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2ae2672ee9
Fixing dep build script on Windows and removing some warnings. Use bundled igl by default. Not building with the dependency scripts if not explicitly stated. This way, it will stay in Fix the libigl patch to include C source files in header only mode.
119 lines
3.4 KiB
C++
119 lines
3.4 KiB
C++
// This file is part of libigl, a simple c++ geometry processing library.
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//
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// Copyright (C) 2015 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 "LinSpaced.h"
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#include "normal_derivative.h"
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#include "cotmatrix_entries.h"
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#include "slice.h"
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#include <cassert>
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template <
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typename DerivedV,
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typename DerivedEle,
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typename Scalar>
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IGL_INLINE void igl::normal_derivative(
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const Eigen::PlainObjectBase<DerivedV> & V,
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const Eigen::PlainObjectBase<DerivedEle> & Ele,
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Eigen::SparseMatrix<Scalar>& DD)
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{
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using namespace Eigen;
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using namespace std;
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// Element simplex-size
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const size_t ss = Ele.cols();
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assert( ((ss==3) || (ss==4)) && "Only triangles or tets");
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// cotangents
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Matrix<Scalar,Dynamic,Dynamic> C;
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cotmatrix_entries(V,Ele,C);
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vector<Triplet<Scalar> > IJV;
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// Number of elements
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const size_t m = Ele.rows();
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// Number of vertices
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const size_t n = V.rows();
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switch(ss)
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{
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default:
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assert(false);
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return;
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case 4:
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{
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const MatrixXi DDJ =
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slice(
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Ele,
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(VectorXi(24)<<
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1,0,2,0,3,0,2,1,3,1,0,1,3,2,0,2,1,2,0,3,1,3,2,3).finished(),
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2);
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MatrixXi DDI(m,24);
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for(size_t f = 0;f<4;f++)
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{
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const auto & I = (igl::LinSpaced<VectorXi >(m,0,m-1).array()+f*m).eval();
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for(size_t r = 0;r<6;r++)
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{
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DDI.col(f*6+r) = I;
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}
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}
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const DiagonalMatrix<Scalar,24,24> S =
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(Matrix<Scalar,2,1>(1,-1).template replicate<12,1>()).asDiagonal();
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Matrix<Scalar,Dynamic,Dynamic> DDV =
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slice(
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C,
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(VectorXi(24)<<
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2,2,1,1,3,3,0,0,4,4,2,2,5,5,1,1,0,0,3,3,4,4,5,5).finished(),
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2);
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DDV *= S;
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IJV.reserve(DDV.size());
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for(size_t f = 0;f<6*4;f++)
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{
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for(size_t e = 0;e<m;e++)
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{
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IJV.push_back(Triplet<Scalar>(DDI(e,f),DDJ(e,f),DDV(e,f)));
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}
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}
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DD.resize(m*4,n);
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DD.setFromTriplets(IJV.begin(),IJV.end());
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break;
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}
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case 3:
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{
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const MatrixXi DDJ =
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slice(Ele,(VectorXi(12)<<2,0,1,0,0,1,2,1,1,2,0,2).finished(),2);
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MatrixXi DDI(m,12);
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for(size_t f = 0;f<3;f++)
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{
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const auto & I = (igl::LinSpaced<VectorXi >(m,0,m-1).array()+f*m).eval();
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for(size_t r = 0;r<4;r++)
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{
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DDI.col(f*4+r) = I;
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}
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}
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const DiagonalMatrix<Scalar,12,12> S =
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(Matrix<Scalar,2,1>(1,-1).template replicate<6,1>()).asDiagonal();
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Matrix<Scalar,Dynamic,Dynamic> DDV =
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slice(C,(VectorXi(12)<<1,1,2,2,2,2,0,0,0,0,1,1).finished(),2);
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DDV *= S;
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IJV.reserve(DDV.size());
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for(size_t f = 0;f<12;f++)
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{
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for(size_t e = 0;e<m;e++)
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{
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IJV.push_back(Triplet<Scalar>(DDI(e,f),DDJ(e,f),DDV(e,f)));
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}
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}
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DD.resize(m*3,n);
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DD.setFromTriplets(IJV.begin(),IJV.end());
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break;
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}
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}
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}
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#ifdef IGL_STATIC_LIBRARY
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// Explicit template instantiation
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template void igl::normal_derivative<Eigen::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<int, -1, -1, 0, -1, -1>, double>(Eigen::PlainObjectBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::SparseMatrix<double, 0, int>&);
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#endif
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