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igl/python/py_doc.cpp
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Francis Williams d152b6072e Marching Tetrahedra (#716)
* Marching Tetrahedra

* dropping cxx11
2018-10-14 19:14:45 -04:00

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71 KiB
C++

// This file is part of libigl, a simple c++ geometry processing library.
//
// Copyright (C) 2017 Sebastian Koch <s.koch@tu-berlin.de> and Daniele Panozzo <daniele.panozzo@gmail.com>
//
// This Source Code Form is subject to the terms of the Mozilla Public License
// v. 2.0. If a copy of the MPL was not distributed with this file, You can
// obtain one at http://mozilla.org/MPL/2.0/.
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_adjacency_list = R"igl_Qu8mg5v7(// Constructs the graph adjacency list of a given mesh (V,F)
// Templates:
// T should be a eigen sparse matrix primitive type like int or double
// Inputs:
// F #F by dim list of mesh faces (must be triangles)
// sorted flag that indicates if the list should be sorted counter-clockwise
// Outputs:
// A vector<vector<T> > containing at row i the adjacent vertices of vertex i
//
// Example:
// // Mesh in (V,F)
// vector<vector<double> > A;
// adjacency_list(F,A);
//
// See also: edges, cotmatrix, diag)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_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_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_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_barycentric_to_global = R"igl_Qu8mg5v7(// Converts barycentric coordinates in the embree form to 3D coordinates
// Embree stores barycentric coordinates as triples: fid, bc1, bc2
// fid is the id of a face, bc1 is the displacement of the point wrt the
// first vertex v0 and the edge v1-v0. Similarly, bc2 is the displacement
// wrt v2-v0.
//
// Input:
// V: #Vx3 Vertices of the mesh
// F: #Fxe Faces of the mesh
// bc: #Xx3 Barycentric coordinates, one row per point
//
// Output:
// #X: #Xx3 3D coordinates of all points in bc)igl_Qu8mg5v7";
const char *__doc_igl_bbw = R"igl_Qu8mg5v7(// Compute Bounded Biharmonic Weights on a given domain (V,Ele) with a given
// set of boundary conditions
//
// Templates
// DerivedV derived type of eigen matrix for V (e.g. MatrixXd)
// DerivedF derived type of eigen matrix for F (e.g. MatrixXi)
// Derivedb derived type of eigen matrix for b (e.g. VectorXi)
// Derivedbc derived type of eigen matrix for bc (e.g. MatrixXd)
// DerivedW derived type of eigen matrix for W (e.g. MatrixXd)
// Inputs:
// V #V by dim vertex positions
// Ele #Elements by simplex-size list of element indices
// b #b boundary indices into V
// bc #b by #W list of boundary values
// data object containing options, initial guess --> solution and results
// Outputs:
// W #V by #W list of *unnormalized* weights to normalize use
// igl::normalize_row_sums(W,W);
// Returns true on success, false on failure)igl_Qu8mg5v7";
const char *__doc_igl_boundary_conditions = R"igl_Qu8mg5v7(// Compute boundary conditions for automatic weights computation. This
// function expects that the given mesh (V,Ele) has sufficient samples
// (vertices) exactly at point handle locations and exactly along bone and
// cage edges.
