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multiprecision/test/test_complex_signed_zero.cpp

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///////////////////////////////////////////////////////////////
// Copyright 2011 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
//
#include <boost/detail/lightweight_test.hpp>
#include <boost/math/special_functions/sign.hpp>
#include <complex>
#ifdef _MSC_VER
#define _SCL_SECURE_NO_WARNINGS
#endif
#if !defined(TEST_CPP_BIN_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_MPC)
#define TEST_CPP_BIN_FLOAT
#define TEST_DOUBLE
#define TEST_MPC
#endif
#ifdef TEST_CPP_BIN_FLOAT
#include <boost/multiprecision/cpp_complex.hpp>
#endif
#ifdef TEST_MPC
#include <boost/multiprecision/mpc.hpp>
#endif
template <class T>
void test()
{
using std::real;
using std::imag;
using std::signbit;
using std::isnan;
using value_type = typename T::value_type;
T result;
//
// Muliply the permutations which give at least one zero:
//
static constexpr std::array<std::array<double, 6>, 256> mul_data =
{ {
{{+0.000, +0.000, +0.000, +0.000, +0.000, +0.000}},
{{+0.000, +0.000, +0.000, -0.000, +0.000, +0.000}},
{{+0.000, +0.000, +0.000, +2.000, +0.000, +0.000}},
{{+0.000, +0.000, +0.000, -2.000, +0.000, +0.000}},
{{+0.000, +0.000, -0.000, +0.000, -0.000, +0.000}},
{{+0.000, +0.000, -0.000, -0.000, +0.000, -0.000}},
{{+0.000, +0.000, -0.000, +2.000, -0.000, +0.000}},
{{+0.000, +0.000, -0.000, -2.000, +0.000, -0.000}},
{{+0.000, +0.000, +2.000, +0.000, +0.000, +0.000}},
{{+0.000, +0.000, +2.000, -0.000, +0.000, +0.000}},
{{+0.000, +0.000, +2.000, +2.000, +0.000, +0.000}},
{{+0.000, +0.000, +2.000, -2.000, +0.000, +0.000}},
{{+0.000, +0.000, -2.000, +0.000, -0.000, +0.000}},
{{+0.000, +0.000, -2.000, -0.000, +0.000, -0.000}},
{{+0.000, +0.000, -2.000, +2.000, -0.000, +0.000}},
{{+0.000, +0.000, -2.000, -2.000, +0.000, -0.000}},
{{+0.000, -0.000, +0.000, +0.000, +0.000, +0.000}},
{{+0.000, -0.000, +0.000, -0.000, +0.000, -0.000}},
{{+0.000, -0.000, +0.000, +2.000, +0.000, +0.000}},
{{+0.000, -0.000, +0.000, -2.000, +0.000, -0.000}},
{{+0.000, -0.000, -0.000, +0.000, +0.000, +0.000}},
{{+0.000, -0.000, -0.000, -0.000, -0.000, +0.000}},
{{+0.000, -0.000, -0.000, +2.000, +0.000, +0.000}},
{{+0.000, -0.000, -0.000, -2.000, -0.000, +0.000}},
{{+0.000, -0.000, +2.000, +0.000, +0.000, +0.000}},
{{+0.000, -0.000, +2.000, -0.000, +0.000, -0.000}},
{{+0.000, -0.000, +2.000, +2.000, +0.000, +0.000}},
{{+0.000, -0.000, +2.000, -2.000, +0.000, -0.000}},
{{+0.000, -0.000, -2.000, +0.000, +0.000, +0.000}},
{{+0.000, -0.000, -2.000, -0.000, -0.000, +0.000}},
{{+0.000, -0.000, -2.000, +2.000, +0.000, +0.000}},
{{+0.000, -0.000, -2.000, -2.000, -0.000, +0.000}},
{{+0.000, +2.000, +0.000, +0.000, +0.000, +0.000}},
{{+0.000, +2.000, +0.000, -0.000, +0.000, +0.000}},
{{+0.000, +2.000, +0.000, +2.000, -4.000, +0.000}},
{{+0.000, +2.000, +0.000, -2.000, +4.000, +0.000}},
{{+0.000, +2.000, -0.000, +0.000, -0.000, +0.000}},
{{+0.000, +2.000, -0.000, -0.000, +0.000, -0.000}},
{{+0.000, +2.000, -0.000, +2.000, -4.000, +0.000}},
{{+0.000, +2.000, -0.000, -2.000, +4.000, -0.000}},
{{+0.000, +2.000, +2.000, +0.000, +0.000, +4.000}},
{{+0.000, +2.000, +2.000, -0.000, +0.000, +4.000}},
{{+0.000, +2.000, +2.000, +2.000, -4.000, +4.000}},
{{+0.000, +2.000, +2.000, -2.000, +4.000, +4.000}},
{{+0.000, +2.000, -2.000, +0.000, -0.000, -4.000}},
{{+0.000, +2.000, -2.000, -0.000, +0.000, -4.000}},
{{+0.000, +2.000, -2.000, +2.000, -4.000, -4.000}},
{{+0.000, +2.000, -2.000, -2.000, +4.000, -4.000}},
{{+0.000, -2.000, +0.000, +0.000, +0.000, +0.000}},
{{+0.000, -2.000, +0.000, -0.000, +0.000, -0.000}},
{{+0.000, -2.000, +0.000, +2.000, +4.000, +0.000}},
{{+0.000, -2.000, +0.000, -2.000, -4.000, -0.000}},
{{+0.000, -2.000, -0.000, +0.000, +0.000, +0.000}},
{{+0.000, -2.000, -0.000, -0.000, -0.000, +0.000}},
{{+0.000, -2.000, -0.000, +2.000, +4.000, +0.000}},
{{+0.000, -2.000, -0.000, -2.000, -4.000, +0.000}},
{{+0.000, -2.000, +2.000, +0.000, +0.000, -4.000}},
{{+0.000, -2.000, +2.000, -0.000, +0.000, -4.000}},
{{+0.000, -2.000, +2.000, +2.000, +4.000, -4.000}},
{{+0.000, -2.000, +2.000, -2.000, -4.000, -4.000}},
{{+0.000, -2.000, -2.000, +0.000, +0.000, +4.000}},
{{+0.000, -2.000, -2.000, -0.000, -0.000, +4.000}},
{{+0.000, -2.000, -2.000, +2.000, +4.000, +4.000}},
{{+0.000, -2.000, -2.000, -2.000, -4.000, +4.000}},
{{-0.000, +0.000, +0.000, +0.000, -0.000, +0.000}},
{{-0.000, +0.000, +0.000, -0.000, +0.000, +0.000}},
{{-0.000, +0.000, +0.000, +2.000, -0.000, +0.000}},
{{-0.000, +0.000, +0.000, -2.000, +0.000, +0.000}},
{{-0.000, +0.000, -0.000, +0.000, +0.000, -0.000}},
{{-0.000, +0.000, -0.000, -0.000, +0.000, +0.000}},
{{-0.000, +0.000, -0.000, +2.000, +0.000, -0.000}},
{{-0.000, +0.000, -0.000, -2.000, +0.000, +0.000}},
{{-0.000, +0.000, +2.000, +0.000, -0.000, +0.000}},
{{-0.000, +0.000, +2.000, -0.000, +0.000, +0.000}},
{{-0.000, +0.000, +2.000, +2.000, -0.000, +0.000}},
{{-0.000, +0.000, +2.000, -2.000, +0.000, +0.000}},
{{-0.000, +0.000, -2.000, +0.000, +0.000, -0.000}},
{{-0.000, +0.000, -2.000, -0.000, +0.000, +0.000}},
{{-0.000, +0.000, -2.000, +2.000, +0.000, -0.000}},
{{-0.000, +0.000, -2.000, -2.000, +0.000, +0.000}},
{{-0.000, -0.000, +0.000, +0.000, +0.000, -0.000}},
{{-0.000, -0.000, +0.000, -0.000, -0.000, +0.000}},
{{-0.000, -0.000, +0.000, +2.000, +0.000, -0.000}},
{{-0.000, -0.000, +0.000, -2.000, -0.000, +0.000}},
{{-0.000, -0.000, -0.000, +0.000, +0.000, +0.000}},
{{-0.000, -0.000, -0.000, -0.000, +0.000, +0.000}},
{{-0.000, -0.000, -0.000, +2.000, +0.000, +0.000}},
{{-0.000, -0.000, -0.000, -2.000, +0.000, +0.000}},
{{-0.000, -0.000, +2.000, +0.000, +0.000, -0.000}},
{{-0.000, -0.000, +2.000, -0.000, -0.000, +0.000}},
{{-0.000, -0.000, +2.000, +2.000, +0.000, -0.000}},
{{-0.000, -0.000, +2.000, -2.000, -0.000, +0.000}},
{{-0.000, -0.000, -2.000, +0.000, +0.000, +0.000}},
{{-0.000, -0.000, -2.000, -0.000, +0.000, +0.000}},
{{-0.000, -0.000, -2.000, +2.000, +0.000, +0.000}},
{{-0.000, -0.000, -2.000, -2.000, +0.000, +0.000}},
{{-0.000, +2.000, +0.000, +0.000, -0.000, +0.000}},
{{-0.000, +2.000, +0.000, -0.000, +0.000, +0.000}},
{{-0.000, +2.000, +0.000, +2.000, -4.000, +0.000}},
{{-0.000, +2.000, +0.000, -2.000, +4.000, +0.000}},
{{-0.000, +2.000, -0.000, +0.000, +0.000, -0.000}},
{{-0.000, +2.000, -0.000, -0.000, +0.000, +0.000}},
{{-0.000, +2.000, -0.000, +2.000, -4.000, -0.000}},
{{-0.000, +2.000, -0.000, -2.000, +4.000, +0.000}},
{{-0.000, +2.000, +2.000, +0.000, -0.000, +4.000}},
{{-0.000, +2.000, +2.000, -0.000, +0.000, +4.000}},
{{-0.000, +2.000, +2.000, +2.000, -4.000, +4.000}},
{{-0.000, +2.000, +2.000, -2.000, +4.000, +4.000}},
{{-0.000, +2.000, -2.000, +0.000, +0.000, -4.000}},
{{-0.000, +2.000, -2.000, -0.000, +0.000, -4.000}},
{{-0.000, +2.000, -2.000, +2.000, -4.000, -4.000}},
{{-0.000, +2.000, -2.000, -2.000, +4.000, -4.000}},
{{-0.000, -2.000, +0.000, +0.000, +0.000, -0.000}},
{{-0.000, -2.000, +0.000, -0.000, -0.000, +0.000}},
{{-0.000, -2.000, +0.000, +2.000, +4.000, -0.000}},
{{-0.000, -2.000, +0.000, -2.000, -4.000, +0.000}},
{{-0.000, -2.000, -0.000, +0.000, +0.000, +0.000}},
{{-0.000, -2.000, -0.000, -0.000, +0.000, +0.000}},
{{-0.000, -2.000, -0.000, +2.000, +4.000, +0.000}},
{{-0.000, -2.000, -0.000, -2.000, -4.000, +0.000}},
{{-0.000, -2.000, +2.000, +0.000, +0.000, -4.000}},
{{-0.000, -2.000, +2.000, -0.000, -0.000, -4.000}},
{{-0.000, -2.000, +2.000, +2.000, +4.000, -4.000}},
{{-0.000, -2.000, +2.000, -2.000, -4.000, -4.000}},
{{-0.000, -2.000, -2.000, +0.000, +0.000, +4.000}},
{{-0.000, -2.000, -2.000, -0.000, +0.000, +4.000}},
{{-0.000, -2.000, -2.000, +2.000, +4.000, +4.000}},
{{-0.000, -2.000, -2.000, -2.000, -4.000, +4.000}},
{{+2.000, +0.000, +0.000, +0.000, +0.000, +0.000}},
{{+2.000, +0.000, +0.000, -0.000, +0.000, +0.000}},
{{+2.000, +0.000, +0.000, +2.000, +0.000, +4.000}},
{{+2.000, +0.000, +0.000, -2.000, +0.000, -4.000}},
{{+2.000, +0.000, -0.000, +0.000, -0.000, +0.000}},
{{+2.000, +0.000, -0.000, -0.000, +0.000, -0.000}},
{{+2.000, +0.000, -0.000, +2.000, -0.000, +4.000}},
{{+2.000, +0.000, -0.000, -2.000, +0.000, -4.000}},
{{+2.000, +0.000, +2.000, +0.000, +4.000, +0.000}},
{{+2.000, +0.000, +2.000, -0.000, +4.000, +0.000}},
{{+2.000, +0.000, +2.000, +2.000, +4.000, +4.000}},
{{+2.000, +0.000, +2.000, -2.000, +4.000, -4.000}},
{{+2.000, +0.000, -2.000, +0.000, -4.000, +0.000}},
{{+2.000, +0.000, -2.000, -0.000, -4.000, -0.000}},
{{+2.000, +0.000, -2.000, +2.000, -4.000, +4.000}},
{{+2.000, +0.000, -2.000, -2.000, -4.000, -4.000}},
{{+2.000, -0.000, +0.000, +0.000, +0.000, +0.000}},
{{+2.000, -0.000, +0.000, -0.000, +0.000, -0.000}},
{{+2.000, -0.000, +0.000, +2.000, +0.000, +4.000}},
{{+2.000, -0.000, +0.000, -2.000, +0.000, -4.000}},
{{+2.000, -0.000, -0.000, +0.000, +0.000, +0.000}},
{{+2.000, -0.000, -0.000, -0.000, -0.000, +0.000}},
{{+2.000, -0.000, -0.000, +2.000, +0.000, +4.000}},
{{+2.000, -0.000, -0.000, -2.000, -0.000, -4.000}},
{{+2.000, -0.000, +2.000, +0.000, +4.000, +0.000}},
{{+2.000, -0.000, +2.000, -0.000, +4.000, -0.000}},
{{+2.000, -0.000, +2.000, +2.000, +4.000, +4.000}},
{{+2.000, -0.000, +2.000, -2.000, +4.000, -4.000}},
{{+2.000, -0.000, -2.000, +0.000, -4.000, +0.000}},
{{+2.000, -0.000, -2.000, -0.000, -4.000, +0.000}},
{{+2.000, -0.000, -2.000, +2.000, -4.000, +4.000}},
{{+2.000, -0.000, -2.000, -2.000, -4.000, -4.000}},
{{+2.000, +2.000, +0.000, +0.000, +0.000, +0.000}},
{{+2.000, +2.000, +0.000, -0.000, +0.000, +0.000}},
{{+2.000, +2.000, +0.000, +2.000, -4.000, +4.000}},
{{+2.000, +2.000, +0.000, -2.000, +4.000, -4.000}},
{{+2.000, +2.000, -0.000, +0.000, -0.000, +0.000}},
{{+2.000, +2.000, -0.000, -0.000, +0.000, -0.000}},
