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[geometry] projections, added Natural Earth projection
[SVN r77231]
This commit is contained in:
Barend Gehrels
@@ -70,6 +70,7 @@
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#include <boost/geometry/extensions/gis/projections/proj/mill.hpp>
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#include <boost/geometry/extensions/gis/projections/proj/mod_ster.hpp>
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#include <boost/geometry/extensions/gis/projections/proj/moll.hpp>
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#include <boost/geometry/extensions/gis/projections/proj/natearth.hpp>
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#include <boost/geometry/extensions/gis/projections/proj/nell.hpp>
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#include <boost/geometry/extensions/gis/projections/proj/nell_h.hpp>
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#include <boost/geometry/extensions/gis/projections/proj/nocol.hpp>
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@@ -190,6 +191,7 @@ public:
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detail::mill_init(*this);
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detail::mod_ster_init(*this);
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detail::moll_init(*this);
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detail::natearth_init(*this);
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detail::nell_init(*this);
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detail::nell_h_init(*this);
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detail::nocol_init(*this);
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@@ -42,6 +42,7 @@
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#include <boost/geometry/extensions/gis/projections/impl/base_dynamic.hpp>
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#include <boost/geometry/extensions/gis/projections/impl/projects.hpp>
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#include <boost/geometry/extensions/gis/projections/impl/factory_entry.hpp>
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#include <boost/geometry/extensions/gis/projections/impl/aasincos.hpp>
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namespace boost { namespace geometry { namespace projections
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{
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@@ -0,0 +1,186 @@
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#ifndef BOOST_GEOMETRY_PROJECTIONS_NATEARTH_HPP
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#define BOOST_GEOMETRY_PROJECTIONS_NATEARTH_HPP
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// Boost.Geometry - extensions-gis-projections (based on PROJ4)
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// This file is automatically generated. DO NOT EDIT.
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// Copyright (c) 2008-2012 Barend Gehrels, Amsterdam, the Netherlands.
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// Use, modification and distribution is subject to the Boost Software License,
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// Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
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// http://www.boost.org/LICENSE_1_0.txt)
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// This file is converted from PROJ4, http://trac.osgeo.org/proj
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// PROJ4 is originally written by Gerald Evenden (then of the USGS)
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// PROJ4 is maintained by Frank Warmerdam
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// PROJ4 is converted to Boost.Geometry by Barend Gehrels
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// Original copyright notice:
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// Permission is hereby granted, free of charge, to any person obtaining a
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// copy of this software and associated documentation files (the "Software"),
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// to deal in the Software without restriction, including without limitation
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// the rights to use, copy, modify, merge, publish, distribute, sublicense,
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// and/or sell copies of the Software, and to permit persons to whom the
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// Software is furnished to do so, subject to the following conditions:
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// The above copyright notice and this permission notice shall be included
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// in all copies or substantial portions of the Software.
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// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
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// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
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// THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
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// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
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// DEALINGS IN THE SOFTWARE.
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#include <boost/math/special_functions/hypot.hpp>
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#include <boost/geometry/extensions/gis/projections/impl/base_static.hpp>
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#include <boost/geometry/extensions/gis/projections/impl/base_dynamic.hpp>
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#include <boost/geometry/extensions/gis/projections/impl/projects.hpp>
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#include <boost/geometry/extensions/gis/projections/impl/factory_entry.hpp>
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namespace boost { namespace geometry { namespace projections
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{
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#ifndef DOXYGEN_NO_DETAIL
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namespace detail { namespace natearth{
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static const double A0 = 0.8707;
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static const double A1 = -0.131979;
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static const double A2 = -0.013791;
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static const double A3 = 0.003971;
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static const double A4 = -0.001529;
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static const double B0 = 1.007226;
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static const double B1 = 0.015085;
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static const double B2 = -0.044475;
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static const double B3 = 0.028874;
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static const double B4 = -0.005916;
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static const double C0 = B0;
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static const double C1 = (3 * B1);
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static const double C2 = (7 * B2);
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static const double C3 = (9 * B3);
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static const double C4 = (11 * B4);
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static const double EPS = 1e-11;
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static const double MAX_Y = (0.8707 * 0.52 * PI);
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// template class, using CRTP to implement forward/inverse
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template <typename Geographic, typename Cartesian, typename Parameters>
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struct base_natearth_spheroid : public base_t_fi<base_natearth_spheroid<Geographic, Cartesian, Parameters>,
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Geographic, Cartesian, Parameters>
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{
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typedef double geographic_type;
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typedef double cartesian_type;
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inline base_natearth_spheroid(const Parameters& par)
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: base_t_fi<base_natearth_spheroid<Geographic, Cartesian, Parameters>,
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Geographic, Cartesian, Parameters>(*this, par) {}
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inline void fwd(geographic_type& lp_lon, geographic_type& lp_lat, cartesian_type& xy_x, cartesian_type& xy_y) const
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{
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double phi2, phi4;
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phi2 = lp_lat * lp_lat;
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phi4 = phi2 * phi2;
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xy_x = lp_lon * (A0 + phi2 * (A1 + phi2 * (A2 + phi4 * phi2 * (A3 + phi2 * A4))));
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xy_y = lp_lat * (B0 + phi2 * (B1 + phi4 * (B2 + B3 * phi2 + B4 * phi4)));
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}
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inline void inv(cartesian_type& xy_x, cartesian_type& xy_y, geographic_type& lp_lon, geographic_type& lp_lat) const
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{
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double yc, tol, y2, y4, f, fder;
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/* make sure y is inside valid range */
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if (xy_y > MAX_Y) {
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xy_y = MAX_Y;
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} else if (xy_y < -MAX_Y) {
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xy_y = -MAX_Y;
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}
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/* latitude */
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yc = xy_y;
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for (;;) { /* Newton-Raphson */
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y2 = yc * yc;
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y4 = y2 * y2;
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f = (yc * (B0 + y2 * (B1 + y4 * (B2 + B3 * y2 + B4 * y4)))) - xy_y;
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fder = C0 + y2 * (C1 + y4 * (C2 + C3 * y2 + C4 * y4));
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yc -= tol = f / fder;
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if (fabs(tol) < EPS) {
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break;
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}
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}
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lp_lat = yc;
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/* longitude */
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y2 = yc * yc;
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lp_lon = xy_x / (A0 + y2 * (A1 + y2 * (A2 + y2 * y2 * y2 * (A3 + y2 * A4))));
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}
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};
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// Natural Earth
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template <typename Parameters>
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void setup_natearth(Parameters& par)
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{
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par.es = 0;
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// par.inv = s_inverse;
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// par.fwd = s_forward;
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}
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}} // namespace detail::natearth
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#endif // doxygen
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/*!
