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package Bio::Phylo::Generator; |
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use strict; |
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use warnings; |
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use Bio::Phylo::Util::CONSTANT 'looks_like_hash'; |
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use Bio::Phylo::Util::Exceptions 'throw'; |
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use Bio::Phylo::Util::Logger; |
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use Bio::Phylo::Util::Dependency 'Math::Random'; |
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use Bio::Phylo::Factory; |
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Math::Random->import(qw'random_exponential random_uniform'); |
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{ |
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my $logger = Bio::Phylo::Util::Logger->new; |
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my $factory = Bio::Phylo::Factory->new; |
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=head1 NAME |
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Bio::Phylo::Generator - Generator of tree topologies |
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=head1 SYNOPSIS |
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use Bio::Phylo::Factory; |
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my $fac = Bio::Phylo::Factory->new; |
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my $gen = $fac->create_generator; |
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my $trees = $gen->gen_rand_pure_birth( |
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'-tips' => 10, |
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'-model' => 'yule', |
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'-trees' => 10, |
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); |
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29
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# prints 'Bio::Phylo::Forest' |
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print ref $trees; |
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=head1 DESCRIPTION |
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The generator module is used to simulate trees under various models. |
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=head1 METHODS |
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=head2 CONSTRUCTOR |
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=over |
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42
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=item new() |
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44
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Generator constructor. |
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46
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Type : Constructor |
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Title : new |
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Usage : my $gen = Bio::Phylo::Generator->new; |
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Function: Initializes a Bio::Phylo::Generator object. |
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Returns : A Bio::Phylo::Generator object. |
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Args : NONE |
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53
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=cut |
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55
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sub new { |
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57
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# could be child class |
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1
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my $class = shift; |
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60
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# notify user |
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1
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$logger->info("constructor called for '$class'"); |
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63
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# the object turns out to be stateless |
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1
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2
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my $self = bless \$class, $class; |
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1
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6
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return $self; |
66
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} |
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68
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=back |
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70
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=head2 GENERATOR |
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72
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=over |
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74
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=item gen_rand_pure_birth() |
75
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76
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This method generates a Bio::Phylo::Forest |
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object populated with Yule/Hey trees. |
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79
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Type : Generator |
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Title : gen_rand_pure_birth |
81
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Usage : my $trees = $gen->gen_rand_pure_birth( |
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'-tips' => 10, |
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'-model' => 'yule', |
84
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'-trees' => 10, |
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); |