{{+2.000, +2.000, -0.000, +2.000, -4.000, +4.000}},
{{+2.000, +2.000, -0.000, -2.000, +4.000, -4.000}},
{{+2.000, +2.000, +2.000, +0.000, +4.000, +4.000}},
{{+2.000, +2.000, +2.000, -0.000, +4.000, +4.000}},
{{+2.000, +2.000, +2.000, +2.000, +0.000, +8.000}},
{{+2.000, +2.000, +2.000, -2.000, +8.000, +0.000}},
{{+2.000, +2.000, -2.000, +0.000, -4.000, -4.000}},
{{+2.000, +2.000, -2.000, -0.000, -4.000, -4.000}},
{{+2.000, +2.000, -2.000, +2.000, -8.000, +0.000}},
{{+2.000, +2.000, -2.000, -2.000, +0.000, -8.000}},
{{+2.000, -2.000, +0.000, +0.000, +0.000, +0.000}},
{{+2.000, -2.000, +0.000, -0.000, +0.000, -0.000}},
{{+2.000, -2.000, +0.000, +2.000, +4.000, +4.000}},
{{+2.000, -2.000, +0.000, -2.000, -4.000, -4.000}},
{{+2.000, -2.000, -0.000, +0.000, +0.000, +0.000}},
{{+2.000, -2.000, -0.000, -0.000, -0.000, +0.000}},
{{+2.000, -2.000, -0.000, +2.000, +4.000, +4.000}},
{{+2.000, -2.000, -0.000, -2.000, -4.000, -4.000}},
{{+2.000, -2.000, +2.000, +0.000, +4.000, -4.000}},
{{+2.000, -2.000, +2.000, -0.000, +4.000, -4.000}},
{{+2.000, -2.000, +2.000, +2.000, +8.000, +0.000}},
{{+2.000, -2.000, +2.000, -2.000, +0.000, -8.000}},
{{+2.000, -2.000, -2.000, +0.000, -4.000, +4.000}},
{{+2.000, -2.000, -2.000, -0.000, -4.000, +4.000}},
{{+2.000, -2.000, -2.000, +2.000, +0.000, +8.000}},
{{+2.000, -2.000, -2.000, -2.000, -8.000, +0.000}},
{{-2.000, +0.000, +0.000, +0.000, -0.000, +0.000}},
{{-2.000, +0.000, +0.000, -0.000, +0.000, +0.000}},
{{-2.000, +0.000, +0.000, +2.000, -0.000, -4.000}},
{{-2.000, +0.000, +0.000, -2.000, +0.000, +4.000}},
{{-2.000, +0.000, -0.000, +0.000, +0.000, -0.000}},
{{-2.000, +0.000, -0.000, -0.000, +0.000, +0.000}},
{{-2.000, +0.000, -0.000, +2.000, +0.000, -4.000}},
{{-2.000, +0.000, -0.000, -2.000, +0.000, +4.000}},
{{-2.000, +0.000, +2.000, +0.000, -4.000, +0.000}},
{{-2.000, +0.000, +2.000, -0.000, -4.000, +0.000}},
{{-2.000, +0.000, +2.000, +2.000, -4.000, -4.000}},
{{-2.000, +0.000, +2.000, -2.000, -4.000, +4.000}},
{{-2.000, +0.000, -2.000, +0.000, +4.000, -0.000}},
{{-2.000, +0.000, -2.000, -0.000, +4.000, +0.000}},
{{-2.000, +0.000, -2.000, +2.000, +4.000, -4.000}},
{{-2.000, +0.000, -2.000, -2.000, +4.000, +4.000}},
{{-2.000, -0.000, +0.000, +0.000, +0.000, -0.000}},
{{-2.000, -0.000, +0.000, -0.000, -0.000, +0.000}},
{{-2.000, -0.000, +0.000, +2.000, +0.000, -4.000}},
{{-2.000, -0.000, +0.000, -2.000, -0.000, +4.000}},
{{-2.000, -0.000, -0.000, +0.000, +0.000, +0.000}},
{{-2.000, -0.000, -0.000, -0.000, +0.000, +0.000}},
{{-2.000, -0.000, -0.000, +2.000, +0.000, -4.000}},
{{-2.000, -0.000, -0.000, -2.000, +0.000, +4.000}},
{{-2.000, -0.000, +2.000, +0.000, -4.000, -0.000}},
{{-2.000, -0.000, +2.000, -0.000, -4.000, +0.000}},
{{-2.000, -0.000, +2.000, +2.000, -4.000, -4.000}},
{{-2.000, -0.000, +2.000, -2.000, -4.000, +4.000}},
{{-2.000, -0.000, -2.000, +0.000, +4.000, +0.000}},
{{-2.000, -0.000, -2.000, -0.000, +4.000, +0.000}},
{{-2.000, -0.000, -2.000, +2.000, +4.000, -4.000}},
{{-2.000, -0.000, -2.000, -2.000, +4.000, +4.000}},
{{-2.000, +2.000, +0.000, +0.000, -0.000, +0.000}},
{{-2.000, +2.000, +0.000, -0.000, +0.000, +0.000}},
{{-2.000, +2.000, +0.000, +2.000, -4.000, -4.000}},
{{-2.000, +2.000, +0.000, -2.000, +4.000, +4.000}},
{{-2.000, +2.000, -0.000, +0.000, +0.000, -0.000}},
{{-2.000, +2.000, -0.000, -0.000, +0.000, +0.000}},
{{-2.000, +2.000, -0.000, +2.000, -4.000, -4.000}},
{{-2.000, +2.000, -0.000, -2.000, +4.000, +4.000}},
{{-2.000, +2.000, +2.000, +0.000, -4.000, +4.000}},
{{-2.000, +2.000, +2.000, -0.000, -4.000, +4.000}},
{{-2.000, +2.000, +2.000, +2.000, -8.000, +0.000}},
{{-2.000, +2.000, +2.000, -2.000, +0.000, +8.000}},
{{-2.000, +2.000, -2.000, +0.000, +4.000, -4.000}},
{{-2.000, +2.000, -2.000, -0.000, +4.000, -4.000}},
{{-2.000, +2.000, -2.000, +2.000, +0.000, -8.000}},
{{-2.000, +2.000, -2.000, -2.000, +8.000, +0.000}},
{{-2.000, -2.000, +0.000, +0.000, +0.000, -0.000}},
{{-2.000, -2.000, +0.000, -0.000, -0.000, +0.000}},
{{-2.000, -2.000, +0.000, +2.000, +4.000, -4.000}},
{{-2.000, -2.000, +0.000, -2.000, -4.000, +4.000}},
{{-2.000, -2.000, -0.000, +0.000, +0.000, +0.000}},
{{-2.000, -2.000, -0.000, -0.000, +0.000, +0.000}},
{{-2.000, -2.000, -0.000, +2.000, +4.000, -4.000}},
{{-2.000, -2.000, -0.000, -2.000, -4.000, +4.000}},
{{-2.000, -2.000, +2.000, +0.000, -4.000, -4.000}},
{{-2.000, -2.000, +2.000, -0.000, -4.000, -4.000}},
{{-2.000, -2.000, +2.000, +2.000, +0.000, -8.000}},
{{-2.000, -2.000, +2.000, -2.000, -8.000, +0.000}},
{{-2.000, -2.000, -2.000, +0.000, +4.000, +4.000}},
{{-2.000, -2.000, -2.000, -0.000, +4.000, +4.000}},
{{-2.000, -2.000, -2.000, +2.000, +8.000, +0.000}},
{{-2.000, -2.000, -2.000, -2.000, +0.000, +8.000}},
}};
for (unsigned i = 0; i < mul_data.size(); ++i)
{
result = T(mul_data[i][0], mul_data[i][1]) * T(mul_data[i][2], mul_data[i][3]);
BOOST_TEST(result.real() == mul_data[i][4]);
BOOST_TEST(result.imag() == mul_data[i][5]);
BOOST_TEST((bool)signbit(result.real()) == signbit(mul_data[i][4]));
BOOST_TEST((bool)signbit(result.imag()) == signbit(mul_data[i][5]));
}
//
// Divide the permutations which give at least one zero:
//
static constexpr std::array<std::array<double, 6>, 256> div_data =
{ {
{{ +0.000, +0.000, +0.000, +0.000, std::numeric_limits<double>::quiet_NaN(), std::numeric_limits<double>::quiet_NaN() }},
{{ +0.000, +0.000, +0.000, -0.000, std::numeric_limits<double>::quiet_NaN(), std::numeric_limits<double>::quiet_NaN() }},
{{ +0.000, +0.000, +0.000, +2.000, +0.000, +0.000 }},
{{ +0.000, +0.000, +0.000, -2.000, +0.000, +0.000 }},
{{ +0.000, +0.000, -0.000, +0.000, std::numeric_limits<double>::quiet_NaN(), std::numeric_limits<double>::quiet_NaN() }},
{{ +0.000, +0.000, -0.000, -0.000, std::numeric_limits<double>::quiet_NaN(), std::numeric_limits<double>::quiet_NaN() }},
{{ +0.000, +0.000, -0.000, +2.000, +0.000, -0.000 }},
{{ +0.000, +0.000, -0.000, -2.000, -0.000, +0.000 }},
{{ +0.000, +0.000, +2.000, +0.000, +0.000, +0.000 }},
{{ +0.000, +0.000, +2.000, -0.000, +0.000, +0.000 }},
{{ +0.000, +0.000, +2.000, +2.000, +0.000, +0.000 }},
{{ +0.000, +0.000, +2.000, -2.000, +0.000, +0.000 }},
{{ +0.000, +0.000, -2.000, +0.000, +0.000, -0.000 }},
{{ +0.000, +0.000, -2.000, -0.000, -0.000, +0.000 }},
{{ +0.000, +0.000, -2.000, +2.000, +0.000, -0.000 }},
{{ +0.000, +0.000, -2.000, -2.000, -0.000, +0.000 }},
{{ +0.000, -0.000, +0.000, +0.000, std::numeric_limits<double>::quiet_NaN(), std::numeric_limits<double>::quiet_NaN() }},
{{ +0.000, -0.000, +0.000, -0.000, std::numeric_limits<double>::quiet_NaN(), std::numeric_limits<double>::quiet_NaN() }},
{{ +0.000, -0.000, +0.000, +2.000, +0.000, -0.000 }},
{{ +0.000, -0.000, +0.000, -2.000, +0.000, +0.000 }},
{{ +0.000, -0.000, -0.000, +0.000, std::numeric_limits<double>::quiet_NaN(), std::numeric_limits<double>::quiet_NaN() }},
{{ +0.000, -0.000, -0.000, -0.000, std::numeric_limits<double>::quiet_NaN(), std::numeric_limits<double>::quiet_NaN() }},
{{ +0.000, -0.000, -0.000, +2.000, -0.000, +0.000 }},
{{ +0.000, -0.000, -0.000, -2.000, +0.000, +0.000 }},
{{ +0.000, -0.000, +2.000, +0.000, +0.000, -0.000 }},
{{ +0.000, -0.000, +2.000, -0.000, +0.000, +0.000 }},
{{ +0.000, -0.000, +2.000, +2.000, +0.000, -0.000 }},
{{ +0.000, -0.000, +2.000, -2.000, +0.000, +0.000 }},
{{ +0.000, -0.000, -2.000, +0.000, -0.000, +0.000 }},
{{ +0.000, -0.000, -2.000, -0.000, +0.000, +0.000 }},
{{ +0.000, -0.000, -2.000, +2.000, -0.000, +0.000 }},
{{ +0.000, -0.000, -2.000, -2.000, +0.000, +0.000 }},
{{ +0.000, +2.000, +0.000, +0.000, std::numeric_limits<double>::quiet_NaN(), +std::numeric_limits<double>::infinity() }},
{{ +0.000, +2.000, +0.000, -0.000, std::numeric_limits<double>::quiet_NaN(), +std::numeric_limits<double>::infinity() }},
{{ +0.000, +2.000, +0.000, +2.000, +1.000, +0.000 }},
{{ +0.000, +2.000, +0.000, -2.000, -1.000, +0.000 }},
{{ +0.000, +2.000, -0.000, +0.000, std::numeric_limits<double>::quiet_NaN(), -std::numeric_limits<double>::infinity() }},
{{ +0.000, +2.000, -0.000, -0.000, std::numeric_limits<double>::quiet_NaN(), -std::numeric_limits<double>::infinity() }},
{{ +0.000, +2.000, -0.000, +2.000, +1.000, -0.000 }},
{{ +0.000, +2.000, -0.000, -2.000, -1.000, +0.000 }},
{{ +0.000, +2.000, +2.000, +0.000, +0.000, +1.000 }},
{{ +0.000, +2.000, +2.000, -0.000, +0.000, +1.000 }},
{{ +0.000, +2.000, +2.000, +2.000, +0.500, +0.500 }},
{{ +0.000, +2.000, +2.000, -2.000, -0.500, +0.500 }},
{{ +0.000, +2.000, -2.000, +0.000, +0.000, -1.000 }},
{{ +0.000, +2.000, -2.000, -0.000, -0.000, -1.000 }},
{{ +0.000, +2.000, -2.000, +2.000, +0.500, -0.500 }},
{{ +0.000, +2.000, -2.000, -2.000, -0.500, -0.500 }},
{{ +0.000, -2.000, +0.000, +0.000, std::numeric_limits<double>::quiet_NaN(), -std::numeric_limits<double>::infinity() }},
{{ +0.000, -2.000, +0.000, -0.000, std::numeric_limits<double>::quiet_NaN(), -std::numeric_limits<double>::infinity() }},
{{ +0.000, -2.000, +0.000, +2.000, -1.000, -0.000 }},
{{ +0.000, -2.000, +0.000, -2.000, +1.000, +0.000 }},
{{ +0.000, -2.000, -0.000, +0.000, std::numeric_limits<double>::quiet_NaN(), +std::numeric_limits<double>::infinity() }},
{{ +0.000, -2.000, -0.000, -0.000, std::numeric_limits<double>::quiet_NaN(), +std::numeric_limits<double>::infinity() }},
{{ +0.000, -2.000, -0.000, +2.000, -1.000, +0.000 }},
{{ +0.000, -2.000, -0.000, -2.000, +1.000, +0.000 }},
{{ +0.000, -2.000, +2.000, +0.000, +0.000, -1.000 }},
{{ +0.000, -2.000, +2.000, -0.000, +0.000, -1.000 }},
{{ +0.000, -2.000, +2.000, +2.000, -0.500, -0.500 }},
{{ +0.000, -2.000, +2.000, -2.000, +0.500, -0.500 }},
{{ +0.000, -2.000, -2.000, +0.000, -0.000, +1.000 }},
{{ +0.000, -2.000, -2.000, -0.000, +0.000, +1.000 }},
{{ +0.000, -2.000, -2.000, +2.000, -0.500, +0.500 }},
