865 lines
25 KiB
C
865 lines
25 KiB
C
/* BEGIN_HEADER */
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#include "mbedtls/bignum.h"
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#include "mbedtls/entropy.h"
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#include "bignum_core.h"
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#include "bignum_mod_raw.h"
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#include "constant_time_internal.h"
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#include "test/constant_flow.h"
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#include "bignum_mod_raw_invasive.h"
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/* END_HEADER */
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/* BEGIN_DEPENDENCIES
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* depends_on:MBEDTLS_BIGNUM_C
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* END_DEPENDENCIES
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*/
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/* BEGIN_CASE */
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void mpi_mod_raw_io(data_t *input, int nb_int, int nx_32_int,
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int iendian, int iret, int oret)
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{
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mbedtls_mpi_mod_modulus m;
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mbedtls_mpi_mod_modulus_init(&m);
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if (iret != 0) {
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TEST_ASSERT(oret == 0);
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}
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TEST_LE_S(0, nb_int);
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size_t nb = nb_int;
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unsigned char buf[1024];
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TEST_LE_U(nb, sizeof(buf));
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/* nx_32_int is the number of 32 bit limbs, if we have 64 bit limbs we need
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* to halve the number of limbs to have the same size. */
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size_t nx;
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TEST_LE_S(0, nx_32_int);
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if (sizeof(mbedtls_mpi_uint) == 8) {
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nx = nx_32_int / 2 + nx_32_int % 2;
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} else {
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nx = nx_32_int;
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}
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mbedtls_mpi_uint X[sizeof(buf) / sizeof(mbedtls_mpi_uint)];
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TEST_LE_U(nx, sizeof(X) / sizeof(X[0]));
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int endian;
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if (iendian == MBEDTLS_MPI_MOD_EXT_REP_INVALID) {
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endian = MBEDTLS_MPI_MOD_EXT_REP_LE;
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} else {
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endian = iendian;
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}
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mbedtls_mpi_uint init[sizeof(X) / sizeof(X[0])];
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memset(init, 0xFF, sizeof(init));
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int ret = mbedtls_mpi_mod_modulus_setup(&m, init, nx);
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TEST_EQUAL(ret, 0);
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if (iendian == MBEDTLS_MPI_MOD_EXT_REP_INVALID && iret != 0) {
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endian = MBEDTLS_MPI_MOD_EXT_REP_INVALID;
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}
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ret = mbedtls_mpi_mod_raw_read(X, &m, input->x, input->len, endian);
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TEST_EQUAL(ret, iret);
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if (iret == 0) {
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if (iendian == MBEDTLS_MPI_MOD_EXT_REP_INVALID && oret != 0) {
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endian = MBEDTLS_MPI_MOD_EXT_REP_INVALID;
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}
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ret = mbedtls_mpi_mod_raw_write(X, &m, buf, nb, endian);
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TEST_EQUAL(ret, oret);
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}
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if ((iret == 0) && (oret == 0)) {
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if (nb > input->len) {
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if (endian == MBEDTLS_MPI_MOD_EXT_REP_BE) {
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size_t leading_zeroes = nb - input->len;
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TEST_ASSERT(memcmp(buf + nb - input->len, input->x, input->len) == 0);
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for (size_t i = 0; i < leading_zeroes; i++) {
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TEST_EQUAL(buf[i], 0);
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}
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} else {
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TEST_ASSERT(memcmp(buf, input->x, input->len) == 0);
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for (size_t i = input->len; i < nb; i++) {
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TEST_EQUAL(buf[i], 0);
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}
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}
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} else {
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if (endian == MBEDTLS_MPI_MOD_EXT_REP_BE) {
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size_t leading_zeroes = input->len - nb;
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TEST_ASSERT(memcmp(input->x + input->len - nb, buf, nb) == 0);
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for (size_t i = 0; i < leading_zeroes; i++) {
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TEST_EQUAL(input->x[i], 0);
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}
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} else {
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TEST_ASSERT(memcmp(input->x, buf, nb) == 0);
