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517 lines
17 KiB
C
517 lines
17 KiB
C
/*
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* ***** BEGIN LICENSE BLOCK *****
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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 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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* 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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* ***** END LICENSE BLOCK ***** */
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#include "mpi.h"
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#include "mplogic.h"
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#include "mpprime.h"
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#include "mp_gf2m.h"
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#include "ecl.h"
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#include "ecl-curve.h"
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#include "ec2.h"
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#include <stdio.h>
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#include <strings.h>
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#include <assert.h>
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#include <time.h>
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#include <sys/time.h>
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#include <sys/resource.h>
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/* Time k repetitions of operation op. */
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#define M_TimeOperation(op, k) { \
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double dStart, dNow, dUserTime; \
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struct rusage ru; \
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int i; \
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getrusage(RUSAGE_SELF, &ru); \
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dStart = (double)ru.ru_utime.tv_sec+(double)ru.ru_utime.tv_usec*0.000001; \
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for (i = 0; i < k; i++) { \
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{ op; } \
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}; \
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getrusage(RUSAGE_SELF, &ru); \
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dNow = (double)ru.ru_utime.tv_sec+(double)ru.ru_utime.tv_usec*0.000001; \
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dUserTime = dNow-dStart; \
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if (dUserTime) printf(" %-45s k: %6i, t: %6.2f sec\n", #op, k, dUserTime); \
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}
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/* Test curve using generic field arithmetic. */
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#define ECTEST_GENERIC_GF2M(name_c, name) \
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printf("Testing %s using generic implementation...\n", name_c); \
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params = EC_GetNamedCurveParams(name); \
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if (params == NULL) { \
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printf(" Error: could not construct params.\n"); \
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res = MP_NO; \
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goto CLEANUP; \
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} \
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ECGroup_free(group); \
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group = ECGroup_fromHex(params); \
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if (group == NULL) { \
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printf(" Error: could not construct group.\n"); \
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res = MP_NO; \
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goto CLEANUP; \
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} \
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MP_CHECKOK( ectest_curve_GF2m(group, ectestPrint, ectestTime, 1) ); \
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printf("... okay.\n");
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/* Test curve using specific field arithmetic. */
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#define ECTEST_NAMED_GF2M(name_c, name) \
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printf("Testing %s using specific implementation...\n", name_c); \
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ECGroup_free(group); \
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group = ECGroup_fromName(name); \
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if (group == NULL) { \
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printf(" Warning: could not construct group.\n"); \
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printf("... failed; continuing with remaining tests.\n"); \
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} else { \
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MP_CHECKOK( ectest_curve_GF2m(group, ectestPrint, ectestTime, 0) ); \
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printf("... okay.\n"); \
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}
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/* Performs basic tests of elliptic curve cryptography over binary
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* polynomial fields. If tests fail, then it prints an error message,
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* aborts, and returns an error code. Otherwise, returns 0. */
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int
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ectest_curve_GF2m(ECGroup *group, int ectestPrint, int ectestTime,
