{-# LANGUAGE CPP, Rank2Types, TypeFamilies #-}
-- |
-- Module : Data.Vector.Unboxed
-- Copyright : (c) Roman Leshchinskiy 2009-2010
-- License : BSD-style
--
-- Maintainer : Roman Leshchinskiy <rl@cse.unsw.edu.au>
-- Stability : experimental
-- Portability : non-portable
--
-- Adaptive unboxed vectors. The implementation is based on type families
-- and picks an efficient, specialised representation for every element type.
-- In particular, unboxed vectors of pairs are represented as pairs of unboxed
-- vectors.
--
-- Implementing unboxed vectors for new data types can be very easy. Here is
-- how the library does this for 'Complex' by simply wrapping vectors of
-- pairs.
--
-- @
-- newtype instance 'MVector' s ('Complex' a) = MV_Complex ('MVector' s (a,a))
-- newtype instance 'Vector' ('Complex' a) = V_Complex ('Vector' (a,a))
--
-- instance ('RealFloat' a, 'Unbox' a) => 'Data.Vector.Generic.Mutable.MVector' 'MVector' ('Complex' a) where
-- {-\# INLINE basicLength \#-}
-- basicLength (MV_Complex v) = 'Data.Vector.Generic.Mutable.basicLength' v
-- ...
--
-- instance ('RealFloat' a, 'Unbox' a) => Data.Vector.Generic.Vector 'Vector' ('Complex' a) where
-- {-\# INLINE basicLength \#-}
-- basicLength (V_Complex v) = Data.Vector.Generic.basicLength v
-- ...
--
-- instance ('RealFloat' a, 'Unbox' a) => 'Unbox' ('Complex' a)
-- @
module Data.Vector.Unboxed (
-- * Unboxed vectors
Vector, MVector(..), Unbox,
-- * Accessors
-- ** Length information
length, null,
-- ** Indexing
(!), (!?), head, last,
unsafeIndex, unsafeHead, unsafeLast,
-- ** Monadic indexing
indexM, headM, lastM,
unsafeIndexM, unsafeHeadM, unsafeLastM,
-- ** Extracting subvectors (slicing)
slice, init, tail, take, drop, splitAt,
unsafeSlice, unsafeInit, unsafeTail, unsafeTake, unsafeDrop,
-- * Construction
-- ** Initialisation
empty, singleton, replicate, generate, iterateN,
-- ** Monadic initialisation
replicateM, generateM, iterateNM, create, createT,
-- ** Unfolding
unfoldr, unfoldrN,
unfoldrM, unfoldrNM,
constructN, constructrN,
-- ** Enumeration
enumFromN, enumFromStepN, enumFromTo, enumFromThenTo,
-- ** Concatenation
cons, snoc, (++), concat,
-- ** Restricting memory usage
force,
-- * Modifying vectors
-- ** Bulk updates
(//), update, update_,
unsafeUpd, unsafeUpdate, unsafeUpdate_,
-- ** Accumulations
accum, accumulate, accumulate_,
unsafeAccum, unsafeAccumulate, unsafeAccumulate_,
-- ** Permutations
reverse, backpermute, unsafeBackpermute,
-- ** Safe destructive updates
modify,
-- * Elementwise operations
-- ** Indexing
indexed,
-- ** Mapping
map, imap, concatMap,
-- ** Monadic mapping
mapM, imapM, mapM_, imapM_, forM, forM_,
-- ** Zipping
zipWith, zipWith3, zipWith4, zipWith5, zipWith6,
izipWith, izipWith3, izipWith4, izipWith5, izipWith6,
zip, zip3, zip4, zip5, zip6,
-- ** Monadic zipping
zipWithM, izipWithM, zipWithM_, izipWithM_,
-- ** Unzipping
unzip, unzip3, unzip4, unzip5, unzip6,
-- * Working with predicates
-- ** Filtering
filter, ifilter, uniq,
mapMaybe, imapMaybe,
filterM,
takeWhile, dropWhile,
-- ** Partitioning
partition, unstablePartition, span, break,
-- ** Searching
elem, notElem, find, findIndex, findIndices, elemIndex, elemIndices,
-- * Folding
foldl, foldl1, foldl', foldl1', foldr, foldr1, foldr', foldr1',
ifoldl, ifoldl', ifoldr, ifoldr',
-- ** Specialised folds
all, any, and, or,
sum, product,
maximum, maximumBy, minimum, minimumBy,
minIndex, minIndexBy, maxIndex, maxIndexBy,
-- ** Monadic folds
foldM, ifoldM, foldM', ifoldM',
fold1M, fold1M', foldM_, ifoldM_,
foldM'_, ifoldM'_, fold1M_, fold1M'_,
-- * Prefix sums (scans)
prescanl, prescanl',
postscanl, postscanl',
scanl, scanl', scanl1, scanl1',
prescanr, prescanr',
postscanr, postscanr',
scanr, scanr', scanr1, scanr1',
-- * Conversions
-- ** Lists
toList, fromList, fromListN,
-- ** Other vector types
G.convert,
-- ** Mutable vectors
freeze, thaw, copy, unsafeFreeze, unsafeThaw, unsafeCopy
) where
import Data.Vector.Unboxed.Base
import qualified Data.Vector.Generic as G
import qualified Data.Vector.Fusion.Bundle as Bundle
import Data.Vector.Fusion.Util ( delayed_min )
import Control.Monad.ST ( ST )
import Control.Monad.Primitive
import Prelude hiding ( length, null,
replicate, (++), concat,
head, last,
init, tail, take, drop, splitAt, reverse,
map, concatMap,
zipWith, zipWith3, zip, zip3, unzip, unzip3,
filter, takeWhile, dropWhile, span, break,
elem, notElem,
foldl, foldl1, foldr, foldr1,
all, any, and, or, sum, product, minimum, maximum,
scanl, scanl1, scanr, scanr1,
enumFromTo, enumFromThenTo,
mapM, mapM_ )
import Text.Read ( Read(..), readListPrecDefault )
import Data.Semigroup ( Semigroup(..) )
#if !MIN_VERSION_base(4,8,0)
import Data.Monoid ( Monoid(..) )
import Data.Traversable ( Traversable )
#endif
#if __GLASGOW_HASKELL__ >= 708
import qualified GHC.Exts as Exts (IsList(..))
