jhypercomplex.numbers.cayley_dickson_algebras
Class HypercomplexLattice

java.lang.Object
  jhypercomplex.numbers.cayley_dickson_algebras.HypercomplexLattice

Direct Known Subclasses:

OctonionLattice, SedenionLattice

public abstract class HypercomplexLattice
extends java.lang.Object

Field Summary

static int

CANONICAL

Constructor Summary

HypercomplexLattice(int basis_elements, int unit_elements)

Method Summary

abstract Hypernumber[]	getAllUnitElements()
java.lang.String	getAllUnitsAsString()
Hypernumber[]	getBasis()
Hypernumber[]	getElements(int from, int to)
int	getNumberOfUnitElement(Hypernumber h)
Hypernumber	getUnitElement(int nr)
boolean	isIntegralUnitElement(Hypernumber h)
boolean	isUnitElement(Hypernumber h, boolean zero_allowed)

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail

CANONICAL

public static final int CANONICAL

See Also:

Constant Field Values

Constructor Detail

HypercomplexLattice

public HypercomplexLattice(int basis_elements,
                           int unit_elements)

Method Detail

getUnitElement

public Hypernumber getUnitElement(int nr)
                           throws java.lang.Exception

Parameters:

nr - Number of the unit integral elements, counting starts with "1".

Returns:

Integral unit hypernumber.

Throws:

java.lang.Exception

getAllUnitElements

public abstract Hypernumber[] getAllUnitElements()

getBasis

public Hypernumber[] getBasis()

getAllUnitsAsString

public java.lang.String getAllUnitsAsString()

getNumberOfUnitElement

public int getNumberOfUnitElement(Hypernumber h)
                           throws java.lang.Exception

Parameters:

h - Hypernumber.

Returns:

Number of the element (1,...,UNITS): if h could be identified with one, -1: else

Throws:

java.lang.Exception

isUnitElement

public boolean isUnitElement(Hypernumber h,
                             boolean zero_allowed)
                      throws java.lang.Exception

Parameters:

h - Hypernumber.

zero_allowed - "0" is accepted to allow for zero divisors.

Returns:

'true' if the hypernumber is an integral unit element, 'false' else.

Throws:

java.lang.Exception

isIntegralUnitElement

public boolean isIntegralUnitElement(Hypernumber h)
                              throws java.lang.Exception

Parameters:

h - Hypernumber

Returns:

'true' if the hypernumber is an integral unit, 'false' else.

Throws:

java.lang.Exception

getElements

public Hypernumber[] getElements(int from,
                                 int to)
                          throws java.lang.Exception

Throws:

java.lang.Exception