195c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com) 295c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * All rights reserved. 395c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * 495c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * This package is an SSL implementation written 595c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * by Eric Young (eay@cryptsoft.com). 695c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * The implementation was written so as to conform with Netscapes SSL. 795c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * 895c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * This library is free for commercial and non-commercial use as long as 995c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * the following conditions are aheared to. The following conditions 1095c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * apply to all code found in this distribution, be it the RC4, RSA, 1195c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * lhash, DES, etc., code; not just the SSL code. The SSL documentation 1295c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * included with this distribution is covered by the same copyright terms 1395c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * except that the holder is Tim Hudson (tjh@cryptsoft.com). 1495c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * 1595c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * Copyright remains Eric Young's, and as such any Copyright notices in 1695c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * the code are not to be removed. 1795c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * If this package is used in a product, Eric Young should be given attribution 1895c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * as the author of the parts of the library used. 1995c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * This can be in the form of a textual message at program startup or 2095c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * in documentation (online or textual) provided with the package. 2195c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * 2295c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * Redistribution and use in source and binary forms, with or without 2395c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * modification, are permitted provided that the following conditions 2495c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * are met: 2595c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * 1. Redistributions of source code must retain the copyright 2695c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * notice, this list of conditions and the following disclaimer. 2795c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * 2. Redistributions in binary form must reproduce the above copyright 2895c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * notice, this list of conditions and the following disclaimer in the 2995c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * documentation and/or other materials provided with the distribution. 3095c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * 3. All advertising materials mentioning features or use of this software 3195c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * must display the following acknowledgement: 3295c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * "This product includes cryptographic software written by 3395c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * Eric Young (eay@cryptsoft.com)" 3495c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * The word 'cryptographic' can be left out if the rouines from the library 3595c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * being used are not cryptographic related :-). 3695c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * 4. If you include any Windows specific code (or a derivative thereof) from 3795c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * the apps directory (application code) you must include an acknowledgement: 3895c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)" 3995c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * 4095c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND 4195c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 4295c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 4395c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE 4495c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 4595c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 4695c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 4795c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 4895c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 4995c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 5095c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * SUCH DAMAGE. 5195c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * 5295c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * The licence and distribution terms for any publically available version or 5395c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * derivative of this code cannot be changed. i.e. this code cannot simply be 5495c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * copied and put under another distribution licence 5595c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley * [including the GNU Public Licence.] */ 5695c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley 5795c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley#include <openssl/bn.h> 5895c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley 5995c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley#include "internal.h" 6095c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley 6195c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley 6295c29f3cd1f6c08c6c0927868683392eea727ccAdam Langleyint BN_ucmp(const BIGNUM *a, const BIGNUM *b) { 6395c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley int i; 6495c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley BN_ULONG t1, t2, *ap, *bp; 6595c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley 6695c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley i = a->top - b->top; 6795c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley if (i != 0) { 6895c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley return i; 6995c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley } 7095c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley 7195c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley ap = a->d; 7295c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley bp = b->d; 7395c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley for (i = a->top - 1; i >= 0; i--) { 7495c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley t1 = ap[i]; 7595c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley t2 = bp[i]; 7695c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley if (t1 != t2) { 7795c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley return (t1 > t2) ? 