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ff4b22bdecd9eed7ce33d0180d0b6495d68c0375
endian/test/floating_point_test.cpp
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Beman ff4b22bdec Add more auto_test cases.
2015-03-14 08:20:41 -04:00

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// floating_point_test.cpp -----------------------------------------------------------//
// Copyright Beman Dawes 2015
// Distributed under the Boost Software License, Version 1.0.
// See http://www.boost.org/LICENSE_1_0.txt
// See library home page at http://www.boost.org/libs/endian
//--------------------------------------------------------------------------------------//
#include <boost/endian/detail/disable_warnings.hpp>
//#define BOOST_ENDIAN_LOG
#include <boost/endian/conversion.hpp>
#include <boost/detail/lightweight_main.hpp>
#include <boost/endian/detail/lightweight_test.hpp>
#include <boost/array.hpp>
#include <boost/math/constants/constants.hpp>
#include <iostream>
#include <iomanip>
#include <sstream>
#include <algorithm>
#include <limits>
#include <cstring>
using namespace boost::endian;
using std::cout;
using std::endl;
using std::hex;
using std::dec;
using std::numeric_limits;
namespace
{
// to_big() and to_little() provide convenient independent functions for
// creating test values of known endianness.
template <class T>
T to_big(T x)
{
# ifdef BOOST_LITTLE_ENDIAN
std::reverse(reinterpret_cast<char*>(&x), reinterpret_cast<char*>(&x) + sizeof(T));
# endif
return x;
}
template <class T>
T to_little(T x)
{
# ifdef BOOST_BIG_ENDIAN
std::reverse(reinterpret_cast<char*>(&x), reinterpret_cast<char*>(&x) + sizeof(T));
# endif
return x;
}
template <class T>
struct test_case
{
std::string desc;
T value; // native value and representation
std::string big; // as hex characters; invariant size() == 2*sizeof(T)
std::string little; // as hex characters; invariant size() == 2*sizeof(T)
// big and little endian expected values are held as strings so representation is
// independent of platform endianness and readers do not have to perform mental
// gymnastics to reason about what the expected representation is for a platform.
const test_case& assign(const std::string& desc_, const T& value_,
const std::string& big_, const std::string& little_)
{
desc = desc_;
std::memcpy(&value, &value_, sizeof(T)); // use memcpy in case copy assignment or
// copy construction alters representation
big = big_;
little = little_;
return *this;
}
};
// to_big_inplace() and to_little_inplace() provide convenient independent functions to
// aid creating test values of known endianness. They do so in place to avoid the
// possibility that floating point assignment or copy construction modifies the
// representation, such as for normalization.
template <class T>
void to_big_inplace(T& x)
{
# ifdef BOOST_LITTLE_ENDIAN
std::reverse(reinterpret_cast<char*>(&x), reinterpret_cast<char*>(&x) + sizeof(T));
# endif
}
template <class T>
void to_little_inplace(T& x)
{
# ifdef BOOST_BIG_ENDIAN
std::reverse(reinterpret_cast<char*>(&x), reinterpret_cast<char*>(&x) + sizeof(T));
# endif
}
template <class T>
std::string to_hex(const T& x)
{
const char hex[] = { '0','1','2','3','4','5','6','7','8','9','a','b','c','d','e','f' };
