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+.\" -*- mode: troff; coding: utf-8 -*-
+.\" Automatically generated by Pod::Man v6.0.2 (Pod::Simple 3.45)
+.\"
+.\" Standard preamble:
+.\" ========================================================================
+.de Sp \" Vertical space (when we can't use .PP)
+.if t .sp .5v
+.if n .sp
+..
+.de Vb \" Begin verbatim text
+.ft CW
+.nf
+.ne \\$1
+..
+.de Ve \" End verbatim text
+.ft R
+.fi
+..
+.\" \*(C` and \*(C' are quotes in nroff, nothing in troff, for use with C<>.
+.ie n \{\
+. ds C` ""
+. ds C' ""
+'br\}
+.el\{\
+. ds C`
+. ds C'
+'br\}
+.\"
+.\" Escape single quotes in literal strings from groff's Unicode transform.
+.ie \n(.g .ds Aq \(aq
+.el .ds Aq '
+.\"
+.\" If the F register is >0, we'll generate index entries on stderr for
+.\" titles (.TH), headers (.SH), subsections (.SS), items (.Ip), and index
+.\" entries marked with X<> in POD. Of course, you'll have to process the
+.\" output yourself in some meaningful fashion.
+.\"
+.\" Avoid warning from groff about undefined register 'F'.
+.de IX
+..
+.nr rF 0
+.if \n(.g .if rF .nr rF 1
+.if (\n(rF:(\n(.g==0)) \{\
+. if \nF \{\
+. de IX
+. tm Index:\\$1\t\\n%\t"\\$2"
+..
+. if !\nF==2 \{\
+. nr % 0
+. nr F 2
+. \}
+. \}
+.\}
+.rr rF
+.\"
+.\" Required to disable full justification in groff 1.23.0.
+.if n .ds AD l
+.\" ========================================================================
+.\"
+.IX Title "BN_MOD_MUL_RECIPROCAL 3ossl"
+.TH BN_MOD_MUL_RECIPROCAL 3ossl 2026-04-07 3.5.6 OpenSSL
+.\" For nroff, turn off justification. Always turn off hyphenation; it makes
+.\" way too many mistakes in technical documents.
+.if n .ad l
+.nh
+.SH NAME
+BN_mod_mul_reciprocal, BN_div_recp, BN_RECP_CTX_new,
+BN_RECP_CTX_free, BN_RECP_CTX_set \- modular multiplication using
+reciprocal
+.SH SYNOPSIS
+.IX Header "SYNOPSIS"
+.Vb 1
+\& #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, const BIGNUM *a, BN_RECP_CTX *recp,
+\& BN_CTX *ctx);
+\&
+\& int BN_mod_mul_reciprocal(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
+\& BN_RECP_CTX *recp, BN_CTX *ctx);
+.Ve
+.SH DESCRIPTION
+.IX Header "DESCRIPTION"
+\&\fBBN_mod_mul_reciprocal()\fR can be used to perform an efficient
+\&\fBBN_mod_mul\fR\|(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 \fBBN_CTX\fR used for temporary variables.
+.PP
+\&\fBBN_RECP_CTX_new()\fR allocates and initializes a \fBBN_RECP\fR structure.
+.PP
+\&\fBBN_RECP_CTX_free()\fR frees the components of the \fBBN_RECP\fR, and, if it
+was created by \fBBN_RECP_CTX_new()\fR, also the structure itself.
+If \fBrecp\fR is NULL, nothing is done.
+.PP
+\&\fBBN_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
+\&\fBBN_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 \fBBN_RECP_CTX\fR structure cannot be shared between threads.
+.SH "RETURN VALUES"
+.IX Header "RETURN VALUES"
+\&\fBBN_RECP_CTX_new()\fR returns the newly allocated \fBBN_RECP_CTX\fR, and NULL
+on error.
+.PP
+\&\fBBN_RECP_CTX_free()\fR has no return value.
+.PP
+For the other functions, 1 is returned for success, 0 on error.
+The error codes can be obtained by \fBERR_get_error\fR\|(3).
+.SH "SEE ALSO"
+.IX Header "SEE ALSO"
+\&\fBERR_get_error\fR\|(3), \fBBN_add\fR\|(3),
+\&\fBBN_CTX_new\fR\|(3)
+.SH HISTORY
+.IX Header "HISTORY"
+\&\fBBN_RECP_CTX_init()\fR was removed in OpenSSL 1.1.0
+.SH COPYRIGHT
+.IX Header "COPYRIGHT"
+Copyright 2000\-2017 The OpenSSL Project Authors. All Rights Reserved.
+.PP
+Licensed under the Apache License 2.0 (the "License"). You may not use
+this file except in compliance with the License. You can obtain a copy
+in the file LICENSE in the source distribution or at
+<https://www.openssl.org/source/license.html>.