diff options
| author | cvs2svn <admin@example.com> | 2001-04-23 15:30:26 +0000 |
|---|---|---|
| committer | cvs2svn <admin@example.com> | 2001-04-23 15:30:26 +0000 |
| commit | 5c517720d5b21a720e400586177c050d4bc95721 (patch) | |
| tree | 34ec35b1061b27f8770c5ac5ee02aad558cbfc90 /src/lib/libcrypto/bn/bn_exp.c | |
| parent | d2092adc32c6de492232ba39518f9091db6bc67f (diff) | |
| download | openbsd-OPENBSD_2_9_BASE.tar.gz openbsd-OPENBSD_2_9_BASE.tar.bz2 openbsd-OPENBSD_2_9_BASE.zip | |
This commit was manufactured by cvs2git to create tag 'OPENBSD_2_9_BASE'.OPENBSD_2_9_BASE
Diffstat (limited to 'src/lib/libcrypto/bn/bn_exp.c')
| -rw-r--r-- | src/lib/libcrypto/bn/bn_exp.c | 696 |
1 files changed, 0 insertions, 696 deletions
diff --git a/src/lib/libcrypto/bn/bn_exp.c b/src/lib/libcrypto/bn/bn_exp.c deleted file mode 100644 index d2c91628ac..0000000000 --- a/src/lib/libcrypto/bn/bn_exp.c +++ /dev/null | |||
| @@ -1,696 +0,0 @@ | |||
| 1 | /* crypto/bn/bn_exp.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 | * Copyright (c) 1998-2000 The OpenSSL Project. All rights reserved. | ||
| 60 | * | ||
| 61 | * Redistribution and use in source and binary forms, with or without | ||
| 62 | * modification, are permitted provided that the following conditions | ||
| 63 | * are met: | ||
| 64 | * | ||
| 65 | * 1. Redistributions of source code must retain the above copyright | ||
| 66 | * notice, this list of conditions and the following disclaimer. | ||
| 67 | * | ||
| 68 | * 2. Redistributions in binary form must reproduce the above copyright | ||
| 69 | * notice, this list of conditions and the following disclaimer in | ||
| 70 | * the documentation and/or other materials provided with the | ||
| 71 | * distribution. | ||
| 72 | * | ||
| 73 | * 3. All advertising materials mentioning features or use of this | ||
| 74 | * software must display the following acknowledgment: | ||
| 75 | * "This product includes software developed by the OpenSSL Project | ||
| 76 | * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" | ||
| 77 | * | ||
| 78 | * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to | ||
| 79 | * endorse or promote products derived from this software without | ||
| 80 | * prior written permission. For written permission, please contact | ||
| 81 | * openssl-core@openssl.org. | ||
| 82 | * | ||
| 83 | * 5. Products derived from this software may not be called "OpenSSL" | ||
| 84 | * nor may "OpenSSL" appear in their names without prior written | ||
| 85 | * permission of the OpenSSL Project. | ||
| 86 | * | ||
| 87 | * 6. Redistributions of any form whatsoever must retain the following | ||
| 88 | * acknowledgment: | ||
| 89 | * "This product includes software developed by the OpenSSL Project | ||
| 90 | * for use in the OpenSSL Toolkit (http://www.openssl.org/)" | ||
