📄 bn_add.c
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/* crypto/bn/bn_add.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.] */#include <stdio.h>#include "cryptlib.h"#include "bn_lcl.h"#include "workaround.h"/* r can == a or b */int BN_add(BIGNUM * r, const BIGNUM * a, const BIGNUM * b){ const BIGNUM *tmp; bn_check_top(a); bn_check_top(b); /* a + b a+b * a + -b a-b * -a + b b-a * -a + -b -(a+b) */ if (a->neg ^ b->neg) { /* only one is negative */ if (a->neg) { tmp = a; a = b; b = tmp; } /* we are now a - b */ if (BN_ucmp(a, b) < 0) { if (!BN_usub(r, b, a)) return (0); r->neg = 1; } else { if (!BN_usub(r, a, b)) return (0); r->neg = 0; } return (1); } if (a->neg) /* both are neg */ r->neg = 1; else r->neg = 0; if (!BN_uadd(r, a, b)) return (0); return (1);}/* unsigned add of b to a, r must be large enough */int BN_uadd(BIGNUM * r, const BIGNUM * a, const BIGNUM * b){ register int i; int max, min; BN_ULONG *ap, *bp, *rp, carry, t1; const BIGNUM *tmp; bn_check_top(a); bn_check_top(b); if (a->top < b->top) { tmp = a; a = b; b = tmp; } max = a->top; min = b->top; if (bn_wexpand(r, max + 1) == NULL) return (0); r->top = max; ap = a->d; bp = b->d; rp = r->d; carry = 0; carry = bn_add_words(rp, ap, bp, min); rp += min; ap += min; bp += min; i = min; if (carry) { while (i < max) { i++; t1 = *(ap++); if ((*(rp++) = (t1 + 1) & BN_MASK2) >= t1) { carry = 0; break; } } if ((i >= max) && carry) { *(rp++) = 1; r->top++; } } if (rp != ap) { for (; i < max; i++) *(rp++) = *(ap++); } /* hss_memcpy(rp,ap,sizeof(*ap)*(max-i)); */ return (1);}/* unsigned subtraction of b from a, a must be larger than b. */int BN_usub(BIGNUM * r, const BIGNUM * a, const BIGNUM * b){ int max, min; register BN_ULONG t1, t2, *ap, *bp, *rp; int i, carry;#if defined(IRIX_CC_BUG) && !defined(LINT) int dummy;#endif bn_check_top(a); bn_check_top(b); if (a->top < b->top) { /* hmm... should not be happening */ BNerr(BN_F_BN_USUB, BN_R_ARG2_LT_ARG3); return (0); } max = a->top; min = b->top; if (bn_wexpand(r, max) == NULL) return (0); ap = a->d; bp = b->d; rp = r->d;#if 1 carry = 0; for (i = 0; i < min; i++) { t1 = *(ap++); t2 = *(bp++); if (carry) { carry = (t1 <= t2); t1 = (t1 - t2 - 1) & BN_MASK2; } else { carry = (t1 < t2); t1 = (t1 - t2) & BN_MASK2; }#if defined(IRIX_CC_BUG) && !defined(LINT) dummy = t1;#endif *(rp++) = t1 & BN_MASK2; }#else carry = bn_sub_words(rp, ap, bp, min); ap += min; bp += min; rp += min; i = min;#endif if (carry) { /* subtracted */ while (i < max) { i++; t1 = *(ap++); t2 = (t1 - 1) & BN_MASK2; *(rp++) = t2; if (t1 > t2) break; } }#if 0 hss_memcpy(rp, ap, sizeof(*rp) * (max - i));#else if (rp != ap) { for (;;) { if (i++ >= max) break; rp[0] = ap[0]; if (i++ >= max) break; rp[1] = ap[1]; if (i++ >= max) break; rp[2] = ap[2]; if (i++ >= max) break; rp[3] = ap[3]; rp += 4; ap += 4; } }#endif r->top = max; bn_fix_top(r); return (1);}int BN_sub(BIGNUM * r, const BIGNUM * a, const BIGNUM * b){ int max; int add = 0, neg = 0; const BIGNUM *tmp; bn_check_top(a); bn_check_top(b); /* a - b a-b * a - -b a+b * -a - b -(a+b) * -a - -b b-a */ if (a->neg) { if (b->neg) { tmp = a; a = b; b = tmp; } else { add = 1; neg = 1; } } else { if (b->neg) { add = 1; neg = 0; } } if (add) { if (!BN_uadd(r, a, b)) return (0); r->neg = neg; return (1); } /* We are actually doing a - b :-) */ max = (a->top > b->top) ? a->top : b->top; if (bn_wexpand(r, max) == NULL) return (0); if (BN_ucmp(a, b) < 0) { if (!BN_usub(r, b, a)) return (0); r->neg = 1; } else { if (!BN_usub(r, a, b)) return (0); r->neg = 0; } return (1);}
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