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for (size_t i = nb; i < input->len; i++) {
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TEST_EQUAL(input->x[i], 0);
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}
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}
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}
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}
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exit:
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mbedtls_mpi_mod_modulus_free(&m);
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}
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/* END_CASE */
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/* BEGIN_CASE */
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void mpi_mod_raw_cond_assign(char *input_X,
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char *input_Y,
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int input_bytes)
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{
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mbedtls_mpi_uint *X = NULL;
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mbedtls_mpi_uint *Y = NULL;
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mbedtls_mpi_uint *buff_m = NULL;
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size_t limbs_X;
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size_t limbs_Y;
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mbedtls_mpi_mod_modulus m;
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mbedtls_mpi_mod_modulus_init(&m);
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TEST_EQUAL(mbedtls_test_read_mpi_core(&X, &limbs_X, input_X), 0);
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TEST_EQUAL(mbedtls_test_read_mpi_core(&Y, &limbs_Y, input_Y), 0);
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size_t limbs = limbs_X;
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size_t copy_limbs = CHARS_TO_LIMBS(input_bytes);
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size_t bytes = limbs * sizeof(mbedtls_mpi_uint);
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size_t copy_bytes = copy_limbs * sizeof(mbedtls_mpi_uint);
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TEST_EQUAL(limbs_X, limbs_Y);
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TEST_ASSERT(copy_limbs <= limbs);
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TEST_CALLOC(buff_m, copy_limbs);
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memset(buff_m, 0xFF, copy_limbs);
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TEST_EQUAL(mbedtls_mpi_mod_modulus_setup(
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&m, buff_m, copy_limbs), 0);
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/* condition is false */
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TEST_CF_SECRET(X, bytes);
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TEST_CF_SECRET(Y, bytes);
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mbedtls_mpi_mod_raw_cond_assign(X, Y, &m, 0);
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TEST_CF_PUBLIC(X, bytes);
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TEST_CF_PUBLIC(Y, bytes);
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TEST_ASSERT(memcmp(X, Y, bytes) != 0);
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/* condition is true */
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TEST_CF_SECRET(X, bytes);
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TEST_CF_SECRET(Y, bytes);
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mbedtls_mpi_mod_raw_cond_assign(X, Y, &m, 1);
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TEST_CF_PUBLIC(X, bytes);
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TEST_CF_PUBLIC(Y, bytes);
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/* Check if the given length is copied even it is smaller
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than the length of the given MPIs. */
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if (copy_limbs < limbs) {
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TEST_MEMORY_COMPARE(X, copy_bytes, Y, copy_bytes);
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TEST_ASSERT(memcmp(X, Y, bytes) != 0);
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} else {
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TEST_MEMORY_COMPARE(X, bytes, Y, bytes);
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}
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exit:
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mbedtls_free(X);
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mbedtls_free(Y);
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mbedtls_mpi_mod_modulus_free(&m);
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mbedtls_free(buff_m);
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}
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/* END_CASE */
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/* BEGIN_CASE */
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void mpi_mod_raw_cond_swap(char *input_X,
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char *input_Y,
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int input_bytes)
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{
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mbedtls_mpi_uint *tmp_X = NULL;
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mbedtls_mpi_uint *tmp_Y = NULL;
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mbedtls_mpi_uint *X = NULL;
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mbedtls_mpi_uint *Y = NULL;
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mbedtls_mpi_uint *buff_m = NULL;
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size_t limbs_X;
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size_t limbs_Y;
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mbedtls_mpi_mod_modulus m;
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mbedtls_mpi_mod_modulus_init(&m);
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TEST_EQUAL(mbedtls_test_read_mpi_core(&tmp_X, &limbs_X, input_X), 0);
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TEST_EQUAL(mbedtls_test_read_mpi_core(&tmp_Y, &limbs_Y, input_Y), 0);
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size_t limbs = limbs_X;
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size_t copy_limbs = CHARS_TO_LIMBS(input_bytes);
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size_t bytes = limbs * sizeof(mbedtls_mpi_uint);
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size_t copy_bytes = copy_limbs * sizeof(mbedtls_mpi_uint);
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TEST_EQUAL(limbs_X, limbs_Y);
