{-# OPTIONS_GHC -w #-}
{-# OPTIONS -fglasgow-exts -cpp #-}
module Parser (parseProp) where

import Proposition
import qualified Data.Array as Happy_Data_Array
import qualified GHC.Exts as Happy_GHC_Exts
import Control.Applicative(Applicative(..))
import Control.Monad (ap)

-- parser produced by Happy Version 1.19.5

newtype HappyAbsSyn t4 = HappyAbsSyn HappyAny
#if __GLASGOW_HASKELL__ >= 607
type HappyAny = Happy_GHC_Exts.Any
#else
type HappyAny = forall a . a
#endif
happyIn4 :: t4 -> (HappyAbsSyn t4)
happyIn4 x = Happy_GHC_Exts.unsafeCoerce# x
{-# INLINE happyIn4 #-}
happyOut4 :: (HappyAbsSyn t4) -> t4
happyOut4 x = Happy_GHC_Exts.unsafeCoerce# x
{-# INLINE happyOut4 #-}
happyInTok :: (Token) -> (HappyAbsSyn t4)
happyInTok x = Happy_GHC_Exts.unsafeCoerce# x
{-# INLINE happyInTok #-}
happyOutTok :: (HappyAbsSyn t4) -> (Token)
happyOutTok x = Happy_GHC_Exts.unsafeCoerce# x
{-# INLINE happyOutTok #-}


happyActOffsets :: HappyAddr
happyActOffsets = HappyA# "\x01\x00\xfe\xff\x01\x00\x08\x00\x00\x00\x00\x00\x00\x00\x01\x00\x00\x00\x01\x00\x01\x00\x01\x00\x01\x00\x01\x00\x11\x00\x00\x00\x19\x00\x1f\x00\x1f\x00\x02\x00\xfd\xff\x00\x00"#

happyGotoOffsets :: HappyAddr
happyGotoOffsets = HappyA# "\x27\x00\x00\x00\x21\x00\x00\x00\x00\x00\x00\x00\x00\x00\x1b\x00\x00\x00\x13\x00\x12\x00\x10\x00\x0a\x00\x05\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"#

happyDefActions :: HappyAddr
happyDefActions = HappyA# "\x00\x00\x00\x00\x00\x00\x00\x00\xf7\xff\xf6\xff\xf5\xff\x00\x00\xfd\xff\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\xfe\xff\xf8\xff\xf9\xff\xfa\xff\xfb\xff\xfc\xff"#

happyCheck :: HappyAddr
happyCheck = HappyA# "\xff\xff\x04\x00\x01\x00\x02\x00\x03\x00\x00\x00\x04\x00\x05\x00\x0a\x00\x08\x00\x00\x00\x0a\x00\x04\x00\x05\x00\x06\x00\x07\x00\x00\x00\x09\x00\x00\x00\x00\x00\x0c\x00\x04\x00\x05\x00\x06\x00\x07\x00\xff\xff\x09\x00\x00\x00\x0b\x00\x04\x00\x05\x00\x06\x00\x07\x00\x00\x00\x09\x00\x04\x00\x05\x00\x06\x00\x07\x00\x00\x00\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff"#

happyTable :: HappyAddr
happyTable = HappyA# "\x00\x00\x0a\x00\x05\x00\x06\x00\x07\x00\x10\x00\x0a\x00\x0b\x00\x03\x00\x08\x00\x11\x00\x03\x00\x0a\x00\x0b\x00\x0c\x00\x0d\x00\x12\x00\x0e\x00\x13\x00\x14\x00\xff\xff\x0a\x00\x0b\x00\x0c\x00\x0d\x00\x00\x00\x0e\x00\x08\x00\x10\x00\x0a\x00\x0b\x00\x0c\x00\x0d\x00\x0e\x00\x0e\x00\x0a\x00\x0b\x00\x0c\x00\x0d\x00\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"#