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int generic)
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{
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mp_int one, order_1, gx, gy, rx, ry, n;
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int size;
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mp_err res;
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char s[1000];
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/* initialize values */
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MP_CHECKOK(mp_init(&one));
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MP_CHECKOK(mp_init(&order_1));
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MP_CHECKOK(mp_init(&gx));
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MP_CHECKOK(mp_init(&gy));
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MP_CHECKOK(mp_init(&rx));
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MP_CHECKOK(mp_init(&ry));
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MP_CHECKOK(mp_init(&n));
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MP_CHECKOK(mp_set_int(&one, 1));
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MP_CHECKOK(mp_sub(&group->order, &one, &order_1));
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/* encode base point */
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if (group->meth->field_dec) {
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MP_CHECKOK(group->meth->field_dec(&group->genx, &gx, group->meth));
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MP_CHECKOK(group->meth->field_dec(&group->geny, &gy, group->meth));
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} else {
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MP_CHECKOK(mp_copy(&group->genx, &gx));
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MP_CHECKOK(mp_copy(&group->geny, &gy));
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}
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if (ectestPrint) {
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/* output base point */
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printf(" base point P:\n");
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MP_CHECKOK(mp_toradix(&gx, s, 16));
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printf(" %s\n", s);
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MP_CHECKOK(mp_toradix(&gy, s, 16));
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printf(" %s\n", s);
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if (group->meth->field_enc) {
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printf(" base point P (encoded):\n");
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MP_CHECKOK(mp_toradix(&group->genx, s, 16));
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printf(" %s\n", s);
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MP_CHECKOK(mp_toradix(&group->geny, s, 16));
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printf(" %s\n", s);
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}
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}
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#ifdef ECL_ENABLE_GF2M_PT_MUL_AFF
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/* multiply base point by order - 1 and check for negative of base
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* point */
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MP_CHECKOK(ec_GF2m_pt_mul_aff
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(&order_1, &group->genx, &group->geny, &rx, &ry, group));
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if (ectestPrint) {
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printf(" (order-1)*P (affine):\n");
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MP_CHECKOK(mp_toradix(&rx, s, 16));
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printf(" %s\n", s);
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MP_CHECKOK(mp_toradix(&ry, s, 16));
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printf(" %s\n", s);
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}
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MP_CHECKOK(group->meth->field_add(&ry, &rx, &ry, group->meth));
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if ((mp_cmp(&rx, &group->genx) != 0)
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|| (mp_cmp(&ry, &group->geny) != 0)) {
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printf(" Error: invalid result (expected (- base point)).\n");
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res = MP_NO;
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goto CLEANUP;
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}
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#endif
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/* multiply base point by order - 1 and check for negative of base
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* point */
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MP_CHECKOK(ec_GF2m_pt_mul_mont
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(&order_1, &group->genx, &group->geny, &rx, &ry, group));
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if (ectestPrint) {
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printf(" (order-1)*P (montgomery):\n");
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MP_CHECKOK(mp_toradix(&rx, s, 16));
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printf(" %s\n", s);
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MP_CHECKOK(mp_toradix(&ry, s, 16));
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printf(" %s\n", s);
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}
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MP_CHECKOK(group->meth->field_add(&ry, &rx, &ry, group->meth));
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if ((mp_cmp(&rx, &group->genx) != 0)
