test.hpp
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///////////////////////////////////////////////////////////////
// Copyright 2012 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at https://www.boost.org/LICENSE_1_0.txt
//
#ifndef BOOST_MULTIPRECISION_TEST_HPP
#define BOOST_MULTIPRECISION_TEST_HPP
#include <limits>
#include <cmath>
#include <typeinfo>
#include <boost/detail/lightweight_test.hpp>
#include <boost/current_function.hpp>
#include <boost/multiprecision/number.hpp>
#include <boost/multiprecision/detail/standalone_config.hpp>
namespace detail {
template <class T>
inline typename std::enable_if<!(boost::multiprecision::detail::is_unsigned<T>::value || boost::multiprecision::is_unsigned_number<T>::value), T>::type
abs(const T& a)
{
return a < 0 ? -a : a;
}
template <class T>
inline typename std::enable_if<boost::multiprecision::detail::is_unsigned<T>::value || boost::multiprecision::is_unsigned_number<T>::value, T>::type
abs(const T& a)
{
return a;
}
} // namespace detail
template <class T>
typename std::enable_if<boost::multiprecision::number_category<T>::value == boost::multiprecision::number_kind_integer, T>::type relative_error(T a, T b)
{
return a > b ? a - b : b - a;
}
template <class T>
typename std::enable_if<!((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)
{
using ::detail::abs;
using std::abs;
T min_val = (std::numeric_limits<T>::min)();
T max_val = (std::numeric_limits<T>::max)();
if ((a != 0) && (b != 0))
{
if (a == b)
return 0;
// TODO: use isfinite:
if (abs(b) >= max_val)
{
if (abs(a) >= max_val)
return 0; // one infinity is as good as another!
}
// If the result is denormalised, treat all denorms as equivalent:
if ((a < min_val) && (a > 0))
a = min_val;
else if ((a > -min_val) && (a < 0))
a = -min_val;
if ((b < min_val) && (b > 0))
b = min_val;
else if ((b > -min_val) && (b < 0))
b = -min_val;
return (std::max)(abs(T((a - b) / a)), abs(T((a - b) / b))) / std::numeric_limits<T>::epsilon();
}
// Handle special case where one or both are zero:
if (min_val == 0)
return abs(T(a - b));
if (abs(a) < min_val)
a = min_val;
if (abs(b) < min_val)
b = min_val;
return (std::max)(abs(T((a - b) / a)), abs(T((a - b) / b))) / std::numeric_limits<T>::epsilon();
}
template <class T>
typename std::enable_if<boost::multiprecision::is_interval_number<T>::value, T>::type relative_error(T a, T b)
{
typename boost::multiprecision::component_type<T>::type am = median(a);
typename boost::multiprecision::component_type<T>::type bm = median(b);
return relative_error<typename boost::multiprecision::component_type<T>::type>(am, bm);
}
template <class T, class U>
typename std::conditional<std::is_convertible<T, U>::value, U, T>::type
relative_error(T a, U b)
{
typedef typename std::conditional<std::is_convertible<T, U>::value, U, T>::type cast_type;
