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/* crypto/ec/ectest.c */
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/*
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 * Originally written by Bodo Moeller for the OpenSSL project.
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 */
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/* ====================================================================
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 * Copyright (c) 1998-2001 The OpenSSL Project.  All rights reserved.
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 *
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 * Redistribution and use in source and binary forms, with or without
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 * modification, are permitted provided that the following conditions
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 * are met:
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 *
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 * 1. Redistributions of source code must retain the above copyright
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 *    notice, this list of conditions and the following disclaimer.
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 *
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 * 2. Redistributions in binary form must reproduce the above copyright
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 *    notice, this list of conditions and the following disclaimer in
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 *    the documentation and/or other materials provided with the
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 *    distribution.
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 *
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 * 3. All advertising materials mentioning features or use of this
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 *    software must display the following acknowledgment:
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 *    "This product includes software developed by the OpenSSL Project
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 *    for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
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 *
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 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
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 *    endorse or promote products derived from this software without
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 *    prior written permission. For written permission, please contact
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 *    openssl-core@openssl.org.
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 *
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 * 5. Products derived from this software may not be called "OpenSSL"
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 *    nor may "OpenSSL" appear in their names without prior written
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 *    permission of the OpenSSL Project.
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 *
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 * 6. Redistributions of any form whatsoever must retain the following
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 *    acknowledgment:
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 *    "This product includes software developed by the OpenSSL Project
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 *    for use in the OpenSSL Toolkit (http://www.openssl.org/)"
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 *
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 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
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 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
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 * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE OpenSSL PROJECT OR
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 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
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 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
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 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
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 * OF THE POSSIBILITY OF SUCH DAMAGE.
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 * ====================================================================
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 *
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 * This product includes cryptographic software written by Eric Young
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 * (eay@cryptsoft.com).  This product includes software written by Tim
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 * Hudson (tjh@cryptsoft.com).
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 *
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 */
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/* ====================================================================
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 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
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 *
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 * Portions of the attached software ("Contribution") are developed by
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 * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
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 *
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 * The Contribution is licensed pursuant to the OpenSSL open source
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 * license provided above.
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 *
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 * The elliptic curve binary polynomial software is originally written by
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 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
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 *
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 */
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#include <stdio.h>
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#include <stdlib.h>
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#ifdef FLAT_INC
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# include "e_os.h"
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#else
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# include "../e_os.h"
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#endif
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#include <string.h>
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#include <time.h>
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#ifdef OPENSSL_NO_EC
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int main(int argc, char *argv[])
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{
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    puts("Elliptic curves are disabled.");
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    return 0;
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}
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#else
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# include <openssl ec.h="">
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# ifndef OPENSSL_NO_ENGINE
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#  include <openssl engine.h="">
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# endif
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# include <openssl err.h="">
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# include <openssl obj_mac.h="">
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# include <openssl objects.h="">
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# include <openssl rand.h="">
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# include <openssl bn.h="">
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# include <openssl opensslconf.h="">
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# if defined(_MSC_VER) && defined(_MIPS_) && (_MSC_VER/100==12)
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/* suppress "too big too optimize" warning */
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#  pragma warning(disable:4959)
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# endif
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# define ABORT do { \
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        fflush(stdout); \
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        fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \
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        ERR_print_errors_fp(stderr); \
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        EXIT(1); \
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} while (0)
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# define TIMING_BASE_PT 0
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# define TIMING_RAND_PT 1
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# define TIMING_SIMUL 2
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# if 0
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static void timings(EC_GROUP *group, int type, BN_CTX *ctx)
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{
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    clock_t clck;
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    int i, j;
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    BIGNUM *s;
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    BIGNUM *r[10], *r0[10];
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    EC_POINT *P;
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    s = BN_new();
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    if (s == NULL)
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        ABORT;
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    fprintf(stdout, "Timings for %d-bit field, ", EC_GROUP_get_degree(group));
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    if (!EC_GROUP_get_order(group, s, ctx))
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        ABORT;
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    fprintf(stdout, "%d-bit scalars ", (int)BN_num_bits(s));
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    fflush(stdout);
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    P = EC_POINT_new(group);
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    if (P == NULL)
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        ABORT;
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    EC_POINT_copy(P, EC_GROUP_get0_generator(group));
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    for (i = 0; i < 10; i++) {
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        if ((r[i] = BN_new()) == NULL)
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            ABORT;
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        if (!BN_pseudo_rand(r[i], BN_num_bits(s), 0, 0))
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            ABORT;
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        if (type != TIMING_BASE_PT) {
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            if ((r0[i] = BN_new()) == NULL)
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                ABORT;
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            if (!BN_pseudo_rand(r0[i], BN_num_bits(s), 0, 0))
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                ABORT;
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        }
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    }
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    clck = clock();
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    for (i = 0; i < 10; i++) {
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        for (j = 0; j < 10; j++) {
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            if (!EC_POINT_mul
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                (group, P, (type != TIMING_RAND_PT) ? r[i] : NULL,
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                 (type != TIMING_BASE_PT) ? P : NULL,
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                 (type != TIMING_BASE_PT) ? r0[i] : NULL, ctx))
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                ABORT;
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        }
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    }
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    clck = clock() - clck;
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    fprintf(stdout, "\n");
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#  ifdef CLOCKS_PER_SEC
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    /*
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     * "To determine the time in seconds, the value returned by the clock
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     * function should be divided by the value of the macro CLOCKS_PER_SEC."
