103 lines
3.3 KiB
C++
103 lines
3.3 KiB
C++
|
// Boost.Geometry (aka GGL, Generic Geometry Library)
|
||
|
|
// This file is manually converted from PROJ4
|
||
|
|
|
||
|
|
// Copyright (c) 2008-2012 Barend Gehrels, Amsterdam, the Netherlands.
|
||
|
|
|
||
|
|
// This file was modified by Oracle on 2017, 2018.
|
||
|
|
// Modifications copyright (c) 2017-2018, Oracle and/or its affiliates.
|
||
|
|
// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle
|
||
|
|
|
||
|
|
// Use, modification and distribution is subject to the Boost Software License,
|
||
|
|
// Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
|
||
|
|
// http://www.boost.org/LICENSE_1_0.txt)
|
||
|
|
|
||
|
|
// This file is converted from PROJ4, http://trac.osgeo.org/proj
|
||
|
|
// PROJ4 is originally written by Gerald Evenden (then of the USGS)
|
||
|
|
// PROJ4 is maintained by Frank Warmerdam
|
||
|
|
// PROJ4 is converted to Geometry Library by Barend Gehrels (Geodan, Amsterdam)
|
||
|
|
|
||
|
|
// Original copyright notice:
|
||
|
|
|
||
|
|
// Permission is hereby granted, free of charge, to any person obtaining a
|
||
|
|
// copy of this software and associated documentation files (the "Software"),
|
||
|
|
// to deal in the Software without restriction, including without limitation
|
||
|
|
// the rights to use, copy, modify, merge, publish, distribute, sublicense,
|
||
|
|
// and/or sell copies of the Software, and to permit persons to whom the
|
||
|
|
// Software is furnished to do so, subject to the following conditions:
|
||
|
|
|
||
|
|
// The above copyright notice and this permission notice shall be included
|
||
|
|
// in all copies or substantial portions of the Software.
|
||
|
|
|
||
|
|
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
|
||
|
|
// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
|
||
|
|
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
|
||
|
|
// THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
|
||
|
|
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
|
||
|
|
// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
|
||
|
|
// DEALINGS IN THE SOFTWARE.
|
||
|
|
|
||
|
|
#ifndef BOOST_GEOMETRY_PROJECTIONS_IMPL_PJ_AUTH_HPP
|
||
|
|
#define BOOST_GEOMETRY_PROJECTIONS_IMPL_PJ_AUTH_HPP
|
||
|
|
|
||
|
|
#include <cassert>
|
||
|
|
#include <cmath>
|
||
|
|
|
||
|
|
#include <boost/geometry/core/assert.hpp>
|
||
|
|
|
||
|
|
namespace boost { namespace geometry { namespace projections {
|
||
|
|
|
||
|
|
namespace detail {
|
||
|
|
|
||
|
|
template <typename T>
|
||
|
|
struct apa
|
||
|
|
{
|
||
|
|
static const std::size_t size = 3;
|
||
|
|
|
||
|
|
T const& operator[](size_t i) const { return data[i]; }
|
||
|
|
T & operator[](size_t i) { return data[i]; }
|
||
|
|
|
||
|
|
private:
|
||
|
|
T data[3];
|
||
|
|
};
|
||
|
|
|
||
|
|
/* determine latitude from authalic latitude */
|
||
|
|
template <typename T>
|
||
|
|
inline detail::apa<T> pj_authset(T const& es)
|
||
|
|
{
|
||
|
|
static const T P00 = .33333333333333333333;
|
||
|
|
static const T P01 = .17222222222222222222;
|
||
|
|
static const T P02 = .10257936507936507936;
|
||
|
|
static const T P10 = .06388888888888888888;
|
||
|
|
static const T P11 = .06640211640211640211;
|
||
|
|
static const T P20 = .01641501294219154443;
|
||
|
|
|
||
|
|
T t = 0;
|
||
|
|
detail::apa<T> apa;
|
||
|
|
|
||
|
|
{
|
||
|
|
apa[0] = es * P00;
|
||
|
|
t = es * es;
|
||
|
|
apa[0] += t * P01;
|
||
|
|
apa[1] = t * P10;
|
||
|
|
t *= es;
|
||
|
|
apa[0] += t * P02;
|
||
|
|
apa[1] += t * P11;
|
||
|
|
apa[2] = t * P20;
|
||
|
|
}
|
||
|
|
|
||
|
|
return apa;
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename T>
|
||
|
|
inline T pj_authlat(T const& beta, detail::apa<T> const& apa)
|
||
|
|
{
|
||
|
|
T const t = beta + beta;
|
||
|
|
|
||
|
|
return(beta + apa[0] * sin(t) + apa[1] * sin(t + t) + apa[2] * sin(t + t + t));
|
||
|
|
}
|
||
|
|
|
||
|
|
} // namespace detail
|
||
|
|
}}} // namespace boost::geometry::projections
|
||
|
|
|
||
|
|
#endif // BOOST_GEOMETRY_PROJECTIONS_IMPL_PJ_AUTH_HPP
|