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BN_mod_mul_reciprocal(3)

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

The BN_mod_mul_reciprocal() function can be used to perform an efficient BN_mod_mul() 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. The BN_RECP_CTX_new() function allocates and initializes a BN_RECP structure. The BN_RECP_CTX_init() function initializes an existing uninitialized BN_RECP. The BN_RECP_CTX_free() function frees the components of the BN_RECP, and, if it was created by BN_RECP_CTX_new(), also the structure itself. The BN_RECP_CTX_set() function 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. The BN_div_recp() function 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

The BN_RECP_CTX_new() function returns the newly allocated BN_RECP_CTX, and NULL on error. The BN_RECP_CTX_init() and BN_RECP_CTX_free() functions 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).

HISTORY

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

SEE ALSO

Functions: bn(3), err(3), BN_add(3), BN_CTX_new(3)

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