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%% Copyright 2008 Wentao Zheng
%
% This work may be distributed and/or modified under the conditions
% of the LaTeX Project Public License, either version 1.3 of this
% license or (at your option) any later version. The latest version
% of this license is in http://www.latex-project.org/lppl.txt and
% version 1.3 or later is part of all distributions of LaTeX version
% 2005/12/01 or later.
%
% This work has the LPPL maintenance status `maintained'.
%
% The Current Maintainer of this work is Wentao Zheng.
%
% This work consists of the file metago.mp
input string;
% --------------------------------
% debug variable and logger method
% --------------------------------
boolean _DEBUG;
_DEBUG = true;
vardef log text t=
if _DEBUG:
show t;
fi;
enddef;
% ------------------------
% Stack for pair variables
% ------------------------
% - declare a stack: stack.s
% - push a pair into a stack: s.push(<pair>)
% - pop a pair from a stack: <pair> = s.pop()
% - clear a stack: s.clear()
% - check whether a stack is empty: s.empty()
vardef stack@#=
string @#.value[];
numeric @#.top;
@#.top := 1;
enddef;
vardef pop@#=
save tmp;
string tmp;
if @#.top > 1:
@#.top := @#.top - 1;
tmp = @#.value[@#.top];
else:
tmp = "";
fi;
save p;
pair p;
p = scantokens(tmp);
(p)
enddef;
vardef push@# expr p=
@#.value[@#.top] := "(" & (decimal xpart p) & "," & (decimal ypart p) & ")";
@#.top := @#.top + 1;
enddef;
vardef empty@#=
(@#.top = 1)
enddef;
vardef clear@#=
@#.top := 1;
enddef;
%% determine whether two pairs are equal
vardef _is_pair_equal(expr p,q)=
((xpart p = xpart q) and (ypart p = ypart q))
enddef;
%% convert a pair to string with the form of "(x,y)"
vardef _point_str expr p=
((decimal xpart p) & "," & (decimal ypart p))
enddef;
% --------------------
% Parameters of MetaGo
% --------------------
u = 10pt; % !IMPORTANT, unit metric, DON'T user it or modify it
color board_color; % color of board background color
cell_width = 2u;
cell_line_width = .05u;
board_gap = 3u;
board_dot_d = .4u;
board_color = (1,200/255,100/255);
board_size = 19;
stone_d = .9cell_width;
stone_line_width = cell_line_width;
% -------------------------------------------
% Internal functions (DO NOT use/modify them)
% -------------------------------------------
% Go coord: 0-18, 0-18 (internal coord)
% MP coord: 0-18u + gap, 0-(-18u) + gap
transform GoToMP;
GoToMP := identity xscaled cell_width yscaled -cell_width
shifted (board_gap,-board_gap);
vardef mp_pos expr p=
(p transformed GoToMP)
enddef;
vardef draw_cell expr p=
save i,j;
i = xpart p;
j = ypart p;
draw (mp_pos (i,j)) -- (mp_pos (i+1,j)) -- (mp_pos (i+1,j+1))
-- (mp_pos (i,j+1)) -- cycle withpen pencircle scaled cell_line_width;
enddef;
vardef draw_dot expr p=
fill (fullcircle scaled board_dot_d) shifted (mp_pos p);
enddef;
vardef _draw_stone(expr p,c)=
save circ; path circ;
circ = (fullcircle scaled stone_d) shifted p;
fill circ withcolor c;
draw circ withpen pencircle scaled stone_line_width;
enddef;
vardef draw_stone@# expr p=
string type;
type = str @#;
if (type = "b") or (type = "B"):
_draw_stone((mp_pos p),black);
elseif (type = "w") or (type = "W"):
_draw_stone((mp_pos p),white);
else:
show "ERROR of stone type: " & type & "!!";
fi;
enddef;
% fout direction point of the pair p:
% up, down, left, right
% p \in (1-board_size,1-board_size)
% if p is one the edge of the board, return p itself
vardef _up expr p=
if (ypart p) = 1:
(xpart p, ypart p)
else:
(xpart p, ypart p - 1)
fi
enddef;
vardef _down expr p=
if (ypart p) = board_size:
(xpart p, ypart p)
else:
(xpart p, ypart p + 1)
fi
enddef;
vardef _left expr p=
if (xpart p) = 1:
(xpart p, ypart p)
else:
(xpart p - 1, ypart p)
fi
enddef;
vardef _right expr p=
if (xpart p) = board_size:
(xpart p, ypart p)
else:
(xpart p + 1, ypart p)
fi
enddef;
% board memory: 1 ~ board_size, 1 ~ board_size
% - 0 means empty
% - -1 means white
% - 1 means black
WHITE = -1;
BLACK = 1;
EMPTY = 0;
numeric mem[][];
for i=1 upto board_size:
for j=1 upto board_size:
mem[i][j] = EMPTY;
endfor;
endfor;
vardef MEM expr p=
if (xpart p < 1) or (xpart p > board_size)
or (ypart p < 1) or (ypart p > board_size):
(2)
else:
(mem[xpart p][ypart p])
fi
enddef;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%% Open functions for Go visualization %%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% draw empty Go board
vardef draw_board=
%% draw board side and fill color
save board; path board;
board = origin -- (mp_pos(board_size-1,0)) + (board_gap,board_gap)
-- (mp_pos(board_size-1,board_size-1)) + (board_gap,-board_gap)
-- (mp_pos(0,board_size-1)) + (-board_gap,-board_gap) -- cycle;
fill board withcolor board_color;
draw board;
%% draw cells
for i=0 upto board_size-2:
for j=0 upto board_size-2:
draw_cell (i,j);
endfor;
endfor;
%% draw dot if size = 19
if board_size = 19:
for i=3 step 6 until 15:
for j=3 step 6 until 15:
draw_dot (i,j);
endfor;
endfor;
fi;
enddef;
vardef _char expr p=
char(ASCII("A") + (p-1))
enddef;
%% draw label
vardef draw_label=
for i=1 upto board_size:
label(_char i, mp_pos(i-1,-1));
label(_char i, mp_pos(i-1,board_size));
label((decimal i), mp_pos(-1,board_size-i));
label((decimal i), mp_pos(board_size,board_size-i));
endfor;
enddef;
%% put a stone on postion p
%% B - black stone, p: 1~board_size, 1~board_size
%% W - white stone, p: 1~board_size, 1~board_size
%% C - clear stone, p: 1~board_size, 1~board_size
vardef B expr p=
log "black " & (_point_str p);
if IS_PUT:
append_put "B " & (decimal (xpart p)) & " " & (decimal (ypart p));
fi;
mem[xpart p][ypart p] := BLACK;
enddef;
vardef W expr p=
log "white " & (_point_str p);
if IS_PUT:
append_put "W " & (decimal (xpart p)) & " " & (decimal (ypart p));
fi;
mem[xpart p][ypart p] := WHITE;
enddef;
vardef C expr p=
log "clear " & (_point_str p);
if IS_PUT:
if mem[xpart p][ypart p] = BLACK:
append_put "b " & (decimal (xpart p)) & " " & (decimal (ypart p));
elseif mem[xpart p][ypart p] = WHITE:
append_put "w " & (decimal (xpart p)) & " " & (decimal (ypart p));
fi;
fi;
mem[xpart p][ypart p] := EMPTY;
enddef;
%% draw current stones on board
vardef draw_stones=
for i=1 upto board_size:
for j=1 upto board_size:
if mem[i][j] = BLACK:
draw_stone.b(i-1,j-1);
elseif mem[i][j] = WHITE:
draw_stone.w(i-1,j-1);
elseif mem[i][j] = EMPTY:
else
show "ERROR board memory with value " & (decimal mem[i][j]) & "!!";
fi;
endfor;
endfor;
enddef;
%% check life_or_death for all stones
%% if stone s is dead, clear s from mem
vardef life_or_death=
save m,count,ld;
numeric m[][];
for i=1 upto board_size:
for j=1 upto board_size:
m[i][j] = -1; %% -1, not checked; 0, pushed; 1 ..., checked
endfor;
endfor;
count = 1;
boolean ld[];
stack.h;
%% grouping and check life_or_death
for i=1 upto board_size:
for j=1 upto board_size:
if (m[i][j] = -1) and not ((MEM(i,j)) = EMPTY):
push.h(i,j);
m[i][j] := 0;
ld[count] := false;
forever:
exitif empty.h;
save test,p;
pair test[],p;
p := pop.h;
m[xpart p][ypart p] := count;
test[1] := _up p;
test[2] := _down p;
test[3] := _left p;
test[4] := _right p;
for k=1 upto 4:
if ((MEM test[k]) = (MEM(i,j))) and
(m[xpart test[k]][ypart test[k]] = -1):
push.h(test[k]);
m[xpart test[k]][ypart test[k]] := 0;
fi;
if (MEM test[k]) = EMPTY:
ld[count] := true;
fi;
endfor;
endfor;
count := count+1;
clear.s;
fi;
endfor;
endfor;
%% clear dead stones
for i=1 upto board_size:
for j=1 upto board_size:
if m[i][j] > 0:
if ld[m[i][j]] = false:
C(i,j);
fi;
fi;
endfor;
endfor;
enddef;
%% check if added stone at p captures other stones
vardef _capture expr p=
