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| author | djm <> | 2008-09-06 12:17:54 +0000 |
|---|---|---|
| committer | djm <> | 2008-09-06 12:17:54 +0000 |
| commit | 6b62d1fdd8a4fd35acfcc0c4bb1bf8b757fa8cda (patch) | |
| tree | 7ccc28afe1789ea3dbedf72365f955d5b8e105b5 /src/lib/libcrypto/bn/bn_div.c | |
| parent | 89181603212b41e95cde36b1be5a146ce8fb2935 (diff) | |
| download | openbsd-6b62d1fdd8a4fd35acfcc0c4bb1bf8b757fa8cda.tar.gz openbsd-6b62d1fdd8a4fd35acfcc0c4bb1bf8b757fa8cda.tar.bz2 openbsd-6b62d1fdd8a4fd35acfcc0c4bb1bf8b757fa8cda.zip | |
resolve conflicts
Diffstat (limited to 'src/lib/libcrypto/bn/bn_div.c')
| -rw-r--r-- | src/lib/libcrypto/bn/bn_div.c | 299 |
1 files changed, 272 insertions, 27 deletions
diff --git a/src/lib/libcrypto/bn/bn_div.c b/src/lib/libcrypto/bn/bn_div.c index 580d1201bc..8655eb118e 100644 --- a/src/lib/libcrypto/bn/bn_div.c +++ b/src/lib/libcrypto/bn/bn_div.c | |||
| @@ -169,22 +169,31 @@ int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d, | |||
| 169 | #endif /* OPENSSL_NO_ASM */ | 169 | #endif /* OPENSSL_NO_ASM */ |
| 170 | 170 | ||
| 171 | 171 | ||
| 172 | /* BN_div computes dv := num / divisor, rounding towards zero, and sets up | 172 | /* BN_div[_no_branch] computes dv := num / divisor, rounding towards |
| 173 | * rm such that dv*divisor + rm = num holds. | 173 | * zero, and sets up rm such that dv*divisor + rm = num holds. |
| 174 | * Thus: | 174 | * Thus: |
| 175 | * dv->neg == num->neg ^ divisor->neg (unless the result is zero) | 175 | * dv->neg == num->neg ^ divisor->neg (unless the result is zero) |
| 176 | * rm->neg == num->neg (unless the remainder is zero) | 176 | * rm->neg == num->neg (unless the remainder is zero) |
| 177 | * If 'dv' or 'rm' is NULL, the respective value is not returned. | 177 | * If 'dv' or 'rm' is NULL, the respective value is not returned. |
| 178 | */ | 178 | */ |
| 179 | static int BN_div_no_branch(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num, | ||
| 180 | const BIGNUM *divisor, BN_CTX *ctx); | ||
| 179 | int BN_div(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num, const BIGNUM *divisor, | 181 | int BN_div(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num, const BIGNUM *divisor, |
| 180 | BN_CTX *ctx) | 182 | BN_CTX *ctx) |
| 181 | { | 183 | { |
| 182 | int norm_shift,i,j,loop; | 184 | int norm_shift,i,loop; |
| 183 | BIGNUM *tmp,wnum,*snum,*sdiv,*res; | 185 | BIGNUM *tmp,wnum,*snum,*sdiv,*res; |
| 184 | BN_ULONG *resp,*wnump; | 186 | BN_ULONG *resp,*wnump; |
| 185 | BN_ULONG d0,d1; | 187 | BN_ULONG d0,d1; |
| 186 | int num_n,div_n; | 188 | int num_n,div_n; |
| 187 | 189 | ||
| 190 | if ((BN_get_flags(num, BN_FLG_CONSTTIME) != 0) || (BN_get_flags(divisor, BN_FLG_CONSTTIME) != 0)) | ||
| 191 | { | ||
| 192 | return BN_div_no_branch(dv, rm, num, divisor, ctx); | ||