{{ +0.000, -2.000, -2.000, -2.000, +0.500, +0.500 }},
{{ -0.000, +0.000, +0.000, +0.000, std::numeric_limits<double>::quiet_NaN(), std::numeric_limits<double>::quiet_NaN() }},
{{ -0.000, +0.000, +0.000, -0.000, std::numeric_limits<double>::quiet_NaN(), std::numeric_limits<double>::quiet_NaN() }},
{{ -0.000, +0.000, +0.000, +2.000, +0.000, +0.000 }},
{{ -0.000, +0.000, +0.000, -2.000, -0.000, +0.000 }},
{{ -0.000, +0.000, -0.000, +0.000, std::numeric_limits<double>::quiet_NaN(), std::numeric_limits<double>::quiet_NaN() }},
{{ -0.000, +0.000, -0.000, -0.000, std::numeric_limits<double>::quiet_NaN(), std::numeric_limits<double>::quiet_NaN() }},
{{ -0.000, +0.000, -0.000, +2.000, +0.000, +0.000 }},
{{ -0.000, +0.000, -0.000, -2.000, +0.000, -0.000 }},
{{ -0.000, +0.000, +2.000, +0.000, +0.000, +0.000 }},
{{ -0.000, +0.000, +2.000, -0.000, -0.000, +0.000 }},
{{ -0.000, +0.000, +2.000, +2.000, +0.000, +0.000 }},
{{ -0.000, +0.000, +2.000, -2.000, -0.000, +0.000 }},
{{ -0.000, +0.000, -2.000, +0.000, +0.000, +0.000 }},
{{ -0.000, +0.000, -2.000, -0.000, +0.000, -0.000 }},
{{ -0.000, +0.000, -2.000, +2.000, +0.000, +0.000 }},
{{ -0.000, +0.000, -2.000, -2.000, +0.000, -0.000 }},
{{ -0.000, -0.000, +0.000, +0.000, std::numeric_limits<double>::quiet_NaN(), std::numeric_limits<double>::quiet_NaN() }},
{{ -0.000, -0.000, +0.000, -0.000, std::numeric_limits<double>::quiet_NaN(), std::numeric_limits<double>::quiet_NaN() }},
{{ -0.000, -0.000, +0.000, +2.000, -0.000, +0.000 }},
{{ -0.000, -0.000, +0.000, -2.000, +0.000, -0.000 }},
{{ -0.000, -0.000, -0.000, +0.000, std::numeric_limits<double>::quiet_NaN(), std::numeric_limits<double>::quiet_NaN() }},
{{ -0.000, -0.000, -0.000, -0.000, std::numeric_limits<double>::quiet_NaN(), std::numeric_limits<double>::quiet_NaN() }},
{{ -0.000, -0.000, -0.000, +2.000, +0.000, +0.000 }},
{{ -0.000, -0.000, -0.000, -2.000, +0.000, +0.000 }},
{{ -0.000, -0.000, +2.000, +0.000, -0.000, +0.000 }},
{{ -0.000, -0.000, +2.000, -0.000, +0.000, -0.000 }},
{{ -0.000, -0.000, +2.000, +2.000, -0.000, +0.000 }},
{{ -0.000, -0.000, +2.000, -2.000, +0.000, -0.000 }},
{{ -0.000, -0.000, -2.000, +0.000, +0.000, +0.000 }},
{{ -0.000, -0.000, -2.000, -0.000, +0.000, +0.000 }},
{{ -0.000, -0.000, -2.000, +2.000, +0.000, +0.000 }},
{{ -0.000, -0.000, -2.000, -2.000, +0.000, +0.000 }},
{{ -0.000, +2.000, +0.000, +0.000, std::numeric_limits<double>::quiet_NaN(), +std::numeric_limits<double>::infinity() }},
{{ -0.000, +2.000, +0.000, -0.000, std::numeric_limits<double>::quiet_NaN(), +std::numeric_limits<double>::infinity() }},
{{ -0.000, +2.000, +0.000, +2.000, +1.000, +0.000 }},
{{ -0.000, +2.000, +0.000, -2.000, -1.000, +0.000 }},
{{ -0.000, +2.000, -0.000, +0.000, std::numeric_limits<double>::quiet_NaN(), -std::numeric_limits<double>::infinity() }},
{{ -0.000, +2.000, -0.000, -0.000, std::numeric_limits<double>::quiet_NaN(), -std::numeric_limits<double>::infinity() }},
{{ -0.000, +2.000, -0.000, +2.000, +1.000, +0.000 }},
{{ -0.000, +2.000, -0.000, -2.000, -1.000, -0.000 }},
{{ -0.000, +2.000, +2.000, +0.000, +0.000, +1.000 }},
{{ -0.000, +2.000, +2.000, -0.000, -0.000, +1.000 }},
{{ -0.000, +2.000, +2.000, +2.000, +0.500, +0.500 }},
{{ -0.000, +2.000, +2.000, -2.000, -0.500, +0.500 }},
{{ -0.000, +2.000, -2.000, +0.000, +0.000, -1.000 }},
{{ -0.000, +2.000, -2.000, -0.000, +0.000, -1.000 }},
{{ -0.000, +2.000, -2.000, +2.000, +0.500, -0.500 }},
{{ -0.000, +2.000, -2.000, -2.000, -0.500, -0.500 }},
{{ -0.000, -2.000, +0.000, +0.000, std::numeric_limits<double>::quiet_NaN(), -std::numeric_limits<double>::infinity() }},
{{ -0.000, -2.000, +0.000, -0.000, std::numeric_limits<double>::quiet_NaN(), -std::numeric_limits<double>::infinity() }},
{{ -0.000, -2.000, +0.000, +2.000, -1.000, +0.000 }},
{{ -0.000, -2.000, +0.000, -2.000, +1.000, -0.000 }},
{{ -0.000, -2.000, -0.000, +0.000, std::numeric_limits<double>::quiet_NaN(), +std::numeric_limits<double>::infinity() }},
{{ -0.000, -2.000, -0.000, -0.000, std::numeric_limits<double>::quiet_NaN(), +std::numeric_limits<double>::infinity() }},
{{ -0.000, -2.000, -0.000, +2.000, -1.000, +0.000 }},
{{ -0.000, -2.000, -0.000, -2.000, +1.000, +0.000 }},
{{ -0.000, -2.000, +2.000, +0.000, -0.000, -1.000 }},
{{ -0.000, -2.000, +2.000, -0.000, +0.000, -1.000 }},
{{ -0.000, -2.000, +2.000, +2.000, -0.500, -0.500 }},
{{ -0.000, -2.000, +2.000, -2.000, +0.500, -0.500 }},
{{ -0.000, -2.000, -2.000, +0.000, +0.000, +1.000 }},
{{ -0.000, -2.000, -2.000, -0.000, +0.000, +1.000 }},
{{ -0.000, -2.000, -2.000, +2.000, -0.500, +0.500 }},
{{ -0.000, -2.000, -2.000, -2.000, +0.500, +0.500 }},
{{ +2.000, +0.000, +0.000, +0.000, +std::numeric_limits<double>::infinity(), std::numeric_limits<double>::quiet_NaN() }},
{{ +2.000, +0.000, +0.000, -0.000, +std::numeric_limits<double>::infinity(), std::numeric_limits<double>::quiet_NaN() }},
{{ +2.000, +0.000, +0.000, +2.000, +0.000, -1.000 }},
{{ +2.000, +0.000, +0.000, -2.000, +0.000, +1.000 }},
{{ +2.000, +0.000, -0.000, +0.000, -std::numeric_limits<double>::infinity(), std::numeric_limits<double>::quiet_NaN() }},
{{ +2.000, +0.000, -0.000, -0.000, -std::numeric_limits<double>::infinity(), std::numeric_limits<double>::quiet_NaN() }},
{{ +2.000, +0.000, -0.000, +2.000, +0.000, -1.000 }},
{{ +2.000, +0.000, -0.000, -2.000, -0.000, +1.000 }},
{{ +2.000, +0.000, +2.000, +0.000, +1.000, +0.000 }},
{{ +2.000, +0.000, +2.000, -0.000, +1.000, +0.000 }},
{{ +2.000, +0.000, +2.000, +2.000, +0.500, -0.500 }},
{{ +2.000, +0.000, +2.000, -2.000, +0.500, +0.500 }},
{{ +2.000, +0.000, -2.000, +0.000, -1.000, -0.000 }},
{{ +2.000, +0.000, -2.000, -0.000, -1.000, +0.000 }},
{{ +2.000, +0.000, -2.000, +2.000, -0.500, -0.500 }},
{{ +2.000, +0.000, -2.000, -2.000, -0.500, +0.500 }},
{{ +2.000, -0.000, +0.000, +0.000, +std::numeric_limits<double>::infinity(), std::numeric_limits<double>::quiet_NaN() }},
{{ +2.000, -0.000, +0.000, -0.000, +std::numeric_limits<double>::infinity(), std::numeric_limits<double>::quiet_NaN() }},
{{ +2.000, -0.000, +0.000, +2.000, +0.000, -1.000 }},
{{ +2.000, -0.000, +0.000, -2.000, +0.000, +1.000 }},
{{ +2.000, -0.000, -0.000, +0.000, -std::numeric_limits<double>::infinity(), std::numeric_limits<double>::quiet_NaN() }},
{{ +2.000, -0.000, -0.000, -0.000, -std::numeric_limits<double>::infinity(), std::numeric_limits<double>::quiet_NaN() }},
{{ +2.000, -0.000, -0.000, +2.000, -0.000, -1.000 }},
{{ +2.000, -0.000, -0.000, -2.000, +0.000, +1.000 }},
{{ +2.000, -0.000, +2.000, +0.000, +1.000, -0.000 }},
{{ +2.000, -0.000, +2.000, -0.000, +1.000, +0.000 }},
{{ +2.000, -0.000, +2.000, +2.000, +0.500, -0.500 }},
{{ +2.000, -0.000, +2.000, -2.000, +0.500, +0.500 }},
{{ +2.000, -0.000, -2.000, +0.000, -1.000, +0.000 }},
{{ +2.000, -0.000, -2.000, -0.000, -1.000, +0.000 }},
{{ +2.000, -0.000, -2.000, +2.000, -0.500, -0.500 }},
{{ +2.000, -0.000, -2.000, -2.000, -0.500, +0.500 }},
{{ +2.000, +2.000, +0.000, +0.000, +std::numeric_limits<double>::infinity(), +std::numeric_limits<double>::infinity() }},
{{ +2.000, +2.000, +0.000, -0.000, +std::numeric_limits<double>::infinity(), +std::numeric_limits<double>::infinity() }},
{{ +2.000, +2.000, +0.000, +2.000, +1.000, -1.000 }},
{{ +2.000, +2.000, +0.000, -2.000, -1.000, +1.000 }},
{{ +2.000, +2.000, -0.000, +0.000, -std::numeric_limits<double>::infinity(), -std::numeric_limits<double>::infinity() }},
{{ +2.000, +2.000, -0.000, -0.000, -std::numeric_limits<double>::infinity(), -std::numeric_limits<double>::infinity() }},
{{ +2.000, +2.000, -0.000, +2.000, +1.000, -1.000 }},
{{ +2.000, +2.000, -0.000, -2.000, -1.000, +1.000 }},
{{ +2.000, +2.000, +2.000, +0.000, +1.000, +1.000 }},
{{ +2.000, +2.000, +2.000, -0.000, +1.000, +1.000 }},
{{ +2.000, +2.000, +2.000, +2.000, +1.000, +0.000 }},
{{ +2.000, +2.000, +2.000, -2.000, +0.000, +1.000 }},
{{ +2.000, +2.000, -2.000, +0.000, -1.000, -1.000 }},
{{ +2.000, +2.000, -2.000, -0.000, -1.000, -1.000 }},
{{ +2.000, +2.000, -2.000, +2.000, +0.000, -1.000 }},
{{ +2.000, +2.000, -2.000, -2.000, -1.000, +0.000 }},
{{ +2.000, -2.000, +0.000, +0.000, +std::numeric_limits<double>::infinity(), -std::numeric_limits<double>::infinity() }},
{{ +2.000, -2.000, +0.000, -0.000, +std::numeric_limits<double>::infinity(), -std::numeric_limits<double>::infinity() }},
{{ +2.000, -2.000, +0.000, +2.000, -1.000, -1.000 }},
{{ +2.000, -2.000, +0.000, -2.000, +1.000, +1.000 }},
{{ +2.000, -2.000, -0.000, +0.000, -std::numeric_limits<double>::infinity(), +std::numeric_limits<double>::infinity() }},
{{ +2.000, -2.000, -0.000, -0.000, -std::numeric_limits<double>::infinity(), +std::numeric_limits<double>::infinity() }},
{{ +2.000, -2.000, -0.000, +2.000, -1.000, -1.000 }},
{{ +2.000, -2.000, -0.000, -2.000, +1.000, +1.000 }},
{{ +2.000, -2.000, +2.000, +0.000, +1.000, -1.000 }},
{{ +2.000, -2.000, +2.000, -0.000, +1.000, -1.000 }},
{{ +2.000, -2.000, +2.000, +2.000, +0.000, -1.000 }},
{{ +2.000, -2.000, +2.000, -2.000, +1.000, +0.000 }},
{{ +2.000, -2.000, -2.000, +0.000, -1.000, +1.000 }},
{{ +2.000, -2.000, -2.000, -0.000, -1.000, +1.000 }},
{{ +2.000, -2.000, -2.000, +2.000, -1.000, +0.000 }},
{{ +2.000, -2.000, -2.000, -2.000, +0.000, +1.000 }},
{{ -2.000, +0.000, +0.000, +0.000, -std::numeric_limits<double>::infinity(), std::numeric_limits<double>::quiet_NaN() }},
{{ -2.000, +0.000, +0.000, -0.000, -std::numeric_limits<double>::infinity(), std::numeric_limits<double>::quiet_NaN() }},
{{ -2.000, +0.000, +0.000, +2.000, +0.000, +1.000 }},
{{ -2.000, +0.000, +0.000, -2.000, -0.000, -1.000 }},
{{ -2.000, +0.000, -0.000, +0.000, +std::numeric_limits<double>::infinity(), std::numeric_limits<double>::quiet_NaN() }},
{{ -2.000, +0.000, -0.000, -0.000, +std::numeric_limits<double>::infinity(), std::numeric_limits<double>::quiet_NaN() }},
