uL) - 1uL) != MP_EQ) { + goto LTM_ERR; + } + + /* Does it decrement outside of the limits of a MP_xBIT limb? */ + mp_set(&a, MP_MASK); + if ((e = mp_add_d(&a, 1uL, &a)) != MP_OKAY) { + goto LTM_ERR; + } + if ((e = mp_decr(&a)) != MP_OKAY) { + goto LTM_ERR; + } + if (mp_cmp_d(&a, MP_MASK) != MP_EQ) { + goto LTM_ERR; + } + + /* Does it decrement from 0 to -1? */ + mp_zero(&a); + if ((e = mp_decr(&a)) != MP_OKAY) { + goto LTM_ERR; + } + if (a.sign == MP_NEG) { + a.sign = MP_ZPOS; + if (mp_cmp_d(&a, 1uL) != MP_EQ) { + goto LTM_ERR; + } + } else { + goto LTM_ERR; + } + + + /* Does it decrement from -MP_MASK to -(MP_MASK + 1)? */ + mp_set(&a, MP_MASK); + a.sign = MP_NEG; + mp_set(&b, MP_MASK); + b.sign = MP_NEG; + if ((e = mp_sub_d(&b, 1uL, &b)) != MP_OKAY) { + goto LTM_ERR; + } + if ((e = mp_decr(&a)) != MP_OKAY) { + goto LTM_ERR; + } + if (mp_cmp(&a, &b) != MP_EQ) { + goto LTM_ERR; + } + + mp_clear_multi(&a, &b, NULL); + return EXIT_SUCCESS; +LTM_ERR: + mp_clear_multi(&a, &b, NULL); + return EXIT_FAILURE; +} + +/* + Cannot test mp_exp(_d) without mp_root and vice versa. + So one of the two has to be tested from scratch. + + Numbers generated by + for i in {1..10} + do + seed=$(head -c 10000 /dev/urandom | tr -dc '[:digit:]' | head -c 120); + echo $seed; + convertbase $seed 10 64; + done + + (The program "convertbase" uses libtommath's to/from_radix functions) + + Roots were precalculated with Pari/GP + + default(realprecision,1000); + for(n=3,100,r = floor(a^(1/n));printf("\"" r "\", ")) + + All numbers as strings to simplifiy things, especially for the + low-mp branch. +*/ + +static int test_mp_root_u32(void) +{ + mp_int a, c, r; + mp_err e; + int i, j; + + const char *input[] = { + "4n9cbk886QtLQmofprid3l2Q0GD8Yv979Lh8BdZkFE8g2pDUUSMBET/+M/YFyVZ3mBp", + "5NlgzHhmIX05O5YoW5yW5reAlVNtRAlIcN2dfoATnNdc1Cw5lHZUTwNthmK6/ZLKfY6", + "3gweiHDX+ji5utraSe46IJX+uuh7iggs63xIpMP5MriU4Np+LpHI5are8RzS9pKh9xP", + "5QOJUSKMrfe7LkeyJOlupS8h7bjT+TXmZkDzOjZtfj7mdA7cbg0lRX3CuafhjIrpK8S", + "4HtYFldVkyVbrlg/s7kmaA7j45PvLQm+1bbn6ehgP8tVoBmGbv2yDQI1iQQze4AlHyN", + "3bwCUx79NAR7c68OPSp5ZabhZ9aBEr7rWNTO2oMY7zhbbbw7p6shSMxqE9K9nrTNucf", + "4j5RGb78TfuYSzrXn0z6tiAoWiRI81hGY3el9AEa9S+gN4x/AmzotHT2Hvj6lyBpE7q", + "4lwg30SXqZhEHNsl5LIXdyu7UNt0VTWebP3m7+WUL+hsnFW9xJe7UnzYngZsvWh14IE", + "1+tcqFeRuGqjRADRoRUJ8gL4UUSFQVrVVoV6JpwVcKsuBq5G0pABn0dLcQQQMViiVRj", + "hXwxuFySNSFcmbrs/coz4FUAaUYaOEt+l4V5V8vY71KyBvQPxRq/6lsSrG2FHvWDax" + }; + /* roots 3-100 of the above */ + const char *root[10][100] = { + { + "9163694094944489658600517465135586130944", + "936597377180979771960755204040", "948947857956884030956907", + "95727185767390496595", "133844854039712620", "967779611885360", + "20926191452627", "974139547476", "79203891950", "9784027073", + "1667309744", "365848129", "98268452", "31109156", "11275351", + "4574515", "2040800", "986985", "511525", "281431", "163096", + "98914", "62437", "40832", "27556", "19127", "13614", "9913", + "7367", "5577", "4294", "3357", "2662", "2138", "1738", "1428", + "1185", "993", "839", "715", "613", "530", "461", "403", "355", + "314", "279", "249", "224", "202", "182", "166", "151", "138", + "126", "116", "107", "99", "92", "85", "79", "74", "69", "65", "61", + "57", "54", "51", "48", "46", "43", "41", "39", "37", "36", "34", + "32", "31", "30", "28", "27", "26", "25", "24", "23", "23", "22", + "21", "20", "20", "19", "18", "18", "17", "17", "16", "16", "15" + }, { + "9534798256755061606359588498764080011382", + "964902943621813525741417593772", "971822399862464674540423", + "97646291566833512831", "136141536090599560", "982294733581430", + "21204945933335", "985810529393", "80066084985", "9881613813", + "1682654547", "368973625", "99051783", "31341581", "11354620", + "4604882", "2053633", "992879", "514434", "282959", "163942", + "99406", "62736", "41020", "27678", "19208", "13670", "9952", + "7395", "5598", "4310", "3369", "2671", "2145", "1744", "1433", + "1189", "996", "842", "717", "615", "531", "462", "404", "356", + "315", "280", "250", "224", "202", "183", "166", "151", "138", + "127", "116", "107", "99", "92", "85", "80", "74", "70", "65", "61", + "58", "54", "51", "48", "46", "43", "41", "39", "37", "36", "34", + "32", "31", "30", "29", "27", "26", "25", "24", "23", "23", "22", + "21", "20", "20", "19", "18", "18", "17", "17", "16", "16", "15" + }, { + "8398539113202579297642815367509019445624", + "877309458945432597462853440936", "900579899458998599215071", + "91643543761699761637", "128935656335800903", "936647990947203", + "20326748623514", "948988882684", "77342677787", "9573063447", + "1634096832", "359076114", "96569670", "30604705", "11103188", + "4508519", "2012897", "974160", "505193", "278105", "161251", + "97842", "61788", "40423", "27291", "18949", "13492", "9826", + "7305", "5532", "4260", "3332", "2642", "2123", "1726", "1418", + "1177", "986", "834", "710", "610", "527", "458", "401", "353", + "312", "278", "248", "223", "201", "181", "165", "150", "137", + "126", "116", "107", "99", "91", "85", "79", "74", "69", "65", "61", + "57", "54", "51", "48", "46", "43", "41", "39", "37", "35", "34", + "32", "31", "30", "28", "27", "26", "25", "24", "23", "22", "22", + "21", "20", "20", "19", "18", "18", "17", "17", "16", "16", "15" + }, { + "9559098494021810340217797724866627755195", + "966746709063325235560830083787", "973307706084821682248292", + "97770642291138756434", "136290128605981259", "983232784778520", + "21222944848922", "986563584410", "80121684894", "9887903837", + "1683643206", "369174929", "99102220", "31356542", "11359721", + "4606836", "2054458", "993259", "514621", "283057", "163997", + "99437", "62755", "41032", "27686", "19213", "13674", "9955", + "7397", "5599", "4311", "3370", "2672", "2146", "1744", "1433", + "1189", "996", "842", "717", "615", "532", "462", "404", "356", + "315", "280", "250", "224", "202", "183", "166", "151", "138", + "127", "116", "107", "99", "92", "86", "80", "74", "70", "65", "61", + "58", "54", "51", "48", "46", "43", "41", "39", "37", "36", "34", + "32", "31", "30", "29", "27", "26", "25", "24", "23", "23", "22", + "21", "20", "20", "19", "18", "18", "17", "17", "16", "16", "15" + }, { + "8839202025813295923132694443541993309220", + "911611499784863252820288596270", "928640961450376817534853", + "94017030509441723821", "131792686685970629", "954783483196511", + "20676214073400", "963660189823", "78428929840", "9696237956", + "1653495486", "363032624", "97562430", "30899570", "11203842", + "4547110", "2029216", "981661", "508897", "280051", "162331", + "98469", "62168", "40663", "27446", "19053", "13563", "9877", + "7341", "5558", "4280", "3347", "2654", "2132", "1733", "1424", + "1182", "990", "837", "713", "612", "529", "460", "402", "354", + "313", "279", "249", "223", "201", "182", "165", "150", "138", + "126", "116", "107", "99", "92", "85", "79", "74", "69", "65", "61", + "57", "54", "51", "48", "46", "43", "41", "39", "37", "36", "34", + "32", "31", "30", "28", "27", "26", "25", "24", "23", "23", "22", + "21", "20", "20", "19", "18", "18", "17", "17", "16", "16", "15" + }, { + "8338442683973420410660145045849076963795", + "872596990706967613912664152945", "896707843885562730147307", + "91315073695274540969", "128539440806486007", "934129001105825", + "20278149285734", "946946589774", "77191347471", "9555892093", + "1631391010", "358523975", "96431070", "30563524", "11089126", + "4503126", "2010616", "973111", "504675", "277833", "161100", + "97754", "61734", "40390", "27269", "18934", "13482", "9819", + "7300", "5528", "4257", "3330", "2641", "2122", "1725", "1417", + "1177", "986", "833", "710", "609", "527", "458", "401", "353", + "312", "278", "248", "222", "200", "181", "165", "150", "137", + "126", "116", "107", "99", "91", "85", "79", "74", "69", "65", "61", + "57", "54", "51", "48", "46", "43", "41", "39", "37", "35", "34", + "32", "31", "30", "28", "27", "26", "25", "24", "23", "22", "22", + "21", "20", "20", "19", "18", "18", "17", "17", "16", "16", "15" + }, { + "9122818552483814953977703257848970704164", + "933462289569511464780529972314", "946405863353935713909178", + "95513446972056321834", "133588658082928446", + "966158521967027", "20895030642048", "972833934108", + "79107381638", "9773098125", "1665590516", "365497822", + "98180628", "31083090", "11266459", "4571108", "2039360", + "986323", "511198", "281260", "163001", "98858", + "62404", "40811", "27543", "19117", "13608", "9908", + "7363", "5575", "4292", "3356", "2661", "2138", + "1737", "1428", "1185", "993", "839", "714", "613", + "530", "461", "403", "355", "314", "279", "249", + "224", "202", "182", "165", "151", "138", "126", + "116", "107", "99", "92", "85", "79", "74", "69", + "65", "61", "57", "54", "51", "48", "46", "43", + "41", "39", "37", "36", "34", "32", "31", "30", + "28", "27", "26", "25", "24", "23", "23", "22", + "21", "20", "20", "19", "18", "18", "17", "17", + "16", "16", "15" + }, { + "9151329724083804100369546479681933027521", + "935649419557299174433860420387", "948179413831316112751907", + "95662582675170358900", "133767426788182384", + "967289728859610", "20916775466497", "973745045600", + "79174731802", "9780725058", "1666790321", "365742295", + "98241919", "31101281", "11272665", "4573486", "2040365", + "986785", "511426", "281380", "163067", "98897", + "62427", "40826", "27552", "19124", "13612", "9911", + "7366", "5576", "4294", "3357", "2662", "2138", + "1738", "1428", "1185", "993", "839", "715", "613", + "530", "461", "403", "355", "314", "279", "249", + "224", "202", "182", "165", "151", "138", "126", + "116", "107", "99", "92", "85", "79", "74", "69", + "65", "61", "57", "54", "51", "48", "46", "43", + "41", "39", "37", "36", "34", "32", "31", "30", + "28", "27", "26", "25", "24", "23", "23", "22", + "21", "20", "20", "19", "18", "18", "17", "17", + "16", "16", "15" + }, { + "6839396355168045468586008471269923213531", + "752078770083218822016981965090", "796178899357307807726034", + "82700643015444840424", "118072966296549115", + "867224751770392", "18981881485802", "892288574037", + "73130030771", "9093989389", "1558462688", "343617470", + "92683740", "29448679", "10708016", "4356820", "1948676", + "944610", "490587", "270425", "156989", "95362", + "60284", "39477", "26675", "18536", "13208", "9627", + "7161", "5426", "4181", "3272", "2596", "2087", + "1697", "1395", "1159", "971", "821", "700", "601", + "520", "452", "396", "348", "308", "274", "245", + "220", "198", "179", "163", "148", "136", "124", + "114", "106", "98", "91", "84", "78", "73", "68", + "64", "60", "57", "53", "50", "48", "45", "43", + "41", "39", "37", "35", "34", "32", "31", "29", + "28", "27", "26", "25", "24", "23", "22", "22", + "21", "20", "19", "19", "18", "18", "17", "17", + "16", "16", "15" + }, { + "4788090721380022347683138981782307670424", + "575601315594614059890185238256", "642831903229558719812840", + "69196031110028430211", "101340693763170691", + "758683936560287", "16854690815260", "801767985909", + "66353290503", "8318415180", "1435359033", "318340531", + "86304307", "27544217", "10054988", "4105446", "1841996", + "895414", "466223", "257591", "149855", "91205", + "57758", "37886", "25639", "17842", "12730", "9290", + "6918", "5248", "4048", "3170", "2518", "2026", + "1649", "1357", "1128", "946", "800", "682", "586", + "507", "441", "387", "341", "302", "268", "240", + "215", "194", "176", "160", "146", "133", "122", + "112", "104", "96", "89", "83", "77", "72", "67", + "63", "59", "56", "53", "50", "47", "45", "42", + "40", "38", "36", "35", "33", "32", "30", "29", + "28", "27", "26", "25", "24", "23", "22", "21", + "21", "20", "19", "19", "18", "17", "17", "16", + "16", "15", "15" + } + }; + + if ((e = mp_init_multi(&a, &c, &r, NULL)) != MP_OKAY) { + return EXIT_FAILURE; + } +#ifdef MP_8BIT + for (i = 0; i < 1; i++) { +#else + for (i = 0; i < 10; i++) { +#endif + mp_read_radix(&a, input[i], 64); +#ifdef MP_8BIT + for (j = 3; j < 10; j++) { +#else + for (j = 3; j < 100; j++) { +#endif + mp_root_u32(&a, (uint32_t)j, &c); + mp_read_radix(&r, root[i][j-3], 10); + if (mp_cmp(&r, &c) != MP_EQ) { + fprintf(stderr, "mp_root_u32 failed at input #%d, root #%d\n", i, j); + goto LTM_ERR; + } + } + } + mp_clear_multi(&a, &c, &r, NULL); + return EXIT_SUCCESS; +LTM_ERR: + mp_clear_multi(&a, &c, &r, NULL); + return EXIT_FAILURE; +} + +static int test_s_mp_balance_mul(void) +{ + mp_int a, b, c; + mp_err e = MP_OKAY; + + const char *na = + "4b0I5uMTujCysw+1OOuOyH2FX2WymrHUqi8BBDb7XpkV/4i7vXTbEYUy/kdIfCKu5jT5JEqYkdmnn3jAYo8XShPzNLxZx9yoLjxYRyptSuOI2B1DspvbIVYXY12sxPZ4/HCJ4Usm2MU5lO/006KnDMxuxiv1rm6YZJZ0eZU"; + const char *nb = "3x9vs0yVi4hIq7poAeVcggC3WoRt0zRLKO"; + const char *nc = + "HzrSq9WVt1jDTVlwUxSKqxctu2GVD+N8+SVGaPFRqdxyld6IxDBbj27BPJzYUdR96k3sWpkO8XnDBvupGPnehpQe4KlO/KmN1PjFov/UTZYM+LYzkFcBPyV6hkkL8ePC1rlFLAHzgJMBCXVp4mRqtkQrDsZXXlcqlbTFu69wF6zDEysiX2cAtn/kP9ldblJiwYPCD8hG"; + + if ((e = mp_init_multi(&a, &b, &c, NULL)) != MP_OKAY) { + goto LTM_ERR; + } + + if ((e = mp_read_radix(&a, na, 64)) != MP_OKAY) { + goto LTM_ERR; + } + if ((e = mp_read_radix(&b, nb, 64)) != MP_OKAY) { + goto LTM_ERR; + } + + if ((e = s_mp_balance_mul(&a, &b, &c)) != MP_OKAY) { + goto LTM_ERR; + } + + if ((e = mp_read_radix(&b, nc, 64)) != MP_OKAY) { + goto LTM_ERR; + } + + if (mp_cmp(&b, &c) != MP_EQ) { + goto LTM_ERR; + } + + mp_clear_multi(&a, &b, &c, NULL); + return EXIT_SUCCESS; +LTM_ERR: + mp_clear_multi(&a, &b, &c, NULL); + return EXIT_FAILURE; +} + +#define s_mp_mul(a, b, c) s_mp_mul_digs(a, b, c, (a)->used + (b)->used + 1) +static int test_s_mp_karatsuba_mul(void) +{ + mp_int a, b, c, d; + int size, err; + + if ((err = mp_init_multi(&a, &b, &c, &d, NULL)) != MP_OKAY) { + goto LTM_ERR; + } + for (size = MP_KARATSUBA_MUL_CUTOFF; size < MP_KARATSUBA_MUL_CUTOFF + 20; size++) { + if ((err = mp_rand(&a, size)) != MP_OKAY) { + goto LTM_ERR; + } + if ((err = mp_rand(&b, size)) != MP_OKAY) { + goto LTM_ERR; + } + if ((err = s_mp_karatsuba_mul(&a, &b, &c)) != MP_OKAY) { + goto LTM_ERR; + } + if ((err = s_mp_mul(&a,&b,&d)) != MP_OKAY) { + goto LTM_ERR; + } + if (mp_cmp(&c, &d) != MP_EQ) { + fprintf(stderr, "Karatsuba multiplication failed at size %d\n", size); + goto LTM_ERR; + } + } + + mp_clear_multi(&a, &b, &c, &d, NULL); + return EXIT_SUCCESS; +LTM_ERR: + mp_clear_multi(&a, &b, &c, &d, NULL); + return EXIT_FAILURE; +} + +static int test_s_mp_karatsuba_sqr(void) +{ + mp_int a, b, c; + int size, err; + + if ((err = mp_init_multi(&a, &b, &c, NULL)) != MP_OKAY) { + goto LTM_ERR; + } + for (size = MP_KARATSUBA_SQR_CUTOFF; size < MP_KARATSUBA_SQR_CUTOFF + 