File: meshcam_macros.inc

package info (click to toggle)
povray 1%3A3.7.0.10-3
  • links: PTS, VCS
  • area: main
  • in suites: forky, trixie
  • size: 147,232 kB
  • sloc: cpp: 845,011; ansic: 122,118; sh: 34,204; pascal: 6,420; asm: 3,355; ada: 1,681; makefile: 1,389; cs: 879; awk: 590; perl: 245; xml: 95
file content (598 lines) | stat: -rw-r--r-- 29,807 bytes parent folder | download | duplicates (7)
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
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
// This work is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License.
// To view a copy of this license, visit http://creativecommons.org/licenses/by-sa/3.0/ or send a
// letter to Creative Commons, 444 Castro Street, Suite 900, Mountain View, California, 94041, USA.

/* Persistence Of Vision Raytracer sample file.

   Mesh Camera macros for use with the new mesh_camera.
  
   These macros help to create and place the grid-like meshes needed to simulate
   a camera with the new mesh_camera feature:
  
   + meshcam_pinhole() creates a convex mesh simulating a perspective camera, for use with distrib.#0,1,2
   + meshcam_lens() creates a convex mesh like above, but adding simulated lens distortion, for use with distrib.#0,1,2
   + meshcam_pinhole_uv() is a uv mapped version of meshcam_pinhole(), for use with distrib.#3
   + meshcam_placement() helps to place the mesh cameras created by the other macros.
  
   --
   Jaime Vives Piqueres, Jan. 2011  <jaime@ignorancia.org> */

/***************************************************************************************
 * $File: //depot/povray/smp/distribution/scenes/camera/mesh_camera/meshcam_macros.inc $
 * $Revision: #2 $
 * $Change: 5377 $
 * $DateTime: 2011/01/09 19:56:00 $
 * $Author: jholsenback $
 **************************************************************************************/
#include "math.inc"
#include "transforms.inc"

/*
  Convex grid-like mesh for pinhole perspective projection
*/  
#macro meshcam_pinhole(res_x, res_y, c_angle, c_file)

#local c_up=1*y;
#local c_right=(res_x/res_y)*x;
#local c_direction=0.5*vlength(c_right)/tan(radians(c_angle)/2);

#local sph_lens=sphere{0,c_direction}

#local px_inc=(res_x/res_y)/res_x;
#local centering=<-res_x*.5*px_inc+px_inc*.5,res_y*.5*px_inc-px_inc-px_inc*2/3,0>;

#local tr_base_1=<        0,2*px_inc/3,0>;
#local tr_base_2=< px_inc/2, -px_inc/3,0>;
#local tr_base_3=<-px_inc/2, -px_inc/3,0>;

#if (c_file!="")
 #fopen fmesh c_file write
 #write (fmesh, "mesh{", "\n")
#end
mesh{
#local row_count=0;
#while (row_count<res_y)
  #local col_count=0;
  #local d_y=row_count*px_inc;
  #while (col_count<res_x)
     #local d_x=col_count*px_inc;
     #local Norm=<0,0,0>;
     #local tr_vertex_1=trace(sph_lens,0,tr_base_1+<d_x,-d_y,c_direction>+centering, Norm);
     #local tr_vertex_2=trace(sph_lens,0,tr_base_2+<d_x,-d_y,c_direction>+centering, Norm);
     #local tr_vertex_3=trace(sph_lens,0,tr_base_3+<d_x,-d_y,c_direction>+centering, Norm);
     triangle{tr_vertex_1,tr_vertex_2,tr_vertex_3}
     #if (c_file!="")
      #write (fmesh, "triangle{", 
              "<",str(tr_vertex_1.x,0,16),",",str(tr_vertex_1.y,0,16),",",str(tr_vertex_1.z,0,16),">", ",", 
              "<",str(tr_vertex_2.x,0,16),",",str(tr_vertex_2.y,0,16),",",str(tr_vertex_2.z,0,16),">", ",", 
              "<",str(tr_vertex_3.x,0,16),",",str(tr_vertex_3.y,0,16),",",str(tr_vertex_3.z,0,16),">", "}", "\n")
     #end
     #local col_count=col_count+1;
  #end
  #local row_count=row_count+1;
#end
}
#if (c_file!="")
 #write (fmesh, "}", "\n")
 #fclose fmesh
#end

#end


/*
  Convex grid-like mesh for pinhole perspective projection
  --
  Version simulating lens distortion: use positive values for barrel, negative for pincushion
*/  
#macro meshcam_lens(res_x, res_y, c_angle, c_distort, c_file)

#local c_up=1*y;
#local c_right=(res_x/res_y)*x;
#local c_direction=0.5*vlength(c_right)/tan(radians(c_angle)/2);

#local sph_lens=sphere{0,c_direction}

#local px_inc=(res_x/res_y)/res_x;
#local centering=<-res_x*.5*px_inc+px_inc*.5,res_y*.5*px_inc-px_inc-px_inc*2/3,0>;

#local tr_base_1=<        0,2*px_inc/3,0>;
#local tr_base_2=< px_inc/2, -px_inc/3,0>;
#local tr_base_3=<-px_inc/2, -px_inc/3,0>;

