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Building igl statically and moving to the dep scripts
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.
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1095 changed files with 181 additions and 5 deletions
67
src/libigl/igl/centroid.cpp
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67
src/libigl/igl/centroid.cpp
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// 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 "centroid.h"
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#include <Eigen/Geometry>
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template <
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typename DerivedV,
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typename DerivedF,
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typename Derivedc,
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typename Derivedvol>
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IGL_INLINE void igl::centroid(
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const Eigen::MatrixBase<DerivedV>& V,
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const Eigen::MatrixBase<DerivedF>& F,
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Eigen::PlainObjectBase<Derivedc>& cen,
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Derivedvol & vol)
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{
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using namespace Eigen;
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assert(F.cols() == 3 && "F should contain triangles.");
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assert(V.cols() == 3 && "V should contain 3d points.");
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const int m = F.rows();
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cen.setZero();
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vol = 0;
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// loop over faces
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for(int f = 0;f<m;f++)
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{
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// "Calculating the volume and centroid of a polyhedron in 3d" [Nuernberg 2013]
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// http://www2.imperial.ac.uk/~rn/centroid.pdf
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// rename corners
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typedef Eigen::Matrix<typename DerivedV::Scalar,1,3> RowVector3S;
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const RowVector3S & a = V.row(F(f,0));
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const RowVector3S & b = V.row(F(f,1));
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const RowVector3S & c = V.row(F(f,2));
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// un-normalized normal
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const RowVector3S & n = (b-a).cross(c-a);
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// total volume via divergence theorem: ∫ 1
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vol += n.dot(a)/6.;
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// centroid via divergence theorem and midpoint quadrature: ∫ x
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cen.array() += (1./24.*n.array()*((a+b).array().square() + (b+c).array().square() +
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(c+a).array().square()).array());
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}
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cen *= 1./(2.*vol);
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}
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template <
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typename DerivedV,
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typename DerivedF,
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typename Derivedc>
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IGL_INLINE void igl::centroid(
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const Eigen::MatrixBase<DerivedV>& V,
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const Eigen::MatrixBase<DerivedF>& F,
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Eigen::PlainObjectBase<Derivedc>& c)
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{
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typename Derivedc::Scalar vol;
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return centroid(V,F,c,vol);
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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::centroid<Eigen::Matrix<float, -1, 3, 1, -1, 3>, Eigen::Matrix<int, -1, 3, 1, -1, 3>, Eigen::Matrix<float, 1, 3, 1, 1, 3> >(Eigen::MatrixBase<Eigen::Matrix<float, -1, 3, 1, -1, 3> > const&, Eigen::MatrixBase<Eigen::Matrix<int, -1, 3, 1, -1, 3> > const&, Eigen::PlainObjectBase<Eigen::Matrix<float, 1, 3, 1, 1, 3> >&);
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template void igl::centroid<Eigen::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<int, -1, -1, 0, -1, -1>, Eigen::Matrix<double, 3, 1, 0, 3, 1> >(Eigen::MatrixBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::MatrixBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, 3, 1, 0, 3, 1> >&);
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#endif
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