bn.h File Reference

#include <openssl/base.h>
#include <openssl/thread.h>
#include <inttypes.h>
#include <stdio.h>

Go to the source code of this file.

Classes
struct	bn_gencb_st
struct	bignum_st
struct	bn_mont_ctx_st

Macros
#define	BN_mod(rem, numerator, divisor, ctx)   BN_div(NULL, (rem), (numerator), (divisor), (ctx))
#define	BN_RAND_TOP_ANY   -1
#define	BN_RAND_TOP_ONE   0
#define	BN_RAND_TOP_TWO   1
#define	BN_RAND_BOTTOM_ANY   0
#define	BN_RAND_BOTTOM_ODD   1
#define	BN_GENCB_GENERATED   0
#define	BN_GENCB_PRIME_TEST   1
#define	BN_prime_checks   0
#define	BN_FLG_MALLOCED   0x01
#define	BN_FLG_STATIC_DATA   0x02
#define	BN_FLG_CONSTTIME   0x04
#define	BN_R_ARG2_LT_ARG3   100
#define	BN_R_BAD_RECIPROCAL   101
#define	BN_R_BIGNUM_TOO_LONG   102
#define	BN_R_BITS_TOO_SMALL   103
#define	BN_R_CALLED_WITH_EVEN_MODULUS   104
#define	BN_R_DIV_BY_ZERO   105
#define	BN_R_EXPAND_ON_STATIC_BIGNUM_DATA   106
#define	BN_R_INPUT_NOT_REDUCED   107
#define	BN_R_INVALID_RANGE   108
#define	BN_R_NEGATIVE_NUMBER   109
#define	BN_R_NOT_A_SQUARE   110
#define	BN_R_NOT_INITIALIZED   111
#define	BN_R_NO_INVERSE   112
#define	BN_R_PRIVATE_KEY_TOO_LARGE   113
#define	BN_R_P_IS_NOT_PRIME   114
#define	BN_R_TOO_MANY_ITERATIONS   115
#define	BN_R_TOO_MANY_TEMPORARY_VARIABLES   116
#define	BN_R_BAD_ENCODING   117
#define	BN_R_ENCODE_ERROR   118

