// 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 "local_basis.h"

#include <sstream>
#include <string>
#include <fstream>

#include <vector>
#include <Eigen/Geometry>


template <typename DerivedV, typename DerivedF>
IGL_INLINE void igl::local_basis(
  const Eigen::PlainObjectBase<DerivedV>& V,
  const Eigen::PlainObjectBase<DerivedF>& F,
  Eigen::PlainObjectBase<DerivedV>& B1,
  Eigen::PlainObjectBase<DerivedV>& B2,
  Eigen::PlainObjectBase<DerivedV>& B3
  )
{
  using namespace Eigen;
  using namespace std;
  B1.resize(F.rows(),3);
  B2.resize(F.rows(),3);
  B3.resize(F.rows(),3);

  for (unsigned i=0;i<F.rows();++i)
  {
    RowVector3d v1 = (V.row(F(i,1)) - V.row(F(i,0))).normalized();
    RowVector3d t = V.row(F(i,2)) - V.row(F(i,0));
    RowVector3d v3 = v1.cross(t).normalized();
    RowVector3d v2 = v1.cross(v3).normalized();

    B1.row(i) = v1;
    B2.row(i) = v2;
    B3.row(i) = v3;
  }
}

#ifndef IGL_HEADER_ONLY
// Explicit template specialization
// generated by autoexplicit.sh
#endif