c85573ccd8
See upstream's a0eed48d37a4b7beea0c966caf09ad46f4a92a44. Rather than import that, we should just ensure neg + zero isn't a possible state. Add some tests for asc2bn and dec2bn while we're here. Also fix a bug with dec2bn where it doesn't actually ignore trailing data as it's supposed to. Change-Id: I2385b67b740e57020c75a247bee254085ab7ce15 Reviewed-on: https://boringssl-review.googlesource.com/4484 Reviewed-by: Adam Langley <agl@google.com>
1574 lines
42 KiB
C++
1574 lines
42 KiB
C++
/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
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* All rights reserved.
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*
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* This package is an SSL implementation written
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* by Eric Young (eay@cryptsoft.com).
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* The implementation was written so as to conform with Netscapes SSL.
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*
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* This library is free for commercial and non-commercial use as long as
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* the following conditions are aheared to. The following conditions
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* apply to all code found in this distribution, be it the RC4, RSA,
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* lhash, DES, etc., code; not just the SSL code. The SSL documentation
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* included with this distribution is covered by the same copyright terms
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* except that the holder is Tim Hudson (tjh@cryptsoft.com).
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*
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* Copyright remains Eric Young's, and as such any Copyright notices in
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* the code are not to be removed.
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* If this package is used in a product, Eric Young should be given attribution
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* as the author of the parts of the library used.
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* This can be in the form of a textual message at program startup or
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* in documentation (online or textual) provided with the package.
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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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* 1. Redistributions of source code must retain the copyright
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* notice, this list of conditions and the following disclaimer.
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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 the
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* documentation and/or other materials provided with the distribution.
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* 3. All advertising materials mentioning features or use of this software
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* must display the following acknowledgement:
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* "This product includes cryptographic software written by
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* Eric Young (eay@cryptsoft.com)"
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* The word 'cryptographic' can be left out if the rouines from the library
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* being used are not cryptographic related :-).
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* 4. If you include any Windows specific code (or a derivative thereof) from
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* the apps directory (application code) you must include an acknowledgement:
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* "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
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*
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* THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
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* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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* ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
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* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
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* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
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* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
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* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
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* SUCH DAMAGE.
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*
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* The licence and distribution terms for any publically available version or
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* derivative of this code cannot be changed. i.e. this code cannot simply be
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* copied and put under another distribution licence
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* [including the GNU Public Licence.]
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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 Eric Young open source
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* license provided above.
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*
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* The binary polynomial arithmetic software is originally written by
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* Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems
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* Laboratories. */
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#include <stdio.h>
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#include <string.h>
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#include <openssl/bn.h>
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#include <openssl/crypto.h>
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#include <openssl/err.h>
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#include <openssl/mem.h>
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#include "../crypto/test/scoped_types.h"
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#include "internal.h"
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static const int num0 = 100; // number of tests
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static const int num1 = 50; // additional tests for some functions
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static const int num2 = 5; // number of tests for slow functions
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static bool test_add(FILE *fp);
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static bool test_sub(FILE *fp);
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static bool test_lshift1(FILE *fp);
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static bool test_lshift(FILE *fp, BN_CTX *ctx, ScopedBIGNUM a);
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static bool test_rshift1(FILE *fp);
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static bool test_rshift(FILE *fp, BN_CTX *ctx);
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static bool test_sqr(FILE *fp, BN_CTX *ctx);
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static bool test_mul(FILE *fp);
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static bool test_div(FILE *fp, BN_CTX *ctx);
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static int rand_neg();
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static bool test_div_word(FILE *fp);
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static bool test_mont(FILE *fp, BN_CTX *ctx);
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static bool test_mod(FILE *fp, BN_CTX *ctx);
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static bool test_mod_mul(FILE *fp, BN_CTX *ctx);
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static bool test_mod_exp(FILE *fp, BN_CTX *ctx);
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static bool test_mod_exp_mont_consttime(FILE *fp, BN_CTX *ctx);
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static bool test_exp(FILE *fp, BN_CTX *ctx);
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static bool test_mod_sqrt(FILE *fp, BN_CTX *ctx);
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static bool test_exp_mod_zero(void);
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static bool test_small_prime(FILE *fp, BN_CTX *ctx);
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static bool test_mod_exp_mont5(FILE *fp, BN_CTX *ctx);
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static bool test_sqrt(FILE *fp, BN_CTX *ctx);
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static bool test_bn2bin_padded(FILE *fp, BN_CTX *ctx);
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static bool test_dec2bn(FILE *fp, BN_CTX *ctx);
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static bool test_hex2bn(FILE *fp, BN_CTX *ctx);
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static bool test_asc2bn(FILE *fp, BN_CTX *ctx);
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// g_results can be set to true to cause the result of each computation to be
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// printed.
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static bool g_results = false;
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static const uint8_t kSample[] =
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"\xC6\x4F\x43\x04\x2A\xEA\xCA\x6E\x58\x36\x80\x5B\xE8\xC9"
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"\x9B\x04\x5D\x48\x36\xC2\xFD\x16\xC9\x64\xF0";
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// A wrapper around puts that takes its arguments in the same order as our *_fp
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// functions.
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static void puts_fp(FILE *out, const char *m) {
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fputs(m, out);
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}
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static void message(FILE *out, const char *m) {
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puts_fp(out, "print \"test ");
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puts_fp(out, m);
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puts_fp(out, "\\n\"\n");
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}
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int main(int argc, char *argv[]) {
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CRYPTO_library_init();
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argc--;
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argv++;
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while (argc >= 1) {
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if (strcmp(*argv, "-results") == 0) {
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g_results = true;
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}
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argc--;
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argv++;
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}
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ScopedBN_CTX ctx(BN_CTX_new());
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if (!ctx) {
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return 1;
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}
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if (!g_results) {
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puts_fp(stdout, "obase=16\nibase=16\n");
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}
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message(stdout, "BN_add");
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if (!test_add(stdout)) {
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return 1;
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}
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fflush(stdout);
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message(stdout, "BN_sub");
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if (!test_sub(stdout)) {
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return 1;
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}
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fflush(stdout);
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message(stdout, "BN_lshift1");
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if (!test_lshift1(stdout)) {
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return 1;
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}
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fflush(stdout);
