zipEqual, zipWithEqual, zipWith3Equal, zipWith4Equal,
zipLazy, stretchZipWith,
mapAndUnzip, mapAndUnzip3,
- nOfThem, lengthExceeds, isSingleton, only,
+ nOfThem,
+ lengthExceeds, lengthIs, lengthAtLeast, listLengthCmp, atLength,
+ isSingleton, only,
snocView,
isIn, isn'tIn,
-- accumulating
mapAccumL, mapAccumR, mapAccumB,
foldl2, count,
+
+ takeList, dropList, splitAtList,
-- comparisons
- eqListBy, thenCmp, cmpList, prefixMatch, suffixMatch,
+ eqListBy, equalLength, compareLength,
+ thenCmp, cmpList, prefixMatch, suffixMatch,
-- strictness
foldl', seqList,
nOfThem :: Int -> a -> [a]
nOfThem n thing = replicate n thing
+-- 'atLength atLen atEnd ls n' unravels list 'ls' to position 'n';
+-- specification:
+--
+-- atLength atLenPred atEndPred ls n
+-- | n < 0 = atLenPred n
+-- | length ls < n = atEndPred (n - length ls)
+-- | otherwise = atLenPred (drop n ls)
+--
+atLength :: ([a] -> b)
+ -> (Int -> b)
+ -> [a]
+ -> Int
+ -> b
+atLength atLenPred atEndPred ls n
+ | n < 0 = atEndPred n
+ | otherwise = go n ls
+ where
+ go n [] = atEndPred n
+ go 0 ls = atLenPred ls
+ go n (_:xs) = go (n-1) xs
+
+-- special cases.
lengthExceeds :: [a] -> Int -> Bool
--- (lengthExceeds xs n) is True if length xs > n
-(x:xs) `lengthExceeds` n = n < 1 || xs `lengthExceeds` (n - 1)
-[] `lengthExceeds` n = n < 0
+lengthExceeds = atLength (not.null) (const False)
+
+lengthAtLeast :: [a] -> Int -> Bool
+lengthAtLeast = atLength (not.null) (== 0)
+
+lengthIs :: [a] -> Int -> Bool
+lengthIs = atLength null (==0)
+
+listLengthCmp :: [a] -> Int -> Ordering
+listLengthCmp = atLength atLen atEnd
+ where
+ atEnd 0 = EQ
+ atEnd x
+ | x > 0 = LT -- not yet seen 'n' elts, so list length is < n.
+ | otherwise = GT
+
+ atLen [] = EQ
+ atLen _ = GT
isSingleton :: [a] -> Bool
isSingleton [x] = True
| otherwise = count p xs
\end{code}
+@splitAt@, @take@, and @drop@ but with length of another
+list giving the break-off point:
+
+\begin{code}
+takeList :: [b] -> [a] -> [a]
+takeList [] _ = []
+takeList (_:xs) ls =
+ case ls of
+ [] -> []
+ (y:ys) -> y : takeList xs ys
+
+dropList :: [b] -> [a] -> [a]
+dropList [] xs = xs
+dropList _ xs@[] = xs
+dropList (_:xs) (_:ys) = dropList xs ys
+
+
+splitAtList :: [b] -> [a] -> ([a], [a])
+splitAtList [] xs = ([], xs)
+splitAtList _ xs@[] = (xs, xs)
+splitAtList (_:xs) (y:ys) = (y:ys', ys'')
+ where
+ (ys', ys'') = splitAtList xs ys
+
+\end{code}
+
%************************************************************************
%* *
eqListBy eq (x:xs) (y:ys) = eq x y && eqListBy eq xs ys
eqListBy eq xs ys = False
+equalLength :: [a] -> [b] -> Bool
+equalLength [] [] = True
+equalLength (_:xs) (_:ys) = equalLength xs ys
+equalLength xs ys = False
+
+compareLength :: [a] -> [b] -> Ordering
+compareLength [] [] = EQ
+compareLength (_:xs) (_:ys) = compareLength xs ys
+compareLength [] _ys = LT
+compareLength _xs [] = GT
+
thenCmp :: Ordering -> Ordering -> Ordering
{-# INLINE thenCmp #-}
thenCmp EQ any = any