/* BEGIN_HEADER */ #include "mbedtls/bignum.h" #include "mbedtls/entropy.h" #include "bignum_core.h" #include "bignum_mod_raw.h" #include "constant_time_internal.h" #include "test/constant_flow.h" #include "bignum_mod_raw_invasive.h" /* END_HEADER */ /* BEGIN_DEPENDENCIES * depends_on:MBEDTLS_BIGNUM_C * END_DEPENDENCIES */ /* BEGIN_CASE */ void mpi_mod_raw_io(data_t *input, int nb_int, int nx_32_int, int iendian, int iret, int oret) { mbedtls_mpi_mod_modulus m; mbedtls_mpi_mod_modulus_init(&m); if (iret != 0) { TEST_ASSERT(oret == 0); } TEST_LE_S(0, nb_int); size_t nb = nb_int; unsigned char buf[1024]; TEST_LE_U(nb, sizeof(buf)); /* nx_32_int is the number of 32 bit limbs, if we have 64 bit limbs we need * to halve the number of limbs to have the same size. */ size_t nx; TEST_LE_S(0, nx_32_int); if (sizeof(mbedtls_mpi_uint) == 8) { nx = nx_32_int / 2 + nx_32_int % 2; } else { nx = nx_32_int; } mbedtls_mpi_uint X[sizeof(buf) / sizeof(mbedtls_mpi_uint)]; TEST_LE_U(nx, sizeof(X) / sizeof(X[0])); int endian; if (iendian == MBEDTLS_MPI_MOD_EXT_REP_INVALID) { endian = MBEDTLS_MPI_MOD_EXT_REP_LE; } else { endian = iendian; } mbedtls_mpi_uint init[sizeof(X) / sizeof(X[0])]; memset(init, 0xFF, sizeof(init)); int ret = mbedtls_mpi_mod_modulus_setup(&m, init, nx, MBEDTLS_MPI_MOD_REP_MONTGOMERY); TEST_EQUAL(ret, 0); if (iendian == MBEDTLS_MPI_MOD_EXT_REP_INVALID && iret != 0) { endian = MBEDTLS_MPI_MOD_EXT_REP_INVALID; } ret = mbedtls_mpi_mod_raw_read(X, &m, input->x, input->len, endian); TEST_EQUAL(ret, iret); if (iret == 0) { if (iendian == MBEDTLS_MPI_MOD_EXT_REP_INVALID && oret != 0) { endian = MBEDTLS_MPI_MOD_EXT_REP_INVALID; } ret = mbedtls_mpi_mod_raw_write(X, &m, buf, nb, endian); TEST_EQUAL(ret, oret); } if ((iret == 0) && (oret == 0)) { if (nb > input->len) { if (endian == MBEDTLS_MPI_MOD_EXT_REP_BE) { size_t leading_zeroes = nb - input->len; TEST_ASSERT(memcmp(buf + nb - input->len, input->x, input->len) == 0); for (size_t i = 0; i < leading_zeroes; i++) { TEST_EQUAL(buf[i], 0); } } else { TEST_ASSERT(memcmp(buf, input->x, input->len) == 0); for (size_t i = input->len; i < nb; i++) { TEST_EQUAL(buf[i], 0); } } } else { if (endian == MBEDTLS_MPI_MOD_EXT_REP_BE) { size_t leading_zeroes = input->len - nb; TEST_ASSERT(memcmp(input->x + input->len - nb, buf, nb) == 0); for (size_t i = 0; i < leading_zeroes; i++) { TEST_EQUAL(input->x[i], 0); } } else { TEST_ASSERT(memcmp(input->x, buf, nb) == 0); for (size_t i = nb; i < input->len; i++) { TEST_EQUAL(input->x[i], 0); } } } } exit: mbedtls_mpi_mod_modulus_free(&m); } /* END_CASE */ /* BEGIN_CASE */ void mpi_mod_raw_cond_assign(char *input_X, char *input_Y, int input_bytes) { mbedtls_mpi_uint *X = NULL; mbedtls_mpi_uint *Y = NULL; mbedtls_mpi_uint *buff_m = NULL; size_t limbs_X; size_t