/* 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.]

  */

 /* ====================================================================

  * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.

  *

  * Portions of the attached software ("Contribution") are developed by 

  * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.

  *

  * The Contribution is licensed pursuant to the Eric Young open source

  * license provided above.

  *

  * The binary polynomial arithmetic software is originally written by 

  * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.

  *

  */

  /*

  © Portions copyright (c) 2006 Nokia Corporation.  All rights reserved.

  */

 #ifndef HEADER_BN_H

 #define HEADER_BN_H

 #if (defined(__SYMBIAN32__) && !defined(SYMBIAN))

 #define SYMBIAN

 #endif

 #ifdef SYMBIAN

 #include <e32def.h>

 #endif

 #include <openssl/e_os2.h>

 #ifndef OPENSSL_NO_FP_API

 #include <stdio.h> /* FILE */

 #endif

 #include <openssl/ossl_typ.h>

 #ifdef  __cplusplus

 extern "C" {

 #endif

 /* These preprocessor symbols control various aspects of the bignum headers and

  * library code. They're not defined by any "normal" configuration, as they are

  * intended for development and testing purposes. NB: defining all three can be

  * useful for debugging application code as well as openssl itself.

  *

  * BN_DEBUG - turn on various debugging alterations to the bignum code

  * BN_DEBUG_RAND - uses random poisoning of unused words to trip up

  * mismanagement of bignum internals. You must also define BN_DEBUG.

  */

 /* #define BN_DEBUG */

 /* #define BN_DEBUG_RAND */

 #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

 #ifdef BN_LLONG

 # if defined(OPENSSL_SYS_WIN32) && !defined(__GNUC__)

 #  define BN_ULLONG	unsigned __int64

 # else

 #  define BN_ULLONG	unsigned long long

 # endif

 #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

 #define BN_FLG_MALLOCED		0x01

 #define BN_FLG_STATIC_DATA	0x02

 #define BN_FLG_CONSTTIME	0x04 /* avoid leaking exponent information through timing,

                                       * BN_mod_exp_mont() will call BN_mod_exp_mont_consttime,

                                       * BN_div() will call BN_div_no_branch,

                                       * BN_mod_inverse() will call BN_mod_inverse_no_branch.

                                       */

 #ifndef OPENSSL_NO_DEPRECATED

 #define BN_FLG_EXP_CONSTTIME BN_FLG_CONSTTIME /* deprecated name for the flag */

                                       /* avoid leaking exponent information through timings

                                       * (BN_mod_exp_mont() will call BN_mod_exp_mont_consttime) */

 #endif

 #ifndef OPENSSL_NO_DEPRECATED

 #define BN_FLG_FREE		0x8000	/* used for debuging */

 #endif

 #define BN_set_flags(b,n)	((b)->flags|=(n))

 #define BN_get_flags(b,n)	((b)->flags&(n))

 /* get a clone of a BIGNUM with changed flags, for *temporary* use only

  * (the two BIGNUMs cannot not be used in parallel!) */

 #define BN_with_flags(dest,b,n)  ((dest)->d=(b)->d, \

                                   (dest)->top=(b)->top, \

                                   (dest)->dmax=(b)->dmax, \

                                   (dest)->neg=(b)->neg, \

                                   (dest)->flags=(((dest)->flags & BN_FLG_MALLOCED) \

                                                  |  ((b)->flags & ~BN_FLG_MALLOCED) \

                                                  |  BN_FLG_STATIC_DATA \

                                                  |  (n)))

 /* Already declared in ossl_typ.h */

 #if 0

 typedef struct bignum_st BIGNUM;

 /* Used for temp variables (declaration hidden in bn_lcl.h) */

 typedef struct bignum_ctx BN_CTX;

 typedef struct bn_blinding_st BN_BLINDING;

 typedef struct bn_mont_ctx_st BN_MONT_CTX;

 typedef struct bn_recp_ctx_st BN_RECP_CTX;

 typedef struct bn_gencb_st BN_GENCB;

 #endif

 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;

 	};

 /* Used for montgomery multiplication */

 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;

 	};

 /* Used for reciprocal division/mod functions

  * It cannot be shared between threads

  */

 struct bn_recp_ctx_st

 	{

 	BIGNUM N;	/* the divisor */

 	BIGNUM Nr;	/* the reciprocal */

 	int num_bits;

 	int shift;

 	int flags;

 	};

