jdk/src/share/native/sun/security/ec/impl/ec2_aff.c
author vinnie
Mon, 30 May 2011 16:37:42 +0100
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permissions -rw-r--r--
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 binary polynomial 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 "ec2.h"
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#include "mplogic.h"
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#include "mp_gf2m.h"
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#ifndef _KERNEL
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#include <stdlib.h>
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#endif
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/* Checks if point P(px, py) is at infinity.  Uses affine coordinates. */
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mp_err
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ec_GF2m_pt_is_inf_aff(const mp_int *px, const mp_int *py)
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{
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        if ((mp_cmp_z(px) == 0) && (mp_cmp_z(py) == 0)) {
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                return MP_YES;
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        } else {
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                return MP_NO;
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        }
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}
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/* Sets P(px, py) to be the point at infinity.  Uses affine coordinates. */
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mp_err
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ec_GF2m_pt_set_inf_aff(mp_int *px, mp_int *py)
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{
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        mp_zero(px);
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        mp_zero(py);
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        return MP_OKAY;
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}
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/* Computes R = P + Q based on IEEE P1363 A.10.2. Elliptic curve points P,
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 * Q, and R can all be identical. Uses affine coordinates. */
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mp_err
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ec_GF2m_pt_add_aff(const mp_int *px, const mp_int *py, const mp_int *qx,
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                                   const mp_int *qy, 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 lambda, tempx, tempy;
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        MP_DIGITS(&lambda) = 0;
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        MP_DIGITS(&tempx) = 0;
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        MP_DIGITS(&tempy) = 0;
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        MP_CHECKOK(mp_init(&lambda, FLAG(px)));
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        MP_CHECKOK(mp_init(&tempx, FLAG(px)));
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        MP_CHECKOK(mp_init(&tempy, FLAG(px)));
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        /* if P = inf, then R = Q */
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        if (ec_GF2m_pt_is_inf_aff(px, py) == 0) {
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                MP_CHECKOK(mp_copy(qx, rx));
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                MP_CHECKOK(mp_copy(qy, ry));
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                res = MP_OKAY;
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                goto CLEANUP;
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        }
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        /* if Q = inf, then R = P */
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        if (ec_GF2m_pt_is_inf_aff(qx, qy) == 0) {
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                MP_CHECKOK(mp_copy(px, rx));
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                MP_CHECKOK(mp_copy(py, ry));
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                res = MP_OKAY;
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                goto CLEANUP;
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        }
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        /* if px != qx, then lambda = (py+qy) / (px+qx), tempx = a + lambda^2
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         * + lambda + px + qx */
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        if (mp_cmp(px, qx) != 0) {
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                MP_CHECKOK(group->meth->field_add(py, qy, &tempy, group->meth));
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                MP_CHECKOK(group->meth->field_add(px, qx, &tempx, group->meth));
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                MP_CHECKOK(group->meth->
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                                   field_div(&tempy, &tempx, &lambda, group->meth));
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                MP_CHECKOK(group->meth->field_sqr(&lambda, &tempx, group->meth));
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                MP_CHECKOK(group->meth->
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                                   field_add(&tempx, &lambda, &tempx, group->meth));
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                MP_CHECKOK(group->meth->
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                                   field_add(&tempx, &group->curvea, &tempx, group->meth));
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                MP_CHECKOK(group->meth->
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                                   field_add(&tempx, px, &tempx, group->meth));
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                MP_CHECKOK(group->meth->
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                                   field_add(&tempx, qx, &tempx, group->meth));
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        } else {
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                /* if py != qy or qx = 0, then R = inf */
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                if (((mp_cmp(py, qy) != 0)) || (mp_cmp_z(qx) == 0)) {
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                        mp_zero(rx);
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                        mp_zero(ry);
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                        res = MP_OKAY;
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                        goto CLEANUP;
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                }
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                /* lambda = qx + qy / qx */
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                MP_CHECKOK(group->meth->field_div(qy, qx, &lambda, group->meth));
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                MP_CHECKOK(group->meth->
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                                   field_add(&lambda, qx, &lambda, group->meth));
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   125
                /* tempx = a + lambda^2 + lambda */
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diff changeset
   126
                MP_CHECKOK(group->meth->field_sqr(&lambda, &tempx, group->meth));
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   127
                MP_CHECKOK(group->meth->
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   128
                                   field_add(&tempx, &lambda, &tempx, group->meth));
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   129
                MP_CHECKOK(group->meth->
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   130
                                   field_add(&tempx, &group->curvea, &tempx, group->meth));
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   131
        }
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   132
        /* ry = (qx + tempx) * lambda + tempx + qy */
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   133
        MP_CHECKOK(group->meth->field_add(qx, &tempx, &tempy, group->meth));
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diff changeset
   134
