{-# LANGUAGE NoImplicitPrelude #-} {- | Copyright : (c) Henning Thielemann 2006 Maintainer : numericprelude@henning-thielemann.de Stability : provisional Portability : Routines and abstractions for permutations of Integers. *** Seems to be a candidate for Algebra directory. Algebra.PermutationGroup ? -} module MathObj.Permutation where import Data.Array(Ix) -- import NumericPrelude.Numeric (Integer) import NumericPrelude.Base {- | There are quite a few way we could represent elements of permutation groups: the images in a row, a list of the cycles, et.c. All of these differ highly in how complex various operations end up being. -} class C p where domain :: (Ix i) => p i -> (i, i) apply :: (Ix i) => p i -> i -> i inverse :: (Ix i) => p i -> p i