//
// Inputs:
// V #V by dim list of domain vertices
// Ele #Ele by simplex-size list of simplex indices
// C #C by dim list of handle positions
// P #P by 1 list of point handle indices into C
// BE #BE by 2 list of bone edge indices into C
// CE #CE by 2 list of cage edge indices into *P*
// Outputs:
// b #b list of boundary indices (indices into V of vertices which have
// known, fixed values)
// bc #b by #weights list of known/fixed values for boundary vertices
// (notice the #b != #weights in general because #b will include all the
// intermediary samples along each bone, etc.. The ordering of the
// weights corresponds to [P;BE]
// Returns false if boundary conditions are suspicious:
// P and BE are empty
// bc is empty
// some column of bc doesn't have a 0 (assuming bc has >1 columns)
// some column of bc doesn't have a 1 (assuming bc has >1 columns))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_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_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 output matrix (e.g. MatrixXd) needs to support
// resize
// Inputs:
// A first input matrix
// B second input matrix
// dim dimension along which to concatenate, 1 or 2
// Outputs:
// C output matrix
// )igl_Qu8mg5v7";
const char *__doc_igl_collapse_edge = R"igl_Qu8mg5v7(See collapse_edge for the documentation.)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_column_to_quats = R"igl_Qu8mg5v7(// "Columnize" a list of quaternions (q1x,q1y,q1z,q1w,q2x,q2y,q2z,q2w,...)
//
// Inputs:
// Q n*4-long list of coefficients
// Outputs:
// vQ n-long list of quaternions
// Returns false if n%4!=0)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_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_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_copyleft_cgal_mesh_boolean = R"igl_Qu8mg5v7(// MESH_BOOLEAN Compute boolean csg operations on "solid", consistently
// oriented meshes.
//
// Inputs:
// VA #VA by 3 list of vertex positions of first mesh
// FA #FA by 3 list of triangle indices into VA
// VB #VB by 3 list of vertex positions of second mesh
// FB #FB by 3 list of triangle indices into VB
// type type of boolean operation
// Outputs:
// VC #VC by 3 list of vertex positions of boolean result mesh
// FC #FC by 3 list of triangle indices into VC
// J #FC list of indices into [FA;FA.rows()+FB] revealing "birth" facet
// Returns true if inputs induce a piecewise constant winding number
// field and type is valid
//
// See also: mesh_boolean_cork, intersect_other,
// remesh_self_intersections)igl_Qu8mg5v7";
const char *__doc_igl_copyleft_cgal_remesh_self_intersections = R"igl_Qu8mg5v7(// Given a triangle mesh (V,F) compute a new mesh (VV,FF) which is the same
// as (V,F) except that any self-intersecting triangles in (V,F) have been
// subdivided (new vertices and face created) so that the self-intersection
// contour lies exactly on edges in (VV,FF). New vertices will appear in
// original faces or on original edges. New vertices on edges are "merged"
// only across original faces sharing that edge. This means that if the input
// triangle mesh is a closed manifold the output will be too.
//
// Inputs:
// V #V by 3 list of vertex positions
// F #F by 3 list of triangle indices into V
// params struct of optional parameters
// Outputs:
// VV #VV by 3 list of vertex positions
// FF #FF by 3 list of triangle indices into VV
// IF #intersecting face pairs by 2 list of intersecting face pairs,
// indexing F
// J #FF list of indices into F denoting birth triangle
// IM #VV list of indices into VV of unique vertices.
//
// Known bugs: If an existing edge in (V,F) lies exactly on another face then
// any resulting additional vertices along that edge may not get properly
// connected so that the output mesh has the same global topology. This is
// because
//
// Example:
// // resolve intersections
// igl::copyleft::cgal::remesh_self_intersections(V,F,params,VV,FF,IF,J,IM);
// // _apply_ duplicate vertex mapping IM to FF
// for_each(FF.data(),FF.data()+FF.size(),[&IM](int & a){a=IM(a);});
// // remove any vertices now unreferenced after duplicate mapping.
// igl::remove_unreferenced(VV,FF,SV,SF,UIM);
// // Now (SV,SF) is ready to extract outer hull
// igl::copyleft::cgal::outer_hull(SV,SF,G,J,flip);
//)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 consistently
// 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 strength of the soft constraints 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";
const char *__doc_igl_copyleft_marching_cubes = R"igl_Qu8mg5v7(// marching_cubes( values, points, x_res, y_res, z_res, vertices, faces )
//
// performs marching cubes reconstruction on the grid defined by values, and
// points, and generates vertices and faces
//
// Input:
// values #number_of_grid_points x 1 array -- the scalar values of an
// implicit function defined on the grid points (<0 in the inside of the
// surface, 0 on the border, >0 outside)
// points #number_of_grid_points x 3 array -- 3-D positions of the grid
// points, ordered in x,y,z order:
// points[index] = the point at (x,y,z) where :
// x = (index % (xres -1),
// y = (index / (xres-1)) %(yres-1),
// z = index / (xres -1) / (yres -1) ).
