Complex.hpp File Reference

#include "alpaka/core/Common.hpp"
#include "alpaka/core/Decay.hpp"
#include "alpaka/math/FloatEqualExact.hpp"
#include "alpaka/math/Traits.hpp"
#include <cmath>
#include <complex>
#include <iostream>
#include <type_traits>

Go to the source code of this file.

Classes
class	alpaka::internal::Complex< T >
	Implementation of a complex number useable on host and device. More...

Namespaces
namespace	alpaka
	The alpaka accelerator library.
namespace	alpaka::internal
namespace	alpaka::math
namespace	alpaka::math::trait
	The math traits.

Functions
template<typename T , typename TChar , typename TTraits >
std::basic_ostream< TChar, TTraits > &	alpaka::internal::operator<< (std::basic_ostream< TChar, TTraits > &os, Complex< T > const &x)
	Host-only output of a complex number.
template<typename T , typename TChar , typename TTraits >
std::basic_istream< TChar, TTraits > &	alpaka::internal::operator>> (std::basic_istream< TChar, TTraits > &is, Complex< T > const &x)
	Host-only input of a complex number.
template<typename T >
constexpr ALPAKA_FN_HOST_ACC bool	alpaka::internal::operator!= (Complex< T > const &lhs, Complex< T > const &rhs)
	Inequality of two complex numbers.
template<typename T >
constexpr ALPAKA_FN_HOST_ACC bool	alpaka::internal::operator!= (Complex< T > const &lhs, T const &rhs)
	Inequality of a complex and a real number.
template<typename T >
constexpr ALPAKA_FN_HOST_ACC bool	alpaka::internal::operator!= (T const &lhs, Complex< T > const &rhs)
	Inequality of a real and a complex number.
template<typename T >
ALPAKA_FN_HOST_ACC Complex< T >	alpaka::internal::operator* (Complex< T > const &lhs, Complex< T > const &rhs)
	Muptiplication of two complex numbers.
template<typename T >
ALPAKA_FN_HOST_ACC Complex< T >	alpaka::internal::operator* (Complex< T > const &lhs, T const &rhs)
	Muptiplication of a complex and a real number.
template<typename T >
ALPAKA_FN_HOST_ACC Complex< T >	alpaka::internal::operator* (T const &lhs, Complex< T > const &rhs)
	Muptiplication of a real and a complex number.
template<typename T >
ALPAKA_FN_HOST_ACC Complex< T >	alpaka::internal::operator+ (Complex< T > const &lhs, Complex< T > const &rhs)
	Addition of two complex numbers.
template<typename T >
ALPAKA_FN_HOST_ACC Complex< T >	alpaka::internal::operator+ (Complex< T > const &lhs, T const &rhs)
	Addition of a complex and a real number.
template<typename T >
ALPAKA_FN_HOST_ACC Complex< T >	alpaka::internal::operator+ (Complex< T > const &val)
	Host-device arithmetic operations matching std::complex<T>.
template<typename T >
ALPAKA_FN_HOST_ACC Complex< T >	alpaka::internal::operator+ (T const &lhs, Complex< T > const &rhs)
	Addition of a real and a complex number.
template<typename T >
ALPAKA_FN_HOST_ACC Complex< T >	alpaka::internal::operator- (Complex< T > const &lhs, Complex< T > const &rhs)
	Subtraction of two complex numbers.
template<typename T >
ALPAKA_FN_HOST_ACC Complex< T >	alpaka::internal::operator- (Complex< T > const &lhs, T const &rhs)
	Subtraction of a complex and a real number.
template<typename T >
ALPAKA_FN_HOST_ACC Complex< T >	alpaka::internal::operator- (Complex< T > const &val)
	Unary minus.
template<typename T >
ALPAKA_FN_HOST_ACC Complex< T >	alpaka::internal::operator- (T const &lhs, Complex< T > const &rhs)
	Subtraction of a real and a complex number.
template<typename T >
ALPAKA_FN_HOST_ACC Complex< T >	alpaka::internal::operator/ (Complex< T > const &lhs, Complex< T > const &rhs)
	Division of two complex numbers.
template<typename T >
ALPAKA_FN_HOST_ACC Complex< T >	alpaka::internal::operator/ (Complex< T > const &lhs, T const &rhs)
	Division of complex and a real number.
template<typename T >
ALPAKA_FN_HOST_ACC Complex< T >	alpaka::internal::operator/ (T const &lhs, Complex< T > const &rhs)
	Division of a real and a complex number.
template<typename T >
constexpr ALPAKA_FN_HOST_ACC bool	alpaka::internal::operator== (Complex< T > const &lhs, Complex< T > const &rhs)
	Equality of two complex numbers.
template<typename T >
constexpr ALPAKA_FN_HOST_ACC bool	alpaka::internal::operator== (Complex< T > const &lhs, T const &rhs)
	Equality of a complex and a real number.
template<typename T >
