jigl.math
Class Complex

java.lang.Object
  |
  +--java.lang.Number
        |
        +--jigl.math.Complex

All Implemented Interfaces:

Serializable

public class Complex

extends Number

Complex Number Operations. For desciptions of these operations, see Complex Functions.

See Also:

Serialized Form

Field Summary

protected float	x the real part of the Complex number
protected float	y imaginary part of the Complex number

Fields inherited from class java.lang.Number

Constructor Summary

Complex()
Sets the real and imaginary part of the complex number to zero

Complex(Complex z)
Initilizes the complex number to z

Complex(double a, double b)
Initilizes the real and imaginary part to a and b repectively

Method Summary

Complex	add(Complex z) Adds this complex number to another complex number.
static Complex	add(Complex z1, Complex z2) Adds two complex numbers
Complex	add(double a) Adds a constant to the real part of this complex number.
double	arg() Returns the phase of the complex number.Converts rectangular coordinates (x, y) to polar (r, theta).
Complex	conj() Performs the conjuction function on the complex number
Complex	cos() Returns the cosine of this complex number.
Complex	cosh() Returns the hyperbolic cosine of this complex number.
Complex	div(Complex z) Divides this complex number by z (z shouldn't be 0).
static Complex	div(Complex z1, Complex z2) Divides two complex numbers
Complex	div(double a) Divides this complex number by a constant a(a shouldn't be 0).
double	doubleValue() Returns the double value of this complex number
boolean	equals(Complex z) Compares this complex number to another Complex number
Complex	exp() Returns the result of e^(x+y*i) = e^x * e^(i*y) = e^x*(cos(y) + sin(y)).
float	floatValue() Returns the float value of this complex number
double	imag() Return the imaginary part of the imaginary number
double	imag(double a) Sets the imaginary part of the complex number and returns old value
int	intValue() Returns the integer value of this complex number
(package private) Complex	j1mult() Returns a complex number with the negative of this complex number's real part
(package private) Complex	j2mult() Returns a complex number with the negative of this complex number's real and imaginary part
(package private) Complex	j3mult() Returns a complex number with the negative of this complex number's imaginary part
Complex	log() Returns the result of ln(x+y*i) = ln(r*e^(i*theta)) = ln(r) + i*theta.
long	longValue() Returns the long value of this complex number
double	magnitude() Returns the magnitude of the complex number
Complex	mult(Complex z) Multiplies this complex number by another complex number.
static Complex	mult(Complex z1, Complex z2) Multiplies two complex numbers
Complex	mult(double a) Multiplies this complex number by a constant.
void	polar(double r, double t) Converts polarrectangular coordinates (r,t) to rectangular (x, y).
Complex	pow(double a) Returns this complex number raised to the power a complex number.
double	real() Returns the real part of the complex number
double	real(double a) Set the real part of the complex number and returns old value
Complex	sin() Returns the sine of this complex number sin(x+y*i) = sin(x)*cosh(y), i*(cos(x)*sinh(y))
Complex	sinh() Returns the hyperbolic sine of this complex number.
Complex	sqrt() Returns the square root of this complex number
Complex	sub(Complex z) Subtracts another complex number from this complex number.
static Complex	sub(Complex z1, Complex z2) Subtracts two complex numbers
Complex	sub(double a) Subtracts a constant from the real part of this complex number.
String	toString() Return the string representation of this complex number
Complex	unit() Normalizes the complex number

Methods inherited from class java.lang.Number

byteValue, shortValue

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Field Detail

x

protected float x

the real part of the Complex number

y

protected float y

imaginary part of the Complex number

Constructor Detail

Complex

public Complex()

Sets the real and imaginary part of the complex number to zero

Complex

public Complex(double a,
               double b)

Initilizes the real and imaginary part to a and b repectively

Parameters:

a - Real part of the complex number

b - the imaginary part of the complex number

Complex

public Complex(Complex z)

Initilizes the complex number to z

Method Detail

real

public double real()

Returns the real part of the complex number

real

public double real(double a)

Set the real part of the complex number and returns old value

imag

public double imag()

