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package AI::Pathfinding::SMAstar; |
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use 5.006000; |
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use strict; |
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use warnings; |
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require Exporter; |
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our @ISA = qw(Exporter); |
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# Items to export into callers namespace by default. Note: do not export |
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# names by default without a very good reason. Use EXPORT_OK instead. |
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# Do not simply export all your public functions/methods/constants. |
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# This allows declaration use AI::Pathfinding::SMAstar ':all'; |
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# If you do not need this, moving things directly into @EXPORT or @EXPORT_OK |
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# will save memory. |
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our %EXPORT_TAGS = ( 'all' => [ qw( |
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) ] ); |
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our @EXPORT_OK = ( @{ $EXPORT_TAGS{'all'} } ); |
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our @EXPORT = qw( |
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); |
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our $VERSION = '0.07'; |
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use AI::Pathfinding::SMAstar::PriorityQueue; |
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use AI::Pathfinding::SMAstar::Path; |
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use Scalar::Util; |
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use Carp; |
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my $DEBUG = 0; |
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################################################## |
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# SMAstar constructor |
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################################################## |
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sub new { |
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my $invocant = shift; |
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my $class = ref($invocant) || $invocant; |
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my $self = { |
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_priority_queue => AI::Pathfinding::SMAstar::PriorityQueue->new(), |
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_state_eval_func => undef, |
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_state_goal_p_func => undef, |
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_state_num_successors_func => undef, |
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_state_successors_iterator => undef, |
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_show_prog_func => undef, |
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_state_get_data_func => undef, |
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@_, # attribute override |
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}; |
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return bless $self, $class; |
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} |
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sub state_eval_func { |
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my $self = shift; |
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if (@_) { $self->{_state_eval_func} = shift } |
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return $self->{_state_eval_func}; |
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} |
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sub state_goal_p_func { |
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my $self = shift; |
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if (@_) { $self->{_state_goal_p_func} = shift } |
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return $self->{_state_goal_p_func}; |
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} |
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73
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sub state_num_successors_func { |
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my $self = shift; |
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if (@_) { $self->{_state_num_successors_func} = shift } |
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return $self->{_state_num_successors_func}; |
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} |
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sub state_successors_iterator { |
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my $self = shift; |
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if (@_) { $self->{_state_successors_iterator} = shift } |
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return $self->{_state_successors_iterator}; |
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} |
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sub state_get_data_func { |
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my $self = shift; |
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if (@_) { $self->{_state_get_data_func} = shift } |
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return $self->{_state_get_data_func}; |
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} |
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sub show_prog_func { |
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my $self = shift; |
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if (@_) { $self->{_show_prog_func} = shift } |
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return $self->{_show_prog_func}; |
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} |
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################################################################### |
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# |
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# Add a state from which to begin the search. There can |
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# be multiple start-states. |
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# |
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################################################################### |
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sub add_start_state |
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{ |
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my ($self, $state) = @_; |
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109
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110
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my $state_eval_func = $self->{_state_eval_func}; |
