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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/.
#ifndef IGL_VOLUME_H
#define IGL_VOLUME_H
#include "igl_inline.h"
#include <Eigen/Core>
namespace igl
{
/// Compute volume for all tets of a given tet mesh (V,T)
///
/// @param[in] V #V by dim list of vertex positions
/// @param[in] T #T by 4 list of tet indices
/// @param[out] vol #T list of tetrahedron volumes
///
template <
typename DerivedV,
typename DerivedT,
typename Derivedvol>
IGL_INLINE void volume(
const Eigen::MatrixBase<DerivedV>& V,
const Eigen::MatrixBase<DerivedT>& T,
Eigen::PlainObjectBase<Derivedvol>& vol);
/// \overload
/// @param[in] A #V by dim list of first corner position
/// @param[in] B #V by dim list of second corner position
/// @param[in] C #V by dim list of third corner position
/// @param[in] D #V by dim list of fourth corner position
template <
typename DerivedA,
typename DerivedB,
typename DerivedC,
typename DerivedD,
typename Derivedvol>
IGL_INLINE void volume(
const Eigen::MatrixBase<DerivedA> & A,
const Eigen::MatrixBase<DerivedB> & B,
const Eigen::MatrixBase<DerivedC> & C,
const Eigen::MatrixBase<DerivedD> & D,
Eigen::PlainObjectBase<Derivedvol> & vol);
/// \overload
/// \brief Single tet
template <
typename VecA,
typename VecB,
typename VecC,
typename VecD>
IGL_INLINE typename VecA::Scalar volume_single(
const VecA & a,
const VecB & b,
const VecC & c,
const VecD & d);
/// \overload
/// \brief Intrinsic version:
///
/// @param[in] L #V by 6 list of edge lengths (see edge_lengths)
template <
typename DerivedL,
typename Derivedvol>
IGL_INLINE void volume(
const Eigen::MatrixBase<DerivedL>& L,
Eigen::PlainObjectBase<Derivedvol>& vol);
}
#ifndef IGL_STATIC_LIBRARY
# include "volume.cpp"
#endif
#endif