C# Класс 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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Открытые свойства

Свойство	Тип	Описание
I	Complex
Im	double
One	Complex
Re	double
Zero	Complex

Открытые методы

Метод	Описание
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.

Приватные методы

Метод	Описание
ICloneable ( ) : object	Creates an exact copy of this Complex object.

Описание методов

Add() публичный статический Метод

Adds two complex numbers.

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

Add() публичный статический Метод

Adds scalar value to a complex number.

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

Add() публичный статический Метод

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.
Результат	void

Add() публичный статический Метод

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.
Результат	void

ApproxEqual() публичный статический Метод

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.
Результат	bool

ApproxEqual() публичный статический Метод

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.
Результат	bool

Clone() публичный Метод

Creates an exact copy of this Complex object.

public Clone ( ) : Complex
Результат	Complex

Complex() публичный Метод

Initializes a new instance of the Complex class.

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

Complex() публичный Метод

Initializes a new instance of the Complex class.

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

Cos() публичный статический Метод

Calculates Cosine value of the complex number.

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

Divide() публичный статический Метод

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.
Результат	Complex

Divide() публичный статический Метод

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.
Результат	Complex

Divide() публичный статический Метод

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.
Результат	Complex

Divide() публичный статический Метод

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.
Результат	void

Divide() публичный статический Метод

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.
Результат	void

Divide() публичный статический Метод

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.
Результат	void

Equals() публичный Метод

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.
Результат	bool

Exp() публичный статический Метод

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

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

GetHashCode() публичный Метод

Returns the hashcode for this instance.

public GetHashCode ( ) : int
Результат	int

GetObjectData() публичный Метод

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.
Результат	void

Log() публичный статический Метод

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

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

Multiply() публичный статический Метод

Multiplies two complex numbers.

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

Multiply() публичный статический Метод

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.
Результат	Complex

Multiply() публичный статический Метод

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.
Результат	void

Multiply() публичный статический Метод

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.
Результат	void

Negate() публичный статический Метод

Negates a complex number.

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

Parse() публичный статический Метод

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.
Результат	Complex

Sin() публичный статический Метод

Calculates Sine value of the complex number.

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

Sqrt() публичный статический Метод

Calculates square root of a complex number.

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

Subtract() публичный статический Метод

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.
Результат	Complex

Subtract() публичный статический Метод

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.
Результат	Complex

Subtract() публичный статический Метод

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.
Результат	Complex

Subtract() публичный статический Метод

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.
Результат	void

Subtract() публичный статический Метод

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.
Результат	void

Subtract() публичный статический Метод

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.
Результат	void

Tan() публичный статический Метод

Calculates Tangent value of the complex number.

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

ToString() публичный Метод

Returns a string representation of this object.

public ToString ( ) : string
Результат	string

TryParse() публичный статический Метод

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.
Результат	bool

operator() публичный статический Метод

Negates the complex number.

public static operator ( ) : Complex
Результат	Complex

operator() публичный статический Метод

Tests whether two specified complex numbers are equal.

public static operator ( ) : bool
Результат	bool

Описание свойств

I публичное статическое свойство

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

public static Complex I
Результат	Complex

Im публичное свойство

Imaginary part of the complex number.

public double Im
Результат	double

One публичное статическое свойство

A double-precision complex number that represents one.

public static Complex One
Результат	Complex

Re публичное свойство

Real part of the complex number.

public double Re
Результат	double

Zero публичное статическое свойство

A double-precision complex number that represents zero.

public static Complex Zero
Результат	Complex