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package Chess::Rep::Coverage; |
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our $AUTHORITY = 'cpan:GENE'; |
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# ABSTRACT: Expose chess ply potential energy |
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use strict; |
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use warnings; |
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use parent 'Chess::Rep'; |
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use constant SIZE => 7; |
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our $VERSION = '0.1103'; |
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sub coverage { |
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my $self = shift; |
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# Get the state of the board |
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my $fen = $self->get_fen; |
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# Bucket of piece coverages to return |
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my $cover = {}; |
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# Set the numerical id => piece name lookup table |
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my %pieces; |
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@pieces{values %{+Chess::Rep::PIECE_TO_ID()}} = keys %{+Chess::Rep::PIECE_TO_ID()}; |
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# Look at each board position. |
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for my $row (0 .. SIZE) { |
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for my $col (0 .. SIZE) { |
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my $p = $self->get_piece_at($row, $col); # decimal of index |
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if ($p) { |
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my $c = Chess::Rep::piece_color($p); # 0=black, 0x80=white |
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my $i = Chess::Rep::get_index($row, $col); # $row << 4 | $col |
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my $f = Chess::Rep::get_field_id($i); # A-H, 1-8 |
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# Set the coverage properties for the piece. |
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$cover->{$f}{occupant} = $pieces{$p}; |
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$cover->{$f}{piece} = $p; |
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$cover->{$f}{color} = $c; |
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$cover->{$f}{index} = $i; |
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$cover->{$f}{protects} = []; |
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$cover->{$f}{threatens} = []; |
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# Kings are special-cased. |
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if ($p & 0x04) { |
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# Collect the moves of the piece. |
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$cover->{$f}{move} = $self->_fetch_new_moves($f, $i, $c); |
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# Inspect the positions surrounding the king. |
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for my $m ([$row, $col + 1], [$row + 1, $col], [$row + 1, $col + 1], [$row + 1, $col - 1], |
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[$row, $col - 1], [$row - 1, $col], [$row - 1, $col - 1], [$row - 1, $col + 1] |
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) { |
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my $x = Chess::Rep::get_index(@$m); |
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100
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next if $x & 0x88; |
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$self->_set_piece_status($cover, $f, $x, $c); |
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} |
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} |
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# Attacking pawns are special-cased. |
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elsif (($p & 0x01) && $self->to_move != $c) { |
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my $moves = $c == 0 |
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? [ [$row - 1, $col + 1], [$row - 1, $col - 1] ] |
