278 lines
12 KiB
C++
278 lines
12 KiB
C++
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// 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_ROBIN_HPP
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#define BOOST_GEOMETRY_PROJECTIONS_ROBIN_HPP
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#include <boost/geometry/util/math.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/projects.hpp>
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#include <boost/geometry/srs/projections/impl/factory_entry.hpp>
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#include <boost/geometry/srs/projections/impl/function_overloads.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 robin
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{
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static const double FXC = 0.8487;
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static const double FYC = 1.3523;
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static const double C1 = 11.45915590261646417544;
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static const double RC1 = 0.08726646259971647884;
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static const int n_nodes = 18;
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static const double one_plus_eps = 1.000001;
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static const double epsilon = 1e-8;
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/* Not sure at all of the appropriate number for max_iter... */
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static const int max_iter = 100;
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/*
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note: following terms based upon 5 deg. intervals in degrees.
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Some background on these coefficients is available at:
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http://article.gmane.org/gmane.comp.gis.proj-4.devel/6039
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http://trac.osgeo.org/proj/ticket/113
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*/
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template <typename T>
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struct coefs {
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T c0, c1, c2, c3;
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};
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template <typename T>
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inline const coefs<T> * coefs_x()
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{
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static const coefs<T> result[] = {
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{1.0, 2.2199e-17, -7.15515e-05, 3.1103e-06},
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{0.9986, -0.000482243, -2.4897e-05, -1.3309e-06},
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{0.9954, -0.00083103, -4.48605e-05, -9.86701e-07},
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{0.99, -0.00135364, -5.9661e-05, 3.6777e-06},
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{0.9822, -0.00167442, -4.49547e-06, -5.72411e-06},
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{0.973, -0.00214868, -9.03571e-05, 1.8736e-08},
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{0.96, -0.00305085, -9.00761e-05, 1.64917e-06},
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{0.9427, -0.00382792, -6.53386e-05, -2.6154e-06},
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{0.9216, -0.00467746, -0.00010457, 4.81243e-06},
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{0.8962, -0.00536223, -3.23831e-05, -5.43432e-06},
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{0.8679, -0.00609363, -0.000113898, 3.32484e-06},
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{0.835, -0.00698325, -6.40253e-05, 9.34959e-07},
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{0.7986, -0.00755338, -5.00009e-05, 9.35324e-07},
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{0.7597, -0.00798324, -3.5971e-05, -2.27626e-06},
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{0.7186, -0.00851367, -7.01149e-05, -8.6303e-06},
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{0.6732, -0.00986209, -0.000199569, 1.91974e-05},
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{0.6213, -0.010418, 8.83923e-05, 6.24051e-06},
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{0.5722, -0.00906601, 0.000182, 6.24051e-06},
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{0.5322, -0.00677797, 0.000275608, 6.24051e-06}
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};
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return result;
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}
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template <typename T>
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inline const coefs<T> * coefs_y()
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{
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static const coefs<T> result[] = {
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{-5.20417e-18, 0.0124, 1.21431e-18, -8.45284e-11},
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{0.062, 0.0124, -1.26793e-09, 4.22642e-10},
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{0.124, 0.0124, 5.07171e-09, -1.60604e-09},
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{0.186, 0.0123999, -1.90189e-08, 6.00152e-09},
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{0.248, 0.0124002, 7.10039e-08, -2.24e-08},
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{0.31, 0.0123992, -2.64997e-07, 8.35986e-08},
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{0.372, 0.0124029, 9.88983e-07, -3.11994e-07},
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{0.434, 0.0123893, -3.69093e-06, -4.35621e-07},
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{0.4958, 0.0123198, -1.02252e-05, -3.45523e-07},
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{0.5571, 0.0121916, -1.54081e-05, -5.82288e-07},
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{0.6176, 0.0119938, -2.41424e-05, -5.25327e-07},
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{0.6769, 0.011713, -3.20223e-05, -5.16405e-07},
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{0.7346, 0.0113541, -3.97684e-05, -6.09052e-07},
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{0.7903, 0.0109107, -4.89042e-05, -1.04739e-06},
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{0.8435, 0.0103431, -6.4615e-05, -1.40374e-09},
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{0.8936, 0.00969686, -6.4636e-05, -8.547e-06},
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{0.9394, 0.00840947, -0.000192841, -4.2106e-06},
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{0.9761, 0.00616527, -0.000256, -4.2106e-06},
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{1.0, 0.00328947, -0.000319159, -4.2106e-06}
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};
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return result;
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}
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template <typename T, typename Parameters>
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struct base_robin_spheroid
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{
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inline T v(coefs<T> const& c, T const& z) const
