b97fdb57a2
Reviewed-by: Rich Salz <rsalz@openssl.org> (Merged from https://github.com/openssl/openssl/pull/1900)
90 lines
2.6 KiB
Text
90 lines
2.6 KiB
Text
=pod
|
|
|
|
=head1 NAME
|
|
|
|
BN_mod_mul_montgomery, BN_MONT_CTX_new,
|
|
BN_MONT_CTX_free, BN_MONT_CTX_set, BN_MONT_CTX_copy,
|
|
BN_from_montgomery, BN_to_montgomery - Montgomery multiplication
|
|
|
|
=head1 SYNOPSIS
|
|
|
|
#include <openssl/bn.h>
|
|
|
|
BN_MONT_CTX *BN_MONT_CTX_new(void);
|
|
void BN_MONT_CTX_free(BN_MONT_CTX *mont);
|
|
|
|
int BN_MONT_CTX_set(BN_MONT_CTX *mont, const BIGNUM *m, BN_CTX *ctx);
|
|
BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to, BN_MONT_CTX *from);
|
|
|
|
int BN_mod_mul_montgomery(BIGNUM *r, BIGNUM *a, BIGNUM *b,
|
|
BN_MONT_CTX *mont, BN_CTX *ctx);
|
|
|
|
int BN_from_montgomery(BIGNUM *r, BIGNUM *a, BN_MONT_CTX *mont,
|
|
BN_CTX *ctx);
|
|
|
|
int BN_to_montgomery(BIGNUM *r, BIGNUM *a, BN_MONT_CTX *mont,
|
|
BN_CTX *ctx);
|
|
|
|
=head1 DESCRIPTION
|
|
|
|
These functions implement Montgomery multiplication. They are used
|
|
automatically when L<BN_mod_exp(3)> is called with suitable input,
|
|
but they may be useful when several operations are to be performed
|
|
using the same modulus.
|
|
|
|
BN_MONT_CTX_new() allocates and initializes a B<BN_MONT_CTX> structure.
|
|
|
|
BN_MONT_CTX_set() sets up the I<mont> structure from the modulus I<m>
|
|
by precomputing its inverse and a value R.
|
|
|
|
BN_MONT_CTX_copy() copies the B<BN_MONT_CTX> I<from> to I<to>.
|
|
|
|
BN_MONT_CTX_free() frees the components of the B<BN_MONT_CTX>, and, if
|
|
it was created by BN_MONT_CTX_new(), also the structure itself.
|
|
If B<mont> is NULL, nothing is done.
|
|
|
|
BN_mod_mul_montgomery() computes Mont(I<a>,I<b>):=I<a>*I<b>*R^-1 and places
|
|
the result in I<r>.
|
|
|
|
BN_from_montgomery() performs the Montgomery reduction I<r> = I<a>*R^-1.
|
|
|
|
BN_to_montgomery() computes Mont(I<a>,R^2), i.e. I<a>*R.
|
|
Note that I<a> must be non-negative and smaller than the modulus.
|
|
|
|
For all functions, I<ctx> is a previously allocated B<BN_CTX> used for
|
|
temporary variables.
|
|
|
|
=head1 RETURN VALUES
|
|
|
|
BN_MONT_CTX_new() returns the newly allocated B<BN_MONT_CTX>, and NULL
|
|
on error.
|
|
|
|
BN_MONT_CTX_free() has no return value.
|
|
|
|
For the other functions, 1 is returned for success, 0 on error.
|
|
The error codes can be obtained by L<ERR_get_error(3)>.
|
|
|
|
=head1 WARNING
|
|
|
|
The inputs must be reduced modulo B<m>, otherwise the result will be
|
|
outside the expected range.
|
|
|
|
=head1 SEE ALSO
|
|
|
|
L<bn(7)>, L<ERR_get_error(3)>, L<BN_add(3)>,
|
|
L<BN_CTX_new(3)>
|
|
|
|
=head1 HISTORY
|
|
|
|
BN_MONT_CTX_init() was removed in OpenSSL 1.1.0
|
|
|
|
=head1 COPYRIGHT
|
|
|
|
Copyright 2000-2016 The OpenSSL Project Authors. All Rights Reserved.
|
|
|
|
Licensed under the OpenSSL license (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
|
|
L<https://www.openssl.org/source/license.html>.
|
|
|
|
=cut
|