#ifndef CASES_H
#define CASES_H
#include <complex>
#include <cassert>
std::complex<double> x[] =
{
std::complex<double>( 1.e-6, 1.e-6),
std::complex<double>(-1.e-6, 1.e-6),
std::complex<double>(-1.e-6, -1.e-6),
std::complex<double>( 1.e-6, -1.e-6),
std::complex<double>( 1.e+6, 1.e-6),
std::complex<double>(-1.e+6, 1.e-6),
std::complex<double>(-1.e+6, -1.e-6),
std::complex<double>( 1.e+6, -1.e-6),
std::complex<double>( 1.e-6, 1.e+6),
std::complex<double>(-1.e-6, 1.e+6),
std::complex<double>(-1.e-6, -1.e+6),
std::complex<double>( 1.e-6, -1.e+6),
std::complex<double>( 1.e+6, 1.e+6),
std::complex<double>(-1.e+6, 1.e+6),
std::complex<double>(-1.e+6, -1.e+6),
std::complex<double>( 1.e+6, -1.e+6),
std::complex<double>(NAN, NAN),
std::complex<double>(-INFINITY, NAN),
std::complex<double>(-2, NAN),
std::complex<double>(-1, NAN),
std::complex<double>(-0.5, NAN),
std::complex<double>(-0., NAN),
std::complex<double>(+0., NAN),
std::complex<double>(0.5, NAN),
std::complex<double>(1, NAN),
std::complex<double>(2, NAN),
std::complex<double>(INFINITY, NAN),
std::complex<double>(NAN, -INFINITY),
std::complex<double>(-INFINITY, -INFINITY),
std::complex<double>(-2, -INFINITY),
std::complex<double>(-1, -INFINITY),
std::complex<double>(-0.5, -INFINITY),
std::complex<double>(-0., -INFINITY),
std::complex<double>(+0., -INFINITY),
std::complex<double>(0.5, -INFINITY),
std::complex<double>(1, -INFINITY),
std::complex<double>(2, -INFINITY),
std::complex<double>(INFINITY, -INFINITY),
std::complex<double>(NAN, -2),
std::complex<double>(-INFINITY, -2),
std::complex<double>(-2, -2),
std::complex<double>(-1, -2),
std::complex<double>(-0.5, -2),
std::complex<double>(-0., -2),
std::complex<double>(+0., -2),
std::complex<double>(0.5, -2),
std::complex<double>(1, -2),
std::complex<double>(2, -2),
std::complex<double>(INFINITY, -2),
std::complex<double>(NAN, -1),
std::complex<double>(-INFINITY, -1),
std::complex<double>(-2, -1),
std::complex<double>(-1, -1),
std::complex<double>(-0.5, -1),
std::complex<double>(-0., -1),
std::complex<double>(+0., -1),
std::complex<double>(0.5, -1),
std::complex<double>(1, -1),
std::complex<double>(2, -1),
std::complex<double>(INFINITY, -1),
std::complex<double>(NAN, -0.5),
std::complex<double>(-INFINITY, -0.5),
std::complex<double>(-2, -0.5),
std::complex<double>(-1, -0.5),
std::complex<double>(-0.5, -0.5),
std::complex<double>(-0., -0.5),
std::complex<double>(+0., -0.5),
std::complex<double>(0.5, -0.5),
std::complex<double>(1, -0.5),
std::complex<double>(2, -0.5),
std::complex<double>(INFINITY, -0.5),
std::complex<double>(NAN, -0.),
std::complex<double>(-INFINITY, -0.),
std::complex<double>(-2, -0.),
std::complex<double>(-1, -0.),
std::complex<double>(-0.5, -0.),
std::complex<double>(-0., -0.),
std::complex<double>(+0., -0.),
std::complex<double>(0.5, -0.),
std::complex<double>(1, -0.),
std::complex<double>(2, -0.),
std::complex<double>(INFINITY, -0.),
std::complex<double>(NAN, +0.),
std::complex<double>(-INFINITY, +0.),
std::complex<double>(-2, +0.),
std::complex<double>(-1, +0.),
std::complex<double>(-0.5, +0.),
std::complex<double>(-0., +0.),
std::complex<double>(+0., +0.),
std::complex<double>(0.5, +0.),
std::complex<double>(1, +0.),
std::complex<double>(2, +0.),
std::complex<double>(INFINITY, +0.),
std::complex<double>(NAN, 0.5),
std::complex<double>(-INFINITY, 0.5),
std::complex<double>(-2, 0.5),
std::complex<double>(-1, 0.5),
std::complex<double>(-0.5, 0.5),
std::complex<double>(-0., 0.5),
std::complex<double>(+0., 0.5),
std::complex<double>(0.5, 0.5),
std::complex<double>(1, 0.5),
std::complex<double>(2, 0.5),
std::complex<double>(INFINITY, 0.5),
std::complex<double>(NAN, 1),
std::complex<double>(-INFINITY, 1),
std::complex<double>(-2, 1),
std::complex<double>(-1, 1),
std::complex<double>(-0.5, 1),
std::complex<double>(-0., 1),
std::complex<double>(+0., 1),
std::complex<double>(0.5, 1),
std::complex<double>(1, 1),
std::complex<double>(2, 1),
std::complex<double>(INFINITY, 1),
std::complex<double>(NAN, 2),
std::complex<double>(-INFINITY, 2),
std::complex<double>(-2, 2),
std::complex<double>(-1, 2),
std::complex<double>(-0.5, 2),
std::complex<double>(-0., 2),
std::complex<double>(+0., 2),
std::complex<double>(0.5, 2),
std::complex<double>(1, 2),
std::complex<double>(2, 2),
std::complex<double>(INFINITY, 2),
std::complex<double>(NAN, INFINITY),
std::complex<double>(-INFINITY, INFINITY),
std::complex<double>(-2, INFINITY),
std::complex<double>(-1, INFINITY),
std::complex<double>(-0.5, INFINITY),
std::complex<double>(-0., INFINITY),
std::complex<double>(+0., INFINITY),
std::complex<double>(0.5, INFINITY),
std::complex<double>(1, INFINITY),
std::complex<double>(2, INFINITY),
std::complex<double>(INFINITY, INFINITY)
};
enum {zero, non_zero, inf, NaN, non_zero_nan};
template <class T>
int
classify(const std::complex<T>& x)
{
if (x == std::complex<T>())
return zero;
if (std::isinf(x.real()) || std::isinf(x.imag()))
return inf;
if (std::isnan(x.real()) && std::isnan(x.imag()))
return NaN;
if (std::isnan(x.real()))
{
if (x.imag() == T(0))
return NaN;
return non_zero_nan;
}
if (std::isnan(x.imag()))
{
if (x.real() == T(0))
return NaN;
return non_zero_nan;
}
return non_zero;
}
inline
int
classify(double x)
{
if (x == 0)
return zero;
if (std::isinf(x))
return inf;
if (std::isnan(x))
return NaN;
return non_zero;
}
void is_about(float x, float y)
{
assert(std::abs((x-y)/(x+y)) < 1.e-6);
}
void is_about(double x, double y)
{
assert(std::abs((x-y)/(x+y)) < 1.e-14);
}
void is_about(long double x, long double y)
{
assert(std::abs((x-y)/(x+y)) < 1.e-14);
}
#endif // CASES_H