1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
|
% This is
% pkqueen.mf
%
% Copyright (C) 1989-92 by Elmar Bartel.
%
% This program is free software; you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation; either version 1, or (at your option)
% any later version.
%
% This program is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
% GNU General Public License for more details.
%
% You should have received a copy of the GNU General Public License
% along with this program; if not, write to the Free Software
% Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
%
%we have to define six essential characters:
% WoW NoW BoW WoB NoB BoB
%Pawn 0 6 12 18 24 30
%Knight 1 7 13 19 25 31
%Bishop 2 8 14 20 26 32
%Rook 3 9 15 21 27 33
%Queen 4 10 16 22 28 34
%King 5 11 17 23 29 35
def Kegel(expr p,q) =
begingroup
path KPath;
numeric Width[],x[].a,y[].a,x[].b,y[].b;
numeric Base,MiddlePos,BowIns,Height,LowerHeight,TopHeight;
Width0 = Base = length(q-p);
Width1 = 1.30Base;
Width2 = 0.35Base;
Width3 = 1.30Base; % Diameter of circle
Height = 5.75Base;
MiddlePos = 0.25;
BowIns = Width3/2+-+Width2/2;
LowerHeight + TopHeight = Height - Width3 + BowIns;
LowerHeight = MiddlePos*(LowerHeight+TopHeight);
z0a = p;
z0b = z0a + (Width0,0);
forsuffixes $=1,2:
x$a + x$b = x0a + x0b; x$b - x$a = Width$;
endfor;
y1a = y1b = y0a + LowerHeight;
y2a = y2b = y1a + TopHeight;
x3a = .5(x2b+x2a);
y3a = y2a + BowIns;
%labels(0a,0b,1a,1b,2a,2b,3a);
path LeftP,RightP,KgCircle;
LeftP= z2a -- z1a -- z0a;
RightP= z0b -- z1b -- z2b;
KgCircle= halfcircle rotated 180 scaled Width3 shifted z3a;
KPath:= RightP ..
subpath ((ypart((z1b -- 1.5[z1b,z2b])
intersectiontimes KgCircle)),4) of KgCircle ..
halfcircle scaled Width3 shifted z3a ..
subpath (0,ypart((z1a -- 1.5[z1a,z2a])
intersectiontimes KgCircle)) of KgCircle ..
LeftP;
reverse (KPath rotatedaround(p, angle (q-p)))
endgroup;
enddef;
def DefineQueenPath =
%SetParam;
DefineFootBows( 0, % No Space to Bottom
.50qs, % BowOneWidth
.28qs, % FootHeight
.40, % BowTwoLoc
.13, % WidthToHeight
.90, % BowTwoLen
1.00); % BowThreeLen
path KPath,LeftPath,RightPath,QueenShape;
numeric b,s;
% b and s define the ratio of 5 peak bases and 4 spaces.
% if you want more or other spacing change the values
b = 1.1s;
5b + 4s = length(Bow3);
pair at,bt;
at= point 0 of Bow3;
bt= point b of Bow3;
KPath:= Kegel(at, bt);
for t=b+s step b+s until length(Bow3):
KPath:= KPath .. subpath(t-s,t) of Bow3;
KPath:= KPath .. Kegel(point t of Bow3,
point(t+b)of Bow3);
endfor;
LeftPath:= z1l .. z2l .. z3l;
RightPath:= z3r .. z2r .. z1r;
QueenShape:= Bow0 &
LeftPath &
KPath ..
RightPath &
cycle;
enddef;
pickup chess_pen;
def MakeWhiteQueen =
clearit;
pickup chess_pen;
draw QueenShape;
forsuffixes $=1,2,3: draw Bow$; endfor;
WhiteMan:= currentpicture;
enddef;
def MakeBlackQueen =
clearit;
pickup chess_pen;
filldraw QueenShape;
cullit;
undraw ShortenPath(Bow1,thin);
undraw ShortenPath(Bow2,thin);
undraw ShortenPath(ParallelPath(Bow3,-thin),thin);
BlackMan:= currentpicture;
enddef;
def MakeOuterShape =
clearit;
pickup frame_pen;
filldraw QueenShape;
cullit;
OuterShape:= currentpicture;
enddef;
DefineQueenPath;
MakeWhiteQueen;
MakeBlackQueen;
MakeNeutral(WhiteMan,BlackMan);
MakeOuterShape;
%-----------------------------------------------------------------------
beginchar(Queen+White+OnWhite, qs#, qs#, 0);
"White queen on white field";
currentpicture:= WhiteMan;
endchar;
beginchar(Queen+White+OnWhite+LeftTurned, qs#, qs#, 0);
"White queen on white field rotated to the left";
currentpicture:= TurnLeft(WhiteMan);
endchar;
beginchar(Queen+White+OnWhite+RightTurned, qs#, qs#, 0);
"White queen on white field rotated to the right";
currentpicture:= TurnRight(WhiteMan);
endchar;
beginchar(Queen+White+OnWhite+UpSideDown, qs#, qs#, 0);
"White queen on white field upside down";
currentpicture:= TurnUpSideDown(WhiteMan);
endchar;
beginchar(Queen+Black+OnWhite, qs#, qs#, 0);
"Black queen on white field";
