// This file is part of libigl, a simple c++ geometry processing library.
// 
// Copyright (C) 2015 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_PSEUDONORMAL_TEST_H
#define IGL_PSEUDONORMAL_TEST_H
#include "igl_inline.h"
#include <Eigen/Core>
namespace igl
{
  // Given a mesh (V,F), a query point q, and a point on (V,F) c, determine
  // whether q is inside (V,F) --> s=-1 or outside (V,F) s=1, based on the
  // sign of the dot product between (q-c) and n, where n is the normal _at c_,
  // carefully chosen according to [Bærentzen & Aanæs 2005]
  //
  // Inputs:
  //   V  #V by 3 list of vertex positions
  //   F  #F by 3 list of triangle indices
  //   FN  #F by 3 list of triangle normals 
  //   VN  #V by 3 list of vertex normals (ANGLE WEIGHTING)
  //   EN  #E by 3 list of edge normals (UNIFORM WEIGHTING)
  //   EMAP  #F*3 mapping edges in F to E
  //   q  Query point
  //   f  index into F to face to which c belongs
  //   c  Point on (V,F)
  // Outputs:
  //   s  sign
  //   n  normal
  template <
    typename DerivedV,
    typename DerivedF,
    typename DerivedFN,
    typename DerivedVN,
    typename DerivedEN,
    typename DerivedEMAP,
    typename Derivedq,
    typename Derivedc,
    typename Scalar,
    typename Derivedn>
  IGL_INLINE void pseudonormal_test(
    const Eigen::MatrixBase<DerivedV> & V,
    const Eigen::MatrixBase<DerivedF> & F,
    const Eigen::MatrixBase<DerivedFN> & FN,
    const Eigen::MatrixBase<DerivedVN> & VN,
    const Eigen::MatrixBase<DerivedEN> & EN,
    const Eigen::MatrixBase<DerivedEMAP> & EMAP,
    const Eigen::MatrixBase<Derivedq> & q,
    const int f,
    Eigen::PlainObjectBase<Derivedc> & c,
    Scalar & s,
    Eigen::PlainObjectBase<Derivedn> & n);
  template <
    typename DerivedV,
    typename DerivedF,
    typename DerivedEN,
    typename DerivedVN,
    typename Derivedq,
    typename Derivedc,
    typename Scalar,
    typename Derivedn>
  IGL_INLINE void pseudonormal_test(
    const Eigen::MatrixBase<DerivedV> & V,
    const Eigen::MatrixBase<DerivedF> & E,
    const Eigen::MatrixBase<DerivedEN> & EN,
    const Eigen::MatrixBase<DerivedVN> & VN,
    const Eigen::MatrixBase<Derivedq> & q,
    const int e,
    Eigen::PlainObjectBase<Derivedc> & c,
    Scalar & s,
    Eigen::PlainObjectBase<Derivedn> & n);
}
#ifndef IGL_STATIC_LIBRARY
#  include "pseudonormal_test.cpp"
#endif
#endif