forked from libigl/libigl
-
Notifications
You must be signed in to change notification settings - Fork 1
Expand file tree
/
Copy pathpy_doc.cpp
More file actions
931 lines (931 loc) · 43.3 KB
/
Copy pathpy_doc.cpp
File metadata and controls
931 lines (931 loc) · 43.3 KB
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
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
const char *__doc_igl_principal_curvature = R"igl_Qu8mg5v7(// Compute the principal curvature directions and magnitude of the given triangle mesh
// DerivedV derived from vertex positions matrix type: i.e. MatrixXd
// DerivedF derived from face indices matrix type: i.e. MatrixXi
// Inputs:
// V eigen matrix #V by 3
// F #F by 3 list of mesh faces (must be triangles)
// radius controls the size of the neighbourhood used, 1 = average edge lenght
//
// Outputs:
// PD1 #V by 3 maximal curvature direction for each vertex.
// PD2 #V by 3 minimal curvature direction for each vertex.
// PV1 #V by 1 maximal curvature value for each vertex.
// PV2 #V by 1 minimal curvature value for each vertex.
//
// See also: average_onto_faces, average_onto_vertices
//
// This function has been developed by: Nikolas De Giorgis, Luigi Rocca and Enrico Puppo.
// The algorithm is based on:
// Efficient Multi-scale Curvature and Crease Estimation
// Daniele Panozzo, Enrico Puppo, Luigi Rocca
// GraVisMa, 2010)igl_Qu8mg5v7";
const char *__doc_igl_local_basis = R"igl_Qu8mg5v7(// Compute a local orthogonal reference system for each triangle in the given mesh
// Templates:
// DerivedV derived from vertex positions matrix type: i.e. MatrixXd
// DerivedF derived from face indices matrix type: i.e. MatrixXi
// Inputs:
// V eigen matrix #V by 3
// F #F by 3 list of mesh faces (must be triangles)
// Outputs:
// B1 eigen matrix #F by 3, each vector is tangent to the triangle
// B2 eigen matrix #F by 3, each vector is tangent to the triangle and perpendicular to B1
// B3 eigen matrix #F by 3, normal of the triangle
//
// See also: adjacency_matrix)igl_Qu8mg5v7";
const char *__doc_igl_signed_distance = R"igl_Qu8mg5v7(// Computes signed distance to a mesh
//
// Inputs:
// P #P by 3 list of query point positions
// V #V by 3 list of vertex positions
// F #F by ss list of triangle indices, ss should be 3 unless sign_type ==
// SIGNED_DISTANCE_TYPE_UNSIGNED
// sign_type method for computing distance _sign_ S
// Outputs:
// S #P list of smallest signed distances
// I #P list of facet indices corresponding to smallest distances
// C #P by 3 list of closest points
// N #P by 3 list of closest normals (only set if
// sign_type=SIGNED_DISTANCE_TYPE_PSEUDONORMAL)
//
// Known bugs: This only computes distances to triangles. So unreferenced
// vertices and degenerate triangles are ignored.)igl_Qu8mg5v7";
const char *__doc_igl_signed_distance_pseudonormal = R"igl_Qu8mg5v7(// Computes signed distance to mesh
//
// Inputs:
// tree AABB acceleration tree (see AABB.h)
// F #F by 3 list of triangle indices
// FN #F by 3 list of triangle normals
// VN #V by 3 list of vertex normals (ANGLE WEIGHTING)
// EN #E by 3 list of edge normals (UNIFORM WEIGHTING)
// EMAP #F*3 mapping edges in F to E
// q Query point
// Returns signed distance to mesh
//)igl_Qu8mg5v7";
const char *__doc_igl_signed_distance_winding_number = R"igl_Qu8mg5v7(// Inputs:
// tree AABB acceleration tree (see cgal/point_mesh_squared_distance.h)
// hier Winding number evaluation hierarchy
// q Query point
// Returns signed distance to mesh)igl_Qu8mg5v7";
const char *__doc_igl_triangle_triangulate = R"igl_Qu8mg5v7(// Triangulate the interior of a polygon using the triangle library.
//
// Inputs:
// V #V by 2 list of 2D vertex positions
// E #E by 2 list of vertex ids forming unoriented edges of the boundary of the polygon
// H #H by 2 coordinates of points contained inside holes of the polygon
// flags string of options pass to triangle (see triangle documentation)
// Outputs:
// V2 #V2 by 2 coordinates of the vertives of the generated triangulation
// F2 #F2 by 3 list of indices forming the faces of the generated triangulation
//
// TODO: expose the option to prevent Steiner points on the boundary
//)igl_Qu8mg5v7";
const char *__doc_igl_embree_ambient_occlusion = R"igl_Qu8mg5v7(// Compute ambient occlusion per given point
//
// Inputs:
// ei EmbreeIntersector containing (V,F)
// P #P by 3 list of origin points
// N #P by 3 list of origin normals
// Outputs:
// S #P list of ambient occlusion values between 1 (fully occluded) and
// 0 (not occluded)
//)igl_Qu8mg5v7";
const char *__doc_igl_cotmatrix = R"igl_Qu8mg5v7(// Constructs the cotangent stiffness matrix (discrete laplacian) for a given
// mesh (V,F).
