Complex Struct Reference

Complex numbers. More...

List of all members.

Public Member Functions
	Complex (double re, double im)
	Complex number from the read and imaginary parts.
bool	Equals (Complex c)
override string	ToString ()
	String value of the complex number.
Static Public Member Functions
static Complex	FromPolar (double modulus, double argument)
	Complex number from polar coordinates.
static implicit	operator Complex (double r)
	Implicit cast from a double.
static implicit	operator Complex (int i)
	Implicit cast from int.
static Complex	operator+ (Complex z, Complex s)
	Overloaded binary + operator.
static Complex	operator- (Complex z, Complex s)
	Overloaded binary - operator.
static Complex	operator- (Complex z)
	Overloaded unary - operator.
static Complex	operator* (Complex z, Complex s)
	Overloaded binary operator.
static Complex	operator/ (Complex z, Complex s)
	Overloaded binary / operator.
Properties
double	Re [get, set]
	The real part.
double	Im [get, set]
	The imaginary part.
double	Modulus [get]
	Modulus (radius) of the complex number.
double	Argument [get]
	Argument (angle) of the complex number.
Complex	Conjugate [get]
	The conjugate complex number.

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Detailed Description

Complex numbers.

Planar representation of complex numbers is used. A complex number is a pair of real numbers: its real and imaginary components. Real numbers of double precision are used.

Definition at line 12 of file Complex.cs.

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Constructor & Destructor Documentation

Complex	(	double	re,
		double	im
	)

Complex number from the read and imaginary parts.

Parameters:

	re	the real component.
	im	the imaginary component.

Definition at line 30 of file Complex.cs.

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Member Function Documentation

bool Equals

(

Complex

c

)

Definition at line 136 of file Complex.cs.

static Complex FromPolar	(	double	modulus,
		double	argument
	)			[static]

Complex number from polar coordinates.

Parameters:

	modulus	the absolute value (the radius).
	argument	the angle.

Returns:

the corresponding complex value.

Definition at line 42 of file Complex.cs.

static implicit operator Complex

(

int

i

)

[static]

Implicit cast from int.

Definition at line 85 of file Complex.cs.

static implicit operator Complex

(

double

r

)

[static]

Implicit cast from a double.

Definition at line 77 of file Complex.cs.

static Complex operator*	(	Complex	z,
		Complex	s
	)			[static]

Overloaded binary operator.

Definition at line 117 of file Complex.cs.

static Complex operator+	(	Complex	z,
		Complex	s
	)			[static]

Overloaded binary + operator.

Definition at line 93 of file Complex.cs.

static Complex operator-

(

Complex

z

)

[static]

Overloaded unary - operator.

Definition at line 109 of file Complex.cs.

static Complex operator-	(	Complex	z,
		Complex	s
	)			[static]

Overloaded binary - operator.

Definition at line 101 of file Complex.cs.

static Complex operator/	(	Complex	z,
		Complex	s
	)			[static]

Overloaded binary / operator.

Definition at line 125 of file Complex.cs.

override string ToString

(

)

String value of the complex number.

This method checks the sign and value of the imaginary part. Some examples:

  new Complex(1,1).ToString();   // "1 + 1i" 
  new Complex(1,-1).ToString();  // "1 - 1i" 
  new Complex(1,0).ToString();   // "1" 
  new Complex(0,1).ToString();   // "1i"
  new Complex(-1,1).ToString();  // "-1 + 1i"

Definition at line 153 of file Complex.cs.

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Property Documentation

double Argument [get]

Argument (angle) of the complex number.

Definition at line 60 of file Complex.cs.

Complex Conjugate [get]

The conjugate complex number.

The conjugate of a complex number is defined as .

Definition at line 70 of file Complex.cs.

double Im [get, set]

The imaginary part.

Definition at line 22 of file Complex.cs.

double Modulus [get]

Modulus (radius) of the complex number.

Definition at line 52 of file Complex.cs.

double Re [get, set]

The real part.

Definition at line 17 of file Complex.cs.

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

• Complex.cs