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#
# GENERATED WITH PDL::PP! Don't modify!
#
package PDL::CCS::MatrixOps;
our @EXPORT_OK = qw(ccs_matmult2d_sdd ccs_matmult2d_zdd ccs_vnorm ccs_vcos_zdd _ccs_vcos_zdd ccs_vcos_pzd );
our %EXPORT_TAGS = (Func=>\@EXPORT_OK);
use PDL::Core;
use PDL::Exporter;
use DynaLoader;
our $VERSION = '1.24.1';
our @ISA = ( 'PDL::Exporter','DynaLoader' );
push @PDL::Core::PP, __PACKAGE__;
bootstrap PDL::CCS::MatrixOps $VERSION;
#line 20 "ccsmatops.pd"
#use PDL::CCS::Version;
use strict;
=pod
=head1 NAME
PDL::CCS::MatrixOps - Low-level matrix operations for compressed storage sparse PDLs
=head1 SYNOPSIS
use PDL;
use PDL::CCS::MatrixOps;
##---------------------------------------------------------------------
## ... stuff happens
=cut
#line 46 "MatrixOps.pm"
=head1 FUNCTIONS
=cut
#line 60 "ccsmatops.pd"
*ccs_indx = \&PDL::indx; ##-- typecasting for CCS indices (deprecated)
#line 63 "MatrixOps.pm"
#line 949 "/usr/lib/x86_64-linux-gnu/perl5/5.36/PDL/PP.pm"
=head2 ccs_matmult2d_sdd
=for sig
Signature: (
indx ixa(Two=2,NnzA); nza(NnzA); missinga();
b(O,M);
zc(O);
[o]c(O,N)
; PDL_Indx sizeN)
Two-dimensional matrix multiplication of a sparse index-encoded PDL
$a() with a dense pdl $b(), with output to a dense pdl $c().
The sparse input PDL $a() should be passed here with 0th
dimension "M" and 1st dimension "N", just as for the
built-in PDL::Primitive::matmult().
"Missing" values in $a() are treated as $missinga(), which shouldn't
be BAD or infinite, but otherwise ought to be handled correctly.
The input pdl $zc() is used to pass the cached contribution of
a $missinga()-row ("M") to an output column ("O"), i.e.
$zc = ((zeroes($M,1)+$missinga) x $b)->flat;
$SIZE(Two) must be 2.
=for bad
ccs_matmult2d_sdd processes bad values.
It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays.
=cut
#line 107 "MatrixOps.pm"
#line 951 "/usr/lib/x86_64-linux-gnu/perl5/5.36/PDL/PP.pm"
*ccs_matmult2d_sdd = \&PDL::ccs_matmult2d_sdd;
#line 114 "MatrixOps.pm"
#line 949 "/usr/lib/x86_64-linux-gnu/perl5/5.36/PDL/PP.pm"
=head2 ccs_matmult2d_zdd
=for sig
Signature: (
indx ixa(Two=2,NnzA); nza(NnzA);
b(O,M);
[o]c(O,N)
; PDL_Indx sizeN)
Two-dimensional matrix multiplication of a sparse index-encoded PDL
$a() with a dense pdl $b(), with output to a dense pdl $c().
The sparse input PDL $a() should be passed here with 0th
dimension "M" and 1st dimension "N", just as for the
built-in PDL::Primitive::matmult().
"Missing" values in $a() are treated as zero.
$SIZE(Two) must be 2.
=for bad
ccs_matmult2d_zdd processes bad values.
It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays.
=cut
#line 151 "MatrixOps.pm"
#line 951 "/usr/lib/x86_64-linux-gnu/perl5/5.36/PDL/PP.pm"
*ccs_matmult2d_zdd = \&PDL::ccs_matmult2d_zdd;
#line 158 "MatrixOps.pm"
#line 949 "/usr/lib/x86_64-linux-gnu/perl5/5.36/PDL/PP.pm"
=head2 ccs_vnorm
=for sig
Signature: (
indx acols(NnzA); avals(NnzA);
float+ [o]vnorm(M);
; PDL_Indx sizeM=>M)
Computes the Euclidean lengths of each column-vector $a(i,*) of a sparse index-encoded pdl $a()
of logical dimensions (M,N), with output to a dense piddle $vnorm().
"Missing" values in $a() are treated as zero,
and $acols() specifies the (unsorted) indices along the logical dimension M of the corresponding non-missing
values in $avals().
This is basically the same thing as:
$vnorm = ($a**2)->xchg(0,1)->sumover->sqrt;
... but should be must faster to compute for sparse index-encoded piddles.
=for bad
ccs_vnorm() always clears the bad-status flag on $vnorm().
=cut
#line 193 "MatrixOps.pm"
#line 951 "/usr/lib/x86_64-linux-gnu/perl5/5.36/PDL/PP.pm"
*ccs_vnorm = \&PDL::ccs_vnorm;
#line 200 "MatrixOps.pm"
#line 269 "ccsmatops.pd"
=pod
=head2 ccs_vcos_zdd
=for sig
Signature: (
indx ixa(2,NnzA); nza(NnzA);
b(N);
float+ [o]vcos(M);
float+ [t]anorm(M);
PDL_Indx sizeM=>M;
)
Computes the vector cosine similarity of a dense row-vector $b(N) with respect to each column $a(i,*)
of a sparse index-encoded PDL $a() of logical dimensions (M,N), with output to a dense piddle
$vcos(M).
"Missing" values in $a() are treated as zero,
and magnitudes for $a() are passed in the optional parameter $anorm(), which will be implicitly
computed using L<ccs_vnorm|/ccs_vnorm> if the $anorm() parameter is omitted or empty.