| 193 | } | ||
| 194 | |||
| 195 | bn_check_top(dv); | ||
| 196 | bn_check_top(rm); | ||
| 188 | bn_check_top(num); | 197 | bn_check_top(num); |
| 189 | bn_check_top(divisor); | 198 | bn_check_top(divisor); |
| 190 | 199 | ||
| @@ -210,7 +219,6 @@ int BN_div(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num, const BIGNUM *divisor, | |||
| 210 | res=BN_CTX_get(ctx); | 219 | res=BN_CTX_get(ctx); |
| 211 | else res=dv; | 220 | else res=dv; |
| 212 | if (sdiv == NULL || res == NULL) goto err; | 221 | if (sdiv == NULL || res == NULL) goto err; |
| 213 | tmp->neg=0; | ||
| 214 | 222 | ||
| 215 | /* First we normalise the numbers */ | 223 | /* First we normalise the numbers */ |
| 216 | norm_shift=BN_BITS2-((BN_num_bits(divisor))%BN_BITS2); | 224 | norm_shift=BN_BITS2-((BN_num_bits(divisor))%BN_BITS2); |
| @@ -222,17 +230,17 @@ int BN_div(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num, const BIGNUM *divisor, | |||
| 222 | div_n=sdiv->top; | 230 | div_n=sdiv->top; |
| 223 | num_n=snum->top; | 231 | num_n=snum->top; |
| 224 | loop=num_n-div_n; | 232 | loop=num_n-div_n; |
| 225 | |||
| 226 | /* Lets setup a 'window' into snum | 233 | /* Lets setup a 'window' into snum |
| 227 | * This is the part that corresponds to the current | 234 | * This is the part that corresponds to the current |
| 228 | * 'area' being divided */ | 235 | * 'area' being divided */ |
| 229 | BN_init(&wnum); | 236 | wnum.neg = 0; |
| 230 | wnum.d= &(snum->d[loop]); | 237 | wnum.d = &(snum->d[loop]); |
| 231 | wnum.top= div_n; | 238 | wnum.top = div_n; |
| 232 | wnum.dmax= snum->dmax+1; /* a bit of a lie */ | 239 | /* only needed when BN_ucmp messes up the values between top and max */ |
| 240 | wnum.dmax = snum->dmax - loop; /* so we don't step out of bounds */ | ||
| 233 | 241 | ||
| 234 | /* Get the top 2 words of sdiv */ | 242 | /* Get the top 2 words of sdiv */ |
| 235 | /* i=sdiv->top; */ | 243 | /* div_n=sdiv->top; */ |
| 236 | d0=sdiv->d[div_n-1]; | 244 | d0=sdiv->d[div_n-1]; |
| 237 | d1=(div_n == 1)?0:sdiv->d[div_n-2]; | 245 | d1=(div_n == 1)?0:sdiv->d[div_n-2]; |
| 238 | 246 | ||
| @@ -250,19 +258,28 @@ int BN_div(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num, const BIGNUM *divisor, | |||
| 250 | 258 | ||
| 251 | if (BN_ucmp(&wnum,sdiv) >= 0) | 259 | if (BN_ucmp(&wnum,sdiv) >= 0) |
| 252 | { | 260 | { |
| 253 | if (!BN_usub(&wnum,&wnum,sdiv)) goto err; | 261 | /* If BN_DEBUG_RAND is defined BN_ucmp changes (via |
| 262 | * bn_pollute) the const bignum arguments => | ||
| 263 | * clean the values between top and max again */ | ||
| 264 | bn_clear_top2max(&wnum); | ||
| 265 | bn_sub_words(wnum.d, wnum.d, sdiv->d, div_n); | ||
| 254 | *resp=1; | 266 | *resp=1; |
| 255 | res->d[res->top-1]=1; | ||
| 256 | } | 267 | } |
