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https://github.com/boostorg/multiprecision.git
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367 lines
14 KiB
C++
367 lines
14 KiB
C++
///////////////////////////////////////////////////////////////////////////////
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// Copyright 2021 Fahad Syed.
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// Copyright 2021 Christopher Kormanyos.
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// Copyright 2021 Janek Kozicki.
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// Distributed under the Boost Software License, Version 1.0.
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// (See accompanying file LICENSE_1_0.txt
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// or copy at http://www.boost.org/LICENSE_1_0.txt)
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//
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// Test for correctness of arithmetic operators of cpp_double_float<>
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// cd /mnt/c/Users/User/Documents/Ks/PC_Software/Test
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// g++ -O3 -Wall -march=native -std=c++11 -I/mnt/c/MyGitRepos/BoostGSoC21_multiprecision/include -I/mnt/c/boost/boost_1_76_0 test.cpp -o test_double_float.exe
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// Handle interaction with Boost's wrap of libquadmath __float128.
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// g++ -O3 -Wall -march=native -std=gnu++11 -I/mnt/c/MyGitRepos/BoostGSoC21_multiprecision/include -I/mnt/c/boost/boost_1_76_0 -DBOOST_MATH_USE_FLOAT128 test.cpp -lquadmath -o test_double_float.exe
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#include <ctime>
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#include <iomanip>
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#include <iostream>
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#include <random>
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#include <string>
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#include <vector>
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#include <boost/config.hpp>
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#include <boost/multiprecision/number.hpp>
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#ifdef BOOST_MATH_USE_FLOAT128
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#include <boost/multiprecision/float128.hpp>
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#endif
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#include <boost/multiprecision/cpp_double_float.hpp>
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#include <boost/multiprecision/cpp_dec_float.hpp>
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#include <boost/random/uniform_real_distribution.hpp>
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#include <boost/core/demangle.hpp>
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#if defined(__clang__)
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#if defined __has_feature && (__has_feature(thread_sanitizer) || __has_feature(address_sanitizer))
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#define CPP_DOUBLE_FLOAT_REDUCE_TEST_DEPTH
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#endif
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#elif defined(__GNUC__)
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#if defined(__SANITIZE_THREAD__) || defined(__SANITIZE_ADDRESS__)
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#define CPP_DOUBLE_FLOAT_REDUCE_TEST_DEPTH
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#endif
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#endif
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namespace local {
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template<typename ConstituentFloatType>
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struct control
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{
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static constexpr int digits = (2 * std::numeric_limits<ConstituentFloatType>::digits) - 2;
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static constexpr int digits10 = int(float(digits - 1) * 0.301F);
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static constexpr int max_digits10 = int(float(digits) * 0.301F) + 2;
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static constexpr int max_exponent10 = std::numeric_limits<ConstituentFloatType>::max_exponent10;
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using double_float_type = boost::multiprecision::number<boost::multiprecision::backends::cpp_double_float<ConstituentFloatType>, boost::multiprecision::et_off>;
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using control_float_type = boost::multiprecision::number<boost::multiprecision::cpp_dec_float<(2 * std::numeric_limits<double_float_type>::digits10) + 1>, boost::multiprecision::et_off>;
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using random_engine_type = std::linear_congruential_engine<std::uint32_t, 48271, 0, 2147483647>;
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static std::mt19937 engine_man;
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static std::ranlux24_base engine_sgn;
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static random_engine_type engine_dec_pt;
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template<const std::size_t DigitsToGet = digits10>
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static void get_random_fixed_string(std::string& str, const bool is_unsigned = false)
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{
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static std::uniform_int_distribution<unsigned>
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dist_sgn
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(
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0,
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1
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);
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static std::uniform_int_distribution<unsigned>
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dist_first
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(
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1,
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9
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);
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static std::uniform_int_distribution<unsigned>
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dist_following
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(
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0,
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9
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);
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const bool is_neg = ((is_unsigned == false) && (dist_sgn(engine_sgn) != 0));
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// Use DigitsToGet + 2, where +2 represents the lenth of "0.".