//
// Templates:
// DerivedV derived type of eigen matrix for V (e.g. derived from
// MatrixXd)
// DerivedF derived type of eigen matrix for F (e.g. derived from
// MatrixXi)
// Scalar scalar type for eigen sparse matrix (e.g. double)
// Inputs:
// V #V by dim list of mesh vertex positions
// F #F by simplex_size list of mesh faces (must be triangles)
// Outputs:
// L #V by #V cotangent matrix, each row i corresponding to V(i,:)
//
// See also: adjacency_matrix
//
// Note: This Laplacian uses the convention that diagonal entries are
// **minus** the sum of off-diagonal entries. The diagonal entries are
// therefore in general negative and the matrix is **negative** semi-definite
// (immediately, -L is **positive** semi-definite)
//
// Known bugs: off by 1e-16 on regular grid. I think its a problem of
// arithmetic order in cotmatrix_entries.h: C(i,e) = (arithmetic)/dblA/4)igl_Qu8mg5v7";
const char *__doc_igl_floor = R"igl_Qu8mg5v7(// Floor a given matrix to nearest integers
//
// Inputs:
// X m by n matrix of scalars
// Outputs:
// Y m by n matrix of floored integers)igl_Qu8mg5v7";
const char *__doc_igl_slice = R"igl_Qu8mg5v7(// Act like the matlab X(row_indices,col_indices) operator, where
// row_indices, col_indices are non-negative integer indices.
//
// Inputs:
// X m by n matrix
// R list of row indices
// C list of column indices
// Output:
// Y #R by #C matrix
//
// See also: slice_mask)igl_Qu8mg5v7";
const char *__doc_igl_per_face_normals = R"igl_Qu8mg5v7(// Compute face normals via vertex position list, face list
// Inputs:
// V #V by 3 eigen Matrix of mesh vertex 3D positions
// F #F by 3 eigen Matrix of face (triangle) indices
// Z 3 vector normal given to faces with degenerate normal.
// Output:
// N #F by 3 eigen Matrix of mesh face (triangle) 3D normals
//
// Example:
// // Give degenerate faces (1/3,1/3,1/3)^0.5
// per_face_normals(V,F,Vector3d(1,1,1).normalized(),N);)igl_Qu8mg5v7";
const char *__doc_igl_per_face_normals_stable = R"igl_Qu8mg5v7(// Special version where order of face indices is guaranteed not to effect
// output.)igl_Qu8mg5v7";
const char *__doc_igl_quad_planarity = R"igl_Qu8mg5v7(// Compute planarity of the faces of a quad mesh
// Inputs:
// V #V by 3 eigen Matrix of mesh vertex 3D positions
// F #F by 4 eigen Matrix of face (quad) indices
// Output:
// P #F by 1 eigen Matrix of mesh face (quad) planarities
//)igl_Qu8mg5v7";
const char *__doc_igl_readOFF = R"igl_Qu8mg5v7(// Read a mesh from an ascii obj file, filling in vertex positions, normals
// and texture coordinates. Mesh may have faces of any number of degree
//
// Templates:
// Scalar type for positions and vectors (will be read as double and cast
// to Scalar)
// Index type for indices (will be read as int and cast to Index)
// Inputs:
// str path to .obj file
// Outputs:
// V double matrix of vertex positions #V by 3
// F #F list of face indices into vertex positions
// TC double matrix of texture coordinats #TC by 2
// FTC #F list of face indices into vertex texture coordinates
// N double matrix of corner normals #N by 3
// FN #F list of face indices into vertex normals
// Returns true on success, false on errors)igl_Qu8mg5v7";
const char *__doc_igl_per_vertex_normals = R"igl_Qu8mg5v7(// Compute vertex normals via vertex position list, face list
// Inputs:
// V #V by 3 eigen Matrix of mesh vertex 3D positions
// F #F by 3 eigne Matrix of face (triangle) indices
// weighting Weighting type
// Output:
// N #V by 3 eigen Matrix of mesh vertex 3D normals)igl_Qu8mg5v7";
const char *__doc_igl_sortrows = R"igl_Qu8mg5v7(// Act like matlab's [Y,I] = sortrows(X)
//
// Templates:
// DerivedX derived scalar type, e.g. MatrixXi or MatrixXd
// DerivedI derived integer type, e.g. MatrixXi
// Inputs:
// X m by n matrix whose entries are to be sorted
// ascending sort ascending (true, matlab default) or descending (false)
// Outputs:
// Y m by n matrix whose entries are sorted (**should not** be same
// reference as X)
// I m list of indices so that
// Y = X(I,:);)igl_Qu8mg5v7";
const char *__doc_igl_barycenter = R"igl_Qu8mg5v7(// Computes the barycenter of every simplex
//
// Inputs:
// V #V x dim matrix of vertex coordinates
// F #F x simplex_size matrix of indices of simplex corners into V
// Output:
// BC #F x dim matrix of 3d vertices
//)igl_Qu8mg5v7";
const char *__doc_igl_jet = R"igl_Qu8mg5v7(// JET like MATLAB's jet
//
// Inputs:
// m number of colors
// Outputs:
// J m by list of RGB colors between 0 and 1
//
//#ifndef IGL_NO_EIGEN
// void jet(const int m, Eigen::MatrixXd & J);
//#endif
// Wrapper for directly computing [r,g,b] values for a given factor f between
// 0 and 1
//
// Inputs:
// f factor determining color value as if 0 was min and 1 was max
// Outputs:
// r red value
// g green value
// b blue value)igl_Qu8mg5v7";
const char *__doc_igl_cat = R"igl_Qu8mg5v7(// Perform concatenation of a two matrices along a single dimension
// If dim == 1, then C = [A;B]. If dim == 2 then C = [A B]
//
// Template:
// Scalar scalar data type for sparse matrices like double or int
// Mat matrix type for all matrices (e.g. MatrixXd, SparseMatrix)
// MatC matrix type for ouput matrix (e.g. MatrixXd) needs to support
// resize
// Inputs:
// A first input matrix
// B second input matrix
// dim dimension along which to concatenate, 0 or 1
// Outputs:
// C output matrix
// )igl_Qu8mg5v7";
const char *__doc_igl_eigs = R"igl_Qu8mg5v7(See eigs for the documentation.)igl_Qu8mg5v7";
const char *__doc_igl_per_corner_normals = R"igl_Qu8mg5v7(// Compute vertex normals via vertex position list, face list
// Inputs:
// V #V by 3 eigen Matrix of mesh vertex 3D positions
// F #F by 3 eigne Matrix of face (triangle) indices
// corner_threshold threshold in degrees on sharp angles
// Output:
// CN #F*3 by 3 eigen Matrix of mesh vertex 3D normals, where the normal
// for corner F(i,j) is at CN(i*3+j,:) )igl_Qu8mg5v7";
const char *__doc_igl_massmatrix = R"igl_Qu8mg5v7(// Constructs the mass (area) matrix for a given mesh (V,F).
