Initial commit

libs/math/tools/bessel_derivative_data.cpp

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+//  Copyright (c) 2014 Anton Bikineev
+//  Use, modification and distribution are subject to the
+//  Boost Software License, Version 1.0. (See accompanying file
+//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+//  Computes test data for the derivatives of the
+//  various bessel functions. Results of derivatives
+//  are generated by the relations between the derivatives
+//  and Bessel functions, which actual implementation
+//  doesn't use. Results are printed to ~ 50 digits.
+//
+#include <fstream>
+
+#include <boost/multiprecision/mpfr.hpp>
+#include <boost/math/tools/test_data.hpp>
+#include <boost/test/included/prg_exec_monitor.hpp>
+
+#include <boost/math/special_functions/bessel.hpp>
+
+using namespace boost::math::tools;
+using namespace boost::math;
+using namespace std;
+using namespace boost::multiprecision;
+
+template <class T>
+T bessel_j_derivative_bare(T v, T x)
+{
+   return (v / x) * boost::math::cyl_bessel_j(v, x) - boost::math::cyl_bessel_j(v+1, x);
+}
+
+template <class T>
+T bessel_y_derivative_bare(T v, T x)
+{
+   return (v / x) * boost::math::cyl_neumann(v, x) - boost::math::cyl_neumann(v+1, x);
+}
+
+template <class T>
+T bessel_i_derivative_bare(T v, T x)
+{
+   return (v / x) * boost::math::cyl_bessel_i(v, x) + boost::math::cyl_bessel_i(v+1, x);
+}
+
+template <class T>
+T bessel_k_derivative_bare(T v, T x)
+{
+   return (v / x) * boost::math::cyl_bessel_k(v, x) - boost::math::cyl_bessel_k(v+1, x);
+}
+
+template <class T>
+T sph_bessel_j_derivative_bare(T v, T x)
+{
+   if((v < 0) || (floor(v) != v))
+      throw std::domain_error("");
+   if(v == 0)
+      return -boost::math::sph_bessel(1, x);
+   return boost::math::sph_bessel(itrunc(v-1), x) - ((v + 1) / x) * boost::math::sph_bessel(itrunc(v), x);
+}
+
+template <class T>
+T sph_bessel_y_derivative_bare(T v, T x)
+{
+   if((v < 0) || (floor(v) != v))
+      throw std::domain_error("");
+   if(v == 0)
+      return -boost::math::sph_neumann(1, x);
+   return boost::math::sph_neumann(itrunc(v-1), x) - ((v + 1) / x) * boost::math::sph_neumann(itrunc(v), x);
+}
+
+enum
+{
+   func_J = 0,
+   func_Y,
+   func_I,
+   func_K,
+   func_j,
+   func_y
+};
+
+int cpp_main(int argc, char*argv [])
+{
+   typedef number<mpfr_float_backend<200> > bignum;
+
+   parameter_info<bignum> arg1, arg2;
+   test_data<bignum> data;
+
+   int functype = 0;
+   std::string letter = "J";
+
+   if(argc == 2)
+   {
+      if(std::strcmp(argv[1], "--Y") == 0)
+      {
+         functype = func_Y;
+         letter = "Y";
+      }
+      else if(std::strcmp(argv[1], "--I") == 0)
+      {
+         functype = func_I;
+         letter = "I";
+      }
+      else if(std::strcmp(argv[1], "--K") == 0)
+      {
+         functype = func_K;
+         letter = "K";
+      }
+      else if(std::strcmp(argv[1], "--j") == 0)
+      {
+         functype = func_j;
+         letter = "j";
+      }
+      else if(std::strcmp(argv[1], "--y") == 0)
+      {
+         functype = func_y;
+         letter = "y";
+      }
+      else
+         assert(0);
+   }
+
+   bool cont;
+   std::string line;
+
+   std::cout << "Welcome.\n"
+      "This program will generate spot tests for the Bessel " << letter << " function derivative\n\n";
+   do{
+      if(0 == get_user_parameter_info(arg1, "a"))
+         return 1;
+      if(0 == get_user_parameter_info(arg2, "b"))
+         return 1;
+
+      bignum (*fp)(bignum, bignum) = 0;
+      if(functype == func_J)
+         fp = bessel_j_derivative_bare;
+      else if(functype == func_I)
+         fp = bessel_i_derivative_bare;
+      else if(functype == func_K)
+         fp = bessel_k_derivative_bare;
+      else if(functype == func_Y)
+         fp = bessel_y_derivative_bare;
+      else if(functype == func_j)
+         fp = sph_bessel_j_derivative_bare;
+      else if(functype == func_y)
+         fp = sph_bessel_y_derivative_bare;
+      else
+         assert(0);
+
+      data.insert(fp, arg2, arg1);
+
+      std::cout << "Any more data [y/n]?";
+      std::getline(std::cin, line);
+      boost::algorithm::trim(line);
+      cont = (line == "y");
+   }while(cont);
+
+   std::cout << "Enter name of test data file [default=bessel_j_derivative_data.ipp]";
+   std::getline(std::cin, line);
+   boost::algorithm::trim(line);
+   if(line == "")
+      line = "bessel_j_derivative_data.ipp";
+   std::ofstream ofs(line.c_str());
+   line.erase(line.find('.'));
+   ofs << std::scientific << std::setprecision(50);
+   write_code(ofs, data, line.c_str());
+
+   return 0;
+}