summaryrefslogtreecommitdiff
path: root/Master/texmf/asymptote/grid3.asy
blob: 98e043a71d72f5bdfd60dfeadf7e6296ee6ee3a4 (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
// grid3.asy
// Author: Philippe Ivaldi (Grids in 3D)
// http://www.piprime.fr/
// Created: 10 janvier 2007

import graph3;

struct grid3 {
  path3 axea,axeb;
  bounds bds;
  triple dir;
  valuetime vt;
  ticklocate locate;
  void create(picture pic, path3 axea, path3 axeb, path3 axelevel,
              real min, real max, position pos, autoscaleT t) {
    real position=pos.position.x;
    triple level;
    if(pos.relative) {
      position=reltime(axelevel,position);
      level=point(axelevel,position)-point(axelevel,0);
    } else {
      triple v=unit(point(axelevel,1)-point(axelevel,0));
      triple zerolevel=dot(-point(axelevel,0),v)*v;
      level=zerolevel+position*v;
    }
    this.axea=shift(level)*axea;
    this.axeb=shift(level)*axeb;
    bds=autoscale(min,max,t.scale);
    locate=ticklocate(min,max,t,bds.min,bds.max,
                      Dir(point(axeb,0)-point(axea,0)));
  }
};

typedef grid3 grid3routine(picture pic);

triple X(picture pic) {return (pic.userMax().x,pic.userMin().y,pic.userMin().z);}
triple XY(picture pic) {return (pic.userMax().x,pic.userMax().y,pic.userMin().z);}
triple Y(picture pic) {return (pic.userMin().x,pic.userMax().y,pic.userMin().z);}
triple YZ(picture pic) {return (pic.userMin().x,pic.userMax().y,pic.userMax().z);}
triple Z(picture pic) {return (pic.userMin().x,pic.userMin().y,pic.userMax().z);}
triple ZX(picture pic) {return (pic.userMax().x,pic.userMin().y,pic.userMax().z);}

grid3routine XYgrid(position pos=Relative(0)) {
  return new grid3(picture pic) {
    grid3 og;
    triple m=pic.userMin();
    triple M=pic.userMax();
    og.create(pic,m--X(pic),Y(pic)--XY(pic),m--Z(pic),
              m.x,M.x,pos,pic.scale.x);
    return og;
  };
};
grid3routine XYgrid=XYgrid();

grid3routine YXgrid(position pos=Relative(0)) {
  return new grid3(picture pic) {
    grid3 og;
    triple m=pic.userMin();
    triple M=pic.userMax();
    og.create(pic,m--Y(pic),X(pic)--XY(pic),m--Z(pic),
              m.y,M.y,pos,pic.scale.y);
    return og;
  };
};
grid3routine YXgrid=YXgrid();


grid3routine XZgrid(position pos=Relative(0)) {
  return new grid3(picture pic) {
    grid3 og;
    triple m=pic.userMin();
    triple M=pic.userMax();
    og.create(pic,m--X(pic),Z(pic)--ZX(pic),m--Y(pic),
              m.x,M.x,pos,pic.scale.x);
    return og;
  };
};
grid3routine XZgrid=XZgrid();

grid3routine ZXgrid(position pos=Relative(0)) {
  return new grid3(picture pic) {
    grid3 og;
    triple m=pic.userMin();
    triple M=pic.userMax();
    og.create(pic,m--Z(pic),X(pic)--ZX(pic),m--Y(pic),
              m.z,M.z,pos,pic.scale.z);
    return og;
  };
};
grid3routine ZXgrid=ZXgrid();

grid3routine YZgrid(position pos=Relative(0)) {
  return new grid3(picture pic) {
    grid3 og;
    triple m=pic.userMin();
    triple M=pic.userMax();
    og.create(pic,m--Y(pic),Z(pic)--YZ(pic),m--X(pic),
              m.y,M.y,pos,pic.scale.y);
    return og;
  };
};
grid3routine YZgrid=YZgrid();

grid3routine ZYgrid(position pos=Relative(0)) {
  return new grid3(picture pic) {
    grid3 og;
    triple m=pic.userMin();
    triple M=pic.userMax();
    og.create(pic,m--Z(pic),Y(pic)--YZ(pic),m--X(pic),
              m.z,M.z,pos,pic.scale.z);
    return og;
  };
};
grid3routine ZYgrid=ZYgrid();

