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package Boost::Graph; |
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# Dev release version numbering ends in a _xxx suffix, and is evaled to a number. |
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# See perldoc perlmodstyle for explanation. |
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our $VERSION = '1.4_001'; |
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our $XS_VERSION = $VERSION; |
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$VERSION = eval $VERSION; |
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##################################################################################### |
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# Graph.pm |
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# David Burdick, 11/08/2004 |
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# |
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# The main module for the Perl Boost interface |
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##################################################################################### |
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use strict; |
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use Boost::Graph::Directed; |
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use Boost::Graph::Undirected; |
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#______________________________________________________________________________________________________________ |
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### Variables |
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# |
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# net_id - unique identifier for network |
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# net_name - name of the network |
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# _edges - a hash of hashes. First key is first node, second key is second node. |
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# _nodes - a hash where keys are the the node objects, value is the node_id |
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# _nodes_lookup - a hash where keys are the unique id for nodes, value is actual object |
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# _nodecount - the number of nodes in the network |
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# _edgecount - the number of edges in the network |
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# _node_neighbors - hash on node id, stores a hash whose keys are node ids of its neighbors |
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# |
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#______________________________________________________________________________________________________________ |
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### ALGORITHMS |
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## C++ |
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# breadth_first_search($start_node) |
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# depth_first_search($start_node) |
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# |
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## Perl |
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# transitive_links($nodes) - receives a listref of nodes and returns a listref of nodes that are (disjoint |
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# from the input set) transitive connectors of the input set in the current network. |
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# The transitive distance is limited to one node. (i.e. given a and c as input, and |
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# with edges a-b and b-c, then node b will be returned) |
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#______________________________________________________________________________________________________________ |
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sub new { |
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1
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my $this = shift; |
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my %args = @_; |
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my $class = ref($this) || $this; |
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my $self = {}; |
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$self->{_nodecount} = 0; |
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$self->{_edgecount} = 0; |
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100
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if($args{'directed'}) { # connect to C++ libraries |
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$self->{_directed} = 1; |
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$self->{_bgi} = new Boost::Graph::Directed; |
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} else { |
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$self->{_directed} = 0; |
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$self->{_bgi} = new Boost::Graph::Undirected; |
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} |
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$self->{net_name} = $args{net_name} if $args{net_name}; |
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$self->{net_id} = $args{net_id} if $args{net_id}; |
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30
