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313 lines
8.0 KiB
313 lines
8.0 KiB
/* crypto/bn/bn_add.c */ |
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/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com) |
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* All rights reserved. |
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* |
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* This package is an SSL implementation written |
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* by Eric Young (eay@cryptsoft.com). |
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* The implementation was written so as to conform with Netscapes SSL. |
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* |
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* This library is free for commercial and non-commercial use as long as |
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* the following conditions are aheared to. The following conditions |
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* apply to all code found in this distribution, be it the RC4, RSA, |
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* lhash, DES, etc., code; not just the SSL code. The SSL documentation |
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* included with this distribution is covered by the same copyright terms |
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* except that the holder is Tim Hudson (tjh@cryptsoft.com). |
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* |
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* Copyright remains Eric Young's, and as such any Copyright notices in |
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* the code are not to be removed. |
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* If this package is used in a product, Eric Young should be given attribution |
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* as the author of the parts of the library used. |
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* This can be in the form of a textual message at program startup or |
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* in documentation (online or textual) provided with the package. |
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* |
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* Redistribution and use in source and binary forms, with or without |
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* modification, are permitted provided that the following conditions |
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* are met: |
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* 1. Redistributions of source code must retain the copyright |
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* notice, this list of conditions and the following disclaimer. |
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* 2. Redistributions in binary form must reproduce the above copyright |
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* notice, this list of conditions and the following disclaimer in the |
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* documentation and/or other materials provided with the distribution. |
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* 3. All advertising materials mentioning features or use of this software |
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* must display the following acknowledgement: |
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* "This product includes cryptographic software written by |
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* Eric Young (eay@cryptsoft.com)" |
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* The word 'cryptographic' can be left out if the rouines from the library |
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* being used are not cryptographic related :-). |
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* 4. If you include any Windows specific code (or a derivative thereof) from |
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* the apps directory (application code) you must include an acknowledgement: |
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* "This product includes software written by Tim Hudson (tjh@cryptsoft.com)" |
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* |
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* THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND |
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* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE |
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE |
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* ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE |
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* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL |
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* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS |
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* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) |
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* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
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* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY |
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* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF |
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* SUCH DAMAGE. |
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* |
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* The licence and distribution terms for any publically available version or |
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* derivative of this code cannot be changed. i.e. this code cannot simply be |
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* copied and put under another distribution licence |
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* [including the GNU Public Licence.] |
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*/ |
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#include <stdio.h> |
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#include "cryptlib.h" |
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#include "bn_lcl.h" |
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/* r can == a or b */ |
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int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b) |
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{ |
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const BIGNUM *tmp; |
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int a_neg = a->neg, ret; |
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bn_check_top(a); |
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bn_check_top(b); |
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/*- |
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* a + b a+b |
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* a + -b a-b |
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* -a + b b-a |
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* -a + -b -(a+b) |
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*/ |
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if (a_neg ^ b->neg) { |
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/* only one is negative */ |
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if (a_neg) { |
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tmp = a; |
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a = b; |
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b = tmp; |
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} |
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/* we are now a - b */ |
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if (BN_ucmp(a, b) < 0) { |
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if (!BN_usub(r, b, a)) |
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return (0); |
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r->neg = 1; |
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} else { |
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if (!BN_usub(r, a, b)) |
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return (0); |
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r->neg = 0; |
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} |
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return (1); |
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} |
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ret = BN_uadd(r, a, b); |
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r->neg = a_neg; |
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bn_check_top(r); |
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return ret; |
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} |
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/* unsigned add of b to a */ |
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int BN_uadd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b) |
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{ |
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int max, min, dif; |
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BN_ULONG *ap, *bp, *rp, carry, t1, t2; |
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const BIGNUM *tmp; |
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bn_check_top(a); |
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bn_check_top(b); |
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if (a->top < b->top) { |
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tmp = a; |
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a = b; |
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b = tmp; |
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} |
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max = a->top; |
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min = b->top; |
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dif = max - min; |
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if (bn_wexpand(r, max + 1) == NULL) |
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return 0; |
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r->top = max; |
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ap = a->d; |
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bp = b->d; |
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rp = r->d; |
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carry = bn_add_words(rp, ap, bp, min); |
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rp += min; |
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ap += min; |
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bp += min; |
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if (carry) { |
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while (dif) { |
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dif--; |
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t1 = *(ap++); |
