summaryrefslogtreecommitdiff
path: root/macros/latex/contrib/pictex2/pictex2.sty
blob: 69df58319b9269292bd1d6ff6390484e9463ba3d (plain)
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
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% pictex2.sty -- extension to PiCTeX
%
% William Park <opengeometry@yahoo.ca>
% Dec 1997, Aug 1998, May 1999
%
%
% Introduction:
% -------------
% 
% PiCTeX's \putrule requires you to calculate the absolute coordinates,
% and connects between only 2 points at a time.  I found this very
% inconvenient to calculate the coordinates repeatedly for something
% like
%     \putrule from x0 y0 to x1 y1
%     \putrule from x1 y1 to x2 y2
%     ...
%     \putrule from .. .. to xn yn
% but I didn't want to use
%     \setlinear
%     \plot x0 y0 x1 y1 x2 y2 ... xn yn /
% because it consumes too much memory, using dots where rules can be
% used.  Also, I wanted to draw boxes, circles, and other LaTeX and
% PiCTeX figures at the current position whose coordinate can be pain to
% calculate manually.  
% 
% This file defines 2 user commands:
%     \putanyline, \setanyline
% Everything else is internal macros.
% 
% 
% Extension 1:  \putanyline
% -------------------------
% 
% Therefore, I wrote \putanyline which connects points using \putrule
% (rules) or \plot (dots) depending whether the line segment is
% horizontal, vertical, or sloped.  It automatically calculates the
% current position, so that you can use relative coordinate when
% specifying the next point to go to.  Furthermore, you can insert
% boxes, circles, and vectors at the current position.  In effect,
% \putanyline allows you to draw without "lifting pen from paper".  
% 
% Its usage is
%     \putanyline from x y <command> <arguments> <command> <arguments> ... /
% where command/arguments are any permutation of 
%     from x y	-- starting point
%     to x y	-- draw line to (x,y), using \plot if necessary
%     slope dx dy	-- draw line to (dx,dy), using \plot if necessary
%     jump dx dy	-- jump by <dx,dy> without drawing
%     right s	-- draw horizontal rule to right by s unit
%     left s	-- draw horizontal rule to left by s unit
%     up s	-- draw vertical rule up by s unit
%     down s	-- draw vertical rule down by s unit
%     x a	-- draw horizontal rule to x=a
%     y b	-- draw vertical rule to y=b
%     RIGHT s	-- draw horizontal LaTeX vector to right by s unit
%     LEFT s	-- draw horizontal LaTeX vector to left by s unit
%     UP s	-- draw vertical LaTeX vector up by s unit
%     DOWN s	-- draw vertical LaTeX vector down by s unit
%     X a	-- draw horizontal LaTeX vector to x=a
%     Y b	-- draw vertical LaTeX vector to y=b
%     box width height	-- put corner of box at current point
%     circle dia	-- put center of circle at current point
%     arc dx dy deg	-- draw arc from (dx,dy) about current point
%     BOX (x,y) [Blrbt]	-- put LaTeX \framebox(x,y){} with [] orientation
%     CIRCLE dia	-- put LaTeX \circle{d} at current point
%     VECTOR (x,y) s	-- put LaTeX \vector(x,y){s} at current point
%     SLOPE (x,y) s	-- put LaTeX \line(x,y){s} at current point
% 
% For example, the repeated \putrule above can be replaced by
%     \putanyline from x0 y0  to x1 y1  to x2 y2 ... to xn yn /
% But, if it will be using horizontal or vertical rules anyway, it is
% more convenient to use relative coordinate and write 
%     \putanyline from x0 y0  right a  up b  left c  down d ... /
% where each direction implies starting from current position which is
% calculated and updated automatically.  However, the following commands
%     box, circle, arc, BOX, CIRCLE 
% do not update the current position, since there is no clear "end"
% point to go to.
% 
% When using LaTeX objects, PiCTeX's horizontal and vertical scales
% should be same as LaTeX's \unitlength.  I usually do something like
%     \usepackage{pictex2}
%     ...
%     $$\beginpicture \unitlength=1cm
%     \setcoordinatesystem units <\unitlength,\unitlength>
%     ...
%     \endpicture$$
% 
% 
% Extension 2:  \setanyline
% -------------------------
% 
% I also wrote \setanyline mode for \plot to use rules if a line segment
% is horizontal or vertical.  Its usage is similar to \setlinear,
%     \setanyline
%     \plot x0 y0 x1 y1 x2 y2 ... xn yn /
% With this command, the points must be specified using absolute
% coordinate as usual; you cannot use relative coordinates.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{pictex2}	% this package
\RequirePackage{pictex}		% standard part of teTeX