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: [ [$row + 1, $col + 1], [$row + 1, $col - 1] ]; |
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# Add diagonal positions unless occupied. |
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for my $m (@$moves) { |
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next if $m->[0] < 0 || $m->[0] > SIZE |
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|| $m->[1] < 0 || $m->[1] > SIZE; |
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my $x = Chess::Rep::get_index(@$m); |
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$self->_set_piece_status($cover, $f, $x, $c); |
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# Collect the moves of the piece. |
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push @{ $cover->{$f}{move} }, $x; |
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} |
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} |
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else { |
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# Invert the FEN to compute all possible moves, threats and protections. |
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my $inverted = _invert_fen($fen, $row, $col, $c); |
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$self->set_from_fen($inverted); |
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# Collect the moves of the piece. |
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$cover->{$f}{move} = $self->_fetch_new_moves($f, $i, $c); |
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# Reset original game FEN. |
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$self->set_from_fen($fen); |
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# Find the threats and protections by the piece. |
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$self->_set_piece_status($cover, $f, $_, $c) for @{$cover->{$f}{move}}; |
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} |
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} |
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} |
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} |
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# Compute piece and position status. |
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for my $piece (keys %$cover) { |
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$cover->{$piece}{is_threatened_by} ||= []; |
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$cover->{$piece}{is_protected_by} ||= []; |
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# Compute protection status of a piece. |
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for my $index (@{$cover->{$piece}{protects}}) { |
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my $f = Chess::Rep::get_field_id($index); # A-H, 1-8 |
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push @{$cover->{$f}{is_protected_by}}, $cover->{$piece}{index}; |
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} |
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# Compute threat status of a piece. |
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for my $index (@{$cover->{$piece}{threatens}}) { |
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my $f = Chess::Rep::get_field_id($index); # A-H, 1-8 |
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push @{$cover->{$f}{is_threatened_by}}, $cover->{$piece}{index}; |
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} |
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# Compute move status of a position. |
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for my $index (@{$cover->{$piece}{move}}) { |
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my $p = $self->get_piece_at($index); |
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if (!$p) { |
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my $f = Chess::Rep::get_field_id($index); # A-H, 1-8 |
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$cover->{$f}{white_can_move_here} ||= []; |
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$cover->{$f}{black_can_move_here} ||= []; |
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my $color = $cover->{$piece}{color} ? 'white' : 'black'; |
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push @{$cover->{$f}{$color . '_can_move_here'}}, $cover->{$piece}{index}; |
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} |
