jdk/src/share/native/sun/security/ec/impl/ecp_224.c
author vinnie
Mon, 30 May 2011 16:37:42 +0100
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7049173: Replace the software license for ECC native code Reviewed-by: alanb
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/*
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 * Copyright (c) 2007, 2011, Oracle and/or its affiliates. All rights reserved.
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 * Use is subject to license terms.
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 *
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 * This library is free software; you can redistribute it and/or
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 * modify it under the terms of the GNU Lesser General Public
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 * License as published by the Free Software Foundation; either
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 * version 2.1 of the License, or (at your option) any later version.
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 *
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 * This library is distributed in the hope that it will be useful,
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 * but WITHOUT ANY WARRANTY; without even the implied warranty of
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 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
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 * Lesser General Public License for more details.
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 *
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 * You should have received a copy of the GNU Lesser General Public License
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 * along with this library; if not, write to the Free Software Foundation,
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 * Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
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 *
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 * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
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 * or visit www.oracle.com if you need additional information or have any
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 * questions.
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 */
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/* *********************************************************************
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 *
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 * The Original Code is the elliptic curve math library for prime field curves.
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 *
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 * The Initial Developer of the Original Code is
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 * Sun Microsystems, Inc.
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 * Portions created by the Initial Developer are Copyright (C) 2003
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 * the Initial Developer. All Rights Reserved.
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 *
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 * Contributor(s):
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 *   Douglas Stebila <douglas@stebila.ca>, Sun Microsystems Laboratories
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 *
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 *********************************************************************** */
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#include "ecp.h"
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#include "mpi.h"
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#include "mplogic.h"
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#include "mpi-priv.h"
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#ifndef _KERNEL
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#include <stdlib.h>
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#endif
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#define ECP224_DIGITS ECL_CURVE_DIGITS(224)
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/* Fast modular reduction for p224 = 2^224 - 2^96 + 1.  a can be r. Uses
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 * algorithm 7 from Brown, Hankerson, Lopez, Menezes. Software
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 * Implementation of the NIST Elliptic Curves over Prime Fields. */
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mp_err
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ec_GFp_nistp224_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_size a_used = MP_USED(a);
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        int    r3b;
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        mp_digit carry;
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#ifdef ECL_THIRTY_TWO_BIT
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        mp_digit a6a = 0, a6b = 0,
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                a5a = 0, a5b = 0, a4a = 0, a4b = 0, a3a = 0, a3b = 0;
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        mp_digit r0a, r0b, r1a, r1b, r2a, r2b, r3a;
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#else
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        mp_digit a6 = 0, a5 = 0, a4 = 0, a3b = 0, a5a = 0;
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        mp_digit a6b = 0, a6a_a5b = 0, a5b = 0, a5a_a4b = 0, a4a_a3b = 0;
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        mp_digit r0, r1, r2, r3;
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#endif
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        /* reduction not needed if a is not larger than field size */
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        if (a_used < ECP224_DIGITS) {
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                if (a == r) return MP_OKAY;
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                return mp_copy(a, r);
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        }
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        /* for polynomials larger than twice the field size, use regular
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         * reduction */
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        if (a_used > ECL_CURVE_DIGITS(224*2)) {
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                MP_CHECKOK(mp_mod(a, &meth->irr, r));
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        } else {
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#ifdef ECL_THIRTY_TWO_BIT
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                /* copy out upper words of a */
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                switch (a_used) {
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                case 14:
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                        a6b = MP_DIGIT(a, 13);
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                case 13:
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                        a6a = MP_DIGIT(a, 12);
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                case 12:
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                        a5b = MP_DIGIT(a, 11);
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                case 11:
