gauss_kronrod_constants.cpp 8.7 KB

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  1. // Copyright (c) 2017 John Maddock
  2. // Use, modification and distribution are subject to the
  3. // Boost Software License, Version 1.0. (See accompanying file
  4. // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
  5. #include <boost/math/quadrature/gauss_kronrod.hpp>
  6. #include <boost/multiprecision/cpp_bin_float.hpp>
  7. template <class T>
  8. void print_gauss_constants(const char* suffix, int prec, int tag)
  9. {
  10. auto ab = T::abscissa();
  11. auto w = T::weights();
  12. std::cout << std::setprecision(prec) << std::scientific;
  13. std::size_t order = (ab[0] == 0) ? (ab.size() * 2) - 1 : ab.size() * 2;
  14. std::cout <<
  15. "template <class T>\n"
  16. "class gauss_detail<T, " << order << ", " << tag << ">\n"
  17. " {\n"
  18. " public:\n"
  19. " static " << (prec > 40 ? " " : "constexpr ") << "std::array<T, " << ab.size() << "> const & abscissa()\n"
  20. " {\n"
  21. " static " << (prec > 40 ? " " : "constexpr ") << "std::array<T, " << ab.size() << "> data = {\n";
  22. for (unsigned i = 0; i < ab.size(); ++i)
  23. std::cout << " " << (prec > 40 ? "BOOST_MATH_HUGE_CONSTANT(T, 0, " : "") << ab[i] << (prec > 40 ? ")" : suffix) << ",\n";
  24. std::cout <<
  25. "};\n"
  26. " return data;\n"
  27. " }\n"
  28. " static " << (prec > 40 ? " " : "constexpr ") << "std::array<T, " << w.size() << "> const & weights()\n"
  29. " {\n"
  30. " static " << (prec > 40 ? " " : "constexpr ") << "std::array<T, " << w.size() << "> data = {\n";
  31. for (unsigned i = 0; i < w.size(); ++i)
  32. std::cout << " " << (prec > 40 ? "BOOST_MATH_HUGE_CONSTANT(T, 0, " : "") << w[i] << (prec > 40 ? ")" : suffix) << ",\n";
  33. std::cout << " };\n"
  34. " return data;\n"
  35. " }\n"
  36. " };\n\n";
  37. }
  38. template <class T>
  39. void print_gauss_kronrod_constants(const char* suffix, int prec, int tag)
  40. {
  41. auto ab = T::abscissa();
  42. auto w = T::weights();
  43. std::cout << std::setprecision(prec) << std::scientific;
  44. std::size_t order = (ab.size() * 2) - 1;
  45. std::cout <<
  46. " template <class T>\n"
  47. " class gauss_kronrod_detail<T, " << order << ", " << tag << ">\n"
  48. " {\n"
  49. " public:\n"
  50. " static " << (prec > 40 ? " " : "constexpr ") << "std::array<T, " << ab.size() << "> const & abscissa()\n"
  51. " {\n"
  52. " static " << (prec > 40 ? " " : "constexpr ") << "std::array<T, " << ab.size() << "> data = {\n";
  53. for (unsigned i = 0; i < ab.size(); ++i)
  54. std::cout << " " << (prec > 40 ? "BOOST_MATH_HUGE_CONSTANT(T, 0, " : "") << ab[i] << (prec > 40 ? ")" : suffix) << ",\n";
  55. std::cout << " };\n"
  56. " return data;\n"
  57. " }\n"
  58. " static " << (prec > 40 ? " " : "constexpr ") << "std::array<T, " << w.size() << "> const & weights()\n"
  59. " {\n"
  60. " static " << (prec > 40 ? " " : "constexpr ") << "std::array<T, " << w.size() << "> data = {\n";
  61. for (unsigned i = 0; i < w.size(); ++i)
  62. std::cout << " " << (prec > 40 ? "BOOST_MATH_HUGE_CONSTANT(T, 0, " : "") << w[i] << (prec > 40 ? ")" : suffix) << ",\n";
  63. std::cout << " };\n"
  64. " return data;\n"
  65. " }\n"
  66. " };\n\n";
  67. }
  68. int main()
  69. {
  70. typedef boost::multiprecision::number<boost::multiprecision::cpp_bin_float<250> > mp_type;
  71. print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("f", 9, 0);
  72. print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("", 17, 1);
  73. print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("L", 35, 2);
  74. print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("Q", 35, 3);
  75. print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("", 115, 4);
  76. print_gauss_constants<boost::math::quadrature::gauss<mp_type, 10> >("f", 9, 0);
  77. print_gauss_constants<boost::math::quadrature::gauss<mp_type, 10> >("", 17, 1);
  78. print_gauss_constants<boost::math::quadrature::gauss<mp_type, 10> >("L", 35, 2);
  79. print_gauss_constants<boost::math::quadrature::gauss<mp_type, 10> >("Q", 35, 3);
  80. print_gauss_constants<boost::math::quadrature::gauss<mp_type, 10> >("", 115, 4);
  81. print_gauss_constants<boost::math::quadrature::gauss<mp_type, 15> >("f", 9, 0);