#if (c_file!="")
 #fopen fmesh c_file write
 #write (fmesh, "mesh{", "\n")
#end
mesh{
#local row_count=0;
#while (row_count<res_y)
  #local col_count=0;
  #local d_y=row_count*px_inc;
  #while (col_count<res_x)
     #local d_x=col_count*px_inc;
     #local Norm=<0,0,0>;
     #local tr_vertex_1=trace(sph_lens,0,tr_base_1+<d_x,-d_y,c_direction>+centering, Norm);
     #local tr_vertex_2=trace(sph_lens,0,tr_base_2+<d_x,-d_y,c_direction>+centering, Norm);
     #local tr_vertex_3=trace(sph_lens,0,tr_base_3+<d_x,-d_y,c_direction>+centering, Norm);
     #if (c_distort!=0)
      #local tr_vertex_1=tr_vertex_1-c_distort*pow(abs(tr_vertex_1.x)*abs(tr_vertex_1.y),2)*z;
      #local tr_vertex_2=tr_vertex_2-c_distort*pow(abs(tr_vertex_2.x)*abs(tr_vertex_2.y),2)*z;
      #local tr_vertex_3=tr_vertex_3-c_distort*pow(abs(tr_vertex_3.x)*abs(tr_vertex_3.y),2)*z;
     #end
     triangle{tr_vertex_1,tr_vertex_2,tr_vertex_3}
     #if (c_file!="")
      #write (fmesh, "triangle{", 
              "<",str(tr_vertex_1.x,0,16),",",str(tr_vertex_1.y,0,16),",",str(tr_vertex_1.z,0,16),">", ",", 
              "<",str(tr_vertex_2.x,0,16),",",str(tr_vertex_2.y,0,16),",",str(tr_vertex_2.z,0,16),">", ",", 
              "<",str(tr_vertex_3.x,0,16),",",str(tr_vertex_3.y,0,16),",",str(tr_vertex_3.z,0,16),">", "}", "\n")
     #end
     #local col_count=col_count+1;
  #end
  #local row_count=row_count+1;
#end
}
#if (c_file!="")
 #write (fmesh, "}", "\n")
 #fclose fmesh
#end

#end


/*
  Flat grid-like mesh for pure orthographic projection
*/  
#macro meshcam_orthographic(res_x, res_y, c_up_length, c_file)

#local c_direction=1;
#local px_inc=c_up_length*(res_x/res_y)/res_x;
#local centering=<-res_x*.5*px_inc+px_inc*.5,res_y*.5*px_inc-px_inc-px_inc*2/3,0>;

#local tr_base_1=<        0,px_inc*2/3,0>;
#local tr_base_2=< px_inc/2, -px_inc/3,0>;
#local tr_base_3=<-px_inc/2, -px_inc/3,0>;

#if (c_file!="")
 #fopen fmesh c_file write
 #write (fmesh, "mesh{", "\n")
#end
mesh{
#local row_count=0;
#while (row_count<res_y)
  #local col_count=0;
  #local d_y=row_count*px_inc;
  #while (col_count<res_x)
     #local d_x=col_count*px_inc;
     #local tr_vertex_1=tr_base_1+<d_x,-d_y,c_direction>+centering;
     #local tr_vertex_2=tr_base_2+<d_x,-d_y,c_direction>+centering;
     #local tr_vertex_3=tr_base_3+<d_x,-d_y,c_direction>+centering;
     triangle{tr_vertex_1,tr_vertex_2,tr_vertex_3}
     #if (c_file!="")
      #write (fmesh, "triangle{", 
              "<",str(tr_vertex_1.x,0,16),",",str(tr_vertex_1.y,0,16),",",str(tr_vertex_1.z,0,16),">", ",", 
              "<",str(tr_vertex_2.x,0,16),",",str(tr_vertex_2.y,0,16),",",str(tr_vertex_2.z,0,16),">", ",", 
              "<",str(tr_vertex_3.x,0,16),",",str(tr_vertex_3.y,0,16),",",str(tr_vertex_3.z,0,16),">", "}", "\n")
     #end
     #local col_count=col_count+1;
  #end
  #local row_count=row_count+1;
#end
}
#if (c_file!="")
 #write (fmesh, "}", "\n")
 #fclose fmesh
#end

#end


/*
  Convex grid-like mesh for pinhole perspective projection
  --
  Version with UV mapping for use with distrib.#3 and the "smooth" modifier.  
*/  
#macro meshcam_pinhole_uv(res_x, res_y, c_angle, c_file)

#local c_up=1*y;
#local c_right=(res_x/res_y)*x;
#local c_direction=0.5*vlength(c_right)/tan(radians(c_angle)/2);

#local sph_lens=sphere{0,c_direction}

#local px_inc=(res_x/res_y)/res_x;
#local centering=<-res_x*.5*px_inc,res_y*.5*px_inc,0>;

#local tr_base_1=<px_inc/2,-px_inc/2,0>;
#local tr_base_2=<0,0,0>;
#local tr_base_3=<px_inc,0,0>;
#local tr_base_4=<px_inc,-px_inc,0>;
#local tr_base_5=<0,-px_inc,0>;