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                        a5a = MP_DIGIT(a, 10);
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                case 10:
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                        a4b = MP_DIGIT(a, 9);
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                case 9:
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                        a4a = MP_DIGIT(a, 8);
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                case 8:
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                        a3b = MP_DIGIT(a, 7);
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                }
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                r3a = MP_DIGIT(a, 6);
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                r2b= MP_DIGIT(a, 5);
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                r2a= MP_DIGIT(a, 4);
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                r1b = MP_DIGIT(a, 3);
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                r1a = MP_DIGIT(a, 2);
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                r0b = MP_DIGIT(a, 1);
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                r0a = MP_DIGIT(a, 0);
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                /* implement r = (a3a,a2,a1,a0)
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                        +(a5a, a4,a3b,  0)
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                        +(  0, a6,a5b,  0)
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                        -(  0    0,    0|a6b, a6a|a5b )
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                        -(  a6b, a6a|a5b, a5a|a4b, a4a|a3b ) */
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                MP_ADD_CARRY (r1b, a3b, r1b, 0,     carry);
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                MP_ADD_CARRY (r2a, a4a, r2a, carry, carry);
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                MP_ADD_CARRY (r2b, a4b, r2b, carry, carry);
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                MP_ADD_CARRY (r3a, a5a, r3a, carry, carry);
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                r3b = carry;
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                MP_ADD_CARRY (r1b, a5b, r1b, 0,     carry);
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                MP_ADD_CARRY (r2a, a6a, r2a, carry, carry);
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                MP_ADD_CARRY (r2b, a6b, r2b, carry, carry);
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                MP_ADD_CARRY (r3a,   0, r3a, carry, carry);
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                r3b += carry;
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                MP_SUB_BORROW(r0a, a3b, r0a, 0,     carry);
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                MP_SUB_BORROW(r0b, a4a, r0b, carry, carry);
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                MP_SUB_BORROW(r1a, a4b, r1a, carry, carry);
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   124
                MP_SUB_BORROW(r1b, a5a, r1b, carry, carry);
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   125
                MP_SUB_BORROW(r2a, a5b, r2a, carry, carry);
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   126
                MP_SUB_BORROW(r2b, a6a, r2b, carry, carry);
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   127
                MP_SUB_BORROW(r3a, a6b, r3a, carry, carry);
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   128
                r3b -= carry;
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   129
                MP_SUB_BORROW(r0a, a5b, r0a, 0,     carry);
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   130
                MP_SUB_BORROW(r0b, a6a, r0b, carry, carry);
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   131
                MP_SUB_BORROW(r1a, a6b, r1a, carry, carry);
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   132
                if (carry) {
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   133
                        MP_SUB_BORROW(r1b, 0, r1b, carry, carry);
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   134
                        MP_SUB_BORROW(r2a, 0, r2a, carry, carry);
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   135
                        MP_SUB_BORROW(r2b, 0, r2b, carry, carry);
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   136
                        MP_SUB_BORROW(r3a, 0, r3a, carry, carry);
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   137
                        r3b -= carry;
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   138
                }
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   139
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   140
                while (r3b > 0) {
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   141
                        int tmp;
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   142
                        MP_ADD_CARRY(r1b, r3b, r1b, 0,     carry);
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   143
                        if (carry) {
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   144
                                MP_ADD_CARRY(r2a,  0, r2a, carry, carry);
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   145
                                MP_ADD_CARRY(r2b,  0, r2b, carry, carry);
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   146
                                MP_ADD_CARRY(r3a,  0, r3a, carry, carry);
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   147
                        }
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   148
                        tmp = carry;
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   149
                        MP_SUB_BORROW(r0a, r3b, r0a, 0,     carry);
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   150
                        if (carry) {
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   151
                                MP_SUB_BORROW(r0b, 0, r0b, carry, carry);
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   152
                                MP_SUB_BORROW(r1a, 0, r1a, carry, carry);
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   153
                                MP_SUB_BORROW(r1b, 0, r1b, carry, carry);
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   154
                                MP_SUB_BORROW(r2a, 0, r2a, carry, carry);
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   155
                                MP_SUB_BORROW(r2b, 0, r2b, carry, carry);
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   156
                                MP_SUB_BORROW(r3a, 0, r3a, carry, carry);
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   157
                                tmp -= carry;
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   158
                        }
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   159
                        r3b = tmp;
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   160
                }
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   161
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   162
                while (r3b < 0) {
