exptest.c revision 295016
1/* crypto/bn/exptest.c */ 2/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com) 3 * All rights reserved. 4 * 5 * This package is an SSL implementation written 6 * by Eric Young (eay@cryptsoft.com). 7 * The implementation was written so as to conform with Netscapes SSL. 8 * 9 * This library is free for commercial and non-commercial use as long as 10 * the following conditions are aheared to. The following conditions 11 * apply to all code found in this distribution, be it the RC4, RSA, 12 * lhash, DES, etc., code; not just the SSL code. The SSL documentation 13 * included with this distribution is covered by the same copyright terms 14 * except that the holder is Tim Hudson (tjh@cryptsoft.com). 15 * 16 * Copyright remains Eric Young's, and as such any Copyright notices in 17 * the code are not to be removed. 18 * If this package is used in a product, Eric Young should be given attribution 19 * as the author of the parts of the library used. 20 * This can be in the form of a textual message at program startup or 21 * in documentation (online or textual) provided with the package. 22 * 23 * Redistribution and use in source and binary forms, with or without 24 * modification, are permitted provided that the following conditions 25 * are met: 26 * 1. Redistributions of source code must retain the copyright 27 * notice, this list of conditions and the following disclaimer. 28 * 2. Redistributions in binary form must reproduce the above copyright 29 * notice, this list of conditions and the following disclaimer in the 30 * documentation and/or other materials provided with the distribution. 31 * 3. All advertising materials mentioning features or use of this software 32 * must display the following acknowledgement: 33 * "This product includes cryptographic software written by 34 * Eric Young (eay@cryptsoft.com)" 35 * The word 'cryptographic' can be left out if the rouines from the library 36 * being used are not cryptographic related :-). 37 * 4. If you include any Windows specific code (or a derivative thereof) from 38 * the apps directory (application code) you must include an acknowledgement: 39 * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)" 40 * 41 * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND 42 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 43 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 44 * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE 45 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 46 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 47 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 48 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 49 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 50 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 51 * SUCH DAMAGE. 52 * 53 * The licence and distribution terms for any publically available version or 54 * derivative of this code cannot be changed. i.e. this code cannot simply be 55 * copied and put under another distribution licence 56 * [including the GNU Public Licence.] 57 */ 58 59#include <stdio.h> 60#include <stdlib.h> 61#include <string.h> 62 63#include "../e_os.h" 64 65#include <openssl/bio.h> 66#include <openssl/bn.h> 67#include <openssl/rand.h> 68#include <openssl/err.h> 69 70#define NUM_BITS (BN_BITS*2) 71 72static const char rnd_seed[] = 73 "string to make the random number generator think it has entropy"; 74 75/* 76 * Test that r == 0 in test_exp_mod_zero(). Returns one on success, 77 * returns zero and prints debug output otherwise. 78 */ 79static int a_is_zero_mod_one(const char *method, const BIGNUM *r, 80 const BIGNUM *a) { 81 if (!BN_is_zero(r)) { 82 fprintf(stderr, "%s failed:\n", method); 83 fprintf(stderr, "a ** 0 mod 1 = r (should be 0)\n"); 84 fprintf(stderr, "a = "); 85 BN_print_fp(stderr, a); 86 fprintf(stderr, "\nr = "); 87 BN_print_fp(stderr, r); 88 fprintf(stderr, "\n"); 89 return 0; 90 } 91 return 1; 92} 93 94/* 95 * test_exp_mod_zero tests that x**0 mod 1 == 0. It returns zero on success. 