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- /**
- * Modular bignum functions
- *
- * Copyright The Mbed TLS Contributors
- * SPDX-License-Identifier: Apache-2.0
- *
- * Licensed under the Apache License, Version 2.0 (the "License"); you may
- * not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
- * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
- #include "common.h"
- #if defined(MBEDTLS_BIGNUM_C)
- #include <string.h>
- #include "mbedtls/platform_util.h"
- #include "mbedtls/error.h"
- #include "mbedtls/bignum.h"
- #include "mbedtls/platform.h"
- #include "bignum_core.h"
- #include "bignum_mod.h"
- #include "bignum_mod_raw.h"
- #include "constant_time_internal.h"
- int mbedtls_mpi_mod_residue_setup(mbedtls_mpi_mod_residue *r,
- const mbedtls_mpi_mod_modulus *N,
- mbedtls_mpi_uint *p,
- size_t p_limbs)
- {
- if (p_limbs != N->limbs || !mbedtls_mpi_core_lt_ct(p, N->p, N->limbs)) {
- return MBEDTLS_ERR_MPI_BAD_INPUT_DATA;
- }
- r->limbs = N->limbs;
- r->p = p;
- return 0;
- }
- void mbedtls_mpi_mod_residue_release(mbedtls_mpi_mod_residue *r)
- {
- if (r == NULL) {
- return;
- }
- r->limbs = 0;
- r->p = NULL;
- }
- void mbedtls_mpi_mod_modulus_init(mbedtls_mpi_mod_modulus *N)
- {
- if (N == NULL) {
- return;
- }
- N->p = NULL;
- N->limbs = 0;
- N->bits = 0;
- N->int_rep = MBEDTLS_MPI_MOD_REP_INVALID;
- }
- void mbedtls_mpi_mod_modulus_free(mbedtls_mpi_mod_modulus *N)
- {
- if (N == NULL) {
- return;
- }
- switch (N->int_rep) {
- case MBEDTLS_MPI_MOD_REP_MONTGOMERY:
- if (N->rep.mont.rr != NULL) {
- mbedtls_platform_zeroize((mbedtls_mpi_uint *) N->rep.mont.rr,
- N->limbs * sizeof(mbedtls_mpi_uint));
- mbedtls_free((mbedtls_mpi_uint *) N->rep.mont.rr);
- N->rep.mont.rr = NULL;
- }
- N->rep.mont.mm = 0;
- break;
- case MBEDTLS_MPI_MOD_REP_OPT_RED:
- mbedtls_free(N->rep.ored);
- break;
- case MBEDTLS_MPI_MOD_REP_INVALID:
- break;
- }
- N->p = NULL;
- N->limbs = 0;
- N->bits = 0;
- N->int_rep = MBEDTLS_MPI_MOD_REP_INVALID;
- }
- static int set_mont_const_square(const mbedtls_mpi_uint **X,
- const mbedtls_mpi_uint *A,
- size_t limbs)
- {
- int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
- mbedtls_mpi N;
- mbedtls_mpi RR;
- *X = NULL;
- mbedtls_mpi_init(&N);
- mbedtls_mpi_init(&RR);
- if (A == NULL || limbs == 0 || limbs >= (MBEDTLS_MPI_MAX_LIMBS / 2) - 2) {
- goto cleanup;
- }
- if (mbedtls_mpi_grow(&N, limbs)) {
- goto cleanup;
- }
- memcpy(N.p, A, sizeof(mbedtls_mpi_uint) * limbs);
- ret = mbedtls_mpi_core_get_mont_r2_unsafe(&RR, &N);
- if (ret == 0) {
- *X = RR.p;
- RR.p = NULL;
- }
- cleanup:
- mbedtls_mpi_free(&N);
- mbedtls_mpi_free(&RR);
- ret = (ret != 0) ? MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED : 0;
- return ret;
- }
- int mbedtls_mpi_mod_modulus_setup(mbedtls_mpi_mod_modulus *N,
- const mbedtls_mpi_uint *p,
- size_t p_limbs,
- mbedtls_mpi_mod_rep_selector int_rep)
- {
- int ret = 0;
- N->p = p;
- N->limbs = p_limbs;
- N->bits = mbedtls_mpi_core_bitlen(p, p_limbs);
- switch (int_rep) {
- case MBEDTLS_MPI_MOD_REP_MONTGOMERY:
- N->int_rep = int_rep;
- N->rep.mont.mm = mbedtls_mpi_core_montmul_init(N->p);
- ret = set_mont_const_square(&N->rep.mont.rr, N->p, N->limbs);
- break;
- case MBEDTLS_MPI_MOD_REP_OPT_RED:
