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// 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
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