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// 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.
// Modifications copyright (c) 2017, 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_PJ_MLFN_HPP
#define BOOST_GEOMETRY_PROJECTIONS_PJ_MLFN_HPP
#include <boost/geometry/util/math.hpp>
namespace boost { namespace geometry { namespace projections {
namespace detail {
static const int EN_SIZE = 5;
template <typename T>
inline bool pj_enfn(T const& es, T* en)
{
static const T C00 = 1.;
static const T C02 = .25;
static const T C04 = .046875;
static const T C06 = .01953125;
static const T C08 = .01068115234375;
static const T C22 = .75;
static const T C44 = .46875;
static const T C46 = .01302083333333333333;
static const T C48 = .00712076822916666666;
static const T C66 = .36458333333333333333;
static const T C68 = .00569661458333333333;
static const T C88 = .3076171875;
T t; //, *en;
//if (en = (double *)pj_malloc(EN_SIZE * sizeof(double)))
{
en[0] = C00 - es * (C02 + es * (C04 + es * (C06 + es * C08)));
en[1] = es * (C22 - es * (C04 + es * (C06 + es * C08)));
en[2] = (t = es * es) * (C44 - es * (C46 + es * C48));
en[3] = (t *= es) * (C66 - es * C68);
en[4] = t * es * C88;
}
// return en;
return true;
}
template <typename T>
inline T pj_mlfn(T const& phi, T sphi, T cphi, const T *en)
{
cphi *= sphi;
sphi *= sphi;
return(en[0] * phi - cphi * (en[1] + sphi*(en[2]
+ sphi*(en[3] + sphi*en[4]))));
}
template <typename T>
inline T pj_inv_mlfn(T const& arg, T const& es, const T *en)
{
/* meridinal distance for ellipsoid and inverse
** 8th degree - accurate to < 1e-5 meters when used in conjuction
** with typical major axis values.
** Inverse determines phi to EPS (1e-11) radians, about 1e-6 seconds.
*/
static const T EPS = 1e-11;
static const int MAX_ITER = 10;
T s, t, phi, k = 1./(1.-es);
int i;
phi = arg;
for (i = MAX_ITER; i ; --i) { /* rarely goes over 2 iterations */
s = sin(phi);
t = 1. - es * s * s;
phi -= t = (pj_mlfn(phi, s, cos(phi), en) - arg) * (t * sqrt(t)) * k;
if (geometry::math::abs(t) < EPS)
return phi;
}
BOOST_THROW_EXCEPTION( projection_exception(-17) );
return phi;
}
} // namespace detail
}}} // namespace boost::geometry::projections
#endif
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