 /* Used for slow "generation" functions. */

 struct bn_gencb_st

 	{

 	unsigned int ver;	/* To handle binary (in)compatibility */

 	void *arg;		/* callback-specific data */

 	union

 		{

 		/* if(ver==1) - handles old style callbacks */

 		void (*cb_1)(int, int, void *);

 		/* if(ver==2) - new callback style */

 		int (*cb_2)(int, int, BN_GENCB *);

 		} cb;

 	};

 /* Wrapper function to make using BN_GENCB easier,  */

 IMPORT_C int BN_GENCB_call(BN_GENCB *cb, int a, int b);

 /* Macro to populate a BN_GENCB structure with an "old"-style callback */

 #define BN_GENCB_set_old(gencb, callback, cb_arg) { \

 		BN_GENCB *tmp_gencb = (gencb); \

 		tmp_gencb->ver = 1; \

 		tmp_gencb->arg = (cb_arg); \

 		tmp_gencb->cb.cb_1 = (callback); }

 /* Macro to populate a BN_GENCB structure with a "new"-style callback */

 #define BN_GENCB_set(gencb, callback, cb_arg) { \

 		BN_GENCB *tmp_gencb = (gencb); \

 		tmp_gencb->ver = 2; \

 		tmp_gencb->arg = (cb_arg); \

 		tmp_gencb->cb.cb_2 = (callback); }

 #define BN_prime_checks 0 /* default: select number of iterations

 			     based on the size of the number */

 /* number of Miller-Rabin iterations for an error rate  of less than 2^-80

  * for random 'b'-bit input, b >= 100 (taken from table 4.4 in the Handbook

  * of Applied Cryptography [Menezes, van Oorschot, Vanstone; CRC Press 1996];

  * original paper: Damgaard, Landrock, Pomerance: Average case error estimates

  * for the strong probable prime test. -- Math. Comp. 61 (1993) 177-194) */

 #define BN_prime_checks_for_size(b) ((b) >= 1300 ?  2 : \

                                 (b) >=  850 ?  3 : \

                                 (b) >=  650 ?  4 : \

                                 (b) >=  550 ?  5 : \

                                 (b) >=  450 ?  6 : \

                                 (b) >=  400 ?  7 : \

                                 (b) >=  350 ?  8 : \

                                 (b) >=  300 ?  9 : \

                                 (b) >=  250 ? 12 : \

                                 (b) >=  200 ? 15 : \

                                 (b) >=  150 ? 18 : \

                                 /* b >= 100 */ 27)

 #define BN_num_bytes(a)	((BN_num_bits(a)+7)/8)

 /* Note that BN_abs_is_word didn't work reliably for w == 0 until 0.9.8 */

 #define BN_abs_is_word(a,w) ((((a)->top == 1) && ((a)->d[0] == (BN_ULONG)(w))) || \

 				(((w) == 0) && ((a)->top == 0)))

 #define BN_is_zero(a)       ((a)->top == 0)

 #define BN_is_one(a)        (BN_abs_is_word((a),1) && !(a)->neg)

 #define BN_is_word(a,w)     (BN_abs_is_word((a),(w)) && (!(w) || !(a)->neg))

 #define BN_is_odd(a)	    (((a)->top > 0) && ((a)->d[0] & 1))

 #define BN_one(a)	(BN_set_word((a),1))

 #define BN_zero_ex(a) \

 	do { \

 		BIGNUM *_tmp_bn = (a); \

 		_tmp_bn->top = 0; \

 		_tmp_bn->neg = 0; \

 	} while(0)

 #ifdef OPENSSL_NO_DEPRECATED

 #define BN_zero(a)	BN_zero_ex(a)

 #else

 #define BN_zero(a)	(BN_set_word((a),0))

 #endif

 IMPORT_C const BIGNUM *BN_value_one(void);

 IMPORT_C char *	BN_options(void);

 IMPORT_C BN_CTX *BN_CTX_new(void);

 #ifndef OPENSSL_NO_DEPRECATED

 IMPORT_C void	BN_CTX_init(BN_CTX *c);

 #endif

 IMPORT_C void	BN_CTX_free(BN_CTX *c);

 IMPORT_C void	BN_CTX_start(BN_CTX *ctx);

 IMPORT_C BIGNUM *BN_CTX_get(BN_CTX *ctx);

 IMPORT_C void	BN_CTX_end(BN_CTX *ctx);

 IMPORT_C int     BN_rand(BIGNUM *rnd, int bits, int top,int bottom);

