jdk/src/share/native/sun/security/ec/impl/ecp_jm.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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 *   Stephen Fung <fungstep@hotmail.com>, Sun Microsystems Laboratories
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 *
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 *********************************************************************** */
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#include "ecp.h"
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#include "ecl-priv.h"
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#include "mplogic.h"
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#ifndef _KERNEL
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#include <stdlib.h>
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#endif
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#define MAX_SCRATCH 6
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/* Computes R = 2P.  Elliptic curve points P and R can be identical.  Uses
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 * Modified Jacobian coordinates.
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 *
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 * Assumes input is already field-encoded using field_enc, and returns
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 * output that is still field-encoded.
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 *
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 */
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mp_err
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ec_GFp_pt_dbl_jm(const mp_int *px, const mp_int *py, const mp_int *pz,
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                                 const mp_int *paz4, mp_int *rx, mp_int *ry, mp_int *rz,
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                                 mp_int *raz4, mp_int scratch[], const ECGroup *group)
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{
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        mp_err res = MP_OKAY;
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        mp_int *t0, *t1, *M, *S;
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        t0 = &scratch[0];
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        t1 = &scratch[1];
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        M = &scratch[2];
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        S = &scratch[3];
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#if MAX_SCRATCH < 4
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#error "Scratch array defined too small "
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#endif
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        /* Check for point at infinity */
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        if (ec_GFp_pt_is_inf_jac(px, py, pz) == MP_YES) {
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                /* Set r = pt at infinity by setting rz = 0 */
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                MP_CHECKOK(ec_GFp_pt_set_inf_jac(rx, ry, rz));
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                goto CLEANUP;
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        }
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        /* M = 3 (px^2) + a*(pz^4) */
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        MP_CHECKOK(group->meth->field_sqr(px, t0, group->meth));
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        MP_CHECKOK(group->meth->field_add(t0, t0, M, group->meth));
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        MP_CHECKOK(group->meth->field_add(t0, M, t0, group->meth));
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        MP_CHECKOK(group->meth->field_add(t0, paz4, M, group->meth));
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        /* rz = 2 * py * pz */
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        MP_CHECKOK(group->meth->field_mul(py, pz, S, group->meth));
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        MP_CHECKOK(group->meth->field_add(S, S, rz, group->meth));
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        /* t0 = 2y^2 , t1 = 8y^4 */
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        MP_CHECKOK(group->meth->field_sqr(py, t0, group->meth));
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        MP_CHECKOK(group->meth->field_add(t0, t0, t0, group->meth));
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        MP_CHECKOK(group->meth->field_sqr(t0, t1, group->meth));
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        MP_CHECKOK(group->meth->field_add(t1, t1, t1, group->meth));
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        /* S = 4 * px * py^2 = 2 * px * t0 */
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        MP_CHECKOK(group->meth->field_mul(px, t0, S, group->meth));
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        MP_CHECKOK(group->meth->field_add(S, S, S, group->meth));
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        /* rx = M^2 - 2S */
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        MP_CHECKOK(group->meth->field_sqr(M, rx, group->meth));
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        MP_CHECKOK(group->meth->field_sub(rx, S, rx, group->meth));
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        MP_CHECKOK(group->meth->field_sub(rx, S, rx, group->meth));
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        /* ry = M * (S - rx) - t1 */
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        MP_CHECKOK(group->meth->field_sub(S, rx, S, group->meth));
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        MP_CHECKOK(group->meth->field_mul(S, M, ry, group->meth));
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        MP_CHECKOK(group->meth->field_sub(ry, t1, ry, group->meth));
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        /* ra*z^4 = 2*t1*(apz4) */
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        MP_CHECKOK(group->meth->field_mul(paz4, t1, raz4, group->meth));
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        MP_CHECKOK(group->meth->field_add(raz4, raz4, raz4, group->meth));
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  CLEANUP:
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        return res;
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}
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/* Computes R = P + Q where R is (rx, ry, rz), P is (px, py, pz) and Q is
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 * (qx, qy, 1).  Elliptic curve points P, Q, and R can all be identical.
