266 lines
11 KiB
C++
266 lines
11 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_LCC_HPP
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#define BOOST_GEOMETRY_PROJECTIONS_LCC_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_msfn.hpp>
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#include <boost/geometry/srs/projections/impl/pj_param.hpp>
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#include <boost/geometry/srs/projections/impl/pj_phi2.hpp>
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#include <boost/geometry/srs/projections/impl/pj_tsfn.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 lcc
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{
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static const double epsilon10 = 1.e-10;
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template <typename T>
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struct par_lcc
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{
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T phi1;
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T phi2;
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T n;
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T rho0;
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T c;
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bool ellips;
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};
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template <typename T, typename Parameters>
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struct base_lcc_ellipsoid
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{
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par_lcc<T> m_proj_parm;
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// FORWARD(e_forward) ellipsoid & spheroid
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// Project coordinates from geographic (lon, lat) to cartesian (x, y)
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inline void fwd(Parameters const& par, T lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
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{
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static const T fourth_pi = detail::fourth_pi<T>();
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static const T half_pi = detail::half_pi<T>();
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T rho;
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if (fabs(fabs(lp_lat) - half_pi) < epsilon10) {
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if ((lp_lat * this->m_proj_parm.n) <= 0.) {
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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}
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rho = 0.;
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} else {
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rho = this->m_proj_parm.c * (this->m_proj_parm.ellips
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? math::pow(pj_tsfn(lp_lat, sin(lp_lat), par.e), this->m_proj_parm.n)
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: math::pow(tan(fourth_pi + T(0.5) * lp_lat), -this->m_proj_parm.n));
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}
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lp_lon *= this->m_proj_parm.n;
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xy_x = par.k0 * (rho * sin( lp_lon) );
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xy_y = par.k0 * (this->m_proj_parm.rho0 - rho * cos(lp_lon) );
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}
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// INVERSE(e_inverse) ellipsoid & spheroid
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// Project coordinates from cartesian (x, y) to geographic (lon, lat)
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inline void inv(Parameters const& par, T xy_x, T 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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T rho;
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xy_x /= par.k0;
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xy_y /= par.k0;
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xy_y = this->m_proj_parm.rho0 - xy_y;
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rho = boost::math::hypot(xy_x, xy_y);
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if(rho != 0.0) {
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if (this->m_proj_parm.n < 0.) {
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rho = -rho;
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xy_x = -xy_x;
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xy_y = -xy_y;
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}
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if (this->m_proj_parm.ellips) {
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lp_lat = pj_phi2(math::pow(rho / this->m_proj_parm.c, T(1)/this->m_proj_parm.n), par.e);
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if (lp_lat == HUGE_VAL) {
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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}
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} else
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lp_lat = 2. * atan(math::pow(this->m_proj_parm.c / rho, T(1)/this->m_proj_parm.n)) - half_pi;
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lp_lon = atan2(xy_x, xy_y) / this->m_proj_parm.n;
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} else {
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lp_lon = 0.;
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lp_lat = this->m_proj_parm.n > 0. ? half_pi : -half_pi;
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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 "lcc_ellipsoid";
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}
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};
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// Lambert Conformal Conic
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template <typename Params, typename Parameters, typename T>
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inline void setup_lcc(Params const& params, Parameters& par, par_lcc<T>& proj_parm)
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{
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static const T fourth_pi = detail::fourth_pi<T>();
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static const T half_pi = detail::half_pi<T>();
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T cosphi, sinphi;
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int secant;
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proj_parm.phi1 = 0.0;
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proj_parm.phi2 = 0.0;
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bool is_phi1_set = pj_param_r<srs::spar::lat_1>(params, "lat_1", srs::dpar::lat_1, proj_parm.phi1);
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bool is_phi2_set = pj_param_r<srs::spar::lat_2>(params, "lat_2", srs::dpar::lat_2, proj_parm.phi2);
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// Boost.Geometry specific, set default parameters manually
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if (! is_phi1_set || ! is_phi2_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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if (!is_phi1_set) {
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proj_parm.phi1 = 33;
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is_phi1_set = true;
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}
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if (!is_phi2_set) {
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proj_parm.phi2 = 45;
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is_phi2_set = true;
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}
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}
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}
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if (! is_phi2_set) {
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proj_parm.phi2 = proj_parm.phi1;
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if (! pj_param_exists<srs::spar::lat_0>(params, "lat_0", srs::dpar::lat_0))
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par.phi0 = proj_parm.phi1;
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}
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if (fabs(proj_parm.phi1 + proj_parm.phi2) < epsilon10)
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BOOST_THROW_EXCEPTION( projection_exception(error_conic_lat_equal) );
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proj_parm.n = sinphi = sin(proj_parm.phi1);
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cosphi = cos(proj_parm.phi1);
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secant = fabs(proj_parm.phi1 - proj_parm.phi2) >= epsilon10;
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if( (proj_parm.ellips = (par.es != 0.)) ) {
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double ml1, m1;
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par.e = sqrt(par.es); // TODO: Isn't it already set?
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m1 = pj_msfn(sinphi, cosphi, par.es);
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ml1 = pj_tsfn(proj_parm.phi1, sinphi, par.e);
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if (secant) { /* secant cone */
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sinphi = sin(proj_parm.phi2);
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proj_parm.n = log(m1 / pj_msfn(sinphi, cos(proj_parm.phi2), par.es));
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proj_parm.n /= log(ml1 / pj_tsfn(proj_parm.phi2, sinphi, par.e));
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}
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proj_parm.c = (proj_parm.rho0 = m1 * math::pow(ml1, -proj_parm.n) / proj_parm.n);
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proj_parm.rho0 *= (fabs(fabs(par.phi0) - half_pi) < epsilon10) ? T(0) :
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math::pow(pj_tsfn(par.phi0, sin(par.phi0), par.e), proj_parm.n);
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} else {
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if (secant)
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proj_parm.n = log(cosphi / cos(proj_parm.phi2)) /
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log(tan(fourth_pi + .5 * proj_parm.phi2) /
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tan(fourth_pi + .5 * proj_parm.phi1));
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proj_parm.c = cosphi * math::pow(tan(fourth_pi + T(0.5) * proj_parm.phi1), proj_parm.n) / proj_parm.n;
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proj_parm.rho0 = (fabs(fabs(par.phi0) - half_pi) < epsilon10) ? 0. :
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proj_parm.c * math::pow(tan(fourth_pi + T(0.5) * par.phi0), -proj_parm.n);
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}
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}
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}} // namespace detail::lcc
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#endif // doxygen
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/*!
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\brief Lambert Conformal Conic 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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- Ellipsoid
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\par Projection parameters
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- lat_1: Latitude of first standard parallel (degrees)
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- lat_2: Latitude of second standard parallel (degrees)
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- lat_0: Latitude of origin
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\par Example
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\image html ex_lcc.gif
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*/
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template <typename T, typename Parameters>
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struct lcc_ellipsoid : public detail::lcc::base_lcc_ellipsoid<T, Parameters>
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{
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template <typename Params>
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inline lcc_ellipsoid(Params const& params, Parameters & par)
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{
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detail::lcc::setup_lcc(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_lcc, lcc_ellipsoid)
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// Factory entry(s)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(lcc_entry, lcc_ellipsoid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(lcc_init)
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{
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(lcc, lcc_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_LCC_HPP
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