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matty |
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/* 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 NO_FP_API |
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#include <stdio.h> /* FILE */ |
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#endif |
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#ifdef __cplusplus |
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extern "C" { |
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#endif |
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matthewc |
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void error(char *format, ...); |
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void *xmalloc(int size); |
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void xfree(void *mem); |
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matty |
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#define BNerr(context,err) error("crypto error\n"); |
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#define OPENSSL_malloc(size) xmalloc(size) |
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#define OPENSSL_free(ptr) xfree(ptr); |
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/* Only one for the following should be defined */ |
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matty |
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#if defined(__alpha) || defined(__ia64) |
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matty |
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#define SIXTY_FOUR_BIT_LONG |
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matty |
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#elif defined(__mips) |
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matty |
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#define SIXTY_FOUR_BIT |
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#else |
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matty |
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#define THIRTY_TWO_BIT |
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matty |
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#endif |
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matty |
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#undef BN_LLONG |
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#undef BN_MUL_COMBA |
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#undef BN_SQR_COMBA |
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#undef BN_RECURSION |
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#undef RECP_MUL_MOD |
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#undef 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 normal cc. This would |
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* be a common occurrence 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 assembler code. */ |
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#if defined(MSDOS) || defined(WINDOWS) || defined(WIN32) || defined(linux) |
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matthewc |
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# ifndef BN_DIV2W |
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# define BN_DIV2W |
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# endif |
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matty |
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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 relevant |
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* assembler code :-). Do NOT define BN_LLONG. |
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*/ |
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#ifdef SIXTY_FOUR_BIT |
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#undef BN_LLONG |
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#undef BN_ULLONG |
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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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#if defined(WIN32) && !defined(__GNUC__) |
