/* * Copyright 1995-2016 The OpenSSL Project Authors. All Rights Reserved. * * Licensed under the OpenSSL license (the "License"). You may not use * this file except in compliance with the License. You can obtain a copy * in the file LICENSE in the source distribution or at * https://www.openssl.org/source/license.html */ #include "internal/cryptlib.h" #include "bn_lcl.h" /* r can == a or b */ int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b) { int a_neg = a->neg, ret; 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) { const BIGNUM *tmp; 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; } ret = BN_uadd(r, a, b); r->neg = a_neg; bn_check_top(r); return ret; } /* unsigned add of b to a */ int BN_uadd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b) { int max, min, dif; const BN_ULONG *ap, *bp; BN_ULONG *rp, carry, t1, t2; bn_check_top(a); bn_check_top(b); if (a->top < b->top) { const BIGNUM *tmp; tmp = a; a = b; b = tmp; } max = a->top; min = b->top; dif = max - min; if (bn_wexpand(r, max + 1) == NULL) return 0; r->top = max; ap = a->d; bp = b->d; rp = r->d; carry = bn_add_words(rp, ap, bp, min); rp += min; ap += min; while (dif) { dif--; t1 = *(ap++); t2 = (t1 + carry) & BN_MASK2; *(rp++) = t2; carry &= (t2 == 0); } *rp = carry; r->top += carry; r->neg = 0; bn_check_top(r); 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, dif; BN_ULONG t1, t2, borrow, *rp; const BN_ULONG *ap, *bp; bn_check_top(a); bn_check_top(b); max = a->top; min = b->top; dif = max - min; if (dif < 0) { /* hmm... should not be happening */ BNerr(BN_F_BN_USUB, BN_R_ARG2_LT_ARG3); return 0; } if (bn_wexpand(r, max) == NULL) return 0; ap = a->d; bp = b->d; rp = r->d; borrow = bn_sub_words(rp, ap, bp, min); ap += min; rp += min; while (dif) { dif--; t1 = *(ap++); t2 = (t1 - borrow) & BN_MASK2; *(rp++) = t2; borrow &= (t1 == 0); } r->top = max; r->neg = 0; bn_correct_top(r); return 1; } int BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b) { int max; int add = 0, neg = 0; 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) { const BIGNUM *tmp; 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; } bn_check_top(r); return 1; }