// This file is part of libigl, a simple c++ geometry processing library.
// 
// Copyright (C) 2013 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_PER_FACE_NORMALS_H
#define IGL_PER_FACE_NORMALS_H
#include "igl_inline.h"
#include <Eigen/Core>
namespace igl
{
  /// Compute face normals via vertex position list, face list
  ///
  /// @param[in] V  #V by 3 eigen Matrix of mesh vertex 3D positions
  /// @param[in] F  #F by 3 eigen Matrix of face (triangle) indices
  /// @param[in] Z  3 vector normal given to faces with degenerate normal.
  /// @param[out] N  #F by 3 eigen Matrix of mesh face (triangle) 3D normals
  ///
  /// #### Example
  ///     // Give degenerate faces (1/3,1/3,1/3)^0.5
  ///     per_face_normals(V,F,Vector3d(1,1,1).normalized(),N);
  template <typename DerivedV, typename DerivedF, typename DerivedZ, typename DerivedN>
  IGL_INLINE void per_face_normals(
    const Eigen::MatrixBase<DerivedV>& V,
    const Eigen::MatrixBase<DerivedF>& F,
    const Eigen::MatrixBase<DerivedZ> & Z,
    Eigen::PlainObjectBase<DerivedN> & N);
  /// \overload
  /// \brief Wrapper with Z = (0,0,0). Note that this means that row norms will be zero
  /// (i.e. not 1) for degenerate normals.
  template <typename DerivedV, typename DerivedF, typename DerivedN>
  IGL_INLINE void per_face_normals(
    const Eigen::MatrixBase<DerivedV>& V,
    const Eigen::MatrixBase<DerivedF>& F,
    Eigen::PlainObjectBase<DerivedN> & N);
  /// \overload
  /// \brief Special version where order of face indices is guaranteed not to effect
  /// output.
  template <typename DerivedV, typename DerivedF, typename DerivedN>
  IGL_INLINE void per_face_normals_stable(
    const Eigen::MatrixBase<DerivedV>& V,
    const Eigen::MatrixBase<DerivedF>& F,
    Eigen::PlainObjectBase<DerivedN> & N);
  /// Per face normals for a general polygon mesh
  /// @param[in] V  #V by 3 list of mesh vertex positions
  /// @param[in] I  #I vectorized list of polygon corner indices into rows of some matrix V
  /// @param[in] C  #polygons+1 list of cumulative polygon sizes so that C(i+1)-C(i) = size of
  ///     the ith polygon, and so I(C(i)) through I(C(i+1)-1) are the indices of
  ///     the ith polygon
  /// @param[in] corner_threshold  threshold in degrees on sharp angles
  /// @param[out] N  #polygons by 3 list of per face normals
  /// @param[out] VV  #I+#polygons by 3 list of auxiliary triangle mesh vertex positions
  /// @param[out] FF  #I by 3 list of triangle indices into rows of VV
  /// @param[out] J  #I list of indices into original polygons
  template <
    typename DerivedV,
    typename DerivedI,
    typename DerivedC,
    typename DerivedN,
    typename DerivedVV,
    typename DerivedFF,
    typename DerivedJ>
  IGL_INLINE void per_face_normals(
    const Eigen::MatrixBase<DerivedV> & V,
    const Eigen::MatrixBase<DerivedI> & I,
    const Eigen::MatrixBase<DerivedC> & C,
    Eigen::PlainObjectBase<DerivedN> & N,
    Eigen::PlainObjectBase<DerivedVV> & VV,
    Eigen::PlainObjectBase<DerivedFF> & FF,
    Eigen::PlainObjectBase<DerivedJ> & J);
}

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

#endif