/* BEGIN_HEADER */ #include "mbedtls/ecp.h" #include "ecp_invasive.h" #include "mbedtls/ecdsa.h" #include "mbedtls/ecdh.h" #include "bignum_core.h" #include "ecp_invasive.h" #include "bignum_mod_raw_invasive.h" #include "constant_time_internal.h" #define ECP_PF_UNKNOWN -1 #define ECP_PT_RESET(x) \ mbedtls_ecp_point_free(x); \ mbedtls_ecp_point_init(x); /* Auxiliary function to compare two mbedtls_ecp_group objects. */ inline static int mbedtls_ecp_group_cmp(mbedtls_ecp_group *grp1, mbedtls_ecp_group *grp2) { if (mbedtls_mpi_cmp_mpi(&grp1->P, &grp2->P) != 0) { return 1; } if (mbedtls_mpi_cmp_mpi(&grp1->A, &grp2->A) != 0) { return 1; } if (mbedtls_mpi_cmp_mpi(&grp1->B, &grp2->B) != 0) { return 1; } if (mbedtls_mpi_cmp_mpi(&grp1->N, &grp2->N) != 0) { return 1; } if (mbedtls_ecp_point_cmp(&grp1->G, &grp2->G) != 0) { return 1; } if (grp1->id != grp2->id) { return 1; } if (grp1->pbits != grp2->pbits) { return 1; } if (grp1->nbits != grp2->nbits) { return 1; } if (grp1->h != grp2->h) { return 1; } if (grp1->modp != grp2->modp) { return 1; } if (grp1->t_pre != grp2->t_pre) { return 1; } if (grp1->t_post != grp2->t_post) { return 1; } if (grp1->t_data != grp2->t_data) { return 1; } if (grp1->T_size != grp2->T_size) { return 1; } if (grp1->T != grp2->T) { return 1; } return 0; } /* END_HEADER */ /* BEGIN_DEPENDENCIES * depends_on:MBEDTLS_ECP_LIGHT * END_DEPENDENCIES */ /* BEGIN_CASE */ void ecp_invalid_param() { mbedtls_ecp_group grp; mbedtls_ecp_point P; int invalid_fmt = 42; size_t olen; unsigned char buf[42] = { 0 }; mbedtls_ecp_group_init(&grp); mbedtls_ecp_point_init(&P); TEST_EQUAL(MBEDTLS_ERR_ECP_BAD_INPUT_DATA, mbedtls_ecp_point_write_binary(&grp, &P, invalid_fmt, &olen, buf, sizeof(buf))); TEST_EQUAL(MBEDTLS_ERR_ECP_BAD_INPUT_DATA, mbedtls_ecp_tls_write_point(&grp, &P, invalid_fmt, &olen, buf, sizeof(buf))); exit: return; } /* END_CASE */ /* BEGIN_CASE */ void mbedtls_ecp_curve_info(int id, int tls_id, int size, char *name) { const mbedtls_ecp_curve_info *by_id, *by_tls, *by_name; by_id = mbedtls_ecp_curve_info_from_grp_id(id); by_tls = mbedtls_ecp_curve_info_from_tls_id(tls_id); by_name = mbedtls_ecp_curve_info_from_name(name); TEST_ASSERT(by_id != NULL); TEST_ASSERT(by_tls != NULL); TEST_ASSERT(by_name != NULL); TEST_ASSERT(by_id == by_tls); TEST_ASSERT(by_id == by_name); TEST_ASSERT(by_id->bit_size == size); TEST_ASSERT(size <= MBEDTLS_ECP_MAX_BITS); TEST_ASSERT(size <= MBEDTLS_ECP_MAX_BYTES * 8); } /* END_CASE */ /* BEGIN_CASE */ void ecp_check_pub(int grp_id, char *x_hex, char *y_hex, char *z_hex, int ret) { mbedtls_ecp_group grp; mbedtls_ecp_point P; mbedtls_ecp_group_init(&grp); mbedtls_ecp_point_init(&P); TEST_ASSERT(mbedtls_ecp_group_load(&grp, grp_id) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&P.X, x_hex) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&P.Y, y_hex) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&P.Z, z_hex) == 0); TEST_ASSERT(mbedtls_ecp_check_pubkey(&grp, &P) == ret); exit: mbedtls_ecp_group_free(&grp); mbedtls_ecp_point_free(&P); } /* END_CASE */ /* BEGIN_CASE depends_on:MBEDTLS_ECP_RESTARTABLE */ void ecp_test_vect_restart(int id, char *dA_str, char *xA_str, char *yA_str, char *dB_str, char *xZ_str, char *yZ_str, int max_ops, int min_restarts, int max_restarts) { /* * Test for early restart. Based on test vectors like ecp_test_vect(), * but for the sake of simplicity only does half of each side. It's * important to test both base point and random point, though, as memory * management is different in each case. * * Don't try using too precise bounds for restarts as the exact number * will depend on settings such as MBEDTLS_ECP_FIXED_POINT_OPTIM and * MBEDTLS_ECP_WINDOW_SIZE, as well as implementation details that may * change in the future. A factor 2 is a minimum safety margin. * * For reference, with mbed TLS 2.4 and default settings, for P-256: * - Random point mult: ~3250M * - Cold base point mult: ~3300M * - Hot base point mult: ~1100M * With MBEDTLS_ECP_WINDOW_SIZE set to 2 (minimum): * - Random point mult: ~3850M */ mbedtls_ecp_restart_ctx ctx; mbedtls_ecp_group grp; mbedtls_ecp_point R, P; mbedtls_mpi dA, xA, yA, dB, xZ, yZ; int cnt_restarts; int ret; mbedtls_test_rnd_pseudo_info rnd_info; mbedtls_ecp_restart_init(&ctx); mbedtls_ecp_group_init(&grp); mbedtls_ecp_point_init(&R); mbedtls_ecp_point_init(&P); mbedtls_mpi_init(&dA); mbedtls_mpi_init(&xA); mbedtls_mpi_init(&yA); mbedtls_mpi_init(&dB); mbedtls_mpi_init(&xZ); mbedtls_mpi_init(&yZ); memset(&rnd_info, 0x00, sizeof(mbedtls_test_rnd_pseudo_info)); TEST_ASSERT(mbedtls_ecp_group_load(&grp, id) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&dA, dA_str) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&xA, xA_str) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&yA, yA_str) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&dB, dB_str) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&xZ, xZ_str) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&yZ, yZ_str) == 0); mbedtls_ecp_set_max_ops((unsigned) max_ops); /* Base point case */ cnt_restarts = 0; do { ECP_PT_RESET(&R); ret = mbedtls_ecp_mul_restartable(&grp, &R, &dA, &grp.G, &mbedtls_test_rnd_pseudo_rand, &rnd_info, &ctx); } while (ret == MBEDTLS_ERR_ECP_IN_PROGRESS && ++cnt_restarts); TEST_ASSERT(ret == 0); TEST_ASSERT(mbedtls_mpi_cmp_mpi(&R.X, &xA) == 0); TEST_ASSERT(mbedtls_mpi_cmp_mpi(&R.Y, &yA) == 0); TEST_ASSERT(cnt_restarts >= min_restarts); TEST_ASSERT(cnt_restarts <= max_restarts); /* Non-base point case */ mbedtls_ecp_copy(&P, &R); cnt_restarts = 0; do { ECP_PT_RESET(&R); ret = mbedtls_ecp_mul_restartable(&grp, &R, &dB, &P, &mbedtls_test_rnd_pseudo_rand, &rnd_info, &ctx); } while (ret == MBEDTLS_ERR_ECP_IN_PROGRESS && ++cnt_restarts); TEST_ASSERT(ret == 0); TEST_ASSERT(mbedtls_mpi_cmp_mpi(&R.X, &xZ) == 0); TEST_ASSERT(mbedtls_mpi_cmp_mpi(&R.Y, &yZ) == 