jdk/src/share/native/sun/security/ec/impl/ecl_mult.c
author ohair
Wed, 06 Apr 2011 22:06:11 -0700
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child 9774 50a2b28ca54c
permissions -rw-r--r--
7033660: Update copyright year to 2011 on any files changed in 2011 Reviewed-by: dholmes
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/* *********************************************************************
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 *
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 * Sun elects to have this file available under and governed by the
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 * Mozilla Public License Version 1.1 ("MPL") (see
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 * http://www.mozilla.org/MPL/ for full license text). For the avoidance
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 * of doubt and subject to the following, Sun also elects to allow
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 * licensees to use this file under the MPL, the GNU General Public
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 * License version 2 only or the Lesser General Public License version
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 * 2.1 only. Any references to the "GNU General Public License version 2
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 * or later" or "GPL" in the following shall be construed to mean the
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 * GNU General Public License version 2 only. Any references to the "GNU
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 * Lesser General Public License version 2.1 or later" or "LGPL" in the
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 * following shall be construed to mean the GNU Lesser General Public
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 * License version 2.1 only. However, the following notice accompanied
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 * the original version of this file:
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 *
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 * Version: MPL 1.1/GPL 2.0/LGPL 2.1
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 *
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 * The contents of this file are subject to the Mozilla Public License Version
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 * 1.1 (the "License"); you may not use this file except in compliance with
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 * the License. You may obtain a copy of the License at
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 * http://www.mozilla.org/MPL/
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 *
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 * Software distributed under the License is distributed on an "AS IS" basis,
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 * WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License
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 * for the specific language governing rights and limitations under the
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 * License.
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 *
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 * The Original Code is the elliptic curve math library.
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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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 * Alternatively, the contents of this file may be used under the terms of
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 * either the GNU General Public License Version 2 or later (the "GPL"), or
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 * the GNU Lesser General Public License Version 2.1 or later (the "LGPL"),
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 * in which case the provisions of the GPL or the LGPL are applicable instead
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 * of those above. If you wish to allow use of your version of this file only
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 * under the terms of either the GPL or the LGPL, and not to allow others to
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 * use your version of this file under the terms of the MPL, indicate your
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 * decision by deleting the provisions above and replace them with the notice
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 * and other provisions required by the GPL or the LGPL. If you do not delete
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 * the provisions above, a recipient may use your version of this file under
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 * the terms of any one of the MPL, the GPL or the LGPL.
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 *
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 *********************************************************************** */
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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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#include "mpi.h"
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#include "mplogic.h"
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#include "ecl.h"
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#include "ecl-priv.h"
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#ifndef _KERNEL
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#include <stdlib.h>
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#endif
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/* Elliptic curve scalar-point multiplication. Computes R(x, y) = k * P(x,
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 * y).  If x, y = NULL, then P is assumed to be the generator (base point)
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 * of the group of points on the elliptic curve. Input and output values
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 * are assumed to be NOT field-encoded. */
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mp_err
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ECPoint_mul(const ECGroup *group, const mp_int *k, const mp_int *px,
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                        const mp_int *py, mp_int *rx, mp_int *ry)
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{
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        mp_err res = MP_OKAY;
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        mp_int kt;
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        ARGCHK((k != NULL) && (group != NULL), MP_BADARG);
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        MP_DIGITS(&kt) = 0;
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        /* want scalar to be less than or equal to group order */
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        if (mp_cmp(k, &group->order) > 0) {
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                MP_CHECKOK(mp_init(&kt, FLAG(k)));
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                MP_CHECKOK(mp_mod(k, &group->order, &kt));
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        } else {
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                MP_SIGN(&kt) = MP_ZPOS;
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                MP_USED(&kt) = MP_USED(k);
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                MP_ALLOC(&kt) = MP_ALLOC(k);
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                MP_DIGITS(&kt) = MP_DIGITS(k);
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        }
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        if ((px == NULL) || (py == NULL)) {
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                if (group->base_point_mul) {
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                        MP_CHECKOK(group->base_point_mul(&kt, rx, ry, group));
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                } else {
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                        MP_CHECKOK(group->
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                                           point_mul(&kt, &group->genx, &group->geny, rx, ry,
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                                                                 group));
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                }
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        } else {
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                if (group->meth->field_enc) {
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                        MP_CHECKOK(group->meth->field_enc(px, rx, group->meth));
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                        MP_CHECKOK(group->meth->field_enc(py, ry, group->meth));
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                        MP_CHECKOK(group->point_mul(&kt, rx, ry, rx, ry, group));
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                } else {
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                        MP_CHECKOK(group->point_mul(&kt, px, py, rx, ry, group));
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                }
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        }
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        if (group->meth->field_dec) {
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                MP_CHECKOK(group->meth->field_dec(rx, rx, group->meth));
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                MP_CHECKOK(group->meth->field_dec(ry, ry, group->meth));
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        }
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  CLEANUP:
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        if (MP_DIGITS(&kt) != MP_DIGITS(k)) {
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                mp_clear(&kt);
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        }
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        return res;
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}
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/* Elliptic curve scalar-point multiplication. Computes R(x, y) = k1 * G +
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 * k2 * P(x, y), where G is the generator (base point) of the group of
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 * points on the elliptic curve. Allows k1 = NULL or { k2, P } = NULL.
