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complex.cpp
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//
// Copyright (c) 2005, 2006 by CodeSourcery
// Copyright (c) 2013 Stefan Seefeld
// All rights reserved.
//
// This file is part of OpenVSIP. It is made available under the
// license contained in the accompanying LICENSE.GPL file.
#include <vsip/initfin.hpp>
#include <vsip/complex.hpp>
#include <test.hpp>
using namespace ovxx;
#define TEST_COMPLEX_FUNCTIONS \
complex<float> a(3.f, -4.f); \
complex<float> b(1.f, 0.f); \
complex<float> z; \
int i = 1; \
float f = 1.f; \
float s; \
bool x; \
\
z = cos(a); \
z = cosh(a); \
z = exp(a); \
z = log(a); \
z = log10(a); \
z = sin(a); \
z = sinh(a); \
z = sqrt(a); \
z = tan(a); \
z = tanh(a); \
z = conj(a); test_assert(equal(z, complex<float>(3.f, 4.f))); \
s = real(a); test_assert(equal(s, 3.f)); \
s = imag(a); test_assert(equal(s, -4.f)); \
s = abs(a); test_assert(equal(s, 5.f)); \
s = arg(a); \
s = norm(a); test_assert(equal(s, 25.f)); \
z = pow(a, i); test_assert(equal(z, a)); \
z = pow(a, b); test_assert(equal(z, a)); \
z = pow(a, f); test_assert(equal(z, a)); \
z = pow(f, b); test_assert(equal(z, b)); \
z = operator+(a, b); test_assert(equal(z, complex<float>(4.f, -4.f)));\
z = operator-(a, b); test_assert(equal(z, complex<float>(2.f, -4.f)));\
z = operator*(a, b); test_assert(equal(z, complex<float>(3.f, -4.f)));\
z = operator/(a, b); test_assert(equal(z, complex<float>(3.f, -4.f)));\
x = operator==(a, b); test_assert(x == false); \
x = operator!=(a, b); test_assert(x == true); \
\
z = vsip::cos(a); \
z = vsip::cosh(a); \
z = vsip::exp(a); \
z = vsip::log(a); \
z = vsip::log10(a); \
z = vsip::sin(a); \
z = vsip::sinh(a); \
z = vsip::sqrt(a); \
z = vsip::tan(a); \
z = vsip::tanh(a); \
z = vsip::conj(a); test_assert(equal(z, complex<float>(3.f, 4.f))); \
s = vsip::real(a); test_assert(equal(s, 3.f)); \
s = vsip::imag(a); test_assert(equal(s, -4.f)); \
s = vsip::abs(a); test_assert(equal(s, 5.f)); \
s = vsip::arg(a); \
s = vsip::norm(a); test_assert(equal(s, 25.f)); \
z = vsip::pow(a, i); test_assert(equal(z, a)); \
z = vsip::pow(a, b); test_assert(equal(z, a)); \
z = vsip::pow(a, f); test_assert(equal(z, a)); \
z = vsip::pow(f, b); test_assert(equal(z, b)); \
z = vsip::operator+(a, b); test_assert(equal(z, complex<float>(4.f, -4.f))); \
z = vsip::operator-(a, b); test_assert(equal(z, complex<float>(2.f, -4.f))); \
z = vsip::operator*(a, b); test_assert(equal(z, complex<float>(3.f, -4.f))); \
z = vsip::operator/(a, b); test_assert(equal(z, complex<float>(3.f, -4.f))); \
x = vsip::operator==(a, b); test_assert(x == false); \
x = vsip::operator!=(a, b); test_assert(x == true); \
\
z = std::cos(a); \
z = std::cosh(a); \
z = std::exp(a); \
z = std::log(a); \
z = std::log10(a); \
z = std::sin(a); \
z = std::sinh(a); \
z = std::sqrt(a); \
z = std::tan(a); \
z = std::tanh(a); \
z = std::conj(a); \
z = std::conj(a); test_assert(equal(z, complex<float>(3.f, 4.f))); \
s = std::real(a); test_assert(equal(s, 3.f)); \
s = std::imag(a); test_assert(equal(s, -4.f)); \
s = std::abs(a); test_assert(equal(s, 5.f)); \
s = std::arg(a); \
s = std::norm(a); test_assert(equal(s, 25.f)); \
z = std::pow(a, i); test_assert(equal(z, a)); \
z = std::pow(a, b); test_assert(equal(z, a)); \
z = std::pow(a, f); test_assert(equal(z, a)); \
z = std::pow(f, b); test_assert(equal(z, b)); \
z = std::operator+(a, b); test_assert(equal(z, complex<float>(4.f, -4.f))); \
z = std::operator-(a, b); test_assert(equal(z, complex<float>(2.f, -4.f))); \
z = std::operator*(a, b); test_assert(equal(z, complex<float>(3.f, -4.f))); \
z = std::operator/(a, b); test_assert(equal(z, complex<float>(3.f, -4.f))); \
x = std::operator==(a, b); test_assert(x == false); \
x = std::operator!=(a, b); test_assert(x == true); \
/* last */
/***********************************************************************
Definitions
***********************************************************************/
namespace test_using_both
{
using namespace vsip;
using namespace std;
void
test()
{
TEST_COMPLEX_FUNCTIONS
}
} // namespace test_using_both
namespace test_using_vsip
{
using namespace vsip;
void
test()
{
TEST_COMPLEX_FUNCTIONS
}
} // namespace test_using_vsip
namespace test_using_std
{
using namespace std;
void
test()
{
TEST_COMPLEX_FUNCTIONS
}
} // namespace test_using_std
namespace test_using_none
{
using vsip::complex;
void
test()
{
TEST_COMPLEX_FUNCTIONS
}
} // namespace test_using_none
template <typename T>
void
test_complex()
{
using vsip::complex;
T real = T(1);
T imag = T(2);
complex<T> c1(real, imag);
test_assert(equal(c1.real(), real));
test_assert(equal(c1.imag(), imag));
complex<T> c2 = c1 + T(1);
test_assert(equal(c2.real(), T(real + 1)));
test_assert(equal(c2.imag(), imag));
complex<T> c3 = c1 + complex<T>(T(0), T(1));
test_assert(equal(c3.real(), real));
test_assert(equal(c3.imag(), T(imag + 1)));
}
/// Test polar conversion functions.
