cxx/test/numerics/complex.number/complex.transcendentals/sqrt.pass.cpp
2010-05-11 21:36:01 +00:00

110 lines
3.1 KiB
C++

//===----------------------------------------------------------------------===//
//
// The LLVM Compiler Infrastructure
//
// This file is distributed under the University of Illinois Open Source
// License. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//
// <complex>
// template<class T>
// complex<T>
// sqrt(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)
{
std::complex<T> a = sqrt(c);
is_about(real(a), real(x));
assert(std::abs(imag(c)) < 1.e-6);
}
template <class T>
void
test()
{
test(std::complex<T>(64, 0), std::complex<T>(8, 0));
}
void test_edges()
{
const unsigned N = sizeof(x) / sizeof(x[0]);
for (unsigned i = 0; i < N; ++i)
{
std::complex<double> r = sqrt(x[i]);
if (x[i].real() == 0 && x[i].imag() == 0)
{
assert(!std::signbit(r.real()));
assert(std::signbit(r.imag()) == std::signbit(x[i].imag()));
}
else if (std::isinf(x[i].imag()))
{
assert(std::isinf(r.real()));
assert(r.real() > 0);
assert(std::isinf(r.imag()));
assert(std::signbit(r.imag()) == std::signbit(x[i].imag()));
}
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()) && x[i].real() < 0 && std::isfinite(x[i].imag()))
{
assert(r.real() == 0);
assert(!std::signbit(r.real()));
assert(std::isinf(r.imag()));
assert(std::signbit(x[i].imag()) == std::signbit(r.imag()));
}
else if (std::isinf(x[i].real()) && x[i].real() > 0 && std::isfinite(x[i].imag()))
{
assert(std::isinf(r.real()));
assert(r.real() > 0);
assert(r.imag() == 0);
assert(std::signbit(x[i].imag()) == std::signbit(r.imag()));
}
else if (std::isinf(x[i].real()) && x[i].real() < 0 && std::isnan(x[i].imag()))
{
assert(std::isnan(r.real()));
assert(std::isinf(r.imag()));
}
else if (std::isinf(x[i].real()) && x[i].real() > 0 && std::isnan(x[i].imag()))
{
assert(std::isinf(r.real()));
assert(r.real() > 0);
assert(std::isnan(r.imag()));
}
else if (std::isnan(x[i].real()) && (std::isfinite(x[i].imag()) || std::isnan(x[i].imag())))
{
assert(std::isnan(r.real()));
assert(std::isnan(r.imag()));
}
else if (std::signbit(x[i].imag()))
{
assert(!std::signbit(r.real()));
assert(std::signbit(r.imag()));
}
else
{
assert(!std::signbit(r.real()));
assert(!std::signbit(r.imag()));
}
}
}
int main()
{
test<float>();
test<double>();
test<long double>();
test_edges();
}