C# Class AForge.Math.Complex

Complex number wrapper class.

The class encapsulates complex number and provides set of different operators to manipulate it, lake adding, subtractio, multiplication, etc.

Sample usage:

 // define two complex numbers Complex c1 = new Complex( 3, 9 ); Complex c2 = new Complex( 8, 3 ); // sum Complex s1 = Complex.Add( c1, c2 ); Complex s2 = c1 + c2; Complex s3 = c1 + 5; // difference Complex d1 = Complex.Subtract( c1, c2 ); Complex d2 = c1 - c2; Complex d3 = c1 - 2;

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Public Properties

Property	Type	Description
I	Complex
Im	double
One	Complex
Re	double
Zero	Complex

Public Methods

Method	Description
Add ( Complex a, Complex b ) : Complex	Adds two complex numbers.
Add ( Complex a, double s ) : Complex	Adds scalar value to a complex number.
Add ( Complex a, Complex b, Complex &result ) : void	Adds two complex numbers and puts the result into the third complex number.
Add ( Complex a, double s, Complex &result ) : void	Adds scalar value to a complex number and puts the result into another complex number.
ApproxEqual ( Complex a, Complex b ) : bool	Tests whether two complex numbers are approximately equal using default tolerance value. The default tolerance value, which is used for the test, equals to 8.8817841970012523233891E-16.
ApproxEqual ( Complex a, Complex b, double tolerance ) : bool	Tests whether two complex numbers are approximately equal given a tolerance value. The default tolerance value, which is used for the test, equals to 8.8817841970012523233891E-16.
Clone ( ) : Complex	Creates an exact copy of this Complex object.
Complex ( Complex c ) : System	Initializes a new instance of the Complex class.
Complex ( double re, double im ) : System	Initializes a new instance of the Complex class.
Cos ( Complex a ) : Complex	Calculates Cosine value of the complex number.
Divide ( Complex a, Complex b ) : Complex	Divides one complex number by another complex number.
Divide ( Complex a, double s ) : Complex	Divides a complex number by a scalar value.
Divide ( double s, Complex a ) : Complex	Divides a scalar value by a complex number.
Divide ( Complex a, Complex b, Complex &result ) : void	Divides one complex number by another complex number and puts the result in a third complex number.
Divide ( Complex a, double s, Complex &result ) : void	Divides a complex number by a scalar value and puts the result into another complex number.
Divide ( double s, Complex a, Complex &result ) : void	Divides a scalar value by a complex number and puts the result into another complex number.
Equals ( object obj ) : bool	Returns a value indicating whether this instance is equal to the specified object.
Exp ( Complex a ) : Complex	Calculates exponent (e raised to the specified power) of a complex number.
GetHashCode ( ) : int	Returns the hashcode for this instance.
GetObjectData ( SerializationInfo info, StreamingContext context ) : void	Populates a SerializationInfo with the data needed to serialize the target object.
Log ( Complex a ) : Complex	Calculates natural (base e) logarithm of a complex number.
Multiply ( Complex a, Complex b ) : Complex	Multiplies two complex numbers.
Multiply ( Complex a, double s ) : Complex	Multiplies a complex number by a scalar value.
Multiply ( Complex a, Complex b, Complex &result ) : void	Multiplies two complex numbers and puts the result in a third complex number.
Multiply ( Complex a, double s, Complex &result ) : void	Multiplies a complex number by a scalar value and puts the result into another complex number.
Negate ( Complex a ) : Complex	Negates a complex number.
Parse ( string s ) : Complex	Converts the specified string to its Complex equivalent.
Sin ( Complex a ) : Complex	Calculates Sine value of the complex number.
Sqrt ( Complex a ) : Complex	Calculates square root of a complex number.
Subtract ( Complex a, Complex b ) : Complex	Subtracts one complex number from another.
Subtract ( Complex a, double s ) : Complex	Subtracts a scalar from a complex number.
Subtract ( double s, Complex a ) : Complex	Subtracts a complex number from a scalar value.
Subtract ( Complex a, Complex b, Complex &result ) : void	Subtracts one complex number from another and puts the result in the third complex number.
Subtract ( Complex a, double s, Complex &result ) : void	Subtracts a scalar value from a complex number and puts the result into another complex number.
Subtract ( double s, Complex a, Complex &result ) : void	Subtracts a complex number from a scalar value and puts the result into another complex number.
Tan ( Complex a ) : Complex	Calculates Tangent value of the complex number.
ToString ( ) : string	Returns a string representation of this object.
TryParse ( string s, Complex &result ) : bool	Try to convert the specified string to its Complex equivalent.
operator ( ) : Complex	Negates the complex number.
operator ( ) : bool	Tests whether two specified complex numbers are equal.