// where x,y,z index x, y, z dimensions
// i.e. index = x + y*xres + z*xres*yres
// xres resolutions of the grid in x dimension
// yres resolutions of the grid in y dimension
// zres resolutions of the grid in z dimension
// Output:
// vertices #V by 3 list of mesh vertex positions
// faces #F by 3 list of mesh triangle indices
//)igl_Qu8mg5v7";
const char *__doc_igl_copyleft_swept_volume = R"igl_Qu8mg5v7(// Compute the surface of the swept volume of a solid object with surface
// (V,F) mesh under going rigid motion.
//
// Inputs:
// V #V by 3 list of mesh positions in reference pose
// F #F by 3 list of mesh indices into V
// transform function handle so that transform(t) returns the rigid
// transformation at time t∈[0,1]
// steps number of time steps: steps=3 --> t∈{0,0.5,1}
// grid_res number of grid cells on the longest side containing the
// motion (isolevel+1 cells will also be added on each side as padding)
// isolevel distance level to be contoured as swept volume
// Outputs:
// SV #SV by 3 list of mesh positions of the swept surface
// SF #SF by 3 list of mesh faces into SV)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_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)
//)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_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_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_deform_skeleton = R"igl_Qu8mg5v7(// Deform a skeleton.
//
// Inputs:
// C #C by 3 list of joint positions
// BE #BE by 2 list of bone edge indices
// vA #BE list of bone transformations
// Outputs
// CT #BE*2 by 3 list of deformed joint positions
// BET #BE by 2 list of bone edge indices (maintains order)
//)igl_Qu8mg5v7";
const char *__doc_igl_directed_edge_orientations = R"igl_Qu8mg5v7(// Determine rotations that take each edge from the x-axis to its given rest
// orientation.
//
// Inputs:
// C #C by 3 list of edge vertex positions
// E #E by 2 list of directed edges
// Outputs:
// Q #E list of quaternions
//)igl_Qu8mg5v7";
const char *__doc_igl_directed_edge_parents = R"igl_Qu8mg5v7(// Recover "parents" (preceding edges) in a tree given just directed edges.
//
// Inputs:
// E #E by 2 list of directed edges
// Outputs:
// P #E list of parent indices into E (-1) means root
//)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_dqs = R"igl_Qu8mg5v7(// Dual quaternion skinning
//
// Inputs:
// V #V by 3 list of rest positions
// W #W by #C list of weights
// vQ #C list of rotation quaternions
// vT #C list of translation vectors
// Outputs:
// U #V by 3 list of new positions)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_edge_topology = R"igl_Qu8mg5v7(// Initialize Edges and their topological relations (assumes an edge-manifold
// mesh)
//
// Output:
// EV : #Ex2, Stores the edge description as pair of indices to vertices
// FE : #Fx3, Stores the Triangle-Edge relation
// EF : #Ex2: Stores the Edge-Triangle relation
//
// TODO: This seems to be a inferior duplicate of edge_flaps.h:
// - unused input parameter V
// - roughly 2x slower than edge_flaps
// - outputs less information: edge_flaps reveals corner opposite edge
// - FE uses non-standard and ambiguous order: FE(f,c) is merely an edge
// incident on corner c of face f. In contrast, edge_flaps's EMAP(f,c) reveals
// the edge _opposite_ corner c of face f)igl_Qu8mg5v7";
const char *__doc_igl_eigs = R"igl_Qu8mg5v7(See eigs for the documentation.)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_embree_line_mesh_intersection = R"igl_Qu8mg5v7(// Project the point cloud V_source onto the triangle mesh
// V_target,F_target.
