32a3780bab
Change-Id: Ib661e2f3b87543a4b7a091631e9e2a66709a70e8 Reviewed-on: https://boringssl-review.googlesource.com/8530 Reviewed-by: Adam Langley <agl@google.com>
1621 lines
47 KiB
C++
1621 lines
47 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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/* For BIGNUM format macros. */
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#if !defined(__STDC_FORMAT_MACROS)
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#define __STDC_FORMAT_MACROS
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#endif
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#include <assert.h>
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#include <errno.h>
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#include <limits.h>
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#include <stdio.h>
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#include <string.h>
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#include <utility>
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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/file_test.h"
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#include "../crypto/test/scoped_types.h"
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#include "../crypto/test/test_util.h"
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// This program tests the BIGNUM implementation. It takes an optional -bc
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// argument to write a transcript compatible with the UNIX bc utility.
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//
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// TODO(davidben): Rather than generate random inputs and depend on bc to check
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// the results, most of these tests should use known answers.
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static const int num0 = 100; // number of tests
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static const int num2 = 5; // number of tests for slow functions
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static int rand_neg();
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static bool test_mont(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_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 TestBN2BinPadded(BN_CTX *ctx);
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static bool TestDec2BN(BN_CTX *ctx);
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static bool TestHex2BN(BN_CTX *ctx);
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static bool TestASC2BN(BN_CTX *ctx);
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static bool TestMPI();
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static bool TestRand();
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static bool TestASN1();
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static bool TestNegativeZero(BN_CTX *ctx);
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static bool TestBadModulus(BN_CTX *ctx);
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static bool TestExpModZero();
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static bool TestSmallPrime(BN_CTX *ctx);
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static bool RunTest(FileTest *t, void *arg);
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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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if (out != nullptr) {
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fputs(m, out);
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}
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}
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static void flush_fp(FILE *out) {
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if (out != nullptr) {
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fflush(out);
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}
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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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ScopedFILE bc_file;
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const char *name = argv[0];
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argc--;
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argv++;
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if (argc > 0 && strcmp(argv[0], "-bc") == 0) {
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if (argc < 2) {
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fprintf(stderr, "Missing parameter to -bc\n");
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return 1;
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}
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bc_file.reset(fopen(argv[1], "w+"));
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if (!bc_file) {
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fprintf(stderr, "Failed to open %s: %s\n", argv[1], strerror(errno));
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}
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argc -= 2;
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argv += 2;
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}
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if (argc != 1) {
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fprintf(stderr, "%s [-bc BC_FILE] TEST_FILE\n", name);
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return 1;
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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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puts_fp(bc_file.get(), "/* This script, when run through the UNIX bc utility, "
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"should produce a sequence of zeros. */\n");
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puts_fp(bc_file.get(), "/* tr a-f A-F < bn_test.out | sed s/BAsE/base/ | bc "
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"| grep -v 0 */\n");
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puts_fp(bc_file.get(), "obase=16\nibase=16\n");
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message(bc_file.get(), "BN_mod_mul");
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if (!test_mod_mul(bc_file.get(), ctx.get())) {
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return 1;
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}
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flush_fp(bc_file.get());
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message(bc_file.get(), "BN_mont");
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if (!test_mont(bc_file.get(), ctx.get())) {
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return 1;
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}
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flush_fp(bc_file.get());
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message(bc_file.get(), "BN_mod_exp");
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if (!test_mod_exp(bc_file.get(), ctx.get())) {
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return 1;
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}
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flush_fp(bc_file.get());
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message(bc_file.get(), "BN_mod_exp_mont_consttime");
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if (!test_mod_exp_mont_consttime(bc_file.get(), ctx.get()) ||
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!test_mod_exp_mont5(bc_file.get(), ctx.get())) {
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return 1;
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}
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flush_fp(bc_file.get());
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message(bc_file.get(), "BN_exp");
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if (!test_exp(bc_file.get(), ctx.get())) {
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return 1;
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}
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flush_fp(bc_file.get());
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message(bc_file.get(), "BN_mod_sqrt");
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if (!test_mod_sqrt(bc_file.get(), ctx.get())) {
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return 1;
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}
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flush_fp(bc_file.get());
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message(bc_file.get(), "BN_sqrt");
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if (!test_sqrt(bc_file.get(), ctx.get())) {
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return 1;
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}
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flush_fp(bc_file.get());
