{-# LANGUAGE CPP, ScopedTypeVariables, BangPatterns #-}
--
-- Must have rules off, otherwise the rewrite rules will replace the rhs
-- with the lhs, and we only end up testing lhs == lhs
--

--
-- -fhpc interferes with rewrite rules firing.
--

import Foreign.Storable
import Foreign.ForeignPtr
import Foreign.Marshal.Alloc
import Foreign.Marshal.Array
import GHC.Ptr
import Test.QuickCheck
import Control.Monad
import Control.Concurrent
import Control.Exception
import System.Directory

import Data.List
import Data.Char
import Data.Word
import Data.Maybe
import Data.Int (Int64)
import Data.Monoid

import Text.Printf
import Data.String

import System.Environment
import System.IO
import System.IO.Unsafe

import Data.ByteString.Lazy (ByteString(..), pack , unpack)
import qualified Data.ByteString.Lazy as L
import Data.ByteString.Lazy.Internal (ByteString(..))

import qualified Data.ByteString            as P
import qualified Data.ByteString.Internal   as P
import qualified Data.ByteString.Unsafe     as P
import qualified Data.ByteString.Char8      as C
import qualified Data.ByteString.Short      as Short

import qualified Data.ByteString.Lazy.Char8 as LC
import qualified Data.ByteString.Lazy.Char8 as D

import qualified Data.ByteString.Lazy.Internal as L
import Prelude hiding (abs)

import Rules
import QuickCheckUtils
#if defined(HAVE_TEST_FRAMEWORK)
import Test.Framework
import Test.Framework.Providers.QuickCheck2
#else
import TestFramework
#endif

toInt64 :: Int -> Int64
toInt64 = fromIntegral

--
-- ByteString.Lazy.Char8 <=> ByteString.Char8
--

prop_concatCC       = D.concat                `eq1`  C.concat
prop_nullCC         = D.null                  `eq1`  C.null
prop_reverseCC      = D.reverse               `eq1`  C.reverse
prop_transposeCC    = D.transpose             `eq1`  C.transpose
prop_groupCC        = D.group                 `eq1`  C.group
prop_groupByCC      = D.groupBy               `eq2`  C.groupBy
prop_initsCC        = D.inits                 `eq1`  C.inits
prop_tailsCC        = D.tails                 `eq1`  C.tails
prop_allCC          = D.all                   `eq2`  C.all
prop_anyCC          = D.any                   `eq2`  C.any
prop_appendCC       = D.append                `eq2`  C.append
prop_breakCC        = D.break                 `eq2`  C.break
prop_concatMapCC    = forAll (sized $ \n -> resize (min 50 n) arbitrary) $
                      D.concatMap             `eq2`  C.concatMap
prop_consCC         = D.cons                  `eq2`  C.cons
prop_consCC'        = D.cons'                 `eq2`  C.cons
prop_unconsCC       = D.uncons                `eq1`  C.uncons
prop_unsnocCC       = D.unsnoc                `eq1`  C.unsnoc
prop_countCC        = D.count                 `eq2`  ((toInt64 .) . C.count)
prop_dropCC         = (D.drop . toInt64)      `eq2`  C.drop
prop_dropWhileCC    = D.dropWhile             `eq2`  C.dropWhile
prop_filterCC       = D.filter                `eq2`  C.filter
prop_findCC         = D.find                  `eq2`  C.find
prop_findIndexCC    = D.findIndex             `eq2`  ((fmap toInt64 .) . C.findIndex)
prop_findIndicesCC  = D.findIndices           `eq2`  ((fmap toInt64 .) . C.findIndices)
prop_isPrefixOfCC   = D.isPrefixOf            `eq2`  C.isPrefixOf
prop_mapCC          = D.map                   `eq2`  C.map
prop_replicateCC    = forAll arbitrarySizedIntegral $
                      (D.replicate . toInt64) `eq2`  C.replicate
prop_snocCC         = D.snoc                  `eq2`  C.snoc
prop_spanCC         = D.span                  `eq2`  C.span
prop_splitCC        = D.split                 `eq2`  C.split
prop_splitAtCC      = (D.splitAt . toInt64)   `eq2`  C.splitAt
prop_takeCC         = (D.take    . toInt64)   `eq2`  C.take
prop_takeWhileCC    = D.takeWhile             `eq2`  C.takeWhile
prop_elemCC         = D.elem                  `eq2`  C.elem
prop_notElemCC      = D.notElem               `eq2`  C.notElem
prop_elemIndexCC    = D.elemIndex             `eq2`  ((fmap toInt64 .) . C.elemIndex)
prop_elemIndicesCC  = D.elemIndices           `eq2`  ((fmap toInt64 .) . C.elemIndices)
prop_lengthCC       = D.length                `eq1`  (toInt64 . C.length)

prop_headCC         = D.head        `eqnotnull1` C.head
prop_initCC         = D.init        `eqnotnull1` C.init
prop_lastCC         = D.last        `eqnotnull1` C.last
prop_maximumCC      = D.maximum     `eqnotnull1` C.maximum
prop_minimumCC      = D.minimum     `eqnotnull1` C.minimum
prop_tailCC         = D.tail        `eqnotnull1` C.tail
prop_foldl1CC       = D.foldl1      `eqnotnull2` C.foldl1
prop_foldl1CC'      = D.foldl1'     `eqnotnull2` C.foldl1'
prop_foldr1CC       = D.foldr1      `eqnotnull2` C.foldr1
prop_foldr1CC'      = D.foldr1      `eqnotnull2` C.foldr1'
prop_scanlCC        = D.scanl       `eqnotnull3` C.scanl

prop_intersperseCC = D.intersperse  `eq2` C.intersperse

prop_foldlCC     = eq3
    (D.foldl     :: (X -> Char -> X) -> X -> B -> X)
    (C.foldl     :: (X -> Char -> X) -> X -> P -> X)
prop_foldlCC'    = eq3
    (D.foldl'    :: (X -> Char -> X) -> X -> B -> X)
    (C.foldl'    :: (X -> Char -> X) -> X -> P -> X)
prop_foldrCC     = eq3
    (D.foldr     :: (Char -> X -> X) -> X -> B -> X)
    (C.foldr     :: (Char -> X -> X) -> X -> P -> X)
prop_foldrCC'    = eq3
    (D.foldr     :: (Char -> X -> X) -> X -> B -> X)
    (C.foldr'    :: (Char -> X -> X) -> X -> P -> X)
prop_mapAccumLCC = eq3
    (D.mapAccumL :: (X -> Char -> (X,Char)) -> X -> B -> (X, B))
    (C.mapAccumL :: (X -> Char -> (X,Char)) -> X -> P -> (X, P))

--prop_mapIndexedCC = D.mapIndexed `eq2` C.mapIndexed
--prop_mapIndexedPL = L.mapIndexed `eq2` P.mapIndexed

--prop_mapAccumL_mapIndexedBP =
--        P.mapIndexed `eq2`
--        (\k p -> snd $ P.mapAccumL (\i w -> (i+1, k i w)) (0::Int) p)

--
-- ByteString.Lazy <=> ByteString
--

prop_concatBP       = forAll (sized $ \n -> resize (n `div` 2) arbitrary) $
                      L.concat               `eq1`  P.concat
prop_nullBP         = L.null                 `eq1`  P.null
prop_reverseBP      = L.reverse              `eq1`  P.reverse

prop_transposeBP    = L.transpose            `eq1`  P.transpose
prop_groupBP        = L.group                `eq1`  P.group
prop_groupByBP      = L.groupBy              `eq2`  P.groupBy
prop_initsBP        = L.inits                `eq1`  P.inits
prop_tailsBP        = L.tails                `eq1`  P.tails
prop_allBP          = L.all                  `eq2`  P.all
prop_anyBP          = L.any                  `eq2`  P.any
prop_appendBP       = L.append               `eq2`  P.append
prop_breakBP        = L.break                `eq2`  P.break
prop_concatMapBP    = forAll (sized $ \n -> resize (n `div` 4) arbitrary) $
                      L.concatMap            `eq2`  P.concatMap
prop_consBP         = L.cons                 `eq2`  P.cons
prop_consBP'        = L.cons'                `eq2`  P.cons
prop_unconsBP       = L.uncons               `eq1`  P.uncons
prop_unsnocBP       = L.unsnoc               `eq1`  P.unsnoc
prop_countBP        = L.count                `eq2`  ((toInt64 .) . P.count)
prop_dropBP         = (L.drop. toInt64)      `eq2`  P.drop
prop_dropWhileBP    = L.dropWhile            `eq2`  P.dropWhile
prop_filterBP       = L.filter               `eq2`  P.filter
prop_findBP         = L.find                 `eq2`  P.find
prop_findIndexBP    = L.findIndex            `eq2`  ((fmap toInt64 .) . P.findIndex)
prop_findIndicesBP  = L.findIndices          `eq2`  ((fmap toInt64 .) . P.findIndices)
prop_isPrefixOfBP   = L.isPrefixOf           `eq2`  P.isPrefixOf
prop_mapBP          = L.map                  `eq2`  P.map
prop_replicateBP    = forAll arbitrarySizedIntegral $
                      (L.replicate. toInt64) `eq2`  P.replicate
prop_snocBP         = L.snoc                 `eq2`  P.snoc
prop_spanBP         = L.span                 `eq2`  P.span
prop_splitBP        = L.split                `eq2`  P.split
prop_splitAtBP      = (L.splitAt. toInt64)   `eq2`  P.splitAt
prop_takeBP         = (L.take   . toInt64)   `eq2`  P.take
prop_takeWhileBP    = L.takeWhile            `eq2`  P.takeWhile
prop_elemBP         = L.elem                 `eq2`  P.elem
prop_notElemBP      = L.notElem              `eq2`  P.notElem
prop_elemIndexBP    = L.elemIndex            `eq2`  ((fmap toInt64 .) . P.elemIndex)
prop_elemIndicesBP  = L.elemIndices          `eq2`  ((fmap toInt64 .) . P.elemIndices)
prop_intersperseBP  = L.intersperse          `eq2`  P.intersperse
prop_lengthBP       = L.length               `eq1`  (toInt64 . P.length)
prop_readIntBP      = D.readInt              `eq1`  C.readInt
prop_linesBP        = D.lines                `eq1`  C.lines

-- double check:
-- Currently there's a bug in the lazy bytestring version of lines, this
-- catches it:
prop_linesNLBP      = eq1 D.lines C.lines x
    where x = D.pack "one\ntwo\n\n\nfive\n\nseven\n"

prop_headBP         = L.head        `eqnotnull1` P.head
prop_initBP         = L.init        `eqnotnull1` P.init
prop_lastBP         = L.last        `eqnotnull1` P.last
prop_maximumBP      = L.maximum     `eqnotnull1` P.maximum
prop_minimumBP      = L.minimum     `eqnotnull1` P.minimum
prop_tailBP         = L.tail        `eqnotnull1` P.tail
prop_foldl1BP       = L.foldl1      `eqnotnull2` P.foldl1
prop_foldl1BP'      = L.foldl1'     `eqnotnull2` P.foldl1'
prop_foldr1BP       = L.foldr1      `eqnotnull2` P.foldr1
prop_foldr1BP'      = L.foldr1      `eqnotnull2` P.foldr1'
prop_scanlBP        = L.scanl       `eqnotnull3` P.scanl


prop_eqBP        = eq2
    ((==) :: B -> B -> Bool)
    ((==) :: P -> P -> Bool)
prop_compareBP   = eq2
    ((compare) :: B -> B -> Ordering)
    ((compare) :: P -> P -> Ordering)
prop_foldlBP     = eq3
    (L.foldl     :: (X -> W -> X) -> X -> B -> X)
    (P.foldl     :: (X -> W -> X) -> X -> P -> X)
prop_foldlBP'    = eq3
    (L.foldl'    :: (X -> W -> X) -> X -> B -> X)
    (P.foldl'    :: (X -> W -> X) -> X -> P -> X)
prop_foldrBP     = eq3
    (L.foldr     :: (W -> X -> X) -> X -> B -> X)
    (P.foldr     :: (W -> X -> X) -> X -> P -> X)
prop_foldrBP'    = eq3
    (L.foldr     :: (W -> X -> X) -> X -> B -> X)
    (P.foldr'    :: (W -> X -> X) -> X -> P -> X)
prop_mapAccumLBP = eq3
    (L.mapAccumL :: (X -> W -> (X,W)) -> X -> B -> (X, B))
    (P.mapAccumL :: (X -> W -> (X,W)) -> X -> P -> (X, P))

prop_unfoldrBP   =
  forAll arbitrarySizedIntegral $
  eq3
    ((\n f a -> L.take (fromIntegral n) $
        L.unfoldr    f a) :: Int -> (X -> Maybe (W,X)) -> X -> B)
    ((\n f a ->                     fst $
        P.unfoldrN n f a) :: Int -> (X -> Maybe (W,X)) -> X -> P)

prop_unfoldr2BP   =
  forAll arbitrarySizedIntegral $ \n ->
  forAll arbitrarySizedIntegral $ \a ->
  eq2
    ((\n a -> P.take (n*100) $
        P.unfoldr    (\x -> if x <= (n*100) then Just (fromIntegral x, x + 1) else Nothing) a)
                :: Int -> Int -> P)
    ((\n a ->                     fst $
        P.unfoldrN (n*100) (\x -> if x <= (n*100) then Just (fromIntegral x, x + 1) else Nothing) a)
                :: Int -> Int -> P)
    n a

prop_unfoldr2CP   =
  forAll arbitrarySizedIntegral $ \n ->
  forAll arbitrarySizedIntegral $ \a ->
  eq2
    ((\n a -> C.take (n*100) $
        C.unfoldr    (\x -> if x <= (n*100) then Just (chr (x `mod` 256), x + 1) else Nothing) a)
                :: Int -> Int -> P)
    ((\n a ->                     fst $
        C.unfoldrN (n*100) (\x -> if x <= (n*100) then Just (chr (x `mod` 256), x + 1) else Nothing) a)
                :: Int -> Int -> P)
    n a


prop_unfoldrLC   =
  forAll arbitrarySizedIntegral $
  eq3
    ((\n f a -> LC.take (fromIntegral n) $
        LC.unfoldr    f a) :: Int -> (X -> Maybe (Char,X)) -> X -> B)
    ((\n f a ->                     fst $
        C.unfoldrN n f a) :: Int -> (X -> Maybe (Char,X)) -> X -> P)

prop_cycleLC  a   =
  not (LC.null a) ==>
  forAll arbitrarySizedIntegral $
  eq1
    ((\n   -> LC.take (fromIntegral n) $
              LC.cycle a
     ) :: Int -> B)

