1d9e397b599b13d642138480a28c14db7a136bf0Adam Langley/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
2d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * All rights reserved.
3d9e397b599b13d642138480a28c14db7a136bf0Adam Langley *
4d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * This package is an SSL implementation written
5d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * by Eric Young (eay@cryptsoft.com).
6d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * The implementation was written so as to conform with Netscapes SSL.
7d9e397b599b13d642138480a28c14db7a136bf0Adam Langley *
8d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * This library is free for commercial and non-commercial use as long as
9d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * the following conditions are aheared to.  The following conditions
10d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * apply to all code found in this distribution, be it the RC4, RSA,
11d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * lhash, DES, etc., code; not just the SSL code.  The SSL documentation
12d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * included with this distribution is covered by the same copyright terms
13d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * except that the holder is Tim Hudson (tjh@cryptsoft.com).
14d9e397b599b13d642138480a28c14db7a136bf0Adam Langley *
15d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * Copyright remains Eric Young's, and as such any Copyright notices in
16d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * the code are not to be removed.
17d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * If this package is used in a product, Eric Young should be given attribution
18d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * as the author of the parts of the library used.
19d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * This can be in the form of a textual message at program startup or
20d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * in documentation (online or textual) provided with the package.
21d9e397b599b13d642138480a28c14db7a136bf0Adam Langley *
22d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * Redistribution and use in source and binary forms, with or without
23d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * modification, are permitted provided that the following conditions
24d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * are met:
25d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * 1. Redistributions of source code must retain the copyright
26d9e397b599b13d642138480a28c14db7a136bf0Adam Langley *    notice, this list of conditions and the following disclaimer.
27d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * 2. Redistributions in binary form must reproduce the above copyright
28d9e397b599b13d642138480a28c14db7a136bf0Adam Langley *    notice, this list of conditions and the following disclaimer in the
29d9e397b599b13d642138480a28c14db7a136bf0Adam Langley *    documentation and/or other materials provided with the distribution.
30d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * 3. All advertising materials mentioning features or use of this software
31d9e397b599b13d642138480a28c14db7a136bf0Adam Langley *    must display the following acknowledgement:
32d9e397b599b13d642138480a28c14db7a136bf0Adam Langley *    "This product includes cryptographic software written by
33d9e397b599b13d642138480a28c14db7a136bf0Adam Langley *     Eric Young (eay@cryptsoft.com)"
34d9e397b599b13d642138480a28c14db7a136bf0Adam Langley *    The word 'cryptographic' can be left out if the rouines from the library
35d9e397b599b13d642138480a28c14db7a136bf0Adam Langley *    being used are not cryptographic related :-).
36d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * 4. If you include any Windows specific code (or a derivative thereof) from
37d9e397b599b13d642138480a28c14db7a136bf0Adam Langley *    the apps directory (application code) you must include an acknowledgement:
38d9e397b599b13d642138480a28c14db7a136bf0Adam Langley *    "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
39d9e397b599b13d642138480a28c14db7a136bf0Adam Langley *
40d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
41d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
42d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
43d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
44d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
45d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
46d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
47d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
48d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
49d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
50d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * SUCH DAMAGE.
51d9e397b599b13d642138480a28c14db7a136bf0Adam Langley *
52d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * The licence and distribution terms for any publically available version or
53d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * derivative of this code cannot be changed.  i.e. this code cannot simply be
54d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * copied and put under another distribution licence
55d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * [including the GNU Public Licence.] */
56d9e397b599b13d642138480a28c14db7a136bf0Adam Langley
57d9e397b599b13d642138480a28c14db7a136bf0Adam Langley#include <openssl/bn.h>
58d9e397b599b13d642138480a28c14db7a136bf0Adam Langley
59d9e397b599b13d642138480a28c14db7a136bf0Adam Langley#include "internal.h"
60d9e397b599b13d642138480a28c14db7a136bf0Adam Langley
61d9e397b599b13d642138480a28c14db7a136bf0Adam Langley
62d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint BN_ucmp(const BIGNUM *a, const BIGNUM *b) {
63d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  int i;
64d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  BN_ULONG t1, t2, *ap, *bp;
65d9e397b599b13d642138480a28c14db7a136bf0Adam Langley
66d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  i = a->top - b->top;
67d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  if (i != 0) {
68d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    return i;
69d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  }
70d9e397b599b13d642138480a28c14db7a136bf0Adam Langley
71d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  ap = a->d;
72d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  bp = b->d;
73d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  for (i = a->top - 1; i >= 0; i--) {
74d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    t1 = ap[i];
75d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    t2 = bp[i];
76d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    if (t1 != t2) {
77d9e397b599b13d642138480a28c14db7a136bf0Adam Langley      return (t1 > t2) ? 1 : -1;
78d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    }
79d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  }
80d9e397b599b13d642138480a28c14db7a136bf0Adam Langley
81d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  return 0;
82d9e397b599b13d642138480a28c14db7a136bf0Adam Langley}
83d9e397b599b13d642138480a28c14db7a136bf0Adam Langley
84d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint BN_cmp(const BIGNUM *a, const BIGNUM *b) {
85d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  int i;
86d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  int gt, lt;
87d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  BN_ULONG t1, t2;
88d9e397b599b13d642138480a28c14db7a136bf0Adam Langley
89d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  if ((a == NULL) || (b == NULL)) {
90d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    if (a != NULL) {