 IMPORT_C int     BN_pseudo_rand(BIGNUM *rnd, int bits, int top,int bottom);

 IMPORT_C int	BN_rand_range(BIGNUM *rnd, BIGNUM *range);

 IMPORT_C int	BN_pseudo_rand_range(BIGNUM *rnd, BIGNUM *range);

 IMPORT_C int	BN_num_bits(const BIGNUM *a);

 IMPORT_C int	BN_num_bits_word(BN_ULONG);

 IMPORT_C BIGNUM *BN_new(void);

 IMPORT_C void	BN_init(BIGNUM *);

 IMPORT_C void	BN_clear_free(BIGNUM *a);

 IMPORT_C BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b);

 IMPORT_C void	BN_swap(BIGNUM *a, BIGNUM *b);

 IMPORT_C BIGNUM *BN_bin2bn(const unsigned char *s,int len,BIGNUM *ret);

 IMPORT_C int	BN_bn2bin(const BIGNUM *a, unsigned char *to);

 IMPORT_C BIGNUM *BN_mpi2bn(const unsigned char *s,int len,BIGNUM *ret);

 IMPORT_C int	BN_bn2mpi(const BIGNUM *a, unsigned char *to);

 IMPORT_C int	BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);

 IMPORT_C int	BN_usub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);

 IMPORT_C int	BN_uadd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);

 IMPORT_C int	BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);

 IMPORT_C int	BN_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);

 IMPORT_C int	BN_sqr(BIGNUM *r, const BIGNUM *a,BN_CTX *ctx);

 /* BN_set_negative(): sets sign of a bignum */

 IMPORT_C void	BN_set_negative(BIGNUM *b, int n);

 /* BN_get_negative():  returns 1 if the bignum is < 0 and 0 otherwise */

 #define BN_is_negative(a) ((a)->neg != 0)

 IMPORT_C int	BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d,

 	BN_CTX *ctx);

 #define BN_mod(rem,m,d,ctx) BN_div(NULL,(rem),(m),(d),(ctx))

 IMPORT_C int	BN_nnmod(BIGNUM *r, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx);

 IMPORT_C int	BN_mod_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx);

 IMPORT_C int	BN_mod_add_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m);

 IMPORT_C int	BN_mod_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx);

 IMPORT_C int	BN_mod_sub_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m);

 IMPORT_C int	BN_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,

 	const BIGNUM *m, BN_CTX *ctx);

 IMPORT_C int	BN_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);

 IMPORT_C int	BN_mod_lshift1(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);

 IMPORT_C int	BN_mod_lshift1_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *m);

 IMPORT_C int	BN_mod_lshift(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m, BN_CTX *ctx);

 IMPORT_C int	BN_mod_lshift_quick(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m);

 IMPORT_C BN_ULONG BN_mod_word(const BIGNUM *a, BN_ULONG w);

 IMPORT_C BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w);

 IMPORT_C int	BN_mul_word(BIGNUM *a, BN_ULONG w);

 IMPORT_C int	BN_add_word(BIGNUM *a, BN_ULONG w);

 IMPORT_C int	BN_sub_word(BIGNUM *a, BN_ULONG w);

 IMPORT_C int	BN_set_word(BIGNUM *a, BN_ULONG w);

 IMPORT_C BN_ULONG BN_get_word(const BIGNUM *a);

 IMPORT_C int	BN_cmp(const BIGNUM *a, const BIGNUM *b);

 IMPORT_C void	BN_free(BIGNUM *a);

 IMPORT_C int	BN_is_bit_set(const BIGNUM *a, int n);

 IMPORT_C int	BN_lshift(BIGNUM *r, const BIGNUM *a, int n);

 IMPORT_C int	BN_lshift1(BIGNUM *r, const BIGNUM *a);

 IMPORT_C int	BN_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,BN_CTX *ctx);

 IMPORT_C int	BN_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,

 	const BIGNUM *m,BN_CTX *ctx);

 IMPORT_C int	BN_mod_exp_mont(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,

 	const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx);

 IMPORT_C int BN_mod_exp_mont_consttime(BIGNUM *rr, const BIGNUM *a, const BIGNUM *p,

 	const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *in_mont);

 IMPORT_C int	BN_mod_exp_mont_word(BIGNUM *r, BN_ULONG a, const BIGNUM *p,

 	const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx);

 IMPORT_C int	BN_mod_exp2_mont(BIGNUM *r, const BIGNUM *a1, const BIGNUM *p1,

 	const BIGNUM *a2, const BIGNUM *p2,const BIGNUM *m,

 	BN_CTX *ctx,BN_MONT_CTX *m_ctx);

