oscam-2.26.01-11942-802-wit.../cscrypt/bn_lib.c

776 lines
17 KiB
C
Raw Normal View History

#include "bn.h"
#ifndef WITH_LIBCRYPTO
//FIXME Not checked on threadsafety yet; after checking please remove this line
/* crypto/bn/bn_lib.c */
/* 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 license 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 license
* [including the GNU Public License.]
*/
#ifndef BN_DEBUG
# undef NDEBUG /* avoid conflicting definitions */
# define NDEBUG
#endif
#include <string.h>
#include <assert.h>
#include <limits.h>
#include <stdio.h>
#include "bn_lcl.h"
#include "openssl_mods.h"
//const char *BN_version="Big Number 42";
/* For a 32 bit machine
* 2 - 4 == 128
* 3 - 8 == 256
* 4 - 16 == 512
* 5 - 32 == 1024
* 6 - 64 == 2048
* 7 - 128 == 4096
* 8 - 256 == 8192
*/
static int bn_limit_bits = 0;
static int bn_limit_num = 8; /* (1<<bn_limit_bits) */
static int bn_limit_bits_low = 0;
static int bn_limit_num_low = 8; /* (1<<bn_limit_bits_low) */
static int bn_limit_bits_high = 0;
static int bn_limit_num_high = 8; /* (1<<bn_limit_bits_high) */
static int bn_limit_bits_mont = 0;
static int bn_limit_num_mont = 8; /* (1<<bn_limit_bits_mont) */
void BN_set_params(int mult, int high, int low, int mont)
{
if(mult >= 0)
{
if(mult > (int)(sizeof(int) * 8) - 1)
{ mult = sizeof(int) * 8 - 1; }
bn_limit_bits = mult;
bn_limit_num = 1 << mult;
}
if(high >= 0)
{
if(high > (int)(sizeof(int) * 8) - 1)
{ high = sizeof(int) * 8 - 1; }
bn_limit_bits_high = high;
bn_limit_num_high = 1 << high;
}
if(low >= 0)
{
if(low > (int)(sizeof(int) * 8) - 1)
{ low = sizeof(int) * 8 - 1; }
bn_limit_bits_low = low;
bn_limit_num_low = 1 << low;
}
if(mont >= 0)
{
if(mont > (int)(sizeof(int) * 8) - 1)
{ mont = sizeof(int) * 8 - 1; }
bn_limit_bits_mont = mont;
bn_limit_num_mont = 1 << mont;
}
}
int BN_get_params(int which)
{
if(which == 0) { return (bn_limit_bits); }
else if(which == 1) { return (bn_limit_bits_high); }
else if(which == 2) { return (bn_limit_bits_low); }
else if(which == 3) { return (bn_limit_bits_mont); }
else { return (0); }
}
const BIGNUM *BN_value_one(void)
{
static const BN_ULONG data_one = 1L;
static const BIGNUM const_one = {(BN_ULONG *) &data_one, 1, 1, 0, BN_FLG_STATIC_DATA};
return (&const_one);
}
char *BN_options(void)
{
static int init = 0;
static char data[16];
if(!init)
{
init++;
#ifdef BN_LLONG
snprintf(data, sizeof(data), "bn(%d,%d)", (int)sizeof(BN_ULLONG) * 8,
(int)sizeof(BN_ULONG) * 8);
#else
snprintf(data, sizeof(data), "bn(%d,%d)", (int)sizeof(BN_ULONG) * 8,
(int)sizeof(BN_ULONG) * 8);
#endif
}
return (data);
}
int BN_num_bits_word(BN_ULONG l)
{
static const char bits[256] =
{
0, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4,
5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5,
6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
};
#if defined(SIXTY_FOUR_BIT_LONG)
if(l & 0xffffffff00000000L)
{
if(l & 0xffff000000000000L)
{
if(l & 0xff00000000000000L)
{
return (bits[(int)(l >> 56)] + 56);
}
else { return (bits[(int)(l >> 48)] + 48); }
}
else
{
if(l & 0x0000ff0000000000L)
{
return (bits[(int)(l >> 40)] + 40);
}
else { return (bits[(int)(l >> 32)] + 32); }
}
}
else
#else
#ifdef SIXTY_FOUR_BIT
if(l & 0xffffffff00000000LL)
{
if(l & 0xffff000000000000LL)
{
if(l & 0xff00000000000000LL)
{
return (bits[(int)(l >> 56)] + 56);
}
else { return (bits[(int)(l >> 48)] + 48); }
}
else
{
if(l & 0x0000ff0000000000LL)
{
return (bits[(int)(l >> 40)] + 40);
}
else { return (bits[(int)(l >> 32)] + 32); }
}
}
else
#endif
#endif
{
#if defined(THIRTY_TWO_BIT) || defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG)
if(l & 0xffff0000L)
{
if(l & 0xff000000L)