Functions
OPENSSL_EXPORT BIGNUM *	BN_new (void)
OPENSSL_EXPORT void	BN_init (BIGNUM *bn)
OPENSSL_EXPORT void	BN_free (BIGNUM *bn)
OPENSSL_EXPORT void	BN_clear_free (BIGNUM *bn)
OPENSSL_EXPORT BIGNUM *	BN_dup (const BIGNUM *src)
OPENSSL_EXPORT BIGNUM *	BN_copy (BIGNUM *dest, const BIGNUM *src)
OPENSSL_EXPORT void	BN_clear (BIGNUM *bn)
OPENSSL_EXPORT const BIGNUM *	BN_value_one (void)
OPENSSL_EXPORT void	BN_with_flags (BIGNUM *out, const BIGNUM *in, int flags)
OPENSSL_EXPORT unsigned	BN_num_bits (const BIGNUM *bn)
OPENSSL_EXPORT unsigned	BN_num_bytes (const BIGNUM *bn)
OPENSSL_EXPORT void	BN_zero (BIGNUM *bn)
OPENSSL_EXPORT int	BN_one (BIGNUM *bn)
OPENSSL_EXPORT int	BN_set_word (BIGNUM *bn, BN_ULONG value)
OPENSSL_EXPORT int	BN_set_u64 (BIGNUM *bn, uint64_t value)
OPENSSL_EXPORT void	BN_set_negative (BIGNUM *bn, int sign)
OPENSSL_EXPORT int	BN_is_negative (const BIGNUM *bn)
OPENSSL_EXPORT int	BN_get_flags (const BIGNUM *bn, int flags)
OPENSSL_EXPORT void	BN_set_flags (BIGNUM *bn, int flags)
OPENSSL_EXPORT BIGNUM *	BN_bin2bn (const uint8_t *in, size_t len, BIGNUM *ret)
OPENSSL_EXPORT size_t	BN_bn2bin (const BIGNUM *in, uint8_t *out)
OPENSSL_EXPORT int	BN_bn2bin_padded (uint8_t *out, size_t len, const BIGNUM *in)
OPENSSL_EXPORT int	BN_bn2cbb_padded (CBB *out, size_t len, const BIGNUM *in)
OPENSSL_EXPORT char *	BN_bn2hex (const BIGNUM *bn)
OPENSSL_EXPORT int	BN_hex2bn (BIGNUM **outp, const char *in)
OPENSSL_EXPORT char *	BN_bn2dec (const BIGNUM *a)
OPENSSL_EXPORT int	BN_dec2bn (BIGNUM **outp, const char *in)
OPENSSL_EXPORT int	BN_asc2bn (BIGNUM **outp, const char *in)
OPENSSL_EXPORT int	BN_print (BIO *bio, const BIGNUM *a)
OPENSSL_EXPORT int	BN_print_fp (FILE *fp, const BIGNUM *a)
OPENSSL_EXPORT BN_ULONG	BN_get_word (const BIGNUM *bn)
OPENSSL_EXPORT int	BN_parse_asn1_unsigned (CBS *cbs, BIGNUM *ret)
OPENSSL_EXPORT int	BN_parse_asn1_unsigned_buggy (CBS *cbs, BIGNUM *ret)
OPENSSL_EXPORT int	BN_marshal_asn1 (CBB *cbb, const BIGNUM *bn)
OPENSSL_EXPORT void	bn_correct_top (BIGNUM *bn)
OPENSSL_EXPORT BIGNUM *	bn_wexpand (BIGNUM *bn, size_t words)
OPENSSL_EXPORT BN_CTX *	BN_CTX_new (void)
OPENSSL_EXPORT void	BN_CTX_free (BN_CTX *ctx)
OPENSSL_EXPORT void	BN_CTX_start (BN_CTX *ctx)
OPENSSL_EXPORT BIGNUM *	BN_CTX_get (BN_CTX *ctx)
OPENSSL_EXPORT void	BN_CTX_end (BN_CTX *ctx)
OPENSSL_EXPORT int	BN_add (BIGNUM *r, const BIGNUM *a, const BIGNUM *b)
OPENSSL_EXPORT int	BN_uadd (BIGNUM *r, const BIGNUM *a, const BIGNUM *b)
OPENSSL_EXPORT int	BN_add_word (BIGNUM *a, BN_ULONG w)
OPENSSL_EXPORT int	BN_sub (BIGNUM *r, const BIGNUM *a, const BIGNUM *b)
OPENSSL_EXPORT int	BN_usub (BIGNUM *r, const BIGNUM *a, const BIGNUM *b)
OPENSSL_EXPORT int	BN_sub_word (BIGNUM *a, BN_ULONG w)
OPENSSL_EXPORT int	BN_mul (BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
OPENSSL_EXPORT int	BN_mul_word (BIGNUM *bn, BN_ULONG w)
OPENSSL_EXPORT int	BN_sqr (BIGNUM *r, const BIGNUM *a, BN_CTX *ctx)