 IMPORT_C int	BN_mod_exp_simple(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,

 	const BIGNUM *m,BN_CTX *ctx);

 IMPORT_C int	BN_mask_bits(BIGNUM *a,int n);

 #ifndef OPENSSL_NO_FP_API

 IMPORT_C int	BN_print_fp(FILE *fp, const BIGNUM *a);

 #endif

 #ifdef HEADER_BIO_H

 IMPORT_C int	BN_print(BIO *fp, const BIGNUM *a);

 #else

 IMPORT_C int	BN_print(void *fp, const BIGNUM *a);

 #endif

 IMPORT_C int	BN_reciprocal(BIGNUM *r, const BIGNUM *m, int len, BN_CTX *ctx);

 IMPORT_C int	BN_rshift(BIGNUM *r, const BIGNUM *a, int n);

 IMPORT_C int	BN_rshift1(BIGNUM *r, const BIGNUM *a);

 IMPORT_C void	BN_clear(BIGNUM *a);

 IMPORT_C BIGNUM *BN_dup(const BIGNUM *a);

 IMPORT_C int	BN_ucmp(const BIGNUM *a, const BIGNUM *b);

 IMPORT_C int	BN_set_bit(BIGNUM *a, int n);

 IMPORT_C int	BN_clear_bit(BIGNUM *a, int n);

 IMPORT_C char *	BN_bn2hex(const BIGNUM *a);

 IMPORT_C char *	BN_bn2dec(const BIGNUM *a);

 IMPORT_C int 	BN_hex2bn(BIGNUM **a, const char *str);

 IMPORT_C int 	BN_dec2bn(BIGNUM **a, const char *str);

 IMPORT_C int	BN_gcd(BIGNUM *r,const BIGNUM *a,const BIGNUM *b,BN_CTX *ctx);

 IMPORT_C int	BN_kronecker(const BIGNUM *a,const BIGNUM *b,BN_CTX *ctx); /* returns -2 for error */

 IMPORT_C BIGNUM *BN_mod_inverse(BIGNUM *ret,

 	const BIGNUM *a, const BIGNUM *n,BN_CTX *ctx);

 IMPORT_C BIGNUM *BN_mod_sqrt(BIGNUM *ret,

 	const BIGNUM *a, const BIGNUM *n,BN_CTX *ctx);

 /* Deprecated versions */

 #ifndef OPENSSL_NO_DEPRECATED

 IMPORT_C BIGNUM *BN_generate_prime(BIGNUM *ret,int bits,int safe,

 	const BIGNUM *add, const BIGNUM *rem,

 	void (*callback)(int,int,void *),void *cb_arg);

 IMPORT_C int	BN_is_prime(const BIGNUM *p,int nchecks,

 	void (*callback)(int,int,void *),

 	BN_CTX *ctx,void *cb_arg);

 IMPORT_C int	BN_is_prime_fasttest(const BIGNUM *p,int nchecks,

 	void (*callback)(int,int,void *),BN_CTX *ctx,void *cb_arg,

 	int do_trial_division);

 #endif /* !defined(OPENSSL_NO_DEPRECATED) */

 /* Newer versions */

 IMPORT_C int	BN_generate_prime_ex(BIGNUM *ret,int bits,int safe, const BIGNUM *add,

 		const BIGNUM *rem, BN_GENCB *cb);

 IMPORT_C int	BN_is_prime_ex(const BIGNUM *p,int nchecks, BN_CTX *ctx, BN_GENCB *cb);

 IMPORT_C int	BN_is_prime_fasttest_ex(const BIGNUM *p,int nchecks, BN_CTX *ctx,

 		int do_trial_division, BN_GENCB *cb);

 IMPORT_C BN_MONT_CTX *BN_MONT_CTX_new(void );

 IMPORT_C void BN_MONT_CTX_init(BN_MONT_CTX *ctx);

 IMPORT_C int BN_mod_mul_montgomery(BIGNUM *r,const BIGNUM *a,const BIGNUM *b,

 	BN_MONT_CTX *mont, BN_CTX *ctx);

 #define BN_to_montgomery(r,a,mont,ctx)	BN_mod_mul_montgomery(\

 	(r),(a),&((mont)->RR),(mont),(ctx))