#if (c_file!="")
 #fopen fmesh c_file write
 #write (fmesh, "mesh{", "\n")
#end
mesh{
#local row_count=0;
#while (row_count<res_y)
  #local col_count=0;
  #local d_y=row_count*px_inc;
  #while (col_count<res_x)
     #local d_x=col_count*px_inc;
     #local Norm=<0,0,0>;
     #local tr_vertex_1=trace(sph_lens,0,tr_base_1+<d_x,-d_y,c_direction>+centering, Norm);
     #local tr_normal_1=Norm;
     #local tr_vertex_2=trace(sph_lens,0,tr_base_2+<d_x,-d_y,c_direction>+centering, Norm);
     #local tr_normal_2=Norm;
     #local tr_vertex_3=trace(sph_lens,0,tr_base_3+<d_x,-d_y,c_direction>+centering, Norm);
     #local tr_normal_3=Norm;
     #local tr_vertex_4=trace(sph_lens,0,tr_base_4+<d_x,-d_y,c_direction>+centering, Norm);
     #local tr_normal_4=Norm;
     #local tr_vertex_5=trace(sph_lens,0,tr_base_5+<d_x,-d_y,c_direction>+centering, Norm);
     #local tr_normal_5=Norm;
     smooth_triangle{tr_vertex_1, tr_normal_1, tr_vertex_2, tr_normal_2, tr_vertex_3, tr_normal_3
      uv_vectors 
        <(tr_base_1.x+d_x)/(res_x*px_inc),1-abs(tr_base_1.y-d_y)/(res_y*px_inc)>,
        <(tr_base_2.x+d_x)/(res_x*px_inc),1-abs(tr_base_2.y-d_y)/(res_y*px_inc)>,
        <(tr_base_3.x+d_x)/(res_x*px_inc),1-abs(tr_base_3.y-d_y)/(res_y*px_inc)>
     }
     smooth_triangle{tr_vertex_1, tr_normal_1, tr_vertex_3, tr_normal_3, tr_vertex_4, tr_normal_4
      uv_vectors 
        <(tr_base_1.x+d_x)/(res_x*px_inc),1-abs(tr_base_1.y-d_y)/(res_y*px_inc)>,
        <(tr_base_3.x+d_x)/(res_x*px_inc),1-abs(tr_base_3.y-d_y)/(res_y*px_inc)>,
        <(tr_base_4.x+d_x)/(res_x*px_inc),1-abs(tr_base_4.y-d_y)/(res_y*px_inc)>
     }
     smooth_triangle{tr_vertex_1, tr_normal_1, tr_vertex_4, tr_normal_4, tr_vertex_5, tr_normal_5
      uv_vectors 
        <(tr_base_1.x+d_x)/(res_x*px_inc),1-abs(tr_base_1.y-d_y)/(res_y*px_inc)>,
        <(tr_base_4.x+d_x)/(res_x*px_inc),1-abs(tr_base_4.y-d_y)/(res_y*px_inc)>,
        <(tr_base_5.x+d_x)/(res_x*px_inc),1-abs(tr_base_5.y-d_y)/(res_y*px_inc)>
     }
     smooth_triangle{tr_vertex_1, tr_normal_1, tr_vertex_5, tr_normal_5, tr_vertex_2, tr_normal_2
      uv_vectors 
        <(tr_base_1.x+d_x)/(res_x*px_inc),1-abs(tr_base_1.y-d_y)/(res_y*px_inc)>,
        <(tr_base_5.x+d_x)/(res_x*px_inc),1-abs(tr_base_5.y-d_y)/(res_y*px_inc)>,
        <(tr_base_2.x+d_x)/(res_x*px_inc),1-abs(tr_base_2.y-d_y)/(res_y*px_inc)>
     }
     #if (c_file!="")
      #write (fmesh, "smooth_triangle{", 
              "<",str(tr_vertex_1.x,0,16),",",str(tr_vertex_1.y,0,16),",",str(tr_vertex_1.z,0,16),">", ",", 
              "<",str(tr_normal_1.x,0,16),",",str(tr_normal_1.y,0,16),",",str(tr_normal_1.z,0,16),">", ",", 
              "<",str(tr_vertex_2.x,0,16),",",str(tr_vertex_2.y,0,16),",",str(tr_vertex_2.z,0,16),">", ",", 
              "<",str(tr_normal_2.x,0,16),",",str(tr_normal_2.y,0,16),",",str(tr_normal_2.z,0,16),">", ",", 
              "<",str(tr_vertex_3.x,0,16),",",str(tr_vertex_3.y,0,16),",",str(tr_vertex_3.z,0,16),">", ",",
              "<",str(tr_normal_3.x,0,16),",",str(tr_normal_3.y,0,16),",",str(tr_normal_3.z,0,16),">", 
              "uv_vectors ",
              "<", str((tr_base_1.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_1.y-d_y)/(res_y*px_inc),0,16), ">,",
              "<", str((tr_base_2.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_2.y-d_y)/(res_y*px_inc),0,16), ">,",
              "<", str((tr_base_3.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_3.y-d_y)/(res_y*px_inc),0,16), ">}",
              "\n")