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if (!TestBN2BinPadded(ctx.get()) ||
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!TestDec2BN(ctx.get()) ||
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!TestHex2BN(ctx.get()) ||
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!TestASC2BN(ctx.get()) ||
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!TestMPI() ||
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!TestRand() ||
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!TestASN1() ||
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!TestNegativeZero(ctx.get()) ||
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!TestBadModulus(ctx.get()) ||
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!TestExpModZero() ||
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!TestSmallPrime(ctx.get())) {
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return 1;
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}
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return FileTestMain(RunTest, ctx.get(), argv[0]);
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}
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static int HexToBIGNUM(ScopedBIGNUM *out, const char *in) {
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BIGNUM *raw = NULL;
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int ret = BN_hex2bn(&raw, in);
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out->reset(raw);
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return ret;
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}
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static ScopedBIGNUM GetBIGNUM(FileTest *t, const char *attribute) {
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std::string hex;
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if (!t->GetAttribute(&hex, attribute)) {
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return nullptr;
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}
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ScopedBIGNUM ret;
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if (HexToBIGNUM(&ret, hex.c_str()) != static_cast<int>(hex.size())) {
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t->PrintLine("Could not decode '%s'.", hex.c_str());
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return nullptr;
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}
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return ret;
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}
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static bool GetInt(FileTest *t, int *out, const char *attribute) {
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ScopedBIGNUM ret = GetBIGNUM(t, attribute);
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if (!ret) {
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return false;
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}
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BN_ULONG word = BN_get_word(ret.get());
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if (word > INT_MAX) {
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return false;
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}
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*out = static_cast<int>(word);
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return true;
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}
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static bool ExpectBIGNUMsEqual(FileTest *t, const char *operation,
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const BIGNUM *expected, const BIGNUM *actual) {
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if (BN_cmp(expected, actual) == 0) {
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return true;
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}
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ScopedOpenSSLString expected_str(BN_bn2hex(expected));
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ScopedOpenSSLString actual_str(BN_bn2hex(actual));
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if (!expected_str || !actual_str) {
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return false;
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}
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t->PrintLine("Got %s =", operation);
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t->PrintLine("\t%s", actual_str.get());
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t->PrintLine("wanted:");
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t->PrintLine("\t%s", expected_str.get());
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return false;
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}
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static bool TestSum(FileTest *t, BN_CTX *ctx) {
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ScopedBIGNUM a = GetBIGNUM(t, "A");
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ScopedBIGNUM b = GetBIGNUM(t, "B");
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ScopedBIGNUM sum = GetBIGNUM(t, "Sum");
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if (!a || !b || !sum) {
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return false;
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}
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ScopedBIGNUM ret(BN_new());
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if (!ret ||
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!BN_add(ret.get(), a.get(), b.get()) ||
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!ExpectBIGNUMsEqual(t, "A + B", sum.get(), ret.get()) ||
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!BN_sub(ret.get(), sum.get(), a.get()) ||
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!ExpectBIGNUMsEqual(t, "Sum - A", b.get(), ret.get()) ||
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!BN_sub(ret.get(), sum.get(), b.get()) ||
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!ExpectBIGNUMsEqual(t, "Sum - B", a.get(), ret.get())) {
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return false;
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}
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return true;
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}
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static bool TestLShift1(FileTest *t, BN_CTX *ctx) {
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ScopedBIGNUM a = GetBIGNUM(t, "A");
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ScopedBIGNUM lshift1 = GetBIGNUM(t, "LShift1");
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ScopedBIGNUM zero(BN_new());
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if (!a || !lshift1 || !zero) {
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return false;
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}
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BN_zero(zero.get());
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ScopedBIGNUM ret(BN_new()), two(BN_new()), remainder(BN_new());
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if (!ret || !two || !remainder ||
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!BN_set_word(two.get(), 2) ||
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!BN_add(ret.get(), a.get(), a.get()) ||
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!ExpectBIGNUMsEqual(t, "A + A", lshift1.get(), ret.get()) ||
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!BN_mul(ret.get(), a.get(), two.get(), ctx) ||
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!ExpectBIGNUMsEqual(t, "A * 2", lshift1.get(), ret.get()) ||
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!BN_div(ret.get(), remainder.get(), lshift1.get(), two.get(), ctx) ||
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!ExpectBIGNUMsEqual(t, "LShift1 / 2", a.get(), ret.get()) ||
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!ExpectBIGNUMsEqual(t, "LShift1 % 2", zero.get(), remainder.get()) ||
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!BN_lshift1(ret.get(), a.get()) ||
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!ExpectBIGNUMsEqual(t, "A << 1", lshift1.get(), ret.get()) ||
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!BN_rshift1(ret.get(), lshift1.get()) ||
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!ExpectBIGNUMsEqual(t, "LShift >> 1", a.get(), ret.get()) ||
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!BN_rshift1(ret.get(), lshift1.get()) ||
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!ExpectBIGNUMsEqual(t, "LShift >> 1", a.get(), ret.get())) {
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return false;
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}
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// Set the LSB to 1 and test rshift1 again.