 IMPORT_C int BN_from_montgomery(BIGNUM *r,const BIGNUM *a,

 	BN_MONT_CTX *mont, BN_CTX *ctx);

 IMPORT_C void BN_MONT_CTX_free(BN_MONT_CTX *mont);

 IMPORT_C int BN_MONT_CTX_set(BN_MONT_CTX *mont,const BIGNUM *mod,BN_CTX *ctx);

 IMPORT_C BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to,BN_MONT_CTX *from);

 IMPORT_C BN_MONT_CTX *BN_MONT_CTX_set_locked(BN_MONT_CTX **pmont, int lock,

 					const BIGNUM *mod, BN_CTX *ctx);

 /* BN_BLINDING flags */

 #define	BN_BLINDING_NO_UPDATE	0x00000001

 #define	BN_BLINDING_NO_RECREATE	0x00000002

 IMPORT_C BN_BLINDING *BN_BLINDING_new(const BIGNUM *A, const BIGNUM *Ai, BIGNUM *mod);

 IMPORT_C void BN_BLINDING_free(BN_BLINDING *b);

 IMPORT_C int BN_BLINDING_update(BN_BLINDING *b,BN_CTX *ctx);

 IMPORT_C int BN_BLINDING_convert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);

 IMPORT_C int BN_BLINDING_invert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);

 IMPORT_C int BN_BLINDING_convert_ex(BIGNUM *n, BIGNUM *r, BN_BLINDING *b, BN_CTX *);

 IMPORT_C int BN_BLINDING_invert_ex(BIGNUM *n, const BIGNUM *r, BN_BLINDING *b, BN_CTX *);

 IMPORT_C unsigned long BN_BLINDING_get_thread_id(const BN_BLINDING *);

 IMPORT_C void BN_BLINDING_set_thread_id(BN_BLINDING *, unsigned long);

 IMPORT_C unsigned long BN_BLINDING_get_flags(const BN_BLINDING *);

 IMPORT_C void BN_BLINDING_set_flags(BN_BLINDING *, unsigned long);

 IMPORT_C BN_BLINDING *BN_BLINDING_create_param(BN_BLINDING *b,

 	const BIGNUM *e, BIGNUM *m, BN_CTX *ctx,

 	int (*bn_mod_exp)(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,

 			  const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx),

 	BN_MONT_CTX *m_ctx);

 #ifndef OPENSSL_NO_DEPRECATED

 IMPORT_C void BN_set_params(int mul,int high,int low,int mont);

 IMPORT_C int BN_get_params(int which); /* 0, mul, 1 high, 2 low, 3 mont */

 #endif

 IMPORT_C void	BN_RECP_CTX_init(BN_RECP_CTX *recp);

 IMPORT_C BN_RECP_CTX *BN_RECP_CTX_new(void);

 IMPORT_C void	BN_RECP_CTX_free(BN_RECP_CTX *recp);

 IMPORT_C int	BN_RECP_CTX_set(BN_RECP_CTX *recp,const BIGNUM *rdiv,BN_CTX *ctx);

 IMPORT_C int	BN_mod_mul_reciprocal(BIGNUM *r, const BIGNUM *x, const BIGNUM *y,

 	BN_RECP_CTX *recp,BN_CTX *ctx);

 IMPORT_C int	BN_mod_exp_recp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,

 	const BIGNUM *m, BN_CTX *ctx);

 IMPORT_C int	BN_div_recp(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m,

 	BN_RECP_CTX *recp, BN_CTX *ctx);

 /* Functions for arithmetic over binary polynomials represented by BIGNUMs. 

  *

  * The BIGNUM::neg property of BIGNUMs representing binary polynomials is

  * ignored.

  *

  * Note that input arguments are not const so that their bit arrays can

  * be expanded to the appropriate size if needed.

  */

 IMPORT_C int	BN_GF2m_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); /*r = a + b*/

 #define BN_GF2m_sub(r, a, b) BN_GF2m_add(r, a, b)

 IMPORT_C int	BN_GF2m_mod(BIGNUM *r, const BIGNUM *a, const BIGNUM *p); /*r=a mod p*/