// A ray is casted for every vertex in the direction specified by
// N_source and its opposite.
//
// Input:
// V_source: #Vx3 Vertices of the source mesh
// N_source: #Vx3 Normals of the point cloud
// V_target: #V2x3 Vertices of the target mesh
// F_target: #F2x3 Faces of the target mesh
//
// Output:
// #Vx3 matrix of baricentric coordinate. Each row corresponds to
// a vertex of the projected mesh and it has the following format:
// id b1 b2. id is the id of a face of the source mesh. b1 and b2 are
// the barycentric coordinates wrt the first two edges of the triangle
// To convert to standard global coordinates, see barycentric_to_global.h)igl_Qu8mg5v7";
const char *__doc_igl_embree_reorient_facets_raycast = R"igl_Qu8mg5v7(// Orient each component (identified by C) of a mesh (V,F) using ambient
// occlusion such that the front side is less occluded than back side, as
// described in "A Simple Method for Correcting Facet Orientations in
// Polygon Meshes Based on Ray Casting" [Takayama et al. 2014].
//
// Inputs:
// V #V by 3 list of vertex positions
// F #F by 3 list of triangle indices
// rays_total Total number of rays that will be shot
// rays_minimum Minimum number of rays that each patch should receive
// facet_wise Decision made for each face independently, no use of patches
// (i.e., each face is treated as a patch)
// use_parity Use parity mode
// is_verbose Verbose output to cout
// Outputs:
// I #F list of whether face has been flipped
// C #F list of patch ID (output of bfs_orient > manifold patches))igl_Qu8mg5v7";
const char *__doc_igl_exact_geodesic = R"igl_Qu8mg5v7(
// Exact geodesic algorithm for triangular mesh with the implementation from https://code.google.com/archive/p/geodesic/,
// and the algorithm first described by Mitchell, Mount and Papadimitriou in 1987
//
// Inputs:
// V #V by 3 list of 3D vertex positions
// F #F by 3 list of mesh faces
// VS #VS by 1 vector specifying indices of source vertices
// FS #FS by 1 vector specifying indices of source faces
// VT #VT by 1 vector specifying indices of target vertices
// FT #FT by 1 vector specifying indices of target faces
// Output:
// D #VT+#FT by 1 vector of geodesic distances of each target w.r.t. the nearest one in the source set
//
// Note:
// Specifying a face as target/source means its center.
//)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_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_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_forward_kinematics = R"igl_Qu8mg5v7(// Given a skeleton and a set of relative bone rotations compute absolute
// rigid transformations for each bone.