std::string tmp;
const unsigned char* p = reinterpret_cast<const unsigned char*>(&x);
const unsigned char* e = p + sizeof(T);
for (; p < e; ++p)
{
tmp += hex[*p >> 4]; // high-order nibble
tmp += hex[*p & 0x0f]; // low-order nibble
}
return tmp;
}
const std::size_t n_test_cases = 10;
boost::array<test_case<float>, n_test_cases> float_test_cases;
boost::array<test_case<double>, n_test_cases> double_test_cases;
void build_auto_test_cases()
{
using namespace boost::math::constants;
int i = 0;
float_test_cases[i].assign("numeric_limits<float>::min()",
numeric_limits<float>::min(), "00800000", "00008000");
double_test_cases[i++].assign("numeric_limits<double>::min()",
numeric_limits<double>::min(), "0010000000000000", "0000000000001000");
float_test_cases[i].assign("numeric_limits<float>::max()",
numeric_limits<float>::max(), "7f7fffff", "ffff7f7f");
double_test_cases[i++].assign("numeric_limits<double>::max()",
numeric_limits<double>::max(), "7fefffffffffffff", "ffffffffffffef7f");
float_test_cases[i].assign("numeric_limits<float>::round_error()",
numeric_limits<float>::round_error(), "3f000000", "0000003f");
double_test_cases[i++].assign("numeric_limits<double>::round_error()",
numeric_limits<double>::round_error(), "3fe0000000000000", "000000000000e03f");
float_test_cases[i].assign("numeric_limits<float>::infinity()",
numeric_limits<float>::infinity(), "7f800000", "0000807f");
double_test_cases[i++].assign("numeric_limits<double>::infinity()",
numeric_limits<double>::infinity(), "7ff0000000000000", "000000000000f07f");
float_test_cases[i].assign("-numeric_limits<float>::infinity()",
-numeric_limits<float>::infinity(), "ff800000", "000080ff");
double_test_cases[i++].assign("-numeric_limits<double>::infinity()",
-numeric_limits<double>::infinity(), "fff0000000000000", "000000000000f0ff");
float_test_cases[i].assign("numeric_limits<float>::quiet_NaN()",
numeric_limits<float>::quiet_NaN(), "7fc00000", "0000c07f");
double_test_cases[i++].assign("numeric_limits<double>::quiet_NaN()",
numeric_limits<double>::quiet_NaN(), "7ff8000000000000", "000000000000f87f");
float_test_cases[i].assign("numeric_limits<float>::signaling_NaN()",
numeric_limits<float>::signaling_NaN(), "7fc00001", "0100c07f");
double_test_cases[i++].assign("numeric_limits<double>::signaling_NaN()",
numeric_limits<double>::signaling_NaN(), "7ff8000000000001", "010000000000f87f");
float_test_cases[i].assign("numeric_limits<float>::denorm_min()",
numeric_limits<float>::denorm_min(), "00000001", "01000000");
double_test_cases[i++].assign("numeric_limits<double>::denorm_min()",
numeric_limits<double>::denorm_min(), "0000000000000001", "0100000000000000");
float_test_cases[i].assign("pi<float>()",
pi<float>(), "40490fdb", "db0f4940");
double_test_cases[i++].assign("pi<double>()",
pi<double>(), "400921fb54442d18", "182d4454fb210940");
uint32_t vf1 (0x12345678U);
float_test_cases[i].assign("native uint32_t 0x12345678U as float",
*reinterpret_cast<const float*>(&vf1), "12345678", "78563412");
uint64_t vd1 (0x0123456789abcdefULL);
double_test_cases[i++].assign("native uint64_t 0x0123456789abcdefULL as double",
*reinterpret_cast<const double*>(&vd1), "0123456789abcdef", "efcdab8967452301");