OPENSSL_EXPORT int	BN_div (BIGNUM *quotient, BIGNUM *rem, const BIGNUM *numerator, const BIGNUM *divisor, BN_CTX *ctx)
OPENSSL_EXPORT BN_ULONG	BN_div_word (BIGNUM *numerator, BN_ULONG divisor)
OPENSSL_EXPORT int	BN_sqrt (BIGNUM *out_sqrt, const BIGNUM *in, BN_CTX *ctx)
OPENSSL_EXPORT int	BN_cmp (const BIGNUM *a, const BIGNUM *b)
OPENSSL_EXPORT int	BN_cmp_word (const BIGNUM *a, BN_ULONG b)
OPENSSL_EXPORT int	BN_ucmp (const BIGNUM *a, const BIGNUM *b)
OPENSSL_EXPORT int	BN_equal_consttime (const BIGNUM *a, const BIGNUM *b)
OPENSSL_EXPORT int	BN_abs_is_word (const BIGNUM *bn, BN_ULONG w)
OPENSSL_EXPORT int	BN_is_zero (const BIGNUM *bn)
OPENSSL_EXPORT int	BN_is_one (const BIGNUM *bn)
OPENSSL_EXPORT int	BN_is_word (const BIGNUM *bn, BN_ULONG w)
OPENSSL_EXPORT int	BN_is_odd (const BIGNUM *bn)
OPENSSL_EXPORT int	BN_lshift (BIGNUM *r, const BIGNUM *a, int n)
OPENSSL_EXPORT int	BN_lshift1 (BIGNUM *r, const BIGNUM *a)
OPENSSL_EXPORT int	BN_rshift (BIGNUM *r, const BIGNUM *a, int n)
OPENSSL_EXPORT int	BN_rshift1 (BIGNUM *r, const BIGNUM *a)
OPENSSL_EXPORT int	BN_set_bit (BIGNUM *a, int n)
OPENSSL_EXPORT int	BN_clear_bit (BIGNUM *a, int n)
OPENSSL_EXPORT int	BN_is_bit_set (const BIGNUM *a, int n)
OPENSSL_EXPORT int	BN_mask_bits (BIGNUM *a, int n)
OPENSSL_EXPORT BN_ULONG	BN_mod_word (const BIGNUM *a, BN_ULONG w)
OPENSSL_EXPORT int	BN_nnmod (BIGNUM *rem, const BIGNUM *numerator, const BIGNUM *divisor, BN_CTX *ctx)
OPENSSL_EXPORT int	BN_mod_add (BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx)
OPENSSL_EXPORT int	BN_mod_add_quick (BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m)
OPENSSL_EXPORT int	BN_mod_sub (BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx)
OPENSSL_EXPORT int	BN_mod_sub_quick (BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m)
OPENSSL_EXPORT int	BN_mod_mul (BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx)
OPENSSL_EXPORT int	BN_mod_sqr (BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx)
OPENSSL_EXPORT int	BN_mod_lshift (BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m, BN_CTX *ctx)
OPENSSL_EXPORT int	BN_mod_lshift_quick (BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m)
OPENSSL_EXPORT int	BN_mod_lshift1 (BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx)
OPENSSL_EXPORT int	BN_mod_lshift1_quick (BIGNUM *r, const BIGNUM *a, const BIGNUM *m)
OPENSSL_EXPORT BIGNUM *	BN_mod_sqrt (BIGNUM *in, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
OPENSSL_EXPORT int	BN_rand (BIGNUM *rnd, int bits, int top, int bottom)
OPENSSL_EXPORT int	BN_pseudo_rand (BIGNUM *rnd, int bits, int top, int bottom)
OPENSSL_EXPORT int	BN_rand_range (BIGNUM *rnd, const BIGNUM *range)
OPENSSL_EXPORT int	BN_rand_range_ex (BIGNUM *r, BN_ULONG min_inclusive, const BIGNUM *max_exclusive)
OPENSSL_EXPORT int	BN_pseudo_rand_range (BIGNUM *rnd, const BIGNUM *range)
OPENSSL_EXPORT int	BN_generate_dsa_nonce (BIGNUM *out, const BIGNUM *range, const BIGNUM *priv, const uint8_t *message, size_t message_len, BN_CTX *ctx)
