188 lines
6.8 KiB
C++
188 lines
6.8 KiB
C++
// Boost.Geometry - gis-projections (based on PROJ4)
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// Copyright (c) 2008-2015 Barend Gehrels, Amsterdam, the Netherlands.
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// This file was modified by Oracle on 2017, 2018, 2019.
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// Modifications copyright (c) 2017-2019, Oracle and/or its affiliates.
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// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle.
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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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// Last updated version of proj: 5.0.0
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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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#ifndef BOOST_GEOMETRY_PROJECTIONS_LAGRNG_HPP
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#define BOOST_GEOMETRY_PROJECTIONS_LAGRNG_HPP
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#include <boost/geometry/srs/projections/impl/base_static.hpp>
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#include <boost/geometry/srs/projections/impl/base_dynamic.hpp>
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#include <boost/geometry/srs/projections/impl/factory_entry.hpp>
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#include <boost/geometry/srs/projections/impl/pj_param.hpp>
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#include <boost/geometry/srs/projections/impl/projects.hpp>
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#include <boost/geometry/util/math.hpp>
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namespace boost { namespace geometry
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{
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namespace projections
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{
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#ifndef DOXYGEN_NO_DETAIL
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namespace detail { namespace lagrng
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{
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static const double tolerance = 1e-10;
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template <typename T>
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struct par_lagrng
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{
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T a1;
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T rw;
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T hrw;
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};
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template <typename T, typename Parameters>
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struct base_lagrng_spheroid
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{
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par_lagrng<T> m_proj_parm;
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// FORWARD(s_forward) spheroid
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// Project coordinates from geographic (lon, lat) to cartesian (x, y)
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inline void fwd(Parameters const& , T lp_lon, T lp_lat, T& xy_x, T& xy_y) const
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{
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static const T half_pi = detail::half_pi<T>();
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T v, c;
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if (fabs(fabs(lp_lat) - half_pi) < tolerance) {
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xy_x = 0;
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xy_y = lp_lat < 0 ? -2. : 2.;
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} else {
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lp_lat = sin(lp_lat);
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v = this->m_proj_parm.a1 * math::pow((T(1) + lp_lat)/(T(1) - lp_lat), this->m_proj_parm.hrw);
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if ((c = 0.5 * (v + 1./v) + cos(lp_lon *= this->m_proj_parm.rw)) < tolerance) {
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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}
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xy_x = 2. * sin(lp_lon) / c;
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xy_y = (v - 1./v) / c;
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}
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}
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static inline std::string get_name()
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{
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return "lagrng_spheroid";
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}
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};
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// Lagrange
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template <typename Params, typename Parameters, typename T>
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inline void setup_lagrng(Params const& params, Parameters& par, par_lagrng<T>& proj_parm)
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{
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T phi1;
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proj_parm.rw = 0.0;
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bool is_w_set = pj_param_f<srs::spar::w>(params, "W", srs::dpar::w, proj_parm.rw);
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// Boost.Geometry specific, set default parameters manually
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if (! is_w_set) {
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bool const use_defaults = ! pj_get_param_b<srs::spar::no_defs>(params, "no_defs", srs::dpar::no_defs);
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if (use_defaults) {
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proj_parm.rw = 2;
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}
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}
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if (proj_parm.rw <= 0)
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BOOST_THROW_EXCEPTION( projection_exception(error_w_or_m_zero_or_less) );
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proj_parm.rw = 1. / proj_parm.rw;
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proj_parm.hrw = 0.5 * proj_parm.rw;
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phi1 = pj_get_param_r<T, srs::spar::lat_1>(params, "lat_1", srs::dpar::lat_1);
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if (fabs(fabs(phi1 = sin(phi1)) - 1.) < tolerance)
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BOOST_THROW_EXCEPTION( projection_exception(error_lat_larger_than_90) );
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proj_parm.a1 = math::pow((T(1) - phi1)/(T(1) + phi1), proj_parm.hrw);
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par.es = 0.;
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}
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}} // namespace detail::lagrng
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#endif // doxygen
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/*!
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\brief Lagrange 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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- Miscellaneous
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- Spheroid
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- no inverse
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\par Projection parameters
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- W (real)
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- lat_1: Latitude of first standard parallel (degrees)
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\par Example
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\image html ex_lagrng.gif
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*/
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template <typename T, typename Parameters>
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struct lagrng_spheroid : public detail::lagrng::base_lagrng_spheroid<T, Parameters>
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{
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template <typename Params>
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inline lagrng_spheroid(Params const& params, Parameters & par)
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{
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detail::lagrng::setup_lagrng(params, par, this->m_proj_parm);
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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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// Static projection
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_F(srs::spar::proj_lagrng, lagrng_spheroid)
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// Factory entry(s)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_F(lagrng_entry, lagrng_spheroid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(lagrng_init)
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{
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(lagrng, lagrng_entry);
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}
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} // namespace detail
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#endif // doxygen
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} // namespace projections
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}} // namespace boost::geometry
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#endif // BOOST_GEOMETRY_PROJECTIONS_LAGRNG_HPP
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