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message(stdout, "BN_lshift (fixed)");
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ScopedBIGNUM sample(BN_bin2bn(kSample, sizeof(kSample) - 1, NULL));
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if (!sample) {
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return 1;
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}
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if (!test_lshift(stdout, ctx.get(), bssl::move(sample))) {
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return 1;
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}
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fflush(stdout);
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message(stdout, "BN_lshift");
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if (!test_lshift(stdout, ctx.get(), nullptr)) {
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return 1;
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}
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fflush(stdout);
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message(stdout, "BN_rshift1");
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if (!test_rshift1(stdout)) {
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return 1;
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}
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fflush(stdout);
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message(stdout, "BN_rshift");
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if (!test_rshift(stdout, ctx.get())) {
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return 1;
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}
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fflush(stdout);
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message(stdout, "BN_sqr");
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if (!test_sqr(stdout, ctx.get())) {
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return 1;
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}
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fflush(stdout);
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message(stdout, "BN_mul");
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if (!test_mul(stdout)) {
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return 1;
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}
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fflush(stdout);
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message(stdout, "BN_div");
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if (!test_div(stdout, ctx.get())) {
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return 1;
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}
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fflush(stdout);
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message(stdout, "BN_div_word");
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if (!test_div_word(stdout)) {
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return 1;
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}
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fflush(stdout);
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message(stdout, "BN_mod");
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if (!test_mod(stdout, ctx.get())) {
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return 1;
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}
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fflush(stdout);
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message(stdout, "BN_mod_mul");
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if (!test_mod_mul(stdout, ctx.get())) {
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return 1;
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}
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fflush(stdout);
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message(stdout, "BN_mont");
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if (!test_mont(stdout, ctx.get())) {
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return 1;
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}
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fflush(stdout);
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message(stdout, "BN_mod_exp");
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if (!test_mod_exp(stdout, ctx.get())) {
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return 1;
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}
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fflush(stdout);
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message(stdout, "BN_mod_exp_mont_consttime");
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if (!test_mod_exp_mont_consttime(stdout, ctx.get()) ||
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!test_mod_exp_mont5(stdout, ctx.get())) {
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return 1;
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}
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fflush(stdout);
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message(stdout, "BN_exp");
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if (!test_exp(stdout, ctx.get()) ||
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!test_exp_mod_zero()) {
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return 1;
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}
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fflush(stdout);
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message(stdout, "BN_mod_sqrt");
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if (!test_mod_sqrt(stdout, ctx.get())) {
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return 1;
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}
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fflush(stdout);
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message(stdout, "Small prime generation");
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if (!test_small_prime(stdout, ctx.get())) {
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return 1;
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}
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fflush(stdout);
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message(stdout, "BN_sqrt");
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if (!test_sqrt(stdout, ctx.get())) {
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return 1;
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}
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fflush(stdout);
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message(stdout, "BN_bn2bin_padded");
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if (!test_bn2bin_padded(stdout, ctx.get())) {
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return 1;
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}
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fflush(stdout);
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message(stdout, "BN_dec2bn");
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if (!test_dec2bn(stdout, ctx.get())) {
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return 1;
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}
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fflush(stdout);
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message(stdout, "BN_hex2bn");
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if (!test_hex2bn(stdout, ctx.get())) {
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return 1;
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}
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fflush(stdout);
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message(stdout, "BN_asc2bn");
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if (!test_asc2bn(stdout, ctx.get())) {
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return 1;
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}
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fflush(stdout);
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printf("PASS\n");
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return 0;
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}
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static bool test_add(FILE *fp) {
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ScopedBIGNUM a(BN_new());
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ScopedBIGNUM b(BN_new());
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ScopedBIGNUM c(BN_new());
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if (!a || !b || !c || !BN_rand(a.get(), 512, 0, 0)) {
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return false;
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}
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for (int i = 0; i < num0; i++) {
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if (!BN_rand(b.get(), 450 + i, 0, 0)) {
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return false;
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}
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a->neg = rand_neg();
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b->neg = rand_neg();
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if (!BN_add(c.get(), a.get(), b.get())) {
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return false;
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}
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if (fp != NULL) {
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if (!g_results) {
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BN_print_fp(fp, a.get());
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puts_fp(fp, " + ");
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BN_print_fp(fp, b.get());
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puts_fp(fp, " - ");
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}
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BN_print_fp(fp, c.get());
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puts_fp(fp, "\n");
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}
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a->neg = !a->neg;
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b->neg = !b->neg;
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if (!BN_add(c.get(), c.get(), b.get()) ||
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!BN_add(c.get(), c.get(), a.get())) {
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return false;
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}
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if (!BN_is_zero(c.get())) {
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fprintf(stderr, "Add test failed!\n");
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return false;
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}
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}
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return true;
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}
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static bool test_sub(FILE *fp) {
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ScopedBIGNUM a(BN_new());
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ScopedBIGNUM b(BN_new());
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ScopedBIGNUM c(BN_new());
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if (!a || !b || !c) {
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return false;
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}
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for (int i = 0; i < num0 + num1; i++) {
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if (i < num1) {
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if (!BN_rand(a.get(), 512, 0, 0) ||
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!BN_copy(b.get(), a.get()) ||
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!BN_set_bit(a.get(), i) ||
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!BN_add_word(b.get(), i)) {
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return false;
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}
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} else {
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if (!BN_rand(b.get(), 400 + i - num1, 0, 0)) {
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return false;
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}
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a->neg = rand_neg();
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b->neg = rand_neg();
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}
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if (!BN_sub(c.get(), a.get(), b.get())) {
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return false;
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}
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if (fp != NULL) {
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if (!g_results) {
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BN_print_fp(fp, a.get());