#endif
#define NOT_VECTOR_MODULE
#include "vector.h"
-- See http://trac.haskell.org/vector/ticket/12
instance (Unbox a, Eq a) => Eq (Vector a) where
{-# INLINE (==) #-}
xs == ys = Bundle.eq (G.stream xs) (G.stream ys)
{-# INLINE (/=) #-}
xs /= ys = not (Bundle.eq (G.stream xs) (G.stream ys))
-- See http://trac.haskell.org/vector/ticket/12
instance (Unbox a, Ord a) => Ord (Vector a) where
{-# INLINE compare #-}
compare xs ys = Bundle.cmp (G.stream xs) (G.stream ys)
{-# INLINE (<) #-}
xs < ys = Bundle.cmp (G.stream xs) (G.stream ys) == LT
{-# INLINE (<=) #-}
xs <= ys = Bundle.cmp (G.stream xs) (G.stream ys) /= GT
{-# INLINE (>) #-}
xs > ys = Bundle.cmp (G.stream xs) (G.stream ys) == GT
{-# INLINE (>=) #-}
xs >= ys = Bundle.cmp (G.stream xs) (G.stream ys) /= LT
instance Unbox a => Semigroup (Vector a) where
{-# INLINE (<>) #-}
(<>) = (++)
{-# INLINE sconcat #-}
sconcat = G.concatNE
instance Unbox a => Monoid (Vector a) where
{-# INLINE mempty #-}
mempty = empty
{-# INLINE mappend #-}
mappend = (++)
{-# INLINE mconcat #-}
mconcat = concat
instance (Show a, Unbox a) => Show (Vector a) where
showsPrec = G.showsPrec
instance (Read a, Unbox a) => Read (Vector a) where
readPrec = G.readPrec
readListPrec = readListPrecDefault
#if __GLASGOW_HASKELL__ >= 708
instance (Unbox e) => Exts.IsList (Vector e) where
type Item (Vector e) = e
fromList = fromList
fromListN = fromListN
toList = toList
#endif
-- Length information
-- ------------------
-- | /O(1)/ Yield the length of the vector
length :: Unbox a => Vector a -> Int
{-# INLINE length #-}
length = G.length
-- | /O(1)/ Test whether a vector is empty
null :: Unbox a => Vector a -> Bool
{-# INLINE null #-}
null = G.null
-- Indexing
-- --------
-- | O(1) Indexing
(!) :: Unbox a => Vector a -> Int -> a
{-# INLINE (!) #-}
(!) = (G.!)
-- | O(1) Safe indexing
(!?) :: Unbox a => Vector a -> Int -> Maybe a
{-# INLINE (!?) #-}
(!?) = (G.!?)
-- | /O(1)/ First element
head :: Unbox a => Vector a -> a
{-# INLINE head #-}
head = G.head
-- | /O(1)/ Last element
last :: Unbox a => Vector a -> a
{-# INLINE last #-}
last = G.last
-- | /O(1)/ Unsafe indexing without bounds checking
unsafeIndex :: Unbox a => Vector a -> Int -> a
{-# INLINE unsafeIndex #-}
unsafeIndex = G.unsafeIndex
-- | /O(1)/ First element without checking if the vector is empty
unsafeHead :: Unbox a => Vector a -> a
{-# INLINE unsafeHead #-}
unsafeHead = G.unsafeHead
-- | /O(1)/ Last element without checking if the vector is empty
unsafeLast :: Unbox a => Vector a -> a
{-# INLINE unsafeLast #-}
unsafeLast = G.unsafeLast
-- Monadic indexing
-- ----------------
-- | /O(1)/ Indexing in a monad.
--
-- The monad allows operations to be strict in the vector when necessary.
-- Suppose vector copying is implemented like this:
--
-- > copy mv v = ... write mv i (v ! i) ...
--
-- For lazy vectors, @v ! i@ would not be evaluated which means that @mv@
-- would unnecessarily retain a reference to @v@ in each element written.
--
-- With 'indexM', copying can be implemented like this instead:
--
-- > copy mv v = ... do
-- > x <- indexM v i
-- > write mv i x
--
-- Here, no references to @v@ are retained because indexing (but /not/ the
-- elements) is evaluated eagerly.
--
indexM :: (Unbox a, Monad m) => Vector a -> Int -> m a
{-# INLINE indexM #-}
indexM = G.indexM
-- | /O(1)/ First element of a vector in a monad. See 'indexM' for an
-- explanation of why this is useful.
headM :: (Unbox a, Monad m) => Vector a -> m a
{-# INLINE headM #-}
headM = G.headM
-- | /O(1)/ Last element of a vector in a monad. See 'indexM' for an
-- explanation of why this is useful.
lastM :: (Unbox a, Monad m) => Vector a -> m a
{-# INLINE lastM #-}
lastM = G.lastM
-- | /O(1)/ Indexing in a monad without bounds checks. See 'indexM' for an
-- explanation of why this is useful.
unsafeIndexM :: (Unbox a, Monad m) => Vector a -> Int -> m a
{-# INLINE unsafeIndexM #-}
unsafeIndexM = G.unsafeIndexM
-- | /O(1)/ First element in a monad without checking for empty vectors.
-- See 'indexM' for an explanation of why this is useful.
unsafeHeadM :: (Unbox a, Monad m) => Vector a -> m a
{-# INLINE unsafeHeadM #-}
unsafeHeadM = G.unsafeHeadM
-- | /O(1)/ Last element in a monad without checking for empty vectors.
-- See 'indexM' for an explanation of why this is useful.
unsafeLastM :: (Unbox a, Monad m) => Vector a -> m a
{-# INLINE unsafeLastM #-}
unsafeLastM = G.unsafeLastM
-- Extracting subvectors (slicing)
-- -------------------------------
-- | /O(1)/ Yield a slice of the vector without copying it. The vector must
-- contain at least @i+n@ elements.
slice :: Unbox a => Int -- ^ @i@ starting index
-> Int -- ^ @n@ length
-> Vector a
-> Vector a
{-# INLINE slice #-}
slice = G.slice
-- | /O(1)/ Yield all but the last element without copying. The vector may not
-- be empty.
init :: Unbox a => Vector a -> Vector a
{-# INLINE init #-}
init = G.init
-- | /O(1)/ Yield all but the first element without copying. The vector may not
-- be empty.
tail :: Unbox a => Vector a -> Vector a
{-# INLINE tail #-}
tail = G.tail
-- | /O(1)/ Yield at the first @n@ elements without copying. The vector may
-- contain less than @n@ elements in which case it is returned unchanged.
take :: Unbox a => Int -> Vector a -> Vector a
{-# INLINE take #-}
take = G.take
-- | /O(1)/ Yield all but the first @n@ elements without copying. The vector may
-- contain less than @n@ elements in which case an empty vector is returned.
drop :: Unbox a => Int -> Vector a -> Vector a
{-# INLINE drop #-}
drop = G.drop
-- | /O(1)/ Yield the first @n@ elements paired with the remainder without copying.
--
-- Note that @'splitAt' n v@ is equivalent to @('take' n v, 'drop' n v)@
-- but slightly more efficient.
{-# INLINE splitAt #-}
splitAt :: Unbox a => Int -> Vector a -> (Vector a, Vector a)
splitAt = G.splitAt
-- | /O(1)/ Yield a slice of the vector without copying. The vector must
-- contain at least @i+n@ elements but this is not checked.
unsafeSlice :: Unbox a => Int -- ^ @i@ starting index
-> Int -- ^ @n@ length
-> Vector a
-> Vector a
{-# INLINE unsafeSlice #-}
unsafeSlice = G.unsafeSlice
-- | /O(1)/ Yield all but the last element without copying. The vector may not
-- be empty but this is not checked.
unsafeInit :: Unbox a => Vector a -> Vector a
{-# INLINE unsafeInit #-}
unsafeInit = G.unsafeInit
-- | /O(1)/ Yield all but the first element without copying. The vector may not
-- be empty but this is not checked.
unsafeTail :: Unbox a => Vector a -> Vector a
{-# INLINE unsafeTail #-}
unsafeTail = G.unsafeTail
-- | /O(1)/ Yield the first @n@ elements without copying. The vector must
-- contain at least @n@ elements but this is not checked.