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     * -- ISO/IEC 9899
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     */
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#   define UNIT "s"
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#  else
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    /*
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     * "`CLOCKS_PER_SEC' undeclared (first use this function)" -- cc on
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     * NeXTstep/OpenStep
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     */
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#   define UNIT "units"
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#   define CLOCKS_PER_SEC 1
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#  endif
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    if (type == TIMING_BASE_PT) {
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        fprintf(stdout, "%i %s in %.2f " UNIT "\n", i * j,
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                "base point multiplications", (double)clck / CLOCKS_PER_SEC);
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    } else if (type == TIMING_RAND_PT) {
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        fprintf(stdout, "%i %s in %.2f " UNIT "\n", i * j,
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                "random point multiplications",
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                (double)clck / CLOCKS_PER_SEC);
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    } else if (type == TIMING_SIMUL) {
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        fprintf(stdout, "%i %s in %.2f " UNIT "\n", i * j,
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                "s*P+t*Q operations", (double)clck / CLOCKS_PER_SEC);
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    }
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    fprintf(stdout, "average: %.4f " UNIT "\n",
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            (double)clck / (CLOCKS_PER_SEC * i * j));
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    EC_POINT_free(P);
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    BN_free(s);
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    for (i = 0; i < 10; i++) {
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        BN_free(r[i]);
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        if (type != TIMING_BASE_PT)
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            BN_free(r0[i]);
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    }
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}
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# endif
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/* test multiplication with group order, long and negative scalars */
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static void group_order_tests(EC_GROUP *group)
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{
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    BIGNUM *n1, *n2, *order;
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    EC_POINT *P = EC_POINT_new(group);
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    EC_POINT *Q = EC_POINT_new(group);
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    BN_CTX *ctx = BN_CTX_new();
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    int i;
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    n1 = BN_new();
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    n2 = BN_new();
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    order = BN_new();
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    fprintf(stdout, "verify group order ...");
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    fflush(stdout);
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    if (!EC_GROUP_get_order(group, order, ctx))
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        ABORT;
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    if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx))
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        ABORT;
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    if (!EC_POINT_is_at_infinity(group, Q))
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        ABORT;
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    fprintf(stdout, ".");
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    fflush(stdout);
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    if (!EC_GROUP_precompute_mult(group, ctx))
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        ABORT;
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    if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx))
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        ABORT;
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    if (!EC_POINT_is_at_infinity(group, Q))
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        ABORT;
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    fprintf(stdout, " ok\n");
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    fprintf(stdout, "long/negative scalar tests ");
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    for (i = 1; i <= 2; i++) {
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        const BIGNUM *scalars[6];
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        const EC_POINT *points[6];
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        fprintf(stdout, i == 1 ?
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                "allowing precomputation ... " :
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                "without precomputation ... ");
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        if (!BN_set_word(n1, i))
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            ABORT;
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        /*
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         * If i == 1, P will be the predefined generator for which
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         * EC_GROUP_precompute_mult has set up precomputation.