return relative_error<cast_type>(static_cast<cast_type>(a), static_cast<cast_type>(b));
}
enum
{
warn_on_fail,
error_on_fail,
abort_on_fail
};
template <class T>
inline T epsilon_of(const T&)
{
static_assert(std::numeric_limits<T>::is_specialized, "No numeric_limits support");
return std::numeric_limits<T>::is_integer ? static_cast<T>(1) : std::numeric_limits<T>::epsilon();
}
template <class T>
inline int digits_of(const T&)
{
return std::numeric_limits<T>::is_specialized ? std::numeric_limits<T>::digits10 + 3 : std::numeric_limits<long double>::digits10 + 3;
}
inline std::ostream& report_where(const char* file, int line, const char* function)
{
if (function)
BOOST_LIGHTWEIGHT_TEST_OSTREAM << "In function: " << function << std::endl;
BOOST_LIGHTWEIGHT_TEST_OSTREAM << file << ":" << line;
return BOOST_LIGHTWEIGHT_TEST_OSTREAM;
}
#define BOOST_MP_REPORT_WHERE report_where(__FILE__, __LINE__, BOOST_CURRENT_FUNCTION)
inline void report_severity(int severity)
{
if (severity == error_on_fail)
++boost::detail::test_errors();
else if (severity == abort_on_fail)
{
++boost::detail::test_errors();
abort();
}
}
#define BOOST_MP_REPORT_SEVERITY(severity) report_severity(severity)
template <class E>
void report_unexpected_exception(const E& e, int severity, const char* file, int line, const char* function)
{
report_where(file, line, function) << " Unexpected exception of type " << typeid(e).name() << std::endl;
BOOST_LIGHTWEIGHT_TEST_OSTREAM << "Errot message was: " << e.what() << std::endl;
BOOST_MP_REPORT_SEVERITY(severity);
}
#ifdef BOOST_HAS_INT128
std::ostream& operator<<(std::ostream& os, boost::int128_type val)
{
std::stringstream ss;
ss << std::hex << "0x" << static_cast<std::uint64_t>(static_cast<boost::uint128_type>(val) >> 64) << static_cast<std::uint64_t>(val);
return os << ss.str();
}
std::ostream& operator<<(std::ostream& os, boost::uint128_type val)
{
std::stringstream ss;
ss << std::hex << "0x" << static_cast<std::uint64_t>(val >> 64) << static_cast<std::uint64_t>(val);
return os << ss.str();
}
#endif
#if defined(BOOST_HAS_FLOAT128) && !defined(BOOST_MP_HAVE_CSTDFLOAT)
std::ostream& operator<<(std::ostream& os, __float128 f)
{
return os << static_cast<long double>(f);
}
#endif
#ifndef BOOST_NO_EXCEPTIONS
#define BOOST_MP_UNEXPECTED_EXCEPTION_CHECK(severity) \
catch (const std::exception& e) \
{ \
report_unexpected_exception(e, severity, __FILE__, __LINE__, BOOST_CURRENT_FUNCTION); \
} \
catch (...) \
{ \
std::cout << "Exception of unknown type was thrown" << std::endl; \
report_severity(severity); \
}
#define BOOST_MP_TEST_TRY try
#else
#define BOOST_MP_UNEXPECTED_EXCEPTION_CHECK(severity)
#define BOOST_MP_TEST_TRY
#endif
#define BOOST_CHECK_IMP(x, severity) \
BOOST_MP_TEST_TRY \
{ \
if (x) \
{ \
} \
else \
{ \
BOOST_MP_REPORT_WHERE << " Failed predicate: " << BOOST_STRINGIZE(x) << std::endl; \
BOOST_MP_REPORT_SEVERITY(severity); \