 IMPORT_C int	BN_GF2m_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,

 	const BIGNUM *p, BN_CTX *ctx); /* r = (a * b) mod p */

 IMPORT_C int	BN_GF2m_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,

 	BN_CTX *ctx); /* r = (a * a) mod p */

 IMPORT_C int	BN_GF2m_mod_inv(BIGNUM *r, const BIGNUM *b, const BIGNUM *p,

 	BN_CTX *ctx); /* r = (1 / b) mod p */

 IMPORT_C int	BN_GF2m_mod_div(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,

 	const BIGNUM *p, BN_CTX *ctx); /* r = (a / b) mod p */

 IMPORT_C int	BN_GF2m_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,

 	const BIGNUM *p, BN_CTX *ctx); /* r = (a ^ b) mod p */

 IMPORT_C int	BN_GF2m_mod_sqrt(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,

 	BN_CTX *ctx); /* r = sqrt(a) mod p */

 IMPORT_C int	BN_GF2m_mod_solve_quad(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,

 	BN_CTX *ctx); /* r^2 + r = a mod p */

 #define BN_GF2m_cmp(a, b) BN_ucmp((a), (b))

 /* Some functions allow for representation of the irreducible polynomials

  * as an unsigned int[], say p.  The irreducible f(t) is then of the form:

  *     t^p[0] + t^p[1] + ... + t^p[k]

  * where m = p[0] > p[1] > ... > p[k] = 0.

  */

 IMPORT_C int	BN_GF2m_mod_arr(BIGNUM *r, const BIGNUM *a, const unsigned int p[]);

 	/* r = a mod p */

 IMPORT_C int	BN_GF2m_mod_mul_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,

 	const unsigned int p[], BN_CTX *ctx); /* r = (a * b) mod p */

 IMPORT_C int	BN_GF2m_mod_sqr_arr(BIGNUM *r, const BIGNUM *a, const unsigned int p[],

 	BN_CTX *ctx); /* r = (a * a) mod p */

 IMPORT_C int	BN_GF2m_mod_inv_arr(BIGNUM *r, const BIGNUM *b, const unsigned int p[],

 	BN_CTX *ctx); /* r = (1 / b) mod p */

 IMPORT_C int	BN_GF2m_mod_div_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,

 	const unsigned int p[], BN_CTX *ctx); /* r = (a / b) mod p */

 IMPORT_C int	BN_GF2m_mod_exp_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,

 	const unsigned int p[], BN_CTX *ctx); /* r = (a ^ b) mod p */

 IMPORT_C int	BN_GF2m_mod_sqrt_arr(BIGNUM *r, const BIGNUM *a,

 	const unsigned int p[], BN_CTX *ctx); /* r = sqrt(a) mod p */

 IMPORT_C int	BN_GF2m_mod_solve_quad_arr(BIGNUM *r, const BIGNUM *a,

 	const unsigned int p[], BN_CTX *ctx); /* r^2 + r = a mod p */

 IMPORT_C int	BN_GF2m_poly2arr(const BIGNUM *a, unsigned int p[], int max);

 IMPORT_C int	BN_GF2m_arr2poly(const unsigned int p[], BIGNUM *a);

 /* faster mod functions for the 'NIST primes' 

  * 0 <= a < p^2 */

 IMPORT_C int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);

 IMPORT_C int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);

 IMPORT_C int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);

 IMPORT_C int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);

 IMPORT_C int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);

 IMPORT_C const BIGNUM *BN_get0_nist_prime_192(void);

 IMPORT_C const BIGNUM *BN_get0_nist_prime_224(void);

 IMPORT_C const BIGNUM *BN_get0_nist_prime_256(void);

 IMPORT_C const BIGNUM *BN_get0_nist_prime_384(void);

 IMPORT_C const BIGNUM *BN_get0_nist_prime_521(void);

 /* library internal functions */

 #define bn_expand(a,bits) ((((((bits+BN_BITS2-1))/BN_BITS2)) <= (a)->dmax)?\

 	(a):bn_expand2((a),(bits+BN_BITS2-1)/BN_BITS2))

 #define bn_wexpand(a,words) (((words) <= (a)->dmax)?(a):bn_expand2((a),(words)))

 IMPORT_C BIGNUM *bn_expand2(BIGNUM *a, int words);

 #ifndef OPENSSL_NO_DEPRECATED

 BIGNUM *bn_dup_expand(const BIGNUM *a, int words); /* unused */

 #endif

 /* Bignum consistency macros

  * There is one "API" macro, bn_fix_top(), for stripping leading zeroes from

  * bignum data after direct manipulations on the data. There is also an

  * "internal" macro, bn_check_top(), for verifying that there are no leading

  * zeroes. Unfortunately, some auditing is required due to the fact that

  * bn_fix_top() has become an overabused duct-tape because bignum data is

  * occasionally passed around in an inconsistent state. So the following

  * changes have been made to sort this out;

  * - bn_fix_top()s implementation has been moved to bn_correct_top()

  * - if BN_DEBUG isn't defined, bn_fix_top() maps to bn_correct_top(), and

  *   bn_check_top() is as before.

