349 lines
18 KiB
C++
349 lines
18 KiB
C++
///////////////////////////////////////////////////////////////
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// Copyright 2012 John Maddock. 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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#ifndef BOOST_MULTIPRECISION_TEST_HPP
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#define BOOST_MULTIPRECISION_TEST_HPP
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#include <limits>
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#include <cmath>
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#include <typeinfo>
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#include <boost/detail/lightweight_test.hpp>
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#include <boost/current_function.hpp>
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#include <boost/static_assert.hpp>
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#include <boost/utility/enable_if.hpp>
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#include <boost/type_traits/is_unsigned.hpp>
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#include <boost/multiprecision/number.hpp>
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namespace detail {
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template <class T>
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inline typename boost::disable_if_c<boost::is_unsigned<T>::value || boost::multiprecision::is_unsigned_number<T>::value, T>::type
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abs(const T& a)
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{
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return a < 0 ? -a : a;
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}
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template <class T>
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inline typename boost::enable_if_c<boost::is_unsigned<T>::value || boost::multiprecision::is_unsigned_number<T>::value, T>::type
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abs(const T& a)
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{
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return a;
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}
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} // namespace detail
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template <class T>
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typename boost::enable_if_c<boost::multiprecision::number_category<T>::value == boost::multiprecision::number_kind_integer, T>::type relative_error(T a, T b)
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{
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return a > b ? a - b : b - a;
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}
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template <class T>
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typename boost::disable_if_c<(boost::multiprecision::number_category<T>::value == boost::multiprecision::number_kind_integer) || boost::multiprecision::is_interval_number<T>::value, T>::type relative_error(T a, T b)
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{
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using ::detail::abs;
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using std::abs;
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T min_val = (std::numeric_limits<T>::min)();
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T max_val = (std::numeric_limits<T>::max)();
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if ((a != 0) && (b != 0))
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{
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if (a == b)
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return 0;
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// TODO: use isfinite:
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if (abs(b) >= max_val)
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{
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if (abs(a) >= max_val)
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return 0; // one infinity is as good as another!
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}
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// If the result is denormalised, treat all denorms as equivalent:
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if ((a < min_val) && (a > 0))
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a = min_val;
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else if ((a > -min_val) && (a < 0))
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a = -min_val;
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if ((b < min_val) && (b > 0))
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b = min_val;
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else if ((b > -min_val) && (b < 0))
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b = -min_val;
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return (std::max)(abs(T((a - b) / a)), abs(T((a - b) / b))) / std::numeric_limits<T>::epsilon();
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}
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// Handle special case where one or both are zero:
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if (min_val == 0)
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return abs(T(a - b));
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if (abs(a) < min_val)
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a = min_val;
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if (abs(b) < min_val)
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b = min_val;
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return (std::max)(abs(T((a - b) / a)), abs(T((a - b) / b))) / std::numeric_limits<T>::epsilon();
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}
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template <class T, class U>
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typename boost::mpl::if_c<boost::is_convertible<T, U>::value, U, T>::type
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relative_error(T a, U b)
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{
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typedef typename boost::mpl::if_c<boost::is_convertible<T, U>::value, U, T>::type cast_type;
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return relative_error<cast_type>(static_cast<cast_type>(a), static_cast<cast_type>(b));
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}