{ return (bits[(int)(l >> 24L)] + 24); }
else { return (bits[(int)(l >> 16L)] + 16); }
}
else
#endif
{
#if defined(SIXTEEN_BIT) || defined(THIRTY_TWO_BIT) || defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG)
if(l & 0xff00L)
{ return (bits[(int)(l >> 8)] + 8); }
else
#endif
return (bits[(int)(l)]);
}
}
}
int BN_num_bits(const BIGNUM *a)
{
BN_ULONG l;
int i;
bn_check_top(a);
if(a->top == 0) { return (0); }
l = a->d[a->top - 1];
assert(l != 0);
i = (a->top - 1) * BN_BITS2;
return (i + BN_num_bits_word(l));
}
void BN_clear_free(BIGNUM *a)
{
int i;
if(a == NULL) { return; }
if(a->d != NULL)
{
memset(a->d, 0, a->dmax * sizeof(a->d[0]));
if(!(BN_get_flags(a, BN_FLG_STATIC_DATA)))
{ OPENSSL_free(a->d); }
}
i = BN_get_flags(a, BN_FLG_MALLOCED);
memset(a, 0, sizeof(BIGNUM));
if(i)
{ OPENSSL_free(a); }
}
void BN_free(BIGNUM *a)
{
if(a == NULL) { return; }
if((a->d != NULL) && !(BN_get_flags(a, BN_FLG_STATIC_DATA)))
{ OPENSSL_free(a->d); }
a->flags |= BN_FLG_FREE; /* REMOVE? */
if(a->flags & BN_FLG_MALLOCED)
{ OPENSSL_free(a); }
}
void BN_init(BIGNUM *a)
{
memset(a, 0, sizeof(BIGNUM));
}
BIGNUM *BN_new(void)
{
BIGNUM *ret;
if((ret = (BIGNUM *)OPENSSL_malloc(sizeof(BIGNUM))) == NULL)
{
return (NULL);
}
ret->flags = BN_FLG_MALLOCED;
ret->top = 0;
ret->neg = 0;
ret->dmax = 0;
ret->d = NULL;
return (ret);
}
/* This is an internal function that should not be used in applications.
* It ensures that 'b' has enough room for a 'words' word number number.
* It is mostly used by the various BIGNUM routines. If there is an error,
* NULL is returned. If not, 'b' is returned. */
BIGNUM *bn_expand2(BIGNUM *b, int words)
{
BN_ULONG *A, *a;
const BN_ULONG *B;
int i;
bn_check_top(b);
if(words > b->dmax)
{
if(words > (INT_MAX / (4 * BN_BITS2)))
{
return NULL;
}
bn_check_top(b);
if(BN_get_flags(b, BN_FLG_STATIC_DATA))
{
return (NULL);
}
a = A = (BN_ULONG *)OPENSSL_malloc(sizeof(BN_ULONG) * (words + 1));
if(A == NULL)
{
return (NULL);
}
#if 1
B = b->d;
/* Check if the previous number needs to be copied */
if(B != NULL)
{
#if 0
/* This lot is an unrolled loop to copy b->top
* BN_ULONGs from B to A
*/
/*
* I have nothing against unrolling but it's usually done for
* several reasons, namely:
* - minimize percentage of decision making code, i.e. branches;
* - avoid cache trashing;
* - make it possible to schedule loads earlier;
* Now let's examine the code below. The cornerstone of C is
* "programmer is always right" and that's what we love it for:-)
* For this very reason C compilers have to be paranoid when it
* comes to data aliasing and assume the worst. Yeah, but what
* does it mean in real life? This means that loop body below will
* be compiled to sequence of loads immediately followed by stores
* as compiler assumes the worst, something in A==B+1 style. As a
* result CPU pipeline is going to starve for incoming data. Secondly
* if A and B happen to share same cache line such code is going to
* cause severe cache trashing. Both factors have severe impact on
* performance of modern CPUs and this is the reason why this
* particular piece of code is #ifdefed away and replaced by more
* "friendly" version found in #else section below. This comment
* also applies to BN_copy function.
*
* <appro@fy.chalmers.se>
*/
for(i = b->top & (~7); i > 0; i -= 8)
{
A[0] = B[0];
A[1] = B[1];
A[2] = B[2];
A[3] = B[3];
A[4] = B[4];
A[5] = B[5];
A[6] = B[6];
A[7] = B[7];
A += 8;
B += 8;
}
switch(b->top & 7)
{
case 7:
A[6] = B[6];
case 6:
A[5] = B[5];
case 5:
A[4] = B[4];
case 4:
A[3] = B[3];
case 3:
A[2] = B[2];
case 2:
A[1] = B[1];
case 1:
A[0] = B[0];
case 0:
/* I need the 'case 0' entry for utrix cc.
