blob: c77e7e4f16bc1e6ff9fa96db460fec87d65c1029 [file] [log] [blame]
/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
* All rights reserved.
*
* This package is an SSL implementation written
* by Eric Young (eay@cryptsoft.com).
* The implementation was written so as to conform with Netscapes SSL.
*
* This library is free for commercial and non-commercial use as long as
* the following conditions are aheared to. The following conditions
* apply to all code found in this distribution, be it the RC4, RSA,
* lhash, DES, etc., code; not just the SSL code. The SSL documentation
* included with this distribution is covered by the same copyright terms
* except that the holder is Tim Hudson (tjh@cryptsoft.com).
*
* Copyright remains Eric Young's, and as such any Copyright notices in
* the code are not to be removed.
* If this package is used in a product, Eric Young should be given attribution
* as the author of the parts of the library used.
* This can be in the form of a textual message at program startup or
* in documentation (online or textual) provided with the package.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. All advertising materials mentioning features or use of this software
* must display the following acknowledgement:
* "This product includes cryptographic software written by
* Eric Young (eay@cryptsoft.com)"
* The word 'cryptographic' can be left out if the rouines from the library
* being used are not cryptographic related :-).
* 4. If you include any Windows specific code (or a derivative thereof) from
* the apps directory (application code) you must include an acknowledgement:
* "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
*
* THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*
* The licence and distribution terms for any publically available version or
* derivative of this code cannot be changed. i.e. this code cannot simply be
* copied and put under another distribution licence
* [including the GNU Public Licence.] */
#include <openssl/dh.h>
#include <stdio.h>
#include <string.h>
#include <vector>
#include <gtest/gtest.h>
#include <openssl/bn.h>
#include <openssl/bytestring.h>
#include <openssl/crypto.h>
#include <openssl/dh.h>
#include <openssl/err.h>
#include <openssl/mem.h>
#include "../internal.h"
static bool RunBasicTests();
static bool TestBadY();
static bool TestASN1();
static bool TestRFC3526();
// TODO(davidben): Convert this file to GTest properly.
TEST(DHTest, AllTests) {
if (!RunBasicTests() ||
!TestBadY() ||
!TestASN1() ||
!TestRFC3526()) {
ADD_FAILURE() << "Tests failed.";
}
}
static int GenerateCallback(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';
}
FILE *out = reinterpret_cast<FILE*>(arg->arg);
fputc(c, out);
fflush(out);
return 1;
}
static bool RunBasicTests() {
BN_GENCB cb;
BN_GENCB_set(&cb, &GenerateCallback, stdout);
bssl::UniquePtr<DH> a(DH_new());
if (!a || !DH_generate_parameters_ex(a.get(), 64, DH_GENERATOR_5, &cb)) {
return false;
}
int check_result;
if (!DH_check(a.get(), &check_result)) {
return false;
}
if (check_result & DH_CHECK_P_NOT_PRIME) {
printf("p value is not prime\n");
}
if (check_result & DH_CHECK_P_NOT_SAFE_PRIME) {
printf("p value is not a safe prime\n");
}
if (check_result & DH_CHECK_UNABLE_TO_CHECK_GENERATOR) {
printf("unable to check the generator value\n");
}
if (check_result & DH_CHECK_NOT_SUITABLE_GENERATOR) {
printf("the g value is not a generator\n");
}
printf("\np = ");
BN_print_fp(stdout, a->p);
printf("\ng = ");
BN_print_fp(stdout, a->g);
printf("\n");
bssl::UniquePtr<DH> b(DH_new());
if (!b) {
return false;
}
b->p = BN_dup(a->p);
b->g = BN_dup(a->g);
if (b->p == nullptr || b->g == nullptr) {
return false;
}
if (!DH_generate_key(a.get())) {
return false;
}
printf("pri1 = ");
BN_print_fp(stdout, a->priv_key);
printf("\npub1 = ");
BN_print_fp(stdout, a->pub_key);
printf("\n");
if (!DH_generate_key(b.get())) {
return false;
}
printf("pri2 = ");
BN_print_fp(stdout, b->priv_key);
printf("\npub2 = ");
BN_print_fp(stdout, b->pub_key);
printf("\n");
std::vector<uint8_t> key1(DH_size(a.get()));
int ret = DH_compute_key(key1.data(), b->pub_key, a.get());
if (ret < 0) {
return false;
}
key1.resize(ret);
printf("key1 = ");
for (size_t i = 0; i < key1.size(); i++) {
printf("%02x", key1[i]);
}
printf("\n");
std::vector<uint8_t> key2(DH_size(b.get()));
ret = DH_compute_key(key2.data(), a->pub_key, b.get());
if (ret < 0) {
return false;
}
key2.resize(ret);
printf("key2 = ");
for (size_t i = 0; i < key2.size(); i++) {
printf("%02x", key2[i]);
}
printf("\n");
if (key1.size() < 4 || key1 != key2) {
fprintf(stderr, "Error in DH routines\n");
return false;
}
return true;
}
// The following parameters are taken from RFC 5114, section 2.2. This is not a
// safe prime. Do not use these parameters.