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template <class T>
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typename boost::enable_if_c<boost::multiprecision::is_interval_number<T>::value, T>::type relative_error(T a, T b)
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{
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typename boost::multiprecision::component_type<T>::type am = median(a);
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typename boost::multiprecision::component_type<T>::type bm = median(b);
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return relative_error<typename boost::multiprecision::component_type<T>::type>(am, bm);
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}
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enum
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{
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warn_on_fail,
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error_on_fail,
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abort_on_fail
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};
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template <class T>
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inline T epsilon_of(const T&)
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{
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BOOST_STATIC_ASSERT(std::numeric_limits<T>::is_specialized);
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return std::numeric_limits<T>::is_integer ? static_cast<T>(1) : std::numeric_limits<T>::epsilon();
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}
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template <class T>
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inline int digits_of(const T&)
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{
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return std::numeric_limits<T>::is_specialized ? std::numeric_limits<T>::digits10 + 3 : std::numeric_limits<long double>::digits10 + 3;
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}
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inline std::ostream& report_where(const char* file, int line, const char* function)
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{
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if (function)
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BOOST_LIGHTWEIGHT_TEST_OSTREAM << "In function: " << function << std::endl;
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BOOST_LIGHTWEIGHT_TEST_OSTREAM << file << ":" << line;
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return BOOST_LIGHTWEIGHT_TEST_OSTREAM;
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}
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#define BOOST_MP_REPORT_WHERE report_where(__FILE__, __LINE__, BOOST_CURRENT_FUNCTION)
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inline void report_severity(int severity)
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{
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if (severity == error_on_fail)
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++boost::detail::test_errors();
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else if (severity == abort_on_fail)
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{
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++boost::detail::test_errors();
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abort();
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}
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}
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#define BOOST_MP_REPORT_SEVERITY(severity) report_severity(severity)
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template <class E>
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void report_unexpected_exception(const E& e, int severity, const char* file, int line, const char* function)
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{
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report_where(file, line, function) << " Unexpected exception of type " << typeid(e).name() << std::endl;
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BOOST_LIGHTWEIGHT_TEST_OSTREAM << "Errot message was: " << e.what() << std::endl;
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BOOST_MP_REPORT_SEVERITY(severity);
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}
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#ifndef BOOST_NO_EXCEPTIONS
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#define BOOST_MP_UNEXPECTED_EXCEPTION_CHECK(severity) \
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catch (const std::exception& e) \
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{ \
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report_unexpected_exception(e, severity, __FILE__, __LINE__, BOOST_CURRENT_FUNCTION); \
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} \
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catch (...) \
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{ \
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std::cout << "Exception of unknown type was thrown" << std::endl; \
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report_severity(severity); \
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}
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#define BOOST_MP_TRY try
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#else
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#define BOOST_MP_UNEXPECTED_EXCEPTION_CHECK(severity)
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#define BOOST_MP_TRY
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#endif
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#define BOOST_CHECK_IMP(x, severity) \
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BOOST_MP_TRY \
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{ \
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if (x) \
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{ \
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} \
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else \
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{ \
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BOOST_MP_REPORT_WHERE << " Failed predicate: " << BOOST_STRINGIZE(x) << std::endl; \
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BOOST_MP_REPORT_SEVERITY(severity); \
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} \
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} \
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BOOST_MP_UNEXPECTED_EXCEPTION_CHECK(severity)
