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package Algorithm::Shape::RandomTree; |
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28536
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use Moose; |
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use namespace::autoclean; |
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use Algorithm::Shape::RandomTree::Branch; |
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use Algorithm::Shape::RandomTree::Branch::Point; |
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9
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our $VERSION = '0.01'; |
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## Attributes ## |
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has 'stem_length' => ( is => 'ro', isa => 'Int' ); # Length of stem |
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has 'tree_width' => ( is => 'ro', isa => 'Int' ); # Width of stem |
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has 'stem_curve' => ( is => 'ro', isa => 'Int' ); # Curvature and complexity of stem |
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has 'branch_length' => ( is => 'ro', isa => 'Int' ); # Average (non-stem) branch length |
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has 'branch_stdev' => ( is => 'ro', isa => 'Int' ); # Plus-minus range around the average |
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has 'complexity' => ( is => 'ro', isa => 'Int' ); # Branching modifier: max number of |
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# branches sprouting from a node |
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has 'branch_curve' => ( is => 'ro', isa => 'Num' ); # Average curvature of (non-stem) |
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# branches |
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# Nodulation: determins the number of levels of sub-branching |
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has 'nodulation' => ( is => 'ro', isa => 'Int' ); |
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# Ebbing Factor: Determins how quickly the nodulation decreases along the tree |
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has 'ebbing_factor' => ( is => 'ro', isa => 'Int', default => 2 ); |
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28
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# Creation algorithm: can be either linear or recursive |
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# Linear gives more control but looks slightly less natural |
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has 'creation_algorithm' => ( is => 'ro', isa => 'Str', default => 'recursive' ); |
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has 'branches' => ( |
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is => 'ro', |
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isa => 'ArrayRef', |
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traits => [ 'Array' ], |
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default => sub { [ ] }, |
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handles => { |
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add_branch => 'push', |
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count_branches => 'count', |
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filter_branches => 'grep', |
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}, |
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); |
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# These two determine the amount of change in branch length and angle |
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# between branches, and along the whole shape of the tree |
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has 'dx_range' => ( is => 'ro', isa => 'Int' ); |
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has 'dy_range' => ( is => 'ro', isa => 'Int' ); |
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has 'verbose' => ( is => 'ro', isa => 'Bool' ); |
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51
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# TODO: Determines whether the tree's shape is more dominated by a single stem with |
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# shorter and less developed sub-branches, or is highly complex and branching. |
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# An apically dominant tree will have one dominant stem with many branches |
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# sprouting out of it, throughout it's length. ** Not yet implemented (I still |
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# need to think how to do this). ** |
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# The easier model is the non-apically-dominant tree, with modular branches. |
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has 'apical_dominance' => ( is => 'ro', isa => 'Int' ); |
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59
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# This is the width of the image on which the tree will be rendered, in pixels |
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has 'image_width' => ( is => 'ro', isa => 'Int' ); |
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62
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63
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## Methods ## |
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65
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sub create_tree { |
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my $self = shift; |
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68
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my $verb = $self->verbose; |
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70
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$verb && print "[create_tree] Starting\n"; |
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$verb && print "[create_tree] algorithm is $self->creation_algorithm\n"; |
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73
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if ( $self->creation_algorithm eq 'recursive' ) { |
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# Create main stem |
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my $stem = $self->create_stem; |
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77
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$verb && print "[create_tree] creating primary branches\n"; |
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79