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         */
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        if (!EC_POINT_mul(group, P, n1, NULL, NULL, ctx))
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            ABORT;
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        if (!BN_one(n1))
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            ABORT;
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        /* n1 = 1 - order */
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        if (!BN_sub(n1, n1, order))
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            ABORT;
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        if (!EC_POINT_mul(group, Q, NULL, P, n1, ctx))
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            ABORT;
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        if (0 != EC_POINT_cmp(group, Q, P, ctx))
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            ABORT;
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        /* n2 = 1 + order */
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        if (!BN_add(n2, order, BN_value_one()))
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            ABORT;
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        if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx))
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            ABORT;
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        if (0 != EC_POINT_cmp(group, Q, P, ctx))
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            ABORT;
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        /* n2 = (1 - order) * (1 + order) = 1 - order^2 */
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        if (!BN_mul(n2, n1, n2, ctx))
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            ABORT;
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        if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx))
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            ABORT;
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        if (0 != EC_POINT_cmp(group, Q, P, ctx))
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            ABORT;
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        /* n2 = order^2 - 1 */
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        BN_set_negative(n2, 0);
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        if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx))
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            ABORT;
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        /* Add P to verify the result. */
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        if (!EC_POINT_add(group, Q, Q, P, ctx))
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            ABORT;
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        if (!EC_POINT_is_at_infinity(group, Q))
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            ABORT;
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        /* Exercise EC_POINTs_mul, including corner cases. */
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        if (EC_POINT_is_at_infinity(group, P))
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            ABORT;
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        scalars[0] = n1;
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        points[0] = Q;          /* => infinity */
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        scalars[1] = n2;
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        points[1] = P;          /* => -P */
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        scalars[2] = n1;
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        points[2] = Q;          /* => infinity */
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        scalars[3] = n2;
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        points[3] = Q;          /* => infinity */
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        scalars[4] = n1;
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        points[4] = P;          /* => P */
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        scalars[5] = n2;
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        points[5] = Q;          /* => infinity */
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        if (!EC_POINTs_mul(group, P, NULL, 6, points, scalars, ctx))
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            ABORT;
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        if (!EC_POINT_is_at_infinity(group, P))
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            ABORT;
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    }
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    fprintf(stdout, "ok\n");
cfec1a
cfec1a
    EC_POINT_free(P);
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    EC_POINT_free(Q);
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    BN_free(n1);
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    BN_free(n2);
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    BN_free(order);
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    BN_CTX_free(ctx);
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}
a5ef24
a5ef24
static void prime_field_tests(void)
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{
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    BN_CTX *ctx = NULL;