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if (BN_is_negative(lshift1.get())) {
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if (!BN_sub(lshift1.get(), lshift1.get(), BN_value_one())) {
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return false;
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}
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} else {
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if (!BN_add(lshift1.get(), lshift1.get(), BN_value_one())) {
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return false;
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}
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}
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if (!BN_div(ret.get(), nullptr /* rem */, lshift1.get(), two.get(), ctx) ||
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!ExpectBIGNUMsEqual(t, "(LShift1 | 1) / 2", a.get(), ret.get()) ||
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!BN_rshift1(ret.get(), lshift1.get()) ||
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!ExpectBIGNUMsEqual(t, "(LShift | 1) >> 1", a.get(), ret.get())) {
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return false;
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}
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return true;
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}
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static bool TestLShift(FileTest *t, BN_CTX *ctx) {
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ScopedBIGNUM a = GetBIGNUM(t, "A");
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ScopedBIGNUM lshift = GetBIGNUM(t, "LShift");
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int n = 0;
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if (!a || !lshift || !GetInt(t, &n, "N")) {
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return false;
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}
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ScopedBIGNUM ret(BN_new());
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if (!ret ||
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!BN_lshift(ret.get(), a.get(), n) ||
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!ExpectBIGNUMsEqual(t, "A << N", lshift.get(), ret.get()) ||
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!BN_rshift(ret.get(), lshift.get(), n) ||
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!ExpectBIGNUMsEqual(t, "A >> N", a.get(), ret.get())) {
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return false;
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}
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return true;
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}
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static bool TestRShift(FileTest *t, BN_CTX *ctx) {
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ScopedBIGNUM a = GetBIGNUM(t, "A");
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ScopedBIGNUM rshift = GetBIGNUM(t, "RShift");
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int n = 0;
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if (!a || !rshift || !GetInt(t, &n, "N")) {
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return false;
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}
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ScopedBIGNUM ret(BN_new());
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if (!ret ||
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!BN_rshift(ret.get(), a.get(), n) ||
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!ExpectBIGNUMsEqual(t, "A >> N", rshift.get(), ret.get())) {
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return false;
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}
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return true;
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}
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static bool TestSquare(FileTest *t, BN_CTX *ctx) {
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ScopedBIGNUM a = GetBIGNUM(t, "A");
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ScopedBIGNUM square = GetBIGNUM(t, "Square");
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ScopedBIGNUM zero(BN_new());
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if (!a || !square || !zero) {
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return false;
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}
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BN_zero(zero.get());
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ScopedBIGNUM ret(BN_new()), remainder(BN_new());
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if (!ret ||
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!BN_sqr(ret.get(), a.get(), ctx) ||
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!ExpectBIGNUMsEqual(t, "A^2", square.get(), ret.get()) ||
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!BN_mul(ret.get(), a.get(), a.get(), ctx) ||
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!ExpectBIGNUMsEqual(t, "A * A", square.get(), ret.get()) ||
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!BN_div(ret.get(), remainder.get(), square.get(), a.get(), ctx) ||
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!ExpectBIGNUMsEqual(t, "Square / A", a.get(), ret.get()) ||
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!ExpectBIGNUMsEqual(t, "Square % A", zero.get(), remainder.get())) {
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return false;
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}
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BN_set_negative(a.get(), 0);
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if (!BN_sqrt(ret.get(), square.get(), ctx) ||
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!ExpectBIGNUMsEqual(t, "sqrt(Square)", a.get(), ret.get())) {
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return false;
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}
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return true;
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}
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static bool TestProduct(FileTest *t, BN_CTX *ctx) {
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ScopedBIGNUM a = GetBIGNUM(t, "A");
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ScopedBIGNUM b = GetBIGNUM(t, "B");
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ScopedBIGNUM product = GetBIGNUM(t, "Product");
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ScopedBIGNUM zero(BN_new());
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if (!a || !b || !product || !zero) {
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return false;
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}
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BN_zero(zero.get());
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ScopedBIGNUM ret(BN_new()), remainder(BN_new());
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if (!ret || !remainder ||
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!BN_mul(ret.get(), a.get(), b.get(), ctx) ||
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!ExpectBIGNUMsEqual(t, "A * B", product.get(), ret.get()) ||
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!BN_div(ret.get(), remainder.get(), product.get(), a.get(), ctx) ||
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!ExpectBIGNUMsEqual(t, "Product / A", b.get(), ret.get()) ||
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!ExpectBIGNUMsEqual(t, "Product % A", zero.get(), remainder.get()) ||
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!BN_div(ret.get(), remainder.get(), product.get(), b.get(), ctx) ||
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!ExpectBIGNUMsEqual(t, "Product / B", a.get(), ret.get()) ||
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!ExpectBIGNUMsEqual(t, "Product % B", zero.get(), remainder.get())) {
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return false;
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}
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return true;
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}
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|
|
static bool TestQuotient(FileTest *t, BN_CTX *ctx) {
|
|
ScopedBIGNUM a = GetBIGNUM(t, "A");
|
|
ScopedBIGNUM b = GetBIGNUM(t, "B");
|
|
ScopedBIGNUM quotient = GetBIGNUM(t, "Quotient");
|
|
ScopedBIGNUM remainder = GetBIGNUM(t, "Remainder");
|
|
if (!a || !b || !quotient || !remainder) {
|
|
return false;
|
|
}
|
|
|
|
ScopedBIGNUM ret(BN_new()), ret2(BN_new());
|
|
if (!ret || !ret2 ||
|
|
!BN_div(ret.get(), ret2.get(), a.get(), b.get(), ctx) ||
|
|
!ExpectBIGNUMsEqual(t, "A / B", quotient.get(), ret.get()) ||
|
|
!ExpectBIGNUMsEqual(t, "A % B", remainder.get(), ret2.get()) ||
|
|
!BN_mul(ret.get(), quotient.get(), b.get(), ctx) ||
|
|
!BN_add(ret.get(), ret.get(), remainder.get()) ||
|
|
!ExpectBIGNUMsEqual(t, "Quotient * B + Remainder", a.get(), ret.get())) {
|
|
return false;
|
|
}
|
|
|
|
// Test with |BN_mod_word| and |BN_div_word| if the divisor is small enough.