//
// Templates:
// DerivedV derived type of eigen matrix for V (e.g. derived from
// MatrixXd)
// DerivedF derived type of eigen matrix for F (e.g. derived from
// MatrixXi)
// Scalar scalar type for eigen sparse matrix (e.g. double)
// Inputs:
// V #V by dim list of mesh vertex positions
// F #F by simplex_size list of mesh faces (must be triangles)
// type one of the following ints:
// MASSMATRIX_TYPE_BARYCENTRIC barycentric
// MASSMATRIX_TYPE_VORONOI voronoi-hybrid {default}
// MASSMATRIX_TYPE_FULL full {not implemented}
// Outputs:
// M #V by #V mass matrix
//
// See also: adjacency_matrix
//)igl_Qu8mg5v7";
const char *__doc_igl_unproject_onto_mesh = R"igl_Qu8mg5v7(// Unproject a screen location (using current opengl viewport, projection, and
// model view) to a 3D position _onto_ a given mesh, if the ray through the
// given screen location (x,y) _hits_ the mesh.
//
// Inputs:
// pos screen space coordinates
// model model matrix
// proj projection matrix
// viewport vieweport vector
// V #V by 3 list of mesh vertex positions
// F #F by 3 list of mesh triangle indices into V
// Outputs:
// fid id of the first face hit
// bc barycentric coordinates of hit
// Returns true if there's a hit)igl_Qu8mg5v7";
const char *__doc_igl_colon = R"igl_Qu8mg5v7(// Colon operator like matlab's colon operator. Enumerats values between low
// and hi with step step.
// Templates:
// L should be a eigen matrix primitive type like int or double
// S should be a eigen matrix primitive type like int or double
// H should be a eigen matrix primitive type like int or double
// T should be a eigen matrix primitive type like int or double
// Inputs:
// low starting value if step is valid then this is *always* the first
// element of I
// step step difference between sequential elements returned in I,
// remember this will be cast to template T at compile time. If low<hi
// then step must be positive. If low>hi then step must be negative.
// Otherwise I will be set to empty.
// hi ending value, if (hi-low)%step is zero then this will be the last
// element in I. If step is positive there will be no elements greater
// than hi, vice versa if hi<low
// Output:
// I list of values from low to hi with step size step)igl_Qu8mg5v7";
const char *__doc_igl_fit_rotations = R"igl_Qu8mg5v7(// Known issues: This seems to be implemented in Eigen/Geometry:
// Eigen::umeyama
//
// FIT_ROTATIONS Given an input mesh and new positions find rotations for
// every covariance matrix in a stack of covariance matrices
//
// Inputs:
// S nr*dim by dim stack of covariance matrices
// single_precision whether to use single precision (faster)
// Outputs:
// R dim by dim * nr list of rotations
//)igl_Qu8mg5v7";
const char *__doc_igl_fit_rotations_planar = R"igl_Qu8mg5v7(// FIT_ROTATIONS Given an input mesh and new positions find 2D rotations for
// every vertex that best maps its one ring to the new one ring
//
// Inputs:
// S nr*dim by dim stack of covariance matrices, third column and every
// third row will be ignored
// Outputs:
// R dim by dim * nr list of rotations, third row and third column of each
// rotation will just be identity
//)igl_Qu8mg5v7";
const char *__doc_igl_fit_rotations_SSE = R"igl_Qu8mg5v7(See fit_rotations_SSE for the documentation.)igl_Qu8mg5v7";
const char *__doc_igl_rotate_vectors = R"igl_Qu8mg5v7(// Rotate the vectors V by A radiants on the tangent plane spanned by B1 and
// B2
//
// Inputs:
// V #V by 3 eigen Matrix of vectors
// A #V eigen vector of rotation angles or a single angle to be applied
// to all vectors
// B1 #V by 3 eigen Matrix of base vector 1
// B2 #V by 3 eigen Matrix of base vector 2
//
// Output:
// Returns the rotated vectors
//)igl_Qu8mg5v7";
const char *__doc_igl_read_triangle_mesh = R"igl_Qu8mg5v7(// read mesh from an ascii file with automatic detection of file format.
// supported: obj, off, stl, wrl, ply, mesh)
//
// Templates:
// Scalar type for positions and vectors (will be read as double and cast
// to Scalar)
// Index type for indices (will be read as int and cast to Index)
// Inputs:
// str path to file
// Outputs:
// V eigen double matrix #V by 3
// F eigen int matrix #F by 3
// Returns true iff success)igl_Qu8mg5v7";
const char *__doc_igl_gaussian_curvature = R"igl_Qu8mg5v7(// Compute discrete local integral gaussian curvature (angle deficit, without
// averaging by local area).
