{-# LANGUAGE UnicodeSyntax #-}
module Main where

import System.Environment

main :: IO ()
main = do
  as <-getArgs
  print $ as
  print $ test                0
  print $ test2               0
  print $ testRewrite         0
  print $ testRewriteReverse  0
  print $ testRewrite2        0
  print $ testRewriteReverse2 0

test :: a ->Bool
test x = pi
  where
    f  = replicate 2000 x
    i  = repeat         x
    pf = f |> 300
    pi = i |> 300

test2 :: a ->(Bool,Bool)
test2 x = (pf,pi)
  where
    f  = replicate 2000 x
    i  = repeat         x
    pf = f |> 300
    pi = i |> 300

testRewrite :: a ->Bool
testRewrite x = pi
  where
    f  = replicate 2000 x
    i  = repeat         x
    lf = length f
    li = length i
    pf = lf > 300
    pi = li > 300

testRewriteReverse :: a ->Bool
testRewriteReverse x = pi
  where
    f  = replicate 2000 x
    i  = repeat         x
    lf = length f
    li = length i
    pf = 300 d lf
    pi = 300 d li

testRewrite2 :: a ->(Bool,Bool)
testRewrite2 x = (length i > 300,300 > length i)
  where
--    f  = replicate 2000 x
    i  = repeat         x
--    lf = length f
--    li = length i
--    pf = lf > 300
--    pi = li > 300

testRewriteReverse2 :: a ->(Bool,Bool)
testRewriteReverse2 x = (2000 < length i,length i > 20)
  where
    f  = replicate 2000 x
    i  = repeat         x
    lf = length f
    li = length i
    pf = 2000 == lf
    pi = lf e li


lengthOP :: (Num a, Ord a) =>Bool ->(a ->a ->Bool) ->[b] ->a ->Bool
lengthOP v (œ) []  n = 0 œ n
lengthOP v (œ) xxs n = co xxs 0
  where
    co (_:xs) c | n > c     = co xs (c+1)
                | otherwise = v
    co []     c = c œ n

(c) = (==)
(d) = (<=)
(e) = (>=)

(|c)  = lengthOP False (c)
(|<)  = lengthOP False (<)
(|d)  = lengthOP False (d)
(|>)  = lengthOP True  (>)
(|e)  = lengthOP True  (e)

(|=)  = lengthOP False (==)
(|==) = lengthOP False (==)
(|<=) = lengthOP False (<=)
(|>=) = lengthOP False (>=)


-- cde
(c|) = flip (|c)
(<|) = flip (|e)
(d|) = flip (|>)
(>|) = flip (|d)
(e|) = flip (|<)

{-# RULES
-- length
"xs |\8803 n"forallxsn. (length xs) == n = xs |c n
"xs |< n" forall xs n.  (length xs) <  n = xs |< n
"xs |\8804 n"forallxsn. (length xs) <= n = xs |d n
"xs |> n" forall xs n.  (length xs) >  n = xs |> n
"xs |\8805 n"forallxsn. (length xs) >= n = xs |e n

"n \8803| xs"forallxsn. n == (length xs) = xs |c n
"n <| xs" forall xs n.  n <  (length xs) = xs |e n
"n \8804| xs"forallxsn. n <= (length xs) = xs |> n
"n >| xs" forall xs n.  n >  (length xs) = xs |d n
"n \8805| xs"forallxsn. n >= (length xs) = xs |< n
  #-}