96 */ 97static int test_exp_mod_zero() 98{ 99 BIGNUM a, p, m; 100 BIGNUM r; 101 BN_ULONG one_word = 1; 102 BN_CTX *ctx = BN_CTX_new(); 103 int ret = 1, failed = 0; 104 105 BN_init(&m); 106 BN_one(&m); 107 108 BN_init(&a); 109 BN_one(&a); 110 111 BN_init(&p); 112 BN_zero(&p); 113 114 BN_init(&r); 115 116 if (!BN_rand(&a, 1024, 0, 0)) 117 goto err; 118 119 if (!BN_mod_exp(&r, &a, &p, &m, ctx)) 120 goto err; 121 122 if (!a_is_zero_mod_one("BN_mod_exp", &r, &a)) 123 failed = 1; 124 125 if (!BN_mod_exp_recp(&r, &a, &p, &m, ctx)) 126 goto err; 127 128 if (!a_is_zero_mod_one("BN_mod_exp_recp", &r, &a)) 129 failed = 1; 130 131 if (!BN_mod_exp_simple(&r, &a, &p, &m, ctx)) 132 goto err; 133 134 if (!a_is_zero_mod_one("BN_mod_exp_simple", &r, &a)) 135 failed = 1; 136 137 if (!BN_mod_exp_mont(&r, &a, &p, &m, ctx, NULL)) 138 goto err; 139 140 if (!a_is_zero_mod_one("BN_mod_exp_mont", &r, &a)) 141 failed = 1; 142 143 if (!BN_mod_exp_mont_consttime(&r, &a, &p, &m, ctx, NULL)) { 144 goto err; 145 } 146 147 if (!a_is_zero_mod_one("BN_mod_exp_mont_consttime", &r, &a)) 148 failed = 1; 149 150 /* 151 * A different codepath exists for single word multiplication 152 * in non-constant-time only. 153 */ 154 if (!BN_mod_exp_mont_word(&r, one_word, &p, &m, ctx, NULL)) 155 goto err; 156 157 if (!BN_is_zero(&r)) { 158 fprintf(stderr, "BN_mod_exp_mont_word failed:\n"); 159 fprintf(stderr, "1 ** 0 mod 1 = r (should be 0)\n"); 160 fprintf(stderr, "r = "); 161 BN_print_fp(stderr, &r); 162 fprintf(stderr, "\n"); 163 return 0; 164 } 165 166 ret = failed; 167 168 err: 169 BN_free(&r); 170 BN_free(&a); 171 BN_free(&p); 172 BN_free(&m); 173 BN_CTX_free(ctx); 174 175 return ret; 176} 177 178int main(int argc, char *argv[]) 179{ 180 BN_CTX *ctx; 181 BIO *out = NULL; 182 int i, ret; 183 unsigned char c; 184 BIGNUM *r_mont, *r_mont_const, *r_recp, *r_simple, *a, *b, *m; 185 186 RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_rand may fail, and we 187 * don't even check its return 188 * value (which we should) */ 189 190 ERR_load_BN_strings(); 191 192 ctx = BN_CTX_new(); 193 if (ctx == NULL) 194 EXIT(1); 195 r_mont = BN_new(); 196 r_mont_const = BN_new(); 197 r_recp = BN_new(); 198 r_simple = BN_new(); 199 a = BN_new(); 200 b = BN_new(); 201 m = BN_new(); 202 if ((r_mont == NULL) || (r_recp == NULL) || (a == NULL) || (b == NULL)) 203 goto err; 204 205 out = BIO_new(BIO_s_file()); 206 207 if (out == NULL) 208 EXIT(1); 209 BIO_set_fp(out, stdout, BIO_NOCLOSE); 210 211 for (i = 0; i < 200; i++) { 212 RAND_bytes(&c, 1); 213 c = (c % BN_BITS) - BN_BITS2; 214 BN_rand(a, NUM_BITS + c, 0, 0); 215 216 RAND_bytes(&c, 1); 217 c = (c % BN_BITS) - BN_BITS2; 218 BN_rand(b, NUM_BITS + c, 0, 0); 219 220 RAND_bytes(&c, 1); 221 c = (c % BN_BITS) - BN_BITS2; 222 BN_rand(m, NUM_BITS + c, 0, 1); 223 224 BN_mod(a, a, m, ctx); 225 BN_mod(b, b, m, ctx); 226 227 ret = BN_mod_exp_mont(r_mont, a, b, m, ctx, NULL); 228 if (ret <= 0) { 229 printf("BN_mod_exp_mont() problems\n"); 230 ERR_print_errors(out); 231 EXIT(1); 232 } 233 234 ret = BN_mod_exp_recp(r_recp, a, b, m, ctx); 235 if (ret <= 0) { 236 printf("BN_mod_exp_recp() problems\n"); 237 ERR_print_errors(out); 238 EXIT(1); 239 } 240 241 ret = BN_mod_exp_simple(r_simple, a, b, m, ctx); 242 if (ret <= 0) { 243 printf("BN_mod_exp_simple() problems\n"); 244 ERR_print_errors(out); 245 EXIT(1); 246 } 247 248 ret = BN_mod_exp_mont_consttime(r_mont_const, a, b, m, ctx, NULL); 249 if (ret <= 0) { 250 printf("BN_mod_exp_mont_consttime() problems\n"); 251 ERR_print_errors(out); 252 EXIT(1); 253 } 254 255 if (BN_cmp(r_simple, r_mont) == 0 256 && BN_cmp(r_simple, r_recp) == 0 257 && BN_cmp(r_simple, r_mont_const) == 0) { 258 printf("."); 259 fflush(stdout); 260 } else { 261 if (BN_cmp(r_simple, r_mont) != 0) 262 printf("\nsimple and mont results differ\n"); 263 if (BN_cmp(r_simple, r_mont_const) != 0) 264 printf("\nsimple and mont const time results differ\n"); 265 if (BN_cmp(r_simple, r_recp) != 0) 266 printf("\nsimple and recp results differ\n"); 267 268 printf("a (%3d) = ", BN_num_bits(a)); 269 BN_print(out, a); 270 printf("\nb (%3d) = ", BN_num_bits(b)); 271 BN_print(out, b); 272 printf("\nm (%3d) = ", BN_num_bits(m)); 273 BN_print(out, m); 274 printf("\nsimple ="); 275 BN_print(out, r_simple); 276 printf("\nrecp ="); 277 BN_print(out, r_recp); 278 printf("\nmont ="); 279 BN_print(out, r_mont); 280 printf("\nmont_ct ="); 281 BN_print(out, r_mont_const); 282 printf("\n"); 283 EXIT(1); 284 } 285 } 286 BN_free(r_mont); 287 BN_free(r_mont_const); 288 BN_free(r_recp); 289 BN_free(r_simple); 290 BN_free(a); 291 BN_free(b); 292 BN_free(m); 293 BN_CTX_free(ctx); 294 ERR_remove_thread_state(NULL); 295 CRYPTO_mem_leaks(out); 296 BIO_free(out); 297 printf("\n"); 298 299 if (test_exp_mod_zero() != 0) 300 goto err; 301 302 printf("done\n"); 303 304 EXIT(0); 305 err: 306 ERR_load_crypto_strings(); 307 ERR_print_errors(out); 308#ifdef OPENSSL_SYS_NETWARE 309 printf("ERROR\n"); 310#endif 311 EXIT(1); 312 return (1); 313} 314