| 123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129 |
- .\" -*- mode: troff; coding: utf-8 -*-
- .\" Automatically generated by Pod::Man 5.01 (Pod::Simple 3.43)
- .\"
- .\" 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
- .\" ========================================================================
- .\"
- .IX Title "BN_MOD_MUL_RECIPROCAL 3ossl"
- .TH BN_MOD_MUL_RECIPROCAL 3ossl 2025-01-17 3.4.0 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>.
|