ch.randelshofer.util
Class Complex

java.lang.Object
  ch.randelshofer.util.Complex

All Implemented Interfaces:

java.lang.Cloneable

public class Complex
extends java.lang.Object
implements java.lang.Cloneable

Immutable complex number of the form x+bi.

Version:

1.0 2008-07-07 Created.

Author:

Werner Randelshofer

Constructor Summary

Complex(double x, double y)
Creates a complex number with the real part x and the imaginary part y.

Method Summary

Complex	add(Complex that) Returns a complex number whose value is (this + that).
static Complex	add(Complex a, Complex b) Returns a complex number whose value is (a + b).
double	arg() Returns the argument of this complex number (the angle in radians with the x-axis in polar coordinates).
Complex	clone() Returns a clone of this complex number.
Complex	div(Complex that) Returns a complex number whose value is (this / that).
static Complex	div(Complex a, Complex b) Returns a complex number whose value is (a / b).
boolean	equals(java.lang.Object o) Returns true of this complex number is equal to the specified complex number.
int	hashCode() Returns a hash code for this complex number.
double	img() Returns the imaginary part of the complex number.
boolean	isNaN() Returns true if this complex numer is not a number (NaN).
static void	main(java.lang.String[] args)
double	mod() Returns the modulo of this complex number.
Complex	mul(Complex that) Returns a complex number whose value is (this * that).
static Complex	mul(Complex a, Complex b) Returns a complex number whose value is (a * b).
double	real() Returns the real part of the complex number.
Complex	sqrt() Returns the principal branch of the square root of this complex number.
Complex	sub(Complex that) Returns a complex number whose value is (this - that).
static Complex	sub(Complex a, Complex b) Returns a complex number whose value is (a - b).
java.lang.String	toString() Returns a descriptive string representation of this complex number.

Methods inherited from class java.lang.Object

finalize, getClass, notify, notifyAll, wait, wait, wait

Constructor Detail

Complex

public Complex(double x,
               double y)

Creates a complex number with the real part x and the imaginary part y.

Parameters:

x - real part of the complex number

y - imaginary part of the complex number

Method Detail

real

public double real()

Returns the real part of the complex number.

Returns:

real part.

img

public double img()

Returns the imaginary part of the complex number.

Returns:

real part.

add

public Complex add(Complex that)

Returns a complex number whose value is (this + that).

Parameters:

that - A complex number.

Returns:

this + that.

add

public static Complex add(Complex a,
                          Complex b)

Returns a complex number whose value is (a + b).

Parameters:

a - A complex number.

b - A complex number.

Returns:

a + b.

sub

public Complex sub(Complex that)

Returns a complex number whose value is (this - that).

Parameters:

that - A complex number.

Returns:

this - that.

sub

public static Complex sub(Complex a,
                          Complex b)

Returns a complex number whose value is (a - b).

Parameters:

a - A complex number.

b - A complex number.

Returns:

a - b.

mul

public Complex mul(Complex that)

Returns a complex number whose value is (this * that).

Parameters:

that - A complex number.

Returns:

this * that.

mul

public static Complex mul(Complex a,
                          Complex b)

Returns a complex number whose value is (a * b).

Parameters:

a - A complex number.

b - A complex number.

Returns:

a * b.

div

public Complex div(Complex that)

Returns a complex number whose value is (this / that).

Parameters:

that - A complex number.

Returns:

this / that.

div

public static Complex div(Complex a,
                          Complex b)

Returns a complex number whose value is (a / b).

Parameters:

a - A complex number.

b - A complex number.

Returns:

a / b.

arg

public double arg()

Returns the argument of this complex number (the angle in radians with the x-axis in polar coordinates).

Returns:

atan2(y, x).

mod

public double mod()

Returns the modulo of this complex number.

Returns:

sqrt(x*x + y*y).

sqrt

public Complex sqrt()

Returns the principal branch of the square root of this complex number.

Returns:

square root.

equals

public boolean equals(java.lang.Object o)

Returns true of this complex number is equal to the specified complex number.

Overrides:

equals in class java.lang.Object

Returns:

true if equal.

hashCode

public int hashCode()

Returns a hash code for this complex number.

Overrides:

hashCode in class java.lang.Object

Returns:

hash code.

clone

public Complex clone()

Returns a clone of this complex number.

Overrides:

clone in class java.lang.Object

Returns:

a clone.

toString

public java.lang.String toString()

Returns a descriptive string representation of this complex number.

Overrides:

toString in class java.lang.Object

Returns:

a descriptive string.

isNaN

public boolean isNaN()

Returns true if this complex numer is not a number (NaN).

Returns:

true if NaN.

main

public static void main(java.lang.String[] args)