//
// Inputs:
// V #V by 3 eigen Matrix of mesh vertex 3D positions
// F #F by 3 eigen Matrix of face (triangle) indices
// Output:
// K #V by 1 eigen Matrix of discrete gaussian curvature values
//)igl_Qu8mg5v7";
const char *__doc_igl_planarize_quad_mesh = R"igl_Qu8mg5v7(// Inputs:
// Vin #V by 3 eigen Matrix of mesh vertex 3D positions
// F #F by 4 eigen Matrix of face (quad) indices
// maxIter maximum numbers of iterations
// threshold minimum allowed threshold for non-planarity
// Output:
// Vout #V by 3 eigen Matrix of planar mesh vertex 3D positions
//)igl_Qu8mg5v7";
const char *__doc_igl_avg_edge_length = R"igl_Qu8mg5v7(// Compute the average edge length for the given triangle mesh
// Templates:
// DerivedV derived from vertex positions matrix type: i.e. MatrixXd
// DerivedF derived from face indices matrix type: i.e. MatrixXi
// DerivedL derived from edge lengths matrix type: i.e. MatrixXd
// Inputs:
// V eigen matrix #V by 3
// F #F by simplex-size list of mesh faces (must be simplex)
// Outputs:
// l average edge length
//
// See also: adjacency_matrix)igl_Qu8mg5v7";
const char *__doc_igl_barycentric_coordinates = R"igl_Qu8mg5v7(// Compute barycentric coordinates in a tet
//
// Inputs:
// P #P by 3 Query points in 3d
// A #P by 3 Tet corners in 3d
// B #P by 3 Tet corners in 3d
// C #P by 3 Tet corners in 3d
// D #P by 3 Tet corners in 3d
// Outputs:
// L #P by 4 list of barycentric coordinates
// )igl_Qu8mg5v7";
const char *__doc_igl_lscm = R"igl_Qu8mg5v7(// Compute a Least-squares conformal map parametrization (equivalently
// derived in "Intrinsic Parameterizations of Surface Meshes" [Desbrun et al.
// 2002] and "Least Squares Conformal Maps for Automatic Texture Atlas
// Generation" [Lévy et al. 2002]), though this implementation follows the
// derivation in: "Spectral Conformal Parameterization" [Mullen et al. 2008]
// (note, this does **not** implement the Eigen-decomposition based method in
// [Mullen et al. 2008], which is not equivalent). Input should be a manifold
// mesh (also no unreferenced vertices) and "boundary" (fixed vertices) `b`
// should contain at least two vertices per connected component.
//
// Inputs:
// V #V by 3 list of mesh vertex positions
// F #F by 3 list of mesh faces (must be triangles)
// b #b boundary indices into V
// bc #b by 3 list of boundary values
// Outputs:
// UV #V by 2 list of 2D mesh vertex positions in UV space
// Returns true only on solver success.
//)igl_Qu8mg5v7";
const char *__doc_igl_find_cross_field_singularities = R"igl_Qu8mg5v7(// Inputs:
// V #V by 3 eigen Matrix of mesh vertex 3D positions
// F #F by 3 eigen Matrix of face (quad) indices
// Handle_MMatch #F by 3 eigen Matrix containing the integer missmatch of the cross field
// across all face edges
// Output:
// isSingularity #V by 1 boolean eigen Vector indicating the presence of a singularity on a vertex
// singularityIndex #V by 1 integer eigen Vector containing the singularity indices
//)igl_Qu8mg5v7";
const char *__doc_igl_upsample = R"igl_Qu8mg5v7(// Subdivide a mesh without moving vertices: loop subdivision but odd
// vertices stay put and even vertices are just edge midpoints
//
// Templates:
// MatV matrix for vertex positions, e.g. MatrixXd
// MatF matrix for vertex positions, e.g. MatrixXi
// Inputs:
// V #V by dim mesh vertices
// F #F by 3 mesh triangles
// Outputs:
// NV new vertex positions, V is guaranteed to be at top
// NF new list of face indices
//
// NOTE: V should not be the same as NV,
// NOTE: F should not be the same as NF, use other proto
//
// Known issues:
// - assumes (V,F) is edge-manifold.)igl_Qu8mg5v7";
const char *__doc_igl_slice_mask = R"igl_Qu8mg5v7(// Act like the matlab X(row_mask,col_mask) operator, where
// row_mask, col_mask are non-negative integer indices.
//
// Inputs:
// X m by n matrix
// R m list of row bools
// C n list of column bools
// Output:
// Y #trues-in-R by #trues-in-C matrix
//
// See also: slice_mask)igl_Qu8mg5v7";
const char *__doc_igl_point_mesh_squared_distance = R"igl_Qu8mg5v7(// Compute distances from a set of points P to a triangle mesh (V,F)
//
// Inputs:
// P #P by 3 list of query point positions
// V #V by 3 list of vertex positions
// Ele #Ele by (3|2|1) list of (triangle|edge|point) indices
// Outputs:
// sqrD #P list of smallest squared distances
// I #P list of primitive indices corresponding to smallest distances
// C #P by 3 list of closest points
//
// Known bugs: This only computes distances to given primitivess. So
// unreferenced vertices are ignored. However, degenerate primitives are
// handled correctly: triangle [1 2 2] is treated as a segment [1 2], and
// triangle [1 1 1] is treated as a point. So one _could_ add extra
// combinatorially degenerate rows to Ele for all unreferenced vertices to
// also get distances to points.)igl_Qu8mg5v7";
const char *__doc_igl_parula = R"igl_Qu8mg5v7(// PARULA like MATLAB's parula
//
// Inputs:
// m number of colors
// Outputs:
// J m by list of RGB colors between 0 and 1
//
// Wrapper for directly computing [r,g,b] values for a given factor f between
// 0 and 1
//
// Inputs:
// f factor determining color value as if 0 was min and 1 was max
// Outputs:
// r red value
// g green value
// b blue value)igl_Qu8mg5v7";
const char *__doc_igl_setdiff = R"igl_Qu8mg5v7(// Set difference of elements of matrices
//
// Inputs:
// A m-long vector of indices
// B n-long vector of indices
// Outputs:
// C (k<=m)-long vector of unique elements appearing in A but not in B
// IA (k<=m)-long list of indices into A so that C = A(IA)
//)igl_Qu8mg5v7";
const char *__doc_igl_copyleft_tetgen_tetrahedralize = R"igl_Qu8mg5v7(// Mesh the interior of a surface mesh (V,F) using tetgen
//
// Inputs:
// V #V by 3 vertex position list
// F #F list of polygon face indices into V (0-indexed)
// switches string of tetgen options (See tetgen documentation) e.g.
