mirror of
https://github.com/rn10950/RetroZilla.git
synced 2024-11-14 11:40:13 +01:00
224 lines
5.2 KiB
C
224 lines
5.2 KiB
C
/* This Source Code Form is subject to the terms of the Mozilla Public
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* License, v. 2.0. If a copy of the MPL was not distributed with this
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* file, You can obtain one at http://mozilla.org/MPL/2.0/. */
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#include "ec2.h"
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#include "mp_gf2m.h"
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#include "mp_gf2m-priv.h"
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#include "mpi.h"
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#include "mpi-priv.h"
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#include <stdlib.h>
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/* Fast reduction for polynomials over a 163-bit curve. Assumes reduction
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* polynomial with terms {163, 7, 6, 3, 0}. */
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mp_err
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ec_GF2m_163_mod(const mp_int *a, mp_int *r, const GFMethod *meth)
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{
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mp_err res = MP_OKAY;
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mp_digit *u, z;
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if (a != r) {
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MP_CHECKOK(mp_copy(a, r));
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}
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#ifdef ECL_SIXTY_FOUR_BIT
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if (MP_USED(r) < 6) {
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MP_CHECKOK(s_mp_pad(r, 6));
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}
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u = MP_DIGITS(r);
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MP_USED(r) = 6;
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/* u[5] only has 6 significant bits */
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z = u[5];
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u[2] ^= (z << 36) ^ (z << 35) ^ (z << 32) ^ (z << 29);
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z = u[4];
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u[2] ^= (z >> 28) ^ (z >> 29) ^ (z >> 32) ^ (z >> 35);
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u[1] ^= (z << 36) ^ (z << 35) ^ (z << 32) ^ (z << 29);
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z = u[3];
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u[1] ^= (z >> 28) ^ (z >> 29) ^ (z >> 32) ^ (z >> 35);
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u[0] ^= (z << 36) ^ (z << 35) ^ (z << 32) ^ (z << 29);
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z = u[2] >> 35; /* z only has 29 significant bits */
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u[0] ^= (z << 7) ^ (z << 6) ^ (z << 3) ^ z;
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/* clear bits above 163 */
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u[5] = u[4] = u[3] = 0;
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u[2] ^= z << 35;
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#else
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if (MP_USED(r) < 11) {
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MP_CHECKOK(s_mp_pad(r, 11));
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}
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u = MP_DIGITS(r);
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MP_USED(r) = 11;
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/* u[11] only has 6 significant bits */
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z = u[10];
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u[5] ^= (z << 4) ^ (z << 3) ^ z ^ (z >> 3);
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u[4] ^= (z << 29);
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z = u[9];
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u[5] ^= (z >> 28) ^ (z >> 29);
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u[4] ^= (z << 4) ^ (z << 3) ^ z ^ (z >> 3);
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u[3] ^= (z << 29);
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z = u[8];
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u[4] ^= (z >> 28) ^ (z >> 29);
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u[3] ^= (z << 4) ^ (z << 3) ^ z ^ (z >> 3);
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u[2] ^= (z << 29);
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z = u[7];
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u[3] ^= (z >> 28) ^ (z >> 29);
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u[2] ^= (z << 4) ^ (z << 3) ^ z ^ (z >> 3);
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u[1] ^= (z << 29);
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z = u[6];
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u[2] ^= (z >> 28) ^ (z >> 29);
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u[1] ^= (z << 4) ^ (z << 3) ^ z ^ (z >> 3);
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u[0] ^= (z << 29);
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z = u[5] >> 3; /* z only has 29 significant bits */
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u[1] ^= (z >> 25) ^ (z >> 26);
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u[0] ^= (z << 7) ^ (z << 6) ^ (z << 3) ^ z;
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/* clear bits above 163 */
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u[11] = u[10] = u[9] = u[8] = u[7] = u[6] = 0;
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u[5] ^= z << 3;
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#endif
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s_mp_clamp(r);
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CLEANUP:
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return res;
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}
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/* Fast squaring for polynomials over a 163-bit curve. Assumes reduction
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* polynomial with terms {163, 7, 6, 3, 0}. */
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mp_err
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ec_GF2m_163_sqr(const mp_int *a, mp_int *r, const GFMethod *meth)
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{
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mp_err res = MP_OKAY;
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mp_digit *u, *v;
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v = MP_DIGITS(a);
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#ifdef ECL_SIXTY_FOUR_BIT
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if (MP_USED(a) < 3) {
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return mp_bsqrmod(a, meth->irr_arr, r);
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}
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if (MP_USED(r) < 6) {
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MP_CHECKOK(s_mp_pad(r, 6));
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}
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MP_USED(r) = 6;
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#else
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if (MP_USED(a) < 6) {
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return mp_bsqrmod(a, meth->irr_arr, r);
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}
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if (MP_USED(r) < 12) {
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MP_CHECKOK(s_mp_pad(r, 12));
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}
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MP_USED(r) = 12;
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#endif
