#include "testutils.h" void test_main (void) { gmp_randstate_t rands; mpz_t r; unsigned i; gmp_randinit_default (rands); mpz_init (r); for (i = 0; ecc_curves[i]; i++) { const struct ecc_curve *ecc = ecc_curves[i]; mp_size_t size = ecc_size (ecc); mp_limb_t *p = xalloc_limbs (ecc_size_j (ecc)); mp_limb_t *q = xalloc_limbs (ecc_size_j (ecc)); mp_limb_t *n = xalloc_limbs (size); mp_limb_t *scratch = xalloc_limbs (ecc->mul_itch); unsigned j; mpn_zero (n, size); n[0] = 1; ecc->mul (ecc, p, n, ecc->g, scratch); ecc->h_to_a (ecc, 0, p, p, scratch); if (mpn_cmp (p, ecc->g, 2*size) != 0) die ("curve %d: ecc->mul with n = 1 failed.\n", ecc->p.bit_size); for (n[0] = 2; n[0] <= 4; n[0]++) { ecc->mul (ecc, p, n, ecc->g, scratch); test_ecc_mul_h (i, n[0], p); } /* (order - 1) * g = - g */ mpn_sub_1 (n, ecc->q.m, size, 1); ecc->mul (ecc, p, n, ecc->g, scratch); ecc->h_to_a (ecc, 0, p, p, scratch); if (ecc->p.bit_size == 255) /* For edwards curves, - (x,y ) == (-x, y). FIXME: Swap x and y, to get identical negation? */ mpn_sub_n (p, ecc->p.m, p, size); else mpn_sub_n (p + size, ecc->p.m, p + size, size); if (mpn_cmp (p, ecc->g, 2*size) != 0) { fprintf (stderr, "ecc->mul with n = order - 1 failed.\n"); abort (); } mpn_zero (n, size); for (j = 0; j < 100; j++) { if (j & 1) mpz_rrandomb (r, rands, size * GMP_NUMB_BITS); else mpz_urandomb (r, rands, size * GMP_NUMB_BITS); /* Reduce so that (almost surely) n < q */ mpz_limbs_copy (n, r, size); n[size - 1] %= ecc->q.m[size - 1]; ecc->mul (ecc, p, n, ecc->g, scratch); ecc->h_to_a (ecc, 0, p, p, scratch); ecc->mul_g (ecc, q, n, scratch); ecc->h_to_a (ecc, 0, q, q, scratch); if (mpn_cmp (p, q, 2*size)) { fprintf (stderr, "Different results from ecc->mul and ecc->mul_g.\n" " bits = %u\n", ecc->p.bit_size); fprintf (stderr, " n = "); mpn_out_str (stderr, 16, n, size); fprintf (stderr, "\np = "); mpn_out_str (stderr, 16, p, size); fprintf (stderr, ",\n "); mpn_out_str (stderr, 16, p + size, size); fprintf (stderr, "\nq = "); mpn_out_str (stderr, 16, q, size); fprintf (stderr, ",\n "); mpn_out_str (stderr, 16, q + size, size); fprintf (stderr, "\n"); abort (); } } free (n); free (p); free (q); free (scratch); } mpz_clear (r); gmp_randclear (rands); }