    ((\n   -> LC.take (fromIntegral (n::Int)) . LC.concat $
              unfoldr (\x ->  Just (x,x) ) a
     ) :: Int -> B)


prop_iterateLC =
  forAll arbitrarySizedIntegral $
  eq3
    ((\n f a -> LC.take (fromIntegral n) $
        LC.iterate  f a) :: Int -> (Char -> Char) -> Char -> B)
    ((\n f a -> fst $
        C.unfoldrN n (\a -> Just (f a, f a)) a) :: Int -> (Char -> Char) -> Char -> P)

prop_iterateLC_2   =
  forAll arbitrarySizedIntegral $
  eq3
    ((\n f a -> LC.take (fromIntegral n) $
        LC.iterate  f a) :: Int -> (Char -> Char) -> Char -> B)
    ((\n f a -> LC.take (fromIntegral n) $
        LC.unfoldr (\a -> Just (f a, f a)) a) :: Int -> (Char -> Char) -> Char -> B)

prop_iterateL   =
  forAll arbitrarySizedIntegral $
  eq3
    ((\n f a -> L.take (fromIntegral n) $
        L.iterate  f a) :: Int -> (W -> W) -> W -> B)
    ((\n f a -> fst $
        P.unfoldrN n (\a -> Just (f a, f a)) a) :: Int -> (W -> W) -> W -> P)

prop_repeatLC   =
  forAll arbitrarySizedIntegral $
  eq2
    ((\n a -> LC.take (fromIntegral n) $
        LC.repeat a) :: Int -> Char -> B)
    ((\n a -> fst $
        C.unfoldrN n (\a -> Just (a, a)) a) :: Int -> Char -> P)

prop_repeatL   =
  forAll arbitrarySizedIntegral $
  eq2
    ((\n a -> L.take (fromIntegral n) $
        L.repeat a) :: Int -> W -> B)
    ((\n a -> fst $
        P.unfoldrN n (\a -> Just (a, a)) a) :: Int -> W -> P)

--
-- properties comparing ByteString.Lazy `eq1` List
--

prop_concatBL       = forAll (sized $ \n -> resize (n `div` 2) arbitrary) $
                      L.concat                `eq1` (concat    :: [[W]] -> [W])
prop_lengthBL       = L.length                `eq1` (toInt64 . length    :: [W] -> Int64)
prop_nullBL         = L.null                  `eq1` (null      :: [W] -> Bool)
prop_reverseBL      = L.reverse               `eq1` (reverse   :: [W] -> [W])
prop_transposeBL    = L.transpose             `eq1` (transpose :: [[W]] -> [[W]])
prop_groupBL        = L.group                 `eq1` (group     :: [W] -> [[W]])
prop_groupByBL      = L.groupBy               `eq2` (groupBy   :: (W -> W -> Bool) -> [W] -> [[W]])
prop_initsBL        = L.inits                 `eq1` (inits     :: [W] -> [[W]])
prop_tailsBL        = L.tails                 `eq1` (tails     :: [W] -> [[W]])
prop_allBL          = L.all                   `eq2` (all       :: (W -> Bool) -> [W] -> Bool)
prop_anyBL          = L.any                   `eq2` (any       :: (W -> Bool) -> [W] -> Bool)
prop_appendBL       = L.append                `eq2` ((++)      :: [W] -> [W] -> [W])
prop_breakBL        = L.break                 `eq2` (break     :: (W -> Bool) -> [W] -> ([W],[W]))
prop_concatMapBL    = forAll (sized $ \n -> resize (n `div` 2) arbitrary) $
                      L.concatMap             `eq2` (concatMap :: (W -> [W]) -> [W] -> [W])
prop_consBL         = L.cons                  `eq2` ((:)       :: W -> [W] -> [W])
prop_dropBL         = (L.drop . toInt64)      `eq2` (drop      :: Int -> [W] -> [W])
prop_dropWhileBL    = L.dropWhile             `eq2` (dropWhile :: (W -> Bool) -> [W] -> [W])
prop_filterBL       = L.filter                `eq2` (filter    :: (W -> Bool ) -> [W] -> [W])
prop_findBL         = L.find                  `eq2` (find      :: (W -> Bool) -> [W] -> Maybe W)
prop_findIndicesBL  = L.findIndices           `eq2` ((fmap toInt64 .) . findIndices:: (W -> Bool) -> [W] -> [Int64])
prop_findIndexBL    = L.findIndex             `eq2` ((fmap toInt64 .) . findIndex :: (W -> Bool) -> [W] -> Maybe Int64)
prop_isPrefixOfBL   = L.isPrefixOf            `eq2` (isPrefixOf:: [W] -> [W] -> Bool)
prop_mapBL          = L.map                   `eq2` (map       :: (W -> W) -> [W] -> [W])
prop_replicateBL    = forAll arbitrarySizedIntegral $
                      (L.replicate . toInt64) `eq2` (replicate :: Int -> W -> [W])
prop_snocBL         = L.snoc                  `eq2` ((\xs x -> xs ++ [x]) :: [W] -> W -> [W])
prop_spanBL         = L.span                  `eq2` (span      :: (W -> Bool) -> [W] -> ([W],[W]))
prop_splitAtBL      = (L.splitAt . toInt64)   `eq2` (splitAt :: Int -> [W] -> ([W],[W]))
prop_takeBL         = (L.take    . toInt64)   `eq2` (take    :: Int -> [W] -> [W])
prop_takeWhileBL    = L.takeWhile             `eq2` (takeWhile :: (W -> Bool) -> [W] -> [W])
prop_elemBL         = L.elem                  `eq2` (elem      :: W -> [W] -> Bool)
prop_notElemBL      = L.notElem               `eq2` (notElem   :: W -> [W] -> Bool)
prop_elemIndexBL    = L.elemIndex             `eq2` ((fmap toInt64 .) . elemIndex   :: W -> [W] -> Maybe Int64)
prop_elemIndicesBL  = L.elemIndices           `eq2` ((fmap toInt64 .) . elemIndices :: W -> [W] -> [Int64])
prop_linesBL        = D.lines                 `eq1` (lines     :: String -> [String])

prop_foldl1BL       = L.foldl1  `eqnotnull2` (foldl1    :: (W -> W -> W) -> [W] -> W)
prop_foldl1BL'      = L.foldl1' `eqnotnull2` (foldl1'   :: (W -> W -> W) -> [W] -> W)
prop_foldr1BL       = L.foldr1  `eqnotnull2` (foldr1    :: (W -> W -> W) -> [W] -> W)
prop_headBL         = L.head    `eqnotnull1` (head      :: [W] -> W)
prop_initBL         = L.init    `eqnotnull1` (init      :: [W] -> [W])
prop_lastBL         = L.last    `eqnotnull1` (last      :: [W] -> W)
prop_maximumBL      = L.maximum `eqnotnull1` (maximum   :: [W] -> W)
prop_minimumBL      = L.minimum `eqnotnull1` (minimum   :: [W] -> W)
prop_tailBL         = L.tail    `eqnotnull1` (tail      :: [W] -> [W])

prop_eqBL         = eq2
    ((==) :: B   -> B   -> Bool)
    ((==) :: [W] -> [W] -> Bool)
prop_compareBL    = eq2
    ((compare) :: B   -> B   -> Ordering)
    ((compare) :: [W] -> [W] -> Ordering)
prop_foldlBL      = eq3
    (L.foldl  :: (X -> W -> X) -> X -> B   -> X)
    (  foldl  :: (X -> W -> X) -> X -> [W] -> X)
prop_foldlBL'     = eq3
    (L.foldl' :: (X -> W -> X) -> X -> B   -> X)
    (  foldl' :: (X -> W -> X) -> X -> [W] -> X)
prop_foldrBL      = eq3
    (L.foldr  :: (W -> X -> X) -> X -> B   -> X)
    (  foldr  :: (W -> X -> X) -> X -> [W] -> X)
prop_mapAccumLBL  = eq3
    (L.mapAccumL :: (X -> W -> (X,W)) -> X -> B   -> (X, B))
    (  mapAccumL :: (X -> W -> (X,W)) -> X -> [W] -> (X, [W]))

prop_mapAccumRBL  = eq3
    (L.mapAccumR :: (X -> W -> (X,W)) -> X -> B   -> (X, B))
    (  mapAccumR :: (X -> W -> (X,W)) -> X -> [W] -> (X, [W]))

prop_mapAccumRDL  = eq3
    (D.mapAccumR :: (X -> Char -> (X,Char)) -> X -> B   -> (X, B))
    (  mapAccumR :: (X -> Char -> (X,Char)) -> X -> [Char] -> (X, [Char]))

prop_mapAccumRCC  = eq3
    (C.mapAccumR :: (X -> Char -> (X,Char)) -> X -> P   -> (X, P))
    (  mapAccumR :: (X -> Char -> (X,Char)) -> X -> [Char] -> (X, [Char]))

prop_unfoldrBL =
  forAll arbitrarySizedIntegral $
  eq3
    ((\n f a -> L.take (fromIntegral n) $
        L.unfoldr f a) :: Int -> (X -> Maybe (W,X)) -> X -> B)
    ((\n f a ->                  take n $
          unfoldr f a) :: Int -> (X -> Maybe (W,X)) -> X -> [W])

--
-- And finally, check correspondance between Data.ByteString and List
--

prop_lengthPL     = (fromIntegral.P.length :: P -> Int) `eq1` (length :: [W] -> Int)
prop_nullPL       = P.null      `eq1` (null      :: [W] -> Bool)
prop_reversePL    = P.reverse   `eq1` (reverse   :: [W] -> [W])
prop_transposePL  = P.transpose `eq1` (transpose :: [[W]] -> [[W]])
prop_groupPL      = P.group     `eq1` (group     :: [W] -> [[W]])
prop_groupByPL    = P.groupBy   `eq2` (groupBy   :: (W -> W -> Bool) -> [W] -> [[W]])
prop_initsPL      = P.inits     `eq1` (inits     :: [W] -> [[W]])
prop_tailsPL      = P.tails     `eq1` (tails     :: [W] -> [[W]])
prop_concatPL     = forAll (sized $ \n -> resize (n `div` 2) arbitrary) $
                    P.concat    `eq1` (concat    :: [[W]] -> [W])
prop_allPL        = P.all       `eq2` (all       :: (W -> Bool) -> [W] -> Bool)
prop_anyPL        = P.any       `eq2`    (any       :: (W -> Bool) -> [W] -> Bool)
prop_appendPL     = P.append    `eq2`    ((++)      :: [W] -> [W] -> [W])
prop_breakPL      = P.break     `eq2`    (break     :: (W -> Bool) -> [W] -> ([W],[W]))
prop_concatMapPL  = forAll (sized $ \n -> resize (n `div` 2) arbitrary) $
                    P.concatMap `eq2`    (concatMap :: (W -> [W]) -> [W] -> [W])
prop_consPL       = P.cons      `eq2`    ((:)       :: W -> [W] -> [W])
prop_dropPL       = P.drop      `eq2`    (drop      :: Int -> [W] -> [W])
prop_dropWhilePL  = P.dropWhile `eq2`    (dropWhile :: (W -> Bool) -> [W] -> [W])
prop_filterPL     = P.filter    `eq2`    (filter    :: (W -> Bool ) -> [W] -> [W])
prop_filterPL_rule= (\x -> P.filter ((==) x))  `eq2` -- test rules
                    ((\x -> filter ((==) x)) :: W -> [W] -> [W])

-- under lambda doesn't fire?
prop_filterLC_rule= (f)  `eq2` -- test rules
                    ((\x -> filter ((==) x)) :: Char -> [Char] -> [Char])
    where
         f x s = LC.filter ((==) x) s

prop_partitionPL  = P.partition `eq2`    (partition :: (W -> Bool ) -> [W] -> ([W],[W]))
prop_partitionLL  = L.partition `eq2`    (partition :: (W -> Bool ) -> [W] -> ([W],[W]))
prop_findPL       = P.find      `eq2`    (find      :: (W -> Bool) -> [W] -> Maybe W)
prop_findIndexPL  = P.findIndex `eq2`    (findIndex :: (W -> Bool) -> [W] -> Maybe Int)
prop_isPrefixOfPL = P.isPrefixOf`eq2`    (isPrefixOf:: [W] -> [W] -> Bool)
prop_isInfixOfPL  = P.isInfixOf `eq2`    (isInfixOf:: [W] -> [W] -> Bool)
prop_mapPL        = P.map       `eq2`    (map       :: (W -> W) -> [W] -> [W])
prop_replicatePL  = forAll arbitrarySizedIntegral $
                    P.replicate `eq2`    (replicate :: Int -> W -> [W])
prop_snocPL       = P.snoc      `eq2`    ((\xs x -> xs ++ [x]) :: [W] -> W -> [W])
prop_spanPL       = P.span      `eq2`    (span      :: (W -> Bool) -> [W] -> ([W],[W]))
prop_splitAtPL    = P.splitAt   `eq2`    (splitAt   :: Int -> [W] -> ([W],[W]))
prop_takePL       = P.take      `eq2`    (take      :: Int -> [W] -> [W])
prop_takeWhilePL  = P.takeWhile `eq2`    (takeWhile :: (W -> Bool) -> [W] -> [W])
prop_elemPL       = P.elem      `eq2`    (elem      :: W -> [W] -> Bool)
prop_notElemPL    = P.notElem   `eq2`    (notElem   :: W -> [W] -> Bool)
prop_elemIndexPL  = P.elemIndex `eq2`    (elemIndex :: W -> [W] -> Maybe Int)
prop_linesPL      = C.lines     `eq1`    (lines     :: String -> [String])
prop_findIndicesPL= P.findIndices`eq2`   (findIndices:: (W -> Bool) -> [W] -> [Int])
prop_elemIndicesPL= P.elemIndices`eq2`   (elemIndices:: W -> [W] -> [Int])
prop_zipPL        = P.zip        `eq2`   (zip :: [W] -> [W] -> [(W,W)])
prop_zipCL        = C.zip        `eq2`   (zip :: [Char] -> [Char] -> [(Char,Char)])
prop_zipLL        = L.zip        `eq2`   (zip :: [W] -> [W] -> [(W,W)])
prop_unzipPL      = P.unzip      `eq1`   (unzip :: [(W,W)] -> ([W],[W]))
prop_unzipLL      = L.unzip      `eq1`   (unzip :: [(W,W)] -> ([W],[W]))
prop_unzipCL      = C.unzip      `eq1`   (unzip :: [(Char,Char)] -> ([Char],[Char]))

prop_foldl1PL     = P.foldl1    `eqnotnull2` (foldl1   :: (W -> W -> W) -> [W] -> W)
prop_foldl1PL'    = P.foldl1'   `eqnotnull2` (foldl1' :: (W -> W -> W) -> [W] -> W)
prop_foldr1PL     = P.foldr1    `eqnotnull2` (foldr1 :: (W -> W -> W) -> [W] -> W)
prop_scanlPL      = P.scanl     `eqnotnull3` (scanl  :: (W -> W -> W) -> W -> [W] -> [W])
prop_scanl1PL     = P.scanl1    `eqnotnull2` (scanl1 :: (W -> W -> W) -> [W] -> [W])
prop_scanrPL      = P.scanr     `eqnotnull3` (scanr  :: (W -> W -> W) -> W -> [W] -> [W])
prop_scanr1PL     = P.scanr1    `eqnotnull2` (scanr1 :: (W -> W -> W) -> [W] -> [W])
prop_headPL       = P.head      `eqnotnull1` (head      :: [W] -> W)
prop_initPL       = P.init      `eqnotnull1` (init      :: [W] -> [W])
prop_lastPL       = P.last      `eqnotnull1` (last      :: [W] -> W)
prop_maximumPL    = P.maximum   `eqnotnull1` (maximum   :: [W] -> W)
prop_minimumPL    = P.minimum   `eqnotnull1` (minimum   :: [W] -> W)
prop_tailPL       = P.tail      `eqnotnull1` (tail      :: [W] -> [W])

prop_scanl1CL     = C.scanl1    `eqnotnull2` (scanl1 :: (Char -> Char -> Char) -> [Char] -> [Char])
prop_scanrCL      = C.scanr     `eqnotnull3` (scanr  :: (Char -> Char -> Char) -> Char -> [Char] -> [Char])
prop_scanr1CL     = C.scanr1    `eqnotnull2` (scanr1 :: (Char -> Char -> Char) -> [Char] -> [Char])