* If the optimizer is turned on, it does the
* switch table by doing
* a=top&7
* a--;
* goto jump_table[a];
* If top is 0, this makes us jump to 0xffffffc
* which is rather bad :-(.
* eric 23-Apr-1998
*/
;
}
#else
for(i = b->top >> 2; i > 0; i--, A += 4, B += 4)
{
/*
* The fact that the loop is unrolled
* 4-wise is a tribute to Intel. It's
* the one that doesn't have enough
* registers to accomodate more data.
* I'd unroll it 8-wise otherwise:-)
*
* <appro@fy.chalmers.se>
*/
BN_ULONG a0, a1, a2, a3;
a0 = B[0];
a1 = B[1];
a2 = B[2];
a3 = B[3];
A[0] = a0;
A[1] = a1;
A[2] = a2;
A[3] = a3;
}
switch(b->top & 3)
{
case 3:
A[2] = B[2]; /* fallthrough */
case 2:
A[1] = B[1]; /* fallthrough */
case 1:
A[0] = B[0]; /* fallthrough */
case 0: ; /* ultrix cc workaround, see above */
}
#endif
OPENSSL_free(b->d);
}
b->d = a;
b->dmax = words;
/* Now need to zero any data between b->top and b->max */
A = &(b->d[b->top]);
for(i = (b->dmax - b->top) >> 3; i > 0; i--, A += 8)
{
A[0] = 0;
A[1] = 0;
A[2] = 0;
A[3] = 0;
A[4] = 0;
A[5] = 0;
A[6] = 0;
A[7] = 0;
}
for(i = (b->dmax - b->top) & 7; i > 0; i--, A++)
{ A[0] = 0; }
#else
memset(A, 0, sizeof(BN_ULONG) * (words + 1));
memcpy(A, b->d, sizeof(b->d[0])*b->top);
b->d = a;
b->max = words;
#endif
/* memset(&(p[b->max]),0,((words+1)-b->max)*sizeof(BN_ULONG)); */
/* { int i; for (i=b->max; i<words+1; i++) p[i]=i;} */
}
return (b);
}
BIGNUM *BN_dup(const BIGNUM *a)
{
BIGNUM *r;
if(a == NULL) { return NULL; }
bn_check_top(a);
r = BN_new();
if(r == NULL) { return (NULL); }
return ((BIGNUM *)BN_copy(r, a));
}
BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b)
{
int i;
BN_ULONG *A;
const BN_ULONG *B;
bn_check_top(b);
if(a == b) { return (a); }
if(bn_wexpand(a, b->top) == NULL) { return (NULL); }
#if 1
A = a->d;
B = b->d;
for(i = b->top >> 2; i > 0; i--, A += 4, B += 4)
{
BN_ULONG a0, a1, a2, a3;
a0 = B[0];
a1 = B[1];
a2 = B[2];
a3 = B[3];
A[0] = a0;
A[1] = a1;
A[2] = a2;
A[3] = a3;
}
switch(b->top & 3)
{
case 3:
A[2] = B[2]; /* fallthrough */
case 2:
A[1] = B[1]; /* fallthrough */
case 1:
A[0] = B[0]; /* fallthrough */
case 0: ; /* ultrix cc workaround, see comments in bn_expand2 */
}
#else
memcpy(a->d, b->d, sizeof(b->d[0])*b->top);
#endif
/* memset(&(a->d[b->top]),0,sizeof(a->d[0])*(a->max-b->top));*/
a->top = b->top;
if((a->top == 0) && (a->d != NULL))
{ a->d[0] = 0; }
a->neg = b->neg;
return (a);
}
void BN_clear(BIGNUM *a)
{
if(a->d != NULL)
{ memset(a->d, 0, a->dmax * sizeof(a->d[0])); }
a->top = 0;
a->neg = 0;
}
BN_ULONG BN_get_word(const BIGNUM *a)
{
if(a->top > 1)
{ return BN_MASK2; }
else if(a->top == 1)
{ return a->d[0]; }
/* a->top == 0 */
return 0;
}
int BN_set_word(BIGNUM *a, BN_ULONG w)
{
bn_check_top(a);
if(bn_expand(a, (int)sizeof(BN_ULONG) * 8) == NULL) { return (0); }
a->neg = 0;
a->d[0] = w;
a->top = (w ? 1 : 0);
bn_check_top(a);
return (1);
}
/* ignore negative */