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bless $self, $class; |
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74
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return($self); |
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} |
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#______________________________________________________________________________________________________________ |
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sub add_edge { |
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90
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90
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1
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my ($self, %args) = @_; |
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91
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my ($node1, $node2); |
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# check for simple edge add |
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100
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149
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if(@_ == 3) { |
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$node1=$_[1]; |
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$node2=$_[2]; |
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} else { |
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551
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return unless $args{node1} && $args{node2}; |
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$node1=$args{node1}; |
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$node2=$args{node2}; |
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} |
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77
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101
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my $weight = $args{weight}; |
79
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90
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90
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my $edge_obj = $args{edge}; |
80
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90
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100
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153
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$weight or $weight=1.0; |
81
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90
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100
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144
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$edge_obj or $edge_obj=1; |
82
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83
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# add nodes/get node_id |
84
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90
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157
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my $node1_id = $self->_get_node_id($node1); |
85
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90
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162
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my $node2_id = $self->_get_node_id($node2); |
86
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90
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50
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33
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572
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return undef if $node1_id==0 || $node2_id==0; # problem! |
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# check for duplicate edge |
88
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90
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100
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159
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return 0 if $self->has_edge($node1,$node2); |
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90
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# add neighbors |
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88
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199
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$self->{_node_neighbors}->{$node1_id}->{$node2_id} = 1; |
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150
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$self->{_node_neighbors}->{$node2_id}->{$node1_id} = 1; |
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# add parents |
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88
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149
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$self->{_node_parents}->{$node2_id}->{$node1_id} = 1; |
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# store edge and edge_object |
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88
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100
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100
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211
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if($node1_id < $node2_id || $self->{_directed}) { |
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78
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151
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$self->{_edges}->{$node1_id}->{$node2_id} = $edge_obj; |
98
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} else { |
99
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10
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20