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 * Uses mixed Modified_Jacobian-affine coordinates. Assumes input is
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 * already field-encoded using field_enc, and returns output that is still
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 * field-encoded. */
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mp_err
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ec_GFp_pt_add_jm_aff(const mp_int *px, const mp_int *py, const mp_int *pz,
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   126
                                         const mp_int *paz4, const mp_int *qx,
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   127
                                         const mp_int *qy, mp_int *rx, mp_int *ry, mp_int *rz,
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   128
                                         mp_int *raz4, mp_int scratch[], const ECGroup *group)
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   129
{
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        mp_err res = MP_OKAY;
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   131
        mp_int *A, *B, *C, *D, *C2, *C3;
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   132
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   133
        A = &scratch[0];
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   134
        B = &scratch[1];
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   135
        C = &scratch[2];
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   136
        D = &scratch[3];
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   137
        C2 = &scratch[4];
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   138
        C3 = &scratch[5];
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   139
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   140
#if MAX_SCRATCH < 6
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   141
#error "Scratch array defined too small "
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   142
#endif
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   143
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   144
        /* If either P or Q is the point at infinity, then return the other
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   145
         * point */
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   146
        if (ec_GFp_pt_is_inf_jac(px, py, pz) == MP_YES) {
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   147
                MP_CHECKOK(ec_GFp_pt_aff2jac(qx, qy, rx, ry, rz, group));
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   148
                MP_CHECKOK(group->meth->field_sqr(rz, raz4, group->meth));
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   149
                MP_CHECKOK(group->meth->field_sqr(raz4, raz4, group->meth));
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   150
                MP_CHECKOK(group->meth->
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   151
                                   field_mul(raz4, &group->curvea, raz4, group->meth));
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   152
                goto CLEANUP;
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   153
        }
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   154
        if (ec_GFp_pt_is_inf_aff(qx, qy) == MP_YES) {
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   155
                MP_CHECKOK(mp_copy(px, rx));
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   156
                MP_CHECKOK(mp_copy(py, ry));
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   157
                MP_CHECKOK(mp_copy(pz, rz));
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   158
                MP_CHECKOK(mp_copy(paz4, raz4));
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   159
                goto CLEANUP;
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   160
        }
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   161
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   162
        /* A = qx * pz^2, B = qy * pz^3 */
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   163
        MP_CHECKOK(group->meth->field_sqr(pz, A, group->meth));
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   164
        MP_CHECKOK(group->meth->field_mul(A, pz, B, group->meth));
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   165
        MP_CHECKOK(group->meth->field_mul(A, qx, A, group->meth));
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   166
        MP_CHECKOK(group->meth->field_mul(B, qy, B, group->meth));
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   167
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   168
        /* C = A - px, D = B - py */
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   169
        MP_CHECKOK(group->meth->field_sub(A, px, C, group->meth));
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   170
        MP_CHECKOK(group->meth->field_sub(B, py, D, group->meth));
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   171
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   172
        /* C2 = C^2, C3 = C^3 */
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   173
        MP_CHECKOK(group->meth->field_sqr(C, C2, group->meth));
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   174
        MP_CHECKOK(group->meth->field_mul(C, C2, C3, group->meth));
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   175
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   176
        /* rz = pz * C */
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   177
        MP_CHECKOK(group->meth->field_mul(pz, C, rz, group->meth));
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   178
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   179
        /* C = px * C^2 */
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   180
        MP_CHECKOK(group->meth->field_mul(px, C2, C, group->meth));
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   181
        /* A = D^2 */
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   182
        MP_CHECKOK(group->meth->field_sqr(D, A, group->meth));
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   183
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   184
        /* rx = D^2 - (C^3 + 2 * (px * C^2)) */
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   185
        MP_CHECKOK(group->meth->field_add(C, C, rx, group->meth));
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   186
        MP_CHECKOK(group->meth->field_add(C3, rx, rx, group->meth));
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   187
        MP_CHECKOK(group->meth->field_sub(A, rx, rx, group->meth));
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diff changeset