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Function: Generates markov tree shapes, |
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with branch lengths sampled |
88
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from a user defined model of |
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clade growth, for a user defined |
90
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number of tips. |
91
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Returns : A Bio::Phylo::Forest object. |
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Args : -tips => number of terminal nodes (default: 10), |
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-model => either 'yule' or 'hey', |
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-trees => number of trees to generate (default: 10) |
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Optional: -factory => a Bio::Phylo::Factory object |
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97
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=cut |
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99
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sub _yule_rand_bl { |
100
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43
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43
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62
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my $i = shift; |
101
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43
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133
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return random_exponential( 1, 1 / ( $i + 1 ) ); |
102
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} |
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104
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sub _hey_rand_bl { |
105
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19
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30
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my $i = shift; |
106
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19
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62
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random_exponential( 1, ( 1 / ( $i * ( $i + 1 ) ) ) ); |
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} |
108
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109
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sub _make_split { |
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100
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100
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253
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my ( $parent, $length, $fac, $nodes ) = @_; |
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100
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120
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my @tips; |
112
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100
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209
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for ( 1 .. 2 ) { |
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200
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924
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my $node = $fac->create_node; |
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200
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645
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$node->set_branch_length($length); |
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200
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494
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$node->set_parent($parent); |
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200
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410
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$nodes->{ $node->get_id } = $node; |
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200
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432
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push @tips, $node; |
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} |
119
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100
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224
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return @tips; |
120
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} |
121
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122
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sub gen_rand_pure_birth { |
123
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3
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3
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1
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18
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my $random = shift; |
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3
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16
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my %options = looks_like_hash @_; |
125
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3
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9
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my $model = $options{'-model'}; |
126
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3
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100
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if ( $model =~ m/yule/i ) { |
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100
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127
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1
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3
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return $random->_gen_pure_birth( |
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'-blgen' => \&_yule_rand_bl, |
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@_, |
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); |
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} |
132
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elsif ( $model =~ m/hey/i ) { |