1 : -1; 7895c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley } 7995c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley } 8095c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley 8195c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley return 0; 8295c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley} 8395c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley 8495c29f3cd1f6c08c6c0927868683392eea727ccAdam Langleyint BN_cmp(const BIGNUM *a, const BIGNUM *b) { 8595c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley int i; 8695c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley int gt, lt; 8795c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley BN_ULONG t1, t2; 8895c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley 8995c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley if ((a == NULL) || (b == NULL)) { 9095c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley if (a != NULL) { 9195c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley return -1; 9295c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley } else if (b != NULL) { 9395c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley return 1; 9495c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley } else { 9595c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley return 0; 9695c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley } 9795c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley } 9895c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley 9995c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley if (a->neg != b->neg) { 10095c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley if (a->neg) { 10195c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley return -1; 10295c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley } 10395c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley return 1; 10495c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley } 10595c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley if (a->neg == 0) { 10695c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley gt = 1; 10795c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley lt = -1; 10895c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley } else { 10995c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley gt = -1; 11095c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley lt = 1; 11195c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley } 11295c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley 11395c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley if (a->top > b->top) { 11495c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley return gt; 11595c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley } 11695c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley if (a->top < b->top) { 11795c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley return lt; 11895c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley } 11995c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley 12095c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley for (i = a->top - 1; i >= 0; i--) { 12195c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley t1 = a->d[i]; 12295c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley t2 = b->d[i]; 12395c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley if (t1 > t2) { 12495c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley return gt; 12595c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley } if (t1 < t2) { 12695c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley return lt; 12795c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley } 12895c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley } 12995c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley 13095c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley return 0; 13195c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley} 13295c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley 13395c29f3cd1f6c08c6c0927868683392eea727ccAdam Langleyint bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n) { 13495c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley int i; 13595c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley BN_ULONG aa, bb; 13695c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley 13795c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley aa = a[n - 1]; 13895c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley bb = b[n - 1]; 13995c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley if (aa != bb) { 14095c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley return (aa > bb) ? 1 : -1; 14195c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley } 14295c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley 14395c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley for (i = n - 2; i >= 0; i--) { 14495c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley aa = a[i]; 14595c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley bb = b[i]; 14695c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley if (aa != bb) { 14795c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley return (aa > bb) ? 1 : -1; 14895c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley } 14995c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley } 15095c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley return 0; 15195c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley} 15295c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley 15395c29f3cd1f6c08c6c0927868683392eea727ccAdam Langleyint bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b, int cl, int dl) { 15495c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley int n, i; 15595c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley n = cl - 1; 15695c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley 15795c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley if (dl < 0) { 15895c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley for (i = dl; i < 0; i++) { 15995c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley if (b[n - i] != 0) { 16095c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley return -1; /* a < b */ 16195c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley } 16295c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley } 16395c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley } 16495c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley if (dl > 0) { 16595c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley for (i = dl; i > 0; i--) { 16695c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley if (a[n + i] != 0) { 16795c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley return 1; /* a > b */ 16895c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley } 16995c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley } 17095c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley } 17195c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley 17295c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley return bn_cmp_words(a, b, cl); 17395c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley} 17495c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley 17595c29f3cd1f6c08c6c0927868683392eea727ccAdam Langleyint BN_abs_is_word(const BIGNUM *bn, BN_ULONG w) { 17695c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley switch (bn->top) { 17795c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley case 1: 17895c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley return bn->d[0] == w; 17995c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley case 0: 18095c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley return w == 0; 18195c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley default: 18295c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley return 0; 18395c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley } 18495c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley} 18595c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley 18695c29f3cd1f6c08c6c0927868683392eea727ccAdam Langleyint BN_is_zero(const BIGNUM *bn) { 18795c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley return bn->top == 0; 18895c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley} 18995c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley 19095c29f3cd1f6c08c6c0927868683392eea727ccAdam Langleyint BN_is_one(const BIGNUM *bn) { 19195c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley return bn->neg == 0 && BN_abs_is_word(bn, 1); 19295c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley} 19395c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley 19495c29f3cd1f6c08c6c0927868683392eea727ccAdam Langleyint BN_is_word(const BIGNUM *bn, BN_ULONG w) { 19595c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley return BN_abs_is_word(bn, w) && (w == 0 || bn->neg == 0); 19695c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley} 19795c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley 19895c29f3cd1f6c08c6c0927868683392eea727ccAdam Langleyint BN_is_odd(const BIGNUM *bn) { 19995c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley return bn->top > 0 && (bn->d[0] & 1) == 1; 20095c29f3cd1f6c08c6c0927868683392eea727ccAdam Langley} 201