-- prop_zipWithPL'   = P.zipWith'  `eq3` (zipWith :: (W -> W -> W) -> [W] -> [W] -> [W])

prop_zipWithPL    = (P.zipWith  :: (W -> W -> X) -> P   -> P   -> [X]) `eq3`
                      (zipWith  :: (W -> W -> X) -> [W] -> [W] -> [X])

prop_zipWithPL_rules   = (P.zipWith  :: (W -> W -> W) -> P -> P -> [W]) `eq3`
                         (zipWith    :: (W -> W -> W) -> [W] -> [W] -> [W])

prop_eqPL      = eq2
    ((==) :: P   -> P   -> Bool)
    ((==) :: [W] -> [W] -> Bool)
prop_comparePL = eq2
    ((compare) :: P   -> P   -> Ordering)
    ((compare) :: [W] -> [W] -> Ordering)
prop_foldlPL   = eq3
    (P.foldl  :: (X -> W -> X) -> X -> P        -> X)
    (  foldl  :: (X -> W -> X) -> X -> [W]      -> X)
prop_foldlPL'  = eq3
    (P.foldl' :: (X -> W -> X) -> X -> P        -> X)
    (  foldl' :: (X -> W -> X) -> X -> [W]      -> X)
prop_foldrPL   = eq3
    (P.foldr  :: (W -> X -> X) -> X -> P        -> X)
    (  foldr  :: (W -> X -> X) -> X -> [W]      -> X)
prop_mapAccumLPL= eq3
    (P.mapAccumL :: (X -> W -> (X,W)) -> X -> P -> (X, P))
    (  mapAccumL :: (X -> W -> (X,W)) -> X -> [W] -> (X, [W]))
prop_mapAccumRPL= eq3
    (P.mapAccumR :: (X -> W -> (X,W)) -> X -> P -> (X, P))
    (  mapAccumR :: (X -> W -> (X,W)) -> X -> [W] -> (X, [W]))
prop_unfoldrPL =
  forAll arbitrarySizedIntegral $
  eq3
    ((\n f a ->      fst $
        P.unfoldrN n f a) :: Int -> (X -> Maybe (W,X)) -> X -> P)
    ((\n f a ->   take n $
          unfoldr    f a) :: Int -> (X -> Maybe (W,X)) -> X -> [W])

------------------------------------------------------------------------
--
-- These are miscellaneous tests left over. Or else they test some
-- property internal to a type (i.e. head . sort == minimum), without
-- reference to a model type.
--

invariant :: L.ByteString -> Bool
invariant Empty       = True
invariant (Chunk c cs) = not (P.null c) && invariant cs

prop_invariant = invariant

prop_eq_refl  x     = x        == (x :: ByteString)
prop_eq_symm  x y   = (x == y) == (y == (x :: ByteString))

prop_eq1 xs      = xs == (unpack . pack $ xs)
prop_eq2 xs      = xs == (xs :: ByteString)
prop_eq3 xs ys   = (xs == ys) == (unpack xs == unpack ys)

prop_compare1 xs   = (pack xs        `compare` pack xs) == EQ
prop_compare2 xs c = (pack (xs++[c]) `compare` pack xs) == GT
prop_compare3 xs c = (pack xs `compare` pack (xs++[c])) == LT

prop_compare4 xs    = (not (null xs)) ==> (pack xs  `compare` L.empty) == GT
prop_compare5 xs    = (not (null xs)) ==> (L.empty `compare` pack xs) == LT
prop_compare6 xs ys = (not (null ys)) ==> (pack (xs++ys)  `compare` pack xs) == GT

prop_compare7 x  y  = x  `compare` y  == (L.singleton x `compare` L.singleton y)
prop_compare8 xs ys = xs `compare` ys == (L.pack xs `compare` L.pack ys)

prop_compare7LL x  y  = x  `compare` y  == (LC.singleton x `compare` LC.singleton y)

prop_empty1 = L.length L.empty == 0
prop_empty2 = L.unpack L.empty == []

prop_packunpack s = (L.unpack . L.pack) s == id s
prop_unpackpack s = (L.pack . L.unpack) s == id s

prop_null xs = null (L.unpack xs) == L.null xs

prop_length1 xs = fromIntegral (length xs) == L.length (L.pack xs)

prop_length2 xs = L.length xs == length1 xs
  where length1 ys
            | L.null ys = 0
            | otherwise = 1 + length1 (L.tail ys)

prop_cons1 c xs = unpack (L.cons c (pack xs)) == (c:xs)
prop_cons2 c    = L.singleton c == (c `L.cons` L.empty)
prop_cons3 c    = unpack (L.singleton c) == (c:[])
prop_cons4 c    = (c `L.cons` L.empty)  == pack (c:[])

prop_snoc1 xs c = xs ++ [c] == unpack ((pack xs) `L.snoc` c)

prop_head  xs = (not (null xs)) ==> head xs == (L.head . pack) xs
prop_head1 xs = not (L.null xs) ==> L.head xs == head (L.unpack xs)

prop_tail xs  = not (L.null xs) ==> L.tail xs == pack (tail (unpack xs))
prop_tail1 xs = (not (null xs)) ==> tail xs   == (unpack . L.tail . pack) xs

prop_last xs  = (not (null xs)) ==> last xs    == (L.last . pack) xs

prop_init xs  =
    (not (null xs)) ==>
    init xs   == (unpack . L.init . pack) xs

prop_append1 xs    = (xs ++ xs) == (unpack $ pack xs `L.append` pack xs)
prop_append2 xs ys = (xs ++ ys) == (unpack $ pack xs `L.append` pack ys)
prop_append3 xs ys = L.append xs ys == pack (unpack xs ++ unpack ys)

prop_map1 f xs   = L.map f (pack xs)    == pack (map f xs)
prop_map2 f g xs = L.map f (L.map g xs) == L.map (f . g) xs
prop_map3 f xs   = map f xs == (unpack . L.map f .  pack) xs

prop_filter1 c xs = (filter (/=c) xs) == (unpack $ L.filter (/=c) (pack xs))
prop_filter2 p xs = (filter p xs) == (unpack $ L.filter p (pack xs))

prop_reverse  xs = reverse xs          == (unpack . L.reverse . pack) xs
prop_reverse1 xs = L.reverse (pack xs) == pack (reverse xs)
prop_reverse2 xs = reverse (unpack xs) == (unpack . L.reverse) xs

prop_transpose xs = (transpose xs) == ((map unpack) . L.transpose . (map pack)) xs

prop_foldl f c xs = L.foldl f c (pack xs) == foldl f c xs
    where _ = c :: Char

prop_foldr f c xs = L.foldl f c (pack xs) == foldl f c xs
    where _ = c :: Char

prop_foldl_1 xs = L.foldl (\xs c -> c `L.cons` xs) L.empty xs == L.reverse xs
prop_foldr_1 xs = L.foldr (\c xs -> c `L.cons` xs) L.empty xs == id xs

prop_foldl1_1 xs =
    (not . L.null) xs ==>
    L.foldl1 (\x c -> if c > x then c else x)   xs ==
    L.foldl  (\x c -> if c > x then c else x) 0 xs

prop_foldl1_2 xs =
    (not . L.null) xs ==>
    L.foldl1 const xs == L.head xs

prop_foldl1_3 xs =
    (not . L.null) xs ==>
    L.foldl1 (flip const) xs == L.last xs

prop_foldr1_1 xs =
    (not . L.null) xs ==>
    L.foldr1 (\c x -> if c > x then c else x)   xs ==
    L.foldr  (\c x -> if c > x then c else x) 0 xs

prop_foldr1_2 xs =
    (not . L.null) xs ==>
    L.foldr1 (flip const) xs == L.last xs

prop_foldr1_3 xs =
    (not . L.null) xs ==>
    L.foldr1 const xs == L.head xs

prop_concat1 xs = (concat [xs,xs]) == (unpack $ L.concat [pack xs, pack xs])
prop_concat2 xs = (concat [xs,[]]) == (unpack $ L.concat [pack xs, pack []])
prop_concat3    = forAll (sized $ \n -> resize (n `div` 2) arbitrary) $ \xss ->
                  L.concat (map pack xss) == pack (concat xss)

prop_concatMap xs = L.concatMap L.singleton xs == (pack . concatMap (:[]) . unpack) xs

prop_any xs a = (any (== a) xs) == (L.any (== a) (pack xs))
prop_all xs a = (all (== a) xs) == (L.all (== a) (pack xs))

prop_maximum xs = (not (null xs)) ==> (maximum xs) == (L.maximum ( pack xs ))
prop_minimum xs = (not (null xs)) ==> (minimum xs) == (L.minimum ( pack xs ))

prop_replicate1 c =
    forAll arbitrary $ \(Positive n) ->
    unpack (L.replicate (fromIntegral n) c) == replicate n c

prop_replicate2 c = unpack (L.replicate 0 c) == replicate 0 c

prop_take1 i xs = L.take (fromIntegral i) (pack xs) == pack (take i xs)
prop_drop1 i xs = L.drop (fromIntegral i) (pack xs) == pack (drop i xs)

prop_splitAt i xs = --collect (i >= 0 && i < length xs) $
    L.splitAt (fromIntegral i) (pack xs) == let (a,b) = splitAt i xs in (pack a, pack b)

prop_takeWhile f xs = L.takeWhile f (pack xs) == pack (takeWhile f xs)
prop_dropWhile f xs = L.dropWhile f (pack xs) == pack (dropWhile f xs)

prop_break f xs = L.break f (pack xs) ==
    let (a,b) = break f xs in (pack a, pack b)

prop_breakspan xs c = L.break (==c) xs == L.span (/=c) xs

prop_span xs a = (span (/=a) xs) == (let (x,y) = L.span (/=a) (pack xs) in (unpack x, unpack y))

-- prop_breakByte xs c = L.break (== c) xs == L.breakByte c xs

-- prop_spanByte c xs = (L.span (==c) xs) == L.spanByte c xs

prop_split c xs = (map L.unpack . map checkInvariant . L.split c $ xs)
               == (map P.unpack . P.split c . P.pack . L.unpack $ xs)

prop_splitWith f xs = (l1 == l2 || l1 == l2+1) &&
        sum (map L.length splits) == L.length xs - l2
  where splits = L.splitWith f xs
        l1 = fromIntegral (length splits)
        l2 = L.length (L.filter f xs)

prop_splitWith_D f xs = (l1 == l2 || l1 == l2+1) &&
        sum (map D.length splits) == D.length xs - l2
  where splits = D.splitWith f xs
        l1 = fromIntegral (length splits)
        l2 = D.length (D.filter f xs)

prop_splitWith_C f xs = (l1 == l2 || l1 == l2+1) &&
        sum (map C.length splits) == C.length xs - l2
  where splits = C.splitWith f xs
        l1 = fromIntegral (length splits)
        l2 = C.length (C.filter f xs)

prop_joinsplit c xs = L.intercalate (pack [c]) (L.split c xs) == id xs

prop_group xs       = group xs == (map unpack . L.group . pack) xs
prop_groupBy  f xs  = groupBy f xs == (map unpack . L.groupBy f . pack) xs
prop_groupBy_LC  f xs  = groupBy f xs == (map LC.unpack . LC.groupBy f .  LC.pack) xs

-- prop_joinjoinByte xs ys c = L.joinWithByte c xs ys == L.join (L.singleton c) [xs,ys]

prop_index xs =
  not (null xs) ==>
    forAll indices $ \i -> (xs !! i) == L.pack xs `L.index` (fromIntegral i)
  where indices = choose (0, length xs -1)

prop_index_D xs =
  not (null xs) ==>
    forAll indices $ \i -> (xs !! i) == D.pack xs `D.index` (fromIntegral i)
  where indices = choose (0, length xs -1)

prop_index_C xs =
  not (null xs) ==>
    forAll indices $ \i -> (xs !! i) == C.pack xs `C.index` (fromIntegral i)
  where indices = choose (0, length xs -1)

prop_elemIndex xs c = (elemIndex c xs) == fmap fromIntegral (L.elemIndex c (pack xs))
prop_elemIndexCL xs c = (elemIndex c xs) == (C.elemIndex c (C.pack xs))

prop_elemIndices xs c = elemIndices c xs == map fromIntegral (L.elemIndices c (pack xs))

prop_count c xs = length (L.elemIndices c xs) == fromIntegral (L.count c xs)

prop_findIndex xs f = (findIndex f xs) == fmap fromIntegral (L.findIndex f (pack xs))
prop_findIndicies xs f = (findIndices f xs) == map fromIntegral (L.findIndices f (pack xs))

prop_elem    xs c = (c `elem` xs)    == (c `L.elem` (pack xs))
prop_notElem xs c = (c `notElem` xs) == (L.notElem c (pack xs))
prop_elem_notelem xs c = c `L.elem` xs == not (c `L.notElem` xs)

-- prop_filterByte  xs c = L.filterByte c xs == L.filter (==c) xs
-- prop_filterByte2 xs c = unpack (L.filterByte c xs) == filter (==c) (unpack xs)

-- prop_filterNotByte  xs c = L.filterNotByte c xs == L.filter (/=c) xs
-- prop_filterNotByte2 xs c = unpack (L.filterNotByte c xs) == filter (/=c) (unpack xs)

prop_find p xs = find p xs == L.find p (pack xs)

prop_find_findIndex p xs =
    L.find p xs == case L.findIndex p xs of
                                Just n -> Just (xs `L.index` n)
                                _      -> Nothing

prop_isPrefixOf xs ys = isPrefixOf xs ys == (pack xs `L.isPrefixOf` pack ys)

{-
prop_sort1 xs = sort xs == (unpack . L.sort . pack) xs
prop_sort2 xs = (not (null xs)) ==> (L.head . L.sort . pack $ xs) == minimum xs
prop_sort3 xs = (not (null xs)) ==> (L.last . L.sort . pack $ xs) == maximum xs
prop_sort4 xs ys =
        (not (null xs)) ==>
        (not (null ys)) ==>
        (L.head . L.sort) (L.append (pack xs) (pack ys)) == min (minimum xs) (minimum ys)

prop_sort5 xs ys =
        (not (null xs)) ==>
        (not (null ys)) ==>
        (L.last . L.sort) (L.append (pack xs) (pack ys)) == max (maximum xs) (maximum ys)