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   163
                        mp_digit maxInt = MP_DIGIT_MAX;
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   164
                        MP_ADD_CARRY (r0a, 1, r0a, 0,     carry);
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   165
                        MP_ADD_CARRY (r0b, 0, r0b, carry, carry);
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   166
                        MP_ADD_CARRY (r1a, 0, r1a, carry, carry);
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   167
                        MP_ADD_CARRY (r1b, maxInt, r1b, carry, carry);
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   168
                        MP_ADD_CARRY (r2a, maxInt, r2a, carry, carry);
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   169
                        MP_ADD_CARRY (r2b, maxInt, r2b, carry, carry);
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   170
                        MP_ADD_CARRY (r3a, maxInt, r3a, carry, carry);
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   171
                        r3b += carry;
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   172
                }
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   173
                /* check for final reduction */
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   174
                /* now the only way we are over is if the top 4 words are all ones */
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   175
                if ((r3a == MP_DIGIT_MAX) && (r2b == MP_DIGIT_MAX)
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   176
                        && (r2a == MP_DIGIT_MAX) && (r1b == MP_DIGIT_MAX) &&
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   177
                         ((r1a != 0) || (r0b != 0) || (r0a != 0)) ) {
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   178
                        /* one last subraction */
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   179
                        MP_SUB_BORROW(r0a, 1, r0a, 0,     carry);
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   180
                        MP_SUB_BORROW(r0b, 0, r0b, carry, carry);
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   181
                        MP_SUB_BORROW(r1a, 0, r1a, carry, carry);
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   182
                        r1b = r2a = r2b = r3a = 0;
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   183
                }
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   184
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   185
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   186
                if (a != r) {
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   187
                        MP_CHECKOK(s_mp_pad(r, 7));
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   188
                }
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   189
                /* set the lower words of r */
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   190
                MP_SIGN(r) = MP_ZPOS;
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   191
                MP_USED(r) = 7;
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   192
                MP_DIGIT(r, 6) = r3a;
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   193
                MP_DIGIT(r, 5) = r2b;
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   194
                MP_DIGIT(r, 4) = r2a;
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   195
                MP_DIGIT(r, 3) = r1b;
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   196
                MP_DIGIT(r, 2) = r1a;
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   197
                MP_DIGIT(r, 1) = r0b;
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   198
                MP_DIGIT(r, 0) = r0a;
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   199
#else
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   200
                /* copy out upper words of a */
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   201
                switch (a_used) {
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   202
                case 7:
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   203
                        a6 = MP_DIGIT(a, 6);
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   204
                        a6b = a6 >> 32;
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   205
                        a6a_a5b = a6 << 32;
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   206
                case 6:
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   207
                        a5 = MP_DIGIT(a, 5);
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diff changeset
   208
                        a5b = a5 >> 32;
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diff changeset
   209
                        a6a_a5b |= a5b;
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   210
                        a5b = a5b << 32;
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diff changeset
   211
                        a5a_a4b = a5 << 32;
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   212
                        a5a = a5 & 0xffffffff;
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   213
                case 5:
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   214
                        a4 = MP_DIGIT(a, 4);
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diff changeset
   215
                        a5a_a4b |= a4 >> 32;
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diff changeset
   216
                        a4a_a3b = a4 << 32;
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   217
                case 4:
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   218
                        a3b = MP_DIGIT(a, 3) >> 32;
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   219
                        a4a_a3b |= a3b;
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   220
                        a3b = a3b << 32;
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diff changeset
   221
                }
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   222
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   223
                r3 = MP_DIGIT(a, 3) & 0xffffffff;
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   224
                r2 = MP_DIGIT(a, 2);
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   225
                r1 = MP_DIGIT(a, 1);
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   226
                r0 = MP_DIGIT(a, 0);
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   227
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   228
                /* implement r = (a3a,a2,a1,a0)
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diff changeset
   229
                        +(a5a, a4,a3b,  0)
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diff changeset
   230
                        +(  0, a6,a5b,  0)
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diff changeset
   231
                        -(  0    0,    0|a6b, a6a|a5b )
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   232
                        -(  a6b, a6a|a5b, a5a|a4b, a4a|a3b ) */
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diff changeset
   233
                MP_ADD_CARRY_ZERO (r1, a3b, r1, carry);
3863
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   234
