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Merged branch 'dev_native' into lm_sla_supports_auto

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Added igl library files
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Lukas Matena 2018-10-26 15:45:52 +02:00
commit 7681d00ee5
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src/igl/dihedral_angles.cpp Normal file
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// 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 "dihedral_angles.h"
#include <cassert>
template <
typename DerivedV,
typename DerivedT,
typename Derivedtheta,
typename Derivedcos_theta>
IGL_INLINE void igl::dihedral_angles(
Eigen::PlainObjectBase<DerivedV>& V,
Eigen::PlainObjectBase<DerivedT>& T,
Eigen::PlainObjectBase<Derivedtheta>& theta,
Eigen::PlainObjectBase<Derivedcos_theta>& cos_theta)
{
using namespace Eigen;
assert(T.cols() == 4);
Matrix<typename Derivedtheta::Scalar,Dynamic,6> l;
edge_lengths(V,T,l);
Matrix<typename Derivedtheta::Scalar,Dynamic,4> s;
face_areas(l,s);
return dihedral_angles_intrinsic(l,s,theta,cos_theta);
}
template <
typename DerivedL,
typename DerivedA,
typename Derivedtheta,
typename Derivedcos_theta>
IGL_INLINE void igl::dihedral_angles_intrinsic(
Eigen::PlainObjectBase<DerivedL>& L,
Eigen::PlainObjectBase<DerivedA>& A,
Eigen::PlainObjectBase<Derivedtheta>& theta,
Eigen::PlainObjectBase<Derivedcos_theta>& cos_theta)
{
using namespace Eigen;
const int m = L.rows();
assert(m == A.rows());
// Law of cosines
// http://math.stackexchange.com/a/49340/35376
Matrix<typename Derivedtheta::Scalar,Dynamic,6> H_sqr(m,6);
H_sqr.col(0) = (1./16.) * (4. * L.col(3).array().square() * L.col(0).array().square() -
((L.col(1).array().square() + L.col(4).array().square()) -
(L.col(2).array().square() + L.col(5).array().square())).square());
H_sqr.col(1) = (1./16.) * (4. * L.col(4).array().square() * L.col(1).array().square() -
((L.col(2).array().square() + L.col(5).array().square()) -
(L.col(3).array().square() + L.col(0).array().square())).square());
H_sqr.col(2) = (1./16.) * (4. * L.col(5).array().square() * L.col(2).array().square() -
((L.col(3).array().square() + L.col(0).array().square()) -
(L.col(4).array().square() + L.col(1).array().square())).square());
H_sqr.col(3) = (1./16.) * (4. * L.col(0).array().square() * L.col(3).array().square() -
((L.col(4).array().square() + L.col(1).array().square()) -
(L.col(5).array().square() + L.col(2).array().square())).square());
H_sqr.col(4) = (1./16.) * (4. * L.col(1).array().square() * L.col(4).array().square() -
((L.col(5).array().square() + L.col(2).array().square()) -
(L.col(0).array().square() + L.col(3).array().square())).square());
H_sqr.col(5) = (1./16.) * (4. * L.col(2).array().square() * L.col(5).array().square() -
((L.col(0).array().square() + L.col(3).array().square()) -
(L.col(1).array().square() + L.col(4).array().square())).square());
cos_theta.resize(m,6);
cos_theta.col(0) = (H_sqr.col(0).array() -
A.col(1).array().square() - A.col(2).array().square()).array() /
(-2.*A.col(1).array() * A.col(2).array());
cos_theta.col(1) = (H_sqr.col(1).array() -
A.col(2).array().square() - A.col(0).array().square()).array() /
(-2.*A.col(2).array() * A.col(0).array());
cos_theta.col(2) = (H_sqr.col(2).array() -
A.col(0).array().square() - A.col(1).array().square()).array() /
(-2.*A.col(0).array() * A.col(1).array());
cos_theta.col(3) = (H_sqr.col(3).array() -
A.col(3).array().square() - A.col(0).array().square()).array() /
(-2.*A.col(3).array() * A.col(0).array());
cos_theta.col(4) = (H_sqr.col(4).array() -
A.col(3).array().square() - A.col(1).array().square()).array() /
(-2.*A.col(3).array() * A.col(1).array());
cos_theta.col(5) = (H_sqr.col(5).array() -
A.col(3).array().square() - A.col(2).array().square()).array() /
(-2.*A.col(3).array() * A.col(2).array());
theta = cos_theta.array().acos();
cos_theta.resize(m,6);
}
#ifdef IGL_STATIC_LIBRARY
// Explicit template instantiation
template void igl::dihedral_angles_intrinsic<Eigen::Matrix<double, -1, 6, 0, -1, 6>, Eigen::Matrix<double, -1, 4, 0, -1, 4>, Eigen::Matrix<double, -1, 6, 0, -1, 6>, Eigen::Matrix<double, -1, 6, 0, -1, 6> >(Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 6, 0, -1, 6> >&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 4, 0, -1, 4> >&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 6, 0, -1, 6> >&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 6, 0, -1, 6> >&);
#endif