|  line  | 
 stmt  | 
 bran  | 
 cond  | 
 sub  | 
 pod  | 
 time  | 
 code  | 
| 
1
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 package Games::AlphaBeta;  | 
| 
2
 | 
2
 | 
 
 | 
 
 | 
  
2
  
 | 
 
 | 
46102
 | 
 use base qw(Games::Sequential);  | 
| 
 
 | 
2
 | 
 
 | 
 
 | 
 
 | 
 
 | 
7
 | 
    | 
| 
 
 | 
2
 | 
 
 | 
 
 | 
 
 | 
 
 | 
958
 | 
    | 
| 
3
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
4
 | 
2
 | 
 
 | 
 
 | 
  
2
  
 | 
 
 | 
10
 | 
 use Carp;  | 
| 
 
 | 
2
 | 
 
 | 
 
 | 
 
 | 
 
 | 
5
 | 
    | 
| 
 
 | 
2
 | 
 
 | 
 
 | 
 
 | 
 
 | 
109
 | 
    | 
| 
5
 | 
2
 | 
 
 | 
 
 | 
  
2
  
 | 
 
 | 
31
 | 
 use 5.006001;  | 
| 
 
 | 
2
 | 
 
 | 
 
 | 
 
 | 
 
 | 
6
 | 
    | 
| 
 
 | 
2
 | 
 
 | 
 
 | 
 
 | 
 
 | 
59
 | 
    | 
| 
6
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
7
 | 
2
 | 
 
 | 
 
 | 
  
2
  
 | 
 
 | 
10
 | 
 use strict;  | 
| 
 
 | 
2
 | 
 
 | 
 
 | 
 
 | 
 
 | 
4
 | 
    | 
| 
 
 | 
2
 | 
 
 | 
 
 | 
 
 | 
 
 | 
49
 | 
    | 
| 
8
 | 
2
 | 
 
 | 
 
 | 
  
2
  
 | 
 
 | 
8
 | 
 use warnings;  | 
| 
 
 | 
2
 | 
 
 | 
 
 | 
 
 | 
 
 | 
11
 | 
    | 
| 
 
 | 
2
 | 
 
 | 
 
 | 
 
 | 
 
 | 
1515
 | 
    | 
| 
9
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
10
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
11
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 our $VERSION = '0.4.7';  | 
| 
12
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
13
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =head1 NAME  | 
| 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
15
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Games::AlphaBeta - game-tree search with object oriented interface  | 
| 
16
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
17
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =head1 SYNOPSIS  | 
| 
18
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
19
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     package My::GamePos;  | 
| 
20
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     use base qw(Games::AlphaBeta::Position);  | 
| 
21
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
22
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     # initialise starting position  | 
| 
23
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     sub _init { ... }  | 
| 
24
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
25
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     # Methods required by Games::AlphaBeta  | 
| 
26
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     sub apply { ... }  | 
| 
27
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     sub endpos { ... }          # optional  | 
| 
28
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     sub evaluate { ... }  | 
| 
29
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     sub findmoves { ... }  | 
| 
30
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
31
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     # Draw a position in the game (optional)  | 
| 
32
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     sub draw { ... }  | 
| 
33
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
34
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     package main;  | 
| 
35
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     my $pos = My::GamePos->new;  | 
| 
36
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     my $game = Games::AlphaBeta->new($pos);  | 
| 
37
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
38
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     while ($game->abmove) {  | 
| 
39
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
         print draw($game->peek_pos);  | 
| 
40
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     }  | 
| 
41
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
42
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =head1 DESCRIPTION  | 
| 
43
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
44
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Games::AlphaBeta provides a generic implementation of the  | 
| 
45
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 AlphaBeta game-tree search algorithm (also known as MiniMax  | 
| 
46
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 search with alpha beta pruning). This algorithm can be used to  | 
| 
47
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 find the best move at a particular position in any two-player,  | 
| 
48
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 zero-sum game with perfect information. Examples of such games  | 
| 
49
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 include Chess, Othello, Connect4, Go, Tic-Tac-Toe and many, many  | 
| 
50
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 other boardgames.   | 
| 
51
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
52
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Users must pass an object representing the initial state of the  | 
| 
53
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 game as the first argument to C. This object must provide  | 
| 
54
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 the following methods: C, C, C,  | 
| 
55
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 C and C. This is explained more  | 
| 
56
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 carefully in L which is a base class  | 
| 
57
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 you can use to implement your position object.  | 
| 
58
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
59
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =head1 INHERITED METHODS  | 
| 
60
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
61
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 The following methods are inherited from L:  | 
| 
62
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
63
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =over  | 
| 
64
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
65
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =item new  | 
| 
66
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
67
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =item debug   | 
| 
68
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
69
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =item peek_pos  | 
| 
70
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
71
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =item peek_move  | 
| 
72
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
73
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =item move   | 
| 
74
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
75
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =item undo  | 
| 
76
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
77
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =back  | 
| 
78
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
79
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =head1 METHODS  | 
| 
80
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
81
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =over   | 
| 
82
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
83
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =item _init [@list]  | 
| 
84
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
85
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 I  | 
| 
86
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
87
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Initialize an AlphaBeta object.  | 
| 
88
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
89
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =cut  | 
| 
90
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
91
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub _init {  | 
| 
92
 | 
2
 | 
 