                MP_ADD_CARRY (r2, a4 , r2, carry, carry);
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   235
                MP_ADD_CARRY (r3, a5a, r3, carry, carry);
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diff changeset
   236
                MP_ADD_CARRY_ZERO (r1, a5b, r1, carry);
3863
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diff changeset
   237
                MP_ADD_CARRY (r2, a6 , r2, carry, carry);
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diff changeset
   238
                MP_ADD_CARRY (r3,   0, r3, carry, carry);
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diff changeset
   239
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diff changeset
   240
                MP_SUB_BORROW(r0, a4a_a3b, r0, 0,     carry);
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                MP_SUB_BORROW(r1, a5a_a4b, r1, carry, carry);
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   242
                MP_SUB_BORROW(r2, a6a_a5b, r2, carry, carry);
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   243
                MP_SUB_BORROW(r3, a6b    , r3, carry, carry);
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                MP_SUB_BORROW(r0, a6a_a5b, r0, 0,     carry);
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                MP_SUB_BORROW(r1, a6b    , r1, carry, carry);
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   246
                if (carry) {
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                        MP_SUB_BORROW(r2, 0, r2, carry, carry);
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                        MP_SUB_BORROW(r3, 0, r3, carry, carry);
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                }
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   250
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   251
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                /* if the value is negative, r3 has a 2's complement
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                 * high value */
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                r3b = (int)(r3 >>32);
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   255
                while (r3b > 0) {
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                        r3 &= 0xffffffff;
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                        MP_ADD_CARRY_ZERO(r1,((mp_digit)r3b) << 32, r1, carry);
3863
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                        if (carry) {
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                                MP_ADD_CARRY(r2,  0, r2, carry, carry);
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                                MP_ADD_CARRY(r3,  0, r3, carry, carry);
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   261
                        }
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                        MP_SUB_BORROW(r0, r3b, r0, 0, carry);
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                        if (carry) {
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                                MP_SUB_BORROW(r1, 0, r1, carry, carry);
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                                MP_SUB_BORROW(r2, 0, r2, carry, carry);
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                                MP_SUB_BORROW(r3, 0, r3, carry, carry);
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                        }
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                        r3b = (int)(r3 >>32);
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   269
                }
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   270
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                while (r3b < 0) {
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                        MP_ADD_CARRY_ZERO (r0, 1, r0, carry);
3863
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                        MP_ADD_CARRY (r1, MP_DIGIT_MAX <<32, r1, carry, carry);
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                        MP_ADD_CARRY (r2, MP_DIGIT_MAX, r2, carry, carry);
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                        MP_ADD_CARRY (r3, MP_DIGIT_MAX >> 32, r3, carry, carry);
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                        r3b = (int)(r3 >>32);
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   277
                }
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                /* check for final reduction */
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                /* now the only way we are over is if the top 4 words are all ones */
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   280
                if ((r3 == (MP_DIGIT_MAX >> 32)) && (r2 == MP_DIGIT_MAX)
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                        && ((r1 & MP_DIGIT_MAX << 32)== MP_DIGIT_MAX << 32) &&
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                         ((r1 != MP_DIGIT_MAX << 32 ) || (r0 != 0)) ) {
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   283
                        /* one last subraction */
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                        MP_SUB_BORROW(r0, 1, r0, 0,     carry);
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   285
                        MP_SUB_BORROW(r1, 0, r1, carry, carry);
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   286
                        r2 = r3 = 0;
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   287
                }
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   288
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   289
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   290
                if (a != r) {
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   291
                        MP_CHECKOK(s_mp_pad(r, 4));
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   292
                }
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   293
                /* set the lower words of r */
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   294
                MP_SIGN(r) = MP_ZPOS;
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   295
                MP_USED(r) = 4;
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   296
                MP_DIGIT(r, 3) = r3;
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   297
                MP_DIGIT(r, 2) = r2;
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   298
                MP_DIGIT(r, 1) = r1;
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   299
                MP_DIGIT(r, 0) = r0;
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   300
#endif
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   301
        }
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   302
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  CLEANUP:
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   304
        return res;
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   305
}
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   306
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   307
/* Compute the square of polynomial a, reduce modulo p224. Store the
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   308
 * result in r.  r could be a.  Uses optimized modular reduction for p224.
