478 lines
16 KiB
C
478 lines
16 KiB
C
/* crypto/bn/bn.h */
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/* Copyright (C) 1995-1997 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 licence 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 licence
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* [including the GNU Public Licence.]
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*/
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#ifndef HEADER_BN_H
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#define HEADER_BN_H
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#ifndef WIN16
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#include <stdio.h> /* FILE */
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#endif
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#include <openssl/opensslconf.h>
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#ifdef __cplusplus
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extern "C" {
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#endif
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#ifdef VMS
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#undef BN_LLONG /* experimental, so far... */
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#endif
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#define BN_MUL_COMBA
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#define BN_SQR_COMBA
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#define BN_RECURSION
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#define RECP_MUL_MOD
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#define MONT_MUL_MOD
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/* This next option uses the C libraries (2 word)/(1 word) function.
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* If it is not defined, I use my C version (which is slower).
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* The reason for this flag is that when the particular C compiler
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* library routine is used, and the library is linked with a different
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* compiler, the library is missing. This mostly happens when the
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* library is built with gcc and then linked using nornal cc. This would
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* be a common occurance because gcc normally produces code that is
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* 2 times faster than system compilers for the big number stuff.
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* For machines with only one compiler (or shared libraries), this should
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* be on. Again this in only really a problem on machines
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* using "long long's", are 32bit, and are not using my assember code. */
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#if defined(MSDOS) || defined(WINDOWS) || defined(linux)
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#define BN_DIV2W
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#endif
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/* assuming long is 64bit - this is the DEC Alpha
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* unsigned long long is only 64 bits :-(, don't define
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* BN_LLONG for the DEC Alpha */
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#ifdef SIXTY_FOUR_BIT_LONG
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#define BN_ULLONG unsigned long long
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#define BN_ULONG unsigned long
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#define BN_LONG long
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#define BN_BITS 128
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#define BN_BYTES 8
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#define BN_BITS2 64
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#define BN_BITS4 32
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#define BN_MASK (0xffffffffffffffffffffffffffffffffLL)
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#define BN_MASK2 (0xffffffffffffffffL)
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#define BN_MASK2l (0xffffffffL)
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#define BN_MASK2h (0xffffffff00000000L)
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#define BN_MASK2h1 (0xffffffff80000000L)
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#define BN_TBIT (0x8000000000000000L)
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#define BN_DEC_CONV (10000000000000000000UL)
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#define BN_DEC_FMT1 "%lu"
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#define BN_DEC_FMT2 "%019lu"
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#define BN_DEC_NUM 19
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#endif
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/* This is where the long long data type is 64 bits, but long is 32.
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* For machines where there are 64bit registers, this is the mode to use.
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* IRIX, on R4000 and above should use this mode, along with the relevent
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* assember code :-). Do NOT define BN_ULLONG.
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*/
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#ifdef SIXTY_FOUR_BIT
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#define BN_LLONG
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/* #define BN_ULLONG unsigned long long */
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#define BN_ULONG unsigned long long
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#define BN_LONG long long
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#define BN_BITS 128
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#define BN_BYTES 8
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#define BN_BITS2 64
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#define BN_BITS4 32
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#define BN_MASK2 (0xffffffffffffffffLL)
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#define BN_MASK2l (0xffffffffL)
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#define BN_MASK2h (0xffffffff00000000LL)
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#define BN_MASK2h1 (0xffffffff80000000LL)
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#define BN_TBIT (0x8000000000000000LL)