//
// Inputs:
// C #C by dim list of joint positions
// BE #BE by 2 list of bone edge indices
// P #BE list of parent indices into BE
// dQ #BE list of relative rotations
// dT #BE list of relative translations
// Outputs:
// vQ #BE list of absolute rotations
// vT #BE list of absolute translations)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_get_seconds = R"igl_Qu8mg5v7(// Return the current time in seconds since program start
//
// Example:
// const auto & tictoc = []()
// {
// static double t_start = igl::get_seconds();
// double diff = igl::get_seconds()-t_start;
// t_start += diff;
// return diff;
// };
// tictoc();
// ... // part 1
// cout<<"part 1: "<<tictoc()<<endl;
// ... // part 2
// cout<<"part 2: "<<tictoc()<<endl;
// ... // etc)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 [tetrahedron] 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_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_hsv_to_rgb = R"igl_Qu8mg5v7(// Convert RGB to HSV
//
// Inputs:
// h hue value (degrees: [0,360])
// s saturation value ([0,1])
// v value value ([0,1])
// Outputs:
// r red value ([0,1])
// g green value ([0,1])
// b blue value ([0,1]))igl_Qu8mg5v7";
const char *__doc_igl_internal_angles = R"igl_Qu8mg5v7(// Compute internal angles for a triangle mesh
//
// Inputs:
// V #V by dim eigen Matrix of mesh vertex nD positions
// F #F by poly-size eigen Matrix of face (triangle) indices
// Output:
// K #F by poly-size eigen Matrix of internal angles
// for triangles, columns correspond to edges [1,2],[2,0],[0,1]
//
// Known Issues:
// if poly-size ≠ 3 then dim must equal 3.)igl_Qu8mg5v7";
const char *__doc_igl_internal_angles_using_squared_edge_lengths = R"igl_Qu8mg5v7(// Inputs:
// L_sq #F by 3 list of squared edge lengths
// Output:
// K #F by poly-size eigen Matrix of internal angles
// for triangles, columns correspond to edges [1,2],[2,0],[0,1]
//
// Note:
// Usage of internal_angles_using_squared_edge_lengths is preferred to internal_angles_using_squared_edge_lengths)igl_Qu8mg5v7";
const char *__doc_igl_internal_angles_using_edge_lengths = R"igl_Qu8mg5v7(// Inputs:
// L #F by 3 list of edge lengths
// Output:
// K #F by poly-size eigen Matrix of internal angles
// for triangles, columns correspond to edges [1,2],[2,0],[0,1]
//
// Note:
// Usage of internal_angles_using_squared_edge_lengths is preferred to internal_angles_using_squared_edge_lengths
// This function is deprecated and probably will be removed in future versions)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_is_irregular_vertex = R"igl_Qu8mg5v7(// Determine if a vertex is irregular, i.e. it has more than 6 (triangles)
// or 4 (quads) incident edges. Vertices on the boundary are ignored.
//
// Inputs:
// V #V by dim list of vertex positions
// F #F by 3[4] list of triangle[quads] indices
// Returns #V vector of bools revealing whether vertices are singular
//)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_lbs_matrix = R"igl_Qu8mg5v7(// LBS_MATRIX Linear blend skinning can be expressed by V' = M * T where V' is
// a #V by dim matrix of deformed vertex positions (one vertex per row), M is a
// #V by (dim+1)*#T (composed of weights and rest positions) and T is a
// #T*(dim+1) by dim matrix of #T stacked transposed transformation matrices.
// See equations (1) and (2) in "Fast Automatic Skinning Transformations"
// [Jacobson et al 2012]
//
// Inputs:
// V #V by dim list of rest positions
// W #V+ by #T list of weights
// Outputs:
// M #V by #T*(dim+1)
//
// In MATLAB:
// kron(ones(1,size(W,2)),[V ones(size(V,1),1)]).*kron(W,ones(1,size(V,2)+1)))igl_Qu8mg5v7";
const char *__doc_igl_lbs_matrix_column = R"igl_Qu8mg5v7(// LBS_MATRIX construct a matrix that when multiplied against a column of
// affine transformation entries computes new coordinates of the vertices
//
// I'm not sure it makes since that the result is stored as a sparse matrix.
// The number of non-zeros per row *is* dependent on the number of mesh
// vertices and handles.