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puts_fp(fp, " - ");
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BN_print_fp(fp, b.get());
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puts_fp(fp, " - ");
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}
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BN_print_fp(fp, c.get());
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puts_fp(fp, "\n");
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}
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if (!BN_add(c.get(), c.get(), b.get()) ||
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!BN_sub(c.get(), c.get(), a.get())) {
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return false;
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}
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if (!BN_is_zero(c.get())) {
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fprintf(stderr, "Subtract test failed!\n");
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return false;
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}
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}
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return true;
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}
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static bool test_div(FILE *fp, BN_CTX *ctx) {
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ScopedBIGNUM a(BN_new());
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ScopedBIGNUM b(BN_new());
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ScopedBIGNUM c(BN_new());
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ScopedBIGNUM d(BN_new());
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ScopedBIGNUM e(BN_new());
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if (!a || !b || !c || !d || !e) {
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return false;
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}
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for (int i = 0; i < num0 + num1; i++) {
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if (i < num1) {
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if (!BN_rand(a.get(), 400, 0, 0) ||
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!BN_copy(b.get(), a.get()) ||
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!BN_lshift(a.get(), a.get(), i) ||
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!BN_add_word(a.get(), i)) {
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return false;
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}
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} else if (!BN_rand(b.get(), 50 + 3 * (i - num1), 0, 0)) {
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return false;
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}
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a->neg = rand_neg();
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b->neg = rand_neg();
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if (!BN_div(d.get(), c.get(), a.get(), b.get(), ctx)) {
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return false;
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}
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if (fp != NULL) {
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if (!g_results) {
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BN_print_fp(fp, a.get());
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puts_fp(fp, " / ");
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BN_print_fp(fp, b.get());
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puts_fp(fp, " - ");
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}
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BN_print_fp(fp, d.get());
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puts_fp(fp, "\n");
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if (!g_results) {
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BN_print_fp(fp, a.get());
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puts_fp(fp, " % ");
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BN_print_fp(fp, b.get());
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puts_fp(fp, " - ");
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}
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BN_print_fp(fp, c.get());
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puts_fp(fp, "\n");
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}
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if (!BN_mul(e.get(), d.get(), b.get(), ctx) ||
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!BN_add(d.get(), e.get(), c.get()) ||
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!BN_sub(d.get(), d.get(), a.get())) {
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return false;
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}
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if (!BN_is_zero(d.get())) {
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fprintf(stderr, "Division test failed!\n");
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return false;
|
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}
|
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}
|
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return true;
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}
|
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|
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static bool test_lshift1(FILE *fp) {
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ScopedBIGNUM a(BN_new());
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ScopedBIGNUM b(BN_new());
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ScopedBIGNUM c(BN_new());
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if (!a || !b || !c || !BN_rand(a.get(), 200, 0, 0)) {
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return false;
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}
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a->neg = rand_neg();
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for (int i = 0; i < num0; i++) {
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if (!BN_lshift1(b.get(), a.get())) {
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return false;
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}
|
|
if (fp != NULL) {
|
|
if (!g_results) {
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BN_print_fp(fp, a.get());
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puts_fp(fp, " * 2");
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puts_fp(fp, " - ");
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}
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BN_print_fp(fp, b.get());
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puts_fp(fp, "\n");
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}
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if (!BN_add(c.get(), a.get(), a.get()) ||
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!BN_sub(a.get(), b.get(), c.get())) {
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return false;
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}
|
|
if (!BN_is_zero(a.get())) {
|
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fprintf(stderr, "Left shift one test failed!\n");
|
|
return false;
|
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}
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|
|
if (!BN_copy(a.get(), b.get())) {
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return false;
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}
|
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}
|
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return true;
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}
|
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|
|
static bool test_rshift(FILE *fp, BN_CTX *ctx) {
|
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ScopedBIGNUM a(BN_new());
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ScopedBIGNUM b(BN_new());
|
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ScopedBIGNUM c(BN_new());
|
|
ScopedBIGNUM d(BN_new());
|
|
ScopedBIGNUM e(BN_new());
|
|
if (!a || !b || !c || !d || !e || !BN_one(c.get()) ||
|
|
!BN_rand(a.get(), 200, 0, 0)) {
|
|
return false;
|
|
}
|
|
a->neg = rand_neg();
|
|
for (int i = 0; i < num0; i++) {
|
|
if (!BN_rshift(b.get(), a.get(), i + 1) ||
|
|
!BN_add(c.get(), c.get(), c.get())) {
|
|
return false;
|
|
}
|
|
if (fp != NULL) {
|
|
if (!g_results) {
|
|
BN_print_fp(fp, a.get());
|
|
puts_fp(fp, " / ");
|
|
BN_print_fp(fp, c.get());
|
|
puts_fp(fp, " - ");
|
|
}
|
|
BN_print_fp(fp, b.get());
|
|
puts_fp(fp, "\n");
|
|
}
|
|
if (!BN_div(d.get(), e.get(), a.get(), c.get(), ctx) ||
|
|
!BN_sub(d.get(), d.get(), b.get())) {
|
|
return false;
|
|
}
|
|
if (!BN_is_zero(d.get())) {
|
|
fprintf(stderr, "Right shift test failed!\n");
|
|
return false;
|
|
}
|
|
}
|
|
return true;
|
|
}
|
|
|
|
static bool test_rshift1(FILE *fp) {
|
|
ScopedBIGNUM a(BN_new());
|
|
ScopedBIGNUM b(BN_new());
|
|
ScopedBIGNUM c(BN_new());
|
|
if (!a || !b || !c || !BN_rand(a.get(), 200, 0, 0)) {
|
|
return false;
|
|
}
|
|
a->neg = rand_neg();
|
|
|
|
for (int i = 0; i < num0; i++) {
|
|
if (!BN_rshift1(b.get(), a.get())) {
|
|
return false;
|
|
}
|
|
if (fp != NULL) {
|
|
if (!g_results) {
|
|
BN_print_fp(fp, a.get());
|
|
puts_fp(fp, " / 2");
|
|
puts_fp(fp, " - ");
|
|
}
|
|
BN_print_fp(fp, b.get());
|
|
puts_fp(fp, "\n");
|
|
}
|
|
if (!BN_sub(c.get(), a.get(), b.get()) ||
|
|
!BN_sub(c.get(), c.get(), b.get())) {
|
|
return false;
|
|
}
|
|
if (!BN_is_zero(c.get()) && !BN_abs_is_word(c.get(), 1)) {
|
|
fprintf(stderr, "Right shift one test failed!\n");
|
|
return false;
|
|
}
|
|
if (!BN_copy(a.get(), b.get())) {
|
|
return false;
|
|
}
|
|
}
|
|
return true;
|
|
}
|
|
|
|
static bool test_lshift(FILE *fp, BN_CTX *ctx, ScopedBIGNUM a) {
|
|
if (!a) {
|
|
a.reset(BN_new());
|
|
if (!a || !BN_rand(a.get(), 200, 0, 0)) {
|
|
return false;
|
|
}
|
|
a->neg = rand_neg();
|
|
}
|
|
|
|
ScopedBIGNUM b(BN_new());
|
|
ScopedBIGNUM c(BN_new());
|
|
ScopedBIGNUM d(BN_new());
|
|
if (!b || !c || !d || !BN_one(c.get())) {
|
|
return false;
|
|
}
|
|
|
|
for (int i = 0; i < num0; i++) {
|
|
if (!BN_lshift(b.get(), a.get(), i + 1) ||
|
|
!BN_add(c.get(), c.get(), c.get())) {
|
|
return false;
|
|
}
|
|
if (fp != NULL) {
|
|
if (!g_results) {
|
|
BN_print_fp(fp, a.get());
|
|
puts_fp(fp, " * ");
|
|
BN_print_fp(fp, c.get());
|
|
puts_fp(fp, " - ");
|
|
}
|
|
BN_print_fp(fp, b.get());
|
|
puts_fp(fp, "\n");
|
|
}
|
|
if (!BN_mul(d.get(), a.get(), c.get(), ctx) ||
|
|
!BN_sub(d.get(), d.get(), b.get())) {
|
|
return false;
|
|
}
|
|
if (!BN_is_zero(d.get())) {
|
|
fprintf(stderr, "Left shift test failed!\n");
|
|
fprintf(stderr, "a=");
|
|
BN_print_fp(stderr, a.get());
|
|
fprintf(stderr, "\nb=");
|
|
BN_print_fp(stderr, b.get());
|
|
fprintf(stderr, "\nc=");
|
|
BN_print_fp(stderr, c.get());
|
|
fprintf(stderr, "\nd=");
|
|
BN_print_fp(stderr, d.get());
|
|
fprintf(stderr, "\n");
|
|
return false;
|
|
}
|
|
}
|
|
return true;
|
|
}
|
|
|
|
static bool test_mul(FILE *fp) {
|
|
ScopedBN_CTX ctx(BN_CTX_new());
|
|
ScopedBIGNUM a(BN_new());
|
|
ScopedBIGNUM b(BN_new());
|
|
ScopedBIGNUM c(BN_new());
|
|
ScopedBIGNUM d(BN_new());
|
|
ScopedBIGNUM e(BN_new());
|
|
if (!ctx || !a || !b || !c || !d || !e) {
|
|
return false;
|
|
}
|
|
|
|
for (int i = 0; i < num0 + num1; i++) {
|
|
if (i <= num1) {
|
|
if (!BN_rand(a.get(), 100, 0, 0) ||
|
|
!BN_rand(b.get(), 100, 0, 0)) {
|
|
return false;
|
|
}
|
|
} else if (!BN_rand(b.get(), i - num1, 0, 0)) {
|
|
return false;
|
|
}
|
|
a->neg = rand_neg();
|
|
b->neg = rand_neg();
|
|
if (!BN_mul(c.get(), a.get(), b.get(), ctx.get())) {
|
|
return false;
|
|
}
|
|
if (fp != NULL) {
|
|
if (!g_results) {
|
|
BN_print_fp(fp, a.get());
|
|
puts_fp(fp, " * ");
|
|
BN_print_fp(fp, b.get());
|
|
puts_fp(fp, " - ");
|
|
}
|
|
BN_print_fp(fp, c.get());
|
|
puts_fp(fp, "\n");
|
|
}
|
|
if (!BN_div(d.get(), e.get(), c.get(), a.get(), ctx.get()) ||
|
|
!BN_sub(d.get(), d.get(), b.get())) {
|
|
return false;
|
|
}
|
|
if (!BN_is_zero(d.get()) || !BN_is_zero(e.get())) {
|
|
fprintf(stderr, "Multiplication test failed!\n");
|
|
return false;
|
|
}
|
|
}
|
|
return true;
|
|
}
|
|
|
|
static bool test_sqr(FILE *fp, BN_CTX *ctx) {
|
|
ScopedBIGNUM a(BN_new());
|
|
ScopedBIGNUM c(BN_new());
|
|
ScopedBIGNUM d(BN_new());
|
|
ScopedBIGNUM e(BN_new());
|
|
if (!a || !c || !d || !e) {
|
|
return false;
|
|
}
|
|
|
|
for (int i = 0; i < num0; i++) {
|
|
if (!BN_rand(a.get(), 40 + i * 10, 0, 0)) {
|
|
return false;
|
|
}
|
|
a->neg = rand_neg();
|
|
if (!BN_sqr(c.get(), a.get(), ctx)) {
|
|
return false;
|
|
}
|
|
if (fp != NULL) {
|
|
if (!g_results) {
|
|
BN_print_fp(fp, a.get());
|
|
puts_fp(fp, " * ");
|
|
BN_print_fp(fp, a.get());
|
|
puts_fp(fp, " - ");
|
|
}
|
|
BN_print_fp(fp, c.get());
|
|
puts_fp(fp, "\n");
|
|
}
|
|
if (!BN_div(d.get(), e.get(), c.get(), a.get(), ctx) ||
|
|
!BN_sub(d.get(), d.get(), a.get())) {
|
|
return false;
|
|
}
|
|
if (!BN_is_zero(d.get()) || !BN_is_zero(e.get())) {
|
|
fprintf(stderr, "Square test failed!\n");
|
|
return false;
|
|
}
|
|
}
|
|
|
|
// Regression test for a BN_sqr overflow bug.
