Safe Haskell | None |
---|---|
Language | Haskell2010 |
- data CSeq a
- cseq :: Seq a -> a -> Seq a -> CSeq a
- singleton :: a -> CSeq a
- fromNonEmpty :: NonEmpty a -> CSeq a
- fromList :: [a] -> CSeq a
- focus :: CSeq a -> a
- index :: CSeq a -> Int -> a
- adjust :: (a -> a) -> Int -> CSeq a -> CSeq a
- item :: Int -> Lens' (CSeq a) a
- rotateL :: CSeq a -> CSeq a
- rotateR :: CSeq a -> CSeq a
- rotateNL :: Int -> CSeq a -> CSeq a
- rotateNR :: Int -> CSeq a -> CSeq a
- rightElements :: CSeq a -> Seq a
- leftElements :: CSeq a -> Seq a
- asSeq :: CSeq a -> Seq a
- reverseDirection :: CSeq a -> CSeq a
- allRotations :: CSeq a -> CSeq (CSeq a)
- findRotateTo :: (a -> Bool) -> CSeq a -> Maybe (CSeq a)
- rotateTo :: Eq a => a -> CSeq a -> Maybe (CSeq a)
Documentation
Nonempty circular sequence
fromNonEmpty :: NonEmpty a -> CSeq a Source
builds a CSeq
index :: CSeq a -> Int -> a Source
Access the i^th item (w.r.t the focus) in the CSeq (indices modulo n).
running time: $O(log (i mod n))$
>>>
index (fromList [0..5]) 1
1>>>
index (fromList [0..5]) 2
2>>>
index (fromList [0..5]) 5
5>>>
index (fromList [0..5]) 10
4>>>
index (fromList [0..5]) 6
0>>>
index (fromList [0..5]) (-1)
5>>>
index (fromList [0..5]) (-6)
0
adjust :: (a -> a) -> Int -> CSeq a -> CSeq a Source
Adjusts the i^th element w.r.t the focus in the CSeq
running time: $O(log (i mod n))$
>>>
adjust (const 1000) 2 (fromList [0..5])
CSeq [0,1,1000,3,4,5]
rotateL :: CSeq a -> CSeq a Source
rotates the focus to the left
running time: O(1) (amortized)
>>>
rotateL $ fromList [3,4,5,1,2]
CSeq [2,3,4,5,1]>>>
mapM_ print . take 5 $ iterate rotateL $ fromList [1..5]
CSeq [1,2,3,4,5] CSeq [5,1,2,3,4] CSeq [4,5,1,2,3] CSeq [3,4,5,1,2] CSeq [2,3,4,5,1]
rotateR :: CSeq a -> CSeq a Source
rotates one to the right
running time: O(1) (amortized)
>>>
rotateR $ fromList [3,4,5,1,2]
CSeq [4,5,1,2,3]
rotateNL :: Int -> CSeq a -> CSeq a Source
Rotates i elements to the left.
pre: 0 <= i < n
running time: $O(log i)$ amoritzed
>>>
rotateNL 0 $ fromList [1..5]
CSeq [1,2,3,4,5]>>>
rotateNL 1 $ fromList [1..5]
CSeq [5,1,2,3,4]>>>
rotateNL 2 $ fromList [1..5]
CSeq [4,5,1,2,3]>>>
rotateNL 3 $ fromList [1..5]
CSeq [3,4,5,1,2]>>>
rotateNL 4 $ fromList [1..5]
CSeq [2,3,4,5,1]
rotateNR :: Int -> CSeq a -> CSeq a Source
Rotates i elements to the right.
pre: 0 <= i < n
running time: $O(log i)$ amortized
>>>
rotateNR 0 $ fromList [1..5]
CSeq [1,2,3,4,5]>>>
rotateNR 1 $ fromList [1..5]
CSeq [2,3,4,5,1]>>>
rotateNR 4 $ fromList [1..5]
CSeq [5,1,2,3,4]
rightElements :: CSeq a -> Seq a Source
All elements, starting with the focus, going to the right
leftElements :: CSeq a -> Seq a Source
All elements, starting with the focus, going to the left
>>>
leftElements $ fromList [3,4,5,1,2]
fromList [3,2,1,5,4]
reverseDirection :: CSeq a -> CSeq a Source
Reversres the direction of the CSeq
running time: $O(n)$
>>>
reverseDirection $ fromList [1..5]
CSeq [1,5,4,3,2]
allRotations :: CSeq a -> CSeq (CSeq a) Source
All rotations, the input CSeq is the focus.
>>>
mapM_ print . allRotations $ fromList [1..5]
CSeq [1,2,3,4,5] CSeq [2,3,4,5,1] CSeq [3,4,5,1,2] CSeq [4,5,1,2,3] CSeq [5,1,2,3,4]