| 91 | * | ||
| 92 | * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY | ||
| 93 | * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE | ||
| 94 | * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR | ||
| 95 | * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR | ||
| 96 | * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, | ||
| 97 | * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT | ||
| 98 | * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; | ||
| 99 | * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) | ||
| 100 | * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, | ||
| 101 | * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) | ||
| 102 | * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED | ||
| 103 | * OF THE POSSIBILITY OF SUCH DAMAGE. | ||
| 104 | * ==================================================================== | ||
| 105 | * | ||
| 106 | * This product includes cryptographic software written by Eric Young | ||
| 107 | * (eay@cryptsoft.com). This product includes software written by Tim | ||
| 108 | * Hudson (tjh@cryptsoft.com). | ||
| 109 | * | ||
| 110 | */ | ||
| 111 | |||
| 112 | |||
| 113 | #include <stdio.h> | ||
| 114 | #include "cryptlib.h" | ||
| 115 | #include "bn_lcl.h" | ||
| 116 | |||
| 117 | #define TABLE_SIZE 32 | ||
| 118 | |||
| 119 | /* slow but works */ | ||
| 120 | int BN_mod_mul(BIGNUM *ret, BIGNUM *a, BIGNUM *b, const BIGNUM *m, BN_CTX *ctx) | ||
| 121 | { | ||
| 122 | BIGNUM *t; | ||
| 123 | int r=0; | ||
| 124 | |||
| 125 | bn_check_top(a); | ||
| 126 | bn_check_top(b); | ||
| 127 | bn_check_top(m); | ||
| 128 | |||
| 129 | BN_CTX_start(ctx); | ||
| 130 | if ((t = BN_CTX_get(ctx)) == NULL) goto err; | ||
| 131 | if (a == b) | ||
| 132 | { if (!BN_sqr(t,a,ctx)) goto err; } | ||
| 133 | else | ||
| 134 | { if (!BN_mul(t,a,b,ctx)) goto err; } | ||
| 135 | if (!BN_mod(ret,t,m,ctx)) goto err; | ||
| 136 | r=1; | ||
| 137 | err: | ||
| 138 | BN_CTX_end(ctx); | ||
| 139 | return(r); | ||
| 140 | } | ||
| 141 | |||
| 142 | |||
| 143 | /* this one works - simple but works */ | ||
| 144 | int BN_exp(BIGNUM *r, BIGNUM *a, BIGNUM *p, BN_CTX *ctx) | ||
| 145 | { | ||
| 146 | int i,bits,ret=0; | ||
| 147 | BIGNUM *v,*rr; | ||
| 148 | |||
| 149 | BN_CTX_start(ctx); | ||
| 150 | if ((r == a) || (r == p)) | ||
| 151 | rr = BN_CTX_get(ctx); | ||
| 152 | else | ||
| 153 | rr = r; | ||
| 154 | if ((v = BN_CTX_get(ctx)) == NULL) goto err; | ||
| 155 | |||
| 156 | if (BN_copy(v,a) == NULL) goto err; | ||
| 157 | bits=BN_num_bits(p); | ||
| 158 | |||
| 159 | if (BN_is_odd(p)) | ||
| 160 | { if (BN_copy(rr,a) == NULL) goto err; } | ||
| 161 | else { if (!BN_one(rr)) goto err; } | ||
| 162 | |||
| 163 | for (i=1; i<bits; i++) | ||