BOOST_ASSERT(i == n_test_cases);
}
template <class T>
void show_value(const char* desc, const T& value)
{
cout << " " << desc << " " << value
<< ", native 0x" << to_hex(value)
<< ", big 0x" << to_hex(native_to_big(value))
<< ", little 0x" << to_hex(native_to_little(value)) << "\n";
}
template <class T>
void report_limits(const char* type)
{
using namespace boost::math::constants;
cout << "\nHeader <limits> values for std::numeric_limits<" << type << ">\n\n";
cout << " is_specialized " << numeric_limits<T>::is_specialized << "\n";
cout << " is_signed " << numeric_limits<T>::is_signed << "\n";
cout << " is_integer " << numeric_limits<T>::is_integer << "\n";
cout << " is_exact " << numeric_limits<T>::is_exact << "\n";
cout << " is_iec559 " << numeric_limits<T>::is_iec559 << "\n";
cout << " is_bounded " << numeric_limits<T>::is_bounded << "\n";
cout << " is_modulo " << numeric_limits<T>::is_modulo << "\n";
cout << " traps " << numeric_limits<T>::traps << "\n";
cout << " tinyness_before " << numeric_limits<T>::tinyness_before << "\n";
cout << " round_style " << numeric_limits<T>::round_style << "\n";
cout << " has_infinity " << numeric_limits<T>::has_infinity << "\n";
cout << " has_quiet_NaN " << numeric_limits<T>::has_quiet_NaN << "\n";
cout << " has_signaling_NaN " << numeric_limits<T>::has_signaling_NaN << "\n";
cout << " has_denorm " << numeric_limits<T>::has_denorm << "\n";
cout << " digits " << numeric_limits<T>::digits << "\n";
cout << " digits10 " << numeric_limits<T>::digits10 << "\n";
// cout << " max_digits10 " << numeric_limits<T>::max_digits10 << "\n";
cout << " radix " << numeric_limits<T>::radix << "\n";
cout << " min_exponent " << numeric_limits<T>::min_exponent << "\n";
cout << " min_exponent10 " << numeric_limits<T>::min_exponent10 << "\n";
cout << " max_exponent " << numeric_limits<T>::max_exponent << "\n";
cout << " max_exponent10 " << numeric_limits<T>::max_exponent10 << "\n";
show_value("min()", numeric_limits<T>::min());
show_value("max()", numeric_limits<T>::max());
// show_value("lowest()", numeric_limits<T>::lowest());
// show_value("epsilon()", numeric_limits<T>::epsilon());
show_value("round_error()", numeric_limits<T>::round_error());
show_value("infinity()", numeric_limits<T>::infinity());
show_value("-infinity()", -numeric_limits<T>::infinity());
show_value("quiet_NaN()", numeric_limits<T>::quiet_NaN());
show_value("signaling_NaN()", numeric_limits<T>::signaling_NaN());
show_value("denorm_min()", numeric_limits<T>::denorm_min());
show_value("0.0", static_cast<T>(0.0));
show_value("1.0", static_cast<T>(1.0));
show_value("pi()", pi<T>());
}
template <class T>
void round_trip_test(const char* type)
{
cout << type << " round trip test..." << endl;
BOOST_TEST_MEM_EQ(static_cast<T>(1.0), static_cast<T>(1.0)); // reality check
BOOST_TEST_MEM_EQ(endian_reverse(endian_reverse(numeric_limits<T>::min())),
numeric_limits<T>::min());
BOOST_TEST_MEM_EQ(endian_reverse(endian_reverse(numeric_limits<T>::max())),
numeric_limits<T>::max());
// BOOST_TEST_MEM_EQ(endian_reverse(endian_reverse(numeric_limits<T>::lowest())),
// numeric_limits<T>::lowest());
BOOST_TEST_MEM_EQ(endian_reverse(endian_reverse(numeric_limits<T>::epsilon())),
numeric_limits<T>::epsilon());
