org.lsmp.djep.groupJep.groups

Class Quaternions

java.lang.Object

org.lsmp.djep.groupJep.groups.Group

org.lsmp.djep.groupJep.groups.Quaternions

All Implemented Interfaces:

GroupI, AbelianGroupI, RingI

public class Quaternions
extends Group
implements RingI

Possibly the Quaternions, completely untested.

Author:

Rich Morris Created on 16-May-2004

Nested Class Summary

Nested Classes

Modifier and Type	Class and Description
static class	Quaternions.Quaternion

Constructor Summary

Constructors

Constructor and Description
Quaternions()

Method Summary

Modifier and Type	Method and Description
Number	add(Number a, Number b) Get sum of the numbers
void	addStandardConstants(JEP j) adds the standard constants for this group.
boolean	equals(Number a, Number b) whether two numbers are equal
Number	getInverse(Number num) Get Inverse of a number
Number	getONE() Get multiplicative identity i.e.
Number	getZERO() Returns the identity element under +
Number	mul(Number a, Number b) Returns the product of two numbers, a*b
Number	sub(Number a, Number b) Get the difference of the numbers.
String	toString()
Number	valueOf(String s) returns number given by the string

Methods inherited from class org.lsmp.djep.groupJep.groups.Group

addStandardFunctions, getNumberFactory, isConstantPoly

Methods inherited from class java.lang.Object

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

Methods inherited from interface org.lsmp.djep.groupJep.GroupI

addStandardFunctions, getNumberFactory, isConstantPoly

Constructor Detail

Quaternions

public Quaternions()

Method Detail

getZERO

public Number getZERO()

Description copied from interface: GroupI

Returns the identity element under +

Specified by:

getZERO in interface GroupI

getONE

public Number getONE()

Description copied from interface: RingI

Get multiplicative identity i.e. 1. Strictly speaking a ring need not have a mul indentity. However most useful ones do, and they are not all integral domains.

Specified by:

getONE in interface RingI

getInverse

public Number getInverse(Number num)

Description copied from interface: GroupI

Get Inverse of a number

Specified by:

getInverse in interface GroupI

add

public Number add(Number a,
                  Number b)

Description copied from interface: GroupI

Get sum of the numbers

Specified by:

add in interface GroupI

sub

public Number sub(Number a,
                  Number b)

Description copied from interface: GroupI

Get the difference of the numbers. i.e. a + (-b)

Specified by:

sub in interface GroupI

mul

public Number mul(Number a,
                  Number b)

Description copied from interface: RingI

Returns the product of two numbers, a*b

Specified by:

mul in interface RingI

equals

public boolean equals(Number a,
                      Number b)

Description copied from interface: GroupI

whether two numbers are equal

Specified by:

equals in interface GroupI

valueOf

public Number valueOf(String s)

Description copied from interface: GroupI

returns number given by the string

Specified by:

valueOf in interface GroupI

addStandardConstants

public void addStandardConstants(JEP j)

Description copied from class: Group

adds the standard constants for this group. By default does nothing.

Specified by:

addStandardConstants in interface GroupI

Overrides:

addStandardConstants in class Group

toString

public String toString()

Overrides:

toString in class Group