ceph/src/boost/boost/geometry/srs/projections/impl/aasincos.hpp

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