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u = MP_DIGITS(r);
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#ifdef ECL_THIRTY_TWO_BIT
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u[11] = gf2m_SQR1(v[5]);
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u[10] = gf2m_SQR0(v[5]);
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u[9] = gf2m_SQR1(v[4]);
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u[8] = gf2m_SQR0(v[4]);
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u[7] = gf2m_SQR1(v[3]);
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u[6] = gf2m_SQR0(v[3]);
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#endif
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u[5] = gf2m_SQR1(v[2]);
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u[4] = gf2m_SQR0(v[2]);
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u[3] = gf2m_SQR1(v[1]);
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u[2] = gf2m_SQR0(v[1]);
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u[1] = gf2m_SQR1(v[0]);
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u[0] = gf2m_SQR0(v[0]);
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return ec_GF2m_163_mod(r, r, meth);
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CLEANUP:
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return res;
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}
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/* Fast multiplication for polynomials over a 163-bit curve. Assumes
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* reduction polynomial with terms {163, 7, 6, 3, 0}. */
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mp_err
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ec_GF2m_163_mul(const mp_int *a, const mp_int *b, mp_int *r,
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const GFMethod *meth)
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{
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mp_err res = MP_OKAY;
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mp_digit a2 = 0, a1 = 0, a0, b2 = 0, b1 = 0, b0;
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#ifdef ECL_THIRTY_TWO_BIT
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mp_digit a5 = 0, a4 = 0, a3 = 0, b5 = 0, b4 = 0, b3 = 0;
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mp_digit rm[6];
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#endif
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if (a == b) {
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return ec_GF2m_163_sqr(a, r, meth);
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} else {
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switch (MP_USED(a)) {
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#ifdef ECL_THIRTY_TWO_BIT
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case 6:
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a5 = MP_DIGIT(a, 5);
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case 5:
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a4 = MP_DIGIT(a, 4);
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case 4:
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a3 = MP_DIGIT(a, 3);
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#endif
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case 3:
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a2 = MP_DIGIT(a, 2);
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case 2:
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a1 = MP_DIGIT(a, 1);
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default:
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a0 = MP_DIGIT(a, 0);
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}
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switch (MP_USED(b)) {
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#ifdef ECL_THIRTY_TWO_BIT
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case 6:
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b5 = MP_DIGIT(b, 5);
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case 5:
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b4 = MP_DIGIT(b, 4);
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case 4:
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b3 = MP_DIGIT(b, 3);
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#endif
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case 3:
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b2 = MP_DIGIT(b, 2);
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case 2:
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b1 = MP_DIGIT(b, 1);
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default:
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b0 = MP_DIGIT(b, 0);
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}
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#ifdef ECL_SIXTY_FOUR_BIT
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MP_CHECKOK(s_mp_pad(r, 6));
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s_bmul_3x3(MP_DIGITS(r), a2, a1, a0, b2, b1, b0);
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MP_USED(r) = 6;
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s_mp_clamp(r);
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#else
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MP_CHECKOK(s_mp_pad(r, 12));
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s_bmul_3x3(MP_DIGITS(r) + 6, a5, a4, a3, b5, b4, b3);
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s_bmul_3x3(MP_DIGITS(r), a2, a1, a0, b2, b1, b0);
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s_bmul_3x3(rm, a5 ^ a2, a4 ^ a1, a3 ^ a0, b5 ^ b2, b4 ^ b1,
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b3 ^ b0);
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rm[5] ^= MP_DIGIT(r, 5) ^ MP_DIGIT(r, 11);
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rm[4] ^= MP_DIGIT(r, 4) ^ MP_DIGIT(r, 10);
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rm[3] ^= MP_DIGIT(r, 3) ^ MP_DIGIT(r, 9);
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rm[2] ^= MP_DIGIT(r, 2) ^ MP_DIGIT(r, 8);
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rm[1] ^= MP_DIGIT(r, 1) ^ MP_DIGIT(r, 7);
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rm[0] ^= MP_DIGIT(r, 0) ^ MP_DIGIT(r, 6);
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MP_DIGIT(r, 8) ^= rm[5];
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MP_DIGIT(r, 7) ^= rm[4];
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MP_DIGIT(r, 6) ^= rm[3];
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MP_DIGIT(r, 5) ^= rm[2];
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MP_DIGIT(r, 4) ^= rm[1];
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MP_DIGIT(r, 3) ^= rm[0];
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MP_USED(r) = 12;
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s_mp_clamp(r);
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#endif
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return ec_GF2m_163_mod(r, r, meth);
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}
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CLEANUP:
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return res;
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}
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/* Wire in fast field arithmetic for 163-bit curves. */
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mp_err
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ec_group_set_gf2m163(ECGroup *group, ECCurveName name)
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{
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group->meth->field_mod = &ec_GF2m_163_mod;
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group->meth->field_mul = &ec_GF2m_163_mul;
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group->meth->field_sqr = &ec_GF2m_163_sqr;
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return MP_OKAY;
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}
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