        MP_CHECKOK(group->meth->
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parents:
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   135
                           field_mul(&tempy, &lambda, &tempy, group->meth));
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parents:
diff changeset
   136
        MP_CHECKOK(group->meth->
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   137
                           field_add(&tempy, &tempx, &tempy, group->meth));
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   138
        MP_CHECKOK(group->meth->field_add(&tempy, qy, ry, group->meth));
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   139
        /* rx = tempx */
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   140
        MP_CHECKOK(mp_copy(&tempx, rx));
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   141
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   142
  CLEANUP:
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   143
        mp_clear(&lambda);
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   144
        mp_clear(&tempx);
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   145
        mp_clear(&tempy);
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   146
        return res;
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   147
}
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diff changeset
   148
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   149
/* Computes R = P - Q. Elliptic curve points P, Q, and R can all be
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   150
 * identical. Uses affine coordinates. */
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   151
mp_err
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   152
ec_GF2m_pt_sub_aff(const mp_int *px, const mp_int *py, const mp_int *qx,
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   153
                                   const mp_int *qy, mp_int *rx, mp_int *ry,
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   154
                                   const ECGroup *group)
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   155
{
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   156
        mp_err res = MP_OKAY;
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   157
        mp_int nqy;
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parents:
diff changeset
   158
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   159
        MP_DIGITS(&nqy) = 0;
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   160
        MP_CHECKOK(mp_init(&nqy, FLAG(px)));
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diff changeset
   161
        /* nqy = qx+qy */
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   162
        MP_CHECKOK(group->meth->field_add(qx, qy, &nqy, group->meth));
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   163
        MP_CHECKOK(group->point_add(px, py, qx, &nqy, rx, ry, group));
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   164
  CLEANUP:
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   165
        mp_clear(&nqy);
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diff changeset
   166
        return res;
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parents:
diff changeset
   167
}
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   168
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diff changeset
   169
/* Computes R = 2P. Elliptic curve points P and R can be identical. Uses
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vinnie
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diff changeset
   170
 * affine coordinates. */
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diff changeset
   171
mp_err
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diff changeset
   172
ec_GF2m_pt_dbl_aff(const mp_int *px, const mp_int *py, mp_int *rx,
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diff changeset
   173
                                   mp_int *ry, const ECGroup *group)
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diff changeset
   174
{
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diff changeset
   175
        return group->point_add(px, py, px, py, rx, ry, group);
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diff changeset
   176
}
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parents:
diff changeset
   177
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diff changeset
   178
/* by default, this routine is unused and thus doesn't need to be compiled */
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vinnie
parents:
diff changeset
   179
#ifdef ECL_ENABLE_GF2M_PT_MUL_AFF
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diff changeset
   180
/* Computes R = nP based on IEEE P1363 A.10.3. Elliptic curve points P and
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vinnie
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diff changeset
   181
 * R can be identical. Uses affine coordinates. */
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parents:
diff changeset
   182
mp_err
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vinnie
parents:
diff changeset
   183
ec_GF2m_pt_mul_aff(const mp_int *n, const mp_int *px, const mp_int *py,
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vinnie
parents:
diff changeset
   184
                                   mp_int *rx, mp_int *ry, const ECGroup *group)
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vinnie
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diff changeset
   185
{
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diff changeset
   186
        mp_err res = MP_OKAY;
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   187
        mp_int k, k3, qx, qy, sx, sy;
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vinnie
parents:
diff changeset
   188
        int b1, b3, i, l;
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vinnie
parents:
diff changeset
   189
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vinnie
parents:
diff changeset
   190
        MP_DIGITS(&k) = 0;
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   191
        MP_DIGITS(&k3) = 0;
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   192
        MP_DIGITS(&qx) = 0;
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   193
        MP_DIGITS(&qy) = 0;
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   194
        MP_DIGITS(&sx) = 0;
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   195
        MP_DIGITS(&sy) = 0;
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   196
        MP_CHECKOK(mp_init(&k));
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   197
        MP_CHECKOK(mp_init(&k3));
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   198
        MP_CHECKOK(mp_init(&qx));
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   199
        MP_CHECKOK(mp_init(&qy));
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   200
        MP_CHECKOK(mp_init(&sx));
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   201
        MP_CHECKOK(mp_init(&sy));
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
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parents:
diff changeset
   202
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vinnie
parents:
diff changeset
   203
        /* if n = 0 then r = inf */
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   204
        if (mp_cmp_z(n) == 0) {
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vinnie
parents:
diff changeset
   205
                mp_zero(rx);
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   206
                mp_zero(ry);
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   207
                res = MP_OKAY;
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   208
                goto CLEANUP;
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   209
        }
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
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parents:
diff changeset
   210
        /* Q = P, k = n */
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   211
        MP_CHECKOK(mp_copy(px, &qx));
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   212
        MP_CHECKOK(mp_copy(py, &qy));
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   213
        MP_CHECKOK(mp_copy(n, &k));
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   214
        /* if n < 0 then Q = -Q, k = -k */
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   215
        if (mp_cmp_z(n) < 0) {
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
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parents:
diff changeset
   216