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 * Input and output values are assumed to be NOT field-encoded. */
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mp_err
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ec_pts_mul_basic(const mp_int *k1, const mp_int *k2, const mp_int *px,
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                                 const mp_int *py, mp_int *rx, mp_int *ry,
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                                 const ECGroup *group)
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{
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        mp_err res = MP_OKAY;
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        mp_int sx, sy;
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   130
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        ARGCHK(group != NULL, MP_BADARG);
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        ARGCHK(!((k1 == NULL)
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                         && ((k2 == NULL) || (px == NULL)
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                                 || (py == NULL))), MP_BADARG);
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   135
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        /* if some arguments are not defined used ECPoint_mul */
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        if (k1 == NULL) {
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                return ECPoint_mul(group, k2, px, py, rx, ry);
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        } else if ((k2 == NULL) || (px == NULL) || (py == NULL)) {
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                return ECPoint_mul(group, k1, NULL, NULL, rx, ry);
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        }
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   142
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        MP_DIGITS(&sx) = 0;
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        MP_DIGITS(&sy) = 0;
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        MP_CHECKOK(mp_init(&sx, FLAG(k1)));
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        MP_CHECKOK(mp_init(&sy, FLAG(k1)));
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        MP_CHECKOK(ECPoint_mul(group, k1, NULL, NULL, &sx, &sy));
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        MP_CHECKOK(ECPoint_mul(group, k2, px, py, rx, ry));
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        if (group->meth->field_enc) {
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                MP_CHECKOK(group->meth->field_enc(&sx, &sx, group->meth));
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                MP_CHECKOK(group->meth->field_enc(&sy, &sy, group->meth));
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                MP_CHECKOK(group->meth->field_enc(rx, rx, group->meth));
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                MP_CHECKOK(group->meth->field_enc(ry, ry, group->meth));
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        }
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   157
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        MP_CHECKOK(group->point_add(&sx, &sy, rx, ry, rx, ry, group));
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   159
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        if (group->meth->field_dec) {
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                MP_CHECKOK(group->meth->field_dec(rx, rx, group->meth));
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                MP_CHECKOK(group->meth->field_dec(ry, ry, group->meth));
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        }
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  CLEANUP:
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        mp_clear(&sx);
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        mp_clear(&sy);
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        return res;
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}
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   170
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/* Elliptic curve scalar-point multiplication. Computes R(x, y) = k1 * G +
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 * k2 * P(x, y), where G is the generator (base point) of the group of
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 * points on the elliptic curve. Allows k1 = NULL or { k2, P } = NULL.