20; size++) { + if ((err = mp_rand(&a, size)) != MP_OKAY) { + goto LTM_ERR; + } + if ((err = s_mp_karatsuba_sqr(&a, &b)) != MP_OKAY) { + goto LTM_ERR; + } + if ((err = s_mp_sqr(&a, &c)) != MP_OKAY) { + goto LTM_ERR; + } + if (mp_cmp(&b, &c) != MP_EQ) { + fprintf(stderr, "Karatsuba squaring failed at size %d\n", size); + goto LTM_ERR; + } + } + + mp_clear_multi(&a, &b, &c, NULL); + return EXIT_SUCCESS; +LTM_ERR: + mp_clear_multi(&a, &b, &c, NULL); + return EXIT_FAILURE; +} + +static int test_s_mp_toom_mul(void) +{ + mp_int a, b, c, d; + int size, err; + +#if (MP_DIGIT_BIT == 60) + int tc_cutoff; +#endif + + if ((err = mp_init_multi(&a, &b, &c, &d, NULL)) != MP_OKAY) { + goto LTM_ERR; + } + /* This number construction is limb-size specific */ +#if (MP_DIGIT_BIT == 60) + if ((err = mp_rand(&a, 1196)) != MP_OKAY) { + goto LTM_ERR; + } + if ((err = mp_mul_2d(&a,71787 - mp_count_bits(&a), &a)) != MP_OKAY) { + goto LTM_ERR; + } + + if ((err = mp_rand(&b, 1338)) != MP_OKAY) { + goto LTM_ERR; + } + if ((err = mp_mul_2d(&b, 80318 - mp_count_bits(&b), &b)) != MP_OKAY) { + goto LTM_ERR; + } + if ((err = mp_mul_2d(&b, 6310, &b)) != MP_OKAY) { + goto LTM_ERR; + } + if ((err = mp_2expt(&c, 99000 - 1000)) != MP_OKAY) { + goto LTM_ERR; + } + if ((err = mp_add(&b, &c, &b)) != MP_OKAY) { + goto LTM_ERR; + } + + tc_cutoff = TOOM_MUL_CUTOFF; + TOOM_MUL_CUTOFF = INT_MAX; + if ((err = mp_mul(&a, &b, &c)) != MP_OKAY) { + goto LTM_ERR; + } + TOOM_MUL_CUTOFF = tc_cutoff; + if ((err = mp_mul(&a, &b, &d)) != MP_OKAY) { + goto LTM_ERR; + } + if (mp_cmp(&c, &d) != MP_EQ) { + fprintf(stderr, "Toom-Cook 3-way multiplication failed for edgecase f1 * f2\n"); + goto LTM_ERR; + } +#endif + + for (size = MP_TOOM_MUL_CUTOFF; size < MP_TOOM_MUL_CUTOFF + 20; size++) { + if ((err = mp_rand(&a, size)) != MP_OKAY) { + goto LTM_ERR; + } + if ((err = mp_rand(&b, size)) != MP_OKAY) { + goto LTM_ERR; + } + if ((err = s_mp_toom_mul(&a, &b, &c)) != MP_OKAY) { + goto LTM_ERR; + } + if ((err = s_mp_mul(&a,&b,&d)) != MP_OKAY) { + goto LTM_ERR; + } + if (mp_cmp(&c, &d) != MP_EQ) { + fprintf(stderr, "Toom-Cook 3-way multiplication failed at size %d\n", size); + goto LTM_ERR; + } + } + + mp_clear_multi(&a, &b, &c, &d, NULL); + return EXIT_SUCCESS; +LTM_ERR: + mp_clear_multi(&a, &b, &c, &d, NULL); + return EXIT_FAILURE; +} + +static int test_s_mp_toom_sqr(void) +{ + mp_int a, b, c; + int size, err; + + if ((err = mp_init_multi(&a, &b, &c, NULL)) != MP_OKAY) { + goto LTM_ERR; + } + for (size = MP_TOOM_SQR_CUTOFF; size < MP_TOOM_SQR_CUTOFF + 20; size++) { + if ((err = mp_rand(&a, size)) != MP_OKAY) { + goto LTM_ERR; + } + if ((err = s_mp_toom_sqr(&a, &b)) != MP_OKAY) { + goto LTM_ERR; + } + if ((err = s_mp_sqr(&a, &c)) != MP_OKAY) { + goto LTM_ERR; + } + if (mp_cmp(&b, &c) != MP_EQ) { + fprintf(stderr, "Toom-Cook 3-way squaring failed at size %d\n", size); + goto LTM_ERR; + } + } + + mp_clear_multi(&a, &b, &c, NULL); + return