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toolchain-gcc-arm-embedded/arm-none-eabi/include/c++/10.2.1/ext/cmath

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  1. // Math extensions -*- C++ -*-

  2. 

  3. // Copyright (C) 2013-2020 Free Software Foundation, Inc.

  4. //

  5. // This file is part of the GNU ISO C++ Library.  This library is free

  6. // software; you can redistribute it and/or modify it under the

  7. // terms of the GNU General Public License as published by the

  8. // Free Software Foundation; either version 3, or (at your option)

  9. // any later version.

  10. 

  11. // This library is distributed in the hope that it will be useful,

  12. // but WITHOUT ANY WARRANTY; without even the implied warranty of

  13. // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the

  14. // GNU General Public License for more details.

  15. 

  16. // Under Section 7 of GPL version 3, you are granted additional

  17. // permissions described in the GCC Runtime Library Exception, version

  18. // 3.1, as published by the Free Software Foundation.

  19. 

  20. // You should have received a copy of the GNU General Public License and

  21. // a copy of the GCC Runtime Library Exception along with this program;

  22. // see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see

  23. // <http://www.gnu.org/licenses/>.

  24. 

  25. /** @file ext/cmath

  26.  *  This file is a GNU extension to the Standard C++ Library.

  27.  */

  28. 

  29. #ifndef _EXT_CMATH

  30. #define _EXT_CMATH 1

  31. 

  32. #pragma GCC system_header

  33. 

  34. #if __cplusplus < 201103L

  35. # include <bits/c++0x_warning.h>

  36. #else

  37. 

  38. #include <cmath>

  39. #include <type_traits>

  40. 

  41. namespace __gnu_cxx _GLIBCXX_VISIBILITY(default)

  42. {

  43. _GLIBCXX_BEGIN_NAMESPACE_VERSION

  44. 

  45.   // A class for math constants.

  46.   template<typename _RealType>

  47.     struct __math_constants

  48.     {

  49.       static_assert(std::is_floating_point<_RealType>::value,

  50. 		    "template argument not a floating point type");

  51. 

  52.       // Constant @f$ \pi @f$.

  53.       static constexpr _RealType __pi = 3.1415926535897932384626433832795029L;

  54.       // Constant @f$ \pi / 2 @f$.

  55.       static constexpr _RealType __pi_half = 1.5707963267948966192313216916397514L;

  56.       // Constant @f$ \pi / 3 @f$.

  57.       static constexpr _RealType __pi_third = 1.0471975511965977461542144610931676L;

  58.       // Constant @f$ \pi / 4 @f$.

  59.       static constexpr _RealType __pi_quarter = 0.7853981633974483096156608458198757L;

  60.       // Constant @f$ \sqrt(\pi / 2) @f$.

  61.       static constexpr _RealType __root_pi_div_2 = 1.2533141373155002512078826424055226L;

  62.       // Constant @f$ 1 / \pi @f$.

  63.       static constexpr _RealType __one_div_pi = 0.3183098861837906715377675267450287L;

  64.       // Constant @f$ 2 / \pi @f$.

  65.       static constexpr _RealType __two_div_pi = 0.6366197723675813430755350534900574L;

  66.       // Constant @f$ 2 / \sqrt(\pi) @f$.

  67.       static constexpr _RealType __two_div_root_pi = 1.1283791670955125738961589031215452L;

  68. 

  69.       // Constant Euler's number @f$ e @f$.

  70.       static constexpr _RealType __e = 2.7182818284590452353602874713526625L;

  71.       // Constant @f$ 1 / e @f$.

  72.       static constexpr _RealType __one_div_e = 0.36787944117144232159552377016146087L;

  73.       // Constant @f$ \log_2(e) @f$.

  74.       static constexpr _RealType __log2_e = 1.4426950408889634073599246810018921L;

  75.       // Constant @f$ \log_10(e) @f$.

  76.       static constexpr _RealType __log10_e = 0.4342944819032518276511289189166051L;

  77.       // Constant @f$ \ln(2) @f$.

  78.       static constexpr _RealType __ln_2 = 0.6931471805599453094172321214581766L;

  79.       // Constant @f$ \ln(3) @f$.