-}

------------------------------------------------------------------------
-- Misc ByteString properties

prop_nil1BB = P.length P.empty == 0
prop_nil2BB = P.unpack P.empty == []
prop_nil1BB_monoid = P.length mempty == 0
prop_nil2BB_monoid = P.unpack mempty == []

prop_nil1LL_monoid = L.length mempty == 0
prop_nil2LL_monoid = L.unpack mempty == []

prop_tailSBB xs = not (P.null xs) ==> P.tail xs == P.pack (tail (P.unpack xs))

prop_nullBB xs = null (P.unpack xs) == P.null xs

prop_lengthBB xs = P.length xs == length1 xs
    where
        length1 ys
            | P.null ys = 0
            | otherwise = 1 + length1 (P.tail ys)

prop_lengthSBB xs = length xs == P.length (P.pack xs)

prop_indexBB xs =
  not (null xs) ==>
    forAll indices $ \i -> (xs !! i) == P.pack xs `P.index` i
  where indices = choose (0, length xs -1)

prop_unsafeIndexBB xs =
  not (null xs) ==>
    forAll indices $ \i -> (xs !! i) == P.pack xs `P.unsafeIndex` i
  where indices = choose (0, length xs -1)

prop_mapfusionBB f g xs = P.map f (P.map g xs) == P.map (f . g) xs

prop_filterBB f xs = P.filter f (P.pack xs) == P.pack (filter f xs)

prop_filterfusionBB f g xs = P.filter f (P.filter g xs) == P.filter (\c -> f c && g c) xs

prop_elemSBB x xs = P.elem x (P.pack xs) == elem x xs

prop_takeSBB i xs = P.take i (P.pack xs) == P.pack (take i xs)
prop_dropSBB i xs = P.drop i (P.pack xs) == P.pack (drop i xs)

prop_splitAtSBB i xs = -- collect (i >= 0 && i < length xs) $
    P.splitAt i (P.pack xs) ==
    let (a,b) = splitAt i xs in (P.pack a, P.pack b)

prop_foldlBB f c xs = P.foldl f c (P.pack xs) == foldl f c xs
  where _ = c :: Char

prop_scanlfoldlBB f z xs = not (P.null xs) ==> P.last (P.scanl f z xs) == P.foldl f z xs

prop_foldrBB f c xs = P.foldl f c (P.pack xs) == foldl f c xs
  where _ = c :: Char

prop_takeWhileSBB f xs = P.takeWhile f (P.pack xs) == P.pack (takeWhile f xs)
prop_dropWhileSBB f xs = P.dropWhile f (P.pack xs) == P.pack (dropWhile f xs)

prop_spanSBB f xs = P.span f (P.pack xs) ==
    let (a,b) = span f xs in (P.pack a, P.pack b)

prop_breakSBB f xs = P.break f (P.pack xs) ==
    let (a,b) = break f xs in (P.pack a, P.pack b)

prop_breakspan_1BB xs c = P.break (== c) xs == P.span (/= c) xs

prop_linesSBB xs = C.lines (C.pack xs) == map C.pack (lines xs)

prop_unlinesSBB xss = C.unlines (map C.pack xss) == C.pack (unlines xss)

prop_wordsSBB xs =
    C.words (C.pack xs) == map C.pack (words xs)

prop_wordsLC xs =
    LC.words (LC.pack xs) == map LC.pack (words xs)

prop_unwordsSBB xss = C.unwords (map C.pack xss) == C.pack (unwords xss)
prop_unwordsSLC xss = LC.unwords (map LC.pack xss) == LC.pack (unwords xss)

prop_splitWithBB f xs = (l1 == l2 || l1 == l2+1) &&
        sum (map P.length splits) == P.length xs - l2
  where splits = P.splitWith f xs
        l1 = length splits
        l2 = P.length (P.filter f xs)

prop_joinsplitBB c xs = P.intercalate (P.pack [c]) (P.split c xs) == xs

prop_intercalatePL c x y =

    P.intercalate (P.singleton c) (x : y : []) ==
 --     intercalate (singleton c) (s1 : s2 : [])

    P.pack (intercalate [c] [P.unpack x,P.unpack y])

-- prop_linessplitBB xs =
--     (not . C.null) xs ==>
--     C.lines' xs == C.split '\n' xs

-- false:
{-
prop_linessplit2BB xs =
   (not . C.null) xs ==>
    C.lines xs == C.split '\n' xs ++ (if C.last xs == '\n' then [C.empty] else [])
-}

prop_splitsplitWithBB c xs = P.split c xs == P.splitWith (== c) xs

prop_bijectionBB  c = (P.w2c . P.c2w) c == id c
prop_bijectionBB' w = (P.c2w . P.w2c) w == id w

prop_packunpackBB  s = (P.unpack . P.pack) s == id s
prop_packunpackBB' s = (P.pack . P.unpack) s == id s

prop_eq1BB xs      = xs            == (P.unpack . P.pack $ xs)
prop_eq2BB xs      = xs == (xs :: P.ByteString)
prop_eq3BB xs ys   = (xs == ys) == (P.unpack xs == P.unpack ys)

prop_compare1BB xs  = (P.pack xs         `compare` P.pack xs) == EQ
prop_compare2BB xs c = (P.pack (xs++[c]) `compare` P.pack xs) == GT
prop_compare3BB xs c = (P.pack xs `compare` P.pack (xs++[c])) == LT

prop_compare4BB xs  = (not (null xs)) ==> (P.pack xs  `compare` P.empty) == GT
prop_compare5BB xs  = (not (null xs)) ==> (P.empty `compare` P.pack xs) == LT
prop_compare6BB xs ys= (not (null ys)) ==> (P.pack (xs++ys)  `compare` P.pack xs) == GT

prop_compare7BB x  y = x `compare` y == (C.singleton x `compare` C.singleton y)
prop_compare8BB xs ys = xs `compare` ys == (P.pack xs `compare` P.pack ys)

prop_consBB  c xs = P.unpack (P.cons c (P.pack xs)) == (c:xs)
prop_cons1BB xs   = 'X' : xs == C.unpack ('X' `C.cons` (C.pack xs))
prop_cons2BB xs c = c : xs == P.unpack (c `P.cons` (P.pack xs))
prop_cons3BB c    = C.unpack (C.singleton c) == (c:[])
prop_cons4BB c    = (c `P.cons` P.empty)  == P.pack (c:[])

prop_snoc1BB xs c = xs ++ [c] == P.unpack ((P.pack xs) `P.snoc` c)

prop_head1BB xs     = (not (null xs)) ==> head  xs  == (P.head . P.pack) xs
prop_head2BB xs    = (not (null xs)) ==> head xs   == (P.unsafeHead . P.pack) xs
prop_head3BB xs    = not (P.null xs) ==> P.head xs == head (P.unpack xs)

prop_tailBB xs     = (not (null xs)) ==> tail xs    == (P.unpack . P.tail . P.pack) xs
prop_tail1BB xs    = (not (null xs)) ==> tail xs    == (P.unpack . P.unsafeTail. P.pack) xs

prop_lastBB xs     = (not (null xs)) ==> last xs    == (P.last . P.pack) xs
prop_last1BB xs    = (not (null xs)) ==> last xs    == (P.unsafeLast . P.pack) xs

prop_initBB xs     =
    (not (null xs)) ==>
    init xs    == (P.unpack . P.init . P.pack) xs
prop_init1BB xs     =
    (not (null xs)) ==>
    init xs    == (P.unpack . P.unsafeInit . P.pack) xs

-- prop_null xs = (null xs) ==> null xs == (nullPS (pack xs))

prop_append1BB xs    = (xs ++ xs) == (P.unpack $ P.pack xs `P.append` P.pack xs)
prop_append2BB xs ys = (xs ++ ys) == (P.unpack $ P.pack xs `P.append` P.pack ys)
prop_append3BB xs ys = P.append xs ys == P.pack (P.unpack xs ++ P.unpack ys)

prop_append1BB_monoid xs    = (xs ++ xs) == (P.unpack $ P.pack xs `mappend` P.pack xs)
prop_append2BB_monoid xs ys = (xs ++ ys) == (P.unpack $ P.pack xs `mappend` P.pack ys)
prop_append3BB_monoid xs ys = mappend xs ys == P.pack (P.unpack xs ++ P.unpack ys)

prop_append1LL_monoid xs    = (xs ++ xs) == (L.unpack $ L.pack xs `mappend` L.pack xs)
prop_append2LL_monoid xs ys = (xs ++ ys) == (L.unpack $ L.pack xs `mappend` L.pack ys)
prop_append3LL_monoid xs ys = mappend xs ys == L.pack (L.unpack xs ++ L.unpack ys)

prop_map1BB f xs   = P.map f (P.pack xs)    == P.pack (map f xs)
prop_map2BB f g xs = P.map f (P.map g xs) == P.map (f . g) xs
prop_map3BB f xs   = map f xs == (P.unpack . P.map f .  P.pack) xs
-- prop_mapBB' f xs   = P.map' f (P.pack xs) == P.pack (map f xs)

prop_filter1BB xs   = (filter (=='X') xs) == (C.unpack $ C.filter (=='X') (C.pack xs))
prop_filter2BB p xs = (filter p xs) == (P.unpack $ P.filter p (P.pack xs))

prop_findBB p xs = find p xs == P.find p (P.pack xs)

prop_find_findIndexBB p xs =
    P.find p xs == case P.findIndex p xs of
                                Just n -> Just (xs `P.unsafeIndex` n)
                                _      -> Nothing

prop_foldl1BB xs a = ((foldl (\x c -> if c == a then x else c:x) [] xs)) ==
                   (P.unpack $ P.foldl (\x c -> if c == a then x else c `P.cons` x) P.empty (P.pack xs))
prop_foldl2BB xs = P.foldl (\xs c -> c `P.cons` xs) P.empty (P.pack xs) == P.reverse (P.pack xs)

prop_foldr1BB xs a = ((foldr (\c x -> if c == a then x else c:x) [] xs)) ==
                (P.unpack $ P.foldr (\c x -> if c == a then x else c `P.cons` x)
                    P.empty (P.pack xs))

prop_foldr2BB xs = P.foldr (\c xs -> c `P.cons` xs) P.empty (P.pack xs) == (P.pack xs)

prop_foldl1_1BB xs =
    (not . P.null) xs ==>
    P.foldl1 (\x c -> if c > x then c else x)   xs ==
    P.foldl  (\x c -> if c > x then c else x) 0 xs

prop_foldl1_2BB xs =
    (not . P.null) xs ==>
    P.foldl1 const xs == P.head xs

prop_foldl1_3BB xs =
    (not . P.null) xs ==>
    P.foldl1 (flip const) xs == P.last xs

prop_foldr1_1BB xs =
    (not . P.null) xs ==>
    P.foldr1 (\c x -> if c > x then c else x)   xs ==
    P.foldr  (\c x -> if c > x then c else x) 0 xs

prop_foldr1_2BB xs =
    (not . P.null) xs ==>
    P.foldr1 (flip const) xs == P.last xs

prop_foldr1_3BB xs =
    (not . P.null) xs ==>
    P.foldr1 const xs == P.head xs

prop_takeWhileBB xs a = (takeWhile (/= a) xs) == (P.unpack . (P.takeWhile (/= a)) . P.pack) xs

prop_dropWhileBB xs a = (dropWhile (/= a) xs) == (P.unpack . (P.dropWhile (/= a)) . P.pack) xs

prop_dropWhileCC_isSpace xs =
        (dropWhile isSpace xs) ==
       (C.unpack .  (C.dropWhile isSpace) . C.pack) xs

prop_takeBB xs = (take 10 xs) == (P.unpack . (P.take 10) . P.pack) xs

prop_dropBB xs = (drop 10 xs) == (P.unpack . (P.drop 10) . P.pack) xs

prop_splitAtBB i xs = -- collect (i >= 0 && i < length xs) $
    splitAt i xs ==
    let (x,y) = P.splitAt i (P.pack xs) in (P.unpack x, P.unpack y)

prop_spanBB xs a = (span (/=a) xs) == (let (x,y) = P.span (/=a) (P.pack xs)
                                     in (P.unpack x, P.unpack y))

prop_breakBB xs a = (break (/=a) xs) == (let (x,y) = P.break (/=a) (P.pack xs)
                                       in (P.unpack x, P.unpack y))

prop_reverse1BB xs = (reverse xs) == (P.unpack . P.reverse . P.pack) xs
prop_reverse2BB xs = P.reverse (P.pack xs) == P.pack (reverse xs)
prop_reverse3BB xs = reverse (P.unpack xs) == (P.unpack . P.reverse) xs

prop_elemBB xs a = (a `elem` xs) == (a `P.elem` (P.pack xs))

prop_notElemBB c xs = P.notElem c (P.pack xs) == notElem c xs

-- should try to stress it
prop_concat1BB xs = (concat [xs,xs]) == (P.unpack $ P.concat [P.pack xs, P.pack xs])
prop_concat2BB xs = (concat [xs,[]]) == (P.unpack $ P.concat [P.pack xs, P.pack []])
prop_concatBB xss = P.concat (map P.pack xss) == P.pack (concat xss)

prop_concat1BB_monoid xs = (concat [xs,xs]) == (P.unpack $ mconcat [P.pack xs, P.pack xs])
prop_concat2BB_monoid xs = (concat [xs,[]]) == (P.unpack $ mconcat [P.pack xs, P.pack []])
prop_concatBB_monoid xss = mconcat (map P.pack xss) == P.pack (concat xss)

prop_concat1LL_monoid xs = (concat [xs,xs]) == (L.unpack $ mconcat [L.pack xs, L.pack xs])
prop_concat2LL_monoid xs = (concat [xs,[]]) == (L.unpack $ mconcat [L.pack xs, L.pack []])
prop_concatLL_monoid xss = mconcat (map L.pack xss) == L.pack (concat xss)

prop_concatMapBB xs = C.concatMap C.singleton xs == (C.pack . concatMap (:[]) . C.unpack) xs

prop_anyBB xs a = (any (== a) xs) == (P.any (== a) (P.pack xs))
prop_allBB xs a = (all (== a) xs) == (P.all (== a) (P.pack xs))

prop_linesBB xs = (lines xs) == ((map C.unpack) . C.lines . C.pack) xs

prop_unlinesBB xs = (unlines.lines) xs == (C.unpack. C.unlines . C.lines .C.pack) xs
prop_unlinesLC xs = (unlines.lines) xs == (LC.unpack. LC.unlines .  LC.lines .LC.pack) xs

prop_wordsBB xs =
    (words xs) == ((map C.unpack) . C.words . C.pack) xs
-- prop_wordstokensBB xs = C.words xs == C.tokens isSpace xs

prop_unwordsBB xs =
    (C.pack.unwords.words) xs == (C.unwords . C.words .C.pack) xs

prop_groupBB xs   = group xs == (map P.unpack . P.group . P.pack) xs

prop_groupByBB  xs = groupBy (==) xs == (map P.unpack . P.groupBy (==) . P.pack) xs
prop_groupBy1CC xs = groupBy (==) xs == (map C.unpack . C.groupBy (==) . C.pack) xs
prop_groupBy1BB xs = groupBy (/=) xs == (map P.unpack . P.groupBy (/=) . P.pack) xs
prop_groupBy2CC xs = groupBy (/=) xs == (map C.unpack . C.groupBy (/=) . C.pack) xs

prop_joinBB xs ys = (concat . (intersperse ys) . lines) xs ==
               (C.unpack $ C.intercalate (C.pack ys) (C.lines (C.pack xs)))

prop_elemIndex1BB xs   = (elemIndex 'X' xs) == (C.elemIndex 'X' (C.pack xs))
prop_elemIndex2BB xs c = (elemIndex c xs) == (C.elemIndex c (C.pack xs))