Return the imaginary part of the imaginary number

imag

public double imag(double a)

Sets the imaginary part of the complex number and returns old value

magnitude

public double magnitude()

Returns the magnitude of the complex number

arg

public double arg()

Returns the phase of the complex number.Converts rectangular coordinates (x, y) to polar (r, theta).

unit

public Complex unit()

Normalizes the complex number

conj

public Complex conj()

Performs the conjuction function on the complex number

polar

public void polar(double r,
                  double t)

Converts polarrectangular coordinates (r,t) to rectangular (x, y).

equals

public boolean equals(Complex z)

Compares this complex number to another Complex number

toString

public String toString()

Return the string representation of this complex number

Overrides:

toString in class Object

add

public Complex add(Complex z)

Adds this complex number to another complex number. this is modified.

Parameters:

z - Complex number to add

sub

public Complex sub(Complex z)

Subtracts another complex number from this complex number. this is modified.

Parameters:

z - Complex number to subtract

mult

public Complex mult(Complex z)

Multiplies this complex number by another complex number. this is modified.

Parameters:

z - Complex number to multiply

div

public Complex div(Complex z)

Divides this complex number by z (z shouldn't be 0). this is modified.

Parameters:

z - Complex number to divide

add

public Complex add(double a)

Adds a constant to the real part of this complex number. this is modified.

Parameters:

a - constant to add

sub

public Complex sub(double a)

Subtracts a constant from the real part of this complex number. this is modified.

Parameters:

a - constant to subtract

mult

public Complex mult(double a)

Multiplies this complex number by a constant. this is modified.

Parameters:

a - constant to multiply

div

public Complex div(double a)

Divides this complex number by a constant a(a shouldn't be 0). this is modified.

Parameters:

a - constant to divide by

sqrt

public Complex sqrt()

Returns the square root of this complex number

exp

public Complex exp()

Returns the result of e^(x+y*i) = e^x * e^(i*y) = e^x*(cos(y) + sin(y)).

log

public Complex log()

Returns the result of ln(x+y*i) = ln(r*e^(i*theta)) = ln(r) + i*theta.

pow

public Complex pow(double a)

Returns this complex number raised to the power a complex number. That is, calculates (x+y*i)^a

cosh

public Complex cosh()

Returns the hyperbolic cosine of this complex number. cosh(k) = 1/2 * (e^k + e^k).

sinh

public Complex sinh()

Returns the hyperbolic sine of this complex number. sinh(k) = 1/2 * (e^k - e^k).

j1mult

Complex j1mult()

Returns a complex number with the negative of this complex number's real part

j2mult

Complex j2mult()

Returns a complex number with the negative of this complex number's real and imaginary part

j3mult

Complex j3mult()

Returns a complex number with the negative of this complex number's imaginary part

cos

public Complex cos()

Returns the cosine of this complex number. cos(x+y*i) = cos(x)*cosh(y) - i*(sin(x)*sinh(y)).

sin

public Complex sin()

Returns the sine of this complex number sin(x+y*i) = sin(x)*cosh(y), i*(cos(x)*sinh(y))

doubleValue

public double doubleValue()

Returns the double value of this complex number

Specified by:

doubleValue in class Number

floatValue

public float floatValue()

Returns the float value of this complex number

Specified by:

floatValue in class Number

intValue

public int intValue()

Returns the integer value of this complex number

Specified by:

intValue in class Number

longValue

public long longValue()

Returns the long value of this complex number

Specified by:

longValue in class Number

add

public static Complex add(Complex z1,
                          Complex z2)

Adds two complex numbers

Parameters:

z1 - first complex number

z2 - second complex number

sub

public static Complex sub(Complex z1,
                          Complex z2)

Subtracts two complex numbers

Parameters:

z1 - first complex number

z2 - second complex number (subtracted from the first)

mult

public static Complex mult(Complex z1,
                           Complex z2)

Multiplies two complex numbers

Parameters:

z1 - first complex number

z2 - second complex number

div

public static Complex div(Complex z1,
                          Complex z2)

Divides two complex numbers

Parameters:

z1 - first complex number

z2 - second complex number