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TEST_ASSERT(copy_limbs <= limbs);
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TEST_CALLOC(buff_m, copy_limbs);
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memset(buff_m, 0xFF, copy_limbs);
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TEST_EQUAL(mbedtls_mpi_mod_modulus_setup(
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&m, buff_m, copy_limbs), 0);
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TEST_CALLOC(X, limbs);
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memcpy(X, tmp_X, bytes);
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TEST_CALLOC(Y, bytes);
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memcpy(Y, tmp_Y, bytes);
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/* condition is false */
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TEST_CF_SECRET(X, bytes);
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TEST_CF_SECRET(Y, bytes);
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mbedtls_mpi_mod_raw_cond_swap(X, Y, &m, 0);
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TEST_CF_PUBLIC(X, bytes);
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TEST_CF_PUBLIC(Y, bytes);
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TEST_MEMORY_COMPARE(X, bytes, tmp_X, bytes);
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TEST_MEMORY_COMPARE(Y, bytes, tmp_Y, bytes);
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/* condition is true */
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TEST_CF_SECRET(X, bytes);
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TEST_CF_SECRET(Y, bytes);
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mbedtls_mpi_mod_raw_cond_swap(X, Y, &m, 1);
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TEST_CF_PUBLIC(X, bytes);
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TEST_CF_PUBLIC(Y, bytes);
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/* Check if the given length is copied even it is smaller
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than the length of the given MPIs. */
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if (copy_limbs < limbs) {
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TEST_MEMORY_COMPARE(X, copy_bytes, tmp_Y, copy_bytes);
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TEST_MEMORY_COMPARE(Y, copy_bytes, tmp_X, copy_bytes);
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TEST_ASSERT(memcmp(X, tmp_X, bytes) != 0);
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TEST_ASSERT(memcmp(X, tmp_Y, bytes) != 0);
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TEST_ASSERT(memcmp(Y, tmp_X, bytes) != 0);
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TEST_ASSERT(memcmp(Y, tmp_Y, bytes) != 0);
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} else {
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TEST_MEMORY_COMPARE(X, bytes, tmp_Y, bytes);
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TEST_MEMORY_COMPARE(Y, bytes, tmp_X, bytes);
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}
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exit:
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mbedtls_free(tmp_X);
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mbedtls_free(tmp_Y);
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mbedtls_free(X);
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mbedtls_free(Y);
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mbedtls_mpi_mod_modulus_free(&m);
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mbedtls_free(buff_m);
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}
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/* END_CASE */
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/* BEGIN_CASE */
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void mpi_mod_raw_sub(char *input_A,
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char *input_B,
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char *input_N,
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char *result)
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{
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mbedtls_mpi_uint *A = NULL;
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mbedtls_mpi_uint *B = NULL;
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mbedtls_mpi_uint *N = NULL;
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mbedtls_mpi_uint *X = NULL;
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mbedtls_mpi_uint *res = NULL;
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size_t limbs_A;
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size_t limbs_B;
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size_t limbs_N;
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size_t limbs_res;
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mbedtls_mpi_mod_modulus m;
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mbedtls_mpi_mod_modulus_init(&m);
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TEST_EQUAL(mbedtls_test_read_mpi_core(&A, &limbs_A, input_A), 0);
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TEST_EQUAL(mbedtls_test_read_mpi_core(&B, &limbs_B, input_B), 0);
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TEST_EQUAL(mbedtls_test_read_mpi_core(&N, &limbs_N, input_N), 0);
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TEST_EQUAL(mbedtls_test_read_mpi_core(&res, &limbs_res, result), 0);
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size_t limbs = limbs_N;
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size_t bytes = limbs * sizeof(mbedtls_mpi_uint);
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TEST_EQUAL(limbs_A, limbs);
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TEST_EQUAL(limbs_B, limbs);
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TEST_EQUAL(limbs_res, limbs);
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TEST_CALLOC(X, limbs);
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TEST_EQUAL(mbedtls_mpi_mod_modulus_setup(
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&m, N, limbs), 0);
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mbedtls_mpi_mod_raw_sub(X, A, B, &m);
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TEST_MEMORY_COMPARE(X, bytes, res, bytes);
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/* alias X to A */
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memcpy(X, A, bytes);
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mbedtls_mpi_mod_raw_sub(X, X, B, &m);
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TEST_MEMORY_COMPARE(X, bytes, res, bytes);
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/* alias X to B */
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memcpy(X, B, bytes);