0); TEST_ASSERT(cnt_restarts >= min_restarts); TEST_ASSERT(cnt_restarts <= max_restarts); /* Do we leak memory when aborting an operation? * This test only makes sense when we actually restart */ if (min_restarts > 0) { ret = mbedtls_ecp_mul_restartable(&grp, &R, &dB, &P, &mbedtls_test_rnd_pseudo_rand, &rnd_info, &ctx); TEST_ASSERT(ret == MBEDTLS_ERR_ECP_IN_PROGRESS); } exit: mbedtls_ecp_restart_free(&ctx); mbedtls_ecp_group_free(&grp); mbedtls_ecp_point_free(&R); mbedtls_ecp_point_free(&P); mbedtls_mpi_free(&dA); mbedtls_mpi_free(&xA); mbedtls_mpi_free(&yA); mbedtls_mpi_free(&dB); mbedtls_mpi_free(&xZ); mbedtls_mpi_free(&yZ); } /* END_CASE */ /* BEGIN_CASE depends_on:MBEDTLS_ECP_RESTARTABLE:MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED */ void ecp_muladd_restart(int id, char *xR_str, char *yR_str, char *u1_str, char *u2_str, char *xQ_str, char *yQ_str, int max_ops, int min_restarts, int max_restarts) { /* * Compute R = u1 * G + u2 * Q * (test vectors mostly taken from ECDSA intermediate results) * * See comments at the top of ecp_test_vect_restart() */ mbedtls_ecp_restart_ctx ctx; mbedtls_ecp_group grp; mbedtls_ecp_point R, Q; mbedtls_mpi u1, u2, xR, yR; int cnt_restarts; int ret; mbedtls_ecp_restart_init(&ctx); mbedtls_ecp_group_init(&grp); mbedtls_ecp_point_init(&R); mbedtls_ecp_point_init(&Q); mbedtls_mpi_init(&u1); mbedtls_mpi_init(&u2); mbedtls_mpi_init(&xR); mbedtls_mpi_init(&yR); TEST_ASSERT(mbedtls_ecp_group_load(&grp, id) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&u1, u1_str) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&u2, u2_str) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&xR, xR_str) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&yR, yR_str) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&Q.X, xQ_str) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&Q.Y, yQ_str) == 0); TEST_ASSERT(mbedtls_mpi_lset(&Q.Z, 1) == 0); mbedtls_ecp_set_max_ops((unsigned) max_ops); cnt_restarts = 0; do { ECP_PT_RESET(&R); ret = mbedtls_ecp_muladd_restartable(&grp, &R, &u1, &grp.G, &u2, &Q, &ctx); } while (ret == MBEDTLS_ERR_ECP_IN_PROGRESS && ++cnt_restarts); TEST_ASSERT(ret == 0); TEST_ASSERT(mbedtls_mpi_cmp_mpi(&R.X, &xR) == 0); TEST_ASSERT(mbedtls_mpi_cmp_mpi(&R.Y, &yR) == 0); TEST_ASSERT(cnt_restarts >= min_restarts); TEST_ASSERT(cnt_restarts <= max_restarts); /* Do we leak memory when aborting an operation? * This test only makes sense when we actually restart */ if (min_restarts > 0) { ret = mbedtls_ecp_muladd_restartable(&grp, &R, &u1, &grp.G, &u2, &Q, &ctx); TEST_ASSERT(ret == MBEDTLS_ERR_ECP_IN_PROGRESS); } exit: mbedtls_ecp_restart_free(&ctx); mbedtls_ecp_group_free(&grp); mbedtls_ecp_point_free(&R); mbedtls_ecp_point_free(&Q); mbedtls_mpi_free(&u1); mbedtls_mpi_free(&u2); mbedtls_mpi_free(&xR); mbedtls_mpi_free(&yR); } /* END_CASE */ /* BEGIN_CASE depends_on:MBEDTLS_ECP_C */ void ecp_test_vect(int id, char *dA_str, char *xA_str, char *yA_str, char *dB_str, char *xB_str, char *yB_str, char *xZ_str, char *yZ_str) { mbedtls_ecp_group grp; mbedtls_ecp_point R; mbedtls_mpi dA, xA, yA, dB, xB, yB, xZ, yZ; mbedtls_test_rnd_pseudo_info rnd_info; mbedtls_ecp_group_init(&grp); mbedtls_ecp_point_init(&R); mbedtls_mpi_init(&dA); mbedtls_mpi_init(&xA); mbedtls_mpi_init(&yA); mbedtls_mpi_init(&dB); mbedtls_mpi_init(&xB); mbedtls_mpi_init(&yB); mbedtls_mpi_init(&xZ); mbedtls_mpi_init(&yZ); memset(&rnd_info, 0x00, sizeof(mbedtls_test_rnd_pseudo_info)); TEST_ASSERT(mbedtls_ecp_group_load(&grp, id) == 0); TEST_ASSERT(mbedtls_ecp_check_pubkey(&grp, &grp.G) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&dA, dA_str) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&xA, xA_str) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&yA, yA_str) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&dB, dB_str) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&xB, xB_str) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&yB, yB_str) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&xZ, xZ_str) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&yZ, yZ_str) == 0); TEST_ASSERT(mbedtls_ecp_mul(&grp, &R, &dA, &grp.G, &mbedtls_test_rnd_pseudo_rand, &rnd_info) == 0); TEST_ASSERT(mbedtls_mpi_cmp_mpi(&R.X, &xA) == 0); TEST_ASSERT(mbedtls_mpi_cmp_mpi(&R.Y, &yA) == 0); TEST_ASSERT(mbedtls_ecp_check_pubkey(&grp, &R) == 0); TEST_ASSERT(mbedtls_ecp_mul(&grp, &R, &dB, &R, &mbedtls_test_rnd_pseudo_rand, &rnd_info) == 0); TEST_ASSERT(mbedtls_mpi_cmp_mpi(&R.X, &xZ) == 0); TEST_ASSERT(mbedtls_mpi_cmp_mpi(&R.Y, &yZ) == 0); TEST_ASSERT(mbedtls_ecp_check_pubkey(&grp, &R) == 0); TEST_ASSERT(mbedtls_ecp_mul(&grp, &R, &dB, &grp.G, &mbedtls_test_rnd_pseudo_rand, &rnd_info) == 0); TEST_ASSERT(mbedtls_mpi_cmp_mpi(&R.X, &xB) == 0); TEST_ASSERT(mbedtls_mpi_cmp_mpi(&R.Y, &yB) == 0); TEST_ASSERT(mbedtls_ecp_check_pubkey(&grp, &R) == 0); TEST_ASSERT(mbedtls_ecp_mul(&grp, &R, &dA, &R, &mbedtls_test_rnd_pseudo_rand, &rnd_info) == 0); TEST_ASSERT(mbedtls_mpi_cmp_mpi(&R.X, &xZ) == 0); TEST_ASSERT(mbedtls_mpi_cmp_mpi(&R.Y, &yZ) == 0); TEST_ASSERT(mbedtls_ecp_check_pubkey(&grp, &R) == 0); exit: mbedtls_ecp_group_free(&grp); mbedtls_ecp_point_free(&R); mbedtls_mpi_free(&dA); mbedtls_mpi_free(&xA); mbedtls_mpi_free(&yA); mbedtls_mpi_free(&dB); mbedtls_mpi_free(&xB); mbedtls_mpi_free(&yB); mbedtls_mpi_free(&xZ); mbedtls_mpi_free(&yZ); } /* END_CASE */ /* BEGIN_CASE depends_on:MBEDTLS_ECP_C */ void ecp_test_vec_x(int id, char *dA_hex, char *xA_hex, char *dB_hex, char *xB_hex, char *xS_hex) { mbedtls_ecp_group grp; mbedtls_ecp_point R; mbedtls_mpi dA, xA, dB, xB, xS; mbedtls_test_rnd_pseudo_info rnd_info; mbedtls_ecp_group_init(&grp); mbedtls_ecp_point_init(&R); mbedtls_mpi_init(&dA); mbedtls_mpi_init(&xA); mbedtls_mpi_init(&dB); mbedtls_mpi_init(&xB); mbedtls_mpi_init(&xS); memset(&rnd_info, 