happyReduceArr = Happy_Data_Array.array (1, 10) [
	(1 , happyReduce_1),
	(2 , happyReduce_2),
	(3 , happyReduce_3),
	(4 , happyReduce_4),
	(5 , happyReduce_5),
	(6 , happyReduce_6),
	(7 , happyReduce_7),
	(8 , happyReduce_8),
	(9 , happyReduce_9),
	(10 , happyReduce_10)
	]

happy_n_terms = 13 :: Int
happy_n_nonterms = 1 :: Int

happyReduce_1 = happySpecReduce_3  0# happyReduction_1
happyReduction_1 happy_x_3
	happy_x_2
	happy_x_1
	 =  case happyOut4 happy_x_2 of { happy_var_2 -> 
	happyIn4
		 (happy_var_2
	)}

happyReduce_2 = happySpecReduce_2  0# happyReduction_2
happyReduction_2 happy_x_2
	happy_x_1
	 =  case happyOut4 happy_x_2 of { happy_var_2 -> 
	happyIn4
		 (neg happy_var_2
	)}

happyReduce_3 = happySpecReduce_3  0# happyReduction_3
happyReduction_3 happy_x_3
	happy_x_2
	happy_x_1
	 =  case happyOut4 happy_x_1 of { happy_var_1 -> 
	case happyOut4 happy_x_3 of { happy_var_3 -> 
	happyIn4
		 ((happy_var_1 /\ happy_var_3)
	)}}

happyReduce_4 = happySpecReduce_3  0# happyReduction_4
happyReduction_4 happy_x_3
	happy_x_2
	happy_x_1
	 =  case happyOut4 happy_x_1 of { happy_var_1 -> 
	case happyOut4 happy_x_3 of { happy_var_3 -> 
	happyIn4
		 ((happy_var_1 \/ happy_var_3)
	)}}

happyReduce_5 = happySpecReduce_3  0# happyReduction_5
happyReduction_5 happy_x_3
	happy_x_2
	happy_x_1
	 =  case happyOut4 happy_x_1 of { happy_var_1 -> 
	case happyOut4 happy_x_3 of { happy_var_3 -> 
	happyIn4
		 ((happy_var_1 ==> happy_var_3)
	)}}

happyReduce_6 = happySpecReduce_3  0# happyReduction_6
happyReduction_6 happy_x_3
	happy_x_2
	happy_x_1
	 =  case happyOut4 happy_x_1 of { happy_var_1 -> 
	case happyOut4 happy_x_3 of { happy_var_3 -> 
	happyIn4
		 ((happy_var_1 <== happy_var_3)
	)}}

happyReduce_7 = happySpecReduce_3  0# happyReduction_7
happyReduction_7 happy_x_3
	happy_x_2
	happy_x_1
	 =  case happyOut4 happy_x_1 of { happy_var_1 -> 
	case happyOut4 happy_x_3 of { happy_var_3 -> 
	happyIn4
		 ((happy_var_1 <=> happy_var_3)
	)}}

happyReduce_8 = happySpecReduce_1  0# happyReduction_8
happyReduction_8 happy_x_1
	 =  happyIn4
		 (T
	)

happyReduce_9 = happySpecReduce_1  0# happyReduction_9
happyReduction_9 happy_x_1
	 =  happyIn4
		 (F
	)

happyReduce_10 = happySpecReduce_1  0# happyReduction_10
happyReduction_10 happy_x_1
	 =  case happyOutTok happy_x_1 of { (TokenVar happy_var_1) -> 
	happyIn4
		 (Atom happy_var_1
	)}

happyNewToken action sts stk [] =
	happyDoAction 12# notHappyAtAll action sts stk []

happyNewToken action sts stk (tk:tks) =
	let cont i = happyDoAction i tk action sts stk tks in
	case tk of {
	TokenT -> cont 1#;
	TokenF -> cont 2#;
	TokenVar happy_dollar_dollar -> cont 3#;
	TokenAnd -> cont 4#;
	TokenOr -> cont 5#;
	TokenImp -> cont 6#;
	TokenBImp -> cont 7#;
	TokenNot -> cont 8#;
	TokenEq -> cont 9#;
	TokenOB -> cont 10#;
	TokenCB -> cont 11#;
	_ -> happyError' (tk:tks)
	}