//
// Inputs:
// V #V by dim list of vertex rest positions
// W #V by #handles list of correspondence weights
// Output:
// M #V * dim by #handles * dim * (dim+1) matrix such that
// new_V(:) = LBS(V,W,A) = reshape(M * A,size(V)), where A is a column
// vectors formed by the entries in each handle's dim by dim+1
// transformation matrix. Specifcally, A =
// reshape(permute(Astack,[3 1 2]),n*dim*(dim+1),1)
// or A = [Lxx;Lyx;Lxy;Lyy;tx;ty], and likewise for other dim
// if Astack(:,:,i) is the dim by (dim+1) transformation at handle i)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_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_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_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_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 a quadratic energy of the form
//
// trace( 0.5*Z'*A*Z + Z'*B + constant )
//
// subject to
//
// Z(known,:) = Y, and
// 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 k column of linear coefficients
// Y b by k list of constant fixed values
// Beq m by k list of linear equality constraint constant values
// Outputs:
// Z n by k solution
// sol #unknowns+#lagrange by k 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_normalize_row_lengths = R"igl_Qu8mg5v7(// Obsolete: just use A.rowwise().normalize() or B=A.rowwise().normalized();
//
// Normalize the rows in A so that their lengths are each 1 and place the new
// entries in B
// Inputs:
// A #rows by k input matrix
// Outputs:
// B #rows by k input matrix, can be the same as A)igl_Qu8mg5v7";
const char *__doc_igl_normalize_row_sums = R"igl_Qu8mg5v7(// Normalize the rows in A so that their sums are each 1 and place the new
// entries in B
// Inputs:
// A #rows by k input matrix
// Outputs:
// B #rows by k input matrix, can be the same as A
//
// Note: This is just calling an Eigen one-liner.)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_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_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_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_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_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_png_readPNG = R"igl_Qu8mg5v7(// Read an image from a .png file into 4 memory buffers
//
// Input:
// png_file path to .png file
// Output:
// R,G,B,A texture channels
// Returns true on success, false on failure
//)igl_Qu8mg5v7";
const char *__doc_igl_png_writePNG = R"igl_Qu8mg5v7(// Writes an image to a png file
//
// Input:
// R,G,B,A texture channels
// Output:
// png_file path to .png file
// Returns true on success, false on failure
//)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_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_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 length
//
// 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_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_randperm = R"igl_Qu8mg5v7(// Like matlab's randperm(n) but minus 1
//
// Inputs:
// n number of elements
// Outputs:
// I n list of rand permutation of 0:n-1)igl_Qu8mg5v7";
const char *__doc_igl_readDMAT = R"igl_Qu8mg5v7(See readDMAT for the documentation.)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_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_readOFF = R"igl_Qu8mg5v7(// Read a mesh from an ascii OFF 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
// N list of vertex normals #V by 3
// C list of rgb color values per vertex #V by 3
// Returns true on success, false on errors)igl_Qu8mg5v7";
const char *__doc_igl_readTGF = R"igl_Qu8mg5v7(// READTGF
//
// [V,E,P,BE,CE,PE] = readTGF(filename)
//
// Read a graph from a .tgf file
//
// Input:
// filename .tgf file name
// Output:
// V # vertices by 3 list of vertex positions
// E # edges by 2 list of edge indices
// P # point-handles list of point handle indices
// BE # bone-edges by 2 list of bone-edge indices
// CE # cage-edges by 2 list of cage-edge indices
// PE # pseudo-edges by 2 list of pseudo-edge indices
//
// Assumes that graph vertices are 3 dimensional)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_remove_duplicate_vertices = R"igl_Qu8mg5v7(// REMOVE_DUPLICATE_VERTICES Remove duplicate vertices upto a uniqueness
// tolerance (epsilon)
//
// Inputs:
// V #V by dim list of vertex positions
// epsilon uniqueness tolerance (significant digit), can probably think of
// this as a tolerance on L1 distance
// Outputs:
// SV #SV by dim new list of vertex positions
// SVI #V by 1 list of indices so SV = V(SVI,:)
// SVJ #SV by 1 list of indices so V = SV(SVJ,:)
//
// Example:
// % Mesh in (V,F)
// [SV,SVI,SVJ] = remove_duplicate_vertices(V,1e-7);
// % remap faces
// SF = SVJ(F);
//)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_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_shape_diameter_function = R"igl_Qu8mg5v7(// Compute shape diamater function per given point. In the parlence of the
// paper "Consistent Mesh Partitioning and Skeletonisation using the Shape
// Diameter Function" [Shapiro et al. 2008], this implementation uses a 180°
// cone and a _uniform_ average (_not_ a average weighted by inverse angles).
