/[symmetry-circle]/symmetry.pl
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Revision 7 - (hide annotations)
Sun Aug 26 14:45:26 2007 UTC (11 years, 7 months ago) by dpavlin
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File size: 4566 byte(s)
simplify code, use brute force! :-)
1 dpavlin 1 #!/usr/bin/perl -w
2    
3     # symmetry.pl
4     #
5     # 08/26/07 02:40:37 CEST Dobrica Pavlinusic <dpavlin@rot13.org>
6    
7     use strict;
8    
9     my $board = << '_BOARD_';
10     +-+-+-+-+-+-+-+-+
11     | | |o| | |
12     + + +-+ +-+ |
13     |o| | o | o |
14     + + +-+ +-+ |
15     | | o | | |
16     +-+-+ +-+-+-+-+
17     | | |o| |
18     +-+ + +-+-+ +-+
19     | |o| |o|o|o|o|
20     + + +-+-+-+-+ +-+
21     |o| | | |
22     + +-+-+-+-+-+-+-+
23     | | o |
24     +-+-+-+-+-+-+-+-+
25     | o | o |
26     +-+-+-+-+-+-+-+-+
27     _BOARD_
28    
29 dpavlin 4 my $debug = shift @ARGV || 0;
30    
31 dpavlin 1 my @board = map { split(//) } split(/\n/, $board);
32 dpavlin 3 my @trace;
33 dpavlin 6 my @visited = (' ') x ($#board + 1);
34 dpavlin 1
35     # line length
36     my $ll = 8 * 2 + 1;
37    
38 dpavlin 3 my @step_name = ( qw/right down left up/ );
39     my @move_by = ( 1, $ll, -1, -$ll );
40     my $step = 0; # right
41    
42     # offset 0, top-left corner
43     my $pos = 0;
44    
45     # unknown trace position
46     my $unknown = ' ';
47    
48 dpavlin 4 # path traversed
49     my @directions;
50    
51 dpavlin 5 my @shapes_found;
52 dpavlin 4
53 dpavlin 5 my @shapes_start = ( '0,0' ); #( qw/0,0 1,0 0,3/ );
54    
55 dpavlin 1 sub draw {
56     my $o = 0;
57 dpavlin 6 my $out = "\n " . join('',
58     ('0 1 2 3 4 5 6 7 8 | ') x 3
59     ) . "\n";
60 dpavlin 1 while ( $o < $#board ) {
61 dpavlin 6 my $l = '|';
62     if ( $o % ($ll*2) == 0) {
63     my $y = int($o / ($ll*2));
64     $out .= "$y ";
65     $l = $y;
66     } else {
67     $out .= " ";
68     }
69    
70 dpavlin 3 $out .= join('', @board[ $o .. $o + $ll - 1 ]);
71 dpavlin 6 $out .= " $l ";
72 dpavlin 3 $out .= join('', @trace[ $o .. $o + $ll - 1 ]);
73 dpavlin 6 $out .= " $l ";
74     $out .= join('', @visited[ $o .. $o + $ll - 1 ]);
75     $out .= " $l\n";
76 dpavlin 1 $o += $ll;
77     }
78 dpavlin 6
79     $out .= "\n";
80    
81 dpavlin 1 return $out;
82     }
83    
84     sub trace {
85 dpavlin 3 warn "## trace $pos\n";
86 dpavlin 1 $trace[ $pos ] = $board[ $pos ];
87 dpavlin 6 $visited[$pos]++;
88 dpavlin 1 }
89    
90 dpavlin 6 sub x_y {
91     my $p = shift;
92 dpavlin 5
93 dpavlin 7 $p ||= $pos;
94 dpavlin 5
95 dpavlin 6 my $y = int($p / ($ll*2));
96     my $x = int(($p % $ll) / 2);
97 dpavlin 5
98 dpavlin 7 warn "## x_y($p) -> $x,$y\n";
99 dpavlin 5
100 dpavlin 6 # return ($x,$y) if wantarray;
101 dpavlin 5 return "$x,$y";
102     }
103    
104 dpavlin 1 sub move {
105     $pos += $move_by[ $step ];
106     trace;
107     $pos += $move_by[ $step ];
108     trace;
109 dpavlin 4 push @directions, $step;
110 dpavlin 6 warn "move $step $step_name[$step] to ", x_y, "\n";
111 dpavlin 1 }
112    
113     sub follow {
114     $step = shift;
115     $step %= 4;
116     warn "follow $step $step_name[$step]\n";
117     }
118    
119     my $ok_path = qr/[\|\-]/;
120    
121 dpavlin 7 my @corners;
122    
123 dpavlin 1 sub can_turn {
124 dpavlin 2 my $try_step = shift;
125     die "no step?" unless defined $try_step;
126 dpavlin 1
127 dpavlin 2 $try_step %= 4;
128 dpavlin 1