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my $state_goal_p_func = $self->{_state_goal_p_func}; |
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my $state_num_successors_func = $self->{_state_num_successors_func}, |
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my $state_successors_iterator = $self->{_state_successors_iterator}, |
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my $state_get_data_func = $self->{_state_get_data_func}; |
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116
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# make sure required functions have been defined |
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if(!defined($state_eval_func)){ |
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croak "SMAstar: evaluation function is not defined\n"; |
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} |
120
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4
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if(!defined($state_goal_p_func)){ |
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0
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croak "SMAstar: goal function is not defined\n"; |
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} |
123
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2
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50
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4
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if(!defined($state_num_successors_func)){ |
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0
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croak "SMAstar: num successors function is not defined\n"; |
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} |
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2
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4
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if(!defined($state_successors_iterator)){ |
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0
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croak "SMAstar: successor iterator is not defined\n"; |
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} |
129
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130
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# create a path object from this state |
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2
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my $state_obj = AI::Pathfinding::SMAstar::Path->new( |
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_state => $state, |
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_eval_func => $state_eval_func, |
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_goal_p_func => $state_goal_p_func, |
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_num_successors_func => $state_num_successors_func, |
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_successors_iterator => $state_successors_iterator, |
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_get_data_func => $state_get_data_func, |
138
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); |
139
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140
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141
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6
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my $fcost = AI::Pathfinding::SMAstar::Path::fcost($state_obj); |
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# check if the fcost of this node looks OK (is numeric) |
143
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2
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unless(Scalar::Util::looks_like_number($fcost)){ |
144
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0
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0
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croak "Error: f-cost of state is not numeric. Cannot add state to queue.\n"; |
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} |
146
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2
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15
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$state_obj->f_cost($fcost); |
147
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148
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# check if the num_successors function returns a number |
149
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2
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7
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my $num_successors = $state_obj->get_num_successors(); |
150
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2
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7
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unless(Scalar::Util::looks_like_number($num_successors)){ |
151
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0
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0
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croak "Error: Number of state successors is not numeric. Cannot add state to queue.\n"; |
152
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} |
153
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154
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# test out the iterator function to make sure it returns |
155
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# an object of the correct type |
156
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2
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8
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my $classname = ref($state); |
157
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2
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6
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my $test_successor_iterator = $state_obj->{_successors_iterator}->($state); |
158
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2
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6
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my $test_successor = $test_successor_iterator->($state); |
159
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4
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my $succ_classname = ref($test_successor); |
160
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161
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50
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unless($succ_classname eq $classname){ |
162
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0
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croak "Error: Successor iterator method of object $classname does " . |
163
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"not return an object of type $classname.\n"; |
164
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} |
165
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166
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167
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# add this node to the queue |
168
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12