constexpr ALPAKA_FN_HOST_ACC bool	alpaka::internal::operator== (T const &lhs, Complex< T > const &rhs)
	Equality of a real and a complex number.
template<typename T >
ALPAKA_NO_HOST_ACC_WARNING constexpr ALPAKA_FN_HOST_ACC T	alpaka::internal::abs (Complex< T > const &x)
	Host-only math functions matching std::complex<T>.
template<typename T >
ALPAKA_NO_HOST_ACC_WARNING constexpr ALPAKA_FN_HOST_ACC Complex< T >	alpaka::internal::acos (Complex< T > const &x)
	Arc cosine.
template<typename T >
ALPAKA_NO_HOST_ACC_WARNING constexpr ALPAKA_FN_HOST_ACC Complex< T >	alpaka::internal::acosh (Complex< T > const &x)
	Arc hyperbolic cosine.
template<typename T >
ALPAKA_NO_HOST_ACC_WARNING constexpr ALPAKA_FN_HOST_ACC T	alpaka::internal::arg (Complex< T > const &x)
	Argument.
template<typename T >
ALPAKA_NO_HOST_ACC_WARNING constexpr ALPAKA_FN_HOST_ACC Complex< T >	alpaka::internal::asin (Complex< T > const &x)
	Arc sine.
template<typename T >
ALPAKA_NO_HOST_ACC_WARNING constexpr ALPAKA_FN_HOST_ACC Complex< T >	alpaka::internal::asinh (Complex< T > const &x)
	Arc hyperbolic sine.
template<typename T >
ALPAKA_NO_HOST_ACC_WARNING constexpr ALPAKA_FN_HOST_ACC Complex< T >	alpaka::internal::atan (Complex< T > const &x)
	Arc tangent.
template<typename T >
ALPAKA_NO_HOST_ACC_WARNING constexpr ALPAKA_FN_HOST_ACC Complex< T >	alpaka::internal::atanh (Complex< T > const &x)
	Arc hyperbolic tangent.
template<typename T >
ALPAKA_NO_HOST_ACC_WARNING constexpr ALPAKA_FN_HOST_ACC Complex< T >	alpaka::internal::conj (Complex< T > const &x)
	Complex conjugate.
template<typename T >
ALPAKA_NO_HOST_ACC_WARNING constexpr ALPAKA_FN_HOST_ACC Complex< T >	alpaka::internal::cos (Complex< T > const &x)
	Cosine.
template<typename T >
ALPAKA_NO_HOST_ACC_WARNING constexpr ALPAKA_FN_HOST_ACC Complex< T >	alpaka::internal::cosh (Complex< T > const &x)
	Hyperbolic cosine.
template<typename T >
ALPAKA_NO_HOST_ACC_WARNING constexpr ALPAKA_FN_HOST_ACC Complex< T >	alpaka::internal::exp (Complex< T > const &x)
	Exponential.
template<typename T >
ALPAKA_NO_HOST_ACC_WARNING constexpr ALPAKA_FN_HOST_ACC Complex< T >	alpaka::internal::log (Complex< T > const &x)
	Natural logarithm.
template<typename T >
ALPAKA_NO_HOST_ACC_WARNING constexpr ALPAKA_FN_HOST_ACC Complex< T >	alpaka::internal::log10 (Complex< T > const &x)
	Base 10 logarithm.
template<typename T >
ALPAKA_NO_HOST_ACC_WARNING constexpr ALPAKA_FN_HOST_ACC T	alpaka::internal::norm (Complex< T > const &x)
	Squared magnitude.
template<typename T >
ALPAKA_NO_HOST_ACC_WARNING constexpr ALPAKA_FN_HOST_ACC Complex< T >	alpaka::internal::polar (T const &r, T const &theta=T())
	Get a complex number with given magnitude and phase angle.
template<typename T , typename U >
ALPAKA_NO_HOST_ACC_WARNING constexpr ALPAKA_FN_HOST_ACC auto	alpaka::internal::pow (Complex< T > const &x, Complex< U > const &y)
	Complex power of a complex number.
template<typename T , typename U >
ALPAKA_NO_HOST_ACC_WARNING constexpr ALPAKA_FN_HOST_ACC auto	alpaka::internal::pow (Complex< T > const &x, U const &y)
	Real power of a complex number.
template<typename T , typename U >
ALPAKA_NO_HOST_ACC_WARNING constexpr ALPAKA_FN_HOST_ACC auto	alpaka::internal::pow (T const &x, Complex< U > const &y)
	Complex power of a real number.
template<typename T >
ALPAKA_NO_HOST_ACC_WARNING constexpr ALPAKA_FN_HOST_ACC Complex< T >	alpaka::internal::proj (Complex< T > const &x)
	Projection onto the Riemann sphere.
template<typename T >
ALPAKA_NO_HOST_ACC_WARNING constexpr ALPAKA_FN_HOST_ACC Complex< T >	alpaka::internal::sin (Complex< T > const &x)
	Sine.
template<typename T >
ALPAKA_NO_HOST_ACC_WARNING constexpr ALPAKA_FN_HOST_ACC Complex< T >	alpaka::internal::sinh (Complex< T > const &x)
	Hyperbolic sine.
template<typename T >
ALPAKA_NO_HOST_ACC_WARNING constexpr ALPAKA_FN_HOST_ACC Complex< T >	alpaka::internal::sqrt (Complex< T > const &x)
	Square root.
template<typename T >
ALPAKA_NO_HOST_ACC_WARNING constexpr ALPAKA_FN_HOST_ACC Complex< T >	alpaka::internal::tan (Complex< T > const &x)
	Tangent.
template<typename T >
ALPAKA_NO_HOST_ACC_WARNING constexpr ALPAKA_FN_HOST_ACC Complex< T >	alpaka::internal::tanh (Complex< T > const &x)
	Hyperbolic tangent.