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#define BN_DEC_CONV (10000000000000000000LL)
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#define BN_DEC_FMT1 "%llu"
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#define BN_DEC_FMT2 "%019llu"
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#define BN_DEC_NUM 19
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#endif
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#ifdef THIRTY_TWO_BIT
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#ifdef WIN32
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#define BN_ULLONG unsigned _int64
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#else
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#define BN_ULLONG unsigned long long
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#endif
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#define BN_ULONG unsigned long
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#define BN_LONG long
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#define BN_BITS 64
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#define BN_BYTES 4
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#define BN_BITS2 32
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#define BN_BITS4 16
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#ifdef WIN32
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/* VC++ doesn't like the LL suffix */
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#define BN_MASK (0xffffffffffffffffL)
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#else
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#define BN_MASK (0xffffffffffffffffLL)
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#endif
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#define BN_MASK2 (0xffffffffL)
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#define BN_MASK2l (0xffff)
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#define BN_MASK2h1 (0xffff8000L)
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#define BN_MASK2h (0xffff0000L)
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#define BN_TBIT (0x80000000L)
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#define BN_DEC_CONV (1000000000L)
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#define BN_DEC_FMT1 "%lu"
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#define BN_DEC_FMT2 "%09lu"
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#define BN_DEC_NUM 9
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#endif
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#ifdef SIXTEEN_BIT
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#ifndef BN_DIV2W
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#define BN_DIV2W
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#endif
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#define BN_ULLONG unsigned long
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#define BN_ULONG unsigned short
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#define BN_LONG short
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#define BN_BITS 32
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#define BN_BYTES 2
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#define BN_BITS2 16
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#define BN_BITS4 8
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#define BN_MASK (0xffffffff)
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#define BN_MASK2 (0xffff)
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#define BN_MASK2l (0xff)
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#define BN_MASK2h1 (0xff80)
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#define BN_MASK2h (0xff00)
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#define BN_TBIT (0x8000)
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#define BN_DEC_CONV (100000)
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#define BN_DEC_FMT1 "%u"
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#define BN_DEC_FMT2 "%05u"
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#define BN_DEC_NUM 5
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#endif
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#ifdef EIGHT_BIT
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#ifndef BN_DIV2W
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#define BN_DIV2W
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#endif
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#define BN_ULLONG unsigned short
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#define BN_ULONG unsigned char
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#define BN_LONG char
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#define BN_BITS 16
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#define BN_BYTES 1
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#define BN_BITS2 8
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#define BN_BITS4 4
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#define BN_MASK (0xffff)
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#define BN_MASK2 (0xff)
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#define BN_MASK2l (0xf)
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#define BN_MASK2h1 (0xf8)
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#define BN_MASK2h (0xf0)
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#define BN_TBIT (0x80)
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#define BN_DEC_CONV (100)
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#define BN_DEC_FMT1 "%u"
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#define BN_DEC_FMT2 "%02u"
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#define BN_DEC_NUM 2
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#endif
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#define BN_DEFAULT_BITS 1280
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#ifdef BIGNUM
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#undef BIGNUM
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#endif
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#define BN_FLG_MALLOCED 0x01
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#define BN_FLG_STATIC_DATA 0x02
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#define BN_FLG_FREE 0x8000 /* used for debuging */
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#define BN_set_flags(b,n) ((b)->flags|=(n))
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#define BN_get_flags(b,n) ((b)->flags&(n))
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typedef struct bignum_st
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{
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BN_ULONG *d; /* Pointer to an array of 'BN_BITS2' bit chunks. */
