// This file is part of libigl, a simple c++ geometry processing library.
// 
// Copyright (C) 2022 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_MOMENTS_H
#define IGL_MOMENTS_H
#include "igl_inline.h"
#include <Eigen/Core>
namespace igl
{
  // Computes the moments of mass for a solid object bound by a triangle mesh.
  // 
  // Inputs:
  //   V  #V by dim list of rest domain positions
  //   F  #F by 3 list of triangle indices into V
  // Outputs:
  //   m0  zeroth moment of mass, total signed volume of solid.
  //   m1  first moment of mass, center of mass times total mass
  //   m2  second moment of mass, moment of inertia with center of mass as reference point
  template <
    typename DerivedV, 
    typename DerivedF, 
    typename Derivedm0,
    typename Derivedm1,
    typename Derivedm2>
  IGL_INLINE void moments(
    const Eigen::MatrixBase<DerivedV>& V,
    const Eigen::MatrixBase<DerivedF>& F,
    Derivedm0 & m0,
    Eigen::PlainObjectBase<Derivedm1>& m1,
    Eigen::PlainObjectBase<Derivedm2>& m2);
}

#ifndef IGL_STATIC_LIBRARY
#  include "moments.cpp"
#endif
#endif