#include "testutils.h" #include #include #include static void ref_mod (mp_limb_t *rp, const mp_limb_t *ap, const mp_limb_t *mp, mp_size_t mn) { mpz_t r, a, m; mpz_init (r); mpz_mod (r, mpz_roinit_n (a, ap, 2*mn), mpz_roinit_n (m, mp, mn)); mpz_limbs_copy (rp, r, mn); mpz_clear (r); } #define MAX_ECC_SIZE (1 + 521 / GMP_NUMB_BITS) #define MAX_SIZE (2*MAX_ECC_SIZE) #define COUNT 50000 static void test_one(const char *name, const struct ecc_modulo *m, const mpz_t r) { mp_limb_t a[MAX_SIZE]; mp_limb_t t[MAX_SIZE]; mp_limb_t ref[MAX_SIZE]; mpz_limbs_copy (a, r, 2*m->size); ref_mod (ref, a, m->m, m->size); mpn_copyi (t, a, 2*m->size); m->mod (m, t); if (mpn_cmp (t, m->m, m->size) >= 0) mpn_sub_n (t, t, m->m, m->size); if (mpn_cmp (t, ref, m->size)) { fprintf (stderr, "m->mod %s failed: bit_size = %u\n", name, m->bit_size); fprintf (stderr, "a = "); mpn_out_str (stderr, 16, a, 2*m->size); fprintf (stderr, "\nt = "); mpn_out_str (stderr, 16, t, m->size); fprintf (stderr, " (bad)\nref = "); mpn_out_str (stderr, 16, ref, m->size); fprintf (stderr, "\n"); abort (); } if (m->B_size < m->size) { mpn_copyi (t, a, 2*m->size); ecc_mod (m, t); if (mpn_cmp (t, m->m, m->size) >= 0) mpn_sub_n (t, t, m->m, m->size); if (mpn_cmp (t, ref, m->size)) { fprintf (stderr, "ecc_mod %s failed: bit_size = %u\n", name, m->bit_size); fprintf (stderr, "a = "); mpn_out_str (stderr, 16, a, 2*m->size); fprintf (stderr, "\nt = "); mpn_out_str (stderr, 16, t, m->size); fprintf (stderr, " (bad)\nref = "); mpn_out_str (stderr, 16, ref, m->size); fprintf (stderr, "\n"); abort (); } } } static void test_modulo (gmp_randstate_t rands, const char *name, const struct ecc_modulo *m, unsigned count) { mpz_t r; unsigned j; mpz_init (r); for (j = 0; j < count; j++) { if (j & 1) mpz_rrandomb (r, rands, 2*m->size * GMP_NUMB_BITS); else mpz_urandomb (r, rands, 2*m->size * GMP_NUMB_BITS); test_one (name, m, r); } mpz_clear (r); } static void test_fixed (void) { mpz_t r; mpz_init (r); /* Triggered a bug reported by Hanno Böck. */ mpz_set_str (r, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFF001C2C00", 16); mpz_mul_2exp (r, r, 256); test_one ("p", &_nettle_secp_256r1.p, r); test_one ("q", &_nettle_secp_256r1.q, r); mpz_set_str (r, "ffffffff00000001fffffffeffffffffffffffffffffffffffffffc0000000000007ffffffffffffffffffffffffffff00000000000000000fffffffffffffff", 16); test_one ("p", &_nettle_secp_256r1.p, r); test_one ("q", &_nettle_secp_256r1.q, r); /* Triggered a bug reported by Hanno Böck. */ mpz_set_str (r, "4c9000000000000000000000000000000000000000000000004a604db486e000000000000000000000000000000000000000121025be29575adb2c8ffffffffffffffffffffffffffffffffffffffffffffffffffffffff", 16); test_one ("p", &_nettle_secp_384r1.p, r); test_one ("q", &_nettle_secp_384r1.q, r); /* Triggered a carry bug in development version. */ mpz_set_str (r, "e64a84643150260640e4677c19ffc4faef06042132b86af6e9ee33fe1850222e57a514d5f1d6d444008bb896a96a43d5629945e57548f5e12f66be132b24110cbb2df6d7d3dd3aaadc98b0bbf29573843ad72e57f59fc5d4f56cc599da18bb99", 16); test_one ("p", &_nettle_secp_384r1.p, r); test_one ("q", &_nettle_secp_384r1.q, r); mpz_clear (r); } static void test_patterns (const char *name, const struct ecc_modulo *m) { mpz_t r; unsigned j; mpz_init (r); for (j = m->bit_size; j < 2*m->bit_size; j++) { mpz_set_ui (r, 1); mpz_mul_2exp (r, r, j); test_one (name, m, r); } mpz_clear (r); } #if !NETTLE_USE_MINI_GMP static void get_random_seed(mpz_t seed) { struct timeval tv; FILE *f; f = fopen ("/dev/urandom", "rb"); if (f) { uint8_t buf[8]; size_t res; setbuf (f, NULL); res = fread (&buf, sizeof(buf), 1, f); fclose(f); if (res == 1) { nettle_mpz_set_str_256_u (seed, sizeof(buf), buf); return; } fprintf (stderr, "Read of /dev/urandom failed: %s\n", strerror (errno)); } gettimeofday(&tv, NULL); mpz_set_ui (seed, tv.tv_sec); mpz_mul_ui (seed, seed, 1000000UL); mpz_add_ui (seed, seed, tv.tv_usec); } #endif /* !NETTLE_USE_MINI_GMP */ void test_main (void) { const char *nettle_test_seed; gmp_randstate_t rands; unsigned count = COUNT; unsigned i; gmp_randinit_default (rands); test_fixed (); for (i = 0; ecc_curves[i]; i++) { test_patterns ("p", &ecc_curves[i]->p); test_patterns ("q", &ecc_curves[i]->p); } #if !NETTLE_USE_MINI_GMP nettle_test_seed = getenv ("NETTLE_TEST_SEED"); if (nettle_test_seed && *nettle_test_seed) { mpz_t seed; mpz_init (seed); if (mpz_set_str (seed, nettle_test_seed, 0) < 0 || mpz_sgn (seed) < 0) die ("Invalid NETTLE_TEST_SEED: %s\n", nettle_test_seed); if (mpz_sgn (seed) == 0) get_random_seed (seed); fprintf (stderr, "Using NETTLE_TEST_SEED="); mpz_out_str (stderr, 10, seed); fprintf (stderr, "\n"); gmp_randseed (rands, seed); mpz_clear (seed); count *= 20; } #endif /* !NETTLE_USE_MINI_GMP */ for (i = 0; ecc_curves[i]; i++) { test_modulo (rands, "p", &ecc_curves[i]->p, count); test_modulo (rands, "q", &ecc_curves[i]->q, count); } gmp_randclear (rands); }