{{ -2.000, +0.000, -0.000, +2.000, +0.000, +1.000 }},
{{ -2.000, +0.000, -0.000, -2.000, +0.000, -1.000 }},
{{ -2.000, +0.000, +2.000, +0.000, -1.000, +0.000 }},
{{ -2.000, +0.000, +2.000, -0.000, -1.000, +0.000 }},
{{ -2.000, +0.000, +2.000, +2.000, -0.500, +0.500 }},
{{ -2.000, +0.000, +2.000, -2.000, -0.500, -0.500 }},
{{ -2.000, +0.000, -2.000, +0.000, +1.000, +0.000 }},
{{ -2.000, +0.000, -2.000, -0.000, +1.000, -0.000 }},
{{ -2.000, +0.000, -2.000, +2.000, +0.500, +0.500 }},
{{ -2.000, +0.000, -2.000, -2.000, +0.500, -0.500 }},
{{ -2.000, -0.000, +0.000, +0.000, -std::numeric_limits<double>::infinity(), std::numeric_limits<double>::quiet_NaN() }},
{{ -2.000, -0.000, +0.000, -0.000, -std::numeric_limits<double>::infinity(), std::numeric_limits<double>::quiet_NaN() }},
{{ -2.000, -0.000, +0.000, +2.000, -0.000, +1.000 }},
{{ -2.000, -0.000, +0.000, -2.000, +0.000, -1.000 }},
{{ -2.000, -0.000, -0.000, +0.000, +std::numeric_limits<double>::infinity(), std::numeric_limits<double>::quiet_NaN() }},
{{ -2.000, -0.000, -0.000, -0.000, +std::numeric_limits<double>::infinity(), std::numeric_limits<double>::quiet_NaN() }},
{{ -2.000, -0.000, -0.000, +2.000, +0.000, +1.000 }},
{{ -2.000, -0.000, -0.000, -2.000, +0.000, -1.000 }},
{{ -2.000, -0.000, +2.000, +0.000, -1.000, +0.000 }},
{{ -2.000, -0.000, +2.000, -0.000, -1.000, -0.000 }},
{{ -2.000, -0.000, +2.000, +2.000, -0.500, +0.500 }},
{{ -2.000, -0.000, +2.000, -2.000, -0.500, -0.500 }},
{{ -2.000, -0.000, -2.000, +0.000, +1.000, +0.000 }},
{{ -2.000, -0.000, -2.000, -0.000, +1.000, +0.000 }},
{{ -2.000, -0.000, -2.000, +2.000, +0.500, +0.500 }},
{{ -2.000, -0.000, -2.000, -2.000, +0.500, -0.500 }},
{{ -2.000, +2.000, +0.000, +0.000, -std::numeric_limits<double>::infinity(), +std::numeric_limits<double>::infinity() }},
{{ -2.000, +2.000, +0.000, -0.000, -std::numeric_limits<double>::infinity(), +std::numeric_limits<double>::infinity() }},
{{ -2.000, +2.000, +0.000, +2.000, +1.000, +1.000 }},
{{ -2.000, +2.000, +0.000, -2.000, -1.000, -1.000 }},
{{ -2.000, +2.000, -0.000, +0.000, +std::numeric_limits<double>::infinity(), -std::numeric_limits<double>::infinity() }},
{{ -2.000, +2.000, -0.000, -0.000, +std::numeric_limits<double>::infinity(), -std::numeric_limits<double>::infinity() }},
{{ -2.000, +2.000, -0.000, +2.000, +1.000, +1.000 }},
{{ -2.000, +2.000, -0.000, -2.000, -1.000, -1.000 }},
{{ -2.000, +2.000, +2.000, +0.000, -1.000, +1.000 }},
{{ -2.000, +2.000, +2.000, -0.000, -1.000, +1.000 }},
{{ -2.000, +2.000, +2.000, +2.000, +0.000, +1.000 }},
{{ -2.000, +2.000, +2.000, -2.000, -1.000, +0.000 }},
{{ -2.000, +2.000, -2.000, +0.000, +1.000, -1.000 }},
{{ -2.000, +2.000, -2.000, -0.000, +1.000, -1.000 }},
{{ -2.000, +2.000, -2.000, +2.000, +1.000, +0.000 }},
{{ -2.000, +2.000, -2.000, -2.000, +0.000, -1.000 }},
{{ -2.000, -2.000, +0.000, +0.000, -std::numeric_limits<double>::infinity(), -std::numeric_limits<double>::infinity() }},
{{ -2.000, -2.000, +0.000, -0.000, -std::numeric_limits<double>::infinity(), -std::numeric_limits<double>::infinity() }},
{{ -2.000, -2.000, +0.000, +2.000, -1.000, +1.000 }},
{{ -2.000, -2.000, +0.000, -2.000, +1.000, -1.000 }},
{{ -2.000, -2.000, -0.000, +0.000, +std::numeric_limits<double>::infinity(), +std::numeric_limits<double>::infinity() }},
{{ -2.000, -2.000, -0.000, -0.000, +std::numeric_limits<double>::infinity(), +std::numeric_limits<double>::infinity() }},
{{ -2.000, -2.000, -0.000, +2.000, -1.000, +1.000 }},
{{ -2.000, -2.000, -0.000, -2.000, +1.000, -1.000 }},
{{ -2.000, -2.000, +2.000, +0.000, -1.000, -1.000 }},
{{ -2.000, -2.000, +2.000, -0.000, -1.000, -1.000 }},
{{ -2.000, -2.000, +2.000, +2.000, -1.000, +0.000 }},
{{ -2.000, -2.000, +2.000, -2.000, +0.000, -1.000 }},
{{ -2.000, -2.000, -2.000, +0.000, +1.000, +1.000 }},
{{ -2.000, -2.000, -2.000, -0.000, +1.000, +1.000 }},
{{ -2.000, -2.000, -2.000, +2.000, +0.000, +1.000 }},
{{ -2.000, -2.000, -2.000, -2.000, +1.000, +0.000 }},
}};
for (unsigned i = 0; i < div_data.size(); ++i)
{
if (!(isnan)(div_data[i][4]) && !(isnan)(div_data[i][5]))
{
result = T(div_data[i][0], div_data[i][1]) / T(div_data[i][2], div_data[i][3]);
BOOST_TEST(result.real() == div_data[i][4]);
BOOST_TEST(result.imag() == div_data[i][5]);
BOOST_TEST((bool)signbit(result.real()) == signbit(div_data[i][4]));
BOOST_TEST((bool)signbit(result.imag()) == signbit(div_data[i][5]));
}
}
//
// Add the permutations:
//
static constexpr std::array<std::array<double, 6>, 256> add_data =
{ {
{{+0.000, +0.000, +0.000, +0.000, +0.000, +0.000}},
{{+0.000, +0.000, +0.000, -0.000, +0.000, +0.000}},
{{+0.000, +0.000, +0.000, +2.000, +0.000, +2.000}},
{{+0.000, +0.000, +0.000, -2.000, +0.000, -2.000}},
{{+0.000, +0.000, -0.000, +0.000, +0.000, +0.000}},
{{+0.000, +0.000, -0.000, -0.000, +0.000, +0.000}},
{{+0.000, +0.000, -0.000, +2.000, +0.000, +2.000}},
{{+0.000, +0.000, -0.000, -2.000, +0.000, -2.000}},
{{+0.000, +0.000, +2.000, +0.000, +2.000, +0.000}},
{{+0.000, +0.000, +2.000, -0.000, +2.000, +0.000}},
{{+0.000, +0.000, +2.000, +2.000, +2.000, +2.000}},
{{+0.000, +0.000, +2.000, -2.000, +2.000, -2.000}},
{{+0.000, +0.000, -2.000, +0.000, -2.000, +0.000}},
{{+0.000, +0.000, -2.000, -0.000, -2.000, +0.000}},
{{+0.000, +0.000, -2.000, +2.000, -2.000, +2.000}},
{{+0.000, +0.000, -2.000, -2.000, -2.000, -2.000}},
{{+0.000, -0.000, +0.000, +0.000, +0.000, +0.000}},
{{+0.000, -0.000, +0.000, -0.000, +0.000, -0.000}},
{{+0.000, -0.000, +0.000, +2.000, +0.000, +2.000}},
{{+0.000, -0.000, +0.000, -2.000, +0.000, -2.000}},
{{+0.000, -0.000, -0.000, +0.000, +0.000, +0.000}},
{{+0.000, -0.000, -0.000, -0.000, +0.000, -0.000}},
{{+0.000, -0.000, -0.000, +2.000, +0.000, +2.000}},
{{+0.000, -0.000, -0.000, -2.000, +0.000, -2.000}},
{{+0.000, -0.000, +2.000, +0.000, +2.000, +0.000}},
{{+0.000, -0.000, +2.000, -0.000, +2.000, -0.000}},
{{+0.000, -0.000, +2.000, +2.000, +2.000, +2.000}},
{{+0.000, -0.000, +2.000, -2.000, +2.000, -2.000}},
{{+0.000, -0.000, -2.000, +0.000, -2.000, +0.000}},
{{+0.000, -0.000, -2.000, -0.000, -2.000, -0.000}},
{{+0.000, -0.000, -2.000, +2.000, -2.000, +2.000}},
{{+0.000, -0.000, -2.000, -2.000, -2.000, -2.000}},
{{+0.000, +2.000, +0.000, +0.000, +0.000, +2.000}},
{{+0.000, +2.000, +0.000, -0.000, +0.000, +2.000}},
{{+0.000, +2.000, +0.000, +2.000, +0.000, +4.000}},
{{+0.000, +2.000, +0.000, -2.000, +0.000, +0.000}},
{{+0.000, +2.000, -0.000, +0.000, +0.000, +2.000}},
{{+0.000, +2.000, -0.000, -0.000, +0.000, +2.000}},
{{+0.000, +2.000, -0.000, +2.000, +0.000, +4.000}},
{{+0.000, +2.000, -0.000, -2.000, +0.000, +0.000}},
{{+0.000, +2.000, +2.000, +0.000, +2.000, +2.000}},
{{+0.000, +2.000, +2.000, -0.000, +2.000, +2.000}},
{{+0.000, +2.000, +2.000, +2.000, +2.000, +4.000}},
{{+0.000, +2.000, +2.000, -2.000, +2.000, +0.000}},
{{+0.000, +2.000, -2.000, +0.000, -2.000, +2.000}},
{{+0.000, +2.000, -2.000, -0.000, -2.000, +2.000}},
{{+0.000, +2.000, -2.000, +2.000, -2.000, +4.000}},
{{+0.000, +2.000, -2.000, -2.000, -2.000, +0.000}},
{{+0.000, -2.000, +0.000, +0.000, +0.000, -2.000}},
{{+0.000, -2.000, +0.000, -0.000, +0.000, -2.000}},
{{+0.000, -2.000, +0.000, +2.000, +0.000, +0.000}},
{{+0.000, -2.000, +0.000, -2.000, +0.000, -4.000}},
{{+0.000, -2.000, -0.000, +0.000, +0.000, -2.000}},
{{+0.000, -2.000, -0.000, -0.000, +0.000, -2.000}},
{{+0.000, -2.000, -0.000, +2.000, +0.000, +0.000}},
{{+0.000, -2.000, -0.000, -2.000, +0.000, -4.000}},
{{+0.000, -2.000, +2.000, +0.000, +2.000, -2.000}},
{{+0.000, -2.000, +2.000, -0.000, +2.000, -2.000}},
{{+0.000, -2.000, +2.000, +2.000, +2.000, +0.000}},
{{+0.000, -2.000, +2.000, -2.000, +2.000, -4.000}},
{{+0.000, -2.000, -2.000, +0.000, -2.000, -2.000}},
{{+0.000, -2.000, -2.000, -0.000, -2.000, -2.000}},
{{+0.000, -2.000, -2.000, +2.000, -2.000, +0.000}},
{{+0.000, -2.000, -2.000, -2.000, -2.000, -4.000}},
{{-0.000, +0.000, +0.000, +0.000, +0.000, +0.000}},
{{-0.000, +0.000, +0.000, -0.000, +0.000, +0.000}},
{{-0.000, +0.000, +0.000, +2.000, +0.000, +2.000}},
{{-0.000, +0.000, +0.000, -2.000, +0.000, -2.000}},
{{-0.000, +0.000, -0.000, +0.000, -0.000, +0.000}},
{{-0.000, +0.000, -0.000, -0.000, -0.000, +0.000}},
{{-0.000, +0.000, -0.000, +2.000, -0.000, +2.000}},
{{-0.000, +0.000, -0.000, -2.000, -0.000, -2.000}},
{{-0.000, +0.000, +2.000, +0.000, +2.000, +0.000}},
{{-0.000, +0.000, +2.000, -0.000, +2.000, +0.000}},
{{-0.000, +0.000, +2.000, +2.000, +2.000, +2.000}},
{{-0.000, +0.000, +2.000, -2.000, +2.000, -2.000}},
{{-0.000, +0.000, -2.000, +0.000, -2.000, +0.000}},
{{-0.000, +0.000, -2.000, -0.000, -2.000, +0.000}},
{{-0.000, +0.000, -2.000, +2.000, -2.000, +2.000}},
{{-0.000, +0.000, -2.000, -2.000, -2.000, -2.000}},
{{-0.000, -0.000, +0.000, +0.000, +0.000, +0.000}},
{{-0.000, -0.000, +0.000, -0.000, +0.000, -0.000}},
{{-0.000, -0.000, +0.000, +2.000, +0.000, +2.000}},
{{-0.000, -0.000, +0.000, -2.000, +0.000, -2.000}},
{{-0.000, -0.000, -0.000, +0.000, -0.000, +0.000}},
{{-0.000, -0.000, -0.000, -0.000, -0.000, -0.000}},
{{-0.000, -0.000, -0.000, +2.000, -0.000, +2.000}},
{{-0.000, -0.000, -0.000, -2.000, -0.000, -2.000}},
{{-0.000, -0.000, +2.000, +0.000, +2.000, +0.000}},
{{-0.000, -0.000, +2.000, -0.000, +2.000, -0.000}},
{{-0.000, -0.000, +2.000, +2.000, +2.000, +2.000}},
{{-0.000, -0.000, +2.000, -2.000, +2.000, -2.000}},
{{-0.000, -0.000, -2.000, +0.000, -2.000, +0.000}},
{{-0.000, -0.000, -2.000, -0.000, -2.000, -0.000}},
{{-0.000, -0.000, -2.000, +2.000, -2.000, +2.000}},
{{-0.000, -0.000, -2.000, -2.000, -2.000, -2.000}},
{{-0.000, +2.000, +0.000, +0.000, +0.000, +2.000}},
{{-0.000, +2.000, +0.000, -0.000, +0.000, +2.000}},
{{-0.000, +2.000, +0.000, +2.000, +0.000, +4.000}},
