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

141 lines
4.4 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>
// acos(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(acos(c) == x);
}
template <class T>
void
test()
{
test(std::complex<T>(INFINITY, 1), std::complex<T>(0, -INFINITY));
}
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 = acos(x[i]);
if (x[i].real() == 0 && x[i].imag() == 0)
{
is_about(r.real(), pi/2);
assert(r.imag() == 0);
assert(std::signbit(x[i].imag()) != std::signbit(r.imag()));
}
else if (x[i].real() == 0 && std::isnan(x[i].imag()))
{
is_about(r.real(), pi/2);
assert(std::isnan(r.imag()));
}
else if (std::isfinite(x[i].real()) && std::isinf(x[i].imag()))
{
is_about(r.real(), pi/2);
assert(std::isinf(r.imag()));
assert(std::signbit(x[i].imag()) != std::signbit(r.imag()));
}
else if (std::isfinite(x[i].real()) && x[i].real() != 0 && 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()))
{
is_about(r.real(), pi);
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(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::isinf(x[i].imag()))
{
is_about(r.real(), 0.75 * pi);
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::isinf(x[i].imag()))
{
is_about(r.real(), 0.25 * pi);
assert(std::isinf(r.imag()));
assert(std::signbit(x[i].imag()) != std::signbit(r.imag()));
}
else if (std::isinf(x[i].real()) && std::isnan(x[i].imag()))
{
assert(std::isnan(r.real()));
assert(std::isinf(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::isnan(r.real()));
assert(std::isinf(r.imag()));
assert(std::signbit(x[i].imag()) != std::signbit(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 if (!std::signbit(x[i].real()) && !std::signbit(x[i].imag()))
{
assert(!std::signbit(r.real()));
assert( std::signbit(r.imag()));
}
else if (std::signbit(x[i].real()) && !std::signbit(x[i].imag()))
{
assert(!std::signbit(r.real()));
assert( std::signbit(r.imag()));
}
else if (std::signbit(x[i].real()) && std::signbit(x[i].imag()))
{
assert(!std::signbit(r.real()));
assert(!std::signbit(r.imag()));
}
else if (!std::signbit(x[i].real()) && std::signbit(x[i].imag()))
{
assert(!std::signbit(r.real()));
assert(!std::signbit(r.imag()));
}
}
}
int main()
{
test<float>();
test<double>();
test<long double>();
test_edges();
}