bn.h

老外写的加密库cryptlib(版本3.1)

 * 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);
int BN_high_bit(BIGNUM *a);
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. */
#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_P_IS_NOT_PRIME				 112
#define BN_R_TOO_MANY_ITERATIONS			 113
#define BN_R_TOO_MANY_TEMPORARY_VARIABLES		 109

/* Changed from OpenSSL original - pcg */

/* Used for temp variables */
#define BN_CTX_NUM	32
#define BN_CTX_NUM_POS	12
struct bignum_ctx
	{
	int tos;
	BIGNUM bn[BN_CTX_NUM];
	int flags;
	int depth;
	int pos[BN_CTX_NUM_POS];
	int too_many;
	} /* BN_CTX */;

#ifdef  __cplusplus
}
#endif
#endif