我已经实现了类 POrd 和一个子字符串函数,它接受 2 个字符串并确定第一个字符串是否是第二个输入字符串的子字符串。
现在我想将 POrd 类应用到 substring 函数中,以便子字符串可以部分排序。
但是我被困在如何正确地将偏序类(POrd)应用到子字符串函数上。
class Eq a => POrd a where
pocompare :: a -> a -> Maybe Ordering
(~<), (~>), (~<=), (~>=) :: a -> a -> Bool
-- Minimal complete definition: (~<=) | pocompare
pocompare x y | x == y = Just EQ
| x ~<= y = Just LT
| y ~<= x = Just GT
| otherwise = Nothing
x ~<= y = pocompare x y == Just LT
x ~< y = x ~<= y && x /= y
x ~>= y = y ~<= x
x ~> y = x ~>= y && x /= y
substring :: Eq a => [a] -> [a] -> Bool
substring []_= True
substring _[] = False
substring p@(x:xs) (y:ys) = x == y && prefix xs ys || substring p ys
where
prefix [] _= True
prefix _[] = False
prefix (a:as) (b:bs) = a == b && prefix as bs
instance POrd a => POrd [a] where
(~<=) = substring
xs ~<= ys = substring xs ys
xs ~>= ys = substring ys xs