/* 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 #include #include #include #include "internal.h" int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b) { const BIGNUM *tmp; int a_neg = a->neg, ret; // 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; } ret = BN_uadd(r, a, b); r->neg = a_neg; return ret; } int BN_uadd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b) { int max, min, dif; BN_ULONG *ap, *bp, *rp, carry, t1, t2; const BIGNUM *tmp; if (a->top < b->top) { tmp = a; a = b; b = tmp; } max = a->top; min = b->top; dif = max - min; if (!bn_wexpand(r, max + 1)) { 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; bp += min; if (carry) { while (dif) { dif--; t1 = *(ap++); t2 = (t1 + 1) & BN_MASK2; *(rp++) = t2; if (t2) { carry = 0; break; } } if (carry) { // carry != 0 => dif == 0 *rp = 1; r->top++; } } if (dif && rp != ap) { while (dif--) { // copy remaining words if ap != rp *(rp++) = *(ap++); } } r->neg = 0; return 1; } int BN_add_word(BIGNUM *a, BN_ULONG w) { BN_ULONG l; int i; w &= BN_MASK2; // degenerate case: w is zero if (!w) { return 1; } // degenerate case: a is zero if (BN_is_zero(a)) { return BN_set_word(a, w); } // handle 'a' when negative if (a->neg) { a->neg = 0; i = BN_sub_word(a, w); if (!BN_is_zero(a)) { a->neg = !(a->neg); } return i; } for (i = 0; w != 0 && i < a->top; i++) { a->d[i] = l = (a->d[i] + w) & BN_MASK2; w = (w > l) ? 1 : 0; } if (w && i == a->top) { if (!bn_wexpand(a, a->top + 1)) { return 0; } a->top++; a->d[i] = w; } return 1; } int BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b) { int max; int add = 0, neg = 0; const BIGNUM *tmp; // 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)) { 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; } int BN_usub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b) { int max, min, dif; register BN_ULONG t1, t2, *ap, *bp, *rp; int i, carry; max = a->top; min = b->top; dif = max - min; if (dif < 0) // hmm... should not be happening { OPENSSL_PUT_ERROR(BN, BN_R_ARG2_LT_ARG3); return 0; } if (!bn_wexpand(r, max)) { return 0; } ap = a->d; bp = b->d; rp = r->d; carry = 0; for (i = min; i != 0; 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; } *(rp++) = t1 & BN_MASK2; } if (carry) // subtracted { if (!dif) { // error: a < b return 0; } while (dif) { dif--; t1 = *(ap++); t2 = (t1 - 1) & BN_MASK2; *(rp++) = t2; if (t1) { break; } } } if (dif > 0 && rp != ap) { OPENSSL_memcpy(rp, ap, sizeof(*rp) * dif); } r->top = max; r->neg = 0; bn_correct_top(r); return 1; } int BN_sub_word(BIGNUM *a, BN_ULONG w) { int i; w &= BN_MASK2; // degenerate case: w is zero if (!w) { return 1; } // degenerate case: a is zero if (BN_is_zero(a)) { i = BN_set_word(a, w); if (i != 0) { BN_set_negative(a, 1); } return i; } // handle 'a' when negative if (a->neg) { a->neg = 0; i = BN_add_word(a, w); a->neg = 1; return i; } if ((a->top == 1) && (a->d[0] < w)) { a->d[0] = w - a->d[0]; a->neg = 1; return 1; } i = 0; for (;;) { if (a->d[i] >= w) { a->d[i] -= w; break; } else { a->d[i] = (a->d[i] - w) & BN_MASK2; i++; w = 1; } } if ((a->d[i] == 0) && (i == (a->top - 1))) { a->top--; } return 1; }