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package Tree::Compat::Tree::Nary; |
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use strict; |
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use warnings; |
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our $VERSION = '1.00'; |
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package Tree::Nary; |
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# Some notes: |
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# 1) Tree::Nary has all class methods that take an object as an argument. |
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# Hence, the "sub foo { shift;" idiom. |
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# 2) The children look to be implemented as a linked list, not an array. |
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# This may cause problems in passing the tests. |
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# Set %INC so that require() thinks Tree::Nary has already been loaded |
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$INC{'Tree/Nary.pm'} = $INC{'Tree::Compat::Tree::Nary'}; |
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use strict; |
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use warnings; |
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use Scalar::Util qw( blessed weaken ); |
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208
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1762
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use Tree; |
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15117
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use Tree::Binary; # For the in-order traversal constant |
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use vars qw($TRUE $FALSE); |
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use vars qw($TRAVERSE_LEAFS $TRAVERSE_NON_LEAFS $TRAVERSE_ALL $TRAVERSE_MASK); |
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use vars qw($IN_ORDER $PRE_ORDER $POST_ORDER $LEVEL_ORDER); |
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# Booleans |
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*TRUE = \1; |
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*FALSE = \0; |
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34
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# Tree traverse flags |
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*TRAVERSE_LEAFS = \(1 << 0); # Only leaf nodes should be visited. |
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*TRAVERSE_NON_LEAFS = \(1 << 1); # Only non-leaf nodes should be visited. |
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*TRAVERSE_ALL = \($TRAVERSE_LEAFS | $TRAVERSE_NON_LEAFS); # All nodes should be visited. |
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*TRAVERSE_MASK = \0x03; |
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40
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# Tree traverse orders |
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*IN_ORDER = \1; |
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*PRE_ORDER = \2; |
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*POST_ORDER = \3; |
44
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*LEVEL_ORDER = \4; |
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46
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sub new { |
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my $class = shift; |
48
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my ($data) = @_; |
49
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50
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my $tree = Tree->new(); |
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$tree->error_handler( $tree->DIE ); |
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53
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my $self = bless \$tree, $class; |
54
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55
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$tree->meta->{compat}{object} = $self; |
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weaken( $self ); |
57
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58
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if ( defined $data ) { |
59
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$tree->set_value( $data ); |
60
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} |
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62
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return $self; |
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} |
64
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65
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sub REAL_TREE { ${+shift} } |
66
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67
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sub unlink { |
68
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} |
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70
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sub is_root { shift; |
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# Check against next and prev too? |
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${$_[0]}->is_root; |
73
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} |
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75
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sub is_leaf { shift; |
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${$_[0]}->is_leaf; |
77
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} |