 | 
 
 | 
  
2
  
 | 
 
 | 
25
 | 
     my $self = shift;  | 
| 
93
 | 
2
 | 
 
 | 
 
 | 
 
 | 
 
 | 
15
 | 
     my %config = (  | 
| 
94
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
         # Runtime variables  | 
| 
95
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
         ply         => 2,       # default search depth  | 
| 
96
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
         alpha       => -100_000,  | 
| 
97
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
         beta        => 100_000,  | 
| 
98
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     );  | 
| 
99
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
100
 | 
2
 | 
 
 | 
 
 | 
 
 | 
 
 | 
18
 | 
     @$self{keys %config} = values %config;  | 
| 
101
 | 
2
 | 
 
 | 
 
 | 
 
 | 
 
 | 
23
 | 
     $self->SUPER::_init(@_);  | 
| 
102
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
103
 | 
2
 | 
 
 | 
 
 | 
 
 | 
 
 | 
18
 | 
     my $pos = $self->peek_pos;  | 
| 
104
 | 
2
 | 
  
 50
  
 | 
 
 | 
 
 | 
 
 | 
21
 | 
     croak "no endpos() method defined" unless $pos->can("endpos");  | 
| 
105
 | 
2
 | 
  
 50
  
 | 
 
 | 
 
 | 
 
 | 
10
 | 
     croak "no evaluate() method defined" unless $pos->can("evaluate");  | 
| 
106
 | 
2
 | 
  
 50
  
 | 
 
 | 
 
 | 
 
 | 
12
 | 
     croak "no findmoves() method defined" unless $pos->can("findmoves");  | 
| 
107
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
108
 | 
2
 | 
 
 | 
 
 | 
 
 | 
 
 | 
10
 | 
     return $self;  | 
| 
109
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
110
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
111
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
112
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =item ply [$value]  | 
| 
113
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
114
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Return current default search depth and, if invoked with an  | 
| 
115
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 argument, set to new value.  | 
| 
116
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
117
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =cut  | 
| 
118
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
119
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub ply {  | 
| 
120
 | 
1
 | 
 
 | 
 
 | 
  
1
  
 | 
  
1
  
 | 
2
 | 
     my $self = shift;  | 
| 
121
 | 
1
 | 
 
 | 
 
 | 
 
 | 
 
 | 
3
 | 
     my $prev = $self->{ply};  | 
| 
122
 | 
1
 | 
  
 50
  
 | 
 
 | 
 
 | 
 
 | 
4
 | 
     $self->{ply} = shift if @_;  | 
| 
123
 | 
1
 | 
 
 | 
 
 | 
 
 | 
 
 | 
5
 | 
     return $prev;  | 
| 
124
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
125
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
126
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
127
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =item abmove [$ply]  | 
| 
128
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
129
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Perform the best move found after an AlphaBeta game-tree search  | 
| 
130
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 to depth $ply. If $ply is not specified, the default depth is  | 
| 
131
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 used (see C). The best move found is performed and a  | 
| 
132
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 reference to the resulting position is returned on success, and  | 
| 
133
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 undef is returned on failure.  | 
| 
134
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
135
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Note that this function can take a long time if $ply is high,  | 
| 
136
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 particularly if the game in question has many possible moves at  | 
| 
137
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 each position.  | 
| 
138
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
139
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 If C is set, some basic debugging is printed as the  | 
| 
140
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 search progresses.  | 
| 
141
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
142
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =cut  | 
| 
143
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
144
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub abmove {  | 
| 
145
 | 
64
 | 
 
 | 
 
 | 
  
64
  
 | 
  
1
  
 | 
82810
 | 
     my $self = shift;  | 
| 
146
 | 
64
 | 
 
 | 
 
 | 
 
 | 
 
 | 
106
 | 
     my $ply;  | 
| 
147
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
148
 | 
64
 | 
  