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t2 = (t1 + 1) & BN_MASK2; |
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*(rp++) = t2; |
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if (t2) { |
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carry = 0; |
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break; |
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} |
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} |
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if (carry) { |
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/* carry != 0 => dif == 0 */ |
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*rp = 1; |
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r->top++; |
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} |
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} |
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if (dif && rp != ap) |
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while (dif--) |
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/* copy remaining words if ap != rp */ |
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*(rp++) = *(ap++); |
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r->neg = 0; |
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bn_check_top(r); |
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return 1; |
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} |
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/* unsigned subtraction of b from a, a must be larger than b. */ |
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int BN_usub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b) |
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{ |
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int max, min, dif; |
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register BN_ULONG t1, t2, *ap, *bp, *rp; |
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int i, carry; |
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#if defined(IRIX_CC_BUG) && !defined(LINT) |
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int dummy; |
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#endif |
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bn_check_top(a); |
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bn_check_top(b); |
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max = a->top; |
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min = b->top; |
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dif = max - min; |
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if (dif < 0) { /* hmm... should not be happening */ |
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BNerr(BN_F_BN_USUB, BN_R_ARG2_LT_ARG3); |
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return (0); |
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} |
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if (bn_wexpand(r, max) == NULL) |
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return (0); |
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ap = a->d; |
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bp = b->d; |
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rp = r->d; |
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#if 1 |
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carry = 0; |
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for (i = min; i != 0; i--) { |
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t1 = *(ap++); |
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t2 = *(bp++); |
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if (carry) { |
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carry = (t1 <= t2); |
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t1 = (t1 - t2 - 1) & BN_MASK2; |
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} else { |
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carry = (t1 < t2); |
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t1 = (t1 - t2) & BN_MASK2; |
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} |
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# if defined(IRIX_CC_BUG) && !defined(LINT) |
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dummy = t1; |
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# endif |
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*(rp++) = t1 & BN_MASK2; |
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} |
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#else |
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carry = bn_sub_words(rp, ap, bp, min); |
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ap += min; |
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bp += min; |
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rp += min; |
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#endif |
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if (carry) { /* subtracted */ |
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if (!dif) |
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/* error: a < b */ |
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return 0; |
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while (dif) { |
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dif--; |
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t1 = *(ap++); |
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t2 = (t1 - 1) & BN_MASK2; |
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*(rp++) = t2; |
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if (t1) |
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break; |
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} |
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} |
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#if 0 |
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memcpy(rp, ap, sizeof(*rp) * (max - i)); |
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#else |
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if (rp != ap) { |
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for (;;) { |
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if (!dif--) |
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break; |
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rp[0] = ap[0]; |
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if (!dif--) |
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break; |
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rp[1] = ap[1]; |
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if (!dif--) |
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break; |
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rp[2] = ap[2]; |
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if (!dif--) |
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break; |
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rp[3] = ap[3]; |
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rp += 4; |
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ap += 4; |
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} |
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} |
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#endif |
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r->top = max; |
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r->neg = 0; |
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bn_correct_top(r); |
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return (1); |
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} |
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int BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b) |
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{ |
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int max; |
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int add = 0, neg = 0; |
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const BIGNUM *tmp; |
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bn_check_top(a); |
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bn_check_top(b); |
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/*- |
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* a - b a-b |
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* a - -b a+b |
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* -a - b -(a+b) |
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* -a - -b b-a |
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*/ |
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if (a->neg) { |
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if (b->neg) { |
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tmp = a; |
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a = b; |
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b = tmp; |
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} else { |
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add = 1; |
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neg = 1; |
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} |
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} else { |
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if (b->neg) { |
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add = 1; |
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neg = 0; |
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} |
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} |
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if (add) { |
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if (!BN_uadd(r, a, b)) |
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return (0); |
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r->neg = neg; |
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return (1); |
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} |
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/* We are actually doing a - b :-) */ |
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max = (a->top > b->top) ? a->top : b->top; |
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if (bn_wexpand(r, max) == NULL) |
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return (0); |
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if (BN_ucmp(a, b) < 0) { |
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if (!BN_usub(r, b, a)) |
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return (0); |
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r->neg = 1; |
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} else { |
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if (!BN_usub(r, a, b)) |
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return (0); |
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r->neg = 0; |
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} |
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bn_check_top(r); |
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return (1); |
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}
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