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BN_mod_mul_reciprocal(3)     OpenSSL     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 - mod-
       ular multiplication using reciprocal


        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);

       BN_mod_mul_reciprocal() can be used to perform an effi-
       cient 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

       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 com-
       puting 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.

       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

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

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

       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.

0.9.7c                      2002-09-25   BN_mod_mul_reciprocal(3)

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