0x00, sizeof(mbedtls_test_rnd_pseudo_info)); TEST_ASSERT(mbedtls_ecp_group_load(&grp, id) == 0); TEST_ASSERT(mbedtls_ecp_check_pubkey(&grp, &grp.G) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&dA, dA_hex) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&dB, dB_hex) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&xA, xA_hex) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&xB, xB_hex) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&xS, xS_hex) == 0); TEST_ASSERT(mbedtls_ecp_mul(&grp, &R, &dA, &grp.G, &mbedtls_test_rnd_pseudo_rand, &rnd_info) == 0); TEST_ASSERT(mbedtls_ecp_check_pubkey(&grp, &R) == 0); TEST_ASSERT(mbedtls_mpi_cmp_mpi(&R.X, &xA) == 0); TEST_ASSERT(mbedtls_ecp_mul(&grp, &R, &dB, &R, &mbedtls_test_rnd_pseudo_rand, &rnd_info) == 0); TEST_ASSERT(mbedtls_ecp_check_pubkey(&grp, &R) == 0); TEST_ASSERT(mbedtls_mpi_cmp_mpi(&R.X, &xS) == 0); TEST_ASSERT(mbedtls_ecp_mul(&grp, &R, &dB, &grp.G, &mbedtls_test_rnd_pseudo_rand, &rnd_info) == 0); TEST_ASSERT(mbedtls_ecp_check_pubkey(&grp, &R) == 0); TEST_ASSERT(mbedtls_mpi_cmp_mpi(&R.X, &xB) == 0); TEST_ASSERT(mbedtls_ecp_mul(&grp, &R, &dA, &R, &mbedtls_test_rnd_pseudo_rand, &rnd_info) == 0); TEST_ASSERT(mbedtls_ecp_check_pubkey(&grp, &R) == 0); TEST_ASSERT(mbedtls_mpi_cmp_mpi(&R.X, &xS) == 0); exit: mbedtls_ecp_group_free(&grp); mbedtls_ecp_point_free(&R); mbedtls_mpi_free(&dA); mbedtls_mpi_free(&xA); mbedtls_mpi_free(&dB); mbedtls_mpi_free(&xB); mbedtls_mpi_free(&xS); } /* END_CASE */ /* BEGIN_CASE depends_on:MBEDTLS_ECP_C */ void ecp_test_mul(int id, data_t *n_hex, data_t *Px_hex, data_t *Py_hex, data_t *Pz_hex, data_t *nPx_hex, data_t *nPy_hex, data_t *nPz_hex, int expected_ret) { mbedtls_ecp_group grp; mbedtls_ecp_point P, nP, R; mbedtls_mpi n; mbedtls_test_rnd_pseudo_info rnd_info; mbedtls_ecp_group_init(&grp); mbedtls_ecp_point_init(&R); mbedtls_ecp_point_init(&P); mbedtls_ecp_point_init(&nP); mbedtls_mpi_init(&n); memset(&rnd_info, 0x00, sizeof(mbedtls_test_rnd_pseudo_info)); TEST_ASSERT(mbedtls_ecp_group_load(&grp, id) == 0); TEST_ASSERT(mbedtls_ecp_check_pubkey(&grp, &grp.G) == 0); TEST_ASSERT(mbedtls_mpi_read_binary(&n, n_hex->x, n_hex->len) == 0); TEST_ASSERT(mbedtls_mpi_read_binary(&P.X, Px_hex->x, Px_hex->len) == 0); TEST_ASSERT(mbedtls_mpi_read_binary(&P.Y, Py_hex->x, Py_hex->len) == 0); TEST_ASSERT(mbedtls_mpi_read_binary(&P.Z, Pz_hex->x, Pz_hex->len) == 0); TEST_ASSERT(mbedtls_mpi_read_binary(&nP.X, nPx_hex->x, nPx_hex->len) == 0); TEST_ASSERT(mbedtls_mpi_read_binary(&nP.Y, nPy_hex->x, nPy_hex->len) == 0); TEST_ASSERT(mbedtls_mpi_read_binary(&nP.Z, nPz_hex->x, nPz_hex->len) == 0); TEST_ASSERT(mbedtls_ecp_mul(&grp, &R, &n, &P, &mbedtls_test_rnd_pseudo_rand, &rnd_info) == expected_ret); if (expected_ret == 0) { TEST_ASSERT(mbedtls_mpi_cmp_mpi(&nP.X, &R.X) == 0); TEST_ASSERT(mbedtls_mpi_cmp_mpi(&nP.Y, &R.Y) == 0); TEST_ASSERT(mbedtls_mpi_cmp_mpi(&nP.Z, &R.Z) == 0); } exit: mbedtls_ecp_group_free(&grp); mbedtls_ecp_point_free(&R); mbedtls_ecp_point_free(&P); mbedtls_ecp_point_free(&nP); mbedtls_mpi_free(&n); } /* END_CASE */ /* BEGIN_CASE depends_on:MBEDTLS_ECP_C */ void ecp_test_mul_rng(int id, data_t *d_hex) { mbedtls_ecp_group grp; mbedtls_mpi d; mbedtls_ecp_point Q; mbedtls_ecp_group_init(&grp); mbedtls_mpi_init(&d); mbedtls_ecp_point_init(&Q); TEST_ASSERT(mbedtls_ecp_group_load(&grp, id) == 0); TEST_ASSERT(mbedtls_ecp_check_pubkey(&grp, &grp.G) == 0); TEST_ASSERT(mbedtls_mpi_read_binary(&d, d_hex->x, d_hex->len) == 0); TEST_ASSERT(mbedtls_ecp_mul(&grp, &Q, &d, &grp.G, &mbedtls_test_rnd_zero_rand, NULL) == MBEDTLS_ERR_ECP_RANDOM_FAILED); exit: mbedtls_ecp_group_free(&grp); mbedtls_mpi_free(&d); mbedtls_ecp_point_free(&Q); } /* END_CASE */ /* BEGIN_CASE depends_on:MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED:MBEDTLS_ECP_C */ void ecp_muladd(int id, data_t *u1_bin, data_t *P1_bin, data_t *u2_bin, data_t *P2_bin, data_t *expected_result) { /* Compute R = u1 * P1 + u2 * P2 */ mbedtls_ecp_group grp; mbedtls_ecp_point P1, P2, R; mbedtls_mpi u1, u2; uint8_t actual_result[MBEDTLS_ECP_MAX_PT_LEN]; size_t len; mbedtls_ecp_group_init(&grp); mbedtls_ecp_point_init(&P1); mbedtls_ecp_point_init(&P2); mbedtls_ecp_point_init(&R); mbedtls_mpi_init(&u1); mbedtls_mpi_init(&u2); TEST_EQUAL(0, mbedtls_ecp_group_load(&grp, id)); TEST_EQUAL(0, mbedtls_mpi_read_binary(&u1, u1_bin->x, u1_bin->len)); TEST_EQUAL(0, mbedtls_mpi_read_binary(&u2, u2_bin->x, u2_bin->len)); TEST_EQUAL(0, mbedtls_ecp_point_read_binary(&grp, &P1, P1_bin->x, P1_bin->len)); TEST_EQUAL(0, mbedtls_ecp_point_read_binary(&grp, &P2, P2_bin->x, P2_bin->len)); TEST_EQUAL(0, mbedtls_ecp_muladd(&grp, &R, &u1, &P1, &u2, &P2)); TEST_EQUAL(0, mbedtls_ecp_point_write_binary( &grp, &R, MBEDTLS_ECP_PF_UNCOMPRESSED, &len, actual_result, sizeof(actual_result))); TEST_ASSERT(len <= MBEDTLS_ECP_MAX_PT_LEN); ASSERT_COMPARE(expected_result->x, expected_result->len, actual_result, len); exit: mbedtls_ecp_group_free(&grp); mbedtls_ecp_point_free(&P1); mbedtls_ecp_point_free(&P2); mbedtls_ecp_point_free(&R); mbedtls_mpi_free(&u1); mbedtls_mpi_free(&u2); } /* END_CASE */ /* BEGIN_CASE */ void ecp_fast_mod(int id, char *N_str) { mbedtls_ecp_group grp; mbedtls_mpi N, R; mbedtls_mpi_init(&N); mbedtls_mpi_init(&R); mbedtls_ecp_group_init(&grp); TEST_ASSERT(mbedtls_test_read_mpi(&N, N_str) == 0); TEST_ASSERT(mbedtls_ecp_group_load(&grp, id) == 0); TEST_ASSERT(grp.modp != NULL); /* * Store correct result before we touch N */ TEST_ASSERT(mbedtls_mpi_mod_mpi(&R, &N, &grp.P) == 0); TEST_ASSERT(grp.modp(&N) == 0); TEST_ASSERT(mbedtls_mpi_bitlen(&N) <= grp.pbits + 3); /* * Use mod rather than addition/subtraction in case previous test fails */ TEST_ASSERT(mbedtls_mpi_mod_mpi(&N, &N, &grp.P) == 0); TEST_ASSERT(mbedtls_mpi_cmp_mpi(&N, &R) == 0); exit: mbedtls_mpi_free(&N); mbedtls_mpi_free(&R); mbedtls_ecp_group_free(&grp); } /* END_CASE */ /* BEGIN_CASE */ void