jhypercomplex.numbers.clifford_algebras
Class SpacetimeAlgebra

java.lang.Object
  jhypercomplex.numbers.Hypernumber
      jhypercomplex.numbers.clifford_algebras.CliffordAlgebra
          jhypercomplex.numbers.clifford_algebras.SpacetimeAlgebra

All Implemented Interfaces:

CommonMethods

public class SpacetimeAlgebra
extends CliffordAlgebra

Field Summary

Fields inherited from class jhypercomplex.numbers.clifford_algebras.CliffordAlgebra

dim, grade_nr

Fields inherited from class jhypercomplex.numbers.Hypernumber

ARG_NUM, CIRCULAR, COMP_NUM, components, HYPERBOLIC, ZERO_PRECISSION

Constructor Summary

SpacetimeAlgebra()

SpacetimeAlgebra(SpacetimeAlgebra sta)

Method Summary

SpacetimeAlgebra	add(Hypernumber h)
static SpacetimeAlgebra	getAntiCommutator(SpacetimeAlgebra sta1, SpacetimeAlgebra sta2)
static SpacetimeAlgebra	getAssociator(SpacetimeAlgebra sta1, SpacetimeAlgebra sta2, SpacetimeAlgebra sta3)
java.lang.String[]	getBasis()
SpacetimeAlgebra	getBlades(java.lang.String blades) Projects out a given set of blades.
Hypernumber	getClone()
SpacetimeAlgebra	getClone(Hypernumber sta)
static SpacetimeAlgebra	getCommutator(SpacetimeAlgebra sta1, SpacetimeAlgebra sta2)
SpacetimeAlgebra	getEvenGrade(SpacetimeAlgebra sta)
SpacetimeAlgebra	getGrade(int grade) Projects out a given grade.
java.lang.String[][]	getMultTable()
SpacetimeAlgebra	getNewInstance()
int	getNumberOfComponents()
int	getNumberOfGrades()
static SpacetimeAlgebra	getProduct(SpacetimeAlgebra sta1, SpacetimeAlgebra sta2)
SpacetimeAlgebra	getReverted() Reverts a vector.
java.lang.String[]	getTriVectorComponents()
int	getType()
java.lang.String[]	getVectorComponents()
SpacetimeAlgebra	rightMultiplyWith(SpacetimeAlgebra sta)
void	setBivectorComponents(java.lang.String vector)
void	setBiVectorComponents(java.lang.String bivector)
void	setMultiplicationTable(java.lang.String[][] mult_table)
void	setTriVectorComponents(java.lang.String trivector)
void	setVectorComponents(java.lang.String vector)

Methods inherited from class jhypercomplex.numbers.clifford_algebras.CliffordAlgebra

compress, getBiVectorComponents, getBladeNumbers, getGrades, getGradesOccuring, getMultTableAsHtml, order, rightMultiplyWith, setBasis, setBiVectorComponentsExclusively, setCliffordComponentsOfGrade, setVectorComponentsExclusively

Methods inherited from class jhypercomplex.numbers.Hypernumber

add, applyLeibnizRule, asString, asString, calculateBCHWith, collectTerms, compressComponents, conjugate, dual, getAlternator1, getAlternator2, getAntiAssociator, getAntiCommutator, getAntiCommutatorWith, getAssociationType, getAssociationType, getAssociationTypeAsString, getAssociationTypeAsString, getAssociationTypeCommutator, getAssociationTypeCommutator, getAssociationTypeCommutatorAsString, getAssociationTypeCommutatorAsString, getAssociator, getBasisElementsAsString, getCommuAssociator, getCommutator, getCommutator, getCommutatorJacobian, getCommutatorSaglian, getCommutatorWith, getCommutatorWith, getComponent, getComponents, getComponentsAsString, getComponentsAsString, getComponentsOfGrade, getConjugate, getDiagonalProducts, getDifference, getDual, getExpressionAsList, getFirstHetztelPeresian, getFormattedMultTable, getGradedInnerProduct, getHermitianConjugate, getImaginaryPart, getInstance, getIntersection, getJacobian, getJordanAssociator, getLeftCovariantDerivative, getMultiplicativeOrder, getMultiplicativeOrder, getMultTableDiagonal, getNegated, getNextBitmap, getNormedMultiplicationTable, getNormSquared, getNormSquaredAsValue, getNumberOfClosedElements, getNumberOfClosedPairs, getNumberOfComponents, getNumberOfNonzeroComponents, getNumericalInverse, getOuterProduct, getProduct, getProductWithScalar, getPseudoScalarComponent, getRandomClosedPair, getRandomNonClosedPair, getScalarComponent, getScalarProduct, getSecondHetztelPeresian, getSignature, getSubalgebras, getSubalgebrasAsString, getSubalgebrasSignatures, getSum, getTrace, getTraceRespDeterminant, getVectorDerivative, getVectorProduct, isAutomorphism, isClosedAlgebra, isCommutative, isComponentZero, isEqual, isLinearlyDependent, isNumerical, isNumericalityDetected, isOrthogonal, isOrthogonalTo, isZero, multiplyWithScalar, negate, resetComponents, rightMultiplyWith, rightMultiplyWith, setBasis, setComponent, setComponents, setComponents, setNumerical, setNumerical, setPseudoScalarComponent, setRandomComponents, setRandomComponents, setRandomComponents, setRandomComponentsAll, setScalarComponent, simplifyNumericalFactors, simplifyNumericalSummands, simplifyPlusMinus, square, subtract