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    BIGNUM *p, *a, *b;
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    EC_GROUP *group;
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    EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 =
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        NULL, *P_384 = NULL, *P_521 = NULL;
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    EC_POINT *P, *Q, *R;
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    BIGNUM *x, *y, *z;
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    unsigned char buf[100];
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    size_t i, len;
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    int k;
cfec1a
cfec1a
# if 1                          /* optional */
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    ctx = BN_CTX_new();
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    if (!ctx)
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        ABORT;
cfec1a
# endif
cfec1a
cfec1a
    p = BN_new();
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    a = BN_new();
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    b = BN_new();
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    if (!p || !a || !b)
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        ABORT;
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    group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use
cfec1a
                                                 * EC_GROUP_new_curve_GFp so
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                                                 * that the library gets to
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                                                 * choose the EC_METHOD */
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    if (!group)
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        ABORT;
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    P = EC_POINT_new(group);
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    Q = EC_POINT_new(group);
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    R = EC_POINT_new(group);
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    if (!P || !Q || !R)
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        ABORT;
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    x = BN_new();
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    y = BN_new();
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    z = BN_new();
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    if (!x || !y || !z)
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        ABORT;
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    /* Curve P-256 (FIPS PUB 186-2, App. 6) */
cfec1a
cfec1a
    if (!BN_hex2bn
cfec1a
        (&p,
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         "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF"))
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        ABORT;
cfec1a
    if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
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        ABORT;
cfec1a
    if (!BN_hex2bn
cfec1a
        (&a,
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         "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC"))
cfec1a
        ABORT;
cfec1a
    if (!BN_hex2bn
cfec1a
        (&b,
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         "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B"))
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        ABORT;
cfec1a
    if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
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        ABORT;
cfec1a
cfec1a
    if (!BN_hex2bn
cfec1a
        (&x,
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         "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296"))
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        ABORT;
cfec1a
    if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx))
cfec1a
        ABORT;
cfec1a
    if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
cfec1a
        ABORT;
cfec1a
    if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E"
cfec1a
                   "84F3B9CAC2FC632551"))
cfec1a
        ABORT;
cfec1a
    if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
cfec1a
        ABORT;
cfec1a
cfec1a
    if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
cfec1a
        ABORT;
cfec1a
    fprintf(stdout, "\nNIST curve P-256 -- Generator:\n     x = 0x");
cfec1a
    BN_print_fp(stdout, x);
cfec1a
    fprintf(stdout, "\n     y = 0x");
cfec1a
    BN_print_fp(stdout, y);
cfec1a
    fprintf(stdout, "\n");
cfec1a
    /* G_y value taken from the standard: */
cfec1a
    if (!BN_hex2bn
cfec1a
        (&z,
cfec1a
         "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5"))
cfec1a
        ABORT;
cfec1a
    if (0 != BN_cmp(y, z))
cfec1a
        ABORT;
cfec1a
cfec1a
    fprintf(stdout, "verify degree ...");
cfec1a
    if (EC_GROUP_get_degree(group) != 256)
cfec1a
        ABORT;
cfec1a
    fprintf(stdout, " ok\n");
cfec1a
cfec1a
    group_order_tests(group);
cfec1a
cfec1a
    if (!(P_256 = EC_GROUP_new(EC_GROUP_method_of(group))))
cfec1a
        ABORT;
cfec1a
    if (!EC_GROUP_copy(P_256, group))
cfec1a
        ABORT;
cfec1a
cfec1a
    /* Curve P-384 (FIPS PUB 186-2, App. 6) */
cfec1a
cfec1a
    if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
cfec1a
                   "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF"))
cfec1a
        ABORT;
cfec1a
    if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
cfec1a