BIGNUM *BN_bin2bn(const unsigned char *s, int len, BIGNUM *ret)
{
unsigned int i, m;
unsigned int n;
BN_ULONG l;
if(ret == NULL) { ret = BN_new(); }
if(ret == NULL) { return (NULL); }
l = 0;
n = len;
if(n == 0)
{
ret->top = 0;
return (ret);
}
if(bn_expand(ret, (int)(n + 2) * 8) == NULL)
{ return (NULL); }
i = ((n - 1) / BN_BYTES) + 1;
m = ((n - 1) % (BN_BYTES));
ret->top = i;
while(n-- > 0)
{
l = (l << 8L) | *(s++);
if(m-- == 0)
{
ret->d[--i] = l;
l = 0;
m = BN_BYTES - 1;
}
}
/* need to call this due to clear byte at top if avoiding
* having the top bit set (-ve number) */
bn_fix_top(ret);
return (ret);
}
/* ignore negative */
int BN_bn2bin(const BIGNUM *a, unsigned char *to)
{
int n, i;
BN_ULONG l;
n = i = BN_num_bytes(a);
while(i-- > 0)
{
l = a->d[i / BN_BYTES];
*(to++) = (unsigned char)(l >> (8 * (i % BN_BYTES))) & 0xff;
}
return (n);
}
int BN_ucmp(const BIGNUM *a, const BIGNUM *b)
{
int i;
BN_ULONG t1, t2, *ap, *bp;
bn_check_top(a);
bn_check_top(b);
i = a->top - b->top;
if(i != 0) { return (i); }
ap = a->d;
bp = b->d;
for(i = a->top - 1; i >= 0; i--)
{
t1 = ap[i];
t2 = bp[i];
if(t1 != t2)
{ return (t1 > t2 ? 1 : -1); }
}
return (0);
}
int BN_cmp(const BIGNUM *a, const BIGNUM *b)
{
int i;
int gt, lt;
BN_ULONG t1, t2;
if((a == NULL) || (b == NULL))
{
if(a != NULL)
{ return (-1); }
else if(b != NULL)
{ return (1); }
else
{ return (0); }
}
bn_check_top(a);
bn_check_top(b);
if(a->neg != b->neg)
{
if(a->neg)
{ return (-1); }
else { return (1); }
}
if(a->neg == 0)
{
gt = 1;
lt = -1;
}
else
{
gt = -1;
lt = 1;
}
if(a->top > b->top) { return (gt); }
if(a->top < b->top) { return (lt); }
for(i = a->top - 1; i >= 0; i--)
{
t1 = a->d[i];
t2 = b->d[i];
if(t1 > t2) { return (gt); }
if(t1 < t2) { return (lt); }
}
return (0);
}
int BN_set_bit(BIGNUM *a, int n)
{
int i, j, k;
i = n / BN_BITS2;
j = n % BN_BITS2;
if(a->top <= i)
{
if(bn_wexpand(a, i + 1) == NULL) { return (0); }
for(k = a->top; k < i + 1; k++)
{ a->d[k] = 0; }
a->top = i + 1;
}
a->d[i] |= (((BN_ULONG)1) << j);
return (1);
}
int BN_clear_bit(BIGNUM *a, int n)
{
int i, j;
i = n / BN_BITS2;
j = n % BN_BITS2;
if(a->top <= i) { return (0); }
a->d[i] &= (~(((BN_ULONG)1) << j));
bn_fix_top(a);
return (1);
}
int BN_is_bit_set(const BIGNUM *a, int n)
{
int i, j;
if(n < 0) { return (0); }
i = n / BN_BITS2;
j = n % BN_BITS2;
if(a->top <= i) { return (0); }
return ((a->d[i] & (((BN_ULONG)1) << j)) ? 1 : 0);
}
int BN_mask_bits(BIGNUM *a, int n)
{
int b, w;
w = n / BN_BITS2;
b = n % BN_BITS2;
if(w >= a->top) { return (0); }
if(b == 0)
{ a->top = w; }
else
{
a->top = w + 1;
a->d[w] &= ~(BN_MASK2 << b);
}
bn_fix_top(a);
return (1);
}
int bn_cmp_words(BN_ULONG *a, BN_ULONG *b, int n)
{
int i;
BN_ULONG aa, bb;
aa = a[n - 1];
bb = b[n - 1];
if(aa != bb) { return ((aa > bb) ? 1 : -1); }
for(i = n - 2; i >= 0; i--)
{
aa = a[i];
bb = b[i];
if(aa != bb) { return ((aa > bb) ? 1 : -1); }
}
return (0);
}
#endif