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std::string::size_type len = static_cast<std::string::size_type>(DigitsToGet + 2);
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std::string::size_type pos = 0U;
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if(is_neg)
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{
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++len;
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str.resize(len);
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str.at(pos) = char('-');
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++pos;
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}
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else
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{
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str.resize(len);
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}
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str.at(pos) = static_cast<char>('0');
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++pos;
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str.at(pos) = static_cast<char>('.');
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++pos;
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str.at(pos) = static_cast<char>(dist_first(engine_man) + 0x30U);
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++pos;
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while(pos < str.length())
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{
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str.at(pos) = static_cast<char>(dist_following(engine_man) + 0x30U);
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++pos;
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}
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const bool exp_is_neg = (dist_sgn(engine_sgn) != 0);
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static std::uniform_int_distribution<unsigned>
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dist_exp
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(
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0,
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unsigned(float(max_exponent10) * 0.15F)
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);
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std::string str_exp = ((exp_is_neg == false) ? "E+" : "E-");
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{
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std::stringstream strm;
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strm << dist_exp(engine_man);
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str_exp += strm.str();
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}
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str += str_exp;
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}
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};
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template<typename ConstituentFloatType> constexpr int control<ConstituentFloatType>::digits;
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template<typename ConstituentFloatType> constexpr int control<ConstituentFloatType>::digits10;
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template<typename ConstituentFloatType> constexpr int control<ConstituentFloatType>::max_digits10;
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template<typename ConstituentFloatType> constexpr int control<ConstituentFloatType>::max_exponent10;
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template<typename ConstituentFloatType> std::mt19937 control<ConstituentFloatType>::engine_man(static_cast<typename std::mt19937::result_type>(std::clock()));
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template<typename ConstituentFloatType> std::ranlux24_base control<ConstituentFloatType>::engine_sgn(static_cast<typename std::ranlux24_base::result_type>(std::clock()));
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template<typename ConstituentFloatType> typename control<ConstituentFloatType>::random_engine_type control<ConstituentFloatType>::engine_dec_pt(static_cast<typename random_engine_type::result_type>(std::clock()));
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template <typename ConstituentFloatType>
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bool test_op(char op, const unsigned count = 10000U)
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{
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using float_type = ConstituentFloatType;
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using double_float_type = typename control<float_type>::double_float_type;
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using control_float_type = typename control<float_type>::control_float_type;
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const control_float_type MaxError = boost::multiprecision::ldexp(control_float_type(1), -std::numeric_limits<double_float_type>::digits + 2);
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std::cout << "testing operator" << op << " (accuracy = " << std::numeric_limits<double_float_type>::digits << " bits)...";
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for (unsigned i = 0U; i < count; ++i)
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{
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std::string str_a;
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std::string str_b;
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control<float_type>::get_random_fixed_string(str_a);
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control<float_type>::get_random_fixed_string(str_b);
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const double_float_type df_a(str_a);
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const double_float_type df_b(str_b);
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#if 0
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const control_float_type ctrl_a = control_float_type(double_float_type::canonical_value(df_a).crep().first.crep().first)
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+ control_float_type(double_float_type::canonical_value(df_a).crep().first.crep().second)
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+ control_float_type(double_float_type::canonical_value(df_a).crep().second.crep().first)
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+ control_float_type(double_float_type::canonical_value(df_a).crep().second.crep().second)
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;
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const control_float_type ctrl_b = control_float_type(double_float_type::canonical_value(df_b).crep().first.crep().first)
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+ control_float_type(double_float_type::canonical_value(df_b).crep().first.crep().second)
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+ control_float_type(double_float_type::canonical_value(df_b).crep().second.crep().first)
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+ control_float_type(double_float_type::canonical_value(df_b).crep().second.crep().second)
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;
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#else
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const control_float_type ctrl_a = control_float_type(double_float_type::canonical_value(df_a).crep().first)
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+ control_float_type(double_float_type::canonical_value(df_a).crep().second)
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;
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const control_float_type ctrl_b = control_float_type(double_float_type::canonical_value(df_b).crep().first)
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+ control_float_type(double_float_type::canonical_value(df_b).crep().second)
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;
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#endif
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double_float_type df_c;
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control_float_type ctrl_c;
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switch (op)
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{
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default:
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case '+':
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df_c = df_a + df_b;
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ctrl_c = ctrl_a + ctrl_b;
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break;
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case '-':
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df_c = df_a - df_b;
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ctrl_c = ctrl_a - ctrl_b;
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break;
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case '*':
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df_c = df_a * df_b;
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ctrl_c = ctrl_a * ctrl_b;
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break;
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case '/':
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if (df_b != double_float_type(0))
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{
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df_c = df_a / df_b;
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ctrl_c = ctrl_a / ctrl_b;
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}
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else
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{
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continue;
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}
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break;
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}
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#if 0
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const control_float_type ctrl_df_c = control_float_type(double_float_type::canonical_value(df_c).crep().first.crep().first)