//
// Inputs:
// shoot_ray function handle that outputs hits of a given ray against a
// mesh (embedded in function handles as captured variable/data)
// P #P by 3 list of origin points
// N #P by 3 list of origin normals
// Outputs:
// S #P list of shape diamater function values between bounding box
// diagonal (perfect sphere) and 0 (perfect needle hook)
//)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_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_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_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_marching_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_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_streamlines_init = R"igl_Qu8mg5v7(// Given a mesh and a field the function computes the /data/ necessary for tracing the field'
// streamlines, and creates the initial /state/ for the tracing.
// Inputs:
// V #V by 3 list of mesh vertex coordinates
// F #F by 3 list of mesh faces
// temp_field #F by 3n list of the 3D coordinates of the per-face vectors
// (n-degrees stacked horizontally for each triangle)
// treat_as_symmetric
// if true, adds n symmetry directions to the field (N = 2n). Else N = n
// percentage [0-1] percentage of faces sampled
// Outputs:
// data struct containing topology information of the mesh and field
// state struct containing the state of the tracing)igl_Qu8mg5v7";
const char *__doc_igl_streamlines_next = R"igl_Qu8mg5v7(// The function computes the next state for each point in the sample
// V #V by 3 list of mesh vertex coordinates
// F #F by 3 list of mesh faces
// data struct containing topology information
// state struct containing the state of the tracing)igl_Qu8mg5v7";
const char *__doc_igl_triangle_triangle_adjacency = R"igl_Qu8mg5v7(// Constructs the triangle-triangle adjacency matrix for a given
// mesh (V,F).
//
// Templates:
// Scalar derived type of eigen matrix for V (e.g. derived from
// MatrixXd)
// Index derived type of eigen matrix for F (e.g. derived from
// MatrixXi)
// Inputs:
// F #F by simplex_size list of mesh faces (must be triangles)
// Outputs:
// TT #F by #3 adjacent matrix, the element i,j is the id of the triangle adjacent to the j edge of triangle i
// TTi #F by #3 adjacent matrix, the element i,j is the id of edge of the triangle TT(i,j) that is adjacent with triangle i
// NOTE: the first edge of a triangle is [0,1] the second [1,2] and the third [2,3].
// this convention is DIFFERENT from cotmatrix_entries.h
// Known bug: this should not need to take V as input.)igl_Qu8mg5v7";
const char *__doc_igl_triangle_triangle_adjacency_preprocess = R"igl_Qu8mg5v7(// Preprocessing)igl_Qu8mg5v7";
const char *__doc_igl_triangle_triangle_adjacency_extractTT = R"igl_Qu8mg5v7(// Extract the face adjacencies)igl_Qu8mg5v7";
const char *__doc_igl_triangle_triangle_adjacency_extractTTi = R"igl_Qu8mg5v7(// Extract the face adjacencies indices (needed for fast traversal))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
//)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_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_upsample = R"igl_Qu8mg5v7(// Subdivide without moving vertices: Given the triangle mesh [V, F],
// where n_verts = V.rows(), computes newV and a sparse matrix S s.t.
// [newV, newF] is the subdivided mesh where newV = S*V.
