{-# LANGUAGE Arrows            #-}
{-# LANGUAGE TupleSections     #-}
{-# LANGUAGE FlexibleInstances #-}
{-
Copyright (C) 2015 Martin Linnemann <theCodingMarlin@googlemail.com>

This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.

This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
GNU General Public License for more details.

You should have received a copy of the GNU General Public License
along with this program; if not, write to the Free Software
Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
-}

{- |
   Module      : Text.Pandoc.Readers.Odt.Arrows.State
   Copyright   : Copyright (C) 2015 Martin Linnemann
   License     : GNU GPL, version 2 or above

   Maintainer  : Martin Linnemann <theCodingMarlin@googlemail.com>
   Stability   : alpha
   Portability : portable

An arrow that transports a state. It is in essence a more powerful version of
the standard state monad. As it is such a simple extension, there are
other version out there that do exactly the same.
The implementation is duplicated, though, to add some useful features.
Most of these might be implemented without access to innards, but it's much
faster and easier to implement this way.
-}

module Text.Pandoc.Readers.Odt.Arrows.State where

import Prelude hiding ( foldr, foldl )

import qualified Control.Category                     as Cat
import           Control.Arrow
import           Control.Monad

import           Data.Foldable
import           Data.Monoid

import           Text.Pandoc.Readers.Odt.Arrows.Utils
import           Text.Pandoc.Readers.Odt.Generic.Fallible


newtype ArrowState state a b = ArrowState
  { runArrowState :: (state, a) -> (state, b) }

-- | Constructor
withState           :: (state -> a -> (state, b)) -> ArrowState state a b
withState            = ArrowState . uncurry

-- | Constructor
withState'          :: ((state, a) -> (state, b)) -> ArrowState state a b
withState'           = ArrowState

-- | Constructor
modifyState         :: (state      ->  state    ) -> ArrowState state a a
modifyState          = ArrowState . first

-- | Constructor
ignoringState       :: (         a ->         b ) -> ArrowState state a b
ignoringState        = ArrowState . second

-- | Constructor
fromState           :: (state      -> (state, b)) -> ArrowState state a b
fromState            = ArrowState . (.fst)

-- | Constructor
extractFromState    :: (state      ->         b ) -> ArrowState state x b
extractFromState   f = ArrowState $ \(state,_) -> (state, f state)

-- | Constructor
withUnchangedState  :: (state -> a ->         b ) -> ArrowState state a b
withUnchangedState f = ArrowState $ \(state,a) -> (state, f state a)

-- | Constructor
tryModifyState      :: (state ->  Either f state)
                    -> ArrowState state a (Either f a)
tryModifyState     f = ArrowState $ \(state,a)
                                  -> (state,).Left ||| (,Right a) $ f state

instance Cat.Category (ArrowState s) where
  id                = ArrowState id
  arrow2 . arrow1   = ArrowState $ (runArrowState arrow2).(runArrowState arrow1)

instance Arrow (ArrowState state) where
  arr               = ignoringState
  first  a          = ArrowState $ \(s,(aF,aS))
                                    -> second (,aS) $ runArrowState a (s,aF)
  second a          = ArrowState $ \(s,(aF,aS))
                                    -> second (aF,) $ runArrowState a (s,aS)

instance ArrowChoice (ArrowState state) where
  left   a          = ArrowState $ \(s,e) -> case e of
                                 Left  l -> second Left  $ runArrowState a (s,l)
                                 Right r -> (s, Right r)
  right  a          = ArrowState $ \(s,e) -> case e of
                                 Left  l -> (s, Left l)
                                 Right r -> second Right $ runArrowState a (s,r)

instance ArrowLoop (ArrowState state) where
  loop   a          = ArrowState $ \(s, x)
                            -> let (s', (x', _d)) = runArrowState a (s, (x, _d))
                               in  (s', x')

instance ArrowApply (ArrowState state) where
   app             = ArrowState $ \(s, (f,b)) -> runArrowState f (s,b)


-- | Embedding of a state arrow in a state arrow with a different state type.
switchState :: (s -> s') -> (s' -> s) -> ArrowState s' x y -> ArrowState s x y
switchState there back a = ArrowState $     first there
                                        >>> runArrowState a
                                        >>> first back

-- | Lift a state arrow to modify the state of an arrow
-- with a different state type.
liftToState :: (s -> s') -> ArrowState s' s s -> ArrowState s x x
liftToState unlift a = modifyState $     unlift &&& id
                                     >>> runArrowState a
                                     >>> snd

-- | Switches the type of the state temporarily.
-- Drops the intermediate result state, behaving like the identity arrow,
-- save for side effects in the state.
withSubState :: ArrowState s x s2 -> ArrowState s2 s s -> ArrowState s x x
withSubState unlift a = keepingTheValue (withSubState unlift a) >>^ fst

-- | Switches the type of the state temporarily.
-- Returns the resulting sub-state.
withSubState' :: ArrowState s x s' -> ArrowState s' s s -> ArrowState s x s'
withSubState' unlift a = ArrowState $     runArrowState unlift
                                      >>> switch
                                      >>> runArrowState a
                                      >>> switch
  where switch (x,y) = (y,x)

