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Class Complex

Object
  Complex

public class Complex

extends Object

An implementation of complex numbers as pairs of doubles.

Author:

Mark McConnell

Field Summary

static Complex	I The constant i.
static Complex	NEG_I The constant -i.
static Complex	NEG_ONE The constant -1.
static Complex	ONE The constant 1.
static Complex	ZERO The constant 0.

Constructor Summary

Complex(double re)

Complex(double re, double im)

Complex(int re)

Method Summary

Complex	add(Complex w)
Complex	add(double real)
Complex	add(int real)
double	arg() Returns the arg, in the range -pi to pi.
Complex	conjugate()
static Complex	getRootOf1(int j, int n) Returns the jth power of the primitive nth root of unity e^(2 pi i / n).
double	Im()
static void	main(String[] args) For testing.
Complex	mult(Complex w)
Complex	mult(double real)
Complex	mult(int real)
Complex	multByConj(Complex w) Returns this times the conjugate of w.
double	norm()
String	printAsGaussianInteger() Rounds the real and imaginary parts to the nearest integer (long), then prints as if by toString().
double	Re()
long	roundToLong() Returns the real part rounded to the nearest integer.
Complex	subtract(Complex w)
Complex	subtract(double real)
Complex	subtract(int real)
String	toString()

Methods inherited from class Object

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

Field Detail

ZERO

public static final Complex ZERO

The constant 0.

ONE

public static final Complex ONE

The constant 1.

I

public static final Complex I

The constant i.

NEG_ONE

public static final Complex NEG_ONE

The constant -1.

NEG_I

public static final Complex NEG_I

The constant -i.

Constructor Detail

Complex

public Complex(double re,
               double im)

Complex

public Complex(double re)

Complex

public Complex(int re)

Method Detail

Re

public final double Re()

Im

public final double Im()

add

public Complex add(Complex w)

add

public Complex add(double real)

add

public Complex add(int real)

subtract

public Complex subtract(Complex w)

subtract

public Complex subtract(double real)

subtract

public Complex subtract(int real)

mult

public Complex mult(Complex w)

mult

public Complex mult(double real)

mult

public Complex mult(int real)

multByConj

public Complex multByConj(Complex w)

Returns this times the conjugate of w.

conjugate

public Complex conjugate()

getRootOf1

public static Complex getRootOf1(int j,
                                 int n)

Returns the jth power of the primitive nth root of unity e^(2 pi i / n).

Throws:

IllegalArgumentException - If n is less than or equal to 0.

norm

public double norm()

arg

public double arg()

Returns the arg, in the range -pi to pi.

Throws:

ArithmeticException - if this = 0.

roundToLong

public long roundToLong()

Returns the real part rounded to the nearest integer.

toString

public String toString()

printAsGaussianInteger

public String printAsGaussianInteger()

Rounds the real and imaginary parts to the nearest integer (long), then prints as if by toString().

main

public static void main(String[] args)

For testing. Give it four double arguments.