/* 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  __cplusplus

extern "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 */

	unsigned long thread_id; /* added in OpenSSL 0.9.6j and 0.9.7b;

				  * used only by crypto/rsa/rsa_eay.c, rsa_lib.c */

	} 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;

	} BN_RECP_CTX;

#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 does not work reliably for w == 0 */

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

#define BN_is_zero(a)       (((a)->top == 0) || BN_abs_is_word(a,0))

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

#define BN_is_word(a,w)     ((w) ? BN_abs_is_word((a),(w)) && !(a)->neg : \

                                   BN_is_zero((a)))

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

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

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

/*#define BN_ascii2bn(a)	BN_hex2bn(a) */

/*#define BN_bn2ascii(a)	BN_bn2hex(a) */

const BIGNUM *BN_value_one(void);

char *	BN_options(void);

BN_CTX *BN_CTX_new(void);

void	BN_CTX_init(BN_CTX *c);

void	BN_CTX_free(BN_CTX *c);

void	BN_CTX_start(BN_CTX *ctx);

BIGNUM *BN_CTX_get(BN_CTX *ctx);

void	BN_CTX_end(BN_CTX *ctx);

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

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

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

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

int	BN_num_bits(const BIGNUM *a);

int	BN_num_bits_word(BN_ULONG);

BIGNUM *BN_new(void);

void	BN_init(BIGNUM *);

void	BN_clear_free(BIGNUM *a);

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

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

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

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

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

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

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

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

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

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

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

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

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))

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

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

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

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

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

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

	const BIGNUM *m, BN_CTX *ctx);

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

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

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

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

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

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

BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w);

int	BN_mul_word(BIGNUM *a, BN_ULONG w);

int	BN_add_word(BIGNUM *a, BN_ULONG w);

int	BN_sub_word(BIGNUM *a, BN_ULONG w);

int	BN_set_word(BIGNUM *a, BN_ULONG w);

BN_ULONG BN_get_word(const BIGNUM *a);

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

void	BN_free(BIGNUM *a);

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

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

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

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

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

	const BIGNUM *m,BN_CTX *ctx);

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

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

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);

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);

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

	const BIGNUM *m,BN_CTX *ctx);

int	BN_mask_bits(BIGNUM *a,int n);

#ifndef OPENSSL_NO_FP_API

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

#endif

#ifdef HEADER_BIO_H

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

#else

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

#endif

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

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

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

void	BN_clear(BIGNUM *a);

BIGNUM *BN_dup(const BIGNUM *a);

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

int	BN_set_bit(BIGNUM *a, int n);

int	BN_clear_bit(BIGNUM *a, int n);

char *	BN_bn2hex(const BIGNUM *a);

char *	BN_bn2dec(const BIGNUM *a);

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

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

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

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

BIGNUM *BN_mod_inverse(BIGNUM *ret,

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

BIGNUM *BN_mod_sqrt(BIGNUM *ret,

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

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

	const BIGNUM *add, const BIGNUM *rem,

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

int	BN_is_prime(const BIGNUM *p,int nchecks,

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

	BN_CTX *ctx,void *cb_arg);

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);

BN_MONT_CTX *BN_MONT_CTX_new(void );

void BN_MONT_CTX_init(BN_MONT_CTX *ctx);

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))

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

	BN_MONT_CTX *mont, BN_CTX *ctx);

void BN_MONT_CTX_free(BN_MONT_CTX *mont);

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

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

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

void BN_BLINDING_free(BN_BLINDING *b);

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

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

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

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

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

void	BN_RECP_CTX_init(BN_RECP_CTX *recp);

BN_RECP_CTX *BN_RECP_CTX_new(void);

void	BN_RECP_CTX_free(BN_RECP_CTX *recp);

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

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

	BN_RECP_CTX *recp,BN_CTX *ctx);

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

	const BIGNUM *m, BN_CTX *ctx);

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

	BN_RECP_CTX *recp, BN_CTX *ctx);

/* library internal functions */

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

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

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

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

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

#define bn_fix_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_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w);

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

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

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

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

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

#ifdef BN_DEBUG

void bn_dump1(FILE *o, const char *a, const BN_ULONG *b,int n);

# define bn_print(a) {fprintf(stderr, #a "="); BN_print_fp(stderr,a); \

   fprintf(stderr,"\n");}

# define bn_dump(a,n) bn_dump1(stderr,#a,a,n);

#else

# define bn_print(a)

# define bn_dump(a,b)

#endif

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.

 */

void ERR_load_BN_strings(void);

/* Error codes for the BN functions. */

/* Function codes. */

#define BN_F_BN_BLINDING_CONVERT			 100

#define BN_F_BN_BLINDING_INVERT				 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_DIV					 107

#define BN_F_BN_EXPAND2					 108

#define BN_F_BN_EXPAND_INTERNAL				 120

#define BN_F_BN_MOD_EXP2_MONT				 118

#define BN_F_BN_MOD_EXP_MONT				 109

#define BN_F_BN_MOD_EXP_MONT_WORD			 117

#define BN_F_BN_MOD_INVERSE				 110

#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. */