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|| (mp_cmp(&ry, &group->geny) != 0)) {
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printf(" Error: invalid result (expected (- base point)).\n");
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res = MP_NO;
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goto CLEANUP;
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}
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#ifdef ECL_ENABLE_GF2M_PROJ
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/* multiply base point by order - 1 and check for negative of base
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* point */
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MP_CHECKOK(ec_GF2m_pt_mul_proj
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(&order_1, &group->genx, &group->geny, &rx, &ry, group));
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if (ectestPrint) {
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printf(" (order-1)*P (projective):\n");
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MP_CHECKOK(mp_toradix(&rx, s, 16));
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printf(" %s\n", s);
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MP_CHECKOK(mp_toradix(&ry, s, 16));
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printf(" %s\n", s);
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}
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MP_CHECKOK(group->meth->field_add(&ry, &rx, &ry, group->meth));
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if ((mp_cmp(&rx, &group->genx) != 0)
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|| (mp_cmp(&ry, &group->geny) != 0)) {
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printf(" Error: invalid result (expected (- base point)).\n");
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res = MP_NO;
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goto CLEANUP;
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}
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#endif
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/* multiply base point by order - 1 and check for negative of base
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* point */
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MP_CHECKOK(ECPoint_mul(group, &order_1, NULL, NULL, &rx, &ry));
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if (ectestPrint) {
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printf(" (order-1)*P (ECPoint_mul):\n");
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MP_CHECKOK(mp_toradix(&rx, s, 16));
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printf(" %s\n", s);
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MP_CHECKOK(mp_toradix(&ry, s, 16));
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printf(" %s\n", s);
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}
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MP_CHECKOK(ec_GF2m_add(&ry, &rx, &ry, group->meth));
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if ((mp_cmp(&rx, &gx) != 0) || (mp_cmp(&ry, &gy) != 0)) {
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printf(" Error: invalid result (expected (- base point)).\n");
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res = MP_NO;
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goto CLEANUP;
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}
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/* multiply base point by order - 1 and check for negative of base
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* point */
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MP_CHECKOK(ECPoint_mul(group, &order_1, &gx, &gy, &rx, &ry));
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if (ectestPrint) {
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printf(" (order-1)*P (ECPoint_mul):\n");
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MP_CHECKOK(mp_toradix(&rx, s, 16));
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printf(" %s\n", s);
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MP_CHECKOK(mp_toradix(&ry, s, 16));
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printf(" %s\n", s);
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}
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MP_CHECKOK(ec_GF2m_add(&ry, &rx, &ry, group->meth));
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if ((mp_cmp(&rx, &gx) != 0) || (mp_cmp(&ry, &gy) != 0)) {
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printf(" Error: invalid result (expected (- base point)).\n");
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res = MP_NO;
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goto CLEANUP;
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}
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#ifdef ECL_ENABLE_GF2M_PT_MUL_AFF
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/* multiply base point by order and check for point at infinity */
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MP_CHECKOK(ec_GF2m_pt_mul_aff
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(&group->order, &group->genx, &group->geny, &rx, &ry,
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group));
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if (ectestPrint) {
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printf(" (order)*P (affine):\n");
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MP_CHECKOK(mp_toradix(&rx, s, 16));
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printf(" %s\n", s);
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MP_CHECKOK(mp_toradix(&ry, s, 16));
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printf(" %s\n", s);
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}
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if (ec_GF2m_pt_is_inf_aff(&rx, &ry) != MP_YES) {
