// This file is part of libigl, a simple c++ geometry processing library. // // Copyright (C) 2016 Michael Rabinovich <michaelrabinovich27@gmail.com@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 "euler_characteristic.h" #include "edge_topology.h" #include "edges.h" template <typename Scalar, typename Index> IGL_INLINE int igl::euler_characteristic( const Eigen::PlainObjectBase<Scalar> & V, const Eigen::PlainObjectBase<Index> & F) { int euler_v = V.rows(); Eigen::MatrixXi EV, FE, EF; igl::edge_topology(V, F, EV, FE, EF); int euler_e = EV.rows(); int euler_f = F.rows(); int euler_char = euler_v - euler_e + euler_f; return euler_char; } template <typename DerivedF> IGL_INLINE int igl::euler_characteristic( const Eigen::MatrixBase<DerivedF> & F) { const int nf = F.rows(); const int nv = F.maxCoeff()+1; Eigen::Matrix<typename DerivedF::Scalar,Eigen::Dynamic,2> E; edges(F,E); const int ne = E.rows(); return nv - ne + nf; } #ifdef IGL_STATIC_LIBRARY // Explicit template instantiation template int igl::euler_characteristic<Eigen::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<int, -1, -1, 0, -1, -1> >(Eigen::PlainObjectBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&); template int igl::euler_characteristic<Eigen::Matrix<int, -1, -1, 0, -1, -1> >(Eigen::MatrixBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&); #endif