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int top; /* Index of last used d +1. */
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/* The next are internal book keeping for bn_expand. */
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int max; /* Size of the d array. */
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int neg; /* one if the number is negative */
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int flags;
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} BIGNUM;
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/* Used for temp variables */
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#define BN_CTX_NUM 12
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typedef struct bignum_ctx
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{
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int tos;
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BIGNUM bn[BN_CTX_NUM+1];
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int flags;
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} BN_CTX;
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typedef struct bn_blinding_st
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{
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int init;
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BIGNUM *A;
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BIGNUM *Ai;
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BIGNUM *mod; /* just a reference */
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} BN_BLINDING;
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/* Used for montgomery multiplication */
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typedef struct bn_mont_ctx_st
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{
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int use_word; /* 0 for word form, 1 for long form */
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int ri; /* number of bits in R */
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BIGNUM RR; /* used to convert to montgomery form */
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BIGNUM N; /* The modulus */
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BIGNUM Ni; /* The inverse of N */
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BN_ULONG n0; /* word form of inverse, normally only one of
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* Ni or n0 is defined */
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int flags;
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} BN_MONT_CTX;
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/* Used for reciprocal division/mod functions
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* It cannot be shared between threads
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*/
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typedef struct bn_recp_ctx_st
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{
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BIGNUM N; /* the divisor */
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BIGNUM Nr; /* the reciprocal */
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int num_bits;
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int shift;
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int flags;
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} BN_RECP_CTX;
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#define BN_to_montgomery(r,a,mont,ctx) BN_mod_mul_montgomery(\
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r,a,&((mont)->RR),(mont),ctx)
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#define BN_prime_checks (5)
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#define BN_num_bytes(a) ((BN_num_bits(a)+7)/8)
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#define BN_is_word(a,w) (((a)->top == 1) && ((a)->d[0] == (BN_ULONG)(w)))
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#define BN_is_zero(a) (((a)->top == 0) || BN_is_word(a,0))
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#define BN_is_one(a) (BN_is_word((a),1))
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#define BN_is_odd(a) (((a)->top > 0) && ((a)->d[0] & 1))
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#define BN_one(a) (BN_set_word((a),1))
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#define BN_zero(a) (BN_set_word((a),0))
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/*#define BN_ascii2bn(a) BN_hex2bn(a) */
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/*#define BN_bn2ascii(a) BN_bn2hex(a) */
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#define bn_expand(n,b) ((((((b+BN_BITS2-1))/BN_BITS2)) <= (n)->max)?\
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(n):bn_expand2((n),(b)/BN_BITS2+1))
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#define bn_wexpand(n,b) (((b) <= (n)->max)?(n):bn_expand2((n),(b)))
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#define bn_fix_top(a) \
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{ \
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BN_ULONG *ftl; \
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if ((a)->top > 0) \
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{ \
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for (ftl= &((a)->d[(a)->top-1]); (a)->top > 0; (a)->top--) \
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if (*(ftl--)) break; \
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} \
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}
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BIGNUM *BN_value_one(void);
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char * BN_options(void);
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BN_CTX *BN_CTX_new(void);
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void BN_CTX_init(BN_CTX *c);
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void BN_CTX_free(BN_CTX *c);
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int BN_rand(BIGNUM *rnd, int bits, int top,int bottom);
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int BN_num_bits(BIGNUM *a);
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int BN_num_bits_word(BN_ULONG);
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BIGNUM *BN_new(void);
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void BN_init(BIGNUM *);
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void BN_clear_free(BIGNUM *a);
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BIGNUM *BN_copy(BIGNUM *a, BIGNUM *b);
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BIGNUM *BN_bin2bn(const unsigned char *s,int len,BIGNUM *ret);
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int BN_bn2bin(BIGNUM *a, unsigned char *to);