// "pq1.414a0.01" tries to mesh the interior of a given surface with
// quality and area constraints
// "" will mesh the convex hull constrained to pass through V (ignores F)
// Outputs:
// TV #V by 3 vertex position list
// TT #T by 4 list of tet face indices
// TF #F by 3 list of triangle face indices
// Returns status:
// 0 success
// 1 tetgen threw exception
// 2 tetgen did not crash but could not create any tets (probably there are
// holes, duplicate faces etc.)
// -1 other error)igl_Qu8mg5v7";
const char *__doc_igl_comb_frame_field = R"igl_Qu8mg5v7(// Inputs:
// V #V by 3 eigen Matrix of mesh vertex 3D positions
// F #F by 4 eigen Matrix of face (quad) indices
// PD1 #F by 3 eigen Matrix of the first per face cross field vector
// PD2 #F by 3 eigen Matrix of the second per face cross field vector
// BIS1_combed #F by 3 eigen Matrix of the first combed bisector field vector
// BIS2_combed #F by 3 eigen Matrix of the second combed bisector field vector
// Output:
// PD1_combed #F by 3 eigen Matrix of the first combed cross field vector
// PD2_combed #F by 3 eigen Matrix of the second combed cross field vector
//)igl_Qu8mg5v7";
const char *__doc_igl_map_vertices_to_circle = R"igl_Qu8mg5v7(// Map the vertices whose indices are in a given boundary loop (bnd) on the
// unit circle with spacing proportional to the original boundary edge
// lengths.
//
// Inputs:
// V #V by dim list of mesh vertex positions
// b #W list of vertex ids
// Outputs:
// UV #W by 2 list of 2D position on the unit circle for the vertices in b)igl_Qu8mg5v7";
const char *__doc_igl_writeOBJ = R"igl_Qu8mg5v7(// Write a mesh in an ascii obj file
// Inputs:
// str path to outputfile
// V #V by 3 mesh vertex positions
// F #F by 3|4 mesh indices into V
// CN #CN by 3 normal vectors
// FN #F by 3|4 corner normal indices into CN
// TC #TC by 2|3 texture coordinates
// FTC #F by 3|4 corner texture coord indices into TC
// Returns true on success, false on error)igl_Qu8mg5v7";
const char *__doc_igl_active_set = R"igl_Qu8mg5v7(// Known Bugs: rows of [Aeq;Aieq] **must** be linearly independent. Should be
// using QR decomposition otherwise:
// http://www.okstate.edu/sas/v8/sashtml/ormp/chap5/sect32.htm
//
// ACTIVE_SET Minimize quadratic energy
//
// 0.5*Z'*A*Z + Z'*B + C with constraints
//
// that Z(known) = Y, optionally also subject to the constraints Aeq*Z = Beq,
// and further optionally subject to the linear inequality constraints that
// Aieq*Z <= Bieq and constant inequality constraints lx <= x <= ux
//
// Inputs:
// A n by n matrix of quadratic coefficients
// B n by 1 column of linear coefficients
// known list of indices to known rows in Z
// Y list of fixed values corresponding to known rows in Z
// Aeq meq by n list of linear equality constraint coefficients
// Beq meq by 1 list of linear equality constraint constant values
// Aieq mieq by n list of linear inequality constraint coefficients
// Bieq mieq by 1 list of linear inequality constraint constant values
// lx n by 1 list of lower bounds [] implies -Inf
// ux n by 1 list of upper bounds [] implies Inf
// params struct of additional parameters (see below)
// Z if not empty, is taken to be an n by 1 list of initial guess values
// (see output)
// Outputs:
// Z n by 1 list of solution values
// Returns true on success, false on error
//
// Benchmark: For a harmonic solve on a mesh with 325K facets, matlab 2.2
// secs, igl/min_quad_with_fixed.h 7.1 secs
//)igl_Qu8mg5v7";
const char *__doc_igl_per_edge_normals = R"igl_Qu8mg5v7(// Compute face normals via vertex position list, face list
// Inputs:
// V #V by 3 eigen Matrix of mesh vertex 3D positions
// F #F by 3 eigen Matrix of face (triangle) indices
// weight weighting type
// FN #F by 3 matrix of 3D face normals per face
// Output:
// N #2 by 3 matrix of mesh edge 3D normals per row
// E #E by 2 matrix of edge indices per row
// EMAP #E by 1 matrix of indices from all edges to E
//)igl_Qu8mg5v7";
const char *__doc_igl_covariance_scatter_matrix = R"igl_Qu8mg5v7(// Construct the covariance scatter matrix for a given arap energy
// Inputs:
// V #V by Vdim list of initial domain positions
// F #F by 3 list of triangle indices into V
// energy ARAPEnergyType enum value defining which energy is being used.
// See ARAPEnergyType.h for valid options and explanations.
// Outputs:
// CSM dim*#V/#F by dim*#V sparse matrix containing special laplacians along
// the diagonal so that when multiplied by V gives covariance matrix
// elements, can be used to speed up covariance matrix computation)igl_Qu8mg5v7";
const char *__doc_igl_boundary_facets = R"igl_Qu8mg5v7(// BOUNDARY_FACETS Determine boundary faces (edges) of tetrahedra (triangles)
// stored in T (analogous to qptoolbox's `outline` and `boundary_faces`).