  * - if BN_DEBUG *is* defined;

  *   - bn_check_top() tries to pollute unused words even if the bignum 'top' is

  *     consistent. (ed: only if BN_DEBUG_RAND is defined)

  *   - bn_fix_top() maps to bn_check_top() rather than "fixing" anything.

  * The idea is to have debug builds flag up inconsistent bignums when they

  * occur. If that occurs in a bn_fix_top(), we examine the code in question; if

  * the use of bn_fix_top() was appropriate (ie. it follows directly after code

  * that manipulates the bignum) it is converted to bn_correct_top(), and if it

  * was not appropriate, we convert it permanently to bn_check_top() and track

  * down the cause of the bug. Eventually, no internal code should be using the

  * bn_fix_top() macro. External applications and libraries should try this with

  * their own code too, both in terms of building against the openssl headers

  * with BN_DEBUG defined *and* linking with a version of OpenSSL built with it

  * defined. This not only improves external code, it provides more test

  * coverage for openssl's own code.

  */

 #ifdef BN_DEBUG

 /* We only need assert() when debugging */

 #include <assert.h>

 #ifdef BN_DEBUG_RAND

 /* To avoid "make update" cvs wars due to BN_DEBUG, use some tricks */

 #ifndef RAND_pseudo_bytes

 int RAND_pseudo_bytes(unsigned char *buf,int num);

 #define BN_DEBUG_TRIX

 #endif

 #define bn_pollute(a) \

 	do { \

 		const BIGNUM *_bnum1 = (a); \

 		if(_bnum1->top < _bnum1->dmax) { \

 			unsigned char _tmp_char; \

 			/* We cast away const without the compiler knowing, any \

 			 * *genuinely* constant variables that aren't mutable \

 			 * wouldn't be constructed with top!=dmax. */ \

 			BN_ULONG *_not_const; \

 			memcpy(&_not_const, &_bnum1->d, sizeof(BN_ULONG*)); \

 			RAND_pseudo_bytes(&_tmp_char, 1); \

 			memset((unsigned char *)(_not_const + _bnum1->top), _tmp_char, \

 				(_bnum1->dmax - _bnum1->top) * sizeof(BN_ULONG)); \

 		} \

 	} while(0)

 #ifdef BN_DEBUG_TRIX

 #undef RAND_pseudo_bytes

 #endif

 #else

 #define bn_pollute(a)

 #endif

 #define bn_check_top(a) \

 	do { \

 		const BIGNUM *_bnum2 = (a); \

 		if (_bnum2 != NULL) { \

 			assert((_bnum2->top == 0) || \

 				(_bnum2->d[_bnum2->top - 1] != 0)); \

 			bn_pollute(_bnum2); \

 		} \

 	} while(0)

 #define bn_fix_top(a)		bn_check_top(a)

 #else /* !BN_DEBUG */

 #define bn_pollute(a)

 #define bn_check_top(a)

 #define bn_fix_top(a)		bn_correct_top(a)

 #endif

 #define bn_correct_top(a) \

         { \

         BN_ULONG *ftl; \

 	if ((a)->top > 0) \

 		{ \

 		for (ftl= &((a)->d[(a)->top-1]); (a)->top > 0; (a)->top--) \

 		if (*(ftl--)) break; \

 		} \

 	bn_pollute(a); \

 	}

 IMPORT_C BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w);

 IMPORT_C BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w);

 IMPORT_C void     bn_sqr_words(BN_ULONG *rp, const BN_ULONG *ap, int num);

 IMPORT_C BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d);

 IMPORT_C BN_ULONG bn_add_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num);

 IMPORT_C BN_ULONG bn_sub_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num);

 /* Primes from RFC 2409 */

 IMPORT_C BIGNUM *get_rfc2409_prime_768(BIGNUM *bn);

 IMPORT_C BIGNUM *get_rfc2409_prime_1024(BIGNUM *bn);

 /* Primes from RFC 3526 */

 IMPORT_C BIGNUM *get_rfc3526_prime_1536(BIGNUM *bn);

 IMPORT_C BIGNUM *get_rfc3526_prime_2048(BIGNUM *bn);

 IMPORT_C BIGNUM *get_rfc3526_prime_3072(BIGNUM *bn);

 IMPORT_C BIGNUM *get_rfc3526_prime_4096(BIGNUM *bn);

 IMPORT_C BIGNUM *get_rfc3526_prime_6144(BIGNUM *bn);

 IMPORT_C BIGNUM *get_rfc3526_prime_8192(BIGNUM *bn);

 IMPORT_C int BN_bntest_rand(BIGNUM *rnd, int bits, int top,int bottom);

 /* BEGIN ERROR CODES */

 /* The following lines are auto generated by the script mkerr.pl. Any changes

  * made after this point may be overwritten when the script is next run.

