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scc-0.2: Test.hs

{- 
    Copyright 2008 Mario Blazevic

    This file is part of the Streaming Component Combinators (SCC) project.

    The SCC project 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 3 of the License, or (at your option) any later
    version.

    SCC 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 SCC.  If not, see
    <http://www.gnu.org/licenses/>.
-}

{-# LANGUAGE DeriveDataTypeable, FlexibleInstances, ScopedTypeVariables, PatternSignatures #-}

module Main where

import Control.Concurrent.SCC.Foundation
import Control.Concurrent.SCC.ComponentTypes
import Control.Concurrent.SCC.Components
import Control.Concurrent.SCC.Combinators hiding ((&&), (||))
import qualified Control.Concurrent.SCC.Combinators as Combinators

import Control.Monad (liftM)
import Control.Monad.Identity (Identity (Identity))
import Data.Char (ord, isLetter, isSpace, toUpper)
import Data.Dynamic (Typeable)
import Data.List (find, stripPrefix, groupBy, intersect, union, intercalate, isInfixOf, isPrefixOf, isSuffixOf, sort)
import Data.Maybe (fromJust)
import qualified Data.List as List
import qualified Data.Foldable as Foldable
import qualified Data.Sequence as Seq
import Data.Sequence (Seq, (|>), (><), ViewL (EmptyL, (:<)))
import Debug.Trace (trace)
import Prelude hiding (even, last)
import qualified Prelude
import Test.QuickCheck (Arbitrary, Property,
                        arbitrary, coarbitrary, label, choose, oneof, sized, quickCheck, trivial, variant, (==>))


sublists [] _ = []
sublists _ [] = []
sublists sublist input = case stripPrefix sublist input
                         of Just rest -> sublist ++ sublists sublist rest
                            Nothing -> sublists sublist (tail input)

main = mapM_ quickCheck tests

tests = [label "pipe" $ \(input :: [Int])-> runPipes (pipe (putList input) getList) == Just ([], input),
         label "pour" prop_pour,
         label "asis" prop_asis,
         label "suppress" prop_suppress,
         label "substitute" prop_substitute,
         label "prepend" prop_prepend,
         label "append" prop_append,
         label "everything" prop_allTrue,
         label "nothing" prop_allFalse,
         label "substring" prop_substring,
         label "group" prop_group,
         label "concatenate" prop_concatenate,
         label "concatSeparate" prop_concatSeparate,
         label "uppercase ->>" $ \s-> runPipes (pipe (putList s) (consume $ uppercase >-> liftAtomicConsumer "getList" 1 getList))
                  == Just ([], map toUpper s),
         label "uppercase <<-" $ \s-> runPipes (pipe (produce $ liftAtomicProducer "putList" 1 (putList s) >-> uppercase) getList)
                  == Just ([], map toUpper s),
         label "uppercase `join` asis" $ \s-> transducerOutput (uppercase `join` asis) s == map toUpper s ++ s,
         label "prepend >-> append" (\(s :: String) prefix suffix->
                                     transducerOutput (prepend (fromList prefix) >-> append (fromList suffix)) s
                                     == prefix ++ s ++ suffix),
         label "prepend == (`join` asis) . substitute" $
               \(s :: String) prefix-> transducerOutput (prepend (fromList prefix)) s
                                       == transducerOutput (substitute (fromList prefix) `join` asis) s,
         label "append == (asis `join`) . substitute" $
               \(s :: String) suffix-> transducerOutput (append (fromList suffix)) s
                                       == transducerOutput (asis `join` substitute (fromList suffix)) s,
         label "whitespace" $ \s-> splitterOutputs whitespace s == (filter isSpace s, filter (not . isSpace) s),
         label "ifs everything asis asis" $ \(s :: [TestEnum])-> transducerOutput (ifs everything asis asis) s == s,
         label "substring" $ \s (c :: TestEnum)-> splitterOutputs (substring [c]) s == (filter (==c) s, filter (/=c) s),
         label "ifs (substring X) uppercase asis" $
               \s (LowercaseLetter c)-> transducerOutput (ifs (substring [c]) uppercase asis) s
                                        == map (\x-> if x == c then toUpper x else x) s,
         label "count >-> toString >-> concatenate" $
               \(s :: [TestEnum])-> transducerOutput (count >-> toString >-> concatenate) s == show (length s),
         label "foreach whitespace asis (prepend \"[\" >-> append \"]\")" $
               \s-> transducerOutput (foreach whitespace asis (prepend (fromList "[") >-> append (fromList "]"))) s
                       == mapWords (("[" ++) . (++ "]")) s,
         label "foreach whitespace asis (count >-> toString >-> concatenate)" $
               \s-> transducerOutput (foreach whitespace asis (count >-> toString >-> concatenate)) s == mapWords (show . length) s,
         label "uppercase `wherever` (snot whitespace `having` substring X)" $
               \s1 s2-> not (null s1) && length s1 < length s2 ==> trivial (not (s1 `isInfixOf` s2)) $
                  transducerOutput (uppercase `wherever` (snot whitespace `having` substring s1)) s2
                  == mapWords (\w-> if s1 `isInfixOf` w then map toUpper w else w) s2,
         label "(uppercase `wherever` (snot whitespace `havingOnly` letters))" $
               \s-> transducerOutput (uppercase `wherever` (snot whitespace `havingOnly` letters)) s
                  == mapWords (\w-> if all isLetter w then map toUpper w else w) s,