|
|
BIGNUM *a_raw = a.get();
|
|
if (!BN_hex2bn(
|
|
&a_raw,
|
|
"80000000000000008000000000000001FFFFFFFFFFFFFFFE0000000000000000") ||
|
|
!BN_sqr(c.get(), a.get(), ctx)) {
|
|
return false;
|
|
}
|
|
if (fp != NULL) {
|
|
if (!g_results) {
|
|
BN_print_fp(fp, a.get());
|
|
puts_fp(fp, " * ");
|
|
BN_print_fp(fp, a.get());
|
|
puts_fp(fp, " - ");
|
|
}
|
|
BN_print_fp(fp, c.get());
|
|
puts_fp(fp, "\n");
|
|
}
|
|
if (!BN_mul(d.get(), a.get(), a.get(), ctx)) {
|
|
return false;
|
|
}
|
|
if (BN_cmp(c.get(), d.get())) {
|
|
fprintf(stderr,
|
|
"Square test failed: BN_sqr and BN_mul produce "
|
|
"different results!\n");
|
|
return false;
|
|
}
|
|
|
|
// Regression test for a BN_sqr overflow bug.
|
|
a_raw = a.get();
|
|
if (!BN_hex2bn(
|
|
&a_raw,
|
|
"80000000000000000000000080000001FFFFFFFE000000000000000000000000") ||
|
|
!BN_sqr(c.get(), a.get(), ctx)) {
|
|
return false;
|
|
}
|
|
if (fp != NULL) {
|
|
if (!g_results) {
|
|
BN_print_fp(fp, a.get());
|
|
puts_fp(fp, " * ");
|
|
BN_print_fp(fp, a.get());
|
|
puts_fp(fp, " - ");
|
|
}
|
|
BN_print_fp(fp, c.get());
|
|
puts_fp(fp, "\n");
|
|
}
|
|
if (!BN_mul(d.get(), a.get(), a.get(), ctx)) {
|
|
return false;
|
|
}
|
|
if (BN_cmp(c.get(), d.get())) {
|
|
fprintf(stderr,
|
|
"Square test failed: BN_sqr and BN_mul produce "
|
|
"different results!\n");
|
|
return false;
|
|
}
|
|
|
|
return true;
|
|
}
|
|
|
|
|
|
static int rand_neg() {
|
|
static unsigned int neg = 0;
|
|
static const int sign[8] = {0, 0, 0, 1, 1, 0, 1, 1};
|
|
|
|
return sign[(neg++) % 8];
|
|
}
|
|
|
|
static void print_word(FILE *fp, BN_ULONG w) {
|
|
fprintf(fp, BN_HEX_FMT1, w);
|
|
}
|
|
|
|
static bool test_div_word(FILE *fp) {
|
|
ScopedBIGNUM a(BN_new());
|
|
ScopedBIGNUM b(BN_new());
|
|
if (!a || !b) {
|
|
return false;
|
|
}
|
|
|
|
for (int i = 0; i < num0; i++) {
|
|
BN_ULONG s;
|
|
do {
|
|
if (!BN_rand(a.get(), 512, -1, 0) ||
|
|
!BN_rand(b.get(), BN_BITS2, -1, 0)) {
|
|
return false;
|
|
}
|
|
s = b->d[0];
|
|
} while (!s);
|
|
|
|
if (!BN_copy(b.get(), a.get())) {
|
|
return false;
|
|
}
|
|
BN_ULONG r = BN_div_word(b.get(), s);
|
|
if (r == (BN_ULONG)-1) {
|
|
return false;
|
|
}
|
|
|
|
if (fp != NULL) {
|
|
if (!g_results) {
|
|
BN_print_fp(fp, a.get());
|
|
puts_fp(fp, " / ");
|
|
print_word(fp, s);
|
|
puts_fp(fp, " - ");
|
|
}
|
|
BN_print_fp(fp, b.get());
|
|
puts_fp(fp, "\n");
|
|
|
|
if (!g_results) {
|
|
BN_print_fp(fp, a.get());
|
|
puts_fp(fp, " % ");
|
|
print_word(fp, s);
|
|
puts_fp(fp, " - ");
|
|
}
|
|
print_word(fp, r);
|
|
puts_fp(fp, "\n");
|
|
}
|
|
if (!BN_mul_word(b.get(), s) ||
|
|
!BN_add_word(b.get(), r) ||
|
|
!BN_sub(b.get(), a.get(), b.get())) {
|
|
return false;
|
|
}
|
|
if (!BN_is_zero(b.get())) {
|
|
fprintf(stderr, "Division (word) test failed!\n");
|
|
return false;
|
|
}
|
|
}
|
|
return true;
|
|
}
|
|
|
|
static bool test_mont(FILE *fp, BN_CTX *ctx) {
|
|
ScopedBIGNUM a(BN_new());
|
|
ScopedBIGNUM b(BN_new());
|
|
ScopedBIGNUM c(BN_new());
|
|
ScopedBIGNUM d(BN_new());
|
|
ScopedBIGNUM A(BN_new());
|
|
ScopedBIGNUM B(BN_new());
|
|
ScopedBIGNUM n(BN_new());
|
|
ScopedBN_MONT_CTX mont(BN_MONT_CTX_new());
|
|
if (!a || !b || !c || !d || !A || !B || !n || !mont ||
|
|
!BN_rand(a.get(), 100, 0, 0) ||
|
|
!BN_rand(b.get(), 100, 0, 0)) {
|
|
return false;
|
|
}
|
|
|
|
for (int i = 0; i < num2; i++) {
|
|
int bits = (200 * (i + 1)) / num2;
|
|
|
|
if (bits == 0) {
|
|
continue;
|
|
}
|
|
if (!BN_rand(n.get(), bits, 0, 1) ||
|
|
!BN_MONT_CTX_set(mont.get(), n.get(), ctx) ||
|
|
!BN_nnmod(a.get(), a.get(), n.get(), ctx) ||
|
|
!BN_nnmod(b.get(), b.get(), n.get(), ctx) ||
|
|
!BN_to_montgomery(A.get(), a.get(), mont.get(), ctx) ||
|
|
!BN_to_montgomery(B.get(), b.get(), mont.get(), ctx) ||
|
|
!BN_mod_mul_montgomery(c.get(), A.get(), B.get(), mont.get(), ctx) ||
|
|
!BN_from_montgomery(A.get(), c.get(), mont.get(), ctx)) {
|
|
return false;
|
|
}
|
|
if (fp != NULL) {
|
|
if (!g_results) {
|
|
BN_print_fp(fp, a.get());
|
|
puts_fp(fp, " * ");
|
|
BN_print_fp(fp, b.get());
|
|
puts_fp(fp, " % ");
|
|
BN_print_fp(fp, &mont->N);
|
|
puts_fp(fp, " - ");
|
|
}
|
|
BN_print_fp(fp, A.get());
|
|
puts_fp(fp, "\n");
|
|
}
|
|
if (!BN_mod_mul(d.get(), a.get(), b.get(), n.get(), ctx) ||
|
|
!BN_sub(d.get(), d.get(), A.get())) {
|
|
return false;
|
|
}
|
|
if (!BN_is_zero(d.get())) {
|
|
fprintf(stderr, "Montgomery multiplication test failed!\n");
|
|
return false;
|
|
}
|
|
}
|
|
return true;
|
|
}
|
|
|
|
static bool test_mod(FILE *fp, BN_CTX *ctx) {
|
|
ScopedBIGNUM a(BN_new());
|
|
ScopedBIGNUM b(BN_new());
|
|
ScopedBIGNUM c(BN_new());
|
|
ScopedBIGNUM d(BN_new());
|
|
ScopedBIGNUM e(BN_new());
|
|
if (!a || !b || !c || !d || !e ||
|
|
!BN_rand(a.get(), 1024, 0, 0)) {
|
|
return false;
|
|
}
|
|
|
|
for (int i = 0; i < num0; i++) {
