Complex

java.lang.Object
- jhplot.math.Complex

All Implemented Interfaces:

Serializable, Cloneable
```
public class Complex
extends Object
implements Cloneable, Serializable
```
Complex implements a complex number and defines complex arithmetic and mathematical functions Last Updated February 27, 2001 Copyright 1997-2001

See Also:

Serialized Form

Constructor Summary

Constructors
Constructor and Description

Complex(double u, double v)
Constructs the complex number z = u + i*v

Constructors
Constructor and Description
`Complex(double u, double v)` Constructs the complex number z = u + i*v

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type	Method and Description
`double`	`arg()` Argument of this Complex number (the angle in radians with the x-axis in polar coordinates).
`Complex`	`chs()` Negative of this complex number (chs stands for change sign).
`Object`	`clone()`
`Complex`	`conj()` Complex conjugate of this Complex number (the conjugate of x+iy is x-iy).
`Complex`	`cos()` Cosine of this Complex number (doesn't change this Complex number).
`Complex`	`cosh()` Hyperbolic cosine of this Complex number (doesn't change this Complex number).
`Complex`	`div(Complex w)` Division of Complex numbers (doesn't change this Complex number).
`Complex`	`divide(double k)` Returns this complex divided by the specified factor.
`Complex`	`exp()` Complex exponential (doesn't change this Complex number).
`double`	`imag()` Imaginary part of this Complex number (the y-coordinate in rectangular coordinates).
`Complex`	`log()` Principal branch of the Complex logarithm of this Complex number.
`Complex`	`minus(Complex w)` Subtraction of Complex numbers (doesn't change this Complex number).
`Complex`	`minusReal(double w)` Subtraction from real part
`double`	`mod()` Modulus of this Complex number (the distance from the origin in polar coordinates).
`Complex`	`plus(Complex w)` Addition of Complex numbers (doesn't change this Complex number).
`double`	`real()` Real part of this Complex number (the x-coordinate in rectangular coordinates).
`Complex`	`sin()` Sine of this Complex number (doesn't change this Complex number).
`Complex`	`sinh()` Hyperbolic sine of this Complex number (doesn't change this Complex number).
`Complex`	`sqrt()` Complex square root (doesn't change this complex number).
`Complex`	`tan()` Tangent of this Complex number (doesn't change this Complex number).
`Complex`	`times(Complex w)` Complex multiplication (doesn't change this Complex number).
`Complex`	`times(double k)` Returns this complex multiplied by the specified factor.
`String`	`toString()` String representation of this Complex number.

Methods inherited from class java.lang.Object
equals, getClass, hashCode, notify, notifyAll, wait, wait, wait

- Constructor Detail
  - Complex
```
public Complex(double u,
               double v)
```
    Constructs the complex number z = u + i*v
    
    Parameters:
    
    u - Real part
    
    v - Imaginary part
- Method Detail
  - real
```
public double real()
```
    Real part of this Complex number (the x-coordinate in rectangular coordinates).
    
    Returns:
    
    Re[z] where z is this Complex number.
  - imag
```
public double imag()
```
    Imaginary part of this Complex number (the y-coordinate in rectangular coordinates).
    
    Returns:
    
    Im[z] where z is this Complex number.
  - mod
```
public double mod()
```
    Modulus of this Complex number (the distance from the origin in polar coordinates).
    
    Returns:
    
    |z| where z is this Complex number.
  - arg
```
public double arg()
```
    Argument of this Complex number (the angle in radians with the x-axis in polar coordinates).
    
    Returns:
    
    arg(z) where z is this Complex number.
  - conj
```
public Complex conj()
```
    Complex conjugate of this Complex number (the conjugate of x+i*y is x-i*y).
    
    Returns:
    
    z-bar where z is this Complex number.
  - plus
```
public Complex plus(Complex w)
```
    Addition of Complex numbers (doesn't change this Complex number).
    (x+i*y) + (s+i*t) = (x+s)+i*(y+t).
    
    Parameters:
    
    w - is the number to add.
    