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$self->{_priority_queue}->insert($state_obj); |
169
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170
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} |
171
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172
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################################################################### |
173
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# |
174
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# start the SMAstar search process |
175
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# |
176
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################################################################### |
177
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sub start_search |
178
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{ |
179
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1
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1
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1
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9
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my ($self, |
180
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$log_function, |
181
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$str_function, |
182
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$max_states_in_queue, |
183
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$max_cost, |
184
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) = @_; |
185
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186
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1
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50
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3
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if(!defined($str_function)){ |
187
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0
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0
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croak "SMAstar start_search: str_function is not defined.\n"; |
188
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} |
189
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190
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1
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9
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sma_star_tree_search(\($self->{_priority_queue}), |
191
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\&AI::Pathfinding::SMAstar::Path::is_goal, |
192
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\&AI::Pathfinding::SMAstar::Path::get_descendants_iterator_smastar, |
193
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\&AI::Pathfinding::SMAstar::Path::fcost, |
194
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\&AI::Pathfinding::SMAstar::Path::backup_fvals, |
195
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$log_function, |
196
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$str_function, |
197
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\&AI::Pathfinding::SMAstar::Path::progress, |
198
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$self->{_show_prog_func}, |
199
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$max_states_in_queue, |
200
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$max_cost, |
201
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); |
202
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} |
203
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204
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################################################################# |
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# |
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# SMAstar search |
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# Memory-bounded A* search |
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# |
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# |
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################################################################# |
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sub sma_star_tree_search |
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{ |
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1
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1
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0
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2
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my ($priority_queue, |
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$goal_p, |
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$successors_func, |
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$eval_func, |
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$backup_func, |
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$log_function, # debug string func; represent state object as a string. |
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$str_function, |
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$prog_function, |
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$show_prog_func, |
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$max_states_in_queue, |
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$max_cost, |
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) = @_; |
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1
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2
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my $iteration = 0; |
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1
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5
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my $num_states_in_queue = $$priority_queue->size(); |
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1
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1
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my $max_extra_states_in_queue = $max_states_in_queue; |
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1
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$max_states_in_queue = $num_states_in_queue + $max_extra_states_in_queue; |
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1
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1
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my $max_depth = ($max_states_in_queue - $num_states_in_queue); |
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1
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1
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my $best; # the best candidate for expansion |
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239
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1
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50
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33
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8
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if($$priority_queue->is_empty() || !$$priority_queue){ |