{{-0.000, +2.000, +0.000, -2.000, +0.000, +0.000}},
{{-0.000, +2.000, -0.000, +0.000, -0.000, +2.000}},
{{-0.000, +2.000, -0.000, -0.000, -0.000, +2.000}},
{{-0.000, +2.000, -0.000, +2.000, -0.000, +4.000}},
{{-0.000, +2.000, -0.000, -2.000, -0.000, +0.000}},
{{-0.000, +2.000, +2.000, +0.000, +2.000, +2.000}},
{{-0.000, +2.000, +2.000, -0.000, +2.000, +2.000}},
{{-0.000, +2.000, +2.000, +2.000, +2.000, +4.000}},
{{-0.000, +2.000, +2.000, -2.000, +2.000, +0.000}},
{{-0.000, +2.000, -2.000, +0.000, -2.000, +2.000}},
{{-0.000, +2.000, -2.000, -0.000, -2.000, +2.000}},
{{-0.000, +2.000, -2.000, +2.000, -2.000, +4.000}},
{{-0.000, +2.000, -2.000, -2.000, -2.000, +0.000}},
{{-0.000, -2.000, +0.000, +0.000, +0.000, -2.000}},
{{-0.000, -2.000, +0.000, -0.000, +0.000, -2.000}},
{{-0.000, -2.000, +0.000, +2.000, +0.000, +0.000}},
{{-0.000, -2.000, +0.000, -2.000, +0.000, -4.000}},
{{-0.000, -2.000, -0.000, +0.000, -0.000, -2.000}},
{{-0.000, -2.000, -0.000, -0.000, -0.000, -2.000}},
{{-0.000, -2.000, -0.000, +2.000, -0.000, +0.000}},
{{-0.000, -2.000, -0.000, -2.000, -0.000, -4.000}},
{{-0.000, -2.000, +2.000, +0.000, +2.000, -2.000}},
{{-0.000, -2.000, +2.000, -0.000, +2.000, -2.000}},
{{-0.000, -2.000, +2.000, +2.000, +2.000, +0.000}},
{{-0.000, -2.000, +2.000, -2.000, +2.000, -4.000}},
{{-0.000, -2.000, -2.000, +0.000, -2.000, -2.000}},
{{-0.000, -2.000, -2.000, -0.000, -2.000, -2.000}},
{{-0.000, -2.000, -2.000, +2.000, -2.000, +0.000}},
{{-0.000, -2.000, -2.000, -2.000, -2.000, -4.000}},
{{+2.000, +0.000, +0.000, +0.000, +2.000, +0.000}},
{{+2.000, +0.000, +0.000, -0.000, +2.000, +0.000}},
{{+2.000, +0.000, +0.000, +2.000, +2.000, +2.000}},
{{+2.000, +0.000, +0.000, -2.000, +2.000, -2.000}},
{{+2.000, +0.000, -0.000, +0.000, +2.000, +0.000}},
{{+2.000, +0.000, -0.000, -0.000, +2.000, +0.000}},
{{+2.000, +0.000, -0.000, +2.000, +2.000, +2.000}},
{{+2.000, +0.000, -0.000, -2.000, +2.000, -2.000}},
{{+2.000, +0.000, +2.000, +0.000, +4.000, +0.000}},
{{+2.000, +0.000, +2.000, -0.000, +4.000, +0.000}},
{{+2.000, +0.000, +2.000, +2.000, +4.000, +2.000}},
{{+2.000, +0.000, +2.000, -2.000, +4.000, -2.000}},
{{+2.000, +0.000, -2.000, +0.000, +0.000, +0.000}},
{{+2.000, +0.000, -2.000, -0.000, +0.000, +0.000}},
{{+2.000, +0.000, -2.000, +2.000, +0.000, +2.000}},
{{+2.000, +0.000, -2.000, -2.000, +0.000, -2.000}},
{{+2.000, -0.000, +0.000, +0.000, +2.000, +0.000}},
{{+2.000, -0.000, +0.000, -0.000, +2.000, -0.000}},
{{+2.000, -0.000, +0.000, +2.000, +2.000, +2.000}},
{{+2.000, -0.000, +0.000, -2.000, +2.000, -2.000}},
{{+2.000, -0.000, -0.000, +0.000, +2.000, +0.000}},
{{+2.000, -0.000, -0.000, -0.000, +2.000, -0.000}},
{{+2.000, -0.000, -0.000, +2.000, +2.000, +2.000}},
{{+2.000, -0.000, -0.000, -2.000, +2.000, -2.000}},
{{+2.000, -0.000, +2.000, +0.000, +4.000, +0.000}},
{{+2.000, -0.000, +2.000, -0.000, +4.000, -0.000}},
{{+2.000, -0.000, +2.000, +2.000, +4.000, +2.000}},
{{+2.000, -0.000, +2.000, -2.000, +4.000, -2.000}},
{{+2.000, -0.000, -2.000, +0.000, +0.000, +0.000}},
{{+2.000, -0.000, -2.000, -0.000, +0.000, -0.000}},
{{+2.000, -0.000, -2.000, +2.000, +0.000, +2.000}},
{{+2.000, -0.000, -2.000, -2.000, +0.000, -2.000}},
{{+2.000, +2.000, +0.000, +0.000, +2.000, +2.000}},
{{+2.000, +2.000, +0.000, -0.000, +2.000, +2.000}},
{{+2.000, +2.000, +0.000, +2.000, +2.000, +4.000}},
{{+2.000, +2.000, +0.000, -2.000, +2.000, +0.000}},
{{+2.000, +2.000, -0.000, +0.000, +2.000, +2.000}},
{{+2.000, +2.000, -0.000, -0.000, +2.000, +2.000}},
{{+2.000, +2.000, -0.000, +2.000, +2.000, +4.000}},
{{+2.000, +2.000, -0.000, -2.000, +2.000, +0.000}},
{{+2.000, +2.000, +2.000, +0.000, +4.000, +2.000}},
{{+2.000, +2.000, +2.000, -0.000, +4.000, +2.000}},
{{+2.000, +2.000, +2.000, +2.000, +4.000, +4.000}},
{{+2.000, +2.000, +2.000, -2.000, +4.000, +0.000}},
{{+2.000, +2.000, -2.000, +0.000, +0.000, +2.000}},
{{+2.000, +2.000, -2.000, -0.000, +0.000, +2.000}},
{{+2.000, +2.000, -2.000, +2.000, +0.000, +4.000}},
{{+2.000, +2.000, -2.000, -2.000, +0.000, +0.000}},
{{+2.000, -2.000, +0.000, +0.000, +2.000, -2.000}},
{{+2.000, -2.000, +0.000, -0.000, +2.000, -2.000}},
{{+2.000, -2.000, +0.000, +2.000, +2.000, +0.000}},
{{+2.000, -2.000, +0.000, -2.000, +2.000, -4.000}},
{{+2.000, -2.000, -0.000, +0.000, +2.000, -2.000}},
{{+2.000, -2.000, -0.000, -0.000, +2.000, -2.000}},
{{+2.000, -2.000, -0.000, +2.000, +2.000, +0.000}},
{{+2.000, -2.000, -0.000, -2.000, +2.000, -4.000}},
{{+2.000, -2.000, +2.000, +0.000, +4.000, -2.000}},
{{+2.000, -2.000, +2.000, -0.000, +4.000, -2.000}},
{{+2.000, -2.000, +2.000, +2.000, +4.000, +0.000}},
{{+2.000, -2.000, +2.000, -2.000, +4.000, -4.000}},
{{+2.000, -2.000, -2.000, +0.000, +0.000, -2.000}},
{{+2.000, -2.000, -2.000, -0.000, +0.000, -2.000}},
{{+2.000, -2.000, -2.000, +2.000, +0.000, +0.000}},
{{+2.000, -2.000, -2.000, -2.000, +0.000, -4.000}},
{{-2.000, +0.000, +0.000, +0.000, -2.000, +0.000}},
{{-2.000, +0.000, +0.000, -0.000, -2.000, +0.000}},
{{-2.000, +0.000, +0.000, +2.000, -2.000, +2.000}},
{{-2.000, +0.000, +0.000, -2.000, -2.000, -2.000}},
{{-2.000, +0.000, -0.000, +0.000, -2.000, +0.000}},
{{-2.000, +0.000, -0.000, -0.000, -2.000, +0.000}},
{{-2.000, +0.000, -0.000, +2.000, -2.000, +2.000}},
{{-2.000, +0.000, -0.000, -2.000, -2.000, -2.000}},
{{-2.000, +0.000, +2.000, +0.000, +0.000, +0.000}},
{{-2.000, +0.000, +2.000, -0.000, +0.000, +0.000}},
{{-2.000, +0.000, +2.000, +2.000, +0.000, +2.000}},
{{-2.000, +0.000, +2.000, -2.000, +0.000, -2.000}},
{{-2.000, +0.000, -2.000, +0.000, -4.000, +0.000}},
{{-2.000, +0.000, -2.000, -0.000, -4.000, +0.000}},
{{-2.000, +0.000, -2.000, +2.000, -4.000, +2.000}},
{{-2.000, +0.000, -2.000, -2.000, -4.000, -2.000}},
{{-2.000, -0.000, +0.000, +0.000, -2.000, +0.000}},
{{-2.000, -0.000, +0.000, -0.000, -2.000, -0.000}},
{{-2.000, -0.000, +0.000, +2.000, -2.000, +2.000}},
{{-2.000, -0.000, +0.000, -2.000, -2.000, -2.000}},
{{-2.000, -0.000, -0.000, +0.000, -2.000, +0.000}},
{{-2.000, -0.000, -0.000, -0.000, -2.000, -0.000}},
{{-2.000, -0.000, -0.000, +2.000, -2.000, +2.000}},
{{-2.000, -0.000, -0.000, -2.000, -2.000, -2.000}},
{{-2.000, -0.000, +2.000, +0.000, +0.000, +0.000}},
{{-2.000, -0.000, +2.000, -0.000, +0.000, -0.000}},
{{-2.000, -0.000, +2.000, +2.000, +0.000, +2.000}},
{{-2.000, -0.000, +2.000, -2.000, +0.000, -2.000}},
{{-2.000, -0.000, -2.000, +0.000, -4.000, +0.000}},
{{-2.000, -0.000, -2.000, -0.000, -4.000, -0.000}},
{{-2.000, -0.000, -2.000, +2.000, -4.000, +2.000}},
{{-2.000, -0.000, -2.000, -2.000, -4.000, -2.000}},
{{-2.000, +2.000, +0.000, +0.000, -2.000, +2.000}},
{{-2.000, +2.000, +0.000, -0.000, -2.000, +2.000}},
{{-2.000, +2.000, +0.000, +2.000, -2.000, +4.000}},
{{-2.000, +2.000, +0.000, -2.000, -2.000, +0.000}},
{{-2.000, +2.000, -0.000, +0.000, -2.000, +2.000}},
{{-2.000, +2.000, -0.000, -0.000, -2.000, +2.000}},
{{-2.000, +2.000, -0.000, +2.000, -2.000, +4.000}},
{{-2.000, +2.000, -0.000, -2.000, -2.000, +0.000}},
{{-2.000, +2.000, +2.000, +0.000, +0.000, +2.000}},
{{-2.000, +2.000, +2.000, -0.000, +0.000, +2.000}},
{{-2.000, +2.000, +2.000, +2.000, +0.000, +4.000}},
{{-2.000, +2.000, +2.000, -2.000, +0.000, +0.000}},
{{-2.000, +2.000, -2.000, +0.000, -4.000, +2.000}},
{{-2.000, +2.000, -2.000, -0.000, -4.000, +2.000}},
{{-2.000, +2.000, -2.000, +2.000, -4.000, +4.000}},
{{-2.000, +2.000, -2.000, -2.000, -4.000, +0.000}},
{{-2.000, -2.000, +0.000, +0.000, -2.000, -2.000}},
{{-2.000, -2.000, +0.000, -0.000, -2.000, -2.000}},
{{-2.000, -2.000, +0.000, +2.000, -2.000, +0.000}},
{{-2.000, -2.000, +0.000, -2.000, -2.000, -4.000}},
{{-2.000, -2.000, -0.000, +0.000, -2.000, -2.000}},
{{-2.000, -2.000, -0.000, -0.000, -2.000, -2.000}},
{{-2.000, -2.000, -0.000, +2.000, -2.000, +0.000}},
{{-2.000, -2.000, -0.000, -2.000, -2.000, -4.000}},
{{-2.000, -2.000, +2.000, +0.000, +0.000, -2.000}},
{{-2.000, -2.000, +2.000, -0.000, +0.000, -2.000}},
{{-2.000, -2.000, +2.000, +2.000, +0.000, +0.000}},
{{-2.000, -2.000, +2.000, -2.000, +0.000, -4.000}},
{{-2.000, -2.000, -2.000, +0.000, -4.000, -2.000}},
{{-2.000, -2.000, -2.000, -0.000, -4.000, -2.000}},
{{-2.000, -2.000, -2.000, +2.000, -4.000, +0.000}},
{{-2.000, -2.000, -2.000, -2.000, -4.000, -4.000}},
}};
for (unsigned i = 0; i < add_data.size(); ++i)
{
if (!(isnan)(add_data[i][4]) && !(isnan)(add_data[i][5]))
{
result = T(add_data[i][0], add_data[i][1]) + T(add_data[i][2], add_data[i][3]);
BOOST_TEST(result.real() == add_data[i][4]);
BOOST_TEST(result.imag() == add_data[i][5]);
BOOST_TEST((bool)signbit(result.real()) == signbit(add_data[i][4]));
BOOST_TEST((bool)signbit(result.imag()) == signbit(add_data[i][5]));
}
}
//
// Subtract the permutations:
//
static constexpr std::array<std::array<double, 6>, 256> sub_data =
{ {
{{+0.000, +0.000, +0.000, +0.000, +0.000, +0.000}},
{{+0.000, +0.000, +0.000, -0.000, +0.000, +0.000}},
{{+0.000, +0.000, +0.000, +2.000, +0.000, -2.000}},
{{+0.000, +0.000, +0.000, -2.000, +0.000, +2.000}},
{{+0.000, +0.000, -0.000, +0.000, +0.000, +0.000}},
{{+0.000, +0.000, -0.000, -0.000, +0.000, +0.000}},
{{+0.000, +0.000, -0.000, +2.000, +0.000, -2.000}},
{{+0.000, +0.000, -0.000, -2.000, +0.000, +2.000}},
{{+0.000, +0.000, +2.000, +0.000, -2.000, +0.000}},
{{+0.000, +0.000, +2.000, -0.000, -2.000, +0.000}},
{{+0.000, +0.000, +2.000, +2.000, -2.000, -2.000}},
{{+0.000, +0.000, +2.000, -2.000, -2.000, +2.000}},
{{+0.000, +0.000, -2.000, +0.000, +2.000, +0.000}},
{{+0.000, +0.000, -2.000, -0.000, +2.000, +0.000}},
{{+0.000, +0.000, -2.000, +2.000, +2.000, -2.000}},
{{+0.000, +0.000, -2.000, -2.000, +2.000, +2.000}},
{{+0.000, -0.000, +0.000, +0.000, +0.000, -0.000}},
{{+0.000, -0.000, +0.000, -0.000, +0.000, +0.000}},
{{+0.000, -0.000, +0.000, +2.000, +0.000, -2.000}},