limbs_Y; 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(&Y, &limbs_Y, input_Y), 0); size_t limbs = limbs_X; size_t copy_limbs = CHARS_TO_LIMBS(input_bytes); size_t bytes = limbs * sizeof(mbedtls_mpi_uint); size_t copy_bytes = copy_limbs * sizeof(mbedtls_mpi_uint); TEST_EQUAL(limbs_X, limbs_Y); TEST_ASSERT(copy_limbs <= limbs); ASSERT_ALLOC(buff_m, copy_limbs); memset(buff_m, 0xFF, copy_limbs); TEST_EQUAL(mbedtls_mpi_mod_modulus_setup( &m, buff_m, copy_limbs, MBEDTLS_MPI_MOD_REP_MONTGOMERY), 0); /* condition is false */ TEST_CF_SECRET(X, bytes); TEST_CF_SECRET(Y, bytes); mbedtls_mpi_mod_raw_cond_assign(X, Y, &m, 0); TEST_CF_PUBLIC(X, bytes); TEST_CF_PUBLIC(Y, bytes); TEST_ASSERT(memcmp(X, Y, bytes) != 0); /* condition is true */ TEST_CF_SECRET(X, bytes); TEST_CF_SECRET(Y, bytes); mbedtls_mpi_mod_raw_cond_assign(X, Y, &m, 1); TEST_CF_PUBLIC(X, bytes); TEST_CF_PUBLIC(Y, bytes); /* Check if the given length is copied even it is smaller than the length of the given MPIs. */ if (copy_limbs < limbs) { ASSERT_COMPARE(X, copy_bytes, Y, copy_bytes); TEST_ASSERT(memcmp(X, Y, bytes) != 0); } else { ASSERT_COMPARE(X, bytes, Y, bytes); } exit: mbedtls_free(X); mbedtls_free(Y); mbedtls_mpi_mod_modulus_free(&m); mbedtls_free(buff_m); } /* END_CASE */ /* BEGIN_CASE */ void mpi_mod_raw_cond_swap(char *input_X, char *input_Y, int input_bytes) { mbedtls_mpi_uint *tmp_X = NULL; mbedtls_mpi_uint *tmp_Y = NULL; mbedtls_mpi_uint *X = NULL; mbedtls_mpi_uint *Y = NULL; mbedtls_mpi_uint *buff_m = NULL; size_t limbs_X; size_t limbs_Y; mbedtls_mpi_mod_modulus m; mbedtls_mpi_mod_modulus_init(&m); TEST_EQUAL(mbedtls_test_read_mpi_core(&tmp_X, &limbs_X, input_X), 0); TEST_EQUAL(mbedtls_test_read_mpi_core(&tmp_Y, &limbs_Y, input_Y), 0); size_t limbs = limbs_X; size_t copy_limbs = CHARS_TO_LIMBS(input_bytes); size_t bytes = limbs * sizeof(mbedtls_mpi_uint); size_t copy_bytes = copy_limbs * sizeof(mbedtls_mpi_uint); TEST_EQUAL(limbs_X, limbs_Y); TEST_ASSERT(copy_limbs <= limbs); ASSERT_ALLOC(buff_m, copy_limbs); memset(buff_m, 0xFF, copy_limbs); TEST_EQUAL(mbedtls_mpi_mod_modulus_setup( &m, buff_m, copy_limbs, MBEDTLS_MPI_MOD_REP_MONTGOMERY), 0); ASSERT_ALLOC(X, limbs); memcpy(X, tmp_X, bytes); ASSERT_ALLOC(Y, bytes); memcpy(Y, tmp_Y, bytes); /* condition is false */ TEST_CF_SECRET(X, bytes); TEST_CF_SECRET(Y, bytes); mbedtls_mpi_mod_raw_cond_swap(X, Y, &m, 0); TEST_CF_PUBLIC(X, bytes); TEST_CF_PUBLIC(Y, bytes); ASSERT_COMPARE(X, bytes, tmp_X, bytes); ASSERT_COMPARE(Y, bytes, tmp_Y, bytes); /* condition is true */ TEST_CF_SECRET(X, bytes); TEST_CF_SECRET(Y, bytes); mbedtls_mpi_mod_raw_cond_swap(X, Y, &m, 1); TEST_CF_PUBLIC(X, bytes); TEST_CF_PUBLIC(Y, bytes); /* Check if the given length is copied even it is smaller than the length of the given MPIs. */ if (copy_limbs < limbs) { ASSERT_COMPARE(X, copy_bytes, tmp_Y, copy_bytes); ASSERT_COMPARE(Y, copy_bytes, tmp_X, copy_bytes); TEST_ASSERT(memcmp(X, tmp_X, bytes) != 0); TEST_ASSERT(memcmp(X, tmp_Y, bytes) != 0); TEST_ASSERT(memcmp(Y, tmp_X, bytes) != 0); TEST_ASSERT(memcmp(Y, tmp_Y, bytes) != 0); } else { ASSERT_COMPARE(X, bytes, tmp_Y, bytes); ASSERT_COMPARE(Y, bytes, tmp_X, bytes); } exit: mbedtls_free(tmp_X); mbedtls_free(tmp_Y); mbedtls_free(X); mbedtls_free(Y); mbedtls_mpi_mod_modulus_free(&m); mbedtls_free(buff_m); } /* END_CASE */ /* BEGIN MERGE SLOT 1 */ /* END MERGE SLOT 1 */ /* BEGIN MERGE SLOT 2 */ /* BEGIN_CASE */ void mpi_mod_raw_sub(char *input_A, char *input_B, char *input_N, char *result) { mbedtls_mpi_uint *A = NULL; mbedtls_mpi_uint *B = NULL; mbedtls_mpi_uint *N = NULL; mbedtls_mpi_uint *X = NULL; mbedtls_mpi_uint *res = NULL; size_t limbs_A; size_t limbs_B; size_t limbs_N; size_t limbs_res; mbedtls_mpi_mod_modulus m; mbedtls_mpi_mod_modulus_init(&m); TEST_EQUAL(mbedtls_test_read_mpi_core(&A, &limbs_A, input_A), 0); TEST_EQUAL(mbedtls_test_read_mpi_core(&B, &limbs_B, input_B), 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); size_t limbs = limbs_N; size_t bytes = limbs * sizeof(mbedtls_mpi_uint); TEST_EQUAL(limbs_A, limbs); TEST_EQUAL(limbs_B, limbs); TEST_EQUAL(limbs_res, limbs); ASSERT_ALLOC(X, limbs); TEST_EQUAL(mbedtls_mpi_mod_modulus_setup( &m, N, limbs, MBEDTLS_MPI_MOD_REP_MONTGOMERY), 0); mbedtls_mpi_mod_raw_sub(X, A, B, &m); ASSERT_COMPARE(X, bytes, res, bytes); /* alias X to A */ memcpy(X, A, bytes); mbedtls_mpi_mod_raw_sub(X, X, B, &m); ASSERT_COMPARE(X, bytes, res, bytes); /* alias X to B */ memcpy(X, B, bytes); mbedtls_mpi_mod_raw_sub(X, A, X, &m); ASSERT_COMPARE(X, bytes, res, bytes); /* A == B: alias A and B */ if (memcmp(A, B, bytes) == 0) { mbedtls_mpi_mod_raw_sub(X, A, A, &m); ASSERT_COMPARE(X, bytes, res, bytes); /* X, A, B all aliased together */ memcpy(X, A, bytes); mbedtls_mpi_mod_raw_sub(X, X, X, &m); ASSERT_COMPARE(X, bytes, res, bytes); } exit: mbedtls_free(A); mbedtls_free(B); 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 mpi_mod_raw_fix_quasi_reduction(char *input_N, char *input_X, char *result) { mbedtls_mpi_uint *X = NULL; mbedtls_mpi_uint *N = NULL; mbedtls_mpi_uint *res = NULL; mbedtls_mpi_uint *tmp = NULL; size_t limbs_X; size_t limbs_N; size_t limbs_res; 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); size_t limbs = limbs_N; size_t bytes = limbs * sizeof(mbedtls_mpi_uint); TEST_EQUAL(limbs_X, limbs); TEST_EQUAL(limbs_res, limbs); ASSERT_ALLOC(tmp, limbs); memcpy(tmp, X, bytes); /* Check that 0 <= X < 2N */ mbedtls_mpi_uint c = mbedtls_mpi_core_sub(tmp, X, N, limbs); TEST_ASSERT(c || mbedtls_mpi_core_lt_ct(tmp, N, limbs)); TEST_EQUAL(mbedtls_mpi_mod_modulus_setup( &m, N, limbs, MBEDTLS_MPI_MOD_REP_MONTGOMERY), 