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