|
|
if (!BN_rand(b.get(), 450 + i * 10, 0, 0)) {
|
|
return false;
|
|
}
|
|
a->neg = rand_neg();
|
|
b->neg = rand_neg();
|
|
if (!BN_mod(c.get(), a.get(), b.get(), ctx)) {
|
|
return false;
|
|
}
|
|
if (fp != NULL) {
|
|
if (!g_results) {
|
|
BN_print_fp(fp, a.get());
|
|
puts_fp(fp, " % ");
|
|
BN_print_fp(fp, b.get());
|
|
puts_fp(fp, " - ");
|
|
}
|
|
BN_print_fp(fp, c.get());
|
|
puts_fp(fp, "\n");
|
|
}
|
|
if (!BN_div(d.get(), e.get(), a.get(), b.get(), ctx) ||
|
|
!BN_sub(e.get(), e.get(), c.get())) {
|
|
return false;
|
|
}
|
|
if (!BN_is_zero(e.get())) {
|
|
fprintf(stderr, "Modulo test failed!\n");
|
|
return false;
|
|
}
|
|
}
|
|
return true;
|
|
}
|
|
|
|
static bool test_mod_mul(FILE *fp, BN_CTX *ctx) {
|
|
ScopedBIGNUM a(BN_new());
|
|
ScopedBIGNUM b(BN_new());
|
|
ScopedBIGNUM c(BN_new());
|
|
ScopedBIGNUM d(BN_new());
|
|
ScopedBIGNUM e(BN_new());
|
|
if (!a || !b || !c || !d || !e) {
|
|
return false;
|
|
}
|
|
|
|
for (int j = 0; j < 3; j++) {
|
|
if (!BN_rand(c.get(), 1024, 0, 0)) {
|
|
return false;
|
|
}
|
|
for (int i = 0; i < num0; i++) {
|
|
if (!BN_rand(a.get(), 475 + i * 10, 0, 0) ||
|
|
!BN_rand(b.get(), 425 + i * 11, 0, 0)) {
|
|
return false;
|
|
}
|
|
a->neg = rand_neg();
|
|
b->neg = rand_neg();
|
|
if (!BN_mod_mul(e.get(), a.get(), b.get(), c.get(), ctx)) {
|
|
ERR_print_errors_fp(stderr);
|
|
return false;
|
|
}
|
|
if (fp != NULL) {
|
|
if (!g_results) {
|
|
BN_print_fp(fp, a.get());
|
|
puts_fp(fp, " * ");
|
|
BN_print_fp(fp, b.get());
|
|
puts_fp(fp, " % ");
|
|
BN_print_fp(fp, c.get());
|
|
if (a->neg != b->neg && !BN_is_zero(e.get())) {
|
|
// If (a*b) % c is negative, c must be added
|
|
// in order to obtain the normalized remainder
|
|
// (new with OpenSSL 0.9.7, previous versions of
|
|
// BN_mod_mul could generate negative results)
|
|
puts_fp(fp, " + ");
|
|
BN_print_fp(fp, c.get());
|
|
}
|
|
puts_fp(fp, " - ");
|
|
}
|
|
BN_print_fp(fp, e.get());
|
|
puts_fp(fp, "\n");
|
|
}
|
|
if (!BN_mul(d.get(), a.get(), b.get(), ctx) ||
|
|
!BN_sub(d.get(), d.get(), e.get()) ||
|
|
!BN_div(a.get(), b.get(), d.get(), c.get(), ctx)) {
|
|
return false;
|
|
}
|
|
if (!BN_is_zero(b.get())) {
|
|
fprintf(stderr, "Modulo multiply test failed!\n");
|
|
ERR_print_errors_fp(stderr);
|
|
return false;
|
|
}
|
|
}
|
|
}
|
|
return true;
|
|
}
|
|
|
|
static bool test_mod_exp(FILE *fp, BN_CTX *ctx) {
|
|
ScopedBIGNUM a(BN_new());
|
|
ScopedBIGNUM b(BN_new());
|
|
ScopedBIGNUM c(BN_new());
|
|
ScopedBIGNUM d(BN_new());
|
|
ScopedBIGNUM e(BN_new());
|
|
if (!a || !b || !c || !d || !e ||
|
|
!BN_rand(c.get(), 30, 0, 1)) { // must be odd for montgomery
|
|
return false;
|
|
}
|
|
for (int i = 0; i < num2; i++) {
|
|
if (!BN_rand(a.get(), 20 + i * 5, 0, 0) ||
|
|
!BN_rand(b.get(), 2 + i, 0, 0) ||
|
|
!BN_mod_exp(d.get(), a.get(), b.get(), c.get(), ctx)) {
|
|
return false;
|
|
}
|
|
|
|
if (fp != NULL) {
|
|
if (!g_results) {
|
|
BN_print_fp(fp, a.get());
|
|
puts_fp(fp, " ^ ");
|
|
BN_print_fp(fp, b.get());
|
|
puts_fp(fp, " % ");
|
|
BN_print_fp(fp, c.get());
|
|
puts_fp(fp, " - ");
|
|
}
|
|
BN_print_fp(fp, d.get());
|
|
puts_fp(fp, "\n");
|
|
}
|
|
if (!BN_exp(e.get(), a.get(), b.get(), ctx) ||
|
|
!BN_sub(e.get(), e.get(), d.get()) ||
|
|
!BN_div(a.get(), b.get(), e.get(), c.get(), ctx)) {
|
|
return false;
|
|
}
|
|
if (!BN_is_zero(b.get())) {
|
|
fprintf(stderr, "Modulo exponentiation test failed!\n");
|
|
return false;
|
|
}
|
|
}
|
|
return true;
|
|
}
|
|
|
|
static bool test_mod_exp_mont_consttime(FILE *fp, BN_CTX *ctx) {
|
|
ScopedBIGNUM a(BN_new());
|
|
ScopedBIGNUM b(BN_new());
|
|
ScopedBIGNUM c(BN_new());
|
|
ScopedBIGNUM d(BN_new());
|
|
ScopedBIGNUM e(BN_new());
|
|
if (!a || !b || !c || !d || !e ||
|
|
!BN_rand(c.get(), 30, 0, 1)) { // must be odd for montgomery
|
|
return false;
|
|
}
|
|
for (int i = 0; i < num2; i++) {
|
|
if (!BN_rand(a.get(), 20 + i * 5, 0, 0) ||
|
|
!BN_rand(b.get(), 2 + i, 0, 0) ||
|
|
!BN_mod_exp_mont_consttime(d.get(), a.get(), b.get(), c.get(), ctx,
|
|
NULL)) {
|
|
return false;
|
|
}
|
|
|
|
if (fp != NULL) {
|
|
if (!g_results) {
|
|
BN_print_fp(fp, a.get());
|
|
puts_fp(fp, " ^ ");
|
|
BN_print_fp(fp, b.get());
|
|
puts_fp(fp, " % ");
|
|
BN_print_fp(fp, c.get());
|
|
puts_fp(fp, " - ");
|
|
}
|
|
BN_print_fp(fp, d.get());
|
|
puts_fp(fp, "\n");
|
|
}
|
|
if (!BN_exp(e.get(), a.get(), b.get(), ctx) ||
|
|
!BN_sub(e.get(), e.get(), d.get()) ||
|
|
!BN_div(a.get(), b.get(), e.get(), c.get(), ctx)) {
|
|
return false;
|
|
}
|
|
if (!BN_is_zero(b.get())) {
|
|
fprintf(stderr, "Modulo exponentiation test failed!\n");
|
|
return false;
|
|
}
|
|
}
|
|
return true;
|
|
}
|
|
|
|
// Test constant-time modular exponentiation with 1024-bit inputs,
|
|
// which on x86_64 cause a different code branch to be taken.