unsafeTake :: Unbox a => Int -> Vector a -> Vector a
{-# INLINE unsafeTake #-}
unsafeTake = G.unsafeTake
-- | /O(1)/ Yield all but the first @n@ elements without copying. The vector
-- must contain at least @n@ elements but this is not checked.
unsafeDrop :: Unbox a => Int -> Vector a -> Vector a
{-# INLINE unsafeDrop #-}
unsafeDrop = G.unsafeDrop
-- Initialisation
-- --------------
-- | /O(1)/ Empty vector
empty :: Unbox a => Vector a
{-# INLINE empty #-}
empty = G.empty
-- | /O(1)/ Vector with exactly one element
singleton :: Unbox a => a -> Vector a
{-# INLINE singleton #-}
singleton = G.singleton
-- | /O(n)/ Vector of the given length with the same value in each position
replicate :: Unbox a => Int -> a -> Vector a
{-# INLINE replicate #-}
replicate = G.replicate
-- | /O(n)/ Construct a vector of the given length by applying the function to
-- each index
generate :: Unbox a => Int -> (Int -> a) -> Vector a
{-# INLINE generate #-}
generate = G.generate
-- | /O(n)/ Apply function n times to value. Zeroth element is original value.
iterateN :: Unbox a => Int -> (a -> a) -> a -> Vector a
{-# INLINE iterateN #-}
iterateN = G.iterateN
-- Unfolding
-- ---------
-- | /O(n)/ Construct a vector by repeatedly applying the generator function
-- to a seed. The generator function yields 'Just' the next element and the
-- new seed or 'Nothing' if there are no more elements.
--
-- > unfoldr (\n -> if n == 0 then Nothing else Just (n,n-1)) 10
-- > = <10,9,8,7,6,5,4,3,2,1>
unfoldr :: Unbox a => (b -> Maybe (a, b)) -> b -> Vector a
{-# INLINE unfoldr #-}
unfoldr = G.unfoldr
-- | /O(n)/ Construct a vector with at most @n@ elements by repeatedly applying
-- the generator function to a seed. The generator function yields 'Just' the
-- next element and the new seed or 'Nothing' if there are no more elements.
--
-- > unfoldrN 3 (\n -> Just (n,n-1)) 10 = <10,9,8>
unfoldrN :: Unbox a => Int -> (b -> Maybe (a, b)) -> b -> Vector a
{-# INLINE unfoldrN #-}
unfoldrN = G.unfoldrN
-- | /O(n)/ Construct a vector by repeatedly applying the monadic
-- generator function to a seed. The generator function yields 'Just'
-- the next element and the new seed or 'Nothing' if there are no more
-- elements.
unfoldrM :: (Monad m, Unbox a) => (b -> m (Maybe (a, b))) -> b -> m (Vector a)
{-# INLINE unfoldrM #-}
unfoldrM = G.unfoldrM
-- | /O(n)/ Construct a vector by repeatedly applying the monadic
-- generator function to a seed. The generator function yields 'Just'
-- the next element and the new seed or 'Nothing' if there are no more
-- elements.
unfoldrNM :: (Monad m, Unbox a) => Int -> (b -> m (Maybe (a, b))) -> b -> m (Vector a)
{-# INLINE unfoldrNM #-}
unfoldrNM = G.unfoldrNM
-- | /O(n)/ Construct a vector with @n@ elements by repeatedly applying the
-- generator function to the already constructed part of the vector.
--
-- > constructN 3 f = let a = f <> ; b = f <a> ; c = f <a,b> in f <a,b,c>
--
constructN :: Unbox a => Int -> (Vector a -> a) -> Vector a
{-# INLINE constructN #-}
constructN = G.constructN
-- | /O(n)/ Construct a vector with @n@ elements from right to left by
-- repeatedly applying the generator function to the already constructed part
-- of the vector.
--
-- > constructrN 3 f = let a = f <> ; b = f<a> ; c = f <b,a> in f <c,b,a>
--
constructrN :: Unbox a => Int -> (Vector a -> a) -> Vector a
{-# INLINE constructrN #-}
constructrN = G.constructrN
-- Enumeration
-- -----------
-- | /O(n)/ Yield a vector of the given length containing the values @x@, @x+1@
-- etc. This operation is usually more efficient than 'enumFromTo'.
--
-- > enumFromN 5 3 = <5,6,7>
enumFromN :: (Unbox a, Num a) => a -> Int -> Vector a
{-# INLINE enumFromN #-}
enumFromN = G.enumFromN
-- | /O(n)/ Yield a vector of the given length containing the values @x@, @x+y@,
-- @x+y+y@ etc. This operations is usually more efficient than 'enumFromThenTo'.
--
-- > enumFromStepN 1 0.1 5 = <1,1.1,1.2,1.3,1.4>
enumFromStepN :: (Unbox a, Num a) => a -> a -> Int -> Vector a
{-# INLINE enumFromStepN #-}
enumFromStepN = G.enumFromStepN
-- | /O(n)/ Enumerate values from @x@ to @y@.
--
-- /WARNING:/ This operation can be very inefficient. If at all possible, use
-- 'enumFromN' instead.
enumFromTo :: (Unbox a, Enum a) => a -> a -> Vector a
{-# INLINE enumFromTo #-}
enumFromTo = G.enumFromTo
-- | /O(n)/ Enumerate values from @x@ to @y@ with a specific step @z@.
--
-- /WARNING:/ This operation can be very inefficient. If at all possible, use
-- 'enumFromStepN' instead.
enumFromThenTo :: (Unbox a, Enum a) => a -> a -> a -> Vector a
{-# INLINE enumFromThenTo #-}
enumFromThenTo = G.enumFromThenTo
-- Concatenation
-- -------------
-- | /O(n)/ Prepend an element
cons :: Unbox a => a -> Vector a -> Vector a
{-# INLINE cons #-}
cons = G.cons
-- | /O(n)/ Append an element
snoc :: Unbox a => Vector a -> a -> Vector a
{-# INLINE snoc #-}
snoc = G.snoc
infixr 5 ++
-- | /O(m+n)/ Concatenate two vectors
(++) :: Unbox a => Vector a -> Vector a -> Vector a
{-# INLINE (++) #-}
(++) = (G.++)
-- | /O(n)/ Concatenate all vectors in the list
concat :: Unbox a => [Vector a] -> Vector a
{-# INLINE concat #-}
concat = G.concat
-- Monadic initialisation
-- ----------------------
-- | /O(n)/ Execute the monadic action the given number of times and store the
-- results in a vector.
replicateM :: (Monad m, Unbox a) => Int -> m a -> m (Vector a)
{-# INLINE replicateM #-}
replicateM = G.replicateM
-- | /O(n)/ Construct a vector of the given length by applying the monadic
-- action to each index
generateM :: (Monad m, Unbox a) => Int -> (Int -> m a) -> m (Vector a)
{-# INLINE generateM #-}
generateM = G.generateM
-- | /O(n)/ Apply monadic function n times to value. Zeroth element is original value.
iterateNM :: (Monad m, Unbox a) => Int -> (a -> m a) -> a -> m (Vector a)
{-# INLINE iterateNM #-}
iterateNM = G.iterateNM
-- | Execute the monadic action and freeze the resulting vector.
