projections/impl/aasincos.hpp

0001 // Boost.Geometry (aka GGL, Generic Geometry Library)
0002 // This file is manually converted from PROJ4
0003
0004 // Copyright (c) 2008-2012 Barend Gehrels, Amsterdam, the Netherlands.
0005
0006 // This file was modified by Oracle on 2018.
0007 // Modifications copyright (c) 2018, Oracle and/or its affiliates.
0008 // Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle
0009
0010 // Use, modification and distribution is subject to the Boost Software License,
0011 // Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
0012 // http://www.boost.org/LICENSE_1_0.txt)
0013
0014 // This file is converted from PROJ4, http://trac.osgeo.org/proj
0015 // PROJ4 is originally written by Gerald Evenden (then of the USGS)
0016 // PROJ4 is maintained by Frank Warmerdam
0017 // PROJ4 is converted to Geometry Library by Barend Gehrels (Geodan, Amsterdam)
0018
0019 // Original copyright notice:
0020
0021 // Permission is hereby granted, free of charge, to any person obtaining a
0022 // copy of this software and associated documentation files (the "Software"),
0023 // to deal in the Software without restriction, including without limitation
0024 // the rights to use, copy, modify, merge, publish, distribute, sublicense,
0025 // and/or sell copies of the Software, and to permit persons to whom the
0026 // Software is furnished to do so, subject to the following conditions:
0027
0028 // The above copyright notice and this permission notice shall be included
0029 // in all copies or substantial portions of the Software.
0030
0031 // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
0032 // OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
0033 // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
0034 // THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
0035 // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
0036 // FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
0037 // DEALINGS IN THE SOFTWARE.
0038
0039 #ifndef BOOST_GEOMETRY_PROJECTIONS_IMPL_AASINCOS_HPP
0040 #define BOOST_GEOMETRY_PROJECTIONS_IMPL_AASINCOS_HPP
0041
0042
0043 #include <cmath>
0044
0045 #include <boost/geometry/srs/projections/exception.hpp>
0046 #include <boost/geometry/srs/projections/impl/pj_strerrno.hpp>
0047 #include <boost/geometry/util/math.hpp>
0048
0049
0050 namespace boost { namespace geometry { namespace projections
0051 {
0052
0053 namespace detail
0054 {
0055
0056 namespace aasincos
0057 {
0058     template <typename T>
0059     inline T ONE_TOL() { return 1.00000000000001; }
0060     //template <typename T>
0061     //inline T TOL() { return 0.000000001; }
0062     template <typename T>
0063     inline T ATOL() { return 1e-50; }
0064 }
0065
0066 template <typename T>
0067 inline T aasin(T const& v)
0068 {
0069     T av = 0;
0070
0071     if ((av = geometry::math::abs(v)) >= 1.0)
0072     {
0073         if (av > aasincos::ONE_TOL<T>())
0074         {
0075             BOOST_THROW_EXCEPTION( projection_exception(error_acos_asin_arg_too_large) );
0076         }
0077         return (v < 0.0 ? -geometry::math::half_pi<T>() : geometry::math::half_pi<T>());
0078     }
0079
0080     return asin(v);
0081 }
0082
0083 template <typename T>
0084 inline T aacos(T const& v)
0085 {
0086     T av = 0;
0087
0088     if ((av = geometry::math::abs(v)) >= 1.0)
0089     {
0090         if (av > aasincos::ONE_TOL<T>())
0091         {
0092             BOOST_THROW_EXCEPTION( projection_exception(error_acos_asin_arg_too_large) );
0093         }
0094         return (v < 0.0 ? geometry::math::pi<T>() : 0.0);
0095     }
0096
0097     return acos(v);
0098 }
0099
0100 template <typename T>
0101 inline T asqrt(T const& v)
0102 {
0103     return ((v <= 0) ? 0 : sqrt(v));
0104 }
0105
0106 template <typename T>
0107 inline T aatan2(T const& n, T const& d)
0108 {
0109     return ((geometry::math::abs(n) < aasincos::ATOL<T>()
0110         && geometry::math::abs(d) < aasincos::ATOL<T>()) ? 0.0 : atan2(n, d));
0111 }
0112
0113
0114 } // namespace detail
0115
0116
0117 }}} // namespace boost::geometry::projections
0118
0119
0120 #endif // BOOST_GEOMETRY_PROJECTIONS_IMPL_AASINCOS_HPP