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package AI::Pathfinding::SMAstar; |
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35737
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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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78
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use Carp; |
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2780
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my $DEBUG = 0; |
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################################################## |
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# SMAstar constructor |
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40
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################################################## |
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sub new { |
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1
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my $invocant = shift; |
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1
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my $class = ref($invocant) || $invocant; |
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1
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my $self = { |
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46
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_priority_queue => AI::Pathfinding::SMAstar::PriorityQueue->new(), |
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_state_eval_func => undef, |
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48
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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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54
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55
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@_, # attribute override |
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}; |
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1
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6
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return bless $self, $class; |
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58
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} |
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59
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60
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61
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sub state_eval_func { |
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62
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0
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0
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1
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my $self = shift; |
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63
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0
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if (@_) { $self->{_state_eval_func} = shift } |
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0
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0
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64
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return $self->{_state_eval_func}; |
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65
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} |
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66
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67
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sub state_goal_p_func { |
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68
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0
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0
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1
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my $self = shift; |
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69
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0
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0
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if (@_) { $self->{_state_goal_p_func} = shift } |
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0
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0
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70
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0
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return $self->{_state_goal_p_func}; |
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71
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} |
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72
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73
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sub state_num_successors_func { |
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74
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0
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0
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1
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0
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my $self = shift; |
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75
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0
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0
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0
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if (@_) { $self->{_state_num_successors_func} = shift } |
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0
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0
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76
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0
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return $self->{_state_num_successors_func}; |
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77
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} |
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78
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79
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sub state_successors_iterator { |
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80
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0
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0
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1
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0
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my $self = shift; |
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81
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0
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0
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0
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if (@_) { $self->{_state_successors_iterator} = shift } |
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0
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0
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82
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0
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return $self->{_state_successors_iterator}; |
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83
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} |
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84
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85
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sub state_get_data_func { |
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86
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0
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0
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1
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0
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my $self = shift; |
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87
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0
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0
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0
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if (@_) { $self->{_state_get_data_func} = shift } |
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0
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0
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88
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0
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return $self->{_state_get_data_func}; |
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89
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} |
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90
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91
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sub show_prog_func { |
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92
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0
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0
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1
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0
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my $self = shift; |
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93
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0
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0
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0
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if (@_) { $self->{_show_prog_func} = shift } |
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0
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0
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94
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0
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0
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return $self->{_show_prog_func}; |
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95
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} |
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96
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97
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98
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99
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################################################################### |
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100
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# |
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101
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# Add a state from which to begin the search. There can |
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102
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# be multiple start-states. |
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103
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# |
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104
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################################################################### |
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105
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sub add_start_state |
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106
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{ |
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107
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2
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2
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0
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275
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my ($self, $state) = @_; |
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108
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109
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110
