// 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_PROJECT_TO_LINE_H
#define IGL_PROJECT_TO_LINE_H
#include "igl_inline.h"
#include <Eigen/Core>

namespace igl
{
  // PROJECT_TO_LINE  project points onto vectors, that is find the parameter
  // t for a point p such that proj_p = (y-x).*t, additionally compute the
  // squared distance from p to the line of the vector, such that 
  // |p - proj_p|² = sqr_d
  //
  // [T,sqrD] = project_to_line(P,S,D)
  //
  // Inputs:
  //   P  #P by dim list of points to be projected
  //   S  size dim start position of line vector
  //   D  size dim destination position of line vector
  // Outputs:
  //   T  #P by 1 list of parameters
  //   sqrD  #P by 1 list of squared distances
  //
  //
  template <
    typename DerivedP, 
    typename DerivedS, 
    typename DerivedD, 
    typename Derivedt, 
    typename DerivedsqrD>
  IGL_INLINE void project_to_line(
    const Eigen::MatrixBase<DerivedP> & P,
    const Eigen::MatrixBase<DerivedS> & S,
    const Eigen::MatrixBase<DerivedD> & D,
    Eigen::PlainObjectBase<Derivedt> & t,
    Eigen::PlainObjectBase<DerivedsqrD> & sqrD);

  // Same as above but for a single query point
  template <typename Scalar>
  IGL_INLINE void project_to_line(
    const Scalar px,
    const Scalar py,
    const Scalar pz,
    const Scalar sx,
    const Scalar sy,
    const Scalar sz,
    const Scalar dx,
    const Scalar dy,
    const Scalar dz,
    Scalar & projpx,
    Scalar & projpy,
    Scalar & projpz,
    Scalar & t,
    Scalar & sqrd);
  
  // Same as above but for a single query point
  template <typename Scalar>
  IGL_INLINE void project_to_line(
    const Scalar px,
    const Scalar py,
    const Scalar pz,
    const Scalar sx,
    const Scalar sy,
    const Scalar sz,
    const Scalar dx,
    const Scalar dy,
    const Scalar dz,
    Scalar & t,
    Scalar & sqrd);

}

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

#endif