dust3d/third_party/libigl/include/igl/vector_area_matrix.cpp

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// This file is part of libigl, a simple c++ geometry processing library.
//
// Copyright (C) 2014 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/.
#include "vector_area_matrix.h"
#include "boundary_facets.h"
#include <vector>
// Bug in unsupported/Eigen/SparseExtra needs iostream first
#include <iostream>
#include <unsupported/Eigen/SparseExtra>
template <typename DerivedF, typename Scalar>
IGL_INLINE void igl::vector_area_matrix(
const Eigen::PlainObjectBase<DerivedF> & F,
Eigen::SparseMatrix<Scalar>& A)
{
using namespace Eigen;
using namespace std;
// number of vertices
const int n = F.maxCoeff()+1;
MatrixXi E;
boundary_facets(F,E);
//Prepare a vector of triplets to set the matrix
vector<Triplet<Scalar> > tripletList;
tripletList.reserve(4*E.rows());
for(int k = 0; k < E.rows(); k++)
{
int i = E(k,0);
int j = E(k,1);
tripletList.push_back(Triplet<Scalar>(i+n, j, -0.25));
tripletList.push_back(Triplet<Scalar>(j, i+n, -0.25));
tripletList.push_back(Triplet<Scalar>(i, j+n, 0.25));
tripletList.push_back(Triplet<Scalar>(j+n, i, 0.25));
}
//Set A from triplets (Eigen will sum triplets with same coordinates)
A.resize(n * 2, n * 2);
A.setFromTriplets(tripletList.begin(), tripletList.end());
}
#ifdef IGL_STATIC_LIBRARY
// Explicit template instantiation
template void igl::vector_area_matrix<Eigen::Matrix<int, -1, -1, 0, -1, -1>, double>(Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::SparseMatrix<double, 0, int>&);
#endif