- N->int_rep = int_rep;
- N->rep.ored = NULL;
- break;
- default:
- ret = MBEDTLS_ERR_MPI_BAD_INPUT_DATA;
- goto exit;
- }
- exit:
- if (ret != 0) {
- mbedtls_mpi_mod_modulus_free(N);
- }
- return ret;
- }
- /* BEGIN MERGE SLOT 1 */
- /* END MERGE SLOT 1 */
- /* BEGIN MERGE SLOT 2 */
- int mbedtls_mpi_mod_mul(mbedtls_mpi_mod_residue *X,
- const mbedtls_mpi_mod_residue *A,
- const mbedtls_mpi_mod_residue *B,
- const mbedtls_mpi_mod_modulus *N)
- {
- if (N->limbs == 0) {
- return MBEDTLS_ERR_MPI_BAD_INPUT_DATA;
- }
- if (X->limbs != N->limbs || A->limbs != N->limbs || B->limbs != N->limbs) {
- return MBEDTLS_ERR_MPI_BAD_INPUT_DATA;
- }
- mbedtls_mpi_uint *T = mbedtls_calloc(N->limbs * 2 + 1, ciL);
- if (T == NULL) {
- return MBEDTLS_ERR_MPI_ALLOC_FAILED;
- }
- mbedtls_mpi_mod_raw_mul(X->p, A->p, B->p, N, T);
- mbedtls_free(T);
- return 0;
- }
- /* END MERGE SLOT 2 */
- /* BEGIN MERGE SLOT 3 */
- int mbedtls_mpi_mod_sub(mbedtls_mpi_mod_residue *X,
- const mbedtls_mpi_mod_residue *A,
- const mbedtls_mpi_mod_residue *B,
- const mbedtls_mpi_mod_modulus *N)
- {
- if (X->limbs != N->limbs || A->limbs != N->limbs || B->limbs != N->limbs) {
- return MBEDTLS_ERR_MPI_BAD_INPUT_DATA;
- }
- mbedtls_mpi_mod_raw_sub(X->p, A->p, B->p, N);
- return 0;
- }
- static int mbedtls_mpi_mod_inv_mont(mbedtls_mpi_mod_residue *X,
- const mbedtls_mpi_mod_residue *A,
- const mbedtls_mpi_mod_modulus *N,
- mbedtls_mpi_uint *working_memory)
- {
- /* Input already in Montgomery form, so there's little to do */
- mbedtls_mpi_mod_raw_inv_prime(X->p, A->p,
- N->p, N->limbs,
- N->rep.mont.rr,
- working_memory);
- return 0;
- }
- static int mbedtls_mpi_mod_inv_non_mont(mbedtls_mpi_mod_residue *X,
- const mbedtls_mpi_mod_residue *A,
- const mbedtls_mpi_mod_modulus *N,
- mbedtls_mpi_uint *working_memory)
- {
- /* Need to convert input into Montgomery form */
- int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
- mbedtls_mpi_mod_modulus Nmont;
- mbedtls_mpi_mod_modulus_init(&Nmont);
- MBEDTLS_MPI_CHK(mbedtls_mpi_mod_modulus_setup(&Nmont, N->p, N->limbs,
- MBEDTLS_MPI_MOD_REP_MONTGOMERY));
- /* We'll use X->p to hold the Montgomery form of the input A->p */
- mbedtls_mpi_core_to_mont_rep(X->p, A->p, Nmont.p, Nmont.limbs,
- Nmont.rep.mont.mm, Nmont.rep.mont.rr,
- working_memory);
- mbedtls_mpi_mod_raw_inv_prime(X->p, X->p,
- Nmont.p, Nmont.limbs,
- Nmont.rep.mont.rr,
- working_memory);
- /* And convert back from Montgomery form */
- mbedtls_mpi_core_from_mont_rep(X->p, X->p, Nmont.p, Nmont.limbs,
- Nmont.rep.mont.mm, working_memory);
- cleanup:
- mbedtls_mpi_mod_modulus_free(&Nmont);
- return ret;
- }
- int mbedtls_mpi_mod_inv(mbedtls_mpi_mod_residue *X,
- const mbedtls_mpi_mod_residue *A,
- const mbedtls_mpi_mod_modulus *N)
- {
- if (X->limbs != N->limbs || A->limbs != N->limbs) {
- return MBEDTLS_ERR_MPI_BAD_INPUT_DATA;
- }
- /* Zero has the same value regardless of Montgomery form or not */
- if (mbedtls_mpi_core_check_zero_ct(A->p, A->limbs) == 0) {
- return MBEDTLS_ERR_MPI_BAD_INPUT_DATA;
- }
- size_t working_limbs =
- mbedtls_mpi_mod_raw_inv_prime_working_limbs(N->limbs);
- mbedtls_mpi_uint *working_memory = mbedtls_calloc(working_limbs,
- sizeof(mbedtls_mpi_uint));
- if (working_memory == NULL) {