static const uint8_t kRFC5114_2048_224P[] = {
0xad, 0x10, 0x7e, 0x1e, 0x91, 0x23, 0xa9, 0xd0, 0xd6, 0x60, 0xfa, 0xa7,
0x95, 0x59, 0xc5, 0x1f, 0xa2, 0x0d, 0x64, 0xe5, 0x68, 0x3b, 0x9f, 0xd1,
0xb5, 0x4b, 0x15, 0x97, 0xb6, 0x1d, 0x0a, 0x75, 0xe6, 0xfa, 0x14, 0x1d,
0xf9, 0x5a, 0x56, 0xdb, 0xaf, 0x9a, 0x3c, 0x40, 0x7b, 0xa1, 0xdf, 0x15,
0xeb, 0x3d, 0x68, 0x8a, 0x30, 0x9c, 0x18, 0x0e, 0x1d, 0xe6, 0xb8, 0x5a,
0x12, 0x74, 0xa0, 0xa6, 0x6d, 0x3f, 0x81, 0x52, 0xad, 0x6a, 0xc2, 0x12,
0x90, 0x37, 0xc9, 0xed, 0xef, 0xda, 0x4d, 0xf8, 0xd9, 0x1e, 0x8f, 0xef,
0x55, 0xb7, 0x39, 0x4b, 0x7a, 0xd5, 0xb7, 0xd0, 0xb6, 0xc1, 0x22, 0x07,
0xc9, 0xf9, 0x8d, 0x11, 0xed, 0x34, 0xdb, 0xf6, 0xc6, 0xba, 0x0b, 0x2c,
0x8b, 0xbc, 0x27, 0xbe, 0x6a, 0x00, 0xe0, 0xa0, 0xb9, 0xc4, 0x97, 0x08,
0xb3, 0xbf, 0x8a, 0x31, 0x70, 0x91, 0x88, 0x36, 0x81, 0x28, 0x61, 0x30,
0xbc, 0x89, 0x85, 0xdb, 0x16, 0x02, 0xe7, 0x14, 0x41, 0x5d, 0x93, 0x30,
0x27, 0x82, 0x73, 0xc7, 0xde, 0x31, 0xef, 0xdc, 0x73, 0x10, 0xf7, 0x12,
0x1f, 0xd5, 0xa0, 0x74, 0x15, 0x98, 0x7d, 0x9a, 0xdc, 0x0a, 0x48, 0x6d,
0xcd, 0xf9, 0x3a, 0xcc, 0x44, 0x32, 0x83, 0x87, 0x31, 0x5d, 0x75, 0xe1,
0x98, 0xc6, 0x41, 0xa4, 0x80, 0xcd, 0x86, 0xa1, 0xb9, 0xe5, 0x87, 0xe8,
0xbe, 0x60, 0xe6, 0x9c, 0xc9, 0x28, 0xb2, 0xb9, 0xc5, 0x21, 0x72, 0xe4,
0x13, 0x04, 0x2e, 0x9b, 0x23, 0xf1, 0x0b, 0x0e, 0x16, 0xe7, 0x97, 0x63,
0xc9, 0xb5, 0x3d, 0xcf, 0x4b, 0xa8, 0x0a, 0x29, 0xe3, 0xfb, 0x73, 0xc1,
0x6b, 0x8e, 0x75, 0xb9, 0x7e, 0xf3, 0x63, 0xe2, 0xff, 0xa3, 0x1f, 0x71,
0xcf, 0x9d, 0xe5, 0x38, 0x4e, 0x71, 0xb8, 0x1c, 0x0a, 0xc4, 0xdf, 0xfe,
0x0c, 0x10, 0xe6, 0x4f,
};
static const uint8_t kRFC5114_2048_224G[] = {
0xac, 0x40, 0x32, 0xef, 0x4f, 0x2d, 0x9a, 0xe3, 0x9d, 0xf3, 0x0b, 0x5c,
0x8f, 0xfd, 0xac, 0x50, 0x6c, 0xde, 0xbe, 0x7b, 0x89, 0x99, 0x8c, 0xaf,