|
|
static bool test_mod_exp_mont5(FILE *fp, BN_CTX *ctx) {
|
|
ScopedBIGNUM a(BN_new());
|
|
ScopedBIGNUM p(BN_new());
|
|
ScopedBIGNUM m(BN_new());
|
|
ScopedBIGNUM d(BN_new());
|
|
ScopedBIGNUM e(BN_new());
|
|
if (!a || !p || !m || !d || !e ||
|
|
!BN_rand(m.get(), 1024, 0, 1) || // must be odd for montgomery
|
|
!BN_rand(a.get(), 1024, 0, 0)) {
|
|
return false;
|
|
}
|
|
// Zero exponent.
|
|
BN_zero(p.get());
|
|
if (!BN_mod_exp_mont_consttime(d.get(), a.get(), p.get(), m.get(), ctx,
|
|
NULL)) {
|
|
return false;
|
|
}
|
|
if (!BN_is_one(d.get())) {
|
|
fprintf(stderr, "Modular exponentiation test failed!\n");
|
|
return false;
|
|
}
|
|
if (!BN_rand(p.get(), 1024, 0, 0)) {
|
|
return false;
|
|
}
|
|
// Zero input.
|
|
BN_zero(a.get());
|
|
if (!BN_mod_exp_mont_consttime(d.get(), a.get(), p.get(), m.get(), ctx,
|
|
NULL)) {
|
|
return false;
|
|
}
|
|
if (!BN_is_zero(d.get())) {
|
|
fprintf(stderr, "Modular exponentiation test failed!\n");
|
|
return false;
|
|
}
|
|
// Craft an input whose Montgomery representation is 1, i.e., shorter than the
|
|
// modulus m, in order to test the const time precomputation
|
|
// scattering/gathering.
|
|
ScopedBN_MONT_CTX mont(BN_MONT_CTX_new());
|
|
if (!mont || !BN_one(a.get()) ||
|
|
!BN_MONT_CTX_set(mont.get(), m.get(), ctx) ||
|
|
!BN_from_montgomery(e.get(), a.get(), mont.get(), ctx) ||
|
|
!BN_mod_exp_mont_consttime(d.get(), e.get(), p.get(), m.get(), ctx,
|
|
NULL) ||
|
|
!BN_mod_exp(a.get(), e.get(), p.get(), m.get(), ctx)) {
|
|
return false;
|
|
}
|
|
if (BN_cmp(a.get(), d.get()) != 0) {
|
|
fprintf(stderr, "Modular exponentiation test failed!\n");
|
|
return false;
|
|
}
|
|
// Finally, some regular test vectors.
|
|
if (!BN_rand(e.get(), 1024, 0, 0) ||
|
|
!BN_mod_exp_mont_consttime(d.get(), e.get(), p.get(), m.get(), ctx,
|
|
NULL) ||
|
|
!BN_mod_exp(a.get(), e.get(), p.get(), m.get(), ctx)) {
|
|
return false;
|
|
}
|
|
if (BN_cmp(a.get(), d.get()) != 0) {
|
|
fprintf(stderr, "Modular exponentiation test failed!\n");
|
|
return false;
|
|
}
|
|
|
|
return true;
|
|
}
|
|
|
|
static bool test_exp(FILE *fp, BN_CTX *ctx) {
|
|
ScopedBIGNUM a(BN_new());
|
|
ScopedBIGNUM b(BN_new());
|
|
ScopedBIGNUM d(BN_new());
|
|
ScopedBIGNUM e(BN_new());
|
|
if (!a || !b || !d || !e) {
|
|
return false;
|
|
}
|
|
|
|
for (int i = 0; i < num2; i++) {
|
|
if (!BN_rand(a.get(), 20 + i * 5, 0, 0) ||
|
|
!BN_rand(b.get(), 2 + i, 0, 0) ||
|
|
!BN_exp(d.get(), a.get(), b.get(), ctx)) {
|
|
return false;
|
|
}
|
|
|
|
if (fp != NULL) {
|
|
if (!g_results) {
|
|
BN_print_fp(fp, a.get());
|
|
puts_fp(fp, " ^ ");
|
|
BN_print_fp(fp, b.get());
|
|
puts_fp(fp, " - ");
|
|
}
|
|
BN_print_fp(fp, d.get());
|
|
puts_fp(fp, "\n");
|
|
}
|
|
if (!BN_one(e.get())) {
|
|
return false;
|
|
}
|
|
for (; !BN_is_zero(b.get()); BN_sub(b.get(), b.get(), BN_value_one())) {
|
|
if (!BN_mul(e.get(), e.get(), a.get(), ctx)) {
|
|
return false;
|
|
}
|
|
}
|
|
if (!BN_sub(e.get(), e.get(), d.get())) {
|
|
return false;
|
|
}
|
|
if (!BN_is_zero(e.get())) {
|
|
fprintf(stderr, "Exponentiation test failed!\n");
|
|
return false;
|
|
}
|
|
}
|
|
return true;
|
|
}
|
|
|
|
// test_exp_mod_zero tests that 1**0 mod 1 == 0.
