#ifndef GGL_PROJECTIONS_ECK2_HPP
#define GGL_PROJECTIONS_ECK2_HPP

// Generic Geometry Library - projections (based on PROJ4)
// This file is automatically generated. DO NOT EDIT.

// Copyright Barend Gehrels (1995-2009), Geodan Holding B.V. Amsterdam, the Netherlands.
// Copyright Bruno Lalande (2008-2009)
// Use, modification and distribution is subject to the Boost Software License,
// Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)

// This file is converted from PROJ4, http://trac.osgeo.org/proj
// PROJ4 is originally written by Gerald Evenden (then of the USGS)
// PROJ4 is maintained by Frank Warmerdam
// PROJ4 is converted to Geometry Library by Barend Gehrels (Geodan, Amsterdam)

// Original copyright notice:
 
// Permission is hereby granted, free of charge, to any person obtaining a
// copy of this software and associated documentation files (the "Software"),
// to deal in the Software without restriction, including without limitation
// the rights to use, copy, modify, merge, publish, distribute, sublicense,
// and/or sell copies of the Software, and to permit persons to whom the
// Software is furnished to do so, subject to the following conditions:

// The above copyright notice and this permission notice shall be included
// in all copies or substantial portions of the Software.

// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
// THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
// DEALINGS IN THE SOFTWARE.

#include <boost/math/special_functions/hypot.hpp>

#include <ggl/projections/impl/base_static.hpp>
#include <ggl/projections/impl/base_dynamic.hpp>
#include <ggl/projections/impl/projects.hpp>
#include <ggl/projections/impl/factory_entry.hpp>

namespace ggl { namespace projection
{
    #ifndef DOXYGEN_NO_DETAIL
    namespace detail { namespace eck2{ 
            static const double FXC = 0.46065886596178063902;
            static const double FYC = 1.44720250911653531871;
            static const double C13 = 0.33333333333333333333;
            static const double ONEEPS = 1.0000001;


            // template class, using CRTP to implement forward/inverse
            template <typename Geographic, typename Cartesian, typename Parameters>
            struct base_eck2_spheroid : public base_t_fi<base_eck2_spheroid<Geographic, Cartesian, Parameters>,
                     Geographic, Cartesian, Parameters>
            {

                 typedef double geographic_type;
                 typedef double cartesian_type;


                inline base_eck2_spheroid(const Parameters& par)
                    : base_t_fi<base_eck2_spheroid<Geographic, Cartesian, Parameters>,
                     Geographic, Cartesian, Parameters>(*this, par) {}

                inline void fwd(geographic_type& lp_lon, geographic_type& lp_lat, cartesian_type& xy_x, cartesian_type& xy_y) const
                {
                	xy_x = FXC * lp_lon * (xy_y = sqrt(4. - 3. * sin(fabs(lp_lat))));
                	xy_y = FYC * (2. - xy_y);
                	if ( lp_lat < 0.) xy_y = -xy_y;
                }

                inline void inv(cartesian_type& xy_x, cartesian_type& xy_y, geographic_type& lp_lon, geographic_type& lp_lat) const
                {
                	lp_lon = xy_x / (FXC * ( lp_lat = 2. - fabs(xy_y) / FYC) );
                	lp_lat = (4. - lp_lat * lp_lat) * C13;
                	if (fabs(lp_lat) >= 1.) {
                		if (fabs(lp_lat) > ONEEPS)	throw proj_exception();
                		else
                			lp_lat = lp_lat < 0. ? -HALFPI : HALFPI;
                	} else
                		lp_lat = asin(lp_lat);
                	if (xy_y < 0)
                		lp_lat = -lp_lat;
                }
            };

            // Eckert II
            template <typename Parameters>
            void setup_eck2(Parameters& par)
            {
                par.es = 0.;
                // par.inv = s_inverse;
                // par.fwd = s_forward;
            }

        }} // namespace detail::eck2
    #endif // doxygen 

    /*!
        \brief Eckert II projection
        \ingroup projections
        \tparam Geographic latlong point type
        \tparam Cartesian xy point type
        \tparam Parameters parameter type
        \par Projection characteristics
         - Pseudocylindrical
         - Spheroid
        \par Example
        \image html ex_eck2.gif
    */
    template <typename Geographic, typename Cartesian, typename Parameters = parameters>
    struct eck2_spheroid : public detail::eck2::base_eck2_spheroid<Geographic, Cartesian, Parameters>
    {
        inline eck2_spheroid(const Parameters& par) : detail::eck2::base_eck2_spheroid<Geographic, Cartesian, Parameters>(par)
        {
            detail::eck2::setup_eck2(this->m_par);
        }
    };

    #ifndef DOXYGEN_NO_DETAIL
    namespace detail
    {

        // Factory entry(s)
        template <typename Geographic, typename Cartesian, typename Parameters>
        class eck2_entry : public detail::factory_entry<Geographic, Cartesian, Parameters>
        {
            public :
                virtual projection<Geographic, Cartesian>* create_new(const Parameters& par) const
                {
                    return new base_v_fi<eck2_spheroid<Geographic, Cartesian, Parameters>, Geographic, Cartesian, Parameters>(par);
                }
        };

        template <typename Geographic, typename Cartesian, typename Parameters>
        inline void eck2_init(detail::base_factory<Geographic, Cartesian, Parameters>& factory)
        {
            factory.add_to_factory("eck2", new eck2_entry<Geographic, Cartesian, Parameters>);
        }

    } // namespace detail 
    #endif // doxygen

}} // namespace ggl::projection

#endif // GGL_PROJECTIONS_ECK2_HPP