Private Methods

Method	Description
ICloneable ( ) : object	Creates an exact copy of this Complex object.

Method Details

Add() public static method

Adds two complex numbers.

public static Add ( Complex a, Complex b ) : Complex
a	Complex	A instance.
b	Complex	A instance.
return	Complex

Add() public static method

Adds scalar value to a complex number.

public static Add ( Complex a, double s ) : Complex
a	Complex	A instance.
s	double	A scalar value.
return	Complex

Add() public static method

Adds two complex numbers and puts the result into the third complex number.

public static Add ( Complex a, Complex b, Complex &result ) : void
a	Complex	A instance.
b	Complex	A instance.
result	Complex	A instance to hold the result.
return	void

Add() public static method

Adds scalar value to a complex number and puts the result into another complex number.

public static Add ( Complex a, double s, Complex &result ) : void
a	Complex	A instance.
s	double	A scalar value.
result	Complex	A instance to hold the result.
return	void

ApproxEqual() public static method

Tests whether two complex numbers are approximately equal using default tolerance value.

The default tolerance value, which is used for the test, equals to 8.8817841970012523233891E-16.

public static ApproxEqual ( Complex a, Complex b ) : bool
a	Complex	A instance.
b	Complex	A instance.
return	bool

ApproxEqual() public static method

Tests whether two complex numbers are approximately equal given a tolerance value.

The default tolerance value, which is used for the test, equals to 8.8817841970012523233891E-16.

public static ApproxEqual ( Complex a, Complex b, double tolerance ) : bool
a	Complex	A instance.
b	Complex	A instance.
tolerance	double	The tolerance value used to test approximate equality.
return	bool

Clone() public method

Creates an exact copy of this Complex object.

public Clone ( ) : Complex
return	Complex

Complex() public method

Initializes a new instance of the Complex class.

public Complex ( Complex c ) : System
c	Complex	Source complex number.
return	System

Complex() public method

Initializes a new instance of the Complex class.

public Complex ( double re, double im ) : System
re	double	Real part.
im	double	Imaginary part.
return	System

Cos() public static method

Calculates Cosine value of the complex number.

public static Cos ( Complex a ) : Complex
a	Complex	A instance.
return	Complex

Divide() public static method

Divides one complex number by another complex number.

Can not divide by zero.

public static Divide ( Complex a, Complex b ) : Complex
a	Complex	A instance.
b	Complex	A instance.
return	Complex

Divide() public static method

Divides a complex number by a scalar value.

Can not divide by zero.

public static Divide ( Complex a, double s ) : Complex
a	Complex	A instance.
s	double	A scalar value.
return	Complex

Divide() public static method

Divides a scalar value by a complex number.

Can not divide by zero.

public static Divide ( double s, Complex a ) : Complex
s	double	A scalar value.
a	Complex	A instance.
return	Complex

Divide() public static method

Divides one complex number by another complex number and puts the result in a third complex number.

Can not divide by zero.

public static Divide ( Complex a, Complex b, Complex &result ) : void
a	Complex	A instance.
b	Complex	A instance.
result	Complex	A instance to hold the result.
return	void

Divide() public static method

Divides a complex number by a scalar value and puts the result into another complex number.

Can not divide by zero.

public static Divide ( Complex a, double s, Complex &result ) : void
a	Complex	A instance.
s	double	A scalar value.
result	Complex	A instance to hold the result.
return	void

Divide() public static method

Divides a scalar value by a complex number and puts the result into another complex number.

Can not divide by zero.

public static Divide ( double s, Complex a, Complex &result ) : void
s	double	A scalar value.
a	Complex	A instance.
result	Complex	A instance to hold the result.
return	void

Equals() public method

Returns a value indicating whether this instance is equal to the specified object.

public Equals ( object obj ) : bool
obj	object	An object to compare to this instance.
return	bool

Exp() public static method

Calculates exponent (e raised to the specified power) of a complex number.

public static Exp ( Complex a ) : Complex
a	Complex	A instance.
return	Complex

GetHashCode() public method

Returns the hashcode for this instance.

public GetHashCode ( ) : int
return	int

GetObjectData() public method

Populates a SerializationInfo with the data needed to serialize the target object.

