776 lines
17 KiB
C
776 lines
17 KiB
C
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#include "bn.h"
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#ifndef WITH_LIBCRYPTO
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//FIXME Not checked on threadsafety yet; after checking please remove this line
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/* crypto/bn/bn_lib.c */
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/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
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* All rights reserved.
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*
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* This package is an SSL implementation written
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* by Eric Young (eay@cryptsoft.com).
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* The implementation was written so as to conform with Netscapes SSL.
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*
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* This library is free for commercial and non-commercial use as long as
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* the following conditions are aheared to. The following conditions
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* apply to all code found in this distribution, be it the RC4, RSA,
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* lhash, DES, etc., code; not just the SSL code. The SSL documentation
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* included with this distribution is covered by the same copyright terms
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* except that the holder is Tim Hudson (tjh@cryptsoft.com).
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*
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* Copyright remains Eric Young's, and as such any Copyright notices in
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* the code are not to be removed.
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* If this package is used in a product, Eric Young should be given attribution
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* as the author of the parts of the library used.
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* This can be in the form of a textual message at program startup or
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* in documentation (online or textual) provided with the package.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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* 1. Redistributions of source code must retain the copyright
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* notice, this list of conditions and the following disclaimer.
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in the
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* documentation and/or other materials provided with the distribution.
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* 3. All advertising materials mentioning features or use of this software
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* must display the following acknowledgement:
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* "This product includes cryptographic software written by
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* Eric Young (eay@cryptsoft.com)"
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* The word 'cryptographic' can be left out if the rouines from the library
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* being used are not cryptographic related :-).
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* 4. If you include any Windows specific code (or a derivative thereof) from
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* the apps directory (application code) you must include an acknowledgement:
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* "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
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*
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* THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
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* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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* ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
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* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
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* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
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* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
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* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
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* SUCH DAMAGE.
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*
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* The license and distribution terms for any publically available version or
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* derivative of this code cannot be changed. i.e. this code cannot simply be
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* copied and put under another distribution license
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* [including the GNU Public License.]
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*/
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#ifndef BN_DEBUG
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# undef NDEBUG /* avoid conflicting definitions */
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# define NDEBUG
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#endif
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#include <string.h>
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#include <assert.h>
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#include <limits.h>
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#include <stdio.h>
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#include "bn_lcl.h"
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#include "openssl_mods.h"
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//const char *BN_version="Big Number 42";
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/* For a 32 bit machine
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* 2 - 4 == 128
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* 3 - 8 == 256
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* 4 - 16 == 512
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* 5 - 32 == 1024
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* 6 - 64 == 2048
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* 7 - 128 == 4096
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* 8 - 256 == 8192
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*/
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static int bn_limit_bits = 0;
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static int bn_limit_num = 8; /* (1<<bn_limit_bits) */
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static int bn_limit_bits_low = 0;
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static int bn_limit_num_low = 8; /* (1<<bn_limit_bits_low) */
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static int bn_limit_bits_high = 0;
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static int bn_limit_num_high = 8; /* (1<<bn_limit_bits_high) */
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static int bn_limit_bits_mont = 0;
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static int bn_limit_num_mont = 8; /* (1<<bn_limit_bits_mont) */
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void BN_set_params(int mult, int high, int low, int mont)
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{
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if(mult >= 0)
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{
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if(mult > (int)(sizeof(int) * 8) - 1)
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{ mult = sizeof(int) * 8 - 1; }
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bn_limit_bits = mult;
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bn_limit_num = 1 << mult;
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}
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if(high >= 0)
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{
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if(high > (int)(sizeof(int) * 8) - 1)
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{ high = sizeof(int) * 8 - 1; }
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bn_limit_bits_high = high;
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bn_limit_num_high = 1 << high;
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}
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if(low >= 0)
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{
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if(low > (int)(sizeof(int) * 8) - 1)
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{ low = sizeof(int) * 8 - 1; }
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bn_limit_bits_low = low;
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bn_limit_num_low = 1 << low;
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}
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if(mont >= 0)
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{
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if(mont > (int)(sizeof(int) * 8) - 1)
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{ mont = sizeof(int) * 8 - 1; }
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bn_limit_bits_mont = mont;
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bn_limit_num_mont = 1 << mont;
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}
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}
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int BN_get_params(int which)
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{
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if(which == 0) { return (bn_limit_bits); }
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else if(which == 1) { return (bn_limit_bits_high); }
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else if(which == 2) { return (bn_limit_bits_low); }
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else if(which == 3) { return (bn_limit_bits_mont); }
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else { return (0); }
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}
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const BIGNUM *BN_value_one(void)
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{
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static const BN_ULONG data_one = 1L;
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static const BIGNUM const_one = {(BN_ULONG *) &data_one, 1, 1, 0, BN_FLG_STATIC_DATA};
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return (&const_one);
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}
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char *BN_options(void)
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{
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static int init = 0;
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static char data[16];
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if(!init)
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{
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init++;
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#ifdef BN_LLONG
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snprintf(data, sizeof(data), "bn(%d,%d)", (int)sizeof(BN_ULLONG) * 8,
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(int)sizeof(BN_ULONG) * 8);
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#else
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snprintf(data, sizeof(data), "bn(%d,%d)", (int)sizeof(BN_ULONG) * 8,
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(int)sizeof(BN_ULONG) * 8);
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#endif
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}
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return (data);
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}
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int BN_num_bits_word(BN_ULONG l)
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{
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static const char bits[256] =
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{
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0, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4,
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5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5,
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6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