| 164 | { | ||
| 165 | if (!BN_sqr(v,v,ctx)) goto err; | ||
| 166 | if (BN_is_bit_set(p,i)) | ||
| 167 | { | ||
| 168 | if (!BN_mul(rr,rr,v,ctx)) goto err; | ||
| 169 | } | ||
| 170 | } | ||
| 171 | ret=1; | ||
| 172 | err: | ||
| 173 | if (r != rr) BN_copy(r,rr); | ||
| 174 | BN_CTX_end(ctx); | ||
| 175 | return(ret); | ||
| 176 | } | ||
| 177 | |||
| 178 | |||
| 179 | int BN_mod_exp(BIGNUM *r, BIGNUM *a, const BIGNUM *p, const BIGNUM *m, | ||
| 180 | BN_CTX *ctx) | ||
| 181 | { | ||
| 182 | int ret; | ||
| 183 | |||
| 184 | bn_check_top(a); | ||
| 185 | bn_check_top(p); | ||
| 186 | bn_check_top(m); | ||
| 187 | |||
| 188 | #ifdef MONT_MUL_MOD | ||
| 189 | /* I have finally been able to take out this pre-condition of | ||
| 190 | * the top bit being set. It was caused by an error in BN_div | ||
| 191 | * with negatives. There was also another problem when for a^b%m | ||
| 192 | * a >= m. eay 07-May-97 */ | ||
| 193 | /* if ((m->d[m->top-1]&BN_TBIT) && BN_is_odd(m)) */ | ||
| 194 | |||
| 195 | if (BN_is_odd(m)) | ||
| 196 | { | ||
| 197 | if (a->top == 1) | ||
| 198 | { | ||
| 199 | BN_ULONG A = a->d[0]; | ||
| 200 | ret=BN_mod_exp_mont_word(r,A,p,m,ctx,NULL); | ||
| 201 | } | ||
| 202 | else | ||
| 203 | ret=BN_mod_exp_mont(r,a,p,m,ctx,NULL); | ||
| 204 | } | ||
| 205 | else | ||
| 206 | #endif | ||
| 207 | #ifdef RECP_MUL_MOD | ||
| 208 | { ret=BN_mod_exp_recp(r,a,p,m,ctx); } | ||
| 209 | #else | ||
| 210 | { ret=BN_mod_exp_simple(r,a,p,m,ctx); } | ||
| 211 | #endif | ||
| 212 | |||
| 213 | return(ret); | ||
| 214 | } | ||
| 215 | |||
| 216 | |||
| 217 | int BN_mod_exp_recp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, | ||
| 218 | const BIGNUM *m, BN_CTX *ctx) | ||
| 219 | { | ||
| 220 | int i,j,bits,ret=0,wstart,wend,window,wvalue; | ||
| 221 | int start=1,ts=0; | ||
| 222 | BIGNUM *aa; | ||
| 223 | BIGNUM val[TABLE_SIZE]; | ||
| 224 | BN_RECP_CTX recp; | ||
| 225 | |||
| 226 | bits=BN_num_bits(p); | ||
| 227 | |||
| 228 | if (bits == 0) | ||
| 229 | { | ||
| 230 | BN_one(r); | ||
| 231 | return(1); | ||
| 232 | } | ||
| 233 | |||
| 234 | BN_CTX_start(ctx); | ||
| 235 | if ((aa = BN_CTX_get(ctx)) == NULL) goto err; | ||
| 236 | |||
| 237 | BN_RECP_CTX_init(&recp); | ||
| 238 | if (BN_RECP_CTX_set(&recp,m,ctx) <= 0) goto err; | ||
| 239 | |||
| 240 | BN_init(&(val[0])); | ||
| 241 | ts=1; | ||
| 242 | |||
| 243 | if (!BN_mod(&(val[0]),a,m,ctx)) goto err; /* 1 */ | ||
| 244 | |||
| 245 | window = BN_window_bits_for_exponent_size(bits); | ||
| 246 | if (window > 1) | ||
| 247 | { | ||
| 248 | if (!BN_mod_mul_reciprocal(aa,&(val[0]),&(val[0]),&recp,ctx)) | ||
| 249 | goto err; /* 2 */ | ||
| 250 | j=1<<(window-1); | ||
| 251 | for (i=1; i<j; i++) | ||
| 252 | { | ||
| 253 | BN_init(&val[i]); | ||
| 254 | if (!BN_mod_mul_reciprocal(&(val[i]),&(val[i-1]),aa,&recp,ctx)) | ||
