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########################################################################################################## |
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# GD::Graph::histogram |
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# |
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# Copyright 2007, Snehanshu Shah |
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# |
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########################################################################################################## |
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package GD::Graph::histogram; |
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use strict; |
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BEGIN { |
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use Exporter (); |
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use vars qw ($VERSION @ISA @EXPORT @EXPORT_OK %EXPORT_TAGS); |
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$VERSION = 1.10; |
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@ISA = qw (Exporter); |
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#Give a hoot don't pollute, do not export more than needed by default |
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@EXPORT = qw (); |
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@EXPORT_OK = qw (); |
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%EXPORT_TAGS = (); |
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} |
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use GD::Graph::bars; |
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use GD::Graph::Data; |
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@GD::Graph::histogram::ISA = qw(GD::Graph::bars); |
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my %Defaults = ( |
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histogram_bins => undef, |
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histogram_type => 'count' |
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); |
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sub plot |
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{ |
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my $self = shift; |
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my $dataArrRef = shift; |
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my $histogram_bins = $self->get('histogram_bins'); |
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my $cp = _histogram_bins( $dataArrRef, $histogram_bins ); |
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my $binArrRef = _histogram_frequency( $dataArrRef, $cp ); |
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if ($self->get('histogram_type') eq 'percentage') |
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{ |
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my $total = 0; |
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grep($total += $_ , @$binArrRef); |
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if ($total > 0) |
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{ |
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for (my $i = 0; $i < scalar(@$binArrRef); $i++) |
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{ |
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$binArrRef->[$i] = 100 * $binArrRef->[$i] / $total; |
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} |
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} |
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} |
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my @labelArr; |
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for my $bin (@$cp) |
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{ |
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push(@labelArr, _numformat( $bin->[0] + ($bin->[1] - $bin->[0])/2 ) ); |
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} |
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my $data = GD::Graph::Data->new([ \@labelArr, $binArrRef ]) or die GD::Graph::Data->error; |
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# Display the labels veritcally for histogram |
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$self->set( x_labels_vertical => 1 ); |
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return $self->SUPER::plot($data); |
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} |
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################################################################### |
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# _histogram_bins - calculates the bins usings Scott's algorithm |
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# |
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# Arguements: |
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# |
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# $data (Vector) - Data values |
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# |
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# $nbins (Integer) - Number of bins to create. If $nbins is undef |
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# the number of bins is calculated using Scott's |
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# algorithm |
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# |
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################################################################### |
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sub _histogram_bins { |
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my ( $data, $nbins ) = @_; |
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if( !defined $data ) { return; } |
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my $calcBins = ( defined $nbins )? 0 : 1; |
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my $cnt = 0; |
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my $mean= 0; |
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my $max = my $min = $data->[0]; |
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foreach (@$data) { |
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$mean += $_; |
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$min = ( $_ < $min )? $_ : $min; |
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$max = ( $_ > $max )? $_ : $max; |
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$cnt++; |
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} |
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$mean /= $cnt if( $cnt > 1 ); |
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my $sumsq = 0; |
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$nbins = 1 if( $calcBins ); |
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my $s = 0; |
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if( $cnt > 1 ) { |
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foreach (@$data) { |
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$sumsq += ( $_ - $mean )**2; |
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} |
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$s = sqrt( $sumsq / ($cnt - 1)); |
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$nbins = 3.49 * $s / $cnt**0.33 if( $s > 0 && $calcBins ); |
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} |
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my $binwidth = ( $max - $min ) / $nbins; |
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my $lower = $min; |
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my $upper = $lower; |
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my $bins; |
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my @cutPoints; |
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my $cntr = 0; |
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while ( $upper <= $max && $cntr < $nbins) { |
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$upper = $lower + $binwidth; |
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push( @cutPoints, [$lower, $upper] ); |
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$lower = $upper; |
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$cntr++; |
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} |
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return \@cutPoints; |
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} |
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################################################################### |
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# _histogram_frequency - bins the data |
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# |
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# Lower Boundry <= data value < Upper Boundry |
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# |
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# Arguements: |
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# |
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# $data (Vector) - Data values |
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# |
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# $nbins (Integer) - Vector containing the cutpoints to bin the data |
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# |
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################################################################### |
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sub _histogram_frequency { |
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my ( $data, $cutPoints ) = @_; |
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if( !defined $data || !defined $cutPoints ) { return; } |
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my @freqs; |
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foreach (@$cutPoints) { |
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push( @freqs, 0 ); |
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} |
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foreach (@$data) |
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{ |
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for( my $i = 0; $i < scalar( @$cutPoints ); $i++ ) |
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{ |
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if( ($_ >= $cutPoints->[$i]->[0] && $_ < $cutPoints->[$i]->[1]) |
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|| |
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($i == (scalar (@$cutPoints) - 1) && $_ >= $cutPoints->[$i]->[1]) ) |
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{ |
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$freqs[$i]++; |
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} |