\catcode`!=11
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \putanyline from x y  to x y  slope dx dy  jump dx dy
%     right s  left s  up s  down s  x a  y a
%     RIGHT s  LEFT s  UP s  DOWN s  X a  Y b
%     box w h  circle d  arc dx dy deg
%     BOX (x,y) [Blrtb]  CIRCLE d  VECTOR (x,y) s  SLOPE (x,y) s
% /
%
\def\putanyline{\!putanyline}%	changed from \multiput
\def\!putanyline{\futurelet\!nextchar\!!putanyline}
\def\!!putanyline{%
        \if f\!nextchar \def\!!!putanyline{\!putanylinefrom}%
  \else \if t\!nextchar \def\!!!putanyline{\!putanylineto}%
  \else \if s\!nextchar \def\!!!putanyline{\!putanylineslope}%
  \else \if j\!nextchar \def\!!!putanyline{\!putanylinejump}%
%
  \else \if r\!nextchar \def\!!!putanyline{\!putanylineright}%
  \else \if l\!nextchar \def\!!!putanyline{\!putanylineleft}%
  \else \if u\!nextchar \def\!!!putanyline{\!putanylineup}%
  \else \if d\!nextchar \def\!!!putanyline{\!putanylinedown}%
  \else \if x\!nextchar	\def\!!!putanyline{\!putanylinex}%
  \else \if y\!nextchar \def\!!!putanyline{\!putanyliney}%
%
  \else \if R\!nextchar \def\!!!putanyline{\!putanylineRIGHT}%
  \else \if L\!nextchar \def\!!!putanyline{\!putanylineLEFT}%
  \else \if U\!nextchar \def\!!!putanyline{\!putanylineUP}%
  \else \if D\!nextchar \def\!!!putanyline{\!putanylineDOWN}%
  \else \if X\!nextchar	\def\!!!putanyline{\!putanylineX}%
  \else \if Y\!nextchar \def\!!!putanyline{\!putanylineY}%
%
  \else \if b\!nextchar \def\!!!putanyline{\!putanylinebox}%
  \else \if c\!nextchar \def\!!!putanyline{\!putanylinecircle}%
  \else \if a\!nextchar \def\!!!putanyline{\!putanylinearc}%
%
  \else \if B\!nextchar \def\!!!putanyline{\!putanylineBOX}%
  \else \if C\!nextchar \def\!!!putanyline{\!putanylineCIRCLE}%
  \else \if V\!nextchar \def\!!!putanyline{\!putanylineVECTOR}%
  \else \if S\!nextchar \def\!!!putanyline{\!putanylineSLOPE}%
%
  \fi \fi \fi \fi
  \fi \fi \fi \fi \fi \fi
  \fi \fi \fi \fi \fi \fi
  \fi \fi \fi
  \fi \fi \fi \fi
  \!!!putanyline}

% from x y	-- starting point
% to x y	-- draw line to (x,y), using \plot if necessary
% slope dx dy	-- draw line to (dx,dy), using \plot if necessary
% jump dx dy	-- jump by <dx,dy> without drawing
%
\def\!putanylinefrom from #1 #2 {%
  \!xS=\!M{#1}\!xunit
  \!yS=\!M{#2}\!yunit
  \!ifnextchar/{\!finish}{\!putanyline}}
\def\!putanylineto to #1 #2 {%
  \!xE=\!M{#1}\!xunit
  \!yE=\!M{#2}\!yunit
  \!drawputanyline}
\def\!putanylineslope slope #1 #2 {%
  \!xE=\!xS  \!xdiff=\!M{#1}\!xunit  \advance\!xE by \!xdiff
  \!yE=\!yS  \!ydiff=\!M{#2}\!yunit  \advance\!yE by \!ydiff  
  \!drawputanyline}
\def\!putanylinejump jump #1 #2 {%
  \!xdiff=\!M{#1}\!xunit  \advance\!xS by \!xdiff
  \!ydiff=\!M{#2}\!yunit  \advance\!yS by \!ydiff  
  \!ifnextchar/{\!finish}{\!putanyline}}

