/* crypto/bn/bn_lib.c */ /* 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.] */ #ifndef BN_DEBUG # undef NDEBUG /* avoid conflicting definitions */ # define NDEBUG #endif #include #include #include #include "cryptlib.h" #include "bn_lcl.h" const char *BN_version="Big Number" OPENSSL_VERSION_PTEXT; /* This stuff appears to be completely unused, so is deprecated */ #ifndef OPENSSL_NO_DEPRECATED /* For a 32 bit machine * 2 - 4 == 128 * 3 - 8 == 256 * 4 - 16 == 512 * 5 - 32 == 1024 * 6 - 64 == 2048 * 7 - 128 == 4096 * 8 - 256 == 8192 */ static int bn_limit_bits=0; static int bn_limit_num=8; /* (1<= 0) { if (mult > (int)(sizeof(int)*8)-1) mult=sizeof(int)*8-1; bn_limit_bits=mult; bn_limit_num=1<= 0) { if (high > (int)(sizeof(int)*8)-1) high=sizeof(int)*8-1; bn_limit_bits_high=high; bn_limit_num_high=1<= 0) { if (low > (int)(sizeof(int)*8)-1) low=sizeof(int)*8-1; bn_limit_bits_low=low; bn_limit_num_low=1<= 0) { if (mont > (int)(sizeof(int)*8)-1) mont=sizeof(int)*8-1; bn_limit_bits_mont=mont; bn_limit_num_mont=1<>56)]+56); } else return(bits[(int)(l>>48)]+48); } else { if (l & 0x0000ff0000000000L) { return(bits[(int)(l>>40)]+40); } else return(bits[(int)(l>>32)]+32); } } else #else #ifdef SIXTY_FOUR_BIT if (l & 0xffffffff00000000LL) { if (l & 0xffff000000000000LL) { if (l & 0xff00000000000000LL) { return(bits[(int)(l>>56)]+56); } else return(bits[(int)(l>>48)]+48); } else { if (l & 0x0000ff0000000000LL) { return(bits[(int)(l>>40)]+40); } else return(bits[(int)(l>>32)]+32); } } else #endif #endif { #if defined(THIRTY_TWO_BIT) || defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG) if (l & 0xffff0000L) { if (l & 0xff000000L) return(bits[(int)(l>>24L)]+24); else return(bits[(int)(l>>16L)]+16); } else #endif { #if defined(SIXTEEN_BIT) || defined(THIRTY_TWO_BIT) || defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG) if (l & 0xff00L) return(bits[(int)(l>>8)]+8); else #endif return(bits[(int)(l )] ); } } } int BN_num_bits(const BIGNUM *a) { int i = a->top - 1; bn_check_top(a); if (BN_is_zero(a)) return 0; return ((i*BN_BITS2) + BN_num_bits_word(a->d[i])); } void BN_clear_free(BIGNUM *a) { int i; if (a == NULL) return; bn_check_top(a); if (a->d != NULL) { OPENSSL_cleanse(a->d,a->dmax*sizeof(a->d[0])); if (!(BN_get_flags(a,BN_FLG_STATIC_DATA))) OPENSSL_free(a->d); } i=BN_get_flags(a,BN_FLG_MALLOCED); OPENSSL_cleanse(a,sizeof(BIGNUM)); if (i) OPENSSL_free(a); } void BN_free(BIGNUM *a) { if (a == NULL) return; bn_check_top(a); if ((a->d != NULL) && !