OpenSSL BN_mod_mul_reciprocal(3openssl)
NNNNAAAAMMMMEEEEBN_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 SSSSYYYYNNNNOOOOPPPPSSSSIIIISSSS#include
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);
DDDDEEEESSSSCCCCRRRRIIIIPPPPTTTTIIIIOOOONNNNBN_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 rrrr=(aaaa*bbbb)%mmmm
using rrrreeeeccccpppp=1/mmmm, which is set as described below. ccccttttxxxx is apreviously allocated BBBBNNNN_CCCCTTTTXXXX used for temporary variables.
BN_RECP_CTX_new() allocates and initializes a BBBBNNNN_RRRREEEECCCCPPPP
structure. BN_RECP_CTX_init() initializes an existing
uninitialized BBBBNNNN_RRRREEEECCCCPPPP.
BN_RECP_CTX_free() frees the components of the BBBBNNNN_RRRREEEECCCCPPPP, and,
if it was created by BN_RECP_CTX_new(), also the structure
itself.BN_RECP_CTX_set() stores mmmm in rrrreeeeccccpppp and sets it up for
computing 1/mmmm and shifting it left by BN_num_bits(mmmm)+1 to
make it an integer. The result and the number of bits it was shifted left will later be stored in rrrreeeeccccpppp.BN_div_recp() divides aaaa by mmmm using rrrreeeeccccpppp. It places the
quotient in ddddvvvv and the remainder in rrrreeeemmmm.The BBBBNNNN_RRRREEEECCCCPPPP_CCCCTTTTXXXX structure is defined as follows:
25/Sep/2002 Last change: 0.9.8o 1
OpenSSL BN_mod_mul_reciprocal(3openssl)
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. RRRREEEETTTTUUUURRRRNNNN VVVVAAAALLLLUUUUEEEESSSSBN_RECP_CTX_new() returns the newly allocated BBBBNNNN_RRRREEEECCCCPPPP_CCCCTTTTXXXX,
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 onerror. The error codes can be obtained by ERR_get_error(3).
SSSSEEEEEEEE AAAALLLLSSSSOOOObn(3), ERR_get_error(3), BN_add(3), BN_CTX_new(3)
HHHHIIIISSSSTTTTOOOORRRRYYYYBBBBNNNN_RRRREEEECCCCPPPP_CCCCTTTTXXXX 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.
25/Sep/2002 Last change: 0.9.8o 2