{{+0.000, -0.000, +0.000, -2.000, +0.000, +2.000}},
{{+0.000, -0.000, -0.000, +0.000, +0.000, -0.000}},
{{+0.000, -0.000, -0.000, -0.000, +0.000, +0.000}},
{{+0.000, -0.000, -0.000, +2.000, +0.000, -2.000}},
{{+0.000, -0.000, -0.000, -2.000, +0.000, +2.000}},
{{+0.000, -0.000, +2.000, +0.000, -2.000, -0.000}},
{{+0.000, -0.000, +2.000, -0.000, -2.000, +0.000}},
{{+0.000, -0.000, +2.000, +2.000, -2.000, -2.000}},
{{+0.000, -0.000, +2.000, -2.000, -2.000, +2.000}},
{{+0.000, -0.000, -2.000, +0.000, +2.000, -0.000}},
{{+0.000, -0.000, -2.000, -0.000, +2.000, +0.000}},
{{+0.000, -0.000, -2.000, +2.000, +2.000, -2.000}},
{{+0.000, -0.000, -2.000, -2.000, +2.000, +2.000}},
{{+0.000, +2.000, +0.000, +0.000, +0.000, +2.000}},
{{+0.000, +2.000, +0.000, -0.000, +0.000, +2.000}},
{{+0.000, +2.000, +0.000, +2.000, +0.000, +0.000}},
{{+0.000, +2.000, +0.000, -2.000, +0.000, +4.000}},
{{+0.000, +2.000, -0.000, +0.000, +0.000, +2.000}},
{{+0.000, +2.000, -0.000, -0.000, +0.000, +2.000}},
{{+0.000, +2.000, -0.000, +2.000, +0.000, +0.000}},
{{+0.000, +2.000, -0.000, -2.000, +0.000, +4.000}},
{{+0.000, +2.000, +2.000, +0.000, -2.000, +2.000}},
{{+0.000, +2.000, +2.000, -0.000, -2.000, +2.000}},
{{+0.000, +2.000, +2.000, +2.000, -2.000, +0.000}},
{{+0.000, +2.000, +2.000, -2.000, -2.000, +4.000}},
{{+0.000, +2.000, -2.000, +0.000, +2.000, +2.000}},
{{+0.000, +2.000, -2.000, -0.000, +2.000, +2.000}},
{{+0.000, +2.000, -2.000, +2.000, +2.000, +0.000}},
{{+0.000, +2.000, -2.000, -2.000, +2.000, +4.000}},
{{+0.000, -2.000, +0.000, +0.000, +0.000, -2.000}},
{{+0.000, -2.000, +0.000, -0.000, +0.000, -2.000}},
{{+0.000, -2.000, +0.000, +2.000, +0.000, -4.000}},
{{+0.000, -2.000, +0.000, -2.000, +0.000, +0.000}},
{{+0.000, -2.000, -0.000, +0.000, +0.000, -2.000}},
{{+0.000, -2.000, -0.000, -0.000, +0.000, -2.000}},
{{+0.000, -2.000, -0.000, +2.000, +0.000, -4.000}},
{{+0.000, -2.000, -0.000, -2.000, +0.000, +0.000}},
{{+0.000, -2.000, +2.000, +0.000, -2.000, -2.000}},
{{+0.000, -2.000, +2.000, -0.000, -2.000, -2.000}},
{{+0.000, -2.000, +2.000, +2.000, -2.000, -4.000}},
{{+0.000, -2.000, +2.000, -2.000, -2.000, +0.000}},
{{+0.000, -2.000, -2.000, +0.000, +2.000, -2.000}},
{{+0.000, -2.000, -2.000, -0.000, +2.000, -2.000}},
{{+0.000, -2.000, -2.000, +2.000, +2.000, -4.000}},
{{+0.000, -2.000, -2.000, -2.000, +2.000, +0.000}},
{{-0.000, +0.000, +0.000, +0.000, -0.000, +0.000}},
{{-0.000, +0.000, +0.000, -0.000, -0.000, +0.000}},
{{-0.000, +0.000, +0.000, +2.000, -0.000, -2.000}},
{{-0.000, +0.000, +0.000, -2.000, -0.000, +2.000}},
{{-0.000, +0.000, -0.000, +0.000, +0.000, +0.000}},
{{-0.000, +0.000, -0.000, -0.000, +0.000, +0.000}},
{{-0.000, +0.000, -0.000, +2.000, +0.000, -2.000}},
{{-0.000, +0.000, -0.000, -2.000, +0.000, +2.000}},
{{-0.000, +0.000, +2.000, +0.000, -2.000, +0.000}},
{{-0.000, +0.000, +2.000, -0.000, -2.000, +0.000}},
{{-0.000, +0.000, +2.000, +2.000, -2.000, -2.000}},
{{-0.000, +0.000, +2.000, -2.000, -2.000, +2.000}},
{{-0.000, +0.000, -2.000, +0.000, +2.000, +0.000}},
{{-0.000, +0.000, -2.000, -0.000, +2.000, +0.000}},
{{-0.000, +0.000, -2.000, +2.000, +2.000, -2.000}},
{{-0.000, +0.000, -2.000, -2.000, +2.000, +2.000}},
{{-0.000, -0.000, +0.000, +0.000, -0.000, -0.000}},
{{-0.000, -0.000, +0.000, -0.000, -0.000, +0.000}},
{{-0.000, -0.000, +0.000, +2.000, -0.000, -2.000}},
{{-0.000, -0.000, +0.000, -2.000, -0.000, +2.000}},
{{-0.000, -0.000, -0.000, +0.000, +0.000, -0.000}},
{{-0.000, -0.000, -0.000, -0.000, +0.000, +0.000}},
{{-0.000, -0.000, -0.000, +2.000, +0.000, -2.000}},
{{-0.000, -0.000, -0.000, -2.000, +0.000, +2.000}},
{{-0.000, -0.000, +2.000, +0.000, -2.000, -0.000}},
{{-0.000, -0.000, +2.000, -0.000, -2.000, +0.000}},
{{-0.000, -0.000, +2.000, +2.000, -2.000, -2.000}},
{{-0.000, -0.000, +2.000, -2.000, -2.000, +2.000}},
{{-0.000, -0.000, -2.000, +0.000, +2.000, -0.000}},
{{-0.000, -0.000, -2.000, -0.000, +2.000, +0.000}},
{{-0.000, -0.000, -2.000, +2.000, +2.000, -2.000}},
{{-0.000, -0.000, -2.000, -2.000, +2.000, +2.000}},
{{-0.000, +2.000, +0.000, +0.000, -0.000, +2.000}},
{{-0.000, +2.000, +0.000, -0.000, -0.000, +2.000}},
{{-0.000, +2.000, +0.000, +2.000, -0.000, +0.000}},
{{-0.000, +2.000, +0.000, -2.000, -0.000, +4.000}},
{{-0.000, +2.000, -0.000, +0.000, +0.000, +2.000}},
{{-0.000, +2.000, -0.000, -0.000, +0.000, +2.000}},
{{-0.000, +2.000, -0.000, +2.000, +0.000, +0.000}},
{{-0.000, +2.000, -0.000, -2.000, +0.000, +4.000}},
{{-0.000, +2.000, +2.000, +0.000, -2.000, +2.000}},
{{-0.000, +2.000, +2.000, -0.000, -2.000, +2.000}},
{{-0.000, +2.000, +2.000, +2.000, -2.000, +0.000}},
{{-0.000, +2.000, +2.000, -2.000, -2.000, +4.000}},
{{-0.000, +2.000, -2.000, +0.000, +2.000, +2.000}},
{{-0.000, +2.000, -2.000, -0.000, +2.000, +2.000}},
{{-0.000, +2.000, -2.000, +2.000, +2.000, +0.000}},
{{-0.000, +2.000, -2.000, -2.000, +2.000, +4.000}},
{{-0.000, -2.000, +0.000, +0.000, -0.000, -2.000}},
{{-0.000, -2.000, +0.000, -0.000, -0.000, -2.000}},
{{-0.000, -2.000, +0.000, +2.000, -0.000, -4.000}},
{{-0.000, -2.000, +0.000, -2.000, -0.000, +0.000}},
{{-0.000, -2.000, -0.000, +0.000, +0.000, -2.000}},
{{-0.000, -2.000, -0.000, -0.000, +0.000, -2.000}},
{{-0.000, -2.000, -0.000, +2.000, +0.000, -4.000}},
{{-0.000, -2.000, -0.000, -2.000, +0.000, +0.000}},
{{-0.000, -2.000, +2.000, +0.000, -2.000, -2.000}},
{{-0.000, -2.000, +2.000, -0.000, -2.000, -2.000}},
{{-0.000, -2.000, +2.000, +2.000, -2.000, -4.000}},
{{-0.000, -2.000, +2.000, -2.000, -2.000, +0.000}},
{{-0.000, -2.000, -2.000, +0.000, +2.000, -2.000}},
{{-0.000, -2.000, -2.000, -0.000, +2.000, -2.000}},
{{-0.000, -2.000, -2.000, +2.000, +2.000, -4.000}},
{{-0.000, -2.000, -2.000, -2.000, +2.000, +0.000}},
{{+2.000, +0.000, +0.000, +0.000, +2.000, +0.000}},
{{+2.000, +0.000, +0.000, -0.000, +2.000, +0.000}},
{{+2.000, +0.000, +0.000, +2.000, +2.000, -2.000}},
{{+2.000, +0.000, +0.000, -2.000, +2.000, +2.000}},
{{+2.000, +0.000, -0.000, +0.000, +2.000, +0.000}},
{{+2.000, +0.000, -0.000, -0.000, +2.000, +0.000}},
{{+2.000, +0.000, -0.000, +2.000, +2.000, -2.000}},
{{+2.000, +0.000, -0.000, -2.000, +2.000, +2.000}},
{{+2.000, +0.000, +2.000, +0.000, +0.000, +0.000}},
{{+2.000, +0.000, +2.000, -0.000, +0.000, +0.000}},
{{+2.000, +0.000, +2.000, +2.000, +0.000, -2.000}},
{{+2.000, +0.000, +2.000, -2.000, +0.000, +2.000}},
{{+2.000, +0.000, -2.000, +0.000, +4.000, +0.000}},
{{+2.000, +0.000, -2.000, -0.000, +4.000, +0.000}},
{{+2.000, +0.000, -2.000, +2.000, +4.000, -2.000}},
{{+2.000, +0.000, -2.000, -2.000, +4.000, +2.000}},
{{+2.000, -0.000, +0.000, +0.000, +2.000, -0.000}},
{{+2.000, -0.000, +0.000, -0.000, +2.000, +0.000}},
{{+2.000, -0.000, +0.000, +2.000, +2.000, -2.000}},
{{+2.000, -0.000, +0.000, -2.000, +2.000, +2.000}},
{{+2.000, -0.000, -0.000, +0.000, +2.000, -0.000}},
{{+2.000, -0.000, -0.000, -0.000, +2.000, +0.000}},
{{+2.000, -0.000, -0.000, +2.000, +2.000, -2.000}},
{{+2.000, -0.000, -0.000, -2.000, +2.000, +2.000}},
{{+2.000, -0.000, +2.000, +0.000, +0.000, -0.000}},
{{+2.000, -0.000, +2.000, -0.000, +0.000, +0.000}},
{{+2.000, -0.000, +2.000, +2.000, +0.000, -2.000}},
{{+2.000, -0.000, +2.000, -2.000, +0.000, +2.000}},
{{+2.000, -0.000, -2.000, +0.000, +4.000, -0.000}},
{{+2.000, -0.000, -2.000, -0.000, +4.000, +0.000}},
{{+2.000, -0.000, -2.000, +2.000, +4.000, -2.000}},
{{+2.000, -0.000, -2.000, -2.000, +4.000, +2.000}},
{{+2.000, +2.000, +0.000, +0.000, +2.000, +2.000}},
{{+2.000, +2.000, +0.000, -0.000, +2.000, +2.000}},
{{+2.000, +2.000, +0.000, +2.000, +2.000, +0.000}},
{{+2.000, +2.000, +0.000, -2.000, +2.000, +4.000}},
{{+2.000, +2.000, -0.000, +0.000, +2.000, +2.000}},
{{+2.000, +2.000, -0.000, -0.000, +2.000, +2.000}},
{{+2.000, +2.000, -0.000, +2.000, +2.000, +0.000}},
{{+2.000, +2.000, -0.000, -2.000, +2.000, +4.000}},
{{+2.000, +2.000, +2.000, +0.000, +0.000, +2.000}},
{{+2.000, +2.000, +2.000, -0.000, +0.000, +2.000}},
{{+2.000, +2.000, +2.000, +2.000, +0.000, +0.000}},
{{+2.000, +2.000, +2.000, -2.000, +0.000, +4.000}},
{{+2.000, +2.000, -2.000, +0.000, +4.000, +2.000}},
{{+2.000, +2.000, -2.000, -0.000, +4.000, +2.000}},
{{+2.000, +2.000, -2.000, +2.000, +4.000, +0.000}},
{{+2.000, +2.000, -2.000, -2.000, +4.000, +4.000}},
{{+2.000, -2.000, +0.000, +0.000, +2.000, -2.000}},
{{+2.000, -2.000, +0.000, -0.000, +2.000, -2.000}},
{{+2.000, -2.000, +0.000, +2.000, +2.000, -4.000}},
{{+2.000, -2.000, +0.000, -2.000, +2.000, +0.000}},
{{+2.000, -2.000, -0.000, +0.000, +2.000, -2.000}},
{{+2.000, -2.000, -0.000, -0.000, +2.000, -2.000}},
{{+2.000, -2.000, -0.000, +2.000, +2.000, -4.000}},
{{+2.000, -2.000, -0.000, -2.000, +2.000, +0.000}},
{{+2.000, -2.000, +2.000, +0.000, +0.000, -2.000}},
{{+2.000, -2.000, +2.000, -0.000, +0.000, -2.000}},
{{+2.000, -2.000, +2.000, +2.000, +0.000, -4.000}},
{{+2.000, -2.000, +2.000, -2.000, +0.000, +0.000}},
{{+2.000, -2.000, -2.000, +0.000, +4.000, -2.000}},
{{+2.000, -2.000, -2.000, -0.000, +4.000, -2.000}},
{{+2.000, -2.000, -2.000, +2.000, +4.000, -4.000}},
{{+2.000, -2.000, -2.000, -2.000, +4.000, +0.000}},
{{-2.000, +0.000, +0.000, +0.000, -2.000, +0.000}},
{{-2.000, +0.000, +0.000, -0.000, -2.000, +0.000}},
{{-2.000, +0.000, +0.000, +2.000, -2.000, -2.000}},
{{-2.000, +0.000, +0.000, -2.000, -2.000, +2.000}},
{{-2.000, +0.000, -0.000, +0.000, -2.000, +0.000}},
{{-2.000, +0.000, -0.000, -0.000, -2.000, +0.000}},
{{-2.000, +0.000, -0.000, +2.000, -2.000, -2.000}},
{{-2.000, +0.000, -0.000, -2.000, -2.000, +2.000}},
{{-2.000, +0.000, +2.000, +0.000, -4.000, +0.000}},
{{-2.000, +0.000, +2.000, -0.000, -4.000, +0.000}},
{{-2.000, +0.000, +2.000, +2.000, -4.000, -2.000}},
{{-2.000, +0.000, +2.000, -2.000, -4.000, +2.000}},
{{-2.000, +0.000, -2.000, +0.000, +0.000, +0.000}},