         label "select $ substring" $ transducerOutput (select $ substring "o, ") "Hello, World!" == "o, ",

         label "(uppercase `wherever` (first letters))"
                  (transducerOutput (uppercase `wherever` (first letters)) "... Hello, World !" == "... HELLO, World !"
                   && transducerOutput (uppercase `wherever` (first letters)) "Hello, World !" == "HELLO, World !"),
         label "(uppercase `wherever` (prefix letters))"
                  (transducerOutput (wherever uppercase (prefix letters)) "... Hello, World !" == "... Hello, World !"
                   && transducerOutput (uppercase `wherever` (prefix letters)) "Hello, World !" == "HELLO, World !"),
         label "(uppercase `wherever` (suffix letters))"
                  (transducerOutput (uppercase `wherever` (suffix letters)) "Hello, World!" == "Hello, World!"
                   && transducerOutput (uppercase `wherever` (suffix letters)) "Hello, World" == "Hello, WORLD"),
         label "(uppercase `wherever` (last letters))"
                  (transducerOutput (uppercase `wherever` (last letters)) "Hello, World!" == "Hello, WORLD!"
                   && transducerOutput (uppercase `wherever` (last letters)) "Hello, World" == "Hello, WORLD"),

         label "(select (prefix letters))" (transducerOutput (select (prefix letters)) "Hello, World!" == "Hello"),
         label "(foreach letters (count >-> toString >-> concatenate) asis)"
                  (transducerOutput (foreach letters (count >-> toString >-> concatenate) asis) "Hola, Mundo!" == "4, 5!"),
         label "(foreach (letters `having` prefix (substring \"H\")) uppercase asis)"
                  (transducerOutput (foreach (letters `having` prefix (substring "H")) uppercase asis) "Hello, World! Hola, Mundo!"
                   == "HELLO, World! HOLA, Mundo!"),
         label "(foreach (letters `having` suffix (substring \"o\")) uppercase asis)"
                  (transducerOutput (foreach (letters `having` suffix (substring "o")) uppercase asis) "Hello, World! Hola, Mundo!"
                   == "HELLO, World! Hola, MUNDO!"),

