C# Class Encog.MathUtil.ComplexNumber

A complex number class. This class is based on source code by Andrew G. Bennett, Department of Mathematics Kansas State University The original version can be found here: http://www.math.ksu.edu/~bennett/jomacg/c.html

Mostra file Open project: encog/encog-silverlight-core Class Usage Examples

Public Methods

Method	Description
Arg ( ) : double	Argument of this Complex number (the angle in radians with the x-axis in polar coordinates).
ComplexNumber ( ComplexNumber other ) : System	Create a complex number from another complex number.
ComplexNumber ( double u, double v ) : System	Constructs the complex number z = u + i*v
Conj ( ) : ComplexNumber	Complex conjugate of this Complex number (the conjugate of x+iy is x-iy).
Cos ( ) : ComplexNumber	Cosine of this Complex number (doesn't change this Complex number). cos(z) = (exp(iz)+exp(-iz))/ 2.
Cosh ( ) : ComplexNumber	Hyperbolic cosine of this Complex number (doesn't change this Complex number). cosh(z) = (exp(z) + exp(-z)) / 2.
Exp ( ) : ComplexNumber	Complex exponential (doesn't change this Complex number).
Log ( ) : ComplexNumber	Principal branch of the Complex logarithm of this Complex number. (doesn't change this Complex number). The principal branch is the branch with -pi less arg les-equals pi.
Mod ( ) : double	Modulus of this Complex number (the distance from the origin in polar coordinates).
Sin ( ) : ComplexNumber	Sine of this Complex number (doesn't change this Complex number). sin(z) = (exp(iz)-exp(-iz))/(2*i).
Sinh ( ) : ComplexNumber	Hyperbolic sine of this Complex number (doesn't change this Complex number). sinh(z) = (exp(z)-exp(-z))/2.
Sqrt ( ) : ComplexNumber	Complex square root (doesn't change this complex number). Computes the principal branch of the square root, which is the value with 0 less equals arg less pi.
Tan ( ) : ComplexNumber	Tangent of this Complex number (doesn't change this Complex number).
ToString ( ) : String
operator ( ) : ComplexNumber	Addition of Complex numbers (doesn't change this Complex number). (x+iy) + (s+it) = (x+s)+i*(y+t)

Private Methods

Method	Description
Cosh ( double theta ) : double	Real cosh function (used to compute complex trig functions).
Sinh ( double theta ) : double	Real sinh function (used to compute complex trig functions).

Method Details

Arg() public method

Argument of this Complex number (the angle in radians with the x-axis in polar coordinates).

public Arg ( ) : double
return	double

ComplexNumber() public method

Create a complex number from another complex number.

public ComplexNumber ( ComplexNumber other ) : System
other	ComplexNumber	The other complex number.
return	System

ComplexNumber() public method

Constructs the complex number z = u + i*v

public ComplexNumber ( double u, double v ) : System
u	double	Real part
v	double	Imaginary part
return	System

Conj() public method

Complex conjugate of this Complex number (the conjugate of x+i*y is x-i*y).

public Conj ( ) : ComplexNumber
return	ComplexNumber

Cos() public method

Cosine of this Complex number (doesn't change this Complex number). cos(z) = (exp(i*z)+exp(-i*z))/ 2.

public Cos ( ) : ComplexNumber
return	ComplexNumber

Cosh() public method

Hyperbolic cosine of this Complex number (doesn't change this Complex number). cosh(z) = (exp(z) + exp(-z)) / 2.

public Cosh ( ) : ComplexNumber
return	ComplexNumber

Exp() public method

Complex exponential (doesn't change this Complex number).

public Exp ( ) : ComplexNumber
return	ComplexNumber

Log() public method

Principal branch of the Complex logarithm of this Complex number. (doesn't change this Complex number). The principal branch is the branch with -pi less arg les-equals pi.

public Log ( ) : ComplexNumber
return	ComplexNumber

Mod() public method

Modulus of this Complex number (the distance from the origin in polar coordinates).

public Mod ( ) : double
return	double

Sin() public method

Sine of this Complex number (doesn't change this Complex number). sin(z) = (exp(i*z)-exp(-i*z))/(2*i).

public Sin ( ) : ComplexNumber
return	ComplexNumber

Sinh() public method

Hyperbolic sine of this Complex number (doesn't change this Complex number). sinh(z) = (exp(z)-exp(-z))/2.

public Sinh ( ) : ComplexNumber
return	ComplexNumber

Sqrt() public method

Complex square root (doesn't change this complex number). Computes the principal branch of the square root, which is the value with 0 less equals arg less pi.

public Sqrt ( ) : ComplexNumber
return	ComplexNumber

Tan() public method

Tangent of this Complex number (doesn't change this Complex number).

public Tan ( ) : ComplexNumber
return	ComplexNumber

ToString() public method

public ToString ( ) : String
return	String

operator() public static method

Addition of Complex numbers (doesn't change this Complex number). (x+i*y) + (s+i*t) = (x+s)+i*(y+t)

public static operator ( ) : ComplexNumber
return	ComplexNumber