      #write (fmesh, "smooth_triangle{", 
              "<",str(tr_vertex_1.x,0,16),",",str(tr_vertex_1.y,0,16),",",str(tr_vertex_1.z,0,16),">", ",", 
              "<",str(tr_normal_1.x,0,16),",",str(tr_normal_1.y,0,16),",",str(tr_normal_1.z,0,16),">", ",", 
              "<",str(tr_vertex_3.x,0,16),",",str(tr_vertex_3.y,0,16),",",str(tr_vertex_3.z,0,16),">", ",", 
              "<",str(tr_normal_3.x,0,16),",",str(tr_normal_3.y,0,16),",",str(tr_normal_3.z,0,16),">",
              "<",str(tr_vertex_4.x,0,16),",",str(tr_vertex_4.y,0,16),",",str(tr_vertex_4.z,0,16),">", ",",  
              "<",str(tr_normal_4.x,0,16),",",str(tr_normal_4.y,0,16),",",str(tr_normal_4.z,0,16),">",
              "uv_vectors ",
              "<", str((tr_base_1.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_1.y-d_y)/(res_y*px_inc),0,16), ">,",
              "<", str((tr_base_3.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_3.y-d_y)/(res_y*px_inc),0,16), ">,",
              "<", str((tr_base_4.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_4.y-d_y)/(res_y*px_inc),0,16), ">}",
              "\n")
      #write (fmesh, "smooth_triangle{", 
              "<",str(tr_vertex_1.x,0,16),",",str(tr_vertex_1.y,0,16),",",str(tr_vertex_1.z,0,16),">", ",", 
              "<",str(tr_normal_1.x,0,16),",",str(tr_normal_1.y,0,16),",",str(tr_normal_1.z,0,16),">", ",", 
              "<",str(tr_vertex_4.x,0,16),",",str(tr_vertex_4.y,0,16),",",str(tr_vertex_4.z,0,16),">", ",", 
              "<",str(tr_normal_4.x,0,16),",",str(tr_normal_4.y,0,16),",",str(tr_normal_4.z,0,16),">", ",", 
              "<",str(tr_vertex_5.x,0,16),",",str(tr_vertex_5.y,0,16),",",str(tr_vertex_5.z,0,16),">", ",",  
              "<",str(tr_normal_5.x,0,16),",",str(tr_normal_5.y,0,16),",",str(tr_normal_5.z,0,16),">", 
              "uv_vectors ",
              "<", str((tr_base_1.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_1.y-d_y)/(res_y*px_inc),0,16), ">,",
              "<", str((tr_base_4.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_4.y-d_y)/(res_y*px_inc),0,16), ">,",
              "<", str((tr_base_5.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_5.y-d_y)/(res_y*px_inc),0,16), ">}",
              "\n")
      #write (fmesh, "smooth_triangle{", 
              "<",str(tr_vertex_1.x,0,16),",",str(tr_vertex_1.y,0,16),",",str(tr_vertex_1.z,0,16),">", ",", 
              "<",str(tr_normal_1.x,0,16),",",str(tr_normal_1.y,0,16),",",str(tr_normal_1.z,0,16),">", ",", 
              "<",str(tr_vertex_5.x,0,16),",",str(tr_vertex_5.y,0,16),",",str(tr_vertex_5.z,0,16),">", ",", 
              "<",str(tr_normal_5.x,0,16),",",str(tr_normal_5.y,0,16),",",str(tr_normal_5.z,0,16),">", ",", 
              "<",str(tr_vertex_2.x,0,16),",",str(tr_vertex_2.y,0,16),",",str(tr_vertex_2.z,0,16),">", ",",  
              "<",str(tr_normal_2.x,0,16),",",str(tr_normal_2.y,0,16),",",str(tr_normal_2.z,0,16),">",
              "uv_vectors ",
              "<", str((tr_base_1.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_1.y-d_y)/(res_y*px_inc),0,16), ">,",
              "<", str((tr_base_5.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_5.y-d_y)/(res_y*px_inc),0,16), ">,",
              "<", str((tr_base_2.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_2.y-d_y)/(res_y*px_inc),0,16), ">}",
              "\n")
     #end
     #local col_count=col_count+1;
  #end
  #local row_count=row_count+1;
#end
}
#if (c_file!="")
 #write (fmesh, "}", "\n")
 #fclose fmesh
#end

