f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers/*
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * ***** BEGIN LICENSE BLOCK *****
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * Version: MPL 1.1/GPL 2.0/LGPL 2.1
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers *
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * The contents of this file are subject to the Mozilla Public License Version
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * 1.1 (the "License"); you may not use this file except in compliance with
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * the License. You may obtain a copy of the License at
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * http://www.mozilla.org/MPL/
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers *
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * Software distributed under the License is distributed on an "AS IS" basis,
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * for the specific language governing rights and limitations under the
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * License.
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers *
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * The Original Code is the elliptic curve math library for binary polynomial field curves.
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers *
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * The Initial Developer of the Original Code is
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * Sun Microsystems, Inc.
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * Portions created by the Initial Developer are Copyright (C) 2003
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * the Initial Developer. All Rights Reserved.
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers *
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * Contributor(s):
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * Sheueling Chang-Shantz <sheueling.chang@sun.com>,
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * Stephen Fung <fungstep@hotmail.com>, and
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * Douglas Stebila <douglas@stebila.ca>, Sun Microsystems Laboratories.
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers *
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * Alternatively, the contents of this file may be used under the terms of
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * either the GNU General Public License Version 2 or later (the "GPL"), or
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * the GNU Lesser General Public License Version 2.1 or later (the "LGPL"),
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * in which case the provisions of the GPL or the LGPL are applicable instead
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * of those above. If you wish to allow use of your version of this file only
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * under the terms of either the GPL or the LGPL, and not to allow others to
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * use your version of this file under the terms of the MPL, indicate your
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * decision by deleting the provisions above and replace them with the notice
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * and other provisions required by the GPL or the LGPL. If you do not delete
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * the provisions above, a recipient may use your version of this file under
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * the terms of any one of the MPL, the GPL or the LGPL.
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers *
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * ***** END LICENSE BLOCK ***** */
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers/*
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * Copyright 2007 Sun Microsystems, Inc. All rights reserved.
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * Use is subject to license terms.
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers *
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * Sun elects to use this software under the MPL license.
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers */
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers#pragma ident "%Z%%M% %I% %E% SMI"
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers#include "ec2.h"
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers#include "mp_gf2m.h"
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers#include "mp_gf2m-priv.h"
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers#include "mpi.h"
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers#include "mpi-priv.h"
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers#ifndef _KERNEL
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers#include <stdlib.h>
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers#endif
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers/* Fast reduction for polynomials over a 193-bit curve. Assumes reduction
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * polynomial with terms {193, 15, 0}. */
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowersmp_err
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowersec_GF2m_193_mod(const mp_int *a, mp_int *r, const GFMethod *meth)
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers{
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers mp_err res = MP_OKAY;
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers mp_digit *u, z;
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers if (a != r) {
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers MP_CHECKOK(mp_copy(a, r));
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers }
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers#ifdef ECL_SIXTY_FOUR_BIT
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers if (MP_USED(r) < 7) {
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers MP_CHECKOK(s_mp_pad(r, 7));
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers }
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u = MP_DIGITS(r);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers MP_USED(r) = 7;
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers /* u[6] only has 2 significant bits */
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers z = u[6];
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[3] ^= (z << 14) ^ (z >> 1);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[2] ^= (z << 63);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers z = u[5];
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[3] ^= (z >> 50);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[2] ^= (z << 14) ^ (z >> 1);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[1] ^= (z << 63);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers z = u[4];
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[2] ^= (z >> 50);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[1] ^= (z << 14) ^ (z >> 1);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[0] ^= (z << 63);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers z = u[3] >> 1; /* z only has 63 significant bits */