  80.       static constexpr _RealType __ln_3 = 1.0986122886681096913952452369225257L;

  81.       // Constant @f$ \ln(10) @f$.

  82.       static constexpr _RealType __ln_10 = 2.3025850929940456840179914546843642L;

  83. 

  84.       // Constant Euler-Mascheroni @f$ \gamma_E @f$.

  85.       static constexpr _RealType __gamma_e = 0.5772156649015328606065120900824024L;

  86.       // Constant Golden Ratio @f$ \phi @f$.

  87.       static constexpr _RealType __phi = 1.6180339887498948482045868343656381L;

  88. 

  89.       // Constant @f$ \sqrt(2) @f$.

  90.       static constexpr _RealType __root_2 = 1.4142135623730950488016887242096981L;

  91.       // Constant @f$ \sqrt(3) @f$.

  92.       static constexpr _RealType __root_3 = 1.7320508075688772935274463415058724L;

  93.       // Constant @f$ \sqrt(5) @f$.

  94.       static constexpr _RealType __root_5 = 2.2360679774997896964091736687312762L;

  95.       // Constant @f$ \sqrt(7) @f$.

  96.       static constexpr _RealType __root_7 = 2.6457513110645905905016157536392604L;

  97.       // Constant @f$ 1 / \sqrt(2) @f$.

  98.       static constexpr _RealType __one_div_root_2 = 0.7071067811865475244008443621048490L;

  99.     };

  100. 

  101.   // And the template definitions for the constants.

  102.   template<typename _RealType>

  103.     constexpr _RealType __math_constants<_RealType>::__pi;

  104.   template<typename _RealType>

  105.     constexpr _RealType __math_constants<_RealType>::__pi_half;

  106.   template<typename _RealType>

  107.     constexpr _RealType __math_constants<_RealType>::__pi_third;

  108.   template<typename _RealType>

  109.     constexpr _RealType __math_constants<_RealType>::__pi_quarter;

  110.   template<typename _RealType>

  111.     constexpr _RealType __math_constants<_RealType>::__root_pi_div_2;

  112.   template<typename _RealType>

  113.     constexpr _RealType __math_constants<_RealType>::__one_div_pi;

  114.   template<typename _RealType>

  115.     constexpr _RealType __math_constants<_RealType>::__two_div_pi;

  116.   template<typename _RealType>

  117.     constexpr _RealType __math_constants<_RealType>::__two_div_root_pi;

  118.   template<typename _RealType>

  119.     constexpr _RealType __math_constants<_RealType>::__e;

  120.   template<typename _RealType>

  121.     constexpr _RealType __math_constants<_RealType>::__one_div_e;

  122.   template<typename _RealType>

  123.     constexpr _RealType __math_constants<_RealType>::__log2_e;

  124.   template<typename _RealType>

  125.     constexpr _RealType __math_constants<_RealType>::__log10_e;

  126.   template<typename _RealType>

  127.     constexpr _RealType __math_constants<_RealType>::__ln_2;

  128.   template<typename _RealType>

  129.     constexpr _RealType __math_constants<_RealType>::__ln_3;

  130.   template<typename _RealType>

  131.     constexpr _RealType __math_constants<_RealType>::__ln_10;

  132.   template<typename _RealType>

  133.     constexpr _RealType __math_constants<_RealType>::__gamma_e;

  134.   template<typename _RealType>

  135.     constexpr _RealType __math_constants<_RealType>::__phi;

  136.   template<typename _RealType>

  137.     constexpr _RealType __math_constants<_RealType>::__root_2;

  138.   template<typename _RealType>

  139.     constexpr _RealType __math_constants<_RealType>::__root_3;

  140.   template<typename _RealType>

  141.     constexpr _RealType __math_constants<_RealType>::__root_5;

  142.   template<typename _RealType>

  143.     constexpr _RealType __math_constants<_RealType>::__root_7;

  144.   template<typename _RealType>

  145.     constexpr _RealType __math_constants<_RealType>::__one_div_root_2;

  146. 

  147. _GLIBCXX_END_NAMESPACE_VERSION

  148. } // namespace __gnu_cxx

  149. 

  150. #endif // C++11

  151. 

  152. #endif // _EXT_CMATH