//
// Templates:
// IntegerT integer-value: e.g. int
// IntegerF integer-value: e.g. int
// Input:
// T tetrahedron (triangle) index list, m by 4 (3), where m is the number of tetrahedra
// Output:
// F list of boundary faces, n by 3 (2), where n is the number of boundary faces
//
//)igl_Qu8mg5v7";
const char *__doc_igl_compute_frame_field_bisectors = R"igl_Qu8mg5v7(// Compute bisectors of a frame field defined on mesh faces
// Inputs:
// V #V by 3 eigen Matrix of mesh vertex 3D positions
// F #F by 3 eigen Matrix of face (triangle) indices
// B1 #F by 3 eigen Matrix of face (triangle) base vector 1
// B2 #F by 3 eigen Matrix of face (triangle) base vector 2
// PD1 #F by 3 eigen Matrix of the first per face frame field vector
// PD2 #F by 3 eigen Matrix of the second per face frame field vector
// Output:
// BIS1 #F by 3 eigen Matrix of the first per face frame field bisector
// BIS2 #F by 3 eigen Matrix of the second per face frame field bisector
//)igl_Qu8mg5v7";
const char *__doc_igl_edge_lengths = R"igl_Qu8mg5v7(// Constructs a list of lengths of edges opposite each index in a face
// (triangle/tet) list
//
// Templates:
// DerivedV derived from vertex positions matrix type: i.e. MatrixXd
// DerivedF derived from face indices matrix type: i.e. MatrixXi
// DerivedL derived from edge lengths matrix type: i.e. MatrixXd
// Inputs:
// V eigen matrix #V by 3
// F #F by 2 list of mesh edges
// or
// F #F by 3 list of mesh faces (must be triangles)
// or
// T #T by 4 list of mesh elements (must be tets)
// Outputs:
// L #F by {1|3|6} list of edge lengths
// for edges, column of lengths
// for triangles, columns correspond to edges [1,2],[2,0],[0,1]
// for tets, columns correspond to edges
// [3 0],[3 1],[3 2],[1 2],[2 0],[0 1]
//)igl_Qu8mg5v7";
const char *__doc_igl_readOBJ = R"igl_Qu8mg5v7(// Read a mesh from an ascii obj file, filling in vertex positions, normals
// and texture coordinates. Mesh may have faces of any number of degree
//
// Templates:
// Scalar type for positions and vectors (will be read as double and cast
// to Scalar)
// Index type for indices (will be read as int and cast to Index)
// Inputs:
// str path to .obj file
// Outputs:
// V double matrix of vertex positions #V by 3
// TC double matrix of texture coordinats #TC by 2
// N double matrix of corner normals #N by 3
// F #F list of face indices into vertex positions
// FTC #F list of face indices into vertex texture coordinates
// FN #F list of face indices into vertex normals
// Returns true on success, false on errors)igl_Qu8mg5v7";
const char *__doc_igl_cut_mesh_from_singularities = R"igl_Qu8mg5v7(// Given a mesh (V,F) and the integer mismatch of a cross field per edge
// (MMatch), finds the cut_graph connecting the singularities (seams) and the
// degree of the singularities singularity_index
//
// Input:
// V #V by 3 list of mesh vertex positions
// F #F by 3 list of faces
// MMatch #F by 3 list of per corner integer mismatch
// Outputs:
// seams #F by 3 list of per corner booleans that denotes if an edge is a
// seam or not
//)igl_Qu8mg5v7";
const char *__doc_igl_readDMAT = R"igl_Qu8mg5v7(See readDMAT for the documentation.)igl_Qu8mg5v7";
const char *__doc_igl_doublearea = R"igl_Qu8mg5v7(// DOUBLEAREA computes twice the area for each input triangle[quad]
//
// Templates:
// DerivedV derived type of eigen matrix for V (e.g. derived from
// MatrixXd)
// DerivedF derived type of eigen matrix for F (e.g. derived from
// MatrixXi)
// DeriveddblA derived type of eigen matrix for dblA (e.g. derived from
// MatrixXd)
// Inputs:
// V #V by dim list of mesh vertex positions
// F #F by simplex_size list of mesh faces (must be triangles or quads)
// Outputs:
// dblA #F list of triangle[quad] double areas (SIGNED only for 2D input)
//
// Known bug: For dim==3 complexity is O(#V + #F)!! Not just O(#F). This is a big deal
// if you have 1million unreferenced vertices and 1 face)igl_Qu8mg5v7";
const char *__doc_igl_doublearea_single = R"igl_Qu8mg5v7(// Single triangle in 2D!
//
// This should handle streams of corners not just single corners)igl_Qu8mg5v7";
const char *__doc_igl_doublearea_quad = R"igl_Qu8mg5v7(// DOUBLEAREA_QUAD computes twice the area for each input quadrilateral
//
// Inputs:
// V #V by dim list of mesh vertex positions
// F #F by simplex_size list of mesh faces (must be quadrilaterals)
// Outputs:
// dblA #F list of quadrilateral double areas
//)igl_Qu8mg5v7";
const char *__doc_igl_min_quad_with_fixed_precompute = R"igl_Qu8mg5v7(// Known Bugs: rows of Aeq **should probably** be linearly independent.
// During precomputation, the rows of a Aeq are checked via QR. But in case
// they're not then resulting probably will no longer be sparse: it will be
// slow.