BOOST_TEST_MEM_EQ(endian_reverse(endian_reverse(numeric_limits<T>::round_error())),
numeric_limits<T>::round_error());
BOOST_TEST_MEM_EQ(endian_reverse(endian_reverse(numeric_limits<T>::infinity())),
numeric_limits<T>::infinity());
BOOST_TEST_MEM_EQ(endian_reverse(endian_reverse(numeric_limits<T>::quiet_NaN())),
numeric_limits<T>::quiet_NaN());
BOOST_TEST_MEM_EQ(endian_reverse(endian_reverse(numeric_limits<T>::signaling_NaN())),
numeric_limits<T>::signaling_NaN());
BOOST_TEST_MEM_EQ(endian_reverse(endian_reverse(numeric_limits<T>::denorm_min())),
numeric_limits<T>::denorm_min());
}
void float_value_test()
{
cout << "float value test..." << endl;
BOOST_TEST_MEM_EQ(native_to_big(numeric_limits<float>::min()), to_big(0x00800000));
BOOST_TEST_MEM_EQ(native_to_little(numeric_limits<float>::min()), to_little(0x00800000));
BOOST_TEST_MEM_EQ(native_to_big(numeric_limits<float>::max()), to_big(0x7f7fffff));
BOOST_TEST_MEM_EQ(native_to_little(numeric_limits<float>::max()), to_little(0x7f7fffff));
// BOOST_TEST_MEM_EQ(native_to_big(numeric_limits<float>::lowest()), to_big(0xff7fffff));
// BOOST_TEST_MEM_EQ(native_to_little(numeric_limits<float>::lowest()), to_little(0xff7fffff));
BOOST_TEST_MEM_EQ(native_to_big(numeric_limits<float>::epsilon()), to_big(0x34000000));
BOOST_TEST_MEM_EQ(native_to_little(numeric_limits<float>::epsilon()), to_little(0x34000000));
BOOST_TEST_MEM_EQ(native_to_big(numeric_limits<float>::round_error()), to_big(0x3f000000));
BOOST_TEST_MEM_EQ(native_to_little(numeric_limits<float>::round_error()), to_little(0x3f000000));
BOOST_TEST_MEM_EQ(native_to_big(numeric_limits<float>::infinity()), to_big(0x7f800000));
BOOST_TEST_MEM_EQ(native_to_little(numeric_limits<float>::infinity()), to_little(0x7f800000));
BOOST_TEST_MEM_EQ(native_to_big(-numeric_limits<float>::infinity()), to_big(0xff800000));
BOOST_TEST_MEM_EQ(native_to_little(-numeric_limits<float>::infinity()), to_little(0xff800000));
BOOST_TEST_MEM_EQ(native_to_big(numeric_limits<float>::quiet_NaN()), to_big(0x7fc00000));
BOOST_TEST_MEM_EQ(native_to_little(numeric_limits<float>::quiet_NaN()), to_little(0x7fc00000));
// BOOST_TEST_MEM_EQ(native_to_big(numeric_limits<float>::signaling_NaN()), to_big(0x7fc00001));
// BOOST_TEST_MEM_EQ(native_to_little(numeric_limits<float>::signaling_NaN()), to_little(0x7fc00001));
BOOST_TEST_MEM_EQ(native_to_big(numeric_limits<float>::denorm_min()), to_big(0x00000001));
BOOST_TEST_MEM_EQ(native_to_little(numeric_limits<float>::denorm_min()), to_little(0x00000001));
BOOST_TEST_MEM_EQ(native_to_big(0.0f), to_big(0x00000000));
BOOST_TEST_MEM_EQ(native_to_little(0.0f), to_little(0x00000000));
BOOST_TEST_MEM_EQ(native_to_big(1.0f), to_big(0x3f800000));
BOOST_TEST_MEM_EQ(native_to_little(1.0f), to_little(0x3f800000));
}
void double_value_test()
{
cout << "double value test..." << endl;
BOOST_TEST_MEM_EQ(to_big(numeric_limits<double>::min()), to_big(0x0010000000000000));
BOOST_TEST_MEM_EQ(native_to_big(numeric_limits<double>::min()), to_big(0x0010000000000000));
BOOST_TEST_MEM_EQ(native_to_little(numeric_limits<double>::min()), to_little(0x0010000000000000));
BOOST_TEST_MEM_EQ(native_to_big(numeric_limits<double>::max()), to_big(0x7fefffffffffffff));