happyError_ 12# tk tks = happyError' tks
happyError_ _ tk tks = happyError' (tk:tks)

happyThen :: () => E a -> (a -> E b) -> E b
happyThen = (thenE)
happyReturn :: () => a -> E a
happyReturn = (returnE)
happyThen1 m k tks = (thenE) m (\a -> k a tks)
happyReturn1 :: () => a -> b -> E a
happyReturn1 = \a tks -> (returnE) a
happyError' :: () => [(Token)] -> E a
happyError' = parseError

parse tks = happySomeParser where
  happySomeParser = happyThen (happyParse 0# tks) (\x -> happyReturn (happyOut4 x))

happySeq = happyDontSeq


-- Used for error handling
data E a = Ok a | Failed String


thenE :: E a -> (a -> E b) -> E b
m `thenE` k =
   case m of
     Ok a -> k a
     Failed e -> Failed e


returnE :: a -> E a
returnE a = Ok a


failE :: String -> E a
failE err = Failed err


catchE :: E a -> (String -> E a) -> E a
catchE m k =
   case m of
      Ok a -> Ok a
      Failed e -> k e


parseError _ = failE "Parse error"


data Token =
  TokenT | TokenF | TokenAnd | TokenOr |
  TokenImp | TokenBImp | TokenNot | TokenEq |
  TokenOB | TokenCB | TokenVar String
  deriving Show

tokenize :: String -> [Token]
tokenize [] = []
tokenize ('/':'\\':cs) = TokenAnd : tokenize cs
tokenize ('&':cs) = TokenAnd : tokenize cs
tokenize ('\\':'/':cs) = TokenOr : tokenize cs
tokenize ('|':cs) = TokenOr : tokenize cs
tokenize ('<':'-':'>':cs) = TokenEq : tokenize cs
tokenize ('<':'=':'>':cs) = TokenEq : tokenize cs
tokenize ('-':'>':cs) = TokenImp : tokenize cs
tokenize ('=':'>':cs) = TokenImp : tokenize cs
tokenize ('<':'-':cs) = TokenBImp : tokenize cs
tokenize ('<':'=':cs) = TokenBImp : tokenize cs
tokenize ('-':cs) = TokenNot : tokenize cs
tokenize ('~':cs) = TokenNot : tokenize cs
tokenize ('(':cs) = TokenOB : tokenize cs
tokenize (')':cs) = TokenCB : tokenize cs
tokenize ('T':cs) = TokenT : tokenize cs
tokenize ('F':cs) = TokenF : tokenize cs
tokenize input@(c:cs)
  | isVarChar c = TokenVar var : tokenize rest
  where
    isVarChar = (`elem` "abcdefghijklmnopqrstuvwxyz1234567890")
    (var, rest) = span isVarChar input
-- just skip unrecognizable characters
tokenize (_:cs) = tokenize cs


parseProp str = case parse $ tokenize str of
  Ok p -> Right p
  Failed s -> Left s
{-# LINE 1 "templates/GenericTemplate.hs" #-}
{-# LINE 1 "templates/GenericTemplate.hs" #-}
{-# LINE 1 "<built-in>" #-}
{-# LINE 1 "<command-line>" #-}
{-# LINE 11 "<command-line>" #-}
# 1 "/usr/include/stdc-predef.h" 1 3 4

# 17 "/usr/include/stdc-predef.h" 3 4











































{-# LINE 11 "<command-line>" #-}
{-# LINE 1 "/usr/lib/ghc-8.0.2/include/ghcversion.h" #-}

