EXIT_SUCCESS; +LTM_ERR: + mp_clear_multi(&a, &b, &c, NULL); + return EXIT_FAILURE; +} + +static int test_mp_read_write_ubin(void) +{ + mp_int a, b, c; + int err; + size_t size, len; + unsigned char *buf = NULL; + + if ((err = mp_init_multi(&a, &b, &c, NULL)) != MP_OKAY) { + goto LTM_ERR; + } + + if ((err = mp_rand(&a, 15)) != MP_OKAY) goto LTM_ERR; + if ((err = mp_neg(&a, &b)) != MP_OKAY) goto LTM_ERR; + + size = mp_ubin_size(&a); + printf("mp_to_ubin_size %zu\n", size); + buf = malloc(sizeof(*buf) * size); + if (buf == NULL) { + fprintf(stderr, "test_read_write_binaries (u) failed to allocate %zu bytes\n", + sizeof(*buf) * size); + goto LTM_ERR; + } + + if ((err = mp_to_ubin(&a, buf, size, &len)) != MP_OKAY) goto LTM_ERR; + printf("mp_to_ubin len = %zu\n", len); + + if ((err = mp_from_ubin(&c, buf, len)) != MP_OKAY) goto LTM_ERR; + + if (mp_cmp(&a, &c) != MP_EQ) { + fprintf(stderr, "to/from ubin cycle failed\n"); + goto LTM_ERR; + } + free(buf); + mp_clear_multi(&a, &b, &c, NULL); + return EXIT_SUCCESS; +LTM_ERR: + free(buf); + mp_clear_multi(&a, &b, &c, NULL); + return EXIT_FAILURE; +} + +static int test_mp_read_write_sbin(void) +{ + mp_int a, b, c; + int err; + size_t size, len; + unsigned char *buf = NULL; + + if ((err = mp_init_multi(&a, &b, &c, NULL)) != MP_OKAY) { + goto LTM_ERR; + } + + if ((err = mp_rand(&a, 15)) != MP_OKAY) goto LTM_ERR; + if ((err = mp_neg(&a, &b)) != MP_OKAY) goto LTM_ERR; + + size = mp_sbin_size(&a); + printf("mp_to_sbin_size %zu\n", size); + buf = malloc(sizeof(*buf) * size); + if (buf == NULL) { + fprintf(stderr, "test_read_write_binaries (s) failed to allocate %zu bytes\n", + sizeof(*buf) * size); + goto LTM_ERR; + } + + if ((err = mp_to_sbin(&b, buf, size, &len)) != MP_OKAY) goto LTM_ERR; + printf("mp_to_sbin len = %zu\n", len); + + if ((err = mp_from_sbin(&c, buf, len)) != MP_OKAY) goto LTM_ERR; + + if (mp_cmp(&b, &c) != MP_EQ) { + fprintf(stderr, "to/from ubin cycle failed\n"); + goto LTM_ERR; + } + + free(buf); + mp_clear_multi(&a, &b, &c, NULL); + return EXIT_SUCCESS; +LTM_ERR: + free(buf); + mp_clear_multi(&a, &b, &c, NULL); + return EXIT_FAILURE; +} + +static int test_mp_pack_unpack(void) +{ + mp_int a, b; + int err; + size_t written, count; + unsigned char *buf = NULL; + + mp_order order = MP_LSB_FIRST; + mp_endian endianess = MP_NATIVE_ENDIAN; + + if ((err = mp_init_multi(&a, &b, NULL)) != MP_OKAY) goto LTM_ERR; + if ((err = mp_rand(&a, 15)) != MP_OKAY) goto LTM_ERR; + + count = mp_pack_count(&a, 0, 1); + + buf = malloc(count); + if (buf == NULL) { + fprintf(stderr, "test_pack_unpack failed to allocate\n"); + goto LTM_ERR; + } + + if ((err = mp_pack((void *)buf, count, &written, order, 1, + endianess, 0, &a)) != MP_OKAY) goto LTM_ERR; + if ((err = mp_unpack(&b, count, order, 1, + endianess, 0, (const void *)buf)) != MP_OKAY) goto LTM_ERR; + + if (mp_cmp(&a, &b) != MP_EQ) { + fprintf(stderr, "pack/unpack cycle