OPENSSL_EXPORT void	BN_GENCB_set (BN_GENCB *callback, int(*f)(int event, int n, struct bn_gencb_st *), void *arg)
OPENSSL_EXPORT int	BN_GENCB_call (BN_GENCB *callback, int event, int n)
OPENSSL_EXPORT int	BN_generate_prime_ex (BIGNUM *ret, int bits, int safe, const BIGNUM *add, const BIGNUM *rem, BN_GENCB *cb)
OPENSSL_EXPORT int	BN_primality_test (int *is_probably_prime, const BIGNUM *candidate, int checks, BN_CTX *ctx, int do_trial_division, BN_GENCB *cb)
OPENSSL_EXPORT int	BN_is_prime_fasttest_ex (const BIGNUM *candidate, int checks, BN_CTX *ctx, int do_trial_division, BN_GENCB *cb)
OPENSSL_EXPORT int	BN_is_prime_ex (const BIGNUM *candidate, int checks, BN_CTX *ctx, BN_GENCB *cb)
OPENSSL_EXPORT int	BN_gcd (BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
OPENSSL_EXPORT BIGNUM *	BN_mod_inverse (BIGNUM *out, const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx)
int	BN_mod_inverse_blinded (BIGNUM *out, int *out_no_inverse, const BIGNUM *a, const BN_MONT_CTX *mont, BN_CTX *ctx)
int	BN_mod_inverse_odd (BIGNUM *out, int *out_no_inverse, const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx)
OPENSSL_EXPORT int	BN_kronecker (const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
OPENSSL_EXPORT BN_MONT_CTX *	BN_MONT_CTX_new (void)
OPENSSL_EXPORT void	BN_MONT_CTX_free (BN_MONT_CTX *mont)
OPENSSL_EXPORT BN_MONT_CTX *	BN_MONT_CTX_copy (BN_MONT_CTX *to, const BN_MONT_CTX *from)
OPENSSL_EXPORT int	BN_MONT_CTX_set (BN_MONT_CTX *mont, const BIGNUM *mod, BN_CTX *ctx)
int	BN_MONT_CTX_set_locked (BN_MONT_CTX **pmont, CRYPTO_MUTEX *lock, const BIGNUM *mod, BN_CTX *bn_ctx)
OPENSSL_EXPORT int	BN_to_montgomery (BIGNUM *ret, const BIGNUM *a, const BN_MONT_CTX *mont, BN_CTX *ctx)
OPENSSL_EXPORT int	BN_from_montgomery (BIGNUM *ret, const BIGNUM *a, const BN_MONT_CTX *mont, BN_CTX *ctx)
OPENSSL_EXPORT int	BN_mod_mul_montgomery (BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BN_MONT_CTX *mont, BN_CTX *ctx)
OPENSSL_EXPORT int	BN_exp (BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
OPENSSL_EXPORT int	BN_mod_exp (BIGNUM *r, const BIGNUM *a, const BIGNUM *p, const BIGNUM *m, BN_CTX *ctx)
OPENSSL_EXPORT int	BN_mod_exp_mont (BIGNUM *r, const BIGNUM *a, const BIGNUM *p, const BIGNUM *m, BN_CTX *ctx, const BN_MONT_CTX *mont)
OPENSSL_EXPORT int	BN_mod_exp_mont_consttime (BIGNUM *rr, const BIGNUM *a, const BIGNUM *p, const BIGNUM *m, BN_CTX *ctx, const BN_MONT_CTX *mont)
OPENSSL_EXPORT size_t	BN_bn2mpi (const BIGNUM *in, uint8_t *out)
OPENSSL_EXPORT BIGNUM *	BN_mpi2bn (const uint8_t *in, size_t len, BIGNUM *out)
OPENSSL_EXPORT int	BN_mod_exp_mont_word (BIGNUM *r, BN_ULONG a, const BIGNUM *p, const BIGNUM *m, BN_CTX *ctx, const BN_MONT_CTX *mont)
OPENSSL_EXPORT 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, const BN_MONT_CTX *mont)
OPENSSL_EXPORT unsigned	BN_num_bits_word (BN_ULONG l)