public GetObjectData ( SerializationInfo info, StreamingContext context ) : void
info	System.Runtime.Serialization.SerializationInfo	The to populate with data.
context	System.Runtime.Serialization.StreamingContext	The destination (see ) for this serialization.
return	void

Log() public static method

Calculates natural (base e) logarithm of a complex number.

public static Log ( Complex a ) : Complex
a	Complex	A instance.
return	Complex

Multiply() public static method

Multiplies two complex numbers.

public static Multiply ( Complex a, Complex b ) : Complex
a	Complex	A instance.
b	Complex	A instance.
return	Complex

Multiply() public static method

Multiplies a complex number by a scalar value.

public static Multiply ( Complex a, double s ) : Complex
a	Complex	A instance.
s	double	A scalar value.
return	Complex

Multiply() public static method

Multiplies two complex numbers and puts the result in a third complex number.

public static Multiply ( Complex a, Complex b, Complex &result ) : void
a	Complex	A instance.
b	Complex	A instance.
result	Complex	A instance to hold the result.
return	void

Multiply() public static method

Multiplies a complex number by a scalar value and puts the result into another complex number.

public static Multiply ( Complex a, double s, Complex &result ) : void
a	Complex	A instance.
s	double	A scalar value.
result	Complex	A instance to hold the result.
return	void

Negate() public static method

Negates a complex number.

public static Negate ( Complex a ) : Complex
a	Complex	A instance.
return	Complex

Parse() public static method

Converts the specified string to its Complex equivalent.

String representation of the complex number is not correctly formatted.

public static Parse ( string s ) : Complex
s	string	A string representation of a complex number.
return	Complex

Sin() public static method

Calculates Sine value of the complex number.

public static Sin ( Complex a ) : Complex
a	Complex	A instance.
return	Complex

Sqrt() public static method

Calculates square root of a complex number.

public static Sqrt ( Complex a ) : Complex
a	Complex	A instance.
return	Complex

Subtract() public static method

Subtracts one complex number from another.

public static Subtract ( Complex a, Complex b ) : Complex
a	Complex	A instance to subtract from.
b	Complex	A instance to be subtracted.
return	Complex

Subtract() public static method

Subtracts a scalar from a complex number.

public static Subtract ( Complex a, double s ) : Complex
a	Complex	A instance to subtract from.
s	double	A scalar value to be subtracted.
return	Complex

Subtract() public static method

Subtracts a complex number from a scalar value.

public static Subtract ( double s, Complex a ) : Complex
s	double	A scalar value to subtract from.
a	Complex	A instance to be subtracted.
return	Complex

Subtract() public static method

Subtracts one complex number from another and puts the result in the third complex number.

public static Subtract ( Complex a, Complex b, Complex &result ) : void
a	Complex	A instance to subtract from.
b	Complex	A instance to be subtracted.
result	Complex	A instance to hold the result.
return	void

Subtract() public static method

Subtracts a scalar value from a complex number and puts the result into another complex number.

public static Subtract ( Complex a, double s, Complex &result ) : void
a	Complex	A instance to subtract from.
s	double	A scalar value to be subtracted.
result	Complex	A instance to hold the result.
return	void

Subtract() public static method

Subtracts a complex number from a scalar value and puts the result into another complex number.

public static Subtract ( double s, Complex a, Complex &result ) : void
s	double	A scalar value to subtract from.
a	Complex	A instance to be subtracted.
result	Complex	A instance to hold the result.
return	void

Tan() public static method

Calculates Tangent value of the complex number.

public static Tan ( Complex a ) : Complex
a	Complex	A instance.
return	Complex

ToString() public method

Returns a string representation of this object.

public ToString ( ) : string
return	string

TryParse() public static method

Try to convert the specified string to its Complex equivalent.

public static TryParse ( string s, Complex &result ) : bool
s	string	A string representation of a complex number.
result	Complex	instance to output the result to.
return	bool

operator() public static method

Negates the complex number.

public static operator ( ) : Complex
return	Complex

operator() public static method

Tests whether two specified complex numbers are equal.

public static operator ( ) : bool
return	bool

Property Details

I public_oe static_oe property

A double-precision complex number that represents the squere root of (-1).

public static Complex I
return	Complex

Im public_oe property

Imaginary part of the complex number.

public double Im
return	double

One public_oe static_oe property

A double-precision complex number that represents one.

public static Complex One
return	Complex

Re public_oe property

Real part of the complex number.

public double Re
return	double

Zero public_oe static_oe property

A double-precision complex number that represents zero.

public static Complex Zero
return	Complex