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2
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4
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my $state_eval_func = $self->{_state_eval_func}; |
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111
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2
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3
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my $state_goal_p_func = $self->{_state_goal_p_func}; |
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112
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2
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35
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my $state_num_successors_func = $self->{_state_num_successors_func}, |
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113
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my $state_successors_iterator = $self->{_state_successors_iterator}, |
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114
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my $state_get_data_func = $self->{_state_get_data_func}; |
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115
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116
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# make sure required functions have been defined |
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2
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50
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6
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if(!defined($state_eval_func)){ |
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118
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0
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0
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croak "SMAstar: evaluation function is not defined\n"; |
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119
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} |
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120
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2
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50
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4
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if(!defined($state_goal_p_func)){ |
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121
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0
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0
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croak "SMAstar: goal function is not defined\n"; |
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122
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} |
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123
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2
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50
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4
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if(!defined($state_num_successors_func)){ |
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124
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0
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0
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croak "SMAstar: num successors function is not defined\n"; |
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125
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} |
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126
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2
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50
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4
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if(!defined($state_successors_iterator)){ |
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127
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0
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0
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croak "SMAstar: successor iterator is not defined\n"; |
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128
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} |
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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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131
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2
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16
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my $state_obj = AI::Pathfinding::SMAstar::Path->new( |
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132
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_state => $state, |
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133
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_eval_func => $state_eval_func, |
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134
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_goal_p_func => $state_goal_p_func, |
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135
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_num_successors_func => $state_num_successors_func, |
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136
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_successors_iterator => $state_successors_iterator, |
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137
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_get_data_func => $state_get_data_func, |
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138
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); |
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139
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140
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141
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2
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6
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my $fcost = AI::Pathfinding::SMAstar::Path::fcost($state_obj); |
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142
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# check if the fcost of this node looks OK (is numeric) |
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143
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2
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50
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11
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unless(Scalar::Util::looks_like_number($fcost)){ |
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144
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0
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0
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croak "Error: f-cost of state is not numeric. Cannot add state to queue.\n"; |
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145
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} |
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146
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2
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15
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$state_obj->f_cost($fcost); |
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147
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148
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# check if the num_successors function returns a number |
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149
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2
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7
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my $num_successors = $state_obj->get_num_successors(); |
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150
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2
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50
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7
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unless(Scalar::Util::looks_like_number($num_successors)){ |
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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"; |
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152
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} |
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153
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154
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# test out the iterator function to make sure it returns |
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155
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# an object of the correct type |
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156
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2
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8
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my $classname = ref($state); |
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157
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2
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6
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my $test_successor_iterator = $state_obj->{_successors_iterator}->($state); |
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158
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2
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6
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my $test_successor = $test_successor_iterator->($state); |
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159
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2
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4
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my $succ_classname = ref($test_successor); |
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160
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161
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2
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50
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4
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unless($succ_classname eq $classname){ |
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162
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0
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0
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croak "Error: Successor iterator method of object $classname does " . |
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163
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"not return an object of type $classname.\n"; |
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164
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} |
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165
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166
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167
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# add this node to the queue |
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168
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2
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12
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$self->{_priority_queue}->insert($state_obj); |
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169
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170
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} |
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171
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172
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################################################################### |
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173
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# |
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174
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# start the SMAstar search process |