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# Create primary branches and recurse all sub-branches |
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foreach my $branch ( 1 .. $self->complexity ) { |
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$verb && print "[create_tree] \t creating primary branch $branch\n"; |
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83
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$self->create_branches_recursive( $stem ); |
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} |
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86
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} else { |
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88
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# Set number of branching levels |
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my $levels = $self->nodulation; |
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91
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$verb && print "[create_tree] creating $levels levels\n"; |
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93
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foreach my $level ( 0 .. $levels ) { |
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$verb && print "[create_tree] \t creating level $level\n"; |
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$self->create_branches( $level ); |
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} |
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} |
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} |
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100
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# Create Branches: Linear branch creating function |
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sub create_branches { |
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my ( $self, $level ) = @_; |
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104
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my $verb = $self->verbose; |
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$verb && print "[create_branches] Starting\n"; |
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107
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my $branch_num; |
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109
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# If it's the first level, the stem and primary branches need to be created |
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if ( $level == 1 ) { |
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my $stem = $self->create_stem; |
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$branch_num = $self->complexity; |
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114
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# Create primary branches |
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foreach my $branch ( 1 .. $branch_num ) { |
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$self->create_branch( $stem, $level ); |
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} |
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119
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} else { |
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121
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# Get the current level's parent branches |
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# ( i.e. the previous level's branches ) |
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my @parent_branches = $self->filter_branches( |
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sub { $_->level = ( $level - 1 ) } |
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); |
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127
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foreach my $parent ( @parent_branches ) { |
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# Number of sub branches |
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my $sub_branches = int( rand( $self->complexity ) ); |
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131
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# Create sub-branches for the current parent branch |
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foreach my $idx ( 1 .. $sub_branches ) { |
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$self->create_branch( $parent, $level ); |
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} |
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135
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} |
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} |
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} |
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139
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# Create Stem: creates the primary branch (stem) for in both recursive and |
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# linear tree creating algorithms |
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sub create_stem { |
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my $self = shift; |
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144
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my $verb = $self->verbose; |
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$verb && print "[create_stem] Starting\n"; |
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147
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my $d = $self->stem_length; |
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149
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# Set stem slope ( currently it's stragight up - slope = 0 ) |
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150
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my $m = 0; |
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151
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# To set the slope to a random number between -/+0.5: |
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# my $m = -0.5 + rand(1); |
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153
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154
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# Set starting coordinates for the Tree's stem |
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155
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156
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# Stem's X position is in the middle of the image |
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my $x_start = int( $self->image_width / 2 ); |
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158