0); mbedtls_mpi_mod_raw_fix_quasi_reduction(X, &m); ASSERT_COMPARE(X, bytes, res, bytes); exit: mbedtls_free(X); mbedtls_free(res); mbedtls_free(tmp); mbedtls_mpi_mod_modulus_free(&m); mbedtls_free(N); } /* END_CASE */ /* BEGIN_CASE */ void mpi_mod_raw_mul(char *input_A, char *input_B, char *input_N, char *result) { mbedtls_mpi_uint *A = NULL; mbedtls_mpi_uint *B = NULL; mbedtls_mpi_uint *N = NULL; mbedtls_mpi_uint *X = NULL; mbedtls_mpi_uint *R = NULL; mbedtls_mpi_uint *T = NULL; size_t limbs_A; size_t limbs_B; size_t limbs_N; size_t limbs_R; mbedtls_mpi_mod_modulus m; mbedtls_mpi_mod_modulus_init(&m); TEST_EQUAL(mbedtls_test_read_mpi_core(&A, &limbs_A, input_A), 0); TEST_EQUAL(mbedtls_test_read_mpi_core(&B, &limbs_B, input_B), 0); TEST_EQUAL(mbedtls_test_read_mpi_core(&N, &limbs_N, input_N), 0); TEST_EQUAL(mbedtls_test_read_mpi_core(&R, &limbs_R, result), 0); const size_t limbs = limbs_N; const size_t bytes = limbs * sizeof(mbedtls_mpi_uint); TEST_EQUAL(limbs_A, limbs); TEST_EQUAL(limbs_B, limbs); TEST_EQUAL(limbs_R, limbs); ASSERT_ALLOC(X, limbs); TEST_EQUAL(mbedtls_mpi_mod_modulus_setup( &m, N, limbs, MBEDTLS_MPI_MOD_REP_MONTGOMERY), 0); const size_t limbs_T = limbs * 2 + 1; ASSERT_ALLOC(T, limbs_T); mbedtls_mpi_mod_raw_mul(X, A, B, &m, T); ASSERT_COMPARE(X, bytes, R, bytes); /* alias X to A */ memcpy(X, A, bytes); mbedtls_mpi_mod_raw_mul(X, X, B, &m, T); ASSERT_COMPARE(X, bytes, R, bytes); /* alias X to B */ memcpy(X, B, bytes); mbedtls_mpi_mod_raw_mul(X, A, X, &m, T); ASSERT_COMPARE(X, bytes, R, bytes); /* A == B: alias A and B */ if (memcmp(A, B, bytes) == 0) { mbedtls_mpi_mod_raw_mul(X, A, A, &m, T); ASSERT_COMPARE(X, bytes, R, bytes); /* X, A, B all aliased together */ memcpy(X, A, bytes); mbedtls_mpi_mod_raw_mul(X, X, X, &m, T); ASSERT_COMPARE(X, bytes, R, bytes); } /* A != B: test B * A */ else { mbedtls_mpi_mod_raw_mul(X, B, A, &m, T); ASSERT_COMPARE(X, bytes, R, bytes); /* B * A: alias X to A */ memcpy(X, A, bytes); mbedtls_mpi_mod_raw_mul(X, B, X, &m, T); ASSERT_COMPARE(X, bytes, R, bytes); /* B + A: alias X to B */ memcpy(X, B, bytes); mbedtls_mpi_mod_raw_mul(X, X, A, &m, T); ASSERT_COMPARE(X, bytes, R, bytes); } exit: mbedtls_free(A); mbedtls_free(B); mbedtls_free(X); mbedtls_free(R); mbedtls_free(T); mbedtls_mpi_mod_modulus_free(&m); mbedtls_free(N); } /* END_CASE */ /* END MERGE SLOT 2 */ /* BEGIN MERGE SLOT 3 */ /* BEGIN_CASE */ void mpi_mod_raw_inv_prime(char *input_N, char *input_A, char *input_X) { mbedtls_mpi_uint *A = NULL; mbedtls_mpi_uint *N = NULL; mbedtls_mpi_uint *X = NULL; size_t A_limbs, N_limbs, X_limbs; mbedtls_mpi_uint *Y = NULL; mbedtls_mpi_uint *T = NULL; const mbedtls_mpi_uint *R2 = NULL; /* Legacy MPIs for computing R2 */ mbedtls_mpi N_mpi; /* gets set