| 257 | else | 268 | else |
| 258 | res->top--; | 269 | res->top--; |
| 270 | /* if res->top == 0 then clear the neg value otherwise decrease | ||
| 271 | * the resp pointer */ | ||
| 259 | if (res->top == 0) | 272 | if (res->top == 0) |
| 260 | res->neg = 0; | 273 | res->neg = 0; |
| 261 | resp--; | 274 | else |
| 275 | resp--; | ||
| 262 | 276 | ||
| 263 | for (i=0; i<loop-1; i++) | 277 | for (i=0; i<loop-1; i++, wnump--, resp--) |
| 264 | { | 278 | { |
| 265 | BN_ULONG q,l0; | 279 | BN_ULONG q,l0; |
| 280 | /* the first part of the loop uses the top two words of | ||
| 281 | * snum and sdiv to calculate a BN_ULONG q such that | ||
| 282 | * | wnum - sdiv * q | < sdiv */ | ||
| 266 | #if defined(BN_DIV3W) && !defined(OPENSSL_NO_ASM) | 283 | #if defined(BN_DIV3W) && !defined(OPENSSL_NO_ASM) |
| 267 | BN_ULONG bn_div_3_words(BN_ULONG*,BN_ULONG,BN_ULONG); | 284 | BN_ULONG bn_div_3_words(BN_ULONG*,BN_ULONG,BN_ULONG); |
| 268 | q=bn_div_3_words(wnump,d1,d0); | 285 | q=bn_div_3_words(wnump,d1,d0); |
| @@ -346,27 +363,252 @@ X) -> 0x%08X\n", | |||
| 346 | #endif /* !BN_DIV3W */ | 363 | #endif /* !BN_DIV3W */ |
| 347 | 364 | ||
| 348 | l0=bn_mul_words(tmp->d,sdiv->d,div_n,q); | 365 | l0=bn_mul_words(tmp->d,sdiv->d,div_n,q); |
| 349 | wnum.d--; wnum.top++; | ||
| 350 | tmp->d[div_n]=l0; | 366 | tmp->d[div_n]=l0; |
| 351 | for (j=div_n+1; j>0; j--) | 367 | wnum.d--; |
| 352 | if (tmp->d[j-1]) break; | 368 | /* ingore top values of the bignums just sub the two |
| 353 | tmp->top=j; | 369 | * BN_ULONG arrays with bn_sub_words */ |
| 370 | if (bn_sub_words(wnum.d, wnum.d, tmp->d, div_n+1)) | ||
| 371 | { | ||
| 372 | /* Note: As we have considered only the leading | ||
| 373 | * two BN_ULONGs in the calculation of q, sdiv * q | ||
| 374 | * might be greater than wnum (but then (q-1) * sdiv | ||
| 375 | * is less or equal than wnum) | ||
| 376 | */ | ||
| 377 | q--; | ||
| 378 | if (bn_add_words(wnum.d, wnum.d, sdiv->d, div_n)) | ||
| 379 | /* we can't have an overflow here (assuming | ||
| 380 | * that q != 0, but if q == 0 then tmp is | ||
| 381 | * zero anyway) */ | ||
| 382 | (*wnump)++; | ||
| 383 | } | ||
| 384 | /* store part of the result */ | ||
| 385 | *resp = q; | ||
| 386 | } | ||
| 387 | bn_correct_top(snum); | ||
| 388 | if (rm != NULL) | ||
| 389 | { | ||
| 390 | /* Keep a copy of the neg flag in num because if rm==num | ||
| 391 | * BN_rshift() will overwrite it. | ||
| 392 | */ | ||
| 393 | int neg = num->neg; | ||
| 394 | BN_rshift(rm,snum,norm_shift); | ||
| 395 | if (!BN_is_zero(rm)) | ||
| 396 | rm->neg = neg; | ||
| 397 | bn_check_top(rm); | ||
| 398 | } | ||
| 399 | BN_CTX_end(ctx); | ||
| 400 | return(1); | ||
| 401 | err: | ||
| 402 | bn_check_top(rm); | ||
| 403 | BN_CTX_end(ctx); | ||
| 404 | return(0); | ||
| 405 | } | ||
| 406 | |||