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79
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sub _parent { |
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my $parent = ${$_[0]}->parent; |
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return $parent->meta->{compat}{object} if $parent; |
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return; |
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} |
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85
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sub is_ancestor { shift; |
86
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my ($self, $child) = @_; |
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88
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return unless $self && $child; |
89
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90
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while ( $child ) { |
91
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my $parent = $child->_parent; |
92
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93
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if ( $parent && $parent == $self ) { |
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return 1; |
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} |
96
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97
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$child = $parent; |
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} |
99
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100
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return; |
101
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} |
102
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103
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sub get_root { shift; |
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${$_[0]}->root->meta->{compat}{object}; |
105
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} |
106
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107
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sub depth { shift; |
108
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${$_[0]}->depth; |
109
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} |
110
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111
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sub reverse_children { shift; |
112
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my $self = shift; |
113
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my $tree = ${$self}; |
114
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115
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$tree->add_child( reverse $tree->remove_child( $tree->children ) ); |
116
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117
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return; |
118
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} |
119
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120
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sub max_height { shift; |
121
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${$_[0]}->height; |
122
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} |
123
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124
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sub n_children { shift; |
125
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scalar ${$_[0]}->children; |
126
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} |
127
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128
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sub child_position { shift; |
129
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my ($self, $child) = @_; |
130
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131
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if ( !$self || !$child || $self ne $child->_parent ) { |
132
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return -1; |
133
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} |
134
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135
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${$self}->get_index_for( ${$child} ); |
136
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} |
137
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138
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sub child_index { shift; |
139
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my ($self, $data) = @_; |
140
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141
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return -1 unless defined $self; |
142
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143
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my @children = ${$self}->children; |
144
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foreach my $n ( 0 .. $#children ) { |
145
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if ( $children[$n]->value eq $data ) { |
146
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return $n; |
147
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} |
148
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} |
149
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150
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return; |
151
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} |
152
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153
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sub first_sibling { shift; |
154
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my ($self) = @_; |
155
