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📄 rational_tests.cpp

📁 Boost provides free peer-reviewed portable C++ source libraries. We emphasize libraries that work
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         "   BOOST_CHECK_CLOSE(\n"         "      boost::math::tools::evaluate_even_polynomial(n" << i << "a, static_cast<T>(1.0f - 1.0f/64.0f)),\n"         "      static_cast<T>(" << r4 << "L),\n"         "      tolerance);\n\n";      if(i > 1)      {         r1 = boost::math::tools::evaluate_odd_polynomial(&coef[0], boost::math::ntl::RR(0.125), i);         r2 = boost::math::tools::evaluate_odd_polynomial(&coef[0], boost::math::ntl::RR(0.25), i);         r3 = boost::math::tools::evaluate_odd_polynomial(&coef[0], boost::math::ntl::RR(0.75), i);         r4 = boost::math::tools::evaluate_odd_polynomial(&coef[0], boost::math::ntl::RR(1) - boost::math::ntl::RR(1) / 64, i);         std::cout <<            "   BOOST_CHECK_CLOSE(\n"            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(0.125), " << i << "),\n"            "      static_cast<T>(" << r1 << "L),\n"            "      tolerance);\n";         std::cout <<            "   BOOST_CHECK_CLOSE(\n"            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(0.25), " << i << "),\n"            "      static_cast<T>(" << r2 << "L),\n"            "      tolerance);\n";         std::cout <<            "   BOOST_CHECK_CLOSE(\n"            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(0.75), " << i << "),\n"            "      static_cast<T>(" << r3 << "L),\n"            "      tolerance);\n";         std::cout <<            "   BOOST_CHECK_CLOSE(\n"            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(1.0f - 1.0f/64.0f), " << i << "),\n"            "      static_cast<T>(" << r4 << "L),\n"            "      tolerance);\n\n";         std::cout <<            "   BOOST_CHECK_CLOSE(\n"            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(0.125)),\n"            "      static_cast<T>(" << r1 << "L),\n"            "      tolerance);\n";         std::cout <<            "   BOOST_CHECK_CLOSE(\n"            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(0.25)),\n"            "      static_cast<T>(" << r2 << "L),\n"            "      tolerance);\n";         std::cout <<            "   BOOST_CHECK_CLOSE(\n"            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(0.75)),\n"            "      static_cast<T>(" << r3 << "L),\n"            "      tolerance);\n";         std::cout <<            "   BOOST_CHECK_CLOSE(\n"            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(1.0f - 1.0f/64.0f)),\n"            "      static_cast<T>(" << r4 << "L),\n"            "      tolerance);\n\n";         std::cout <<            "   BOOST_CHECK_CLOSE(\n"            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "a, static_cast<T>(0.125)),\n"            "      static_cast<T>(" << r1 << "L),\n"            "      tolerance);\n";         std::cout <<            "   BOOST_CHECK_CLOSE(\n"            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "a, static_cast<T>(0.25)),\n"            "      static_cast<T>(" << r2 << "L),\n"            "      tolerance);\n";         std::cout <<            "   BOOST_CHECK_CLOSE(\n"            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "a, static_cast<T>(0.75)),\n"            "      static_cast<T>(" << r3 << "L),\n"            "      tolerance);\n";         std::cout <<            "   BOOST_CHECK_CLOSE(\n"            "      boost::math::tools::evaluate_odd_polynomial(n" << i << "a, static_cast<T>(1.0f - 1.0f/64.0f)),\n"            "      static_cast<T>(" << r4 << "L),\n"            "      tolerance);\n\n";      }      r1 = boost::math::tools::evaluate_polynomial(&coef[0], boost::math::ntl::RR(0.125), i);      r2 = boost::math::tools::evaluate_polynomial(&coef[0], boost::math::ntl::RR(0.25), i);      r3 = boost::math::tools::evaluate_polynomial(&coef[0], boost::math::ntl::RR(0.75), i);      r4 = boost::math::tools::evaluate_polynomial(&coef[0], boost::math::ntl::RR(1) - boost::math::ntl::RR(1) / 