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65 lines
2.2 KiB
C++
65 lines
2.2 KiB
C++
// This file is part of libigl, a simple c++ geometry processing library.
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//
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// Copyright (C) 2014 Alec Jacobson <alecjacobson@gmail.com>
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//
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// This Source Code Form is subject to the terms of the Mozilla Public License
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// v. 2.0. If a copy of the MPL was not distributed with this file, You can
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// obtain one at http://mozilla.org/MPL/2.0/.
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#include "face_areas.h"
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#include "edge_lengths.h"
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#include "doublearea.h"
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template <typename DerivedV, typename DerivedT, typename DerivedA>
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IGL_INLINE void igl::face_areas(
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const Eigen::MatrixBase<DerivedV>& V,
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const Eigen::MatrixBase<DerivedT>& T,
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Eigen::PlainObjectBase<DerivedA>& A)
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{
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assert(T.cols() == 4);
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DerivedA L;
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edge_lengths(V,T,L);
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return face_areas(L,A);
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}
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template <typename DerivedL, typename DerivedA>
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IGL_INLINE void igl::face_areas(
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const Eigen::MatrixBase<DerivedL>& L,
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Eigen::PlainObjectBase<DerivedA>& A)
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{
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return face_areas(
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L,std::numeric_limits<typename DerivedL::Scalar>::quiet_NaN(),A);
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}
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template <typename DerivedL, typename DerivedA>
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IGL_INLINE void igl::face_areas(
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const Eigen::MatrixBase<DerivedL>& L,
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const typename DerivedL::Scalar doublearea_nan_replacement,
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Eigen::PlainObjectBase<DerivedA>& A)
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{
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using namespace Eigen;
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assert(L.cols() == 6);
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const int m = L.rows();
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// (unsigned) face Areas (opposite vertices: 1 2 3 4)
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Matrix<typename DerivedA::Scalar,Dynamic,1>
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A0(m,1), A1(m,1), A2(m,1), A3(m,1);
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Matrix<typename DerivedA::Scalar,Dynamic,3>
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L0(m,3), L1(m,3), L2(m,3), L3(m,3);
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L0<<L.col(1),L.col(2),L.col(3);
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L1<<L.col(0),L.col(2),L.col(4);
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L2<<L.col(0),L.col(1),L.col(5);
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L3<<L.col(3),L.col(4),L.col(5);
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doublearea(L0,doublearea_nan_replacement,A0);
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doublearea(L1,doublearea_nan_replacement,A1);
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doublearea(L2,doublearea_nan_replacement,A2);
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doublearea(L3,doublearea_nan_replacement,A3);
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A.resize(m,4);
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A.col(0) = 0.5*A0;
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A.col(1) = 0.5*A1;
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A.col(2) = 0.5*A2;
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A.col(3) = 0.5*A3;
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}
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#ifdef IGL_STATIC_LIBRARY
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// Explicit template instantiation
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// generated by autoexplicit.sh
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template void igl::face_areas<Eigen::Matrix<double, -1, 6, 0, -1, 6>, Eigen::Matrix<double, -1, 4, 0, -1, 4> >(Eigen::MatrixBase<Eigen::Matrix<double, -1, 6, 0, -1, 6> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 4, 0, -1, 4> >&);
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#endif
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