|
|
BN_ULONG b_word = BN_get_word(b.get());
|
|
if (!BN_is_negative(b.get()) && b_word != (BN_ULONG)-1) {
|
|
BN_ULONG remainder_word = BN_get_word(remainder.get());
|
|
assert(remainder_word != (BN_ULONG)-1);
|
|
if (!BN_copy(ret.get(), a.get())) {
|
|
return false;
|
|
}
|
|
BN_ULONG ret_word = BN_div_word(ret.get(), b_word);
|
|
if (ret_word != remainder_word) {
|
|
t->PrintLine("Got A %% B (word) = " BN_HEX_FMT1 ", wanted " BN_HEX_FMT1
|
|
"\n",
|
|
ret_word, remainder_word);
|
|
return false;
|
|
}
|
|
if (!ExpectBIGNUMsEqual(t, "A / B (word)", quotient.get(), ret.get())) {
|
|
return false;
|
|
}
|
|
|
|
ret_word = BN_mod_word(a.get(), b_word);
|
|
if (ret_word != remainder_word) {
|
|
t->PrintLine("Got A %% B (word) = " BN_HEX_FMT1 ", wanted " BN_HEX_FMT1
|
|
"\n",
|
|
ret_word, remainder_word);
|
|
return false;
|
|
}
|
|
}
|
|
|
|
return true;
|
|
}
|
|
|
|
struct Test {
|
|
const char *name;
|
|
bool (*func)(FileTest *t, BN_CTX *ctx);
|
|
};
|
|
|
|
static const Test kTests[] = {
|
|
{"Sum", TestSum},
|
|
{"LShift1", TestLShift1},
|
|
{"LShift", TestLShift},
|
|
{"RShift", TestRShift},
|
|
{"Square", TestSquare},
|
|
{"Product", TestProduct},
|
|
{"Quotient", TestQuotient},
|
|
};
|
|
|
|
static bool RunTest(FileTest *t, void *arg) {
|
|
BN_CTX *ctx = reinterpret_cast<BN_CTX *>(arg);
|
|
for (const Test &test : kTests) {
|
|
if (t->GetType() != test.name) {
|
|
continue;
|
|
}
|
|
return test.func(t, ctx);
|
|
}
|
|
t->PrintLine("Unknown test type: %s", t->GetType().c_str());
|
|
return false;
|
|
}
|
|
|
|
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 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) {
|
|
return false;
|
|
}
|
|
|
|
if (!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) {
|
|
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_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) {
|
|
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) {
|
|
return false;
|
|
}
|
|
|
|
if (!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) {
|
|
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;
|
|
}
|
|
}
|
|
|
|
// Regression test for carry propagation bug in sqr8x_reduction.