    Returns:
    
    z+w where z is this Complex number.
  - minus
```
public Complex minus(Complex w)
```
    Subtraction of Complex numbers (doesn't change this Complex number).
    (x+i*y) - (s+i*t) = (x-s)+i*(y-t).
    
    Parameters:
    
    w - is the number to subtract.
    
    Returns:
    
    z-w where z is this Complex number.
  - minusReal
```
public Complex minusReal(double w)
```
    Subtraction from real part
    
    Parameters:
    
    w - real value for subtraction
  - times
```
public Complex times(Complex w)
```
    Complex multiplication (doesn't change this Complex number).
    
    Parameters:
    
    w - is the number to multiply by.
    
    Returns:
    
    z*w where z is this Complex number.
  - times
```
public Complex times(double k)
```
    Returns this complex multiplied by the specified factor.
    
    Parameters:
    
    k - the factor multiplier.
    
    Returns:
    
    this * k.
  - divide
```
public Complex divide(double k)
```
    Returns this complex divided by the specified factor.
    
    Parameters:
    
    k - the factor divisor.
    
    Returns:
    
    this / k.
  - div
```
public Complex div(Complex w)
```
    Division of Complex numbers (doesn't change this Complex number).
    (x+i*y)/(s+i*t) = ((x*s+y*t) + i*(y*s-y*t)) / (s^2+t^2)
    
    Parameters:
    
    w - is the number to divide by
    
    Returns:
    
    new Complex number z/w where z is this Complex number
  - exp
```
public Complex exp()
```
    Complex exponential (doesn't change this Complex number).
    
    Returns:
    
    exp(z) where z is this Complex number.
  - log
```
public Complex log()
```
    Principal branch of the Complex logarithm of this Complex number. (doesn't change this Complex number). The principal branch is the branch with -pi < arg <= pi.
    
    Returns:
    
    log(z) where z is this Complex number.
  - sqrt
```
public Complex sqrt()
```
    Complex square root (doesn't change this complex number). Computes the principal branch of the square root, which is the value with 0 <= arg < pi.
    
    Returns:
    
    sqrt(z) where z is this Complex number.
  - sin
```
public Complex sin()
```
    Sine of this Complex number (doesn't change this Complex number).
    sin(z) = (exp(i*z)-exp(-i*z))/(2*i).
    
    Returns:
    
    sin(z) where z is this Complex number.
  - cos
```
public Complex cos()
```
    Cosine of this Complex number (doesn't change this Complex number).
    cos(z) = (exp(i*z)+exp(-i*z))/ 2.
    
    Returns:
    
    cos(z) where z is this Complex number.
  - sinh
```
public Complex sinh()
```
    Hyperbolic sine of this Complex number (doesn't change this Complex number).
    sinh(z) = (exp(z)-exp(-z))/2.
    
    Returns:
    
    sinh(z) where z is this Complex number.
  - cosh
```
public Complex cosh()
```
    Hyperbolic cosine of this Complex number (doesn't change this Complex number).
    cosh(z) = (exp(z) + exp(-z)) / 2.
    
    Returns:
    
    cosh(z) where z is this Complex number.
  - tan
```
public Complex tan()
```
    Tangent of this Complex number (doesn't change this Complex number).
    tan(z) = sin(z)/cos(z).
    
    Returns:
    
    tan(z) where z is this Complex number.
  - chs
```
public Complex chs()
```
    Negative of this complex number (chs stands for change sign). This produces a new Complex number and doesn't change this Complex number.
    -(x+i*y) = -x-i*y.
    
    Returns:
    
    -z where z is this Complex number.
  - clone
```
public Object clone()
```
    Overrides:
    
    clone in class Object
  - toString
```
public String toString()
```
    String representation of this Complex number.
    
    Overrides:
    
    toString in class Object
    
    Returns:
    
    x+i*y, x-i*y, x, or i*y as appropriate.

Class Complex

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Constructor Detail

Complex

Method Detail

real

imag

mod

arg

conj

plus

minus

minusReal

times

times

divide

div

exp

log

sqrt

sin

cos

sinh

cosh

tan

chs

clone

toString