                MP_CHECKOK(group->meth->field_add(&qx, &qy, &qy, group->meth));
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   217
                MP_CHECKOK(mp_neg(&k, &k));
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   218
        }
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vinnie
parents:
diff changeset
   219
#ifdef ECL_DEBUG                                /* basic double and add method */
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vinnie
parents:
diff changeset
   220
        l = mpl_significant_bits(&k) - 1;
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vinnie
parents:
diff changeset
   221
        MP_CHECKOK(mp_copy(&qx, &sx));
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parents:
diff changeset
   222
        MP_CHECKOK(mp_copy(&qy, &sy));
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vinnie
parents:
diff changeset
   223
        for (i = l - 1; i >= 0; i--) {
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vinnie
parents:
diff changeset
   224
                /* S = 2S */
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
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parents:
diff changeset
   225
                MP_CHECKOK(group->point_dbl(&sx, &sy, &sx, &sy, group));
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   226
                /* if k_i = 1, then S = S + Q */
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vinnie
parents:
diff changeset
   227
                if (mpl_get_bit(&k, i) != 0) {
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vinnie
parents:
diff changeset
   228
                        MP_CHECKOK(group->
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parents:
diff changeset
   229
                                           point_add(&sx, &sy, &qx, &qy, &sx, &sy, group));
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diff changeset
   230
                }
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parents:
diff changeset
   231
        }
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diff changeset
   232
#else                                                   /* double and add/subtract method from
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vinnie
parents:
diff changeset
   233
                                                                 * standard */
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parents:
diff changeset
   234
        /* k3 = 3 * k */
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parents:
diff changeset
   235
        MP_CHECKOK(mp_set_int(&k3, 3));
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vinnie
parents:
diff changeset
   236
        MP_CHECKOK(mp_mul(&k, &k3, &k3));
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   237
        /* S = Q */
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vinnie
parents:
diff changeset
   238
        MP_CHECKOK(mp_copy(&qx, &sx));
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   239
        MP_CHECKOK(mp_copy(&qy, &sy));
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   240
        /* l = index of high order bit in binary representation of 3*k */
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   241
        l = mpl_significant_bits(&k3) - 1;
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   242
        /* for i = l-1 downto 1 */
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   243
        for (i = l - 1; i >= 1; i--) {
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   244
                /* S = 2S */
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   245
                MP_CHECKOK(group->point_dbl(&sx, &sy, &sx, &sy, group));
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   246
                b3 = MP_GET_BIT(&k3, i);
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   247
                b1 = MP_GET_BIT(&k, i);
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   248
                /* if k3_i = 1 and k_i = 0, then S = S + Q */
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   249
                if ((b3 == 1) && (b1 == 0)) {
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   250
                        MP_CHECKOK(group->
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   251
                                           point_add(&sx, &sy, &qx, &qy, &sx, &sy, group));
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   252
                        /* if k3_i = 0 and k_i = 1, then S = S - Q */
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   253
                } else if ((b3 == 0) && (b1 == 1)) {
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   254
                        MP_CHECKOK(group->
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   255
                                           point_sub(&sx, &sy, &qx, &qy, &sx, &sy, group));
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   256
                }
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   257
        }
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   258
#endif
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   259
        /* output S */
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   260
        MP_CHECKOK(mp_copy(&sx, rx));
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   261
        MP_CHECKOK(mp_copy(&sy, ry));
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   262
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   263
  CLEANUP:
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   264
        mp_clear(&k);
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   265
        mp_clear(&k3);
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   266
        mp_clear(&qx);
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   267
        mp_clear(&qy);
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   268
        mp_clear(&sx);
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   269
        mp_clear(&sy);
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   270
        return res;
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   271
}
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   272
#endif
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   273
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   274
/* Validates a point on a GF2m curve. */
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   275
mp_err
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   276
ec_GF2m_validate_point(const mp_int *px, const mp_int *py, const ECGroup *group)
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{
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        mp_err res = MP_NO;
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   279
        mp_int accl, accr, tmp, pxt, pyt;
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   280
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        MP_DIGITS(&accl) = 0;
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        MP_DIGITS(&accr) = 0;
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   283
        MP_DIGITS(&tmp) = 0;
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   284
        MP_DIGITS(&pxt) = 0;
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   285
        MP_DIGITS(&pyt) = 0;
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   286
        MP_CHECKOK(mp_init(&accl, FLAG(px)));
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   287
        MP_CHECKOK(mp_init(&accr, FLAG(px)));
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   288
        MP_CHECKOK(mp_init(&tmp, FLAG(px)));
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   289
        MP_CHECKOK(mp_init(&pxt, FLAG(px)));
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diff changeset
   290
        MP_CHECKOK(mp_init(&pyt, FLAG(px)));
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parents:
diff changeset
   291
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vinnie
parents:
diff changeset
   292
    /* 1: Verify that publicValue is not the point at infinity */
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diff changeset
   293
        if (ec_GF2m_pt_is_inf_aff(px, py) == MP_YES) {
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diff changeset
   294
                res = MP_NO;
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vinnie
parents:
diff changeset
   295
                goto CLEANUP;
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parents:
diff changeset
   296
        }
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parents:
diff changeset
   297
    /* 2: Verify that the coordinates of publicValue are elements
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   298
     *    of the field.
