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# color value operation generating color sets |
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package Graphics::Toolkit::Color::SetCalculator; |
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254242
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use v5.12; |
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use warnings; |
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258
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2539
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use Graphics::Toolkit::Color::Calculator; |
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8713
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######################################################################## |
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sub complement { # -- :start_values, @target_delta, +steps, +tilt, +skew, :space --> @:values |
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0
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440
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my ($start_color, $target_delta, $steps, $tilt, $skew, $color_space) = @_; |
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50
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50
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return unless ref $color_space eq 'Graphics::Toolkit::Color::Space'; |
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return 'need a cylindrical color space from the HSL family as color space' unless $color_space->family eq 'HSL'; |
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my $axis_position = { |
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h => $color_space->pos_from_axis_role('hue'), |
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s => $color_space->pos_from_axis_role('saturation'), |
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l => $color_space->pos_from_axis_role('lightness'), |
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}; |
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my $hue_half_max = $color_space->shape->axis_value_max( $axis_position->{'h'} ) / 2; |
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my $start_tuple = $start_color->shaped( $color_space->name ); |
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$start_tuple = $color_space->rotate( $start_tuple ); |
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my $target_values = [@$start_tuple]; # target = THE complement + usr changes |
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$target_values->[$axis_position->{'h'}] += $hue_half_max; |
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100
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$target_delta->[$_] //= 0 for 0 .. 2; |
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$target_values->[$_] += $target_delta->[$_] for 0 .. 2; |
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$target_values = $color_space->clamp( $target_values ); |
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$target_delta->[$axis_position->{'s'}] = $target_values->[$axis_position->{'s'}] - $start_tuple->[$axis_position->{'s'}]; |
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$target_delta->[$axis_position->{'l'}] = $target_values->[$axis_position->{'l'}] - $start_tuple->[$axis_position->{'l'}]; |
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my $result_count = int abs $steps; |
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23
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my $scaling_exponent = abs($tilt) + 1; |
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my @hue_pos_normal = map {($_ * 2 / $result_count) ** $scaling_exponent} 1 .. ($result_count - 1) / 2; |
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100
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@hue_pos_normal = map {1 - $_} reverse @hue_pos_normal if $tilt > 0; # reverse tilt effect if tilt negative |
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11
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my $hue_target_delta = $hue_half_max + $target_delta->[$axis_position->{'h'}]; # real value size of half complement circle |
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my @result = (); |
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for my $hue_position (@hue_pos_normal){ |
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10
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my $tuple = []; |
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10
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$tuple->[$axis_position->{'h'}] = $start_tuple->[$axis_position->{'h'}] + ($hue_target_delta * $hue_position); |
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10
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$tuple->[$axis_position->{'s'}] = $start_tuple->[$axis_position->{'s'}] + ($target_delta->[$axis_position->{'s'}] * $hue_position); |
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$tuple->[$axis_position->{'l'}] = $start_tuple->[$axis_position->{'l'}] + ($target_delta->[$axis_position->{'l'}] * $hue_position); |
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10
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100
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39
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$tuple->[$axis_position->{'l'}] -= ($hue_position <= 0.5) ? ($skew * $hue_position * 2) : ($skew * (2 - ( $hue_position * 2))); |
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10
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push @result, Graphics::Toolkit::Color::Values->new_from_tuple( $tuple, $color_space->name ); |
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} |
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47
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14
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100
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100
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66
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push @result, Graphics::Toolkit::Color::Values->new_from_tuple( $target_values, $color_space->name) |
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48
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if $result_count == 1 or not $result_count % 2; |
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14
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28
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$hue_target_delta = $hue_half_max - $target_delta->[$axis_position->{'h'}]; |
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50
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14
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29
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@hue_pos_normal = map {1 - $_} reverse @hue_pos_normal; |
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10
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21
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51
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14
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for my $hue_position (@hue_pos_normal){ |
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10
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13
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my $tuple = []; |
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10
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26
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$tuple->[$axis_position->{'h'}] = $target_values->[$axis_position->{'h'}] + ($hue_target_delta * $hue_position); |
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10
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28
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$tuple->[$axis_position->{'s'}] = $target_values->[$axis_position->{'s'}] - ($target_delta->[$axis_position->{'s'}] * $hue_position); |