#end


/*
  Convex grid-like mesh for pinhole perspective projection
  --
  Version simulating lens distortion: use positive values for barrel, negative for pincushion
  Version with UV mapping for use with distrib.#3 and the "smooth" modifier.  
*/  
#macro meshcam_lens_uv(res_x, res_y, c_angle, c_distort, c_file)

#local c_up=1*y;
#local c_right=(res_x/res_y)*x;
#local c_direction=0.5*vlength(c_right)/tan(radians(c_angle)/2);

#local sph_lens=sphere{0,c_direction}

#local px_inc=(res_x/res_y)/res_x;
#local centering=<-res_x*.5*px_inc,res_y*.5*px_inc,0>;

#local tr_base_1=<px_inc/2,-px_inc/2,0>;
#local tr_base_2=<0,0,0>;
#local tr_base_3=<px_inc,0,0>;
#local tr_base_4=<px_inc,-px_inc,0>;
#local tr_base_5=<0,-px_inc,0>;

#if (c_file!="")
 #fopen fmesh c_file write
 #write (fmesh, "mesh{", "\n")
#end
mesh{
#local row_count=0;
#while (row_count<res_y)
  #local col_count=0;
  #local d_y=row_count*px_inc;
  #while (col_count<res_x)
     #local d_x=col_count*px_inc;
     #local Norm=<0,0,0>;
     #local tr_tmp_1=tr_base_1+<d_x,-d_y,c_direction>+centering;
     #local tr_tmp_2=tr_base_2+<d_x,-d_y,c_direction>+centering;
     #local tr_tmp_3=tr_base_3+<d_x,-d_y,c_direction>+centering;
     #local tr_tmp_4=tr_base_4+<d_x,-d_y,c_direction>+centering;
     #local tr_tmp_5=tr_base_5+<d_x,-d_y,c_direction>+centering;
     #if (c_distort!=0) // had to multiply it by 10 to obtain the same result as the non-uvmapped version?!?!
      #local tr_tmp_1=tr_tmp_1-c_distort*10*pow(abs(tr_tmp_1.x)*abs(tr_tmp_1.y),2)*z;
      #local tr_tmp_2=tr_tmp_2-c_distort*10*pow(abs(tr_tmp_2.x)*abs(tr_tmp_2.y),2)*z;
      #local tr_tmp_3=tr_tmp_3-c_distort*10*pow(abs(tr_tmp_3.x)*abs(tr_tmp_3.y),2)*z;
      #local tr_tmp_4=tr_tmp_4-c_distort*10*pow(abs(tr_tmp_4.x)*abs(tr_tmp_4.y),2)*z;
      #local tr_tmp_5=tr_tmp_5-c_distort*10*pow(abs(tr_tmp_5.x)*abs(tr_tmp_5.y),2)*z;
     #end    
     #local tr_vertex_1=trace(sph_lens,0,tr_tmp_1, Norm);
     #local tr_normal_1=Norm;
     #local tr_vertex_2=trace(sph_lens,0,tr_tmp_2, Norm);
     #local tr_normal_2=Norm;
     #local tr_vertex_3=trace(sph_lens,0,tr_tmp_3, Norm);
     #local tr_normal_3=Norm;
     #local tr_vertex_4=trace(sph_lens,0,tr_tmp_4, Norm);
     #local tr_normal_4=Norm;
     #local tr_vertex_5=trace(sph_lens,0,tr_tmp_5, Norm);
     #local tr_normal_5=Norm;
     smooth_triangle{tr_vertex_1, tr_normal_1, tr_vertex_2, tr_normal_2, tr_vertex_3, tr_normal_3
      uv_vectors 
        <(tr_base_1.x+d_x)/(res_x*px_inc),1-abs(tr_base_1.y-d_y)/(res_y*px_inc)>,
        <(tr_base_2.x+d_x)/(res_x*px_inc),1-abs(tr_base_2.y-d_y)/(res_y*px_inc)>,
        <(tr_base_3.x+d_x)/(res_x*px_inc),1-abs(tr_base_3.y-d_y)/(res_y*px_inc)>
     }
     smooth_triangle{tr_vertex_1, tr_normal_1, tr_vertex_3, tr_normal_3, tr_vertex_4, tr_normal_4
      uv_vectors 
        <(tr_base_1.x+d_x)/(res_x*px_inc),1-abs(tr_base_1.y-d_y)/(res_y*px_inc)>,
        <(tr_base_3.x+d_x)/(res_x*px_inc),1-abs(tr_base_3.y-d_y)/(res_y*px_inc)>,
        <(tr_base_4.x+d_x)/(res_x*px_inc),1-abs(tr_base_4.y-d_y)/(res_y*px_inc)>
     }
     smooth_triangle{tr_vertex_1, tr_normal_1, tr_vertex_4, tr_normal_4, tr_vertex_5, tr_normal_5
      uv_vectors 
        <(tr_base_1.x+d_x)/(res_x*px_inc),1-abs(tr_base_1.y-d_y)/(res_y*px_inc)>,
        <(tr_base_4.x+d_x)/(res_x*px_inc),1-abs(tr_base_4.y-d_y)/(res_y*px_inc)>,
        <(tr_base_5.x+d_x)/(res_x*px_inc),1-abs(tr_base_5.y-d_y)/(res_y*px_inc)>
     }
     smooth_triangle{tr_vertex_1, tr_normal_1, tr_vertex_5, tr_normal_5, tr_vertex_2, tr_normal_2
      uv_vectors 
        <(tr_base_1.x+d_x)/(res_x*px_inc),1-abs(tr_base_1.y-d_y)/(res_y*px_inc)>,
        <(tr_base_5.x+d_x)/(res_x*px_inc),1-abs(tr_base_5.y-d_y)/(res_y*px_inc)>,
        <(tr_base_2.x+d_x)/(res_x*px_inc),1-abs(tr_base_2.y-d_y)/(res_y*px_inc)>
     }
     #if (c_file!="")
      #write (fmesh, "smooth_triangle{", 
              "<",str(tr_vertex_1.x,0,16),",",str(tr_vertex_1.y,0,16),",",str(tr_vertex_1.z,0,16),">", ",", 
              "<",str(tr_normal_1.x,0,16),",",str(tr_normal_1.y,0,16),",",str(tr_normal_1.z,0,16),">", ",", 
              "<",str(tr_vertex_2.x,0,16),",",str(tr_vertex_2.y,0,16),",",str(tr_vertex_2.z,0,16),">", ",", 