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} |
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} |
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# Set the object coverage attribute. |
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$self->_cover($cover); |
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return $cover; |
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} |
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sub _invert_fen { |
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my ($fen, $row, $col, $color) = @_; |
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# Grab the board positions only. |
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my $suffix = ''; |
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if ($fen =~ /^(.+?)\s(.*)$/) { |
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($fen, $suffix) = ($1, $2); |
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} |
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# Convert pieces to all black or all white, given the piece color. |
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$fen = $color ? lc $fen : uc $fen; |
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# Split the FEN into rows. |
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my @fen = split /\//, $fen; # rows: 7..0, cols: 0..7 |
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# The FEN sections are the rows reversed. |
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$row = SIZE - $row; |
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my $position = 0; |
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my $counter = 0; |
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# Inspect each character in the row to find the position of the piece to invert. |
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for my $i (split //, $fen[$row]) { |
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# Increment the position if we are on a digit. |
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if ($i =~ /^\d$/) { |
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$position += $i; |
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} |
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else { |
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# Invert the piece character (to its original state) or increment the position. |
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102
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if ($position == $col) { |
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substr($fen[$row], $counter, 1) = $i ^ "\x20"; |
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last; |
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} |
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else { |
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# Next! |
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$position++; |
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} |
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} |
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166
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# Increment the loop counter. |
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$counter++; |
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} |
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return join('/', @fen) . " $suffix"; |
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} |
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sub _fetch_new_moves { |
174
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my $self = shift; |
175
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my($field, $index, $color) = @_; |
176
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# Set the "next to move" color to the piece. |
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111
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$self->to_move($color); |
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# Recompute the move status. |
179
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$self->compute_valid_moves; |
180
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# TODO Pawns can move diagonally to capture. That is a valid move in the abstract. |
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# Collect the moves of the piece. |
182
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45745
