theoretica::complex< Type > Class Template Reference

Complex number in algebraic form \(a + ib\). More...

#include <complex.h>

Public Member Functions
	complex ()
	Default constructor, initializes the number to zero.
	complex (Type real_part, Type imag_part)
	Construct a complex number from its real and complex parts.
	complex (Type real_part)
	Construct a complex number from a real number, with zero imaginary part.
	complex (const complex &z)
	Copy constructor.
complex &	operator= (const complex &z)
	Assignment operator.
template<typename T = Type>
complex &	operator= (const std::array< T, 2 > &v)
	Assignment operator from a 2D array.
Type	Re () const
	Get the real part of the complex number.
Type &	Re ()
	Get the real part of the complex number.
Type	Im () const
	Get the imaginary part of the complex number.
Type &	Im ()
	Get the imaginary part of the complex number.
complex	conjugate () const
	Compute the conjugate of the complex number.
Type	sqr_norm () const
	Compute the square norm of the complex number.
Type	norm () const
	Compute the norm of the complex number.
complex	inverse () const
	Compute the inverse of the complex number.
complex &	invert ()
	Invert the complex number.
Type	arg () const
	Get the argument of the complex number.
complex	operator+ () const
	Identity (for consistency)
complex	operator+ (const complex &z) const
	Add two complex numbers.
complex	operator- () const
	Get the opposite of the complex number.
complex	operator- (const complex &z) const
	Subtract two complex numbers.
complex	operator* (const complex &z) const
	Multiply two complex numbers.
complex	operator/ (const complex &z) const
	Divide two complex numbers.
complex &	operator+= (const complex &z)
	Add a complex number to this one.
complex &	operator-= (const complex &z)
	Subtract a complex number from this one.
complex &	operator*= (const complex &z)
	Multiply the complex number by another.
complex &	operator/= (const complex &z)
	Divide the complex number by another.
complex	operator+ (Type k) const
	Add a real number to the complex number.
complex	operator- (Type k) const
	Subtract a real number from the complex number.
complex	operator* (Type k) const
	Multiply the complex number by a real number.
complex	operator/ (Type k) const
	Divide the complex number by a real number.
complex &	operator+= (Type k)
	Add a real number to the complex number.
complex &	operator-= (Type k)
	Subtract a real number from the complex number.
complex &	operator*= (Type k)
	Multiply the complex number by a real number.
complex &	operator/= (Type k)
	Divide the complex number by a real number.
bool	operator== (const complex &z) const
	Check whether two complex numbers are the same.
bool	operator!= (const complex &z) const
	Check whether two complex numbers are not the same.
	operator real ()
	Narrowing cast to a real number. More...
std::string	to_string () const
	Convert the complex number to string representation.
	operator std::string ()
	Convert the complex number to string representation.

Static Public Member Functions
static complex	rotor (Type rad)
	Construct a complex number representing a rotation of <rad> radians in 2 dimensions.
static complex	i ()
	Imaginary unit.

Public Attributes
Type	a
	Real part.
Type	b
	Imaginary part.

Friends
Type	Re (const complex &z)
	Extract the real part of the complex number.
Type &	Re (complex &z)
	Extract the real part of the complex number.
Type	Im (const complex &z)
	Extract the imaginary part of the complex number.
Type &	Im (complex &z)
	Extract the imaginary part of the complex number.
complex	operator+ (Type r, const complex &z)
complex	operator- (Type r, const complex &z)
complex	operator* (Type r, const complex &z)
complex	operator/ (Type r, const complex &z)
std::ostream &	operator<< (std::ostream &out, const complex &obj)
	Stream the complex number in string representation to an output stream (std::ostream)

Detailed Description

template<typename Type = real>
class theoretica::complex< Type >

Complex number in algebraic form \(a + ib\).

Member Function Documentation

operator real()

template<typename Type = real>

theoretica::complex< Type >::operator real ( )

inline

Narrowing cast to a real number.

If the imaginary part is greater in module than the machine epsilon, NaN is returned.

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The documentation for this class was generated from the following file:

• complex/complex.h