/* 
 * lens.cc -- ePiX::lens functions
 *
 * This file is part of ePiX, a C++ library for creating high-quality 
 * figures in LaTeX 
 *
 * Version 1.1.22
 * Last Change: September 24, 2007
 */

/* 
 * Copyright (C) 2001, 2002, 2003, 2004, 2005, 2006, 2007
 * Andrew D. Hwang <rot 13 nujnat at zngupf dot ubylpebff dot rqh>
 * Department of Mathematics and Computer Science
 * College of the Holy Cross
 * Worcester, MA, 01610-2395, USA
 */

/*
 * ePiX is free software; you can redistribute it and/or modify it
 * under the terms of the GNU General Public License as published by
 * the Free Software Foundation; either version 2 of the License, or
 * (at your option) any later version.
 *
 * ePiX is distributed in the hope that it will be useful, but WITHOUT
 * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
 * or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public
 * License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with ePiX; if not, write to the Free Software Foundation, Inc.,
 * 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
 */
// #include <cmath>

#include "pairs.h"
#include "triples.h"
#include "frame.h"

#include "lens.h"

namespace ePiX {

  Lens::~Lens() { }

  pair Perspective::operator()
    (const P& arg, const frame& orient, const P& viewpt,
     double dist) const
  {
    P arg_vector(arg - viewpt);

    // get arg's location in our coordinates
    double u1(orient.sea()|arg_vector);
    double u2(orient.sky()|arg_vector);
    double u3(orient.eye()|arg_vector);

    return (-dist/u3)*pair(u1, u2);
  } // end of Camera::Perspective::operator()

  bool Perspective::is_linear() const
  {
    return true;
  }

  bool Perspective::needs_clip() const
  {
    return true;
  }

  Perspective* Perspective::clone() const
  {
    return new Perspective(*this);
  }


  pair Orthog::operator()
    (const P& arg, const frame& orient, const P& viewpt,
     double dist) const
  {
    P arg_vector(arg - viewpt);
    double u1(orient.sea()|arg_vector);
    double u2(orient.sky()|arg_vector);

    return pair(u1, u2);
  } // end of Camera::Orthog::operator()

  bool Orthog::is_linear() const
  {
    return true;
  }

  bool Orthog::needs_clip() const
  {
    return true;
  }

  Orthog* Orthog::clone() const
  {
    return new Orthog(*this);
  }


  pair Fisheye::operator()
    (const P& arg, const frame& orient, const P& viewpt,
     double dist) const
  {
    P arg_vector(arg - viewpt);
    arg_vector *= 1.0/(norm(arg_vector));

    double u1(orient.sea()|arg_vector);
    double u2(orient.sky()|arg_vector);

    // radial projection to camera sphere, then orthogonal projection
    return dist*pair(u1, u2);
  } // end of Camera::Fisheye::operator()

  bool Fisheye::is_linear() const
  {
    return false;
  }

  bool Fisheye::needs_clip() const
  {
    return false;
  }

  Fisheye* Fisheye::clone() const
  {
    return new Fisheye(*this);
  }


  pair Bubble::operator()
    (const P& arg, const frame& orient, const P& viewpt,
     double dist) const
  {
    P arg_vector(arg - viewpt);
    arg_vector *= 1.0/(norm(arg_vector));

    double u1(orient.sea()|arg_vector);
    double u2(orient.sky()|arg_vector);
    double u3(orient.eye()|arg_vector);

    // radial projection to camera sphere, then stereographic projection
    return (2.0*dist/(1-u3))*pair(u1, u2);
  } // end of Camera::Bubble::operator()

  bool Bubble::is_linear() const
  {
    return false;
  }

  bool Bubble::needs_clip() const
  {
    return false;
  }

  Bubble* Bubble::clone() const
  {
    return new Bubble(*this);
  }
} // end of namespace