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return unless $self; |
156
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157
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my $parent = $self->_parent |
158
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or return $self; |
159
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return ${$parent}->children( 0 )->meta->{compat}{object}; |
160
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} |
161
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162
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sub next_sibling { shift; |
163
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my ($self) = @_; |
164
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return unless $self; |
165
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166
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my $tree = ${$self}; |
167
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my $i = $tree->parent->get_index_for( $tree ) + 1; |
168
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my $num_children = $tree->parent->children; |
169
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return unless $i <= $num_children; |
170
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return ${$self}->children( $i )->meta->{compat}{object}; |
171
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} |
172
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173
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sub prev_sibling { shift; |
174
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my ($self) = @_; |
175
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return unless $self; |
176
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177
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my $tree = ${$self}; |
178
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my $i = $tree->parent->get_index_for( $tree ) - 1; |
179
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return unless $i >= 0; |
180
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return ${$self}->children( $i )->meta->{compat}{object}; |
181
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} |
182
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183
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sub last_sibling { shift; |
184
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my ($self) = @_; |
185
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return unless $self; |
186
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187
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my $parent = $self->_parent |
188
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or return $self; |
189
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return ${$parent}->children( |
190
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scalar ${$parent}->children |
191
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)->meta->{compat}{object}; |
192
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} |
193
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194
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sub n_nodes { shift; |
195
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my ($self, $flags) = @_; |
196
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return 0 unless $self; |
197
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return 0 unless $flags <= $TRAVERSE_MASK; |
198
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199
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${$self}->size; |
200
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} |
201
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202
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sub first_child { shift; |
203
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return unless $_[0]; |
204
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${$_[0]}->children( 0 )->meta->{compat}{object}; |
205
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} |
206
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207
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sub last_child { shift; |
208
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return unless $_[0]; |
209
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return ${$_[0]}->children( scalar ${$_[0]}->children ); |
210
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} |
211
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212
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sub nth_child { shift; |
213
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return unless $_[0]; |
214
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return ${$_[0]}->children( $_[1] ); |
215
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} |
216
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217
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sub insert { shift; |
218
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my ($self, $position, $child) = @_; |
219
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220
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if ( !$self && !defined $child && !$child->is_root ) { |
221
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return $child; |
222
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} |
223
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224
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${$self}->add_child( { at => $position }, ${$child} ); |
225
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return $child; |