              "<",str(tr_normal_2.x,0,16),",",str(tr_normal_2.y,0,16),",",str(tr_normal_2.z,0,16),">", ",", 
              "<",str(tr_vertex_3.x,0,16),",",str(tr_vertex_3.y,0,16),",",str(tr_vertex_3.z,0,16),">", ",",
              "<",str(tr_normal_3.x,0,16),",",str(tr_normal_3.y,0,16),",",str(tr_normal_3.z,0,16),">", 
              "uv_vectors ",
              "<", str((tr_base_1.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_1.y-d_y)/(res_y*px_inc),0,16), ">,",
              "<", str((tr_base_2.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_2.y-d_y)/(res_y*px_inc),0,16), ">,",
              "<", str((tr_base_3.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_3.y-d_y)/(res_y*px_inc),0,16), ">}",
              "\n")
      #write (fmesh, "smooth_triangle{", 
              "<",str(tr_vertex_1.x,0,16),",",str(tr_vertex_1.y,0,16),",",str(tr_vertex_1.z,0,16),">", ",", 
              "<",str(tr_normal_1.x,0,16),",",str(tr_normal_1.y,0,16),",",str(tr_normal_1.z,0,16),">", ",", 
              "<",str(tr_vertex_3.x,0,16),",",str(tr_vertex_3.y,0,16),",",str(tr_vertex_3.z,0,16),">", ",", 
              "<",str(tr_normal_3.x,0,16),",",str(tr_normal_3.y,0,16),",",str(tr_normal_3.z,0,16),">",
              "<",str(tr_vertex_4.x,0,16),",",str(tr_vertex_4.y,0,16),",",str(tr_vertex_4.z,0,16),">", ",",  
              "<",str(tr_normal_4.x,0,16),",",str(tr_normal_4.y,0,16),",",str(tr_normal_4.z,0,16),">",
              "uv_vectors ",
              "<", str((tr_base_1.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_1.y-d_y)/(res_y*px_inc),0,16), ">,",
              "<", str((tr_base_3.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_3.y-d_y)/(res_y*px_inc),0,16), ">,",
              "<", str((tr_base_4.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_4.y-d_y)/(res_y*px_inc),0,16), ">}",
              "\n")
      #write (fmesh, "smooth_triangle{", 
              "<",str(tr_vertex_1.x,0,16),",",str(tr_vertex_1.y,0,16),",",str(tr_vertex_1.z,0,16),">", ",", 
              "<",str(tr_normal_1.x,0,16),",",str(tr_normal_1.y,0,16),",",str(tr_normal_1.z,0,16),">", ",", 
              "<",str(tr_vertex_4.x,0,16),",",str(tr_vertex_4.y,0,16),",",str(tr_vertex_4.z,0,16),">", ",", 
              "<",str(tr_normal_4.x,0,16),",",str(tr_normal_4.y,0,16),",",str(tr_normal_4.z,0,16),">", ",", 
              "<",str(tr_vertex_5.x,0,16),",",str(tr_vertex_5.y,0,16),",",str(tr_vertex_5.z,0,16),">", ",",  
              "<",str(tr_normal_5.x,0,16),",",str(tr_normal_5.y,0,16),",",str(tr_normal_5.z,0,16),">", 
              "uv_vectors ",
              "<", str((tr_base_1.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_1.y-d_y)/(res_y*px_inc),0,16), ">,",
              "<", str((tr_base_4.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_4.y-d_y)/(res_y*px_inc),0,16), ">,",
              "<", str((tr_base_5.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_5.y-d_y)/(res_y*px_inc),0,16), ">}",
              "\n")
      #write (fmesh, "smooth_triangle{", 
              "<",str(tr_vertex_1.x,0,16),",",str(tr_vertex_1.y,0,16),",",str(tr_vertex_1.z,0,16),">", ",", 
              "<",str(tr_normal_1.x,0,16),",",str(tr_normal_1.y,0,16),",",str(tr_normal_1.z,0,16),">", ",", 
              "<",str(tr_vertex_5.x,0,16),",",str(tr_vertex_5.y,0,16),",",str(tr_vertex_5.z,0,16),">", ",", 
              "<",str(tr_normal_5.x,0,16),",",str(tr_normal_5.y,0,16),",",str(tr_normal_5.z,0,16),">", ",", 
              "<",str(tr_vertex_2.x,0,16),",",str(tr_vertex_2.y,0,16),",",str(tr_vertex_2.z,0,16),">", ",",  
              "<",str(tr_normal_2.x,0,16),",",str(tr_normal_2.y,0,16),",",str(tr_normal_2.z,0,16),">",
              "uv_vectors ",
              "<", str((tr_base_1.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_1.y-d_y)/(res_y*px_inc),0,16), ">,",
              "<", str((tr_base_5.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_5.y-d_y)/(res_y*px_inc),0,16), ">,",
              "<", str((tr_base_2.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_2.y-d_y)/(res_y*px_inc),0,16), ">}",
              "\n")
     #end
     #local col_count=col_count+1;
  #end
  #local row_count=row_count+1;
#end
}
#if (c_file!="")
 #write (fmesh, "}", "\n")
 #fclose fmesh
#end