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BIGNUM *BN_mpi2bn(unsigned char *s,int len,BIGNUM *ret);
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int BN_bn2mpi(BIGNUM *a, unsigned char *to);
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int BN_sub(BIGNUM *r, BIGNUM *a, BIGNUM *b);
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int BN_usub(BIGNUM *r, BIGNUM *a, BIGNUM *b);
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int BN_uadd(BIGNUM *r, BIGNUM *a, BIGNUM *b);
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int BN_add(BIGNUM *r, BIGNUM *a, BIGNUM *b);
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int BN_mod(BIGNUM *rem, BIGNUM *m, BIGNUM *d, BN_CTX *ctx);
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int BN_div(BIGNUM *dv, BIGNUM *rem, BIGNUM *m, BIGNUM *d, BN_CTX *ctx);
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int BN_mul(BIGNUM *r, BIGNUM *a, BIGNUM *b,BN_CTX *ctx);
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int BN_sqr(BIGNUM *r, BIGNUM *a,BN_CTX *ctx);
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BN_ULONG BN_mod_word(BIGNUM *a, BN_ULONG w);
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BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w);
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int BN_mul_word(BIGNUM *a, BN_ULONG w);
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int BN_add_word(BIGNUM *a, BN_ULONG w);
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int BN_sub_word(BIGNUM *a, BN_ULONG w);
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int BN_set_word(BIGNUM *a, BN_ULONG w);
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BN_ULONG BN_get_word(BIGNUM *a);
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int BN_cmp(BIGNUM *a, BIGNUM *b);
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void BN_free(BIGNUM *a);
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int BN_is_bit_set(BIGNUM *a, int n);
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int BN_lshift(BIGNUM *r, BIGNUM *a, int n);
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int BN_lshift1(BIGNUM *r, BIGNUM *a);
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int BN_exp(BIGNUM *r, BIGNUM *a, BIGNUM *p,BN_CTX *ctx);
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int BN_mod_exp(BIGNUM *r, BIGNUM *a, BIGNUM *p, BIGNUM *m,BN_CTX *ctx);
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int BN_mod_exp_mont(BIGNUM *r, BIGNUM *a, BIGNUM *p, BIGNUM *m,BN_CTX *ctx,
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BN_MONT_CTX *m_ctx);
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int BN_mod_exp2_mont(BIGNUM *r, BIGNUM *a1, BIGNUM *p1,BIGNUM *a2,
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BIGNUM *p2,BIGNUM *m,BN_CTX *ctx,BN_MONT_CTX *m_ctx);
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int BN_mod_exp_simple(BIGNUM *r, BIGNUM *a, BIGNUM *p,
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BIGNUM *m,BN_CTX *ctx);
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int BN_mask_bits(BIGNUM *a,int n);
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int BN_mod_mul(BIGNUM *ret, BIGNUM *a, BIGNUM *b, BIGNUM *m,
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BN_CTX *ctx);
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#ifndef WIN16
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int BN_print_fp(FILE *fp, BIGNUM *a);
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#endif
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#ifdef HEADER_BIO_H
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int BN_print(BIO *fp, BIGNUM *a);
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#else
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int BN_print(char *fp, BIGNUM *a);
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#endif
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int BN_reciprocal(BIGNUM *r, BIGNUM *m, int len, BN_CTX *ctx);
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int BN_rshift(BIGNUM *r, BIGNUM *a, int n);
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int BN_rshift1(BIGNUM *r, BIGNUM *a);
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void BN_clear(BIGNUM *a);
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BIGNUM *bn_expand2(BIGNUM *b, int bits);
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BIGNUM *BN_dup(BIGNUM *a);
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int BN_ucmp(BIGNUM *a, BIGNUM *b);
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int BN_set_bit(BIGNUM *a, int n);
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int BN_clear_bit(BIGNUM *a, int n);
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char * BN_bn2hex(BIGNUM *a);
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char * BN_bn2dec(BIGNUM *a);
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int BN_hex2bn(BIGNUM **a,char *str);
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int BN_dec2bn(BIGNUM **a,char *str);
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int BN_gcd(BIGNUM *r,BIGNUM *in_a,BIGNUM *in_b,BN_CTX *ctx);
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BIGNUM *BN_mod_inverse(BIGNUM *ret,BIGNUM *a, BIGNUM *n,BN_CTX *ctx);
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BIGNUM *BN_generate_prime(BIGNUM *ret,int bits,int strong,BIGNUM *add,
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BIGNUM *rem,void (*callback)(int,int,char *),char *cb_arg);
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int BN_is_prime(BIGNUM *p,int nchecks,void (*callback)(int,int,char *),
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BN_CTX *ctx,char *cb_arg);
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void ERR_load_BN_strings(void );
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BN_ULONG bn_mul_add_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w);
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BN_ULONG bn_mul_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w);
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void bn_sqr_words(BN_ULONG *rp, BN_ULONG *ap, int num);
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BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d);
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BN_ULONG bn_add_words(BN_ULONG *rp, BN_ULONG *ap, BN_ULONG *bp,int num);
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BN_ULONG bn_sub_words(BN_ULONG *rp, BN_ULONG *ap, BN_ULONG *bp,int num);
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BN_MONT_CTX *BN_MONT_CTX_new(void );
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void BN_MONT_CTX_init(BN_MONT_CTX *ctx);