| 407 | |||
| 408 | /* BN_div_no_branch is a special version of BN_div. It does not contain | ||
| 409 | * branches that may leak sensitive information. | ||
| 410 | */ | ||
| 411 | static int BN_div_no_branch(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num, | ||
| 412 | const BIGNUM *divisor, BN_CTX *ctx) | ||
| 413 | { | ||
| 414 | int norm_shift,i,loop; | ||
| 415 | BIGNUM *tmp,wnum,*snum,*sdiv,*res; | ||
| 416 | BN_ULONG *resp,*wnump; | ||
| 417 | BN_ULONG d0,d1; | ||
| 418 | int num_n,div_n; | ||
| 419 | |||
| 420 | bn_check_top(dv); | ||
| 421 | bn_check_top(rm); | ||
| 422 | bn_check_top(num); | ||
| 423 | bn_check_top(divisor); | ||
| 424 | |||
| 425 | if (BN_is_zero(divisor)) | ||
| 426 | { | ||
| 427 | BNerr(BN_F_BN_DIV_NO_BRANCH,BN_R_DIV_BY_ZERO); | ||
| 428 | return(0); | ||
| 429 | } | ||
| 430 | |||
| 431 | BN_CTX_start(ctx); | ||
| 432 | tmp=BN_CTX_get(ctx); | ||
| 433 | snum=BN_CTX_get(ctx); | ||
| 434 | sdiv=BN_CTX_get(ctx); | ||
| 435 | if (dv == NULL) | ||
| 436 | res=BN_CTX_get(ctx); | ||
| 437 | else res=dv; | ||
| 438 | if (sdiv == NULL || res == NULL) goto err; | ||
| 439 | |||
| 440 | /* First we normalise the numbers */ | ||
| 441 | norm_shift=BN_BITS2-((BN_num_bits(divisor))%BN_BITS2); | ||
| 442 | if (!(BN_lshift(sdiv,divisor,norm_shift))) goto err; | ||
| 443 | sdiv->neg=0; | ||
| 444 | norm_shift+=BN_BITS2; | ||
| 445 | if (!(BN_lshift(snum,num,norm_shift))) goto err; | ||
| 446 | snum->neg=0; | ||
| 447 | |||
| 448 | /* Since we don't know whether snum is larger than sdiv, | ||
| 449 | * we pad snum with enough zeroes without changing its | ||
| 450 | * value. | ||
| 451 | */ | ||
| 452 | if (snum->top <= sdiv->top+1) | ||
| 453 | { | ||
| 454 | if (bn_wexpand(snum, sdiv->top + 2) == NULL) goto err; | ||
| 455 | for (i = snum->top; i < sdiv->top + 2; i++) snum->d[i] = 0; | ||
| 456 | snum->top = sdiv->top + 2; | ||
| 457 | } | ||
| 458 | else | ||
| 459 | { | ||
| 460 | if (bn_wexpand(snum, snum->top + 1) == NULL) goto err; | ||
| 461 | snum->d[snum->top] = 0; | ||
| 462 | snum->top ++; | ||
| 463 | } | ||
| 464 | |||
| 465 | div_n=sdiv->top; | ||
| 466 | num_n=snum->top; | ||
| 467 | loop=num_n-div_n; | ||
| 468 | /* Lets setup a 'window' into snum | ||
| 469 | * This is the part that corresponds to the current | ||
| 470 | * 'area' being divided */ | ||
| 471 | wnum.neg = 0; | ||
| 472 | wnum.d = &(snum->d[loop]); | ||
| 473 | wnum.top = div_n; | ||
| 474 | /* only needed when BN_ucmp messes up the values between top and max */ | ||
| 475 | wnum.dmax = snum->dmax - loop; /* so we don't step out of bounds */ | ||
| 476 | |||
| 477 | /* Get the top 2 words of sdiv */ | ||
| 478 | /* div_n=sdiv->top; */ | ||
| 479 | d0=sdiv->d[div_n-1]; | ||
| 480 | d1=(div_n == 1)?0:sdiv->d[div_n-2]; | ||
| 481 | |||