  82. print_gauss_constants<boost::math::quadrature::gauss<mp_type, 15> >("", 17, 1);
  83. print_gauss_constants<boost::math::quadrature::gauss<mp_type, 15> >("L", 35, 2);
  84. print_gauss_constants<boost::math::quadrature::gauss<mp_type, 15> >("Q", 35, 3);
  85. print_gauss_constants<boost::math::quadrature::gauss<mp_type, 15> >("", 115, 4);
  86. print_gauss_constants<boost::math::quadrature::gauss<mp_type, 20> >("f", 9, 0);
  87. print_gauss_constants<boost::math::quadrature::gauss<mp_type, 20> >("", 17, 1);
  88. print_gauss_constants<boost::math::quadrature::gauss<mp_type, 20> >("L", 35, 2);
  89. print_gauss_constants<boost::math::quadrature::gauss<mp_type, 20> >("Q", 35, 3);
  90. print_gauss_constants<boost::math::quadrature::gauss<mp_type, 20> >("", 115, 4);
  91. print_gauss_constants<boost::math::quadrature::gauss<mp_type, 25> >("f", 9, 0);
  92. print_gauss_constants<boost::math::quadrature::gauss<mp_type, 25> >("", 17, 1);
  93. print_gauss_constants<boost::math::quadrature::gauss<mp_type, 25> >("L", 35, 2);
  94. print_gauss_constants<boost::math::quadrature::gauss<mp_type, 25> >("Q", 35, 3);
  95. print_gauss_constants<boost::math::quadrature::gauss<mp_type, 25> >("", 115, 4);
  96. print_gauss_constants<boost::math::quadrature::gauss<mp_type, 30> >("f", 9, 0);
  97. print_gauss_constants<boost::math::quadrature::gauss<mp_type, 30> >("", 17, 1);
  98. print_gauss_constants<boost::math::quadrature::gauss<mp_type, 30> >("L", 35, 2);
  99. print_gauss_constants<boost::math::quadrature::gauss<mp_type, 30> >("Q", 35, 3);
  100. print_gauss_constants<boost::math::quadrature::gauss<mp_type, 30> >("", 115, 4);
  101. print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 15> >("f", 9, 0);
  102. print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 15> >("", 17, 1);
  103. print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 15> >("L", 35, 2);
  104. print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 15> >("Q", 35, 3);
  105. print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 15> >("", 115, 4);
  106. print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 21> >("f", 9, 0);
  107. print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 21> >("", 17, 1);
  108. print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 21> >("L", 35, 2);
  109. print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 21> >("Q", 35, 3);
  110. print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 21> >("", 115, 4);
  111. print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 31> >("f", 9, 0);
  112. print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 31> >("", 17, 1);
  113. print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 31> >("L", 35, 2);
  114. print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 31> >("Q", 35, 3);
  115. print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 31> >("", 115, 4);
  116. print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 41> >("f", 9, 0);
  117. print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 41> >("", 17, 1);
  118. print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 41> >("L", 35, 2);
  119. print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 41> >("Q", 35, 3);
  120. print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 41> >("", 115, 4);
  121. print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 51> >("f", 9, 0);
  122. print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 51> >("", 17, 1);
  123. print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 51> >("L", 35, 2);
  124. print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 51> >("Q", 35, 3);
  125. print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 51> >("", 115, 4);
  126. print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 61> >("f", 9, 0);
  127. print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 61> >("", 17, 1);
  128. print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 61> >("L", 35, 2);
  129. print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 61> >("Q", 35, 3);
  130. print_gauss_kronrod_constants<boost::math::quadrature::gauss_kronrod<mp_type, 61> >("", 115, 4);
  131. return 0;
  132. }