\def\!drawputanyline{%
  \!xM=\!xE
  \!yM=\!yE
  \!xdiff=\!xE	\advance\!xdiff by -\!xS
  \!ydiff=\!yE	\advance\!ydiff by -\!yS
  \ifdim \!xdiff=\!zpt% 	vertical rule
    \ifdim \!ydiff<\!zpt% 	adjusted for line thickness
      \!ydiff=-0.5\linethickness
    \else
      \!ydiff=0.5\linethickness
    \fi
    \advance\!yE by \!ydiff
    \advance\!yS by -\!ydiff
    \setdimensionmode
    \putrule from {\!xS} {\!yS} to {\!xE} {\!yE}
    \setcoordinatemode
  \else \ifdim \!ydiff=\!zpt% 	horizontal rule
    \ifdim \!xdiff<\!zpt% 	adjusted for line thickness
      \!xdiff=-0.5\linethickness
    \else
      \!xdiff=0.5\linethickness
    \fi
    \advance\!xE by \!xdiff
    \advance\!xS by -\!xdiff
    \setdimensionmode
    \putrule from {\!xS} {\!yS} to {\!xE} {\!yE}
    \setcoordinatemode
  \else%	line using \plot
    {\setdimensionmode
     \setlinear
     \plot {\!xS} {\!yS} {\!xE} {\!yE} /
     \setcoordinatemode}%
  \fi \fi
  \!xS=\!xM
  \!yS=\!yM
  \!ifnextchar/{\!finish}{\!putanyline}}

% right s	-- draw horizontal rule to right by s unit
% left s	-- draw horizontal rule to left by s unit
% up s		-- draw vertical rule up by s unit
% down s	-- draw vertical rule down by s unit
% x a		-- draw horizontal rule to x=a
% y b		-- draw vertical rule to y=b
%
\def\!putanylineright right #1 {%
  \!xE=\!xS  \!xdiff=\!M{#1}\!xunit  \advance\!xE by \!xdiff
  \!yE=\!yS
  \!drawputanyline} 
\def\!putanylineleft left #1 {%
  \!xE=\!xS  \!xdiff=\!M{#1}\!xunit  \advance\!xE by -\!xdiff
  \!yE=\!yS
  \!drawputanyline}
\def\!putanylineup up #1 {%
  \!xE=\!xS
  \!yE=\!yS  \!ydiff=\!M{#1}\!yunit  \advance\!yE by \!ydiff
  \!drawputanyline}
\def\!putanylinedown down #1 {%
  \!xE=\!xS
  \!yE=\!yS  \!ydiff=\!M{#1}\!yunit  \advance\!yE by -\!ydiff
  \!drawputanyline}
\def\!putanylinex x #1 {%
  \!xE=\!M{#1}\!xunit
  \!yE=\!yS
  \!drawputanyline} 
\def\!putanyliney y #1 {%
  \!xE=\!xS
  \!yE=\!M{#1}\!yunit
  \!drawputanyline}

% RIGHT s	-- draw horizontal LaTeX vector to right by s unit
% LEFT s	-- draw horizontal LaTeX vector to left by s unit
% UP s		-- draw vertical LaTeX vector up by s unit
% DOWN s	-- draw vertical LaTeX vector down by s unit
% X a		-- draw horizontal LaTeX vector to x=a
% Y b		-- draw vertical LaTeX vector to y=b
%
\def\!putanylineRIGHT RIGHT #1 {%
  \setdimensionmode
  \put {\vector(1,0){#1}} [Bl] at {\!xS} {\!yS}
  \setcoordinatemode
  \!xdiff=\!M{#1}\!xunit  \advance\!xS by \!xdiff
  \!ifnextchar/{\!finish}{\!putanyline}}
\def\!putanylineLEFT LEFT #1 {%
  \setdimensionmode
  \put {\vector(-1,0){#1}} [Bl] at {\!xS} {\!yS}
  \setcoordinatemode
  \!xdiff=\!M{#1}\!xunit  \advance\!xS by -\!xdiff
  \!ifnextchar/{\!finish}{\!putanyline}}
\def\!putanylineUP UP #1 {%
  \setdimensionmode
  \put {\vector(0,1){#1}} [Bl] at {\!xS} {\!yS}
  \setcoordinatemode
  \!ydiff=\!M{#1}\!yunit  \advance\!yS by \!ydiff
  \!ifnextchar/{\!finish}{\!putanyline}}
\def\!putanylineDOWN DOWN #1 {%
  \setdimensionmode
  \put {\vector(0,-1){#1}} [Bl] at {\!xS} {\!yS}
  \setcoordinatemode
  \!ydiff=\!M{#1}\!yunit  \advance\!yS by -\!ydiff
  \!ifnextchar/{\!finish}{\!putanyline}}
\def\!putanylineX X #1 {%
  \!xdiff=\!M{#1}\!xunit
  \advance\!xdiff by -\!xS
  \Divide <\!xdiff> by <\unitlength> forming <\!xE>
  \placevalueinpts of <\!xE> in {\!putanylinescale}
  \setdimensionmode
  \ifdim \!xdiff<\!zpt
    \put {\vector(-1,0){-\!putanylinescale}} [Bl] at {\!xS} {\!yS}
  \else
    \put {\vector(1,0){\!putanylinescale}} [Bl] at {\!xS} {\!yS}
  \fi
  \setcoordinatemode
  \advance\!xS by \!xdiff
  \!ifnextchar/{\!finish}{\!putanyline}}
\def\!putanylineY Y #1 {%
  \!ydiff=\!M{#1}\!yunit
  \advance\!ydiff by -\!yS
  \Divide <\!ydiff> by <\unitlength> forming <\!yE>
  \placevalueinpts of <\!yE> in {\!putanylinescale}
  \setdimensionmode
  \ifdim \!ydiff<\!zpt
    \put {\vector(0,-1){-\!putanylinescale}} [Bl] at {\!xS} {\!yS}
  \else
    \put {\vector(0,1){\!putanylinescale}} [Bl] at {\!xS} {\!yS}
  \fi
  \setcoordinatemode
  \advance\!yS by \!ydiff
  \!ifnextchar/{\!finish}{\!putanyline}}

