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+.\" Automatically generated by Pod::Man version 1.15
+.\" Thu May 9 13:16:37 2002
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+.\" ======================================================================
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+.IX Title "BN_MOD_MUL_RECIPROCAL 1"
+.TH BN_MOD_MUL_RECIPROCAL 1 "perl v5.6.1" "2000-11-13" "User Contributed Perl Documentation"
+.UC
+.SH "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
+.SH "SYNOPSIS"
+.IX Header "SYNOPSIS"
+.Vb 1
+\& #include <openssl/bn.h>
+.Ve
+.Vb 3
+\& 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);
+.Ve
+.Vb 1
+\& int BN_RECP_CTX_set(BN_RECP_CTX *recp, const BIGNUM *m, BN_CTX *ctx);
+.Ve
+.Vb 2
+\& int BN_div_recp(BIGNUM *dv, BIGNUM *rem, BIGNUM *a, BN_RECP_CTX *recp,
+\& BN_CTX *ctx);
+.Ve
+.Vb 2
+\& int BN_mod_mul_reciprocal(BIGNUM *r, BIGNUM *a, BIGNUM *b,
+\& BN_RECP_CTX *recp, BN_CTX *ctx);
+.Ve
+.SH "DESCRIPTION"
+.IX Header "DESCRIPTION"
+\&\fIBN_mod_mul_reciprocal()\fR 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 \fBr\fR=(\fBa\fR*\fBb\fR)%\fBm\fR
+using \fBrecp\fR=1/\fBm\fR, which is set as described below. \fBctx\fR is a
+previously allocated \fB\s-1BN_CTX\s0\fR used for temporary variables.
+.PP
+\&\fIBN_RECP_CTX_new()\fR allocates and initializes a \fB\s-1BN_RECP\s0\fR structure.
+\&\fIBN_RECP_CTX_init()\fR initializes an existing uninitialized \fB\s-1BN_RECP\s0\fR.
+.PP
+\&\fIBN_RECP_CTX_free()\fR frees the components of the \fB\s-1BN_RECP\s0\fR, and, if it
+was created by \fIBN_RECP_CTX_new()\fR, also the structure itself.
+.PP
+\&\fIBN_RECP_CTX_set()\fR stores \fBm\fR in \fBrecp\fR and sets it up for computing
+1/\fBm\fR and shifting it left by BN_num_bits(\fBm\fR)+1 to make it an
+integer. The result and the number of bits it was shifted left will
+later be stored in \fBrecp\fR.
+.PP
+\&\fIBN_div_recp()\fR divides \fBa\fR by \fBm\fR using \fBrecp\fR. It places the quotient
+in \fBdv\fR and the remainder in \fBrem\fR.
+.PP
+The \fB\s-1BN_RECP_CTX\s0\fR structure is defined as follows:
+.PP
+.Vb 8
+\& typedef struct bn_recp_ctx_st
+\& {
+\& BIGNUM N; /* the divisor */
+\& BIGNUM Nr; /* the reciprocal */
+\& int num_bits;
+\& int shift;
+\& int flags;
+\& } BN_RECP_CTX;
+.Ve
+It cannot be shared between threads.
+.SH "RETURN VALUES"
+.IX Header "RETURN VALUES"
+\&\fIBN_RECP_CTX_new()\fR returns the newly allocated \fB\s-1BN_RECP_CTX\s0\fR, and \s-1NULL\s0
+on error.
+.PP
+\&\fIBN_RECP_CTX_init()\fR and \fIBN_RECP_CTX_free()\fR have no return values.
+.PP
+For the other functions, 1 is returned for success, 0 on error.
+The error codes can be obtained by ERR_get_error(3).
+.SH "SEE ALSO"
+.IX Header "SEE ALSO"
+bn(3), err(3), BN_add(3),
+BN_CTX_new(3)
+.SH "HISTORY"
+.IX Header "HISTORY"
+\&\fB\s-1BN_RECP_CTX\s0\fR was added in SSLeay 0.9.0. Before that, the function
+\&\fIBN_reciprocal()\fR was used instead, and the \fIBN_mod_mul_reciprocal()\fR
+arguments were different.
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