--
-- @
-- create (do { v \<- new 2; write v 0 \'a\'; write v 1 \'b\'; return v }) = \<'a','b'\>
-- @
create :: Unbox a => (forall s. ST s (MVector s a)) -> Vector a
{-# INLINE create #-}
-- NOTE: eta-expanded due to http://hackage.haskell.org/trac/ghc/ticket/4120
create p = G.create p
-- | Execute the monadic action and freeze the resulting vectors.
createT :: (Traversable f, Unbox a) => (forall s. ST s (f (MVector s a))) -> f (Vector a)
{-# INLINE createT #-}
createT p = G.createT p
-- Restricting memory usage
-- ------------------------
-- | /O(n)/ Yield the argument but force it not to retain any extra memory,
-- possibly by copying it.
--
-- This is especially useful when dealing with slices. For example:
--
-- > force (slice 0 2 <huge vector>)
--
-- Here, the slice retains a reference to the huge vector. Forcing it creates
-- a copy of just the elements that belong to the slice and allows the huge
-- vector to be garbage collected.
force :: Unbox a => Vector a -> Vector a
{-# INLINE force #-}
force = G.force
-- Bulk updates
-- ------------
-- | /O(m+n)/ For each pair @(i,a)@ from the list, replace the vector
-- element at position @i@ by @a@.
--
-- > <5,9,2,7> // [(2,1),(0,3),(2,8)] = <3,9,8,7>
--
(//) :: Unbox a => Vector a -- ^ initial vector (of length @m@)
-> [(Int, a)] -- ^ list of index/value pairs (of length @n@)
-> Vector a
{-# INLINE (//) #-}
(//) = (G.//)
-- | /O(m+n)/ For each pair @(i,a)@ from the vector of index/value pairs,
-- replace the vector element at position @i@ by @a@.
--
-- > update <5,9,2,7> <(2,1),(0,3),(2,8)> = <3,9,8,7>
--
update :: Unbox a
=> Vector a -- ^ initial vector (of length @m@)
-> Vector (Int, a) -- ^ vector of index/value pairs (of length @n@)
-> Vector a
{-# INLINE update #-}
update = G.update
-- | /O(m+min(n1,n2))/ For each index @i@ from the index vector and the
-- corresponding value @a@ from the value vector, replace the element of the
-- initial vector at position @i@ by @a@.
--
-- > update_ <5,9,2,7> <2,0,2> <1,3,8> = <3,9,8,7>
--
-- The function 'update' provides the same functionality and is usually more
-- convenient.
--
-- @
-- update_ xs is ys = 'update' xs ('zip' is ys)
-- @
update_ :: Unbox a
=> Vector a -- ^ initial vector (of length @m@)
-> Vector Int -- ^ index vector (of length @n1@)
-> Vector a -- ^ value vector (of length @n2@)
-> Vector a
{-# INLINE update_ #-}
update_ = G.update_
-- | Same as ('//') but without bounds checking.
unsafeUpd :: Unbox a => Vector a -> [(Int, a)] -> Vector a
{-# INLINE unsafeUpd #-}
unsafeUpd = G.unsafeUpd
-- | Same as 'update' but without bounds checking.
unsafeUpdate :: Unbox a => Vector a -> Vector (Int, a) -> Vector a
{-# INLINE unsafeUpdate #-}
unsafeUpdate = G.unsafeUpdate
-- | Same as 'update_' but without bounds checking.
unsafeUpdate_ :: Unbox a => Vector a -> Vector Int -> Vector a -> Vector a
{-# INLINE unsafeUpdate_ #-}
unsafeUpdate_ = G.unsafeUpdate_
-- Accumulations
-- -------------
-- | /O(m+n)/ For each pair @(i,b)@ from the list, replace the vector element
-- @a@ at position @i@ by @f a b@.
--
-- > accum (+) <5,9,2> [(2,4),(1,6),(0,3),(1,7)] = <5+3, 9+6+7, 2+4>
accum :: Unbox a
=> (a -> b -> a) -- ^ accumulating function @f@
-> Vector a -- ^ initial vector (of length @m@)
-> [(Int,b)] -- ^ list of index/value pairs (of length @n@)
-> Vector a
{-# INLINE accum #-}
accum = G.accum
-- | /O(m+n)/ For each pair @(i,b)@ from the vector of pairs, replace the vector
-- element @a@ at position @i@ by @f a b@.
--
-- > accumulate (+) <5,9,2> <(2,4),(1,6),(0,3),(1,7)> = <5+3, 9+6+7, 2+4>
accumulate :: (Unbox a, Unbox b)
=> (a -> b -> a) -- ^ accumulating function @f@
-> Vector a -- ^ initial vector (of length @m@)
-> Vector (Int,b) -- ^ vector of index/value pairs (of length @n@)
-> Vector a
{-# INLINE accumulate #-}
accumulate = G.accumulate
-- | /O(m+min(n1,n2))/ For each index @i@ from the index vector and the
-- corresponding value @b@ from the the value vector,
-- replace the element of the initial vector at
-- position @i@ by @f a b@.
--
-- > accumulate_ (+) <5,9,2> <2,1,0,1> <4,6,3,7> = <5+3, 9+6+7, 2+4>
--
-- The function 'accumulate' provides the same functionality and is usually more
-- convenient.
--
-- @
-- accumulate_ f as is bs = 'accumulate' f as ('zip' is bs)
-- @
accumulate_ :: (Unbox a, Unbox b)
=> (a -> b -> a) -- ^ accumulating function @f@
-> Vector a -- ^ initial vector (of length @m@)
-> Vector Int -- ^ index vector (of length @n1@)
-> Vector b -- ^ value vector (of length @n2@)
-> Vector a
{-# INLINE accumulate_ #-}
accumulate_ = G.accumulate_
-- | Same as 'accum' but without bounds checking.
unsafeAccum :: Unbox a => (a -> b -> a) -> Vector a -> [(Int,b)] -> Vector a
{-# INLINE unsafeAccum #-}
unsafeAccum = G.unsafeAccum
-- | Same as 'accumulate' but without bounds checking.
unsafeAccumulate :: (Unbox a, Unbox b)
=> (a -> b -> a) -> Vector a -> Vector (Int,b) -> Vector a
{-# INLINE unsafeAccumulate #-}
unsafeAccumulate = G.unsafeAccumulate
-- | Same as 'accumulate_' but without bounds checking.
unsafeAccumulate_ :: (Unbox a, Unbox b) =>
(a -> b -> a) -> Vector a -> Vector Int -> Vector b -> Vector a
{-# INLINE unsafeAccumulate_ #-}
unsafeAccumulate_ = G.unsafeAccumulate_
-- Permutations
-- ------------
-- | /O(n)/ Reverse a vector
reverse :: Unbox a => Vector a -> Vector a
{-# INLINE reverse #-}
reverse = G.reverse
-- | /O(n)/ Yield the vector obtained by replacing each element @i@ of the
-- index vector by @xs'!'i@. This is equivalent to @'map' (xs'!') is@ but is
-- often much more efficient.
--
-- > backpermute <a,b,c,d> <0,3,2,3,1,0> = <a,d,c,d,b,a>
backpermute :: Unbox a => Vector a -> Vector Int -> Vector a
{-# INLINE backpermute #-}
backpermute = G.backpermute
-- | Same as 'backpermute' but without bounds checking.
unsafeBackpermute :: Unbox a => Vector a -> Vector Int -> Vector a
{-# INLINE unsafeBackpermute #-}
unsafeBackpermute = G.unsafeBackpermute
-- Safe destructive updates
-- ------------------------
-- | Apply a destructive operation to a vector. The operation will be
-- performed in place if it is safe to do so and will modify a copy of the
-- vector otherwise.
