bn.org

openssl是ssl的开源项目

/* crypto/bn/bn.org */
/* Copyright (C) 1995-1997 Eric Young ([e-mail])
 * All rights reserved.
 *
 * This package is an SSL implementation written
 * by Eric Young ([e-mail]).
 * The implementation was written so as to conform with Netscapes SSL.
 * 
 * This library is free for commercial and non-commercial use as long as
 * the following conditions are aheared to.  The following conditions
 * apply to all code found in this distribution, be it the RC4, RSA,
 * lhash, DES, etc., code; not just the SSL code.  The SSL documentation
 * included with this distribution is covered by the same copyright terms
 * except that the holder is Tim Hudson ([e-mail]).
 * 
 * Copyright remains Eric Young's, and as such any Copyright notices in
 * the code are not to be removed.
 * If this package is used in a product, Eric Young should be given attribution
 * as the author of the parts of the library used.
 * This can be in the form of a textual message at program startup or
 * in documentation (online or textual) provided with the package.
 * 
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions
 * are met:
 * 1. Redistributions of source code must retain the copyright
 *    notice, this list of conditions and the following disclaimer.
 * 2. Redistributions in binary form must reproduce the above copyright
 *    notice, this list of conditions and the following disclaimer in the
 *    documentation and/or other materials provided with the distribution.
 * 3. All advertising materials mentioning features or use of this software
 *    must display the following acknowledgement:
 *    "This product includes cryptographic software written by
 *     Eric Young ([e-mail])"
 *    The word 'cryptographic' can be left out if the rouines from the library
 *    being used are not cryptographic related :-).
 * 4. If you include any Windows specific code (or a derivative thereof) from 
 *    the apps directory (application code) you must include an acknowledgement:
 *    "This product includes software written by Tim Hudson ([e-mail])"
 * 
 * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
 * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
 * SUCH DAMAGE.
 * 
 * The licence and distribution terms for any publically available version or
 * derivative of this code cannot be changed.  i.e. this code cannot simply be
 * copied and put under another distribution licence
 * [including the GNU Public Licence.]
 */

/* WARNING WARNING WARNING WARNING WARNING WARNING WARNING WARNING WARNING 
 *
 * Always modify bn.org since bn.h is automatically generated from
 * it during SSLeay configuration.
 *
 * WARNING WARNING WARNING WARNING WARNING WARNING WARNING WARNING WARNING
 */

#ifndef HEADER_BN_H
#define HEADER_BN_H

#ifdef  __cplusplus
extern "C" {
#endif

#undef BN_LLONG

#ifdef WIN32
#define BN_LLONG /* This comment stops Configure mutilating things */
#endif

#define BN_MUL_COMBA
#define BN_SQR_COMBA
#define BN_RECURSION
#define RECP_MUL_MOD
#define MONT_MUL_MOD

/* This next option uses the C libraries (2 word)/(1 word) function.
 * If it is not defined, I use my C version (which is slower).
 * The reason for this flag is that when the particular C compiler
 * library routine is used, and the library is linked with a different
 * compiler, the library is missing.  This mostly happens when the
 * library is built with gcc and then linked using nornal cc.  This would
 * be a common occurance because gcc normally produces code that is
 * 2 times faster than system compilers for the big number stuff.
 * For machines with only one compiler (or shared libraries), this should
 * be on.  Again this in only really a problem on machines
 * using "long long's", are 32bit, and are not using my assember code. */
#if defined(MSDOS) || defined(WINDOWS) || defined(linux)
#define BN_DIV2W
#endif

/* Only one for the following should be defined */
/* The prime number generation stuff may not work when
 * EIGHT_BIT but I don't care since I've only used this mode
 * for debuging the bignum libraries */
#undef SIXTY_FOUR_BIT_LONG
#undef SIXTY_FOUR_BIT
#define THIRTY_TWO_BIT
#undef SIXTEEN_BIT
#undef EIGHT_BIT


/* assuming long is 64bit - this is the DEC Alpha
 * unsigned long long is only 64 bits :-(, don't define
 * BN_LLONG for the DEC Alpha */
#ifdef SIXTY_FOUR_BIT_LONG
#define BN_ULLONG	unsigned long long
#define BN_ULONG	unsigned long
#define BN_LONG		long
#define BN_BITS		128
#define BN_BYTES	8
#define BN_BITS2	64
#define BN_BITS4	32
#define BN_MASK		(0xffffffffffffffffffffffffffffffffLL)
#define BN_MASK2	(0xffffffffffffffffL)
#define BN_MASK2l	(0xffffffffL)
#define BN_MASK2h	(0xffffffff00000000L)
#define BN_MASK2h1	(0xffffffff80000000L)
#define BN_TBIT		(0x8000000000000000L)
#define BN_DEC_CONV	(10000000000000000000UL)
#define BN_DEC_FMT1	"%lu"
#define BN_DEC_FMT2	"%019lu"
#define BN_DEC_NUM	19
#endif