Macro Definition Documentation

BN_FLG_CONSTTIME

#define BN_FLG_CONSTTIME   0x04

BN_FLG_MALLOCED

#define BN_FLG_MALLOCED   0x01

BN_FLG_STATIC_DATA

#define BN_FLG_STATIC_DATA   0x02

BN_GENCB_GENERATED

#define BN_GENCB_GENERATED   0

BN_GENCB_PRIME_TEST

#define BN_GENCB_PRIME_TEST   1

BN_mod

#define BN_mod	(		rem,
			numerator,
			divisor,
			ctx
	)		BN_div(NULL, (rem), (numerator), (divisor), (ctx))

BN_prime_checks

#define BN_prime_checks   0

BN_R_ARG2_LT_ARG3

#define BN_R_ARG2_LT_ARG3   100

BN_R_BAD_ENCODING

#define BN_R_BAD_ENCODING   117

BN_R_BAD_RECIPROCAL

#define BN_R_BAD_RECIPROCAL   101

BN_R_BIGNUM_TOO_LONG

#define BN_R_BIGNUM_TOO_LONG   102

BN_R_BITS_TOO_SMALL

#define BN_R_BITS_TOO_SMALL   103

BN_R_CALLED_WITH_EVEN_MODULUS

#define BN_R_CALLED_WITH_EVEN_MODULUS   104

BN_R_DIV_BY_ZERO

#define BN_R_DIV_BY_ZERO   105

BN_R_ENCODE_ERROR

#define BN_R_ENCODE_ERROR   118

BN_R_EXPAND_ON_STATIC_BIGNUM_DATA

#define BN_R_EXPAND_ON_STATIC_BIGNUM_DATA   106

BN_R_INPUT_NOT_REDUCED

#define BN_R_INPUT_NOT_REDUCED   107

BN_R_INVALID_RANGE

#define BN_R_INVALID_RANGE   108

BN_R_NEGATIVE_NUMBER

#define BN_R_NEGATIVE_NUMBER   109

BN_R_NO_INVERSE

#define BN_R_NO_INVERSE   112

BN_R_NOT_A_SQUARE

#define BN_R_NOT_A_SQUARE   110

BN_R_NOT_INITIALIZED

#define BN_R_NOT_INITIALIZED   111

BN_R_P_IS_NOT_PRIME

#define BN_R_P_IS_NOT_PRIME   114

BN_R_PRIVATE_KEY_TOO_LARGE

#define BN_R_PRIVATE_KEY_TOO_LARGE   113

BN_R_TOO_MANY_ITERATIONS

#define BN_R_TOO_MANY_ITERATIONS   115

BN_R_TOO_MANY_TEMPORARY_VARIABLES

#define BN_R_TOO_MANY_TEMPORARY_VARIABLES   116

BN_RAND_BOTTOM_ANY

#define BN_RAND_BOTTOM_ANY   0

BN_RAND_BOTTOM_ODD

#define BN_RAND_BOTTOM_ODD   1

BN_RAND_TOP_ANY

#define BN_RAND_TOP_ANY   -1

BN_RAND_TOP_ONE

#define BN_RAND_TOP_ONE   0

BN_RAND_TOP_TWO

#define BN_RAND_TOP_TWO   1

Function Documentation

BN_abs_is_word()

OPENSSL_EXPORT int BN_abs_is_word	(	const BIGNUM *	bn,
		BN_ULONG	w
	)

BN_add()

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

BN_add_word()

OPENSSL_EXPORT int BN_add_word	(	BIGNUM *	a,
		BN_ULONG	w
	)

BN_asc2bn()

OPENSSL_EXPORT int BN_asc2bn	(	BIGNUM **	outp,
		const char *	in
	)

BN_bin2bn()

OPENSSL_EXPORT BIGNUM* BN_bin2bn	(	const uint8_t *	in,
		size_t	len,
		BIGNUM *	ret
	)

BN_bn2bin()

OPENSSL_EXPORT size_t BN_bn2bin	(	const BIGNUM *	in,
		uint8_t *	out
	)

BN_bn2bin_padded()

OPENSSL_EXPORT int BN_bn2bin_padded	(	uint8_t *	out,
		size_t	len,
		const BIGNUM *	in
	)

BN_bn2cbb_padded()

OPENSSL_EXPORT int BN_bn2cbb_padded	(	CBB *	out,
		size_t	len,
		const BIGNUM *	in
	)

BN_bn2dec()

OPENSSL_EXPORT char* BN_bn2dec

(

const BIGNUM *

a

)

BN_bn2hex()

OPENSSL_EXPORT char* BN_bn2hex

(

const BIGNUM *

bn

)

BN_bn2mpi()

OPENSSL_EXPORT size_t BN_bn2mpi	(	const BIGNUM *	in,
		uint8_t *	out
	)

BN_clear()

OPENSSL_EXPORT void BN_clear

(

BIGNUM *

bn

)

BN_clear_bit()

OPENSSL_EXPORT int BN_clear_bit	(	BIGNUM *	a,
		int	n
	)

BN_clear_free()

OPENSSL_EXPORT void BN_clear_free

(

BIGNUM *

bn

)

BN_cmp()

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

BN_cmp_word()

OPENSSL_EXPORT int BN_cmp_word	(	const BIGNUM *	a,
		BN_ULONG	b
	)

BN_copy()

OPENSSL_EXPORT BIGNUM* BN_copy	(	BIGNUM *	dest,
		const BIGNUM *	src
	)

bn_correct_top()

OPENSSL_EXPORT void bn_correct_top

(

BIGNUM *

bn

)

BN_CTX_end()

OPENSSL_EXPORT void BN_CTX_end

(

BN_CTX *

ctx

)

BN_CTX_free()

OPENSSL_EXPORT void BN_CTX_free

(

BN_CTX *

ctx

)

BN_CTX_get()

OPENSSL_EXPORT BIGNUM* BN_CTX_get

(

BN_CTX *

ctx

)

BN_CTX_new()

OPENSSL_EXPORT BN_CTX* BN_CTX_new

(

void

)