64, i);      coef.clear();      for(unsigned j = 0; j < i; ++j)      {         coef.push_back(gen());      }      std::cout << "   //\n""   // Rational functions of order " << i-1 << "\n""   //\n""   static const U d" << i << "c[" << i << "] = { ";      for(unsigned j = 0; j < i; ++j)      {         if(j)             std::cout  << ", ";         std::cout << coef[j];      }      std::cout << " };\n";      std::cout <<         "   static const boost::array<U, " << i << "> d" << i << "a = { ";      for(unsigned j = 0; j < i; ++j)      {         if(j)             std::cout  << ", ";         std::cout << coef[j];      }      std::cout << " };\n";      boost::math::ntl::RR r1d = boost::math::tools::evaluate_polynomial(&coef[0], boost::math::ntl::RR(0.125), i);      boost::math::ntl::RR r2d = boost::math::tools::evaluate_polynomial(&coef[0], boost::math::ntl::RR(0.25), i);      boost::math::ntl::RR r3d = boost::math::tools::evaluate_polynomial(&coef[0], boost::math::ntl::RR(0.75), i);      boost::math::ntl::RR r4d = boost::math::tools::evaluate_polynomial(&coef[0], boost::math::ntl::RR(1) - boost::math::ntl::RR(1) / 64, i);      std::cout <<         "   BOOST_CHECK_CLOSE(\n"         "      boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(0.125), " << i << "),\n"         "      static_cast<T>(" << r1/r1d << "L),\n"         "      tolerance);\n";      std::cout <<         "   BOOST_CHECK_CLOSE(\n"         "      boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(0.25), " << i << "),\n"         "      static_cast<T>(" << r2/r2d << "L),\n"         "      tolerance);\n";      std::cout <<         "   BOOST_CHECK_CLOSE(\n"         "      boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(0.75), " << i << "),\n"         "      static_cast<T>(" << r3/r3d << "L),\n"         "      tolerance);\n";      std::cout <<         "   BOOST_CHECK_CLOSE(\n"         "      boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(1.0f - 1.0f/64.0f), " << i << "),\n"         "      static_cast<T>(" << r4/r4d << "L),\n"         "      tolerance);\n\n";      std::cout <<         "   BOOST_CHECK_CLOSE(\n"         "      boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(0.125)),\n"         "      static_cast<T>(" << r1/r1d << "L),\n"         "      tolerance);\n";      std::cout <<         "   BOOST_CHECK_CLOSE(\n"         "      boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(0.25)),\n"         "      static_cast<T>(" << r2/r2d << "L),\n"         "      tolerance);\n";      std::cout <<         "   BOOST_CHECK_CLOSE(\n"         "      boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(0.75)),\n"         "      static_cast<T>(" << r3/r3d << "L),\n"         "      tolerance);\n";      std::cout <<         "   BOOST_CHECK_CLOSE(\n"         "      boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(1.0f - 1.0f/64.0f)),\n"         "      static_cast<T>(" << r4/r4d << "L),\n"         "      tolerance);\n\n";      std::cout <<         "   BOOST_CHECK_CLOSE(\n"         "      boost::math::tools::evaluate_rational(n" << i << "a, d" << i << "a, static_cast<T>(0.125)),\n"         "      static_cast<T>(" << r1/r1d << "L),\n"         "      tolerance);\n";      std::cout <<         "   BOOST_CHECK_CLOSE(\n"         "      boost::math::tools::evaluate_rational(n" << i << "a, d" << i << "a, static_cast<T>(0.25)),\n"         "      static_cast<T>(" << r2/r2d << "L),\n"         "      tolerance);\n";      std::cout <<         "   BOOST_CHECK_CLOSE(\n"         "      boost::math::tools::evaluate_rational(n" << i << "a, d" << i << "a, static_cast<T>(0.75)),\n"         "      static_cast<T>(" << r3/r3d << "L),\n"         "      tolerance);\n";      std::cout <<         "   BOOST_CHECK_CLOSE(\n"         "      boost::math::tools::evaluate_rational(n" << i << "a, d" << i << "a, static_cast<T>(1.0f - 1.0f/64.0f)),\n"         "      static_cast<T>(" << r4/r4d << "L),\n"         "      tolerance);\n\n";   }   return 0;}

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