Class Complex

Represents a complex number (a number with real + imaginary components).

Inheritance

System.Object

Complex

Namespace: Paramdigma.Core.LinearAlgebra

Assembly: Paramdigma.Core.dll

Syntax

public class Complex : object

Constructors

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Complex(Double, Double)

Initializes a new instance of the Complex class.

Declaration

public Complex(double real, double imaginary)

Parameters

Type	Name	Description
System.Double	real	Real component.
System.Double	imaginary	Imaginary component.

Properties

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Imaginary

Gets or sets the Imaginary component of the complex number.

Declaration

public double Imaginary { get; set; }

Property Value

Type	Description
System.Double

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Real

Gets or sets the Real component of the complex number.

Declaration

public double Real { get; set; }

Property Value

Type	Description
System.Double

Methods

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Arg()

Computes the phase angle of this complex number.

Declaration

public double Arg()

Returns

Type	Description
System.Double

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Conjugate()

Conjugates complex number (negates the imaginary component).

Declaration

public Complex Conjugate()

Returns

Type	Description
Complex

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Exp()

Exponentiates this complex number.

Declaration

public Complex Exp()

Returns

Type	Description
Complex

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Inverse()

Computes the inverse of the complex number ((a + bi)^-1).

Declaration

public Complex Inverse()

Returns

Type	Description
Complex

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Norm()

Computes the length of the complex number.

Declaration

public double Norm()

Returns

Type	Description
System.Double

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Norm2()

Computes the squared length of the complex number.

Declaration

public double Norm2()

Returns

Type	Description
System.Double

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Polar()

Computes the polar form ae^(iθ), where a is the norm and θ is the phase angle of this complex number.

Declaration

public Complex Polar()

Returns

Type	Description
Complex

Operators

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Addition(Complex, Complex)

Adds to complex numbers.

Declaration

public static Complex operator +(Complex v, Complex w)

Parameters

Type	Name	Description
Complex	v	First complex number.
Complex	w	Second complex number.

Returns

Type	Description
Complex

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Division(Complex, Complex)

Divides two complex numbers.

Declaration

public static Complex operator /(Complex v, Complex w)

Parameters

Type	Name	Description
Complex	v	Divisor.
Complex	w	Dividend.

Returns

Type	Description
Complex

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Division(Complex, Double)

Divides a complex number by a number.

Declaration

public static Complex operator /(Complex v, double s)

Parameters

Type	Name	Description
Complex	v	Divisor.
System.Double	s	Dividend.

Returns

Type	Description
Complex

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Multiply(Complex, Complex)

Multiplies to complex numbers.

Declaration

public static Complex operator *(Complex v, Complex w)

Parameters

Type	Name	Description
Complex	v	Multiplicand.
Complex	w	Multiplier.

Returns

Type	Description
Complex

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Multiply(Complex, Double)

Multiplies a complex number with a number.

Declaration

public static Complex operator *(Complex v, double s)

Parameters

Type	Name	Description
Complex	v	Multiplicand.
System.Double	s	Multiplier.

Returns

Type	Description
Complex

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Multiply(Double, Complex)

Multiplies a complex number with a number.

Declaration

public static Complex operator *(double s, Complex v)

Parameters

Type	Name	Description
System.Double	s	Multiplier.
Complex	v	Multiplicand.

Returns

Type	Description
Complex

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Subtraction(Complex, Complex)

Substracts one complex number from another.

Declaration

public static Complex operator -(Complex v, Complex w)

Parameters

Type	Name	Description
Complex	v	First complex number.
Complex	w	Second complex number.

Returns

Type	Description
Complex