up manually, aliasing N, so no need to free */ mbedtls_mpi R2_mpi; mbedtls_mpi_init(&R2_mpi); TEST_EQUAL(0, mbedtls_test_read_mpi_core(&A, &A_limbs, input_A)); TEST_EQUAL(0, mbedtls_test_read_mpi_core(&N, &N_limbs, input_N)); TEST_EQUAL(0, mbedtls_test_read_mpi_core(&X, &X_limbs, input_X)); ASSERT_ALLOC(Y, N_limbs); TEST_EQUAL(A_limbs, N_limbs); TEST_EQUAL(X_limbs, N_limbs); N_mpi.s = 1; N_mpi.p = N; N_mpi.n = N_limbs; TEST_EQUAL(0, mbedtls_mpi_core_get_mont_r2_unsafe(&R2_mpi, &N_mpi)); TEST_EQUAL(0, mbedtls_mpi_grow(&R2_mpi, N_limbs)); R2 = R2_mpi.p; size_t working_limbs = mbedtls_mpi_mod_raw_inv_prime_working_limbs(N_limbs); /* No point exactly duplicating the code in mbedtls_mpi_mod_raw_inv_prime_working_limbs() * to see if the output is correct, but we can check that it's in a * reasonable range. The current calculation works out as * `1 + N_limbs * (welem + 4)`, where welem is the number of elements in * the window (1 << 1 up to 1 << 6). */ size_t min_expected_working_limbs = 1 + N_limbs * 5; size_t max_expected_working_limbs = 1 + N_limbs * 68; TEST_LE_U(min_expected_working_limbs, working_limbs); TEST_LE_U(working_limbs, max_expected_working_limbs); /* Should also be at least mbedtls_mpi_core_montmul_working_limbs() */ TEST_LE_U(mbedtls_mpi_core_montmul_working_limbs(N_limbs), working_limbs); ASSERT_ALLOC(T, working_limbs); mbedtls_mpi_mod_raw_inv_prime(Y, A, N, N_limbs, R2, T); TEST_EQUAL(0, memcmp(X, Y, N_limbs * sizeof(mbedtls_mpi_uint))); /* Check when output aliased to input */ mbedtls_mpi_mod_raw_inv_prime(A, A, N, N_limbs, R2, T); TEST_EQUAL(0, memcmp(X, A, N_limbs * sizeof(mbedtls_mpi_uint))); exit: mbedtls_free(T); mbedtls_free(A); mbedtls_free(N); mbedtls_free(X); mbedtls_free(Y); mbedtls_mpi_free(&R2_mpi); // R2 doesn't need to be freed as it is only aliasing R2_mpi // N_mpi doesn't need to be freed as it is only aliasing N } /* END_CASE */ /* END MERGE SLOT 3 */ /* BEGIN MERGE SLOT 4 */ /* END MERGE SLOT 4 */ /* BEGIN MERGE SLOT 5 */ /* BEGIN_CASE */ void mpi_mod_raw_add(char *input_N, char *input_A, char *input_B, char *input_S) { mbedtls_mpi_uint *A = NULL; mbedtls_mpi_uint *B = NULL; mbedtls_mpi_uint *S = NULL; mbedtls_mpi_uint *N = NULL; mbedtls_mpi_uint *X = NULL; size_t A_limbs, B_limbs, N_limbs, S_limbs; mbedtls_mpi_mod_modulus m; mbedtls_mpi_mod_modulus_init(&m); TEST_EQUAL(0, mbedtls_test_read_mpi_core(&A, &A_limbs, input_A)); TEST_EQUAL(0, mbedtls_test_read_mpi_core(&B, &B_limbs, input_B)); TEST_EQUAL(0, mbedtls_test_read_mpi_core(&N, &N_limbs, input_N)); TEST_EQUAL(0, mbedtls_test_read_mpi_core(&S, &S_limbs, input_S)); /* Modulus gives the number of limbs; all inputs must have the same. */ size_t limbs = N_limbs; size_t bytes = limbs * sizeof(*A); TEST_EQUAL(A_limbs, limbs); TEST_EQUAL(B_limbs, limbs); TEST_EQUAL(S_limbs, limbs); ASSERT_ALLOC(X, limbs); TEST_EQUAL(mbedtls_mpi_mod_modulus_setup( &m, N, limbs, MBEDTLS_MPI_MOD_REP_MONTGOMERY ), 0); /* A + B => Correct result */ mbedtls_mpi_mod_raw_add(X, A, B, &m); ASSERT_COMPARE(X, bytes, S, bytes); /* A + B: alias X to A => Correct result */ memcpy(X, A, bytes); mbedtls_mpi_mod_raw_add(X, X, B, &m); ASSERT_COMPARE(X, bytes, S, bytes); /* A + B: alias X to B => Correct result */ memcpy(X, B, bytes); mbedtls_mpi_mod_raw_add(X, A, X, &m); ASSERT_COMPARE(X, bytes, S, bytes); if (memcmp(A, B, bytes) == 0) { /* A == B: alias A and B */ /* A + A => Correct result */ mbedtls_mpi_mod_raw_add(X, A, A, &m); ASSERT_COMPARE(X, bytes, S, bytes); /* A + A: X, A, B all aliased together => Correct result */ memcpy(X, A, bytes); mbedtls_mpi_mod_raw_add(X, X, X, &m); ASSERT_COMPARE(X, bytes, S, bytes); } else { /* A != B: test B + A */ /* B + A => Correct result */ mbedtls_mpi_mod_raw_add(X, B, A, &m); ASSERT_COMPARE(X, bytes, S, bytes); /* B + A: alias X to A => Correct result */ memcpy(X, A, bytes); mbedtls_mpi_mod_raw_add(X, B, X, &m); ASSERT_COMPARE(X, bytes, S, bytes); /* B + A: alias X to B => Correct result */ memcpy(X, B, bytes); mbedtls_mpi_mod_raw_add(X, X, A, &m); ASSERT_COMPARE(X, bytes, S, bytes); } exit: mbedtls_mpi_mod_modulus_free(&m); mbedtls_free(A); mbedtls_free(B); mbedtls_free(S); mbedtls_free(N); mbedtls_free(X); } /* END_CASE */ /* END MERGE SLOT 5 */ /* BEGIN MERGE SLOT 6 */ /* BEGIN_CASE */ void mpi_mod_raw_canonical_to_modulus_rep(const char *input_N, int rep, const char *input_A, const char *input_X) { mbedtls_mpi_mod_modulus N; mbedtls_mpi_mod_modulus_init(&N); mbedtls_mpi_uint *A = NULL; size_t A_limbs = 0;; mbedtls_mpi_uint *X = NULL; size_t X_limbs = 0; TEST_EQUAL(0, mbedtls_test_read_mpi_modulus(&N, input_N, rep)); TEST_EQUAL(0, mbedtls_test_read_mpi_core(&A, &A_limbs, input_A)); TEST_EQUAL(0, mbedtls_test_read_mpi_core(&X, &X_limbs, input_X)); TEST_EQUAL(0, mbedtls_mpi_mod_raw_canonical_to_modulus_rep(A, &N)); ASSERT_COMPARE(A, A_limbs * sizeof(mbedtls_mpi_uint), X, X_limbs * sizeof(mbedtls_mpi_uint)); exit: mbedtls_test_mpi_mod_modulus_free_with_limbs(&N); mbedtls_free(A); mbedtls_free(X); } /* END_CASE */ /* BEGIN_CASE */ void mpi_mod_raw_modulus_to_canonical_rep(const char *input_N, int rep, const char *input_A, const char *input_X) { mbedtls_mpi_mod_modulus N; mbedtls_mpi_mod_modulus_init(&N); mbedtls_mpi_uint *A = NULL; size_t A_limbs = 0; mbedtls_mpi_uint *X = NULL; size_t X_limbs = 0; TEST_EQUAL(0, mbedtls_test_read_mpi_modulus(&N, input_N, rep)); TEST_EQUAL(0, mbedtls_test_read_mpi_core(&A, &A_limbs, input_A)); TEST_EQUAL(0, mbedtls_test_read_mpi_core(&X, &X_limbs, input_X)); TEST_EQUAL(0, mbedtls_mpi_mod_raw_modulus_to_canonical_rep(A, &N)); ASSERT_COMPARE(A, A_limbs * sizeof(mbedtls_mpi_uint), X, X_limbs * sizeof(mbedtls_mpi_uint)); exit: mbedtls_test_mpi_mod_modulus_free_with_limbs(&N); mbedtls_free(A); mbedtls_free(X); } /* END_CASE */ /* END MERGE SLOT 6 */ /* BEGIN MERGE SLOT 7 */ /* BEGIN_CASE */ void mpi_mod_raw_to_mont_rep(char *input_N, char *input_A, char *input_X) { mbedtls_mpi_uint *N = NULL; mbedtls_mpi_uint *A = NULL; mbedtls_mpi_uint *R = NULL; /* for result of low-level conversion */ mbedtls_mpi_uint *X = NULL; mbedtls_mpi_uint *T = NULL; size_t n_limbs, a_limbs, x_limbs; mbedtls_mpi_mod_modulus m; mbedtls_mpi_mod_modulus_init(&m); /* Read inputs */ TEST_EQUAL(0, mbedtls_test_read_mpi_core(&N, &n_limbs, input_N)); TEST_EQUAL(0, mbedtls_test_read_mpi_core(&A, &a_limbs, input_A)); TEST_EQUAL(0, mbedtls_test_read_mpi_core(&X, &x_limbs, input_X)); /* Number to convert must have same number of limbs as modulus */ TEST_EQUAL(a_limbs, n_limbs); /* Higher-level conversion is in-place, so expected result must have the * same number of limbs too */ TEST_EQUAL(x_limbs, n_limbs); size_t limbs = n_limbs; size_t bytes = limbs * sizeof(mbedtls_mpi_uint); TEST_EQUAL(0, mbedtls_mpi_mod_modulus_setup(&m, N, n_limbs, MBEDTLS_MPI_MOD_REP_MONTGOMERY)); /* 1. Test low-level function first */ /* It has separate output, and requires temporary working storage */ size_t temp_limbs = mbedtls_mpi_core_montmul_working_limbs(limbs); ASSERT_ALLOC(T, temp_limbs); ASSERT_ALLOC(R, limbs); mbedtls_mpi_core_to_mont_rep(R, A, N, n_limbs, m.rep.mont.mm, m.rep.mont.rr, T); /* Test that the low-level function gives the required value */ ASSERT_COMPARE(R, bytes, X, bytes); /* Test when output is aliased to input */ memcpy(R, A, bytes); mbedtls_mpi_core_to_mont_rep(R, R, N, n_limbs, m.rep.mont.mm, m.rep.mont.rr, T); ASSERT_COMPARE(R, bytes, X, bytes); /* 2. Test higher-level cannonical to Montgomery conversion */ TEST_EQUAL(0, mbedtls_mpi_mod_raw_to_mont_rep(A, &m)); /* The result matches expected value */ ASSERT_COMPARE(A, bytes, X, bytes); exit: mbedtls_mpi_mod_modulus_free(&m); mbedtls_free(T); mbedtls_free(N); mbedtls_free(A); mbedtls_free(R); mbedtls_free(X); } /* END_CASE */ /* BEGIN_CASE */ void mpi_mod_raw_from_mont_rep(char *input_N, char *input_A, char *input_X) { mbedtls_mpi_uint *N = NULL; mbedtls_mpi_uint *A = NULL; mbedtls_mpi_uint *R = NULL; /* for result of low-level conversion */ mbedtls_mpi_uint *X = NULL; mbedtls_mpi_uint *T = NULL; size_t n_limbs, a_limbs, x_limbs; mbedtls_mpi_mod_modulus m; mbedtls_mpi_mod_modulus_init(&m); /* Read inputs */ TEST_EQUAL(0, mbedtls_test_read_mpi_core(&N, &n_limbs, input_N)); TEST_EQUAL(0, mbedtls_test_read_mpi_core(&A, &a_limbs, input_A)); TEST_EQUAL(0, mbedtls_test_read_mpi_core(&X, &x_limbs, input_X)); /* Number to convert must have same number of limbs as