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0
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0
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return; |
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} |
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else{ |
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1
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my $num_successors = 0; |
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245
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# loop over the elements in the priority queue |
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1
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3
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while(!$$priority_queue->is_empty()){ |
247
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248
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# determine the current size of the queue |
249
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6
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12
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my $num_states_in_queue = $$priority_queue->{_size}; |
250
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# get the best candidate for expansion from the queue |
251
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6
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18
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$best = $$priority_queue->deepest_lowest_cost_leaf_dont_remove(); |
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253
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#------------------------------------------------------ |
254
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6
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50
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15
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if(!$DEBUG){ |
255
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6
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18
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my $str = $log_function->($best); |
256
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6
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162
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$show_prog_func->($iteration, $num_states_in_queue, $str); |
257
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} |
258
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else{ |
259
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0
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0
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my $str = $log_function->($best); |
260
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0
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0
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print "best is: " . $str_function->($best) . ", cost: " . $best->{_f_cost} . "\n"; |
261
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} |
262
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#------------------------------------------------------ |
263
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264
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265
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6
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100
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22
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if($best->$goal_p()) { |
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50
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266
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# goal achieved! iteration: $iteration, number of |
267
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# states in queue: $num_states_in_queue. |
268
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1
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7
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return $best; |
269
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} |
270
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elsif($best->{_f_cost} >= $max_cost){ |
271
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0
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0
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croak "\n\nSearch unsuccessful. max_cost reached (cost: $max_cost).\n"; |
272
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} |
273
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else{ |
274
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5
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14
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my $successors_iterator = $best->$successors_func(); |
275
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5
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12
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my $succ = $successors_iterator->(); |
276
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277
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5
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50
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15
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if($succ){ |
278
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# if succ is at max depth and is not a goal node, set succ->fcost to infinity |
279
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5
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50
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33
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12
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if($succ->depth() >= $max_depth && !$succ->$goal_p() ){ |
280
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0
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0
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$succ->{_f_cost} = $max_cost; |
281
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} |
282
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else{ |
283
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# calling eval for comparison, and maintaining pathmax property |
284
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5
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13
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$succ->{_f_cost} = max($eval_func->($succ), $eval_func->($best)); |
285
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5
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10
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my $descendant_index = $succ->{_descendant_index}; |
286
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5
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11
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$best->{_descendant_fcosts}->[$descendant_index] = $succ->{_f_cost}; |
287
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} |
288
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} |
289
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290