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mbedtls_mpi_mod_raw_sub(X, A, X, &m);
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TEST_MEMORY_COMPARE(X, bytes, res, bytes);
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/* A == B: alias A and B */
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if (memcmp(A, B, bytes) == 0) {
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mbedtls_mpi_mod_raw_sub(X, A, A, &m);
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TEST_MEMORY_COMPARE(X, bytes, res, bytes);
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/* X, A, B all aliased together */
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memcpy(X, A, bytes);
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mbedtls_mpi_mod_raw_sub(X, X, X, &m);
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TEST_MEMORY_COMPARE(X, bytes, res, bytes);
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}
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exit:
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mbedtls_free(A);
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mbedtls_free(B);
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mbedtls_free(X);
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mbedtls_free(res);
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mbedtls_mpi_mod_modulus_free(&m);
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mbedtls_free(N);
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}
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/* END_CASE */
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/* BEGIN_CASE depends_on:MBEDTLS_TEST_HOOKS */
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void mpi_mod_raw_fix_quasi_reduction(char *input_N,
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char *input_X,
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char *result)
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{
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mbedtls_mpi_uint *X = NULL;
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mbedtls_mpi_uint *N = NULL;
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mbedtls_mpi_uint *res = NULL;
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mbedtls_mpi_uint *tmp = NULL;
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size_t limbs_X;
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size_t limbs_N;
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size_t limbs_res;
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mbedtls_mpi_mod_modulus m;
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mbedtls_mpi_mod_modulus_init(&m);
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TEST_EQUAL(mbedtls_test_read_mpi_core(&X, &limbs_X, input_X), 0);
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TEST_EQUAL(mbedtls_test_read_mpi_core(&N, &limbs_N, input_N), 0);
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TEST_EQUAL(mbedtls_test_read_mpi_core(&res, &limbs_res, result), 0);
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size_t limbs = limbs_N;
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size_t bytes = limbs * sizeof(mbedtls_mpi_uint);
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TEST_EQUAL(limbs_X, limbs);
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TEST_EQUAL(limbs_res, limbs);
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TEST_CALLOC(tmp, limbs);
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memcpy(tmp, X, bytes);
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/* Check that 0 <= X < 2N */
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mbedtls_mpi_uint c = mbedtls_mpi_core_sub(tmp, X, N, limbs);
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TEST_ASSERT(c || mbedtls_mpi_core_lt_ct(tmp, N, limbs));
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TEST_EQUAL(mbedtls_mpi_mod_modulus_setup(
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&m, N, limbs), 0);
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mbedtls_mpi_mod_raw_fix_quasi_reduction(X, &m);
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TEST_MEMORY_COMPARE(X, bytes, res, bytes);
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exit:
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mbedtls_free(X);
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mbedtls_free(res);
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mbedtls_free(tmp);
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mbedtls_mpi_mod_modulus_free(&m);
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mbedtls_free(N);
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}
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/* END_CASE */
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/* BEGIN_CASE */
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void mpi_mod_raw_mul(char *input_A,
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char *input_B,
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char *input_N,
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char *result)
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{
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mbedtls_mpi_uint *A = NULL;
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mbedtls_mpi_uint *B = NULL;
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mbedtls_mpi_uint *N = NULL;
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mbedtls_mpi_uint *X = NULL;
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mbedtls_mpi_uint *R = NULL;
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mbedtls_mpi_uint *T = NULL;
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size_t limbs_A;
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size_t limbs_B;
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size_t limbs_N;
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size_t limbs_R;
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mbedtls_mpi_mod_modulus m;
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mbedtls_mpi_mod_modulus_init(&m);
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TEST_EQUAL(mbedtls_test_read_mpi_core(&A, &limbs_A, input_A), 0);
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TEST_EQUAL(mbedtls_test_read_mpi_core(&B, &limbs_B, input_B), 0);
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TEST_EQUAL(mbedtls_test_read_mpi_core(&N, &limbs_N, input_N), 0);
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TEST_EQUAL(mbedtls_test_read_mpi_core(&R, &limbs_R, result), 0);
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const size_t limbs = limbs_N;
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const size_t bytes = limbs * sizeof(mbedtls_mpi_uint);