-- prop_lineIndices1BB xs = C.elemIndices '\n' xs == C.lineIndices xs

prop_countBB c xs = length (P.elemIndices c xs) == P.count c xs

prop_elemIndexEnd1BB c xs = (P.elemIndexEnd c (P.pack xs)) ==
                           (case P.elemIndex c (P.pack (reverse xs)) of
                                Nothing -> Nothing
                                Just i  -> Just (length xs -1 -i))

prop_elemIndexEnd1CC c xs = (C.elemIndexEnd c (C.pack xs)) ==
                           (case C.elemIndex c (C.pack (reverse xs)) of
                                Nothing -> Nothing
                                Just i  -> Just (length xs -1 -i))

prop_elemIndexEnd2BB c xs = (P.elemIndexEnd c (P.pack xs)) ==
                           ((-) (length xs - 1) `fmap` P.elemIndex c (P.pack $ reverse xs))

prop_elemIndexEnd1LL c xs = (L.elemIndexEnd c (L.pack xs)) ==
                           (case L.elemIndex c (L.pack (reverse xs)) of
                                Nothing -> Nothing
                                Just i  -> Just (fromIntegral (length xs) -1 -i))

prop_elemIndexEnd2LL c xs = (L.elemIndexEnd c (L.pack xs)) ==
                           ((-) (fromIntegral (length xs) - 1) `fmap` L.elemIndex c (L.pack $ reverse xs))

prop_elemIndicesBB xs c = elemIndices c xs == P.elemIndices c (P.pack xs)

prop_findIndexBB xs a = (findIndex (==a) xs) == (P.findIndex (==a) (P.pack xs))

prop_findIndiciesBB xs c = (findIndices (==c) xs) == (P.findIndices (==c) (P.pack xs))

-- example properties from QuickCheck.Batch
prop_sort1BB xs = sort xs == (P.unpack . P.sort . P.pack) xs
prop_sort2BB xs = (not (null xs)) ==> (P.head . P.sort . P.pack $ xs) == minimum xs
prop_sort3BB xs = (not (null xs)) ==> (P.last . P.sort . P.pack $ xs) == maximum xs
prop_sort4BB xs ys =
        (not (null xs)) ==>
        (not (null ys)) ==>
        (P.head . P.sort) (P.append (P.pack xs) (P.pack ys)) == min (minimum xs) (minimum ys)
prop_sort5BB xs ys =
        (not (null xs)) ==>
        (not (null ys)) ==>
        (P.last . P.sort) (P.append (P.pack xs) (P.pack ys)) == max (maximum xs) (maximum ys)

prop_intersperseBB c xs = (intersperse c xs) == (P.unpack $ P.intersperse c (P.pack xs))

-- prop_transposeBB xs = (transpose xs) == ((map P.unpack) . P.transpose .  (map P.pack)) xs

prop_maximumBB xs = (not (null xs)) ==> (maximum xs) == (P.maximum ( P.pack xs ))
prop_minimumBB xs = (not (null xs)) ==> (minimum xs) == (P.minimum ( P.pack xs ))

-- prop_dropSpaceBB xs    = dropWhile isSpace xs == C.unpack (C.dropSpace (C.pack xs))
-- prop_dropSpaceEndBB xs = (C.reverse . (C.dropWhile isSpace) . C.reverse) (C.pack xs) ==
--                        (C.dropSpaceEnd (C.pack xs))

-- prop_breakSpaceBB xs =
--     (let (x,y) = C.breakSpace (C.pack xs)
--      in (C.unpack x, C.unpack y)) == (break isSpace xs)

prop_spanEndBB xs =
        (C.spanEnd (not . isSpace) (C.pack xs)) ==
        (let (x,y) = C.span (not.isSpace) (C.reverse (C.pack xs)) in (C.reverse y,C.reverse x))

prop_breakEndBB p xs = P.breakEnd (not.p) xs == P.spanEnd p xs
prop_breakEndCC p xs = C.breakEnd (not.p) xs == C.spanEnd p xs

{-
prop_breakCharBB c xs =
        (break (==c) xs) ==
        (let (x,y) = C.breakChar c (C.pack xs) in (C.unpack x, C.unpack y))

prop_spanCharBB c xs =
        (break (/=c) xs) ==
        (let (x,y) = C.spanChar c (C.pack xs) in (C.unpack x, C.unpack y))

prop_spanChar_1BB c xs =
        (C.span (==c) xs) == C.spanChar c xs

prop_wordsBB' xs =
    (C.unpack . C.unwords  . C.words' . C.pack) xs ==
    (map (\c -> if isSpace c then ' ' else c) xs)

-- prop_linesBB' xs = (C.unpack . C.unlines' . C.lines' . C.pack) xs == (xs)
-}

prop_unfoldrBB c =
    forAll arbitrarySizedIntegral $ \n ->
      (fst $ C.unfoldrN n fn c) == (C.pack $ take n $ unfoldr fn c)
  where
    fn x = Just (x, chr (ord x + 1))

prop_prefixBB xs ys = isPrefixOf xs ys == (P.pack xs `P.isPrefixOf` P.pack ys)
prop_suffixBB xs ys = isSuffixOf xs ys == (P.pack xs `P.isSuffixOf` P.pack ys)
prop_suffixLL xs ys = isSuffixOf xs ys == (L.pack xs `L.isSuffixOf` L.pack ys)

prop_copyBB xs = let p = P.pack xs in P.copy p == p
prop_copyLL xs = let p = L.pack xs in L.copy p == p

prop_initsBB xs = inits xs == map P.unpack (P.inits (P.pack xs))

prop_tailsBB xs = tails xs == map P.unpack (P.tails (P.pack xs))

prop_findSubstringsBB s x l
    = C.findSubstrings (C.pack p) (C.pack s) == naive_findSubstrings p s
  where
    _ = l :: Int
    _ = x :: Int

    -- we look for some random substring of the test string
    p = take (model l) $ drop (model x) s

    -- naive reference implementation
    naive_findSubstrings :: String -> String -> [Int]
    naive_findSubstrings p s = [x | x <- [0..length s], p `isPrefixOf` drop x s]

prop_findSubstringBB s x l
    = C.findSubstring (C.pack p) (C.pack s) == naive_findSubstring p s
  where
    _ = l :: Int
    _ = x :: Int

    -- we look for some random substring of the test string
    p = take (model l) $ drop (model x) s

    -- naive reference implementation
    naive_findSubstring :: String -> String -> Maybe Int
    naive_findSubstring p s = listToMaybe [x | x <- [0..length s], p `isPrefixOf` drop x s]

-- correspondance between break and breakSubstring
prop_breakSubstringBB c l
    = P.break (== c) l == P.breakSubstring (P.singleton c) l

prop_breakSubstring_isInfixOf s l
    = P.isInfixOf s l == if P.null s then True
                                     else case P.breakSubstring s l of
                                            (x,y) | P.null y  -> False
                                                  | otherwise -> True

prop_breakSubstring_findSubstring s l
    = P.findSubstring s l == if P.null s then Just 0
                                       else case P.breakSubstring s l of
                                            (x,y) | P.null y  -> Nothing
                                                  | otherwise -> Just (P.length x)

prop_replicate1BB c = forAll arbitrarySizedIntegral $ \n ->
                      P.unpack (P.replicate n c) == replicate n c
prop_replicate2BB c = forAll arbitrarySizedIntegral $ \n ->
                      P.replicate n c == fst (P.unfoldrN n (\u -> Just (u,u)) c)

prop_replicate3BB c = P.unpack (P.replicate 0 c) == replicate 0 c

prop_readintBB n = (fst . fromJust . C.readInt . C.pack . show) n == (n :: Int)
prop_readintLL n = (fst . fromJust . D.readInt . D.pack . show) n == (n :: Int)

prop_readBB x = (read . show) x == (x :: P.ByteString)
prop_readLL x = (read . show) x == (x :: L.ByteString)

prop_readint2BB s =
    let s' = filter (\c -> c `notElem` ['0'..'9']) s
    in C.readInt (C.pack s') == Nothing

prop_readintegerBB n = (fst . fromJust . C.readInteger . C.pack . show) n == (n :: Integer)
prop_readintegerLL n = (fst . fromJust . D.readInteger . D.pack . show) n == (n :: Integer)

prop_readinteger2BB s =
    let s' = filter (\c -> c `notElem` ['0'..'9']) s
    in C.readInteger (C.pack s') == Nothing

-- prop_filterChar1BB c xs = (filter (==c) xs) == ((C.unpack . C.filterChar c . C.pack) xs)
-- prop_filterChar2BB c xs = (C.filter (==c) (C.pack xs)) == (C.filterChar c (C.pack xs))
-- prop_filterChar3BB c xs = C.filterChar c xs == C.replicate (C.count c xs) c

-- prop_filterNotChar1BB c xs = (filter (/=c) xs) == ((C.unpack . C.filterNotChar c . C.pack) xs)
-- prop_filterNotChar2BB c xs = (C.filter (/=c) (C.pack xs)) == (C.filterNotChar c (C.pack xs))

-- prop_joinjoinpathBB xs ys c = C.joinWithChar c xs ys == C.join (C.singleton c) [xs,ys]

prop_zipBB  xs ys = zip xs ys == P.zip (P.pack xs) (P.pack ys)
prop_zipLC  xs ys = zip xs ys == LC.zip (LC.pack xs) (LC.pack ys)
prop_zip1BB xs ys = P.zip xs ys == zip (P.unpack xs) (P.unpack ys)

prop_zipWithBB xs ys = P.zipWith (,) xs ys == P.zip xs ys
prop_zipWithCC xs ys = C.zipWith (,) xs ys == C.zip xs ys
prop_zipWithLC xs ys = LC.zipWith (,) xs ys == LC.zip xs ys
-- prop_zipWith'BB xs ys = P.pack (P.zipWith (+) xs ys) == P.zipWith' (+) xs ys

prop_unzipBB x = let (xs,ys) = unzip x in (P.pack xs, P.pack ys) == P.unzip x


-- prop_zipwith_spec f p q =
--   P.pack (P.zipWith f p q) == P.zipWith' f p q
--   where _ = f :: Word8 -> Word8 -> Word8

-- prop_join_spec c s1 s2 =
--  P.join (P.singleton c) (s1 : s2 : []) == P.joinWithByte c s1 s2

-- prop_break_spec x s =
--     P.break ((==) x) s == P.breakByte x s

-- prop_span_spec x s =
--     P.span ((==) x) s == P.spanByte x s

------------------------------------------------------------------------

-- Test IsString, Show, Read, pack, unpack
prop_isstring x = C.unpack (fromString x :: C.ByteString) == x
prop_isstring_lc x = LC.unpack (fromString x :: LC.ByteString) == x

prop_showP1 x = show x == show (C.unpack x)
prop_showL1 x = show x == show (LC.unpack x)

prop_readP1 x = read (show x) == (x :: P.ByteString)
prop_readP2 x = read (show x) == C.pack (x :: String)

prop_readL1 x = read (show x) == (x :: L.ByteString)
prop_readL2 x = read (show x) == LC.pack (x :: String)

prop_packunpack_s x = (P.unpack . P.pack) x == x
prop_unpackpack_s x = (P.pack . P.unpack) x == x

prop_packunpack_c x = (C.unpack . C.pack) x == x
prop_unpackpack_c x = (C.pack . C.unpack) x == x

prop_packunpack_l x = (L.unpack . L.pack) x == x
prop_unpackpack_l x = (L.pack . L.unpack) x == x

prop_packunpack_lc x = (LC.unpack . LC.pack) x == x
prop_unpackpack_lc x = (LC.pack . LC.unpack) x == x

prop_toFromChunks x = (L.fromChunks . L.toChunks) x == x
prop_fromToChunks x = (L.toChunks . L.fromChunks) x == filter (not . P.null) x

prop_toFromStrict x = (L.fromStrict . L.toStrict) x == x
prop_fromToStrict x = (L.toStrict . L.fromStrict) x == x

prop_packUptoLenBytes cs =
    forAll (choose (0, length cs + 1)) $ \n ->
      let (bs, cs') = P.packUptoLenBytes n cs
       in P.length bs == min n (length cs)
       && take n cs == P.unpack bs
       && P.pack (take n cs) == bs
       && drop n cs == cs'

prop_packUptoLenChars cs =
    forAll (choose (0, length cs + 1)) $ \n ->
      let (bs, cs') = P.packUptoLenChars n cs
       in P.length bs == min n (length cs)
       && take n cs == C.unpack bs
       && C.pack (take n cs) == bs
       && drop n cs == cs'

prop_unpack_s cs =
    forAll (choose (0, length cs)) $ \n ->
      P.unpack (P.drop n $ P.pack cs) == drop n cs
prop_unpack_c cs =
    forAll (choose (0, length cs)) $ \n ->
      C.unpack (C.drop n $ C.pack cs) == drop n cs

prop_unpack_l  cs =
    forAll (choose (0, length cs)) $ \n ->
      L.unpack (L.drop (fromIntegral n) $ L.pack cs) == drop n cs
prop_unpack_lc cs =
    forAll (choose (0, length cs)) $ \n ->
      LC.unpack (L.drop (fromIntegral n) $ LC.pack cs) == drop n cs

prop_unpackBytes cs =
    forAll (choose (0, length cs)) $ \n ->
      P.unpackBytes (P.drop n $ P.pack cs) == drop n cs
prop_unpackChars cs =
    forAll (choose (0, length cs)) $ \n ->
      P.unpackChars (P.drop n $ C.pack cs) == drop n cs

prop_unpackBytes_l =
    forAll (sized $ \n -> resize (n * 10) arbitrary) $ \cs ->
    forAll (choose (0, length cs)) $ \n ->
      L.unpackBytes (L.drop (fromIntegral n) $ L.pack cs) == drop n cs
prop_unpackChars_l =
    forAll (sized $ \n -> resize (n * 10) arbitrary) $ \cs ->
    forAll (choose (0, length cs)) $ \n ->
      L.unpackChars (L.drop (fromIntegral n) $ LC.pack cs) == drop n cs

prop_unpackAppendBytesLazy cs' =
    forAll (sized $ \n -> resize (n * 10) arbitrary) $ \cs ->
    forAll (choose (0, 2)) $ \n ->
      P.unpackAppendBytesLazy (P.drop n $ P.pack cs) cs' == drop n cs ++ cs'
prop_unpackAppendCharsLazy cs' =
    forAll (sized $ \n -> resize (n * 10) arbitrary) $ \cs ->
    forAll (choose (0, 2)) $ \n ->
      P.unpackAppendCharsLazy (P.drop n $ C.pack cs) cs' == drop n cs ++ cs'

prop_unpackAppendBytesStrict cs cs' =
    forAll (choose (0, length cs)) $ \n ->
      P.unpackAppendBytesStrict (P.drop n $ P.pack cs) cs' == drop n cs ++ cs'

prop_unpackAppendCharsStrict cs cs' =
    forAll (choose (0, length cs)) $ \n ->
      P.unpackAppendCharsStrict (P.drop n $ C.pack cs) cs' == drop n cs ++ cs'

