278 lines
11 KiB
C++
278 lines
11 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_BIPC_HPP
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#define BOOST_GEOMETRY_PROJECTIONS_BIPC_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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#include <boost/math/special_functions/hypot.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 bipc
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{
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static const double epsilon = 1e-10;
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static const double epsilon10 = 1e-10;
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static const double one_plus_eps = 1.000000001;
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static const int n_iter = 10;
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static const double lamB = -.34894976726250681539;
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static const double n = .63055844881274687180;
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static const double F = 1.89724742567461030582;
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static const double Azab = .81650043674686363166;
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static const double Azba = 1.82261843856185925133;
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static const double const_T = 1.27246578267089012270;
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static const double rhoc = 1.20709121521568721927;
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static const double cAzc = .69691523038678375519;
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static const double sAzc = .71715351331143607555;
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static const double C45 = .70710678118654752469;
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static const double S45 = .70710678118654752410;
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static const double C20 = .93969262078590838411;
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static const double S20 = -.34202014332566873287;
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static const double R110 = 1.91986217719376253360;
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static const double R104 = 1.81514242207410275904;
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struct par_bipc
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{
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bool noskew;
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};
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template <typename T, typename Parameters>
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struct base_bipc_spheroid
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{
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par_bipc 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 const& lp_lon, T const& 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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static const T pi = detail::pi<T>();
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T cphi, sphi, tphi, t, al, Az, z, Av, cdlam, sdlam, r;
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int tag;
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cphi = cos(lp_lat);
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sphi = sin(lp_lat);
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cdlam = cos(sdlam = lamB - lp_lon);
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sdlam = sin(sdlam);
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if (fabs(fabs(lp_lat) - half_pi) < epsilon10) {
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Az = lp_lat < 0. ? pi : 0.;
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tphi = HUGE_VAL;
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} else {
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tphi = sphi / cphi;
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Az = atan2(sdlam , C45 * (tphi - cdlam));
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}
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if( (tag = (Az > Azba)) ) {
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cdlam = cos(sdlam = lp_lon + R110);
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sdlam = sin(sdlam);
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z = S20 * sphi + C20 * cphi * cdlam;
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if (fabs(z) > 1.) {
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if (fabs(z) > one_plus_eps)
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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else
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z = z < 0. ? -1. : 1.;
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} else
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z = acos(z);
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if (tphi != HUGE_VAL)
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Az = atan2(sdlam, (C20 * tphi - S20 * cdlam));
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Av = Azab;
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xy_y = rhoc;
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} else {
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z = S45 * (sphi + cphi * cdlam);
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if (fabs(z) > 1.) {
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if (fabs(z) > one_plus_eps)
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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else
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z = z < 0. ? -1. : 1.;
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} else
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z = acos(z);
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Av = Azba;
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xy_y = -rhoc;
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}
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if (z < 0.) {
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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}
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r = F * (t = math::pow(tan(T(0.5) * z), n));
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if ((al = .5 * (R104 - z)) < 0.) {
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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}
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al = (t + math::pow(al, n)) / const_T;
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if (fabs(al) > 1.) {
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if (fabs(al) > one_plus_eps)
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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else
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al = al < 0. ? -1. : 1.;
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} else
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al = acos(al);
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if (fabs(t = n * (Av - Az)) < al)
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r /= cos(al + (tag ? t : -t));
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xy_x = r * sin(t);
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xy_y += (tag ? -r : r) * cos(t);
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if (this->m_proj_parm.noskew) {
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t = xy_x;
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xy_x = -xy_x * cAzc - xy_y * sAzc;
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xy_y = -xy_y * cAzc + t * sAzc;
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}
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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 xy_x, T xy_y, T& lp_lon, T& lp_lat) const
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{
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T t, r, rp, rl, al, z, fAz, Az, s, c, Av;
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int neg, i;
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if (this->m_proj_parm.noskew) {
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t = xy_x;
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xy_x = -xy_x * cAzc + xy_y * sAzc;
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xy_y = -xy_y * cAzc - t * sAzc;
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}
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if( (neg = (xy_x < 0.)) ) {
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xy_y = rhoc - xy_y;
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s = S20;
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c = C20;
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Av = Azab;
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} else {
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xy_y += rhoc;
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s = S45;
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c = C45;
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Av = Azba;
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}
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rl = rp = r = boost::math::hypot(xy_x, xy_y);
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fAz = fabs(Az = atan2(xy_x, xy_y));
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for (i = n_iter; i ; --i) {
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z = 2. * atan(math::pow(r / F,T(1) / n));
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al = acos((math::pow(tan(T(0.5) * z), n) +
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math::pow(tan(T(0.5) * (R104 - z)), n)) / const_T);
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if (fAz < al)
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r = rp * cos(al + (neg ? Az : -Az));
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if (fabs(rl - r) < epsilon)
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break;
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rl = r;
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}
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if (! i)
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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Az = Av - Az / n;
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lp_lat = asin(s * cos(z) + c * sin(z) * cos(Az));
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lp_lon = atan2(sin(Az), c / tan(z) - s * cos(Az));
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if (neg)
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lp_lon -= R110;
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else
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lp_lon = lamB - lp_lon;
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}
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static inline std::string get_name()
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{
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return "bipc_spheroid";
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}
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};
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// Bipolar conic of western hemisphere
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template <typename Params, typename Parameters>
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inline void setup_bipc(Params const& params, Parameters& par, par_bipc& proj_parm)
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{
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proj_parm.noskew = pj_get_param_b<srs::spar::ns>(params, "ns", srs::dpar::ns);
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par.es = 0.;
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}
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}} // namespace detail::bipc
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#endif // doxygen
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/*!
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\brief Bipolar conic of western hemisphere 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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- Conic
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- Spheroid
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\par Projection parameters
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- ns (boolean)
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\par Example
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\image html ex_bipc.gif
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*/
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template <typename T, typename Parameters>
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struct bipc_spheroid : public detail::bipc::base_bipc_spheroid<T, Parameters>
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{
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template <typename Params>
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inline bipc_spheroid(Params const& params, Parameters & par)
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{
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detail::bipc::setup_bipc(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_FI(srs::spar::proj_bipc, bipc_spheroid)
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// Factory entry(s)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(bipc_entry, bipc_spheroid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(bipc_init)
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{
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(bipc, bipc_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_BIPC_HPP
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