{{-2.000, +0.000, -2.000, -0.000, +0.000, +0.000}},
{{-2.000, +0.000, -2.000, +2.000, +0.000, -2.000}},
{{-2.000, +0.000, -2.000, -2.000, +0.000, +2.000}},
{{-2.000, -0.000, +0.000, +0.000, -2.000, -0.000}},
{{-2.000, -0.000, +0.000, -0.000, -2.000, +0.000}},
{{-2.000, -0.000, +0.000, +2.000, -2.000, -2.000}},
{{-2.000, -0.000, +0.000, -2.000, -2.000, +2.000}},
{{-2.000, -0.000, -0.000, +0.000, -2.000, -0.000}},
{{-2.000, -0.000, -0.000, -0.000, -2.000, +0.000}},
{{-2.000, -0.000, -0.000, +2.000, -2.000, -2.000}},
{{-2.000, -0.000, -0.000, -2.000, -2.000, +2.000}},
{{-2.000, -0.000, +2.000, +0.000, -4.000, -0.000}},
{{-2.000, -0.000, +2.000, -0.000, -4.000, +0.000}},
{{-2.000, -0.000, +2.000, +2.000, -4.000, -2.000}},
{{-2.000, -0.000, +2.000, -2.000, -4.000, +2.000}},
{{-2.000, -0.000, -2.000, +0.000, +0.000, -0.000}},
{{-2.000, -0.000, -2.000, -0.000, +0.000, +0.000}},
{{-2.000, -0.000, -2.000, +2.000, +0.000, -2.000}},
{{-2.000, -0.000, -2.000, -2.000, +0.000, +2.000}},
{{-2.000, +2.000, +0.000, +0.000, -2.000, +2.000}},
{{-2.000, +2.000, +0.000, -0.000, -2.000, +2.000}},
{{-2.000, +2.000, +0.000, +2.000, -2.000, +0.000}},
{{-2.000, +2.000, +0.000, -2.000, -2.000, +4.000}},
{{-2.000, +2.000, -0.000, +0.000, -2.000, +2.000}},
{{-2.000, +2.000, -0.000, -0.000, -2.000, +2.000}},
{{-2.000, +2.000, -0.000, +2.000, -2.000, +0.000}},
{{-2.000, +2.000, -0.000, -2.000, -2.000, +4.000}},
{{-2.000, +2.000, +2.000, +0.000, -4.000, +2.000}},
{{-2.000, +2.000, +2.000, -0.000, -4.000, +2.000}},
{{-2.000, +2.000, +2.000, +2.000, -4.000, +0.000}},
{{-2.000, +2.000, +2.000, -2.000, -4.000, +4.000}},
{{-2.000, +2.000, -2.000, +0.000, +0.000, +2.000}},
{{-2.000, +2.000, -2.000, -0.000, +0.000, +2.000}},
{{-2.000, +2.000, -2.000, +2.000, +0.000, +0.000}},
{{-2.000, +2.000, -2.000, -2.000, +0.000, +4.000}},
{{-2.000, -2.000, +0.000, +0.000, -2.000, -2.000}},
{{-2.000, -2.000, +0.000, -0.000, -2.000, -2.000}},
{{-2.000, -2.000, +0.000, +2.000, -2.000, -4.000}},
{{-2.000, -2.000, +0.000, -2.000, -2.000, +0.000}},
{{-2.000, -2.000, -0.000, +0.000, -2.000, -2.000}},
{{-2.000, -2.000, -0.000, -0.000, -2.000, -2.000}},
{{-2.000, -2.000, -0.000, +2.000, -2.000, -4.000}},
{{-2.000, -2.000, -0.000, -2.000, -2.000, +0.000}},
{{-2.000, -2.000, +2.000, +0.000, -4.000, -2.000}},
{{-2.000, -2.000, +2.000, -0.000, -4.000, -2.000}},
{{-2.000, -2.000, +2.000, +2.000, -4.000, -4.000}},
{{-2.000, -2.000, +2.000, -2.000, -4.000, +0.000}},
{{-2.000, -2.000, -2.000, +0.000, +0.000, -2.000}},
{{-2.000, -2.000, -2.000, -0.000, +0.000, -2.000}},
{{-2.000, -2.000, -2.000, +2.000, +0.000, -4.000}},
{{-2.000, -2.000, -2.000, -2.000, +0.000, +0.000}},
}};
for (unsigned i = 0; i < sub_data.size(); ++i)
{
if (!(isnan)(sub_data[i][4]) && !(isnan)(sub_data[i][5]))
{
result = T(sub_data[i][0], sub_data[i][1]) - T(sub_data[i][2], sub_data[i][3]);
BOOST_TEST(result.real() == sub_data[i][4]);
BOOST_TEST(result.imag() == sub_data[i][5]);
BOOST_TEST((bool)signbit(result.real()) == signbit(sub_data[i][4]));
BOOST_TEST((bool)signbit(result.imag()) == signbit(sub_data[i][5]));
}
}
//
// Multiplication by scalar:
//
static constexpr std::array<std::array<double, 5>, 64> scalar_mul_data =
{{
{{+0.000, +0.000, +0.000, +0.000, +0.000}},
{{+0.000, +0.000, -0.000, -0.000, -0.000}},
{{+0.000, +0.000, +2.000, +0.000, +0.000}},
{{+0.000, +0.000, -2.000, -0.000, -0.000}},
{{+0.000, -0.000, +0.000, +0.000, -0.000}},
{{+0.000, -0.000, -0.000, -0.000, +0.000}},
{{+0.000, -0.000, +2.000, +0.000, -0.000}},
{{+0.000, -0.000, -2.000, -0.000, +0.000}},
{{+0.000, +2.000, +0.000, +0.000, +0.000}},
{{+0.000, +2.000, -0.000, -0.000, -0.000}},
{{+0.000, +2.000, +2.000, +0.000, +4.000}},
{{+0.000, +2.000, -2.000, -0.000, -4.000}},
{{+0.000, -2.000, +0.000, +0.000, -0.000}},
{{+0.000, -2.000, -0.000, -0.000, +0.000}},
{{+0.000, -2.000, +2.000, +0.000, -4.000}},
{{+0.000, -2.000, -2.000, -0.000, +4.000}},
{{-0.000, +0.000, +0.000, -0.000, +0.000}},
{{-0.000, +0.000, -0.000, +0.000, -0.000}},
{{-0.000, +0.000, +2.000, -0.000, +0.000}},
{{-0.000, +0.000, -2.000, +0.000, -0.000}},
{{-0.000, -0.000, +0.000, -0.000, -0.000}},
{{-0.000, -0.000, -0.000, +0.000, +0.000}},
{{-0.000, -0.000, +2.000, -0.000, -0.000}},
{{-0.000, -0.000, -2.000, +0.000, +0.000}},
{{-0.000, +2.000, +0.000, -0.000, +0.000}},
{{-0.000, +2.000, -0.000, +0.000, -0.000}},
{{-0.000, +2.000, +2.000, -0.000, +4.000}},
{{-0.000, +2.000, -2.000, +0.000, -4.000}},
{{-0.000, -2.000, +0.000, -0.000, -0.000}},
{{-0.000, -2.000, -0.000, +0.000, +0.000}},
{{-0.000, -2.000, +2.000, -0.000, -4.000}},
{{-0.000, -2.000, -2.000, +0.000, +4.000}},
{{+2.000, +0.000, +0.000, +0.000, +0.000}},
{{+2.000, +0.000, -0.000, -0.000, -0.000}},
{{+2.000, +0.000, +2.000, +4.000, +0.000}},
{{+2.000, +0.000, -2.000, -4.000, -0.000}},
{{+2.000, -0.000, +0.000, +0.000, -0.000}},
{{+2.000, -0.000, -0.000, -0.000, +0.000}},
{{+2.000, -0.000, +2.000, +4.000, -0.000}},
{{+2.000, -0.000, -2.000, -4.000, +0.000}},
{{+2.000, +2.000, +0.000, +0.000, +0.000}},
{{+2.000, +2.000, -0.000, -0.000, -0.000}},
{{+2.000, +2.000, +2.000, +4.000, +4.000}},
{{+2.000, +2.000, -2.000, -4.000, -4.000}},
{{+2.000, -2.000, +0.000, +0.000, -0.000}},
{{+2.000, -2.000, -0.000, -0.000, +0.000}},
{{+2.000, -2.000, +2.000, +4.000, -4.000}},
{{+2.000, -2.000, -2.000, -4.000, +4.000}},
{{-2.000, +0.000, +0.000, -0.000, +0.000}},
{{-2.000, +0.000, -0.000, +0.000, -0.000}},
{{-2.000, +0.000, +2.000, -4.000, +0.000}},
{{-2.000, +0.000, -2.000, +4.000, -0.000}},
{{-2.000, -0.000, +0.000, -0.000, -0.000}},
{{-2.000, -0.000, -0.000, +0.000, +0.000}},
{{-2.000, -0.000, +2.000, -4.000, -0.000}},
{{-2.000, -0.000, -2.000, +4.000, +0.000}},
{{-2.000, +2.000, +0.000, -0.000, +0.000}},
{{-2.000, +2.000, -0.000, +0.000, -0.000}},
{{-2.000, +2.000, +2.000, -4.000, +4.000}},
{{-2.000, +2.000, -2.000, +4.000, -4.000}},
{{-2.000, -2.000, +0.000, -0.000, -0.000}},
{{-2.000, -2.000, -0.000, +0.000, +0.000}},
{{-2.000, -2.000, +2.000, -4.000, -4.000}},
{{-2.000, -2.000, -2.000, +4.000, +4.000}},
}};
for (unsigned i = 0; i < scalar_mul_data.size(); ++i)
{
if (!(isnan)(scalar_mul_data[i][3]) && !(isnan)(scalar_mul_data[i][4]))
{
result = T(scalar_mul_data[i][0], scalar_mul_data[i][1]) * value_type(scalar_mul_data[i][2]);
BOOST_TEST(result.real() == scalar_mul_data[i][3]);
BOOST_TEST(result.imag() == scalar_mul_data[i][4]);
BOOST_TEST((bool)signbit(result.real()) == signbit(scalar_mul_data[i][3]));
BOOST_TEST((bool)signbit(result.imag()) == signbit(scalar_mul_data[i][4]));
}
}
//
// Division by scalar:
//
static constexpr std::array<std::array<double, 5>, 64> scalar_div_data =
{{
{{+0.000, +0.000, +0.000, std::numeric_limits<double>::quiet_NaN(), std::numeric_limits<double>::quiet_NaN()}},
{{+0.000, +0.000, -0.000, std::numeric_limits<double>::quiet_NaN(), std::numeric_limits<double>::quiet_NaN()}},
{{+0.000, +0.000, +2.000, +0.000, +0.000}},
{{+0.000, +0.000, -2.000, -0.000, -0.000}},
{{+0.000, -0.000, +0.000, std::numeric_limits<double>::quiet_NaN(), std::numeric_limits<double>::quiet_NaN()}},
{{+0.000, -0.000, -0.000, std::numeric_limits<double>::quiet_NaN(), std::numeric_limits<double>::quiet_NaN()}},
{{+0.000, -0.000, +2.000, +0.000, -0.000}},
{{+0.000, -0.000, -2.000, -0.000, +0.000}},
{{+0.000, +2.000, +0.000, std::numeric_limits<double>::quiet_NaN(), +std::numeric_limits<double>::infinity()}},
{{+0.000, +2.000, -0.000, std::numeric_limits<double>::quiet_NaN(), -std::numeric_limits<double>::infinity()}},
{{+0.000, +2.000, +2.000, +0.000, +1.000}},
{{+0.000, +2.000, -2.000, -0.000, -1.000}},
{{+0.000, -2.000, +0.000, std::numeric_limits<double>::quiet_NaN(), -std::numeric_limits<double>::infinity()}},
{{+0.000, -2.000, -0.000, std::numeric_limits<double>::quiet_NaN(), +std::numeric_limits<double>::infinity()}},
{{+0.000, -2.000, +2.000, +0.000, -1.000}},
{{+0.000, -2.000, -2.000, -0.000, +1.000}},
{{-0.000, +0.000, +0.000, std::numeric_limits<double>::quiet_NaN(), std::numeric_limits<double>::quiet_NaN()}},
{{-0.000, +0.000, -0.000, std::numeric_limits<double>::quiet_NaN(), std::numeric_limits<double>::quiet_NaN()}},
{{-0.000, +0.000, +2.000, -0.000, +0.000}},
{{-0.000, +0.000, -2.000, +0.000, -0.000}},
{{-0.000, -0.000, +0.000, std::numeric_limits<double>::quiet_NaN(), std::numeric_limits<double>::quiet_NaN()}},
{{-0.000, -0.000, -0.000, std::numeric_limits<double>::quiet_NaN(), std::numeric_limits<double>::quiet_NaN()}},
{{-0.000, -0.000, +2.000, -0.000, -0.000}},
{{-0.000, -0.000, -2.000, +0.000, +0.000}},
{{-0.000, +2.000, +0.000, std::numeric_limits<double>::quiet_NaN(), +std::numeric_limits<double>::infinity()}},
{{-0.000, +2.000, -0.000, std::numeric_limits<double>::quiet_NaN(), -std::numeric_limits<double>::infinity()}},
{{-0.000, +2.000, +2.000, -0.000, +1.000}},
{{-0.000, +2.000, -2.000, +0.000, -1.000}},
{{-0.000, -2.000, +0.000, std::numeric_limits<double>::quiet_NaN(), -std::numeric_limits<double>::infinity()}},
{{-0.000, -2.000, -0.000, std::numeric_limits<double>::quiet_NaN(), +std::numeric_limits<double>::infinity()}},
{{-0.000, -2.000, +2.000, -0.000, -1.000}},
{{-0.000, -2.000, -2.000, +0.000, +1.000}},
{{+2.000, +0.000, +0.000, +std::numeric_limits<double>::infinity(), std::numeric_limits<double>::quiet_NaN()}},
{{+2.000, +0.000, -0.000, -std::numeric_limits<double>::infinity(), std::numeric_limits<double>::quiet_NaN()}},
{{+2.000, +0.000, +2.000, +1.000, +0.000}},
{{+2.000, +0.000, -2.000, -1.000, -0.000}},
{{+2.000, -0.000, +0.000, +std::numeric_limits<double>::infinity(), std::numeric_limits<double>::quiet_NaN()}},
{{+2.000, -0.000, -0.000, -std::numeric_limits<double>::infinity(), std::numeric_limits<double>::quiet_NaN()}},
{{+2.000, -0.000, +2.000, +1.000, -0.000}},
{{+2.000, -0.000, -2.000, -1.000, +0.000}},
