=head1 NAME PDL::Graphics::TriD::Contours - 3D Surface contours for TriD =head1 SYNOPSIS =for usage # A simple contour plot in black and white use PDL::Graphics::TriD; use PDL::Graphics::TriD::Contours; $size = 25; $x = (xvals zeroes $size,$size) / $size; $y = (yvals zeroes $size,$size) / $size; $z = (sin($x*6.3) * sin($y*6.3)) ** 3; $data=new PDL::Graphics::TriD::Contours($z, [$z->xvals/$size,$z->yvals/$size,0]); PDL::Graphics::TriD::graph_object($data) =cut package PDL::Graphics::TriD::Contours; use strict; use PDL; use PDL::Graphics::TriD; use PDL::Graphics::TriD::Rout; use PDL::Graphics::TriD::Labels; #use Data::Dumper; use base qw/PDL::Graphics::TriD::GObject/; use fields qw/ContourSegCnt Labels LabelStrings/; =head1 FUNCTIONS =head2 new() =for ref Define a new contour plot for TriD. =for example $data=new PDL::Graphics::TriD::Contours($d,[$x,$y,$z],[$r,$g,$b],$options); where $d is a 2D pdl of data to be contoured. [$x,$y,$z] define a 3D map of $d into the visualization space [$r,$g,$b] is an optional [3,1] piddle specifing the contour color and $options is a hash reference to a list of options documented below. Contours can also be colored by value using the set_color_table function. =for opt ContourInt => 0.7 # explicitly set a contour interval ContourMin => 0.0 # explicitly set a contour minimum ContourMax => 10.0 # explicitly set a contour maximum ContourVals => $pdl # explicitly set all contour values Label => [1,5,$myfont] # see addlabels below Font => $font # explicitly set the font for contour labels If ContourVals is specified ContourInt, ContourMin, and ContourMax are ignored. If no options are specified, the algorthym tries to choose values based on the data supplied. Font can also be specified or overwritten by the addlabels() function below. =cut sub new{ my($type,$data,$points,$colors,$options) = @_; if(! defined $points){ $points = [$data->xvals,$data->yvals,$data->zvals]; } if(ref($colors) eq "HASH"){ $options=$colors ; undef $colors; } $colors = PDL::Graphics::TriD::realcoords("COLOR",pdl[1,1,1]) unless defined $colors; my $this = $type->SUPER::new($points,$colors,$options); my $grid = $this->{Points}; $this->{ContourSegCnt} = []; my @lines; my($xmin,$dx,$ymin,$dy); my @dims = $data->dims(); my $d0 = $dims[0]-1; my $d1 = $dims[1]-1; my ($min,$max) = $data->minmax(); my $fac=1; unless(defined $this->{Options}{ContourMin}){ while($fac*($max-$min)<10){ $fac*=10; } if(int($fac*$min) == $fac*$min){ $this->{Options}{ContourMin} = $min; }else{ $this->{Options}{ContourMin} = int($fac*$min+1)/$fac; print "ContourMin = ",$this->{Options}{ContourMin},"\n" if($PDL::Graphics::TriD::verbose); } } unless(defined $this->{Options}{ContourMax} && $this->{Options}{ContourMax} > $this->{Options}{ContourMin} ){ if(defined $this->{Options}{ContourInt}){ $this->{Options}{ContourMax} = $this->{Options}{ContourMin}; while($this->{Options}{ContourMax}+$this->{Options}{ContourInt} < $max){ $this->{Options}{ContourMax}= $this->{Options}{ContourMax}+$this->{Options}{ContourInt}; } }else{ if(int($fac*$max) == $fac*$max){ $this->{Options}{ContourMax} = $max; }else{ $this->{Options}{ContourMax} = (int($fac*$max)-1)/$fac; print "ContourMax = ",$this->{Options}{ContourMax},"\n" if($PDL::Graphics::TriD::verbose); } } } unless(defined $this->{Options}{ContourInt} && $this->{Options}{ContourInt}>0){ $this->{Options}{ContourInt} = int($fac*($this->{Options}{ContourMax}-$this->{Options}{ContourMin}))/(10*$fac); print "ContourInt = ",$this->{Options}{ContourInt},"\n" if($PDL::Graphics::TriD::verbose); } # # The user could also name cvals # my $cvals; if( !defined($this->{Options}{ContourVals}) || $this->{Options}{ContourVals}->isempty){ $cvals=zeroes(int(($this->{Options}{ContourMax}-$this->{Options}{ContourMin})/$this->{Options}{ContourInt}+1)); $cvals = $cvals->xlinvals($this->{Options}{ContourMin},$this->{Options}{ContourMax}); }else{ $cvals = $this->{Options}{ContourVals}; $this->{Options}{ContourMax}=$cvals->max; $this->{Options}{ContourMin}=$cvals->min; } $this->{Options}{ContourVals} = $cvals; print "Cvals = $cvals\n" if($PDL::Graphics::TriD::verbose); $this->contour_segments($cvals,$data,$grid); $this->addlabels($this->{Options}{Labels}) if(defined $this->{Options}{Labels}); return $this; } sub get_valid_options{ return{ ContourInt => undef, ContourMin => undef, ContourMax=> undef, ContourVals=> pdl->null, UseDefcols=>1, Labels=> undef, Font=>$PDL::Graphics::TriD::GL::fontbase} } =head2 addlabels() =for ref Add labels to a contour plot =for usage $contour->addlabels($labelint,$segint,$font); $labelint is the integer interval between labeled contours. If you have 8 countour levels and specify $labelint=3 addlabels will attempt to label the 1st, 4th, and 7th contours. $labelint defaults to 1. $segint specifies the density of labels on a single contour level. Each contour level consists of a number of connected line segments, $segint defines how many of these segments get labels. $segint defaults to 5, that is every fifth line segment will be labeled. =cut sub addlabels{ my ($self,$labelint, $segint ,$font) = @_; $labelint = 1 unless(defined $labelint); $font = $self->{Options}{Font} unless(defined $font); $segint = 5 unless(defined $segint); my $cnt=0; my $strlist; my $lp=pdl->null; my $pcnt = 0; my $cnt; my $offset = pdl[0.5,0.5,0.5]; for(my $i=0; $i<= $#{$self->{ContourSegCnt}}; $i++){ next unless defined $self->{ContourSegCnt}[$i]; $cnt = $self->{ContourSegCnt}[$i]; my $val = $self->{Options}{ContourVals}->slice("($i)"); my $leg = $self->{Points}->slice(":,$pcnt:$cnt"); $pcnt=$cnt+1; next if($i % $labelint); for(my $j=0; $j< $leg->getdim(1); $j+=2){ next if(($j/2) % $segint); my $j1=$j+1; my $lp2 = $leg->slice(":,($j)") + $offset*($leg->slice(":,($j1)") - $leg->slice(":,($j)")); $lp = $lp->append($lp2); # need a label string for each point push(@$strlist,$val); } } if($lp->nelem>0){ $self->{Points} = $self->{Points}->xchg(0,1) ->append($lp->reshape(3,$lp->nelem/3)->xchg(0,1))->xchg(0,1); $self->{Labels} = [$cnt+1,$cnt+$lp->nelem/3]; $self->{LabelStrings} = $strlist; $self->{Options}{Font}=$font; } } =head2 set_colortable($table) =for ref Sets contour level colors based on the color table. =for usage $table is passed in as either a piddle of [3,n] colors, where n is the number of contour levels, or as a reference to a function which expects the number of contour levels as an argument and returns a [3,n] piddle. It should be straight forward to use the L tables in a function which subsets the 256 colors supplied by the look up table into the number of colors needed by Contours. =cut sub set_colortable{ my($self,$table) = @_; my $colors; if(ref($table) eq "CODE"){ my $min = $self->{Options}{ContourMin}; my $max = $self->{Options}{ContourMax}; my $int = $self->{Options}{ContourInt}; my $ncolors=($max-$min)/$int+1; $colors= &$table($ncolors); }else{ $colors = $table; } if($colors->getdim(0)!=3){ $colors->reshape(3,$colors->nelem/3); } print "Color info ",$self->{Colors}->info," ",$colors->info,"\n" if($PDL::Graphics::TriD::verbose); $self->{Colors} = $colors; } =head2 coldhot_colortable() =for ref A simple colortable function for use with the set_colortable function. =for usage coldhot_colortable defines a blue red spectrum of colors where the smallest contour value is blue, the highest is red and the others are shades in between. =cut sub coldhot_colortable{ my($ncolors) = @_; my $colorpdl; # 0 red, 1 green, 2 blue for(my $i=0;$i<$ncolors;$i++){ my $color = zeroes(float,3); (my $t = $color->slice("0")) .= 0.75*($i)/$ncolors; ($t = $color->slice("2")) .= 0.75*($ncolors-$i)/$ncolors; if($i==0){ $colorpdl = $color; }else{ $colorpdl = $colorpdl->append($color); } } return($colorpdl); } 1;