{-# LINE 11 "<command-line>" #-}
{-# LINE 1 "/tmp/ghc3409_0/ghc_2.h" #-}


























































































































































































































































































{-# LINE 11 "<command-line>" #-}
{-# LINE 1 "templates/GenericTemplate.hs" #-}
-- Id: GenericTemplate.hs,v 1.26 2005/01/14 14:47:22 simonmar Exp 

{-# LINE 13 "templates/GenericTemplate.hs" #-}





-- Do not remove this comment. Required to fix CPP parsing when using GCC and a clang-compiled alex.
#if __GLASGOW_HASKELL__ > 706
#define LT(n,m) ((Happy_GHC_Exts.tagToEnum# (n Happy_GHC_Exts.<# m)) :: Bool)
#define GTE(n,m) ((Happy_GHC_Exts.tagToEnum# (n Happy_GHC_Exts.>=# m)) :: Bool)
#define EQ(n,m) ((Happy_GHC_Exts.tagToEnum# (n Happy_GHC_Exts.==# m)) :: Bool)
#else
#define LT(n,m) (n Happy_GHC_Exts.<# m)
#define GTE(n,m) (n Happy_GHC_Exts.>=# m)
#define EQ(n,m) (n Happy_GHC_Exts.==# m)
#endif
{-# LINE 46 "templates/GenericTemplate.hs" #-}


data Happy_IntList = HappyCons Happy_GHC_Exts.Int# Happy_IntList





{-# LINE 67 "templates/GenericTemplate.hs" #-}

{-# LINE 77 "templates/GenericTemplate.hs" #-}

{-# LINE 86 "templates/GenericTemplate.hs" #-}

infixr 9 `HappyStk`
data HappyStk a = HappyStk a (HappyStk a)

-----------------------------------------------------------------------------
-- starting the parse

happyParse start_state = happyNewToken start_state notHappyAtAll notHappyAtAll

-----------------------------------------------------------------------------
-- Accepting the parse

-- If the current token is 0#, it means we've just accepted a partial
-- parse (a %partial parser).  We must ignore the saved token on the top of
-- the stack in this case.
happyAccept 0# tk st sts (_ `HappyStk` ans `HappyStk` _) =
        happyReturn1 ans
happyAccept j tk st sts (HappyStk ans _) = 
        (happyTcHack j (happyTcHack st)) (happyReturn1 ans)

-----------------------------------------------------------------------------
-- Arrays only: do the next action



happyDoAction i tk st
        = {- nothing -}


          case action of
                0#           -> {- nothing -}
                                     happyFail i tk st
                -1#          -> {- nothing -}
                                     happyAccept i tk st
                n | LT(n,(0# :: Happy_GHC_Exts.Int#)) -> {- nothing -}

                                                   (happyReduceArr Happy_Data_Array.! rule) i tk st
                                                   where rule = (Happy_GHC_Exts.I# ((Happy_GHC_Exts.negateInt# ((n Happy_GHC_Exts.+# (1# :: Happy_GHC_Exts.Int#))))))
                n                 -> {- nothing -}


                                     happyShift new_state i tk st
                                     where new_state = (n Happy_GHC_Exts.-# (1# :: Happy_GHC_Exts.Int#))
   where off    = indexShortOffAddr happyActOffsets st
         off_i  = (off Happy_GHC_Exts.+# i)
         check  = if GTE(off_i,(0# :: Happy_GHC_Exts.Int#))
                  then EQ(indexShortOffAddr happyCheck off_i, i)
                  else False
         action
          | check     = indexShortOffAddr happyTable off_i
          | otherwise = indexShortOffAddr happyDefActions st


indexShortOffAddr (HappyA# arr) off =
        Happy_GHC_Exts.narrow16Int# i
  where
        i = Happy_GHC_Exts.word2Int# (Happy_GHC_Exts.or# (Happy_GHC_Exts.uncheckedShiftL# high 8#) low)
        high = Happy_GHC_Exts.int2Word# (Happy_GHC_Exts.ord# (Happy_GHC_Exts.indexCharOffAddr# arr (off' Happy_GHC_Exts.+# 1#)))
        low  = Happy_GHC_Exts.int2Word# (Happy_GHC_Exts.ord# (Happy_GHC_Exts.indexCharOffAddr# arr off'))
        off' = off Happy_GHC_Exts.*# 2#





data HappyAddr = HappyA# Happy_GHC_Exts.Addr#




-----------------------------------------------------------------------------
-- HappyState data type (not arrays)