//
// MIN_QUAD_WITH_FIXED Minimize quadratic energy
//
// 0.5*Z'*A*Z + Z'*B + C with
//
// constraints that Z(known) = Y, optionally also subject to the constraints
// Aeq*Z = Beq
//
// Templates:
// T should be a eigen matrix primitive type like int or double
// Inputs:
// A n by n matrix of quadratic coefficients
// known list of indices to known rows in Z
// Y list of fixed values corresponding to known rows in Z
// Aeq m by n list of linear equality constraint coefficients
// pd flag specifying whether A(unknown,unknown) is positive definite
// Outputs:
// data factorization struct with all necessary information to solve
// using min_quad_with_fixed_solve
// Returns true on success, false on error
//
// Benchmark: For a harmonic solve on a mesh with 325K facets, matlab 2.2
// secs, igl/min_quad_with_fixed.h 7.1 secs
//)igl_Qu8mg5v7";
const char *__doc_igl_min_quad_with_fixed_solve = R"igl_Qu8mg5v7(// Solves a system previously factored using min_quad_with_fixed_precompute
//
// Template:
// T type of sparse matrix (e.g. double)
// DerivedY type of Y (e.g. derived from VectorXd or MatrixXd)
// DerivedZ type of Z (e.g. derived from VectorXd or MatrixXd)
// Inputs:
// data factorization struct with all necessary precomputation to solve
// B n by 1 column of linear coefficients
// Y b by 1 list of constant fixed values
// Beq m by 1 list of linear equality constraint constant values
// Outputs:
// Z n by cols solution
// sol #unknowns+#lagrange by cols solution to linear system
// Returns true on success, false on error)igl_Qu8mg5v7";
const char *__doc_igl_min_quad_with_fixed = R"igl_Qu8mg5v7(See min_quad_with_fixed for the documentation.)igl_Qu8mg5v7";
const char *__doc_igl_writeMESH = R"igl_Qu8mg5v7(// save a tetrahedral volume mesh to a .mesh file
//
// Templates:
// Scalar type for positions and vectors (will be cast as double)
// Index type for indices (will be cast to int)
// Input:
// mesh_file_name path of .mesh file
// V double matrix of vertex positions #V by 3
// T #T list of tet indices into vertex positions
// F #F list of face indices into vertex positions
//
// Known bugs: Holes and regions are not supported)igl_Qu8mg5v7";
const char *__doc_igl_unique = R"igl_Qu8mg5v7(// Act like matlab's [C,IA,IC] = unique(X)
//
// Templates:
// T comparable type T
// Inputs:
// A #A vector of type T
// Outputs:
// C #C vector of unique entries in A
// IA #C index vector so that C = A(IA);
// IC #A index vector so that A = C(IC);)igl_Qu8mg5v7";
const char *__doc_igl_unique_rows = R"igl_Qu8mg5v7(// Act like matlab's [C,IA,IC] = unique(X,'rows')
//
// Templates:
// DerivedA derived scalar type, e.g. MatrixXi or MatrixXd
// DerivedIA derived integer type, e.g. MatrixXi
// DerivedIC derived integer type, e.g. MatrixXi
// Inputs:
// A m by n matrix whose entries are to unique'd according to rows
// Outputs:
// C #C vector of unique rows in A
// IA #C index vector so that C = A(IA,:);
// IC #A index vector so that A = C(IC,:);)igl_Qu8mg5v7";
const char *__doc_igl_arap_precomputation = R"igl_Qu8mg5v7(// Compute necessary information to start using an ARAP deformation
//
// Inputs:
// V #V by dim list of mesh positions
// F #F by simplex-size list of triangle|tet indices into V
// dim dimension being used at solve time. For deformation usually dim =
// V.cols(), for surface parameterization V.cols() = 3 and dim = 2
// b #b list of "boundary" fixed vertex indices into V
// Outputs:
// data struct containing necessary precomputation)igl_Qu8mg5v7";
const char *__doc_igl_arap_solve = R"igl_Qu8mg5v7(// Inputs:
// bc #b by dim list of boundary conditions
// data struct containing necessary precomputation and parameters
// U #V by dim initial guess)igl_Qu8mg5v7";
const char *__doc_igl_cross_field_missmatch = R"igl_Qu8mg5v7(// Inputs:
// V #V by 3 eigen Matrix of mesh vertex 3D positions
// F #F by 3 eigen Matrix of face (quad) indices
// PD1 #F by 3 eigen Matrix of the first per face cross field vector
// PD2 #F by 3 eigen Matrix of the second per face cross field vector
// isCombed boolean, specifying whether the field is combed (i.e. matching has been precomputed.
// If not, the field is combed first.
// Output:
// Handle_MMatch #F by 3 eigen Matrix containing the integer missmatch of the cross field
// across all face edges
//)igl_Qu8mg5v7";
const char *__doc_igl_grad = R"igl_Qu8mg5v7(// Gradient of a scalar function defined on piecewise linear elements (mesh)
// is constant on each triangle i,j,k:
// grad(Xijk) = (Xj-Xi) * (Vi - Vk)^R90 / 2A + (Xk-Xi) * (Vj - Vi)^R90 / 2A
// where Xi is the scalar value at vertex i, Vi is the 3D position of vertex
// i, and A is the area of triangle (i,j,k). ^R90 represent a rotation of
// 90 degrees
//)igl_Qu8mg5v7";
const char *__doc_igl_slice_into = R"igl_Qu8mg5v7(// Act like the matlab Y(row_indices,col_indices) = X
//
// Inputs:
// X xm by xn rhs matrix
// R list of row indices
// C list of column indices
// Y ym by yn lhs matrix
// Output:
// Y ym by yn lhs matrix, same as input but Y(R,C) = X)igl_Qu8mg5v7";
const char *__doc_igl_slice_tets = R"igl_Qu8mg5v7(// SLICE_TETS Slice through a tet mesh (V,T) along a given plane (via its
// implicit equation).
