jhypercomplex.numbers.cayley_dickson_algebras
Class Complex

java.lang.Object
  jhypercomplex.numbers.Hypernumber
      jhypercomplex.numbers.cayley_dickson_algebras.CayleyDicksonAlgebra
          jhypercomplex.numbers.cayley_dickson_algebras.Complex

All Implemented Interfaces:

CommonMethods

public class Complex
extends CayleyDicksonAlgebra

Field Summary

Fields inherited from class jhypercomplex.numbers.cayley_dickson_algebras.CayleyDicksonAlgebra

_2_N_ON, CLASSICAL, COMPLEX, OCTONION, QUATERNION, SEDENION, TRIGINTADUONION, TWISTED

Fields inherited from class jhypercomplex.numbers.Hypernumber

ARG_NUM, CIRCULAR, COMP_NUM, components, HYPERBOLIC, ZERO_PRECISSION

Constructor Summary

Complex()

Complex(Complex c)

Complex(java.lang.String components)

Method Summary

Complex	add(Complex c)
Complex	conjugate()
static void	doCayleyDicksonProcess(java.lang.String[] signature, java.lang.String[] vector_basis)
Complex	getAntiCommutatorWith(Complex c)
java.lang.String[]	getBasis()
Complex	getClone()
Complex	getCommutatorWith(Complex c)
Complex	getGrade(int grade)
static java.util.HashMap<java.lang.String,java.lang.Integer>	getGrades()
static java.lang.String[][]	getMultiplicationTable()
static java.lang.String	getMultTableAsHtml()
Hypernumber	getNewInstance()
static java.lang.String[][]	getNormedMultiplicationTable()
static java.lang.String	getNormedMultiplicationtableAsHtml()
int	getNumberOfComponents()
int	getNumberOfGrades()
static Complex	getProduct(Complex c1, Complex c2)
int	getType()
Complex	multiplyWithScalar(java.lang.String scalar) Multiplication with a scalar.
Complex	negate() Negates the hypernumber: h --> -h.
Complex	rightMultiplyWith(Complex c)
static void	setDefaultTable()
static void	setMultiplicationTable(java.lang.String[][] mult_table)

Methods inherited from class jhypercomplex.numbers.cayley_dickson_algebras.CayleyDicksonAlgebra

doCayleyDicksonDoubling, doCayleyDicksonDoubling, getLoopMultiplicationTable, isCayleyDicksonAlgebra, isLoop

Methods inherited from class jhypercomplex.numbers.Hypernumber

add, add, applyLeibnizRule, asString, asString, calculateBCHWith, collectTerms, compressComponents, 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, 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

Constructor Detail

Complex

public Complex()

Complex

public Complex(java.lang.String components)
        throws java.lang.Exception

Throws:

java.lang.Exception

Complex

public Complex(Complex c)

Method Detail

rightMultiplyWith

public Complex rightMultiplyWith(Complex c)
                          throws java.lang.Exception

Throws:

java.lang.Exception

conjugate

public Complex conjugate()
                  throws java.lang.Exception

Overrides:

conjugate in class Hypernumber

Returns:

The conjugate of the hypernumber, i.e. reverses the signs of the imaginary hypercomplex components.

Throws:

java.lang.Exception

add

public Complex add(Complex c)

multiplyWithScalar

public Complex multiplyWithScalar(java.lang.String scalar)
                           throws java.lang.Exception

Description copied from class: Hypernumber

Multiplication with a scalar.

Overrides:

multiplyWithScalar in class Hypernumber

Parameters:

scalar - Scalar.

Returns:

Hypernumber multiplied with a scalar.

Throws:

java.lang.Exception

negate

public Complex negate()
               throws java.lang.Exception

Description copied from class: Hypernumber

Negates the hypernumber: h --> -h.

Overrides:

negate in class Hypernumber

Returns:

Negated hypernumber h.

Throws:

java.lang.Exception

getAntiCommutatorWith

public Complex getAntiCommutatorWith(Complex c)
                              throws java.lang.Exception

Throws:

java.lang.Exception

getCommutatorWith

public Complex getCommutatorWith(Complex c)
                          throws java.lang.Exception

Throws:

java.lang.Exception

getClone

public Complex getClone()

getNewInstance

public Hypernumber getNewInstance()

doCayleyDicksonProcess

public static void doCayleyDicksonProcess(java.lang.String[] signature,
                                          java.lang.String[] vector_basis)
                                   throws java.lang.Exception

Throws:

java.lang.Exception

getProduct

public static Complex getProduct(Complex c1,
                                 Complex c2)
                          throws java.lang.Exception

Throws:

java.lang.Exception

getNumberOfComponents

public int getNumberOfComponents()

getBasis

public java.lang.String[] getBasis()

Specified by:

getBasis in class Hypernumber

getType

public int getType()

getMultiplicationTable

public static java.lang.String[][] getMultiplicationTable()

setMultiplicationTable

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

setDefaultTable

public static void setDefaultTable()

getMultTableAsHtml

public static java.lang.String getMultTableAsHtml()

getNormedMultiplicationTable

public static java.lang.String[][] getNormedMultiplicationTable()

getNormedMultiplicationtableAsHtml

public static java.lang.String getNormedMultiplicationtableAsHtml()

getNumberOfGrades

public int getNumberOfGrades()

getGrades

public static java.util.HashMap<java.lang.String,java.lang.Integer> getGrades()

Returns:

Array with the grades.

getGrade

public Complex getGrade(int grade)
                 throws java.lang.Exception

Throws:

java.lang.Exception