| 255 | goto err; | ||
| 256 | } | ||
| 257 | ts=i; | ||
| 258 | } | ||
| 259 | |||
| 260 | start=1; /* This is used to avoid multiplication etc | ||
| 261 | * when there is only the value '1' in the | ||
| 262 | * buffer. */ | ||
| 263 | wvalue=0; /* The 'value' of the window */ | ||
| 264 | wstart=bits-1; /* The top bit of the window */ | ||
| 265 | wend=0; /* The bottom bit of the window */ | ||
| 266 | |||
| 267 | if (!BN_one(r)) goto err; | ||
| 268 | |||
| 269 | for (;;) | ||
| 270 | { | ||
| 271 | if (BN_is_bit_set(p,wstart) == 0) | ||
| 272 | { | ||
| 273 | if (!start) | ||
| 274 | if (!BN_mod_mul_reciprocal(r,r,r,&recp,ctx)) | ||
| 275 | goto err; | ||
| 276 | if (wstart == 0) break; | ||
| 277 | wstart--; | ||
| 278 | continue; | ||
| 279 | } | ||
| 280 | /* We now have wstart on a 'set' bit, we now need to work out | ||
| 281 | * how bit a window to do. To do this we need to scan | ||
| 282 | * forward until the last set bit before the end of the | ||
| 283 | * window */ | ||
| 284 | j=wstart; | ||
| 285 | wvalue=1; | ||
| 286 | wend=0; | ||
| 287 | for (i=1; i<window; i++) | ||
| 288 | { | ||
| 289 | if (wstart-i < 0) break; | ||
| 290 | if (BN_is_bit_set(p,wstart-i)) | ||
| 291 | { | ||
| 292 | wvalue<<=(i-wend); | ||
| 293 | wvalue|=1; | ||
| 294 | wend=i; | ||
| 295 | } | ||
| 296 | } | ||
| 297 | |||
| 298 | /* wend is the size of the current window */ | ||
| 299 | j=wend+1; | ||
| 300 | /* add the 'bytes above' */ | ||
| 301 | if (!start) | ||
| 302 | for (i=0; i<j; i++) | ||
| 303 | { | ||
| 304 | if (!BN_mod_mul_reciprocal(r,r,r,&recp,ctx)) | ||
| 305 | goto err; | ||
| 306 | } | ||
| 307 | |||
| 308 | /* wvalue will be an odd number < 2^window */ | ||
| 309 | if (!BN_mod_mul_reciprocal(r,r,&(val[wvalue>>1]),&recp,ctx)) | ||
| 310 | goto err; | ||
| 311 | |||
| 312 | /* move the 'window' down further */ | ||
| 313 | wstart-=wend+1; | ||
| 314 | wvalue=0; | ||
| 315 | start=0; | ||
| 316 | if (wstart < 0) break; | ||
| 317 | } | ||
| 318 | ret=1; | ||
| 319 | err: | ||
| 320 | BN_CTX_end(ctx); | ||
| 321 | for (i=0; i<ts; i++) | ||
| 322 | BN_clear_free(&(val[i])); | ||
| 323 | BN_RECP_CTX_free(&recp); | ||
| 324 | return(ret); | ||
| 325 | } | ||
| 326 | |||
| 327 | |||
| 328 | int BN_mod_exp_mont(BIGNUM *rr, BIGNUM *a, const BIGNUM *p, | ||
| 329 | const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *in_mont) | ||
| 330 | { | ||
| 331 | int i,j,bits,ret=0,wstart,wend,window,wvalue; | ||
| 332 | int start=1,ts=0; | ||
| 333 | BIGNUM *d,*r; | ||
| 334 | BIGNUM *aa; | ||
| 335 | BIGNUM val[TABLE_SIZE]; | ||
| 336 | BN_MONT_CTX *mont=NULL; | ||
| 337 | |||
| 338 | bn_check_top(a); | ||
| 339 | bn_check_top(p); | ||
| 340 | bn_check_top(m); | ||
| 341 | |||
| 342 | if (!(m->d[0] & 1)) | ||