typedef grid3routine grid3routines[] ;

grid3routines XYXgrid(position pos=Relative(0)) {
  grid3routines ogs=new grid3routine[] {XYgrid(pos),YXgrid(pos)};
  return ogs;
};
grid3routines XYXgrid=XYXgrid();
grid3routines YXYgrid(position pos=Relative(0)) {return XYXgrid(pos);};
grid3routines YXYgrid=XYXgrid();

grid3routines ZXZgrid(position pos=Relative(0)) {
  grid3routines ogs=new grid3routine[] {ZXgrid(pos),XZgrid(pos)};
  return ogs;
};
grid3routines ZXZgrid=ZXZgrid();
grid3routines XZXgrid(position pos=Relative(0)) {return ZXZgrid(pos);};
grid3routines XZXgrid=XZXgrid();

grid3routines ZYZgrid(position pos=Relative(0)) {
  grid3routines ogs=new grid3routine[] {ZYgrid(pos),YZgrid(pos)};
  return ogs;
};
grid3routines ZYZgrid=ZYZgrid();
grid3routines YZYgrid(position pos=Relative(0)) {return ZYZgrid(pos);};
grid3routines YZYgrid=YZYgrid();

grid3routines XY_XZgrid(position posa=Relative(0), position posb=Relative(0)) {
  grid3routines ogs=new grid3routine[] {XYgrid(posa),XZgrid(posb)};
  return ogs;
};
grid3routines XY_XZgrid=XY_XZgrid();

grid3routines YX_YZgrid(position posa=Relative(0), position posb=Relative(0)) {
  grid3routines ogs=new grid3routine[] {YXgrid(posa),YZgrid(posb)};
  return ogs;
};
grid3routines YX_YZgrid=YX_YZgrid();

grid3routines ZX_ZYgrid(position posa=Relative(0), position posb=Relative(0)) {
  grid3routines ogs=new grid3routine[] {ZXgrid(posa),ZYgrid(posb)};
  return ogs;
};
grid3routines ZX_ZYgrid=ZX_ZYgrid();

typedef grid3routines[] grid3routinetype;

grid3routinetype XYZgrid(position pos=Relative(0))
{
  grid3routinetype ogs=new grid3routines[] {YZYgrid(pos),XYXgrid(pos),
                                            XZXgrid(pos)};
  return ogs;
}
grid3routinetype XYZgrid=XYZgrid();

grid3routines operator cast(grid3routine gridroutine) {
  grid3routines og=new grid3routine[] {gridroutine};
  return og;
}

grid3routinetype operator cast(grid3routines gridroutine) {
  grid3routinetype og=new grid3routines[] {gridroutine};
  return og;
}

grid3routinetype operator cast(grid3routine gridroutine) {
  grid3routinetype og=(grid3routinetype)(grid3routines) gridroutine;
  return og;
}

void grid3(picture pic=currentpicture,
           grid3routinetype gridroutine=XYZgrid,
           int N=0, int n=0, real Step=0, real step=0,
           bool begin=true, bool end=true,
           pen pGrid=grey, pen pgrid=lightgrey,
           bool above=false)
{
  for(int j=0; j < gridroutine.length; ++j) {
    grid3routines gridroutinej=gridroutine[j];
    for(int i=0; i < gridroutinej.length; ++i) {
      grid3 gt=gridroutinej[i](pic);
      pic.add(new void(picture f, transform3 t, transform3 T, triple, triple) {
          picture d;
          ticks3 ticks=Ticks3(1,F="%",ticklabel=null,
                              beginlabel=false,endlabel=false,
                              N=N,n=n,Step=Step,step=step,
                              begin=begin,end=end,
                              Size=0,size=0,extend=true,
                              pTick=pGrid,ptick=pgrid);
          ticks(d,t,"",gt.axea,gt.axeb,nullpen,None,NoMargin3,gt.locate,
                gt.bds.divisor,opposite=true,primary=false);
          add(f,t*T*inverse(t)*d);
        },above=above);
      addPath(pic,gt.axea,pGrid);
      addPath(pic,gt.axeb,pGrid);
    }
  }
}