226
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} |
227
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228
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sub insert_data { |
229
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my ($class, $parent, $sibling, $data ) = @_; |
230
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$class->insert( $parent, $sibling, $class->new( $data ) ); |
231
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} |
232
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233
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sub insert_before { |
234
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my $class = shift; |
235
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my ($self, $sibling, $child) = @_; |
236
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237
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if ( !$self && !defined $child && !$child->is_root ) { |
238
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return $child; |
239
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} |
240
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241
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if ( defined $sibling ) { |
242
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if ( $sibling->_parent ne $self ) { |
243
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return $child; |
244
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} |
245
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my $i = $class->child_position( $self, $sibling ); |
246
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${$self}->add_child( { at => $i }, $child ); |
247
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} |
248
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else { |
249
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${$self}->add_child( ${$child} ); |
250
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} |
251
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252
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return $child; |
253
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} |
254
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255
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sub insert_data_before { |
256
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my ($class, $parent, $sibling, $data ) = @_; |
257
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$class->insert_before( $parent, $sibling, $class->new( $data ) ); |
258
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} |
259
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260
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sub append() { |
261
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my ($self, $parent, $node) = @_; |
262
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263
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$self->insert_before($parent, undef, $node); |
264
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} |
265
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266
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sub append_data() { |
267
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my ($self, $parent, $data) = @_; |
268
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269
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$self->insert_before($parent, undef, $self->new($data)); |
270
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} |
271
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272
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sub prepend() { |
273
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|
my ($self, $parent, $node) = @_; |
274
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275
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return $node unless $parent; |
276
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277
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|
${$parent}->add_child( { at => 0 }, $node ); |
278
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} |
279
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280
|
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|
sub prepend_data() { |
281
|
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|
my ($self, $parent, $data) = @_; |
282
|
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283
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|
$self->prepend($parent, $self->new($data)); |
284
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|
} |
285
|
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286
|
|
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sub traverse { |
287
|
|
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|
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|
|
my ($self, $root, $order, $flags, $depth, $funcref, $argref) = @_; |
288
|
|
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|
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|
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|
289
|
|
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|
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|
|
unless ( |
290
|
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|
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|
|
$root && $funcref && $order <= $LEVEL_ORDER |
291
|
|
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|
|
|
|
&& $flags < $TRAVERSE_MASK || ($depth == -1 || $depth > 0) |
292
|
|
|
|
|
|
|
) { |
293
|
|
|
|
|
|
|
return; |
294
|