133
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1
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7
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return $random->_gen_pure_birth( |
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'-blgen' => \&_hey_rand_bl, |
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@_, |
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); |
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} |
138
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else { |
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1
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5
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throw 'BadFormat' => "model '$model' not implemented"; |
140
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} |
141
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} |
142
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143
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sub _gen_pure_birth { |
144
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5
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5
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10
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my $random = shift; |
145
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5
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23
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my %options = looks_like_hash @_; |
146
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5
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33
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30
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my $factory = $options{'-factory'} || $factory; |
147
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5
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12
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my $blgen = $options{'-blgen'}; |
148
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5
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100
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17
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my $killrate = $options{'-killrate'} || 0; |
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5
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50
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13
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my $ntips = $options{'-tips'} || 10; |
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5
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50
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my $ntrees = $options{'-trees'} || 10; |
151
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5
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38
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my $forest = $factory->create_forest; |
152
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5
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18
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for ( 0 .. ( $ntrees - 1 ) ) { |
153
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154
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# instantiate root node |
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5
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32
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my $root = $factory->create_node; |
156
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5
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23
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$root->set_branch_length(0); |
157
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5
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17
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my %nodes = ( $root->get_id => $root ); |
158
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159
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# make the first split, insert new tips in @tips, from |
160
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# which we will draw (without replacement) a new tip |
161
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# to split until we've reached target number |
162
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5
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22
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push my @tips, _make_split( $root, $blgen->(1), $factory, \%nodes ); |
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164
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# start growing the tree |
165
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5
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10
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my $i = 2; |
166
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5
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9
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my @extinct; |
167
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5
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13
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while (1) { |
168
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95
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100
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269
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if ( rand(1) < $killrate ) { |
169
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5
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14
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my $extinct_index = int rand scalar @tips; |
170
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5
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10
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my $extinct = splice @tips, $extinct_index, 1; |
171
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5
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11
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push @extinct, $extinct; |
172
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5
