56 lines
1.9 KiB
C++
56 lines
1.9 KiB
C++
// This file is part of libigl, a simple c++ geometry processing library.
|
|
//
|
|
// Copyright (C) 2014 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 "face_areas.h"
|
|
#include "edge_lengths.h"
|
|
#include "doublearea.h"
|
|
|
|
template <typename DerivedV, typename DerivedT, typename DerivedA>
|
|
IGL_INLINE void igl::face_areas(
|
|
const Eigen::PlainObjectBase<DerivedV>& V,
|
|
const Eigen::PlainObjectBase<DerivedT>& T,
|
|
Eigen::PlainObjectBase<DerivedA>& A)
|
|
{
|
|
assert(T.cols() == 4);
|
|
typename Eigen::PlainObjectBase<DerivedA> L;
|
|
edge_lengths(V,T,L);
|
|
return face_areas(L,A);
|
|
}
|
|
|
|
template <typename DerivedL, typename DerivedA>
|
|
IGL_INLINE void igl::face_areas(
|
|
const Eigen::PlainObjectBase<DerivedL>& L,
|
|
Eigen::PlainObjectBase<DerivedA>& A)
|
|
{
|
|
using namespace Eigen;
|
|
assert(L.cols() == 6);
|
|
const int m = L.rows();
|
|
// (unsigned) face Areas (opposite vertices: 1 2 3 4)
|
|
Matrix<typename DerivedA::Scalar,Dynamic,1>
|
|
A0(m,1), A1(m,1), A2(m,1), A3(m,1);
|
|
Matrix<typename DerivedA::Scalar,Dynamic,3>
|
|
L0(m,3), L1(m,3), L2(m,3), L3(m,3);
|
|
L0<<L.col(1),L.col(2),L.col(3);
|
|
L1<<L.col(0),L.col(2),L.col(4);
|
|
L2<<L.col(0),L.col(1),L.col(5);
|
|
L3<<L.col(3),L.col(4),L.col(5);
|
|
doublearea(L0,A0);
|
|
doublearea(L1,A1);
|
|
doublearea(L2,A2);
|
|
doublearea(L3,A3);
|
|
A.resize(m,4);
|
|
A.col(0) = 0.5*A0;
|
|
A.col(1) = 0.5*A1;
|
|
A.col(2) = 0.5*A2;
|
|
A.col(3) = 0.5*A3;
|
|
}
|
|
#ifdef IGL_STATIC_LIBRARY
|
|
// Explicit template specialization
|
|
// generated by autoexplicit.sh
|
|
template void igl::face_areas<Eigen::Matrix<double, -1, 6, 0, -1, 6>, Eigen::Matrix<double, -1, 4, 0, -1, 4> >(Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 6, 0, -1, 6> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 4, 0, -1, 4> >&);
|
|
#endif
|