{-# LANGUAGE NoImplicitPrelude #-} -- | A DSL for describing combinatorial species and computing various -- properties. This module re-exports the most generally useful -- functionality; for more specialized functionality (for example, -- computing directly with cycle index series), see the various -- sub-modules. -- -- Note that this library makes extensive use of the numeric-prelude -- library; to use it you will want to use -XNoImplicitPrelude, and -- import NumericPrelude and PreludeBase. -- -- For a good reference (really, the only English-language -- reference!) on combinatorial species, see Bergeron, Labelle, and -- Leroux, \"Combinatorial Species and Tree-Like Structures\", -- Vol. 67 of the Encyclopedia of Mathematics and its Applications, -- Gian-Carlo Rota, ed., Cambridge University Press, 1998. module Math.Combinatorics.Species ( -- * The combinatorial species DSL Species(..) -- ** Convenience methods , oneHole , madeOf , x, e, sets, cycles -- ** Derived operations , pointed , nonEmpty -- ** Derived species , list, lists , element, elements , octopus, octopi , partition, partitions , permutation, permutations , subset, subsets , ballot, ballots , ksubset, ksubsets -- * Computing with species , labelled , unlabelled , generate ) where import Math.Combinatorics.Species.Class import Math.Combinatorics.Species.Labelled import Math.Combinatorics.Species.Unlabelled import Math.Combinatorics.Species.Generate