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# determine if $best is completed, and if so backup values |
291
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5
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50
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13
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if($best->is_completed()){ |
292
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293
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294
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# remove from queue first, back up fvals, then insert back on queue. |
295
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# this way, it gets placed in its rightful place on the queue. |
296
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5
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6
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my $fval_before_backup = $best->{_f_cost}; |
297
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298
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# STEPS: |
299
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# 1) remove best and all antecedents from queue, but only if they are |
300
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# going to be altered by backing-up fvals. This is because |
301
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# removing and re-inserting in queue changes temporal ordering, |
302
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# and we don't want to do that unless the node will be |
303
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# placed in a new cost-bucket/tree. |
304
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# 2) then backup fvals |
305
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# 3) then re-insert best and all antecedents back on queue. |
306
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307
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308
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# Check if need for backup fvals |
309
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5
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12
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$best->check_need_fval_change(); |
310
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311
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my $cmp_func = sub { |
312
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4
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|
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4
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5
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my ($str) = @_; |
313
|
|
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|
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return sub{ |
314
|
0
|
|
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|
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0
|
my ($obj) = @_; |
315
|
0
|
|
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|
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0
|
my $obj_path_str = $str_function->($obj); |
316
|
0
|
0
|
|
|
|
0
|
if($obj_path_str eq $str){ |
317
|
0
|
|
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|
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0
|
return 1; |
318
|
|
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|
|
} |
319
|
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|
else{ |
320
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0
|
|
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|
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0
|
return 0; |
321
|
|
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|
|
} |
322
|
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} |
323
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5
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26
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}; |
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4
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22
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324
|
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325
|
5
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7
|
my $antecedent = $best->{_antecedent}; |
326
|
5
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|
|
|
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4
|
my %was_on_queue; |
327
|
5
|
|
|
|
|
9
|
my $i = 0; |
328
|
|
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|
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|
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329
|
|
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|
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|
|
# Now remove the offending nodes from queue, if any |
330
|
5
|
50
|
|
|
|
14
|
if($best->need_fval_change()){ |
331
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|
|
332
|
|
|
|
|
|
|
# remove best from the queue |
333
|
5
|
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|
|
|
16
|
$best = $$priority_queue->deepest_lowest_cost_leaf(); |
334
|
|
|
|
|
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|
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335
|
5
|
|
|
|
|
12
|
while($antecedent){ |
336
|
4
|
|
|
|
|
9
|
my $path_str = $str_function->($antecedent); |
337
|
|
|
|
|
|
|
|
338
|
4
|
50
|
33
|
|
|
61
|
if($antecedent->is_on_queue() && $antecedent->need_fval_change()){ |
339
|
4
|
|
|
|
|
6
|
$was_on_queue{$i} = 1; |
340
|
4
|
|
|
|
|
7
|
$$priority_queue->remove($antecedent, $cmp_func->($path_str)); |
341
|
|
|
|
|
|
|
} |
342
|
4
|
|
|
|
|
17
|
$antecedent = $antecedent->{_antecedent}; |
343
|
4
|
|
|
|
|
10
|
$i++; |
344
|
|
|
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|
|
|
} |
345
|
|
|
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|
|
|
} |
346
|
|
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|
347
|
|
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|
|
|
|
|
348
|
|
|
|
|
|
|
# Backup fvals |
349
|
5
|
50
|
|
|
|
13
|
if($best->need_fval_change()){ |
350
|
5
|
|
|
|
|
15
|
$best->$backup_func(); |
351
|
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|
|
} |
352
|
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|
|
353
|
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|
|
|
354
|
|
|
|
|
|
|
# Put everything back on the queue |
355
|
5
|
50
|
|
|
|
15
|
if($best->need_fval_change()){ |
356
|
5
|
|
|
|
|
13
|
$$priority_queue->insert($best); |
357
|
5
|
|
|
|
|
7
|
my $antecedent = $best->{_antecedent}; |
358
|
5
|
|
|
|
|
8
|
my $i = 0; |
359
|
5
|
|
|
|
|
12
|
while($antecedent){ |
360
|
4
|
50
|
33
|
|
|
17
|
if($was_on_queue{$i} && $antecedent->need_fval_change()){ |
361
|
|
|
|
|
|
|
# the antecedent needed fval change too. |
362
|
4
|
|
|
|
|
10
|
$$priority_queue->insert($antecedent); |
363
|
|
|
|
|
|
|
} |
364
|
4
|
50
|
|
|
|
11
|
if($antecedent->need_fval_change()){ |
365
|
|
|
|
|
|
|
# set need_fval_change back to 0, so it will not be automatically seen as |
366