void grid3(picture pic=currentpicture,
           grid3routinetype gridroutine,
           int N=0, int n=0, real Step=0, real step=0,
           bool begin=true, bool end=true,
           pen[] pGrid, pen[] pgrid,
           bool above=false)
{
  if(pGrid.length != gridroutine.length || pgrid.length != gridroutine.length)
    abort("pen array has different length than grid");
  for(int i=0; i < gridroutine.length; ++i) {
    grid3(pic=pic,gridroutine=gridroutine[i],
          N=N,n=n,Step=Step,step=step,
          begin=begin,end=end,
          pGrid=pGrid[i],pgrid=pgrid[i],
          above=above);
  }
}

position top=Relative(1);
position bottom=Relative(0);
position middle=Relative(0.5);

// Structure used to communicate ticks and axis settings to grid3 routines.
struct ticksgridT {
  ticks3 ticks;
  // Other arguments of grid3 are define by ticks and axis settings
  void grid3(picture, bool);
};

typedef ticksgridT ticksgrid();


ticksgrid InOutTicks(Label F="", ticklabel ticklabel=null,
                     bool beginlabel=true, bool endlabel=true,
                     int N=0, int n=0, real Step=0, real step=0,
                     bool begin=true, bool end=true,
                     real Size=0, real size=0,
                     pen pTick=nullpen, pen ptick=nullpen,
                     grid3routinetype gridroutine,
                     pen pGrid=grey, pen pgrid=lightgrey)
{
  return new ticksgridT()
    {
      ticksgridT otg;
      otg.ticks=Ticks3(0,F,ticklabel,beginlabel,endlabel,
                       N,n,Step,step,begin,end,
                       Size,size,false,pTick,ptick);
      otg.grid3=new void(picture pic, bool above) {
        grid3(pic,gridroutine,N,n,Step,step,begin,end,pGrid,pgrid,above);
      };
      return otg;
    };
}

ticksgrid InTicks(Label F="", ticklabel ticklabel=null,
                  bool beginlabel=true, bool endlabel=true,
                  int N=0, int n=0, real Step=0, real step=0,
                  bool begin=true, bool end=true,
                  real Size=0, real size=0,
                  pen pTick=nullpen, pen ptick=nullpen,
                  grid3routinetype gridroutine,
                  pen pGrid=grey, pen pgrid=lightgrey)
{
  return new ticksgridT()
    {
      ticksgridT otg;
      otg.ticks=Ticks3(-1,F,ticklabel,beginlabel,endlabel,N,n,Step,step,
                       begin,end,Size,size,false,pTick,ptick);
      otg.grid3=new void(picture pic, bool above) {
        grid3(pic,gridroutine,N,n,Step,step,begin,end,pGrid,pgrid,above);
      };
      return otg;
    };
}

ticksgrid OutTicks(Label F="", ticklabel ticklabel=null,
                   bool beginlabel=true, bool endlabel=true,
                   int N=0, int n=0, real Step=0, real step=0,
                   bool begin=true, bool end=true,
                   real Size=0, real size=0,
                   pen pTick=nullpen, pen ptick=nullpen,
                   grid3routinetype gridroutine,
                   pen pGrid=grey, pen pgrid=lightgrey)
{
  return new ticksgridT()
    {
      ticksgridT otg;
      otg.ticks=Ticks3(1,F,ticklabel,beginlabel,endlabel,N,n,Step,step,
                       begin,end,Size,size,false,pTick,ptick);
      otg.grid3=new void(picture pic, bool above) {
        grid3(pic,gridroutine,N,n,Step,step,begin,end,pGrid,pgrid,above);
      };
      return otg;
    };
}

void xaxis3(picture pic=currentpicture, Label L="", axis axis=YZZero,
            pen p=currentpen, ticksgrid ticks,
            arrowbar3 arrow=None, bool above=false)
{
  xaxis3(pic,L,axis,p,ticks().ticks,arrow,above);
  ticks().grid3(pic,above);
}

void yaxis3(picture pic=currentpicture, Label L="", axis axis=XZZero,
            pen p=currentpen, ticksgrid ticks,
            arrowbar3 arrow=None, bool above=false)
{
  yaxis3(pic,L,axis,p,ticks().ticks,arrow,above);
  ticks().grid3(pic,above);
}

void zaxis3(picture pic=currentpicture, Label L="", axis axis=XYZero,
            pen p=currentpen, ticksgrid ticks,
            arrowbar3 arrow=None, bool above=false)
{
  zaxis3(pic,L,axis,p,ticks().ticks,arrow,above);
  ticks().grid3(pic,above);
}