template <typename T>
void
test_polar()
{
using vsip::complex;
using vsip::recttopolar;
using vsip::polartorect;
complex<T> c1;
complex<T> c2;
T mag;
T phase;
T pi = 4*std::atan(1.f);
c1 = complex<T>(T(1), T(0));
recttopolar(c1, mag, phase);
test_assert(equal(mag, T(1)));
test_assert(equal(phase, T(0)));
c2 = polartorect(mag, phase);
test_assert(equal(c1, c2));
c1 = complex<T>(T(0), T(1));
recttopolar(c1, mag, phase);
test_assert(equal(mag, T(1)));
test_assert(equal(phase, pi/2));
c2 = polartorect(mag, phase);
test_assert(equal(c1, c2));
c1 = complex<T>(T(1), T(1));
vsip::recttopolar(c1, mag, phase);
test_assert(equal(mag, std::sqrt(T(2))));
test_assert(equal(phase, pi/4));
c2 = polartorect(mag, phase);
test_assert(equal(c1, c2));
c2 = polartorect(T(3));
test_assert(equal(c2, complex<T>(T(3), T(0))));
}
template <typename T>
void
test_polar_view(vsip::length_type size)
{
using vsip::complex;
using vsip::recttopolar;
using vsip::polartorect;
vsip::Vector<complex<T> > v1(size), v2(size);
vsip::Vector<T> mag(size), phase(size);
T pi = 4*std::atan(1.f);
v1 = complex<T>(T(1), T(0));
recttopolar(v1, mag, phase);
test_assert(equal(mag(0), T(1)));
test_assert(equal(phase(0), T(0)));
v2 = polartorect(mag, phase);
test_assert(equal(v1, v2));
v1 = complex<T>(T(0), T(1));
recttopolar(v1, mag, phase);
test_assert(equal(mag(0), T(1)));
test_assert(equal(phase(0), pi/2));
v2 = polartorect(mag, phase);
test_assert(equal(v1, v2));
v1 = complex<T>(T(1), T(1));
recttopolar(v1, mag, phase);
test_assert(equal(mag(0), std::sqrt(T(2))));
test_assert(equal(phase(0), pi/4));
v2 = polartorect(mag, phase);
test_assert(equal(v1, v2));
v2 = polartorect(T(3));
test_assert(equal(v2(0), complex<T>(T(3), T(0))));
}
template <typename T1, typename T2>
inline void
test_cmplx(vsip::length_type size)
{
vsip::Vector<T1> v1(size, 1.), v2(size, 2.);
vsip::Vector<vsip::complex<T1> > c = vsip::cmplx(v1, v2);
typename vsip::Vector<vsip::complex<T1> >::realview_type r = c.real();
typename vsip::Vector<vsip::complex<T1> >::imagview_type i = c.imag();
test_assert(equal(r, v1));
test_assert(equal(i, v2));
}
/// Test that functions such as exp, cos, etc. are available for complex.
template <typename T>
void
test_exp(T x, T y)
{
using vsip::complex;
complex<T> c1;
complex<T> c2;
T pi = 4*std::atan(1.f);
c1 = complex<T>(x, y);
c2 = exp(c1);
test_assert(equal(c2.real(), T(exp(x)*cos(y))));
test_assert(equal(c2.imag(), T(exp(x)*sin(y))));
test_assert(equal(exp(complex<T>(0, pi)) + T(1),
complex<T>(0)));
}
int
main(int argc, char** argv)
{
vsip::vsipl init(argc, argv);
test_using_both::test();
test_using_vsip::test();
test_using_std::test();
test_using_none::test();
test_complex<int>();
test_complex<float>();
test_complex<double>();
test_complex<short>();
test_polar<float>();
test_polar<double>();
test_polar_view<float>(5);
test_polar_view<double>(6);
test_cmplx<float, float>(2);
test_cmplx<double, float>(3);
test_cmplx<double, double>(4);
test_exp<float> (1.f, 2.f);
test_exp<double>(2.0, 1.0);
}