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{ return (c.c0 + z * (c.c1 + z * (c.c2 + z * c.c3))); }
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inline T dv(coefs<T> const& c, T const& z) const
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{ return (c.c1 + z * (c.c2 + c.c2 + z * 3. * c.c3)); }
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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 const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
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{
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int i;
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T dphi;
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i = int_floor((dphi = fabs(lp_lat)) * C1);
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if (i < 0) {
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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}
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if (i >= n_nodes) i = n_nodes - 1;
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dphi = geometry::math::r2d<T>() * (dphi - RC1 * i);
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xy_x = v(coefs_x<T>()[i], dphi) * FXC * lp_lon;
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xy_y = v(coefs_y<T>()[i], dphi) * FYC;
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if (lp_lat < 0.) xy_y = -xy_y;
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}
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// INVERSE(s_inverse) spheroid
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// Project coordinates from cartesian (x, y) to geographic (lon, lat)
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inline void inv(Parameters const& , T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
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{
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static const T half_pi = detail::half_pi<T>();
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const coefs<T> * coefs_x = robin::coefs_x<T>();
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const coefs<T> * coefs_y = robin::coefs_y<T>();
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int i;
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T t, t1;
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coefs<T> coefs_t;
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int iters;
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lp_lon = xy_x / FXC;
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lp_lat = fabs(xy_y / FYC);
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if (lp_lat >= 1.) { /* simple pathologic cases */
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if (lp_lat > one_plus_eps) {
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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} else {
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lp_lat = xy_y < 0. ? -half_pi : half_pi;
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lp_lon /= coefs_x[n_nodes].c0;
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}
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} else { /* general problem */
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/* in Y space, reduce to table interval */
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i = int_floor(lp_lat * n_nodes);
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if( i < 0 || i >= n_nodes ) {
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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}
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for (;;) {
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if (coefs_y[i].c0 > lp_lat) --i;
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else if (coefs_y[i+1].c0 <= lp_lat) ++i;
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else break;
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}
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coefs_t = coefs_y[i];
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/* first guess, linear interp */
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t = 5. * (lp_lat - coefs_t.c0)/(coefs_y[i+1].c0 - coefs_t.c0);
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/* make into root */
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coefs_t.c0 = (T)(coefs_t.c0 - lp_lat);
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for (iters = max_iter; iters ; --iters) { /* Newton-Raphson */
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t -= t1 = v(coefs_t,t) / dv(coefs_t,t);
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if (fabs(t1) < epsilon)
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break;
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}
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if( iters == 0 )
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BOOST_THROW_EXCEPTION( projection_exception(error_non_convergent) );
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lp_lat = (5 * i + t) * geometry::math::d2r<T>();
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if (xy_y < 0.) lp_lat = -lp_lat;
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lp_lon /= v(coefs_x[i], t);
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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 "robin_spheroid";
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}
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};
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// Robinson
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template <typename Parameters>
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inline void setup_robin(Parameters& par)
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{
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par.es = 0.;
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}
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}} // namespace detail::robin
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#endif // doxygen
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/*!
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\brief Robinson 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_robin.gif
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*/
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template <typename T, typename Parameters>
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struct robin_spheroid : public detail::robin::base_robin_spheroid<T, Parameters>
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{
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template <typename Params>
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inline robin_spheroid(Params const& , Parameters & par)
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{
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detail::robin::setup_robin(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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// Static projection
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_robin, robin_spheroid)
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// Factory entry(s)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(robin_entry, robin_spheroid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(robin_init)
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{
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(robin, robin_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_ROBIN_HPP
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