{{+2.000, +2.000, +0.000, +std::numeric_limits<double>::infinity(), +std::numeric_limits<double>::infinity()}},
{{+2.000, +2.000, -0.000, -std::numeric_limits<double>::infinity(), -std::numeric_limits<double>::infinity()}},
{{+2.000, +2.000, +2.000, +1.000, +1.000}},
{{+2.000, +2.000, -2.000, -1.000, -1.000}},
{{+2.000, -2.000, +0.000, +std::numeric_limits<double>::infinity(), -std::numeric_limits<double>::infinity()}},
{{+2.000, -2.000, -0.000, -std::numeric_limits<double>::infinity(), +std::numeric_limits<double>::infinity()}},
{{+2.000, -2.000, +2.000, +1.000, -1.000}},
{{+2.000, -2.000, -2.000, -1.000, +1.000}},
{{-2.000, +0.000, +0.000, -std::numeric_limits<double>::infinity(), std::numeric_limits<double>::quiet_NaN()}},
{{-2.000, +0.000, -0.000, +std::numeric_limits<double>::infinity(), std::numeric_limits<double>::quiet_NaN()}},
{{-2.000, +0.000, +2.000, -1.000, +0.000}},
{{-2.000, +0.000, -2.000, +1.000, -0.000}},
{{-2.000, -0.000, +0.000, -std::numeric_limits<double>::infinity(), std::numeric_limits<double>::quiet_NaN()}},
{{-2.000, -0.000, -0.000, +std::numeric_limits<double>::infinity(), std::numeric_limits<double>::quiet_NaN()}},
{{-2.000, -0.000, +2.000, -1.000, -0.000}},
{{-2.000, -0.000, -2.000, +1.000, +0.000}},
{{-2.000, +2.000, +0.000, -std::numeric_limits<double>::infinity(), +std::numeric_limits<double>::infinity()}},
{{-2.000, +2.000, -0.000, +std::numeric_limits<double>::infinity(), -std::numeric_limits<double>::infinity()}},
{{-2.000, +2.000, +2.000, -1.000, +1.000}},
{{-2.000, +2.000, -2.000, +1.000, -1.000}},
{{-2.000, -2.000, +0.000, -std::numeric_limits<double>::infinity(), -std::numeric_limits<double>::infinity()}},
{{-2.000, -2.000, -0.000, +std::numeric_limits<double>::infinity(), +std::numeric_limits<double>::infinity()}},
{{-2.000, -2.000, +2.000, -1.000, -1.000}},
{{-2.000, -2.000, -2.000, +1.000, +1.000}},
}};
for (unsigned i = 0; i < scalar_div_data.size(); ++i)
{
if (!(isnan)(scalar_div_data[i][3]) && !(isnan)(scalar_div_data[i][4]))
{
result = T(scalar_div_data[i][0], scalar_div_data[i][1]) / value_type(scalar_div_data[i][2]);
BOOST_TEST(result.real() == scalar_div_data[i][3]);
BOOST_TEST(result.imag() == scalar_div_data[i][4]);
BOOST_TEST((bool)signbit(result.real()) == signbit(scalar_div_data[i][3]));
BOOST_TEST((bool)signbit(result.imag()) == signbit(scalar_div_data[i][4]));
}
}
//
// Addition of scalar:
//
static constexpr std::array<std::array<double, 5>, 64> scalar_add_data =
{{
{{+0.000, +0.000, +0.000, +0.000, +0.000}},
{{+0.000, +0.000, -0.000, +0.000, +0.000}},
{{+0.000, +0.000, +2.000, +2.000, +0.000}},
{{+0.000, +0.000, -2.000, -2.000, +0.000}},
{{+0.000, -0.000, +0.000, +0.000, -0.000}},
{{+0.000, -0.000, -0.000, +0.000, -0.000}},
{{+0.000, -0.000, +2.000, +2.000, -0.000}},
{{+0.000, -0.000, -2.000, -2.000, -0.000}},
{{+0.000, +2.000, +0.000, +0.000, +2.000}},
{{+0.000, +2.000, -0.000, +0.000, +2.000}},
{{+0.000, +2.000, +2.000, +2.000, +2.000}},
{{+0.000, +2.000, -2.000, -2.000, +2.000}},
{{+0.000, -2.000, +0.000, +0.000, -2.000}},
{{+0.000, -2.000, -0.000, +0.000, -2.000}},
{{+0.000, -2.000, +2.000, +2.000, -2.000}},
{{+0.000, -2.000, -2.000, -2.000, -2.000}},
{{-0.000, +0.000, +0.000, +0.000, +0.000}},
{{-0.000, +0.000, -0.000, -0.000, +0.000}},
{{-0.000, +0.000, +2.000, +2.000, +0.000}},
{{-0.000, +0.000, -2.000, -2.000, +0.000}},
{{-0.000, -0.000, +0.000, +0.000, -0.000}},
{{-0.000, -0.000, -0.000, -0.000, -0.000}},
{{-0.000, -0.000, +2.000, +2.000, -0.000}},
{{-0.000, -0.000, -2.000, -2.000, -0.000}},
{{-0.000, +2.000, +0.000, +0.000, +2.000}},
{{-0.000, +2.000, -0.000, -0.000, +2.000}},
{{-0.000, +2.000, +2.000, +2.000, +2.000}},
{{-0.000, +2.000, -2.000, -2.000, +2.000}},
{{-0.000, -2.000, +0.000, +0.000, -2.000}},
{{-0.000, -2.000, -0.000, -0.000, -2.000}},
{{-0.000, -2.000, +2.000, +2.000, -2.000}},
{{-0.000, -2.000, -2.000, -2.000, -2.000}},
{{+2.000, +0.000, +0.000, +2.000, +0.000}},
{{+2.000, +0.000, -0.000, +2.000, +0.000}},
{{+2.000, +0.000, +2.000, +4.000, +0.000}},
{{+2.000, +0.000, -2.000, +0.000, +0.000}},
{{+2.000, -0.000, +0.000, +2.000, -0.000}},
{{+2.000, -0.000, -0.000, +2.000, -0.000}},
{{+2.000, -0.000, +2.000, +4.000, -0.000}},
{{+2.000, -0.000, -2.000, +0.000, -0.000}},
{{+2.000, +2.000, +0.000, +2.000, +2.000}},
{{+2.000, +2.000, -0.000, +2.000, +2.000}},
{{+2.000, +2.000, +2.000, +4.000, +2.000}},
{{+2.000, +2.000, -2.000, +0.000, +2.000}},
{{+2.000, -2.000, +0.000, +2.000, -2.000}},
{{+2.000, -2.000, -0.000, +2.000, -2.000}},
{{+2.000, -2.000, +2.000, +4.000, -2.000}},
{{+2.000, -2.000, -2.000, +0.000, -2.000}},
{{-2.000, +0.000, +0.000, -2.000, +0.000}},
{{-2.000, +0.000, -0.000, -2.000, +0.000}},
{{-2.000, +0.000, +2.000, +0.000, +0.000}},
{{-2.000, +0.000, -2.000, -4.000, +0.000}},
{{-2.000, -0.000, +0.000, -2.000, -0.000}},
{{-2.000, -0.000, -0.000, -2.000, -0.000}},
{{-2.000, -0.000, +2.000, +0.000, -0.000}},
{{-2.000, -0.000, -2.000, -4.000, -0.000}},
{{-2.000, +2.000, +0.000, -2.000, +2.000}},
{{-2.000, +2.000, -0.000, -2.000, +2.000}},
{{-2.000, +2.000, +2.000, +0.000, +2.000}},
{{-2.000, +2.000, -2.000, -4.000, +2.000}},
{{-2.000, -2.000, +0.000, -2.000, -2.000}},
{{-2.000, -2.000, -0.000, -2.000, -2.000}},
{{-2.000, -2.000, +2.000, +0.000, -2.000}},
{{-2.000, -2.000, -2.000, -4.000, -2.000}},
}};
for (unsigned i = 0; i < scalar_add_data.size(); ++i)
{
if (!(isnan)(scalar_add_data[i][3]) && !(isnan)(scalar_add_data[i][4]))
{
result = T(scalar_add_data[i][0], scalar_add_data[i][1]) + value_type(scalar_add_data[i][2]);
BOOST_TEST(result.real() == scalar_add_data[i][3]);
BOOST_TEST(result.imag() == scalar_add_data[i][4]);
BOOST_TEST((bool)signbit(result.real()) == signbit(scalar_add_data[i][3]));
BOOST_TEST((bool)signbit(result.imag()) == signbit(scalar_add_data[i][4]));
}
}
//
// Subtraction of scalar:
//
static constexpr std::array<std::array<double, 5>, 64> scalar_sub_data =
{{
{{+0.000, +0.000, +0.000, +0.000, +0.000}},
{{+0.000, +0.000, -0.000, +0.000, +0.000}},
{{+0.000, +0.000, +2.000, -2.000, +0.000}},
{{+0.000, +0.000, -2.000, +2.000, +0.000}},
{{+0.000, -0.000, +0.000, +0.000, -0.000}},
{{+0.000, -0.000, -0.000, +0.000, -0.000}},
{{+0.000, -0.000, +2.000, -2.000, -0.000}},
{{+0.000, -0.000, -2.000, +2.000, -0.000}},
{{+0.000, +2.000, +0.000, +0.000, +2.000}},
{{+0.000, +2.000, -0.000, +0.000, +2.000}},
{{+0.000, +2.000, +2.000, -2.000, +2.000}},
{{+0.000, +2.000, -2.000, +2.000, +2.000}},
{{+0.000, -2.000, +0.000, +0.000, -2.000}},
{{+0.000, -2.000, -0.000, +0.000, -2.000}},
{{+0.000, -2.000, +2.000, -2.000, -2.000}},
{{+0.000, -2.000, -2.000, +2.000, -2.000}},
{{-0.000, +0.000, +0.000, -0.000, +0.000}},
{{-0.000, +0.000, -0.000, +0.000, +0.000}},
{{-0.000, +0.000, +2.000, -2.000, +0.000}},
{{-0.000, +0.000, -2.000, +2.000, +0.000}},
{{-0.000, -0.000, +0.000, -0.000, -0.000}},
{{-0.000, -0.000, -0.000, +0.000, -0.000}},
{{-0.000, -0.000, +2.000, -2.000, -0.000}},
{{-0.000, -0.000, -2.000, +2.000, -0.000}},
{{-0.000, +2.000, +0.000, -0.000, +2.000}},
{{-0.000, +2.000, -0.000, +0.000, +2.000}},
{{-0.000, +2.000, +2.000, -2.000, +2.000}},
{{-0.000, +2.000, -2.000, +2.000, +2.000}},
{{-0.000, -2.000, +0.000, -0.000, -2.000}},
{{-0.000, -2.000, -0.000, +0.000, -2.000}},
{{-0.000, -2.000, +2.000, -2.000, -2.000}},
{{-0.000, -2.000, -2.000, +2.000, -2.000}},
{{+2.000, +0.000, +0.000, +2.000, +0.000}},
{{+2.000, +0.000, -0.000, +2.000, +0.000}},
{{+2.000, +0.000, +2.000, +0.000, +0.000}},
{{+2.000, +0.000, -2.000, +4.000, +0.000}},
{{+2.000, -0.000, +0.000, +2.000, -0.000}},
{{+2.000, -0.000, -0.000, +2.000, -0.000}},
{{+2.000, -0.000, +2.000, +0.000, -0.000}},
{{+2.000, -0.000, -2.000, +4.000, -0.000}},
{{+2.000, +2.000, +0.000, +2.000, +2.000}},
{{+2.000, +2.000, -0.000, +2.000, +2.000}},
{{+2.000, +2.000, +2.000, +0.000, +2.000}},
{{+2.000, +2.000, -2.000, +4.000, +2.000}},
{{+2.000, -2.000, +0.000, +2.000, -2.000}},
{{+2.000, -2.000, -0.000, +2.000, -2.000}},
{{+2.000, -2.000, +2.000, +0.000, -2.000}},
{{+2.000, -2.000, -2.000, +4.000, -2.000}},
{{-2.000, +0.000, +0.000, -2.000, +0.000}},
{{-2.000, +0.000, -0.000, -2.000, +0.000}},
{{-2.000, +0.000, +2.000, -4.000, +0.000}},
{{-2.000, +0.000, -2.000, +0.000, +0.000}},
{{-2.000, -0.000, +0.000, -2.000, -0.000}},
{{-2.000, -0.000, -0.000, -2.000, -0.000}},
{{-2.000, -0.000, +2.000, -4.000, -0.000}},
{{-2.000, -0.000, -2.000, +0.000, -0.000}},
{{-2.000, +2.000, +0.000, -2.000, +2.000}},
{{-2.000, +2.000, -0.000, -2.000, +2.000}},
{{-2.000, +2.000, +2.000, -4.000, +2.000}},
{{-2.000, +2.000, -2.000, +0.000, +2.000}},
{{-2.000, -2.000, +0.000, -2.000, -2.000}},
{{-2.000, -2.000, -0.000, -2.000, -2.000}},
{{-2.000, -2.000, +2.000, -4.000, -2.000}},
{{-2.000, -2.000, -2.000, +0.000, -2.000}},
}};
for (unsigned i = 0; i < scalar_sub_data.size(); ++i)
{
if (!(isnan)(scalar_sub_data[i][3]) && !(isnan)(scalar_sub_data[i][4]))
{
result = T(scalar_sub_data[i][0], scalar_sub_data[i][1]) - value_type(scalar_sub_data[i][2]);
BOOST_TEST(result.real() == scalar_sub_data[i][3]);
BOOST_TEST(result.imag() == scalar_sub_data[i][4]);
BOOST_TEST((bool)signbit(result.real()) == signbit(scalar_sub_data[i][3]));
BOOST_TEST((bool)signbit(result.imag()) == signbit(scalar_sub_data[i][4]));
}
}
}
int main()
{
#ifdef TEST_DOUBLE
//
// This does not actually pass these tests:
//
//test<std::complex<double>>();
#endif
#ifdef TEST_CPP_BIN_FLOAT
test<boost::multiprecision::cpp_complex_50>();
test<boost::multiprecision::number<boost::multiprecision::cpp_complex_50::backend_type, boost::multiprecision::et_on> >();
#endif
#ifdef TEST_MPC
test<boost::multiprecision::mpc_complex_50>();
#endif
return boost::report_errors();
}
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