(BN_get_flags(a,BN_FLG_STATIC_DATA))) OPENSSL_free(a->d); if (a->flags & BN_FLG_MALLOCED) OPENSSL_free(a); else { #ifndef OPENSSL_NO_DEPRECATED a->flags|=BN_FLG_FREE; #endif a->d = NULL; } } void BN_init(BIGNUM *a) { memset(a,0,sizeof(BIGNUM)); bn_check_top(a); } BIGNUM *BN_new(void) { BIGNUM *ret; if ((ret=(BIGNUM *)OPENSSL_malloc(sizeof(BIGNUM))) == NULL) { BNerr(BN_F_BN_NEW,ERR_R_MALLOC_FAILURE); return(NULL); } ret->flags=BN_FLG_MALLOCED; ret->top=0; ret->neg=0; ret->dmax=0; ret->d=NULL; bn_check_top(ret); return(ret); } /* This is used both by bn_expand2() and bn_dup_expand() */ /* The caller MUST check that words > b->dmax before calling this */ static BN_ULONG *bn_expand_internal(const BIGNUM *b, int words) { BN_ULONG *A,*a = NULL; const BN_ULONG *B; int i; bn_check_top(b); if (words > (INT_MAX/(4*BN_BITS2))) { BNerr(BN_F_BN_EXPAND_INTERNAL,BN_R_BIGNUM_TOO_LONG); return NULL; } if (BN_get_flags(b,BN_FLG_STATIC_DATA)) { BNerr(BN_F_BN_EXPAND_INTERNAL,BN_R_EXPAND_ON_STATIC_BIGNUM_DATA); return(NULL); } a=A=(BN_ULONG *)OPENSSL_malloc(sizeof(BN_ULONG)*words); if (A == NULL) { BNerr(BN_F_BN_EXPAND_INTERNAL,ERR_R_MALLOC_FAILURE); return(NULL); } #if 1 B=b->d; /* Check if the previous number needs to be copied */ if (B != NULL) { for (i=b->top>>2; i>0; i--,A+=4,B+=4) { /* * The fact that the loop is unrolled * 4-wise is a tribute to Intel. It's * the one that doesn't have enough * registers to accomodate more data. * I'd unroll it 8-wise otherwise:-) * * */ BN_ULONG a0,a1,a2,a3; a0=B[0]; a1=B[1]; a2=B[2]; a3=B[3]; A[0]=a0; A[1]=a1; A[2]=a2; A[3]=a3; } switch (b->top&3) { case 3: A[2]=B[2]; case 2: A[1]=B[1]; case 1: A[0]=B[0]; case 0: /* workaround for ultrix cc: without 'case 0', the optimizer does * the switch table by doing a=top&3; a--; goto jump_table[a]; * which fails for top== 0 */ ; } } #else memset(A,0,sizeof(BN_ULONG)*words); memcpy(A,b->d,sizeof(b->d[0])*b->top); #endif return(a); } /* This is an internal function that can be used instead of bn_expand2() * when there is a need to copy BIGNUMs instead of only expanding the * data part, while still expanding them. * Especially useful when needing to expand BIGNUMs that are declared * 'const' and should therefore not be changed. * The reason to use this instead of a BN_dup() followed by a bn_expand2() * is memory allocation overhead. A BN_dup() followed by a bn_expand2() * will allocate new memory for the BIGNUM data twice, and free it once, * while bn_dup_expand() makes sure allocation is made only once. */ #ifndef OPENSSL_NO_DEPRECATED BIGNUM *bn_dup_expand(const BIGNUM *b, int words) { BIGNUM *r = NULL; bn_check_top(b); /* This function does not work if * words <= b->dmax && top < words * because BN_dup() does not preserve 'dmax'! * (But bn_dup_expand() is not used anywhere yet.) */ if (words > b->dmax) { BN_ULONG *a = bn_expand_internal(b, words); if (a) { r = BN_new(); if (r) { r->top = b->top; r->dmax = words; r->neg = b->neg; r->d = a; } else { /* r == NULL, BN_new failure */ OPENSSL_free(a); } } /* If a == NULL, there was an error in allocation in bn_expand_internal(), and NULL should be returned */ } else { r = BN_dup(b); } bn_check_top(r); return r; } #endif /* This is an internal function that should not be used in applications. * It ensures that 'b' has enough room for a 