bn.h

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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,  */
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

const BIGNUM *BN_value_one(void);
char *	BN_options(void);
BN_CTX *BN_CTX_new(void);
#ifndef OPENSSL_NO_DEPRECATED
void	BN_CTX_init(BN_CTX *c);
#endif
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);
/** BN_set_negative sets sign of a BIGNUM
 * \param  b  pointer to the BIGNUM object
 * \param  n  0 if the BIGNUM b should be positive and a value != 0 otherwise 
 */
void	BN_set_negative(BIGNUM *b, int n);
/** BN_is_negative returns 1 if the BIGNUM is negative
 * \param  a  pointer to the BIGNUM object
 * \return 1 if a < 0 and 0 otherwise
 */
#define BN_is_negative(a) ((a)->neg != 0)

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_consttime(BIGNUM *rr, const BIGNUM *a, const BIGNUM *p,
	const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *in_mont);
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);

/* Deprecated versions */
#ifndef OPENSSL_NO_DEPRECATED
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);
#endif /* !defined(OPENSSL_NO_DEPRECATED) */

/* Newer versions */
int	BN_generate_prime_ex(BIGNUM *ret,int bits,int safe, const BIGNUM *add,
		const BIGNUM *rem, BN_GENCB *cb);
int	BN_is_prime_ex(const BIGNUM *p,int nchecks, BN_CTX *ctx, BN_GENCB *cb);
int	BN_is_prime_fasttest_ex(const BIGNUM *p,int nchecks, BN_CTX *ctx,
		int do_trial_division, BN_GENCB *cb);

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_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

BN_BLINDING *BN_BLINDING_new(const BIGNUM *A, const 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 *b, BN_CTX *ctx);
int BN_BLINDING_invert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);
int BN_BLINDING_convert_ex(BIGNUM *n, BIGNUM *r, BN_BLINDING *b, BN_CTX *);
int BN_BLINDING_invert_ex(BIGNUM *n, const BIGNUM *r, BN_BLINDING *b, BN_CTX *);
unsigned long BN_BLINDING_get_thread_id(const BN_BLINDING *);
void BN_BLINDING_set_thread_id(BN_BLINDING *, unsigned long);
unsigned long BN_BLINDING_get_flags(const BN_BLINDING *);
void BN_BLINDING_set_flags(BN_BLINDING *, unsigned long);
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);