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printf(" Error: invalid result (expected point at infinity).\n");
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res = MP_NO;
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goto CLEANUP;
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}
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#endif
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/* multiply base point by order and check for point at infinity */
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MP_CHECKOK(ec_GF2m_pt_mul_mont
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(&group->order, &group->genx, &group->geny, &rx, &ry,
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group));
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if (ectestPrint) {
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printf(" (order)*P (montgomery):\n");
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MP_CHECKOK(mp_toradix(&rx, s, 16));
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printf(" %s\n", s);
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MP_CHECKOK(mp_toradix(&ry, s, 16));
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printf(" %s\n", s);
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}
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if (ec_GF2m_pt_is_inf_aff(&rx, &ry) != MP_YES) {
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printf(" Error: invalid result (expected point at infinity).\n");
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res = MP_NO;
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goto CLEANUP;
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}
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#ifdef ECL_ENABLE_GF2M_PROJ
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/* multiply base point by order and check for point at infinity */
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MP_CHECKOK(ec_GF2m_pt_mul_proj
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(&group->order, &group->genx, &group->geny, &rx, &ry,
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group));
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if (ectestPrint) {
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printf(" (order)*P (projective):\n");
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MP_CHECKOK(mp_toradix(&rx, s, 16));
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printf(" %s\n", s);
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MP_CHECKOK(mp_toradix(&ry, s, 16));
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printf(" %s\n", s);
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}
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if (ec_GF2m_pt_is_inf_aff(&rx, &ry) != MP_YES) {
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printf(" Error: invalid result (expected point at infinity).\n");
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res = MP_NO;
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goto CLEANUP;
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}
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#endif
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/* multiply base point by order and check for point at infinity */
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MP_CHECKOK(ECPoint_mul(group, &group->order, NULL, NULL, &rx, &ry));
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if (ectestPrint) {
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printf(" (order)*P (ECPoint_mul):\n");
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MP_CHECKOK(mp_toradix(&rx, s, 16));
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printf(" %s\n", s);
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MP_CHECKOK(mp_toradix(&ry, s, 16));
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printf(" %s\n", s);
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}
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if (ec_GF2m_pt_is_inf_aff(&rx, &ry) != MP_YES) {
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printf(" Error: invalid result (expected point at infinity).\n");
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res = MP_NO;
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goto CLEANUP;
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}
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/* multiply base point by order and check for point at infinity */
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MP_CHECKOK(ECPoint_mul(group, &group->order, &gx, &gy, &rx, &ry));
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if (ectestPrint) {
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printf(" (order)*P (ECPoint_mul):\n");
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MP_CHECKOK(mp_toradix(&rx, s, 16));
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printf(" %s\n", s);
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MP_CHECKOK(mp_toradix(&ry, s, 16));
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printf(" %s\n", s);
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}
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if (ec_GF2m_pt_is_inf_aff(&rx, &ry) != MP_YES) {
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printf(" Error: invalid result (expected point at infinity).\n");
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res = MP_NO;
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goto CLEANUP;
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}
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/* check that (order-1)P + (order-1)P + P == (order-1)P */
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MP_CHECKOK(ECPoints_mul
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(group, &order_1, &order_1, &gx, &gy, &rx, &ry));
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MP_CHECKOK(ECPoints_mul(group, &one, &one, &rx, &ry, &rx, &ry));
