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Manual Pages for UNIX Operating System command usage for man BN_RECP_CTX_init

OpenSSL BN_mod_mul_reciprocal(3openssl)

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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 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);

DDDDEEEESSSSCCCCRRRRIIIIPPPPTTTTIIIIOOOONNNN

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 rrrr=(aaaa*bbbb)%mmmm

using rrrreeeeccccpppp=1/mmmm, which is set as described below. ccccttttxxxx is a

previously 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 VVVVAAAALLLLUUUUEEEESSSS

BN_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 on

error. The error codes can be obtained by ERR_get_error(3).

SSSSEEEEEEEE AAAALLLLSSSSOOOO

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

HHHHIIIISSSSTTTTOOOORRRRYYYY

BBBBNNNN_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




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