/* This is where the long long data type is 64 bits, but long is 32.
 * For machines where there are 64bit registers, this is the mode to use.
 * IRIX, on R4000 and above should use this mode, along with the relevent
 * assember code :-).  Do NOT define BN_ULLONG.
 */
#ifdef SIXTY_FOUR_BIT
#undef BN_LLONG
/* #define BN_ULLONG	unsigned long long */
#define BN_ULONG	unsigned long long
#define BN_LONG		long long
#define BN_BITS		128
#define BN_BYTES	8
#define BN_BITS2	64
#define BN_BITS4	32
#define BN_MASK2	(0xffffffffffffffffLL)
#define BN_MASK2l	(0xffffffffL)
#define BN_MASK2h	(0xffffffff00000000LL)
#define BN_MASK2h1	(0xffffffff80000000LL)
#define BN_TBIT		(0x8000000000000000LL)
#define BN_DEC_CONV	(10000000000000000000LL)
#define BN_DEC_FMT1	"%llu"
#define BN_DEC_FMT2	"%019llu"
#define BN_DEC_NUM	19
#endif

#ifdef THIRTY_TWO_BIT
#ifdef WIN32
#define BN_ULLONG	unsigned _int64
#else
#define BN_ULLONG	unsigned long long
#endif
#define BN_ULONG	unsigned long
#define BN_LONG		long
#define BN_BITS		64
#define BN_BYTES	4
#define BN_BITS2	32
#define BN_BITS4	16
#define BN_MASK		(0xffffffffffffffffLL)
#define BN_MASK2	(0xffffffffL)
#define BN_MASK2l	(0xffff)
#define BN_MASK2h1	(0xffff8000L)
#define BN_MASK2h	(0xffff0000L)
#define BN_TBIT		(0x80000000L)
#define BN_DEC_CONV	(1000000000L)
#define BN_DEC_FMT1	"%lu"
#define BN_DEC_FMT2	"%09lu"
#define BN_DEC_NUM	9
#endif

#ifdef SIXTEEN_BIT
#ifndef BN_DIV2W
#define BN_DIV2W
#endif
#define BN_ULLONG	unsigned long
#define BN_ULONG	unsigned short
#define BN_LONG		short
#define BN_BITS		32
#define BN_BYTES	2
#define BN_BITS2	16
#define BN_BITS4	8
#define BN_MASK		(0xffffffff)
#define BN_MASK2	(0xffff)
#define BN_MASK2l	(0xff)
#define BN_MASK2h1	(0xff80)
#define BN_MASK2h	(0xff00)
#define BN_TBIT		(0x8000)
#define BN_DEC_CONV	(100000)
#define BN_DEC_FMT1	"%u"
#define BN_DEC_FMT2	"%05u"
#define BN_DEC_NUM	5
#endif

#ifdef EIGHT_BIT
#ifndef BN_DIV2W
#define BN_DIV2W
#endif
#define BN_ULLONG	unsigned short
#define BN_ULONG	unsigned char
#define BN_LONG		char
#define BN_BITS		16
#define BN_BYTES	1
#define BN_BITS2	8
#define BN_BITS4	4
#define BN_MASK		(0xffff)
#define BN_MASK2	(0xff)
#define BN_MASK2l	(0xf)
#define BN_MASK2h1	(0xf8)
#define BN_MASK2h	(0xf0)
#define BN_TBIT		(0x80)
#define BN_DEC_CONV	(100)
#define BN_DEC_FMT1	"%u"
#define BN_DEC_FMT2	"%02u"
#define BN_DEC_NUM	2
#endif

#define BN_DEFAULT_BITS	1280

#ifdef BIGNUM
#undef BIGNUM
#endif

#define BN_FLG_MALLOCED		0x01
#define BN_FLG_STATIC_DATA	0x02
#define BN_FLG_FREE		0x8000	/* used for debuging */
#define BN_set_flags(b,n)	((b)->flags|=(n))
#define BN_get_flags(b,n)	((b)->flags&(n))

typedef struct bignum_st
	{
	BN_ULONG *d;	/* Pointer to an array of 'BN_BITS2' bit chunks. */
	int top;	/* Index of last used d +1. */
	/* The next are internal book keeping for bn_expand. */
	int max;	/* Size of the d array. */
	int neg;	/* one if the number is negative */
	int flags;
	} BIGNUM;

/* Used for temp variables */
#define BN_CTX_NUM	12
typedef struct bignum_ctx
	{
	int tos;
	BIGNUM bn[BN_CTX_NUM+1];
	int flags;
	} BN_CTX;

typedef struct bn_blinding_st
	{
	int init;
	BIGNUM *A;
	BIGNUM *Ai;
	BIGNUM *mod; /* just a reference */
	} BN_BLINDING;

/* Used for montgomery multiplication */
typedef struct bn_mont_ctx_st
        {
	int use_word;	/* 0 for word form, 1 for long form */
        int ri;         /* number of bits in R */
        BIGNUM RR;     /* used to convert to montgomery form */
        BIGNUM N;      /* The modulus */
        BIGNUM Ni;     /* The inverse of N */
	BN_ULONG n0;	/* word form of inverse, normally only one of
			 * Ni or n0 is defined */
	int flags;
        } BN_MONT_CTX;

/* Used for reciprocal division/mod functions
 * It cannot be shared between threads
 */
typedef struct bn_recp_ctx_st
	{
	BIGNUM N;	/* the divisor */
	BIGNUM Nr;	/* the reciprocal */
	int num_bits;
	int shift;
	int flags;
	} BN_RECP_CTX;

#define BN_to_montgomery(r,a,mont,ctx)	BN_mod_mul_montgomery(\
	r,a,&((mont)->RR),(mont),ctx)

#define BN_prime_checks		(5)

#define BN_num_bytes(a)	((BN_num_bits(a)+7)/8)
#define BN_is_word(a,w)	(((a)->top == 1) && ((a)->d[0] == (BN_ULONG)(w)))