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# Y position is of 1st point is on the ground. |
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159
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my $y_start = 0; |
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161
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# Mathematically speaking: |
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# Stem length = distance between it's start and end points: |
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# d = sqrt[ (x2-x1)**2 + (y2-y1)**2 ] = sqrt( dx**2 + dy**2 ) |
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164
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# Slope: |
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# m = dy / dx = (y2-y1) / (x2-x1) |
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167
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# After development and a applying the square-root: |
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# y = sqrt[ d**2 / ( m**2 + 1 ) ] + y1 |
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# x = m * (y1 - y) + x1 |
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170
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171
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my $y_end = int( |
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sqrt( $d ** 2 / ( ( $m ** 2 ) + 1 ) + $y_start ) |
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); |
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175
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my $x_end = int( |
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$m * ( $y_end - $y_start ) + $x_start |
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177
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); |
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179
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180
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# Create stem coordinates |
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181
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my $start_point = Algorithm::Shape::RandomTree::Branch::Point->new( |
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182
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x => $x_start, y => $y_start, |
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183
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); |
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184
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my $end_point = Algorithm::Shape::RandomTree::Branch::Point->new( |
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185
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x => $x_end, y => $y_end, |
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186
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); |
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187
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188
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$verb && print "[create_stem] \tcreating stem\n"; |
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190
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my $stem = Algorithm::Shape::RandomTree::Branch->new( |
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191
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name => 1, |
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192
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start_point => $start_point, |
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193
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end_point => $end_point, |
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194
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dx => $x_end - $x_start, |
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195
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dy => $y_end - $y_start, |
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196
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level => 0, |
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197
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nodulation => $self->nodulation, |
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198
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complexity => $self->complexity, |
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width => $self->tree_width, |
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200
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); |
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201
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202
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# Add stem to branches collection |
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$self->add_branch( $stem ); |
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204
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205
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return $stem; |
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206
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} |
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207
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208
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# Linear algorithm's branch creation sub |
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209
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sub create_branch { |
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210
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my ( $self, $parent, $level ) = @_; |
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my $start_point = $parent->end_point; |
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my $verb = $self->verbose; |
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my ( $dx, $dy ) = $self->calc_new_deltas( $parent ); |
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my ( $x_end, $y_end ) = $self->calc_new_endpoints( |
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$start_point, $dx, $dy |
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); |
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my $end_point = Algorithm::Shape::RandomTree::Branch::Point->new( |
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x => $x_end, y => $y_end |
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); |
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my $number = $self->count_branches + 1; # New branch's num (name) |
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my $newbranch = Algorithm::Shape::RandomTree::Branch->new( |