#end


/*
  Flat grid-like mesh for pure orthographic projection
  --
  Version with UV mapping for use with distrib.#3 
*/  
#macro meshcam_orthographic_uv(res_x, res_y, c_up_length, c_file)

#local c_direction=1;
#local px_inc=c_up_length*(res_x/res_y)/res_x;
#local centering=<-res_x*.5*px_inc,res_y*.5*px_inc,0>;

#local tr_base_1=<px_inc/2,-px_inc/2,0>;
#local tr_base_2=<0,0,0>;
#local tr_base_3=<px_inc,0,0>;
#local tr_base_4=<px_inc,-px_inc,0>;
#local tr_base_5=<0,-px_inc,0>;

#if (c_file!="")
 #fopen fmesh c_file write
 #write (fmesh, "mesh{", "\n")
#end
mesh{
#local row_count=0;
#while (row_count<res_y)
  #local col_count=0;
  #local d_y=row_count*px_inc;
  #while (col_count<res_x)
     #local d_x=col_count*px_inc;
     #local tr_vertex_1=tr_base_1+<d_x,-d_y,c_direction>+centering;
     #local tr_vertex_2=tr_base_2+<d_x,-d_y,c_direction>+centering;
     #local tr_vertex_3=tr_base_3+<d_x,-d_y,c_direction>+centering;
     #local tr_vertex_4=tr_base_4+<d_x,-d_y,c_direction>+centering;
     #local tr_vertex_5=tr_base_5+<d_x,-d_y,c_direction>+centering;
     #local Norm=z;
     smooth_triangle{tr_vertex_1, Norm, tr_vertex_2, Norm, tr_vertex_3, Norm
      uv_vectors 
        <(tr_base_1.x+d_x)/(res_x*px_inc),1-abs(tr_base_1.y-d_y)/(res_y*px_inc)>,
        <(tr_base_2.x+d_x)/(res_x*px_inc),1-abs(tr_base_2.y-d_y)/(res_y*px_inc)>,
        <(tr_base_3.x+d_x)/(res_x*px_inc),1-abs(tr_base_3.y-d_y)/(res_y*px_inc)>
     }
     smooth_triangle{tr_vertex_1, Norm, tr_vertex_3, Norm, tr_vertex_4, Norm
      uv_vectors 
        <(tr_base_1.x+d_x)/(res_x*px_inc),1-abs(tr_base_1.y-d_y)/(res_y*px_inc)>,
        <(tr_base_3.x+d_x)/(res_x*px_inc),1-abs(tr_base_3.y-d_y)/(res_y*px_inc)>,
        <(tr_base_4.x+d_x)/(res_x*px_inc),1-abs(tr_base_4.y-d_y)/(res_y*px_inc)>
     }
     smooth_triangle{tr_vertex_1, Norm, tr_vertex_4, Norm, tr_vertex_5, Norm
      uv_vectors 
        <(tr_base_1.x+d_x)/(res_x*px_inc),1-abs(tr_base_1.y-d_y)/(res_y*px_inc)>,
        <(tr_base_4.x+d_x)/(res_x*px_inc),1-abs(tr_base_4.y-d_y)/(res_y*px_inc)>,
        <(tr_base_5.x+d_x)/(res_x*px_inc),1-abs(tr_base_5.y-d_y)/(res_y*px_inc)>
     }
     smooth_triangle{tr_vertex_1, Norm, tr_vertex_5, Norm, tr_vertex_2, Norm
      uv_vectors 
        <(tr_base_1.x+d_x)/(res_x*px_inc),1-abs(tr_base_1.y-d_y)/(res_y*px_inc)>,
        <(tr_base_5.x+d_x)/(res_x*px_inc),1-abs(tr_base_5.y-d_y)/(res_y*px_inc)>,
        <(tr_base_2.x+d_x)/(res_x*px_inc),1-abs(tr_base_2.y-d_y)/(res_y*px_inc)>
     }
     #if (c_file!="")
      #write (fmesh, "smooth_triangle{", 
              "<",str(tr_vertex_1.x,0,16),",",str(tr_vertex_1.y,0,16),",",str(tr_vertex_1.z,0,16),">", ",", 
              "<",str(Norm.x,0,16),",",str(Norm.y,0,16),",",str(Norm.z,0,16),">", ",", 
              "<",str(tr_vertex_2.x,0,16),",",str(tr_vertex_2.y,0,16),",",str(tr_vertex_2.z,0,16),">", ",", 
              "<",str(Norm.x,0,16),",",str(Norm.y,0,16),",",str(Norm.z,0,16),">", ",", 
              "<",str(tr_vertex_3.x,0,16),",",str(tr_vertex_3.y,0,16),",",str(tr_vertex_3.z,0,16),">", ",",
              "<",str(Norm.x,0,16),",",str(Norm.y,0,16),",",str(Norm.z,0,16),">", 
              "uv_vectors ",
              "<", str((tr_base_1.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_1.y-d_y)/(res_y*px_inc),0,16), ">,",
              "<", str((tr_base_2.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_2.y-d_y)/(res_y*px_inc),0,16), ">,",
              "<", str((tr_base_3.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_3.y-d_y)/(res_y*px_inc),0,16), ">}",
              "\n")
      #write (fmesh, "smooth_triangle{", 