//
// Inputs:
// V #V by 3 list of tet mesh vertices
// T #T by 4 list of tet indices into V
// plane list of 4 coefficients in the plane equation: [x y z 1]'*plane = 0
// Optional:
// 'Manifold' followed by whether to stitch together triangles into a
// manifold mesh {true}: results in more compact U but slightly slower.
// Outputs:
// U #U by 3 list of triangle mesh vertices along slice
// G #G by 3 list of triangles indices into U
// J #G list of indices into T revealing from which tet each faces comes
// BC #U by #V list of barycentric coordinates (or more generally: linear
// interpolation coordinates) so that U = BC*V
// )igl_Qu8mg5v7";
const char *__doc_igl_n_polyvector = R"igl_Qu8mg5v7(// Inputs:
// v0, v1 the two #3 by 1 vectors
// normalized boolean, if false, then the vectors are normalized prior to the calculation
// Output:
// 3 by 3 rotation matrix that takes v0 to v1
//)igl_Qu8mg5v7";
const char *__doc_igl_harmonic = R"igl_Qu8mg5v7(// Compute k-harmonic weight functions "coordinates".
//
//
// Inputs:
// V #V by dim vertex positions
// F #F by simplex-size list of element indices
// b #b boundary indices into V
// bc #b by #W list of boundary values
// k power of harmonic operation (1: harmonic, 2: biharmonic, etc)
// Outputs:
// W #V by #W list of weights
//)igl_Qu8mg5v7";
const char *__doc_igl_boundary_loop = R"igl_Qu8mg5v7(// Compute list of ordered boundary loops for a manifold mesh.
//
// Templates:
// Index index type
// Inputs:
// F #V by dim list of mesh faces
// Outputs:
// L list of loops where L[i] = ordered list of boundary vertices in loop i
//)igl_Qu8mg5v7";
const char *__doc_igl_polar_svd = R"igl_Qu8mg5v7(// Computes the polar decomposition (R,T) of a matrix A using SVD singular
// value decomposition
//
// Inputs:
// A 3 by 3 matrix to be decomposed
// Outputs:
// R 3 by 3 rotation matrix part of decomposition (**always rotataion**)
// T 3 by 3 stretch matrix part of decomposition
// U 3 by 3 left-singular vectors
// S 3 by 1 singular values
// V 3 by 3 right-singular vectors
//
//)igl_Qu8mg5v7";
const char *__doc_igl_comb_cross_field = R"igl_Qu8mg5v7(// Inputs:
// V #V by 3 eigen Matrix of mesh vertex 3D positions
// F #F by 4 eigen Matrix of face (quad) indices
// PD1in #F by 3 eigen Matrix of the first per face cross field vector
// PD2in #F by 3 eigen Matrix of the second per face cross field vector
// Output:
// PD1out #F by 3 eigen Matrix of the first combed cross field vector
// PD2out #F by 3 eigen Matrix of the second combed cross field vector
//)igl_Qu8mg5v7";
const char *__doc_igl_invert_diag = R"igl_Qu8mg5v7(// Templates:
// T should be a eigen sparse matrix primitive type like int or double
// Inputs:
// X an m by n sparse matrix
// Outputs:
// Y an m by n sparse matrix)igl_Qu8mg5v7";
const char *__doc_igl_readMESH = R"igl_Qu8mg5v7(// load a tetrahedral volume mesh from a .mesh file
//
// Templates:
// Scalar type for positions and vectors (will be read as double and cast
// to Scalar)
// Index type for indices (will be read as int and cast to Index)
// Input:
// mesh_file_name path of .mesh file
// Outputs:
// V double matrix of vertex positions #V by 3
// T #T list of tet indices into vertex positions
// F #F list of face indices into vertex positions
//
// Known bugs: Holes and regions are not supported)igl_Qu8mg5v7";
const char *__doc_igl_copyleft_comiso_miq = R"igl_Qu8mg5v7(// Inputs:
// V #V by 3 list of mesh vertex 3D positions
// F #F by 3 list of faces indices in V
// PD1 #V by 3 first line of the Jacobian per triangle
// PD2 #V by 3 second line of the Jacobian per triangle
// (optional, if empty it will be a vector in the tangent plane orthogonal to PD1)
// scale global scaling for the gradient (controls the quads resolution)
// stiffness weight for the stiffness iterations
// direct_round greedily round all integer variables at once (greatly improves optimization speed but lowers quality)
// iter stiffness iterations (0 = no stiffness)
// local_iter number of local iterations for the integer rounding
// do_round enables the integer rounding (disabling it could be useful for debugging)
// round_vertices id of additional vertices that should be snapped to integer coordinates
// hard_features #H by 2 list of pairs of vertices that belongs to edges that should be snapped to integer coordinates
//
// Output:
// UV #UV by 2 list of vertices in 2D
// FUV #FUV by 3 list of face indices in UV
//
// TODO: rename the parameters name in the cpp consistenly
// improve the handling of hard_features, right now it might fail in difficult cases)igl_Qu8mg5v7";
const char *__doc_igl_copyleft_comiso_nrosy = R"igl_Qu8mg5v7(// Generate a N-RoSy field from a sparse set of constraints
//
// Inputs:
// V #V by 3 list of mesh vertex coordinates
// F #F by 3 list of mesh faces (must be triangles)
// b #B by 1 list of constrained face indices
// bc #B by 3 list of representative vectors for the constrained
// faces
// b_soft #S by 1 b for soft constraints
// w_soft #S by 1 weight for the soft constraints (0-1)
// bc_soft #S by 3 bc for soft constraints
// N the degree of the N-RoSy vector field
// soft the strenght of the soft contraints w.r.t. smoothness
// (0 -> smoothness only, 1->constraints only)
// Outputs:
// R #F by 3 the representative vectors of the interpolated field
// S #V by 1 the singularity index for each vertex (0 = regular))igl_Qu8mg5v7";