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Diffstat (limited to 'boost/geometry/srs/projections/impl/pj_gauss.hpp')
-rw-r--r-- | boost/geometry/srs/projections/impl/pj_gauss.hpp | 142 |
1 files changed, 142 insertions, 0 deletions
diff --git a/boost/geometry/srs/projections/impl/pj_gauss.hpp b/boost/geometry/srs/projections/impl/pj_gauss.hpp new file mode 100644 index 0000000000..2c90870434 --- /dev/null +++ b/boost/geometry/srs/projections/impl/pj_gauss.hpp @@ -0,0 +1,142 @@ +// 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_IMPL_PJ_GAUSS_HPP +#define BOOST_GEOMETRY_PROJECTIONS_IMPL_PJ_GAUSS_HPP + + +#include <boost/geometry/util/math.hpp> + + +namespace boost { namespace geometry { namespace projections { + +namespace detail { namespace gauss { + + +static const int MAX_ITER = 20; + +template <typename T> +struct GAUSS +{ + T C; + T K; + T e; + T ratexp; +}; + +template <typename T> +inline T srat(T const& esinp, T const& exp) +{ + return (pow((1.0 - esinp) / (1.0 + esinp), exp)); +} + +template <typename T> +inline GAUSS<T> gauss_ini(T const& e, T const& phi0, T& chi, T& rc) +{ + static const T FORTPI = detail::FORTPI<T>(); + + using std::asin; + using std::cos; + using std::sin; + using std::sqrt; + using std::tan; + + T sphi = 0; + T cphi = 0; + T es = 0; + + GAUSS<T> en; + es = e * e; + en.e = e; + sphi = sin(phi0); + cphi = cos(phi0); + cphi *= cphi; + + rc = sqrt(1.0 - es) / (1.0 - es * sphi * sphi); + en.C = sqrt(1.0 + es * cphi * cphi / (1.0 - es)); + chi = asin(sphi / en.C); + en.ratexp = 0.5 * en.C * e; + en.K = tan(0.5 * chi + FORTPI) + / (pow(tan(0.5 * phi0 + FORTPI), en.C) * srat(en.e * sphi, en.ratexp)); + + return en; +} + +template <typename T> +inline void gauss(GAUSS<T> const& en, T& lam, T& phi) +{ + static const T FORTPI = detail::FORTPI<T>(); + + phi = 2.0 * atan(en.K * pow(tan(0.5 * phi + FORTPI), en.C) + * srat(en.e * sin(phi), en.ratexp) ) - geometry::math::half_pi<T>(); + + lam *= en.C; +} + +template <typename T> +inline void inv_gauss(GAUSS<T> const& en, T& lam, T& phi) +{ + static const T FORTPI = detail::FORTPI<T>(); + static const T DEL_TOL = 1e-14; + + lam /= en.C; + const T num = pow(tan(0.5 * phi + FORTPI) / en.K, 1.0 / en.C); + + int i = 0; + for (i = MAX_ITER; i; --i) + { + const T elp_phi = 2.0 * atan(num * srat(en.e * sin(phi), - 0.5 * en.e)) - geometry::math::half_pi<T>(); + + if (geometry::math::abs(elp_phi - phi) < DEL_TOL) + { + break; + } + phi = elp_phi; + } + + /* convergence failed */ + if (!i) + { + BOOST_THROW_EXCEPTION( projection_exception(-17) ); + } +} + +}} // namespace detail::gauss +}}} // namespace boost::geometry::projections + +#endif // BOOST_GEOMETRY_PROJECTIONS_IMPL_PJ_GAUSS_HPP |