} \
} \
BOOST_MP_UNEXPECTED_EXCEPTION_CHECK(severity)
#define BOOST_CHECK(x) BOOST_CHECK_IMP(x, error_on_fail)
#define BOOST_WARN(x) BOOST_CHECK_IMP(x, warn_on_fail)
#define BOOST_REQUIRE(x) BOOST_CHECK_IMP(x, abort_on_fail)
#define BOOST_CLOSE_IMP(x, y, tol, severity) \
BOOST_MP_TEST_TRY \
{ \
if (relative_error(x, y) > tol) \
{ \
BOOST_MP_REPORT_WHERE << " Failed check for closeness: \n" \
<< std::setprecision(digits_of(x)) << std::scientific \
<< "Value of LHS was: " << x << "\n" \
<< "Value of RHS was: " << y << "\n" \
<< std::setprecision(5) << std::fixed \
<< "Relative error was: " << relative_error(x, y) << "eps\n" \
<< "Tolerance was: " << tol << "eps" << std::endl; \
BOOST_MP_REPORT_SEVERITY(severity); \
} \
} \
BOOST_MP_UNEXPECTED_EXCEPTION_CHECK(severity)
#define BOOST_EQUAL_IMP(x, y, severity) \
BOOST_MP_TEST_TRY \
{ \
if (!((x) == (y))) \
{ \
BOOST_MP_REPORT_WHERE << " Failed check for equality: \n" \
<< std::setprecision(digits_of(x)) << std::scientific \
<< "Value of LHS was: " << (x) << "\n" \
<< "Value of RHS was: " << (y) << "\n" \
<< std::setprecision(3) << std::endl; \
BOOST_MP_REPORT_SEVERITY(severity); \
} \
} \
BOOST_MP_UNEXPECTED_EXCEPTION_CHECK(severity)
#define BOOST_NE_IMP(x, y, severity) \
BOOST_MP_TEST_TRY \
{ \
if (!(x != y)) \
{ \
BOOST_MP_REPORT_WHERE << " Failed check for non-equality: \n" \
<< std::setprecision(digits_of(x)) << std::scientific \
<< "Value of LHS was: " << x << "\n" \
<< "Value of RHS was: " << y << "\n" \
<< std::setprecision(3) << std::endl; \
BOOST_MP_REPORT_SEVERITY(severity); \
} \
} \
BOOST_MP_UNEXPECTED_EXCEPTION_CHECK(severity)
#define BOOST_LT_IMP(x, y, severity) \
BOOST_MP_TEST_TRY \
{ \
if (!(x < y)) \
{ \
BOOST_MP_REPORT_WHERE << " Failed check for less than: \n" \
<< std::setprecision(digits_of(x)) << std::scientific \
<< "Value of LHS was: " << x << "\n" \
<< "Value of RHS was: " << y << "\n" \
<< std::setprecision(3) << std::endl; \
BOOST_MP_REPORT_SEVERITY(severity); \
} \
} \
BOOST_MP_UNEXPECTED_EXCEPTION_CHECK(severity)
#define BOOST_GT_IMP(x, y, severity) \
BOOST_MP_TEST_TRY \
{ \
if (!(x > y)) \
{ \
BOOST_MP_REPORT_WHERE << " Failed check for greater than: \n" \
<< std::setprecision(digits_of(x)) << std::scientific \
<< "Value of LHS was: " << x << "\n" \
<< "Value of RHS was: " << y << "\n" \
<< std::setprecision(3) << std::endl; \
BOOST_MP_REPORT_SEVERITY(severity); \
} \
} \
BOOST_MP_UNEXPECTED_EXCEPTION_CHECK(severity)
#define BOOST_LE_IMP(x, y, severity) \
BOOST_MP_TEST_TRY \
{ \
if (!(x <= y)) \
{ \
BOOST_MP_REPORT_WHERE << " Failed check for less-than-equal-to: \n" \
<< std::setprecision(digits_of(x)) << std::scientific \
<< "Value of LHS was: " << x << "\n" \
<< "Value of RHS was: " << y << "\n" \
<< std::setprecision(3) << std::endl; \
BOOST_MP_REPORT_SEVERITY(severity); \
} \
} \
BOOST_MP_UNEXPECTED_EXCEPTION_CHECK(severity)