//
// Inputs:
// n_verts an integer (number of mesh vertices)
// F an m by 3 matrix of integers of triangle faces
// Outputs:
// S a sparse matrix (will become the subdivision matrix)
// newF a matrix containing the new faces)igl_Qu8mg5v7";
const char *__doc_igl_winding_number = R"igl_Qu8mg5v7(// WINDING_NUMBER Compute the sum of solid angles of a triangle/tetrahedron
// described by points (vectors) V
//
// Templates:
// dim dimension of input
// Inputs:
// V n by 3 list of vertex positions
// F #F by 3 list of triangle indices, minimum index is 0
// O no by 3 list of origin positions
// Outputs:
// S no by 1 list of winding numbers
//
// 3d)igl_Qu8mg5v7";
const char *__doc_igl_winding_number_3 = R"igl_Qu8mg5v7(// Inputs:
// V pointer to array containing #V by 3 vertex positions along rows,
// given in column major order
// n number of mesh vertices
// F pointer to array containing #F by 3 face indices along rows,
// given in column major order
// m number of faces
// O pointer to array containing #O by 3 query positions along rows,
// given in column major order
// no number of origins
// Outputs:
// S no by 1 list of winding numbers)igl_Qu8mg5v7";
const char *__doc_igl_winding_number_2 = R"igl_Qu8mg5v7(//// Only one evaluation origin
//template <typename DerivedF>
//IGL_INLINE void winding_number_3(
// const double * V,
// const int n,
// const DerivedF * F,
// const int m,
// const double * O,
// double * S);
// 2d)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_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
//
// Known issues: Horrifyingly, this does not have the same order of
// parameters as readOBJ.)igl_Qu8mg5v7";
const char *__doc_igl_writePLY = R"igl_Qu8mg5v7(// Write a mesh in an ascii ply file
// Inputs:
// str path to outputfile
// V #V by 3 mesh vertex positions
// F #F by 3 mesh indices into V
// N #V by 3 normal vectors
// UV #V by 2 texture coordinates
// Returns true on success, false on error)igl_Qu8mg5v7";
const char *__doc_igl_readPLY= R"igl_Qu8mg5v7(// Read a mesh from an ascii ply file, filling in vertex positions,
// mesh indices, normals and texture coordinates
// 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
// N double matrix of corner normals #N by 3
// UV #V by 2 texture coordinates
// Returns true on success, false on errors)igl_Qu8mg5v7";
const char *__doc_igl_seam_edges=R"igl_Qu8mg5v7(// Finds all UV-space boundaries of a mesh.
//
// Inputs:
// V #V by dim list of positions of the input mesh.
// TC #TC by 2 list of 2D texture coordinates of the input mesh
// F #F by 3 list of triange indices into V representing a
// manifold-with-boundary triangle mesh
// FTC #F by 3 list of indices into TC for each corner
// Outputs:
// seams Edges where the forwards and backwards directions have different
// texture coordinates, as a #seams-by-4 matrix of indices. Each row is
// organized as [ forward_face_index, forward_face_vertex_index,
// backwards_face_index, backwards_face_vertex_index ] such that one side
// of the seam is the edge:
// F[ seams( i, 0 ), seams( i, 1 ) ], F[ seams( i, 0 ), (seams( i, 1 ) + 1) % 3 ]
// and the other side is the edge:
// F[ seams( i, 2 ), seams( i, 3 ) ], F[ seams( i, 2 ), (seams( i, 3 ) + 1) % 3 ]
// boundaries Edges with only one incident triangle, as a #boundaries-by-2
// matrix of indices. Each row is organized as
// [ face_index, face_vertex_index ]
// such that the edge is:
// F[ boundaries( i, 0 ), boundaries( i, 1 ) ], F[ boundaries( i, 0 ), (boundaries( i, 1 ) + 1) % 3 ]
// foldovers Edges where the two incident triangles fold over each other
// in UV-space, as a #foldovers-by-4 matrix of indices.
// Each row is organized as [ forward_face_index, forward_face_vertex_index,
// backwards_face_index, backwards_face_vertex_index ]
// such that one side of the foldover is the edge:
// F[ foldovers( i, 0 ), foldovers( i, 1 ) ], F[ foldovers( i, 0 ), (foldovers( i, 1 ) + 1) % 3 ]
// and the other side is the edge:
// F[ foldovers( i, 2 ), foldovers( i, 3 ) ], F[ foldovers( i, 2 ), (foldovers( i, 3 ) + 1) % 3 ])igl_Qu8mg5v7";