--
-- @
-- modify (\\v -> write v 0 \'x\') ('replicate' 3 \'a\') = \<\'x\',\'a\',\'a\'\>
-- @
modify :: Unbox a => (forall s. MVector s a -> ST s ()) -> Vector a -> Vector a
{-# INLINE modify #-}
modify p = G.modify p
-- Indexing
-- --------
-- | /O(n)/ Pair each element in a vector with its index
indexed :: Unbox a => Vector a -> Vector (Int,a)
{-# INLINE indexed #-}
indexed = G.indexed
-- Mapping
-- -------
-- | /O(n)/ Map a function over a vector
map :: (Unbox a, Unbox b) => (a -> b) -> Vector a -> Vector b
{-# INLINE map #-}
map = G.map
-- | /O(n)/ Apply a function to every element of a vector and its index
imap :: (Unbox a, Unbox b) => (Int -> a -> b) -> Vector a -> Vector b
{-# INLINE imap #-}
imap = G.imap
-- | Map a function over a vector and concatenate the results.
concatMap :: (Unbox a, Unbox b) => (a -> Vector b) -> Vector a -> Vector b
{-# INLINE concatMap #-}
concatMap = G.concatMap
-- Monadic mapping
-- ---------------
-- | /O(n)/ Apply the monadic action to all elements of the vector, yielding a
-- vector of results
mapM :: (Monad m, Unbox a, Unbox b) => (a -> m b) -> Vector a -> m (Vector b)
{-# INLINE mapM #-}
mapM = G.mapM
-- | /O(n)/ Apply the monadic action to every element of a vector and its
-- index, yielding a vector of results
imapM :: (Monad m, Unbox a, Unbox b)
=> (Int -> a -> m b) -> Vector a -> m (Vector b)
{-# INLINE imapM #-}
imapM = G.imapM
-- | /O(n)/ Apply the monadic action to all elements of a vector and ignore the
-- results
mapM_ :: (Monad m, Unbox a) => (a -> m b) -> Vector a -> m ()
{-# INLINE mapM_ #-}
mapM_ = G.mapM_
-- | /O(n)/ Apply the monadic action to every element of a vector and its
-- index, ignoring the results
imapM_ :: (Monad m, Unbox a) => (Int -> a -> m b) -> Vector a -> m ()
{-# INLINE imapM_ #-}
imapM_ = G.imapM_
-- | /O(n)/ Apply the monadic action to all elements of the vector, yielding a
-- vector of results. Equivalent to @flip 'mapM'@.
forM :: (Monad m, Unbox a, Unbox b) => Vector a -> (a -> m b) -> m (Vector b)
{-# INLINE forM #-}
forM = G.forM
-- | /O(n)/ Apply the monadic action to all elements of a vector and ignore the
-- results. Equivalent to @flip 'mapM_'@.
forM_ :: (Monad m, Unbox a) => Vector a -> (a -> m b) -> m ()
{-# INLINE forM_ #-}
forM_ = G.forM_
-- Zipping
-- -------
-- | /O(min(m,n))/ Zip two vectors with the given function.
zipWith :: (Unbox a, Unbox b, Unbox c)
=> (a -> b -> c) -> Vector a -> Vector b -> Vector c
{-# INLINE zipWith #-}
zipWith = G.zipWith
-- | Zip three vectors with the given function.
zipWith3 :: (Unbox a, Unbox b, Unbox c, Unbox d)
=> (a -> b -> c -> d) -> Vector a -> Vector b -> Vector c -> Vector d
{-# INLINE zipWith3 #-}
zipWith3 = G.zipWith3
zipWith4 :: (Unbox a, Unbox b, Unbox c, Unbox d, Unbox e)
=> (a -> b -> c -> d -> e)
-> Vector a -> Vector b -> Vector c -> Vector d -> Vector e
{-# INLINE zipWith4 #-}
zipWith4 = G.zipWith4
zipWith5 :: (Unbox a, Unbox b, Unbox c, Unbox d, Unbox e, Unbox f)
=> (a -> b -> c -> d -> e -> f)
-> Vector a -> Vector b -> Vector c -> Vector d -> Vector e
-> Vector f
{-# INLINE zipWith5 #-}
zipWith5 = G.zipWith5
zipWith6 :: (Unbox a, Unbox b, Unbox c, Unbox d, Unbox e, Unbox f, Unbox g)
=> (a -> b -> c -> d -> e -> f -> g)
-> Vector a -> Vector b -> Vector c -> Vector d -> Vector e
-> Vector f -> Vector g
{-# INLINE zipWith6 #-}
zipWith6 = G.zipWith6
-- | /O(min(m,n))/ Zip two vectors with a function that also takes the
-- elements' indices.
izipWith :: (Unbox a, Unbox b, Unbox c)
=> (Int -> a -> b -> c) -> Vector a -> Vector b -> Vector c
{-# INLINE izipWith #-}
izipWith = G.izipWith
-- | Zip three vectors and their indices with the given function.
izipWith3 :: (Unbox a, Unbox b, Unbox c, Unbox d)
=> (Int -> a -> b -> c -> d)
-> Vector a -> Vector b -> Vector c -> Vector d
{-# INLINE izipWith3 #-}
izipWith3 = G.izipWith3
izipWith4 :: (Unbox a, Unbox b, Unbox c, Unbox d, Unbox e)
=> (Int -> a -> b -> c -> d -> e)
-> Vector a -> Vector b -> Vector c -> Vector d -> Vector e
{-# INLINE izipWith4 #-}
izipWith4 = G.izipWith4
izipWith5 :: (Unbox a, Unbox b, Unbox c, Unbox d, Unbox e, Unbox f)
=> (Int -> a -> b -> c -> d -> e -> f)
-> Vector a -> Vector b -> Vector c -> Vector d -> Vector e
-> Vector f
{-# INLINE izipWith5 #-}
izipWith5 = G.izipWith5
izipWith6 :: (Unbox a, Unbox b, Unbox c, Unbox d, Unbox e, Unbox f, Unbox g)
=> (Int -> a -> b -> c -> d -> e -> f -> g)
-> Vector a -> Vector b -> Vector c -> Vector d -> Vector e
-> Vector f -> Vector g
{-# INLINE izipWith6 #-}
izipWith6 = G.izipWith6
-- Monadic zipping
-- ---------------
-- | /O(min(m,n))/ Zip the two vectors with the monadic action and yield a
-- vector of results
zipWithM :: (Monad m, Unbox a, Unbox b, Unbox c)
=> (a -> b -> m c) -> Vector a -> Vector b -> m (Vector c)
{-# INLINE zipWithM #-}
zipWithM = G.zipWithM
-- | /O(min(m,n))/ Zip the two vectors with a monadic action that also takes
-- the element index and yield a vector of results
izipWithM :: (Monad m, Unbox a, Unbox b, Unbox c)
=> (Int -> a -> b -> m c) -> Vector a -> Vector b -> m (Vector c)
{-# INLINE izipWithM #-}
izipWithM = G.izipWithM
-- | /O(min(m,n))/ Zip the two vectors with the monadic action and ignore the
-- results
zipWithM_ :: (Monad m, Unbox a, Unbox b)
=> (a -> b -> m c) -> Vector a -> Vector b -> m ()
{-# INLINE zipWithM_ #-}
zipWithM_ = G.zipWithM_
-- | /O(min(m,n))/ Zip the two vectors with a monadic action that also takes
-- the element index and ignore the results
izipWithM_ :: (Monad m, Unbox a, Unbox b)
=> (Int -> a -> b -> m c) -> Vector a -> Vector b -> m ()
{-# INLINE izipWithM_ #-}
izipWithM_ = G.izipWithM_
-- Filtering
-- ---------
-- | /O(n)/ Drop elements that do not satisfy the predicate
filter :: Unbox a => (a -> Bool) -> Vector a -> Vector a
{-# INLINE filter #-}
filter = G.filter
-- | /O(n)/ Drop repeated adjacent elements.