ecp_write_binary(int id, char *x, char *y, char *z, int format, data_t *out, int blen, int ret) { mbedtls_ecp_group grp; mbedtls_ecp_point P; unsigned char buf[256]; size_t olen; memset(buf, 0, sizeof(buf)); mbedtls_ecp_group_init(&grp); mbedtls_ecp_point_init(&P); TEST_ASSERT(mbedtls_ecp_group_load(&grp, id) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&P.X, x) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&P.Y, y) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&P.Z, z) == 0); TEST_ASSERT(mbedtls_ecp_point_write_binary(&grp, &P, format, &olen, buf, blen) == ret); if (ret == 0) { TEST_ASSERT(olen <= MBEDTLS_ECP_MAX_PT_LEN); TEST_ASSERT(mbedtls_test_hexcmp(buf, out->x, olen, out->len) == 0); } exit: mbedtls_ecp_group_free(&grp); mbedtls_ecp_point_free(&P); } /* END_CASE */ /* BEGIN_CASE */ void ecp_read_binary(int id, data_t *buf, char *x, char *y, char *z, int ret) { mbedtls_ecp_group grp; mbedtls_ecp_point P; mbedtls_mpi X, Y, Z; mbedtls_ecp_group_init(&grp); mbedtls_ecp_point_init(&P); mbedtls_mpi_init(&X); mbedtls_mpi_init(&Y); mbedtls_mpi_init(&Z); TEST_ASSERT(mbedtls_ecp_group_load(&grp, id) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&X, x) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&Y, y) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&Z, z) == 0); TEST_ASSERT(mbedtls_ecp_point_read_binary(&grp, &P, buf->x, buf->len) == ret); if (ret == 0) { TEST_ASSERT(mbedtls_mpi_cmp_mpi(&P.X, &X) == 0); if (mbedtls_ecp_get_type(&grp) == MBEDTLS_ECP_TYPE_MONTGOMERY) { TEST_ASSERT(mbedtls_mpi_cmp_int(&Y, 0) == 0); TEST_ASSERT(P.Y.p == NULL); TEST_ASSERT(mbedtls_mpi_cmp_int(&Z, 1) == 0); TEST_ASSERT(mbedtls_mpi_cmp_int(&P.Z, 1) == 0); } else { TEST_ASSERT(mbedtls_mpi_cmp_mpi(&P.Y, &Y) == 0); TEST_ASSERT(mbedtls_mpi_cmp_mpi(&P.Z, &Z) == 0); if (buf->x[0] == 0x04 && /* (reading compressed format supported only for * Short Weierstrass curves with prime p where p = 3 mod 4) */ id != MBEDTLS_ECP_DP_SECP224R1 && id != MBEDTLS_ECP_DP_SECP224K1) { /* re-encode in compressed format and test read again */ mbedtls_mpi_free(&P.Y); buf->x[0] = 0x02 + mbedtls_mpi_get_bit(&Y, 0); TEST_ASSERT(mbedtls_ecp_point_read_binary(&grp, &P, buf->x, buf->len/2+1) == 0); TEST_ASSERT(mbedtls_mpi_cmp_mpi(&P.Y, &Y) == 0); } } } exit: mbedtls_ecp_group_free(&grp); mbedtls_ecp_point_free(&P); mbedtls_mpi_free(&X); mbedtls_mpi_free(&Y); mbedtls_mpi_free(&Z); } /* END_CASE */ /* BEGIN_CASE */ void mbedtls_ecp_tls_read_point(int id, data_t *buf, char *x, char *y, char *z, int ret) { mbedtls_ecp_group grp; mbedtls_ecp_point P; mbedtls_mpi X, Y, Z; const unsigned char *vbuf = buf->x; mbedtls_ecp_group_init(&grp); mbedtls_ecp_point_init(&P); mbedtls_mpi_init(&X); mbedtls_mpi_init(&Y); mbedtls_mpi_init(&Z); TEST_ASSERT(mbedtls_ecp_group_load(&grp, id) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&X, x) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&Y, y) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&Z, z) == 0); TEST_ASSERT(mbedtls_ecp_tls_read_point(&grp, &P, &vbuf, buf->len) == ret); if (ret == 0) { TEST_ASSERT(mbedtls_mpi_cmp_mpi(&P.X, &X) == 0); TEST_ASSERT(mbedtls_mpi_cmp_mpi(&P.Y, &Y) == 0); TEST_ASSERT(mbedtls_mpi_cmp_mpi(&P.Z, &Z) == 0); TEST_ASSERT((uint32_t) (vbuf - buf->x) == buf->len); } exit: mbedtls_ecp_group_free(&grp); mbedtls_ecp_point_free(&P); mbedtls_mpi_free(&X); mbedtls_mpi_free(&Y); mbedtls_mpi_free(&Z); } /* END_CASE */ /* BEGIN_CASE */ void ecp_tls_write_read_point(int id) { mbedtls_ecp_group grp; mbedtls_ecp_point pt; unsigned char buf[256]; const unsigned char *vbuf; size_t olen; mbedtls_ecp_group_init(&grp); mbedtls_ecp_point_init(&pt); TEST_ASSERT(mbedtls_ecp_group_load(&grp, id) == 0); memset(buf, 0x00, sizeof(buf)); vbuf = buf; TEST_ASSERT(mbedtls_ecp_tls_write_point(&grp, &grp.G, MBEDTLS_ECP_PF_COMPRESSED, &olen, buf, 256) == 0); TEST_ASSERT(mbedtls_ecp_tls_read_point(&grp, &pt, &vbuf, olen) == 0); TEST_ASSERT(mbedtls_mpi_cmp_mpi(&grp.G.X, &pt.X) == 0); TEST_ASSERT(mbedtls_mpi_cmp_mpi(&grp.G.Y, &pt.Y) == 0); TEST_ASSERT(mbedtls_mpi_cmp_mpi(&grp.G.Z, &pt.Z) == 0); TEST_ASSERT(vbuf == buf + olen); memset(buf, 0x00, sizeof(buf)); vbuf = buf; TEST_ASSERT(mbedtls_ecp_tls_write_point(&grp, &grp.G, MBEDTLS_ECP_PF_UNCOMPRESSED, &olen, buf, 256) == 0); TEST_ASSERT(mbedtls_ecp_tls_read_point(&grp, &pt, &vbuf, olen) == 0); TEST_ASSERT(mbedtls_mpi_cmp_mpi(&grp.G.X, &pt.X) == 0); TEST_ASSERT(mbedtls_mpi_cmp_mpi(&grp.G.Y, &pt.Y) == 0); TEST_ASSERT(mbedtls_mpi_cmp_mpi(&grp.G.Z, &pt.Z) == 0); TEST_ASSERT(vbuf == buf + olen); memset(buf, 0x00, sizeof(buf)); vbuf = buf; TEST_ASSERT(mbedtls_ecp_set_zero(&pt) == 0); TEST_ASSERT(mbedtls_ecp_tls_write_point(&grp, &pt, MBEDTLS_ECP_PF_COMPRESSED, &olen, buf, 256) == 0); TEST_ASSERT(mbedtls_ecp_tls_read_point(&grp, &pt, &vbuf, olen) == 0); TEST_ASSERT(mbedtls_ecp_is_zero(&pt)); TEST_ASSERT(vbuf == buf + olen); memset(buf, 0x00, sizeof(buf)); vbuf = buf; TEST_ASSERT(mbedtls_ecp_set_zero(&pt) == 0); TEST_ASSERT(mbedtls_ecp_tls_write_point(&grp, &pt, MBEDTLS_ECP_PF_UNCOMPRESSED, &olen, buf, 256) == 0); TEST_ASSERT(mbedtls_ecp_tls_read_point(&grp, &pt, &vbuf, olen) == 0); TEST_ASSERT(mbedtls_ecp_is_zero(&pt)); TEST_ASSERT(vbuf == buf + olen); exit: mbedtls_ecp_group_free(&grp); mbedtls_ecp_point_free(&pt); } /* END_CASE */ /* BEGIN_CASE */ void mbedtls_ecp_tls_read_group(data_t *buf, int result, int bits, int record_len) { mbedtls_ecp_group grp; const unsigned char *vbuf = buf->x; int ret; mbedtls_ecp_group_init(&grp); ret = mbedtls_ecp_tls_read_group(&grp, &vbuf, buf->len); TEST_ASSERT(ret == result); if (ret == 0) { TEST_ASSERT(mbedtls_mpi_bitlen(&grp.P) == (size_t) bits); TEST_ASSERT(vbuf - buf->x == record_len); } exit: mbedtls_ecp_group_free(&grp); } /* END_CASE */ /* BEGIN_CASE */ void ecp_tls_write_read_group(int id) { mbedtls_ecp_group grp1, grp2; unsigned char