         label "first one" $ \s-> splitterOutputs (first one) s == if null s then ("", "") else ([head s], tail s),
         label "last one" $ \s-> splitterOutputs (last one) s == if null s then ("", "") else ([List.last s], init s),
         label "prefix one" $ \s-> splitterOutputs (prefix one) s == if null s then ("", "") else ([head s], tail s),
         label "suffix one" $ \s-> splitterOutputs (suffix one) s == if null s then ("", "") else ([List.last s], init s),
         label "uptoFirst one" $ \s-> splitterOutputs (uptoFirst one) s == if null s then ("", "") else ([head s], tail s),
         label "lastAndAfter one" $ \s-> splitterOutputs (lastAndAfter one) s == if null s then ("", "")
                                                                                 else ([List.last s], init s),

         label "snot" $ prop_snot . splitterFromTrace,
         label "DeMorgan 1" $ \trace1 trace2-> prop_DeMorgan1 (splitterFromTrace trace1) (splitterFromTrace trace2),
         label "DeMorgan 2" $ \trace1 trace2-> prop_DeMorgan2 (splitterFromTrace trace1) (splitterFromTrace trace2),
         label "&&" $ \trace1 trace2-> prop_and (splitterFromTrace trace1) (splitterFromTrace trace2),
         label "||" $ \trace1 trace2-> prop_or (splitterFromTrace trace1) (splitterFromTrace trace2),
         label "even" $ prop_even . splitterFromTrace,
         label "prefix 1" $ prop_prefix_1 . splitterFromTrace,
         label "prefix 2" $ prop_prefix_2 . splitterFromTrace,
         label "suffix 1" $ prop_suffix_1 . splitterFromTrace,
         label "suffix 2" $ prop_suffix_2 . splitterFromTrace,
         label "first" $ prop_first . splitterFromTrace,
         label "last" $ prop_last . splitterFromTrace,
         label "uptoFirst" $ prop_uptoFirst . splitterFromTrace,
         label "lastAndAfter" $ prop_lastAndAfter . splitterFromTrace,
         label "followedBy prefix" $ \trace1 trace2 n-> prop_followedBy1 (splitterFromTrace trace1) (splitterFromTrace trace2) n,
         label "first followedBy" $ \trace1 trace2 n-> prop_followedBy2 (splitterFromTrace trace1) (splitterFromTrace trace2) n,
         label "substring followedBy substring 1" prop_followedBy3,
         label "substring followedBy substring 2" prop_followedBy4,
         label "substring followedBy substring 3" prop_followedBy5,
         label "... followedBy ..." prop_followedByBetween,
         label "start ... end"  $ \trace n-> prop_between1 (simpleSplitterFromTrace trace) n,
         label "start everything ... end"  $ \trace n-> prop_between2 (simpleSplitterFromTrace trace) n]


prop_pour :: [Int] -> Bool
prop_pour input = runPipes (pipeD "input" (putList input) (\source-> pipeD "output" (\sink-> pour source sink) getList))
                  == Just ([], ((), input))

prop_asis :: [Int] -> Bool
prop_asis input = transducerOutput asis input == input

prop_suppress :: [Int] -> Bool
prop_suppress input = null (transducerOutput (consumeBy suppress :: Transducer Identity Int ()) input)

prop_substitute :: [Int] -> [Maybe Int] -> Bool
prop_substitute input replacement = transducerOutput (substitute $ fromList replacement) input == replacement

prop_prepend :: [Int] -> [Int] -> Int -> Property
prop_prepend input prefix threads = threads > 0 ==>
                                    transducerOutput (usingThreads threads $ prepend $ fromList prefix) input == prefix ++ input

prop_append :: [Int] -> [Int] -> Int -> Property
prop_append input suffix threads = threads > 0 ==>
                                   transducerOutput (usingThreads threads $ append $ fromList suffix) input == input ++ suffix

prop_allTrue :: [Int] -> Bool
prop_allTrue input = splitterOutputs everything input == (input, [])

prop_allFalse :: [Int] -> Bool
prop_allFalse input = splitterOutputs nothing input == ([], input)