| 343 | { | ||
| 344 | BNerr(BN_F_BN_MOD_EXP_MONT,BN_R_CALLED_WITH_EVEN_MODULUS); | ||
| 345 | return(0); | ||
| 346 | } | ||
| 347 | bits=BN_num_bits(p); | ||
| 348 | if (bits == 0) | ||
| 349 | { | ||
| 350 | BN_one(rr); | ||
| 351 | return(1); | ||
| 352 | } | ||
| 353 | BN_CTX_start(ctx); | ||
| 354 | d = BN_CTX_get(ctx); | ||
| 355 | r = BN_CTX_get(ctx); | ||
| 356 | if (d == NULL || r == NULL) goto err; | ||
| 357 | |||
| 358 | /* If this is not done, things will break in the montgomery | ||
| 359 | * part */ | ||
| 360 | |||
| 361 | if (in_mont != NULL) | ||
| 362 | mont=in_mont; | ||
| 363 | else | ||
| 364 | { | ||
| 365 | if ((mont=BN_MONT_CTX_new()) == NULL) goto err; | ||
| 366 | if (!BN_MONT_CTX_set(mont,m,ctx)) goto err; | ||
| 367 | } | ||
| 368 | |||
| 369 | BN_init(&val[0]); | ||
| 370 | ts=1; | ||
| 371 | if (BN_ucmp(a,m) >= 0) | ||
| 372 | { | ||
| 373 | if (!BN_mod(&(val[0]),a,m,ctx)) | ||
| 374 | goto err; | ||
| 375 | aa= &(val[0]); | ||
| 376 | } | ||
| 377 | else | ||
| 378 | aa=a; | ||
| 379 | if (!BN_to_montgomery(&(val[0]),aa,mont,ctx)) goto err; /* 1 */ | ||
| 380 | |||
| 381 | window = BN_window_bits_for_exponent_size(bits); | ||
| 382 | if (window > 1) | ||
| 383 | { | ||
| 384 | if (!BN_mod_mul_montgomery(d,&(val[0]),&(val[0]),mont,ctx)) goto err; /* 2 */ | ||
| 385 | j=1<<(window-1); | ||
| 386 | for (i=1; i<j; i++) | ||
| 387 | { | ||
| 388 | BN_init(&(val[i])); | ||
| 389 | if (!BN_mod_mul_montgomery(&(val[i]),&(val[i-1]),d,mont,ctx)) | ||
| 390 | goto err; | ||
| 391 | } | ||
| 392 | ts=i; | ||
| 393 | } | ||
| 394 | |||
| 395 | start=1; /* This is used to avoid multiplication etc | ||
| 396 | * when there is only the value '1' in the | ||
| 397 | * buffer. */ | ||
| 398 | wvalue=0; /* The 'value' of the window */ | ||
| 399 | wstart=bits-1; /* The top bit of the window */ | ||
| 400 | wend=0; /* The bottom bit of the window */ | ||
| 401 | |||
| 402 | if (!BN_to_montgomery(r,BN_value_one(),mont,ctx)) goto err; | ||
| 403 | for (;;) | ||
| 404 | { | ||
| 405 | if (BN_is_bit_set(p,wstart) == 0) | ||
| 406 | { | ||
| 407 | if (!start) | ||
| 408 | { | ||
| 409 | if (!BN_mod_mul_montgomery(r,r,r,mont,ctx)) | ||
| 410 | goto err; | ||
| 411 | } | ||
| 412 | if (wstart == 0) break; | ||
| 413 | wstart--; | ||
| 414 | continue; | ||
| 415 | } | ||
| 416 | /* We now have wstart on a 'set' bit, we now need to work out | ||
| 417 | * how bit a window to do. To do this we need to scan | ||
| 418 | * forward until the last set bit before the end of the | ||
| 419 | * window */ | ||
| 420 | j=wstart; | ||
| 421 | wvalue=1; | ||
| 422 | wend=0; | ||
| 423 | for (i=1; i<window; i++) | ||
| 424 | { | ||
| 425 | if (wstart-i < 0) break; | ||
| 426 | if (BN_is_bit_set(p,wstart-i)) | ||
| 427 | { | ||
| 428 | wvalue<<=(i-wend); | ||