0x74, 0x86, 0x6a, 0x08, 0xcf, 0xe4, 0xff, 0xe3, 0xa6, 0x82, 0x4a, 0x4e,
0x10, 0xb9, 0xa6, 0xf0, 0xdd, 0x92, 0x1f, 0x01, 0xa7, 0x0c, 0x4a, 0xfa,
0xab, 0x73, 0x9d, 0x77, 0x00, 0xc2, 0x9f, 0x52, 0xc5, 0x7d, 0xb1, 0x7c,
0x62, 0x0a, 0x86, 0x52, 0xbe, 0x5e, 0x90, 0x01, 0xa8, 0xd6, 0x6a, 0xd7,
0xc1, 0x76, 0x69, 0x10, 0x19, 0x99, 0x02, 0x4a, 0xf4, 0xd0, 0x27, 0x27,
0x5a, 0xc1, 0x34, 0x8b, 0xb8, 0xa7, 0x62, 0xd0, 0x52, 0x1b, 0xc9, 0x8a,
0xe2, 0x47, 0x15, 0x04, 0x22, 0xea, 0x1e, 0xd4, 0x09, 0x93, 0x9d, 0x54,
0xda, 0x74, 0x60, 0xcd, 0xb5, 0xf6, 0xc6, 0xb2, 0x50, 0x71, 0x7c, 0xbe,
0xf1, 0x80, 0xeb, 0x34, 0x11, 0x8e, 0x98, 0xd1, 0x19, 0x52, 0x9a, 0x45,
0xd6, 0xf8, 0x34, 0x56, 0x6e, 0x30, 0x25, 0xe3, 0x16, 0xa3, 0x30, 0xef,
0xbb, 0x77, 0xa8, 0x6f, 0x0c, 0x1a, 0xb1, 0x5b, 0x05, 0x1a, 0xe3, 0xd4,
0x28, 0xc8, 0xf8, 0xac, 0xb7, 0x0a, 0x81, 0x37, 0x15, 0x0b, 0x8e, 0xeb,
0x10, 0xe1, 0x83, 0xed, 0xd1, 0x99, 0x63, 0xdd, 0xd9, 0xe2, 0x63, 0xe4,
0x77, 0x05, 0x89, 0xef, 0x6a, 0xa2, 0x1e, 0x7f, 0x5f, 0x2f, 0xf3, 0x81,
0xb5, 0x39, 0xcc, 0xe3, 0x40, 0x9d, 0x13, 0xcd, 0x56, 0x6a, 0xfb, 0xb4,
0x8d, 0x6c, 0x01, 0x91, 0x81, 0xe1, 0xbc, 0xfe, 0x94, 0xb3, 0x02, 0x69,
0xed, 0xfe, 0x72, 0xfe, 0x9b, 0x6a, 0xa4, 0xbd, 0x7b, 0x5a, 0x0f, 0x1c,
0x71, 0xcf, 0xff, 0x4c, 0x19, 0xc4, 0x18, 0xe1, 0xf6, 0xec, 0x01, 0x79,
0x81, 0xbc, 0x08, 0x7f, 0x2a, 0x70, 0x65, 0xb3, 0x84, 0xb8, 0x90, 0xd3,
0x19, 0x1f, 0x2b, 0xfa,
};
static const uint8_t kRFC5114_2048_224Q[] = {
0x80, 0x1c, 0x0d, 0x34, 0xc5, 0x8d, 0x93, 0xfe, 0x99, 0x71,
0x77, 0x10, 0x1f, 0x80, 0x53, 0x5a, 0x47, 0x38, 0xce, 0xbc,
0xbf, 0x38, 0x9a, 0x99, 0xb3, 0x63, 0x71, 0xeb,
};
// kRFC5114_2048_224BadY is a bad y-coordinate for RFC 5114's 2048-bit MODP
// Group with 224-bit Prime Order Subgroup (section 2.2).
