Objects in SYMMETRICA

Symmetrica was written in the programming language C. The design of the routines was in a object oriented way.

In Symmetrica there is only one type of object. One component of the object is a tag identifying the specific kind of object. Using this tag the (meta-) routines (e.g. mult) switch to the specific routine (e.g. mult_permutation).

The advantage of this method is that we only have one routine for different kind of objects. So is the routine for the inversion of a matrix independent of the objects inside the matrix. We only need a routine to invert the entries.
But we have a overhead in the object to store the tag, and a overhead in runtime to switch to the specific routine. This method is simliar to virtual classes in C++.

Now a complete listing of available types of objects.

INTEGER

VECTOR of arbitray objects

BITVECTOR 0-1 vector as bit vector

PARTITION

BRUCH fraction of two arbitrary objects

PERMUTATION

SKEWPARTITION

TABLEAUX

POLYNOM polynomial with arbitrary coefficents

SCHUR Schur function with arbitrary coefficents

MATRIX of arbitray objects

HOMSYM complete symmetric function

SCHUBERT Schubert polynomial

INTEGERVECTOR VECTOR object with INTEGER objects

INTEGERMATRIX MATRIX object with INTEGER objects

SYMCHAR charcter of the symmetric group

WORD

LIST list of arbitray objects

LONGINT

(3/1/99)

BINTREE binary tree of arbitray objects

POWSYM symmetric power sum

ELMSYM elementary symmetric function

KRANZ element of wreath product of symmetric groups

FINITEFIELD element of a finite field

GROUPALGEBRA element of the group algebra of a permutation group

REIHE series

CYCLOTOMIC

MONOPOLY polynomial in one variable

SQ_RADICAL

LAURENT

BARPERM barred permutations

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sym@btm2x2.mat.uni-bayreuth.de

Objects in SYMMETRICA

AK 010399