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name => $number, |
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start_point => $start_point, |
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end_point => $end_point, |
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dx => $dx, |
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dy => $dy, |
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level => $level, |
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parent => $parent, |
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# nodulation => , |
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# complexity => , |
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); |
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$self->add_branch( $newbranch ); |
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} |
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240
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# Calculate New Deltas: uses the parent branch's attributes and random factors |
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# to modify a new branche's dx and dy values, who determin the angle and length |
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# of the new branch. |
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sub calc_new_deltas { |
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my ( $self, $parent ) = @_; |
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my $verb = $self->verbose; |
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249
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# Get parent branch's deltas |
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my $old_dx = $parent->dx; |
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my $old_dy = $parent->dy; |
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253
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# Calculate modifiers: |
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# These slightly change the dx and dy to create variation and randomness |
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# in branches lengths and angles. |
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# Modifiers range from -range_value to +range_value |
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my $dx_modifier = ( |
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int( rand( $self->dx_range ) * -1 ) + |
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int( rand( $self->dx_range ) ) |
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); |
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261
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262
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my $dy_modifier = ( |
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int( rand( $self->dy_range ) * -1 ) + |
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int( rand( $self->dy_range ) ) |
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); |
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267
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# If the level is 0, it's the stem's children, so the falloff should be 1.5 |
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# (so that they would still be a bit shorter than the stem). |
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# otherwise, it should be the level + 1 |
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my $falloff = ( $parent->level == 0 ) ? 1.5 : $parent->level + 1; |
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272
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# Apply modifiers |
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273
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my $new_dx = int ( ( $old_dx + $dx_modifier ) / $falloff ); |
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274
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my $new_dy = int ( ( $old_dy + $dy_modifier ) / $falloff ); |
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275
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276
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return( $new_dx, $new_dy ); |
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277
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} |
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278
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279
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# Calculate New End-points: ( by adding the deltas to the start-points ) |
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280
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sub calc_new_endpoints { |
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281
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my ( $self, $start_point, $dx, $dy ) = @_; |
|
282
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283
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my $x_end = $dx + $start_point->x; |
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284
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my $y_end = $dy + $start_point->y; |
|
285
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286
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return( $x_end, $y_end ); |
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287
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} |
|
288
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289
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# The recursive algorithm for creating all non-stem branches |
|
290
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sub create_branches_recursive { |
|
291
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my ( $self, $parent ) = @_; |
|
292
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293
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my $verb = $self->verbose; |
|
294
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|
295
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|
my $name = $parent->name; |
|
296
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|
$verb && print "[create_branches_recursive] on parent: $name\n"; |
|
297
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298
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|
# Create a new branch connected to parent |
|
299
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|
|
my $branch = $self->make_branch( $parent ); |
|
300
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|
301
|
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|
|
# Create this branche's sub-branches |
|
302
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|