uniq :: (Unbox a, Eq a) => Vector a -> Vector a
{-# INLINE uniq #-}
uniq = G.uniq
-- | /O(n)/ Drop elements that do not satisfy the predicate which is applied to
-- values and their indices
ifilter :: Unbox a => (Int -> a -> Bool) -> Vector a -> Vector a
{-# INLINE ifilter #-}
ifilter = G.ifilter
-- | /O(n)/ Drop elements when predicate returns Nothing
mapMaybe :: (Unbox a, Unbox b) => (a -> Maybe b) -> Vector a -> Vector b
{-# INLINE mapMaybe #-}
mapMaybe = G.mapMaybe
-- | /O(n)/ Drop elements when predicate, applied to index and value, returns Nothing
imapMaybe :: (Unbox a, Unbox b) => (Int -> a -> Maybe b) -> Vector a -> Vector b
{-# INLINE imapMaybe #-}
imapMaybe = G.imapMaybe
-- | /O(n)/ Drop elements that do not satisfy the monadic predicate
filterM :: (Monad m, Unbox a) => (a -> m Bool) -> Vector a -> m (Vector a)
{-# INLINE filterM #-}
filterM = G.filterM
-- | /O(n)/ Yield the longest prefix of elements satisfying the predicate
-- without copying.
takeWhile :: Unbox a => (a -> Bool) -> Vector a -> Vector a
{-# INLINE takeWhile #-}
takeWhile = G.takeWhile
-- | /O(n)/ Drop the longest prefix of elements that satisfy the predicate
-- without copying.
dropWhile :: Unbox a => (a -> Bool) -> Vector a -> Vector a
{-# INLINE dropWhile #-}
dropWhile = G.dropWhile
-- Parititioning
-- -------------
-- | /O(n)/ Split the vector in two parts, the first one containing those
-- elements that satisfy the predicate and the second one those that don't. The
-- relative order of the elements is preserved at the cost of a sometimes
-- reduced performance compared to 'unstablePartition'.
partition :: Unbox a => (a -> Bool) -> Vector a -> (Vector a, Vector a)
{-# INLINE partition #-}
partition = G.partition
-- | /O(n)/ Split the vector in two parts, the first one containing those
-- elements that satisfy the predicate and the second one those that don't.
-- The order of the elements is not preserved but the operation is often
-- faster than 'partition'.
unstablePartition :: Unbox a => (a -> Bool) -> Vector a -> (Vector a, Vector a)
{-# INLINE unstablePartition #-}
unstablePartition = G.unstablePartition
-- | /O(n)/ Split the vector into the longest prefix of elements that satisfy
-- the predicate and the rest without copying.
span :: Unbox a => (a -> Bool) -> Vector a -> (Vector a, Vector a)
{-# INLINE span #-}
span = G.span
-- | /O(n)/ Split the vector into the longest prefix of elements that do not
-- satisfy the predicate and the rest without copying.
break :: Unbox a => (a -> Bool) -> Vector a -> (Vector a, Vector a)
{-# INLINE break #-}
break = G.break
-- Searching
-- ---------
infix 4 `elem`
-- | /O(n)/ Check if the vector contains an element
elem :: (Unbox a, Eq a) => a -> Vector a -> Bool
{-# INLINE elem #-}
elem = G.elem
infix 4 `notElem`
-- | /O(n)/ Check if the vector does not contain an element (inverse of 'elem')
notElem :: (Unbox a, Eq a) => a -> Vector a -> Bool
{-# INLINE notElem #-}
notElem = G.notElem
-- | /O(n)/ Yield 'Just' the first element matching the predicate or 'Nothing'
-- if no such element exists.
find :: Unbox a => (a -> Bool) -> Vector a -> Maybe a
{-# INLINE find #-}
find = G.find
-- | /O(n)/ Yield 'Just' the index of the first element matching the predicate
-- or 'Nothing' if no such element exists.
findIndex :: Unbox a => (a -> Bool) -> Vector a -> Maybe Int
{-# INLINE findIndex #-}
findIndex = G.findIndex
-- | /O(n)/ Yield the indices of elements satisfying the predicate in ascending
-- order.
findIndices :: Unbox a => (a -> Bool) -> Vector a -> Vector Int
{-# INLINE findIndices #-}
findIndices = G.findIndices
-- | /O(n)/ Yield 'Just' the index of the first occurence of the given element or
-- 'Nothing' if the vector does not contain the element. This is a specialised
-- version of 'findIndex'.
elemIndex :: (Unbox a, Eq a) => a -> Vector a -> Maybe Int
{-# INLINE elemIndex #-}
elemIndex = G.elemIndex
-- | /O(n)/ Yield the indices of all occurences of the given element in
-- ascending order. This is a specialised version of 'findIndices'.
elemIndices :: (Unbox a, Eq a) => a -> Vector a -> Vector Int
{-# INLINE elemIndices #-}
elemIndices = G.elemIndices
-- Folding
-- -------
-- | /O(n)/ Left fold
foldl :: Unbox b => (a -> b -> a) -> a -> Vector b -> a
{-# INLINE foldl #-}
foldl = G.foldl
-- | /O(n)/ Left fold on non-empty vectors
foldl1 :: Unbox a => (a -> a -> a) -> Vector a -> a
{-# INLINE foldl1 #-}
foldl1 = G.foldl1
-- | /O(n)/ Left fold with strict accumulator
foldl' :: Unbox b => (a -> b -> a) -> a -> Vector b -> a
{-# INLINE foldl' #-}
foldl' = G.foldl'
-- | /O(n)/ Left fold on non-empty vectors with strict accumulator
foldl1' :: Unbox a => (a -> a -> a) -> Vector a -> a
{-# INLINE foldl1' #-}
foldl1' = G.foldl1'
-- | /O(n)/ Right fold
foldr :: Unbox a => (a -> b -> b) -> b -> Vector a -> b
{-# INLINE foldr #-}
foldr = G.foldr
-- | /O(n)/ Right fold on non-empty vectors
foldr1 :: Unbox a => (a -> a -> a) -> Vector a -> a
{-# INLINE foldr1 #-}
foldr1 = G.foldr1
-- | /O(n)/ Right fold with a strict accumulator
foldr' :: Unbox a => (a -> b -> b) -> b -> Vector a -> b
{-# INLINE foldr' #-}
foldr' = G.foldr'
-- | /O(n)/ Right fold on non-empty vectors with strict accumulator
foldr1' :: Unbox a => (a -> a -> a) -> Vector a -> a
{-# INLINE foldr1' #-}
foldr1' = G.foldr1'
-- | /O(n)/ Left fold (function applied to each element and its index)
ifoldl :: Unbox b => (a -> Int -> b -> a) -> a -> Vector b -> a
{-# INLINE ifoldl #-}
ifoldl = G.ifoldl
-- | /O(n)/ Left fold with strict accumulator (function applied to each element
-- and its index)
ifoldl' :: Unbox b => (a -> Int -> b -> a) -> a -> Vector b -> a
{-# INLINE ifoldl' #-}
ifoldl' = G.ifoldl'
-- | /O(n)/ Right fold (function applied to each element and its index)
ifoldr :: Unbox a => (Int -> a -> b -> b) -> b -> Vector a -> b
{-# INLINE ifoldr #-}
ifoldr = G.ifoldr
-- | /O(n)/ Right fold with strict accumulator (function applied to each
-- element and its index)
ifoldr' :: Unbox a => (Int -> a -> b -> b) -> b -> Vector a -> b
{-# INLINE ifoldr' #-}
ifoldr' = G.ifoldr'
-- Specialised folds
-- -----------------
-- | /O(n)/ Check if all elements satisfy the predicate.