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\brief Natural Earth projection
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\ingroup projections
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\tparam Geographic latlong point type
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\tparam Cartesian xy point type
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\tparam Parameters parameter type
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\par Projection characteristics
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- Pseudocylindrical
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- Spheroid
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\par Example
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\image html ex_natearth.gif
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*/
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template <typename Geographic, typename Cartesian, typename Parameters = parameters>
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struct natearth_spheroid : public detail::natearth::base_natearth_spheroid<Geographic, Cartesian, Parameters>
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{
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inline natearth_spheroid(const Parameters& par) : detail::natearth::base_natearth_spheroid<Geographic, Cartesian, Parameters>(par)
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{
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detail::natearth::setup_natearth(this->m_par);
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}
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};
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#ifndef DOXYGEN_NO_DETAIL
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namespace detail
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{
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// Factory entry(s)
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template <typename Geographic, typename Cartesian, typename Parameters>
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class natearth_entry : public detail::factory_entry<Geographic, Cartesian, Parameters>
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{
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public :
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virtual projection<Geographic, Cartesian>* create_new(const Parameters& par) const
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{
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return new base_v_fi<natearth_spheroid<Geographic, Cartesian, Parameters>, Geographic, Cartesian, Parameters>(par);
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}
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};
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template <typename Geographic, typename Cartesian, typename Parameters>
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inline void natearth_init(detail::base_factory<Geographic, Cartesian, Parameters>& factory)
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{
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factory.add_to_factory("natearth", new natearth_entry<Geographic, Cartesian, Parameters>);
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}
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} // namespace detail
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#endif // doxygen
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}}} // namespace boost::geometry::projections
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#endif // BOOST_GEOMETRY_PROJECTIONS_NATEARTH_HPP
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@@ -188,6 +188,7 @@ void test_all()
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test_forward<P>("murd1", 4.897000, 52.371000, 333340.993642, 5839071.944597, "+proj=murd1 +ellps=WGS84 +units=m +lat_1=20n +lat_2=60n");
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test_forward<P>("murd2", 4.897000, 52.371000, 317758.821713, 6759296.097305, "+proj=murd2 +ellps=WGS84 +units=m +lat_1=20n +lat_2=60n");
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test_forward<P>("murd3", 4.897000, 52.371000, 331696.409000, 5839224.186916, "+proj=murd3 +ellps=WGS84 +units=m +lat_1=20n +lat_2=60n");
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test_forward<P>("natearth", 4.897000, 52.371000, 409886.629231, 5862282.218987, "+proj=natearth +ellps=WGS84 +units=m");
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test_forward<P>("nell", 4.897000, 52.371000, 454576.246081, 5355027.851999, "+proj=nell +ellps=WGS84 +units=m");
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test_forward<P>("nell_h", 4.897000, 52.371000, 438979.742911, 5386970.539995, "+proj=nell_h +ellps=WGS84 +units=m");
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test_forward<P>("nicol", 4.897000, 52.371000, 360493.071000, 5836451.532406, "+proj=nicol +ellps=WGS84 +units=m");
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@@ -304,6 +305,7 @@ void test_all()
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test_inverse<P>("murd1", 333340.993642, 5839071.944597, 4.897000, 52.371000, "+proj=murd1 +ellps=WGS84 +units=m +lat_1=20n +lat_2=60n");
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test_inverse<P>("murd2", 317758.821713, 6759296.097305, 4.897000, 52.371000, "+proj=murd2 +ellps=WGS84 +units=m +lat_1=20n +lat_2=60n");
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test_inverse<P>("murd3", 331696.409000, 5839224.186916, 4.897000, 52.371000, "+proj=murd3 +ellps=WGS84 +units=m +lat_1=20n +lat_2=60n");
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test_inverse<P>("natearth", 409886.629231, 5862282.218987, 4.897000, 52.371000, "+proj=natearth +ellps=WGS84 +units=m");
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test_inverse<P>("nell", 454576.246081, 5355027.851999, 4.897000, 52.371000, "+proj=nell +ellps=WGS84 +units=m");
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test_inverse<P>("nell_h", 438979.742911, 5386970.539995, 4.897000, 52.371000, "+proj=nell_h +ellps=WGS84 +units=m");
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test_inverse<P>("nsper", 0.521191, 7.919806, 4.897000, 52.371000, "+proj=nsper +ellps=WGS84 +units=m +a=10 +h=40000000");
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