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13
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delete $nodes{ $extinct->get_id }; |
173
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} |
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175
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# obtain candidate parent of current split |
176
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95
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115
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my $parent; |
177
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95
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204
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( $parent, @tips ) = _fetch_equiprobable(@tips); |
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179
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# generate branch length |
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95
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225
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my $bl = $blgen->( $i++ ); |
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182
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# stretch all remaining tips to the present |
183
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95
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744
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for my $tip (@tips) { |
184
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920
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1663
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my $oldbl = $tip->get_branch_length; |
185
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920
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1889
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$tip->set_branch_length( $oldbl + $bl ); |
186
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} |
187
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188
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# add new nodes to tips array |
189
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95
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210
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push @tips, _make_split( $parent, $bl, $factory, \%nodes ); |
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95
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100
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233
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last if scalar @tips >= $ntips; |
191
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} |
192
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5
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34
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my $tree = $factory->create_tree; |
193
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$tree->insert( |
194
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200
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239
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map { $_->[0] } |
195
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830
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896
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sort { $a->[1] <=> $b->[1] } |
196
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5
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26
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map { [ $_, $_->get_id ] } values %nodes |
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200
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343
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197
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); |
198
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5
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83
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$tree->prune_tips( \@extinct ); |
199
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5
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37
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$tree->_analyze; |
200
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5
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48
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$forest->insert($tree); |
201
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} |
202
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5
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44
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return $forest; |
203
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} |
204
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205
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=item gen_rand_birth_death() |
206
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207
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This method generates a Bio::Phylo::Forest |
208
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object populated under a birth/death model |
209
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210
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Type : Generator |
211
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Title : gen_rand_birth_death |
212
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Usage : my $trees = $gen->gen_rand_birth_death( |
213
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'-tips' => 10, |
214
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'-killrate' => 0.2, |
215
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'-trees' => 10, |
216
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); |
217
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Function: Generates trees where any growing lineage is equally |
218
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likely to split at any one time, and is equally likely |
219
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to go extinct at '-killrate' |
220
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Returns : A Bio::Phylo::Forest object. |