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if (ectestPrint) {
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printf
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(" (order-1)*P + (order-1)*P + P == (order-1)*P (ECPoints_mul):\n");
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MP_CHECKOK(mp_toradix(&rx, s, 16));
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printf(" %s\n", s);
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MP_CHECKOK(mp_toradix(&ry, s, 16));
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printf(" %s\n", s);
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}
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MP_CHECKOK(ec_GF2m_add(&ry, &rx, &ry, group->meth));
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if ((mp_cmp(&rx, &gx) != 0) || (mp_cmp(&ry, &gy) != 0)) {
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printf(" Error: invalid result (expected (- base point)).\n");
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res = MP_NO;
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goto CLEANUP;
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}
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/* test validate_point function */
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if (ECPoint_validate(group, &gx, &gy) != MP_YES) {
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printf(" Error: validate point on base point failed.\n");
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res = MP_NO;
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goto CLEANUP;
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}
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MP_CHECKOK(mp_add_d(&gy, 1, &ry));
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if (ECPoint_validate(group, &gx, &ry) != MP_NO) {
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printf(" Error: validate point on invalid point passed.\n");
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res = MP_NO;
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goto CLEANUP;
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}
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if (ectestTime) {
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/* compute random scalar */
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size = mpl_significant_bits(&group->meth->irr);
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if (size < MP_OKAY) {
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goto CLEANUP;
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}
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MP_CHECKOK(mpp_random_size(&n, (size + ECL_BITS - 1) / ECL_BITS));
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MP_CHECKOK(group->meth->field_mod(&n, &n, group->meth));
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/* timed test */
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if (generic) {
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#ifdef ECL_ENABLE_GF2M_PT_MUL_AFF
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M_TimeOperation(MP_CHECKOK
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(ec_GF2m_pt_mul_aff
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(&n, &group->genx, &group->geny, &rx, &ry,
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group)), 100);
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#endif
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M_TimeOperation(MP_CHECKOK
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(ECPoint_mul(group, &n, NULL, NULL, &rx, &ry)),
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100);
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M_TimeOperation(MP_CHECKOK
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(ECPoints_mul
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(group, &n, &n, &gx, &gy, &rx, &ry)), 100);
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} else {
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M_TimeOperation(MP_CHECKOK
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(ECPoint_mul(group, &n, NULL, NULL, &rx, &ry)),
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100);
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M_TimeOperation(MP_CHECKOK
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(ECPoint_mul(group, &n, &gx, &gy, &rx, &ry)),
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100);
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M_TimeOperation(MP_CHECKOK
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(ECPoints_mul
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(group, &n, &n, &gx, &gy, &rx, &ry)), 100);
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}
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}
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CLEANUP:
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mp_clear(&one);
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mp_clear(&order_1);
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mp_clear(&gx);
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mp_clear(&gy);
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mp_clear(&rx);
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mp_clear(&ry);
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mp_clear(&n);
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if (res != MP_OKAY) {
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printf(" Error: exiting with error value %i\n", res);
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}
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return res;
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}
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/* Prints help information. */
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void
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printUsage()
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{