BN_CTX_start()

OPENSSL_EXPORT void BN_CTX_start

(

BN_CTX *

ctx

)

BN_dec2bn()

OPENSSL_EXPORT int BN_dec2bn	(	BIGNUM **	outp,
		const char *	in
	)

BN_div()

OPENSSL_EXPORT int BN_div	(	BIGNUM *	quotient,
		BIGNUM *	rem,
		const BIGNUM *	numerator,
		const BIGNUM *	divisor,
		BN_CTX *	ctx
	)

BN_div_word()

OPENSSL_EXPORT BN_ULONG BN_div_word	(	BIGNUM *	numerator,
		BN_ULONG	divisor
	)

BN_dup()

OPENSSL_EXPORT BIGNUM* BN_dup

(

const BIGNUM *

src

)

BN_equal_consttime()

OPENSSL_EXPORT int BN_equal_consttime	(	const BIGNUM *	a,
		const BIGNUM *	b
	)

BN_exp()

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

BN_free()

OPENSSL_EXPORT void BN_free

(

BIGNUM *

bn

)

BN_from_montgomery()

OPENSSL_EXPORT int BN_from_montgomery	(	BIGNUM *	ret,
		const BIGNUM *	a,
		const BN_MONT_CTX *	mont,
		BN_CTX *	ctx
	)

BN_gcd()

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

BN_GENCB_call()

OPENSSL_EXPORT int BN_GENCB_call	(	BN_GENCB *	callback,
		int	event,
		int	n
	)

BN_GENCB_set()

OPENSSL_EXPORT void BN_GENCB_set	(	BN_GENCB *	callback,
		int(*)(int event, int n, struct bn_gencb_st *)	f,
		void *	arg
	)

BN_generate_dsa_nonce()

OPENSSL_EXPORT int BN_generate_dsa_nonce	(	BIGNUM *	out,
		const BIGNUM *	range,
		const BIGNUM *	priv,
		const uint8_t *	message,
		size_t	message_len,
		BN_CTX *	ctx
	)

BN_generate_prime_ex()

OPENSSL_EXPORT int BN_generate_prime_ex	(	BIGNUM *	ret,
		int	bits,
		int	safe,
		const BIGNUM *	add,
		const BIGNUM *	rem,
		BN_GENCB *	cb
	)

BN_get_flags()

OPENSSL_EXPORT int BN_get_flags	(	const BIGNUM *	bn,
		int	flags
	)

BN_get_word()

OPENSSL_EXPORT BN_ULONG BN_get_word

(

const BIGNUM *

bn

)

BN_hex2bn()

OPENSSL_EXPORT int BN_hex2bn	(	BIGNUM **	outp,
		const char *	in
	)

BN_init()

OPENSSL_EXPORT void BN_init

(

BIGNUM *

bn

)

BN_is_bit_set()

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

BN_is_negative()

OPENSSL_EXPORT int BN_is_negative

(

const BIGNUM *

bn

)

BN_is_odd()

OPENSSL_EXPORT int BN_is_odd

(

const BIGNUM *

bn

)

BN_is_one()

OPENSSL_EXPORT int BN_is_one

(

const BIGNUM *

bn

)

BN_is_prime_ex()

OPENSSL_EXPORT int BN_is_prime_ex	(	const BIGNUM *	candidate,
		int	checks,
		BN_CTX *	ctx,
		BN_GENCB *	cb
	)

BN_is_prime_fasttest_ex()

OPENSSL_EXPORT int BN_is_prime_fasttest_ex	(	const BIGNUM *	candidate,
		int	checks,
		BN_CTX *	ctx,
		int	do_trial_division,
		BN_GENCB *	cb
	)

BN_is_word()

OPENSSL_EXPORT int BN_is_word	(	const BIGNUM *	bn,
		BN_ULONG	w
	)

BN_is_zero()

OPENSSL_EXPORT int BN_is_zero

(

const BIGNUM *

bn

)

BN_kronecker()

OPENSSL_EXPORT int BN_kronecker	(	const BIGNUM *	a,
		const BIGNUM *	b,
		BN_CTX *	ctx
	)

BN_lshift()

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

BN_lshift1()

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

BN_marshal_asn1()

OPENSSL_EXPORT int BN_marshal_asn1	(	CBB *	cbb,
		const BIGNUM *	bn
	)