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   309
 */
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   310
mp_err
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   311
ec_GFp_nistp224_sqr(const mp_int *a, mp_int *r, const GFMethod *meth)
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   312
{
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   313
        mp_err res = MP_OKAY;
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   314
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   315
        MP_CHECKOK(mp_sqr(a, r));
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   316
        MP_CHECKOK(ec_GFp_nistp224_mod(r, r, meth));
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   317
  CLEANUP:
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   318
        return res;
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   319
}
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   320
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   321
/* Compute the product of two polynomials a and b, reduce modulo p224.
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   322
 * Store the result in r.  r could be a or b; a could be b.  Uses
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   323
 * optimized modular reduction for p224. */
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diff changeset
   324
mp_err
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   325
ec_GFp_nistp224_mul(const mp_int *a, const mp_int *b, mp_int *r,
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   326
                                        const GFMethod *meth)
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   327
{
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   328
        mp_err res = MP_OKAY;
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diff changeset
   329
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   330
        MP_CHECKOK(mp_mul(a, b, r));
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diff changeset
   331
        MP_CHECKOK(ec_GFp_nistp224_mod(r, r, meth));
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   332
  CLEANUP:
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   333
        return res;
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diff changeset
   334
}
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diff changeset
   335
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   336
/* Divides two field elements. If a is NULL, then returns the inverse of
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diff changeset
   337
 * b. */
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   338
mp_err
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   339
ec_GFp_nistp224_div(const mp_int *a, const mp_int *b, mp_int *r,
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   340
                   const GFMethod *meth)
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   341
{
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   342
        mp_err res = MP_OKAY;
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   343
        mp_int t;
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   344
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   345
        /* If a is NULL, then return the inverse of b, otherwise return a/b. */
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   346
        if (a == NULL) {
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   347
                return  mp_invmod(b, &meth->irr, r);
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   348
        } else {
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   349
                /* MPI doesn't support divmod, so we implement it using invmod and
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   350
                 * mulmod. */
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   351
                MP_CHECKOK(mp_init(&t, FLAG(b)));
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diff changeset
   352
                MP_CHECKOK(mp_invmod(b, &meth->irr, &t));
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diff changeset
   353
                MP_CHECKOK(mp_mul(a, &t, r));
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diff changeset
   354
                MP_CHECKOK(ec_GFp_nistp224_mod(r, r, meth));
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   355
          CLEANUP:
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   356
                mp_clear(&t);
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   357
                return res;
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   358
        }
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   359
}
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diff changeset
   360
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   361
/* Wire in fast field arithmetic and precomputation of base point for
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diff changeset
   362
 * named curves. */
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   363
mp_err
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vinnie
parents:
diff changeset
   364
ec_group_set_gfp224(ECGroup *group, ECCurveName name)
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parents:
diff changeset
   365
{
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parents:
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   366
        if (name == ECCurve_NIST_P224) {
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parents:
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   367
                group->meth->field_mod = &ec_GFp_nistp224_mod;
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vinnie
parents:
diff changeset
   368
                group->meth->field_mul = &ec_GFp_nistp224_mul;
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vinnie
parents:
diff changeset
   369
                group->meth->field_sqr = &ec_GFp_nistp224_sqr;
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parents:
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   370
                group->meth->field_div = &ec_GFp_nistp224_div;
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parents:
diff changeset
   371
        }
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parents:
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   372
        return MP_OKAY;
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vinnie
parents:
diff changeset
   373
}