save test;
pair test[];
test[1] := _up p;
test[2] := _down p;
test[3] := _left p;
test[4] := _right p;
for i=1 upto 4:
if (MEM test[i]) = -(MEM p):
_check_death_of(test[i]);
fi;
endfor;
enddef;
vardef _check_death_of expr pp=
stack.h;
numeric m[][];
for i=1 upto board_size:
for j=1 upto board_size:
m[i][j] = -1; %% un-pushed
endfor;
endfor;
push.h pp;
m[xpart pp][ypart pp] := 0;
save ld; boolean ld;
ld = false;
forever:
exitif empty.h;
save test,p;
pair test[],p;
p := pop.h;
%m[xpart p][ypart p] := 1;
test[1] := _up p;
test[2] := _down p;
test[3] := _left p;
test[4] := _right p;
for k=1 upto 4:
if ((MEM test[k]) = (MEM p)) and
(m[xpart test[k]][ypart test[k]] = -1):
push.h(test[k]);
m[xpart test[k]][ypart test[k]] := 0;
fi;
if (MEM test[k]) = EMPTY:
ld := true;
fi;
endfor;
endfor;
if ld = false:
for i=1 upto board_size:
for j=1 upto board_size:
if m[i][j] = 0:
C(i,j);
fi;
endfor;
endfor;
fi;
enddef;
%% check if added stone at p is dead
vardef _suicide expr p=
_check_death_of p;
enddef;
%% putting stone history
boolean IS_PUT;
IS_PUT = false;
string put_history[];
numeric cur_put_his;
cur_put_his = 1;
string put_his;
%% begin a put action
vardef beginput=
IS_PUT := true;
put_his := "";
enddef;
%% append stoning in a put action
vardef append_put text t=
if (length put_his) = 0:
put_his := t;
else:
put_his := put_his & " " & t;
fi;
enddef;
%% end a put action
vardef endput=
IS_PUT := false;
put_history[cur_put_his] := put_his;
log "append history: " & put_his;
cur_put_his := cur_put_his + 1;
enddef;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%% high level functions (encourged for use) %%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% set_board_size
% set_board_color
% init_board
% put_b / put_w
% display_board
%% set board size between 1 and 19
%% default value is 19
vardef set_board_size expr p=
if (p > 0) and (p < 20):
board_size := p;
fi;
enddef;
%% set board color with rgb triple (r,g,b)
vardef set_board_color text t=
board_color := t;
enddef;
%% init the board with no stones
vardef init_board=
save db; boolean db;
db = _DEBUG;
_DEBUG := false;
for i=1 upto board_size:
for j=1 upto board_size:
C(i,j);
endfor;
endfor;
_DEBUG := db;
enddef;
%% generate a random distributed board with stones
vardef random_board expr clear_ratio=
save tmp;
for i=1 upto board_size:
for j=1 upto board_size:
tmp := normaldeviate;
if tmp > 0.5 clear_ratio:
put_black(i,j);
elseif tmp < -0.5 clear_ratio:
put_white(i,j);
fi;
endfor;
endfor;
enddef;
%% generate a random location ranged from (1,1)--(board_size,board_size)
vardef random_loc=
save x,y;
x = (uniformdeviate board_size);
y = (uniformdeviate board_size);
x := floor (abs (x - 0.0001));
y := floor (abs (y - 0.0001));
(x+1,y+1)
enddef;
%% display the Go board together with label, stones
vardef display_board=
draw_board;
draw_label;
draw_stones;
enddef;
%% put a black stone at postion pp, if possible
%% check life and death after putting the stone
%% re-put the stone to make sure it survive
vardef put_black expr pp=
save p;
pair p;
if pair pp:
p := pp;
else:
p := (random_loc);
fi;
%show "put black at " & (_point_str p);
if (legal_loc p):
beginput;
B p;
_capture p;
_suicide p;
endput;
fi;
enddef;
vardef put_b(text t)=
save tt,h,v;
string tt;
numeric h,v;
tt = str t;
h = ASCII(substring (0,1) of tt) - ASCII("A") + 1;
v = board_size - scantokens(substring (1, length tt) of tt) + 1;
% show h, v;
put_black(h,v);
enddef;
%% put a white stone at postion pp, if possible
%% check life and death after putting the stone
%% re-put the stone to make sure it survive
vardef put_white expr pp=
save p;
pair p;
if pair pp:
p := pp;
else:
p := (random_loc);
fi;
%show "put white at " & (_point_str p);
if (legal_loc p):
beginput;
W p;
_capture p;
_suicide p;
endput;
fi;
