
A slight simplification (because I realized the weird thing I was doing
won't actually save any time):
isSuffixOf :: forall a . (Eq a) => [a] -> [a] -> Bool
[] `isSuffixOf` _ = True
needle `isSuffixOf` hay =
maybe False
(\fp -> needle == getEndChunk hay fp)
(getFrontPointer needle hay)
where
getEndChunk :: [a] -> [a] -> [a]
getEndChunk (_:hy) (_:fp) = getEndChunk hy fp
getEndChunk hy _ = hy
getFrontPointer :: [a] -> [a] -> Maybe [a]
getFrontPointer [] hy = Just hy
getFrontPointer _ [] = Nothing
getFrontPointer (_:nd) (_:hy) = getFrontPointer nd hy
I still haven't heard from anyone about the slight semantic change. To
clarify it slightly, the only aspect that could theoretically be a problem
for somebody is that this reverses the order in which the elements of the
"needle" are compared to the (length needle) elements at the end of the
"haystack". The current implementation compares them from back to front;
this one compares them from front to back. That means that if some elements
in the needle or near the end of the haystack are undefined, there are
cases where this implementation bottoms out when the current one returns
False, and vice versa.
On Oct 8, 2014 4:17 AM, "David Feuer"
Sorry, I made a bit of a mistake with eq; it's corrected below.
On Wed, Oct 8, 2014 at 4:15 AM, David Feuer
wrote: Currently, isSuffixOf is defined like this:
xs `isSuffixOf` ys = reverse xs `isPrefixOf` reverse ys
If ys is much longer than xs, this is not so wonderful, because we have to reverse the whole spine of ys. It also will fail whenever either xs *or* ys is infinite. The following implementation seems a lot saner (although longer):
isSuffixOf :: forall a . (Eq a) => [a] -> [a] -> Bool [] `isSuffixOf` _ = True needle `isSuffixOf` hay = maybe False (\fp -> needle `eq` getEndChunk hay fp) (getFrontPointer needle hay) where eq :: [a] -> [a] -> Bool (x:xs) `eq` (y:ys) = x==y && (xs `eq` ys)
_ `eq` _ = True
getEndChunk :: [a] -> [a] -> [a] getEndChunk (_:hy) (_:fp) = getEndChunk hy fp getEndChunk hy _ = hy
getFrontPointer :: [a] -> [a] -> Maybe [a] getFrontPointer [] hy = Just hy getFrontPointer _ [] = Nothing getFrontPointer (_:nd) (_:hy) = getFrontPointer nd hy
This doesn't do any of that crazy stuff, and it will work just fine if the needle is infinite. The only slightly sticky point is that it's not *strictly* lazier. In particular,
[1,2] `Data.List.isSuffixOf` [undefined, 7] = False [1,2] `isSuffixOf` [undefined, 7] = undefined
But note that
[1,2] `Data.List.isSuffixOf` [7,undefined] = undefined [1,2] `isSuffixOf` [7, undefined] = False
It would be possible to get the same kind of laziness at the end using something structured as above, but it requires some unpleasantness: instead of using
needle `eq` getEndChunk hay fp
we'd have to use
needle `backwardsEq` getEndChunk hay fp
(x:xs) `backwardsEq` (y:ys) = (xs `backwardsEq` ys) && x==y
This is yucky. My guess is that no one is relying on the current behavior, but I'd like to make sure everyone's okay with this.
David