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6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
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7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
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7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
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7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
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7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
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8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
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8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
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8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
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8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
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8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
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8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
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8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
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8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
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};
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#if defined(SIXTY_FOUR_BIT_LONG)
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if(l & 0xffffffff00000000L)
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{
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if(l & 0xffff000000000000L)
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{
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if(l & 0xff00000000000000L)
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{
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return (bits[(int)(l >> 56)] + 56);
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}
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else { return (bits[(int)(l >> 48)] + 48); }
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}
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else
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{
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if(l & 0x0000ff0000000000L)
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{
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return (bits[(int)(l >> 40)] + 40);
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}
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else { return (bits[(int)(l >> 32)] + 32); }
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}
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}
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else
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#else
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#ifdef SIXTY_FOUR_BIT
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if(l & 0xffffffff00000000LL)
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{
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if(l & 0xffff000000000000LL)
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{
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if(l & 0xff00000000000000LL)
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{
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return (bits[(int)(l >> 56)] + 56);
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}
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else { return (bits[(int)(l >> 48)] + 48); }
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}
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else
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{
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if(l & 0x0000ff0000000000LL)
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{
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return (bits[(int)(l >> 40)] + 40);
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}
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else { return (bits[(int)(l >> 32)] + 32); }
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}
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}
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else
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#endif
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#endif
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{
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#if defined(THIRTY_TWO_BIT) || defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG)
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if(l & 0xffff0000L)
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{
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if(l & 0xff000000L)
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{ return (bits[(int)(l >> 24L)] + 24); }
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else { return (bits[(int)(l >> 16L)] + 16); }
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}
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else
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#endif
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{
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#if defined(SIXTEEN_BIT) || defined(THIRTY_TWO_BIT) || defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG)
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if(l & 0xff00L)
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{ return (bits[(int)(l >> 8)] + 8); }
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else
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#endif
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return (bits[(int)(l)]);
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}
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}
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}
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int BN_num_bits(const BIGNUM *a)
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{
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BN_ULONG l;
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int i;
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bn_check_top(a);
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if(a->top == 0) { return (0); }
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l = a->d[a->top - 1];
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assert(l != 0);
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i = (a->top - 1) * BN_BITS2;
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return (i + BN_num_bits_word(l));
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}
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void BN_clear_free(BIGNUM *a)
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{
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int i;
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if(a == NULL) { return; }
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if(a->d != NULL)
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{
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memset(a->d, 0, a->dmax * sizeof(a->d[0]));
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if(!(BN_get_flags(a, BN_FLG_STATIC_DATA)))
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{ OPENSSL_free(a->d); }
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}
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i = BN_get_flags(a, BN_FLG_MALLOCED);
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memset(a, 0, sizeof(BIGNUM));
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if(i)
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{ OPENSSL_free(a); }
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}
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void BN_free(BIGNUM *a)
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{
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if(a == NULL) { return; }
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if((a->d != NULL) && !(BN_get_flags(a, BN_FLG_STATIC_DATA)))
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{ OPENSSL_free(a->d); }
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a->flags |= BN_FLG_FREE; /* REMOVE? */
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if(a->flags & BN_FLG_MALLOCED)
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{ OPENSSL_free(a); }
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}
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void BN_init(BIGNUM *a)
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{
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memset(a, 0, sizeof(BIGNUM));
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}
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BIGNUM *BN_new(void)
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{
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BIGNUM *ret;
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if((ret = (BIGNUM *)OPENSSL_malloc(sizeof(BIGNUM))) == NULL)
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{
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return (NULL);
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}
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ret->flags = BN_FLG_MALLOCED;
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ret->top = 0;
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ret->neg = 0;
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ret->dmax = 0;
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ret->d = NULL;
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return (ret);
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}
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/* This is an internal function that should not be used in applications.
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* It ensures that 'b' has enough room for a 'words' word number number.
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* It is mostly used by the various BIGNUM routines. If there is an error,
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* NULL is returned. If not, 'b' is returned. */
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BIGNUM *bn_expand2(BIGNUM *b, int words)
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{
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BN_ULONG *A, *a;
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const BN_ULONG *B;
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int i;
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bn_check_top(b);
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if(words > b->dmax)
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{
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if(words > (INT_MAX / (4 * BN_BITS2)))
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{
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return NULL;
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}
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bn_check_top(b);
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if(BN_get_flags(b, BN_FLG_STATIC_DATA))
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{
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return (NULL);
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}
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a = A = (BN_ULONG *)OPENSSL_malloc(sizeof(BN_ULONG) * (words + 1));
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if(A == NULL)
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{
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return (NULL);
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}
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#if 1
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B = b->d;
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/* Check if the previous number needs to be copied */
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if(B != NULL)
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{
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#if 0
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/* This lot is an unrolled loop to copy b->top
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* BN_ULONGs from B to A
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*/
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/*
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* I have nothing against unrolling but it's usually done for
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* several reasons, namely:
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|
|
* - 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
|