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#define BOOST_CHECK(x) BOOST_CHECK_IMP(x, error_on_fail)
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#define BOOST_WARN(x) BOOST_CHECK_IMP(x, warn_on_fail)
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#define BOOST_REQUIRE(x) BOOST_CHECK_IMP(x, abort_on_fail)
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#define BOOST_CLOSE_IMP(x, y, tol, severity) \
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BOOST_MP_TRY \
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{ \
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if (relative_error(x, y) > tol) \
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{ \
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BOOST_MP_REPORT_WHERE << " Failed check for closeness: \n" \
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<< std::setprecision(digits_of(x)) << std::scientific \
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<< "Value of LHS was: " << x << "\n" \
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<< "Value of RHS was: " << y << "\n" \
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<< std::setprecision(5) << std::fixed \
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<< "Relative error was: " << relative_error(x, y) << "eps\n" \
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<< "Tolerance was: " << tol << "eps" << std::endl; \
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BOOST_MP_REPORT_SEVERITY(severity); \
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} \
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} \
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BOOST_MP_UNEXPECTED_EXCEPTION_CHECK(severity)
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#define BOOST_EQUAL_IMP(x, y, severity) \
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BOOST_MP_TRY \
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{ \
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if (!((x) == (y))) \
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{ \
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BOOST_MP_REPORT_WHERE << " Failed check for equality: \n" \
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<< std::setprecision(digits_of(x)) << std::scientific \
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<< "Value of LHS was: " << (x) << "\n" \
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<< "Value of RHS was: " << (y) << "\n" \
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<< std::setprecision(3) << std::endl; \
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BOOST_MP_REPORT_SEVERITY(severity); \
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} \
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} \
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BOOST_MP_UNEXPECTED_EXCEPTION_CHECK(severity)
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#define BOOST_NE_IMP(x, y, severity) \
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BOOST_MP_TRY \
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{ \
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if (!(x != y)) \
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{ \
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BOOST_MP_REPORT_WHERE << " Failed check for non-equality: \n" \
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<< std::setprecision(digits_of(x)) << std::scientific \
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<< "Value of LHS was: " << x << "\n" \
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<< "Value of RHS was: " << y << "\n" \
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<< std::setprecision(3) << std::endl; \
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BOOST_MP_REPORT_SEVERITY(severity); \
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} \
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} \
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BOOST_MP_UNEXPECTED_EXCEPTION_CHECK(severity)
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#define BOOST_LT_IMP(x, y, severity) \
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BOOST_MP_TRY \
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{ \
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if (!(x < y)) \
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{ \
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BOOST_MP_REPORT_WHERE << " Failed check for less than: \n" \
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<< std::setprecision(digits_of(x)) << std::scientific \
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<< "Value of LHS was: " << x << "\n" \
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<< "Value of RHS was: " << y << "\n" \
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<< std::setprecision(3) << std::endl; \
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BOOST_MP_REPORT_SEVERITY(severity); \
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} \
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} \
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BOOST_MP_UNEXPECTED_EXCEPTION_CHECK(severity)
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#define BOOST_GT_IMP(x, y, severity) \
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BOOST_MP_TRY \
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{ \
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if (!(x > y)) \
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{ \
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BOOST_MP_REPORT_WHERE << " Failed check for greater than: \n" \
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<< std::setprecision(digits_of(x)) << std::scientific \
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<< "Value of LHS was: " << x << "\n" \
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<< "Value of RHS was: " << y << "\n" \
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<< std::setprecision(3) << std::endl; \
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BOOST_MP_REPORT_SEVERITY(severity); \
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} \
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} \
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BOOST_MP_UNEXPECTED_EXCEPTION_CHECK(severity)
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#define BOOST_LE_IMP(x, y, severity) \
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BOOST_MP_TRY \
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{ \
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if (!(x <= y)) \
