summaryrefslogtreecommitdiff
path: root/Master/texmf/asymptote/flowchart.asy
blob: 3db6617375524e37defb0a0f7e042559d51d86cf (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
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
// Flowchart routines written by Jacques Pienaar, Steve Melenchuk, John Bowman.

private import math;

struct flowdir {}

restricted flowdir Horizontal;
restricted flowdir Vertical;

real minblockwidth=0;
real minblockheight=0;
real mincirclediameter=0;
real defaultexcursion=0.1;

struct block {
  // The absolute center of the block in user coordinates.
  pair center;

  // The size of the block
  pair size;

  // The relative center of the block.
  pair f_center;

  // These eight variables return the appropriate location on the block
  // in relative coordinates, where the lower left corner of the block is (0,0).
  pair f_top;
  pair f_left;
  pair f_right;
  pair f_bottom;
  pair f_topleft;
  pair f_topright;
  pair f_bottomleft;
  pair f_bottomright;

  void operator init(pair z) {
    center=z;
  }

  void operator init(real x, real y) {
    center=(x,y);
  }

  pair shift(transform t=identity()) {
    return t*center-f_center;
  }

  // Returns the relative position along the boundary of the block.
  pair f_position(real x);

  // Returns the absolute position along the boundary of the block.
  pair position(real x, transform t=identity()) {
    return shift(t)+f_position(x);
  }

  // These eight functions return the appropriate location on the block
  // in absolute coordinates.
  pair top(transform t=identity()) {
    return shift(t)+f_top;
  } 
  pair bottom(transform t=identity()) {
    return shift(t)+f_bottom;
  } 
  pair left(transform t=identity()) {
    return shift(t)+f_left;
  } 
  pair right(transform t=identity()) {
    return shift(t)+f_right;
  } 
  pair topleft(transform t=identity()) {
    return shift(t)+f_topleft;
  } 
  pair topright(transform t=identity()) {
    return shift(t)+f_topright;
  } 
  pair bottomleft(transform t=identity()) {
    return shift(t)+f_bottomleft;
  } 
  pair bottomright(transform t=identity()) {
    return shift(t)+f_bottomright;
  } 
  
  // Return a frame representing the block.
  frame draw(pen p=currentpen);

  // Store optional label on outgoing edge.
  Label label;

  // Store rectilinear path directions.
  pair[] dirs;

  // Store optional arrow.
  arrowbar arrow=None;
};

// Construct a rectangular block with header and body objects.
block rectangle(object header, object body, pair center=(0,0),
                pen headerpen=mediumgray, pen bodypen=invisible,
                pen drawpen=currentpen,
                real dx=3, real minheaderwidth=minblockwidth,
                real minheaderheight=minblockwidth,
                real minbodywidth=minblockheight,
                real minbodyheight=minblockheight)
{
  frame fbody=body.f;
  frame fheader=header.f;
  pair mheader=min(fheader);
  pair Mheader=max(fheader);
  pair mbody=min(fbody);
  pair Mbody=max(fbody);
  pair bound0=Mheader-mheader;
  pair bound1=Mbody-mbody;
  real width=max(bound0.x,bound1.x);
  pair z0=maxbound((width+2dx,bound0.y+2dx),(minbodywidth,minbodyheight));
  pair z1=maxbound((width+2dx,bound1.y+2dx),(minheaderwidth,minheaderheight));
  path shape=(0,0)--(0,z1.y)--(0,z0.y+z1.y)--(z0.x,z0.y+z1.y)--z1--(z0.x,0)--
    cycle;

  block block;
  block.draw=new frame(pen p) {
    frame block;
    filldraw(block,shift(0,z1.y)*box((0,0),z0),headerpen,drawpen);
    add(block,shift(-0.5*(Mheader+mheader))*fheader,(0,z1.y)+0.5z0);
    filldraw(block,box((0,0),z1),bodypen,drawpen);
    add(block,shift(-0.5*(Mbody+mbody))*fbody,0.5z1);
    return block;
  };
  block.f_position=new pair(real x) {
    return point(shape,x);
  };
  block.f_center=interp(point(shape,0),point(shape,3),0.5);
  block.f_bottomleft=point(shape,0); 
  block.f_bottom=point(shape,5.5); 
  block.f_bottomright=point(shape,5); 
  block.f_right=point(shape,4.5); 
  block.f_topright=point(shape,3); 
  block.f_top=point(shape,2.5); 
  block.f_topleft=point(shape,2); 
  block.f_left=point(shape,0.5); 
  block.center=center;
  block.size=point(shape,3);
  return block;
}