| 429 | wvalue|=1; | ||
| 430 | wend=i; | ||
| 431 | } | ||
| 432 | } | ||
| 433 | |||
| 434 | /* wend is the size of the current window */ | ||
| 435 | j=wend+1; | ||
| 436 | /* add the 'bytes above' */ | ||
| 437 | if (!start) | ||
| 438 | for (i=0; i<j; i++) | ||
| 439 | { | ||
| 440 | if (!BN_mod_mul_montgomery(r,r,r,mont,ctx)) | ||
| 441 | goto err; | ||
| 442 | } | ||
| 443 | |||
| 444 | /* wvalue will be an odd number < 2^window */ | ||
| 445 | if (!BN_mod_mul_montgomery(r,r,&(val[wvalue>>1]),mont,ctx)) | ||
| 446 | goto err; | ||
| 447 | |||
| 448 | /* move the 'window' down further */ | ||
| 449 | wstart-=wend+1; | ||
| 450 | wvalue=0; | ||
| 451 | start=0; | ||
| 452 | if (wstart < 0) break; | ||
| 453 | } | ||
| 454 | if (!BN_from_montgomery(rr,r,mont,ctx)) goto err; | ||
| 455 | ret=1; | ||
| 456 | err: | ||
| 457 | if ((in_mont == NULL) && (mont != NULL)) BN_MONT_CTX_free(mont); | ||
| 458 | BN_CTX_end(ctx); | ||
| 459 | for (i=0; i<ts; i++) | ||
| 460 | BN_clear_free(&(val[i])); | ||
| 461 | return(ret); | ||
| 462 | } | ||
| 463 | |||
| 464 | int BN_mod_exp_mont_word(BIGNUM *rr, BN_ULONG a, const BIGNUM *p, | ||
| 465 | const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *in_mont) | ||
| 466 | { | ||
| 467 | BN_MONT_CTX *mont = NULL; | ||
| 468 | int b, bits, ret=0; | ||
| 469 | int r_is_one; | ||
| 470 | BN_ULONG w, next_w; | ||
| 471 | BIGNUM *d, *r, *t; | ||
| 472 | BIGNUM *swap_tmp; | ||
| 473 | #define BN_MOD_MUL_WORD(r, w, m) \ | ||
| 474 | (BN_mul_word(r, (w)) && \ | ||
| 475 | (/* BN_ucmp(r, (m)) < 0 ? 1 :*/ \ | ||
| 476 | (BN_mod(t, r, m, ctx) && (swap_tmp = r, r = t, t = swap_tmp, 1)))) | ||
| 477 | /* BN_MOD_MUL_WORD is only used with 'w' large, | ||
| 478 | * so the BN_ucmp test is probably more overhead | ||
| 479 | * than always using BN_mod (which uses BN_copy if | ||
| 480 | * a similar test returns true). */ | ||
| 481 | #define BN_TO_MONTGOMERY_WORD(r, w, mont) \ | ||
| 482 | (BN_set_word(r, (w)) && BN_to_montgomery(r, r, (mont), ctx)) | ||
| 483 | |||
| 484 | bn_check_top(p); | ||
| 485 | bn_check_top(m); | ||
| 486 | |||
| 487 | if (!(m->d[0] & 1)) | ||
| 488 | { | ||
| 489 | BNerr(BN_F_BN_MOD_EXP_MONT_WORD,BN_R_CALLED_WITH_EVEN_MODULUS); | ||
| 490 | return(0); | ||
| 491 | } | ||
| 492 | bits = BN_num_bits(p); | ||
| 493 | if (bits == 0) | ||
| 494 | { | ||
| 495 | BN_one(rr); | ||
| 496 | return(1); | ||
| 497 | } | ||
| 498 | BN_CTX_start(ctx); | ||
| 499 | d = BN_CTX_get(ctx); | ||
| 500 | r = BN_CTX_get(ctx); | ||
| 501 | t = BN_CTX_get(ctx); | ||
| 502 | if (d == NULL || r == NULL || t == NULL) goto err; | ||
| 503 | |||
| 504 | if (in_mont != NULL) | ||
| 505 | mont=in_mont; | ||
| 506 | else | ||
| 507 | { | ||
| 508 | if ((mont = BN_MONT_CTX_new()) == NULL) goto err; | ||