        ABORT;
cfec1a
    if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
cfec1a
                   "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC"))
cfec1a
        ABORT;
cfec1a
    if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141"
cfec1a
                   "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF"))
cfec1a
        ABORT;
cfec1a
    if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
cfec1a
        ABORT;
cfec1a
cfec1a
    if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B"
cfec1a
                   "9859F741E082542A385502F25DBF55296C3A545E3872760AB7"))
cfec1a
        ABORT;
cfec1a
    if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx))
cfec1a
        ABORT;
cfec1a
    if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
cfec1a
        ABORT;
cfec1a
    if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
cfec1a
                   "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973"))
cfec1a
        ABORT;
cfec1a
    if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
cfec1a
        ABORT;
cfec1a
cfec1a
    if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
cfec1a
        ABORT;
cfec1a
    fprintf(stdout, "\nNIST curve P-384 -- Generator:\n     x = 0x");
cfec1a
    BN_print_fp(stdout, x);
cfec1a
    fprintf(stdout, "\n     y = 0x");
cfec1a
    BN_print_fp(stdout, y);
cfec1a
    fprintf(stdout, "\n");
cfec1a
    /* G_y value taken from the standard: */
cfec1a
    if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14"
cfec1a
                   "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F"))
cfec1a
        ABORT;
cfec1a
    if (0 != BN_cmp(y, z))
cfec1a
        ABORT;
cfec1a
cfec1a
    fprintf(stdout, "verify degree ...");
cfec1a
    if (EC_GROUP_get_degree(group) != 384)
cfec1a
        ABORT;
cfec1a
    fprintf(stdout, " ok\n");
cfec1a
cfec1a
    group_order_tests(group);
cfec1a
cfec1a
    if (!(P_384 = EC_GROUP_new(EC_GROUP_method_of(group))))
cfec1a
        ABORT;
cfec1a
    if (!EC_GROUP_copy(P_384, group))
cfec1a
        ABORT;
cfec1a
cfec1a
    /* Curve P-521 (FIPS PUB 186-2, App. 6) */
cfec1a
cfec1a
    if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
cfec1a
                   "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
cfec1a
                   "FFFFFFFFFFFFFFFFFFFFFFFFFFFF"))
cfec1a
        ABORT;
cfec1a
    if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
cfec1a
        ABORT;
cfec1a
    if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
cfec1a
                   "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
cfec1a
                   "FFFFFFFFFFFFFFFFFFFFFFFFFFFC"))
cfec1a
        ABORT;
cfec1a
    if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B"
cfec1a
                   "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573"
cfec1a
                   "DF883D2C34F1EF451FD46B503F00"))
cfec1a
        ABORT;
cfec1a
    if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
cfec1a
        ABORT;
cfec1a
cfec1a
    if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F"
cfec1a
                   "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B"
cfec1a
                   "3C1856A429BF97E7E31C2E5BD66"))
cfec1a
        ABORT;
cfec1a
    if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx))
cfec1a
        ABORT;
cfec1a
    if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
cfec1a
        ABORT;
cfec1a
    if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
cfec1a
                   "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5"
cfec1a
                   "C9B8899C47AEBB6FB71E91386409"))
cfec1a
        ABORT;
cfec1a
    if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
cfec1a
        ABORT;
cfec1a
cfec1a
    if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
cfec1a
        ABORT;
cfec1a
    fprintf(stdout, "\nNIST curve P-521 -- Generator:\n     x = 0x");
cfec1a
    BN_print_fp(stdout, x);
cfec1a
    fprintf(stdout, "\n     y = 0x");
cfec1a
    BN_print_fp(stdout, y);
cfec1a
    fprintf(stdout, "\n");
cfec1a
    /* G_y value taken from the standard: */
cfec1a
    if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579"
cfec1a
                   "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C"
cfec1a
                   "7086A272C24088BE94769FD16650"))
cfec1a
        ABORT;
cfec1a
    if (0 != BN_cmp(y, z))
cfec1a
        ABORT;
cfec1a
cfec1a
    fprintf(stdout, "verify degree ...");
cfec1a
    if (EC_GROUP_get_degree(group) != 521)
cfec1a
        ABORT;
cfec1a
    fprintf(stdout, " ok\n");
cfec1a
cfec1a
    group_order_tests(group);
cfec1a
cfec1a
    if (!(P_521 = EC_GROUP_new(EC_GROUP_method_of(group))))
cfec1a
        ABORT;
cfec1a
    if (!EC_GROUP_copy(P_521, group))
cfec1a
        ABORT;
cfec1a
cfec1a
    /* more tests using the last curve */
cfec1a
cfec1a
    if (!EC_POINT_copy(Q, P))
cfec1a
        ABORT;
cfec1a
    if (EC_POINT_is_at_infinity(group, Q))
cfec1a
        ABORT;
cfec1a
    if (!EC_POINT_dbl(group, P, P, ctx))
cfec1a
        ABORT;
cfec1a
    if (EC_POINT_is_on_curve(group, P, ctx) <= 0)
cfec1a
        ABORT;
cfec1a
    if (!EC_POINT_invert(group, Q, ctx))
cfec1a
        ABORT;                  /* P = -2Q */
cfec1a
cfec1a
    if (!EC_POINT_add(group, R, P, Q, ctx))
cfec1a
        ABORT;
cfec1a
    if (!EC_POINT_add(group, R, R, Q, ctx))
cfec1a
        ABORT;
cfec1a
    if (!EC_POINT_is_at_infinity(group, R))
cfec1a
        ABORT;                  /* R = P + 2Q */
cfec1a
cfec1a
    {
cfec1a
        const EC_POINT *points[4];
cfec1a
        const BIGNUM *scalars[4];
cfec1a
        BIGNUM scalar3;