129 dpavlin 2 my $turn_pos = $pos + $move_by[$try_step];
130    
131 dpavlin 1 my $old = $trace[ $turn_pos ];
132     $trace[ $turn_pos ] = '?';
133 dpavlin 6 $trace[ $pos ] = '*';
134     warn "TEST ", x_y($turn_pos), "\n",draw;
135 dpavlin 1 $trace[ $turn_pos ] = $old;
136    
137     if ( $board[ $turn_pos ] =~ $ok_path ) {
138 dpavlin 7 my $xy = x_y($turn_pos);
139     warn "OK can_turn $try_step $step_name[$try_step] turn_pos = $turn_pos b($board[$turn_pos]) t($trace[$turn_pos]) to $xy\n";
140 dpavlin 2 $step = $try_step;
141 dpavlin 7 push @corners, $xy;
142 dpavlin 1 return 1;
143     } else {
144 dpavlin 5 warn "NOPE can_turn $try_step $step_name[$try_step] turn_pos = $turn_pos b($board[$turn_pos]) t($trace[$turn_pos])\n";
145 dpavlin 1 return 0;
146     }
147     }
148    
149 dpavlin 4 sub show_directions {
150     return
151     join('',
152     map {
153     substr($step_name[$_],0,1)
154     } @directions
155     )
156     ;
157     }
158    
159 dpavlin 3 sub shape {
160 dpavlin 1
161 dpavlin 3 my ($x,$y) = @_;
162 dpavlin 1
163 dpavlin 3 $pos = $y * $ll * 2 + $x * 2;
164    
165     @trace = ($unknown) x ( $#board + 1 );
166 dpavlin 4 @directions = ();
167 dpavlin 7 @corners = ();
168 dpavlin 3 trace;
169    
170     my $len = 0;
171 dpavlin 6 $step = 0;
172 dpavlin 3
173 dpavlin 6 warn "<<< shape from $x,$y pos: $pos\n";
174    
175 dpavlin 3 while( 1 ) {
176    
177     my $next_pos = $pos + $move_by[ $step ];
178 dpavlin 4 warn "# pos: $pos next_pos: $next_pos step: $step $step_name[$step] trace: ",show_directions,"\n";
179 dpavlin 3
180     if ( $trace[ $next_pos ] ne $unknown ) {
181     warn "position $next_pos re-visited, exiting\n";
182     last;
183     } elsif ( $board[ $next_pos ] =~ $ok_path ) {
184     warn "OK next_pos = $next_pos b($board[$next_pos]) t($trace[$next_pos])\n";
185     move;
186     $len++;
187     can_turn( $step + 1 );
188     } else {
189     warn "find line continuation from $step $step_name[$step]...\n";
190     can_turn( $step - 1 ) || can_turn( $step + 1 ) || die "can't find new direction";
191     }
192 dpavlin 6 warn draw;
193 dpavlin 3
194 dpavlin 4 if ( $debug ) {
195     print "WAIT> press enter | ",show_directions; my $foo = <STDIN>;
196     }
197 dpavlin 1 }
198    
199 dpavlin 5 push @shapes_found, { x => $x, y => $y, len => $len, directions => show_directions };
200 dpavlin 4
201 dpavlin 7 warn "### corners: ",join(' ', @corners),"\n";
202     warn ">>> ended at $pos, line length: $len, directions traversed: ",show_directions,"\n";
203 dpavlin 5
204 dpavlin 7 foreach my $c ( @corners ) {
205     if ( ! grep( /\Q$c\E/, @shapes_start ) ) {
206     warn "INFO: added corner $c as shape start\n";
207     push @shapes_start, $c;
208     }
209 dpavlin 5 }
210    
211 dpavlin 4 print "WAIT> press enter"; my $foo = <STDIN>;
212    
213 dpavlin 3 return $len;
214 dpavlin 1 }
215    
216 dpavlin 5 foreach my $start ( @shapes_start ) {
217 dpavlin 7 my ($x,$y) = split(/,/,$start);
218     if ( $x < 8 && $y < 8 ) {
219     my $len = shape( split(/,/,$start) );
220     warn "## $start has $len elements\n";
221     } else {
222     warn "SKIPPED $start\n";
223     }
224 dpavlin 3 }
225 dpavlin 4
226     print ">>> RESULTS:\n";
227 dpavlin 5 foreach my $r ( @shapes_found ) {
228 dpavlin 4 printf "%2d,%-2d len: %-4d directions: %s\n", $r->{x}, $r->{y}, $r->{len}, $r->{directions};
229     }

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