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$self->{_edges}->{$node2_id}->{$node1_id} = $edge_obj; |
100
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} |
101
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88
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99
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$self->{_edgecount}++; |
102
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88
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728
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$self->{_bgi}->_addEdge($node1_id,$node2_id,$weight); # C++ |
103
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88
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342
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return 1; |
104
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} |
105
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#______________________________________________________________________________________________________________ |
106
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sub add_node { |
107
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2
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2
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1
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846
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my ($self, $node) = @_; |
108
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2
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4
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my $isnew = $self->{_nodecount}+1; |
109
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2
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5
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my $node_id = $self->_get_node_id($node); |
110
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2
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100
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6
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if($isnew == $node_id) { |
111
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1
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82
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$self->{_bgi}->_addNode($node_id); # C++ |
112
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1
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3
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return 1; |
113
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} else { |
114
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1
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3
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return 0; |
115
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} |
116
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} |
117
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#______________________________________________________________________________________________________________ |
118
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sub get_edge { |
119
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0
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0
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0
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0
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my ($self,$source,$sink) = @_; |
120
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0
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0
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my @edges; |
121
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0
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0
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my $source_id = $self->_get_node_id($source); |
122
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0
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0
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my $sink_id = $self->_get_node_id($sink); |
123
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0
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0
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my $a = $self->{_nodes_lookup}->{$source_id}; |
124
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0
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0
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my $b = $self->{_nodes_lookup}->{$sink_id}; |
125
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0
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0
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return [$a, $b, $self->{_edges}->{$source_id}->{$sink_id}]; |
126
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} |
127
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#______________________________________________________________________________________________________________ |
128
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sub get_edges { |
129
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1
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1
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1
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947
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my ($self) = @_; |
130
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1
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1
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my @edges; |
131
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1
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2