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[1] ^= (z >> 49);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[0] ^= (z << 15) ^ z;
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers /* clear bits above 193 */
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[6] = u[5] = u[4] = 0;
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[3] ^= z << 1;
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers#else
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers if (MP_USED(r) < 13) {
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers MP_CHECKOK(s_mp_pad(r, 13));
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers }
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u = MP_DIGITS(r);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers MP_USED(r) = 13;
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers /* u[12] only has 2 significant bits */
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers z = u[12];
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[6] ^= (z << 14) ^ (z >> 1);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[5] ^= (z << 31);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers z = u[11];
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[6] ^= (z >> 18);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[5] ^= (z << 14) ^ (z >> 1);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[4] ^= (z << 31);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers z = u[10];
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[5] ^= (z >> 18);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[4] ^= (z << 14) ^ (z >> 1);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[3] ^= (z << 31);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers z = u[9];
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[4] ^= (z >> 18);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[3] ^= (z << 14) ^ (z >> 1);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[2] ^= (z << 31);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers z = u[8];
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[3] ^= (z >> 18);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[2] ^= (z << 14) ^ (z >> 1);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[1] ^= (z << 31);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers z = u[7];
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[2] ^= (z >> 18);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[1] ^= (z << 14) ^ (z >> 1);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[0] ^= (z << 31);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers z = u[6] >> 1; /* z only has 31 significant bits */
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[1] ^= (z >> 17);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[0] ^= (z << 15) ^ z;
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers /* clear bits above 193 */
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[12] = u[11] = u[10] = u[9] = u[8] = u[7] = 0;
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[6] ^= z << 1;
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers#endif
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers s_mp_clamp(r);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers CLEANUP:
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers return res;
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers}
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers/* Fast squaring for polynomials over a 193-bit curve. Assumes reduction
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * polynomial with terms {193, 15, 0}. */
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowersmp_err
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowersec_GF2m_193_sqr(const mp_int *a, mp_int *r, const GFMethod *meth)
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers{
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers mp_err res = MP_OKAY;
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers mp_digit *u, *v;
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers v = MP_DIGITS(a);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers#ifdef ECL_SIXTY_FOUR_BIT
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers if (MP_USED(a) < 4) {
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers return mp_bsqrmod(a, meth->irr_arr, r);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers }
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers if (MP_USED(r) < 7) {
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers MP_CHECKOK(s_mp_pad(r, 7));
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers }
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers MP_USED(r) = 7;
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers#else
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers if (MP_USED(a) < 7) {
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers return mp_bsqrmod(a, meth->irr_arr, r);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers }
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers if (MP_USED(r) < 13) {
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers MP_CHECKOK(s_mp_pad(r, 13));
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers }
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers MP_USED(r) = 13;
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers#endif
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u = MP_DIGITS(r);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers#ifdef ECL_THIRTY_TWO_BIT
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[12] = gf2m_SQR0(v[6]);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[11] = gf2m_SQR1(v[5]);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[10] = gf2m_SQR0(v[5]);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[9] = gf2m_SQR1(v[4]);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[8] = gf2m_SQR0(v[4]);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[7] = gf2m_SQR1(v[3]);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers#endif
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[6] = gf2m_SQR0(v[3]);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[5] = gf2m_SQR1(v[2]);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[4] = gf2m_SQR0(v[2]);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[3] = gf2m_SQR1(v[1]);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[2] = gf2m_SQR0(v[1]);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[1] = gf2m_SQR1(v[0]);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers u[0] = gf2m_SQR0(v[0]);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers return ec_GF2m_193_mod(r, r, meth);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers CLEANUP:
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers return res;
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers}
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers/* Fast multiplication for polynomials over a 193-bit curve. Assumes
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers * reduction polynomial with terms {193, 15, 0}. */
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowersmp_err