BN_mask_bits()

OPENSSL_EXPORT int BN_mask_bits	(	BIGNUM *	a,
		int	n
	)

BN_mod_add()

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

BN_mod_add_quick()

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

BN_mod_exp()

OPENSSL_EXPORT int BN_mod_exp	(	BIGNUM *	r,
		const BIGNUM *	a,
		const BIGNUM *	p,
		const BIGNUM *	m,
		BN_CTX *	ctx
	)

BN_mod_exp2_mont()

OPENSSL_EXPORT 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,
		const BN_MONT_CTX *	mont
	)

BN_mod_exp_mont()

OPENSSL_EXPORT int BN_mod_exp_mont	(	BIGNUM *	r,
		const BIGNUM *	a,
		const BIGNUM *	p,
		const BIGNUM *	m,
		BN_CTX *	ctx,
		const BN_MONT_CTX *	mont
	)

BN_mod_exp_mont_consttime()

OPENSSL_EXPORT int BN_mod_exp_mont_consttime	(	BIGNUM *	rr,
		const BIGNUM *	a,
		const BIGNUM *	p,
		const BIGNUM *	m,
		BN_CTX *	ctx,
		const BN_MONT_CTX *	mont
	)

BN_mod_exp_mont_word()

OPENSSL_EXPORT int BN_mod_exp_mont_word	(	BIGNUM *	r,
		BN_ULONG	a,
		const BIGNUM *	p,
		const BIGNUM *	m,
		BN_CTX *	ctx,
		const BN_MONT_CTX *	mont
	)

BN_mod_inverse()

OPENSSL_EXPORT BIGNUM* BN_mod_inverse	(	BIGNUM *	out,
		const BIGNUM *	a,
		const BIGNUM *	n,
		BN_CTX *	ctx
	)

BN_mod_inverse_blinded()

int BN_mod_inverse_blinded	(	BIGNUM *	out,
		int *	out_no_inverse,
		const BIGNUM *	a,
		const BN_MONT_CTX *	mont,
		BN_CTX *	ctx
	)

BN_mod_inverse_odd()

int BN_mod_inverse_odd	(	BIGNUM *	out,
		int *	out_no_inverse,
		const BIGNUM *	a,
		const BIGNUM *	n,
		BN_CTX *	ctx
	)

BN_mod_lshift()

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

BN_mod_lshift1()

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

BN_mod_lshift1_quick()

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

BN_mod_lshift_quick()

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

BN_mod_mul()

OPENSSL_EXPORT int BN_mod_mul	(	BIGNUM *	r,
		const BIGNUM *	a,
		const BIGNUM *	b,
		const BIGNUM *	m,
		BN_CTX *	ctx
	)

BN_mod_mul_montgomery()

OPENSSL_EXPORT int BN_mod_mul_montgomery	(	BIGNUM *	r,
		const BIGNUM *	a,
		const BIGNUM *	b,
		const BN_MONT_CTX *	mont,
		BN_CTX *	ctx
	)

BN_mod_sqr()

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

BN_mod_sqrt()

OPENSSL_EXPORT BIGNUM* BN_mod_sqrt	(	BIGNUM *	in,
		const BIGNUM *	a,
		const BIGNUM *	p,
		BN_CTX *	ctx
	)

BN_mod_sub()

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

BN_mod_sub_quick()

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

BN_mod_word()

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

BN_MONT_CTX_copy()

OPENSSL_EXPORT BN_MONT_CTX* BN_MONT_CTX_copy	(	BN_MONT_CTX *	to,
		const BN_MONT_CTX *	from
	)

BN_MONT_CTX_free()

OPENSSL_EXPORT void BN_MONT_CTX_free

(

BN_MONT_CTX *

mont

)

BN_MONT_CTX_new()

OPENSSL_EXPORT BN_MONT_CTX* BN_MONT_CTX_new

(

void

)

BN_MONT_CTX_set()

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

BN_MONT_CTX_set_locked()

int BN_MONT_CTX_set_locked	(	BN_MONT_CTX **	pmont,
		CRYPTO_MUTEX *	lock,
		const BIGNUM *	mod,
		BN_CTX *	bn_ctx
	)

BN_mpi2bn()

OPENSSL_EXPORT BIGNUM* BN_mpi2bn	(	const uint8_t *	in,
		size_t	len,
		BIGNUM *	out
	)

