complex_operator.hpp File Reference

#include "./operation.hpp"

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Classes
struct	ceras::complex< Real_Ex, Imag_Ex >
struct	ceras::is_complex< T >
struct	ceras::is_complex< complex< Real_Ex, Imag_Ex > >

Namespaces
	ceras

Functions
template<Expression Real_Ex, Expression Imag_Ex>
Real_Ex	ceras::real (complex< Real_Ex, Imag_Ex > const &c) noexcept
template<Expression Real_Ex, Expression Imag_Ex>
Imag_Ex	ceras::imag (complex< Real_Ex, Imag_Ex > const &c) noexcept
template<Complex C>
auto	ceras::abs (C const &c) noexcept
	Returns the magnitude of the complex expression. More...
template<Complex C>
auto	ceras::norm (C const &c) noexcept
	Returns the squared magnitude of the complex expression. More...
template<Complex C>
auto	ceras::conj (C const &c) noexcept
	Returns the conjugate of the complex expression. More...
template<Expression Em, Expression Ep>
auto	ceras::polar (Em const &em, Ep const &ep) noexcept
	Returns with given magnitude and phase angle. More...
template<Complex C>
auto	ceras::arg (C const &c) noexcept
	Calculates the phase angle (in radians) of the complex expression. More...
template<Complex C>
auto	ceras::operator+ (C const &c) noexcept
	Returns the complex expression. More...
template<Complex C>
auto	ceras::operator- (C const &c) noexcept
	Negatives the complex expression. More...
template<Complex Cl, Complex Cr>
auto	ceras::operator+ (Cl const &cl, Cr const &cr) noexcept
	Sums up two complex expressions. More...
template<Complex Cl, Complex Cr>
auto	ceras::operator- (Cl const &cl, Cr const &cr) noexcept
	Subtracts one complex expression from the other one. More...
template<Complex Cl, Complex Cr>
auto	ceras::operator* (Cl const &cl, Cr const &cr) noexcept
	Multiplies two complex expressions. Optimization here: (a+ib)*(c+id) = (ac-bd) + i(ad+bc) = (ac-bd) + i( (a+b)*(c+d)-ac-bd ) More...
template<Complex C, Expression E>
auto	ceras::operator+ (C const &c, E const &e) noexcept
	Sums up a complex expression and an expression. More...
template<Complex C, Expression E>
auto	ceras::operator+ (E const &e, C const &c) noexcept
	Sums up a complex expression and an expression. More...
template<Complex C, Expression E>
auto	ceras::operator- (C const &c, E const &e) noexcept
	Subtracts an expression from a compression expression. More...
template<Complex C, Expression E>
auto	ceras::operator- (E const &e, C const &c) noexcept
	Subtractsa complex expression from an expression. More...
template<Complex C, Expression E>
auto	ceras::operator* (C const &c, E const &e) noexcept
	Multiplies a complex expression with an expression. More...
template<Complex C, Expression E>
auto	ceras::operator* (E const &e, C const &c) noexcept
	Multiplies an expression with a compression expression. More...

Variables
template<typename T >
constexpr bool	ceras::is_complex_v = is_complex<T>::value
template<typename T >
concept	ceras::Complex = is_complex_v<T>
	A type that represents a complex expression. More...