| 509 | if (!BN_MONT_CTX_set(mont, m, ctx)) goto err; | ||
| 510 | } | ||
| 511 | |||
| 512 | r_is_one = 1; /* except for Montgomery factor */ | ||
| 513 | |||
| 514 | /* bits-1 >= 0 */ | ||
| 515 | |||
| 516 | /* The result is accumulated in the product r*w. */ | ||
| 517 | w = a; /* bit 'bits-1' of 'p' is always set */ | ||
| 518 | for (b = bits-2; b >= 0; b--) | ||
| 519 | { | ||
| 520 | /* First, square r*w. */ | ||
| 521 | next_w = w*w; | ||
| 522 | if ((next_w/w) != w) /* overflow */ | ||
| 523 | { | ||
| 524 | if (r_is_one) | ||
| 525 | { | ||
| 526 | if (!BN_TO_MONTGOMERY_WORD(r, w, mont)) goto err; | ||
| 527 | r_is_one = 0; | ||
| 528 | } | ||
| 529 | else | ||
| 530 | { | ||
| 531 | if (!BN_MOD_MUL_WORD(r, w, m)) goto err; | ||
| 532 | } | ||
| 533 | next_w = 1; | ||
| 534 | } | ||
| 535 | w = next_w; | ||
| 536 | if (!r_is_one) | ||
| 537 | { | ||
| 538 | if (!BN_mod_mul_montgomery(r, r, r, mont, ctx)) goto err; | ||
| 539 | } | ||
| 540 | |||
| 541 | /* Second, multiply r*w by 'a' if exponent bit is set. */ | ||
| 542 | if (BN_is_bit_set(p, b)) | ||
| 543 | { | ||
| 544 | next_w = w*a; | ||
| 545 | if ((next_w/a) != w) /* overflow */ | ||
| 546 | { | ||
| 547 | if (r_is_one) | ||
| 548 | { | ||
| 549 | if (!BN_TO_MONTGOMERY_WORD(r, w, mont)) goto err; | ||
| 550 | r_is_one = 0; | ||
| 551 | } | ||
| 552 | else | ||
| 553 | { | ||
| 554 | if (!BN_MOD_MUL_WORD(r, w, m)) goto err; | ||
| 555 | } | ||
| 556 | next_w = a; | ||
| 557 | } | ||
| 558 | w = next_w; | ||
| 559 | } | ||
| 560 | } | ||
| 561 | |||
| 562 | /* Finally, set r:=r*w. */ | ||
| 563 | if (w != 1) | ||
| 564 | { | ||
| 565 | if (r_is_one) | ||
| 566 | { | ||
| 567 | if (!BN_TO_MONTGOMERY_WORD(r, w, mont)) goto err; | ||
| 568 | r_is_one = 0; | ||
| 569 | } | ||
| 570 | else | ||
| 571 | { | ||
| 572 | if (!BN_MOD_MUL_WORD(r, w, m)) goto err; | ||
| 573 | } | ||
| 574 | } | ||
| 575 | |||
| 576 | if (r_is_one) /* can happen only if a == 1*/ | ||
| 577 | { | ||
| 578 | if (!BN_one(rr)) goto err; | ||
| 579 | } | ||
| 580 | else | ||
| 581 | { | ||
| 582 | if (!BN_from_montgomery(rr, r, mont, ctx)) goto err; | ||
| 583 | } | ||
| 584 | ret = 1; | ||
| 585 | err: | ||
| 586 | if ((in_mont == NULL) && (mont != NULL)) BN_MONT_CTX_free(mont); | ||
| 587 | BN_CTX_end(ctx); | ||
| 588 | return(ret); | ||
| 589 | } | ||
| 590 | |||
| 591 | |||
| 592 | /* The old fallback, simple version :-) */ | ||
| 593 | int BN_mod_exp_simple(BIGNUM *r, BIGNUM *a, BIGNUM *p, BIGNUM *m, | ||
| 594 | BN_CTX *ctx) | ||
| 595 | { | ||
| 596 | int i,j,bits,ret=0,wstart,wend,window,wvalue,ts=0; | ||
| 597 | int start=1; | ||
| 598 | BIGNUM *d; | ||
| 599 | BIGNUM val[TABLE_SIZE]; | ||
| 600 | |||
| 601 | bits=BN_num_bits(p); | ||
| 602 | |||
| 603 | if (bits == 0) | ||
| 604 | { | ||
| 605 | BN_one(r); | ||