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10
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$tuple->[$axis_position->{'l'}] = $target_values->[$axis_position->{'l'}] - ($target_delta->[$axis_position->{'l'}] * $hue_position); |
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100
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30
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$tuple->[$axis_position->{'l'}] += ($hue_position <= 0.5) ? ($skew * $hue_position * 2) : ($skew * (2 - ( $hue_position * 2))); |
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10
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push @result, Graphics::Toolkit::Color::Values->new_from_tuple( $tuple, $color_space->name ); |
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} |
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100
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push @result, $start_color if $result_count > 1; |
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14
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102
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return @result; |
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} |
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63
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######################################################################## |
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sub analogous { # :start_values, :next_values -- +steps, +tilt, :space --> @:values |
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3
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3
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0
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9
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my ($start_color, $next_color, $steps, $tilt, $color_space) = @_; |
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66
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3
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3
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$steps = int $steps; |
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3
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50
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return $start_color if $steps == 1; |
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return $start_color, $next_color if $steps == 2; |
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3
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my @result = ($start_color, $next_color); |
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3
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my $start_tuple = $start_color->normalized( $color_space->name ); |
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3
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my $next_tuple = $next_color->normalized( $color_space->name ); |
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3
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my $delta_tuple = $color_space->delta( $start_tuple, $next_tuple ); |
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3
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for my $color_nr (3 .. $steps){ |
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for my $axis_nr ($color_space->basis->axis_iterator){ |
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12
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$delta_tuple->[$axis_nr] *= 1 + $tilt; |
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$next_tuple->[$axis_nr] += $delta_tuple->[$axis_nr]; |
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} |
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78
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4
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9
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my $next_color = $start_color->new_from_tuple( $next_tuple, $color_space->name, 'normal', 'raw' ); |
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79
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4
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100
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last unless $next_color->is_in_gamut( $color_space->name ); |
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80
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3
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7
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push @result, $next_color; |
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81
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} |
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82
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3
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17
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return @result; |
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83
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} |
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######################################################################## |
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86
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sub gradient { # @:color_values -- +steps, +tilt, :space --> @:values |
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87
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15
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15
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0
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1758
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my ($colors, $steps, $tilt, $color_space) = @_; |
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88
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15
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34
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my $scaling_exponent = abs($tilt) + 1; # tilt = exponential scaling |
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89
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15
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34
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my $segment_count = @$colors - 1; |
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90
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15
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47
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my @percent_in_gradient = map {(($_-1) / ($steps-1)) ** $scaling_exponent} 2 .. $steps - 1; |
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55
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137
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91
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15
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100
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47
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@percent_in_gradient = map {1 - $_} reverse @percent_in_gradient if $tilt < 0; |
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1
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5
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92
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15
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34
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my @result = ($colors->[0]); |
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93
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15
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39
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for my $step_nr (2 .. $steps - 1){ |
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55
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85
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my $percent_in_gradient = $percent_in_gradient[$step_nr-2]; |
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55