/* Example:

   import grid3;

   size(8cm,0);
   currentprojection=orthographic(0.5,1,0.5);

   defaultpen(overwrite(SuppressQuiet));

   scale(Linear, Linear, Log);

   grid3(pic=currentpicture, // picture
   gridroutine=XYZgrid(// grid3routine
   // or grid3routine[] (alias grid3routines)
   // or grid3routines[]:
   // The routine(s) to draw the grid(s):
   // *XYgrid: draw grid from X in direction of Y
   // *YXgrid: draw grid from Y in direction of X, ...
   // *An array of previous values XYgrid, YXgrid, ...
   // *XYXgrid: draw XYgrid and YXgrid grids
   // *YXYgrid: draw XYgrid and YXgrid grids
   // *ZXZgrid: draw ZXgrid and XZgrid grids
   // *YX_YZgrid: draw YXgrid and YZgrid grids
   // *XY_XZgrid: draw XYgrid and XZgrid grids
   // *YX_YZgrid: draw YXgrid and YZgrid grids
   // *An array of previous values XYXgrid,...
   // *XYZgrid: draw XYXgrid, ZYZgrid, XZXgrid grids.
   pos=Relative(0)),
   // the position of the grid relative to the axis
   // perpendicular to the grid; a real number
   // specifies a coordinate relative  to this axis.
   // Aliases: top=Relative(1), middle=Relative(0.5)
   // and bottom=Relative(0).

   // These arguments are similar to those of InOutTicks():
   N=0,                // int
   n=0,                // int
   Step=0,             // real
   step=0,             // real
   begin=true,         // bool
   end=true,           // bool
   pGrid=grey,         // pen
   pgrid=lightgrey,    // pen
   above=false         // bool
   );

   xaxis3(Label("$x$",position=EndPoint,align=S),OutTicks());
   yaxis3(Label("$y$",position=EndPoint,align=S),OutTicks());
   zaxis3(Label("$z$",position=EndPoint,align=(0,0.5)+W),OutTicks());
*/

/* Other examples:

   int N=10, n=2;
   xaxis3(Label("$x$",position=EndPoint,align=S),OutTicks());
   yaxis3(Label("$y$",position=EndPoint,align=S),OutTicks(N=N,n=n));
   zaxis3(Label("$z$",position=EndPoint,align=(0,0.5)+W),OutTicks());
   grid3(N=N,n=n);

   xaxis3(Label("$x$",position=EndPoint,align=S),OutTicks());
   yaxis3(Label("$y$",position=EndPoint,align=S),OutTicks());
   zaxis3(Label("$z$",position=EndPoint,align=(0,0.5)+W),OutTicks());
   grid3(new grid3routines[] {XYXgrid(top),XZXgrid(0)});

   xaxis3(Label("$x$",position=EndPoint,align=S),OutTicks());
   yaxis3(Label("$y$",position=EndPoint,align=S),OutTicks());
   zaxis3(Label("$z$",position=EndPoint,align=(0,0.5)+W),OutTicks());
   grid3(new grid3routines[] {XYXgrid(-0.5),XYXgrid(1.5)},
   pGrid=new pen[] {red,blue},
   pgrid=new pen[] {0.5red,0.5blue});

   // Axes with grids:

   xaxis3(Label("$x$",position=EndPoint,align=S),
   OutTicks(Step=0.5,gridroutine=XYgrid));
   yaxis3(Label("$y$",position=EndPoint,align=S),
   InOutTicks(Label("",align=0.5X),N=8,n=2,gridroutine=YX_YZgrid));
   zaxis3("$z$",OutTicks(ZYgrid));
*/