enddef;
vardef put_w(text t)=
save tt,h,v;
string tt;
numeric h,v;
tt = str t;
h = ASCII(substring (0,1) of tt) - ASCII("A") + 1;
v = board_size - scantokens(substring (1, length tt) of tt) + 1;
% show h, v;
put_white(h,v);
enddef;
%% remove stone from position pp, if possible
vardef remove_stone expr pp=
if (xpart pp > 0) and (xpart pp < board_size+1)
and (ypart pp > 0) and (ypart pp < board_size+1):
C pp;
fi;
enddef;
%% determine whether putting stone at p is leagal
%% mem[p] is empty, and p is not out of bound
vardef legal_loc expr p=
save tmp;
tmp = 1;
save x,y;
x = xpart p;
y = ypart p;
if ((xpart p) < 1) or ((xpart p) > board_size)
or ((ypart p) < 1) or ((ypart p) > board_size):
show "ILLEGAL OPERATION, cell out of bound";
(tmp = 2)
elseif not ((MEM p) = EMPTY):
show "ILLEGAL OPERATION, cell occupied";
(tmp = 2)
else:
% save prev; string prev;
% prev = put_history[cur_put_his-1];
% if:
% show "ILLEGAL OPERATION, re-put comflict";
% (tmp = 2)
% else:
(tmp = 1)
% fi
fi
enddef;
%% go script file, plain format, i.e., color x-coord y-coord
string GO_FILE;
GO_FILE := "";
FIG_COUNT = 1;
%% generate boards based on go script
vardef generate_boards_from_file=
if (length GO_FILE) < 1:
else:
save line,x,y,t;
string line,t;
init_board;
display_board_fig; % empty board
forever:
line := readfrom GO_FILE;
exitif (length line) < 3;
t := loptok line;
x := scantokens(loptok line);
y := scantokens(loptok line);
%show "read position " & t & "=(" & (decimal x) & "," & (decimal y) & ")";
if (t = "b") or (t = "B"):
put_black(x,y);
elseif (t = "w") or (t = "W"):
put_white(x,y);
fi;
display_board_fig;
endfor;
fi;
enddef;
%% display board in new fig
vardef display_board_fig=
beginfig(FIG_COUNT);
display_board;
FIG_COUNT := FIG_COUNT + 1;
endfig;
enddef;
%GO_FILE := "test.go";
%generate_boards_from_file;
%% if possible to retract the last put action
vardef can_restore=
(cur_put_his > 1)
enddef;
%% extract put action from string
vardef _extract_put suffix s=
save t,x,y;
string t,x,y;
if (length s) < 1:
""
else:
t = loptok s;
x = loptok s;
y = loptok s;
t & "(" & x & "," & y & ")"
fi
enddef;
%% reverse put action, C->B|W, B|C, W|C
vardef _reverse suffix s=
save t;
string t;
t = substring (0,1) of s;
if (t = "B") or (t = "W"):
t := "C";
else:
t := char(ASCII("A") + ASCII(t) - ASCII("a"));
fi;
t & (substring (1,length s) of s)
enddef;
%% retract the last put action
vardef restore=
save prev,act;
string prev,act;
prev = put_history[cur_put_his-1];
cur_put_his := cur_put_his - 1;
forever:
act := _extract_put prev;
exitif (length act) = 0;
log "restore: " & act;
scantokens(_reverse act);
endfor;
enddef;
%% putting stones, format: {B|W}{A-Z}{decimal}
vardef stone text tt=
if (length tt) < 3:
show "ERROR: stone string illegal";
else:
save t,ys,xs;
string t,ys,xs;
t = loptok tt; %substring (0,1) of tt;
xs = loptok tt; %substring (1,2) of tt;
ys := loptok tt; %substring (2,length tt) of tt;
save x,y;
x = ASCII(xs) - ASCII("A") + 1;
y = board_size - scantokens(ys) + 1;
log "stone " & t & " at " & (decimal x) & "," & (decimal y);
if (t = "B") or (t = "b"):
put_black(x,y);
elseif (t = "W") or (t = "w"):
put_white(x,y);
fi;
fi;
enddef;
%% retract the last stoning action if possible
vardef retract=
if can_restore:
restore;
else:
show "restore can not be performed";
fi;
enddef;
%% scripting on file
vardef script text file=
save sf;
string sf; sf = file;
if (length sf) < 1:
show "ERROR: script file name illegal";
else:
save line,x,y,t;
string line,t;
%set_board_size scantokens(readfrom sf);
init_board;
%display_board_fig; % empty board
forever:
line := readfrom sf;
exitif (length line) < 3;
stone line;
display_board_fig;
endfor;
fi;
enddef;
_DEBUG := false;
%script "script.go";
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