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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_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 COMPLEX<T>
pj_zpoly1(COMPLEX<T> z, const COMPLEX<T> *C, int n)
{
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 COMPLEX<T>
pj_zpolyd1(COMPLEX<T> z, const COMPLEX<T> *C, int n, COMPLEX<T> *der)
{
T t;
bool first = true;
COMPLEX<T> a = *(C += n);
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
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