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foreach my $source (keys %{$self->{_edges}}) { |
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1
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5
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132
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2
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3
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foreach my $sink (keys %{$self->{_edges}->{$source}}) { |
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2
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6
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133
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3
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7
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my $a = $self->{_nodes_lookup}->{$source}; |
134
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3
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4
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my $b = $self->{_nodes_lookup}->{$sink}; |
135
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3
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12
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push @edges, [$a, $b, $self->{_edges}->{$source}->{$sink}]; |
136
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} |
137
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} |
138
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1
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4
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return \@edges; |
139
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} |
140
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#______________________________________________________________________________________________________________ |
141
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sub get_nodes { |
142
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1
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1
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1
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4
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my ($self) = @_; |
143
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1
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2
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my @nodes = values %{$self->{_nodes_lookup}}; |
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1
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4
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144
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1
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3
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return \@nodes; |
145
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} |
146
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#______________________________________________________________________________________________________________ |
147
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sub has_edge { |
148
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99
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99
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1
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125
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my ($self,$node1,$node2) = @_; |
149
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99
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50
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33
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148
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if($self->has_node($node1) && $self->has_node($node2)) { |
150
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99
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157
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my $node1_id = $self->_get_node_id($node1); |
151
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99
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174
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my $node2_id = $self->_get_node_id($node2); |
152
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99
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50
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33
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361
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return undef if $node1_id==0 || $node2_id==0; # problem! |
153
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# check for duplicate edge being careful not to make empty hashes on the first id. don't check reverse for directed graphs |
154
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99
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100
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100
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352
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if ($self->{_edges}->{$node1_id}) { |
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100
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155
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42
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100
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130
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return 1 if $self->{_edges}->{$node1_id}->{$node2_id}; |
156
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} elsif ($self->{_edges}->{$node2_id} && !$self->{_directed}) { |