#define BOOST_GE_IMP(x, y, severity) \
BOOST_MP_TEST_TRY \
{ \
if (!(x >= y)) \
{ \
BOOST_MP_REPORT_WHERE << " Failed check for greater-than-equal-to \n" \
<< std::setprecision(digits_of(x)) << std::scientific \
<< "Value of LHS was: " << x << "\n" \
<< "Value of RHS was: " << y << "\n" \
<< std::setprecision(3) << std::endl; \
BOOST_MP_REPORT_SEVERITY(severity); \
} \
} \
BOOST_MP_UNEXPECTED_EXCEPTION_CHECK(severity)
#ifndef BOOST_NO_EXCEPTIONS
#define BOOST_MT_CHECK_THROW_IMP(x, E, severity) \
BOOST_MP_TEST_TRY \
{ \
x; \
BOOST_MP_REPORT_WHERE << " Expected exception not thrown in expression " << BOOST_STRINGIZE(x) << std::endl; \
BOOST_MP_REPORT_SEVERITY(severity); \
} \
catch (const E&) {} \
BOOST_MP_UNEXPECTED_EXCEPTION_CHECK(severity)
#else
#define BOOST_MT_CHECK_THROW_IMP(x, E, severity)
#endif
#define BOOST_CHECK_CLOSE(x, y, tol) BOOST_CLOSE_IMP(x, y, ((tol / (100 * epsilon_of(x)))), error_on_fail)
#define BOOST_WARN_CLOSE(x, y, tol) BOOST_CLOSE_IMP(x, y, (tol / (100 * epsilon_of(x))), warn_on_fail)
#define BOOST_REQUIRE_CLOSE(x, y, tol) BOOST_CLOSE_IMP(x, y, (tol / (100 * epsilon_of(x))), abort_on_fail)
#define BOOST_CHECK_CLOSE_FRACTION(x, y, tol) BOOST_CLOSE_IMP(x, y, ((tol / (epsilon_of(x)))), error_on_fail)
#define BOOST_WARN_CLOSE_FRACTION(x, y, tol) BOOST_CLOSE_IMP(x, y, (tol / (epsilon_of(x))), warn_on_fail)
#define BOOST_REQUIRE_CLOSE_FRACTION(x, y, tol) BOOST_CLOSE_IMP(x, y, (tol / (epsilon_of(x))), abort_on_fail)
#define BOOST_CHECK_EQUAL(x, y) BOOST_EQUAL_IMP(x, y, error_on_fail)
#define BOOST_WARN_EQUAL(x, y) BOOST_EQUAL_IMP(x, y, warn_on_fail)
#define BOOST_REQUIRE_EQUAL(x, y) BOOST_EQUAL_IMP(x, y, abort_on_fail)
#define BOOST_CHECK_NE(x, y) BOOST_NE_IMP(x, y, error_on_fail)
#define BOOST_WARN_NE(x, y) BOOST_NE_IMP(x, y, warn_on_fail)
#define BOOST_REQUIRE_NE(x, y) BOOST_NE_IMP(x, y, abort_on_fail)
#define BOOST_CHECK_LT(x, y) BOOST_LT_IMP(x, y, error_on_fail)
#define BOOST_WARN_LT(x, y) BOOST_LT_IMP(x, y, warn_on_fail)
#define BOOST_REQUIRE_LT(x, y) BOOST_LT_IMP(x, y, abort_on_fail)
#define BOOST_CHECK_GT(x, y) BOOST_GT_IMP(x, y, error_on_fail)
#define BOOST_WARN_GT(x, y) BOOST_GT_IMP(x, y, warn_on_fail)
#define BOOST_REQUIRE_GT(x, y) BOOST_GT_IMP(x, y, abort_on_fail)
#define BOOST_CHECK_LE(x, y) BOOST_LE_IMP(x, y, error_on_fail)
#define BOOST_WARN_LE(x, y) BOOST_LE_IMP(x, y, warn_on_fail)
#define BOOST_REQUIRE_LE(x, y) BOOST_LE_IMP(x, y, abort_on_fail)
#define BOOST_CHECK_GE(x, y) BOOST_GE_IMP(x, y, error_on_fail)
#define BOOST_WARN_GE(x, y) BOOST_GE_IMP(x, y, warn_on_fail)
#define BOOST_REQUIRE_GE(x, y) BOOST_GE_IMP(x, y, abort_on_fail)
#define BOOST_CHECK_THROW(x, E) BOOST_MT_CHECK_THROW_IMP(x, E, error_on_fail)
#define BOOST_WARN_THROW(x, E) BOOST_MT_CHECK_THROW_IMP(x, E, warn_on_fail)
#define BOOST_REQUIRE_THROW(x, E) BOOST_MT_CHECK_THROW_IMP(x, E, abort_on_fail)
#endif