failed\n"); + goto LTM_ERR; + } + + free(buf); + mp_clear_multi(&a, &b, NULL); + return EXIT_SUCCESS; +LTM_ERR: + free(buf); + mp_clear_multi(&a, &b, NULL); + return EXIT_FAILURE; +} + +static int unit_tests(int argc, char **argv) +{ + static const struct { + const char *name; + int (*fn)(void); + } test[] = { +#define T0(n) { #n, test_##n } +#define T1(n, o) { #n, MP_HAS(o) ? test_##n : NULL } +#define T2(n, o1, o2) { #n, MP_HAS(o1) && MP_HAS(o2) ? test_##n : NULL } + T0(feature_detection), + T0(trivial_stuff), + T2(mp_get_set_i32, MP_GET_I32, MP_GET_MAG_U32), + T2(mp_get_set_i64, MP_GET_I64, MP_GET_MAG_U64), + T1(mp_and, MP_AND), + T1(mp_cnt_lsb, MP_CNT_LSB), + T1(mp_complement, MP_COMPLEMENT), + T1(mp_decr, MP_DECR), + T1(mp_div_3, MP_DIV_3), + T1(mp_dr_reduce, MP_DR_REDUCE), + T2(mp_pack_unpack,MP_PACK, MP_UNPACK), + T2(mp_fread_fwrite, MP_FREAD, MP_FWRITE), + T1(mp_get_u32, MP_GET_I32), + T1(mp_get_u64, MP_GET_I64), + T1(mp_get_ul, MP_GET_L), + T1(mp_log_u32, MP_LOG_U32), + T1(mp_incr, MP_INCR), + T1(mp_invmod, MP_INVMOD), + T1(mp_is_square, MP_IS_SQUARE), + T1(mp_kronecker, MP_KRONECKER), + T1(mp_montgomery_reduce, MP_MONTGOMERY_REDUCE), + T1(mp_root_u32, MP_ROOT_U32), + T1(mp_or, MP_OR), + T1(mp_prime_is_prime, MP_PRIME_IS_PRIME), + T1(mp_prime_next_prime, MP_PRIME_NEXT_PRIME), + T1(mp_prime_rand, MP_PRIME_RAND), + T1(mp_rand, MP_RAND), + T1(mp_read_radix, MP_READ_RADIX), + T1(mp_read_write_ubin, MP_TO_UBIN), + T1(mp_read_write_sbin, MP_TO_SBIN), + T1(mp_reduce_2k, MP_REDUCE_2K), + T1(mp_reduce_2k_l, MP_REDUCE_2K_L), +#if defined(__STDC_IEC_559__) || defined(__GCC_IEC_559) + T1(mp_set_double, MP_SET_DOUBLE), +#endif + T1(mp_signed_rsh, MP_SIGNED_RSH), + T1(mp_sqrt, MP_SQRT), + T1(mp_sqrtmod_prime, MP_SQRTMOD_PRIME), + T1(mp_xor, MP_XOR), + T1(s_mp_balance_mul, S_MP_BALANCE_MUL), + T1(s_mp_karatsuba_mul, S_MP_KARATSUBA_MUL), + T1(s_mp_karatsuba_sqr, S_MP_KARATSUBA_SQR), + T1(s_mp_toom_mul, S_MP_TOOM_MUL), + T1(s_mp_toom_sqr, S_MP_TOOM_SQR) +#undef T2 +#undef T1 + }; + unsigned long i, ok, fail, nop; + uint64_t t; + int j; + + ok = fail = nop = 0; + + t = (uint64_t)time(NULL); + printf("SEED: 0x%"PRIx64"\n\n", t); + s_mp_rand_jenkins_init(t); + mp_rand_source(s_mp_rand_jenkins); + + for (i = 0; i < sizeof(test) / sizeof(test[0]); ++i) { + if (argc > 1) { + for (j = 1; j < argc; ++j) { + if (strstr(test[i].name, argv[j]) != NULL) { + break; + } + } + if (j == argc) continue; + } + printf("TEST %s\n\n", test[i].name); + if (test[i].fn == NULL) { + nop++; + printf("NOP %s\n\n", test[i].name); + } else if (test[i].fn() == EXIT_SUCCESS) { + ok++; + printf("\n\n"); + } else { + fail++; + printf("\n\nFAIL %s\n\n", test[i].name); + } + } + printf("Tests OK/NOP/FAIL: %lu/%lu/%lu\n", ok, nop, fail); + + if (fail != 0) return EXIT_FAILURE; + else return EXIT_SUCCESS; +} + +int main(int argc, char **argv) +{ + print_header(); + + return unit_tests(argc, argv); +} |