221
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Args : -tips => number of terminal nodes (default: 10), |
222
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-killrate => extinction over speciation rate (default: 0.2) |
223
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-trees => number of trees to generate (default: 10) |
224
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Optional: -factory => a Bio::Phylo::Factory object |
225
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Comments: Past extinction events are retained as unbranched internal |
226
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nodes in the produced trees. |
227
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228
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=cut |
229
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230
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sub gen_rand_birth_death { |
231
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1
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1
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1
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12
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my $random = shift; |
232
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1
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7
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my %options = looks_like_hash @_; |
233
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return $random->_gen_pure_birth( |
234
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'-blgen' => \&_yule_rand_bl, |
235
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1
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50
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11
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'-killrate' => $options{'-killrate'} || 0.2, |
236
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@_, |
237
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); |
238
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} |
239
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240
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=item gen_exp_pure_birth() |
241
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242
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This method generates a Bio::Phylo::Forest object |
243
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populated with Yule/Hey trees whose branch lengths |
244
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are proportional to the expected waiting times (i.e. |
245
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not sampled from a distribution). |
246
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247
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Type : Generator |
248
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Title : gen_exp_pure_birth |
249
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Usage : my $trees = $gen->gen_exp_pure_birth( |
250
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'-tips' => 10, |
251
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'-model' => 'yule', |
252
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'-trees' => 10, |
253
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); |
254
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|
Function: Generates markov tree shapes, |
255
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with branch lengths following |
256
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|
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|
|
the expectation under a user |
257
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|
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|
|
defined model of clade growth, |
258
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|
|
for a user defined number of tips. |
259
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|
|
Returns : A Bio::Phylo::Forest object. |
260
|
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|
|
|
|
Args : -tips => number of terminal nodes (default: 10), |
261
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|
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|
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|
|
-model => either 'yule' or 'hey' |
262
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|
|
-trees => number of trees to generate (default: 10) |
263
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|
|
Optional: -factory => a Bio::Phylo::Factory object |
264
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|
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|
265
|
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|
=cut |
266
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267
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|
sub _yule_exp_bl { |
268
|
19
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19
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|
25
|
my $i = shift; |
269
|
19
|
|
|
|
|
43
|
return 1 / ( $i + 1 ); |
270
|
|
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|
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|
|
} |
271
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|
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|
272
|
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|
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|
|
sub _hey_exp_bl { |
273
|
19
|
|
|
19
|
|
27
|
my $i = shift; |
274
|
19
|
|
|
|
|
41
|
return 1 / ( $i * ( $i + 1 ) ); |
275
|
|
|
|
|
|
|
} |
276
|
|
|
|
|
|
|
|
277
|
|
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|
|
|
|
sub gen_exp_pure_birth { |
278
|
3
|
|
|
3
|
1
|
28
|
my $random = shift; |
279
|
3
|
|
|
|
|
15
|
my %options = looks_like_hash @_; |
280
|
3
|
|
|
|
|
11
|
my $model = $options{'-model'}; |
281
|
3
|
100
|
|
|
|
19
|
if ( $model =~ m/yule/i ) { |
|
|
100
|
|
|
|
|
|
282
|
1
|
|
|
|
|
7
|
return $random->_gen_pure_birth( |
283
|
|
|
|
|
|
|
'-blgen' => \&_yule_exp_bl, |
284
|
|
|
|
|
