{-# LANGUAGE TypeFamilies, FlexibleContexts #-}
-----------------------------------------------------------------------------
-- |
-- Module      :  Data.Graph.Class.VertexEnumerable
-- Copyright   :  (C) 2011 Edward Kmett
-- License     :  BSD-style (see the file LICENSE)
--
-- Maintainer  :  Edward Kmett <ekmett@gmail.com>
-- Stability   :  experimental
-- Portability :  type families
--
----------------------------------------------------------------------------

module Data.Graph.Class.VertexEnumerable
  ( VertexEnumerableGraph(..)
  , module Data.Graph.Class
  ) where

import qualified Control.Monad.Trans.State.Strict as Strict
import qualified Control.Monad.Trans.State.Lazy as Lazy
import qualified Control.Monad.Trans.Writer.Strict as Strict
import qualified Control.Monad.Trans.Writer.Lazy as Lazy
import qualified Control.Monad.Trans.RWS.Strict as Strict
import qualified Control.Monad.Trans.RWS.Lazy as Lazy
import Control.Monad.Trans.Identity
import Control.Monad.Trans.Maybe
import Control.Monad.Trans.Error
import Control.Monad.Trans.Class
import Control.Monad.Trans.Reader
import Data.Monoid
import Data.Graph.Class
import Data.Functor.Identity

class Graph g => VertexEnumerableGraph g where
  -- | /O(v)/
  vertices :: g [Vertex g]

instance VertexEnumerableGraph g => VertexEnumerableGraph (Strict.StateT s g) where
  vertices = lift vertices

instance VertexEnumerableGraph g => VertexEnumerableGraph (Lazy.StateT s g) where
  vertices = lift vertices

instance (VertexEnumerableGraph g, Monoid m) => VertexEnumerableGraph (Strict.WriterT m g) where
  vertices = lift vertices

instance (VertexEnumerableGraph g, Monoid m) => VertexEnumerableGraph (Lazy.WriterT m g) where
  vertices = lift vertices

instance (VertexEnumerableGraph g, Monoid m) => VertexEnumerableGraph (Strict.RWST r m s g) where
  vertices = lift vertices
  
instance (VertexEnumerableGraph g, Monoid m) => VertexEnumerableGraph (Lazy.RWST r m s g) where
  vertices = lift vertices

instance VertexEnumerableGraph g => VertexEnumerableGraph (MaybeT g) where
  vertices = lift vertices

instance VertexEnumerableGraph g => VertexEnumerableGraph (IdentityT g) where
  vertices = lift vertices

instance (VertexEnumerableGraph g, Error e) => VertexEnumerableGraph (ErrorT e g) where
  vertices = lift vertices

instance VertexEnumerableGraph g => VertexEnumerableGraph (ReaderT m g) where
  vertices = lift vertices

instance VertexEnumerableGraph Identity where
  vertices = Identity []