//===----------------------------------------------------------------------===//
//
// The LLVM Compiler Infrastructure
//
// This file is dual licensed under the MIT and the University of Illinois Open
// Source Licenses. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//
// <complex>
// template<class T>
// complex<T>
// asinh(const complex<T>& x);
#include <complex>
#include <cassert>
#include "../cases.h"
template <class T>
void
test(const std::complex<T>& c, std::complex<T> x)
{
assert(asinh(c) == x);
}
template <class T>
void
test()
{
test(std::complex<T>(0, 0), std::complex<T>(0, 0));
}
void test_edges()
{
typedef std::complex<double> C;
const double pi = std::atan2(+0., -0.);
const unsigned N = sizeof(x) / sizeof(x[0]);
for (unsigned i = 0; i < N; ++i)
{
std::complex<double> r = asinh(x[i]);
if (x[i].real() == 0 && x[i].imag() == 0)
{
assert(std::signbit(r.real()) == std::signbit(x[i].real()));
assert(std::signbit(r.imag()) == std::signbit(x[i].imag()));
}
else if (std::isfinite(x[i].real()) && std::isinf(x[i].imag()))
{
assert(std::isinf(r.real()));
assert(std::signbit(x[i].real()) == std::signbit(r.real()));
if (std::signbit(x[i].imag()))
is_about(r.imag(), -pi/2);
else
is_about(r.imag(), pi/2);
}
else if (std::isfinite(x[i].real()) && std::isnan(x[i].imag()))
{
assert(std::isnan(r.real()));
assert(std::isnan(r.imag()));
}
else if (std::isinf(x[i].real()) && std::isfinite(x[i].imag()))
{
assert(std::isinf(r.real()));
assert(std::signbit(x[i].real()) == std::signbit(r.real()));
assert(r.imag() == 0);
assert(std::signbit(x[i].imag()) == std::signbit(r.imag()));
}
else if (std::isinf(x[i].real()) && std::isinf(x[i].imag()))
{
assert(std::isinf(r.real()));
assert(std::signbit(x[i].real()) == std::signbit(r.real()));
if (std::signbit(x[i].imag()))
is_about(r.imag(), -pi/4);
else
is_about(r.imag(), pi/4);
}
else if (std::isinf(x[i].real()) && std::isnan(x[i].imag()))
{
assert(std::isinf(r.real()));
assert(std::signbit(x[i].real()) == std::signbit(r.real()));
assert(std::isnan(r.imag()));
}
else if (std::isnan(x[i].real()) && x[i].imag() == 0)
{
assert(std::isnan(r.real()));
assert(r.imag() == 0);
assert(std::signbit(x[i].imag()) == std::signbit(r.imag()));
}
else if (std::isnan(x[i].real()) && std::isfinite(x[i].imag()))
{
assert(std::isnan(r.real()));
assert(std::isnan(r.imag()));
}
else if (std::isnan(x[i].real()) && std::isinf(x[i].imag()))
{
assert(std::isinf(r.real()));
assert(std::isnan(r.imag()));
}
else if (std::isnan(x[i].real()) && std::isnan(x[i].imag()))
{
assert(std::isnan(r.real()));
assert(std::isnan(r.imag()));
}
else
{
assert(std::signbit(r.real()) == std::signbit(x[i].real()));
assert(std::signbit(r.imag()) == std::signbit(x[i].imag()));
}
}
}
int main()
{
test<float>();
test<double>();
test<long double>();
test_edges();
}