'words' word number * and initialises any unused part of b->d with leading zeros. * It is mostly used by the various BIGNUM routines. If there is an error, * NULL is returned. If not, 'b' is returned. */ BIGNUM *bn_expand2(BIGNUM *b, int words) { bn_check_top(b); if (words > b->dmax) { BN_ULONG *a = bn_expand_internal(b, words); if(!a) return NULL; if(b->d) OPENSSL_free(b->d); b->d=a; b->dmax=words; } /* None of this should be necessary because of what b->top means! */ #if 0 /* NB: bn_wexpand() calls this only if the BIGNUM really has to grow */ if (b->top < b->dmax) { int i; BN_ULONG *A = &(b->d[b->top]); for (i=(b->dmax - b->top)>>3; i>0; i--,A+=8) { A[0]=0; A[1]=0; A[2]=0; A[3]=0; A[4]=0; A[5]=0; A[6]=0; A[7]=0; } for (i=(b->dmax - b->top)&7; i>0; i--,A++) A[0]=0; assert(A == &(b->d[b->dmax])); } #endif bn_check_top(b); return b; } BIGNUM *BN_dup(const BIGNUM *a) { BIGNUM *t; if (a == NULL) return NULL; bn_check_top(a); t = BN_new(); if (t == NULL) return NULL; if(!BN_copy(t, a)) { BN_free(t); return NULL; } bn_check_top(t); return t; } BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b) { int i; BN_ULONG *A; const BN_ULONG *B; bn_check_top(b); if (a == b) return(a); if (bn_wexpand(a,b->top) == NULL) return(NULL); #if 1 A=a->d; B=b->d; for (i=b->top>>2; i>0; i--,A+=4,B+=4) { BN_ULONG a0,a1,a2,a3; a0=B[0]; a1=B[1]; a2=B[2]; a3=B[3]; A[0]=a0; A[1]=a1; A[2]=a2; A[3]=a3; } switch (b->top&3) { case 3: A[2]=B[2]; case 2: A[1]=B[1]; case 1: A[0]=B[0]; case 0: ; /* ultrix cc workaround, see comments in bn_expand_internal */ } #else memcpy(a->d,b->d,sizeof(b->d[0])*b->top); #endif a->top=b->top; a->neg=b->neg; bn_check_top(a); return(a); } void BN_swap(BIGNUM *a, BIGNUM *b) { int flags_old_a, flags_old_b; BN_ULONG *tmp_d; int tmp_top, tmp_dmax, tmp_neg; bn_check_top(a); bn_check_top(b); flags_old_a = a->flags; flags_old_b = b->flags; tmp_d = a->d; tmp_top = a->top; tmp_dmax = a->dmax; tmp_neg = a->neg; a->d = b->d; a->top = b->top; a->dmax = b->dmax; a->neg = b->neg; b->d = tmp_d; b->top = tmp_top; b->dmax = tmp_dmax; b->neg = tmp_neg; a->flags = (flags_old_a & BN_FLG_MALLOCED) | (flags_old_b & BN_FLG_STATIC_DATA); b->flags = (flags_old_b & BN_FLG_MALLOCED) | (flags_old_a & BN_FLG_STATIC_DATA); bn_check_top(a); bn_check_top(b); } void BN_clear(BIGNUM *a) { bn_check_top(a); if (a->d != NULL) memset(a->d,0,a->dmax*sizeof(a->d[0])); a->top=0; a->neg=0; } BN_ULONG BN_get_word(const BIGNUM *a) { if (a->top > 1) return BN_MASK2; else if (a->top == 1) return a->d[0]; /* a->top == 0 */ return 0; } int BN_set_word(BIGNUM *a, BN_ULONG w) { bn_check_top(a); if (bn_expand(a,(int)sizeof(BN_ULONG)*8) == NULL) return(0); a->neg = 0; a->d[0] = w; a->top = (w ? 