|
|
|
|
|
|
} |
295
|
|
|
|
|
|
|
|
296
|
|
|
|
|
|
|
my %convert = ( |
297
|
|
|
|
|
|
|
$PRE_ORDER => Tree->PRE_ORDER, |
298
|
|
|
|
|
|
|
$POST_ORDER => Tree->POST_ORDER, |
299
|
|
|
|
|
|
|
$LEVEL_ORDER => Tree->LEVEL_ORDER, |
300
|
|
|
|
|
|
|
$IN_ORDER => Tree::Binary->IN_ORDER, |
301
|
|
|
|
|
|
|
); |
302
|
|
|
|
|
|
|
|
303
|
|
|
|
|
|
|
my $traversal = ${$root}->traverse( Tree->PRE_ORDER ); |
304
|
|
|
|
|
|
|
|
305
|
|
|
|
|
|
|
while ( my $node = $traversal->() ) { |
306
|
|
|
|
|
|
|
# $depth == 0 cannot happen |
307
|
|
|
|
|
|
|
# -1 will never be greater than $node->depth |
308
|
|
|
|
|
|
|
next if $depth > $node->depth; |
309
|
|
|
|
|
|
|
|
310
|
|
|
|
|
|
|
if ( $node->is_leaf ) { |
311
|
|
|
|
|
|
|
if ($flags & $TRAVERSE_LEAFS) { |
312
|
|
|
|
|
|
|
if ( $funcref->($node->meta->{compat}{object}, $argref) ) { |
313
|
|
|
|
|
|
|
last; |
314
|
|
|
|
|
|
|
} |
315
|
|
|
|
|
|
|
} |
316
|
|
|
|
|
|
|
} |
317
|
|
|
|
|
|
|
else { |
318
|
|
|
|
|
|
|
if ($flags & $TRAVERSE_NON_LEAFS) { |
319
|
|
|
|
|
|
|
if ( $funcref->($node->meta->{compat}{object}, $argref) ) { |
320
|
|
|
|
|
|
|
last; |
321
|
|
|
|
|
|
|
} |
322
|
|
|
|
|
|
|
} |
323
|
|
|
|
|
|
|
} |
324
|
|
|
|
|
|
|
} |
325
|
|
|
|
|
|
|
|
326
|
|
|
|
|
|
|
return; |
327
|
|
|
|
|
|
|
} |
328
|
|
|
|
|
|
|
|
329
|
|
|
|
|
|
|
sub find { |
330
|
|
|
|
|
|
|
my ($self, $root, $order, $flags, $data) = @_; |
331
|
|
|
|
|
|
|
|
332
|
|
|
|
|
|
|
unless ( $root && $order <= $LEVEL_ORDER && $flags <= $TRAVERSE_MASK ) { |
333
|
|
|
|
|
|
|
return; |
334
|
|
|
|
|
|
|
} |
335
|
|
|
|
|
|
|
|
336
|
|
|
|
|
|
|
my $found; |
337
|
|
|
|
|
|
|
$self->traverse( |
338
|
|
|
|
|
|
|
$root, $order, $flags, -1, sub { |
339
|
|
|
|
|
|
|
my $node = shift; |
340
|
|
|
|
|
|
|
if ( $data eq ${$node}->value ) { |
341
|
|
|
|
|
|
|
$found = $node; |
342
|
|
|
|
|
|
|
return 1; |
343
|
|
|
|
|
|
|
} |
344
|
|
|
|
|
|
|
|
345
|
|
|
|
|
|
|
return; |
346
|
|
|
|
|
|
|
}, |
347
|
|
|
|
|
|
|
); |
348
|
|
|
|
|
|
|
|
349
|
|
|
|
|
|
|
return $found; |
350
|
|
|
|
|
|
|
} |
351
|
|
|
|
|
|
|
|
352
|
|
|
|
|
|
|
sub find_child { |
353
|
|
|
|
|
|
|
my ($self, $node, $flags, $data) = @_; |
354
|
|
|
|
|
|
|
|
355
|
|
|
|
|
|
|
unless ( $node && $flags <= $TRAVERSE_MASK ) { |
356
|
|
|
|
|
|
|
return; |
357
|
|
|
|
|
|
|
} |
358
|
|
|
|
|
|
|
|
359
|
|
|
|
|
|
|
foreach my $node ( ${node}->children ) { |
360
|
|
|
|
|
|
|
if ( |
361
|
|
|
|
|
|
|
$node->is_leaf && $flags & $TRAVERSE_LEAFS |
362
|
|
|
|
|
|
|
|| $flags & $TRAVERSE_NON_LEAFS |
363
|
|
|
|
|
|
|
) { |
364
|
|
|
|
|
|
|
return $node if $node->value eq $data; |
365
|
|
|
|
|
|
|
} |
366
|
|
|
|
|
|
|
} |
367
|
|
|
|
|
|
|
} |
368
|
|
|
|
|
|
|
|
369
|
|
|
|
|
|
|
sub children_foreach { |
370
|
|
|
|
|
|
|
my ($self, $node, $flags, $funcref, $argref) = @_; |
371
|
|
|
|
|
|
|
|
372
|
|
|
|
|
|
|
unless ( $node && $funcref && $flags <= $TRAVERSE_MASK ) { |
373
|
|
|
|
|
|
|
return; |
374
|
|
|
|
|
|
|
} |
375
|
|
|
|
|
|
|
|
376
|
|
|
|
|
|
|
foreach my $node ( ${node}->children ) { |
377
|
|
|
|
|
|
|
if ( |
378
|
|
|
|
|
|
|
$node->is_leaf && $flags & $TRAVERSE_LEAFS |
379
|
|
|
|
|
|
|
|| $flags & $TRAVERSE_NON_LEAFS |
380
|
|
|
|
|
|
|
) { |
381
|
|
|
|
|
|
|
return $node if $funcref->( $node->meta->{compat}{object}, $argref); |
382
|
|
|
|
|
|
|
} |
383
|
|
|
|
|
|
|
} |
384
|
|
|
|
|
|
|
} |
385
|
|
|
|
|
|
|
|
386
|
|
|
|
|
|
|
sub tsort { |
387
|
|
|
|
|
|
|
my ($self, $node) = @_; |
388
|
|
|
|
|
|
|
|
389
|
|
|
|
|
|
|
return if $self->is_leaf( $node ); |
390
|
|
|
|
|
|
|
|
391
|
|
|
|
|
|
|
my $tree = ${$node}; |
392
|
|
|
|
|
|
|
my @children = sort { |
393
|
|
|
|
|
|
|
$b->value cmp $a->value |
394
|
|
|
|
|
|
|
} $tree->remove_child( $tree->children ); |
395
|
|
|
|
|
|
|
|
396
|
|
|
|
|
|
|
$tree->add_child( @children ); |
397
|
|
|
|
|
|
|
$self->tsort( $_->meta->{compat}{object} ) for @children; |
398
|
|
|
|
|
|
|
|
399
|
|
|
|
|
|
|
return; |
400
|
|
|
|
|
|
|
} |
401
|
|
|
|
|
|
|
|
402
|
|
|
|
|
|
|
sub normalize { |
403
|
|
|
|
|
|
|
my ($self, $node) = @_; |
404
|
|
|
|
|
|
|
|
405
|
|
|
|
|
|
|
return '*' if $self->is_leaf( $node ); |
406
|
|
|
|
|
|
|
|
407
|
|
|
|
|
|
|
return '(' . join('', |
408
|
|
|
|
|
|
|
sort map { $self->normalize( $_->meta->{compat}{object} ) } ${$node}->children |
409
|
|
|
|
|
|
|
) . ')'; |
410
|
|
|
|
|
|
|
} |
411
|
|
|
|
|
|
|
|
412
|
|
|
|
|
|
|
sub is_identical { |
413
|
|
|
|
|
|
|
my ($self, $n1, $n2) = @_; |
414
|
|
|
|
|
|
|
|
415
|
|
|
|
|
|
|
my $tree1 = ${$n1}; |
416
|
|
|
|
|
|
|
my $tree2 = ${$n2}; |
417
|
|
|
|
|
|
|
|
418
|
|
|
|
|
|
|
return if $tree1->value ne $tree2->value; |
419
|
|
|
|
|
|
|
|
420
|
|
|
|
|
|
|
# If they have the same number of children, their leaf-ness has been |
421
|
|
|
|
|
|
|
# checked - a leaf will have 0 children. |
422
|
|
|
|
|
|
|
my @c1 = $tree1->children; |
423
|
|
|
|
|
|
|
my @c2 = $tree2->children; |
424
|
|
|
|
|
|
|
return if @c1 != @c2; |
425
|
|
|
|
|
|
|
|
426
|
|
|
|
|
|
|
for ( 0 .. $#c1 ) { |
427
|
|
|
|
|
|
|
return unless $self->is_identical( |
428
|
|
|
|
|
|
|
map { $_->meta->{compat}{object} } $c1[$_], $c2[$_] |
429
|
|
|
|
|
|
|
); |
430
|
|
|
|
|
|
|
} |
431
|
|
|
|
|
|
|
|
432
|
|
|
|
|
|
|
return 1; |
433
|
|
|
|
|
|
|
} |
434
|
|
|
|
|
|
|
|
435
|
|
|
|
|
|
|
sub has_same_struct { |
436
|
|
|
|
|
|
|
my ($self, $n1, $n2) = @_; |
437
|
|
|
|
|
|
|
|
438
|
|
|
|
|
|
|
return $self->normalize( $n1 ) eq $self->normalize( $n2 ); |
439
|
|
|
|
|
|
|
} |
440
|
|
|
|
|
|
|
|
441
|
|
|
|
|
|
|
1; |
442
|
|
|
|
|
|
|
__END__ |