{-# LINE 170 "templates/GenericTemplate.hs" #-}

-----------------------------------------------------------------------------
-- Shifting a token

happyShift new_state 0# tk st sts stk@(x `HappyStk` _) =
     let i = (case Happy_GHC_Exts.unsafeCoerce# x of { (Happy_GHC_Exts.I# (i)) -> i }) in
--     trace "shifting the error token" $
     happyDoAction i tk new_state (HappyCons (st) (sts)) (stk)

happyShift new_state i tk st sts stk =
     happyNewToken new_state (HappyCons (st) (sts)) ((happyInTok (tk))`HappyStk`stk)

-- happyReduce is specialised for the common cases.

happySpecReduce_0 i fn 0# tk st sts stk
     = happyFail 0# tk st sts stk
happySpecReduce_0 nt fn j tk st@((action)) sts stk
     = happyGoto nt j tk st (HappyCons (st) (sts)) (fn `HappyStk` stk)

happySpecReduce_1 i fn 0# tk st sts stk
     = happyFail 0# tk st sts stk
happySpecReduce_1 nt fn j tk _ sts@((HappyCons (st@(action)) (_))) (v1`HappyStk`stk')
     = let r = fn v1 in
       happySeq r (happyGoto nt j tk st sts (r `HappyStk` stk'))

happySpecReduce_2 i fn 0# tk st sts stk
     = happyFail 0# tk st sts stk
happySpecReduce_2 nt fn j tk _ (HappyCons (_) (sts@((HappyCons (st@(action)) (_))))) (v1`HappyStk`v2`HappyStk`stk')
     = let r = fn v1 v2 in
       happySeq r (happyGoto nt j tk st sts (r `HappyStk` stk'))

happySpecReduce_3 i fn 0# tk st sts stk
     = happyFail 0# tk st sts stk
happySpecReduce_3 nt fn j tk _ (HappyCons (_) ((HappyCons (_) (sts@((HappyCons (st@(action)) (_))))))) (v1`HappyStk`v2`HappyStk`v3`HappyStk`stk')
     = let r = fn v1 v2 v3 in
       happySeq r (happyGoto nt j tk st sts (r `HappyStk` stk'))

happyReduce k i fn 0# tk st sts stk
     = happyFail 0# tk st sts stk
happyReduce k nt fn j tk st sts stk
     = case happyDrop (k Happy_GHC_Exts.-# (1# :: Happy_GHC_Exts.Int#)) sts of
         sts1@((HappyCons (st1@(action)) (_))) ->
                let r = fn stk in  -- it doesn't hurt to always seq here...
                happyDoSeq r (happyGoto nt j tk st1 sts1 r)

happyMonadReduce k nt fn 0# tk st sts stk
     = happyFail 0# tk st sts stk
happyMonadReduce k nt fn j tk st sts stk =
      case happyDrop k (HappyCons (st) (sts)) of
        sts1@((HappyCons (st1@(action)) (_))) ->
          let drop_stk = happyDropStk k stk in
          happyThen1 (fn stk tk) (\r -> happyGoto nt j tk st1 sts1 (r `HappyStk` drop_stk))

happyMonad2Reduce k nt fn 0# tk st sts stk
     = happyFail 0# tk st sts stk
happyMonad2Reduce k nt fn j tk st sts stk =
      case happyDrop k (HappyCons (st) (sts)) of
        sts1@((HappyCons (st1@(action)) (_))) ->
         let drop_stk = happyDropStk k stk