-- | Switches the type of the state temporarily.
-- Drops the intermediate result state, behaving like a fallible
-- identity arrow, save for side effects in the state.
withSubStateF  :: ArrowState s  x (Either f s')
               -> ArrowState s' s (Either f s )
               -> ArrowState s  x (Either f x )
withSubStateF  unlift a = keepingTheValue (withSubStateF' unlift a)
                          >>^ spreadChoice
                          >>^ fmap fst

-- | Switches the type of the state temporarily.
-- Returns the resulting sub-state.
withSubStateF' :: ArrowState s  x (Either f s')
               -> ArrowState s' s (Either f s )
               -> ArrowState s  x (Either f s')
withSubStateF' unlift a = ArrowState go
  where go p@(s,_) = tryRunning unlift
                                ( tryRunning a (second Right) )
                                p
          where tryRunning a' b v = case runArrowState a' v of
                                      (_ , Left  f) -> (s, Left f)
                                      (x , Right y) -> b (y,x)

-- | Fold a state arrow through something 'Foldable'. Collect the results
-- in a 'Monoid'.
-- Intermediate form of a fold between one with "only" a 'Monoid'
-- and one with any function.
foldS :: (Foldable f, Monoid m) => ArrowState s x m -> ArrowState s (f x) m
foldS a = ArrowState $ \(s,f) -> foldr a' (s,mempty) f
  where a' x (s',m) = second (m <>)  $ runArrowState a (s',x)

-- | Fold a state arrow through something 'Foldable'. Collect the results
-- in a 'Monoid'.
-- Intermediate form of a fold between one with "only" a 'Monoid'
-- and one with any function.
foldSL :: (Foldable f, Monoid m) => ArrowState s x m -> ArrowState s (f x) m
foldSL a = ArrowState $ \(s,f) -> foldl a' (s,mempty) f
  where a' (s',m) x = second (m <>)  $ runArrowState a (s',x)

-- | Fold a fallible state arrow through something 'Foldable'. Collect the
-- results in a 'Monoid'.
-- Intermediate form of a fold between one with "only" a 'Monoid'
-- and one with any function.
-- If the iteration fails, the state will be reset to the initial one.
foldS' :: (Foldable f, Monoid m)
       => ArrowState s    x  (Either e m)
       -> ArrowState s (f x) (Either e m)
foldS' a = ArrowState $ \(s,f) -> foldr (a' s) (s,Right mempty) f
  where a' s x (s',Right m) = case runArrowState a (s',x) of
                                (s'',Right m') -> (s'', Right (m <> m'))
                                (_  ,Left  e ) -> (s  , Left  e)
        a' _ _   e          = e

-- | Fold a fallible state arrow through something 'Foldable'. Collect the
-- results in a 'Monoid'.
-- Intermediate form of a fold between one with "only" a 'Monoid'
-- and one with any function.
-- If the iteration fails, the state will be reset to the initial one.
foldSL' :: (Foldable f, Monoid m)
        => ArrowState s    x  (Either e m)
        -> ArrowState s (f x) (Either e m)
foldSL' a = ArrowState $ \(s,f) -> foldl (a' s) (s,Right mempty) f
  where a' s (s',Right m) x = case runArrowState a (s',x) of
                                (s'',Right m') -> (s'', Right (m <> m'))
                                (_  ,Left  e ) -> (s  , Left  e)
        a' _    e         _ = e

-- | Fold a state arrow through something 'Foldable'. Collect the results in a
-- 'MonadPlus'.
iterateS :: (Foldable f, MonadPlus m)
         => ArrowState s    x     y
         -> ArrowState s (f x) (m y)
iterateS a = ArrowState $ \(s,f) -> foldr a' (s,mzero) f
  where a' x (s',m) = second ((mplus m).return) $ runArrowState a (s',x)

-- | Fold a state arrow through something 'Foldable'. Collect the results in a
-- 'MonadPlus'.
iterateSL :: (Foldable f, MonadPlus m)
          => ArrowState s    x     y
          -> ArrowState s (f x) (m y)
iterateSL a = ArrowState $ \(s,f) -> foldl a' (s,mzero) f
  where a' (s',m) x = second ((mplus m).return) $ runArrowState a (s',x)


-- | Fold a fallible state arrow through something 'Foldable'.
-- Collect the results in a 'MonadPlus'.
-- If the iteration fails, the state will be reset to the initial one.
iterateS' :: (Foldable f, MonadPlus m)
          => ArrowState s    x  (Either e    y )
          -> ArrowState s (f x) (Either e (m y))
iterateS' a = ArrowState $ \(s,f) -> foldr (a' s) (s,Right mzero) f
  where a' s x (s',Right m) = case runArrowState a (s',x) of
                                (s'',Right m') -> (s'',Right $ mplus m $ return m')
                                (_  ,Left  e ) -> (s  ,Left  e )
        a' _ _   e          = e

-- | Fold a fallible state arrow through something 'Foldable'.
-- Collect the results in a 'MonadPlus'.
-- If the iteration fails, the state will be reset to the initial one.
iterateSL' :: (Foldable f, MonadPlus m)
           => ArrowState s    x  (Either e    y )
           -> ArrowState s (f x) (Either e (m y))
iterateSL' a = ArrowState $ \(s,f) -> foldl (a' s) (s,Right mzero) f
  where a' s (s',Right m) x = case runArrowState a (s',x) of
                                (s'',Right m') -> (s'',Right $ mplus m $ return m')
                                (_  ,Left  e ) -> (s  ,Left  e )
        a' _     e        _ = e
