Manual:BN mod mul reciprocal(3)
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
#include <openssl/bn.h> BN_RECP_CTX *BN_RECP_CTX_new(void); 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);
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 cannot be shared between threads.
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).
void BN_RECP_CTX_init(BN_RECP_CTX *recp);
BN_RECP_CTX_init() is no longer available as of OpenSSL 1.1.0. It was used to initialize an existing uninitialized BN_RECP_CTX. Typically this would be done as follows:
BN_RECP_CTX ctx; BN_RECP_CTX_init(&ctx);
Applications should replace use of BN_RECP_CTX_init with BN_RECP_CTX_new instead:
BN_RECP_CTX *ctx; ctx = BN_RECP_CTX_new(); if(!ctx) /* Handle error */ ... BN_RECP_CTX_free(ctx);
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. BN_RECP_CTX_init was removed in OpenSSL 1.1.0