  */

 IMPORT_C void ERR_load_BN_strings(void);

 /* Error codes for the BN functions. */

 /* Function codes. */

 #define BN_F_BNRAND					 127

 #define BN_F_BN_BLINDING_CONVERT_EX			 100

 #define BN_F_BN_BLINDING_CREATE_PARAM			 128

 #define BN_F_BN_BLINDING_INVERT_EX			 101

 #define BN_F_BN_BLINDING_NEW				 102

 #define BN_F_BN_BLINDING_UPDATE				 103

 #define BN_F_BN_BN2DEC					 104

 #define BN_F_BN_BN2HEX					 105

 #define BN_F_BN_CTX_GET					 116

 #define BN_F_BN_CTX_NEW					 106

 #define BN_F_BN_CTX_START				 129

 #define BN_F_BN_DIV					 107

 #define BN_F_BN_DIV_NO_BRANCH				 138

 #define BN_F_BN_DIV_RECP				 130

 #define BN_F_BN_EXP					 123

 #define BN_F_BN_EXPAND2					 108

 #define BN_F_BN_EXPAND_INTERNAL				 120

 #define BN_F_BN_GF2M_MOD				 131

 #define BN_F_BN_GF2M_MOD_EXP				 132

 #define BN_F_BN_GF2M_MOD_MUL				 133

 #define BN_F_BN_GF2M_MOD_SOLVE_QUAD			 134

 #define BN_F_BN_GF2M_MOD_SOLVE_QUAD_ARR			 135

 #define BN_F_BN_GF2M_MOD_SQR				 136

 #define BN_F_BN_GF2M_MOD_SQRT				 137

 #define BN_F_BN_MOD_EXP2_MONT				 118

 #define BN_F_BN_MOD_EXP_MONT				 109

 #define BN_F_BN_MOD_EXP_MONT_CONSTTIME			 124

 #define BN_F_BN_MOD_EXP_MONT_WORD			 117

 #define BN_F_BN_MOD_EXP_RECP				 125

 #define BN_F_BN_MOD_EXP_SIMPLE				 126

 #define BN_F_BN_MOD_INVERSE				 110

 #define BN_F_BN_MOD_INVERSE_NO_BRANCH			 139

 #define BN_F_BN_MOD_LSHIFT_QUICK			 119

 #define BN_F_BN_MOD_MUL_RECIPROCAL			 111

 #define BN_F_BN_MOD_SQRT				 121

 #define BN_F_BN_MPI2BN					 112

 #define BN_F_BN_NEW					 113

 #define BN_F_BN_RAND					 114

 #define BN_F_BN_RAND_RANGE				 122

 #define BN_F_BN_USUB					 115

 /* Reason codes. */

 #define BN_R_ARG2_LT_ARG3				 100

 #define BN_R_BAD_RECIPROCAL				 101

 #define BN_R_BIGNUM_TOO_LONG				 114

 #define BN_R_CALLED_WITH_EVEN_MODULUS			 102

 #define BN_R_DIV_BY_ZERO				 103

 #define BN_R_ENCODING_ERROR				 104

 #define BN_R_EXPAND_ON_STATIC_BIGNUM_DATA		 105

 #define BN_R_INPUT_NOT_REDUCED				 110

 #define BN_R_INVALID_LENGTH				 106

 #define BN_R_INVALID_RANGE				 115

 #define BN_R_NOT_A_SQUARE				 111

 #define BN_R_NOT_INITIALIZED				 107

 #define BN_R_NO_INVERSE					 108

 #define BN_R_NO_SOLUTION				 116

 #define BN_R_P_IS_NOT_PRIME				 112

 #define BN_R_TOO_MANY_ITERATIONS			 113

 #define BN_R_TOO_MANY_TEMPORARY_VARIABLES		 109

 #ifdef  __cplusplus

 }

 #endif

 #endif