Methods inherited from class java.lang.Object

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

Methods inherited from interface jhypercomplex.numbers.CommonMethods

isCayleyDicksonAlgebra

Constructor Detail

SpacetimeAlgebra

public SpacetimeAlgebra()

SpacetimeAlgebra

public SpacetimeAlgebra(SpacetimeAlgebra sta)

Method Detail

setVectorComponents

public void setVectorComponents(java.lang.String vector)
                         throws java.lang.Exception

Overrides:

setVectorComponents in class CliffordAlgebra

Throws:

java.lang.Exception

setBiVectorComponents

public void setBiVectorComponents(java.lang.String bivector)
                           throws java.lang.Exception

Overrides:

setBiVectorComponents in class CliffordAlgebra

Throws:

java.lang.Exception

setTriVectorComponents

public void setTriVectorComponents(java.lang.String trivector)
                            throws java.lang.Exception

Throws:

java.lang.Exception

getVectorComponents

public java.lang.String[] getVectorComponents()
                                       throws java.lang.Exception

Throws:

java.lang.Exception

setBivectorComponents

public void setBivectorComponents(java.lang.String vector)
                           throws java.lang.Exception

Throws:

java.lang.Exception

getTriVectorComponents

public java.lang.String[] getTriVectorComponents()
                                          throws java.lang.Exception

Throws:

java.lang.Exception

getReverted

public SpacetimeAlgebra getReverted()

Reverts a vector. A reversion R obeys R(A*B) = R(A)*R(B). For the components it means that the grade 2 and grade 3 summands change their sign.

Parameters:

sta - Spacetime algebra to be inverted.

Returns:

Copy of Reverted spacetime multivector.

getGrade

public SpacetimeAlgebra getGrade(int grade)

Projects out a given grade.

Specified by:

getGrade in interface CommonMethods

Overrides:

getGrade in class CliffordAlgebra

Parameters:

grade - Grade.

Returns:

Spacetime algebra multivector of given grade.

add

public SpacetimeAlgebra add(Hypernumber h)

Overrides:

add in class Hypernumber

getBlades

public SpacetimeAlgebra getBlades(java.lang.String blades)

Description copied from class: CliffordAlgebra

Projects out a given set of blades.

Overrides:

getBlades in class CliffordAlgebra

Parameters:

blades - Set of blades. The numbering is from 0 to 15, the numbers are comma separated. E.g. "1,4,6,8". The order is arbitrary.

Returns:

De Sitter multivector containing the blades specified.

getEvenGrade

public SpacetimeAlgebra getEvenGrade(SpacetimeAlgebra sta)

getProduct

public static SpacetimeAlgebra getProduct(SpacetimeAlgebra sta1,
                                          SpacetimeAlgebra sta2)
                                   throws java.lang.Exception

Throws:

java.lang.Exception

rightMultiplyWith

public SpacetimeAlgebra rightMultiplyWith(SpacetimeAlgebra sta)
                                   throws java.lang.Exception

Throws:

java.lang.Exception

getCommutator

public static SpacetimeAlgebra getCommutator(SpacetimeAlgebra sta1,
                                             SpacetimeAlgebra sta2)
                                      throws java.lang.Exception

Throws:

java.lang.Exception

getAntiCommutator

public static SpacetimeAlgebra getAntiCommutator(SpacetimeAlgebra sta1,
                                                 SpacetimeAlgebra sta2)
                                          throws java.lang.Exception

Throws:

java.lang.Exception

getAssociator

public static SpacetimeAlgebra getAssociator(SpacetimeAlgebra sta1,
                                             SpacetimeAlgebra sta2,
                                             SpacetimeAlgebra sta3)
                                      throws java.lang.Exception

Throws:

java.lang.Exception

getClone

public SpacetimeAlgebra getClone(Hypernumber sta)

Specified by:

getClone in class CliffordAlgebra

getNewInstance

public SpacetimeAlgebra getNewInstance()

Specified by:

getNewInstance in interface CommonMethods

Specified by:

getNewInstance in class CliffordAlgebra

getClone

public Hypernumber getClone()

getBasis

public java.lang.String[] getBasis()

Specified by:

getBasis in class Hypernumber

getMultTable

public java.lang.String[][] getMultTable()

getNumberOfComponents

public int getNumberOfComponents()

getType

public int getType()

setMultiplicationTable

public void setMultiplicationTable(java.lang.String[][] mult_table)

getNumberOfGrades

public int getNumberOfGrades()
                      throws java.lang.Exception

Throws:

java.lang.Exception