cfec1a
cfec1a
        if (EC_POINT_is_at_infinity(group, Q))
cfec1a
            ABORT;
cfec1a
        points[0] = Q;
cfec1a
        points[1] = Q;
cfec1a
        points[2] = Q;
cfec1a
        points[3] = Q;
cfec1a
cfec1a
        if (!EC_GROUP_get_order(group, z, ctx))
cfec1a
            ABORT;
cfec1a
        if (!BN_add(y, z, BN_value_one()))
cfec1a
            ABORT;
cfec1a
        if (BN_is_odd(y))
cfec1a
            ABORT;
cfec1a
        if (!BN_rshift1(y, y))
cfec1a
            ABORT;
cfec1a
        scalars[0] = y;         /* (group order + 1)/2, so y*Q + y*Q = Q */
cfec1a
        scalars[1] = y;
cfec1a
cfec1a
        fprintf(stdout, "combined multiplication ...");
cfec1a
        fflush(stdout);
cfec1a
cfec1a
        /* z is still the group order */
cfec1a
        if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
cfec1a
            ABORT;
cfec1a
        if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx))
cfec1a
            ABORT;
cfec1a
        if (0 != EC_POINT_cmp(group, P, R, ctx))
cfec1a
            ABORT;
cfec1a
        if (0 != EC_POINT_cmp(group, R, Q, ctx))
cfec1a
            ABORT;
cfec1a
cfec1a
        fprintf(stdout, ".");
cfec1a
        fflush(stdout);
cfec1a
cfec1a
        if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0))
cfec1a
            ABORT;
cfec1a
        if (!BN_add(z, z, y))
cfec1a
            ABORT;
cfec1a
        BN_set_negative(z, 1);
cfec1a
        scalars[0] = y;
cfec1a
        scalars[1] = z;         /* z = -(order + y) */
cfec1a
cfec1a
        if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
cfec1a
            ABORT;
cfec1a
        if (!EC_POINT_is_at_infinity(group, P))
cfec1a
            ABORT;
cfec1a
cfec1a
        fprintf(stdout, ".");
cfec1a
        fflush(stdout);
cfec1a
cfec1a
        if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0))
cfec1a
            ABORT;
cfec1a
        if (!BN_add(z, x, y))
cfec1a
            ABORT;
cfec1a
        BN_set_negative(z, 1);
cfec1a
        scalars[0] = x;
cfec1a
        scalars[1] = y;
cfec1a
        scalars[2] = z;         /* z = -(x+y) */
cfec1a
cfec1a
        BN_init(&scalar3);
cfec1a
        BN_zero(&scalar3);
cfec1a
        scalars[3] = &scalar3;
cfec1a
cfec1a
        if (!EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx))
cfec1a
            ABORT;
cfec1a
        if (!EC_POINT_is_at_infinity(group, P))
cfec1a
            ABORT;
cfec1a
cfec1a
        fprintf(stdout, " ok\n\n");
cfec1a
cfec1a
        BN_free(&scalar3);
cfec1a
    }
cfec1a
cfec1a
# if 0
cfec1a
    timings(P_256, TIMING_BASE_PT, ctx);
cfec1a
    timings(P_256, TIMING_RAND_PT, ctx);
cfec1a
    timings(P_256, TIMING_SIMUL, ctx);
cfec1a
    timings(P_384, TIMING_BASE_PT, ctx);
cfec1a
    timings(P_384, TIMING_RAND_PT, ctx);
cfec1a
    timings(P_384, TIMING_SIMUL, ctx);
cfec1a
    timings(P_521, TIMING_BASE_PT, ctx);
cfec1a
    timings(P_521, TIMING_RAND_PT, ctx);
cfec1a
    timings(P_521, TIMING_SIMUL, ctx);
cfec1a
# endif
cfec1a
cfec1a
    if (ctx)
cfec1a
        BN_CTX_free(ctx);
cfec1a
    BN_free(p);
cfec1a
    BN_free(a);
cfec1a
    BN_free(b);
cfec1a
    EC_GROUP_free(group);
cfec1a
    EC_POINT_free(P);
cfec1a
    EC_POINT_free(Q);
cfec1a
    EC_POINT_free(R);
cfec1a
    BN_free(x);
cfec1a
    BN_free(y);
cfec1a
    BN_free(z);
cfec1a
cfec1a
    if (P_160)
cfec1a
        EC_GROUP_free(P_160);
cfec1a
    if (P_192)
cfec1a
        EC_GROUP_free(P_192);
cfec1a
    if (P_224)
cfec1a
        EC_GROUP_free(P_224);
cfec1a
    if (P_256)
cfec1a
        EC_GROUP_free(P_256);
cfec1a
    if (P_384)
cfec1a
        EC_GROUP_free(P_384);
cfec1a
    if (P_521)
cfec1a
        EC_GROUP_free(P_521);
cfec1a
cfec1a
}
a5ef24
a5ef24
a5ef24
static void internal_curve_test(void)
cfec1a
{
cfec1a
    EC_builtin_curve *curves = NULL;
cfec1a
    size_t crv_len = 0, n = 0;
cfec1a
    int ok = 1;
cfec1a
cfec1a
    crv_len = EC_get_builtin_curves(NULL, 0);
cfec1a
cfec1a
    curves = OPENSSL_malloc(sizeof(EC_builtin_curve) * crv_len);
cfec1a
cfec1a
    if (curves == NULL)
cfec1a
        return;
cfec1a
cfec1a
    if (!EC_get_builtin_curves(curves, crv_len)) {
cfec1a
        OPENSSL_free(curves);
cfec1a
        return;
cfec1a
    }
cfec1a
cfec1a
    fprintf(stdout, "testing internal curves: ");
cfec1a
cfec1a
    for (n = 0; n < crv_len; n++) {
cfec1a
        EC_GROUP *group = NULL;
cfec1a
        int nid = curves[n].nid;
cfec1a
        if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL) {
cfec1a
            ok = 0;
cfec1a
            fprintf(stdout, "\nEC_GROUP_new_curve_name() failed with"
cfec1a
                    " curve %s\n", OBJ_nid2sn(nid));
cfec1a
            /* try next curve */
cfec1a
            continue;
cfec1a
        }
cfec1a
        if (!EC_GROUP_check(group, NULL)) {
cfec1a
            ok = 0;
cfec1a
            fprintf(stdout, "\nEC_GROUP_check() failed with"
cfec1a
                    " curve %s\n", OBJ_nid2sn(nid));
cfec1a
            EC_GROUP_free(group);
cfec1a
            /* try the next curve */
cfec1a
            continue;
cfec1a
        }
cfec1a
        fprintf(stdout, ".");
cfec1a
        fflush(stdout);
cfec1a
        EC_GROUP_free(group);
cfec1a
    }
cfec1a
    if (ok)
cfec1a
        fprintf(stdout, " ok\n\n");
cfec1a
    else {
cfec1a
        fprintf(stdout, " failed\n\n");
cfec1a
        ABORT;
cfec1a
    }
cfec1a
    OPENSSL_free(curves);
cfec1a
    return;
cfec1a
}
cfec1a
cfec1a
# ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
cfec1a
/*
cfec1a
 * nistp_test_params contains magic numbers for testing our optimized
cfec1a
 * implementations of several NIST curves with characteristic > 3.