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my $current_segment_nr = int ($percent_in_gradient * $segment_count); |
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96
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55
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89
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my $percent_in_segment = $segment_count * ($percent_in_gradient - ($current_segment_nr / $segment_count)); |
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97
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55
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170
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push @result, Graphics::Toolkit::Color::Calculator::mix( |
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98
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$colors->[$current_segment_nr], [ $colors->[$current_segment_nr+1] ], $percent_in_segment, $color_space ); |
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} |
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100
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15
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50
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46
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push @result, pop @$colors if $steps > 1; |
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101
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15
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115
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return @result; |
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102
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} |
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103
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104
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######################################################################## |
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105
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my $adj_len_at_45_deg = sqrt(2) / 2; |
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106
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107
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sub cluster { # :center_values, @+|+radius +min_distance -- :space --> @:values |
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108
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16
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16
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0
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4841
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my ($center_color, $cluster_radius, $color_distance, $color_space) = @_; |
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109
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16
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66
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my $center_tuple = $center_color->shaped( $color_space->name ); |
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110
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16
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33
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my $center_x = $center_tuple->[0]; |
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111
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16
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24
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my $center_y = $center_tuple->[1]; |
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112
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16
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53
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my $center_z = $center_tuple->[2]; |
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113
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16
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18
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my @result_values; |
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114
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16
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100
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43
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if (ref $cluster_radius) { # cuboid shaped cluster |
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115
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8
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20
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my $colors_in_direction = int $cluster_radius->[0] / $color_distance; |
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116
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8
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16
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my $corner_value = $center_tuple->[0] - ($colors_in_direction * $color_distance); |
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117
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8
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23
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@result_values = map {[$corner_value + ($_ * $color_distance)]} 0 .. 2 * $colors_in_direction; |
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18
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33
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118
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8
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23
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for my $axis_index (1 .. $color_space->axis_count - 1){ |
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119
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17
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41
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my $colors_in_direction = int $cluster_radius->[$axis_index] / $color_distance; |
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120
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17
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22
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my $corner_value = $center_tuple->[$axis_index] - ($colors_in_direction * $color_distance); |
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121
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@result_values = map { |
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122
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17
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21
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my @good_values = @$_[0 .. $axis_index-1]; |
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77
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114
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123
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77
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94
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map {[@good_values, ($corner_value + ($_ * $color_distance))]} 0 .. 2 * $colors_in_direction; |
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285
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557
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124
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} @result_values; |
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125
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} |
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126
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} else { # ball shaped cluster (FCC) |
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127
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8
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24
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my $layer_distance = sqrt( 2 * $color_distance * $color_distance ) / 2; |
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128