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 * Input and output values are assumed to be NOT field-encoded. Uses
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 * algorithm 15 (simultaneous multiple point multiplication) from Brown,
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 * Hankerson, Lopez, Menezes. Software Implementation of the NIST
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 * Elliptic Curves over Prime Fields. */
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mp_err
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ec_pts_mul_simul_w2(const mp_int *k1, const mp_int *k2, const mp_int *px,
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                                        const mp_int *py, mp_int *rx, mp_int *ry,
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                                        const ECGroup *group)
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{
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        mp_err res = MP_OKAY;
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        mp_int precomp[4][4][2];
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        const mp_int *a, *b;
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        int i, j;
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        int ai, bi, d;
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   188
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        ARGCHK(group != NULL, MP_BADARG);
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        ARGCHK(!((k1 == NULL)
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                         && ((k2 == NULL) || (px == NULL)
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                                 || (py == NULL))), MP_BADARG);
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   193
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        /* if some arguments are not defined used ECPoint_mul */
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        if (k1 == NULL) {
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                return ECPoint_mul(group, k2, px, py, rx, ry);
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        } else if ((k2 == NULL) || (px == NULL) || (py == NULL)) {
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                return ECPoint_mul(group, k1, NULL, NULL, rx, ry);
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        }
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   200
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        /* initialize precomputation table */
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        for (i = 0; i < 4; i++) {
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                for (j = 0; j < 4; j++) {
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                        MP_DIGITS(&precomp[i][j][0]) = 0;
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                        MP_DIGITS(&precomp[i][j][1]) = 0;
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                }
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        }
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        for (i = 0; i < 4; i++) {
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                for (j = 0; j < 4; j++) {
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                         MP_CHECKOK( mp_init_size(&precomp[i][j][0],
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                                         ECL_MAX_FIELD_SIZE_DIGITS, FLAG(k1)) );
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                         MP_CHECKOK( mp_init_size(&precomp[i][j][1],
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                                         ECL_MAX_FIELD_SIZE_DIGITS, FLAG(k1)) );
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                }
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        }
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   216
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        /* fill precomputation table */
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        /* assign {k1, k2} = {a, b} such that len(a) >= len(b) */
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        if (mpl_significant_bits(k1) < mpl_significant_bits(k2)) {
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                a = k2;
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                b = k1;
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                if (group->meth->field_enc) {
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                        MP_CHECKOK(group->meth->
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                                           field_enc(px, &precomp[1][0][0], group->meth));
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                        MP_CHECKOK(group->meth->
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                                           field_enc(py, &precomp[1][0][1], group->meth));
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                } else {
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                        MP_CHECKOK(mp_copy(px, &precomp[1][0][0]));
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                        MP_CHECKOK(mp_copy(py, &precomp[1][0][1]));
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                }
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                MP_CHECKOK(mp_copy(&group->genx, &precomp[0][1][0]));
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                MP_CHECKOK(mp_copy(&group->geny, &precomp[0][1][1]));
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        } else {
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                a = k1;
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                b = k2;
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                MP_CHECKOK(mp_copy(&group->genx, &precomp[1][0][0]));
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                MP_CHECKOK(mp_copy(&group->geny, &precomp[1][0][1]));
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                if (group->meth->field_enc) {
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                        MP_CHECKOK(group->meth->
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                                           field_enc(px, &precomp[0][1][0], group->meth));
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                        MP_CHECKOK(group->meth->
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                                           field_enc(py, &precomp[0][1][1], group->meth));
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   243
                } else {
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                        MP_CHECKOK(mp_copy(px, &precomp[0][1][0]));
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                        MP_CHECKOK(mp_copy(py, &precomp[0][1][1]));
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                }
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        }
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        /* precompute [*][0][*] */
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        mp_zero(&precomp[0][0][0]);
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        mp_zero(&precomp[0][0][1]);
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        MP_CHECKOK(group->
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                           point_dbl(&precomp[1][0][0], &precomp[1][0][1],
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                                                 &precomp[2][0][0], &precomp[2][0][1], group));
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        MP_CHECKOK(group->
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                           point_add(&precomp[1][0][0], &precomp[1][0][1],
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                                                 &precomp[2][0][0], &precomp[2][0][1],
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                                                 &precomp[3][0][0], &precomp[3][0][1], group));
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        /* precompute [*][1][*] */
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        for (i = 1; i < 4; i++) {
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                MP_CHECKOK(group->
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                                   point_add(&precomp[0][1][0], &precomp[0][1][1],
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                                                         &precomp[i][0][0], &precomp[i][0][1],
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                                                         &precomp[i][1][0], &precomp[i][1][1], group));
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        }
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        /* precompute [*][2][*] */
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        MP_CHECKOK(group->
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                           point_dbl(&precomp[0][1][0], &precomp[0][1][1],
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                                                 &precomp[0][2][0], &precomp[0][2][1], group));
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        for (i = 1; i < 4; i++) {
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                MP_CHECKOK(group->
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                                   point_add(&precomp[0][2][0], &precomp[0][2][1],
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                                                         &precomp[i][0][0], &precomp[i][0][1],
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                                                         &precomp[i][2][0], &precomp[i][2][1], group));
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        }
