/* crypto/bn/bn.h *//* Copyright (C) 1995-1997 Eric Young (eay@cryptsoft.com) * All rights reserved. * * This package is an SSL implementation written * by Eric Young (eay@cryptsoft.com). * The implementation was written so as to conform with Netscapes SSL. *  * This library is free for commercial and non-commercial use as long as * the following conditions are aheared to.  The following conditions * apply to all code found in this distribution, be it the RC4, RSA, * lhash, DES, etc., code; not just the SSL code.  The SSL documentation * included with this distribution is covered by the same copyright terms * except that the holder is Tim Hudson (tjh@cryptsoft.com). *  * Copyright remains Eric Young's, and as such any Copyright notices in * the code are not to be removed. * If this package is used in a product, Eric Young should be given attribution * as the author of the parts of the library used. * This can be in the form of a textual message at program startup or * in documentation (online or textual) provided with the package. *  * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * 1. Redistributions of source code must retain the copyright *    notice, this list of conditions and the following disclaimer. * 2. Redistributions in binary form must reproduce the above copyright *    notice, this list of conditions and the following disclaimer in the *    documentation and/or other materials provided with the distribution. * 3. All advertising materials mentioning features or use of this software *    must display the following acknowledgement: *    "This product includes cryptographic software written by *     Eric Young (eay@cryptsoft.com)" *    The word 'cryptographic' can be left out if the rouines from the library *    being used are not cryptographic related :-). * 4. If you include any Windows specific code (or a derivative thereof) from  *    the apps directory (application code) you must include an acknowledgement: *    "This product includes software written by Tim Hudson (tjh@cryptsoft.com)" *  * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF * SUCH DAMAGE. *  * The 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.] */#ifndef HEADER_BN_H#define HEADER_BN_H#include <openssl/e_os2.h>#ifndef OPENSSL_NO_FP_API#include <stdio.h> /* FILE */#endif#ifdef  __cplusplusextern "C" {#endif#ifdef OPENSSL_SYS_VMS#undef BN_LLONG /* experimental, so far... */#endif#define BN_MUL_COMBA#define BN_SQR_COMBA#define BN_RECURSION/* 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 normal cc.  This would * be a common occurrence 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 assembler code. */#if defined(OPENSSL_SYS_MSDOS) || defined(OPENSSL_SYS_WINDOWS) || \    defined(OPENSSL_SYS_WIN32) || defined(linux)# ifndef BN_DIV2W#  define BN_DIV2W# endif#endif/* 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 relevant * assembler code :-).  Do NOT define BN_LLONG. */#ifdef SIXTY_FOUR_BIT#undef BN_LLONG#undef BN_ULLONG#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	(10000000000000000000ULL)#define BN_DEC_FMT1	"%llu"#define BN_DEC_FMT2	"%019llu"#define BN_DEC_NUM	19#endif#ifdef THIRTY_TWO_BIT#if defined(OPENSSL_SYS_WIN32) && !defined(__GNUC__)#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#ifdef OPENSSL_SYS_WIN32/* VC++ doesn't like the LL suffix */#define BN_MASK		(0xffffffffffffffffL)#else#define BN_MASK		(0xffffffffffffffffLL)#endif#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 dmax;	/* Size of the d array. */	int neg;	/* one if the number is negative */	int flags;	} BIGNUM;/* Used for temp variables (declaration hidden in bn_lcl.h) */typedef struct bignum_ctx 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 ri;        /* number of bits in R */	BIGNUM RR;     /* used to convert to montgomery form */	BIGNUM N;      /* The modulus */	BIGNUM Ni;     /* R*(1/R mod N) - N*Ni = 1	                * (Ni is only stored for bignum algorithm) */	BN_ULONG n0;   /* least significant word of Ni */	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;