name:          semigroupoids
category:      Control, Comonads
version:       4.0.1
license:       BSD3
cabal-version: >= 1.6
license-file:  LICENSE
author:        Edward A. Kmett
maintainer:    Edward A. Kmett <ekmett@gmail.com>
stability:     provisional
homepage:      http://github.com/ekmett/semigroupoids
bug-reports:   http://github.com/ekmett/semigroupoids/issues
copyright:     Copyright (C) 2011-2013 Edward A. Kmett
build-type:    Simple
synopsis:      Semigroupoids: Category sans id
extra-source-files:
  .ghci
  .travis.yml
  .gitignore
  .vim.custom
description:
  Provides a wide array of (semi)groupoids and operations for working with them.
  .
  A 'Semigroupoid' is a 'Category' without the requirement of identity arrows for every object in the category.
  .
  A 'Category' is any 'Semigroupoid' for which the Yoneda lemma holds.
  .
  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. Applicative function composition forms a semigroupoid.
  .
  Similarly many structures are nearly a comonad, but not quite, for instance lists provide a reasonable 'extend' operation in the form of 'tails', but do not always contain a value.
  .
  Ideally the following relationships would hold:
  .
  > Traversable <---- Foldable <--- Functor ------> Alt ---------> Plus           Semigroupoid
  >      |               |            |                              |                  |
  >      v               v            v                              v                  v
  > Traversable1 <--- Foldable1     Apply --------> Applicative -> Alternative      Category
  >                                   |               |              |                  |
  >                                   v               v              v                  v
  >                                 Bind ---------> Monad -------> MonadPlus          Arrow
  >
  .
  Apply, Bind, and Extend (not shown) give rise the Static, Kleisli and Cokleisli semigroupoids respectively.
  .
  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.

source-repository head
  type: git
  location: git://github.com/ekmett/semigroupoids.git

library
  build-depends:
    base          >= 4       && < 5,
    containers    >= 0.3     && < 0.6,
    contravariant >= 0.2.0.1 && < 1,
    comonad       >= 4       && < 5,
    distributive  >= 0.2.2   && < 1,
    semigroups    >= 0.8.3.1 && < 1,
    transformers  >= 0.2     && < 0.4

  hs-source-dirs: src

  exposed-modules:
    Data.Functor.Alt
    Data.Functor.Apply
    Data.Functor.Bind
    Data.Functor.Bind.Trans
    Data.Functor.Extend
    Data.Functor.Plus
    Data.Groupoid
    Data.Isomorphism
    Data.Semifunctor
    Data.Semifunctor.Associative
    Data.Semifunctor.Braided
    Data.Semigroup.Foldable
    Data.Semigroup.Traversable
    Data.Semigroupoid
    Data.Semigroupoid.Coproduct
    Data.Semigroupoid.Dual
    Data.Semigroupoid.Ob
    Data.Semigroupoid.Product
    Data.Semigroupoid.Static
    Data.Traversable.Instances

  ghc-options: -Wall