Complex Class Reference

Complex numbers. More...

#include <complex.h>

Public Member Functions
	Complex ()
	Empty, set complex to zero.
	Complex (const double &, const double &=0.0)
	Create a complex number.
constexpr double &	operator[] (int)
	Overloaded.
const constexpr double &	operator[] (int) const
	Overloaded.
Complex	operator+ () const
	Overloaded.
Complex	operator- () const
	Overloaded.
Complex &	operator+= (const Complex &)
	Overloaded.
Complex &	operator-= (const Complex &)
	Overloaded.
Complex &	operator*= (const Complex &)
	Overloaded.
Complex &	operator*= (const double &)
	Overloaded.
Complex &	operator/= (const double &)
	Overloaded.
double	Arg () const
	Returns the argument of a complex.
Complex	Conj () const
	Computes the conjugate of a complex number.
int	Escape (int=1024) const
	Compute the escape time in the Mandelbrot series.

Static Public Member Functions
static Complex	Polar (const double &, const double &)
	Returns a complex given modulus and argument.

Protected Attributes
double	y = 0.0
	Real and imaginary parts.

Friends
Complex	operator+ (const Complex &u, const Complex &v)
	Adds two complex numbers.
Complex	operator- (const Complex &u, const Complex &v)
	Subtract two complex numbers.
Complex	operator* (const Complex &u, const Complex &v)
	Multiplies two complex numbers.
Complex	operator* (const Complex &u, const double &a)
	Overloaded.
Complex	operator* (const double &a, const Complex &v)
	Overloaded.
Complex	operator/ (const Complex &u, const double &a)
	Overloaded.
Complex	operator/ (const Complex &u, const Complex &v)
	Divide two complex numbers.
Complex	operator/ (const double &a, const Complex &c)
	Compute the inverse of a complex number.
bool	operator== (const Complex &u, const Complex &v)
	Overloaded.
bool	operator!= (const Complex &u, const Complex &v)
	Overloaded.
double	Norm (const Complex &u)
	Returns the module of a complex.
void	Normalize (Complex &z)
	Normalize a complex.
Complex	Sqrt (const Complex &z)
	Computes the square root of a complex number.
std::ostream &	operator<< (std::ostream &s, const Complex &complex)
	Overloaded.

Detailed Description

Complex numbers.

All operators are overloaded to enable the writing of simple math expressions.

Constructor & Destructor Documentation

Complex()

Complex::Complex ( const double & a, const double & b = 0.0 )

inlineexplicit

Create a complex number.

Parameters

a,b	Real and imaginary parts.

Member Function Documentation

Escape()

int Complex::Escape

(

int

n = 1024

)

const

Compute the escape time in the Mandelbrot series.

Parameters

n	Maximum number of iterations.

operator[]()

double & Complex::operator[] ( int i )

inlineconstexpr

Overloaded.

Returns either the real part or the imaginary part of a complex number.

Polar()

Complex Complex::Polar ( const double & r, const double & t )

inlinestatic

Returns a complex given modulus and argument.

Parameters

r	Modulus.
t	Argument (in radian).

Friends And Related Symbol Documentation

Normalize

void Normalize ( Complex & z )

friend

Normalize a complex.

Complex c;
c/=Norm(c); // Equivalent 

Parameters

z	Complex number.

operator/

Complex operator/ ( const Complex & u, const Complex & v )

friend

Divide two complex numbers.

Parameters

u,v	Arguments.

operator<<

std::ostream & operator<< ( std::ostream & s, const Complex & complex )

friend

Overloaded.

Parameters

s	Stream.
complex	The complex.

Sqrt

Complex Sqrt ( const Complex & z )

friend

Computes the square root of a complex number.

Parameters

z	Complex number.