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diff changeset
   299
     */
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
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diff changeset
   300
        if ((MP_SIGN(px) == MP_NEG) || (mp_cmp(px, &group->meth->irr) >= 0) ||
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
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diff changeset
   301
                (MP_SIGN(py) == MP_NEG) || (mp_cmp(py, &group->meth->irr) >= 0)) {
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
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diff changeset
   302
                res = MP_NO;
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   303
                goto CLEANUP;
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   304
        }
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   305
    /* 3: Verify that publicValue is on the curve. */
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   306
        if (group->meth->field_enc) {
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   307
                group->meth->field_enc(px, &pxt, group->meth);
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   308
                group->meth->field_enc(py, &pyt, group->meth);
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   309
        } else {
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vinnie
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diff changeset
   310
                mp_copy(px, &pxt);
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   311
                mp_copy(py, &pyt);
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   312
        }
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   313
        /* left-hand side: y^2 + x*y  */
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   314
        MP_CHECKOK( group->meth->field_sqr(&pyt, &accl, group->meth) );
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   315
        MP_CHECKOK( group->meth->field_mul(&pxt, &pyt, &tmp, group->meth) );
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   316
        MP_CHECKOK( group->meth->field_add(&accl, &tmp, &accl, group->meth) );
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   317
        /* right-hand side: x^3 + a*x^2 + b */
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   318
        MP_CHECKOK( group->meth->field_sqr(&pxt, &tmp, group->meth) );
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   319
        MP_CHECKOK( group->meth->field_mul(&pxt, &tmp, &accr, group->meth) );
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   320
        MP_CHECKOK( group->meth->field_mul(&group->curvea, &tmp, &tmp, group->meth) );
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   321
        MP_CHECKOK( group->meth->field_add(&tmp, &accr, &accr, group->meth) );
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   322
        MP_CHECKOK( group->meth->field_add(&accr, &group->curveb, &accr, group->meth) );
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   323
        /* check LHS - RHS == 0 */
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   324
        MP_CHECKOK( group->meth->field_add(&accl, &accr, &accr, group->meth) );
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   325
        if (mp_cmp_z(&accr) != 0) {
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vinnie
parents:
diff changeset
   326
                res = MP_NO;
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   327
                goto CLEANUP;
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vinnie
parents:
diff changeset
   328
        }
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   329
    /* 4: Verify that the order of the curve times the publicValue
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vinnie
parents:
diff changeset
   330
     *    is the point at infinity.
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vinnie
parents:
diff changeset
   331
     */
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   332
        MP_CHECKOK( ECPoint_mul(group, &group->order, px, py, &pxt, &pyt) );
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   333
        if (ec_GF2m_pt_is_inf_aff(&pxt, &pyt) != MP_YES) {
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   334
                res = MP_NO;
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   335
                goto CLEANUP;
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   336
        }
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   337
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   338
        res = MP_YES;
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vinnie
parents:
diff changeset
   339
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   340
CLEANUP:
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   341
        mp_clear(&accl);
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vinnie
parents:
diff changeset
   342
        mp_clear(&accr);
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   343
        mp_clear(&tmp);
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vinnie
parents:
diff changeset
   344
        mp_clear(&pxt);
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   345
        mp_clear(&pyt);
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   346
        return res;
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff changeset
   347
}