aasincos.hpp 3.5 KB

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