// Boost.Geometry (aka GGL, Generic Geometry Library)
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// This file is manually converted from PROJ4
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// Copyright (c) 2008-2012 Barend Gehrels, Amsterdam, the Netherlands.
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// This file was modified by Oracle on 2017, 2018.
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// Modifications copyright (c) 2017-2018, 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 Geometry Library by Barend Gehrels (Geodan, Amsterdam)
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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_IMPL_PJ_AUTH_HPP
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#define BOOST_GEOMETRY_PROJECTIONS_IMPL_PJ_AUTH_HPP
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#include <cassert>
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#include <cmath>
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#include <boost/geometry/core/assert.hpp>
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namespace boost { namespace geometry { namespace projections {
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namespace detail {
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template <typename T>
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struct apa
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{
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static const std::size_t size = 3;
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T const& operator[](size_t i) const { return data[i]; }
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T & operator[](size_t i) { return data[i]; }
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private:
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T data[3];
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};
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/* determine latitude from authalic latitude */
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template <typename T>
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inline detail::apa<T> pj_authset(T const& es)
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{
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static const T P00 = .33333333333333333333;
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static const T P01 = .17222222222222222222;
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static const T P02 = .10257936507936507936;
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static const T P10 = .06388888888888888888;
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static const T P11 = .06640211640211640211;
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static const T P20 = .01641501294219154443;
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T t = 0;
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detail::apa<T> apa;
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{
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apa[0] = es * P00;
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t = es * es;
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apa[0] += t * P01;
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apa[1] = t * P10;
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t *= es;
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apa[0] += t * P02;
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apa[1] += t * P11;
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apa[2] = t * P20;
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}
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return apa;
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}
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template <typename T>
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inline T pj_authlat(T const& beta, detail::apa<T> const& apa)
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{
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T const t = beta + beta;
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return(beta + apa[0] * sin(t) + apa[1] * sin(t + t) + apa[2] * sin(t + t + t));
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}
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} // namespace detail
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}}} // namespace boost::geometry::projections
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#endif // BOOST_GEOMETRY_PROJECTIONS_IMPL_PJ_AUTH_HPP
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