buf[10]; const unsigned char *vbuf = buf; size_t len; int ret; mbedtls_ecp_group_init(&grp1); mbedtls_ecp_group_init(&grp2); memset(buf, 0x00, sizeof(buf)); TEST_ASSERT(mbedtls_ecp_group_load(&grp1, id) == 0); TEST_ASSERT(mbedtls_ecp_tls_write_group(&grp1, &len, buf, 10) == 0); ret = mbedtls_ecp_tls_read_group(&grp2, &vbuf, len); TEST_ASSERT(ret == 0); if (ret == 0) { TEST_ASSERT(mbedtls_mpi_cmp_mpi(&grp1.N, &grp2.N) == 0); TEST_ASSERT(grp1.id == grp2.id); } exit: mbedtls_ecp_group_free(&grp1); mbedtls_ecp_group_free(&grp2); } /* END_CASE */ /* BEGIN_CASE */ void mbedtls_ecp_group_metadata(int id, int bit_size, int crv_type, char *P, char *A, char *B, char *G_x, char *G_y, char *N, int tls_id) { mbedtls_ecp_group grp, grp_read, grp_cpy; const mbedtls_ecp_group_id *g_id; mbedtls_ecp_group_id read_g_id; const mbedtls_ecp_curve_info *crv, *crv_tls_id, *crv_name; mbedtls_mpi exp_P, exp_A, exp_B, exp_G_x, exp_G_y, exp_N; unsigned char buf[3], ecparameters[3] = { 3, 0, tls_id }; const unsigned char *vbuf = buf; size_t olen; mbedtls_ecp_group_init(&grp); mbedtls_ecp_group_init(&grp_read); mbedtls_ecp_group_init(&grp_cpy); mbedtls_mpi_init(&exp_P); mbedtls_mpi_init(&exp_A); mbedtls_mpi_init(&exp_B); mbedtls_mpi_init(&exp_G_x); mbedtls_mpi_init(&exp_G_y); mbedtls_mpi_init(&exp_N); // Read expected parameters TEST_EQUAL(mbedtls_test_read_mpi(&exp_P, P), 0); TEST_EQUAL(mbedtls_test_read_mpi(&exp_A, A), 0); TEST_EQUAL(mbedtls_test_read_mpi(&exp_G_x, G_x), 0); TEST_EQUAL(mbedtls_test_read_mpi(&exp_N, N), 0); TEST_EQUAL(mbedtls_test_read_mpi(&exp_B, B), 0); TEST_EQUAL(mbedtls_test_read_mpi(&exp_G_y, G_y), 0); // Convert exp_A to internal representation (A+2)/4 if (crv_type == MBEDTLS_ECP_TYPE_MONTGOMERY) { TEST_EQUAL(mbedtls_mpi_add_int(&exp_A, &exp_A, 2), 0); TEST_EQUAL(mbedtls_mpi_div_int(&exp_A, NULL, &exp_A, 4), 0); } // Load group TEST_EQUAL(mbedtls_ecp_group_load(&grp, id), 0); // Compare group with expected parameters // A is NULL for SECPxxxR1 curves // B and G_y are NULL for curve25519 and curve448 TEST_EQUAL(mbedtls_mpi_cmp_mpi(&exp_P, &grp.P), 0); if (*A != 0) { TEST_EQUAL(mbedtls_mpi_cmp_mpi(&exp_A, &grp.A), 0); } if (*B != 0) { TEST_EQUAL(mbedtls_mpi_cmp_mpi(&exp_B, &grp.B), 0); } TEST_EQUAL(mbedtls_mpi_cmp_mpi(&exp_G_x, &grp.G.X), 0); if (*G_y != 0) { TEST_EQUAL(mbedtls_mpi_cmp_mpi(&exp_G_y, &grp.G.Y), 0); } TEST_EQUAL(mbedtls_mpi_cmp_mpi(&exp_N, &grp.N), 0); // Load curve info and compare with known values crv = mbedtls_ecp_curve_info_from_grp_id(id); TEST_EQUAL(crv->grp_id, id); TEST_EQUAL(crv->bit_size, bit_size); TEST_EQUAL(crv->tls_id, tls_id); // Load curve from TLS ID and name, and compare IDs crv_tls_id = mbedtls_ecp_curve_info_from_tls_id(crv->tls_id); crv_name = mbedtls_ecp_curve_info_from_name(crv->name); TEST_EQUAL(crv_tls_id->grp_id, id); TEST_EQUAL(crv_name->grp_id, id); // Validate write_group against test data TEST_EQUAL(mbedtls_ecp_tls_write_group(&grp, &olen, buf, sizeof(buf)), 0); TEST_EQUAL(mbedtls_test_hexcmp(buf, ecparameters, olen, sizeof(ecparameters)), 0); // Read group from buffer and compare with expected ID TEST_EQUAL(mbedtls_ecp_tls_read_group_id(&read_g_id, &vbuf, olen), 0); TEST_EQUAL(read_g_id, id); vbuf = buf; TEST_EQUAL(mbedtls_ecp_tls_read_group(&grp_read, &vbuf, olen), 0); TEST_EQUAL(grp_read.id, id); // Check curve type, and if it can be used for ECDH/ECDSA TEST_EQUAL(mbedtls_ecp_get_type(&grp), crv_type); #if defined(MBEDTLS_ECDH_C) TEST_EQUAL(mbedtls_ecdh_can_do(id), 1); #endif #if defined(MBEDTLS_ECDSA_C) TEST_EQUAL(mbedtls_ecdsa_can_do(id), crv_type == MBEDTLS_ECP_TYPE_SHORT_WEIERSTRASS); #endif // Copy group and compare with original TEST_EQUAL(mbedtls_ecp_group_copy(&grp_cpy, &grp), 0); TEST_EQUAL(mbedtls_ecp_group_cmp(&grp, &grp_cpy), 0); // Check curve is in curve list and group ID list for (crv = mbedtls_ecp_curve_list(); crv->grp_id != MBEDTLS_ECP_DP_NONE && crv->grp_id != (unsigned) id; crv++) { ; } TEST_EQUAL(crv->grp_id, id); for (g_id = mbedtls_ecp_grp_id_list(); *g_id != MBEDTLS_ECP_DP_NONE && *g_id != (unsigned) id; g_id++) { ; } TEST_EQUAL(*g_id, (unsigned) id); exit: mbedtls_ecp_group_free(&grp); mbedtls_ecp_group_free(&grp_cpy); mbedtls_ecp_group_free(&grp_read); mbedtls_mpi_free(&exp_P); mbedtls_mpi_free(&exp_A); mbedtls_mpi_free(&exp_B); mbedtls_mpi_free(&exp_G_x); mbedtls_mpi_free(&exp_G_y); mbedtls_mpi_free(&exp_N); } /* END_CASE */ /* BEGIN_CASE */ void mbedtls_ecp_check_privkey(int id, char *key_hex, int ret) { mbedtls_ecp_group grp; mbedtls_mpi d; mbedtls_ecp_group_init(&grp); mbedtls_mpi_init(&d); TEST_ASSERT(mbedtls_ecp_group_load(&grp, id) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&d, key_hex) == 0); TEST_ASSERT(mbedtls_ecp_check_privkey(&grp, &d) == ret); exit: mbedtls_ecp_group_free(&grp); mbedtls_mpi_free(&d); } /* END_CASE */ /* BEGIN_CASE depends_on:MBEDTLS_ECP_C */ void mbedtls_ecp_check_pub_priv(int id_pub, char *Qx_pub, char *Qy_pub, int id, char *d, char *Qx, char *Qy, int ret) { mbedtls_ecp_keypair pub, prv; mbedtls_test_rnd_pseudo_info rnd_info; mbedtls_ecp_keypair_init(&pub); mbedtls_ecp_keypair_init(&prv); memset(&rnd_info, 0x00, sizeof(mbedtls_test_rnd_pseudo_info)); if (id_pub != MBEDTLS_ECP_DP_NONE) { TEST_ASSERT(mbedtls_ecp_group_load(&pub.grp, id_pub) == 0); } TEST_ASSERT(mbedtls_ecp_point_read_string(&pub.Q, 16, Qx_pub, Qy_pub) == 0); if (id != MBEDTLS_ECP_DP_NONE) { TEST_ASSERT(mbedtls_ecp_group_load(&prv.grp, id) == 0); } TEST_ASSERT(mbedtls_ecp_point_read_string(&prv.Q, 16, Qx, Qy) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&prv.d, d) == 0); TEST_ASSERT(mbedtls_ecp_check_pub_priv(&pub, &prv, &mbedtls_test_rnd_pseudo_rand, &rnd_info) == ret); exit: mbedtls_ecp_keypair_free(&pub); mbedtls_ecp_keypair_free(&prv); } /* END_CASE */ /* BEGIN_CASE depends_on:MBEDTLS_ECP_C */ void mbedtls_ecp_gen_keypair(int id) { mbedtls_ecp_group grp; mbedtls_ecp_point