------------------------------------------------------------------------
-- Unsafe functions

-- Test unsafePackAddress
prop_unsafePackAddress (CByteString x) = unsafePerformIO $ do
        let (p,_,_) = P.toForeignPtr (x `P.snoc` 0)
        y <- withForeignPtr p $ \(Ptr addr) ->
            P.unsafePackAddress addr
        return (y == x)

-- Test unsafePackAddressLen
prop_unsafePackAddressLen x = unsafePerformIO $ do
        let i = P.length x
            (p,_,_) = P.toForeignPtr (x `P.snoc` 0)
        y <- withForeignPtr p $ \(Ptr addr) ->
            P.unsafePackAddressLen i addr
        return (y == x)

prop_unsafeUseAsCString x = unsafePerformIO $ do
        let n = P.length x
        y <- P.unsafeUseAsCString x $ \cstr ->
                    sequence [ do a <- peekElemOff cstr i
                                  let b = x `P.index` i
                                  return (a == fromIntegral b)
                             | i <- [0.. n-1]     ]
        return (and y)

prop_unsafeUseAsCStringLen x = unsafePerformIO $ do
        let n = P.length x
        y <- P.unsafeUseAsCStringLen x $ \(cstr,_) ->
                    sequence [ do a <- peekElemOff cstr i
                                  let b = x `P.index` i
                                  return (a == fromIntegral b)
                             | i <- [0.. n-1]     ]
        return (and y)

prop_internal_invariant x = L.invariant x

prop_useAsCString x = unsafePerformIO $ do
        let n = P.length x
        y <- P.useAsCString x $ \cstr ->
                    sequence [ do a <- peekElemOff cstr i
                                  let b = x `P.index` i
                                  return (a == fromIntegral b)
                             | i <- [0.. n-1]     ]
        return (and y)

prop_packCString (CByteString x) = unsafePerformIO $ do
        y <- P.useAsCString x $ P.unsafePackCString
        return (y == x)

prop_packCString_safe (CByteString x) = unsafePerformIO $ do
        y <- P.useAsCString x $ P.packCString
        return (y == x)

prop_packCStringLen x = unsafePerformIO $ do
        y <- P.useAsCStringLen x $ P.unsafePackCStringLen
        return (y == x && P.length y == P.length x)

prop_packCStringLen_safe x = unsafePerformIO $ do
        y <- P.useAsCStringLen x $ P.packCStringLen
        return (y == x && P.length y == P.length x)

prop_packMallocCString (CByteString x) = unsafePerformIO $ do

         let (fp,_,_) = P.toForeignPtr x
         ptr <- mallocArray0 (P.length x) :: IO (Ptr Word8)
         forM_ [0 .. P.length x] $ \n -> pokeElemOff ptr n 0
         withForeignPtr fp $ \qtr -> copyArray ptr qtr (P.length x)
         y   <- P.unsafePackMallocCString (castPtr ptr)

         let !z = y == x
         free ptr `seq` return z

prop_unsafeFinalize    x =
    P.length x > 0 ==>
      unsafePerformIO $ do
        x <- P.unsafeFinalize x
        return (x == ())

prop_packCStringFinaliser x = unsafePerformIO $ do
        y <- P.useAsCString x $ \cstr -> P.unsafePackCStringFinalizer (castPtr cstr) (P.length x) (return ())
        return (y == x)

prop_fromForeignPtr x = (let (a,b,c) = (P.toForeignPtr x)
                                in P.fromForeignPtr a b c) == x

------------------------------------------------------------------------
-- IO

prop_read_write_file_P x = unsafePerformIO $ do
    tid <- myThreadId
    let f = "qc-test-"++show tid
    bracket
        (do P.writeFile f x)
        (const $ do removeFile f)
        (const $ do y <- P.readFile f
                    return (x==y))

prop_read_write_file_C x = unsafePerformIO $ do
    tid <- myThreadId
    let f = "qc-test-"++show tid
    bracket
        (do C.writeFile f x)
        (const $ do removeFile f)
        (const $ do y <- C.readFile f
                    return (x==y))

prop_read_write_file_L x = unsafePerformIO $ do
    tid <- myThreadId
    let f = "qc-test-"++show tid
    bracket
        (do L.writeFile f x)
        (const $ do removeFile f)
        (const $ do y <- L.readFile f
                    return (x==y))

prop_read_write_file_D x = unsafePerformIO $ do
    tid <- myThreadId
    let f = "qc-test-"++show tid
    bracket
        (do D.writeFile f x)
        (const $ do removeFile f)
        (const $ do y <- D.readFile f
                    return (x==y))

------------------------------------------------------------------------

prop_append_file_P x y = unsafePerformIO $ do
    tid <- myThreadId
    let f = "qc-test-"++show tid
    bracket
        (do P.writeFile f x
            P.appendFile f y)
        (const $ do removeFile f)
        (const $ do z <- P.readFile f
                    return (z==(x `P.append` y)))

prop_append_file_C x y = unsafePerformIO $ do
    tid <- myThreadId
    let f = "qc-test-"++show tid
    bracket
        (do C.writeFile f x
            C.appendFile f y)
        (const $ do removeFile f)
        (const $ do z <- C.readFile f
                    return (z==(x `C.append` y)))

prop_append_file_L x y = unsafePerformIO $ do
    tid <- myThreadId
    let f = "qc-test-"++show tid
    bracket
        (do L.writeFile f x
            L.appendFile f y)
        (const $ do removeFile f)
        (const $ do z <- L.readFile f
                    return (z==(x `L.append` y)))

prop_append_file_D x y = unsafePerformIO $ do
    tid <- myThreadId
    let f = "qc-test-"++show tid
    bracket
        (do D.writeFile f x
            D.appendFile f y)
        (const $ do removeFile f)
        (const $ do z <- D.readFile f
                    return (z==(x `D.append` y)))

prop_packAddress = C.pack "this is a test"
            ==
                   C.pack "this is a test"

prop_isSpaceWord8 (w :: Word8) = isSpace c == P.isSpaceChar8 c
   where c = chr (fromIntegral w)


------------------------------------------------------------------------
-- ByteString.Short
--

prop_short_pack_unpack xs =
    (Short.unpack . Short.pack) xs == xs
prop_short_toShort_fromShort bs =
    (Short.fromShort . Short.toShort) bs == bs

prop_short_toShort_unpack bs =
    (Short.unpack . Short.toShort) bs == P.unpack bs
prop_short_pack_fromShort xs =
    (Short.fromShort . Short.pack) xs == P.pack xs

prop_short_empty =
    Short.empty == Short.toShort P.empty
 && Short.empty == Short.pack []
 && Short.null (Short.toShort P.empty)
 && Short.null (Short.pack [])
 && Short.null Short.empty

prop_short_null_toShort bs =
    P.null bs == Short.null (Short.toShort bs)
prop_short_null_pack xs =
    null xs == Short.null (Short.pack xs)

prop_short_length_toShort bs =
    P.length bs == Short.length (Short.toShort bs)
prop_short_length_pack xs =
    length xs == Short.length (Short.pack xs)

prop_short_index_pack xs =
    all (\i -> Short.pack xs `Short.index` i == xs !! i)
        [0 .. length xs - 1]
prop_short_index_toShort bs =
    all (\i -> Short.toShort bs `Short.index` i == bs `P.index` i)
        [0 .. P.length bs - 1]

prop_short_eq xs ys =
    (xs == ys) == (Short.pack xs == Short.pack ys)
prop_short_ord xs ys =
    (xs `compare` ys) == (Short.pack xs `compare` Short.pack ys)

prop_short_mappend_empty_empty =
    Short.empty `mappend` Short.empty  == Short.empty
prop_short_mappend_empty xs =
    Short.empty `mappend` Short.pack xs == Short.pack xs
 && Short.pack xs `mappend` Short.empty == Short.pack xs
prop_short_mappend xs ys =
    (xs `mappend` ys) == Short.unpack (Short.pack xs `mappend` Short.pack ys)
prop_short_mconcat xss =
    mconcat xss == Short.unpack (mconcat (map Short.pack xss))

prop_short_fromString s =
    fromString s == Short.fromShort (fromString s)

prop_short_show xs =
    show (Short.pack xs) == show (map P.w2c xs)
prop_short_show' xs =
    show (Short.pack xs) == show (P.pack xs)

prop_short_read xs =
    read (show (Short.pack xs)) == Short.pack xs


short_tests =
    [ testProperty "pack/unpack"              prop_short_pack_unpack
    , testProperty "toShort/fromShort"        prop_short_toShort_fromShort
    , testProperty "toShort/unpack"           prop_short_toShort_unpack
    , testProperty "pack/fromShort"           prop_short_pack_fromShort
    , testProperty "empty"                    prop_short_empty
    , testProperty "null/toShort"             prop_short_null_toShort
    , testProperty "null/pack"                prop_short_null_pack
    , testProperty "length/toShort"           prop_short_length_toShort
    , testProperty "length/pack"              prop_short_length_pack
    , testProperty "index/pack"               prop_short_index_pack
    , testProperty "index/toShort"            prop_short_index_toShort
    , testProperty "Eq"                       prop_short_eq
    , testProperty "Ord"                      prop_short_ord
    , testProperty "mappend/empty/empty"      prop_short_mappend_empty_empty
    , testProperty "mappend/empty"            prop_short_mappend_empty
    , testProperty "mappend"                  prop_short_mappend
    , testProperty "mconcat"                  prop_short_mconcat
    , testProperty "fromString"               prop_short_fromString
    , testProperty "show"                     prop_short_show
    , testProperty "show'"                    prop_short_show'
    , testProperty "read"                     prop_short_read
    ]

------------------------------------------------------------------------
-- The entry point

main :: IO ()
main = defaultMain tests

--
-- And now a list of all the properties to test.
--

tests = misc_tests
     ++ bl_tests
     ++ cc_tests
     ++ bp_tests
     ++ pl_tests
     ++ bb_tests
     ++ ll_tests
     ++ io_tests
     ++ short_tests
     ++ rules

--
-- 'morally sound' IO
--
io_tests =
    [ testProperty "readFile.writeFile" prop_read_write_file_P
    , testProperty "readFile.writeFile" prop_read_write_file_C
    , testProperty "readFile.writeFile" prop_read_write_file_L
    , testProperty "readFile.writeFile" prop_read_write_file_D

    , testProperty "appendFile        " prop_append_file_P
    , testProperty "appendFile        " prop_append_file_C
    , testProperty "appendFile        " prop_append_file_L
    , testProperty "appendFile        " prop_append_file_D

    , testProperty "packAddress       " prop_packAddress

    ]

misc_tests =
    [ testProperty "packunpack"             prop_packunpack_s
    , testProperty "unpackpack"             prop_unpackpack_s
    , testProperty "packunpack"             prop_packunpack_c
    , testProperty "unpackpack"             prop_unpackpack_c
    , testProperty "packunpack"             prop_packunpack_l
    , testProperty "unpackpack"             prop_unpackpack_l
    , testProperty "packunpack"             prop_packunpack_lc
    , testProperty "unpackpack"             prop_unpackpack_lc
    , testProperty "unpack"                 prop_unpack_s
    , testProperty "unpack"                 prop_unpack_c
    , testProperty "unpack"                 prop_unpack_l
    , testProperty "unpack"                 prop_unpack_lc
    , testProperty "packUptoLenBytes"       prop_packUptoLenBytes
    , testProperty "packUptoLenChars"       prop_packUptoLenChars
    , testProperty "unpackBytes"            prop_unpackBytes
    , testProperty "unpackChars"            prop_unpackChars
    , testProperty "unpackBytes"            prop_unpackBytes_l
    , testProperty "unpackChars"            prop_unpackChars_l
    , testProperty "unpackAppendBytesLazy"  prop_unpackAppendBytesLazy
    , testProperty "unpackAppendCharsLazy"  prop_unpackAppendCharsLazy
    , testProperty "unpackAppendBytesStrict"prop_unpackAppendBytesStrict
    , testProperty "unpackAppendCharsStrict"prop_unpackAppendCharsStrict
    , testProperty "toFromChunks"           prop_toFromChunks
    , testProperty "fromToChunks"           prop_fromToChunks
    , testProperty "toFromStrict"           prop_toFromStrict
    , testProperty "fromToStrict"           prop_fromToStrict

    , testProperty "invariant"              prop_invariant
    , testProperty "unsafe pack address"    prop_unsafePackAddress
    , testProperty "unsafe pack address len"prop_unsafePackAddressLen
    , testProperty "unsafeUseAsCString"     prop_unsafeUseAsCString
    , testProperty "unsafeUseAsCStringLen"  prop_unsafeUseAsCStringLen
    , testProperty "useAsCString"           prop_useAsCString
    , testProperty "packCString"            prop_packCString
    , testProperty "packCString safe"       prop_packCString_safe
    , testProperty "packCStringLen"         prop_packCStringLen
    , testProperty "packCStringLen safe"    prop_packCStringLen_safe
    , testProperty "packCStringFinaliser"   prop_packCStringFinaliser
    , testProperty "packMallocString"       prop_packMallocCString
    , testProperty "unsafeFinalise"         prop_unsafeFinalize
    , testProperty "invariant"              prop_internal_invariant
    , testProperty "show 1"                 prop_showP1
    , testProperty "show 2"                 prop_showL1
    , testProperty "read 1"                 prop_readP1
    , testProperty "read 2"                 prop_readP2
    , testProperty "read 3"                 prop_readL1
    , testProperty "read 4"                 prop_readL2
    , testProperty "fromForeignPtr"         prop_fromForeignPtr
    ]