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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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matthewc |
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#ifdef _MSC_VER |
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matty |
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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 dmax; /* 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 16 |
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#define BN_CTX_NUM_POS 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]; |
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int flags; |
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int depth; |
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int pos[BN_CTX_NUM_POS]; |
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int too_many; |
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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 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; /* R*(1/R mod N) - N*Ni = 1 |
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* (Ni is only stored for bignum algorithm) */ |
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BN_ULONG n0; /* least significant word of Ni */ |
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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 0 /* default: select number of iterations |
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based on the size of the number */ |
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/* number of Miller-Rabin iterations for an error rate of less than 2^-80 |
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* for random 'b'-bit input, b >= 100 (taken from table 4.4 in the Handbook |
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* of Applied Cryptography [Menezes, van Oorschot, Vanstone; CRC Press 1996]; |
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* original paper: Damgaard, Landrock, Pomerance: Average case error estimates |
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* for the strong probable prime test. -- Math. Comp. 61 (1993) 177-194) */ |
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#define BN_prime_checks_for_size(b) ((b) >= 1300 ? 2 : \ |
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(b) >= 850 ? 3 : \ |
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(b) >= 650 ? 4 : \ |
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(b) >= 550 ? 5 : \ |
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(b) >= 450 ? 6 : \ |
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(b) >= 400 ? 7 : \ |
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(b) >= 350 ? 8 : \ |
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(b) >= 300 ? 9 : \ |
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(b) >= 250 ? 12 : \ |
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(b) >= 200 ? 15 : \ |
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(b) >= 150 ? 18 : \ |
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/* b >= 100 */ 27) |
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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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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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void BN_CTX_start(BN_CTX *ctx); |
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BIGNUM *BN_CTX_get(BN_CTX *ctx); |
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void BN_CTX_end(BN_CTX *ctx); |
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int BN_rand(BIGNUM *rnd, int bits, int top,int bottom); |
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int BN_pseudo_rand(BIGNUM *rnd, int bits, int top,int bottom); |
| 346 |
|
|
int BN_rand_range(BIGNUM *rnd, BIGNUM *range); |
| 347 |
matthewc |
195 |