- return MBEDTLS_ERR_MPI_ALLOC_FAILED;
- }
- int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
- switch (N->int_rep) {
- case MBEDTLS_MPI_MOD_REP_MONTGOMERY:
- ret = mbedtls_mpi_mod_inv_mont(X, A, N, working_memory);
- break;
- case MBEDTLS_MPI_MOD_REP_OPT_RED:
- ret = mbedtls_mpi_mod_inv_non_mont(X, A, N, working_memory);
- break;
- default:
- ret = MBEDTLS_ERR_MPI_BAD_INPUT_DATA;
- break;
- }
- mbedtls_platform_zeroize(working_memory,
- working_limbs * sizeof(mbedtls_mpi_uint));
- mbedtls_free(working_memory);
- return ret;
- }
- /* END MERGE SLOT 3 */
- /* BEGIN MERGE SLOT 4 */
- /* END MERGE SLOT 4 */
- /* BEGIN MERGE SLOT 5 */
- int mbedtls_mpi_mod_add(mbedtls_mpi_mod_residue *X,
- const mbedtls_mpi_mod_residue *A,
- const mbedtls_mpi_mod_residue *B,
- const mbedtls_mpi_mod_modulus *N)
- {
- if (X->limbs != N->limbs || A->limbs != N->limbs || B->limbs != N->limbs) {
- return MBEDTLS_ERR_MPI_BAD_INPUT_DATA;
- }
- mbedtls_mpi_mod_raw_add(X->p, A->p, B->p, N);
- return 0;
- }
- /* END MERGE SLOT 5 */
- /* BEGIN MERGE SLOT 6 */
- int mbedtls_mpi_mod_random(mbedtls_mpi_mod_residue *X,
- mbedtls_mpi_uint min,
- const mbedtls_mpi_mod_modulus *N,
- int (*f_rng)(void *, unsigned char *, size_t),
- void *p_rng)
- {
- if (X->limbs != N->limbs) {
- return MBEDTLS_ERR_MPI_BAD_INPUT_DATA;
- }
- return mbedtls_mpi_mod_raw_random(X->p, min, N, f_rng, p_rng);
- }
- /* END MERGE SLOT 6 */
- /* BEGIN MERGE SLOT 7 */
- int mbedtls_mpi_mod_read(mbedtls_mpi_mod_residue *r,
- const mbedtls_mpi_mod_modulus *N,
- const unsigned char *buf,
- size_t buflen,
- mbedtls_mpi_mod_ext_rep ext_rep)
- {
- int ret = MBEDTLS_ERR_MPI_BAD_INPUT_DATA;
- /* Do our best to check if r and m have been set up */
- if (r->limbs == 0 || N->limbs == 0) {
- goto cleanup;
- }
- if (r->limbs != N->limbs) {
- goto cleanup;
- }
- ret = mbedtls_mpi_mod_raw_read(r->p, N, buf, buflen, ext_rep);
- if (ret != 0) {
- goto cleanup;
- }
- r->limbs = N->limbs;
- ret = mbedtls_mpi_mod_raw_canonical_to_modulus_rep(r->p, N);
- cleanup:
- return ret;
- }
- int mbedtls_mpi_mod_write(const mbedtls_mpi_mod_residue *r,
- const mbedtls_mpi_mod_modulus *N,
- unsigned char *buf,
- size_t buflen,
- mbedtls_mpi_mod_ext_rep ext_rep)
- {
- int ret = MBEDTLS_ERR_MPI_BAD_INPUT_DATA;
- /* Do our best to check if r and m have been set up */
- if (r->limbs == 0 || N->limbs == 0) {
- goto cleanup;
- }
- if (r->limbs != N->limbs) {
- goto cleanup;
- }
- if (N->int_rep == MBEDTLS_MPI_MOD_REP_MONTGOMERY) {
- ret = mbedtls_mpi_mod_raw_from_mont_rep(r->p, N);
- if (ret != 0) {
- goto cleanup;
- }
- }
- ret = mbedtls_mpi_mod_raw_write(r->p, N, buf, buflen, ext_rep);
- if (N->int_rep == MBEDTLS_MPI_MOD_REP_MONTGOMERY) {
- /* If this fails, the value of r is corrupted and we want to return
- * this error (as opposed to the error code from the write above) to
- * let the caller know. If it succeeds, we want to return the error
- * code from write above. */
- int conv_ret = mbedtls_mpi_mod_raw_to_mont_rep(r->p, N);
- if (ret == 0) {
- ret = conv_ret;
- }
- }
- cleanup:
- return ret;
- }
- /* 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 */
- #endif /* MBEDTLS_BIGNUM_C */
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