|
|
@_, |
285
|
|
|
|
|
|
|
); |
286
|
|
|
|
|
|
|
} |
287
|
|
|
|
|
|
|
elsif ( $model =~ m/hey/i ) { |
288
|
1
|
|
|
|
|
6
|
return $random->_gen_pure_birth( |
289
|
|
|
|
|
|
|
'-blgen' => \&_hey_exp_bl, |
290
|
|
|
|
|
|
|
@_, |
291
|
|
|
|
|
|
|
); |
292
|
|
|
|
|
|
|
} |
293
|
|
|
|
|
|
|
else { |
294
|
1
|
|
|
|
|
7
|
throw 'BadFormat' => "model '$model' not implemented"; |
295
|
|
|
|
|
|
|
} |
296
|
|
|
|
|
|
|
} |
297
|
|
|
|
|
|
|
|
298
|
|
|
|
|
|
|
=item gen_coalescent() |
299
|
|
|
|
|
|
|
|
300
|
|
|
|
|
|
|
This method generates coalescent trees for a given effective population size |
301
|
|
|
|
|
|
|
(popsize) and number of alleles (tips) such that the probability of coalescence |
302
|
|
|
|
|
|
|
in the previous generation for any pair of alleles is 1 / ( 2 * popsize ). |
303
|
|
|
|
|
|
|
|
304
|
|
|
|
|
|
|
Type : Generator |
305
|
|
|
|
|
|
|
Title : gen_coalescent |
306
|
|
|
|
|
|
|
Usage : my $trees = $gen->gen_coalescent( |
307
|
|
|
|
|
|
|
'-tips' => 10, |
308
|
|
|
|
|
|
|
'-popsize' => 100, |
309
|
|
|
|
|
|
|
'-trees' => 10, |
310
|
|
|
|
|
|
|
); |
311
|
|
|
|
|
|
|
Function: Generates coalescent trees. |
312
|
|
|
|
|
|
|
Returns : A Bio::Phylo::Forest object. |
313
|
|
|
|
|
|
|
Args : -tips => number of terminal nodes (default: 10) |
314
|
|
|
|
|
|
|
-popsize => effective population size (default: 100) |
315
|
|
|
|
|
|
|
-trees => number of trees to generate (default: 10) |
316
|
|
|
|
|
|
|
Optional: -factory => a Bio::Phylo::Factory object |
317
|
|
|
|
|
|
|
|
318
|
|
|
|
|
|
|
=cut |
319
|
|
|
|
|
|
|
|
320
|
|
|
|
|
|
|
sub gen_coalescent { |
321
|
1
|
|
|
1
|
1
|
9
|
my $self = shift; |
322
|
1
|
|
|
|
|
8
|
my %args = looks_like_hash @_; |
323
|
1
|
|
50
|
|
|
8
|
my $popsize = $args{'-popsize'} || 100; |
324
|
1
|
|
50
|
|
|
4
|
my $ntips = $args{'-tips'} || 10; |
325
|
1
|
|
50
|
|
|
4
|
my $ntrees = $args{'-trees'} || 10; |
326
|
1
|
|
33
|
|
|
6
|
my $factory = $args{'-factory'} || $factory; |
327
|
1
|
|
|
|
|
8
|
my $forest = $factory->create_forest; |
328
|
1
|
|
|
|
|
3
|
my $cutoff = 1 / ( 2 * $popsize ); |
329
|
1
|
|
|
|
|
4
|
for my $i ( 1 .. $ntrees ) { |
330
|
1
|
|
|
|
|
4
|
my $ngen = 1; |
331
|
1
|
|
|
|
|
2
|
my ( @tips, @nodes ); |
332
|
1
|
|
|
|
|
7
|
push @tips, $factory->create_node() for 1 .. $ntips; |
333
|
|
|
|
|
|
|
|
334
|
|
|
|
|
|
|
# starting from a pool of all tips, we iterate over all |
335
|
|
|
|
|
|
|
# possible pairs, and for each pair we test to see if |
336
|
|
|
|
|
|
|
# the coalesce at generation $ngen, at probability |
337
|
|
|
|
|
|
|
# 1/2N. When they do, we create a parent for the pair, |
338
|
|
|
|
|
|
|
# take the pair out of the pool and put the parent in it |
339
|
1
|
|
|
|
|
5
|
while ( scalar @tips > 1 ) { |
340
|
281
|
|
|
|
|
313
|
my $poolsize = $#tips; |
341
|
281
|
|
|
|
|
288
|
my $j = 0; |
342
|
281
|
|
|
|
|
385
|
while ( $j < $poolsize ) { |
343
|
1138
|
|
|
|
|
1224
|
my $k = $j + 1; |
344
|
1138
|
|
|
|
|
1502
|
while ( $k <= $poolsize ) { |
345
|
3927
|
|
|
|
|
5178
|
my $rand = random_uniform(); |
346
|
3927
|
100
|
|
|
|
11924
|
if ( $rand <= $cutoff ) { |
347
|
19
|
|
|
|
|
33
|
my $tip2 = splice @tips, $k, 1; |
348
|
19
|
|
|
|
|
28
|
my $tip1 = splice @tips, $j, 1; |
349
|
19
|
|
|
|
|
108
|
my $parent = $factory->create_node( |
350
|
|
|
|
|
|
|
'-generic' => { 'age' => $ngen } ); |
351
|
19
|
|
|
|
|
64
|
unshift @nodes, |
352
|
|
|
|
|
|
|
$tip1->set_parent($parent), |
353
|
|
|
|
|
|
|
$tip2->set_parent($parent); |
354
|
19
|
|
|
|
|
34
|
push @tips, $parent; |
355
|
19
|
|
|
|
|
26
|
$poolsize--; |
356
|
|
|
|
|
|
|
} |
357
|
3927
|
|
|
|
|
5409
|
$k++; |
358
|
|
|
|
|
|
|
} |
359
|
1138
|
|
|
|
|
1531
|
$j++; |
360
|
|
|
|
|
|
|
} |
361
|
281
|
|
|
|
|
397
|
$ngen++; |
362
|
|
|
|
|
|
|
} |
363
|
1
|
|
|
|
|
2
|
push @nodes, shift @tips; |
364
|
1
|
|
|
|
|
6
|
my $tree = $factory->create_tree()->insert(@nodes); |
365
|
1
|
|
|
|
|
15
|
$tree->agetobl; |
366
|
1
|
|
|
|
|
5
|
$forest->insert($tree); |
367
|
|
|
|
|
|
|
} |
368
|
1
|
|
|
|
|
5
|
return $forest; |
369
|
|
|
|
|
|
|
} |
370
|
|
|
|
|
|
|
|
371
|
|
|
|
|
|
|
=item gen_equiprobable() |
372
|
|
|
|
|
|
|
|
373
|
|
|
|
|
|
|
This method draws tree shapes at random, |
374
|
|
|
|
|
|
|
such that all shapes are equally probable. |
375
|
|
|
|
|
|
|
|
376
|
|
|
|
|
|
|
Type : Generator |
377
|
|
|
|
|
|
|
Title : gen_equiprobable |
378
|
|
|
|
|
|
|
Usage : my $trees = $gen->gen_equiprobable( '-tips' => 10 ); |
379
|
|
|
|
|
|
|
Function: Generates an equiprobable tree |
380
|
|
|
|
|
|
|
shape, with branch lengths = 1; |
381
|
|
|
|
|
|
|
Returns : A Bio::Phylo::Forest object. |
382
|
|
|
|
|
|
|
Args : Optional: -tips => number of terminal nodes (default: 10), |
383
|
|
|
|
|
|
|
Optional: -trees => number of trees to generate (default: 1), |
384
|
|
|
|
|
|
|
Optional: -factory => a Bio::Phylo::Factory object |
385
|
|
|
|
|
|
|
|
386
|
|
|
|
|
|
|
=cut |
387
|
|
|
|
|
|
|
|
388
|
|
|
|
|
|
|
sub _fetch_equiprobable { |
389
|
133
|
|
|
133
|
|
277
|
my @tips = @_; |
390
|
133
|
|
|
|
|
288
|
my $tip_index = int rand scalar @tips; |
391
|
133
|
|
|
|
|
205
|
my $tip = splice @tips, $tip_index, 1; |
392
|
133
|
|
|
|
|
391
|
return $tip, @tips; |
393
|
|
|
|
|
|
|
} |
394
|
|
|
|
|
|
|
|
395
|
|
|
|
|
|
|
sub _fetch_balanced { |
396
|
30
|
|
|
30
|
|
63
|
return @_; |
397
|
|
|
|
|
|
|
} |
398
|
|
|
|
|
|
|
|
399
|
|
|
|
|
|
|
sub _fetch_ladder { |
400
|
30
|
|
|
30
|
|
218
|
my $tip = pop; |
401
|
30
|
|
|
|
|
73
|
return $tip, @_; |
402
|
|
|
|
|
|
|
} |
403
|
|
|
|
|
|
|
|
404
|
|
|
|
|
|
|
sub _gen_simple { |
405
|
3
|
|
|
3
|
|
6
|
my $random = shift; |
406
|
3
|
|
|
|
|
13
|
my %options = looks_like_hash @_; |
407
|
3
|
|
|
|
|
8
|
my $fetcher = $options{'-fetcher'}; |
408
|
3
|
|
33
|
|
|
18
|
my $factory = $options{'-factory'} || $factory; |
409
|
3
|
|
50
|
|
|
11
|
my $ntrees = $options{'-trees'} || 1; |
410
|
3
|
|
50
|
|
|
11
|
my $ntips = $options{'-tips'} || 10; |
411
|
3
|
|
|
|
|
23
|
my $forest = $factory->create_forest; |
412
|
3
|
|
|
|
|
11
|
for my $i ( 1 .. $ntrees ) { |