100
  
 | 
 
 | 
 
 | 
 
 | 
183
 | 
     if (@_) {  | 
| 
149
 | 
1
 | 
 
 | 
 
 | 
 
 | 
 
 | 
9
 | 
         $ply = shift;  | 
| 
150
 | 
1
 | 
  
 50
  
 | 
 
 | 
 
 | 
 
 | 
5
 | 
         print "Explicit ply $ply overrides default ($self->{ply})\n" if $self->{debug};  | 
| 
151
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     }  | 
| 
152
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     else {  | 
| 
153
 | 
63
 | 
 
 | 
 
 | 
 
 | 
 
 | 
172
 | 
         $ply = $self->{ply};  | 
| 
154
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     }  | 
| 
155
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
156
 | 
64
 | 
 
 | 
 
 | 
 
 | 
 
 | 
87
 | 
     my (@moves, $bestmove);  | 
| 
157
 | 
64
 | 
 
 | 
 
 | 
 
 | 
 
 | 
80
 | 
     my $bestmove_valid = 0;  | 
| 
158
 | 
64
 | 
 
 | 
 
 | 
 
 | 
 
 | 
190
 | 
     my $pos = $self->peek_pos;  | 
| 
159
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
160
 | 
64
 | 
  
 50
  
 | 
 
 | 
 
 | 
 
 | 
251
 | 
     return if $pos->endpos;  | 
| 
161
 | 
64
 | 
  
100
  
 | 
 
 | 
 
 | 
 
 | 
218
 | 
     return unless @moves = $pos->findmoves;  | 
| 
162
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
163
 | 
63
 | 
 
 | 
 
 | 
 
 | 
 
 | 
161
 | 
     my $alpha = $self->{alpha};  | 
| 
164
 | 
63
 | 
 
 | 
 
 | 
 
 | 
 
 | 
102
 | 
     my $beta = $self->{beta};  | 
| 
165
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
166
 | 
63
 | 
  
 50
  
 | 
 
 | 
 
 | 
 
 | 
182
 | 
     print "Searching to depth $ply\n" if $self->{debug};  | 
| 
167
 | 
63
 | 
 
 | 
 
 | 
 
 | 
 
 | 
168
 | 
     $self->{found_end} = $self->{count} = 0;  | 
| 
168
 | 
63
 | 
 
 | 
 
 | 
 
 | 
 
 | 
102
 | 
     for my $move (@moves) {  | 
| 
169
 | 
499
 | 
 
 | 
 
 | 
 
 | 
 
 | 
726
 | 
         my ($npos, $sc);  | 
| 
170
 | 
499
 | 
 
 | 
 
 | 
 
 | 
 
 | 
2166
 | 
         $npos = $pos->copy;  | 
| 
171
 | 
499
 | 
  
 50
  
 | 
 
 | 
 
 | 
 
 | 
2088
 | 
         $npos->apply($move) or croak "apply() failed";  | 
| 
172
 | 
499
 | 
 
 | 
 
 | 
 
 | 
 
 | 
1699
 | 
         $sc = -$self->_alphabeta($npos, -$beta, -$alpha, $ply - 1);  | 
| 
173
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
174
 | 
499
 | 
  
 50
  
 | 
 
 | 
 
 | 
 
 | 
2092
 | 
         print "ab val: $sc" if $self->{debug};  | 
| 
175
 | 
499
 | 
  
100
  
 | 
 
 | 
 
 | 
 
 | 
1203
 | 
         if ($sc > $alpha) {  | 
| 
176
 | 
125
 | 
  
 50
  
 | 
 
 | 
 
 | 
 
 | 
294
 | 
             print " > $alpha new best move" if $self->{debug};  | 
| 
177
 | 
125
 | 
 
 | 
 
 | 
 
 | 
 
 | 
162
 | 
             $bestmove_valid = 1;  | 
| 
178
 | 
125
 | 
 
 | 
 
 | 
 
 | 
 
 | 
174
 | 
             $bestmove = $move;  | 
| 
179
 | 
125
 | 
 
 | 
 
 | 
 
 | 
 
 | 
159
 | 
             $alpha = $sc;  | 
| 
180
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
         }  | 
| 
181
 | 
499
 | 
  
 50
  
 | 
 
 | 
 
 | 
 
 | 
6081
 | 
         print "\n" if $self->{debug};  | 
| 
182
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     }  | 
| 
183
 | 
63
 | 
  