// As above, but without the header.
block rectangle(object body, pair center=(0,0),
                pen fillpen=invisible, pen drawpen=currentpen,
                real dx=3, real minwidth=minblockwidth,
                real minheight=minblockheight)
{
  frame f=body.f;
  pair m=min(f);
  pair M=max(f);
  pair z=maxbound(M-m+dx*(2,2),(minwidth,minheight));
  path shape=box((0,0),z);

  block block;
  block.draw=new frame(pen p) {
    frame block;
    filldraw(block,shape,fillpen,drawpen);
    add(block,shift(-0.5*(M+m))*f,0.5z);
    return block;
  };
  block.f_position=new pair(real x) {
    return point(shape,x);
  };
  block.f_center=0.5*z;
  block.center=center;
  block.size=z;
  block.f_bottomleft=point(shape,0);
  block.f_bottom=point(shape,0.5); 
  block.f_bottomright=point(shape,1); 
  block.f_right=point(shape,1.5); 
  block.f_topright=point(shape,2); 
  block.f_top=point(shape,2.5); 
  block.f_topleft=point(shape,3); 
  block.f_left=point(shape,3.5); 
  return block;
}

block parallelogram(object body, pair center=(0,0),
                    pen fillpen=invisible, pen drawpen=currentpen,
                    real dx=3, real slope=2,
                    real minwidth=minblockwidth,
                    real minheight=minblockheight)
{
  frame f=body.f;
  pair m=min(f);
  pair M=max(f);
  pair bound=maxbound(M-m+dx*(0,2),(minwidth,minheight));

  real skew=bound.y/slope;
  real a=bound.x+skew;
  real b=bound.y;

  path shape=(0,0)--(a,0)--(a+skew,b)--(skew,b)--cycle;

  block block;
  block.draw=new frame(pen p) {
    frame block;
    filldraw(block,shape,fillpen,drawpen);
    add(block,shift(-0.5*(M+m))*f,((a+skew)/2,b/2));
    return block;
  };
  block.f_position=new pair(real x) {
    return point(shape,x);
  };
  block.f_center=((a+skew)/2,b/2);
  block.center=center;
  block.size=(a+skew,b);
  block.f_bottomleft=(0,0);
  block.f_bottom=((a+skew)/2,0);
  block.f_bottomright=(a,0);
  block.f_right=(a+skew/2,b/2);
  block.f_topright=(a+skew,b);
  block.f_top=((a+skew)/2,b);
  block.f_topleft=(skew,b);
  block.f_left=(skew/2,b/2);
  return block;
}

block diamond(object body, pair center=(0,0),
              pen fillpen=invisible, pen drawpen=currentpen,
              real ds=5, real dw=1,
              real height=20, real minwidth=minblockwidth,
              real minheight=minblockheight)
{
  frame f=body.f;
  pair m=min(f);
  pair M=max(f);
  pair bound=maxbound(M-m,(minwidth,minheight));
  
  real e=ds;
  real a=0.5bound.x-dw;
  real b=0.5bound.y;
  real c=b+height;

  real arg=a^2+b^2+c^2-2b*c-e^2;
  real denom=e^2-a^2;
  real slope=arg >= 0 && denom != 0 ? (a*(c-b)-e*sqrt(arg))/denom : 1.0;
  real d=abs(c/slope);

  path shape=(2d,c)--(d,2c)--(0,c)--(d,0)--cycle;

  block block;
  block.draw=new frame(pen p) {
    frame block;
    filldraw(block,shape,fillpen,drawpen);
    add(block,shift(-0.5*(M+m))*f,(d,c));
    return block;
  };
  block.f_position=new pair(real x) {
    return point(shape,x);
  };
  block.f_center=(point(shape,1).x,point(shape,0).y);
  block.center=center;
  block.size=(point(shape,0).x,point(shape,1).y);
  block.f_bottomleft=point(shape,2.5); 
  block.f_bottom=point(shape,3); 
  block.f_bottomright=point(shape,3.5); 
  block.f_right=point(shape,0); 
  block.f_topright=point(shape,0.5); 
  block.f_top=point(shape,1); 
  block.f_topleft=point(shape,1.5); 
  block.f_left=point(shape,2); 
  return block;
}