| 482 | /* pointer to the 'top' of snum */ | ||
| 483 | wnump= &(snum->d[num_n-1]); | ||
| 484 | |||
| 485 | /* Setup to 'res' */ | ||
| 486 | res->neg= (num->neg^divisor->neg); | ||
| 487 | if (!bn_wexpand(res,(loop+1))) goto err; | ||
| 488 | res->top=loop-1; | ||
| 489 | resp= &(res->d[loop-1]); | ||
| 490 | |||
| 491 | /* space for temp */ | ||
| 492 | if (!bn_wexpand(tmp,(div_n+1))) goto err; | ||
| 493 | |||
| 494 | /* if res->top == 0 then clear the neg value otherwise decrease | ||
| 495 | * the resp pointer */ | ||
| 496 | if (res->top == 0) | ||
| 497 | res->neg = 0; | ||
| 498 | else | ||
| 499 | resp--; | ||
| 500 | |||
| 501 | for (i=0; i<loop-1; i++, wnump--, resp--) | ||
| 502 | { | ||
| 503 | BN_ULONG q,l0; | ||
| 504 | /* the first part of the loop uses the top two words of | ||
| 505 | * snum and sdiv to calculate a BN_ULONG q such that | ||
| 506 | * | wnum - sdiv * q | < sdiv */ | ||
| 507 | #if defined(BN_DIV3W) && !defined(OPENSSL_NO_ASM) | ||
| 508 | BN_ULONG bn_div_3_words(BN_ULONG*,BN_ULONG,BN_ULONG); | ||
| 509 | q=bn_div_3_words(wnump,d1,d0); | ||
| 510 | #else | ||
| 511 | BN_ULONG n0,n1,rem=0; | ||
| 512 | |||
| 513 | n0=wnump[0]; | ||
| 514 | n1=wnump[-1]; | ||
| 515 | if (n0 == d0) | ||
| 516 | q=BN_MASK2; | ||
| 517 | else /* n0 < d0 */ | ||
| 518 | { | ||
| 519 | #ifdef BN_LLONG | ||
| 520 | BN_ULLONG t2; | ||
| 521 | |||
| 522 | #if defined(BN_LLONG) && defined(BN_DIV2W) && !defined(bn_div_words) | ||
| 523 | q=(BN_ULONG)(((((BN_ULLONG)n0)<<BN_BITS2)|n1)/d0); | ||
| 524 | #else | ||
| 525 | q=bn_div_words(n0,n1,d0); | ||
| 526 | #ifdef BN_DEBUG_LEVITTE | ||
| 527 | fprintf(stderr,"DEBUG: bn_div_words(0x%08X,0x%08X,0x%08\ | ||
| 528 | X) -> 0x%08X\n", | ||
| 529 | n0, n1, d0, q); | ||
| 530 | #endif | ||
| 531 | #endif | ||
| 532 | |||
| 533 | #ifndef REMAINDER_IS_ALREADY_CALCULATED | ||
| 534 | /* | ||
| 535 | * rem doesn't have to be BN_ULLONG. The least we | ||
| 536 | * know it's less that d0, isn't it? | ||
| 537 | */ | ||
| 538 | rem=(n1-q*d0)&BN_MASK2; | ||
| 539 | #endif | ||
| 540 | t2=(BN_ULLONG)d1*q; | ||
| 541 | |||
| 542 | for (;;) | ||
| 543 | { | ||
| 544 | if (t2 <= ((((BN_ULLONG)rem)<<BN_BITS2)|wnump[-2])) | ||
| 545 | break; | ||
| 546 | q--; | ||
| 547 | rem += d0; | ||
| 548 | if (rem < d0) break; /* don't let rem overflow */ | ||
| 549 | t2 -= d1; | ||
| 550 | } | ||
| 551 | #else /* !BN_LLONG */ | ||
| 552 | BN_ULONG t2l,t2h,ql,qh; | ||
| 553 | |||
| 554 | q=bn_div_words(n0,n1,d0); | ||
| 555 | #ifdef BN_DEBUG_LEVITTE | ||
| 556 | fprintf(stderr,"DEBUG: bn_div_words(0x%08X,0x%08X,0x%08\ | ||
| 557 | X) -> 0x%08X\n", | ||
| 558 | n0, n1, d0, q); | ||
| 559 | #endif | ||
| 560 | #ifndef REMAINDER_IS_ALREADY_CALCULATED | ||
| 561 | rem=(n1-q*d0)&BN_MASK2; | ||
| 562 | #endif | ||
| 354 | 563 | ||
