3D-printing/OrcaSlicer
1
0
Fork 0
mirror of https://github.com/SoftFever/OrcaSlicer.git synced 2025-10-25 17:51:10 -06:00
Code Issues Projects Releases Packages Wiki Activity Actions 6

Merged branch 'dev_native' into lm_sla_supports_auto

Browse source 
Added igl library files
This commit is contained in:
Lukas Matena 2018-10-26 15:45:52 +02:00
commit 7681d00ee5
2865 changed files with 142806 additions and 22325 deletions
Download patch file Download diff file Expand all files Collapse all files

110
src/igl/cotmatrix_entries.cpp Normal file
View file

@ -0,0 +1,110 @@
// This file is part of libigl, a simple c++ geometry processing library.
//
// Copyright (C) 2013 Alec Jacobson <alecjacobson@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/.
#include "cotmatrix_entries.h"
#include "doublearea.h"
#include "squared_edge_lengths.h"
#include "edge_lengths.h"
#include "face_areas.h"
#include "volume.h"
#include "dihedral_angles.h"
#include "verbose.h"
template <typename DerivedV, typename DerivedF, typename DerivedC>
IGL_INLINE void igl::cotmatrix_entries(
const Eigen::MatrixBase<DerivedV>& V,
const Eigen::MatrixBase<DerivedF>& F,
Eigen::PlainObjectBase<DerivedC>& C)
{
using namespace std;
using namespace Eigen;
// simplex size (3: triangles, 4: tetrahedra)
int simplex_size = F.cols();
// Number of elements
int m = F.rows();
// Law of cosines + law of sines
switch(simplex_size)
{
case 3:
{
// Triangles
//Compute Squared Edge lengths
Matrix<typename DerivedC::Scalar,Dynamic,3> l2;
igl::squared_edge_lengths(V,F,l2);
//Compute Edge lengths
Matrix<typename DerivedC::Scalar,Dynamic,3> l;
l = l2.array().sqrt();
// double area
Matrix<typename DerivedC::Scalar,Dynamic,1> dblA;
doublearea(l,0.,dblA);
// cotangents and diagonal entries for element matrices
// correctly divided by 4 (alec 2010)
C.resize(m,3);
for(int i = 0;i<m;i++)
{
C(i,0) = (l2(i,1) + l2(i,2) - l2(i,0))/dblA(i)/4.0;
C(i,1) = (l2(i,2) + l2(i,0) - l2(i,1))/dblA(i)/4.0;
C(i,2) = (l2(i,0) + l2(i,1) - l2(i,2))/dblA(i)/4.0;
}
break;
}
case 4:
{
// edge lengths numbered same as opposite vertices
Matrix<typename DerivedC::Scalar,Dynamic,6> l;
edge_lengths(V,F,l);
Matrix<typename DerivedC::Scalar,Dynamic,4> s;
face_areas(l,s);
Matrix<typename DerivedC::Scalar,Dynamic,6> cos_theta,theta;
dihedral_angles_intrinsic(l,s,theta,cos_theta);
// volume
Matrix<typename DerivedC::Scalar,Dynamic,1> vol;
volume(l,vol);
// Law of sines
// http://mathworld.wolfram.com/Tetrahedron.html
Matrix<typename DerivedC::Scalar,Dynamic,6> sin_theta(m,6);
sin_theta.col(0) = vol.array() / ((2./(3.*l.col(0).array())).array() * s.col(1).array() * s.col(2).array());
sin_theta.col(1) = vol.array() / ((2./(3.*l.col(1).array())).array() * s.col(2).array() * s.col(0).array());
sin_theta.col(2) = vol.array() / ((2./(3.*l.col(2).array())).array() * s.col(0).array() * s.col(1).array());
sin_theta.col(3) = vol.array() / ((2./(3.*l.col(3).array())).array() * s.col(3).array() * s.col(0).array());
sin_theta.col(4) = vol.array() / ((2./(3.*l.col(4).array())).array() * s.col(3).array() * s.col(1).array());
sin_theta.col(5) = vol.array() / ((2./(3.*l.col(5).array())).array() * s.col(3).array() * s.col(2).array());
// http://arxiv.org/pdf/1208.0354.pdf Page 18
C = (1./6.) * l.array() * cos_theta.array() / sin_theta.array();
break;
}
default:
{
fprintf(stderr,
"cotmatrix_entries.h: Error: Simplex size (%d) not supported\n", simplex_size);
assert(false);
}
}
}
#ifdef IGL_STATIC_LIBRARY
// Explicit template instantiation
// generated by autoexplicit.sh
template void igl::cotmatrix_entries<Eigen::Matrix<double, -1, -1, 1, -1, -1>, Eigen::Matrix<int, -1, -1, 0, -1, -1>, Eigen::Matrix<double, -1, -1, 0, -1, -1> >(Eigen::MatrixBase<Eigen::Matrix<double, -1, -1, 1, -1, -1> > const&, Eigen::MatrixBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> >&);
// generated by autoexplicit.sh
template void igl::cotmatrix_entries<Eigen::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<int, -1, -1, 0, -1, -1>, Eigen::Matrix<double, -1, -1, 0, -1, -1> >(Eigen::MatrixBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::MatrixBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> >&);
// generated by autoexplicit.sh
template void igl::cotmatrix_entries<Eigen::Matrix<double, -1, 3, 0, -1, 3>, Eigen::Matrix<int, -1, 4, 0, -1, 4>, Eigen::Matrix<double, -1, -1, 0, -1, -1> >(Eigen::MatrixBase<Eigen::Matrix<double, -1, 3, 0, -1, 3> > const&, Eigen::MatrixBase<Eigen::Matrix<int, -1, 4, 0, -1, 4> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> >&);
// generated by autoexplicit.sh
template void igl::cotmatrix_entries<Eigen::Matrix<double, -1, 3, 0, -1, 3>, Eigen::Matrix<int, -1, 3, 0, -1, 3>, Eigen::Matrix<double, -1, -1, 0, -1, -1> >(Eigen::MatrixBase<Eigen::Matrix<double, -1, 3, 0, -1, 3> > const&, Eigen::MatrixBase<Eigen::Matrix<int, -1, 3, 0, -1, 3> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> >&);
#endif