157
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5
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50
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12
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return 1 if $self->{_edges}->{$node2_id}->{$node1_id}; |
158
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} |
159
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} |
160
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89
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410
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return undef; |
161
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} |
162
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#______________________________________________________________________________________________________________ |
163
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sub has_node { |
164
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236
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236
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1
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283
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my ($self,$node,$id_name) = @_; |
165
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236
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50
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393
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return undef unless $node; |
166
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236
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50
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304
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if($id_name) { |
167
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0
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0
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foreach my $n (values %{$self->{_nodes_lookup}}) { |
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0
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0
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168
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0
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0
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0
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return 1 if $n->{$id_name} eq $node->{$id_name}; |
169
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} |
170
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} else { |
171
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236
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50
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1321
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return 1 if $self->{_nodes}->{$node}; |
172
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} |
173
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0
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0
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return undef; |
174
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} |
175
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#______________________________________________________________________________________________________________ |
176
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sub neighbors { |
177
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1
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1
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1
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5
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my ($self,$root) = @_; |
178
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1
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4
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my $ids = $self->_neighbors($root); |
179
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1
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2
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my @nodes; |
180
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1
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2
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foreach my $nid (@$ids) { |
181
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2
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5
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push @nodes, $self->{_nodes_lookup}->{$nid}; |
182
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} |
183
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1
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3
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return \@nodes; |
184
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} |
185
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#______________________________________________________________________________________________________________ |
186
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|
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sub children_of_directed { |
187
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10
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10
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1
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789
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my ($self,$source) = @_; |
188
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10
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50
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25