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowersec_GF2m_193_mul(const mp_int *a, const mp_int *b, mp_int *r,
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers const GFMethod *meth)
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers{
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers mp_err res = MP_OKAY;
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers mp_digit a3 = 0, a2 = 0, a1 = 0, a0, b3 = 0, b2 = 0, b1 = 0, b0;
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers#ifdef ECL_THIRTY_TWO_BIT
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers mp_digit a6 = 0, a5 = 0, a4 = 0, b6 = 0, b5 = 0, b4 = 0;
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers mp_digit rm[8];
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers#endif
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers if (a == b) {
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers return ec_GF2m_193_sqr(a, r, meth);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers } else {
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers switch (MP_USED(a)) {
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers#ifdef ECL_THIRTY_TWO_BIT
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers case 7:
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers a6 = MP_DIGIT(a, 6);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers case 6:
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers a5 = MP_DIGIT(a, 5);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers case 5:
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers a4 = MP_DIGIT(a, 4);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers#endif
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers case 4:
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers a3 = MP_DIGIT(a, 3);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers case 3:
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers a2 = MP_DIGIT(a, 2);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers case 2:
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers a1 = MP_DIGIT(a, 1);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers default:
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers a0 = MP_DIGIT(a, 0);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers }
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers switch (MP_USED(b)) {
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers#ifdef ECL_THIRTY_TWO_BIT
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers case 7:
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers b6 = MP_DIGIT(b, 6);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers case 6:
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers b5 = MP_DIGIT(b, 5);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers case 5:
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers b4 = MP_DIGIT(b, 4);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers#endif
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers case 4:
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers b3 = MP_DIGIT(b, 3);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers case 3:
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers b2 = MP_DIGIT(b, 2);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers case 2:
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers b1 = MP_DIGIT(b, 1);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers default:
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers b0 = MP_DIGIT(b, 0);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers }
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers#ifdef ECL_SIXTY_FOUR_BIT
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers MP_CHECKOK(s_mp_pad(r, 8));
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers s_bmul_4x4(MP_DIGITS(r), a3, a2, a1, a0, b3, b2, b1, b0);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers MP_USED(r) = 8;
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers s_mp_clamp(r);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers#else
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers MP_CHECKOK(s_mp_pad(r, 14));
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers s_bmul_3x3(MP_DIGITS(r) + 8, a6, a5, a4, b6, b5, b4);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers s_bmul_4x4(MP_DIGITS(r), a3, a2, a1, a0, b3, b2, b1, b0);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers s_bmul_4x4(rm, a3, a6 ^ a2, a5 ^ a1, a4 ^ a0, b3, b6 ^ b2, b5 ^ b1,
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers b4 ^ b0);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers rm[7] ^= MP_DIGIT(r, 7);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers rm[6] ^= MP_DIGIT(r, 6);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers rm[5] ^= MP_DIGIT(r, 5) ^ MP_DIGIT(r, 13);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers rm[4] ^= MP_DIGIT(r, 4) ^ MP_DIGIT(r, 12);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers rm[3] ^= MP_DIGIT(r, 3) ^ MP_DIGIT(r, 11);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers rm[2] ^= MP_DIGIT(r, 2) ^ MP_DIGIT(r, 10);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers rm[1] ^= MP_DIGIT(r, 1) ^ MP_DIGIT(r, 9);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers rm[0] ^= MP_DIGIT(r, 0) ^ MP_DIGIT(r, 8);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers MP_DIGIT(r, 11) ^= rm[7];
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers MP_DIGIT(r, 10) ^= rm[6];
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers MP_DIGIT(r, 9) ^= rm[5];
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers MP_DIGIT(r, 8) ^= rm[4];
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers MP_DIGIT(r, 7) ^= rm[3];
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers MP_DIGIT(r, 6) ^= rm[2];
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers MP_DIGIT(r, 5) ^= rm[1];
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers MP_DIGIT(r, 4) ^= rm[0];
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers MP_USED(r) = 14;
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers s_mp_clamp(r);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers#endif
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers return ec_GF2m_193_mod(r, r, meth);
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers }
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers CLEANUP:
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers return res;
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers}
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers/* Wire in fast field arithmetic for 193-bit curves. */
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowersmp_err
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowersec_group_set_gf2m193(ECGroup *group, ECCurveName name)
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers{
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers group->meth->field_mod = &ec_GF2m_193_mod;
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers group->meth->field_mul = &ec_GF2m_193_mul;
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers group->meth->field_sqr = &ec_GF2m_193_sqr;
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers return MP_OKAY;
f9fbec18f5b458b560ecf45d3db8e8bd56bf6942mcpowers}