modulus */ TEST_EQUAL(a_limbs, n_limbs); /* Higher-level conversion is in-place, so expected result must have the * same number of limbs too */ TEST_EQUAL(x_limbs, n_limbs); size_t limbs = n_limbs; size_t bytes = limbs * sizeof(mbedtls_mpi_uint); TEST_EQUAL(0, mbedtls_mpi_mod_modulus_setup(&m, N, n_limbs, MBEDTLS_MPI_MOD_REP_MONTGOMERY)); /* 1. Test low-level function first */ /* It has separate output, and requires temporary working storage */ size_t temp_limbs = mbedtls_mpi_core_montmul_working_limbs(limbs); ASSERT_ALLOC(T, temp_limbs); ASSERT_ALLOC(R, limbs); mbedtls_mpi_core_from_mont_rep(R, A, N, n_limbs, m.rep.mont.mm, T); /* Test that the low-level function gives the required value */ ASSERT_COMPARE(R, bytes, X, bytes); /* Test when output is aliased to input */ memcpy(R, A, bytes); mbedtls_mpi_core_from_mont_rep(R, R, N, n_limbs, m.rep.mont.mm, T); ASSERT_COMPARE(R, bytes, X, bytes); /* 2. Test higher-level Montgomery to cannonical conversion */ TEST_EQUAL(0, mbedtls_mpi_mod_raw_from_mont_rep(A, &m)); /* The result matches expected value */ ASSERT_COMPARE(A, bytes, X, bytes); exit: mbedtls_mpi_mod_modulus_free(&m); mbedtls_free(T); mbedtls_free(N); mbedtls_free(A); mbedtls_free(R); mbedtls_free(X); } /* END_CASE */ /* BEGIN_CASE */ void mpi_mod_raw_neg(char *input_N, char *input_A, char *input_X) { mbedtls_mpi_uint *N = NULL; mbedtls_mpi_uint *A = NULL; mbedtls_mpi_uint *X = NULL; mbedtls_mpi_uint *R = NULL; mbedtls_mpi_uint *Z = NULL; size_t n_limbs, a_limbs, x_limbs, bytes; mbedtls_mpi_mod_modulus m; mbedtls_mpi_mod_modulus_init(&m); /* Read inputs */ TEST_EQUAL(0, mbedtls_test_read_mpi_core(&N, &n_limbs, input_N)); TEST_EQUAL(0, mbedtls_test_read_mpi_core(&A, &a_limbs, input_A)); TEST_EQUAL(0, mbedtls_test_read_mpi_core(&X, &x_limbs, input_X)); TEST_EQUAL(a_limbs, n_limbs); TEST_EQUAL(x_limbs, n_limbs); bytes = n_limbs * sizeof(mbedtls_mpi_uint); ASSERT_ALLOC(R, n_limbs); ASSERT_ALLOC(Z, n_limbs); TEST_EQUAL(0, mbedtls_mpi_mod_modulus_setup(&m, N, n_limbs, MBEDTLS_MPI_MOD_REP_MONTGOMERY)); /* Neg( A == 0 ) => Zero result */ mbedtls_mpi_mod_raw_neg(R, Z, &m); ASSERT_COMPARE(R, bytes, Z, bytes); /* Neg( A == N ) => Zero result */ mbedtls_mpi_mod_raw_neg(R, N, &m); ASSERT_COMPARE(R, bytes, Z, bytes); /* Neg( A ) => Correct result */ mbedtls_mpi_mod_raw_neg(R, A, &m); ASSERT_COMPARE(R, bytes, X, bytes); /* Neg( A ): alias A to R => Correct result */ mbedtls_mpi_mod_raw_neg(A, A, &m); ASSERT_COMPARE(A, bytes, X, bytes); exit: mbedtls_mpi_mod_modulus_free(&m); mbedtls_free(N); mbedtls_free(A); mbedtls_free(X); mbedtls_free(R); mbedtls_free(Z); } /* END_CASE */ /* END MERGE SLOT 7 */ /* BEGIN MERGE SLOT 8 */ /* END MERGE SLOT 8 */ /* BEGIN MERGE SLOT 9 */ /* END MERGE SLOT 9 */ /* BEGIN MERGE SLOT 10 */ /* END MERGE SLOT 10 */