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8
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21
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for my $layer_nr (0 .. $cluster_radius / $layer_distance){ |
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129
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16
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20
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my $layer_height = $layer_nr * $layer_distance; |
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130
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16
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22
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my $layer_z_up = $center_z + $layer_height; |
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131
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16
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17
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my $layer_z_dn = $center_z - $layer_height; |
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132
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16
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37
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my $layer_radius = sqrt( ($cluster_radius**2) - ($layer_height**2) ); |
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133
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16
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20
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my $radius_in_colors = $layer_radius / $color_distance; |
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134
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16
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100
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46
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if ($layer_nr % 2){ # odd layer of cuboctahedral packing |
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135
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7
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12
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my $contour_cursor = int ($radius_in_colors - 0.5); |
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136
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7
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10
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my $grid_row_count = ($radius_in_colors * $adj_len_at_45_deg) - .5; |
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137
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7
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50
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16
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next if $grid_row_count < 0; |
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138
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7
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12
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my @grid = (); |
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139
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7
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13
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for my $x_index (0 .. $grid_row_count){ |
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140
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7
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100
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24
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$contour_cursor-- if sqrt( (($contour_cursor+.5)**2) + (($x_index+.5)**2) ) > $radius_in_colors; |
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141
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7
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12
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$grid[$x_index] = $contour_cursor; |
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142
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7
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14
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$grid[$contour_cursor] = $x_index; |
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143
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} |
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144
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7
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16
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for my $x_index (0 .. $#grid){ |
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145
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8
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14
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my $delta_x = (0.5 + $x_index) * $color_distance; |
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146
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8
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14
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my ($x1, $x2) = ($center_x + $delta_x, $center_x - $delta_x); |
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147
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8
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14
|
for my $y_index (0 .. $grid[$x_index]){ |
|
148
|
9
|
|
|
|
|
11
|
my $delta_y = (0.5 + $y_index) * $color_distance; |
|
149
|
9
|
|
|
|
|
11
|
my ($y1, $y2) = ($center_y + $delta_y, $center_y - $delta_y); |
|
150
|
9
|
|
|
|
|
59
|
push @result_values, |
|
151
|
|
|
|
|
|
|
[$x1, $y1, $layer_z_up], [$x2, $y1, $layer_z_up], |
|
152
|
|
|
|
|
|
|
[$x1, $y2, $layer_z_up], [$x2, $y2, $layer_z_up], |
|
153
|
|
|
|
|
|
|
[$x1, $y1, $layer_z_dn], [$x2, $y1, $layer_z_dn], |
|
154
|
|
|
|
|
|
|
[$x1, $y2, $layer_z_dn], [$x2, $y2, $layer_z_dn]; |
|
155
|
|
|
|
|
|
|
} |
|
156
|
|
|
|
|
|
|
} |
|
157
|
|
|
|
|
|
|
} else { # even layer of cuboctahedral packing |
|
158
|
9
|
|
|
|
|
12
|
my $grid_row_count = int $radius_in_colors; |
|
159
|
9
|
|
|
|
|
18
|
my @grid = ($grid_row_count); |
|
160
|
9
|
|
|
|
|
11
|
$grid[$grid_row_count] = 0; |
|
161
|
9
|
|
|
|
|
13
|
my $contour_cursor = $grid_row_count; |
|
162
|
9
|
|
|
|
|
20
|
for my $x_index (1 .. $layer_radius * $adj_len_at_45_deg / $color_distance){ |
|
163
|
2
|
50
|
|
|
|
7
|
$contour_cursor-- if sqrt(($contour_cursor**2) + ($x_index**2)) > $radius_in_colors; |
|
164
|
2
|
|
|
|
|
3
|
$grid[$x_index] = $contour_cursor; |
|
165
|
2
|
|
|
|
|
3
|
$grid[$contour_cursor] = $x_index; |
|
166
|
|
|
|
|
|
|
} |
|
167
|
9
|
|
|
|
|
22
|
my @layer_values = map {[$center_x + ($_ * $color_distance), $center_y, $layer_z_up]} |
|
|
27
|
|
|
|
|
59
|
|
|
168
|
|
|
|
|
|
|
-$grid_row_count .. $grid_row_count; |
|
169
|
9
|
|
|
|
|
20
|
for my $y_index (1 .. $grid_row_count){ |
|
170
|
9
|
|
|
|
|
15
|
my $delta_y = $y_index * $color_distance; |
|
171
|
9
|
|
|
|
|
18
|
my ($y1, $y2) = ($center_y + $delta_y, $center_y - $delta_y); |
|
172
|
9
|
|
|
|
|
19
|
for my $x_index (-$grid[$y_index] .. $grid[$y_index]){ |
|
173
|
11
|
|
|
|
|
14
|
my $x = $center_x + ($x_index * $color_distance); |
|
174
|
11
|
|
|
|
|
32
|
push @layer_values, [$x, $y1, $layer_z_up], [$x, $y2, $layer_z_up]; |
|
175
|
|
|
|
|
|
|
} |
|
176
|
|
|
|
|
|
|
} |
|
177
|
9
|
100
|
|
|
|
25
|
if ($layer_nr > 0){ |
|
178
|
1
|
|
|
|
|
5
|
push @result_values, [$_->[0], $_->[1], $layer_z_dn] for @layer_values; |
|
179
|
|
|
|
|
|
|
} |
|
180
|
9
|
|
|
|
|
20
|
push @result_values, @layer_values; |
|
181
|
|
|
|
|
|
|
} |
|
182
|
|
|
|
|
|
|
} |
|
183
|
|
|
|
|
|
|
} |
|
184
|
|
|
|
|
|
|
# check for linear space borders and constraints |
|
185
|
281
|
|
|
|
|
568
|
return map { Graphics::Toolkit::Color::Values->new_from_tuple( $_, $color_space->name )} |
|
186
|
16
|
|
|
|
|
31
|
grep { $color_space->is_in_linear_bounds($_) } @result_values; |
|
|
352
|
|
|
|
|
539
|
|
|
187
|
|
|
|
|
|
|
} |
|
188
|
|
|
|
|
|
|
|
|
189
|
|
|
|
|
|
|
1; |