prop_substring :: [TestEnum] -> [TestEnum] -> Property
prop_substring input sublist = trivial (not (isInfixOf sublist input)) (fst (splitterOutputs (substring sublist) input)
                                                                        == sublists sublist input)

prop_group :: [Int] -> Bool
prop_group input = transducerOutput group input == [input]

prop_concatenate :: [[TestEnum]] -> Bool
prop_concatenate input = transducerOutput concatenate input == concat input

prop_concatSeparate :: [[TestEnum]] -> [TestEnum] -> Bool
prop_concatSeparate input separator = transducerOutput (concatSeparate separator) input == intercalate separator input

prop_snot :: Splitter Identity Int -> [Int] -> Bool
prop_snot splitter input = splitterOutputs (snot splitter) input == swap (splitterOutputs splitter input)

prop_andAssoc :: SplitterTrace -> SplitterTrace -> SplitterTrace -> [Int] -> Int -> Int -> Property
prop_andAssoc st1 st2 st3 input t1 t2
   = t1 > 0 && t2 > 0
     ==> splitterOutputs (usingThreads t1 $ s1 >& (s2 >& s3)) input == splitterOutputs (usingThreads t2 $ (s1 >& s2) >& s3) input
   where s1 = splitterFromTrace st1
         s2 = splitterFromTrace st2
         s3 = splitterFromTrace st3

prop_orAssoc :: SplitterTrace -> SplitterTrace -> SplitterTrace -> [Int] -> Int -> Int -> Property
prop_orAssoc st1 st2 st3 input t1 t2
   = t1 > 0 && t2 > 0
     ==> splitterOutputs (usingThreads t1 $ s1 >| (s2 >| s3)) input == splitterOutputs (usingThreads t2 $ (s1 >| s2) >| s3) input
   where s1 = splitterFromTrace st1
         s2 = splitterFromTrace st2
         s3 = splitterFromTrace st3

prop_DeMorgan1 :: Splitter Identity Int -> Splitter Identity Int -> [Int] -> Int -> Int -> Property
prop_DeMorgan1 s1 s2 input t1 t2
   = t1 > 0 && t2 > 0
     ==> splitterOutputs (usingThreads t1 $ snot (s1 >& s2)) input == splitterOutputs (usingThreads t2 $ snot s1 >| snot s2) input

prop_DeMorgan2 :: Splitter Identity Int -> Splitter Identity Int -> [Int] -> Int -> Int -> Property
prop_DeMorgan2 s1 s2 input t1 t2
   = t1 > 0 && t2 > 0
     ==> splitterOutputs (usingThreads t1 $ snot (s1 >| s2)) input == splitterOutputs (usingThreads t2 $ snot s1 >& snot s2) input

prop_and :: Splitter Identity Int -> Splitter Identity Int -> Int -> Bool
prop_and s1 s2 n = fst (splitterOutputs (s1 Combinators.&& s2) l)
                   == fst (splitterOutputs s1 l) `intersect` fst (splitterOutputs s2 l)
   where l = [1 .. abs n]

prop_or :: Splitter Identity Int -> Splitter Identity Int -> Int -> Bool
prop_or s1 s2 n = fst (splitterOutputs (s1 Combinators.|| s2) l)
                  == sort (fst (splitterOutputs s1 l) `union` fst (splitterOutputs s2 l))
   where l = [1 .. abs n]

prop_even :: Splitter Identity TestEnum -> [TestEnum] -> Bool
prop_even splitter input = let splitOddEven [] = ([], [])
                               splitOddEven (head:tail) = let (evens, odds) = splitOddEven tail in (head:odds, evens)
                           in fst (splitterOutputs (even splitter) input)
                              == concat (snd $ splitOddEven $ transducerOutput (foreach splitter group (consumeBy suppress)) input)