| 355 | j=wnum.top; | 564 | #if defined(BN_UMULT_LOHI) |
| 356 | if (!BN_sub(&wnum,&wnum,tmp)) goto err; | 565 | BN_UMULT_LOHI(t2l,t2h,d1,q); |
| 566 | #elif defined(BN_UMULT_HIGH) | ||
| 567 | t2l = d1 * q; | ||
| 568 | t2h = BN_UMULT_HIGH(d1,q); | ||
| 569 | #else | ||
| 570 | t2l=LBITS(d1); t2h=HBITS(d1); | ||
| 571 | ql =LBITS(q); qh =HBITS(q); | ||
| 572 | mul64(t2l,t2h,ql,qh); /* t2=(BN_ULLONG)d1*q; */ | ||
| 573 | #endif | ||
| 357 | 574 | ||
| 358 | snum->top=snum->top+wnum.top-j; | 575 | for (;;) |
| 576 | { | ||
| 577 | if ((t2h < rem) || | ||
| 578 | ((t2h == rem) && (t2l <= wnump[-2]))) | ||
| 579 | break; | ||
| 580 | q--; | ||
| 581 | rem += d0; | ||
| 582 | if (rem < d0) break; /* don't let rem overflow */ | ||
| 583 | if (t2l < d1) t2h--; t2l -= d1; | ||
| 584 | } | ||
| 585 | #endif /* !BN_LLONG */ | ||
| 586 | } | ||
| 587 | #endif /* !BN_DIV3W */ | ||
| 359 | 588 | ||
| 360 | if (wnum.neg) | 589 | l0=bn_mul_words(tmp->d,sdiv->d,div_n,q); |
| 590 | tmp->d[div_n]=l0; | ||
| 591 | wnum.d--; | ||
| 592 | /* ingore top values of the bignums just sub the two | ||
| 593 | * BN_ULONG arrays with bn_sub_words */ | ||
| 594 | if (bn_sub_words(wnum.d, wnum.d, tmp->d, div_n+1)) | ||
| 361 | { | 595 | { |
| 596 | /* Note: As we have considered only the leading | ||
| 597 | * two BN_ULONGs in the calculation of q, sdiv * q | ||
| 598 | * might be greater than wnum (but then (q-1) * sdiv | ||
| 599 | * is less or equal than wnum) | ||
| 600 | */ | ||
| 362 | q--; | 601 | q--; |
| 363 | j=wnum.top; | 602 | if (bn_add_words(wnum.d, wnum.d, sdiv->d, div_n)) |
| 364 | if (!BN_add(&wnum,&wnum,sdiv)) goto err; | 603 | /* we can't have an overflow here (assuming |
| 365 | snum->top+=wnum.top-j; | 604 | * that q != 0, but if q == 0 then tmp is |
| 605 | * zero anyway) */ | ||
| 606 | (*wnump)++; | ||
| 366 | } | 607 | } |
| 367 | *(resp--)=q; | 608 | /* store part of the result */ |
| 368 | wnump--; | 609 | *resp = q; |
| 369 | } | 610 | } |
| 611 | bn_correct_top(snum); | ||
| 370 | if (rm != NULL) | 612 | if (rm != NULL) |
| 371 | { | 613 | { |
| 372 | /* Keep a copy of the neg flag in num because if rm==num | 614 | /* Keep a copy of the neg flag in num because if rm==num |
| @@ -376,10 +618,13 @@ X) -> 0x%08X\n", | |||
| 376 | BN_rshift(rm,snum,norm_shift); | 618 | BN_rshift(rm,snum,norm_shift); |
| 377 | if (!BN_is_zero(rm)) | 619 | if (!BN_is_zero(rm)) |
| 378 | rm->neg = neg; | 620 | rm->neg = neg; |
| 621 | bn_check_top(rm); | ||
| 379 | } | 622 | } |
| 623 | bn_correct_top(res); | ||
| 380 | BN_CTX_end(ctx); | 624 | BN_CTX_end(ctx); |
| 381 | return(1); | 625 | return(1); |
| 382 | err: | 626 | err: |
| 627 | bn_check_top(rm); | ||
| 383 | BN_CTX_end(ctx); | 628 | BN_CTX_end(ctx); |
| 384 | return(0); | 629 | return(0); |
| 385 | } | 630 | } |
