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1 // Boost.Geometry (aka GGL, Generic Geometry Library)
2 // This file is manually converted from PROJ4
3 
4 // Copyright (c) 2008-2012 Barend Gehrels, Amsterdam, the Netherlands.
5 
6 // This file was modified by Oracle on 2018.
7 // Modifications copyright (c) 2018, Oracle and/or its affiliates.
8 // Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle
9 
10 // Use, modification and distribution is subject to the Boost Software License,
11 // Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
12 // http://www.boost.org/LICENSE_1_0.txt)
13 
14 // This file is converted from PROJ4, http://trac.osgeo.org/proj
15 // PROJ4 is originally written by Gerald Evenden (then of the USGS)
16 // PROJ4 is maintained by Frank Warmerdam
17 // PROJ4 is converted to Geometry Library by Barend Gehrels (Geodan, Amsterdam)
18 
19 // Original copyright notice:
20 
21 // Permission is hereby granted, free of charge, to any person obtaining a
22 // copy of this software and associated documentation files (the "Software"),
23 // to deal in the Software without restriction, including without limitation
24 // the rights to use, copy, modify, merge, publish, distribute, sublicense,
25 // and/or sell copies of the Software, and to permit persons to whom the
26 // Software is furnished to do so, subject to the following conditions:
27 
28 // The above copyright notice and this permission notice shall be included
29 // in all copies or substantial portions of the Software.
30 
31 // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
32 // OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
33 // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
34 // THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
35 // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
36 // FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
37 // DEALINGS IN THE SOFTWARE.
38 
39 #ifndef BOOST_GEOMETRY_PROJECTIONS_IMPL_AASINCOS_HPP
40 #define BOOST_GEOMETRY_PROJECTIONS_IMPL_AASINCOS_HPP
41 
42 
43 #include <cmath>
44 
45 #include <boost/geometry/srs/projections/exception.hpp>
46 #include <boost/geometry/srs/projections/impl/pj_strerrno.hpp>
47 #include <boost/geometry/util/math.hpp>
48 
49 
50 namespace boost { namespace geometry { namespace projections
51 {
52 
53 namespace detail
54 {
55 
56 namespace aasincos
57 {
58     template <typename T>
ONE_TOL()59     inline T ONE_TOL() { return 1.00000000000001; }
60     //template <typename T>
61     //inline T TOL() { return 0.000000001; }
62     template <typename T>
ATOL()63     inline T ATOL() { return 1e-50; }
64 }
65 
66 template <typename T>
aasin(T const & v)67 inline T aasin(T const& v)
68 {
69     T av = 0;
70 
71     if ((av = geometry::math::abs(v)) >= 1.0)
72     {
73         if (av > aasincos::ONE_TOL<T>())
74         {
75             BOOST_THROW_EXCEPTION( projection_exception(error_acos_asin_arg_too_large) );
76         }
77         return (v < 0.0 ? -geometry::math::half_pi<T>() : geometry::math::half_pi<T>());
78     }
79 
80     return asin(v);
81 }
82 
83 template <typename T>
aacos(T const & v)84 inline T aacos(T const& v)
85 {
86     T av = 0;
87 
88     if ((av = geometry::math::abs(v)) >= 1.0)
89     {
90         if (av > aasincos::ONE_TOL<T>())
91         {
92             BOOST_THROW_EXCEPTION( projection_exception(error_acos_asin_arg_too_large) );
93         }
94         return (v < 0.0 ? geometry::math::pi<T>() : 0.0);
95     }
96 
97     return acos(v);
98 }
99 
100 template <typename T>
asqrt(T const & v)101 inline T asqrt(T const& v)
102 {
103     return ((v <= 0) ? 0 : sqrt(v));
104 }
105 
106 template <typename T>
aatan2(T const & n,T const & d)107 inline T aatan2(T const& n, T const& d)
108 {
109     return ((geometry::math::abs(n) < aasincos::ATOL<T>()
110         && geometry::math::abs(d) < aasincos::ATOL<T>()) ? 0.0 : atan2(n, d));
111 }
112 
113 
114 } // namespace detail
115 
116 
117 }}} // namespace boost::geometry::projections
118 
119 
120 #endif // BOOST_GEOMETRY_PROJECTIONS_IMPL_AASINCOS_HPP
121