static const uint8_t kRFC5114_2048_224BadY[] = {
0x45, 0x32, 0x5f, 0x51, 0x07, 0xe5, 0xdf, 0x1c, 0xd6, 0x02, 0x82, 0xb3,
0x32, 0x8f, 0xa4, 0x0f, 0x87, 0xb8, 0x41, 0xfe, 0xb9, 0x35, 0xde, 0xad,
0xc6, 0x26, 0x85, 0xb4, 0xff, 0x94, 0x8c, 0x12, 0x4c, 0xbf, 0x5b, 0x20,
0xc4, 0x46, 0xa3, 0x26, 0xeb, 0xa4, 0x25, 0xb7, 0x68, 0x8e, 0xcc, 0x67,
0xba, 0xea, 0x58, 0xd0, 0xf2, 0xe9, 0xd2, 0x24, 0x72, 0x60, 0xda, 0x88,
0x18, 0x9c, 0xe0, 0x31, 0x6a, 0xad, 0x50, 0x6d, 0x94, 0x35, 0x8b, 0x83,
0x4a, 0x6e, 0xfa, 0x48, 0x73, 0x0f, 0x83, 0x87, 0xff, 0x6b, 0x66, 0x1f,
0xa8, 0x82, 0xc6, 0x01, 0xe5, 0x80, 0xb5, 0xb0, 0x52, 0xd0, 0xe9, 0xd8,
0x72, 0xf9, 0x7d, 0x5b, 0x8b, 0xa5, 0x4c, 0xa5, 0x25, 0x95, 0x74, 0xe2,
0x7a, 0x61, 0x4e, 0xa7, 0x8f, 0x12, 0xe2, 0xd2, 0x9d, 0x8c, 0x02, 0x70,
0x34, 0x44, 0x32, 0xc7, 0xb2, 0xf3, 0xb9, 0xfe, 0x17, 0x2b, 0xd6, 0x1f,
0x8b, 0x7e, 0x4a, 0xfa, 0xa3, 0xb5, 0x3e, 0x7a, 0x81, 0x9a, 0x33, 0x66,
0x62, 0xa4, 0x50, 0x18, 0x3e, 0xa2, 0x5f, 0x00, 0x07, 0xd8, 0x9b, 0x22,
0xe4, 0xec, 0x84, 0xd5, 0xeb, 0x5a, 0xf3, 0x2a, 0x31, 0x23, 0xd8, 0x44,
0x22, 0x2a, 0x8b, 0x37, 0x44, 0xcc, 0xc6, 0x87, 0x4b, 0xbe, 0x50, 0x9d,
0x4a, 0xc4, 0x8e, 0x45, 0xcf, 0x72, 0x4d, 0xc0, 0x89, 0xb3, 0x72, 0xed,
0x33, 0x2c, 0xbc, 0x7f, 0x16, 0x39, 0x3b, 0xeb, 0xd2, 0xdd, 0xa8, 0x01,
0x73, 0x84, 0x62, 0xb9, 0x29, 0xd2, 0xc9, 0x51, 0x32, 0x9e, 0x7a, 0x6a,
0xcf, 0xc1, 0x0a, 0xdb, 0x0e, 0xe0, 0x62, 0x77, 0x6f, 0x59, 0x62, 0x72,
0x5a, 0x69, 0xa6, 0x5b, 0x70, 0xca, 0x65, 0xc4, 0x95, 0x6f, 0x9a, 0xc2,
0xdf, 0x72, 0x6d, 0xb1, 0x1e, 0x54, 0x7b, 0x51, 0xb4, 0xef, 0x7f, 0x89,
0x93, 0x74, 0x89, 0x59,
};
static bool TestBadY() {
bssl::UniquePtr<DH> dh(DH_new());
dh->p = BN_bin2bn(kRFC5114_2048_224P, sizeof(kRFC5114_2048_224P), nullptr);
dh->g = BN_bin2bn(kRFC5114_2048_224G, sizeof(kRFC5114_2048_224G), nullptr);
dh->q = BN_bin2bn(kRFC5114_2048_224Q, sizeof(kRFC5114_2048_224Q), nullptr);
if (!dh->p || !dh->g || !dh->q) {
return false;
}
bssl::UniquePtr<BIGNUM> pub_key(
BN_bin2bn(kRFC5114_2048_224BadY, sizeof(kRFC5114_2048_224BadY), nullptr));
if (!dh || !pub_key || !DH_generate_key(dh.get())) {
return false;
}
int flags;
if (!DH_check_pub_key(dh.get(), pub_key.get(), &flags)) {
return false;
}
if (!(flags & DH_CHECK_PUBKEY_INVALID)) {
fprintf(stderr, "DH_check_pub_key did not reject the key.\n");
return false;
}
std::vector<uint8_t> result(DH_size(dh.get()));