% box width height	-- put corner of box at current point
% circle dia		-- put center of circle at current point
% arc dx dy deg		-- draw arc from <dx,dy> about current point
%
\def\!putanylinebox box #1 #2 {%
  \!xE=\!xS  \!xdiff=\!M{#1}\!xunit  \advance\!xE by \!xdiff
  \!yE=\!yS  \!ydiff=\!M{#2}\!yunit  \advance\!yE by \!ydiff  
  \setdimensionmode
  \putrectangle corners at {\!xS} {\!yS} and {\!xE} {\!yE}
  \setcoordinatemode
  \!ifnextchar/{\!finish}{\!putanyline}}
\def\!putanylinecircle circle #1 {%
  \!xE=\!xS  \!xdiff=\!M{#1}\!xunit  \advance\!xE by 0.5\!xdiff
  \!yE=\!yS
  {\setdimensionmode
   \circulararc 360 degrees from {\!xE} {\!yE} center at {\!xS} {\!yS}
   \setcoordinatemode}%
  \!ifnextchar/{\!finish}{\!putanyline}}
\def\!putanylinearc arc #1 #2 #3 {%
  \!xE=\!xS  \!xdiff=\!M{#1}\!xunit  \advance\!xE by \!xdiff
  \!yE=\!yS  \!ydiff=\!M{#2}\!yunit  \advance\!yE by \!ydiff
  {\setdimensionmode
   \circulararc {#3} degrees from {\!xE} {\!yE} center at {\!xS} {\!yS}
   \setcoordinatemode}%
  \!ifnextchar/{\!finish}{\!putanyline}}