|
|
if (!HexToBIGNUM(&a, "050505050505") ||
|
|
!HexToBIGNUM(&b, "02") ||
|
|
!HexToBIGNUM(
|
|
&c,
|
|
"4141414141414141414141274141414141414141414141414141414141414141"
|
|
"4141414141414141414141414141414141414141414141414141414141414141"
|
|
"4141414141414141414141800000000000000000000000000000000000000000"
|
|
"0000000000000000000000000000000000000000000000000000000000000000"
|
|
"0000000000000000000000000000000000000000000000000000000000000000"
|
|
"0000000000000000000000000000000000000000000000000000000001") ||
|
|
!BN_mod_exp(d.get(), a.get(), b.get(), c.get(), ctx) ||
|
|
!BN_mul(e.get(), a.get(), a.get(), ctx)) {
|
|
return false;
|
|
}
|
|
if (BN_cmp(d.get(), e.get()) != 0) {
|
|
fprintf(stderr, "BN_mod_exp and BN_mul produce different results!\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) {
|
|
return false;
|
|
}
|
|
|
|
if (!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) {
|
|
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) {
|
|
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;
|
|
}
|
|
while (!BN_is_zero(b.get())) {
|
|
if (!BN_mul(e.get(), e.get(), a.get(), ctx) ||
|
|
!BN_sub(b.get(), b.get(), BN_value_one())) {
|
|
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;
|
|
}
|
|
|
|
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;
|
|
}
|
|
|
|
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(), nullptr)) {
|
|
return false;
|
|
}
|
|
}
|
|
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;
|
|
}
|
|
}
|
|
}
|
|
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 TestBN2BinPadded(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 TestDec2BN(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 bool TestHex2BN(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 TestASC2BN(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;
|
|
}
|
|
|
|
struct MPITest {
|
|
const char *base10;
|
|
const char *mpi;
|
|
size_t mpi_len;
|
|
};
|
|
|
|
static const MPITest kMPITests[] = {
|
|
{ "0", "\x00\x00\x00\x00", 4 },
|
|
{ "1", "\x00\x00\x00\x01\x01", 5 },
|
|
{ "-1", "\x00\x00\x00\x01\x81", 5 },
|
|
{ "128", "\x00\x00\x00\x02\x00\x80", 6 },
|
|
{ "256", "\x00\x00\x00\x02\x01\x00", 6 },
|
|
{ "-256", "\x00\x00\x00\x02\x81\x00", 6 },
|
|
};
|
|
|
|
static bool TestMPI() {
|
|
uint8_t scratch[8];
|
|
|
|
for (size_t i = 0; i < sizeof(kMPITests) / sizeof(kMPITests[0]); i++) {
|
|
const MPITest &test = kMPITests[i];
|
|
ScopedBIGNUM bn(ASCIIToBIGNUM(test.base10));
|
|
const size_t mpi_len = BN_bn2mpi(bn.get(), NULL);
|
|
if (mpi_len > sizeof(scratch)) {
|
|
fprintf(stderr, "MPI test #%u: MPI size is too large to test.\n",
|
|
(unsigned)i);
|
|
return false;
|
|
}
|
|
|
|
const size_t mpi_len2 = BN_bn2mpi(bn.get(), scratch);
|
|
if (mpi_len != mpi_len2) {
|
|
fprintf(stderr, "MPI test #%u: length changes.\n", (unsigned)i);
|
|
return false;
|
|
}
|
|
|
|
if (mpi_len != test.mpi_len ||
|
|
memcmp(test.mpi, scratch, mpi_len) != 0) {
|
|
fprintf(stderr, "MPI test #%u failed:\n", (unsigned)i);
|
|
hexdump(stderr, "Expected: ", test.mpi, test.mpi_len);
|
|
hexdump(stderr, "Got: ", scratch, mpi_len);
|
|
return false;
|
|
}
|
|
|
|
ScopedBIGNUM bn2(BN_mpi2bn(scratch, mpi_len, NULL));
|
|
if (bn2.get() == nullptr) {
|
|
fprintf(stderr, "MPI test #%u: failed to parse\n", (unsigned)i);
|
|
return false;
|
|
}
|
|
|
|
if (BN_cmp(bn.get(), bn2.get()) != 0) {
|
|
fprintf(stderr, "MPI test #%u: wrong result\n", (unsigned)i);
|
|
return false;
|
|
}
|
|
}
|
|
|
|
return true;
|
|
}
|
|
|
|
static bool TestRand() {
|
|
ScopedBIGNUM bn(BN_new());
|
|
if (!bn) {
|
|
return false;
|
|
}
|
|
|
|
// Test BN_rand accounts for degenerate cases with |top| and |bottom|
|
|
// parameters.
|
|
if (!BN_rand(bn.get(), 0, 0 /* top */, 0 /* bottom */) ||
|
|
!BN_is_zero(bn.get())) {
|
|
fprintf(stderr, "BN_rand gave a bad result.\n");
|
|
return false;
|
|
}
|
|
if (!BN_rand(bn.get(), 0, 1 /* top */, 1 /* bottom */) ||
|
|
!BN_is_zero(bn.get())) {
|
|
fprintf(stderr, "BN_rand gave a bad result.\n");
|
|
return false;
|
|
}
|
|
|
|
if (!BN_rand(bn.get(), 1, 0 /* top */, 0 /* bottom */) ||
|
|
!BN_is_word(bn.get(), 1)) {
|
|
fprintf(stderr, "BN_rand gave a bad result.\n");
|
|
return false;
|
|
}
|
|
if (!BN_rand(bn.get(), 1, 1 /* top */, 0 /* bottom */) ||
|
|
!BN_is_word(bn.get(), 1)) {
|
|
fprintf(stderr, "BN_rand gave a bad result.\n");
|
|
return false;
|
|
}
|
|
if (!BN_rand(bn.get(), 1, -1 /* top */, 1 /* bottom */) ||
|
|
!BN_is_word(bn.get(), 1)) {
|
|
fprintf(stderr, "BN_rand gave a bad result.\n");
|
|
return false;
|
|
}
|
|
|
|
if (!BN_rand(bn.get(), 2, 1 /* top */, 0 /* bottom */) ||
|
|
!BN_is_word(bn.get(), 3)) {
|
|
fprintf(stderr, "BN_rand gave a bad result.\n");
|
|
return false;
|
|
}
|
|
|
|
return true;
|
|
}
|
|
|
|
struct ASN1Test {
|
|
const char *value_ascii;
|
|
const char *der;
|
|
size_t der_len;
|
|
};
|
|
|
|
static const ASN1Test kASN1Tests[] = {
|
|
{"0", "\x02\x01\x00", 3},
|
|
{"1", "\x02\x01\x01", 3},
|
|
{"127", "\x02\x01\x7f", 3},
|
|
{"128", "\x02\x02\x00\x80", 4},
|
|
{"0xdeadbeef", "\x02\x05\x00\xde\xad\xbe\xef", 7},
|
|
{"0x0102030405060708",
|
|
"\x02\x08\x01\x02\x03\x04\x05\x06\x07\x08", 10},
|
|
{"0xffffffffffffffff",
|
|
"\x02\x09\x00\xff\xff\xff\xff\xff\xff\xff\xff", 11},
|
|
};
|
|
|
|
struct ASN1InvalidTest {
|
|
const char *der;
|
|
size_t der_len;
|
|
};
|
|
|
|
static const ASN1InvalidTest kASN1InvalidTests[] = {
|
|
// Bad tag.