              "<",str(tr_vertex_1.x,0,16),",",str(tr_vertex_1.y,0,16),",",str(tr_vertex_1.z,0,16),">", ",", 
              "<",str(Norm.x,0,16),",",str(Norm.y,0,16),",",str(Norm.z,0,16),">", ",", 
              "<",str(tr_vertex_3.x,0,16),",",str(tr_vertex_3.y,0,16),",",str(tr_vertex_3.z,0,16),">", ",", 
              "<",str(Norm.x,0,16),",",str(Norm.y,0,16),",",str(Norm.z,0,16),">",
              "<",str(tr_vertex_4.x,0,16),",",str(tr_vertex_4.y,0,16),",",str(tr_vertex_4.z,0,16),">", ",",  
              "<",str(Norm.x,0,16),",",str(Norm.y,0,16),",",str(Norm.z,0,16),">",
              "uv_vectors ",
              "<", str((tr_base_1.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_1.y-d_y)/(res_y*px_inc),0,16), ">,",
              "<", str((tr_base_3.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_3.y-d_y)/(res_y*px_inc),0,16), ">,",
              "<", str((tr_base_4.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_4.y-d_y)/(res_y*px_inc),0,16), ">}",
              "\n")
      #write (fmesh, "smooth_triangle{", 
              "<",str(tr_vertex_1.x,0,16),",",str(tr_vertex_1.y,0,16),",",str(tr_vertex_1.z,0,16),">", ",", 
              "<",str(Norm.x,0,16),",",str(Norm.y,0,16),",",str(Norm.z,0,16),">", ",", 
              "<",str(tr_vertex_4.x,0,16),",",str(tr_vertex_4.y,0,16),",",str(tr_vertex_4.z,0,16),">", ",", 
              "<",str(Norm.x,0,16),",",str(Norm.y,0,16),",",str(Norm.z,0,16),">", ",", 
              "<",str(tr_vertex_5.x,0,16),",",str(tr_vertex_5.y,0,16),",",str(tr_vertex_5.z,0,16),">", ",",  
              "<",str(Norm.x,0,16),",",str(Norm.y,0,16),",",str(Norm.z,0,16),">", 
              "uv_vectors ",
              "<", str((tr_base_1.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_1.y-d_y)/(res_y*px_inc),0,16), ">,",
              "<", str((tr_base_4.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_4.y-d_y)/(res_y*px_inc),0,16), ">,",
              "<", str((tr_base_5.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_5.y-d_y)/(res_y*px_inc),0,16), ">}",
              "\n")
      #write (fmesh, "smooth_triangle{", 
              "<",str(tr_vertex_1.x,0,16),",",str(tr_vertex_1.y,0,16),",",str(tr_vertex_1.z,0,16),">", ",", 
              "<",str(Norm.x,0,16),",",str(Norm.y,0,16),",",str(Norm.z,0,16),">", ",", 
              "<",str(tr_vertex_5.x,0,16),",",str(tr_vertex_5.y,0,16),",",str(tr_vertex_5.z,0,16),">", ",", 
              "<",str(Norm.x,0,16),",",str(Norm.y,0,16),",",str(Norm.z,0,16),">", ",", 
              "<",str(tr_vertex_2.x,0,16),",",str(tr_vertex_2.y,0,16),",",str(tr_vertex_2.z,0,16),">", ",",  
              "<",str(Norm.x,0,16),",",str(Norm.y,0,16),",",str(Norm.z,0,16),">",
              "uv_vectors ",
              "<", str((tr_base_1.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_1.y-d_y)/(res_y*px_inc),0,16), ">,",
              "<", str((tr_base_5.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_5.y-d_y)/(res_y*px_inc),0,16), ">,",
              "<", str((tr_base_2.x+d_x)/(res_x*px_inc),0,16), ",", str(1-abs(tr_base_2.y-d_y)/(res_y*px_inc),0,16), ">}",
              "\n")
     #end
     #local col_count=col_count+1;
  #end
  #local row_count=row_count+1;
#end
}
#if (c_file!="")
 #write (fmesh, "}", "\n")
 #fclose fmesh
#end

#end


/*
  Creates a transform to place the mesh camera at the "location", looking at the "look_at ".
*/
#macro meshcam_placement(c_lo, c_la)

transform{
  transform{Reorient_Trans(z,<c_la.x,0,c_la.z>-<c_lo.x,0,c_lo.z>)}
  transform{Reorient_Trans(<c_la.x,0,c_la.z>-<c_lo.x,0,c_lo.z>,c_la-c_lo)}
  translate c_lo
}

#end