jhypercomplex.multiplication_tables
Class SignTable

java.lang.Object
  jhypercomplex.multiplication_tables.MultiplicationTable
      jhypercomplex.multiplication_tables.SignTable

public class SignTable
extends MultiplicationTable

Constructor Summary

SignTable()

Method Summary

java.lang.String	getBinarySignMask() The signs of the upper triangle are mapped according to: "-" --> 0 "+" --> 1 and the result is concatenated.
java.lang.String[][]	getRandomSignTableAsArray(int dimension)
boolean	isNormalizedHadamardMatrix() REQUIRES: The sign matrix is assumed to be normalized.
void	setRandomSignTableAsArray(int dimension) TODO at the moment only implemented for a non-split algebra.

Methods inherited from class jhypercomplex.multiplication_tables.MultiplicationTable

getComparisonTable, getCopy, getDeterminant2, getMultTableAsArray, getMultTableAsHtml, getMultTableAsHtml, getMultTableAsHtml, getMultTableAsHtml, getMultTableListAsHtml, getMultTableStringDelimited, getMultTableStringDelimited, getNormedMultiplicationTable, getNormedMultiplicationTable, getNormedMultTableStringDelimited, getSignTable, getSignTable, getSignTableAsHtml, getSignTableAsHtml, getSignTableStringDelimited, getSize, getTableView, getUnsignedMultTableStringDelimited, getUnsignedTable, getUnsignedTable, isAntiSymmetrical, isEqualTables, isFanoPlane, swapColumns, swapRows

Methods inherited from class java.lang.Object

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

Constructor Detail

SignTable

public SignTable()

Method Detail

getBinarySignMask

public java.lang.String getBinarySignMask()
                                   throws java.lang.Exception

The signs of the upper triangle are mapped according to: "-" --> 0 "+" --> 1 and the result is concatenated. The border elements are excluded. Example: + + + + + - + - + - - + - The relevant upper triangle if + - - which is mapped to "100". (This class is intended to facilitate the comparison of different sign tables).

Parameters:

dimension -

Returns:

Throws:

java.lang.Exception

setRandomSignTableAsArray

public void setRandomSignTableAsArray(int dimension)
                               throws java.lang.Exception

TODO at the moment only implemented for a non-split algebra. A sign table with random entries is generated, obeying the constraints the that the number if of sign is "balanced". That is each row and each column contains an equal number of "+"- and "-"-signs. (I.e. the matrix is isomorphic to a Hadamard matrix). Furthermore this construction builds upon a certain signature (e.g. non-split), i.e. the diagonal of the sign matrix is fixed.

Parameters:

dimenion - Dimension of the sign matrix. Only dimensions 2^n are allowed (i,e, 1,2,4,8,16,...).

Throws:

java.lang.Exception

getRandomSignTableAsArray

public java.lang.String[][] getRandomSignTableAsArray(int dimension)
                                               throws java.lang.Exception

Throws:

java.lang.Exception

isNormalizedHadamardMatrix

public boolean isNormalizedHadamardMatrix()
                                   throws java.lang.Exception

REQUIRES: The sign matrix is assumed to be normalized. Checks if the number of "+" and "-" entries are the same for every row (except the first one).

Returns:

Throws:

java.lang.Exception