 50
  
 | 
 
 | 
 
 | 
 
 | 
237
 | 
     print "$self->{count} visited\n" if $self->{debug};  | 
| 
184
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
185
 | 
63
 | 
  
 50
  
 | 
 
 | 
 
 | 
 
 | 
121
 | 
     return unless $bestmove_valid;  | 
| 
186
 | 
63
 | 
 
 | 
 
 | 
 
 | 
 
 | 
410
 | 
     return $self->move($bestmove);  | 
| 
187
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
188
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
189
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
190
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =item _alphabeta $pos $alpha $beta $ply  | 
| 
191
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
192
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 I  | 
| 
193
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
194
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =cut  | 
| 
195
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
196
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub _alphabeta {  | 
| 
197
 | 
2878
 | 
 
 | 
 
 | 
  
2878
  
 | 
 
 | 
4370
 | 
     my ($self, $pos, $alpha, $beta, $ply) = @_;  | 
| 
198
 | 
2878
 | 
 
 | 
 
 | 
 
 | 
 
 | 
2909
 | 
     my @moves;  | 
| 
199
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
200
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     # Keep count of the number of positions we've seen  | 
| 
201
 | 
2878
 | 
 
 | 
 
 | 
 
 | 
 
 | 
4819
 | 
     $self->{count}++;  | 
| 
202
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
203
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     # When using iterative deepening we can optimise for the case  | 
| 
204
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     # when we find an end position at every branch (for example,  | 
| 
205
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     # near the end of the game)  | 
| 
206
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     #  | 
| 
207
 | 
2878
 | 
  
 50
  
 | 
 
 | 
 
 | 
 
 | 
11076
 | 
     if ($pos->endpos) {  | 
| 
 
 | 
 
 | 
  
100
  
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
208
 | 
0
 | 
 
 | 
 
 | 
 
 | 
 
 | 
0
 | 
         $self->{found_end}++;  | 
| 
209
 | 
0
 | 
 
 | 
 
 | 
 
 | 
 
 | 
0
 | 
         return $pos->evaluate;  | 
| 
210
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     }  | 
| 
211
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     elsif ($ply <= 0) {  | 
| 
212
 | 
2331
 | 
 
 | 
 
 | 
 
 | 
 
 | 
7049
 | 
         return $pos->evaluate;  | 
| 
213
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     }  | 
| 
214
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
215
 | 
547
 | 
  
100
  
 | 
 
 | 
 
 | 
 
 | 
2170
 | 
     unless (@moves = $pos->findmoves) {  | 
| 
216
 | 
1
 | 
 
 | 
 
 | 
 
 | 
 
 | 
2
 | 
         $self->{found_end}++;  | 
| 
217
 | 
1
 | 
 
 | 
 
 | 
 
 | 
 
 | 
4
 | 
         return $pos->evaluate;  | 
| 
218
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     }  | 
| 
219
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
220
 | 
546
 | 
 
 | 
 
 | 
 
 | 
 
 | 
1569
 | 
     for my $move (@moves) {  | 
| 
221
 | 
2379
 | 
 
 | 
 
 | 
 
 | 
 
 | 
3035
 | 
         my ($npos, $sc);  | 
| 
222
 | 
2379
 | 
  
 50
  
 | 
 
 | 
 
 | 
 
 | 
9895
 | 
         $npos = $pos->copy or croak "$pos->copy() failed";  | 
| 
223
 | 
2379
 | 
  
 50
  
 | 
 
 | 
 
 | 
 
 | 
8764
 | 
         $npos->apply($move) or croak "$pos->apply() failed";  | 
| 
224
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
225
 | 
2379
 | 
 
 | 
 
 | 
 
 | 
 
 | 
8581
 | 
         $sc = -$self->_alphabeta($npos, -$beta, -$alpha, $ply - 1);  | 
| 
226
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
227
 | 
2379
 | 
  
100
  
 | 
 
 | 
 
 | 
 
 | 
6437
 | 
         $alpha = $sc if $sc > $alpha;  | 
| 
228
 | 
2379
 | 
  
100
  
 | 
 
 | 
 
 | 
 
 | 
21643
 | 
         last unless $alpha < $beta;  | 
| 
229
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     }  | 
| 
230
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
231
 | 
546
 | 
 
 | 
 
 | 
 
 | 
 
 | 
3577
 | 
     return $alpha;  | 
| 
232
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
233
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
234
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
235
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 1;  # ensure using this module works  | 
| 
236
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 __END__  |