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return [ map { $_->{to} } grep { $_->{from} == $index } @{ $self->status->{moves} } ]; |
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191
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316
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183
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} |
184
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185
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sub _set_piece_status { |
186
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157
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my $self = shift; |
187
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192
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my($cover, $field, $index, $color) = @_; |
188
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# Only consider positions with pieces. |
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224
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my $p = $self->get_piece_at($index); |
190
|
99
|
100
|
|
|
|
1128
|
return unless $p; |
191
|
|
|
|
|
|
|
# Set the protection or threat status of the piece. |
192
|
46
|
100
|
|
|
|
94
|
if (Chess::Rep::piece_color($p) == $color) { |
193
|
|
|
|
|
|
|
# Any piece can be protected but a king. |
194
|
43
|
100
|
100
|
|
|
392
|
push @{$cover->{$field}{protects}}, $index |
|
40
|
|
|
|
|
181
|
|
195
|
|
|
|
|
|
|
unless $p == 4 or $p == 132; |
196
|
|
|
|
|
|
|
} |
197
|
|
|
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|
|
else { |
198
|
|
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|
|
|
# Any piece can be threatened. |
199
|
3
|
|
|
|
|
19
|
push @{$cover->{$field}{threatens}}, $index; |
|
3
|
|
|
|
|
11
|
|
200
|
|
|
|
|
|
|
} |
201
|
|
|
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|
|
|
} |
202
|
|
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|
203
|
|
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|
|
sub _cover { |
204
|
223
|
|
|
223
|
|
295
|
my $self = shift; |
205
|
223
|
100
|
|
|
|
399
|
$self->{cover} = shift if @_; |
206
|
223
|
|
|
|
|
529
|
return $self->{cover}; |
207
|
|
|
|
|
|
|
} |
208
|
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|
209
|
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|
210
|
|
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|
|
sub board { |
211
|
2
|
|
|
2
|
1
|
3440
|
my $self = shift; |
212
|
2
|
|
|
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|
7
|
my %args = @_; |
213
|
|
|
|
|
|
|
|
214
|
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|
|
# Compute coverage if has not been done yet. |
215
|
2
|
50
|
|
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|
4
|
$self->coverage unless $self->_cover; |
216
|
|
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|
217
|
|
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|
|
# Start rendering the board. |
218
|
2
|
|
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|
6
|
my $board = _ascii_board('header'); |
219
|
2
|
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|
|
5
|
$board .= _ascii_board('row'); |
220
|
|
|
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221
|
|
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|
|
|
# Look at each board position. |
222
|
2
|
|
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|
7
|
for my $row (reverse(1 .. 8)) { |
223
|
|
|
|
|
|
|
# Render the beginning of the row. |
224
|
16
|
|
|
|
|
30
|
$board .= $row . _ascii_board('cell_pad'); |
225
|
|
|
|
|
|
|
|
226
|
16
|
|
|
|
|
44
|
for my $col ('A' .. 'H') { |
227
|
|
|
|
|
|
|
# Render a new cell. |
228
|
128
|
|
|
|
|
207
|
$board .= _ascii_board('new_cell'); |
229
|
|
|
|
|
|
|
|
230
|
|
|
|
|
|
|
# Inspect the coverage at the column and row position. |
231
|
128
|
100
|
|
|
|
240
|
if ($self->_cover->{$col . $row}) { |
232
|
19
|
100
|
66
|
|
|
37
|
if (exists $self->_cover->{$col . $row}->{is_protected_by} and |
|
|
50
|
33
|
|
|
|
|
233
|
|
|
|
|
|
|
exists $self->_cover->{$col . $row}->{is_threatened_by} |
234
|
|
|
|
|
|
|
) { |
235
|
|
|
|
|
|
|
# Show threat and protection status. |
236
|
5
|
|
|
|
|
10
|
my $protects = $self->_cover->{$col . $row}->{is_protected_by}; |
237
|
5
|
|
|
|
|
11
|
my $threats = $self->_cover->{$col . $row}->{is_threatened_by}; |
238
|
5
|
|
|
|
|
14
|
$board .= @$protects . '/' . @$threats; |
239
|
|
|
|
|
|
|