if (DH_compute_key(result.data(), pub_key.get(), dh.get()) >= 0) {
fprintf(stderr, "DH_compute_key unexpectedly succeeded.\n");
return false;
}
ERR_clear_error();
return true;
}
static bool BIGNUMEqualsHex(const BIGNUM *bn, const char *hex) {
BIGNUM *hex_bn = NULL;
if (!BN_hex2bn(&hex_bn, hex)) {
return false;
}
bssl::UniquePtr<BIGNUM> free_hex_bn(hex_bn);
return BN_cmp(bn, hex_bn) == 0;
}
static bool TestASN1() {
// kParams are a set of Diffie-Hellman parameters generated with
// openssl dhparam 256
static const uint8_t kParams[] = {
0x30, 0x26, 0x02, 0x21, 0x00, 0xd7, 0x20, 0x34, 0xa3, 0x27,
0x4f, 0xdf, 0xbf, 0x04, 0xfd, 0x24, 0x68, 0x25, 0xb6, 0x56,
0xd8, 0xab, 0x2a, 0x41, 0x2d, 0x74, 0x0a, 0x52, 0x08, 0x7c,
0x40, 0x71, 0x4e, 0xd2, 0x57, 0x93, 0x13, 0x02, 0x01, 0x02,
};
CBS cbs;
CBS_init(&cbs, kParams, sizeof(kParams));
bssl::UniquePtr<DH> dh(DH_parse_parameters(&cbs));
if (!dh || CBS_len(&cbs) != 0 ||
!BIGNUMEqualsHex(
dh->p,
"d72034a3274fdfbf04fd246825b656d8ab2a412d740a52087c40714ed2579313") ||
!BIGNUMEqualsHex(dh->g, "2") || dh->priv_length != 0) {
return false;
}
bssl::ScopedCBB cbb;
uint8_t *der;
size_t der_len;
if (!CBB_init(cbb.get(), 0) ||
!DH_marshal_parameters(cbb.get(), dh.get()) ||
!CBB_finish(cbb.get(), &der, &der_len)) {
return false;
}
bssl::UniquePtr<uint8_t> free_der(der);
if (der_len != sizeof(kParams) ||
OPENSSL_memcmp(der, kParams, der_len) != 0) {
return false;
}
// kParamsDSA are a set of Diffie-Hellman parameters generated with
// openssl dhparam 256 -dsaparam
static const uint8_t kParamsDSA[] = {
0x30, 0x81, 0x89, 0x02, 0x41, 0x00, 0x93, 0xf3, 0xc1, 0x18, 0x01, 0xe6,
0x62, 0xb6, 0xd1, 0x46, 0x9a, 0x2c, 0x72, 0xea, 0x31, 0xd9, 0x18, 0x10,
0x30, 0x28, 0x63, 0xe2, 0x34, 0x7d, 0x80, 0xca, 0xee, 0x82, 0x2b, 0x19,
0x3c, 0x19, 0xbb, 0x42, 0x83, 0x02, 0x70, 0xdd, 0xdb, 0x8c, 0x03, 0xab,
0xe9, 0x9c, 0xc4, 0x00, 0x4d, 0x70, 0x5f, 0x52, 0x03, 0x31, 0x2c, 0xa4,
0x67, 0x34, 0x51, 0x95, 0x2a, 0xac, 0x11, 0xe2, 0x6a, 0x55, 0x02, 0x40,
0x44, 0xc8, 0x10, 0x53, 0x44, 0x32, 0x31, 0x63, 0xd8, 0xd1, 0x8c, 0x75,
0xc8, 0x98, 0x53, 0x3b, 0x5b, 0x4a, 0x2a, 0x0a, 0x09, 0xe7, 0xd0, 0x3c,
0x53, 0x72, 0xa8, 0x6b, 0x70, 0x41, 0x9c, 0x26, 0x71, 0x44, 0xfc, 0x7f,
0x08, 0x75, 0xe1, 0x02, 0xab, 0x74, 0x41, 0xe8, 0x2a, 0x3d, 0x3c, 0x26,
0x33, 0x09, 0xe4, 0x8b, 0xb4, 0x41, 0xec, 0xa6, 0xa8, 0xba, 0x1a, 0x07,
0x8a, 0x77, 0xf5, 0x5f, 0x02, 0x02, 0x00, 0xa0,
};
CBS_init(&cbs, kParamsDSA, sizeof(kParamsDSA));
