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#=======================================================================
# ____ ____ _____ _ ____ ___ ____
# | _ \| _ \| ___| _ _ / \ | _ \_ _| |___ \
# | |_) | | | | |_ (_) (_) / _ \ | |_) | | __) |
# | __/| |_| | _| _ _ / ___ \| __/| | / __/
# |_| |____/|_| (_) (_) /_/ \_\_| |___| |_____|
#
# Copyright 1999-2001 Alfred Reibenschuh <areibens@cpan.org>.
#
# This library is free software; you can redistribute it
# and/or modify it under the same terms as Perl itself.
#
#=======================================================================
#
# PDF::API2::Matrix
# Original Copyright 1995-96 Ulrich Pfeifer.
# modified by Alfred Reibenschuh <areibens@cpan.org> for PDF::API2
#
# $Id: Matrix.pm,v 1.7 2004/12/16 00:30:51 fredo Exp $
#
#=======================================================================
package PDF::API2::Matrix;
use vars qw( $VERSION );
( $VERSION ) = '$Revision: 1.7 $' =~ /Revision: (\S+)\s/; # $Date: 2004/12/16 00:30:51 $
no warnings qw[ deprecated recursion uninitialized ];
sub new {
my $type = shift;
my $self = [];
my $len = scalar(@{$_[0]});
for (@_) {
return undef if scalar(@{$_}) != $len;
push(@{$self}, [@{$_}]);
}
bless $self, $type;
}
sub concat {
my $self = shift;
my $other = shift;
my $result = new PDF::API2::Matrix (@{$self});
return undef if scalar(@{$self}) != scalar(@{$other});
for my $i (0 .. $#{$self}) {
push @{$result->[$i]}, @{$other->[$i]};
}
$result;
}
sub transpose {
my $self = shift;
my @result;
my $m;
for my $col (@{$self->[0]}) {
push @result, [];
}
for my $row (@{$self}) {
$m=0;
for my $col (@{$row}) {
push(@{$result[$m++]}, $col);
}
}
new PDF::API2::Matrix (@result);
}
sub vekpro {
my($a, $b) = @_;
my $result=0;
for my $i (0 .. $#{$a}) {
$result += $a->[$i] * $b->[$i];
}
$result;
}
sub multiply {
my $self = shift;
my $other = shift->transpose;
my @result;
my $m;
return undef if $#{$self->[0]} != $#{$other->[0]};
for my $row (@{$self}) {
my $rescol = [];
for my $col (@{$other}) {
push(@{$rescol}, vekpro($row,$col));
}
push(@result, $rescol);
}
new PDF::API2::Matrix (@result);
}
sub solve {
my $m = new PDF::API2::Matrix (@{$_[0]});
my $mr = $#{$m};
my $mc = $#{$m->[0]};
my $f;
my $try;
my $k;
my $i;
my $j;
my $eps = 0.000001;
return undef if $mc <= $mr;
ROW: for($i = 0; $i <= $mr; $i++) {
$try=$i;
# make diagonal element nonzero if possible
while (abs($m->[$i]->[$i]) < $eps) {
last ROW if $try++ > $mr;
my $row = splice(@{$m},$i,1);
push(@{$m}, $row);
}
# normalize row
$f = $m->[$i]->[$i];
for($k = 0; $k <= $mc; $k++) {
$m->[$i]->[$k] /= $f;
}
# subtract multiple of designated row from other rows
for($j = 0; $j <= $mr; $j++) {
next if $i == $j;
$f = $m->[$j]->[$i];
for($k = 0; $k <= $mc; $k++) {
$m->[$j]->[$k] -= $m->[$i]->[$k] * $f;
}
}
}
# Answer is in augmented column
transpose new PDF::API2::Matrix @{$m->transpose}[$mr+1 .. $mc];
}
sub print {
my $self = shift;
print STDERR "Matrix: \n";
print @_ if scalar(@_);
for my $row (@{$self}) {
for my $col (@{$row}) {
printf STDERR "%10.5f ", $col;
}
print STDERR "\n";
}
}
1;
__END__
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