# $board .= $self->_cover->{$col . $row}->{occupant}; |
240
|
|
|
|
|
|
|
} |
241
|
|
|
|
|
|
|
elsif (exists $self->_cover->{$col . $row}->{white_can_move_here} and |
242
|
|
|
|
|
|
|
exists $self->_cover->{$col . $row}->{black_can_move_here} |
243
|
|
|
|
|
|
|
) { |
244
|
|
|
|
|
|
|
# Show player movement status. |
245
|
14
|
|
|
|
|
23
|
my $whites = $self->_cover->{$col . $row}->{white_can_move_here}; |
246
|
14
|
|
|
|
|
21
|
my $blacks = $self->_cover->{$col . $row}->{black_can_move_here}; |
247
|
14
|
|
|
|
|
31
|
$board .= @$whites . ':' . @$blacks; |
248
|
|
|
|
|
|
|
# $board .= $self->_cover->{$col . $row}->{occupant}; |
249
|
|
|
|
|
|
|
} |
250
|
|
|
|
|
|
|
} |
251
|
|
|
|
|
|
|
else { |
252
|
|
|
|
|
|
|
# Render an empty cell. |
253
|
109
|
|
|
|
|
173
|
$board .= _ascii_board('empty_cell'); |
254
|
|
|
|
|
|
|
} |
255
|
|
|
|
|
|
|
|
256
|
|
|
|
|
|
|
# Render the end of a cell. |
257
|
128
|
|
|
|
|
221
|
$board .= _ascii_board('cell_pad'); |
258
|
|
|
|
|
|
|
# Render the end of a column if we have reached the last. |
259
|
128
|
100
|
|
|
|
306
|
$board .= _ascii_board('col_edge') if $col eq 'H'; |
260
|
|
|
|
|
|
|
} |
261
|
|
|
|
|
|
|
|
262
|
|
|
|
|
|
|
# Render the end of a row. |
263
|
16
|
|
|
|
|
31
|
$board .= "\n" . _ascii_board('row'); |
264
|
|
|
|
|
|
|
} |
265
|
|
|
|
|
|
|
|
266
|
2
|
|
|
|
|
9
|
return $board; |
267
|
|
|
|
|
|
|
} |
268
|
|
|
|
|
|
|
|
269
|
|
|
|
|
|
|
sub _ascii_board { |
270
|
417
|
|
|
417
|
|
625
|
my $section = shift; |
271
|
|
|
|
|
|
|
|
272
|
417
|
|
|
|
|
705
|
my ($cells, $size, $empty) = (8, 5, 3); |
273
|
|
|
|
|
|
|
|
274
|
417
|
|
|
|
|
895
|
my %board = ( |
275
|
|
|
|
|
|
|
cell_pad => ' ', |
276
|
|
|
|
|
|
|
col_edge => '|', |
277
|
|
|
|
|
|
|
corner => '+', |
278
|
|
|
|
|
|
|
row_edge => '-', |
279
|
|
|
|
|
|
|
); |
280
|
417
|
|
|
|
|
799
|
$board{edge} = $board{corner} . ($board{row_edge} x $size); |
281
|
417
|
|
|
|
|
858
|
$board{row} = ($board{cell_pad} x ($empty - 1)) . ($board{edge} x $cells) . $board{corner} . "\n"; |
282
|
417
|
|
|
|
|
662
|
$board{empty_cell} = $board{cell_pad} x $empty; |
283
|
417
|
|
|
|
|
686
|
$board{new_cell} = $board{col_edge} . $board{cell_pad}; |
284
|
417
|
|
|
|
|
998
|
$board{header} = ($board{cell_pad} x $size) . join($board{cell_pad} x $size, 'A' .. 'H') . "\n"; |
285
|
|
|
|
|
|
|
|
286
|
417
|
|
|
|
|
1036
|
return $board{$section}; |
287
|
|
|
|
|
|
|
} |
288
|
|
|
|
|
|
|
|
289
|
|
|
|
|
|
|
|
290
|
|
|
|
|
|
|
sub move_probability { |
291
|
0
|
|
|
0
|
1
|
|
my ($moves, $threat, $threatened, $protect, $protected) = @ARGV; |
292
|
|
|
|
|
|
|
|
293
|
|
|
|
|
|
|
# Bail-out unless the number of moves (greater than or equal to 0). |
294
|
0
|
0
|
0
|
|
|
|
die _usage() unless $moves and $moves >= 0; |
295
|
|
|
|
|
|
|
|
296
|
|
|
|
|
|
|
# Set threat penalty and protection rewards. |
297
|
0
|
|
|
|
|
|
$threat = _set_level('threat', $threat, $moves); |
298
|
0
|
|
|
|
|
|
$protect = _set_level('protect', $protect, $moves); |
299
|
|
|
|
|
|
|
|
300
|
|
|
|
|
|
|
# Create a piece that is unprotected, unthreatened and unbounded. |
301
|
0
|
|
|
|
|
|
my $piece = [ map { 1 / $_ } ($moves) x $moves ]; |
|
0
|
|
|
|
|
|
|
302
|
|
|
|
|
|
|
|
303
|
|
|
|
|
|
|
# Apply threatened and protected states to move probabilities. |
304
|
0
|
|
|
|
|
|
$piece = _influence($threatened, $threat, $piece, 'threat'); |
305
|
0
|
|
|
|
|
|
_output_state($piece); |
306
|
0
|
|
|
|
|
|
$piece = _influence($protected, $protect, $piece); |
307
|
0
|
|
|
|
|
|
_output_state($piece); |
308
|
|
|
|
|
|
|
} |
309
|
|
|
|
|
|
|
|
310
|
|
|
|
|
|
|
sub _influence { |
311
|
0
|
|
|
0
|
|
|
my($influenced, $score, $piece, $state) = @_; |
312
|
|
|
|
|
|
|
|
313
|
|
|
|
|
|
|
# "Move along. Nothing to compute here." |
314
|
0
|
0
|
|
|
|
|
return $piece unless $influenced; |
315
|
|
|
|
|
|
|
|
316
|
|
|
|
|
|
|
# Convenience variable for "size of piece" == "number of moves." |
317
|
0
|
|
|
|
|
|
my $size = @$piece - 1; |
318
|
|
|
|
|
|
|
|
319
|
|
|
|
|
|
|
# Traverse the influenced moves and compute the probabilities. |
320
|
0
|
|
|
|
|
|
for my $move (split ',', $influenced) { |
321
|
|
|
|
|
|
|
# Move counter. |
322
|
0
|
|
|
|
|
|
my $n = 0; |
323
|
|
|
|
|
|
|
|
324
|
|
|
|
|
|
|
# Re-evaluate each move given the threat value. |
325
|
0
|
|
|
|
|
|
for my $p (@$piece) { |
326
|
0
|
0
|
|
|
|
|
if ($n + 1 == $move) { |
327
|
|
|
|
|
|
|