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        /* precompute [*][3][*] */
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        MP_CHECKOK(group->
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                           point_add(&precomp[0][1][0], &precomp[0][1][1],
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                                                 &precomp[0][2][0], &precomp[0][2][1],
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                                                 &precomp[0][3][0], &precomp[0][3][1], group));
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        for (i = 1; i < 4; i++) {
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                MP_CHECKOK(group->
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   282
                                   point_add(&precomp[0][3][0], &precomp[0][3][1],
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   283
                                                         &precomp[i][0][0], &precomp[i][0][1],
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   284
                                                         &precomp[i][3][0], &precomp[i][3][1], group));
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        }
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   286
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        d = (mpl_significant_bits(a) + 1) / 2;
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   288
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        /* R = inf */
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        mp_zero(rx);
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   291
        mp_zero(ry);
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   292
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   293
        for (i = d - 1; i >= 0; i--) {
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   294
                ai = MP_GET_BIT(a, 2 * i + 1);
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   295
                ai <<= 1;
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   296
                ai |= MP_GET_BIT(a, 2 * i);
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   297
                bi = MP_GET_BIT(b, 2 * i + 1);
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   298
                bi <<= 1;
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   299
                bi |= MP_GET_BIT(b, 2 * i);
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   300
                /* R = 2^2 * R */
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   301
                MP_CHECKOK(group->point_dbl(rx, ry, rx, ry, group));
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   302
                MP_CHECKOK(group->point_dbl(rx, ry, rx, ry, group));
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   303
                /* R = R + (ai * A + bi * B) */
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   304
                MP_CHECKOK(group->
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   305
                                   point_add(rx, ry, &precomp[ai][bi][0],
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   306
                                                         &precomp[ai][bi][1], rx, ry, group));
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   307
        }
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diff changeset
   308
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   309
        if (group->meth->field_dec) {
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   310
                MP_CHECKOK(group->meth->field_dec(rx, rx, group->meth));
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   311
                MP_CHECKOK(group->meth->field_dec(ry, ry, group->meth));
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   312
        }
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   313
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   314
  CLEANUP:
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   315
        for (i = 0; i < 4; i++) {
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   316
                for (j = 0; j < 4; j++) {
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   317
                        mp_clear(&precomp[i][j][0]);
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   318
                        mp_clear(&precomp[i][j][1]);
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diff changeset
   319
                }
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   320
        }
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   321
        return res;
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diff changeset
   322
}
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diff changeset
   323
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   324
/* Elliptic curve scalar-point multiplication. Computes R(x, y) = k1 * G +
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   325
 * k2 * P(x, y), where G is the generator (base point) of the group of
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   326
 * points on the elliptic curve. Allows k1 = NULL or { k2, P } = NULL.
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   327
 * Input and output values are assumed to be NOT field-encoded. */
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   328
mp_err
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   329
ECPoints_mul(const ECGroup *group, const mp_int *k1, const mp_int *k2,
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   330
                         const mp_int *px, const mp_int *py, mp_int *rx, mp_int *ry)
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   331
{
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   332
        mp_err res = MP_OKAY;
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   333
        mp_int k1t, k2t;
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   334
        const mp_int *k1p, *k2p;
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diff changeset
   335
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   336
        MP_DIGITS(&k1t) = 0;
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   337
        MP_DIGITS(&k2t) = 0;
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diff changeset
   338
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   339
        ARGCHK(group != NULL, MP_BADARG);
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diff changeset
   340
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vinnie
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diff changeset
   341
        /* want scalar to be less than or equal to group order */
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diff changeset
   342
        if (k1 != NULL) {
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diff changeset
   343
                if (mp_cmp(k1, &group->order) >= 0) {
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diff changeset
   344
                        MP_CHECKOK(mp_init(&k1t, FLAG(k1)));
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diff changeset
   345
                        MP_CHECKOK(mp_mod(k1, &group->order, &k1t));
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   346
                        k1p = &k1t;
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diff changeset
   347
                } else {
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   348
                        k1p = k1;
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diff changeset
   349
                }
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diff changeset
   350
        } else {
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   351
                k1p = k1;
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diff changeset
   352
        }
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diff changeset
   353
        if (k2 != NULL) {
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diff changeset
   354
                if (mp_cmp(k2, &group->order) >= 0) {
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diff changeset
   355
                        MP_CHECKOK(mp_init(&k2t, FLAG(k2)));
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diff changeset
   356
                        MP_CHECKOK(mp_mod(k2, &group->order, &k2t));
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diff changeset
   357
                        k2p = &k2t;
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diff changeset
   358
                } else {
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diff changeset
   359
                        k2p = k2;
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diff changeset
   360
                }
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vinnie
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diff changeset
   361
        } else {
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diff changeset
   362
                k2p = k2;
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diff changeset
   363
        }
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diff changeset
   364
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   365
        /* if points_mul is defined, then use it */
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   366
        if (group->points_mul) {
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                res = group->points_mul(k1p, k2p, px, py, rx, ry, group);
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   368
        } else {
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                res = ec_pts_mul_simul_w2(k1p, k2p, px, py, rx, ry, group);
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        }
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   371
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   372
  CLEANUP:
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        mp_clear(&k1t);
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   374
        mp_clear(&k2t);
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   375
        return res;
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   376
}