   188
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   189
        /* C3 = py * C^3 */
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diff changeset
   190
        MP_CHECKOK(group->meth->field_mul(py, C3, C3, group->meth));
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diff changeset
   191
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   192
        /* ry = D * (px * C^2 - rx) - py * C^3 */
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diff changeset
   193
        MP_CHECKOK(group->meth->field_sub(C, rx, ry, group->meth));
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   194
        MP_CHECKOK(group->meth->field_mul(D, ry, ry, group->meth));
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   195
        MP_CHECKOK(group->meth->field_sub(ry, C3, ry, group->meth));
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diff changeset
   196
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diff changeset
   197
        /* raz4 = a * rz^4 */
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diff changeset
   198
        MP_CHECKOK(group->meth->field_sqr(rz, raz4, group->meth));
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diff changeset
   199
        MP_CHECKOK(group->meth->field_sqr(raz4, raz4, group->meth));
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   200
        MP_CHECKOK(group->meth->
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   201
                           field_mul(raz4, &group->curvea, raz4, group->meth));
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   202
CLEANUP:
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   203
        return res;
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diff changeset
   204
}
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diff changeset
   205
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diff changeset
   206
/* Computes R = nP where R is (rx, ry) and P is the base point. Elliptic
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diff changeset
   207
 * curve points P and R can be identical. Uses mixed Modified-Jacobian
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diff changeset
   208
 * co-ordinates for doubling and Chudnovsky Jacobian coordinates for
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diff changeset
   209
 * additions. Assumes input is already field-encoded using field_enc, and
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diff changeset
   210
 * returns output that is still field-encoded. Uses 5-bit window NAF
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diff changeset
   211
 * method (algorithm 11) for scalar-point multiplication from Brown,
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diff changeset
   212
 * Hankerson, Lopez, Menezes. Software Implementation of the NIST Elliptic
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   213
 * Curves Over Prime Fields. */
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   214
mp_err
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   215
ec_GFp_pt_mul_jm_wNAF(const mp_int *n, const mp_int *px, const mp_int *py,
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   216
                                          mp_int *rx, mp_int *ry, const ECGroup *group)
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   217
{
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   218
        mp_err res = MP_OKAY;
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   219
        mp_int precomp[16][2], rz, tpx, tpy;
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   220
        mp_int raz4;
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diff changeset
   221
        mp_int scratch[MAX_SCRATCH];
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   222
        signed char *naf = NULL;
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diff changeset
   223
        int i, orderBitSize;
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diff changeset
   224
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   225
        MP_DIGITS(&rz) = 0;
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   226
        MP_DIGITS(&raz4) = 0;
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   227
        MP_DIGITS(&tpx) = 0;
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diff changeset
   228
        MP_DIGITS(&tpy) = 0;
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diff changeset
   229
        for (i = 0; i < 16; i++) {
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   230
                MP_DIGITS(&precomp[i][0]) = 0;
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diff changeset
   231
                MP_DIGITS(&precomp[i][1]) = 0;
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diff changeset
   232
        }
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diff changeset
   233
        for (i = 0; i < MAX_SCRATCH; i++) {
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   234
                MP_DIGITS(&scratch[i]) = 0;
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diff changeset
   235
        }
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diff changeset
   236
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   237
        ARGCHK(group != NULL, MP_BADARG);
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   238
        ARGCHK((n != NULL) && (px != NULL) && (py != NULL), MP_BADARG);
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diff changeset
   239
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   240
        /* initialize precomputation table */
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diff changeset
   241
        MP_CHECKOK(mp_init(&tpx, FLAG(n)));
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diff changeset
   242
        MP_CHECKOK(mp_init(&tpy, FLAG(n)));;
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diff changeset
   243
        MP_CHECKOK(mp_init(&rz, FLAG(n)));
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parents:
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   244
        MP_CHECKOK(mp_init(&raz4, FLAG(n)));
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        for (i = 0; i < 16; i++) {
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                MP_CHECKOK(mp_init(&precomp[i][0], FLAG(n)));
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                MP_CHECKOK(mp_init(&precomp[i][1], FLAG(n)));
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        }
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        for (i = 0; i < MAX_SCRATCH; i++) {
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                MP_CHECKOK(mp_init(&scratch[i], FLAG(n)));
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        }