|
|
{"\x03\x01\x00", 3},
|
|
// Empty contents.
|
|
{"\x02\x00", 2},
|
|
};
|
|
|
|
// kASN1BuggyTests contains incorrect encodings and the corresponding, expected
|
|
// results of |BN_parse_asn1_unsigned_buggy| given that input.
|
|
static const ASN1Test kASN1BuggyTests[] = {
|
|
// Negative numbers.
|
|
{"128", "\x02\x01\x80", 3},
|
|
{"255", "\x02\x01\xff", 3},
|
|
// Unnecessary leading zeros.
|
|
{"1", "\x02\x02\x00\x01", 4},
|
|
};
|
|
|
|
static bool TestASN1() {
|
|
for (const ASN1Test &test : kASN1Tests) {
|
|
ScopedBIGNUM bn = ASCIIToBIGNUM(test.value_ascii);
|
|
if (!bn) {
|
|
return false;
|
|
}
|
|
|
|
// Test that the input is correctly parsed.
|
|
ScopedBIGNUM bn2(BN_new());
|
|
if (!bn2) {
|
|
return false;
|
|
}
|
|
CBS cbs;
|
|
CBS_init(&cbs, reinterpret_cast<const uint8_t*>(test.der), test.der_len);
|
|
if (!BN_parse_asn1_unsigned(&cbs, bn2.get()) || CBS_len(&cbs) != 0) {
|
|
fprintf(stderr, "Parsing ASN.1 INTEGER failed.\n");
|
|
return false;
|
|
}
|
|
if (BN_cmp(bn.get(), bn2.get()) != 0) {
|
|
fprintf(stderr, "Bad parse.\n");
|
|
return false;
|
|
}
|
|
|
|
// Test the value serializes correctly.
|
|
CBB cbb;
|
|
uint8_t *der;
|
|
size_t der_len;
|
|
CBB_zero(&cbb);
|
|
if (!CBB_init(&cbb, 0) ||
|
|
!BN_marshal_asn1(&cbb, bn.get()) ||
|
|
!CBB_finish(&cbb, &der, &der_len)) {
|
|
CBB_cleanup(&cbb);
|
|
return false;
|
|
}
|
|
ScopedOpenSSLBytes delete_der(der);
|
|
if (der_len != test.der_len ||
|
|
memcmp(der, reinterpret_cast<const uint8_t*>(test.der), der_len) != 0) {
|
|
fprintf(stderr, "Bad serialization.\n");
|
|
return false;
|
|
}
|
|
|
|
// |BN_parse_asn1_unsigned_buggy| parses all valid input.
|
|
CBS_init(&cbs, reinterpret_cast<const uint8_t*>(test.der), test.der_len);
|
|
if (!BN_parse_asn1_unsigned_buggy(&cbs, bn2.get()) || CBS_len(&cbs) != 0) {
|
|
fprintf(stderr, "Parsing ASN.1 INTEGER failed.\n");
|
|
return false;
|
|
}
|
|
if (BN_cmp(bn.get(), bn2.get()) != 0) {
|
|
fprintf(stderr, "Bad parse.\n");
|
|
return false;
|
|
}
|
|
}
|
|
|
|
for (const ASN1InvalidTest &test : kASN1InvalidTests) {
|
|
ScopedBIGNUM bn(BN_new());
|
|
if (!bn) {
|
|
return false;
|
|
}
|
|
CBS cbs;
|
|
CBS_init(&cbs, reinterpret_cast<const uint8_t*>(test.der), test.der_len);
|
|
if (BN_parse_asn1_unsigned(&cbs, bn.get())) {
|
|
fprintf(stderr, "Parsed invalid input.\n");
|
|
return false;
|
|
}
|
|
ERR_clear_error();
|
|
|
|
// All tests in kASN1InvalidTests are also rejected by
|
|
// |BN_parse_asn1_unsigned_buggy|.
