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Edit File : BN_RECP_CTX_init.3ssl \| Size : 6.68 KB
.\" Automatically generated by Pod::Man 4.11 (Pod::Simple 3.35) .\" .\" 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 .. .\" Set up some character translations and predefined strings. \(-- will .\" give an unbreakable dash, \(PI will give pi, \(L" will give a left .\" double quote, and \(R" will give a right double quote. \(C+ will .\" give a nicer C++. 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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_init, 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_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); .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 \fB\s-1BN_CTX\s0\fR used for temporary variables. .PP \&\fBBN_RECP_CTX_new()\fR allocates and initializes a \fB\s-1BN_RECP\s0\fR structure. \&\fBBN_RECP_CTX_init()\fR initializes an existing uninitialized \fB\s-1BN_RECP\s0\fR. .PP \&\fBBN_RECP_CTX_free()\fR frees the components of the \fB\s-1BN_RECP\s0\fR, and, if it was created by \fBBN_RECP_CTX_new()\fR, also the structure itself. .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 \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 .PP It cannot be shared between threads. .SH "RETURN VALUES" .IX Header "RETURN VALUES" \&\fBBN_RECP_CTX_new()\fR returns the newly allocated \fB\s-1BN_RECP_CTX\s0\fR, and \s-1NULL\s0 on error. .PP \&\fBBN_RECP_CTX_init()\fR and \fBBN_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 \fBERR_get_error\fR\\|(3). .SH "SEE ALSO" .IX Header "SEE ALSO" \&\fBbn\fR\\|(3), \fBERR_get_error\fR\\|(3), \fBBN_add\fR\\|(3), \&\fBBN_CTX_new\fR\\|(3) .SH "HISTORY" .IX Header "HISTORY" \&\fB\s-1BN_RECP_CTX\s0\fR was added in SSLeay 0.9.0. Before that, the function \&\fBBN_reciprocal()\fR was used instead, and the \fBBN_mod_mul_reciprocal()\fR arguments were different. Back

Edit File : BN_RECP_CTX_init.3ssl | Size : 6.68 KB

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.\" ========================================================================
.\"
.IX Title "BN_mod_mul_reciprocal 3"
.TH BN_mod_mul_reciprocal 3 "2019-12-20" "1.0.2u" "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_init,
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_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);
.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 \fB\s-1BN_CTX\s0\fR used for temporary variables.
.PP
\&\fBBN_RECP_CTX_new()\fR allocates and initializes a \fB\s-1BN_RECP\s0\fR structure.
\&\fBBN_RECP_CTX_init()\fR initializes an existing uninitialized \fB\s-1BN_RECP\s0\fR.
.PP
\&\fBBN_RECP_CTX_free()\fR frees the components of the \fB\s-1BN_RECP\s0\fR, and, if it
was created by \fBBN_RECP_CTX_new()\fR, also the structure itself.
.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 \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
.PP
It cannot be shared between threads.
.SH "RETURN VALUES"
.IX Header "RETURN VALUES"
\&\fBBN_RECP_CTX_new()\fR returns the newly allocated \fB\s-1BN_RECP_CTX\s0\fR, and \s-1NULL\s0
on error.
.PP
\&\fBBN_RECP_CTX_init()\fR and \fBBN_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 \fBERR_get_error\fR\|(3).
.SH "SEE ALSO"
.IX Header "SEE ALSO"
\&\fBbn\fR\|(3), \fBERR_get_error\fR\|(3), \fBBN_add\fR\|(3),
\&\fBBN_CTX_new\fR\|(3)
.SH "HISTORY"
.IX Header "HISTORY"
\&\fB\s-1BN_RECP_CTX\s0\fR was added in SSLeay 0.9.0. Before that, the function
\&\fBBN_reciprocal()\fR was used instead, and the \fBBN_mod_mul_reciprocal()\fR
arguments were different.

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