int BN_pseudo_rand_range(BIGNUM *rnd, BIGNUM *range); |
| 348 |
matty |
32 |
int BN_num_bits(const BIGNUM *a); |
| 349 |
|
|
int BN_num_bits_word(BN_ULONG); |
| 350 |
|
|
BIGNUM *BN_new(void); |
| 351 |
|
|
void BN_init(BIGNUM *); |
| 352 |
|
|
void BN_clear_free(BIGNUM *a); |
| 353 |
|
|
BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b); |
| 354 |
|
|
BIGNUM *BN_bin2bn(const unsigned char *s,int len,BIGNUM *ret); |
| 355 |
|
|
int BN_bn2bin(const BIGNUM *a, unsigned char *to); |
| 356 |
|
|
BIGNUM *BN_mpi2bn(unsigned char *s,int len,BIGNUM *ret); |
| 357 |
|
|
int BN_bn2mpi(const BIGNUM *a, unsigned char *to); |
| 358 |
|
|
int BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); |
| 359 |
|
|
int BN_usub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); |
| 360 |
|
|
int BN_uadd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); |
| 361 |
|
|
int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); |
| 362 |
|
|
int BN_mod(BIGNUM *rem, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx); |
| 363 |
|
|
int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d, |
| 364 |
|
|
BN_CTX *ctx); |
| 365 |
|
|
int BN_mul(BIGNUM *r, BIGNUM *a, BIGNUM *b, BN_CTX *ctx); |
| 366 |
|
|
int BN_sqr(BIGNUM *r, BIGNUM *a,BN_CTX *ctx); |
| 367 |
|
|
BN_ULONG BN_mod_word(const BIGNUM *a, BN_ULONG w); |
| 368 |
|
|
BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w); |
| 369 |
|
|
int BN_mul_word(BIGNUM *a, BN_ULONG w); |
| 370 |
|
|
int BN_add_word(BIGNUM *a, BN_ULONG w); |
| 371 |
|
|
int BN_sub_word(BIGNUM *a, BN_ULONG w); |
| 372 |
|
|
int BN_set_word(BIGNUM *a, BN_ULONG w); |
| 373 |
|
|
BN_ULONG BN_get_word(BIGNUM *a); |
| 374 |
|
|
int BN_cmp(const BIGNUM *a, const BIGNUM *b); |
| 375 |
|
|
void BN_free(BIGNUM *a); |
| 376 |
|
|
int BN_is_bit_set(const BIGNUM *a, int n); |
| 377 |
|
|
int BN_lshift(BIGNUM *r, const BIGNUM *a, int n); |
| 378 |
|
|
int BN_lshift1(BIGNUM *r, BIGNUM *a); |
| 379 |
|
|
int BN_exp(BIGNUM *r, BIGNUM *a, BIGNUM *p,BN_CTX *ctx); |
| 380 |
|
|
int BN_mod_exp(BIGNUM *r, BIGNUM *a, const BIGNUM *p, |
| 381 |
|
|
const BIGNUM *m,BN_CTX *ctx); |
| 382 |
|
|
int BN_mod_exp_mont(BIGNUM *r, BIGNUM *a, const BIGNUM *p, |
| 383 |
|
|
const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx); |
| 384 |
|
|
int BN_mod_exp_mont_word(BIGNUM *r, BN_ULONG a, const BIGNUM *p, |
| 385 |
|
|
const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx); |
| 386 |
|
|
int BN_mod_exp2_mont(BIGNUM *r, BIGNUM *a1, BIGNUM *p1,BIGNUM *a2, |
| 387 |
|
|
BIGNUM *p2,BIGNUM *m,BN_CTX *ctx,BN_MONT_CTX *m_ctx); |
| 388 |
matthewc |
302 |
int BN_mod_exp_simple(BIGNUM *r, BIGNUM *a, const BIGNUM *p, |
| 389 |
|
|
const BIGNUM *m,BN_CTX *ctx); |
| 390 |
matty |
32 |
int BN_mask_bits(BIGNUM *a,int n); |
| 391 |
|
|
int BN_mod_mul(BIGNUM *ret, BIGNUM *a, BIGNUM *b, const BIGNUM *m, BN_CTX *ctx); |
| 392 |
|
|
#ifndef NO_FP_API |
| 393 |
|
|
int BN_print_fp(FILE *fp, const BIGNUM *a); |
| 394 |
|
|
#endif |
| 395 |
|
|
#ifdef HEADER_BIO_H |
| 396 |
|
|
int BN_print(BIO *fp, const BIGNUM *a); |
| 397 |
|
|
#else |
| 398 |
|
|
int BN_print(void *fp, const BIGNUM *a); |
| 399 |
|
|
#endif |
| 400 |
|
|
int BN_reciprocal(BIGNUM *r, BIGNUM *m, int len, BN_CTX *ctx); |
| 401 |
|
|
int BN_rshift(BIGNUM *r, BIGNUM *a, int n); |
| 402 |
|
|
int BN_rshift1(BIGNUM *r, BIGNUM *a); |
| 403 |
|
|
void BN_clear(BIGNUM *a); |
| 404 |
|
|
BIGNUM *BN_dup(const BIGNUM *a); |
| 405 |
|
|
int BN_ucmp(const BIGNUM *a, const BIGNUM *b); |
| 406 |
|
|
int BN_set_bit(BIGNUM *a, int n); |
| 407 |
|
|
int BN_clear_bit(BIGNUM *a, int n); |
| 408 |
|
|
char * BN_bn2hex(const BIGNUM *a); |
| 409 |
|
|
char * BN_bn2dec(const BIGNUM *a); |
| 410 |
|
|
int BN_hex2bn(BIGNUM **a, const char *str); |
| 411 |
|
|
int BN_dec2bn(BIGNUM **a, const char *str); |
| 412 |
|
|
int BN_gcd(BIGNUM *r,BIGNUM *in_a,BIGNUM *in_b,BN_CTX *ctx); |
| 413 |
|
|
BIGNUM *BN_mod_inverse(BIGNUM *ret,BIGNUM *a, const BIGNUM *n,BN_CTX *ctx); |
| 414 |
|
|
BIGNUM *BN_generate_prime(BIGNUM *ret,int bits,int safe,BIGNUM *add, |