% BOX (x,y) [Blrbt]	-- put LaTeX \framebox(x,y){} with [] orientation
% CIRCLE dia		-- put LaTeX \circle{d} at current point
% VECTOR (x,y) s	-- put LaTeX \vector(x,y){s} at current point
% SLOPE (x,y) s		-- put LaTeX \line(x,y){s} at current point
%
\def\!putanylineBOX BOX (#1,#2) [#3] {%
    \setdimensionmode
    \put {\begin{picture}(#1,#2)
	  \put(0,0){\framebox(#1,#2){}}
	  \end{picture}} [#3] at {\!xS} {\!yS}
    \setcoordinatemode
    \!ifnextchar/{\!finish}{\!plotrule}}
\def\!putanylineCIRCLE CIRCLE #1 {%
  \setdimensionmode
  \put {\circle{#1}} [Bl] at {\!xS} {\!yS}
  \setcoordinatemode
  \!ifnextchar/{\!finish}{\!putanyline}}
\def\!putanylineVECTOR VECTOR (#1,#2) #3 {%
  \setdimensionmode
  \put {\vector(#1,#2){#3}} [Bl] at {\!xS} {\!yS}
  \setcoordinatemode
  \!xE=#1\unitlength
  \!yE=#2\unitlength
  \ifdim \!xE=\!zpt%	vertical
    \!xdiff=\!zpt
    \!ydiff=#3\unitlength
    \ifdim \!yE<\!zpt
      \!ydiff=-\!ydiff
    \fi
  \else
    \!xdiff=#3\unitlength
    \ifdim \!xE<\!zpt 
      \!xdiff=-\!xdiff
    \fi
    \Divide <\!yE> by <\!xE> forming <\!ydiff>
    \placevalueinpts of <\!ydiff> in {\!putanylinescale}
    \!ydiff=\!putanylinescale\!xdiff
  \fi
  \advance\!xS by \!xdiff
  \advance\!yS by \!ydiff
  \!ifnextchar/{\!finish}{\!putanyline}}
\def\!putanylineSLOPE SLOPE (#1,#2) #3 {%
  \setdimensionmode
  \put {\line(#1,#2){#3}} [Bl] at {\!xS} {\!yS}
  \setcoordinatemode
  \!xE=#1\unitlength
  \!yE=#2\unitlength
  \ifdim \!xE=\!zpt%	vertical
    \!xdiff=\!zpt
    \!ydiff=#3\unitlength
    \ifdim \!yE<\!zpt
      \!ydiff=-\!ydiff
    \fi
  \else
    \!xdiff=#3\unitlength
    \ifdim \!xE<\!zpt 
      \!xdiff=-\!xdiff
    \fi
    \Divide <\!yE> by <\!xE> forming <\!ydiff>
    \placevalueinpts of <\!ydiff> in {\!putanylinescale}
    \!ydiff=\!putanylinescale\!xdiff
  \fi
  \advance\!xS by \!xdiff
  \advance\!yS by \!ydiff
  \!ifnextchar/{\!finish}{\!putanyline}}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \setanyline
% \plot x0 y0 x1 y1 x2 y2 ... /
%
\def\setanyline{%	changed from \setlinear
  \let\!drawcurve=\!lcurverule
  \let\!!Shade=\!!lShade
  \let\!!!Shade=\!!!lShade}
  
\def\!lcurverule #1 #2 {%	changed from \!lcurve
  \!start (#1,#2)
  \!Ljoinrule}

\def\!Ljoinrule #1 #2 {%	changed from \!Ljoin
  \!ljoinrule (#1,#2)
  \!ifnextchar/{\!finish}{\!Ljoinrule}}

\def\!ljoinrule (#1,#2){%	changed from \!ljoin
  \advance\!intervalno by 1
  \!xE=\!M{#1}\!xunit
  \!yE=\!M{#2}\!yunit
  \!rotateaboutpivot\!xE\!yE
  \!xdiff=\!xE	\advance \!xdiff by -\!xS
  \!ydiff=\!yE	\advance \!ydiff by -\!yS
  \!Pythag\!xdiff\!ydiff\!arclength%    **  arclength = sqrt(xdiff**2+ydiff**2) 
  \global\advance \totalarclength by \!arclength%
  \ifdim \!xdiff=\!zpt% 	vertical rule
    \!xM=\!xE
    \!yM=\!yE
    \ifdim \!ydiff<\!zpt% 	adjusted for line thickness
      \!ydiff=-0.5\linethickness
    \else
      \!ydiff=0.5\linethickness
    \fi
    \advance\!yE by \!ydiff
    \advance\!yS by -\!ydiff
    \setdimensionmode
    \putrule from {\!xS} {\!yS} to {\!xE} {\!yE}
    \setcoordinatemode
    \!xS=\!xM
    \!yS=\!yM
  \else \ifdim \!ydiff=\!zpt% 	horizontal rule
    \!xM=\!xE
    \!yM=\!yE
    \ifdim \!xdiff<\!zpt% 	adjusted for line thickness
      \!xdiff=-0.5\linethickness
    \else
      \!xdiff=0.5\linethickness
    \fi
    \advance\!xE by \!xdiff
    \advance\!xS by -\!xdiff
    \setdimensionmode
    \putrule from {\!xS} {\!yS} to {\!xE} {\!yE}
    \setcoordinatemode
    \!xS=\!xM
    \!yS=\!yM
  \else 
    \!drawlinearsegment% set by dashpat to \!linearsolid or \!lineardashed
    \!xS=\!xE
    \!yS=\!yE
  \fi \fi
  \ignorespaces}

\catcode`!=12

% End of pictex2.sty