prop_prefix_1 :: Splitter Identity TestEnum -> [TestEnum] -> Bool
prop_prefix_1 splitter input = let (pfx, rest) = splitterOutputs (prefix splitter) input
                                   (true, false) = splitterOutputs splitter input
                               in pfx ++ rest == input && pfx `isPrefixOf` true

prop_prefix_2 :: Splitter Identity TestEnum -> [TestEnum] -> Bool
prop_prefix_2 splitter input = let (prefix1, rest1) = splitterOutputs (prefix splitter) input
                               in case splitterOutputChunks splitter input
                                  of (prefix2, True):rest2 -> prefix1 == prefix2 && rest1 == concat (map fst rest2)
                                     (prefix2, False):rest2 -> prefix1 == [] && rest1 == prefix2 ++ concat (map fst rest2)
                                     [] -> prefix1 ++ rest1 == []

prop_suffix_1 :: Splitter Identity TestEnum -> [TestEnum] -> Bool
prop_suffix_1 splitter input = let (sfx, rest) = splitterOutputs (suffix splitter) input
                                   (true, false) = splitterOutputs splitter input
                               in rest ++ sfx == input && sfx `isSuffixOf` true

prop_suffix_2 :: Splitter Identity TestEnum -> [TestEnum] -> Bool
prop_suffix_2 splitter input = let (suffix1, rest1) = splitterOutputs (suffix splitter) input
                               in case reverse (splitterOutputChunks splitter input)
                                  of (suffix2, True):rest2 -> suffix1 == suffix2 && rest1 == concat (map fst (reverse rest2))
                                     (suffix2, False):rest2 -> suffix1 == [] && rest1 == concat (map fst (reverse rest2)) ++ suffix2
                                     [] -> rest1 ++ suffix1 == []

prop_first :: Splitter Identity TestEnum -> [TestEnum] -> Bool
prop_first splitter input = let (first1, rest1) = splitterOutputs (first splitter) input
                            in case splitterOutputChunks splitter input
                               of (first2, True):rest2 -> first1 == first2 && rest1 == concat (map fst rest2)
                                  (prefix, False):(first2, True):rest2 -> first1 == first2
                                                                          && rest1 == prefix ++ concat (map fst rest2)
                                  (prefix, False):[] -> first1 == [] && rest1 == prefix
                                  [] -> first1 ++ rest1 == []

prop_last :: Splitter Identity TestEnum -> [TestEnum] -> Bool
prop_last splitter input = let (last1, rest1) = splitterOutputs (last splitter) input
                           in -- trace (show (last1, rest1)) $ trace (show (splitterOutputChunks splitter input)) $
                              case reverse (splitterOutputChunks splitter input)
                              of (last2, True):rest2 -> last1 == last2 && rest1 == concat (map fst (reverse rest2))
                                 (suffix, False):(last2, True):rest2 -> last1 == last2
                                                                        && rest1 == concat (map fst (reverse rest2)) ++ suffix
                                 (suffix, False):[] -> last1 == [] && rest1 == suffix
                                 [] -> last1 ++ rest1 == []

prop_uptoFirst :: Splitter Identity TestEnum -> [TestEnum] -> Bool
prop_uptoFirst splitter input = let (first1, rest1) = splitterOutputs (uptoFirst splitter) input
                                in case splitterOutputChunks splitter input
                                   of (first2, True):rest2 -> first1 == first2 && rest1 == concat (map fst rest2)
                                      (prefix, False):(first2, True):rest2 -> first1 == prefix ++ first2
                                                                              && rest1 == concat (map fst rest2)
                                      (prefix, False):[] -> first1 == [] && rest1 == prefix
                                      [] -> first1 ++ rest1 == []