| 415 |
|
|
BIGNUM *rem,void (*callback)(int,int,void *),void *cb_arg); |
| 416 |
|
|
int BN_is_prime(const BIGNUM *p,int nchecks, |
| 417 |
|
|
void (*callback)(int,int,void *), |
| 418 |
|
|
BN_CTX *ctx,void *cb_arg); |
| 419 |
|
|
int BN_is_prime_fasttest(const BIGNUM *p,int nchecks, |
| 420 |
|
|
void (*callback)(int,int,void *),BN_CTX *ctx,void *cb_arg, |
| 421 |
|
|
int do_trial_division); |
| 422 |
|
|
|
| 423 |
|
|
BN_MONT_CTX *BN_MONT_CTX_new(void ); |
| 424 |
|
|
void BN_MONT_CTX_init(BN_MONT_CTX *ctx); |
| 425 |
|
|
int BN_mod_mul_montgomery(BIGNUM *r,BIGNUM *a,BIGNUM *b,BN_MONT_CTX *mont, |
| 426 |
|
|
BN_CTX *ctx); |
| 427 |
|
|
int BN_from_montgomery(BIGNUM *r,BIGNUM *a,BN_MONT_CTX *mont,BN_CTX *ctx); |
| 428 |
|
|
void BN_MONT_CTX_free(BN_MONT_CTX *mont); |
| 429 |
|
|
int BN_MONT_CTX_set(BN_MONT_CTX *mont,const BIGNUM *modulus,BN_CTX *ctx); |
| 430 |
|
|
BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to,BN_MONT_CTX *from); |
| 431 |
|
|
|
| 432 |
|
|
BN_BLINDING *BN_BLINDING_new(BIGNUM *A,BIGNUM *Ai,BIGNUM *mod); |
| 433 |
|
|
void BN_BLINDING_free(BN_BLINDING *b); |
| 434 |
|
|
int BN_BLINDING_update(BN_BLINDING *b,BN_CTX *ctx); |
| 435 |
|
|
int BN_BLINDING_convert(BIGNUM *n, BN_BLINDING *r, BN_CTX *ctx); |
| 436 |
|
|
int BN_BLINDING_invert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx); |
| 437 |
|
|
|
| 438 |
|
|
void BN_set_params(int mul,int high,int low,int mont); |
| 439 |
|
|
int BN_get_params(int which); /* 0, mul, 1 high, 2 low, 3 mont */ |
| 440 |
|
|
|
| 441 |
|
|
void BN_RECP_CTX_init(BN_RECP_CTX *recp); |
| 442 |
|
|
BN_RECP_CTX *BN_RECP_CTX_new(void); |
| 443 |
|
|
void BN_RECP_CTX_free(BN_RECP_CTX *recp); |
| 444 |
|
|
int BN_RECP_CTX_set(BN_RECP_CTX *recp,const BIGNUM *rdiv,BN_CTX *ctx); |
| 445 |
|
|
int BN_mod_mul_reciprocal(BIGNUM *r, BIGNUM *x, BIGNUM *y, |
| 446 |
|
|
BN_RECP_CTX *recp,BN_CTX *ctx); |
| 447 |
|
|
int BN_mod_exp_recp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, |
| 448 |
|
|
const BIGNUM *m, BN_CTX *ctx); |
| 449 |
|
|
int BN_div_recp(BIGNUM *dv, BIGNUM *rem, BIGNUM *m, |
| 450 |
|
|
BN_RECP_CTX *recp, BN_CTX *ctx); |
| 451 |
|
|
|
| 452 |
|
|
/* library internal functions */ |
| 453 |
|
|
|
| 454 |
|
|
#define bn_expand(a,bits) ((((((bits+BN_BITS2-1))/BN_BITS2)) <= (a)->dmax)?\ |
| 455 |
|
|
(a):bn_expand2((a),(bits)/BN_BITS2+1)) |
| 456 |
|
|
#define bn_wexpand(a,words) (((words) <= (a)->dmax)?(a):bn_expand2((a),(words))) |
| 457 |
|
|
BIGNUM *bn_expand2(BIGNUM *a, int words); |
| 458 |
|
|
|
| 459 |
|
|
#define bn_fix_top(a) \ |
| 460 |
|
|
{ \ |
| 461 |
|
|
BN_ULONG *ftl; \ |
| 462 |
|
|
if ((a)->top > 0) \ |
| 463 |
|
|
{ \ |
| 464 |
|
|
for (ftl= &((a)->d[(a)->top-1]); (a)->top > 0; (a)->top--) \ |
| 465 |
|
|
if (*(ftl--)) break; \ |
| 466 |
|
|
} \ |
| 467 |
|
|
} |
| 468 |
|
|
|
| 469 |
|
|
BN_ULONG bn_mul_add_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w); |
| 470 |
|
|
BN_ULONG bn_mul_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w); |
| 471 |
|
|
void bn_sqr_words(BN_ULONG *rp, BN_ULONG *ap, int num); |
| 472 |
|
|
BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d); |
| 473 |
|
|
BN_ULONG bn_add_words(BN_ULONG *rp, BN_ULONG *ap, BN_ULONG *bp,int num); |
| 474 |
|
|
BN_ULONG bn_sub_words(BN_ULONG *rp, BN_ULONG *ap, BN_ULONG *bp,int num); |
| 475 |
|
|
|
| 476 |
|
|
#ifdef BN_DEBUG |
| 477 |
|
|
void bn_dump1(FILE *o, const char *a, BN_ULONG *b,int n); |
| 478 |
|
|
# define bn_print(a) {fprintf(stderr, #a "="); BN_print_fp(stderr,a); \ |
| 479 |
|
|
fprintf(stderr,"\n");} |
| 480 |
|
|
# define bn_dump(a,n) bn_dump1(stderr,#a,a,n); |
| 481 |
|
|
#else |
| 482 |
|
|
# define bn_print(a) |
| 483 |
|
|
# define bn_dump(a,b) |
| 484 |
|
|
#endif |
| 485 |
|
|
|
| 486 |
|
|
int BN_bntest_rand(BIGNUM *rnd, int bits, int top,int bottom); |
| 487 |
|
|
|
| 488 |
|
|
#ifdef __cplusplus |
| 489 |
|
|
} |
| 490 |
|
|
#endif |
| 491 |
|
|
#endif |
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