BN_mul()

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

BN_mul_word()

OPENSSL_EXPORT int BN_mul_word	(	BIGNUM *	bn,
		BN_ULONG	w
	)

BN_new()

OPENSSL_EXPORT BIGNUM* BN_new

(

void

)

BN_nnmod()

OPENSSL_EXPORT int BN_nnmod	(	BIGNUM *	rem,
		const BIGNUM *	numerator,
		const BIGNUM *	divisor,
		BN_CTX *	ctx
	)

BN_num_bits()

OPENSSL_EXPORT unsigned BN_num_bits

(

const BIGNUM *

bn

)

BN_num_bits_word()

OPENSSL_EXPORT unsigned BN_num_bits_word

(

BN_ULONG

l

)

BN_num_bytes()

OPENSSL_EXPORT unsigned BN_num_bytes

(

const BIGNUM *

bn

)

BN_one()

OPENSSL_EXPORT int BN_one

(

BIGNUM *

bn

)

BN_parse_asn1_unsigned()

OPENSSL_EXPORT int BN_parse_asn1_unsigned	(	CBS *	cbs,
		BIGNUM *	ret
	)

BN_parse_asn1_unsigned_buggy()

OPENSSL_EXPORT int BN_parse_asn1_unsigned_buggy	(	CBS *	cbs,
		BIGNUM *	ret
	)

BN_primality_test()

OPENSSL_EXPORT int BN_primality_test	(	int *	is_probably_prime,
		const BIGNUM *	candidate,
		int	checks,
		BN_CTX *	ctx,
		int	do_trial_division,
		BN_GENCB *	cb
	)

BN_print()

OPENSSL_EXPORT int BN_print	(	BIO *	bio,
		const BIGNUM *	a
	)

BN_print_fp()

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

BN_pseudo_rand()

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

BN_pseudo_rand_range()

OPENSSL_EXPORT int BN_pseudo_rand_range	(	BIGNUM *	rnd,
		const BIGNUM *	range
	)

BN_rand()

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

BN_rand_range()

OPENSSL_EXPORT int BN_rand_range	(	BIGNUM *	rnd,
		const BIGNUM *	range
	)

BN_rand_range_ex()

OPENSSL_EXPORT int BN_rand_range_ex	(	BIGNUM *	r,
		BN_ULONG	min_inclusive,
		const BIGNUM *	max_exclusive
	)

BN_rshift()

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

BN_rshift1()

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

BN_set_bit()

OPENSSL_EXPORT int BN_set_bit	(	BIGNUM *	a,
		int	n
	)

BN_set_flags()

OPENSSL_EXPORT void BN_set_flags	(	BIGNUM *	bn,
		int	flags
	)

BN_set_negative()

OPENSSL_EXPORT void BN_set_negative	(	BIGNUM *	bn,
		int	sign
	)

BN_set_u64()

OPENSSL_EXPORT int BN_set_u64	(	BIGNUM *	bn,
		uint64_t	value
	)

BN_set_word()

OPENSSL_EXPORT int BN_set_word	(	BIGNUM *	bn,
		BN_ULONG	value
	)

BN_sqr()

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

BN_sqrt()

OPENSSL_EXPORT int BN_sqrt	(	BIGNUM *	out_sqrt,
		const BIGNUM *	in,
		BN_CTX *	ctx
	)

BN_sub()

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

BN_sub_word()

OPENSSL_EXPORT int BN_sub_word	(	BIGNUM *	a,
		BN_ULONG	w
	)

BN_to_montgomery()

OPENSSL_EXPORT int BN_to_montgomery	(	BIGNUM *	ret,
		const BIGNUM *	a,
		const BN_MONT_CTX *	mont,
		BN_CTX *	ctx
	)

BN_uadd()

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

BN_ucmp()

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

BN_usub()

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

BN_value_one()

OPENSSL_EXPORT const BIGNUM* BN_value_one

(

void

)

bn_wexpand()

OPENSSL_EXPORT BIGNUM* bn_wexpand	(	BIGNUM *	bn,
		size_t	words
	)

BN_with_flags()

OPENSSL_EXPORT void BN_with_flags	(	BIGNUM *	out,
		const BIGNUM *	in,
		int	flags
	)

BN_zero()

OPENSSL_EXPORT void BN_zero

(

BIGNUM *

bn

)