|
|
CBS_init(&cbs, reinterpret_cast<const uint8_t*>(test.der), test.der_len);
|
|
if (BN_parse_asn1_unsigned_buggy(&cbs, bn.get())) {
|
|
fprintf(stderr, "Parsed invalid input.\n");
|
|
return false;
|
|
}
|
|
ERR_clear_error();
|
|
}
|
|
|
|
for (const ASN1Test &test : kASN1BuggyTests) {
|
|
// These broken encodings are rejected by |BN_parse_asn1_unsigned|.
|
|
ScopedBIGNUM bn(BN_new());
|
|
if (!bn) {
|
|
return false;
|
|
}
|
|
|
|
CBS cbs;
|
|
CBS_init(&cbs, reinterpret_cast<const uint8_t*>(test.der), test.der_len);
|
|
if (BN_parse_asn1_unsigned(&cbs, bn.get())) {
|
|
fprintf(stderr, "Parsed invalid input.\n");
|
|
return false;
|
|
}
|
|
ERR_clear_error();
|
|
|
|
// However |BN_parse_asn1_unsigned_buggy| accepts them.
|
|
ScopedBIGNUM bn2 = ASCIIToBIGNUM(test.value_ascii);
|
|
if (!bn2) {
|
|
return false;
|
|
}
|
|
|
|
CBS_init(&cbs, reinterpret_cast<const uint8_t*>(test.der), test.der_len);
|
|
if (!BN_parse_asn1_unsigned_buggy(&cbs, bn.get()) || CBS_len(&cbs) != 0) {
|
|
fprintf(stderr, "Parsing (invalid) ASN.1 INTEGER failed.\n");
|
|
return false;
|
|
}
|
|
|
|
if (BN_cmp(bn.get(), bn2.get()) != 0) {
|
|
fprintf(stderr, "\"Bad\" parse.\n");
|
|
return false;
|
|
}
|
|
}
|
|
|
|
// Serializing negative numbers is not supported.
|
|
ScopedBIGNUM bn = ASCIIToBIGNUM("-1");
|
|
if (!bn) {
|
|
return false;
|
|
}
|
|
CBB cbb;
|
|
CBB_zero(&cbb);
|
|
if (!CBB_init(&cbb, 0) ||
|
|
BN_marshal_asn1(&cbb, bn.get())) {
|
|
fprintf(stderr, "Serialized negative number.\n");
|
|
CBB_cleanup(&cbb);
|
|
return false;
|
|
}
|
|
ERR_clear_error();
|
|
CBB_cleanup(&cbb);
|
|
|
|
return true;
|
|
}
|
|
|
|
static bool TestNegativeZero(BN_CTX *ctx) {
|
|
ScopedBIGNUM a(BN_new());
|
|
ScopedBIGNUM b(BN_new());
|
|
ScopedBIGNUM c(BN_new());
|
|
ScopedBIGNUM d(BN_new());
|
|
if (!a || !b || !c || !d) {
|
|
return false;
|
|
}
|
|
|
|
// Test that BN_mul never gives negative zero.
|
|
if (!BN_set_word(a.get(), 1)) {
|
|
return false;
|
|
}
|
|
BN_set_negative(a.get(), 1);
|
|
BN_zero(b.get());
|
|
if (!BN_mul(c.get(), a.get(), b.get(), ctx)) {
|
|
return false;
|
|
}
|
|
if (!BN_is_zero(c.get()) || BN_is_negative(c.get())) {
|
|
fprintf(stderr, "Multiplication test failed!\n");
|
|
return false;
|
|
}
|
|
|
|
// Test that BN_div never gives negative zero in the quotient.
|
|
if (!BN_set_word(a.get(), 1) ||
|
|
!BN_set_word(b.get(), 2)) {
|
|
return false;
|
|
}
|
|
BN_set_negative(a.get(), 1);
|
|
if (!BN_div(d.get(), c.get(), a.get(), b.get(), ctx)) {
|
|
return false;
|
|
}
|
|
if (!BN_is_zero(d.get()) || BN_is_negative(d.get())) {
|
|
fprintf(stderr, "Division test failed!\n");
|
|
return false;
|
|
}
|
|
|
|
// Test that BN_div never gives negative zero in the remainder.
