forked from OSchip/llvm-project
132 lines
3.8 KiB
C++
132 lines
3.8 KiB
C++
//===----------------------------------------------------------------------===//
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//
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// The LLVM Compiler Infrastructure
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//
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// This file is dual licensed under the MIT and the University of Illinois Open
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// Source Licenses. See LICENSE.TXT for details.
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//
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//===----------------------------------------------------------------------===//
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// <complex>
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// template<class T>
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// complex<T>
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// log(const complex<T>& x);
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#include <complex>
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#include <cassert>
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#include "../cases.h"
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template <class T>
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void
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test(const std::complex<T>& c, std::complex<T> x)
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{
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assert(log(c) == x);
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}
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template <class T>
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void
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test()
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{
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test(std::complex<T>(0, 0), std::complex<T>(-INFINITY, 0));
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}
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void test_edges()
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{
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const double pi = std::atan2(+0., -0.);
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const unsigned N = sizeof(x) / sizeof(x[0]);
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for (unsigned i = 0; i < N; ++i)
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{
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std::complex<double> r = log(x[i]);
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if (x[i].real() == 0 && x[i].imag() == 0)
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{
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if (std::signbit(x[i].real()))
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{
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assert(std::isinf(r.real()));
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assert(r.real() < 0);
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if (std::signbit(x[i].imag()))
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is_about(r.imag(), -pi);
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else
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is_about(r.imag(), pi);
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}
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else
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{
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assert(std::isinf(r.real()));
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assert(r.real() < 0);
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assert(r.imag() == 0);
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assert(std::signbit(x[i].imag()) == std::signbit(r.imag()));
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}
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}
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else if (std::isfinite(x[i].real()) && std::isinf(x[i].imag()))
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{
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assert(std::isinf(r.real()));
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assert(r.real() > 0);
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if (x[i].imag() > 0)
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is_about(r.imag(), pi/2);
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else
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is_about(r.imag(), -pi/2);
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}
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else if (std::isfinite(x[i].real()) && std::isnan(x[i].imag()))
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{
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assert(std::isnan(r.real()));
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assert(std::isnan(r.imag()));
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}
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else if (std::isinf(x[i].real()) && x[i].real() < 0 && std::isfinite(x[i].imag()))
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{
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assert(std::isinf(r.real()) && r.real() > 0);
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if (r.imag() > 0)
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is_about(r.imag(), pi);
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else
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is_about(r.imag(), -pi);
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}
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else if (std::isinf(x[i].real()) && x[i].real() > 0 && std::isfinite(x[i].imag()))
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{
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assert(std::isinf(r.real()) && r.real() > 0);
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assert(r.imag() == 0);
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assert(std::signbit(x[i].imag()) == std::signbit(r.imag()));
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}
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else if (x[i].real() == 1 && x[i].imag() == 0)
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{
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assert(r.real() == 0);
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assert(std::signbit(r.imag()) == std::signbit(x[i].imag()));
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}
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else if (x[i].real() == 0 && x[i].imag() == 1)
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{
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assert(r.real() == 0);
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is_about(r.imag(), pi/2);
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}
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else if (x[i].real() == -1 && x[i].imag() == 0)
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{
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assert(r.real() == 0);
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if (std::signbit(x[i].imag()))
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is_about(r.imag(), -pi);
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else
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is_about(r.imag(), pi);
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}
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else if (x[i].real() == 0 && x[i].imag() == -1)
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{
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assert(r.real() == 0);
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is_about(r.imag(), -pi/2);
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}
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else if (std::isfinite(x[i].real()) && std::isfinite(x[i].imag()) && abs(x[i]) < 1)
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{
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assert( std::signbit(r.real()));
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assert(std::signbit(r.imag()) == std::signbit(x[i].imag()));
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}
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else if (std::isfinite(x[i].real()) && std::isfinite(x[i].imag()) && abs(x[i]) > 1)
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{
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assert(!std::signbit(r.real()));
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assert(std::signbit(r.imag()) == std::signbit(x[i].imag()));
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}
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}
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}
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int main()
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{
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test<float>();
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test<double>();
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test<long double>();
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test_edges();
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}
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