Q; mbedtls_mpi d; mbedtls_test_rnd_pseudo_info rnd_info; mbedtls_ecp_group_init(&grp); mbedtls_ecp_point_init(&Q); mbedtls_mpi_init(&d); memset(&rnd_info, 0x00, sizeof(mbedtls_test_rnd_pseudo_info)); TEST_ASSERT(mbedtls_ecp_group_load(&grp, id) == 0); TEST_ASSERT(mbedtls_ecp_gen_keypair(&grp, &d, &Q, &mbedtls_test_rnd_pseudo_rand, &rnd_info) == 0); TEST_ASSERT(mbedtls_ecp_check_pubkey(&grp, &Q) == 0); TEST_ASSERT(mbedtls_ecp_check_privkey(&grp, &d) == 0); exit: mbedtls_ecp_group_free(&grp); mbedtls_ecp_point_free(&Q); mbedtls_mpi_free(&d); } /* END_CASE */ /* BEGIN_CASE depends_on:MBEDTLS_ECP_C */ void mbedtls_ecp_gen_key(int id) { mbedtls_ecp_keypair key; mbedtls_test_rnd_pseudo_info rnd_info; mbedtls_ecp_keypair_init(&key); memset(&rnd_info, 0x00, sizeof(mbedtls_test_rnd_pseudo_info)); TEST_ASSERT(mbedtls_ecp_gen_key(id, &key, &mbedtls_test_rnd_pseudo_rand, &rnd_info) == 0); TEST_ASSERT(mbedtls_ecp_check_pubkey(&key.grp, &key.Q) == 0); TEST_ASSERT(mbedtls_ecp_check_privkey(&key.grp, &key.d) == 0); exit: mbedtls_ecp_keypair_free(&key); } /* END_CASE */ /* BEGIN_CASE */ void mbedtls_ecp_read_key(int grp_id, data_t *in_key, int expected, int canonical) { int ret = 0; mbedtls_ecp_keypair key; mbedtls_ecp_keypair key2; mbedtls_ecp_keypair_init(&key); mbedtls_ecp_keypair_init(&key2); ret = mbedtls_ecp_read_key(grp_id, &key, in_key->x, in_key->len); TEST_ASSERT(ret == expected); if (expected == 0) { ret = mbedtls_ecp_check_privkey(&key.grp, &key.d); TEST_ASSERT(ret == 0); if (canonical) { unsigned char buf[MBEDTLS_ECP_MAX_BYTES]; ret = mbedtls_ecp_write_key(&key, buf, in_key->len); TEST_ASSERT(ret == 0); ASSERT_COMPARE(in_key->x, in_key->len, buf, in_key->len); } else { unsigned char export1[MBEDTLS_ECP_MAX_BYTES]; unsigned char export2[MBEDTLS_ECP_MAX_BYTES]; ret = mbedtls_ecp_write_key(&key, export1, in_key->len); TEST_ASSERT(ret == 0); ret = mbedtls_ecp_read_key(grp_id, &key2, export1, in_key->len); TEST_ASSERT(ret == expected); ret = mbedtls_ecp_write_key(&key2, export2, in_key->len); TEST_ASSERT(ret == 0); ASSERT_COMPARE(export1, in_key->len, export2, in_key->len); } } exit: mbedtls_ecp_keypair_free(&key); mbedtls_ecp_keypair_free(&key2); } /* END_CASE */ /* BEGIN_CASE depends_on:MBEDTLS_TEST_HOOKS:MBEDTLS_ECP_MONTGOMERY_ENABLED:MBEDTLS_ECP_LIGHT */ void genkey_mx_known_answer(int bits, data_t *seed, data_t *expected) { mbedtls_test_rnd_buf_info rnd_info; mbedtls_mpi d; int ret; uint8_t *actual = NULL; mbedtls_mpi_init(&d); rnd_info.buf = seed->x; rnd_info.length = seed->len; rnd_info.fallback_f_rng = NULL; rnd_info.fallback_p_rng = NULL; ASSERT_ALLOC(actual, expected->len); ret = mbedtls_ecp_gen_privkey_mx(bits, &d, mbedtls_test_rnd_buffer_rand, &rnd_info); if (expected->len == 0) { /* Expecting an error (happens if there isn't enough randomness) */ TEST_ASSERT(ret != 0); } else { TEST_EQUAL(ret, 0); TEST_EQUAL((size_t) bits + 1, mbedtls_mpi_bitlen(&d)); TEST_EQUAL(0, mbedtls_mpi_write_binary(&d, actual, expected->len)); /* Test the exact result. This assumes that the output of the * RNG is used in a specific way, which is overly constraining. * The advantage is that it's easier to test the expected properties * of the generated key: * - The most significant bit must be at a specific positions * (can be enforced by checking the bit-length). * - The least significant bits must have specific values * (can be enforced by checking these bits). * - Other bits must be random (by testing with different RNG outputs, * we validate that those bits are indeed influenced by the RNG). */ ASSERT_COMPARE(expected->x, expected->len, actual, expected->len); } exit: mbedtls_free(actual); mbedtls_mpi_free(&d); } /* END_CASE */ /* BEGIN_CASE */ void ecp_set_zero(int id, data_t *P_bin) { mbedtls_ecp_group grp; mbedtls_ecp_point pt, zero_pt, nonzero_pt; mbedtls_ecp_group_init(&grp); mbedtls_ecp_point_init(&pt); mbedtls_ecp_point_init(&zero_pt); mbedtls_ecp_point_init(&nonzero_pt); // Set zero and non-zero points for comparison TEST_EQUAL(mbedtls_ecp_set_zero(&zero_pt), 0); TEST_EQUAL(mbedtls_ecp_group_load(&grp, id), 0); TEST_EQUAL(mbedtls_ecp_point_read_binary(&grp, &nonzero_pt, P_bin->x, P_bin->len), 0); TEST_EQUAL(mbedtls_ecp_is_zero(&zero_pt), 1); TEST_EQUAL(mbedtls_ecp_is_zero(&nonzero_pt), 0); // Test initialized point TEST_EQUAL(mbedtls_ecp_set_zero(&pt), 0); TEST_EQUAL(mbedtls_ecp_is_zero(&pt), 1); TEST_EQUAL(mbedtls_ecp_point_cmp(&zero_pt, &pt), 0); TEST_EQUAL(mbedtls_ecp_point_cmp(&nonzero_pt, &zero_pt), MBEDTLS_ERR_ECP_BAD_INPUT_DATA); // Test zeroed point TEST_EQUAL(mbedtls_ecp_set_zero(&pt), 0); TEST_EQUAL(mbedtls_ecp_is_zero(&pt), 1); TEST_EQUAL(mbedtls_ecp_point_cmp(&zero_pt, &pt), 0); TEST_EQUAL(mbedtls_ecp_point_cmp(&nonzero_pt, &pt), MBEDTLS_ERR_ECP_BAD_INPUT_DATA); // Set point to non-zero value TEST_EQUAL(mbedtls_ecp_point_read_binary(&grp, &pt, P_bin->x, P_bin->len), 0); TEST_EQUAL(mbedtls_ecp_is_zero(&pt), 0); TEST_EQUAL(mbedtls_ecp_point_cmp(&zero_pt, &pt), MBEDTLS_ERR_ECP_BAD_INPUT_DATA); TEST_EQUAL(mbedtls_ecp_point_cmp(&nonzero_pt, &pt), 0); // Test non-zero point TEST_EQUAL(mbedtls_ecp_set_zero(&pt), 0); TEST_EQUAL(mbedtls_ecp_is_zero(&pt), 1); TEST_EQUAL(mbedtls_ecp_point_cmp(&zero_pt, &pt), 0); TEST_EQUAL(mbedtls_ecp_point_cmp(&nonzero_pt, &pt), MBEDTLS_ERR_ECP_BAD_INPUT_DATA); // Test freed non-zero point TEST_EQUAL(mbedtls_ecp_point_read_binary(&grp, &pt, P_bin->x, P_bin->len), 0); mbedtls_ecp_point_free(&pt); TEST_EQUAL(mbedtls_ecp_set_zero(&pt), 0); TEST_EQUAL(mbedtls_ecp_is_zero(&pt), 1); TEST_EQUAL(mbedtls_ecp_point_cmp(&zero_pt, &pt), 0); TEST_EQUAL(mbedtls_ecp_point_cmp(&nonzero_pt, &pt), MBEDTLS_ERR_ECP_BAD_INPUT_DATA); exit: mbedtls_ecp_group_free(&grp); mbedtls_ecp_point_free(&pt); mbedtls_ecp_point_free(&zero_pt); mbedtls_ecp_point_free(&nonzero_pt); } /* END_CASE */ /* BEGIN_CASE depends_on:MBEDTLS_SELF_TEST */ void ecp_selftest() { TEST_ASSERT(mbedtls_ecp_self_test(1) == 0); } /* END_CASE */ /* BEGIN_CASE */ void ecp_export(int id, char *Qx, char *Qy, char *d, int expected_ret, int invalid_grp) { mbedtls_ecp_keypair key; mbedtls_ecp_group export_grp; mbedtls_mpi export_d; mbedtls_ecp_point export_Q; mbedtls_ecp_group_init(&export_grp); mbedtls_ecp_group_init(&key.grp); mbedtls_mpi_init(&export_d); mbedtls_ecp_point_init(&export_Q); mbedtls_ecp_keypair_init(&key); if (invalid_grp == 0) { TEST_ASSERT(mbedtls_ecp_group_load(&key.grp, id) == 0); } TEST_ASSERT(mbedtls_ecp_point_read_string(&key.Q, 16, Qx, Qy) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&key.d, d) == 0); TEST_EQUAL(mbedtls_ecp_export(&key, &export_grp, &export_d, &export_Q), expected_ret); if (expected_ret == 0) { TEST_EQUAL(mbedtls_ecp_point_cmp(&key.Q, &export_Q), 0); TEST_EQUAL(mbedtls_mpi_cmp_mpi(&key.d, &export_d), 0); TEST_EQUAL(mbedtls_ecp_group_cmp(&key.grp, &export_grp), 0); } exit: mbedtls_ecp_keypair_free(&key); mbedtls_ecp_group_free(&export_grp); mbedtls_mpi_free(&export_d); mbedtls_ecp_point_free(&export_Q); } /* END_CASE */ /* BEGIN_CASE */ void ecp_check_order(int id, char *expected_order_hex) { mbedtls_ecp_group grp; mbedtls_mpi expected_n; mbedtls_ecp_group_init(&grp); mbedtls_mpi_init(&expected_n); TEST_ASSERT(mbedtls_ecp_group_load(&grp, id) == 0); TEST_ASSERT(mbedtls_test_read_mpi(&expected_n, expected_order_hex) == 0); // check sign bits are well-formed (i.e. 1 or -1) - see #5810 TEST_ASSERT(grp.N.s == -1 || grp.N.s == 1); TEST_ASSERT(expected_n.s == -1 || expected_n.s == 1); TEST_ASSERT(mbedtls_mpi_cmp_mpi(&grp.N, &expected_n) == 0); exit: mbedtls_ecp_group_free(&grp); mbedtls_mpi_free(&expected_n); } /* END_CASE */ /* BEGIN_CASE depends_on:MBEDTLS_TEST_HOOKS */ void ecp_mod_p_generic_raw(int curve_id, char *input_N, char *input_X, char *result) { mbedtls_mpi_uint *X = NULL; mbedtls_mpi_uint *N = NULL; mbedtls_mpi_uint *res = NULL; size_t limbs_X; size_t limbs_N; size_t limbs_res; size_t bytes; size_t limbs; size_t curve_bits; int (*curve_func)(mbedtls_mpi_uint *X, size_t X_limbs); mbedtls_mpi_mod_modulus m; mbedtls_mpi_mod_modulus_init(&m); TEST_EQUAL(mbedtls_test_read_mpi_core(&X, &limbs_X, input_X), 0); TEST_EQUAL(mbedtls_test_read_mpi_core(&N, &limbs_N, input_N), 0); TEST_EQUAL(mbedtls_test_read_mpi_core(&res, &limbs_res, result), 0); bytes = limbs_N * sizeof(mbedtls_mpi_uint); switch (curve_id) { #if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED) && defined(MBEDTLS_ECP_NIST_OPTIM) case MBEDTLS_ECP_DP_SECP192R1: limbs = 2 * limbs_N; curve_bits = 192; curve_func = &mbedtls_ecp_mod_p192_raw; break; #endif #if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED) && defined(MBEDTLS_ECP_NIST_OPTIM) case MBEDTLS_ECP_DP_SECP224R1: limbs = 448 / biL; curve_bits = 224; curve_func = &mbedtls_ecp_mod_p224_raw; break; #endif #if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED) && defined(MBEDTLS_ECP_NIST_OPTIM) case MBEDTLS_ECP_DP_SECP256R1: limbs = 2 * limbs_N; curve_bits = 256; curve_func = &mbedtls_ecp_mod_p256_raw; break; #endif #if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED) && defined(MBEDTLS_ECP_NIST_OPTIM) case MBEDTLS_ECP_DP_SECP384R1: limbs = 2 * limbs_N; curve_bits = 384; curve_func = &mbedtls_ecp_mod_p384_raw; break; #endif #if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED) && defined(MBEDTLS_ECP_NIST_OPTIM) case MBEDTLS_ECP_DP_SECP521R1: limbs = 2 * limbs_N; curve_bits = 522; curve_func = &mbedtls_ecp_mod_p521_raw; break; #endif #if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED) case MBEDTLS_ECP_DP_SECP192K1: limbs = 2 * limbs_N; curve_bits = 192; curve_func = &mbedtls_ecp_mod_p192k1_raw; break; #endif #if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED) case MBEDTLS_ECP_DP_SECP224K1: limbs = 448 / biL; curve_bits = 224; curve_func = &mbedtls_ecp_mod_p224k1_raw; break; #endif #if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED) case MBEDTLS_ECP_DP_SECP256K1: limbs = 2 * limbs_N; curve_bits = 256; curve_func = &mbedtls_ecp_mod_p256k1_raw; break; #endif #if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED) case MBEDTLS_ECP_DP_CURVE25519: limbs = 2 * limbs_N; curve_bits = 255; curve_func = &mbedtls_ecp_mod_p255_raw; break; #endif #if defined(MBEDTLS_ECP_DP_CURVE448_ENABLED) case MBEDTLS_ECP_DP_CURVE448: limbs = 2 * limbs_N; curve_bits = 448; curve_func = &mbedtls_ecp_mod_p448_raw; break; #endif default: mbedtls_test_fail("Unsupported curve_id", __LINE__, __FILE__); goto exit; } TEST_EQUAL(limbs_X, limbs); TEST_EQUAL(limbs_res, limbs_N); TEST_EQUAL(mbedtls_mpi_mod_modulus_setup( &m, N, limbs_N), 0); TEST_EQUAL((*curve_func)(X, limbs_X), 0); TEST_LE_U(mbedtls_mpi_core_bitlen(X, limbs_X), curve_bits); mbedtls_mpi_mod_raw_fix_quasi_reduction(X, &m); ASSERT_COMPARE(X, bytes, res, bytes); exit: mbedtls_free(X); mbedtls_free(res); mbedtls_mpi_mod_modulus_free(&m); mbedtls_free(N); } /* END_CASE */ /* BEGIN_CASE depends_on:MBEDTLS_TEST_HOOKS */ void ecp_mod_setup(char *input_A, int id, int ctype, int iret) { int ret; mbedtls_mpi_mod_modulus m; mbedtls_mpi_mod_modulus_init(&m); mbedtls_mpi_uint *p = NULL; size_t p_limbs; size_t bytes; TEST_EQUAL(mbedtls_test_read_mpi_core(&p, &p_limbs, input_A), 0); ret = mbedtls_ecp_modulus_setup(&m, id, ctype); TEST_EQUAL(ret, iret); if (ret == 0) { TEST_ASSERT(m.int_rep != MBEDTLS_MPI_MOD_REP_INVALID); /* Test for limb sizes */ TEST_EQUAL(m.limbs, p_limbs); bytes = p_limbs * sizeof(mbedtls_mpi_uint); if (m.int_rep == MBEDTLS_MPI_MOD_REP_MONTGOMERY) { /* Test for validity of moduli by the presence of Montgomery consts */ TEST_ASSERT(m.rep.mont.mm != 0); TEST_ASSERT(m.rep.mont.rr != NULL); } else { TEST_ASSERT(m.rep.ored.modp != NULL); } /* Compare output byte-by-byte */ ASSERT_COMPARE(p, bytes, m.p, bytes); /* Test for user free-ing allocated memory */ mbedtls_mpi_mod_modulus_free(&m); } exit: mbedtls_mpi_mod_modulus_free(&m); mbedtls_free(p); } /* END_CASE */ /* BEGIN_CASE depends_on:MBEDTLS_TEST_HOOKS */ void ecp_mod_mul_inv(char *input_A, int id, int ctype) { size_t limbs; mbedtls_mpi_mod_modulus m; mbedtls_mpi_mod_residue rA; // For input mbedtls_mpi_mod_residue rA_inverse; // For inverse input mbedtls_mpi_mod_residue rX; // For result mbedtls_mpi_uint *rX_raw = NULL; mbedtls_mpi_uint *A_inverse = NULL; mbedtls_mpi_uint *A = NULL; mbedtls_mpi_uint *bufx = NULL; const mbedtls_mpi_uint one[1] = { 1 }; mbedtls_mpi_mod_modulus_init(&m); TEST_ASSERT(mbedtls_ecp_modulus_setup(&m, id, ctype) == 0); TEST_EQUAL(mbedtls_test_read_mpi_core(&A, &limbs, input_A), 0); TEST_EQUAL(0, mbedtls_mpi_mod_residue_setup(&rA, &m, A, limbs)); /* Test for limb sizes */ TEST_EQUAL(m.limbs, limbs); ASSERT_ALLOC(A_inverse, limbs); TEST_EQUAL(0, mbedtls_mpi_mod_residue_setup(&rA_inverse, &m, A_inverse, limbs)); ASSERT_ALLOC(rX_raw, limbs); TEST_EQUAL(0, mbedtls_mpi_mod_residue_setup(&rX, &m, rX_raw, limbs)); /* Get inverse of A mode m, and multiply it with itself, * to see whether the result equal to '1' */ TEST_EQUAL(0, mbedtls_mpi_mod_inv(&rA_inverse, &rA, &m)); TEST_EQUAL(mbedtls_mpi_mod_mul(&rX, &rA, &rA_inverse, &m), 0); ASSERT_ALLOC(bufx, limbs); TEST_EQUAL(mbedtls_mpi_mod_write(&rX, &m, (unsigned char *) bufx, limbs * ciL, MBEDTLS_MPI_MOD_EXT_REP_LE), 0); ASSERT_COMPARE(bufx, ciL, one, ciL); /*Borrow the buffer of A to compare the left lims with 0 */ memset(A, 0, limbs * ciL); ASSERT_COMPARE(&bufx[1], (limbs - 1) * ciL, A, (limbs - 1) * ciL); exit: mbedtls_mpi_mod_modulus_free(&m); mbedtls_mpi_mod_residue_release(&rA); mbedtls_mpi_mod_residue_release(&rA_inverse); mbedtls_mpi_mod_residue_release(&rX); mbedtls_free(A); mbedtls_free(A_inverse); mbedtls_free(rX_raw); mbedtls_free(bufx); } /* END_CASE */ /* BEGIN_CASE depends_on:MBEDTLS_TEST_HOOKS */ void ecp_mod_add_sub(char *input_A, char *input_B, int id, int ctype) { size_t p_A_limbs; size_t p_B_limbs; size_t bytes; mbedtls_mpi_mod_modulus m; mbedtls_mpi_mod_residue rA; mbedtls_mpi_mod_residue rB; mbedtls_mpi_mod_residue rS; mbedtls_mpi_uint *p_A = NULL; mbedtls_mpi_uint *p_B = NULL; mbedtls_mpi_uint *p_S = NULL; mbedtls_mpi_mod_modulus_init(&m); TEST_EQUAL(mbedtls_test_read_mpi_core(&p_A, &p_A_limbs, input_A), 0); TEST_EQUAL(mbedtls_test_read_mpi_core(&p_B, &p_B_limbs, input_B), 0); TEST_EQUAL(0, mbedtls_ecp_modulus_setup(&m, id, ctype)); /* Test for limb sizes for two input value and modulus */ TEST_EQUAL(p_A_limbs, p_B_limbs); TEST_EQUAL(m.limbs, p_A_limbs); bytes = p_A_limbs * ciL; ASSERT_ALLOC(p_S, p_A_limbs); TEST_EQUAL(mbedtls_mpi_mod_residue_setup(&rA, &m, p_A, p_A_limbs), 0); TEST_EQUAL(mbedtls_mpi_mod_residue_setup(&rB, &m, p_B, p_B_limbs), 0); TEST_EQUAL(mbedtls_mpi_mod_residue_setup(&rS, &m, p_S, p_A_limbs), 0); /* Firstly add A and B to get the sum S, then subtract B, * the difference should be equal to A*/ TEST_EQUAL(0, mbedtls_mpi_mod_add(&rS, &rA, &rB, &m)); TEST_EQUAL(0, mbedtls_mpi_mod_sub(&rS, &rS, &rB, &m)); /* Compare difference with rA byte-by-byte */ ASSERT_COMPARE(rA.p, bytes, rS.p, bytes); exit: mbedtls_mpi_mod_modulus_free(&m); mbedtls_mpi_mod_residue_release(&rA); mbedtls_mpi_mod_residue_release(&rB); mbedtls_mpi_mod_residue_release(&rS); mbedtls_free(p_A); mbedtls_free(p_B); mbedtls_free(p_S); } /* END_CASE */ /* BEGIN_CASE depends_on:MBEDTLS_TEST_HOOKS */ void ecp_mod_read_write(char *input_A, int id, int ctype) { size_t limbs; size_t bytes; mbedtls_mpi_mod_modulus m; mbedtls_mpi_mod_residue rA; // For input mbedtls_mpi_mod_residue rX; // For read back mbedtls_mpi_uint *rX_raw = NULL; mbedtls_mpi_uint *A = NULL; mbedtls_mpi_uint *bufx = NULL; mbedtls_mpi_mod_modulus_init(&m); TEST_EQUAL(0, mbedtls_ecp_modulus_setup(&m, id, ctype)); TEST_EQUAL(0, mbedtls_test_read_mpi_core(&A, &limbs, input_A)); TEST_EQUAL(0, mbedtls_mpi_mod_residue_setup(&rA, &m, A, limbs)); /* Test for limb sizes */ TEST_EQUAL(m.limbs, limbs); ASSERT_ALLOC(rX_raw, limbs); TEST_EQUAL(0, mbedtls_mpi_mod_residue_setup(&rX, &m, rX_raw, limbs)); bytes = limbs * ciL; ASSERT_ALLOC(bufx, limbs); /* Write source mod residue to a buffer, then read it back to * the destination mod residue, compare the two mod residues. * Firstly test little endian write and read */ TEST_EQUAL(0, mbedtls_mpi_mod_write(&rA, &m, (unsigned char *) bufx, bytes, MBEDTLS_MPI_MOD_EXT_REP_LE)); TEST_EQUAL(0, mbedtls_mpi_mod_read(&rX, &m, (unsigned char *) bufx, bytes, MBEDTLS_MPI_MOD_EXT_REP_LE)); TEST_EQUAL(limbs, rX.limbs); ASSERT_COMPARE(rA.p, bytes, rX.p, bytes); memset(bufx, 0x00, bytes); memset(rX_raw, 0x00, bytes); /* Then test big endian write and read */ TEST_EQUAL(0, mbedtls_mpi_mod_write(&rA, &m, (unsigned char *) bufx, bytes, MBEDTLS_MPI_MOD_EXT_REP_BE)); TEST_EQUAL(0, mbedtls_mpi_mod_read(&rX, &m, (unsigned char *) bufx, bytes, MBEDTLS_MPI_MOD_EXT_REP_BE)); TEST_EQUAL(limbs, rX.limbs); ASSERT_COMPARE(rA.p, bytes, rX.p, bytes); exit: mbedtls_mpi_mod_modulus_free(&m); mbedtls_mpi_mod_residue_release(&rA); mbedtls_mpi_mod_residue_release(&rX); mbedtls_free(A); mbedtls_free(rX_raw); mbedtls_free(bufx); } /* END_CASE */ /* BEGIN_CASE depends_on:MBEDTLS_TEST_HOOKS */ void ecp_mod_random(int id, int ctype) { size_t limbs; mbedtls_mpi_mod_modulus m; mbedtls_mpi_mod_residue rX; // For random data mbedtls_mpi_uint *rX_raw = NULL; mbedtls_mpi_mod_modulus_init(&m); TEST_EQUAL(0, mbedtls_ecp_modulus_setup(&m, id, ctype)); limbs = m.limbs; ASSERT_ALLOC(rX_raw, limbs); TEST_EQUAL(0, mbedtls_mpi_mod_residue_setup(&rX, &m, rX_raw, limbs)); TEST_EQUAL(0, mbedtls_mpi_mod_random(&rX, 1, &m, mbedtls_test_rnd_std_rand, NULL)); TEST_ASSERT(mbedtls_mpi_core_lt_ct(rX.p, m.p, limbs) == 1); exit: mbedtls_mpi_mod_modulus_free(&m); mbedtls_mpi_mod_residue_release(&rX); mbedtls_free(rX_raw); } /* END_CASE */