|
if ( $branch->nodulation ) { |
|
303
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|
|
foreach my $idx ( 1 .. $branch->complexity ) { |
|
304
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|
|
$verb && print qq{ |
|
305
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|
|
[create_branches_recursive] \tcreating $name 's branches\n |
|
306
|
|
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|
|
}; |
|
307
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|
|
$self->create_branches_recursive( $branch ); |
|
308
|
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|
|
} |
|
309
|
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|
|
} |
|
310
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|
} |
|
311
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|
312
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|
|
# Sub for creating single branches used by the recursive algorithm |
|
313
|
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|
|
sub make_branch { |
|
314
|
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|
|
my ( $self, $parent ) = @_; |
|
315
|
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|
|
my $start_point = $parent->end_point; |
|
316
|
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|
317
|
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|
|
my $verb = $self->verbose; |
|
318
|
|
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|
319
|
|
|
|
|
|
|
my $name = $parent->name; |
|
320
|
|
|
|
|
|
|
$verb && print "[make_branche] on parent: $name\n"; |
|
321
|
|
|
|
|
|
|
|
|
322
|
|
|
|
|
|
|
my ( $dx, $dy ) = $self->calc_new_deltas( $parent ); |
|
323
|
|
|
|
|
|
|
my ( $x_end, $y_end ) = $self->calc_new_endpoints( |
|
324
|
|
|
|
|
|
|
$start_point, $dx, $dy |
|
325
|
|
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|
|
); |
|
326
|
|
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|
|
|
|
|
|
327
|
|
|
|
|
|
|
my $end_point = Algorithm::Shape::RandomTree::Branch::Point->new( |
|
328
|
|
|
|
|
|
|
x => $x_end, y => $y_end |
|
329
|
|
|
|
|
|
|
); |
|
330
|
|
|
|
|
|
|
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|
331
|
|
|
|
|
|
|
my $number = $self->count_branches + 1; # New branch's num (name) |
|
332
|
|
|
|
|
|
|
my $nodulation = $self->calc_new_nodulation( $parent ); |
|
333
|
|
|
|
|
|
|
|
|
334
|
|
|
|
|
|
|
my $complexity = int( rand( $self->complexity ) ); # Calculate new complexity |
|
335
|
|
|
|
|
|
|
|
|
336
|
|
|
|
|
|
|
# Calculate new width, and prevent a less than 1 width |
|
337
|
|
|
|
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|
|
my $falloff = ( $parent->level == 0 ) ? 1.5 : $parent->level + 1; |
|
338
|
|
|
|
|
|
|
my $new_width = int ( $self->tree_width / $falloff ); |
|
339
|
|
|
|
|
|
|
my $width = $new_width ? $new_width : 1; |
|
340
|
|
|
|
|
|
|
|
|
341
|
|
|
|
|
|
|
my $path_str = $self->create_path( $start_point, $end_point, $dx, $dy ); |
|
342
|
|
|
|
|
|
|
|
|
343
|
|
|
|
|
|
|
my $newbranch = Algorithm::Shape::RandomTree::Branch->new( |
|
344
|
|
|
|
|
|
|
name => $number, |
|
345
|
|
|
|
|
|
|
start_point => $start_point, |
|
346
|
|
|
|
|
|
|
end_point => $end_point, |
|
347
|
|
|
|
|
|
|
dx => $dx, |
|
348
|
|
|
|
|
|
|
dy => $dy, |
|
349
|
|
|
|
|
|
|
level => $parent->level + 1, |
|
350
|
|
|
|
|
|
|
parent => $parent, |
|
351
|
|
|
|
|
|
|
nodulation => $nodulation, |
|
352
|
|
|
|
|
|
|
complexity => $complexity, |
|
353
|
|
|
|
|
|
|
width => $width, |
|
354
|
|
|
|
|
|
|
path_string => $path_str, |
|
355
|
|
|
|
|
|
|
); |
|
356
|
|
|
|
|
|
|
|
|
357
|
|
|
|
|
|
|
$verb && print "[make_branche] \tmaking branch $number\n"; |
|
358
|
|
|
|
|
|
|
|
|
359
|
|
|
|
|
|
|
$self->add_branch( $newbranch ); |
|
360
|
|
|
|
|
|
|
|
|
361
|
|
|
|
|
|
|
return $newbranch; |
|
362
|
|
|
|
|
|
|
} |
|
363
|
|
|
|
|
|
|
|
|
364
|
|
|
|
|
|
|
sub calc_new_nodulation { |
|
365
|
|
|
|
|
|
|
my ( $self, $parent ) = @_; |
|
366
|
|
|
|
|
|
|
|
|
367
|
|
|
|
|
|
|
my $verb = $self->verbose; |
|
368
|
|
|
|
|
|
|
|
|
369
|
|
|
|
|
|
|
my $old = $parent->nodulation; |
|
370
|
|
|
|
|
|
|
|
|
371
|
|
|
|
|
|
|
# Reduce ebbing factor from the parent's nodulation |
|
372
|
|
|
|
|
|
|
my $new = $old - $self->ebbing_factor; |
|
373
|
|
|
|
|
|
|
|
|
374
|
|
|
|
|
|
|
return $new; |
|
375
|
|
|
|
|
|
|
} |
|
376
|
|
|
|
|
|
|
|
|
377
|
|
|
|
|
|
|
sub create_path { |
|
378
|
|
|
|
|
|
|
my ( $self, $start, $end, $dx, $dy ) = @_; |
|
379
|
|
|
|
|
|
|
|
|
380
|
|
|
|
|
|
|
my $x1 = $start->x; |
|
381
|
|
|
|
|
|
|
my $y1 = $start->y; |
|
382
|
|
|
|
|
|
|
my $x2 = $end->x; |
|
383
|
|
|
|
|
|
|
my $y2 = $end->y; |
|
384
|
|
|
|
|
|
|
|
|
385
|
|
|
|
|
|
|
my $length = sqrt( $dx ** 2 + $dy ** 2 ); |
|
386
|
|
|
|
|
|
|
my $phandle = $self->branch_curve * $length; |
|
387
|
|
|
|
|
|
|
|
|
388
|
|
|
|
|
|
|
# X / Y values of control point 1 (curving the start point) |
|
389
|
|
|
|
|
|
|
my $c1_x = $x1 - rand($phandle) + rand($phandle); |
|
390
|
|
|
|
|
|
|
my $c1_y = $y1 - rand($phandle) + rand($phandle); |
|
391
|
|
|
|
|
|
|
|
|
392
|
|
|
|
|
|
|
# X / Y values of control point 2 (curving the end point) |
|
393
|
|
|
|
|
|
|
my $c2_x = $x2 - rand($phandle) + rand($phandle); |
|
394
|
|
|
|
|
|
|
my $c2_y = $y2 - rand($phandle) + rand($phandle); |
|
395
|
|
|
|
|
|
|
|
|
396
|
|
|
|
|
|
|
my $d_str = "M $x1 $y1 C $c1_x $c1_y $c2_x $c2_y $x2 $y2"; |
|
397
|
|
|
|
|
|
|
|
|
398
|
|
|
|
|
|
|
return $d_str; |
|
399
|
|
|
|
|
|
|
} |
|
400
|
|
|
|
|
|
|
|
|
401
|
|
|
|
|
|
|
no Moose; |
|
402
|
|
|
|
|
|
|
|
|
403
|
|
|
|
|
|
|
1; |
|
404
|
|
|
|
|
|
|
|
|
405
|
|
|
|
|
|
|
__END__ |
|
406
|
|
|
|
|
|
|
|
|
407
|
|
|
|
|
|
|
=head1 NAME |
|
408
|
|
|
|
|
|
|
|
|
409
|
|
|
|
|
|
|
Algorithm::Shape::RandomTree - Create an object representing a procedural, editable, randomized plant shape that |
|
410
|
|
|
|
|
|
|
can be rendered graphically by other modules. |
|
411
|
|
|
|
|
|
|
|
|
412
|
|
|
|
|
|
|
=head1 VERSION |
|
413
|
|
|
|
|
|
|
|
|
414
|
|
|
|
|
|
|
Version 0.01 |
|
415
|
|
|
|
|
|
|
|
|
416
|
|
|
|
|
|
|
=head1 SYNOPSIS |
|
417
|
|
|
|
|
|
|
|
|
418
|
|
|
|
|
|
|
A detailed synopsis with examples will be released soon. |
|
419
|
|
|
|
|
|
|
|
|
420
|
|
|
|
|
|
|
=head1 EXPORT |
|
421
|
|
|
|
|
|
|
|
|
422
|
|
|
|
|
|
|
A list of functions that can be exported. You can delete this section |
|
423
|
|
|
|
|
|
|
if you don't export anything, such as for a purely object-oriented module. |
|
424
|
|
|
|
|
|
|
|
|
425
|
|
|
|
|
|
|
=head1 SUBROUTINES/METHODS |
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426
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|
427