------------------------------------------------------------------------
-- ByteString.Lazy <=> List

bl_tests =
    [ testProperty "all"         prop_allBL
    , testProperty "any"         prop_anyBL
    , testProperty "append"      prop_appendBL
    , testProperty "compare"     prop_compareBL
    , testProperty "concat"      prop_concatBL
    , testProperty "cons"        prop_consBL
    , testProperty "eq"          prop_eqBL
    , testProperty "filter"      prop_filterBL
    , testProperty "find"        prop_findBL
    , testProperty "findIndex"   prop_findIndexBL
    , testProperty "findIndices" prop_findIndicesBL
    , testProperty "foldl"       prop_foldlBL
    , testProperty "foldl'"      prop_foldlBL'
    , testProperty "foldl1"      prop_foldl1BL
    , testProperty "foldl1'"     prop_foldl1BL'
    , testProperty "foldr"       prop_foldrBL
    , testProperty "foldr1"      prop_foldr1BL
    , testProperty "mapAccumL"   prop_mapAccumLBL
    , testProperty "mapAccumR"   prop_mapAccumRBL
    , testProperty "mapAccumR"   prop_mapAccumRDL
    , testProperty "mapAccumR"   prop_mapAccumRCC
    , testProperty "unfoldr"     prop_unfoldrBL
    , testProperty "unfoldr"     prop_unfoldrLC
    , testProperty "unfoldr"     prop_cycleLC
    , testProperty "iterate"     prop_iterateLC
    , testProperty "iterate"     prop_iterateLC_2
    , testProperty "iterate"     prop_iterateL
    , testProperty "repeat"      prop_repeatLC
    , testProperty "repeat"      prop_repeatL
    , testProperty "head"        prop_headBL
    , testProperty "init"        prop_initBL
    , testProperty "isPrefixOf"  prop_isPrefixOfBL
    , testProperty "last"        prop_lastBL
    , testProperty "length"      prop_lengthBL
    , testProperty "map"         prop_mapBL
    , testProperty "maximum"     prop_maximumBL
    , testProperty "minimum"     prop_minimumBL
    , testProperty "null"        prop_nullBL
    , testProperty "reverse"     prop_reverseBL
    , testProperty "snoc"        prop_snocBL
    , testProperty "tail"        prop_tailBL
    , testProperty "transpose"   prop_transposeBL
    , testProperty "replicate"   prop_replicateBL
    , testProperty "take"        prop_takeBL
    , testProperty "drop"        prop_dropBL
    , testProperty "splitAt"     prop_splitAtBL
    , testProperty "takeWhile"   prop_takeWhileBL
    , testProperty "dropWhile"   prop_dropWhileBL
    , testProperty "break"       prop_breakBL
    , testProperty "span"        prop_spanBL
    , testProperty "group"       prop_groupBL
    , testProperty "groupBy"     prop_groupByBL
    , testProperty "inits"       prop_initsBL
    , testProperty "tails"       prop_tailsBL
    , testProperty "elem"        prop_elemBL
    , testProperty "notElem"     prop_notElemBL
    , testProperty "lines"       prop_linesBL
    , testProperty "elemIndex"   prop_elemIndexBL
    , testProperty "elemIndices" prop_elemIndicesBL
    , testProperty "concatMap"   prop_concatMapBL
    ]

------------------------------------------------------------------------
-- ByteString.Lazy <=> ByteString

cc_tests =
    [ testProperty "prop_concatCC"      prop_concatCC
    , testProperty "prop_nullCC"        prop_nullCC
    , testProperty "prop_reverseCC"     prop_reverseCC
    , testProperty "prop_transposeCC"   prop_transposeCC
    , testProperty "prop_groupCC"       prop_groupCC
    , testProperty "prop_groupByCC"     prop_groupByCC
    , testProperty "prop_initsCC"       prop_initsCC
    , testProperty "prop_tailsCC"       prop_tailsCC
    , testProperty "prop_allCC"         prop_allCC
    , testProperty "prop_anyCC"         prop_anyCC
    , testProperty "prop_appendCC"      prop_appendCC
    , testProperty "prop_breakCC"       prop_breakCC
    , testProperty "prop_concatMapCC"   prop_concatMapCC
    , testProperty "prop_consCC"        prop_consCC
    , testProperty "prop_consCC'"       prop_consCC'
    , testProperty "prop_unconsCC"      prop_unconsCC
    , testProperty "prop_unsnocCC"      prop_unsnocCC
    , testProperty "prop_countCC"       prop_countCC
    , testProperty "prop_dropCC"        prop_dropCC
    , testProperty "prop_dropWhileCC"   prop_dropWhileCC
    , testProperty "prop_filterCC"      prop_filterCC
    , testProperty "prop_findCC"        prop_findCC
    , testProperty "prop_findIndexCC"   prop_findIndexCC
    , testProperty "prop_findIndicesCC" prop_findIndicesCC
    , testProperty "prop_isPrefixOfCC"  prop_isPrefixOfCC
    , testProperty "prop_mapCC"         prop_mapCC
    , testProperty "prop_replicateCC"   prop_replicateCC
    , testProperty "prop_snocCC"        prop_snocCC
    , testProperty "prop_spanCC"        prop_spanCC
    , testProperty "prop_splitCC"       prop_splitCC
    , testProperty "prop_splitAtCC"     prop_splitAtCC
    , testProperty "prop_takeCC"        prop_takeCC
    , testProperty "prop_takeWhileCC"   prop_takeWhileCC
    , testProperty "prop_elemCC"        prop_elemCC
    , testProperty "prop_notElemCC"     prop_notElemCC
    , testProperty "prop_elemIndexCC"   prop_elemIndexCC
    , testProperty "prop_elemIndicesCC" prop_elemIndicesCC
    , testProperty "prop_lengthCC"      prop_lengthCC
    , testProperty "prop_headCC"        prop_headCC
    , testProperty "prop_initCC"        prop_initCC
    , testProperty "prop_lastCC"        prop_lastCC
    , testProperty "prop_maximumCC"     prop_maximumCC
    , testProperty "prop_minimumCC"     prop_minimumCC
    , testProperty "prop_tailCC"        prop_tailCC
    , testProperty "prop_foldl1CC"      prop_foldl1CC
    , testProperty "prop_foldl1CC'"     prop_foldl1CC'
    , testProperty "prop_foldr1CC"      prop_foldr1CC
    , testProperty "prop_foldr1CC'"     prop_foldr1CC'
    , testProperty "prop_scanlCC"       prop_scanlCC
    , testProperty "prop_intersperseCC" prop_intersperseCC

    , testProperty "prop_foldlCC"       prop_foldlCC
    , testProperty "prop_foldlCC'"      prop_foldlCC'
    , testProperty "prop_foldrCC"       prop_foldrCC
    , testProperty "prop_foldrCC'"      prop_foldrCC'
    , testProperty "prop_mapAccumLCC"   prop_mapAccumLCC
--    , testProperty "prop_mapIndexedCC" prop_mapIndexedCC
--    , testProperty "prop_mapIndexedPL" prop_mapIndexedPL
    ]

bp_tests =
    [ testProperty "all"         prop_allBP
    , testProperty "any"         prop_anyBP
    , testProperty "append"      prop_appendBP
    , testProperty "compare"     prop_compareBP
    , testProperty "concat"      prop_concatBP
    , testProperty "cons"        prop_consBP
    , testProperty "cons'"       prop_consBP'
    , testProperty "uncons"      prop_unconsBP
    , testProperty "unsnoc"      prop_unsnocBP
    , testProperty "eq"          prop_eqBP
    , testProperty "filter"      prop_filterBP
    , testProperty "find"        prop_findBP
    , testProperty "findIndex"   prop_findIndexBP
    , testProperty "findIndices" prop_findIndicesBP
    , testProperty "foldl"       prop_foldlBP
    , testProperty "foldl'"      prop_foldlBP'
    , testProperty "foldl1"      prop_foldl1BP
    , testProperty "foldl1'"     prop_foldl1BP'
    , testProperty "foldr"       prop_foldrBP
    , testProperty "foldr'"      prop_foldrBP'
    , testProperty "foldr1"      prop_foldr1BP
    , testProperty "foldr1'"     prop_foldr1BP'
    , testProperty "mapAccumL"   prop_mapAccumLBP
--  , testProperty "mapAccumL"   prop_mapAccumL_mapIndexedBP
    , testProperty "unfoldr"     prop_unfoldrBP
    , testProperty "unfoldr 2"   prop_unfoldr2BP
    , testProperty "unfoldr 2"   prop_unfoldr2CP
    , testProperty "head"        prop_headBP
    , testProperty "init"        prop_initBP
    , testProperty "isPrefixOf"  prop_isPrefixOfBP
    , testProperty "last"        prop_lastBP
    , testProperty "length"      prop_lengthBP
    , testProperty "readInt"     prop_readIntBP
    , testProperty "lines"       prop_linesBP
    , testProperty "lines \\n"   prop_linesNLBP
    , testProperty "map"         prop_mapBP
    , testProperty "maximum   "  prop_maximumBP
    , testProperty "minimum"     prop_minimumBP
    , testProperty "null"        prop_nullBP
    , testProperty "reverse"     prop_reverseBP
    , testProperty "snoc"        prop_snocBP
    , testProperty "tail"        prop_tailBP
    , testProperty "scanl"       prop_scanlBP
    , testProperty "transpose"   prop_transposeBP
    , testProperty "replicate"   prop_replicateBP
    , testProperty "take"        prop_takeBP
    , testProperty "drop"        prop_dropBP
    , testProperty "splitAt"     prop_splitAtBP
    , testProperty "takeWhile"   prop_takeWhileBP
    , testProperty "dropWhile"   prop_dropWhileBP
    , testProperty "break"       prop_breakBP
    , testProperty "span"        prop_spanBP
    , testProperty "split"       prop_splitBP
    , testProperty "count"       prop_countBP
    , testProperty "group"       prop_groupBP
    , testProperty "groupBy"     prop_groupByBP
    , testProperty "inits"       prop_initsBP
    , testProperty "tails"       prop_tailsBP
    , testProperty "elem"        prop_elemBP
    , testProperty "notElem"     prop_notElemBP
    , testProperty "elemIndex"   prop_elemIndexBP
    , testProperty "elemIndices" prop_elemIndicesBP
    , testProperty "intersperse" prop_intersperseBP
    , testProperty "concatMap"   prop_concatMapBP
    ]

------------------------------------------------------------------------
-- ByteString <=> List

pl_tests =
    [ testProperty "all"         prop_allPL
    , testProperty "any"         prop_anyPL
    , testProperty "append"      prop_appendPL
    , testProperty "compare"     prop_comparePL
    , testProperty "concat"      prop_concatPL
    , testProperty "cons"        prop_consPL
    , testProperty "eq"          prop_eqPL
    , testProperty "filter"      prop_filterPL
    , testProperty "filter rules"prop_filterPL_rule
    , testProperty "filter rules"prop_filterLC_rule
    , testProperty "partition"   prop_partitionPL
    , testProperty "partition"   prop_partitionLL
    , testProperty "find"        prop_findPL
    , testProperty "findIndex"   prop_findIndexPL
    , testProperty "findIndices" prop_findIndicesPL
    , testProperty "foldl"       prop_foldlPL
    , testProperty "foldl'"      prop_foldlPL'
    , testProperty "foldl1"      prop_foldl1PL
    , testProperty "foldl1'"     prop_foldl1PL'
    , testProperty "foldr1"      prop_foldr1PL
    , testProperty "foldr"       prop_foldrPL
    , testProperty "mapAccumL"   prop_mapAccumLPL
    , testProperty "mapAccumR"   prop_mapAccumRPL
    , testProperty "unfoldr"     prop_unfoldrPL
    , testProperty "scanl"       prop_scanlPL
    , testProperty "scanl1"      prop_scanl1PL
    , testProperty "scanl1"      prop_scanl1CL
    , testProperty "scanr"       prop_scanrCL
    , testProperty "scanr"       prop_scanrPL
    , testProperty "scanr1"      prop_scanr1PL
    , testProperty "scanr1"      prop_scanr1CL
    , testProperty "head"        prop_headPL
    , testProperty "init"        prop_initPL
    , testProperty "last"        prop_lastPL
    , testProperty "maximum"     prop_maximumPL
    , testProperty "minimum"     prop_minimumPL
    , testProperty "tail"        prop_tailPL
    , testProperty "zip"         prop_zipPL
    , testProperty "zip"         prop_zipLL
    , testProperty "zip"         prop_zipCL
    , testProperty "unzip"       prop_unzipPL
    , testProperty "unzip"       prop_unzipLL
    , testProperty "unzip"       prop_unzipCL
    , testProperty "zipWith"          prop_zipWithPL
--  , testProperty "zipWith"          prop_zipWithCL
    , testProperty "zipWith rules"   prop_zipWithPL_rules
--  , testProperty "zipWith/zipWith'" prop_zipWithPL'

    , testProperty "isPrefixOf"  prop_isPrefixOfPL
    , testProperty "isInfixOf"   prop_isInfixOfPL
    , testProperty "length"      prop_lengthPL
    , testProperty "map"         prop_mapPL
    , testProperty "null"        prop_nullPL
    , testProperty "reverse"     prop_reversePL
    , testProperty "snoc"        prop_snocPL
    , testProperty "transpose"   prop_transposePL
    , testProperty "replicate"   prop_replicatePL
    , testProperty "take"        prop_takePL
    , testProperty "drop"        prop_dropPL
    , testProperty "splitAt"     prop_splitAtPL
    , testProperty "takeWhile"   prop_takeWhilePL
    , testProperty "dropWhile"   prop_dropWhilePL
    , testProperty "break"       prop_breakPL
    , testProperty "span"        prop_spanPL
    , testProperty "group"       prop_groupPL
    , testProperty "groupBy"     prop_groupByPL
    , testProperty "inits"       prop_initsPL
    , testProperty "tails"       prop_tailsPL
    , testProperty "elem"        prop_elemPL
    , testProperty "notElem"     prop_notElemPL
    , testProperty "lines"       prop_linesPL
    , testProperty "elemIndex"   prop_elemIndexPL
    , testProperty "elemIndex"   prop_elemIndexCL
    , testProperty "elemIndices" prop_elemIndicesPL
    , testProperty "concatMap"   prop_concatMapPL
    , testProperty "IsString"    prop_isstring
    , testProperty "IsString LC" prop_isstring_lc
    ]

------------------------------------------------------------------------
-- extra ByteString properties

bb_tests =
    [ testProperty "bijection"      prop_bijectionBB
    , testProperty "bijection'"     prop_bijectionBB'
    , testProperty "pack/unpack"    prop_packunpackBB
    , testProperty "unpack/pack"    prop_packunpackBB'
    , testProperty "eq 1"           prop_eq1BB
    , testProperty "eq 2"           prop_eq2BB
    , testProperty "eq 3"           prop_eq3BB
    , testProperty "compare 1"      prop_compare1BB
    , testProperty "compare 2"      prop_compare2BB
    , testProperty "compare 3"      prop_compare3BB
    , testProperty "compare 4"      prop_compare4BB
    , testProperty "compare 5"      prop_compare5BB
    , testProperty "compare 6"      prop_compare6BB
    , testProperty "compare 7"      prop_compare7BB
    , testProperty "compare 7"      prop_compare7LL
    , testProperty "compare 8"      prop_compare8BB
    , testProperty "empty 1"        prop_nil1BB
    , testProperty "empty 2"        prop_nil2BB
    , testProperty "empty 1 monoid" prop_nil1LL_monoid
    , testProperty "empty 2 monoid" prop_nil2LL_monoid
    , testProperty "empty 1 monoid" prop_nil1BB_monoid
    , testProperty "empty 2 monoid" prop_nil2BB_monoid

    , testProperty "null"           prop_nullBB
    , testProperty "length 1"       prop_lengthBB
    , testProperty "length 2"       prop_lengthSBB
    , testProperty "cons 1"         prop_consBB
    , testProperty "cons 2"         prop_cons1BB
    , testProperty "cons 3"         prop_cons2BB
    , testProperty "cons 4"         prop_cons3BB
    , testProperty "cons 5"         prop_cons4BB
    , testProperty "snoc"           prop_snoc1BB
    , testProperty "head 1"         prop_head1BB
    , testProperty "head 2"         prop_head2BB
    , testProperty "head 3"         prop_head3BB
    , testProperty "tail"           prop_tailBB
    , testProperty "tail 1"         prop_tail1BB
    , testProperty "last"           prop_lastBB
    , testProperty "last 1"         prop_last1BB
    , testProperty "init"           prop_initBB
    , testProperty "init 1"         prop_init1BB
    , testProperty "append 1"       prop_append1BB
    , testProperty "append 2"       prop_append2BB
    , testProperty "append 3"       prop_append3BB
    , testProperty "mappend 1"      prop_append1BB_monoid
    , testProperty "mappend 2"      prop_append2BB_monoid
    , testProperty "mappend 3"      prop_append3BB_monoid