dh.reset(DH_parse_parameters(&cbs));
if (!dh || CBS_len(&cbs) != 0 ||
!BIGNUMEqualsHex(dh->p,
"93f3c11801e662b6d1469a2c72ea31d91810302863e2347d80caee8"
"22b193c19bb42830270dddb8c03abe99cc4004d705f5203312ca467"
"3451952aac11e26a55") ||
!BIGNUMEqualsHex(dh->g,
"44c8105344323163d8d18c75c898533b5b4a2a0a09e7d03c5372a86"
"b70419c267144fc7f0875e102ab7441e82a3d3c263309e48bb441ec"
"a6a8ba1a078a77f55f") ||
dh->priv_length != 160) {
return false;
}
if (!CBB_init(cbb.get(), 0) ||
!DH_marshal_parameters(cbb.get(), dh.get()) ||
!CBB_finish(cbb.get(), &der, &der_len)) {
return false;
}
bssl::UniquePtr<uint8_t> free_der2(der);
if (der_len != sizeof(kParamsDSA) ||
OPENSSL_memcmp(der, kParamsDSA, der_len) != 0) {
return false;
}
return true;
}
static bool TestRFC3526() {
bssl::UniquePtr<BIGNUM> bn(BN_get_rfc3526_prime_1536(nullptr));
if (!bn) {
return false;
}
static const uint8_t kPrime1536[] = {
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xc9, 0x0f, 0xda, 0xa2,
0x21, 0x68, 0xc2, 0x34, 0xc4, 0xc6, 0x62, 0x8b, 0x80, 0xdc, 0x1c, 0xd1,
0x29, 0x02, 0x4e, 0x08, 0x8a, 0x67, 0xcc, 0x74, 0x02, 0x0b, 0xbe, 0xa6,
0x3b, 0x13, 0x9b, 0x22, 0x51, 0x4a, 0x08, 0x79, 0x8e, 0x34, 0x04, 0xdd,
0xef, 0x95, 0x19, 0xb3, 0xcd, 0x3a, 0x43, 0x1b, 0x30, 0x2b, 0x0a, 0x6d,
0xf2, 0x5f, 0x14, 0x37, 0x4f, 0xe1, 0x35, 0x6d, 0x6d, 0x51, 0xc2, 0x45,
0xe4, 0x85, 0xb5, 0x76, 0x62, 0x5e, 0x7e, 0xc6, 0xf4, 0x4c, 0x42, 0xe9,
0xa6, 0x37, 0xed, 0x6b, 0x0b, 0xff, 0x5c, 0xb6, 0xf4, 0x06, 0xb7, 0xed,
0xee, 0x38, 0x6b, 0xfb, 0x5a, 0x89, 0x9f, 0xa5, 0xae, 0x9f, 0x24, 0x11,
0x7c, 0x4b, 0x1f, 0xe6, 0x49, 0x28, 0x66, 0x51, 0xec, 0xe4, 0x5b, 0x3d,
0xc2, 0x00, 0x7c, 0xb8, 0xa1, 0x63, 0xbf, 0x05, 0x98, 0xda, 0x48, 0x36,
0x1c, 0x55, 0xd3, 0x9a, 0x69, 0x16, 0x3f, 0xa8, 0xfd, 0x24, 0xcf, 0x5f,
0x83, 0x65, 0x5d, 0x23, 0xdc, 0xa3, 0xad, 0x96, 0x1c, 0x62, 0xf3, 0x56,
0x20, 0x85, 0x52, 0xbb, 0x9e, 0xd5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6d,
0x67, 0x0c, 0x35, 0x4e, 0x4a, 0xbc, 0x98, 0x04, 0xf1, 0x74, 0x6c, 0x08,
0xca, 0x23, 0x73, 0x27, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
};
uint8_t buffer[sizeof(kPrime1536)];
if (BN_num_bytes(bn.get()) != sizeof(kPrime1536) ||
BN_bn2bin(bn.get(), buffer) != sizeof(kPrime1536) ||
OPENSSL_memcmp(buffer, kPrime1536, sizeof(kPrime1536)) != 0) {
fprintf(stderr, "1536-bit MODP prime did not match.\n");
return false;
}
return true;
}