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106 lines
3.9 KiB
C++
106 lines
3.9 KiB
C++
///////////////////////////////////////////////////////////////
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// Copyright Christopher Kormanyos 2021 - 2025.
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// Distributed under the Boost
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// Software License, Version 1.0. (See accompanying file
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// LICENSE_1_0.txt or copy at https://www.boost.org/LICENSE_1_0.txt
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//
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#include <iomanip>
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#include <iostream>
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// cd /mnt/c/Users/User/Documents/Ks/PC_Software/Test
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// g++ -O3 -Wall -march=native -std=gnu++14 -I/mnt/c/MyGitRepos/BoostGSoC21_multiprecision/include -I/mnt/c/boost/boost_1_81_0 test.cpp -lquadmath -o test.exe
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#include <boost/math/constants/constants.hpp>
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#include <boost/math/special_functions/bessel.hpp>
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#include <boost/math/special_functions/gamma.hpp>
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#include <boost/multiprecision/cpp_double_fp.hpp>
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#include <boost/multiprecision/cpp_dec_float.hpp>
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template<typename FloatType>
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void represent_tgamma_half()
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{
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// N[Sqrt[Pi], 101]
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// 1.7724538509055160272981674833411451827975494561223871282138077898529112845910321813749506567385446654
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std::cout << std::endl << "represent_tgamma_half" << std::endl;
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using float_type = FloatType;
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const float_type g = boost::math::tgamma(float_type(0.5F));
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const float_type ctrl = sqrt(boost::math::constants::pi<float_type>());
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const float_type delta = fabs(1 - (g / ctrl));
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const auto flg = std::cout.flags();
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std::cout << std::setprecision(std::numeric_limits<float_type>::digits10) << g << std::endl;
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std::cout << std::setprecision(std::numeric_limits<float_type>::digits10) << ctrl << std::endl;
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std::cout << std::scientific << std::setprecision(4) << delta << std::endl;
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std::cout.flags(flg);
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}
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template<typename FloatType>
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void represent_cyl_bessel_j()
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{
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// N[BesselJ[2, 345/100], 101]
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// 0.46452112540537213897844513503677773921598161558478057526782559731407738667745222063644605126028883049
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std::cout << std::endl << "represent_cyl_bessel_j" << std::endl;
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using float_type = FloatType;
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const float_type b = boost::math::cyl_bessel_j(2, float_type(345) / 100);
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const float_type ctrl("0.46452112540537213897844513503677773921598161558478057526782559731407738667745222063644605126028883049");
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const float_type delta = fabs(1 - (b / ctrl));
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const auto flg = std::cout.flags();
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std::cout << std::setprecision(std::numeric_limits<float_type>::digits10) << b << std::endl;
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std::cout << std::setprecision(std::numeric_limits<float_type>::digits10) << ctrl << std::endl;
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std::cout << std::scientific << std::setprecision(4) << delta << std::endl;
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std::cout.flags(flg);
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}
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int main()
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{
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{
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using double_float_type = boost::multiprecision::cpp_double_double;
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using dec_float_type = boost::multiprecision::number<boost::multiprecision::cpp_dec_float<std::numeric_limits<double_float_type>::digits10>, boost::multiprecision::et_off>;
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represent_tgamma_half<double_float_type>();
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represent_tgamma_half<dec_float_type>();
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represent_cyl_bessel_j<double_float_type>();
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represent_cyl_bessel_j<dec_float_type>();
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}
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{
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using double_float_type = boost::multiprecision::cpp_double_long_double;
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using dec_float_type = boost::multiprecision::number<boost::multiprecision::cpp_dec_float<std::numeric_limits<double_float_type>::digits10>, boost::multiprecision::et_off>;
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represent_tgamma_half<double_float_type>();
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represent_tgamma_half<dec_float_type>();
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represent_cyl_bessel_j<double_float_type>();
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represent_cyl_bessel_j<dec_float_type>();
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}
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#if defined(BOOST_HAS_FLOAT128)
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{
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using double_float_type = boost::multiprecision::cpp_double_float128;
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using dec_float_type = boost::multiprecision::number<boost::multiprecision::cpp_dec_float<std::numeric_limits<double_float_type>::digits10>, boost::multiprecision::et_off>;
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represent_tgamma_half<double_float_type>();
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represent_tgamma_half<dec_float_type>();
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represent_cyl_bessel_j<double_float_type>();
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represent_cyl_bessel_j<dec_float_type>();
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}
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#endif
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}
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