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die "children_of_directed(...) only for directed graphs." unless $self->{_directed}; |
189
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10
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50
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17
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return [] unless $self->has_node($source); |
190
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10
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22
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my $nid = $self->_get_node_id($source); |
191
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|
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# retrieve ids of children and return objects |
192
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10
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100
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28
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if($self->{_edges}->{$nid}) { |
193
|
6
|
|
|
|
|
7
|
my @nodeids = keys %{ $self->{_edges}->{$nid} }; |
|
6
|
|
|
|
|
33
|
|
194
|
6
|
|
|
|
|
8
|
my @node_objs; |
195
|
6
|
|
|
|
|
10
|
foreach my $id (@nodeids) { |
196
|
10
|
|
|
|
|
26
|
push @node_objs, $self->{_nodes_lookup}->{$id}; |
197
|
|
|
|
|
|
|
} |
198
|
6
|
|
|
|
|
20
|
return \@node_objs; |
199
|
|
|
|
|
|
|
} |
200
|
4
|
|
|
|
|
19
|
return []; |
201
|
|
|
|
|
|
|
} |
202
|
|
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|
|
|
|
#______________________________________________________________________________________________________________ |
203
|
|
|
|
|
|
|
sub parents_of_directed { |
204
|
0
|
|
|
0
|
1
|
0
|
my ($self,$source) = @_; |
205
|
0
|
0
|
|
|
|
0
|
die "parents_of_directed(...) only for directed graphs." unless $self->{_directed}; |
206
|
0
|
0
|
|
|
|
0
|
return [] unless $self->has_node($source); |
207
|
0
|
|
|
|
|
0
|
my $nid = $self->_get_node_id($source); |
208
|
|
|
|
|
|
|
# retrieve ids of parents and return objects |
209
|
0
|
0
|
|
|
|
0
|
if($self->{_node_parents}->{$nid}) { |
210
|
0
|
|
|
|
|
0
|
my @nodeids = keys %{ $self->{_node_parents}->{$nid} }; |
|
0
|
|
|
|
|
0
|
|
211
|
0
|
|
|
|
|
0
|
my @node_objs; |
212
|
0
|
|
|
|
|
0
|
foreach my $id (@nodeids) { |
213
|
0
|
|
|
|
|
0
|
push @node_objs, $self->{_nodes_lookup}->{$id}; |
214
|
|
|
|
|
|
|
} |
215
|
0
|
|
|
|
|
0
|
return \@node_objs; |
216
|
|
|
|
|
|
|
} |
217
|
0
|
|
|
|
|
0
|
return []; |
218
|
|
|
|
|
|
|
} |
219
|
|
|
|
|
|
|
#______________________________________________________________________________________________________________ |
220
|
|
|
|
|
|
|
sub nodecount { |
221
|
0
|
|
|
0
|
1
|
0
|
my ($self) = @_; |
222
|
0
|
|
|
|
|
0
|
return $self->{_nodecount}; |
223
|
|
|
|
|
|
|
} |
224
|
|
|
|
|
|
|
#______________________________________________________________________________________________________________ |
225
|
|
|
|
|
|
|
sub edgecount { |
226
|
0
|
|
|
0
|
1
|
0
|
my ($self) = @_; |
227
|
0
|
|
|
|
|
0
|
return $self->{_edgecount}; |
228
|
|
|
|
|
|
|
} |
229
|
|
|
|
|
|
|
#______________________________________________________________________________________________________________ |
230
|
|
|
|
|
|
|
sub add_path { |
231
|
2
|
|
|
2
|
1
|
33
|
my ($self,@path) = @_; |
232
|
2
|
|
|
|
|
8
|
for(my $i=0; $i<@path; $i++) { |
233
|
8
|
100
|
|
|
|
19
|
last if ($i+1)>=@path; |
234
|
6
|
|
|
|
|
17
|
$self->add_edge(node1=>$path[$i],node2=>$path[$i+1]); |
235
|
|
|
|
|
|
|
} |
236
|
2
|
|
|
|
|
5
|
return 1; |
237
|
|
|
|
|
|
|
} |
238
|
|
|
|
|
|
|
#______________________________________________________________________________________________________________ |
239
|
|
|
|
|
|
|
sub has_path { |
240
|
3
|
|
|
3
|
1
|
12
|
my ($self,@path) = @_; |
241
|
3
|
|
|
|
|
12
|
for(my $i=0; $i<@path; $i++) { |
242
|
8
|
100
|
|
|
|
18
|
last if ($i+1)>=@path; |
243
|
6
|
|
|
|
|
14
|
my $has = $self->has_edge($path[$i],$path[$i+1]); |
244
|
6
|
100
|
|
|
|
22
|
return 0 if !$has; |
245
|
|
|
|
|
|
|
} |
246
|
2
|
|
|
|
|
10
|
return 1; |
247
|
|
|
|
|
|
|
} |
248
|
|
|
|
|
|
|
#______________________________________________________________________________________________________________ |
249
|
|
|
|
|
|
|
### Private methods |
250
|
|
|
|
|
|
|
# returns a listref of node ids for the neighbors of the node |
251
|
|
|
|
|
|
|
sub _neighbors { |
252
|
7
|
|
|
7
|
|
10
|
my ($self,$root) = @_; |
253
|
7
|
50
|
|
|
|
13
|
if($self->has_node($root)) { |
254
|
7
|
|
|
|
|
9
|
my @result = keys %{ $self->{_node_neighbors}->{$self->_get_node_id($root)} }; |
|
7
|
|
|
|
|
14
|
|
255
|
7
|
|
|
|
|
18
|
return \@result; |
256
|
|
|
|
|
|
|
} |
257
|
0
|
|
|
|
|
0
|
return undef; |
258
|
|
|
|
|
|
|
} |
259
|
|
|
|
|
|
|
#______________________________________________________________________________________________________________ |
260
|
|
|
|
|
|
|
# returns node's unique id. If node doesn't exist, it is added |
261
|
|
|
|
|
|
|
sub _get_node_id { |
262
|
423
|
|
|
423
|
|
1164
|
my ($self, $node) = @_; |
263
|
423
|
|
|
|
|
349
|
my $node_id; |
264
|
423
|
50
|
|
|
|
655
|
return undef unless $node; |
265
|
423
|
100
|
|
|
|
918
|
if($self->{_nodes}->{$node}) { |
266
|
336
|
|
|
|
|
608
|
$node_id = $self->{_nodes}->{$node}; |
267
|
|
|
|
|
|
|
} else { |
268
|
87
|
|
|
|
|
133
|
$node_id = ++$self->{_nodecount}; |
269
|
87
|
|
|
|
|
188
|
$self->{_nodes}->{$node} = $node_id; |
270
|
87
|
|
|
|
|
172
|
$self->{_nodes_lookup}->{$node_id} = $node; |
271