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} |
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} |
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return \@freqs; |
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} |
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sub _numformat { |
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my ($v, $f1, $f2) = @_; |
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unless(defined $v) { return undef; } |
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unless(defined $f1) { $f1 = "%.4e"; } |
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unless(defined $f2) { |
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if ($v < 1) { |
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$f2 = "%.5f"; |
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} else { |
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$f2 = "%.3f"; |
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} |
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} |
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## To display no for eg. 22.50 as 22.5 |
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if ($v =~ /^([+-]?\d+)\.(\d+)$/) { |
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my $no = $1; |
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my $fraction = $2; |
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$fraction =~ s/0+$//; |
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$v = (length($fraction) == 0) ? $no : "$no.$fraction"; |
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} |
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if ($v =~ /\./){ |
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if ($v == 0) { |
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$v = 0; |
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} elsif (($v > -0.001) and ($v < 0.001)) { |
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$v = sprintf($f1, $v); |
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} else { |
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$v = sprintf($f2, $v); |
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} |
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} |
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return $v; |
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} |
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203
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sub _has_default { |
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my $self = shift; |
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my $attr = shift || return; |
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exists $Defaults{$attr} || $self->SUPER::_has_default($attr); |
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} |
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########################################### main pod documentation begin ## |
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# Below is the stub of documentation for your module. You better edit it! |
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=head1 NAME |
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216
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GD::Graph::histogram - Histogram plotting module for Perl5 |
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=head1 SYNOPSIS |
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use GD::Graph::histogram; |
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222
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=head1 DESCRIPTION |
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224
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GD::Graph::histogram extends the GD::Graph module to create histograms. |
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The module allow creation of count or percentage histograms. |
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227
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=head1 USAGE |
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Fill an array with all the data values that are to be plotted. Note that |
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GD::Graph::histogram unlike the other GD::Graph modules can only plot one |
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data set at a time. |
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$data = [1,5,7,8,9,10,11,3,3,5,5,5,7,2,2]; |
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Create the graph |
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my $graph = new GD::Graph::histogram(400,600); |
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Set graph options |
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$graph->set( |
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x_label => 'X Label', |
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y_label => 'Count', |
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title => 'A Simple Count Histogram Chart', |
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x_labels_vertical => 1, |
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bar_spacing => 0, |
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shadow_depth => 1, |
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shadowclr => 'dred', |
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transparent => 0, |
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) |
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or warn $graph->error; |
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plot the graph |
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my $gd = $graph->plot($data) or die $graph->error; |
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save the graph to a file |
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open(IMG, '>histogram.png') or die $!; |
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binmode IMG; |
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print IMG $gd->png; |
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=head1 METHODS |
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GD::Graph::histogram supports all the methods support by GD::Graph. |
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Please refer to the GD::Graph documentation for more information. |
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The only method that behaves differently is I |
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The I method provided by GD::Graph::histogram expects a |
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reference to an array of numbers. |
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Based on the input data, GD::Graph::histogram will generate the |
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appropriate labels for the X axis. The X axis label represent the center |
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point of the range of each histogram bin. |
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=head1 OPTIONS |
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GD::Graph::histogram supports all the options supported by GD::Graph::bars. |
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Please refer to the GD::Graph documentation for more information. |
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The two additional options that are specific to GD::Graph::histogram are: |
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histogram_bins |
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Specify the number of histogram bins to bucket the data into. |
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The default is for the module to automatically computed the |
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histogram bins based on the data. |
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histogram_type |
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Can be set to either 'percentage' or 'count'. By default the module |
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will create 'count' histograms. |
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=head1 NOTES |
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As with all Modules for Perl: Please stick to using the interface. If |
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you try to fiddle too much with knowledge of the internals of this |
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module, you could get burned. I may change them at any time. |
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299
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=head1 AUTHOR |
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301
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Snehanshu Shah |
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perl@whizdog.com |
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http://www.whizdog.com |
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305
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=head1 ACKNOWLEDGEMENTS |
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307
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Thanks for all the feedback, bug reports and bug fixes |
308
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309
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Martin Corley |
310
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Jonathan Barber |
311
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William Miller |
312
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313
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314
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=head1 COPYRIGHT |
315
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316
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This program is free software; you can redistribute |
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it and/or modify it under the same terms as Perl itself. |
318
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319
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|
The full text of the license can be found in the |
320
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LICENSE file included with this module. |
321
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322
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=head1 SEE ALSO |
323
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324
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|
perl(1), GD::Graph |
325
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326
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=cut |
327
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328
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__END__ |