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int BN_mod_mul_montgomery(BIGNUM *r,BIGNUM *a,BIGNUM *b,BN_MONT_CTX *mont,
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BN_CTX *ctx);
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int BN_from_montgomery(BIGNUM *r,BIGNUM *a,BN_MONT_CTX *mont,BN_CTX *ctx);
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void BN_MONT_CTX_free(BN_MONT_CTX *mont);
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int BN_MONT_CTX_set(BN_MONT_CTX *mont,BIGNUM *modulus,BN_CTX *ctx);
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BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to,BN_MONT_CTX *from);
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BN_BLINDING *BN_BLINDING_new(BIGNUM *A,BIGNUM *Ai,BIGNUM *mod);
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void BN_BLINDING_free(BN_BLINDING *b);
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int BN_BLINDING_update(BN_BLINDING *b,BN_CTX *ctx);
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int BN_BLINDING_convert(BIGNUM *n, BN_BLINDING *r, BN_CTX *ctx);
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int BN_BLINDING_invert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);
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void BN_set_params(int mul,int high,int low,int mont);
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int BN_get_params(int which); /* 0, mul, 1 high, 2 low, 3 mont */
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void bn_mul_normal(BN_ULONG *r,BN_ULONG *a,int na,BN_ULONG *b,int nb);
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void bn_mul_comba8(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b);
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void bn_mul_comba4(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b);
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void bn_sqr_normal(BN_ULONG *r, BN_ULONG *a, int n, BN_ULONG *tmp);
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void bn_sqr_comba8(BN_ULONG *r,BN_ULONG *a);
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void bn_sqr_comba4(BN_ULONG *r,BN_ULONG *a);
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int bn_cmp_words(BN_ULONG *a,BN_ULONG *b,int n);
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void bn_mul_recursive(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,int n2,BN_ULONG *t);
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void bn_mul_part_recursive(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,
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int tn, int n,BN_ULONG *t);
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void bn_sqr_recursive(BN_ULONG *r,BN_ULONG *a, int n2, BN_ULONG *t);
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void bn_mul_low_normal(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b, int n);
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void BN_RECP_CTX_init(BN_RECP_CTX *recp);
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BN_RECP_CTX *BN_RECP_CTX_new(void);
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void BN_RECP_CTX_free(BN_RECP_CTX *recp);
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int BN_RECP_CTX_set(BN_RECP_CTX *recp,BIGNUM *rdiv,BN_CTX *ctx);
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int BN_mod_mul_reciprocal(BIGNUM *r, BIGNUM *x, BIGNUM *y,
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BN_RECP_CTX *recp,BN_CTX *ctx);
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int BN_mod_exp_recp(BIGNUM *r, BIGNUM *a, BIGNUM *p, BIGNUM *m,BN_CTX *ctx);
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int BN_div_recp(BIGNUM *dv, BIGNUM *rem, BIGNUM *m,
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BN_RECP_CTX *recp, BN_CTX *ctx);
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/* BEGIN ERROR CODES */
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/* The following lines are auto generated by the script mkerr.pl. Any changes
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* made after this point may be overwritten when the script is next run.
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*/
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/* Error codes for the BN functions. */
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/* Function codes. */
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#define BN_F_BN_BLINDING_CONVERT 100
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#define BN_F_BN_BLINDING_INVERT 101
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#define BN_F_BN_BLINDING_NEW 102
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#define BN_F_BN_BLINDING_UPDATE 103
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#define BN_F_BN_BN2DEC 104
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#define BN_F_BN_BN2HEX 105
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#define BN_F_BN_CTX_NEW 106
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#define BN_F_BN_DIV 107
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#define BN_F_BN_EXPAND2 108
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#define BN_F_BN_MOD_EXP_MONT 109
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#define BN_F_BN_MOD_INVERSE 110
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#define BN_F_BN_MOD_MUL_RECIPROCAL 111
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#define BN_F_BN_MPI2BN 112
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#define BN_F_BN_NEW 113
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#define BN_F_BN_RAND 114
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#define BN_F_BN_USUB 115
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/* Reason codes. */
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#define BN_R_ARG2_LT_ARG3 100
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#define BN_R_BAD_RECIPROCAL 101
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#define BN_R_CALLED_WITH_EVEN_MODULUS 102
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#define BN_R_DIV_BY_ZERO 103
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#define BN_R_ENCODING_ERROR 104
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#define BN_R_EXPAND_ON_STATIC_BIGNUM_DATA 105
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#define BN_R_INVALID_LENGTH 106
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#define BN_R_NOT_INITIALIZED 107
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#define BN_R_NO_INVERSE 108
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#ifdef __cplusplus
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}
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#endif
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#endif
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