1 : 0); bn_check_top(a); return(1); } BIGNUM *BN_bin2bn(const unsigned char *s, int len, BIGNUM *ret) { unsigned int i,m; unsigned int n; BN_ULONG l; BIGNUM *bn = NULL; if (ret == NULL) ret = bn = BN_new(); if (ret == NULL) return(NULL); bn_check_top(ret); l=0; n=len; if (n == 0) { ret->top=0; return(ret); } i=((n-1)/BN_BYTES)+1; m=((n-1)%(BN_BYTES)); if (bn_wexpand(ret, (int)i) == NULL) { if (bn) BN_free(bn); return NULL; } ret->top=i; ret->neg=0; while (n--) { l=(l<<8L)| *(s++); if (m-- == 0) { ret->d[--i]=l; l=0; m=BN_BYTES-1; } } /* need to call this due to clear byte at top if avoiding * having the top bit set (-ve number) */ bn_correct_top(ret); return(ret); } /* ignore negative */ int BN_bn2bin(const BIGNUM *a, unsigned char *to) { int n,i; BN_ULONG l; bn_check_top(a); n=i=BN_num_bytes(a); while (i--) { l=a->d[i/BN_BYTES]; *(to++)=(unsigned char)(l>>(8*(i%BN_BYTES)))&0xff; } return(n); } int BN_ucmp(const BIGNUM *a, const BIGNUM *b) { int i; BN_ULONG t1,t2,*ap,*bp; bn_check_top(a); bn_check_top(b); i=a->top-b->top; if (i != 0) return(i); ap=a->d; bp=b->d; for (i=a->top-1; i>=0; i--) { t1= ap[i]; t2= bp[i]; if (t1 != t2) return((t1 > t2) ? 1 : -1); } return(0); } int BN_cmp(const BIGNUM *a, const BIGNUM *b) { int i; int gt,lt; BN_ULONG t1,t2; if ((a == NULL) || (b == NULL)) { if (a != NULL) return(-1); else if (b != NULL) return(1); else return(0); } bn_check_top(a); bn_check_top(b); if (a->neg != b->neg) { if (a->neg) return(-1); else return(1); } if (a->neg == 0) { gt=1; lt= -1; } else { gt= -1; lt=1; } if (a->top > b->top) return(gt); if (a->top < b->top) return(lt); for (i=a->top-1; i>=0; i--) { t1=a->d[i]; t2=b->d[i]; if (t1 > t2) return(gt); if (t1 < t2) return(lt); } return(0); } int BN_set_bit(BIGNUM *a, int n) { int i,j,k; if (n < 0) return 0; i=n/BN_BITS2; j=n%BN_BITS2; if (a->top <= i) { if (bn_wexpand(a,i+1) == NULL) return(0); for(k=a->top; kd[k]=0; a->top=i+1; } a->d[i]|=(((BN_ULONG)1)<top <= i) return(0); a->d[i]&=(~(((BN_ULONG)1)<top <= i) return 0; return((a->d[i]&(((BN_ULONG)1)<= a->top) return 0; if (b == 0) a->top=w; else { a->top=w+1; a->d[w]&= ~(BN_MASK2<neg = 1; else a->neg = 0; } int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n) { int i; BN_ULONG aa,bb; aa=a[n-1]; bb=b[n-1]; if (aa != bb) return((aa > bb)?1:-1); for (i=n-2; i>=0; i--) { aa=a[i]; bb=b[i]; if (aa != bb) return((aa > bb)?1:-1); } return(0); } /* Here follows a specialised variants of bn_cmp_words(). It has the property of performing the operation on arrays of different sizes. The sizes of those arrays is expressed through cl, which is the common length ( basicall, min(len(a),len(b)) ), and dl, which is the delta between the two lengths, calculated as len(a)-len(b). All lengths are the number of BN_ULONGs... */ int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b, int cl, int dl) { int n,i; n = cl-1; if (dl < 0) { for (i=dl; i<0; i++) { if (b[n-i] != 0) return -1; /* a < b */ } } if (dl > 0) { for (i=dl; i>0; i--) { if (a[n+i] != 0) return 1; /* a > b */ } } return bn_cmp_words(a,b,cl); } '#n454'>454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760