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+ control_float_type(double_float_type::canonical_value(df_c).crep().first.crep().second)
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+ control_float_type(double_float_type::canonical_value(df_c).crep().second.crep().first)
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+ control_float_type(double_float_type::canonical_value(df_c).crep().second.crep().second)
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;
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#else
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const control_float_type ctrl_df_c = control_float_type(double_float_type::canonical_value(df_c).crep().first)
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+ control_float_type(double_float_type::canonical_value(df_c).crep().second)
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;
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#endif
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const control_float_type delta = fabs(1 - fabs(ctrl_c / ctrl_df_c));
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if (delta > MaxError)
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{
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std::cerr << std::setprecision(std::numeric_limits<double_float_type>::digits10 + 2);
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std::cerr << " [FAILED] while performing '" << std::setprecision(100000) << ctrl_a << "' " << op << " '" << ctrl_b << "', got incorrect result: " << (df_c) << std::endl;
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return false;
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}
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}
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std::cout << " ok [" << count << " tests passed]" << std::endl;
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return true;
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}
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template <typename ConstituentFloatType>
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bool test_sqrt(const unsigned count = 10000U)
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{
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using float_type = ConstituentFloatType;
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using double_float_type = typename control<float_type>::double_float_type;
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using control_float_type = typename control<float_type>::control_float_type;
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const control_float_type MaxError = boost::multiprecision::ldexp(control_float_type(1), -std::numeric_limits<double_float_type>::digits + 2);
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std::cout << "testing func sqrt (accuracy = " << std::numeric_limits<double_float_type>::digits << " bits)...";
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for (unsigned i = 0U; i < count; ++i)
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{
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std::string str_a;
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control<float_type>::get_random_fixed_string(str_a, true);
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const double_float_type df_a(str_a);
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#if 0
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const control_float_type ctrl_a = control_float_type(double_float_type::canonical_value(df_a).crep().first.crep().first)
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+ control_float_type(double_float_type::canonical_value(df_a).crep().first.crep().second)
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+ control_float_type(double_float_type::canonical_value(df_a).crep().second.crep().first)
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+ control_float_type(double_float_type::canonical_value(df_a).crep().second.crep().second)
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;
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#else
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const control_float_type ctrl_a = control_float_type(double_float_type::canonical_value(df_a).crep().first)
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+ control_float_type(double_float_type::canonical_value(df_a).crep().second)
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;
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#endif
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double_float_type df_c;
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control_float_type ctrl_c;
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df_c = sqrt(df_a);
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ctrl_c = sqrt(ctrl_a);
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#if 0
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const control_float_type ctrl_df_c = control_float_type(double_float_type::canonical_value(df_c).crep().first.crep().first)
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+ control_float_type(double_float_type::canonical_value(df_c).crep().first.crep().second)
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+ control_float_type(double_float_type::canonical_value(df_c).crep().second.crep().first)
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+ control_float_type(double_float_type::canonical_value(df_c).crep().second.crep().second)
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;
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#else
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const control_float_type ctrl_df_c = control_float_type(double_float_type::canonical_value(df_c).crep().first)
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+ control_float_type(double_float_type::canonical_value(df_c).crep().second)
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;
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#endif
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const control_float_type delta = fabs(1 - fabs(ctrl_c / ctrl_df_c));
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if (delta > MaxError)
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{
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std::cerr << std::setprecision(std::numeric_limits<double_float_type>::digits10 + 2);
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std::cerr << " [FAILED] while performing '" << std::setprecision(100000) << ctrl_a << "' sqrt', got incorrect result: " << (df_c) << std::endl;
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return false;
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}
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}
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std::cout << " ok [" << count << " tests passed]" << std::endl;
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return true;
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}
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template <typename T>
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bool test_arithmetic(const unsigned count = 10000U)
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{
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std::cout << "Testing correctness of arithmetic operators for " << boost::core::demangle(typeid(T).name()) << std::endl;
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bool result_is_ok = true;
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result_is_ok &= test_op <T>('+', count);
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result_is_ok &= test_op <T>('-', count);
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result_is_ok &= test_op <T>('*', count);
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result_is_ok &= test_op <T>('/', count);
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result_is_ok &= test_sqrt<T>(count);
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std::cout << std::endl;
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return result_is_ok;
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}
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} // namespace local
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int main()
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{
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bool result_is_ok = true;
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#if defined(CPP_DOUBLE_FLOAT_REDUCE_TEST_DEPTH)
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constexpr unsigned int test_cases_built_in = 10000U;
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#else
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constexpr unsigned int test_cases_built_in = 1000000U;
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#endif
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#if defined(CPP_DOUBLE_FLOAT_REDUCE_TEST_DEPTH)
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constexpr unsigned int test_cases_float128 = 1000U;
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#else
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constexpr unsigned int test_cases_float128 = 20000U;
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#endif
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result_is_ok &= local::test_arithmetic<float>(test_cases_built_in);
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result_is_ok &= local::test_arithmetic<double>(test_cases_built_in);
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//result_is_ok &= local::test_arithmetic<long double>(test_cases_built_in);
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#ifdef BOOST_MATH_USE_FLOAT128
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result_is_ok &= local::test_arithmetic<boost::multiprecision::float128>(test_cases_float128);
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#else
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(void) test_cases_float128;
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#endif
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return (result_is_ok ? 0 : -1);
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}
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