currentpicture:= BlackMan;
endchar;
beginchar(Queen+Black+OnWhite+LeftTurned, qs#, qs#, 0);
"Black queen on white field rotated to the left";
currentpicture:= TurnLeft(BlackMan);
endchar;
beginchar(Queen+Black+OnWhite+RightTurned, qs#, qs#, 0);
"Black queen on white field rotated to the right";
currentpicture:= TurnRight(BlackMan);
endchar;
beginchar(Queen+Black+OnWhite+UpSideDown, qs#, qs#, 0);
"Black queen on white field upside down";
currentpicture:= TurnUpSideDown(BlackMan);
endchar;
beginchar(Queen+Neutral+OnWhite, qs#, qs#, 0);
"Neutral queen on white field";
currentpicture:= NeutralMan;
endchar;
beginchar(Queen+Neutral+OnWhite+LeftTurned, qs#, qs#, 0);
"Neutral queen on white field rotated to the left";
currentpicture:= TurnLeft(NeutralMan);
endchar;
beginchar(Queen+Neutral+OnWhite+RightTurned, qs#, qs#, 0);
"Neutral queen on white field rotated to the right";
currentpicture:= TurnRight(NeutralMan);
endchar;
beginchar(Queen+Neutral+OnWhite+UpSideDown, qs#, qs#, 0);
"Neutral queen on white field upside down";
currentpicture:= TurnUpSideDown(NeutralMan);
endchar;
beginchar(Queen+White+OnBlack, qs#, qs#, 0);
"White queen on black field";
MakeBlackField;
currentpicture:= currentpicture - OuterShape;
cullit;
currentpicture:= currentpicture + WhiteMan;
endchar;
beginchar(Queen+White+OnBlack+LeftTurned, qs#, qs#, 0);
"White queen on black field turned to the left";
MakeBlackField;
currentpicture:= currentpicture - TurnLeft(OuterShape);
cullit;
currentpicture:= currentpicture + TurnLeft(WhiteMan);
endchar;
beginchar(Queen+White+OnBlack+RightTurned, qs#, qs#, 0);
"White queen on black field turned to the right";
MakeBlackField;
currentpicture:= currentpicture - TurnRight(OuterShape);
cullit;
currentpicture:= currentpicture + TurnRight(WhiteMan);
endchar;
beginchar(Queen+White+OnBlack+UpSideDown, qs#, qs#, 0);
"White queen on black field upsidedown";
MakeBlackField;
currentpicture:= currentpicture - TurnUpSideDown(OuterShape);
cullit;
currentpicture:= currentpicture + TurnUpSideDown(WhiteMan);
endchar;
beginchar(Queen+Neutral+OnBlack, qs#, qs#, 0);
"Neutral queen on black field";
MakeBlackField;
currentpicture:= currentpicture - OuterShape;
cullit;
currentpicture:= currentpicture + NeutralMan;
endchar;
beginchar(Queen+Neutral+OnBlack+LeftTurned, qs#, qs#, 0);
"Neutral queen on black field turned to the left";
MakeBlackField;
currentpicture:= currentpicture - TurnLeft(OuterShape);
cullit;
currentpicture:= currentpicture + TurnLeft(NeutralMan);
endchar;
beginchar(Queen+Neutral+OnBlack+RightTurned, qs#, qs#, 0);
"Neutral queen on black field turned to the right";
MakeBlackField;
currentpicture:= currentpicture - TurnRight(OuterShape);
cullit;
currentpicture:= currentpicture + TurnRight(NeutralMan);
endchar;
beginchar(Queen+Neutral+OnBlack+UpSideDown, qs#, qs#, 0);
"Neutral queen on black field upsidedown";
MakeBlackField;
currentpicture:= currentpicture - TurnUpSideDown(OuterShape);
cullit;
currentpicture:= currentpicture + TurnUpSideDown(NeutralMan);
endchar;
beginchar(Queen+Black+OnBlack, qs#, qs#, 0);
"Black queen on black field";
MakeBlackField;
currentpicture:= currentpicture - OuterShape;
cullit;
currentpicture:= currentpicture + BlackMan;
endchar;
beginchar(Queen+Black+OnBlack+LeftTurned, qs#, qs#, 0);
"Black queen on black field turned to the left";
MakeBlackField;
currentpicture:= currentpicture - TurnLeft(OuterShape);
cullit;
currentpicture:= currentpicture + TurnLeft(BlackMan);
endchar;
beginchar(Queen+Black+OnBlack+RightTurned, qs#, qs#, 0);
"Black queen on black field turned to the right";
MakeBlackField;
currentpicture:= currentpicture - TurnRight(OuterShape);
cullit;
currentpicture:= currentpicture + TurnRight(BlackMan);
endchar;
beginchar(Queen+Black+OnBlack+UpSideDown, qs#, qs#, 0);
"Black queen on black field upsidedown";
MakeBlackField;
currentpicture:= currentpicture - TurnUpSideDown(OuterShape);
cullit;
currentpicture:= currentpicture + TurnUpSideDown(BlackMan);
endchar;
|