|
|
|
|
|
|
|
} |
272
|
423
|
|
|
|
|
731
|
return $node_id; |
273
|
|
|
|
|
|
|
} |
274
|
|
|
|
|
|
|
#______________________________________________________________________________________________________________ |
275
|
|
|
|
|
|
|
# takes a listref of node_ids and returns a listref of the actual objects |
276
|
|
|
|
|
|
|
sub _get_node_list { |
277
|
7
|
|
|
7
|
|
13
|
my ($self,$node_order) = @_; |
278
|
7
|
50
|
|
|
|
18
|
return undef unless $node_order; |
279
|
7
|
|
|
|
|
48
|
my @traversed_nodes; |
280
|
7
|
|
|
|
|
19
|
foreach my $nid (@$node_order) { |
281
|
53
|
100
|
|
|
|
292
|
push @traversed_nodes, $self->{_nodes_lookup}->{$nid} if $self->{_nodes_lookup}->{$nid}; |
282
|
|
|
|
|
|
|
} |
283
|
7
|
|
|
|
|
173
|
return \@traversed_nodes; |
284
|
|
|
|
|
|
|
} |
285
|
|
|
|
|
|
|
|
286
|
|
|
|
|
|
|
|
287
|
|
|
|
|
|
|
|
288
|
|
|
|
|
|
|
#______________________________________________________________________________________________________________ |
289
|
|
|
|
|
|
|
### PERL ALGORITHMS |
290
|
|
|
|
|
|
|
# transitive_links($nodes) - receives a listref of nodes and returns a listref of nodes that are (disjoint |
291
|
|
|
|
|
|
|
# from the input set) transitive connectors of the input set in the current network. |
292
|
|
|
|
|
|
|
# The transitive distance is limited to one node. (i.e. given a and c as input, and |
293
|
|
|
|
|
|
|
# with edges a-b and b-c, then node b will be returned) |
294
|
|
|
|
|
|
|
sub transitive_links { |
295
|
1
|
|
|
1
|
1
|
8
|
my ($self,$roots) = @_; |
296
|
1
|
50
|
|
|
|
4
|
return undef unless $roots; |
297
|
1
|
|
|
|
|
1
|
my %rootids; # keys are id's for input nodes |
298
|
|
|
|
|
|
|
my %hotspots; # keys are id's for hotspot nodes in the graph, values are the nodes |
299
|
|
|
|
|
|
|
|
300
|
|
|
|
|
|
|
# get id's for each node that's in the graph (none added) |
301
|
1
|
|
|
|
|
3
|
foreach my $node (@$roots) { |
302
|
3
|
50
|
|
|
|
7
|
$rootids{$self->_get_node_id($node)} = 1 if $self->has_node($node); |
303
|
|
|
|
|
|
|
} |
304
|
|
|
|
|
|
|
# find transitive nodes for each input node |
305
|
1
|
|
|
|
|
5
|
foreach my $nid (keys %rootids) { |
306
|
3
|
|
|
|
|
8
|
my $nbors = $self->_neighbors($self->{_nodes_lookup}->{$nid}); |
307
|
3
|
|
|
|
|
5
|
foreach my $nbor_id (@$nbors) { |
308
|
7
|
100
|
100
|
|
|
31
|
next if $hotspots{$nbor_id} || $rootids{$nbor_id}; # skip node if it's a hotspot already or in the input list |
309
|
3
|
|
|
|
|
9
|
my $oneoff_nbors = $self->_neighbors($self->{_nodes_lookup}->{$nbor_id}); |
310
|
|
|
|
|
|
|
|
311
|
|
|
|
|
|
|
# this node is a hotspot if the neighbors contain a node in the input list that is not the start node |
312
|
|
|
|
|
|
|
# my $num_oons = scalar @{$oneoff_nbors}; |
313
|
3
|
|
|
|
|
6
|
foreach my $oneoff_nbors_id (@$oneoff_nbors) { |
314
|
8
|
100
|
|
|
|
19
|
next if $hotspots{$nbor_id}; |
315
|
|
|
|
|
|
|
# my $oneoff_nbors_id = $oneoff_nbors->[$i]; |
316
|
7
|
100
|
100
|
|
|
43
|
if ($rootids{$oneoff_nbors_id} && $oneoff_nbors_id != $nid) { |
317
|
2
|
|
|
|
|
9
|
$hotspots{$nbor_id} = $self->{_nodes_lookup}->{$nbor_id}; |
318
|
|
|
|
|
|
|
} |
319
|
|
|
|
|
|
|
} |
320
|
|
|
|
|
|
|
} |
321
|
|
|
|
|
|
|
} |
322
|
1
|
|
|
|
|
9
|
my @retlist = values %hotspots; |
323
|
1
|
|
|
|
|
5
|
return \@retlist; |
324
|
|
|
|
|
|
|
} |
325
|
|
|
|
|
|
|
#______________________________________________________________________________________________________________ |
326
|
|
|
|
|
|
|
# Depth First Search with node level information |
327
|
|
|
|
|
|
|
sub depth_first_search_levels { |
328
|
1
|
|
|
1
|
0
|
8415
|
my ($self,$node) = @_; |
329
|
1
|
50
|
33
|
|
|
4
|
return unless $self->has_node($node) && $self->{_directed}; |
330
|
1
|
|
|
|
|
2
|
my @ret; |
331
|
1
|
|
|
|
|
5
|
$self->_depth_first_search_levels(\@ret,$node,0); |
332
|
1
|
|
|
|
|
3
|
return \@ret; |
333
|
|
|
|
|
|
|
} |
334
|
|
|
|
|
|
|
sub _depth_first_search_levels { |
335
|
8
|
|
|
8
|
|
11
|
my ($self,$ret,$node,$depth) = @_; |
336
|
8
|
|
|
|
|
13
|
my %tmp; |
337
|
8
|
|
|
|
|
18
|
$tmp{node} = $node; |
338
|
8
|
|
|
|
|
14
|
$tmp{depth} = $depth; |
339
|
8
|
|
|
|
|
12
|
push @$ret,\%tmp; |
340
|
8
|
|
|
|
|
10
|
foreach my $child (@{$self->children_of_directed($node)}) { |
|
8
|
|
|
|
|
16
|
|
341
|
7
|
|
|
|
|
35
|
$self->_depth_first_search_levels($ret,$child,$depth+1); |
342
|
|
|
|
|
|
|
} |
343
|
|
|
|
|
|
|
} |
344
|
|
|
|
|
|
|
#______________________________________________________________________________________________________________ |
345
|
|
|
|
|
|
|
|
346
|
|
|
|
|
|
|
|
347
|
|
|
|
|
|
|
|
348
|
|
|
|
|
|
|
|
349
|
|
|
|
|
|
|
|
350
|
|
|
|
|
|
|
#______________________________________________________________________________________________________________ |
351
|
|
|
|
|
|
|
### C++ ALGORITHMS |
352
|
|
|
|
|
|
|
# Breadth First Search |
353
|
|
|
|
|
|
|
sub breadth_first_search { |
354
|
3
|
|
|
3
|
1
|
17
|
my ($self,$start_node) = @_; |
355
|
3
|
50
|
33
|
|
|
13
|
return undef unless $start_node && $self->has_node($start_node); |
356
|
|
|
|
|
|
|
|
357
|
3
|
|
|
|
|
8
|
my $start_node_id = $self->_get_node_id($start_node); |
358
|
3
|
50
|
|
|
|
7
|
return undef unless $start_node_id; |
359
|
3
|
|
|
|
|
621
|
my @node_order = $self->{_bgi}->breadthFirstSearch($start_node_id); |
360
|
3
|
|
|
|
|
17
|
return $self->_get_node_list(\@node_order); |
361
|
|
|
|
|
|
|
} |
362
|
|
|
|
|
|
|
#______________________________________________________________________________________________________________ |