prop_lastAndAfter :: Splitter Identity TestEnum -> [TestEnum] -> Bool
prop_lastAndAfter splitter input = let (last1, rest1) = splitterOutputs (lastAndAfter splitter) input
                                   in case reverse (splitterOutputChunks splitter input)
                                      of (last2, True):rest2 -> last1 == last2 && rest1 == concat (map fst (reverse rest2))
                                         (suffix, False):(last2, True):rest2 -> last1 == last2 ++ suffix
                                                                                && rest1 == concat (map fst (reverse rest2))
                                         (suffix, False):[] -> last1 == [] && rest1 == suffix
                                         [] -> last1 ++ rest1 == []

prop_followedBy1 :: Splitter Identity Int -> Splitter Identity Int -> Int -> Bool
prop_followedBy1 s1 s2 n = splitterOutputs (s1 `followedBy` s2) l == splitterOutputs (s1 `followedBy` prefix s2) l
   where l = [1 .. abs n]

prop_followedBy2 :: Splitter Identity Int -> Splitter Identity Int -> Int -> Bool
prop_followedBy2 s1 s2 n = splitterOutputs (first (s1 `followedBy` s2)) l == splitterOutputs (first s1 `followedBy` s2) l
   where l = [1 .. abs n]

prop_followedBy3 :: [TestEnum] -> [TestEnum] -> [TestEnum] -> Property
prop_followedBy3 l1 l2 l3 = trivial (not (isInfixOf l1 l3)) (fst (splitterOutputs (substring l1 `followedBy` substring l2) l3)
                                                             == sublists (l1 ++ l2) l3)

prop_followedBy4 :: [TestEnum] -> [TestEnum] -> [TestEnum] -> Property
prop_followedBy4 l1 l2 l3 = isInfixOf l1 l3
                            ==> trivial (not (isInfixOf (l1 ++ l2) l3)) (fst (splitterOutputs (substring l1
                                                                                               `followedBy` substring l2) l3)
                                                                         == sublists (l1 ++ l2) l3)

prop_followedBy5 :: Int -> Int -> Int -> Int -> Bool
prop_followedBy5 i1 i2 i3 i4 = let n1 = abs i1
                                   n2 = n1 + abs i2
                                   n3 = n2 + abs i3 + 1
                                   n4 = n3 + abs i4
                               in splitterOutputs (substring [n1 .. n2] `followedBy` substring [n2 + 1 .. n3]) [0 .. n4]
                                     == ([n1 .. n3], [0 .. n1 - 1] ++ [n3 + 1 .. n4])

prop_followedByBetween :: Int -> Int -> Int -> Int -> Bool
prop_followedByBetween i1 i2 i3 i4 = let n1 = abs i1
                                         n2 = n1 + abs i2
                                         n3 = n2 + abs i3 + 1
                                         n4 = n3 + abs i4
                                     in splitterOutputs
                                           ((substring [n1] ... substring [n2])
                                            `followedBy` (substring [n2 + 1] ... substring [n3]))
                                           [0 .. n4]
                                     
                                           == ([n1 .. n3], [0 .. n1 - 1] ++ [n3 + 1 .. n4])

prop_between1 :: Splitter Identity Int -> Int -> Bool
prop_between1 splitter n = splitterOutputs (startOf splitter ... endOf splitter) input == splitterOutputs splitter input
                           && splitterOutputs (endOf splitter ... startOf splitter) input == ([], input)
   where input = [1 .. abs n]

prop_between2 :: Splitter Identity Int -> Int -> Bool
prop_between2 splitter n = splitterOutputs (startOf everything ... endOf splitter) input == splitterOutputs (uptoFirst splitter) input
                           || null (fst $ splitterOutputs splitter input)
   where input = [1 .. abs n]

transducerOutput :: (Typeable x, Typeable y) => Transducer Identity x y -> [x] -> [y]
transducerOutput t input = case runPipes (pipeD "transducerOutput input"
                                                (putList input)
                                                (\source-> pipeD "transducerOutput output"
                                                                 (\sink-> transduce t source sink)
                                                                 getList))
                           of Identity ([], ([], output)) -> output