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        /* Set out[8] = P */
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        MP_CHECKOK(mp_copy(px, &precomp[8][0]));
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        MP_CHECKOK(mp_copy(py, &precomp[8][1]));
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        /* Set (tpx, tpy) = 2P */
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        MP_CHECKOK(group->
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                           point_dbl(&precomp[8][0], &precomp[8][1], &tpx, &tpy,
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                                                 group));
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        /* Set 3P, 5P, ..., 15P */
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        for (i = 8; i < 15; i++) {
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                MP_CHECKOK(group->
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                                   point_add(&precomp[i][0], &precomp[i][1], &tpx, &tpy,
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                                                         &precomp[i + 1][0], &precomp[i + 1][1],
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                                                         group));
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        }
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        /* Set -15P, -13P, ..., -P */
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        for (i = 0; i < 8; i++) {
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                MP_CHECKOK(mp_copy(&precomp[15 - i][0], &precomp[i][0]));
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                MP_CHECKOK(group->meth->
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                                   field_neg(&precomp[15 - i][1], &precomp[i][1],
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                                                         group->meth));
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        }
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        /* R = inf */
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        MP_CHECKOK(ec_GFp_pt_set_inf_jac(rx, ry, &rz));
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        orderBitSize = mpl_significant_bits(&group->order);
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        /* Allocate memory for NAF */
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#ifdef _KERNEL
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        naf = (signed char *) kmem_alloc((orderBitSize + 1), FLAG(n));
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#else
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        naf = (signed char *) malloc(sizeof(signed char) * (orderBitSize + 1));
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        if (naf == NULL) {
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                res = MP_MEM;
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                goto CLEANUP;
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        }
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#endif
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   294
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        /* Compute 5NAF */
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        ec_compute_wNAF(naf, orderBitSize, n, 5);
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   297
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        /* wNAF method */
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        for (i = orderBitSize; i >= 0; i--) {
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                /* R = 2R */
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                ec_GFp_pt_dbl_jm(rx, ry, &rz, &raz4, rx, ry, &rz,
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                                             &raz4, scratch, group);
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                if (naf[i] != 0) {
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                        ec_GFp_pt_add_jm_aff(rx, ry, &rz, &raz4,
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   305
                                                                 &precomp[(naf[i] + 15) / 2][0],
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   306
                                                                 &precomp[(naf[i] + 15) / 2][1], rx, ry,
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                                                                 &rz, &raz4, scratch, group);
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   308
                }
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   309
        }
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   311
        /* convert result S to affine coordinates */
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   312
        MP_CHECKOK(ec_GFp_pt_jac2aff(rx, ry, &rz, rx, ry, group));
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   313
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   314
  CLEANUP:
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   315
        for (i = 0; i < MAX_SCRATCH; i++) {
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   316
                mp_clear(&scratch[i]);
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   317
        }
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   318
        for (i = 0; i < 16; i++) {
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   319
                mp_clear(&precomp[i][0]);
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   320
                mp_clear(&precomp[i][1]);
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   321
        }
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   322
        mp_clear(&tpx);
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   323
        mp_clear(&tpy);
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   324
        mp_clear(&rz);
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   325
        mp_clear(&raz4);
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   326
#ifdef _KERNEL
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   327
        kmem_free(naf, (orderBitSize + 1));
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   328
#else
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   329
        free(naf);
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   330
#endif
8e0f58b1c072 6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
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   331
        return res;
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   332
}