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=head2 calc_new_deltas |
|
428
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429
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=head2 calc_new_endpoints |
|
430
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431
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|
=head2 calc_new_nodulation |
|
432
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433
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=head2 create_branch |
|
434
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435
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=head2 create_branches |
|
436
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437
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=head2 create_branches_recursive |
|
438
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439
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=head2 create_path |
|
440
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441
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=head2 create_stem |
|
442
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443
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=head2 create_tree |
|
444
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445
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=head2 make_branch |
|
446
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447
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=head1 AUTHOR |
|
448
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|
449
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|
Tamir Lousky, C<< <tlousky at cpan.org> >> |
|
450
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451
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|
=head1 BUGS |
|
452
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|
453
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|
Please report any bugs or feature requests to C<bug-algorithm-shape-randomtree at rt.cpan.org>, or through |
|
454
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|
the web interface at L<http://rt.cpan.org/NoAuth/ReportBug.html?Queue=Algorithm-Shape-RandomTree>. I will be notified, and then you'll |
|
455
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|
automatically be notified of progress on your bug as I make changes. |
|
456
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457
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|
=head1 SUPPORT |
|
458
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459
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|
You can find documentation for this module with the perldoc command. |
|
460
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461
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|
perldoc Algorithm::Shape::RandomTree |
|
462
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463
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464
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|
You can also look for information at: |
|
465
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|
466
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|
=over 4 |
|
467
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|
468
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|
=item * RT: CPAN's request tracker |
|
469
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|
470
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|
L<http://rt.cpan.org/NoAuth/Bugs.html?Dist=Algorithm-Shape-RandomTree> |
|
471
|
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|
472
|
|
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|
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|
|
=item * AnnoCPAN: Annotated CPAN documentation |
|
473
|
|
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|
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|
474
|
|
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|
L<http://annocpan.org/dist/Algorithm-Shape-RandomTree> |
|
475
|
|
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|
476
|
|
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|
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|
|
=item * CPAN Ratings |
|
477
|
|
|
|
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|
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|
478
|
|
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|
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|
L<http://cpanratings.perl.org/d/Algorithm-Shape-RandomTree> |
|
479
|
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|
480
|
|
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|
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|
|
=item * Search CPAN |
|
481
|
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|
482
|
|
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|
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|
L<http://search.cpan.org/dist/Algorithm-Shape-RandomTree/> |
|
483
|
|
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|
484
|
|
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|
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|
=back |
|
485
|
|
|
|
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|
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|
486
|
|
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|
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|
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|
|
487
|
|
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|
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|
|
=head1 ACKNOWLEDGEMENTS |
|
488
|
|
|
|
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|
|
|
489
|
|
|
|
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|
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|
|
490
|
|
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|
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|
|
=head1 LICENSE AND COPYRIGHT |
|
491
|
|
|
|
|
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|
|
|
492
|
|
|
|
|
|
|
Copyright 2010 Tamir Lousky. |
|
493
|
|
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|
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|
494
|
|
|
|
|
|
|
This program is free software; you can redistribute it and/or modify it |
|
495
|
|
|
|
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|
|
under the terms of either: the GNU General Public License as published |
|
496
|
|
|
|
|
|
|
by the Free Software Foundation; or the Artistic License. |
|
497
|
|
|
|
|
|
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|
498
|
|
|
|
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|
|
See http://dev.perl.org/licenses/ for more information. |