    , testProperty "map 1"          prop_map1BB
    , testProperty "map 2"          prop_map2BB
    , testProperty "map 3"          prop_map3BB
    , testProperty "filter1"        prop_filter1BB
    , testProperty "filter2"        prop_filter2BB
    , testProperty "map fusion"     prop_mapfusionBB
    , testProperty "filter fusion"  prop_filterfusionBB
    , testProperty "reverse 1"      prop_reverse1BB
    , testProperty "reverse 2"      prop_reverse2BB
    , testProperty "reverse 3"      prop_reverse3BB
    , testProperty "foldl 1"        prop_foldl1BB
    , testProperty "foldl 2"        prop_foldl2BB
    , testProperty "foldr 1"        prop_foldr1BB
    , testProperty "foldr 2"        prop_foldr2BB
    , testProperty "foldl1 1"       prop_foldl1_1BB
    , testProperty "foldl1 2"       prop_foldl1_2BB
    , testProperty "foldl1 3"       prop_foldl1_3BB
    , testProperty "foldr1 1"       prop_foldr1_1BB
    , testProperty "foldr1 2"       prop_foldr1_2BB
    , testProperty "foldr1 3"       prop_foldr1_3BB
    , testProperty "scanl/foldl"    prop_scanlfoldlBB
    , testProperty "all"            prop_allBB
    , testProperty "any"            prop_anyBB
    , testProperty "take"           prop_takeBB
    , testProperty "drop"           prop_dropBB
    , testProperty "takeWhile"      prop_takeWhileBB
    , testProperty "dropWhile"      prop_dropWhileBB
    , testProperty "dropWhile"      prop_dropWhileCC_isSpace
    , testProperty "splitAt"        prop_splitAtBB
    , testProperty "span"           prop_spanBB
    , testProperty "break"          prop_breakBB
    , testProperty "elem"           prop_elemBB
    , testProperty "notElem"        prop_notElemBB

    , testProperty "concat 1"       prop_concat1BB
    , testProperty "concat 2"       prop_concat2BB
    , testProperty "concat 3"       prop_concatBB
    , testProperty "mconcat 1"      prop_concat1BB_monoid
    , testProperty "mconcat 2"      prop_concat2BB_monoid
    , testProperty "mconcat 3"      prop_concatBB_monoid

    , testProperty "mconcat 1"      prop_concat1LL_monoid
    , testProperty "mconcat 2"      prop_concat2LL_monoid
    , testProperty "mconcat 3"      prop_concatLL_monoid

    , testProperty "lines"          prop_linesBB
    , testProperty "unlines"        prop_unlinesBB
    , testProperty "unlines"        prop_unlinesLC
    , testProperty "words"          prop_wordsBB
    , testProperty "words"          prop_wordsLC
    , testProperty "unwords"        prop_unwordsBB
    , testProperty "group"          prop_groupBB
    , testProperty "groupBy 0"      prop_groupByBB
    , testProperty "groupBy 1"      prop_groupBy1CC
    , testProperty "groupBy 2"      prop_groupBy1BB
    , testProperty "groupBy 3"      prop_groupBy2CC
    , testProperty "join"           prop_joinBB
    , testProperty "elemIndex 1"    prop_elemIndex1BB
    , testProperty "elemIndex 2"    prop_elemIndex2BB
    , testProperty "findIndex"      prop_findIndexBB
    , testProperty "findIndicies"   prop_findIndiciesBB
    , testProperty "elemIndices"    prop_elemIndicesBB
    , testProperty "find"           prop_findBB
    , testProperty "find/findIndex" prop_find_findIndexBB
    , testProperty "sort 1"         prop_sort1BB
    , testProperty "sort 2"         prop_sort2BB
    , testProperty "sort 3"         prop_sort3BB
    , testProperty "sort 4"         prop_sort4BB
    , testProperty "sort 5"         prop_sort5BB
    , testProperty "intersperse"    prop_intersperseBB
    , testProperty "maximum"        prop_maximumBB
    , testProperty "minimum"        prop_minimumBB
--  , testProperty "breakChar"      prop_breakCharBB
--  , testProperty "spanChar 1"     prop_spanCharBB
--  , testProperty "spanChar 2"     prop_spanChar_1BB
--  , testProperty "breakSpace"     prop_breakSpaceBB
--  , testProperty "dropSpace"      prop_dropSpaceBB
    , testProperty "spanEnd"        prop_spanEndBB
    , testProperty "breakEnd"       prop_breakEndBB
    , testProperty "breakEnd"       prop_breakEndCC
    , testProperty "elemIndexEnd 1" prop_elemIndexEnd1BB
    , testProperty "elemIndexEnd 1" prop_elemIndexEnd1CC
    , testProperty "elemIndexEnd 2" prop_elemIndexEnd2BB
    , testProperty "elemIndexEnd 1" prop_elemIndexEnd1LL
    , testProperty "elemIndexEnd 2" prop_elemIndexEnd2LL
--  , testProperty "words'"         prop_wordsBB'
--  , testProperty "lines'"         prop_linesBB'
--  , testProperty "dropSpaceEnd"   prop_dropSpaceEndBB
    , testProperty "unfoldr"        prop_unfoldrBB
    , testProperty "prefix"         prop_prefixBB
    , testProperty "suffix"         prop_suffixBB
    , testProperty "suffix"         prop_suffixLL
    , testProperty "copy"           prop_copyBB
    , testProperty "copy"           prop_copyLL
    , testProperty "inits"          prop_initsBB
    , testProperty "tails"          prop_tailsBB
    , testProperty "findSubstrings "prop_findSubstringsBB
    , testProperty "findSubstring "prop_findSubstringBB
    , testProperty "breakSubstring 1"prop_breakSubstringBB
    , testProperty "breakSubstring 2"prop_breakSubstring_findSubstring
    , testProperty "breakSubstring 3"prop_breakSubstring_isInfixOf

    , testProperty "replicate1"     prop_replicate1BB
    , testProperty "replicate2"     prop_replicate2BB
    , testProperty "replicate3"     prop_replicate3BB
    , testProperty "readInt"        prop_readintBB
    , testProperty "readInt 2"      prop_readint2BB
    , testProperty "readInteger"    prop_readintegerBB
    , testProperty "readInteger 2"  prop_readinteger2BB
    , testProperty "read"           prop_readLL
    , testProperty "read"           prop_readBB
    , testProperty "Lazy.readInt"   prop_readintLL
    , testProperty "Lazy.readInt"   prop_readintLL
    , testProperty "Lazy.readInteger" prop_readintegerLL
    , testProperty "mconcat 1"      prop_append1LL_monoid
    , testProperty "mconcat 2"      prop_append2LL_monoid
    , testProperty "mconcat 3"      prop_append3LL_monoid
--  , testProperty "filterChar1"    prop_filterChar1BB
--  , testProperty "filterChar2"    prop_filterChar2BB
--  , testProperty "filterChar3"    prop_filterChar3BB
--  , testProperty "filterNotChar1" prop_filterNotChar1BB
--  , testProperty "filterNotChar2" prop_filterNotChar2BB
    , testProperty "tail"           prop_tailSBB
    , testProperty "index"          prop_indexBB
    , testProperty "unsafeIndex"    prop_unsafeIndexBB
--  , testProperty "map'"           prop_mapBB'
    , testProperty "filter"         prop_filterBB
    , testProperty "elem"           prop_elemSBB
    , testProperty "take"           prop_takeSBB
    , testProperty "drop"           prop_dropSBB
    , testProperty "splitAt"        prop_splitAtSBB
    , testProperty "foldl"          prop_foldlBB
    , testProperty "foldr"          prop_foldrBB
    , testProperty "takeWhile "     prop_takeWhileSBB
    , testProperty "dropWhile "     prop_dropWhileSBB
    , testProperty "span "          prop_spanSBB
    , testProperty "break "         prop_breakSBB
    , testProperty "breakspan"      prop_breakspan_1BB
    , testProperty "lines "         prop_linesSBB
    , testProperty "unlines "       prop_unlinesSBB
    , testProperty "words "         prop_wordsSBB
    , testProperty "unwords "       prop_unwordsSBB
    , testProperty "unwords "       prop_unwordsSLC
--     , testProperty "wordstokens"    prop_wordstokensBB
    , testProperty "splitWith"      prop_splitWithBB
    , testProperty "joinsplit"      prop_joinsplitBB
    , testProperty "intercalate"    prop_intercalatePL
--     , testProperty "lineIndices"    prop_lineIndices1BB
    , testProperty "count"          prop_countBB
--  , testProperty "linessplit"     prop_linessplit2BB
    , testProperty "splitsplitWith" prop_splitsplitWithBB
--  , testProperty "joinjoinpath"   prop_joinjoinpathBB
    , testProperty "zip"            prop_zipBB
    , testProperty "zip"            prop_zipLC
    , testProperty "zip1"           prop_zip1BB
    , testProperty "zipWith"        prop_zipWithBB
    , testProperty "zipWith"        prop_zipWithCC
    , testProperty "zipWith"        prop_zipWithLC
--  , testProperty "zipWith'"       prop_zipWith'BB
    , testProperty "unzip"          prop_unzipBB
    , testProperty "concatMap"      prop_concatMapBB
--  , testProperty "join/joinByte"  prop_join_spec
--  , testProperty "span/spanByte"  prop_span_spec
--  , testProperty "break/breakByte"prop_break_spec
    ]


------------------------------------------------------------------------
-- Extra lazy properties

ll_tests =
    [ testProperty "eq 1"               prop_eq1
    , testProperty "eq 2"               prop_eq2
    , testProperty "eq 3"               prop_eq3
    , testProperty "eq refl"            prop_eq_refl
    , testProperty "eq symm"            prop_eq_symm
    , testProperty "compare 1"          prop_compare1
    , testProperty "compare 2"          prop_compare2
    , testProperty "compare 3"          prop_compare3
    , testProperty "compare 4"          prop_compare4
    , testProperty "compare 5"          prop_compare5
    , testProperty "compare 6"          prop_compare6
    , testProperty "compare 7"          prop_compare7
    , testProperty "compare 8"          prop_compare8
    , testProperty "empty 1"            prop_empty1
    , testProperty "empty 2"            prop_empty2
    , testProperty "pack/unpack"        prop_packunpack
    , testProperty "unpack/pack"        prop_unpackpack
    , testProperty "null"               prop_null
    , testProperty "length 1"           prop_length1
    , testProperty "length 2"           prop_length2
    , testProperty "cons 1"             prop_cons1
    , testProperty "cons 2"             prop_cons2
    , testProperty "cons 3"             prop_cons3
    , testProperty "cons 4"             prop_cons4
    , testProperty "snoc"               prop_snoc1
    , testProperty "head/pack"          prop_head
    , testProperty "head/unpack"        prop_head1
    , testProperty "tail/pack"          prop_tail
    , testProperty "tail/unpack"        prop_tail1
    , testProperty "last"               prop_last
    , testProperty "init"               prop_init
    , testProperty "append 1"           prop_append1
    , testProperty "append 2"           prop_append2
    , testProperty "append 3"           prop_append3
    , testProperty "map 1"              prop_map1
    , testProperty "map 2"              prop_map2
    , testProperty "map 3"              prop_map3
    , testProperty "filter 1"           prop_filter1
    , testProperty "filter 2"           prop_filter2
    , testProperty "reverse"            prop_reverse
    , testProperty "reverse1"           prop_reverse1
    , testProperty "reverse2"           prop_reverse2
    , testProperty "transpose"          prop_transpose
    , testProperty "foldl"              prop_foldl
    , testProperty "foldl/reverse"      prop_foldl_1
    , testProperty "foldr"              prop_foldr
    , testProperty "foldr/id"           prop_foldr_1
    , testProperty "foldl1/foldl"       prop_foldl1_1
    , testProperty "foldl1/head"        prop_foldl1_2
    , testProperty "foldl1/tail"        prop_foldl1_3
    , testProperty "foldr1/foldr"       prop_foldr1_1
    , testProperty "foldr1/last"        prop_foldr1_2
    , testProperty "foldr1/head"        prop_foldr1_3
    , testProperty "concat 1"           prop_concat1
    , testProperty "concat 2"           prop_concat2
    , testProperty "concat/pack"        prop_concat3
    , testProperty "any"                prop_any
    , testProperty "all"                prop_all
    , testProperty "maximum"            prop_maximum
    , testProperty "minimum"            prop_minimum
    , testProperty "replicate 1"        prop_replicate1
    , testProperty "replicate 2"        prop_replicate2
    , testProperty "take"               prop_take1
    , testProperty "drop"               prop_drop1
    , testProperty "splitAt"            prop_drop1
    , testProperty "takeWhile"          prop_takeWhile
    , testProperty "dropWhile"          prop_dropWhile
    , testProperty "break"              prop_break
    , testProperty "span"               prop_span
    , testProperty "splitAt"            prop_splitAt
    , testProperty "break/span"         prop_breakspan
--  , testProperty "break/breakByte"    prop_breakByte
--  , testProperty "span/spanByte"      prop_spanByte
    , testProperty "split"              prop_split
    , testProperty "splitWith"          prop_splitWith
    , testProperty "splitWith"          prop_splitWith_D
    , testProperty "splitWith"          prop_splitWith_C
    , testProperty "join.split/id"      prop_joinsplit
--  , testProperty "join/joinByte"      prop_joinjoinByte
    , testProperty "group"              prop_group
    , testProperty "groupBy"            prop_groupBy
    , testProperty "groupBy"            prop_groupBy_LC
    , testProperty "index"              prop_index
    , testProperty "index"              prop_index_D
    , testProperty "index"              prop_index_C
    , testProperty "elemIndex"          prop_elemIndex
    , testProperty "elemIndices"        prop_elemIndices
    , testProperty "count/elemIndices"  prop_count
    , testProperty "findIndex"          prop_findIndex
    , testProperty "findIndices"        prop_findIndicies
    , testProperty "find"               prop_find
    , testProperty "find/findIndex"     prop_find_findIndex
    , testProperty "elem"               prop_elem
    , testProperty "notElem"            prop_notElem
    , testProperty "elem/notElem"       prop_elem_notelem
--  , testProperty "filterByte 1"       prop_filterByte
--  , testProperty "filterByte 2"       prop_filterByte2
--  , testProperty "filterNotByte 1"    prop_filterNotByte
--  , testProperty "filterNotByte 2"    prop_filterNotByte2
    , testProperty "isPrefixOf"         prop_isPrefixOf
    , testProperty "concatMap"          prop_concatMap
    , testProperty "isSpace"            prop_isSpaceWord8
    ]