363
|
|
|
|
|
|
|
# Depth First Search |
364
|
|
|
|
|
|
|
sub depth_first_search { |
365
|
2
|
|
|
2
|
1
|
5235
|
my ($self,$start_node) = @_; |
366
|
2
|
50
|
33
|
|
|
14
|
return undef unless $start_node && $self->has_node($start_node); |
367
|
|
|
|
|
|
|
|
368
|
2
|
|
|
|
|
7
|
my $start_node_id = $self->_get_node_id($start_node); |
369
|
2
|
50
|
|
|
|
53
|
return undef unless $start_node_id; |
370
|
2
|
|
|
|
|
210
|
my @node_order = $self->{_bgi}->depthFirstSearch($start_node_id); |
371
|
2
|
|
|
|
|
9
|
return $self->_get_node_list(\@node_order); |
372
|
|
|
|
|
|
|
} |
373
|
|
|
|
|
|
|
#______________________________________________________________________________________________________________ |
374
|
|
|
|
|
|
|
### Shortest Paths Algorithms ### |
375
|
|
|
|
|
|
|
#______________________________________________________________________________________________________________ |
376
|
|
|
|
|
|
|
# Dijkstra's Shortest Paths |
377
|
|
|
|
|
|
|
# returns hashref: {path|weight}. path is a listref, weight is a scalar |
378
|
|
|
|
|
|
|
sub dijkstra_shortest_path { |
379
|
2
|
|
|
2
|
1
|
9
|
my ($self,$start_node,$end_node) = @_; |
380
|
2
|
50
|
33
|
|
|
10
|
return undef unless $start_node && $self->has_node($start_node) && $end_node && $self->has_node($end_node); |
|
|
|
33
|
|
|
|
|
|
|
|
33
|
|
|
|
|
381
|
|
|
|
|
|
|
|
382
|
2
|
|
|
|
|
3
|
my %ret; |
383
|
2
|
|
|
|
|
5
|
my $start_id = $self->_get_node_id($start_node); |
384
|
2
|
|
|
|
|
4
|
my $end_id = $self->_get_node_id($end_node); |
385
|
2
|
|
|
|
|
790
|
my ($path_wt,@node_order) = $self->{_bgi}->dijkstraShortestPath($start_id,$end_id); |
386
|
2
|
|
|
|
|
7
|
$ret{weight}=$path_wt; |
387
|
2
|
|
|
|
|
7
|
$ret{path}=$self->_get_node_list(\@node_order); |
388
|
|
|
|
|
|
|
|
389
|
2
|
|
|
|
|
10
|
return \%ret; |
390
|
|
|
|
|
|
|
} |
391
|
|
|
|
|
|
|
#______________________________________________________________________________________________________________ |
392
|
|
|
|
|
|
|
# Johnsons All Pairs Shortest Paths |
393
|
|
|
|
|
|
|
# returns path weight. |
394
|
|
|
|
|
|
|
sub all_pairs_shortest_paths_johnson { |
395
|
3
|
|
|
3
|
1
|
14
|
my ($self,$start_node,$end_node) = @_; |
396
|
3
|
50
|
33
|
|
|
11
|
return undef unless $start_node && $self->has_node($start_node) && $end_node && $self->has_node($end_node); |
|
|
|
33
|
|
|
|
|
|
|
|
33
|
|
|
|
|
397
|
|
|
|
|
|
|
|
398
|
3
|
|
|
|
|
3
|
my $ret; |
399
|
3
|
|
|
|
|
5
|
my $start_id = $self->_get_node_id($start_node); |
400
|
3
|
|
|
|
|
6
|
my $end_id = $self->_get_node_id($end_node); |
401
|
3
|
|
|
|
|
1186
|
$ret = $self->{_bgi}->allPairsShortestPathsJohnson($start_id,$end_id); |
402
|
|
|
|
|
|
|
|
403
|
3
|
|
|
|
|
8
|
return $ret; |
404
|
|
|
|
|
|
|
} |
405
|
|
|
|
|
|
|
#______________________________________________________________________________________________________________ |
406
|
|
|
|
|
|
|
# Floyd-Warshall All Pairs Shortest Paths |
407
|
|
|
|
|
|
|
# returns path weight. |
408
|
|
|
|
|
|
|
sub all_pairs_shortest_paths_floyd_warshall { |
409
|
1
|
|
|
1
|
1
|
4
|
my ($self,$start_node,$end_node) = @_; |
410
|
1
|
50
|
33
|
|
|
5
|
return undef unless $start_node && $self->has_node($start_node) && $end_node && $self->has_node($end_node); |
|
|
|
33
|
|
|
|
|
|
|
|
33
|
|
|
|
|
411
|
|
|
|
|
|
|
|
412
|
1
|
|
|
|
|
2
|
my $ret; |
413
|
1
|
|
|
|
|
2
|
my $start_id = $self->_get_node_id($start_node); |
414
|
1
|
|
|
|
|
3
|
my $end_id = $self->_get_node_id($end_node); |
415
|
1
|
|
|
|
|
462
|
$ret = $self->{_bgi}->allPairsShortestPathsFloydWarshall($start_id,$end_id); |
416
|
|
|
|
|
|
|
|
417
|
1
|
|
|
|
|
4
|
return $ret; |
418
|
|
|
|
|
|
|
} |
419
|
|
|
|
|
|
|
#______________________________________________________________________________________________________________ |
420
|
|
|
|
|
|
|
### Minimum Spanning Tree Algorithms ### |
421
|
|
|
|
|
|
|
#______________________________________________________________________________________________________________ |
422
|
|
|
|
|
|
|
### Connected Components Algorithms ### |
423
|
|
|
|
|
|
|
#______________________________________________________________________________________________________________ |
424
|
|
|
|
|
|
|
# Connected Components |
425
|
|
|
|
|
|
|
sub connected_components { |
426
|
1
|
|
|
1
|
1
|
7
|
my ($self) = @_; |
427
|
1
|
50
|
|
|
|
12
|
die "connected_components(...) only for undirected graphs." if $self->{_directed}; |
428
|
|
|
|
|
|
|
|
429
|
1
|
|
|
|
|
2
|
my @clusters; # list of listrefs that represent the connected clusters |
430
|
1
|
|
|
|
|
14
|
my @components = $self->{_bgi}->connectedComponents(); |
431
|
1
|
|
|
|
|
4
|
for(my $node_id=0; $node_id<@components; $node_id++) { |
432
|
0
|
|
|
|
|
0
|
my $cluster = $components[$node_id]; |
433
|
0
|
|
|
|
|
0
|
my $node_obj = $self->{_nodes_lookup}->{$node_id}; |
434
|
0
|
0
|
|
|
|
0
|
if (defined($node_obj)) { |
435
|
0
|
|
|
|
|
0
|
push @{ $clusters[$cluster] }, $node_obj; |
|
0
|
|
|
|
|
0
|
|
436
|
|
|
|
|
|
|
} |
437
|
|
|
|
|
|
|
} |
438
|
1
|
50
|
|
|
|
4
|
shift @clusters if !defined($clusters[0]); # remove empty 0 node (we use non-zero indexing for node ids) |
439
|
1
|
|
|
|
|
5
|
return \@clusters; |
440
|
|
|
|
|
|
|
} |
441
|
|
|
|
|
|
|
#______________________________________________________________________________________________________________ |
442
|
|
|
|
|
|
|
|
443
|
|
|
|
|
|
|
|
444
|
|
|
|
|
|
|
# |
445
|
|
|
|
|
|
|
# |
446
|
|
|
|
|
|
|
|
447
|
|
|
|
|
|
|
1; |
448
|
|
|
|
|
|
|
__END__ |