block circle(object body, pair center=(0,0), pen fillpen=invisible,
             pen drawpen=currentpen, real dr=3,
             real mindiameter=mincirclediameter)
{
  frame f=body.f;
  pair m=min(f);
  pair M=max(f);
  real r=max(0.5length(M-m)+dr,0.5mindiameter);
  
  path shape=(0,r)..(r,2r)..(2r,r)..(r,0)..cycle;
  
  block block;
  block.draw=new frame(pen p) {
    frame block;
    filldraw(block,shape,fillpen,drawpen);
    add(block,shift(-0.5*(M+m))*f,(r,r));
    return block;
  };
  block.f_position=new pair(real x) {
    return point(shape,x);
  };
  block.f_center=(r,r);
  block.center=center;
  block.size=(2r,2r);
  block.f_left=point(shape,0);
  block.f_topleft=point(shape,0.5); 
  block.f_top=point(shape,1); 
  block.f_topright=point(shape,1.5); 
  block.f_right=point(shape,2); 
  block.f_bottomright=point(shape,2.5); 
  block.f_bottom=point(shape,3); 
  block.f_bottomleft=point(shape,3.5); 
  return block;
}

block roundrectangle(object body, pair center=(0,0),
                     pen fillpen=invisible, pen drawpen=currentpen,
                     real ds=5, real dw=0, real minwidth=minblockwidth,
                     real minheight=minblockheight)
{
  frame f=body.f;
  pair m=min(f);
  pair M=max(f);
  pair bound=maxbound(M-m,(minwidth,minheight));

  real a=bound.x;
  real b=bound.y;
  
  path shape=(0,ds+dw)--(0,ds+b-dw){up}..{right}
  (ds+dw,2ds+b)--(ds+a-dw,2ds+b){right}..{down}
  (2ds+a,ds+b-dw)--(2ds+a,ds+dw){down}..{left}
  (ds+a-dw,0)--(ds+dw,0){left}..{up}cycle;
  
  block block;
  block.draw=new frame(pen p) {
    frame block;
    filldraw(block,shape,fillpen,drawpen);
    add(block,shift(-0.5*(M+m))*f,(ds,ds)+0.5bound);
    return block;
  };
  block.f_position=new pair(real x) {
    return point(shape,x);
  };
  block.f_center=(ds+0.5a,ds+0.5b);
  block.center=center;
  block.size=(2ds+a,2ds+b);
  block.f_bottomleft=point(shape,7.5); 
  block.f_bottom=point(shape,6.5); 
  block.f_bottomright=point(shape,5.5); 
  block.f_right=point(shape,4.5); 
  block.f_topright=point(shape,3.5); 
  block.f_top=point(shape,2.5); 
  block.f_topleft=point(shape,1.5); 
  block.f_left=point(shape,0.5); 
  return block;
}

block bevel(object body, pair center=(0,0), pen fillpen=invisible,
            pen drawpen=currentpen, real dh=5, real dw=5,
            real minwidth=minblockwidth, real minheight=minblockheight)
{
  frame f=body.f;
  pair m=min(f);
  pair M=max(f);
  pair bound=maxbound(M-m,(minwidth,minheight));

  real a=bound.x;
  real b=0.5bound.y;

  path shape=(2dw+a,b+dh)--(dw+a,2b+2dh)--(dw,2b+2dh)--(0,b+dh)--(dw,0)--
    (dw+a,0)--cycle;
  block block;
  block.draw=new frame(pen p) {
    frame block;
    filldraw(block,shape,fillpen,drawpen);
    add(block,shift(-0.5*(M+m))*f,(0.5bound+(dw,dh)));
    return block;
  };
  block.f_position=new pair(real x) {
    return point(shape,x);
  };
  block.f_center=(dw+0.5a,dh+b);
  block.center=center;
  block.size=(2dw+a,2dh+2b);
  block.f_bottomleft=point(shape,4); 
  block.f_bottom=point(shape,4.5); 
  block.f_bottomright=point(shape,5); 
  block.f_right=point(shape,0); 
  block.f_topright=point(shape,1); 
  block.f_top=point(shape,1.5); 
  block.f_topleft=point(shape,2); 
  block.f_left=point(shape,3); 
  return block;
}