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175
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# |
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176
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################################################################### |
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177
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sub start_search |
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178
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{ |
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179
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1
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1
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1
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9
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my ($self, |
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180
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$log_function, |
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181
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$str_function, |
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182
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$max_states_in_queue, |
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183
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$max_cost, |
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184
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) = @_; |
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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)){ |
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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"; |
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} |
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sma_star_tree_search(\($self->{_priority_queue}), |
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\&AI::Pathfinding::SMAstar::Path::is_goal, |
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\&AI::Pathfinding::SMAstar::Path::get_descendants_iterator_smastar, |
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\&AI::Pathfinding::SMAstar::Path::fcost, |
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\&AI::Pathfinding::SMAstar::Path::backup_fvals, |
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$log_function, |
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$str_function, |
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\&AI::Pathfinding::SMAstar::Path::progress, |
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$self->{_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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} |
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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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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 = $$priority_queue->size(); |
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1
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1
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my $max_extra_states_in_queue = $max_states_in_queue; |
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1
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2
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$max_states_in_queue = $num_states_in_queue + $max_extra_states_in_queue; |
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1
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1
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my $max_depth = ($max_states_in_queue - $num_states_in_queue); |
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234
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1
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1
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my $best; # the best candidate for expansion |
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239
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1
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50
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33
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8
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if($$priority_queue->is_empty() || !$$priority_queue){ |
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0
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0
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return; |
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} |
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else{ |
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1
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2
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my $num_successors = 0; |
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244
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245
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# loop over the elements in the priority queue |
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246
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1
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3
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while(!$$priority_queue->is_empty()){ |
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247
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248
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# determine the current size of the queue |
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249
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6
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12
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my $num_states_in_queue = $$priority_queue->{_size}; |
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250
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# get the best candidate for expansion from the queue |
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251
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6
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18
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$best = $$priority_queue->deepest_lowest_cost_leaf_dont_remove(); |
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252
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253
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#------------------------------------------------------ |
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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){ |
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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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} |
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258
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else{ |
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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: " . $best->{_f_cost} . "\n"; |
|
261
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} |
|
262
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#------------------------------------------------------ |
|
263
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264
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265
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6
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100
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22
|
if($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
|
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
|
croak "\n\nSearch unsuccessful. max_cost reached (cost: $max_cost).\n"; |
|
272
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|
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} |
|
273
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else{ |
|
274
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5
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|
14
|
my $successors_iterator = $best->$successors_func(); |
|
275
|
5
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|
12
|
my $succ = $successors_iterator->(); |
|
276
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|
277
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5
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50
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|
15
|
if($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
|
33
|
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|
12
|
if($succ->depth() >= $max_depth && !$succ->$goal_p() ){ |
|
280
|
0
|
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|
|
0
|
$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
|
5
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|
13
|
$succ->{_f_cost} = max($eval_func->($succ), $eval_func->($best)); |
|
285
|
5
|
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|
|
10
|
my $descendant_index = $succ->{_descendant_index}; |
|
286
|
5
|
|
|
|
|
11
|
$best->{_descendant_fcosts}->[$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 $best is completed, and if so backup values |
|
291
|
5
|
50
|
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|
13
|
if($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
|
5
|
|
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|
|
6
|
my $fval_before_backup = $best->{_f_cost}; |
|
297
|
|
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|
|
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|
298
|
|
|
|
|
|
|
# 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
|
|
|
|
|
|
|
# Check if need for backup fvals |
|
309
|
5
|
|
|
|
|
12
|
$best->check_need_fval_change(); |
|
310
|
|
|
|
|
|
|
|
|
311
|
|
|
|
|
|
|
my $cmp_func = sub { |
|
312
|
4
|
|
|
4
|
|
5
|
my ($str) = @_; |
|
313
|
|
|
|
|
|
|
return sub{ |
|
314
|
0
|
|
|
|
|
0
|
my ($obj) = @_; |
|
315
|
0
|
|
|
|
|
0
|
my $obj_path_str = $str_function->($obj); |
|
316
|
0
|
0
|
|
|
|
0
|
if($obj_path_str eq $str){ |
|
317
|
0
|
|
|
|
|
0
|
return 1; |
|
318
|
|
|
|
|
|
|
} |
|
319
|
|
|
|
|
|
|
else{ |
|
320
|
0
|
|
|
|
|
0
|
return 0; |
|
321
|
|
|
|
|
|
|
} |
|
322
|
|
|
|
|
|
|
} |
|
323
|
5
|
|
|
|
|
26
|
}; |
|
|
4
|
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|
|
|
22
|
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|
324
|
|
|
|
|
|
|
|
|
325
|
5
|
|
|
|
|
7
|
my $antecedent = $best->{_antecedent}; |
|
326
|
5
|
|
|
|
|
4
|
my %was_on_queue; |
|
327
|
5
|
|
|
|
|
9
|
my $i = 0; |
|
328
|
|
|
|
|
|
|
|
|
329
|
|
|
|
|
|
|
# Now remove the offending nodes from queue, if any |
|
330
|
5
|
50
|
|
|
|
14
|
if($best->need_fval_change()){ |
|
331
|
|
|
|
|
|
|
|
|
332
|
|
|
|
|
|
|
# remove best from the queue |
|
333
|
5
|
|
|
|
|
16
|
$best = $$priority_queue->deepest_lowest_cost_leaf(); |
|
334
|
|
|
|
|
|
|
|
|
335
|
5
|
|
|
|
|
12
|
while($antecedent){ |
|
336
|
4
|
|
|
|
|
9
|
my $path_str = $str_function->($antecedent); |
|
337
|
|
|
|
|
|
|
|
|
338
|
4
|
50
|
33
|
|
|
61
|
if($antecedent->is_on_queue() && $antecedent->need_fval_change()){ |
|
339
|
4
|
|
|
|
|
6
|
$was_on_queue{$i} = 1; |
|
340
|
4
|
|
|
|
|
7
|
$$priority_queue->remove($antecedent, $cmp_func->($path_str)); |
|
341
|
|
|
|
|
|
|
} |
|
342
|
4
|
|
|
|
|
17
|
$antecedent = $antecedent->{_antecedent}; |
|
343
|
4
|
|
|
|
|
10
|
$i++; |
|
344
|
|
|
|
|
|
|
} |
|
345
|
|
|
|
|
|
|
} |
|
346
|
|
|
|
|
|
|
|
|
347
|
|
|
|
|
|
|
|
|
348
|
|
|
|
|
|
|
# Backup fvals |
|
349
|
5
|
50
|
|
|
|
13
|
if($best->need_fval_change()){ |
|
350
|
5
|
|
|
|
|
15
|
$best->$backup_func(); |
|
351
|
|
|
|
|
|
|
} |
|
352
|
|
|
|
|
|
|
|
|
353
|
|
|
|
|
|
|
|
|
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
|
|
|
|
|
|
|
# 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__ |