This is basically the same thing as:
$anorm //= ($a**2)->xchg(0,1)->sumover->sqrt;
$vcos = ($a * $b->slice("*1,"))->xchg(0,1)->sumover / ($anorm * ($b**2)->sumover->sqrt);
... but should be must faster to compute.
Output values in $vcos() are cosine similarities in the range [-1,1],
except for zero-magnitude vectors which will result in NaN values in $vcos().
If you need non-negative distances, follow this up with a:
$vcos->minus(1,$vcos,1)
$vcos->inplace->setnantobad->inplace->setbadtoval(0); ##-- minimum distance for NaN values
to get distances values in the range [0,2]. You can use PDL threading to batch-compute distances for
multiple $b() vectors simultaneously:
$bx = random($N, $NB); ##-- get $NB random vectors of size $N
$vcos = ccs_vcos_zdd($ixa,$nza, $bx, $M); ##-- $vcos is now ($M,$NB)
=for bad
ccs_vcos_zdd() always clears the bad status flag on the output piddle $vcos.
=cut
sub ccs_vcos_zdd {
my ($ixa,$nza,$b) = @_;
barf("Usage: ccs_vcos_zdd(ixa, nza, b, vcos?, anorm?, M?)") if (grep {!defined($_)} ($ixa,$nza,$b));
my ($anorm,$vcos,$M);
foreach (@_[3..$#_]) {
if (!defined($M) && !UNIVERSAL::isa($_,"PDL")) { $M=$_; }
elsif (!defined($vcos)) { $vcos = $_; } ##-- compat: pass $vcos() in first
elsif (!defined($anorm)) { $anorm = $_; }
}
##-- get M
$M = $vcos->dim(0) if (!defined($M) && defined($vcos) && !$vcos->isempty);
$M = $anorm->dim(0) if (!defined($M) && defined($anorm) && !$anorm->isempty);
$M = $ixa->slice("(0),")->max+1 if (!defined($M));
##-- compat: implicitly compute anorm() if required
$anorm = $ixa->slice("(0),")->ccs_vnorm($nza, $M) if (!defined($anorm) || $anorm->isempty);
##-- guts
$ixa->_ccs_vcos_zdd($nza,$b, $anorm, ($vcos//=PDL->null));
return $vcos;
}
*PDL::ccs_vcos_zdd = \&ccs_vcos_zdd;
#line 280 "MatrixOps.pm"
#line 949 "/usr/lib/x86_64-linux-gnu/perl5/5.36/PDL/PP.pm"
=head2 _ccs_vcos_zdd
=for sig
Signature: (
indx ixa(Two=2,NnzA); nza(NnzA);
b(N);
float+ anorm(M);
float+ [o]vcos(M);)
=for ref
Guts for L<ccs_vcos_zdd()|/ccs_vcos_zdd>, with slightly different calling conventions.
=for bad
Always clears the bad status flag on the output piddle $vcos.
=cut
#line 307 "MatrixOps.pm"
#line 951 "/usr/lib/x86_64-linux-gnu/perl5/5.36/PDL/PP.pm"
*_ccs_vcos_zdd = \&PDL::_ccs_vcos_zdd;
#line 314 "MatrixOps.pm"
#line 949 "/usr/lib/x86_64-linux-gnu/perl5/5.36/PDL/PP.pm"
=head2 ccs_vcos_pzd
=for sig
Signature: (
indx aptr(Nplus1); indx acols(NnzA); avals(NnzA);
indx brows(NnzB); bvals(NnzB);
anorm(M);
float+ [o]vcos(M);)
Computes the vector cosine similarity of a sparse index-encoded row-vector $b() of logical dimension (N)
with respect to each column $a(i,*) a sparse Harwell-Boeing row-encoded PDL $a() of logical dimensions (M,N),
with output to a dense piddle $vcos(M).
"Missing" values in $a() are treated as zero,
and magnitudes for $a() are passed in the obligatory parameter $anorm().
Usually much faster than L<ccs_vcos_zdd()|/ccs_vcos_zdd> if a CRS pointer over logical dimension (N) is available
for $a().
=for bad
ccs_vcos_pzd() always clears the bad status flag on the output piddle $vcos.
=cut
#line 347 "MatrixOps.pm"
#line 951 "/usr/lib/x86_64-linux-gnu/perl5/5.36/PDL/PP.pm"
*ccs_vcos_pzd = \&PDL::ccs_vcos_pzd;
#line 354 "MatrixOps.pm"
#line 486 "ccsmatops.pd"
##---------------------------------------------------------------------
=pod
=head1 ACKNOWLEDGEMENTS
Perl by Larry Wall.
PDL by Karl Glazebrook, Tuomas J. Lukka, Christian Soeller, and others.
=cut
##----------------------------------------------------------------------
=pod
=head1 KNOWN BUGS
We should really implement matrix multiplication in terms of
inner product, and have a good sparse-matrix only implementation
of the former.
=cut
##---------------------------------------------------------------------
=pod
=head1 AUTHOR
Bryan Jurish E<lt>moocow@cpan.orgE<gt>
=head2 Copyright Policy
All other parts Copyright (C) 2009-2024, Bryan Jurish. All rights reserved.
This package is free software, and entirely without warranty.
You may redistribute it and/or modify it under the same terms
as Perl itself.
=head1 SEE ALSO
perl(1), PDL(3perl)
=cut
#line 404 "MatrixOps.pm"
# Exit with OK status
1;
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