all :: Unbox a => (a -> Bool) -> Vector a -> Bool
{-# INLINE all #-}
all = G.all
-- | /O(n)/ Check if any element satisfies the predicate.
any :: Unbox a => (a -> Bool) -> Vector a -> Bool
{-# INLINE any #-}
any = G.any
-- | /O(n)/ Check if all elements are 'True'
and :: Vector Bool -> Bool
{-# INLINE and #-}
and = G.and
-- | /O(n)/ Check if any element is 'True'
or :: Vector Bool -> Bool
{-# INLINE or #-}
or = G.or
-- | /O(n)/ Compute the sum of the elements
sum :: (Unbox a, Num a) => Vector a -> a
{-# INLINE sum #-}
sum = G.sum
-- | /O(n)/ Compute the produce of the elements
product :: (Unbox a, Num a) => Vector a -> a
{-# INLINE product #-}
product = G.product
-- | /O(n)/ Yield the maximum element of the vector. The vector may not be
-- empty.
maximum :: (Unbox a, Ord a) => Vector a -> a
{-# INLINE maximum #-}
maximum = G.maximum
-- | /O(n)/ Yield the maximum element of the vector according to the given
-- comparison function. The vector may not be empty.
maximumBy :: Unbox a => (a -> a -> Ordering) -> Vector a -> a
{-# INLINE maximumBy #-}
maximumBy = G.maximumBy
-- | /O(n)/ Yield the minimum element of the vector. The vector may not be
-- empty.
minimum :: (Unbox a, Ord a) => Vector a -> a
{-# INLINE minimum #-}
minimum = G.minimum
-- | /O(n)/ Yield the minimum element of the vector according to the given
-- comparison function. The vector may not be empty.
minimumBy :: Unbox a => (a -> a -> Ordering) -> Vector a -> a
{-# INLINE minimumBy #-}
minimumBy = G.minimumBy
-- | /O(n)/ Yield the index of the maximum element of the vector. The vector
-- may not be empty.
maxIndex :: (Unbox a, Ord a) => Vector a -> Int
{-# INLINE maxIndex #-}
maxIndex = G.maxIndex
-- | /O(n)/ Yield the index of the maximum element of the vector according to
-- the given comparison function. The vector may not be empty.
maxIndexBy :: Unbox a => (a -> a -> Ordering) -> Vector a -> Int
{-# INLINE maxIndexBy #-}
maxIndexBy = G.maxIndexBy
-- | /O(n)/ Yield the index of the minimum element of the vector. The vector
-- may not be empty.
minIndex :: (Unbox a, Ord a) => Vector a -> Int
{-# INLINE minIndex #-}
minIndex = G.minIndex
-- | /O(n)/ Yield the index of the minimum element of the vector according to
-- the given comparison function. The vector may not be empty.
minIndexBy :: Unbox a => (a -> a -> Ordering) -> Vector a -> Int
{-# INLINE minIndexBy #-}
minIndexBy = G.minIndexBy
-- Monadic folds
-- -------------
-- | /O(n)/ Monadic fold
foldM :: (Monad m, Unbox b) => (a -> b -> m a) -> a -> Vector b -> m a
{-# INLINE foldM #-}
foldM = G.foldM
-- | /O(n)/ Monadic fold (action applied to each element and its index)
ifoldM :: (Monad m, Unbox b) => (a -> Int -> b -> m a) -> a -> Vector b -> m a
{-# INLINE ifoldM #-}
ifoldM = G.ifoldM
-- | /O(n)/ Monadic fold over non-empty vectors
fold1M :: (Monad m, Unbox a) => (a -> a -> m a) -> Vector a -> m a
{-# INLINE fold1M #-}
fold1M = G.fold1M
-- | /O(n)/ Monadic fold with strict accumulator
foldM' :: (Monad m, Unbox b) => (a -> b -> m a) -> a -> Vector b -> m a
{-# INLINE foldM' #-}
foldM' = G.foldM'
-- | /O(n)/ Monadic fold with strict accumulator (action applied to each
-- element and its index)
ifoldM' :: (Monad m, Unbox b) => (a -> Int -> b -> m a) -> a -> Vector b -> m a
{-# INLINE ifoldM' #-}
ifoldM' = G.ifoldM'
-- | /O(n)/ Monadic fold over non-empty vectors with strict accumulator
fold1M' :: (Monad m, Unbox a) => (a -> a -> m a) -> Vector a -> m a
{-# INLINE fold1M' #-}
fold1M' = G.fold1M'
-- | /O(n)/ Monadic fold that discards the result
foldM_ :: (Monad m, Unbox b) => (a -> b -> m a) -> a -> Vector b -> m ()
{-# INLINE foldM_ #-}
foldM_ = G.foldM_
-- | /O(n)/ Monadic fold that discards the result (action applied to each
-- element and its index)
ifoldM_ :: (Monad m, Unbox b) => (a -> Int -> b -> m a) -> a -> Vector b -> m ()
{-# INLINE ifoldM_ #-}
ifoldM_ = G.ifoldM_
-- | /O(n)/ Monadic fold over non-empty vectors that discards the result
fold1M_ :: (Monad m, Unbox a) => (a -> a -> m a) -> Vector a -> m ()
{-# INLINE fold1M_ #-}
fold1M_ = G.fold1M_
-- | /O(n)/ Monadic fold with strict accumulator that discards the result
foldM'_ :: (Monad m, Unbox b) => (a -> b -> m a) -> a -> Vector b -> m ()
{-# INLINE foldM'_ #-}
foldM'_ = G.foldM'_
-- | /O(n)/ Monadic fold with strict accumulator that discards the result
-- (action applied to each element and its index)
ifoldM'_ :: (Monad m, Unbox b)
=> (a -> Int -> b -> m a) -> a -> Vector b -> m ()
{-# INLINE ifoldM'_ #-}
ifoldM'_ = G.ifoldM'_
-- | /O(n)/ Monadic fold over non-empty vectors with strict accumulator
-- that discards the result
fold1M'_ :: (Monad m, Unbox a) => (a -> a -> m a) -> Vector a -> m ()
{-# INLINE fold1M'_ #-}
fold1M'_ = G.fold1M'_
-- Prefix sums (scans)
-- -------------------
-- | /O(n)/ Prescan
--
-- @
-- prescanl f z = 'init' . 'scanl' f z
-- @
--
-- Example: @prescanl (+) 0 \<1,2,3,4\> = \<0,1,3,6\>@
--
prescanl :: (Unbox a, Unbox b) => (a -> b -> a) -> a -> Vector b -> Vector a