|
|
|
|
|
|
|
# needing changed in the future. This is important, since we do not want |
367
|
|
|
|
|
|
|
# to remove an element from the queue *unless* we need to change the fcost. |
368
|
|
|
|
|
|
|
# This is because when we remove it from the queue and re-insert it, it |
369
|
|
|
|
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|
|
# loses its seniority in the queue (it becomes the newest node at its cost |
370
|
|
|
|
|
|
|
# and depth) and will not be removed at the right time when searching for |
371
|
|
|
|
|
|
|
# deepest_lowest_cost_leafs or shallowest_highest_cost_leafs. |
372
|
4
|
|
|
|
|
6
|
$antecedent->{_need_fcost_change} = 0; |
373
|
|
|
|
|
|
|
} |
374
|
|
|
|
|
|
|
|
375
|
4
|
|
|
|
|
6
|
$antecedent = $antecedent->{_antecedent}; |
376
|
4
|
|
|
|
|
11
|
$i++; |
377
|
|
|
|
|
|
|
} |
378
|
|
|
|
|
|
|
# Again, set need_fval_change back to 0, so it will not be automatically |
379
|
|
|
|
|
|
|
# seen as needing changed in the future. |
380
|
5
|
|
|
|
|
26
|
$best->{_need_fcost_change} = 0; |
381
|
|
|
|
|
|
|
} |
382
|
|
|
|
|
|
|
} |
383
|
|
|
|
|
|
|
|
384
|
|
|
|
|
|
|
|
385
|
|
|
|
|
|
|
# |
386
|
|
|
|
|
|
|
# If best's descendants are all in memory, mark best as completed. |
387
|
|
|
|
|
|
|
# |
388
|
5
|
50
|
|
|
|
17
|
if($best->all_in_memory()) { |
389
|
|
|
|
|
|
|
|
390
|
0
|
0
|
|
|
|
0
|
if(!($best->is_completed())){ |
391
|
0
|
|
|
|
|
0
|
$best->is_completed(1); |
392
|
|
|
|
|
|
|
} |
393
|
|
|
|
|
|
|
|
394
|
|
|
|
|
|
|
my $cmp_func = sub { |
395
|
0
|
|
|
0
|
|
0
|
my ($str) = @_; |
396
|
|
|
|
|
|
|
return sub{ |
397
|
0
|
|
|
|
|
0
|
my ($obj) = @_; |
398
|
0
|
|
|
|
|
0
|
my $obj_str = $str_function->($obj); |
399
|
0
|
0
|
|
|
|
0
|
if($obj_str eq $str){ |
400
|
0
|
|
|
|
|
0
|
return 1; |
401
|
|
|
|
|
|
|
} |
402
|
|
|
|
|
|
|
else{ |
403
|
0
|
|
|
|
|
0
|
return 0; |
404
|
|
|
|
|
|
|
} |
405
|
|
|
|
|
|
|
} |
406
|
0
|
|
|
|
|
0
|
}; |
|
0
|
|
|
|
|
0
|
|
407
|
|
|
|
|
|
|
|
408
|
0
|
|
|
|
|
0
|
my $best_str = $str_function->($best); |
409
|
|
|
|
|
|
|
|
410
|
|
|
|
|
|
|
# If best is not a root node |
411
|
0
|
0
|
|
|
|
0
|
if($best->{_depth} != 0){ |
412
|
|
|
|
|
|
|
# descendant index is the unique index indicating which descendant |
413
|
|
|
|
|
|
|
# this node is of its antecedent. |
414
|
0
|
|
|
|
|
0
|
my $descendant_index = $best->{_descendant_index}; |
415
|
0
|
|
|
|
|
0
|
my $antecedent = $best->{_antecedent}; |
416
|
0
|
|
|
|
|
0
|
$$priority_queue->remove($best, $cmp_func->($best_str)); |
417
|
0
|
0
|
|
|
|
0
|
if($antecedent){ |
418
|
0
|
|
|
|
|
0
|
$antecedent->{_descendants_produced}->[$descendant_index] = 0; |
419
|
|
|
|
|
|
|
} |
420
|
|
|
|
|
|
|
} |
421
|
|
|
|
|
|
|
} |
422
|
|
|
|
|
|
|
|
423
|
|
|
|
|
|
|
# there are no more successors of $best |
424
|
5
|
50
|
|
|
|
12
|
if(!$succ){ |
425
|
0
|
|
|
|
|
0
|
next; |
426
|
|
|
|
|
|
|
} |
427
|
|
|
|
|
|
|
|
428
|
5
|
|
|
|
|
6
|
my $antecedent; |
429
|
|
|
|
|
|
|
my @antecedents_that_need_to_be_inserted; |
430
|
|
|
|
|
|
|
|
431
|
|
|
|
|
|
|
# If the maximum number of states in the queue has been reached, |
432
|
|
|
|
|
|
|
# we need to remove the shallowest-highest-cost leaf to make room |
433
|
|
|
|
|
|
|
# for more nodes. That means we have to make sure that the antecedent |
434
|
|
|
|
|
|
|
# produces this descendant again at some point in the future if needed. |
435
|
5
|
50
|
|
|
|
11
|
if($num_states_in_queue > $max_states_in_queue){ |
436
|
0
|
|
|
|
|
0
|
my $shcl_obj = $$priority_queue->shallowest_highest_cost_leaf($best, $succ, $str_function); |
437
|
|
|
|
|
|
|
|
438
|
0
|
0
|
|
|
|
0
|
if(!$shcl_obj){ |
439
|
0
|
|
|
|
|
0
|
croak "Error while pruning queue: shallowest-highest-cost-leaf was null\n"; |
440
|
|
|
|
|
|
|
} |
441
|
0
|
|
|
|
|
0
|
$antecedent = $shcl_obj->{_antecedent}; |
442
|
0
|
0
|
|
|
|
0
|
if($antecedent){ |
443
|
0
|
|
|
|
|
0
|
my $antecedent_successors = \$antecedent->{_descendants_list}; |
444
|
|
|
|
|
|
|
|
445
|
0
|
|
|
|
|
0
|
$antecedent->remember_forgotten_nodes_fcost($shcl_obj); |
446
|
0
|
|
|
|
|
0
|
$antecedent->{_forgotten_nodes_num} = $antecedent->{_forgotten_nodes_num} + 1; |
447
|
0
|
|
|
|
|
0
|
my $descendant_index = $shcl_obj->{_descendant_index}; |
448
|
|
|
|
|
|
|
# record the index of this descendant in the forgotten_nodes list |
449
|
0
|
|
|
|
|
0
|
$antecedent->{_forgotten_nodes_offsets}->{$descendant_index} = 1; |
450
|
|
|
|
|
|
|
# flag the antecedent as not having this descendant in the queue |
451
|
0
|
|
|
|
|
0
|
$antecedent->{_descendants_produced}->[$descendant_index] = 0; |
452
|
0
|
|
|
|
|
0
|
$antecedent->{_descendant_fcosts}->[$descendant_index] = -1; |
453
|
|
|
|
|
|
|
# flag the ancestor node as having deleted a descendant |
454
|
0
|
|
|
|
|
0
|
$antecedent->descendants_deleted(1); |
455
|
|
|
|
|
|
|
# update the number of descendants this node has in memory |
456
|
0
|
|
|
|
|
0
|
$antecedent->{_num_successors_in_mem} = $antecedent->{_num_successors_in_mem} - 1; |
457
|
|
|
|
|
|
|
# update the total number of nodes in the queue. |
458
|
0
|
|
|
|
|
0
|
$num_states_in_queue--; |
459
|
|
|
|
|
|
|
|
460
|
|
|
|
|
|
|
} |
461
|
|
|
|
|
|
|
} # end if (num_states_on_queue > max_states) |
462
|
|
|
|
|
|
|
|
463
|
|
|
|
|
|
|
# if there is a successor to $best, insert it in the priority queue. |
464
|
5
|
50
|
|
|
|
16
|
if($succ){ |
465
|
5
|
|
|
|
|
15
|
$$priority_queue->insert($succ); |
466
|
5
|
|
|
|
|
213
|
$best->{_num_successors_in_mem} = $best->{_num_successors_in_mem} + 1; |
467
|
|
|
|
|
|
|
} |
468
|
|
|
|
|
|
|
else{ |
469
|
0
|
|
|
|
|
0
|
croak "Error: no successor to insert\n"; |
470
|
|
|
|
|
|
|
} |
471
|
|
|
|
|
|
|
} |
472
|
|
|
|
|
|
|
} |
473
|
|
|
|
|
|
|
continue { |
474
|
5
|
|
|
|
|
16
|
$iteration++; |
475
|
|
|
|
|
|
|
} |
476
|
|
|
|
|
|
|
|
477
|
0
|
|
|
|
|
0
|
print "\n\nreturning unsuccessfully. iteration: $iteration\n"; |
478
|
0
|
|
|
|
|
0
|
return; |
479
|
|
|
|
|
|
|
} |
480
|
|
|
|
|
|
|
} |
481
|
|
|
|
|
|
|
|
482
|
|
|
|
|
|
|
|
483
|
|
|
|
|
|
|
|
484
|
|
|
|
|
|
|
|
485
|
|
|
|
|
|
|
sub max |
486
|
|
|
|
|
|
|
{ |
487
|
5
|
|
|
5
|
0
|
9
|
my ($n1, $n2) = @_; |
488
|
5
|
50
|
|
|
|
13
|
return ($n1 > $n2 ? $n1 : $n2); |
489
|
|
|
|
|
|
|
} |
490
|
|
|
|
|
|
|
|
491
|
|
|
|
|
|
|
|
492
|
|
|
|
|
|
|
sub fp_compare { |
493
|
0
|
|
|
0
|
0
|
|
my ($a, $b, $dp) = @_; |
494
|
0
|
|
|
|
|
|
my $a_seq = sprintf("%.${dp}g", $a); |
495
|
0
|
|
|
|
|
|
my $b_seq = sprintf("%.${dp}g", $b); |
496
|
|
|
|
|
|
|
|
497
|
|
|
|
|
|
|
|
498
|
|
|
|
|
|
|
|
499
|
0
|
0
|
|
|
|
|
if($a_seq eq $b_seq){ |
|
|
0
|
|
|
|
|
|
500
|
0
|
|
|
|
|
|
return 0; |
501
|
|
|
|
|
|
|
} |
502
|
|
|
|
|
|
|
elsif($a_seq lt $b_seq){ |
503
|
0
|
|
|
|
|
|
return -1; |
504
|
|
|
|
|
|
|
} |
505
|
|
|
|
|
|
|
else{ |
506
|
0
|
|
|
|
|
|
return 1; |
507
|
|
|
|
|
|
|
} |
508
|
|
|
|
|
|
|
} |
509
|
|
|
|
|
|
|
|
510
|
|
|
|
|
|
|
|
511
|
|
|
|
|
|
|
|
512
|
|
|
|
|
|
|
|
513
|
|
|
|
|
|
|
|
514
|
|
|
|
|
|
|
1; |
515
|
|
|
|
|
|
|
__END__ |