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/* $OpenBSD: bn_add.c,v 1.11 2017/01/29 17:49:22 beck Exp $ */ |
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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 <openssl/err.h> |
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#include "bn_lcl.h" |
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/* r can == a or b */ |
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int |
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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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20231226 |
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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/* 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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✓✓ |
10115613 |
if (a_neg ^ b->neg) { |
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/* only one is negative */ |
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✓✓ |
3930268 |
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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3929462 |
} |
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/* we are now a - b */ |
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|
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✓✓ |
3930268 |
if (BN_ucmp(a, b) < 0) { |
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✗✓ |
510 |
if (!BN_usub(r, b, a)) |
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return (0); |
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r->neg = 1; |
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510 |
} else { |
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✗✓ |
3929758 |
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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3930268 |
return (1); |
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} |
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6185345 |
ret = BN_uadd(r, a, b); |
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6185345 |
r->neg = a_neg; |
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bn_check_top(r); |
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6185345 |
return ret; |
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10115613 |
} |
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/* unsigned add of b to a */ |
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int |
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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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✓✓ |
20156948 |
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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83930 |
} |
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10078474 |
max = a->top; |
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10078474 |
min = b->top; |
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10078474 |
dif = max - min; |
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✓✓✗✓
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20198816 |
if (bn_wexpand(r, max + 1) == NULL) |
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return 0; |
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10078474 |
r->top = max; |
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10078474 |
ap = a->d; |
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10078474 |
bp = b->d; |
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10078474 |
rp = r->d; |
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10078474 |
carry = bn_add_words(rp, ap, bp, min); |
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10078474 |
rp += min; |
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10078474 |
ap += min; |
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bp += min; |
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✓✓ |
10078474 |
if (carry) { |
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✓✓ |
1302542 |
while (dif) { |
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58313 |
dif--; |
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58313 |
t1 = *(ap++); |
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58313 |
t2 = (t1 + 1) & BN_MASK2; |
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58313 |
*(rp++) = t2; |
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✓✓ |
58313 |
if (t2) { |
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carry = 0; |
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56870 |
break; |
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} |
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} |
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✓✓ |
1301099 |
if (carry) { |
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/* carry != 0 => dif == 0 */ |
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1244229 |
*rp = 1; |
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1244229 |
r->top++; |
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1244229 |
} |
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} |
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✓✓✓✓
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11662748 |
if (dif && rp != ap) |
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✓✓ |
1401640 |
while (dif--) |
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/* copy remaining words if ap != rp */ |
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644432 |
*(rp++) = *(ap++); |
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10078474 |
r->neg = 0; |
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bn_check_top(r); |
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10078474 |
return 1; |
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10078474 |
} |
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/* unsigned subtraction of b from a, a must be larger than b. */ |
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int |
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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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BN_ULONG t1, t2, *ap, *bp, *rp; |
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int i, carry; |
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bn_check_top(a); |
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bn_check_top(b); |
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43838262 |
max = a->top; |
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21919131 |
min = b->top; |
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21919131 |
dif = max - min; |
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✗✓ |
21919131 |
if (dif < 0) /* hmm... should not be happening */ |
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{ |
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BNerror(BN_R_ARG2_LT_ARG3); |
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return (0); |
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} |
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✓✓✗✓
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43839224 |
if (bn_wexpand(r, max) == NULL) |
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return (0); |
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21919131 |
ap = a->d; |
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21919131 |
bp = b->d; |
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21919131 |
rp = r->d; |
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#if 1 |
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carry = 0; |
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✓✓ |
275525748 |
for (i = min; i != 0; i--) { |
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115843743 |
t1= *(ap++); |
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115843743 |
t2= *(bp++); |
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✓✓ |
115843743 |
if (carry) { |
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44607797 |
carry = (t1 <= t2); |
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44607797 |
t1 = (t1 - t2 - 1)&BN_MASK2; |
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44607797 |
} else { |
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71235946 |
carry = (t1 < t2); |
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71235946 |
t1 = (t1 - t2)&BN_MASK2; |
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} |
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115843743 |
*(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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✓✓ |
21919131 |
if (carry) /* subtracted */ |
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{ |
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✗✓ |
5317357 |
if (!dif) |
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/* error: a < b */ |
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return 0; |
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✓✗ |
10635101 |
while (dif) { |
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5317744 |
dif--; |
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5317744 |
t1 = *(ap++); |
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5317744 |
t2 = (t1 - 1)&BN_MASK2; |
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5317744 |
*(rp++) = t2; |
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✓✓ |
10635488 |
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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✓✓ |
21919131 |
if (rp != ap) { |
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9454 |
for (;;) { |
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✓✓ |
11695711 |
if (!dif--) |
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break; |
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21598 |
rp[0] = ap[0]; |
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✓✓ |
21598 |
if (!dif--) |
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break; |
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14806 |
rp[1] = ap[1]; |
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✓✓ |
14806 |
if (!dif--) |
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break; |
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11442 |
rp[2] = ap[2]; |
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✓✓ |
11442 |
if (!dif--) |
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break; |
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9454 |
rp[3] = ap[3]; |
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9454 |
rp += 4; |
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9454 |
ap += 4; |
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} |
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} |
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#endif |
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21919131 |
r->top = max; |
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21919131 |
r->neg = 0; |
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✓✓✓✓ ✓✓ |
144837207 |
bn_correct_top(r); |
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21919131 |
return (1); |
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21919131 |
} |
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int |
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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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/* 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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✓✓ |
28859976 |
if (a->neg) { |
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✓✓ |
4056 |
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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3006 |
} 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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✓✓ |
14425932 |
if (b->neg) { |
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add = 1; |
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neg = 0; |
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|
299 |
} |
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} |
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✓✓ |
14429988 |
if (add) { |
291 |
✗✓ |
1349 |
if (!BN_uadd(r, a, b)) |
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return (0); |
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|
1349 |
r->neg = neg; |
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|
1349 |
return (1); |
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} |
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/* We are actually doing a - b :-) */ |
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14428639 |
max = (a->top > b->top) ? a->top : b->top; |
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✓✓✗✓
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28936168 |
if (bn_wexpand(r, max) == NULL) |
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return (0); |
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✓✓ |
14428639 |
if (BN_ucmp(a, b) < 0) { |
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✗✓ |
3938734 |
if (!BN_usub(r, b, a)) |
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return (0); |
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r->neg = 1; |
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3938734 |
} else { |
307 |
✗✓ |
10489905 |
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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|
14428639 |
return (1); |
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14429988 |
} |