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{ \
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BOOST_MP_REPORT_WHERE << " Failed check for less-than-equal-to: \n" \
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<< std::setprecision(digits_of(x)) << std::scientific \
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<< "Value of LHS was: " << x << "\n" \
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<< "Value of RHS was: " << y << "\n" \
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<< std::setprecision(3) << std::endl; \
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BOOST_MP_REPORT_SEVERITY(severity); \
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} \
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} \
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BOOST_MP_UNEXPECTED_EXCEPTION_CHECK(severity)
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#define BOOST_GE_IMP(x, y, severity) \
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BOOST_MP_TRY \
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{ \
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if (!(x >= y)) \
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{ \
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BOOST_MP_REPORT_WHERE << " Failed check for greater-than-equal-to \n" \
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<< std::setprecision(digits_of(x)) << std::scientific \
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<< "Value of LHS was: " << x << "\n" \
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<< "Value of RHS was: " << y << "\n" \
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<< std::setprecision(3) << std::endl; \
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BOOST_MP_REPORT_SEVERITY(severity); \
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} \
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} \
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BOOST_MP_UNEXPECTED_EXCEPTION_CHECK(severity)
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#ifndef BOOST_NO_EXCEPTIONS
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#define BOOST_MT_CHECK_THROW_IMP(x, E, severity) \
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BOOST_MP_TRY \
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{ \
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x; \
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BOOST_MP_REPORT_WHERE << " Expected exception not thrown in expression " << BOOST_STRINGIZE(x) << std::endl; \
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BOOST_MP_REPORT_SEVERITY(severity); \
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} \
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catch (const E&) {} \
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BOOST_MP_UNEXPECTED_EXCEPTION_CHECK(severity)
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#else
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#define BOOST_MT_CHECK_THROW_IMP(x, E, severity)
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#endif
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#define BOOST_CHECK_CLOSE(x, y, tol) BOOST_CLOSE_IMP(x, y, ((tol / (100 * epsilon_of(x)))), error_on_fail)
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#define BOOST_WARN_CLOSE(x, y, tol) BOOST_CLOSE_IMP(x, y, (tol / (100 * epsilon_of(x))), warn_on_fail)
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#define BOOST_REQUIRE_CLOSE(x, y, tol) BOOST_CLOSE_IMP(x, y, (tol / (100 * epsilon_of(x))), abort_on_fail)
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#define BOOST_CHECK_CLOSE_FRACTION(x, y, tol) BOOST_CLOSE_IMP(x, y, ((tol / (epsilon_of(x)))), error_on_fail)
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#define BOOST_WARN_CLOSE_FRACTION(x, y, tol) BOOST_CLOSE_IMP(x, y, (tol / (epsilon_of(x))), warn_on_fail)
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#define BOOST_REQUIRE_CLOSE_FRACTION(x, y, tol) BOOST_CLOSE_IMP(x, y, (tol / (epsilon_of(x))), abort_on_fail)
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#define BOOST_CHECK_EQUAL(x, y) BOOST_EQUAL_IMP(x, y, error_on_fail)
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#define BOOST_WARN_EQUAL(x, y) BOOST_EQUAL_IMP(x, y, warn_on_fail)
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#define BOOST_REQUIRE_EQUAL(x, y) BOOST_EQUAL_IMP(x, y, abort_on_fail)
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#define BOOST_CHECK_NE(x, y) BOOST_NE_IMP(x, y, error_on_fail)
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#define BOOST_WARN_NE(x, y) BOOST_NE_IMP(x, y, warn_on_fail)
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#define BOOST_REQUIRE_NE(x, y) BOOST_NE_IMP(x, y, abort_on_fail)
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#define BOOST_CHECK_LT(x, y) BOOST_LT_IMP(x, y, error_on_fail)
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#define BOOST_WARN_LT(x, y) BOOST_LT_IMP(x, y, warn_on_fail)
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#define BOOST_REQUIRE_LT(x, y) BOOST_LT_IMP(x, y, abort_on_fail)
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#define BOOST_CHECK_GT(x, y) BOOST_GT_IMP(x, y, error_on_fail)
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#define BOOST_WARN_GT(x, y) BOOST_GT_IMP(x, y, warn_on_fail)
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#define BOOST_REQUIRE_GT(x, y) BOOST_GT_IMP(x, y, abort_on_fail)
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#define BOOST_CHECK_LE(x, y) BOOST_LE_IMP(x, y, error_on_fail)
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#define BOOST_WARN_LE(x, y) BOOST_LE_IMP(x, y, warn_on_fail)
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#define BOOST_REQUIRE_LE(x, y) BOOST_LE_IMP(x, y, abort_on_fail)
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#define BOOST_CHECK_GE(x, y) BOOST_GE_IMP(x, y, error_on_fail)
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#define BOOST_WARN_GE(x, y) BOOST_GE_IMP(x, y, warn_on_fail)
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#define BOOST_REQUIRE_GE(x, y) BOOST_GE_IMP(x, y, abort_on_fail)
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#define BOOST_CHECK_THROW(x, E) BOOST_MT_CHECK_THROW_IMP(x, E, error_on_fail)
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#define BOOST_WARN_THROW(x, E) BOOST_MT_CHECK_THROW_IMP(x, E, warn_on_fail)
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#define BOOST_REQUIRE_THROW(x, E) BOOST_MT_CHECK_THROW_IMP(x, E, abort_on_fail)
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#endif
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