413
|
3
|
|
|
|
|
15
|
my $tree = $factory->create_tree; |
414
|
3
|
|
|
|
|
8
|
my ( @tips, @nodes ); |
415
|
|
|
|
|
|
|
|
416
|
|
|
|
|
|
|
# each iteration, we will remove two "tips" from this |
417
|
|
|
|
|
|
|
# and add their newly created parent to it |
418
|
|
|
|
|
|
|
push @tips, $factory->create_node( '-branch_length' => 1, ) |
419
|
3
|
|
|
|
|
25
|
for ( 1 .. $ntips ); |
420
|
|
|
|
|
|
|
|
421
|
|
|
|
|
|
|
# this stays above 0 because the root ends up in it |
422
|
3
|
|
|
|
|
10
|
while ( @tips > 1 ) { |
423
|
49
|
|
|
|
|
252
|
my $parent = $factory->create_node( '-branch_length' => 1, ); |
424
|
49
|
|
|
|
|
159
|
$tree->insert($parent); |
425
|
49
|
|
|
|
|
94
|
for ( 1 .. 2 ) { |
426
|
98
|
|
|
|
|
121
|
my $tip; |
427
|
98
|
|
|
|
|
174
|
( $tip, @tips ) = $fetcher->(@tips); |
428
|
98
|
|
|
|
|
237
|
$tree->insert( $tip->set_parent($parent) ); |
429
|
|
|
|
|
|
|
} |
430
|
|
|
|
|
|
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431
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# the parent becomes a new candidate tip |
432
|
49
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115
|
push @tips, $parent; |
433
|
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|
} |
434
|
3
|
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|
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14
|
$forest->insert($tree); |
435
|
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|
} |
436
|
3
|
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|
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17
|
return $forest; |
437
|
|
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|
} |
438
|
|
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439
|
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|
|
sub gen_equiprobable { |
440
|
1
|
|
|
1
|
1
|
17
|
return _gen_simple( @_, '-fetcher' => \&_fetch_equiprobable ); |
441
|
|
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|
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|
|
} |
442
|
|
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443
|
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|
|
=item gen_balanced() |
444
|
|
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445
|
|
|
|
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|
|
This method creates the most balanced topology possible given the number of tips |
446
|
|
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|
|
447
|
|
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|
|
|
|
Type : Generator |
448
|
|
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|
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|
|
Title : gen_balanced |
449
|
|
|
|
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|
|
Usage : my $trees = $gen->gen_balanced( '-tips' => 10 ); |
450
|
|
|
|
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|
|
Function: Generates the most balanced topology |
451
|
|
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|
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|
|
possible, with branch lengths = 1; |
452
|
|
|
|
|
|
|
Returns : A Bio::Phylo::Forest object. |
453
|
|
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|
|
|
|
Args : Optional: -tips => number of terminal nodes (default: 10), |
454
|
|
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|
|
|
|
Optional: -trees => number of trees to generate (default: 1), |
455
|
|
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|
|
Optional: -factory => a Bio::Phylo::Factory object |
456
|
|
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|
|
457
|
|
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|
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|
|
=cut |
458
|
|
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|
|
|
|
|
459
|
|
|
|
|
|
|
sub gen_balanced { |
460
|
1
|
|
|
1
|
1
|
14
|
return _gen_simple( @_, '-fetcher' => \&_fetch_balanced ); |
461
|
|
|
|
|
|
|
} |
462
|
|
|
|
|
|
|
|
463
|
|
|
|
|
|
|
=item gen_ladder() |
464
|
|
|
|
|
|
|
|
465
|
|
|
|
|
|
|
This method creates a ladder tree for the number of tips |
466
|
|
|
|
|
|
|
|
467
|
|
|
|
|
|
|
Type : Generator |
468
|
|
|
|
|
|
|
Title : gen_ladder |
469
|
|
|
|
|
|
|
Usage : my $trees = $gen->gen_ladder( '-tips' => 10 ); |
470
|
|
|
|
|
|
|
Function: Generates the least balanced topology |
471
|
|
|
|
|
|
|
(a ladder), with branch lengths = 1; |
472
|
|
|
|
|
|
|
Returns : A Bio::Phylo::Forest object. |
473
|
|
|
|
|
|
|
Args : Optional: -tips => number of terminal nodes (default: 10), |
474
|
|
|
|
|
|
|
Optional: -trees => number of trees to generate (default: 1), |
475
|
|
|
|
|
|
|
Optional: -factory => a Bio::Phylo::Factory object |
476
|
|
|
|
|
|
|
|
477
|
|
|
|
|
|
|
=cut |
478
|
|
|
|
|
|
|
|
479
|
|
|
|
|
|
|
sub gen_ladder { |
480
|
1
|
|
|
1
|
1
|
14
|
return _gen_simple( @_, '-fetcher' => \&_fetch_ladder ); |
481
|
|
|
|
|
|
|
} |
482
|
|
|
|
|
|
|
|
483
|
|
|
|
|
|
|
=back |
484
|
|
|
|
|
|
|
|
485
|
|
|
|
|
|
|
=head1 SEE ALSO |
486
|
|
|
|
|
|
|
|
487
|
|
|
|
|
|
|
There is a mailing list at L<https://groups.google.com/forum/#!forum/bio-phylo> |
488
|
|
|
|
|
|
|
for any user or developer questions and discussions. |
489
|
|
|
|
|
|
|
|
490
|
|
|
|
|
|
|
=over |
491
|
|
|
|
|
|
|
|
492
|
|
|
|
|
|
|
=item L<Bio::Phylo::Manual> |
493
|
|
|
|
|
|
|
|
494
|
|
|
|
|
|
|
Also see the manual: L<Bio::Phylo::Manual> and L<http://rutgervos.blogspot.com>. |
495
|
|
|
|
|
|
|
|
496
|
|
|
|
|
|
|
=back |
497
|
|
|
|
|
|
|
|
498
|
|
|
|
|
|
|
=head1 CITATION |
499
|
|
|
|
|
|
|
|
500
|
|
|
|
|
|
|
If you use Bio::Phylo in published research, please cite it: |
501
|
|
|
|
|
|
|
|
502
|
|
|
|
|
|
|
B<Rutger A Vos>, B<Jason Caravas>, B<Klaas Hartmann>, B<Mark A Jensen> |
503
|
|
|
|
|
|
|
and B<Chase Miller>, 2011. Bio::Phylo - phyloinformatic analysis using Perl. |
504
|
|
|
|
|
|
|
I<BMC Bioinformatics> B<12>:63. |
505
|
|
|
|
|
|
|
L<http://dx.doi.org/10.1186/1471-2105-12-63> |
506
|
|
|
|
|
|
|
|
507
|
|
|
|
|
|
|
=cut |
508
|
|
|
|
|
|
|
|
509
|
|
|
|
|
|
|
} |
510
|
|
|
|
|
|
|
1; |