# We've found an influenced move! |
328
|
0
|
0
|
|
|
|
|
$p = $state |
329
|
|
|
|
|
|
|
? $p - $score # For threats, add the score to the move. |
330
|
|
|
|
|
|
|
: $p + $score; # For protection, subract from the move. |
331
|
|
|
|
|
|
|
} |
332
|
|
|
|
|
|
|
else { |
333
|
|
|
|
|
|
|
# All moves not influenced. |
334
|
0
|
0
|
|
|
|
|
if ($size != 0) { |
335
|
0
|
0
|
|
|
|
|
$p = $state |
336
|
|
|
|
|
|
|
? $p + $score / $size # For threats, subtract a fraction of the score. |
337
|
|
|
|
|
|
|
: $p - $score / $size; # For protection, add a fraction of the score. |
338
|
|
|
|
|
|
|
} |
339
|
|
|
|
|
|
|
} |
340
|
|
|
|
|
|
|
|
341
|
|
|
|
|
|
|
# Increment the move number of the piece. |
342
|
0
|
|
|
|
|
|
$n++; |
343
|
|
|
|
|
|
|
} |
344
|
|
|
|
|
|
|
} |
345
|
|
|
|
|
|
|
|
346
|
|
|
|
|
|
|
# Make sure all elements sum to 1. |
347
|
0
|
|
|
|
|
|
_cross_check($piece); |
348
|
|
|
|
|
|
|
|
349
|
0
|
|
|
|
|
|
return $piece; |
350
|
|
|
|
|
|
|
} |
351
|
|
|
|
|
|
|
|
352
|
|
|
|
|
|
|
sub _output_state { |
353
|
0
|
|
|
0
|
|
|
my $piece = shift; |
354
|
0
|
|
|
|
|
|
my $i = 0; |
355
|
0
|
|
|
|
|
|
print 'P: ', join(' ', map { sprintf '%d:%.4f', ++$i, $_ } @$piece), "\n"; |
|
0
|
|
|
|
|
|
|
356
|
|
|
|
|
|
|
} |
357
|
|
|
|
|
|
|
|
358
|
|
|
|
|
|
|
sub _set_level { |
359
|
0
|
|
|
0
|
|
|
my ($level, $value, $moves) = @_; |
360
|
|
|
|
|
|
|
|
361
|
|
|
|
|
|
|
# Unless given, default value is zero. |
362
|
0
|
0
|
|
|
|
|
$value = defined $value ? $value : 0; |
363
|
|
|
|
|
|
|
# Bail out unless the value is either zero or greater than moves. |
364
|
0
|
0
|
|
|
|
|
die ucfirst($level) . "level must be zero or more.\n" if $value < 0; |
365
|
|
|
|
|
|
|
|
366
|
|
|
|
|
|
|
# Set a non-zero value in relation to the number of moves. |
367
|
0
|
0
|
|
|
|
|
$value = $moves + $value - 1 if $value > 0; |
368
|
|
|
|
|
|
|
|
369
|
|
|
|
|
|
|
# Make value something that can be used in probability equations. |
370
|
0
|
0
|
|
|
|
|
$value = 1 / $value if $value != 0; |
371
|
|
|
|
|
|
|
|
372
|
0
|
|
|
|
|
|
return $value; |
373
|
|
|
|
|
|
|
} |
374
|
|
|
|
|
|
|
|
375
|
|
|
|
|
|
|
sub _cross_check { |
376
|
0
|
|
|
0
|
|
|
my $vector = shift; |
377
|
0
|
|
|
|
|
|
my $sum = 0; |
378
|
|
|
|
|
|
|
# Make sure all elements sum to unity. |
379
|
0
|
|
|
|
|
|
$sum += $_ for @$vector; |
380
|
|
|
|
|
|
|
# TODO Make == work, instead of eq. |
381
|
0
|
0
|
|
|
|
|
warn "Sum: $sum\n" if $sum ne '1'; |
382
|
|
|
|
|
|
|
} |
383
|
|
|
|
|
|
|
|
384
|
|
|
|
|
|
|
sub _usage { |
385
|
0
|
|
|
0
|
|
|
return <
|
386
|
|
|
|
|
|
|
|
387
|
|
|
|
|
|
|
Compute probabilites of chess moves in a protective, threatening environment. |
388
|
|
|
|
|
|
|
|
389
|
|
|
|
|
|
|
Usage: perl $0 [0-9...] [0-9...] [t1,t2...] [0-9...] [p1,p2...] |
390
|
|
|
|
|
|
|
|
391
|
|
|
|
|
|
|
Ordered arguments: |
392
|
|
|
|
|
|
|
'moves' is the number of moves of a piece. |
393
|
|
|
|
|
|
|
For example, a unobstructed knight can make eight moves. |
394
|
|
|
|
|
|
|
'threat' is the value or score of a single threat. |
395
|
|
|
|
|
|
|
'threatened moves' is a CSV list of threatened move numbers. |
396
|
|
|
|
|
|
|
This means that you can be captured by your enemy if you move there. |
397
|
|
|
|
|
|
|
'protect' is the value or score of a single protection. |
398
|
|
|
|
|
|
|
'protected moves' is a CSV list of protected move numbers. |
399
|
|
|
|
|
|
|
This means that you will be protected by an ally if you move there. |
400
|
|
|
|
|
|
|
|
401
|
|
|
|
|
|
|
Examples: |
402
|
|
|
|
|
|
|
perl move-probability 8 # An unobstructed, unprotected knight |
403
|
|
|
|
|
|
|
perl move-probability 8 1 # Same |
404
|
|
|
|
|
|
|
perl move-probability 8 1 0 # Ditto |
405
|
|
|
|
|
|
|
perl move-probability 8 1 0 1 # " |
406
|
|
|
|
|
|
|
perl move-probability 8 1 0 1 0 # Right. Gotchya. 10-4 Good buddy. |
407
|
|
|
|
|
|
|
perl move-probability 8 1 1,8 # Threaten the 1st & 8th moves. |
408
|
|
|
|
|
|
|
perl move-probability 8 0 0 1 1,2 # Protect the 1st & 2nd moves. |
409
|
|
|
|
|
|
|
perl move-probability 8 1 1,8 1 1,2 # Protect & threaten |
410
|
|
|
|
|
|
|
perl move-probability 8 10 1,8 # Threaten with a penalty of 10. |
411
|
|
|
|
|
|
|
|
412
|
|
|
|
|
|
|
* This logic does not treat "not making a move" as a value, at the moment... |
413
|
|
|
|
|
|
|
USAGE |
414
|
|
|
|
|
|
|
} |
415
|
|
|
|
|
|
|
|
416
|
|
|
|
|
|
|
1; |
417
|
|
|
|
|
|
|
|
418
|
|
|
|
|
|
|
__END__ |