File Coverage

blib/lib/Math/Cephes/Matrix.pm

Criterion	Covered	Total	%
statement	139	147	94.5
branch	19	34	55.8
condition	7	11	63.6
subroutine	17	18	94.4
pod	1	15	6.6
total	183	225	81.3

package Math::Cephes::Matrix;
use strict;
use warnings;
use vars qw(@EXPORT_OK $VERSION);

require Exporter;
*import = \&Exporter::import;
@EXPORT_OK = qw(mat);

$VERSION = '0.5304';

require Math::Cephes;

sub new {
  my ($caller, $arr) = @_;
  my $refer = ref($caller);
  my $class = $refer || $caller;
  die "Must supply data for the matrix"
    unless ($refer or $arr);
  unless ($refer) {
    die "Please supply an array of arrays for the matrix data"
      unless (ref($arr) eq 'ARRAY' and ref($arr->[0]) eq 'ARRAY');
    my $n = scalar @$arr;
    my $m = scalar @{$arr->[0]};
    die "Matrices must be square" unless $m == $n;
  }
  my ($coef, $n);
  if ($refer) {
    $n = $caller->{n};
    my $cdata = $caller->{coef};
    foreach (@$cdata) {
      push @$coef, [ @$_];
    }
  }
  else {
    ($coef, $n) = ($arr, scalar @$arr);
  }
  bless { coef => $coef,
	  n => $n,
	}, $class;
}

sub mat {
  return Math::Cephes::Matrix->new(shift);
}

sub mat_to_vec {
  my $self = shift;
  my ($M, $n) = ($self->{coef}, $self->{n});
  my $A = [];
  for (my $i=0; $i<$n; $i++) {
    for (my $j=0; $j<$n; $j++) {
      my $index = $i*$n+$j;
      $A->[$index] = $M->[$i]->[$j];
    }
  }
  return $A;
}

sub vec_to_mat {
  my ($self, $X) = @_;
  my $n = $self->{n};
  my $I = [];
  for (my $i=0; $i<$n; $i++) {
    for (my $j=0; $j<$n; $j++) {
      my $index = $i*$n+$j;
      $I->[$i]->[$j] = $X->[$index];
    }
  }
  return $I;
}

sub check {
  my ($self, $B) = @_;
  my $na = $self->{n};
  my $ref = ref($B);
  if ($ref eq 'Math::Cephes::Matrix') {
    die "Matrices must be of the same size"
      unless $B->{n} == $na;
    return $B->coef;
  }
  elsif ($ref eq 'ARRAY') {
    my $nb = scalar @$B;
    my $ref0 = ref($B->[0]);
    if ($ref0 eq 'ARRAY') {
      my $m = scalar @{$B->[0]};
      die "Can only use square matrices" unless $m == $nb;
      die "Can only use matrices of the same size"
	unless $na == $nb;
      return $B;
    }
    elsif (not $ref0) {
      die "Can only use vectors of the same size" unless $nb == $na;
      return $B;
    }
    else {
      die "Unknown reference '$ref0' for data";
    }
  }
  else {
    die "Unknown reference '$ref' for data";
  }
}

sub coef {
  return $_[0]->{coef};
}

sub clr {
  my $self = shift;
  my $what = shift || 0;
  my $n = $self->{n};
  my $B = [];
  for (my $i=0; $i<$n; $i++) {
    for (my $j=0; $j<$n; $j++) {
      $B->[$i]->[$j] = $what;
    }
  }
  $self->{coef} = $B;
}

sub simq {
  my ($self, $B) = @_;
  $B = $self->check($B);
  my ($M, $n) = ($self->{coef}, $self->{n});
  die "Must supply an array reference for B" unless ref($B) eq 'ARRAY';
  my $A = $self->mat_to_vec();
  my $X = [split //, 0 x $n];
  my $IPS = [split //, 0 x $n];
  my $flag = 0;
  my $ret = Math::Cephes::simq($A, $B, $X, $n, $flag, $IPS);
  return $ret ? undef : $X;
}


sub inv {
  my $self = shift;
  my ($M, $n) = ($self->{coef}, $self->{n});
  my $A = $self->mat_to_vec();
  my $X = [split //, 0 x ($n*$n)];
  my $B = [split //, 0 x $n];
  my $IPS = [split //, 0 x $n];
  my $flag = 0;
  my $ret = Math::Cephes::minv($A, $X, $n, $B, $IPS);
  return undef if $ret;
  my $I = $self->vec_to_mat($X);
  return Math::Cephes::Matrix->new($I);
}

sub transp {
  my $self = shift;
  my ($M, $n) = ($self->{coef}, $self->{n});
  my $A = $self->mat_to_vec();
  my $T = [split //, 0 x ($n*$n)];
  Math::Cephes::mtransp($n, $A, $T);
  my $R = $self->vec_to_mat($T);
  return Math::Cephes::Matrix->new($R);
}

sub add {
  my ($self, $B) = @_;
  $B = $self->check($B);
  my ($A, $n) = ($self->{coef}, $self->{n});
  my $C = [];
  for (my $i=0; $i<$n; $i++) {
    for (my $j=0; $j<$n; $j++) {
      $C->[$i]->[$j] = $A->[$i]->[$j] + $B->[$i]->[$j];
    }
  }
  return Math::Cephes::Matrix->new($C);
}

sub sub {
  my ($self, $B) = @_;
  $B = $self->check($B);
  my ($A, $n) = ($self->{coef}, $self->{n});
  my $C = [];
  for (my $i=0; $i<$n; $i++) {
    for (my $j=0; $j<$n; $j++) {
      $C->[$i]->[$j] = $A->[$i]->[$j] - $B->[$i]->[$j];
    }
  }
  return Math::Cephes::Matrix->new($C);
}

sub mul {
  my ($self, $B) = @_;
  $B = $self->check($B);
  my ($A, $n) = ($self->{coef}, $self->{n});
  my $C = [];
  if (ref($B->[0]) eq 'ARRAY') {
    for (my $i=0; $i<$n; $i++) {
      for (my $j=0; $j<$n; $j++) {
	for (my $m=0; $m<$n; $m++) {
	  $C->[$i]->[$j] += $A->[$i]->[$m] * $B->[$m]->[$j];
	}
      }
    }
    return Math::Cephes::Matrix->new($C);
  }
  else {
    for (my $i=0; $i<$n; $i++) {
      for (my $m=0; $m<$n; $m++) {
	$C->[$i] += $A->[$i]->[$m] * $B->[$m];
      }
    }
    return $C;
  }
}

sub div {
  my ($self, $B) = @_;
  $B = $self->check($B);
  my $C = Math::Cephes::Matrix->new($B)->inv();
  my $D = $self->mul($C);
  return $D;
}

sub eigens {
  my $self = shift;
  my ($M, $n) = ($self->{coef}, $self->{n});
  my $A = [];
  for (my $i=0; $i<$n; $i++) {
    for (my $j=0; $j<$n; $j++) {
      my $index = ($i*$i+$i)/2 + $j;
      $A->[$index] = $M->[$i]->[$j];
    }
  }
  my $EV1 = [split //, 0 x ($n*$n)];
  my $E = [split //, 0 x $n];
  my $IPS = [split //, 0 x $n];
  Math::Cephes::eigens($A, $EV1, $E, $n);
  my $EV = $self->vec_to_mat($EV1);
  return ($E, Math::Cephes::Matrix->new($EV));
}

1;

__END__