freebsd man page for bn_mod_mul_reciprocal

BN_mod_mul_reciprocal(3SSL)					      OpenSSL					       BN_mod_mul_reciprocal(3SSL)

NAME
       BN_mod_mul_reciprocal,  BN_div_recp, BN_RECP_CTX_new, BN_RECP_CTX_init, BN_RECP_CTX_free, BN_RECP_CTX_set - modular multiplication using
       reciprocal

SYNOPSIS
	#include <openssl/bn.h>

	BN_RECP_CTX *BN_RECP_CTX_new(void);
	void BN_RECP_CTX_init(BN_RECP_CTX *recp);
	void BN_RECP_CTX_free(BN_RECP_CTX *recp);

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

	int BN_div_recp(BIGNUM *dv, BIGNUM *rem, BIGNUM *a, BN_RECP_CTX *recp,
	       BN_CTX *ctx);

	int BN_mod_mul_reciprocal(BIGNUM *r, BIGNUM *a, BIGNUM *b,
	       BN_RECP_CTX *recp, BN_CTX *ctx);

DESCRIPTION
       BN_mod_mul_reciprocal() can be used to perform an efficient BN_mod_mul(3) operation when the operation will be performed repeatedly with
       the same modulus. It computes r=(a*b)%m using recp=1/m, which is set as described below.  ctx is a previously allocated BN_CTX used for
       temporary variables.

       BN_RECP_CTX_new() allocates and initializes a BN_RECP structure.  BN_RECP_CTX_init() initializes an existing uninitialized BN_RECP.

       BN_RECP_CTX_free() frees the components of the BN_RECP, and, if it was created by BN_RECP_CTX_new(), also the structure itself.

       BN_RECP_CTX_set() stores m in recp and sets it up for computing 1/m and shifting it left by BN_num_bits(m)+1 to make it an integer. The
       result and the number of bits it was shifted left will later be stored in recp.

       BN_div_recp() divides a by m using recp. It places the quotient in dv and the remainder in rem.

       The BN_RECP_CTX structure is defined as follows:

	typedef struct bn_recp_ctx_st
	       {
	       BIGNUM N;       /* the divisor */
	       BIGNUM Nr;      /* the reciprocal */
	       int num_bits;
	       int shift;
	       int flags;
	       } BN_RECP_CTX;

       It cannot be shared between threads.

RETURN VALUES
       BN_RECP_CTX_new() returns the newly allocated BN_RECP_CTX, and NULL on error.

       BN_RECP_CTX_init() and BN_RECP_CTX_free() have no return values.

       For the other functions, 1 is returned for success, 0 on error.	The error codes can be obtained by ERR_get_error(3).

SEE ALSO
       bn(3), ERR_get_error(3), BN_add(3), BN_CTX_new(3)

HISTORY
       BN_RECP_CTX was added in SSLeay 0.9.0. Before that, the function BN_reciprocal() was used instead, and the BN_mod_mul_reciprocal()
       arguments were different.

1.0.1e								    2013-02-11					       BN_mod_mul_reciprocal(3SSL)