cfec1a
 */
cfec1a
struct nistp_test_params {
cfec1a
    const EC_METHOD *(*meth) ();
cfec1a
    int degree;
cfec1a
    /*
cfec1a
     * Qx, Qy and D are taken from
cfec1a
     * http://csrc.nist.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf
cfec1a
     * Otherwise, values are standard curve parameters from FIPS 180-3
cfec1a
     */
cfec1a
    const char *p, *a, *b, *Qx, *Qy, *Gx, *Gy, *order, *d;
cfec1a
};
cfec1a
cfec1a
static const struct nistp_test_params nistp_tests_params[] = {
cfec1a
    {
cfec1a
     /* P-256 */
cfec1a
     EC_GFp_nistp256_method,
cfec1a
     256,
cfec1a
     /* p */
cfec1a
     "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff",
cfec1a
     /* a */
cfec1a
     "ffffffff00000001000000000000000000000000fffffffffffffffffffffffc",
cfec1a
     /* b */
cfec1a
     "5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b",
cfec1a
     /* Qx */
cfec1a
     "b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19",
cfec1a
     /* Qy */
cfec1a
     "3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09",
cfec1a
     /* Gx */
cfec1a
     "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296",
cfec1a
     /* Gy */
cfec1a
     "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5",
cfec1a
     /* order */
cfec1a
     "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551",
cfec1a
     /* d */
cfec1a
     "c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96",
cfec1a
     },
cfec1a
    {
cfec1a
     /* P-521 */
cfec1a
     EC_GFp_nistp521_method,
cfec1a
     521,
cfec1a
     /* p */
cfec1a
     "1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
cfec1a
     /* a */
cfec1a
     "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc",
cfec1a
     /* b */
cfec1a
     "051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00",
cfec1a
     /* Qx */
cfec1a
     "0098e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4",
cfec1a
     /* Qy */
cfec1a
     "0164350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e",
cfec1a
     /* Gx */
cfec1a
     "c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66",
cfec1a
     /* Gy */
cfec1a
     "11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650",
cfec1a
     /* order */
cfec1a
     "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409",
cfec1a
     /* d */
cfec1a
     "0100085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eeedf09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722",
cfec1a
     },
cfec1a
};
cfec1a
cfec1a
static void nistp_single_test(const struct nistp_test_params *test)
cfec1a
{
cfec1a
    BN_CTX *ctx;
cfec1a
    BIGNUM *p, *a, *b, *x, *y, *n, *m, *order;
cfec1a
    EC_GROUP *NISTP;
cfec1a
    EC_POINT *G, *P, *Q, *Q_CHECK;
cfec1a
cfec1a
    fprintf(stdout, "\nNIST curve P-%d (optimised implementation):\n",
cfec1a
            test->degree);
cfec1a
    ctx = BN_CTX_new();
cfec1a
    p = BN_new();
cfec1a
    a = BN_new();
cfec1a
    b = BN_new();
cfec1a
    x = BN_new();
cfec1a
    y = BN_new();
cfec1a
    m = BN_new();
cfec1a
    n = BN_new();
cfec1a
    order = BN_new();
cfec1a
cfec1a
    NISTP = EC_GROUP_new(test->meth());
cfec1a
    if (!NISTP)
cfec1a
        ABORT;
cfec1a
    if (!BN_hex2bn(&p, test->p))
cfec1a
        ABORT;
cfec1a
    if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
cfec1a
        ABORT;
cfec1a
    if (!BN_hex2bn(&a, test->a))
cfec1a
        ABORT;
cfec1a
    if (!BN_hex2bn(&b, test->b))
cfec1a
        ABORT;
cfec1a
    if (!EC_GROUP_set_curve_GFp(NISTP, p, a, b, ctx))
cfec1a
        ABORT;
cfec1a
    G = EC_POINT_new(NISTP);
cfec1a
    P = EC_POINT_new(NISTP);
cfec1a
    Q = EC_POINT_new(NISTP);
cfec1a
    Q_CHECK = EC_POINT_new(NISTP);
cfec1a
    if (!BN_hex2bn(&x, test->Qx))
cfec1a
        ABORT;
cfec1a
    if (!BN_hex2bn(&y, test->Qy))
cfec1a
        ABORT;
cfec1a
    if (!EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, y, ctx))
cfec1a
        ABORT;
cfec1a
    if (!BN_hex2bn(&x, test->Gx))
cfec1a
        ABORT;
cfec1a
    if (!BN_hex2bn(&y, test->Gy))
cfec1a
        ABORT;
cfec1a
    if (!EC_POINT_set_affine_coordinates_GFp(NISTP, G, x, y, ctx))
cfec1a
        ABORT;
cfec1a
    if (!BN_hex2bn(&order, test->order))
cfec1a
        ABORT;
cfec1a
    if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one()))
cfec1a
        ABORT;
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    fprintf(stdout, "verify degree ... ");
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    if (EC_GROUP_get_degree(NISTP) != test->degree)
cfec1a
        ABORT;
cfec1a
    fprintf(stdout, "ok\n");
cfec1a
cfec1a
    fprintf(stdout, "NIST test vectors ... ");
cfec1a
    if (!BN_hex2bn(&n, test->d))
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        ABORT;
cfec1a
    /* fixed point multiplication */
cfec1a
    EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
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    if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
cfec1a
        ABORT;
cfec1a
    /* random point multiplication */
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    EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