| 606 | return(1); | ||
| 607 | } | ||
| 608 | |||
| 609 | BN_CTX_start(ctx); | ||
| 610 | if ((d = BN_CTX_get(ctx)) == NULL) goto err; | ||
| 611 | |||
| 612 | BN_init(&(val[0])); | ||
| 613 | ts=1; | ||
| 614 | if (!BN_mod(&(val[0]),a,m,ctx)) goto err; /* 1 */ | ||
| 615 | |||
| 616 | window = BN_window_bits_for_exponent_size(bits); | ||
| 617 | if (window > 1) | ||
| 618 | { | ||
| 619 | if (!BN_mod_mul(d,&(val[0]),&(val[0]),m,ctx)) | ||
| 620 | goto err; /* 2 */ | ||
| 621 | j=1<<(window-1); | ||
| 622 | for (i=1; i<j; i++) | ||
| 623 | { | ||
| 624 | BN_init(&(val[i])); | ||
| 625 | if (!BN_mod_mul(&(val[i]),&(val[i-1]),d,m,ctx)) | ||
| 626 | goto err; | ||
| 627 | } | ||
| 628 | ts=i; | ||
| 629 | } | ||
| 630 | |||
| 631 | start=1; /* This is used to avoid multiplication etc | ||
| 632 | * when there is only the value '1' in the | ||
| 633 | * buffer. */ | ||
| 634 | wvalue=0; /* The 'value' of the window */ | ||
| 635 | wstart=bits-1; /* The top bit of the window */ | ||
| 636 | wend=0; /* The bottom bit of the window */ | ||
| 637 | |||
| 638 | if (!BN_one(r)) goto err; | ||
| 639 | |||
| 640 | for (;;) | ||
| 641 | { | ||
| 642 | if (BN_is_bit_set(p,wstart) == 0) | ||
| 643 | { | ||
| 644 | if (!start) | ||
| 645 | if (!BN_mod_mul(r,r,r,m,ctx)) | ||
| 646 | goto err; | ||
| 647 | if (wstart == 0) break; | ||
| 648 | wstart--; | ||
| 649 | continue; | ||
| 650 | } | ||
| 651 | /* We now have wstart on a 'set' bit, we now need to work out | ||
| 652 | * how bit a window to do. To do this we need to scan | ||
| 653 | * forward until the last set bit before the end of the | ||
| 654 | * window */ | ||
| 655 | j=wstart; | ||
| 656 | wvalue=1; | ||
| 657 | wend=0; | ||
| 658 | for (i=1; i<window; i++) | ||
| 659 | { | ||
| 660 | if (wstart-i < 0) break; | ||
| 661 | if (BN_is_bit_set(p,wstart-i)) | ||
| 662 | { | ||
| 663 | wvalue<<=(i-wend); | ||
| 664 | wvalue|=1; | ||
| 665 | wend=i; | ||
| 666 | } | ||
| 667 | } | ||
| 668 | |||
| 669 | /* wend is the size of the current window */ | ||
| 670 | j=wend+1; | ||
| 671 | /* add the 'bytes above' */ | ||
| 672 | if (!start) | ||
| 673 | for (i=0; i<j; i++) | ||
| 674 | { | ||
| 675 | if (!BN_mod_mul(r,r,r,m,ctx)) | ||
| 676 | goto err; | ||
| 677 | } | ||
| 678 | |||
| 679 | /* wvalue will be an odd number < 2^window */ | ||
| 680 | if (!BN_mod_mul(r,r,&(val[wvalue>>1]),m,ctx)) | ||
| 681 | goto err; | ||
| 682 | |||
| 683 | /* move the 'window' down further */ | ||
| 684 | wstart-=wend+1; | ||
| 685 | wvalue=0; | ||
| 686 | start=0; | ||
| 687 | if (wstart < 0) break; | ||
| 688 | } | ||
| 689 | ret=1; | ||
| 690 | err: | ||
| 691 | BN_CTX_end(ctx); | ||
| 692 | for (i=0; i<ts; i++) | ||
| 693 | BN_clear_free(&(val[i])); | ||
| 694 | return(ret); | ||
| 695 | } | ||
| 696 | |||