91d9e397b599b13d642138480a28c14db7a136bf0Adam Langley      return -1;
92d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    } else if (b != NULL) {
93d9e397b599b13d642138480a28c14db7a136bf0Adam Langley      return 1;
94d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    } else {
95d9e397b599b13d642138480a28c14db7a136bf0Adam Langley      return 0;
96d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    }
97d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  }
98d9e397b599b13d642138480a28c14db7a136bf0Adam Langley
99d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  if (a->neg != b->neg) {
100d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    if (a->neg) {
101d9e397b599b13d642138480a28c14db7a136bf0Adam Langley      return -1;
102d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    }
103d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    return 1;
104d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  }
105d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  if (a->neg == 0) {
106d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    gt = 1;
107d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    lt = -1;
108d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  } else {
109d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    gt = -1;
110d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    lt = 1;
111d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  }
112d9e397b599b13d642138480a28c14db7a136bf0Adam Langley
113d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  if (a->top > b->top) {
114d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    return gt;
115d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  }
116d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  if (a->top < b->top) {
117d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    return lt;
118d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  }
119d9e397b599b13d642138480a28c14db7a136bf0Adam Langley
120d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  for (i = a->top - 1; i >= 0; i--) {
121d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    t1 = a->d[i];
122d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    t2 = b->d[i];
123d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    if (t1 > t2) {
124d9e397b599b13d642138480a28c14db7a136bf0Adam Langley      return gt;
125d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    } if (t1 < t2) {
126d9e397b599b13d642138480a28c14db7a136bf0Adam Langley      return lt;
127d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    }
128d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  }
129d9e397b599b13d642138480a28c14db7a136bf0Adam Langley
130d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  return 0;
131d9e397b599b13d642138480a28c14db7a136bf0Adam Langley}
132d9e397b599b13d642138480a28c14db7a136bf0Adam Langley
133d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n) {
134d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  int i;
135d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  BN_ULONG aa, bb;
136d9e397b599b13d642138480a28c14db7a136bf0Adam Langley
137d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  aa = a[n - 1];
138d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  bb = b[n - 1];
139d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  if (aa != bb) {
140d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    return (aa > bb) ? 1 : -1;
141d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  }
142d9e397b599b13d642138480a28c14db7a136bf0Adam Langley
143d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  for (i = n - 2; i >= 0; i--) {
144d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    aa = a[i];
145d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    bb = b[i];
146d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    if (aa != bb) {
147d9e397b599b13d642138480a28c14db7a136bf0Adam Langley      return (aa > bb) ? 1 : -1;
148d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    }
149d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  }
150d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  return 0;
151d9e397b599b13d642138480a28c14db7a136bf0Adam Langley}
152d9e397b599b13d642138480a28c14db7a136bf0Adam Langley
153d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b, int cl, int dl) {
154d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  int n, i;
155d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  n = cl - 1;
156d9e397b599b13d642138480a28c14db7a136bf0Adam Langley
157d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  if (dl < 0) {
158d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    for (i = dl; i < 0; i++) {
159d9e397b599b13d642138480a28c14db7a136bf0Adam Langley      if (b[n - i] != 0) {
160d9e397b599b13d642138480a28c14db7a136bf0Adam Langley        return -1; /* a < b */
161d9e397b599b13d642138480a28c14db7a136bf0Adam Langley      }
162d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    }
163d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  }
164d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  if (dl > 0) {
165d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    for (i = dl; i > 0; i--) {
166d9e397b599b13d642138480a28c14db7a136bf0Adam Langley      if (a[n + i] != 0) {
167d9e397b599b13d642138480a28c14db7a136bf0Adam Langley        return 1; /* a > b */
168d9e397b599b13d642138480a28c14db7a136bf0Adam Langley      }
169d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    }
170d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  }
171d9e397b599b13d642138480a28c14db7a136bf0Adam Langley
172d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  return bn_cmp_words(a, b, cl);
173d9e397b599b13d642138480a28c14db7a136bf0Adam Langley}
174d9e397b599b13d642138480a28c14db7a136bf0Adam Langley
175d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint BN_abs_is_word(const BIGNUM *bn, BN_ULONG w) {
176d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  switch (bn->top) {
177d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    case 1:
178d9e397b599b13d642138480a28c14db7a136bf0Adam Langley      return bn->d[0] == w;
179d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    case 0:
180d9e397b599b13d642138480a28c14db7a136bf0Adam Langley      return w == 0;
181d9e397b599b13d642138480a28c14db7a136bf0Adam Langley    default:
182d9e397b599b13d642138480a28c14db7a136bf0Adam Langley      return 0;
183d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  }
184d9e397b599b13d642138480a28c14db7a136bf0Adam Langley}
185d9e397b599b13d642138480a28c14db7a136bf0Adam Langley
186d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint BN_is_zero(const BIGNUM *bn) {
187d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  return bn->top == 0;
188d9e397b599b13d642138480a28c14db7a136bf0Adam Langley}
189d9e397b599b13d642138480a28c14db7a136bf0Adam Langley
190d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint BN_is_one(const BIGNUM *bn) {
191d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  return bn->neg == 0 && BN_abs_is_word(bn, 1);
192d9e397b599b13d642138480a28c14db7a136bf0Adam Langley}
193d9e397b599b13d642138480a28c14db7a136bf0Adam Langley
194d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint BN_is_word(const BIGNUM *bn, BN_ULONG w) {
195d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  return BN_abs_is_word(bn, w) && (w == 0 || bn->neg == 0);
196d9e397b599b13d642138480a28c14db7a136bf0Adam Langley}
197d9e397b599b13d642138480a28c14db7a136bf0Adam Langley
198d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint BN_is_odd(const BIGNUM *bn) {
199d9e397b599b13d642138480a28c14db7a136bf0Adam Langley  return bn->top > 0 && (bn->d[0] & 1) == 1;
200d9e397b599b13d642138480a28c14db7a136bf0Adam Langley}
201