{-# INLINE prescanl #-}
prescanl = G.prescanl
-- | /O(n)/ Prescan with strict accumulator
prescanl' :: (Unbox a, Unbox b) => (a -> b -> a) -> a -> Vector b -> Vector a
{-# INLINE prescanl' #-}
prescanl' = G.prescanl'
-- | /O(n)/ Scan
--
-- @
-- postscanl f z = 'tail' . 'scanl' f z
-- @
--
-- Example: @postscanl (+) 0 \<1,2,3,4\> = \<1,3,6,10\>@
--
postscanl :: (Unbox a, Unbox b) => (a -> b -> a) -> a -> Vector b -> Vector a
{-# INLINE postscanl #-}
postscanl = G.postscanl
-- | /O(n)/ Scan with strict accumulator
postscanl' :: (Unbox a, Unbox b) => (a -> b -> a) -> a -> Vector b -> Vector a
{-# INLINE postscanl' #-}
postscanl' = G.postscanl'
-- | /O(n)/ Haskell-style scan
--
-- > scanl f z <x1,...,xn> = <y1,...,y(n+1)>
-- > where y1 = z
-- > yi = f y(i-1) x(i-1)
--
-- Example: @scanl (+) 0 \<1,2,3,4\> = \<0,1,3,6,10\>@
--
scanl :: (Unbox a, Unbox b) => (a -> b -> a) -> a -> Vector b -> Vector a
{-# INLINE scanl #-}
scanl = G.scanl
-- | /O(n)/ Haskell-style scan with strict accumulator
scanl' :: (Unbox a, Unbox b) => (a -> b -> a) -> a -> Vector b -> Vector a
{-# INLINE scanl' #-}
scanl' = G.scanl'
-- | /O(n)/ Scan over a non-empty vector
--
-- > scanl f <x1,...,xn> = <y1,...,yn>
-- > where y1 = x1
-- > yi = f y(i-1) xi
--
scanl1 :: Unbox a => (a -> a -> a) -> Vector a -> Vector a
{-# INLINE scanl1 #-}
scanl1 = G.scanl1
-- | /O(n)/ Scan over a non-empty vector with a strict accumulator
scanl1' :: Unbox a => (a -> a -> a) -> Vector a -> Vector a
{-# INLINE scanl1' #-}
scanl1' = G.scanl1'
-- | /O(n)/ Right-to-left prescan
--
-- @
-- prescanr f z = 'reverse' . 'prescanl' (flip f) z . 'reverse'
-- @
--
prescanr :: (Unbox a, Unbox b) => (a -> b -> b) -> b -> Vector a -> Vector b
{-# INLINE prescanr #-}
prescanr = G.prescanr
-- | /O(n)/ Right-to-left prescan with strict accumulator
prescanr' :: (Unbox a, Unbox b) => (a -> b -> b) -> b -> Vector a -> Vector b
{-# INLINE prescanr' #-}
prescanr' = G.prescanr'
-- | /O(n)/ Right-to-left scan
postscanr :: (Unbox a, Unbox b) => (a -> b -> b) -> b -> Vector a -> Vector b
{-# INLINE postscanr #-}
postscanr = G.postscanr
-- | /O(n)/ Right-to-left scan with strict accumulator
postscanr' :: (Unbox a, Unbox b) => (a -> b -> b) -> b -> Vector a -> Vector b
{-# INLINE postscanr' #-}
postscanr' = G.postscanr'
-- | /O(n)/ Right-to-left Haskell-style scan
scanr :: (Unbox a, Unbox b) => (a -> b -> b) -> b -> Vector a -> Vector b
{-# INLINE scanr #-}
scanr = G.scanr
-- | /O(n)/ Right-to-left Haskell-style scan with strict accumulator
scanr' :: (Unbox a, Unbox b) => (a -> b -> b) -> b -> Vector a -> Vector b
{-# INLINE scanr' #-}
scanr' = G.scanr'
-- | /O(n)/ Right-to-left scan over a non-empty vector
scanr1 :: Unbox a => (a -> a -> a) -> Vector a -> Vector a
{-# INLINE scanr1 #-}
scanr1 = G.scanr1
-- | /O(n)/ Right-to-left scan over a non-empty vector with a strict
-- accumulator
scanr1' :: Unbox a => (a -> a -> a) -> Vector a -> Vector a
{-# INLINE scanr1' #-}
scanr1' = G.scanr1'
-- Conversions - Lists
-- ------------------------
-- | /O(n)/ Convert a vector to a list
toList :: Unbox a => Vector a -> [a]
{-# INLINE toList #-}
toList = G.toList
-- | /O(n)/ Convert a list to a vector
fromList :: Unbox a => [a] -> Vector a
{-# INLINE fromList #-}
fromList = G.fromList
-- | /O(n)/ Convert the first @n@ elements of a list to a vector
--
-- @
-- fromListN n xs = 'fromList' ('take' n xs)
-- @
fromListN :: Unbox a => Int -> [a] -> Vector a
{-# INLINE fromListN #-}
fromListN = G.fromListN
-- Conversions - Mutable vectors
-- -----------------------------
-- | /O(1)/ Unsafe convert a mutable vector to an immutable one without
-- copying. The mutable vector may not be used after this operation.
unsafeFreeze :: (Unbox a, PrimMonad m) => MVector (PrimState m) a -> m (Vector a)
{-# INLINE unsafeFreeze #-}
unsafeFreeze = G.unsafeFreeze
-- | /O(1)/ Unsafely convert an immutable vector to a mutable one without
-- copying. The immutable vector may not be used after this operation.
unsafeThaw :: (Unbox a, PrimMonad m) => Vector a -> m (MVector (PrimState m) a)
{-# INLINE unsafeThaw #-}
unsafeThaw = G.unsafeThaw
-- | /O(n)/ Yield a mutable copy of the immutable vector.
thaw :: (Unbox a, PrimMonad m) => Vector a -> m (MVector (PrimState m) a)
{-# INLINE thaw #-}
thaw = G.thaw
-- | /O(n)/ Yield an immutable copy of the mutable vector.
freeze :: (Unbox a, PrimMonad m) => MVector (PrimState m) a -> m (Vector a)
{-# INLINE freeze #-}
freeze = G.freeze
-- | /O(n)/ Copy an immutable vector into a mutable one. The two vectors must
-- have the same length. This is not checked.
unsafeCopy
:: (Unbox a, PrimMonad m) => MVector (PrimState m) a -> Vector a -> m ()
{-# INLINE unsafeCopy #-}
unsafeCopy = G.unsafeCopy
-- | /O(n)/ Copy an immutable vector into a mutable one. The two vectors must
-- have the same length.
copy :: (Unbox a, PrimMonad m) => MVector (PrimState m) a -> Vector a -> m ()
{-# INLINE copy #-}
copy = G.copy
#define DEFINE_IMMUTABLE
#include "unbox-tuple-instances"