|
|
static bool test_exp_mod_zero(void) {
|
|
ScopedBIGNUM zero(BN_new());
|
|
if (!zero) {
|
|
return false;
|
|
}
|
|
BN_zero(zero.get());
|
|
|
|
ScopedBN_CTX ctx(BN_CTX_new());
|
|
ScopedBIGNUM r(BN_new());
|
|
if (!ctx || !r ||
|
|
!BN_mod_exp(r.get(), BN_value_one(), zero.get(), BN_value_one(), ctx.get())) {
|
|
return false;
|
|
}
|
|
|
|
if (!BN_is_zero(r.get())) {
|
|
printf("1**0 mod 1 = ");
|
|
BN_print_fp(stdout, r.get());
|
|
printf(", should be 0\n");
|
|
return false;
|
|
}
|
|
|
|
return true;
|
|
}
|
|
|
|
static int genprime_cb(int p, int n, BN_GENCB *arg) {
|
|
char c = '*';
|
|
|
|
if (p == 0) {
|
|
c = '.';
|
|
} else if (p == 1) {
|
|
c = '+';
|
|
} else if (p == 2) {
|
|
c = '*';
|
|
} else if (p == 3) {
|
|
c = '\n';
|
|
}
|
|
putc(c, stdout);
|
|
fflush(stdout);
|
|
return 1;
|
|
}
|
|
|
|
static bool test_mod_sqrt(FILE *fp, BN_CTX *ctx) {
|
|
ScopedBIGNUM a(BN_new());
|
|
ScopedBIGNUM p(BN_new());
|
|
ScopedBIGNUM r(BN_new());
|
|
if (!a || !p || !r) {
|
|
return false;
|
|
}
|
|
|
|
BN_GENCB cb;
|
|
BN_GENCB_set(&cb, genprime_cb, NULL);
|
|
|
|
for (int i = 0; i < 16; i++) {
|
|
if (i < 8) {
|
|
const unsigned kPrimes[8] = {2, 3, 5, 7, 11, 13, 17, 19};
|
|
if (!BN_set_word(p.get(), kPrimes[i])) {
|
|
return false;
|
|
}
|
|
} else {
|
|
if (!BN_set_word(a.get(), 32) ||
|
|
!BN_set_word(r.get(), 2 * i + 1) ||
|
|
!BN_generate_prime_ex(p.get(), 256, 0, a.get(), r.get(), &cb)) {
|
|
return false;
|
|
}
|
|
putc('\n', stdout);
|
|
}
|
|
p->neg = rand_neg();
|
|
|
|
for (int j = 0; j < num2; j++) {
|
|
// construct 'a' such that it is a square modulo p, but in general not a
|
|
// proper square and not reduced modulo p
|
|
if (!BN_rand(r.get(), 256, 0, 3) ||
|
|
!BN_nnmod(r.get(), r.get(), p.get(), ctx) ||
|
|
!BN_mod_sqr(r.get(), r.get(), p.get(), ctx) ||
|
|
!BN_rand(a.get(), 256, 0, 3) ||
|
|
!BN_nnmod(a.get(), a.get(), p.get(), ctx) ||
|
|
!BN_mod_sqr(a.get(), a.get(), p.get(), ctx) ||
|
|
!BN_mul(a.get(), a.get(), r.get(), ctx)) {
|
|
return false;
|
|
}
|
|
if (rand_neg() && !BN_sub(a.get(), a.get(), p.get())) {
|
|
return false;
|
|
}
|
|
|
|
if (!BN_mod_sqrt(r.get(), a.get(), p.get(), ctx) ||
|
|
!BN_mod_sqr(r.get(), r.get(), p.get(), ctx) ||
|
|
!BN_nnmod(a.get(), a.get(), p.get(), ctx)) {
|
|
return false;
|
|
}
|
|
|
|
if (BN_cmp(a.get(), r.get()) != 0) {
|
|
fprintf(stderr, "BN_mod_sqrt failed: a = ");
|
|
BN_print_fp(stderr, a.get());
|
|
fprintf(stderr, ", r = ");
|
|
BN_print_fp(stderr, r.get());
|
|
fprintf(stderr, ", p = ");
|
|
BN_print_fp(stderr, p.get());
|
|
fprintf(stderr, "\n");
|
|
return false;
|
|
}
|
|
|
|
putc('.', stdout);
|
|
fflush(stdout);
|
|
}
|
|
|
|
putc('\n', stdout);
|
|
fflush(stderr);
|
|
}
|
|
return true;
|
|
}
|
|
|
|
static bool test_small_prime(FILE *fp, BN_CTX *ctx) {
|
|
static const int kBits = 10;
|
|
|
|
ScopedBIGNUM r(BN_new());
|
|
if (!r || !BN_generate_prime_ex(r.get(), kBits, 0, NULL, NULL, NULL)) {
|
|
return false;
|
|
}
|
|
if (BN_num_bits(r.get()) != kBits) {
|
|
fprintf(fp, "Expected %d bit prime, got %d bit number\n", kBits,
|
|
BN_num_bits(r.get()));
|
|
return false;
|
|
}
|
|
|
|
return true;
|
|
}
|
|
|
|
static bool test_sqrt(FILE *fp, BN_CTX *ctx) {
|
|
ScopedBIGNUM n(BN_new());
|
|
ScopedBIGNUM nn(BN_new());
|
|
ScopedBIGNUM sqrt(BN_new());
|
|
if (!n || !nn || !sqrt) {
|
|
return false;
|
|
}
|
|
|
|
// Test some random squares.
|
|
for (int i = 0; i < 100; i++) {
|
|
if (!BN_rand(n.get(), 1024 /* bit length */,
|
|
-1 /* no modification of top bits */,
|
|
0 /* don't modify bottom bit */) ||
|
|
!BN_mul(nn.get(), n.get(), n.get(), ctx) ||
|
|
!BN_sqrt(sqrt.get(), nn.get(), ctx)) {
|
|
ERR_print_errors_fp(stderr);
|
|
return false;
|
|
}
|
|
if (BN_cmp(n.get(), sqrt.get()) != 0) {
|
|
fprintf(stderr, "Bad result from BN_sqrt.\n");
|
|
return false;
|
|
}
|
|
}
|
|
|
|
// Test some non-squares.
|
|
for (int i = 0; i < 100; i++) {
|
|
if (!BN_rand(n.get(), 1024 /* bit length */,
|
|
-1 /* no modification of top bits */,
|
|
0 /* don't modify bottom bit */) ||
|
|
!BN_mul(nn.get(), n.get(), n.get(), ctx) ||
|
|
!BN_add(nn.get(), nn.get(), BN_value_one())) {
|
|
ERR_print_errors_fp(stderr);
|
|
return false;
|
|
}
|
|
|
|
if (BN_sqrt(sqrt.get(), nn.get(), ctx)) {
|
|
char *nn_str = BN_bn2dec(nn.get());
|
|
fprintf(stderr, "BIO_sqrt didn't fail on a non-square: %s\n", nn_str);
|
|
OPENSSL_free(nn_str);
|
|
}
|
|
}
|
|
|
|
return true;
|
|
}
|
|
|
|
static bool test_bn2bin_padded(FILE *fp, BN_CTX *ctx) {
|
|
uint8_t zeros[256], out[256], reference[128];
|
|
|
|
memset(zeros, 0, sizeof(zeros));
|
|
|
|
// Test edge case at 0.
|
|
ScopedBIGNUM n(BN_new());
|
|
if (!n || !BN_bn2bin_padded(NULL, 0, n.get())) {
|
|
fprintf(stderr,
|
|
"BN_bn2bin_padded failed to encode 0 in an empty buffer.\n");
|
|
return false;
|
|
}
|
|
memset(out, -1, sizeof(out));
|
|
if (!BN_bn2bin_padded(out, sizeof(out), n.get())) {
|
|
fprintf(stderr,
|
|
"BN_bn2bin_padded failed to encode 0 in a non-empty buffer.\n");
|
|
return false;
|
|
}
|
|
if (memcmp(zeros, out, sizeof(out))) {
|
|
fprintf(stderr, "BN_bn2bin_padded did not zero buffer.\n");
|
|
return false;
|
|
}
|
|
|
|
// Test a random numbers at various byte lengths.
|
|
for (size_t bytes = 128 - 7; bytes <= 128; bytes++) {
|
|
if (!BN_rand(n.get(), bytes * 8, 0 /* make sure top bit is 1 */,
|
|
0 /* don't modify bottom bit */)) {
|
|
ERR_print_errors_fp(stderr);
|
|
return false;
|
|
}
|
|
if (BN_num_bytes(n.get()) != bytes ||
|
|
BN_bn2bin(n.get(), reference) != bytes) {
|
|
fprintf(stderr, "Bad result from BN_rand; bytes.\n");
|
|
return false;
|
|
}
|
|
// Empty buffer should fail.
|
|
if (BN_bn2bin_padded(NULL, 0, n.get())) {
|
|
fprintf(stderr,
|
|
"BN_bn2bin_padded incorrectly succeeded on empty buffer.\n");
|
|
return false;
|
|
}
|
|
// One byte short should fail.
|
|
if (BN_bn2bin_padded(out, bytes - 1, n.get())) {
|
|
fprintf(stderr, "BN_bn2bin_padded incorrectly succeeded on short.\n");
|
|
return false;
|
|
}
|
|
// Exactly right size should encode.
|
|
if (!BN_bn2bin_padded(out, bytes, n.get()) ||
|
|
memcmp(out, reference, bytes) != 0) {
|
|
fprintf(stderr, "BN_bn2bin_padded gave a bad result.\n");
|
|
return false;
|
|
}
|
|
// Pad up one byte extra.