BOOST_TEST_MEM_EQ(native_to_little(numeric_limits<double>::max()), to_little(0x7fefffffffffffff));
// BOOST_TEST_MEM_EQ(native_to_big(numeric_limits<double>::lowest()), to_big(0xffefffffffffffff));
// BOOST_TEST_MEM_EQ(native_to_little(numeric_limits<double>::lowest()), to_little(0xffefffffffffffff));
BOOST_TEST_MEM_EQ(native_to_big(numeric_limits<double>::epsilon()), to_big(0x3cb0000000000000));
BOOST_TEST_MEM_EQ(native_to_little(numeric_limits<double>::epsilon()), to_little(0x3cb0000000000000));
BOOST_TEST_MEM_EQ(native_to_big(numeric_limits<double>::round_error()), to_big(0x3fe0000000000000));
BOOST_TEST_MEM_EQ(native_to_little(numeric_limits<double>::round_error()), to_little(0x3fe0000000000000));
BOOST_TEST_MEM_EQ(native_to_big(numeric_limits<double>::infinity()), to_big(0x7ff0000000000000));
BOOST_TEST_MEM_EQ(native_to_little(numeric_limits<double>::infinity()), to_little(0x7ff0000000000000));
BOOST_TEST_MEM_EQ(native_to_big(-numeric_limits<double>::infinity()), to_big(0xfff0000000000000));
BOOST_TEST_MEM_EQ(native_to_little(-numeric_limits<double>::infinity()), to_little(0xfff0000000000000));
BOOST_TEST_MEM_EQ(native_to_big(numeric_limits<double>::quiet_NaN()), to_big(0x7ff8000000000000));
BOOST_TEST_MEM_EQ(native_to_little(numeric_limits<double>::quiet_NaN()), to_little(0x7ff8000000000000));
// BOOST_TEST_MEM_EQ(native_to_big(numeric_limits<double>::signaling_NaN()), to_big(0x7ff8000000000001));
// BOOST_TEST_MEM_EQ(native_to_little(numeric_limits<double>::signaling_NaN()), to_little(0x7ff8000000000001));
BOOST_TEST_MEM_EQ(native_to_big(numeric_limits<double>::denorm_min()), to_big(0x0000000000000001ULL));
BOOST_TEST_MEM_EQ(native_to_little(numeric_limits<double>::denorm_min()), to_little(0x0000000000000001ULL));
BOOST_TEST_MEM_EQ(native_to_big(0.0), to_big(0x0000000000000000ULL));
BOOST_TEST_MEM_EQ(native_to_little(0.0), to_little(0x0000000000000000ULL));
BOOST_TEST_MEM_EQ(native_to_big(1.0), to_big(0x3ff0000000000000ULL));
BOOST_TEST_MEM_EQ(native_to_little(1.0), to_little(0x3ff0000000000000ULL));
}
template <class T>
void auto_test(const char* msg, const boost::array<test_case<T>, n_test_cases>& cases)
{
cout << "auto test " << msg << " ..." << endl;
for (int i = 0; i < n_test_cases; ++i)
{
cout << " " << cases[i].desc << endl;
BOOST_TEST_EQ(to_hex(native_to_big(cases[i].value)), cases[i].big);
BOOST_TEST_EQ(to_hex(native_to_little(cases[i].value)), cases[i].little);
}
}
} // unnamed namespace
//--------------------------------------------------------------------------------------//
int cpp_main(int, char *[])
{
cout << "byte swap intrinsics: " BOOST_ENDIAN_INTRINSIC_MSG << endl;
//#define BOOST_ENDIAN_FORCE_ERROR
#ifdef BOOST_ENDIAN_FORCE_ERROR
BOOST_TEST_MEM_EQ(1.0f, 1.0);
BOOST_TEST_MEM_EQ(1.0f, 1.1f);
BOOST_TEST_MEM_EQ(1.0, 1.1);
#endif
report_limits<float>("float");
float_value_test();
round_trip_test<float>("float");
report_limits<double>("double");
double_value_test();
round_trip_test<double>("double");
build_auto_test_cases();
auto_test<float>("float", float_test_cases);
auto_test<double>("double", double_test_cases);
cout << "\n done" << endl;
return ::boost::endian::report_errors();
}
#include <boost/endian/detail/disable_warnings_pop.hpp>
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