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printf("Usage: ecp_test [--print] [--time]\n");
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printf
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(" --print Print out results of each point arithmetic test.\n");
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printf
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(" --time Benchmark point operations and print results.\n");
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}
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/* Performs tests of elliptic curve cryptography over binary polynomial
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* fields. If tests fail, then it prints an error message, aborts, and
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* returns an error code. Otherwise, returns 0. */
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int
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main(int argv, char **argc)
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{
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int ectestTime = 0;
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int ectestPrint = 0;
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int i;
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ECGroup *group = NULL;
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ECCurveParams *params = NULL;
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mp_err res;
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/* read command-line arguments */
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for (i = 1; i < argv; i++) {
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if ((strcasecmp(argc[i], "time") == 0)
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|| (strcasecmp(argc[i], "-time") == 0)
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|| (strcasecmp(argc[i], "--time") == 0)) {
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ectestTime = 1;
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} else if ((strcasecmp(argc[i], "print") == 0)
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|| (strcasecmp(argc[i], "-print") == 0)
|
|
|| (strcasecmp(argc[i], "--print") == 0)) {
|
|
ectestPrint = 1;
|
|
} else {
|
|
printUsage();
|
|
return 0;
|
|
}
|
|
}
|
|
|
|
/* generic arithmetic tests */
|
|
ECTEST_GENERIC_GF2M("SECT-131R1", ECCurve_SECG_CHAR2_131R1);
|
|
|
|
/* specific arithmetic tests */
|
|
ECTEST_NAMED_GF2M("NIST-K163", ECCurve_NIST_K163);
|
|
ECTEST_NAMED_GF2M("NIST-B163", ECCurve_NIST_B163);
|
|
ECTEST_NAMED_GF2M("NIST-K233", ECCurve_NIST_K233);
|
|
ECTEST_NAMED_GF2M("NIST-B233", ECCurve_NIST_B233);
|
|
ECTEST_NAMED_GF2M("NIST-K283", ECCurve_NIST_K283);
|
|
ECTEST_NAMED_GF2M("NIST-B283", ECCurve_NIST_B283);
|
|
ECTEST_NAMED_GF2M("NIST-K409", ECCurve_NIST_K409);
|
|
ECTEST_NAMED_GF2M("NIST-B409", ECCurve_NIST_B409);
|
|
ECTEST_NAMED_GF2M("NIST-K571", ECCurve_NIST_K571);
|
|
ECTEST_NAMED_GF2M("NIST-B571", ECCurve_NIST_B571);
|
|
ECTEST_NAMED_GF2M("ANSI X9.62 C2PNB163V1", ECCurve_X9_62_CHAR2_PNB163V1);
|
|
ECTEST_NAMED_GF2M("ANSI X9.62 C2PNB163V2", ECCurve_X9_62_CHAR2_PNB163V2);
|
|
ECTEST_NAMED_GF2M("ANSI X9.62 C2PNB163V3", ECCurve_X9_62_CHAR2_PNB163V3);
|
|
ECTEST_NAMED_GF2M("ANSI X9.62 C2PNB176V1", ECCurve_X9_62_CHAR2_PNB176V1);
|
|
ECTEST_NAMED_GF2M("ANSI X9.62 C2TNB191V1", ECCurve_X9_62_CHAR2_TNB191V1);
|
|
ECTEST_NAMED_GF2M("ANSI X9.62 C2TNB191V2", ECCurve_X9_62_CHAR2_TNB191V2);
|
|
ECTEST_NAMED_GF2M("ANSI X9.62 C2TNB191V3", ECCurve_X9_62_CHAR2_TNB191V3);
|
|
ECTEST_NAMED_GF2M("ANSI X9.62 C2PNB208W1", ECCurve_X9_62_CHAR2_PNB208W1);
|
|
ECTEST_NAMED_GF2M("ANSI X9.62 C2TNB239V1", ECCurve_X9_62_CHAR2_TNB239V1);
|
|
ECTEST_NAMED_GF2M("ANSI X9.62 C2TNB239V2", ECCurve_X9_62_CHAR2_TNB239V2);
|
|
ECTEST_NAMED_GF2M("ANSI X9.62 C2TNB239V3", ECCurve_X9_62_CHAR2_TNB239V3);
|
|
ECTEST_NAMED_GF2M("ANSI X9.62 C2PNB272W1", ECCurve_X9_62_CHAR2_PNB272W1);
|
|
ECTEST_NAMED_GF2M("ANSI X9.62 C2PNB304W1", ECCurve_X9_62_CHAR2_PNB304W1);
|
|
ECTEST_NAMED_GF2M("ANSI X9.62 C2TNB359V1", ECCurve_X9_62_CHAR2_TNB359V1);
|
|
ECTEST_NAMED_GF2M("ANSI X9.62 C2PNB368W1", ECCurve_X9_62_CHAR2_PNB368W1);
|
|
ECTEST_NAMED_GF2M("ANSI X9.62 C2TNB431R1", ECCurve_X9_62_CHAR2_TNB431R1);
|
|
ECTEST_NAMED_GF2M("SECT-113R1", ECCurve_SECG_CHAR2_113R1);
|
|
ECTEST_NAMED_GF2M("SECT-113R2", ECCurve_SECG_CHAR2_113R2);
|
|
ECTEST_NAMED_GF2M("SECT-131R1", ECCurve_SECG_CHAR2_131R1);
|
|
ECTEST_NAMED_GF2M("SECT-131R2", ECCurve_SECG_CHAR2_131R2);
|
|
ECTEST_NAMED_GF2M("SECT-163K1", ECCurve_SECG_CHAR2_163K1);
|
|
ECTEST_NAMED_GF2M("SECT-163R1", ECCurve_SECG_CHAR2_163R1);
|
|
ECTEST_NAMED_GF2M("SECT-163R2", ECCurve_SECG_CHAR2_163R2);
|
|
ECTEST_NAMED_GF2M("SECT-193R1", ECCurve_SECG_CHAR2_193R1);
|
|
ECTEST_NAMED_GF2M("SECT-193R2", ECCurve_SECG_CHAR2_193R2);
|
|
ECTEST_NAMED_GF2M("SECT-233K1", ECCurve_SECG_CHAR2_233K1);
|
|
ECTEST_NAMED_GF2M("SECT-233R1", ECCurve_SECG_CHAR2_233R1);
|
|
ECTEST_NAMED_GF2M("SECT-239K1", ECCurve_SECG_CHAR2_239K1);
|
|
ECTEST_NAMED_GF2M("SECT-283K1", ECCurve_SECG_CHAR2_283K1);
|
|
ECTEST_NAMED_GF2M("SECT-283R1", ECCurve_SECG_CHAR2_283R1);
|
|
ECTEST_NAMED_GF2M("SECT-409K1", ECCurve_SECG_CHAR2_409K1);
|
|
ECTEST_NAMED_GF2M("SECT-409R1", ECCurve_SECG_CHAR2_409R1);
|
|
ECTEST_NAMED_GF2M("SECT-571K1", ECCurve_SECG_CHAR2_571K1);
|
|
ECTEST_NAMED_GF2M("SECT-571R1", ECCurve_SECG_CHAR2_571R1);
|
|
ECTEST_NAMED_GF2M("WTLS-1 (113)", ECCurve_WTLS_1);
|
|
ECTEST_NAMED_GF2M("WTLS-3 (163)", ECCurve_WTLS_3);
|
|
ECTEST_NAMED_GF2M("WTLS-4 (113)", ECCurve_WTLS_4);
|
|
ECTEST_NAMED_GF2M("WTLS-5 (163)", ECCurve_WTLS_5);
|
|
ECTEST_NAMED_GF2M("WTLS-10 (233)", ECCurve_WTLS_10);
|
|
ECTEST_NAMED_GF2M("WTLS-11 (233)", ECCurve_WTLS_11);
|
|
|
|
CLEANUP:
|
|
EC_FreeCurveParams(params);
|
|
ECGroup_free(group);
|
|
if (res != MP_OKAY) {
|
|
printf("Error: exiting with error value %i\n", res);
|
|
}
|
|
return res;
|
|
}
|