cfec1a
    if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
cfec1a
        ABORT;
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    /* set generator to P = 2*G, where G is the standard generator */
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    if (!EC_POINT_dbl(NISTP, P, G, ctx))
cfec1a
        ABORT;
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    if (!EC_GROUP_set_generator(NISTP, P, order, BN_value_one()))
cfec1a
        ABORT;
cfec1a
    /* set the scalar to m=n/2, where n is the NIST test scalar */
cfec1a
    if (!BN_rshift(m, n, 1))
cfec1a
        ABORT;
cfec1a
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    /* test the non-standard generator */
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    /* fixed point multiplication */
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    EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
cfec1a
    if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
cfec1a
        ABORT;
cfec1a
    /* random point multiplication */
cfec1a
    EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
cfec1a
    if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
cfec1a
        ABORT;
cfec1a
cfec1a
    /*
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     * We have not performed precomputation so have_precompute mult should be
cfec1a
     * false
cfec1a
     */
cfec1a
    if (EC_GROUP_have_precompute_mult(NISTP))
cfec1a
        ABORT;
cfec1a
cfec1a
    /* now repeat all tests with precomputation */
cfec1a
    if (!EC_GROUP_precompute_mult(NISTP, ctx))
cfec1a
        ABORT;
cfec1a
    if (!EC_GROUP_have_precompute_mult(NISTP))
cfec1a
        ABORT;
cfec1a
cfec1a
    /* fixed point multiplication */
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    EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
cfec1a
    if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
cfec1a
        ABORT;
cfec1a
    /* random point multiplication */
cfec1a
    EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
cfec1a
    if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
cfec1a
        ABORT;
cfec1a
cfec1a
    /* reset generator */
cfec1a
    if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one()))
cfec1a
        ABORT;
cfec1a
    /* fixed point multiplication */
cfec1a
    EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
cfec1a
    if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
cfec1a
        ABORT;
cfec1a
    /* random point multiplication */
cfec1a
    EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
cfec1a
    if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
cfec1a
        ABORT;
cfec1a
cfec1a
    fprintf(stdout, "ok\n");
cfec1a
    group_order_tests(NISTP);
cfec1a
#  if 0
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    timings(NISTP, TIMING_BASE_PT, ctx);
cfec1a
    timings(NISTP, TIMING_RAND_PT, ctx);
cfec1a
#  endif
cfec1a
    EC_GROUP_free(NISTP);
cfec1a
    EC_POINT_free(G);
cfec1a
    EC_POINT_free(P);
cfec1a
    EC_POINT_free(Q);
cfec1a
    EC_POINT_free(Q_CHECK);
cfec1a
    BN_free(n);
cfec1a
    BN_free(m);
cfec1a
    BN_free(p);
cfec1a
    BN_free(a);
cfec1a
    BN_free(b);
cfec1a
    BN_free(x);
cfec1a
    BN_free(y);
cfec1a
    BN_free(order);
cfec1a
    BN_CTX_free(ctx);
cfec1a
}
cfec1a
cfec1a
static void nistp_tests()
cfec1a
{
cfec1a
    unsigned i;
cfec1a
cfec1a
    for (i = 0;
cfec1a
         i < sizeof(nistp_tests_params) / sizeof(struct nistp_test_params);
cfec1a
         i++) {
cfec1a
        nistp_single_test(&nistp_tests_params[i]);
cfec1a
    }
cfec1a
}
cfec1a
# endif
cfec1a
cfec1a
static const char rnd_seed[] =
cfec1a
    "string to make the random number generator think it has entropy";
a5ef24
a5ef24
int main(int argc, char *argv[])
cfec1a
{
cfec1a
cfec1a
    /* enable memory leak checking unless explicitly disabled */
cfec1a
    if (!((getenv("OPENSSL_DEBUG_MEMORY") != NULL)
cfec1a
          && (0 == strcmp(getenv("OPENSSL_DEBUG_MEMORY"), "off")))) {
cfec1a
        CRYPTO_malloc_debug_init();
cfec1a
        CRYPTO_set_mem_debug_options(V_CRYPTO_MDEBUG_ALL);
cfec1a
    } else {
cfec1a
        /* OPENSSL_DEBUG_MEMORY=off */
cfec1a
        CRYPTO_set_mem_debug_functions(0, 0, 0, 0, 0);
cfec1a
    }
cfec1a
    CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON);
cfec1a
    ERR_load_crypto_strings();
cfec1a
cfec1a
    RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */
cfec1a
cfec1a
    prime_field_tests();
cfec1a
    puts("");
cfec1a
# ifndef OPENSSL_NO_EC2M
cfec1a
    char2_field_tests();
cfec1a
# endif
cfec1a
# ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
cfec1a
    nistp_tests();
cfec1a
# endif
cfec1a
    /* test the internal curves */
cfec1a
    internal_curve_test();
cfec1a
cfec1a
# ifndef OPENSSL_NO_ENGINE
cfec1a
    ENGINE_cleanup();
cfec1a
# endif
cfec1a
    CRYPTO_cleanup_all_ex_data();
cfec1a
    ERR_free_strings();
cfec1a
    ERR_remove_thread_state(NULL);
cfec1a
    CRYPTO_mem_leaks_fp(stderr);
cfec1a
cfec1a
    return 0;
cfec1a
}
a5ef24
#endif