name: functor-apply category: Control, Comonads version: 0.10.5 license: BSD3 cabal-version: >= 1.2 license-file: LICENSE author: Edward A. Kmett maintainer: Edward A. Kmett stability: provisional homepage: http://comonad.com/reader/ copyright: Copyright (C) 2011 Edward A. Kmett synopsis: Haskell 98: Applicative sans pure, Monad sans return, Alternative sans empty description: Provides a wide array of semigroup based Functors. . When working with comonads you often have the @\<*\>@ portion of an @Applicative@, but not the @pure@. This was captured in Uustalu and Vene's \"Essence of Dataflow Programming\" in the form of the @ComonadZip@ class in the days before @Applicative@. Apply provides a weaker invariant, but for the comonads used for data flow programming (found in the streams package), this invariant is preserved. . Ideally the following relationships would hold: . > Traversable <---- Foldable <--- Functor ------> Alt ---------> Plus > | | | | > v v v v > Traversable1 <--- Foldable1 Apply --------> Applicative -> Alternative > | | | > v v v > Bind ---------> Monad -------> MonadPlus > > > > Bitraversable <-- Bifoldable <- Bifunctor Semigroupoid > | | | | > v v v v > Bitraversable1 <- Bifoldable1 Biapply Category > | > v > Arrow . This lets us remove many of the restrictions from various monad transformers as in many cases the binding operation or @\<*\>@ operation does not require them. . Finally, to work with these weaker structures it is beneficial to have containers that can provide stronger guarantees about their contents, so versions of 'Traversable' and 'Foldable' that can be folded with just a 'Semigroup' are added. build-type: Simple library build-depends: base >= 4 && < 4.4, transformers >= 0.2.0 && < 0.3, containers >= 0.4.0 && < 0.5, contravariant >= 0.1.2 && < 0.2, comonad >= 0.9.0 && < 1.0, semigroups >= 0.3.2 && < 0.4, bifunctors >= 0.1 && < 0.2 exposed-modules: Control.Arrow.Static Data.Bifunctor.Apply, Data.Functor.Alt, Data.Functor.Apply, Data.Functor.Bind, Data.Functor.Bind.Trans, Data.Functor.Plus, Data.Semigroup.Bifoldable, Data.Semigroup.Bitraversable Data.Semigroup.Foldable, Data.Semigroup.Traversable Data.Semigroupoid ghc-options: -Wall