|
|
if (!BN_bn2bin_padded(out, bytes + 1, n.get()) ||
|
|
memcmp(out + 1, reference, bytes) || memcmp(out, zeros, 1)) {
|
|
fprintf(stderr, "BN_bn2bin_padded gave a bad result.\n");
|
|
return false;
|
|
}
|
|
// Pad up to 256.
|
|
if (!BN_bn2bin_padded(out, sizeof(out), n.get()) ||
|
|
memcmp(out + sizeof(out) - bytes, reference, bytes) ||
|
|
memcmp(out, zeros, sizeof(out) - bytes)) {
|
|
fprintf(stderr, "BN_bn2bin_padded gave a bad result.\n");
|
|
return false;
|
|
}
|
|
}
|
|
|
|
return true;
|
|
}
|
|
|
|
static int DecimalToBIGNUM(ScopedBIGNUM *out, const char *in) {
|
|
BIGNUM *raw = NULL;
|
|
int ret = BN_dec2bn(&raw, in);
|
|
out->reset(raw);
|
|
return ret;
|
|
}
|
|
|
|
static bool test_dec2bn(FILE *fp, BN_CTX *ctx) {
|
|
ScopedBIGNUM bn;
|
|
int ret = DecimalToBIGNUM(&bn, "0");
|
|
if (ret != 1 || !BN_is_zero(bn.get()) || BN_is_negative(bn.get())) {
|
|
fprintf(stderr, "BN_dec2bn gave a bad result.\n");
|
|
return false;
|
|
}
|
|
|
|
ret = DecimalToBIGNUM(&bn, "256");
|
|
if (ret != 3 || !BN_is_word(bn.get(), 256) || BN_is_negative(bn.get())) {
|
|
fprintf(stderr, "BN_dec2bn gave a bad result.\n");
|
|
return false;
|
|
}
|
|
|
|
ret = DecimalToBIGNUM(&bn, "-42");
|
|
if (ret != 3 || !BN_abs_is_word(bn.get(), 42) || !BN_is_negative(bn.get())) {
|
|
fprintf(stderr, "BN_dec2bn gave a bad result.\n");
|
|
return false;
|
|
}
|
|
|
|
ret = DecimalToBIGNUM(&bn, "-0");
|
|
if (ret != 2 || !BN_is_zero(bn.get()) || BN_is_negative(bn.get())) {
|
|
fprintf(stderr, "BN_dec2bn gave a bad result.\n");
|
|
return false;
|
|
}
|
|
|
|
ret = DecimalToBIGNUM(&bn, "42trailing garbage is ignored");
|
|
if (ret != 2 || !BN_abs_is_word(bn.get(), 42) || BN_is_negative(bn.get())) {
|
|
fprintf(stderr, "BN_dec2bn gave a bad result.\n");
|
|
return false;
|
|
}
|
|
|
|
return true;
|
|
}
|
|
|
|
static int HexToBIGNUM(ScopedBIGNUM *out, const char *in) {
|
|
BIGNUM *raw = NULL;
|
|
int ret = BN_hex2bn(&raw, in);
|
|
out->reset(raw);
|
|
return ret;
|
|
}
|
|
|
|
static bool test_hex2bn(FILE *fp, BN_CTX *ctx) {
|
|
ScopedBIGNUM bn;
|
|
int ret = HexToBIGNUM(&bn, "0");
|
|
if (ret != 1 || !BN_is_zero(bn.get()) || BN_is_negative(bn.get())) {
|
|
fprintf(stderr, "BN_hex2bn gave a bad result.\n");
|
|
return false;
|
|
}
|
|
|
|
ret = HexToBIGNUM(&bn, "256");
|
|
if (ret != 3 || !BN_is_word(bn.get(), 0x256) || BN_is_negative(bn.get())) {
|
|
fprintf(stderr, "BN_hex2bn gave a bad result.\n");
|
|
return false;
|
|
}
|
|
|
|
ret = HexToBIGNUM(&bn, "-42");
|
|
if (ret != 3 || !BN_abs_is_word(bn.get(), 0x42) || !BN_is_negative(bn.get())) {
|
|
fprintf(stderr, "BN_hex2bn gave a bad result.\n");
|
|
return false;
|
|
}
|
|
|
|
ret = HexToBIGNUM(&bn, "-0");
|
|
if (ret != 2 || !BN_is_zero(bn.get()) || BN_is_negative(bn.get())) {
|
|
fprintf(stderr, "BN_hex2bn gave a bad result.\n");
|
|
return false;
|
|
}
|
|
|
|
ret = HexToBIGNUM(&bn, "abctrailing garbage is ignored");
|
|
if (ret != 3 || !BN_is_word(bn.get(), 0xabc) || BN_is_negative(bn.get())) {
|
|
fprintf(stderr, "BN_hex2bn gave a bad result.\n");
|
|
return false;
|
|
}
|
|
|
|
return true;
|
|
}
|
|
|
|
static ScopedBIGNUM ASCIIToBIGNUM(const char *in) {
|
|
BIGNUM *raw = NULL;
|
|
if (!BN_asc2bn(&raw, in)) {
|
|
return nullptr;
|
|
}
|
|
return ScopedBIGNUM(raw);
|
|
}
|
|
|
|
static bool test_asc2bn(FILE *fp, BN_CTX *ctx) {
|
|
ScopedBIGNUM bn = ASCIIToBIGNUM("0");
|
|
if (!bn || !BN_is_zero(bn.get()) || BN_is_negative(bn.get())) {
|
|
fprintf(stderr, "BN_asc2bn gave a bad result.\n");
|
|
return false;
|
|
}
|
|
|
|
bn = ASCIIToBIGNUM("256");
|
|
if (!bn || !BN_is_word(bn.get(), 256) || BN_is_negative(bn.get())) {
|
|
fprintf(stderr, "BN_asc2bn gave a bad result.\n");
|
|
return false;
|
|
}
|
|
|
|
bn = ASCIIToBIGNUM("-42");
|
|
if (!bn || !BN_abs_is_word(bn.get(), 42) || !BN_is_negative(bn.get())) {
|
|
fprintf(stderr, "BN_asc2bn gave a bad result.\n");
|
|
return false;
|
|
}
|
|
|
|
bn = ASCIIToBIGNUM("0x1234");
|
|
if (!bn || !BN_is_word(bn.get(), 0x1234) || BN_is_negative(bn.get())) {
|
|
fprintf(stderr, "BN_asc2bn gave a bad result.\n");
|
|
return false;
|
|
}
|
|
|
|
bn = ASCIIToBIGNUM("0X1234");
|
|
if (!bn || !BN_is_word(bn.get(), 0x1234) || BN_is_negative(bn.get())) {
|
|
fprintf(stderr, "BN_asc2bn gave a bad result.\n");
|
|
return false;
|
|
}
|
|
|
|
bn = ASCIIToBIGNUM("-0xabcd");
|
|
if (!bn || !BN_abs_is_word(bn.get(), 0xabcd) || !BN_is_negative(bn.get())) {
|
|
fprintf(stderr, "BN_asc2bn gave a bad result.\n");
|
|
return false;
|
|
}
|
|
|
|
bn = ASCIIToBIGNUM("-0");
|
|
if (!bn || !BN_is_zero(bn.get()) || BN_is_negative(bn.get())) {
|
|
fprintf(stderr, "BN_asc2bn gave a bad result.\n");
|
|
return false;
|
|
}
|
|
|
|
bn = ASCIIToBIGNUM("123trailing garbage is ignored");
|
|
if (!bn || !BN_is_word(bn.get(), 123) || BN_is_negative(bn.get())) {
|
|
fprintf(stderr, "BN_asc2bn gave a bad result.\n");
|
|
return false;
|
|
}
|
|
|
|
return true;
|
|
}
|