107 lines
3.6 KiB
C++
107 lines
3.6 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_ZPOLY1_HPP
|
||
|
|
#define BOOST_GEOMETRY_PROJECTIONS_ZPOLY1_HPP
|
||
|
|
|
||
|
|
|
||
|
|
#include <boost/geometry/srs/projections/impl/projects.hpp>
|
||
|
|
|
||
|
|
|
||
|
|
namespace boost { namespace geometry { namespace projections { namespace detail {
|
||
|
|
|
||
|
|
/* evaluate complex polynomial */
|
||
|
|
|
||
|
|
/* note: coefficients are always from C_1 to C_n
|
||
|
|
** i.e. C_0 == (0., 0)
|
||
|
|
** n should always be >= 1 though no checks are made
|
||
|
|
*/
|
||
|
|
template <typename T>
|
||
|
|
inline pj_complex<T>
|
||
|
|
pj_zpoly1(pj_complex<T> z, const pj_complex<T> *C, int n)
|
||
|
|
{
|
||
|
|
pj_complex<T> a;
|
||
|
|
T t;
|
||
|
|
|
||
|
|
a = *(C += n);
|
||
|
|
while (n-- > 0)
|
||
|
|
{
|
||
|
|
a.r = (--C)->r + z.r * (t = a.r) - z.i * a.i;
|
||
|
|
a.i = C->i + z.r * a.i + z.i * t;
|
||
|
|
}
|
||
|
|
a.r = z.r * (t = a.r) - z.i * a.i;
|
||
|
|
a.i = z.r * a.i + z.i * t;
|
||
|
|
return a;
|
||
|
|
}
|
||
|
|
|
||
|
|
/* evaluate complex polynomial and derivative */
|
||
|
|
template <typename T>
|
||
|
|
inline pj_complex<T>
|
||
|
|
pj_zpolyd1(pj_complex<T> z, const pj_complex<T> *C, int n, pj_complex<T> *der)
|
||
|
|
{
|
||
|
|
T t;
|
||
|
|
bool first = true;
|
||
|
|
|
||
|
|
pj_complex<T> a = *(C += n);
|
||
|
|
pj_complex<T> b = a;
|
||
|
|
while (n-- > 0)
|
||
|
|
{
|
||
|
|
if (first)
|
||
|
|
{
|
||
|
|
first = false;
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
b.r = a.r + z.r * (t = b.r) - z.i * b.i;
|
||
|
|
b.i = a.i + z.r * b.i + z.i * t;
|
||
|
|
}
|
||
|
|
a.r = (--C)->r + z.r * (t = a.r) - z.i * a.i;
|
||
|
|
a.i = C->i + z.r * a.i + z.i * t;
|
||
|
|
}
|
||
|
|
b.r = a.r + z.r * (t = b.r) - z.i * b.i;
|
||
|
|
b.i = a.i + z.r * b.i + z.i * t;
|
||
|
|
a.r = z.r * (t = a.r) - z.i * a.i;
|
||
|
|
a.i = z.r * a.i + z.i * t;
|
||
|
|
*der = b;
|
||
|
|
return a;
|
||
|
|
}
|
||
|
|
|
||
|
|
}}}} // namespace boost::geometry::projections::detail
|
||
|
|
|
||
|
|
#endif
|