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https://github.com/Mbed-TLS/mbedtls.git
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Extract Secp521r1 from the prototype
Signed-off-by: Gabor Mezei <gabor.mezei@arm.com>
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@ -5189,11 +5189,6 @@ cleanup:
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MBEDTLS_ECP_DP_SECP384R1_ENABLED */
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#if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
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/*
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* Here we have an actual Mersenne prime, so things are more straightforward.
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* However, chunks are aligned on a 'weird' boundary (521 bits).
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*/
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/* Size of p521 in terms of mbedtls_mpi_uint */
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#define P521_WIDTH (521 / 8 / sizeof(mbedtls_mpi_uint) + 1)
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@ -5201,48 +5196,56 @@ cleanup:
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#define P521_MASK 0x01FF
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/*
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* Fast quasi-reduction modulo p521 (FIPS 186-3 D.2.5)
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* Write N as A1 + 2^521 A0, return A0 + A1
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* Fast quasi-reduction modulo p521 = 2^521 - 1 (FIPS 186-3 D.2.5)
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*/
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static int ecp_mod_p521(mbedtls_mpi *N)
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{
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int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
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size_t i;
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mbedtls_mpi M;
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mbedtls_mpi_uint Mp[P521_WIDTH + 1];
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/* Worst case for the size of M is when mbedtls_mpi_uint is 16 bits:
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* we need to hold bits 513 to 1056, which is 34 limbs, that is
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* P521_WIDTH + 1. Otherwise P521_WIDTH is enough. */
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size_t expected_width = 2 * ((521 + biL - 1) / biL);
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MBEDTLS_MPI_CHK(mbedtls_mpi_grow(N, expected_width));
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ret = ecp_mod_p521_raw(N->p, expected_width);
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cleanup:
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return ret;
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}
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static int ecp_mod_p521_raw(mbedtls_mpi_uint *N_p, size_t N_n)
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{
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mbedtls_mpi_uint carry = 0;
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if (N->n < P521_WIDTH) {
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if (N_n > 2*P521_WIDTH) {
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N_n = 2*P521_WIDTH;
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}
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if (N_n < P521_WIDTH) {
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return 0;
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}
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/* M = A1 */
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M.s = 1;
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M.n = N->n - (P521_WIDTH - 1);
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if (M.n > P521_WIDTH + 1) {
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M.n = P521_WIDTH + 1;
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}
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M.p = Mp;
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memcpy(Mp, N->p + P521_WIDTH - 1, M.n * sizeof(mbedtls_mpi_uint));
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MBEDTLS_MPI_CHK(mbedtls_mpi_shift_r(&M, 521 % (8 * sizeof(mbedtls_mpi_uint))));
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/* Step 1: Reduction to P521_WIDTH limbs */
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if (N_n > P521_WIDTH) {
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/* Helper references for top part of N */
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mbedtls_mpi_uint *NT_p = N_p + P521_WIDTH;
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size_t NT_n = N_n - P521_WIDTH;
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/* N = A0 */
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N->p[P521_WIDTH - 1] &= P521_MASK;
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for (i = P521_WIDTH; i < N->n; i++) {
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N->p[i] = 0;
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/* Split N as A0 + 2^(512 + biL) A1 and compute A0 + 2^(biL - 9) * A1.
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* This can be done in place. */
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mbedtls_mpi_uint shift = ((mbedtls_mpi_uint) 1u) << (biL - 9);
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carry = MPI_CORE(mla)(N_p, P521_WIDTH, NT_p, NT_n, shift);
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/* Clear top part */
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memset(NT_p, 0, sizeof(mbedtls_mpi_uint) * NT_n);
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}
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/* N = A0 + A1 */
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MBEDTLS_MPI_CHK(mbedtls_mpi_add_abs(N, N, &M));
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/* Step 2: Reduction to < 2p.
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* Now split as A0 + 2^521 * c, with c a scalar, and compute A0 + c. */
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carry <<= (biL - 9);
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carry += (N_p[P521_WIDTH-1] >> 9);
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N_p[P521_WIDTH-1] &= P521_MASK;
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(void) mbedtls_core_add_int(N_p, N_p, carry, P521_WIDTH);
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cleanup:
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return ret;
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return 0;
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}
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#undef P521_WIDTH
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#undef P521_MASK
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#endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
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#endif /* MBEDTLS_ECP_NIST_OPTIM */
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