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TEST_EQUAL(limbs_A, limbs);
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TEST_EQUAL(limbs_B, limbs);
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TEST_EQUAL(limbs_R, limbs);
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TEST_CALLOC(X, limbs);
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TEST_EQUAL(mbedtls_mpi_mod_modulus_setup(
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&m, N, limbs), 0);
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const size_t limbs_T = limbs * 2 + 1;
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TEST_CALLOC(T, limbs_T);
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mbedtls_mpi_mod_raw_mul(X, A, B, &m, T);
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TEST_MEMORY_COMPARE(X, bytes, R, bytes);
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/* alias X to A */
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memcpy(X, A, bytes);
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mbedtls_mpi_mod_raw_mul(X, X, B, &m, T);
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TEST_MEMORY_COMPARE(X, bytes, R, bytes);
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/* alias X to B */
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memcpy(X, B, bytes);
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mbedtls_mpi_mod_raw_mul(X, A, X, &m, T);
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TEST_MEMORY_COMPARE(X, bytes, R, bytes);
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/* A == B: alias A and B */
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if (memcmp(A, B, bytes) == 0) {
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mbedtls_mpi_mod_raw_mul(X, A, A, &m, T);
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TEST_MEMORY_COMPARE(X, bytes, R, bytes);
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/* X, A, B all aliased together */
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memcpy(X, A, bytes);
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mbedtls_mpi_mod_raw_mul(X, X, X, &m, T);
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TEST_MEMORY_COMPARE(X, bytes, R, bytes);
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}
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/* A != B: test B * A */
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else {
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mbedtls_mpi_mod_raw_mul(X, B, A, &m, T);
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TEST_MEMORY_COMPARE(X, bytes, R, bytes);
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/* B * A: alias X to A */
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memcpy(X, A, bytes);
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mbedtls_mpi_mod_raw_mul(X, B, X, &m, T);
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TEST_MEMORY_COMPARE(X, bytes, R, bytes);
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/* B + A: alias X to B */
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memcpy(X, B, bytes);
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mbedtls_mpi_mod_raw_mul(X, X, A, &m, T);
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TEST_MEMORY_COMPARE(X, bytes, R, bytes);
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}
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exit:
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mbedtls_free(A);
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mbedtls_free(B);
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mbedtls_free(X);
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mbedtls_free(R);
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mbedtls_free(T);
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mbedtls_mpi_mod_modulus_free(&m);
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|
mbedtls_free(N);
|
|
}
|
|
/* END_CASE */
|
|
|
|
/* 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));
|
|
TEST_CALLOC(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);
|
|
|
|
TEST_CALLOC(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 */
|
|
|
|
/* 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);
|
|
|
|
TEST_CALLOC(X, limbs);
|
|
|
|
TEST_EQUAL(mbedtls_mpi_mod_modulus_setup(
|
|
&m, N, limbs), 0);
|
|
|
|
/* A + B => Correct result */
|
|
mbedtls_mpi_mod_raw_add(X, A, B, &m);
|
|
TEST_MEMORY_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);
|
|
TEST_MEMORY_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);
|
|
TEST_MEMORY_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);
|
|
TEST_MEMORY_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);
|
|
TEST_MEMORY_COMPARE(X, bytes, S, bytes);
|
|
} else {
|
|
/* A != B: test B + A */
|
|
|
|
/* B + A => Correct result */
|
|
mbedtls_mpi_mod_raw_add(X, B, A, &m);
|
|
TEST_MEMORY_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);
|
|
TEST_MEMORY_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);
|
|
TEST_MEMORY_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 */
|
|
|
|
/* 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));
|
|
TEST_MEMORY_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));
|
|
TEST_MEMORY_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_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));
|
|
|
|
/* 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);
|
|
TEST_CALLOC(T, temp_limbs);
|
|
TEST_CALLOC(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 */
|
|
TEST_MEMORY_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);
|
|
TEST_MEMORY_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 */
|
|
TEST_MEMORY_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));
|
|
|
|
/* 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);
|
|
TEST_CALLOC(T, temp_limbs);
|
|
TEST_CALLOC(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 */
|
|
TEST_MEMORY_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);
|
|
TEST_MEMORY_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 */
|
|
TEST_MEMORY_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);
|
|
|
|
TEST_CALLOC(R, n_limbs);
|
|
TEST_CALLOC(Z, n_limbs);
|
|
|
|
TEST_EQUAL(0, mbedtls_mpi_mod_modulus_setup(&m, N, n_limbs));
|
|
|
|
/* Neg( A == 0 ) => Zero result */
|
|
mbedtls_mpi_mod_raw_neg(R, Z, &m);
|
|
TEST_MEMORY_COMPARE(R, bytes, Z, bytes);
|
|
|
|
/* Neg( A == N ) => Zero result */
|
|
mbedtls_mpi_mod_raw_neg(R, N, &m);
|
|
TEST_MEMORY_COMPARE(R, bytes, Z, bytes);
|
|
|
|
/* Neg( A ) => Correct result */
|
|
mbedtls_mpi_mod_raw_neg(R, A, &m);
|
|
TEST_MEMORY_COMPARE(R, bytes, X, bytes);
|
|
|
|
/* Neg( A ): alias A to R => Correct result */
|
|
mbedtls_mpi_mod_raw_neg(A, A, &m);
|
|
TEST_MEMORY_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 */
|