HUMath.Algebra
Class C

java.lang.Object
  HUMath.Algebra.C

public class C
extends java.lang.Object

komplexe Zahlen mit double-Komponenten

Version:

7.5.2003

Author:

Hubert Grassmann

Field Summary

double	x
double	y

Constructor Summary

C(double real)
This is the constructor.

C(double real, double imaginary)
This is the constructor.

Method Summary

static double	abs(C z) Betrag
static C	add(C a, C b) This is a static class method.
static C	assign(double a) Realteil besetzen, Imaginaeteil = 0
static double	bet2(C x) Quadrat des Betrags
static C	conj(C a) Konjugierte
static C	copy(C z) kopieren
static C	div(C a, C b) A static class method to divide C numbers
static C	exp(C a) exp-Reihe
static C	expC(C z) Exponentialfunktion
static C	expSeries(C z)
static C	fromPolar(C p) kartesische Darstellung
double	imaginary() An accessor method.
static C	logC(C z) Logarithmus
double	magnitude() Betrag
static void	main(java.lang.String[] a)
C	mult(C a) An instance method to multiply C numbers
static C	mult(C a, C b) multiplizieren
static C	neg(C a) negieren
static C	power(C z, int n) potenzieren
static C	read() lesen
double	real() An accessor method.
static C	rootn(C z, int n) n-te Wurzel
static C	sqrt(C a) Quadratwurzel, v.
static C	sub(C a, C b) subtrahieren
static C	toPolar(C z) Polardarstellung
java.lang.String	toString() This method converts a C to a string.
static void	write(C z) schreiben
static boolean	zero(C x) null ?
static C	zufall(double f) Zufallszahl

Methods inherited from class java.lang.Object

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

Field Detail

x

public double x

y

public double y

Constructor Detail

C

public C(double real,
         double imaginary)

This is the constructor. It initializes the x and y variables

C

public C(double real)

This is the constructor. It initializes the x and y=0 variables

Method Detail

real

public double real()

An accessor method. Returns the real part of the C number. Note that there is no setReal() method to set the real part. This means that the C class is "immutable".

imaginary

public double imaginary()

An accessor method. Returns the imaginary part of the C number

bet2

public static double bet2(C x)

Quadrat des Betrags

assign

public static C assign(double a)

Realteil besetzen, Imaginaeteil = 0

zufall

public static C zufall(double f)

Zufallszahl

zero

public static boolean zero(C x)

null ?

neg

public static C neg(C a)

negieren

toString

public java.lang.String toString()

This method converts a C to a string. This is a method of Object that we override so that C numbers can be meaningfully converted to strings, and so they can conveniently be printed out with System.out.println() and related methods

Overrides:

toString in class java.lang.Object

add

public static C add(C a,
                    C b)

This is a static class method. It takes two C numbers, adds them, and returns the result as a third number. Because it is static, there is no "current instance" or "this" object. Use it like this: C c = C.add(a, b);

sub

public static C sub(C a,
                    C b)

subtrahieren

conj

public static C conj(C a)

Konjugierte

abs

public static double abs(C z)

Betrag

magnitude

public double magnitude()

Betrag

mult

public static C mult(C a,
                     C b)

multiplizieren

div

public static C div(C a,
                    C b)

A static class method to divide C numbers

mult

public C mult(C a)

An instance method to multiply C numbers

read

public static C read()

lesen

write

public static void write(C z)

schreiben

toPolar

public static C toPolar(C z)

Polardarstellung

fromPolar

public static C fromPolar(C p)

kartesische Darstellung

rootn

public static C rootn(C z,
                      int n)

n-te Wurzel

sqrt

public static C sqrt(C a)

Quadratwurzel, v. Mangoldt / Knopp

copy

public static C copy(C z)

kopieren

power

public static C power(C z,
                      int n)

potenzieren

expSeries

public static C expSeries(C z)

exp

public static C exp(C a)

exp-Reihe

expC

public static C expC(C z)

Exponentialfunktion

logC

public static C logC(C z)

Logarithmus

main

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