|
|
if (!BN_set_word(b.get(), 1)) {
|
|
return false;
|
|
}
|
|
if (!BN_div(d.get(), c.get(), a.get(), b.get(), ctx)) {
|
|
return false;
|
|
}
|
|
if (!BN_is_zero(c.get()) || BN_is_negative(c.get())) {
|
|
fprintf(stderr, "Division test failed!\n");
|
|
return false;
|
|
}
|
|
|
|
return true;
|
|
}
|
|
|
|
static bool TestBadModulus(BN_CTX *ctx) {
|
|
ScopedBIGNUM a(BN_new());
|
|
ScopedBIGNUM b(BN_new());
|
|
ScopedBIGNUM zero(BN_new());
|
|
ScopedBN_MONT_CTX mont(BN_MONT_CTX_new());
|
|
if (!a || !b || !zero || !mont) {
|
|
return false;
|
|
}
|
|
|
|
BN_zero(zero.get());
|
|
|
|
if (BN_div(a.get(), b.get(), BN_value_one(), zero.get(), ctx)) {
|
|
fprintf(stderr, "Division by zero succeeded!\n");
|
|
return false;
|
|
}
|
|
ERR_clear_error();
|
|
|
|
if (BN_mod_mul(a.get(), BN_value_one(), BN_value_one(), zero.get(), ctx)) {
|
|
fprintf(stderr, "BN_mod_mul with zero modulus succeeded!\n");
|
|
return false;
|
|
}
|
|
ERR_clear_error();
|
|
|
|
if (BN_mod_exp(a.get(), BN_value_one(), BN_value_one(), zero.get(), ctx)) {
|
|
fprintf(stderr, "BN_mod_exp with zero modulus succeeded!\n");
|
|
return 0;
|
|
}
|
|
ERR_clear_error();
|
|
|
|
if (BN_mod_exp_mont_consttime(a.get(), BN_value_one(), BN_value_one(),
|
|
zero.get(), ctx, nullptr)) {
|
|
fprintf(stderr, "BN_mod_exp_mont_consttime with zero modulus succeeded!\n");
|
|
return 0;
|
|
}
|
|
ERR_clear_error();
|
|
|
|
if (BN_MONT_CTX_set(mont.get(), zero.get(), ctx)) {
|
|
fprintf(stderr, "BN_MONT_CTX_set succeeded for zero modulus!\n");
|
|
return false;
|
|
}
|
|
ERR_clear_error();
|
|
|
|
// Some operations also may not be used with an even modulus.
|
|
|
|
if (!BN_set_word(b.get(), 16)) {
|
|
return false;
|
|
}
|
|
|
|
if (BN_MONT_CTX_set(mont.get(), b.get(), ctx)) {
|
|
fprintf(stderr, "BN_MONT_CTX_set succeeded for even modulus!\n");
|
|
return false;
|
|
}
|
|
ERR_clear_error();
|
|
|
|
if (BN_mod_exp_mont_consttime(a.get(), BN_value_one(), BN_value_one(),
|
|
b.get(), ctx, nullptr)) {
|
|
fprintf(stderr, "BN_mod_exp_mont_consttime with even modulus succeeded!\n");
|
|
return 0;
|
|
}
|
|
ERR_clear_error();
|
|
|
|
return true;
|
|
}
|
|
|
|
// TestExpModZero tests that 1**0 mod 1 == 0.
|
|
static bool TestExpModZero() {
|
|
ScopedBIGNUM zero(BN_new()), a(BN_new()), r(BN_new());
|
|
if (!zero || !a || !r || !BN_rand(a.get(), 1024, 0, 0)) {
|
|
return false;
|
|
}
|
|
BN_zero(zero.get());
|
|
|
|
if (!BN_mod_exp(r.get(), a.get(), zero.get(), BN_value_one(), nullptr) ||
|
|
!BN_is_zero(r.get()) ||
|
|
!BN_mod_exp_mont(r.get(), a.get(), zero.get(), BN_value_one(), nullptr,
|
|
nullptr) ||
|
|
!BN_is_zero(r.get()) ||
|
|
!BN_mod_exp_mont_consttime(r.get(), a.get(), zero.get(), BN_value_one(),
|
|
nullptr, nullptr) ||
|
|
!BN_is_zero(r.get()) ||
|
|
!BN_mod_exp_mont_word(r.get(), 42, zero.get(), BN_value_one(), nullptr,
|
|
nullptr) ||
|
|
!BN_is_zero(r.get())) {
|
|
return false;
|
|
}
|
|
|
|
return true;
|
|
}
|
|
|
|
static bool TestSmallPrime(BN_CTX *ctx) {
|
|
static const unsigned kBits = 10;
|
|
|
|
ScopedBIGNUM r(BN_new());
|
|
if (!r || !BN_generate_prime_ex(r.get(), static_cast<int>(kBits), 0, NULL,
|
|
NULL, NULL)) {
|
|
return false;
|
|
}
|
|
if (BN_num_bits(r.get()) != kBits) {
|
|
fprintf(stderr, "Expected %u bit prime, got %u bit number\n", kBits,
|
|
BN_num_bits(r.get()));
|
|
return false;
|
|
}
|
|
|
|
return true;
|
|
}
|