splitterOutputs :: Typeable x => Splitter Identity x -> [x] -> ([x], [x])
splitterOutputs s input = case runPipes (pipeD "splitterOutputs input"
                                               (putList input)
                                               (\source-> pipeD "splitterOutputs true"
                                                                (\true-> pipeD "splitterOutputs false"
                                                                               (split s source true)
                                                                               getList)
                                                                getList))
                          of Identity ([], (([], false), true)) -> (true, false)

splitterOutputChunks :: Typeable x => Splitter Identity x -> [x] -> [([x], Bool)]
splitterOutputChunks s input = transducerOutput (foreach s
                                                 (group >-> lift121Transducer "true" (\chunk-> (chunk, True)))
                                                 (group >-> lift121Transducer "false" (\chunk-> (chunk, False))))
                               input

simpleSplitterFromTrace :: (Show x, Typeable x) => SimpleSplitterTrace -> Splitter Identity x
simpleSplitterFromTrace (init, last) = splitterFromTrace (map (maybe Nothing (Just . (,) True)) init, last)

splitterFromTrace :: (Show x, Typeable x) => SplitterTrace -> Splitter Identity x
splitterFromTrace trace1 = liftAtomicSectionSplitter "splitterFromTrace" 1 $
                           \source true false->
                           let follow trace2@(head:tail) q = get source >>= maybe fail succeed
                                  where succeed x = let q' = q |> Just x
                                                    in case head
                                                       of Nothing -> follow tail q'
                                                          Just (False, b) -> (if b then put true else put false) Nothing
                                                                             >>= cond
                                                                                    (follow tail q')
                                                                                    (return $ Foldable.toList (Seq.viewl q))
                                                          Just (True, True) -> putList (Foldable.toList (Seq.viewl q')) true
                                                                               >>= whenNull (follow tail Seq.empty)
                                                          Just (True, False) -> putList (Foldable.toList (Seq.viewl q')) false
                                                                                >>= whenNull (follow tail Seq.empty)
                                        fail = if find (maybe False fst) trace2 == Just (Just (True, True))
                                               then putList (Foldable.toList (Seq.viewl q)) true
                                               else putList (Foldable.toList (Seq.viewl q)) false
                           in liftM (map fromJust) $ follow (cycle (fst trace1 ++ [Just (True, snd trace1)])) Seq.empty

swap :: (x, y) -> (y, x)
swap (x, y) = (y, x)

mapWords :: (String -> String) -> String -> String
mapWords f s = concat (map (\w@(c:_)-> if isSpace c then w else f w) (groupBy (\x y-> isSpace x == isSpace y) s))

type SimpleSplitterTrace = ([Maybe Bool], Bool)

type SplitterTrace = ([Maybe (Bool, Bool)], Bool)

data TestEnum = One | Two | Three | Four | Five deriving (Enum, Eq, Show, Typeable)

newtype LowercaseLetter = LowercaseLetter Char deriving (Eq, Show, Typeable)

instance Arbitrary TestEnum where
   arbitrary = oneof (map return [One, Two, Three, Four, Five])
   coarbitrary enum = variant (case enum of {One -> 0; Two -> 1; Three -> 2; Four -> 3; Five -> 4})

instance Arbitrary Char where
    arbitrary     = choose ('\32', '\128')
    coarbitrary c = variant ((ord c - 32) `rem` 128)

instance Arbitrary LowercaseLetter where
    arbitrary     = fmap LowercaseLetter (choose ('a', 'z'))
    coarbitrary (LowercaseLetter c) = variant ((ord c - 65) `rem` 26)

instance Arbitrary (Splitter Identity Int) where
   arbitrary = fmap splitterFromTrace arbitrary
   coarbitrary s gen = sized (\n-> coarbitrary (transducerOutput (ifs s
                                                                  (lift121Transducer "true" $ const True)
                                                                  (lift121Transducer "false" $ const False))
                                                [1..n]) gen)