path path(pair point[] ... flowdir dir[])
{
  path line=point[0];
  pair current, prev=point[0];
  for(int i=1; i < point.length; ++i) {
    if(i-1 >= dir.length || dir[i-1] == Horizontal)
      current=(point[i].x,point[i-1].y);
    else 
      current=(point[i-1].x,point[i].y);
    
    if(current != prev) {
      line=line--current;
      prev=current;
    }
    
    current=point[i];
    if(current != prev) {
      line=line--current;
      prev=current;
    }
  }
  return line;
}

void draw(picture pic=currentpicture, block block, pen p=currentpen)
{
  pic.add(new void(frame f, transform t) {
      add(f,shift(block.shift(t))*block.draw(p));
    },true);
  pic.addBox(block.center,block.center,
             -0.5*block.size+min(p),0.5*block.size+max(p));
}

typedef block blockconnector(block, block);

blockconnector blockconnector(picture pic, transform t, pen p=currentpen,
                              margin margin=PenMargin)
{
  return new block(block b1, block b2) {
    if(b1.dirs.length == 0) {
      if(abs(b1.center.y-b2.center.y) < sqrtEpsilon) {
        // horizontally aligned
        b1.dirs[0]=b1.center.x < b2.center.x ? right : left;
        blockconnector(pic,t,p,margin)(b1,b2);
      } else if(abs(b1.center.x-b2.center.x) < sqrtEpsilon) {
        // vertically aligned
        b1.dirs[0]=b1.center.y < b2.center.y ? up : down;
        blockconnector(pic,t,p,margin)(b1,b2);
      } else {
        if(abs(b1.center.y-b2.center.y) < abs(b1.center.x-b2.center.x)) {
          b1.dirs[0]=b1.center.x < b2.center.x ? right : left;
          b1.dirs[1]=b1.center.y < b2.center.y ? up : down;
          blockconnector(pic,t,p,margin)(b1,b2);
        } else {
          b1.dirs[0]=b1.center.y < b2.center.y ? up : down;
          b1.dirs[1]=b1.center.x < b2.center.x ? right : left;
          blockconnector(pic,t,p,margin)(b1,b2);
        }
      }
      return b2;
    }

    // compute the link for given directions (and label if any)
    pair[] dirs=copy(b1.dirs); // deep copy
    pair current,prev;
    pair dir=dirs[0];
    if(dir == up) prev=b1.top(t);
    if(dir == down) prev=b1.bottom(t);
    if(dir == left) prev=b1.left(t);
    if(dir == right) prev=b1.right(t);
    path line=prev;
    arrowbar arrow=b1.arrow;

    int i;
    for(i=1; i < dirs.length-1; ++i) {
      if(abs(length(dirs[i-1])-1) < sqrtEpsilon)
        current=prev+t*dirs[i-1]*defaultexcursion;
      else
        current=prev+t*dirs[i-1];

      if(current != prev) {
        line=line--current;
        prev=current;
      }
    }
    dir=dirs[dirs.length-1];
    current=0;
    if(dir == up) current=b2.bottom(t);
    if(dir == down) current=b2.top(t);
    if(dir == left) current=b2.right(t);
    if(dir == right) current=b2.left(t);
    if(abs(dirs[i-1].y) < sqrtEpsilon &&
       abs(prev.x-current.x) > sqrtEpsilon) {
      prev=(current.x,prev.y);
      line=line--prev; // horizontal
    } else if(abs(dirs[i-1].x) < sqrtEpsilon &&
              abs(prev.y-current.y) > sqrtEpsilon) {
      prev=(prev.x,current.y);
      line=line--prev;
    }
    if(current != prev)
      line=line--current;

    draw(pic,b1.label,line,p,arrow,margin);

    b1.label="";
    b1.dirs.delete();
    b1.arrow=None;
    return b2;
  };
}

struct Dir
{
  pair z;
  void operator init(pair z) {this.z=z;}
}

Dir Right=Dir(right);
Dir Left=Dir(left);
Dir Up=Dir(up);
Dir Down=Dir(down);

// Add a label to the current link
block operator --(block b1, Label label)
{
  b1.label=label;
  return b1;
}

// Add a direction to the current link
block operator --(block b1, Dir dir)
{
  b1.dirs.push(dir.z);
  return b1;
}

// Add an arrowbar to the current link
block operator --(block b, arrowbar arrowbar)
{
  b.arrow=arrowbar;
  return b;
}