             off = indexShortOffAddr happyGotoOffsets st1
             off_i = (off Happy_GHC_Exts.+# nt)
             new_state = indexShortOffAddr happyTable off_i



          in
          happyThen1 (fn stk tk) (\r -> happyNewToken new_state sts1 (r `HappyStk` drop_stk))

happyDrop 0# l = l
happyDrop n (HappyCons (_) (t)) = happyDrop (n Happy_GHC_Exts.-# (1# :: Happy_GHC_Exts.Int#)) t

happyDropStk 0# l = l
happyDropStk n (x `HappyStk` xs) = happyDropStk (n Happy_GHC_Exts.-# (1#::Happy_GHC_Exts.Int#)) xs

-----------------------------------------------------------------------------
-- Moving to a new state after a reduction


happyGoto nt j tk st = 
   {- nothing -}
   happyDoAction j tk new_state
   where off = indexShortOffAddr happyGotoOffsets st
         off_i = (off Happy_GHC_Exts.+# nt)
         new_state = indexShortOffAddr happyTable off_i




-----------------------------------------------------------------------------
-- Error recovery (0# is the error token)

-- parse error if we are in recovery and we fail again
happyFail 0# tk old_st _ stk@(x `HappyStk` _) =
     let i = (case Happy_GHC_Exts.unsafeCoerce# x of { (Happy_GHC_Exts.I# (i)) -> i }) in
--      trace "failing" $ 
        happyError_ i tk

{-  We don't need state discarding for our restricted implementation of
    "error".  In fact, it can cause some bogus parses, so I've disabled it
    for now --SDM

-- discard a state
happyFail  0# tk old_st (HappyCons ((action)) (sts)) 
                                                (saved_tok `HappyStk` _ `HappyStk` stk) =
--      trace ("discarding state, depth " ++ show (length stk))  $
        happyDoAction 0# tk action sts ((saved_tok`HappyStk`stk))
-}

-- Enter error recovery: generate an error token,
--                       save the old token and carry on.
happyFail  i tk (action) sts stk =
--      trace "entering error recovery" $
        happyDoAction 0# tk action sts ( (Happy_GHC_Exts.unsafeCoerce# (Happy_GHC_Exts.I# (i))) `HappyStk` stk)

-- Internal happy errors:

notHappyAtAll :: a
notHappyAtAll = error "Internal Happy error\n"

-----------------------------------------------------------------------------
-- Hack to get the typechecker to accept our action functions


happyTcHack :: Happy_GHC_Exts.Int# -> a -> a
happyTcHack x y = y
{-# INLINE happyTcHack #-}


-----------------------------------------------------------------------------
-- Seq-ing.  If the --strict flag is given, then Happy emits 
--      happySeq = happyDoSeq
-- otherwise it emits
--      happySeq = happyDontSeq

happyDoSeq, happyDontSeq :: a -> b -> b
happyDoSeq   a b = a `seq` b
happyDontSeq a b = b

-----------------------------------------------------------------------------
-- Don't inline any functions from the template.  GHC has a nasty habit
-- of deciding to inline happyGoto everywhere, which increases the size of
-- the generated parser quite a bit.


{-# NOINLINE happyDoAction #-}
{-# NOINLINE happyTable #-}
{-# NOINLINE happyCheck #-}
{-# NOINLINE happyActOffsets #-}
{-# NOINLINE happyGotoOffsets #-}
{-# NOINLINE happyDefActions #-}

{-# NOINLINE happyShift #-}
{-# NOINLINE happySpecReduce_0 #-}
{-# NOINLINE happySpecReduce_1 #-}
{-# NOINLINE happySpecReduce_2 #-}
{-# NOINLINE happySpecReduce_3 #-}
{-# NOINLINE happyReduce #-}
{-# NOINLINE happyMonadReduce #-}
{-# NOINLINE happyGoto #-}
{-# NOINLINE happyFail #-}

-- end of Happy Template.