Class ComplexMatrix

Static class ComplexExtensions. Defines a set of extension methods that operates mainly on multidimensional arrays and vectors of AForge.NET's data type.

Inheritance

System.Object

ComplexMatrix

Namespace: ISynergy.Framework.Mathematics

Assembly: ISynergy.Framework.Mathematics.dll

Syntax

public static class ComplexMatrix : object

Methods

View Source

Abs(Complex[])

Computes the absolute value of an array of complex numbers.

Declaration

public static Complex[] Abs(this Complex[] x)

Parameters

Type	Name	Description
Complex[]	x

Returns

Type	Description
Complex[]

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Conjugate(Complex[])

Gets the conjugate of every complex number in an array.

Declaration

public static Complex[] Conjugate(this Complex[] c)

Parameters

Type	Name	Description
Complex[]	c

Returns

Type	Description
Complex[]

View Source

Conjugate(Complex[][])

Gets the conjugate of every complex number in a matrix.

Declaration

public static Complex[][] Conjugate(this Complex[][] c)

Parameters

Type	Name	Description
Complex[][]	c

Returns

Type	Description
Complex[][]

View Source

Conjugate(Complex[,])

Gets the conjugate of every complex number in a matrix.

Declaration

public static Complex[, ] Conjugate(this Complex[, ] c)

Parameters

Type	Name	Description
Complex[,]	c

Returns

Type	Description
Complex[,]

View Source

Im(Complex[])

Returns the imaginary vector part of the complex vector c.

Declaration

public static double[] Im(this Complex[] c)

Parameters

Type	Name	Description
Complex[]	c	A vector of complex numbers.

Returns

Type	Description
System.Double[]	A vector of scalars with the imaginary part of the complex numbers.

View Source

Im(Complex[][])

Returns the imaginary matrix part of the complex matrix c.

Declaration

public static double[][] Im(this Complex[][] c)

Parameters

Type	Name	Description
Complex[][]	c	A matrix of complex numbers.

Returns

Type	Description
System.Double[][]	A matrix of scalars with the imaginary part of the complex numbers.

View Source

Im(Complex[,])

Returns the imaginary matrix part of the complex matrix c.

Declaration

public static double[, ] Im(this Complex[, ] c)

Parameters

Type	Name	Description
Complex[,]	c	A matrix of complex numbers.

Returns

Type	Description
System.Double[,]	A matrix of scalars with the imaginary part of the complex numbers.

View Source

IsEqual(Complex[], Complex[], Double)

Compares two vectors for equality, considering an acceptance threshold.

Declaration

public static bool IsEqual(this Complex[] objA, Complex[] objB, double threshold)

Parameters

Type	Name	Description
Complex[]	objA
Complex[]	objB
System.Double	threshold

Returns

Type	Description
System.Boolean

View Source

IsEqual(Complex[][], Complex[][], Double)

Compares two matrices for equality, considering an acceptance threshold.

Declaration

public static bool IsEqual(this Complex[][] objA, Complex[][] objB, double threshold)

Parameters

Type	Name	Description
Complex[][]	objA
Complex[][]	objB
System.Double	threshold

Returns

Type	Description
System.Boolean

View Source

Magnitude(Complex[])

Gets the magnitude of every complex number in an array.

Declaration

public static double[] Magnitude(this Complex[] c)

Parameters

Type	Name	Description
Complex[]	c

Returns

Type	Description
System.Double[]

View Source

Magnitude(Complex[][])

Gets the magnitude of every complex number in a matrix.

Declaration

public static double[][] Magnitude(this Complex[][] c)

Parameters

Type	Name	Description
Complex[][]	c

Returns

Type	Description
System.Double[][]

View Source

Magnitude(Complex[,])

Gets the magnitude of every complex number in a matrix.

Declaration

public static double[, ] Magnitude(this Complex[, ] c)

Parameters

Type	Name	Description
Complex[,]	c

Returns

Type	Description
System.Double[,]

View Source

Multiply(Complex[], Complex[])

Elementwise multiplication of two complex vectors.

Declaration

public static Complex[] Multiply(this Complex[] a, Complex[] b)

Parameters

Type	Name	Description
Complex[]	a
Complex[]	b

Returns

Type	Description
Complex[]

View Source

Phase(Complex[])

Gets the phase of every complex number in an array.

Declaration

public static double[] Phase(this Complex[] c)

Parameters

Type	Name	Description
Complex[]	c

Returns

Type	Description
System.Double[]

View Source

Phase(Complex[][])

Gets the phase of every complex number in a matrix.

Declaration

public static double[][] Phase(this Complex[][] c)

Parameters

Type	Name	Description
Complex[][]	c

Returns

Type	Description
System.Double[][]

View Source

Phase(Complex[,])

Gets the phase of every complex number in a matrix.

Declaration

public static double[, ] Phase(this Complex[, ] c)

Parameters

Type	Name	Description
Complex[,]	c

Returns

Type	Description
System.Double[,]

View Source

Range(Complex[])

Gets the range of the magnitude values in a complex number vector.

Declaration

public static NumericRange Range(this Complex[] array)

Parameters

Type	Name	Description
Complex[]	array	A complex number vector.

Returns

Type	Description
NumericRange	The range of magnitude values in the complex vector.

View Source

Re(Complex[])

Returns the real vector part of the complex vector c.

Declaration

public static double[] Re(this Complex[] c)

Parameters

Type	Name	Description
Complex[]	c	A vector of complex numbers.

Returns

Type	Description
System.Double[]	A vector of scalars with the real part of the complex numbers.

View Source

Re(Complex[][])

Returns the real matrix part of the complex matrix c.

Declaration

public static double[][] Re(this Complex[][] c)

Parameters

Type	Name	Description
Complex[][]	c	A matrix of complex numbers.

Returns

Type	Description
System.Double[][]	A matrix of scalars with the real part of the complex numbers.

View Source

Re(Complex[,])

Returns the real matrix part of the complex matrix c.

Declaration

public static double[, ] Re(this Complex[, ] c)

Parameters

Type	Name	Description
Complex[,]	c	A matrix of complex numbers.

Returns

Type	Description
System.Double[,]	A matrix of scalars with the real part of the complex numbers.

View Source

SquaredMagnitude(Complex)

Gets the squared magnitude of a complex number.

Declaration

public static double SquaredMagnitude(this Complex value)

Parameters

Type	Name	Description
Complex	value

Returns

Type	Description
System.Double

View Source

Sum(Complex[])

Computes the sum of an array of complex numbers.

Declaration

public static Complex Sum(this Complex[] x)

Parameters

Type	Name	Description
Complex[]	x

Returns

Type	Description
Complex

View Source

ToArray(Complex[])

Converts a complex number to a matrix of scalar values in which the first column contains the real values and the second column contains the imaginary values.

Declaration

public static double[, ] ToArray(this Complex[] c)

Parameters

Type	Name	Description
Complex[]	c	An array of complex numbers.

Returns

Type	Description
System.Double[,]

View Source

ToComplex(Double[], Double[])

Combines a vector of real and a vector of imaginary numbers to form complex numbers.

Declaration

public static Complex[] ToComplex(this double[] real, double[] imag)

Parameters

Type	Name	Description
System.Double[]	real	The real part of the complex numbers.
System.Double[]	imag	The imaginary part of the complex numbers

Returns

Type	Description
Complex[]	A vector of complex number with the given real numbers as their real components and imaginary numbers as their imaginary parts.