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Generic.hs
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Generic.hs
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{-# LANGUAGE CPP, Rank2Types, MultiParamTypeClasses, FlexibleContexts,
TypeFamilies, ScopedTypeVariables, BangPatterns #-}
-- |
-- Module : Data.Vector.Generic
-- Copyright : (c) Roman Leshchinskiy 2008-2010
-- License : BSD-style
--
-- Maintainer : Roman Leshchinskiy <rl@cse.unsw.edu.au>
-- Stability : experimental
-- Portability : non-portable
--
-- Generic interface to pure vectors.
--
module Data.Vector.Generic (
-- * Immutable vectors
Vector(..), Mutable,
-- * 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, uncons, unsnoc,
unsafeSlice, unsafeInit, unsafeTail, unsafeTake, unsafeDrop,
-- * Construction
-- ** Initialisation
empty, singleton, replicate, generate, iterateN,
-- ** Monadic initialisation
replicateM, generateM, iterateNM, create, createT,
-- ** Unfolding
unfoldr, unfoldrN, unfoldrExactN,
unfoldrM, unfoldrNM, unfoldrExactNM,
constructN, constructrN,
-- ** Enumeration
enumFromN, enumFromStepN, enumFromTo, enumFromThenTo,
-- ** Concatenation
cons, snoc, (++), concat, concatNE,
-- ** 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_,
iforM, iforM_,
-- ** 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, partitionWith, unstablePartition, span, break,
-- ** Searching
elem, notElem, find, findIndex, findIndexR, 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'_,
-- ** Monadic sequencing
sequence, sequence_,
-- * Prefix sums (scans)
prescanl, prescanl',
postscanl, postscanl',
scanl, scanl', scanl1, scanl1',
iscanl, iscanl',
prescanr, prescanr',
postscanr, postscanr',
scanr, scanr', scanr1, scanr1',
iscanr, iscanr',
-- * Conversions
-- ** Lists
toList, fromList, fromListN,
-- ** Different vector types
convert,
-- ** Mutable vectors
freeze, thaw, copy, unsafeFreeze, unsafeThaw, unsafeCopy,
-- * Fusion support
-- ** Conversion to/from Bundles
stream, unstream, unstreamM, streamR, unstreamR,
-- ** Recycling support
new, clone,
-- * Utilities
-- ** Comparisons
eq, cmp,
eqBy, cmpBy,
-- ** Show and Read
showsPrec, readPrec,
liftShowsPrec, liftReadsPrec,
-- ** @Data@ and @Typeable@
gfoldl, gunfold, dataCast, mkVecType, mkVecConstr, mkType
) where
import Data.Vector.Generic.Base
import qualified Data.Vector.Generic.Mutable as M
import qualified Data.Vector.Generic.New as New
import Data.Vector.Generic.New ( New )
import qualified Data.Vector.Fusion.Bundle as Bundle
import Data.Vector.Fusion.Bundle ( Bundle, MBundle, lift, inplace )
import qualified Data.Vector.Fusion.Bundle.Monadic as MBundle
import Data.Vector.Fusion.Stream.Monadic ( Stream )
import qualified Data.Vector.Fusion.Stream.Monadic as S
import Data.Vector.Fusion.Bundle.Size
import Data.Vector.Fusion.Util
import Control.Monad.ST ( ST, runST )
import Control.Monad.Primitive
import Prelude hiding ( length, null,
replicate, (++), concat,
head, last,
init, tail, take, drop, splitAt, reverse,
map, concat, concatMap,
zipWith, zipWith3, zip, zip3, unzip, unzip3,
filter, takeWhile, dropWhile, span, break,
elem, notElem,
foldl, foldl1, foldr, foldr1,
all, any, and, or, sum, product, maximum, minimum,
scanl, scanl1, scanr, scanr1,
enumFromTo, enumFromThenTo,
mapM, mapM_, sequence, sequence_,
showsPrec )
import qualified Text.Read as Read
import qualified Data.List.NonEmpty as NonEmpty
import Data.Functor ((<$>))
import Data.Typeable ( Typeable, gcast1 )
#include "vector.h"
import Data.Data ( Data, DataType, Constr, Fixity(Prefix),
mkDataType, mkConstr, constrIndex, mkNoRepType )
import qualified Data.Traversable as T (Traversable(mapM))
-- Length information
-- ------------------
-- | /O(1)/ Yield the length of the vector
length :: Vector v a => v a -> Int
{-# INLINE length #-}
length = Bundle.length . stream
-- | /O(1)/ Test whether a vector is empty
null :: Vector v a => v a -> Bool
{-# INLINE null #-}
null = Bundle.null . stream
-- Indexing
-- --------
infixl 9 !
-- | O(1) Indexing
(!) :: Vector v a => v a -> Int -> a
{-# INLINE_FUSED (!) #-}
(!) v i = BOUNDS_CHECK(checkIndex) "(!)" i (length v)
$ unId (basicUnsafeIndexM v i)
infixl 9 !?
-- | O(1) Safe indexing
(!?) :: Vector v a => v a -> Int -> Maybe a
{-# INLINE_FUSED (!?) #-}
v !? i | i < 0 || i >= length v = Nothing
| otherwise = Just $ unsafeIndex v i
-- | /O(1)/ First element
head :: Vector v a => v a -> a
{-# INLINE_FUSED head #-}
head v = v ! 0
-- | /O(1)/ Last element
last :: Vector v a => v a -> a
{-# INLINE_FUSED last #-}
last v = v ! (length v - 1)
-- | /O(1)/ Unsafe indexing without bounds checking
unsafeIndex :: Vector v a => v a -> Int -> a
{-# INLINE_FUSED unsafeIndex #-}
unsafeIndex v i = UNSAFE_CHECK(checkIndex) "unsafeIndex" i (length v)
$ unId (basicUnsafeIndexM v i)
-- | /O(1)/ First element without checking if the vector is empty
unsafeHead :: Vector v a => v a -> a
{-# INLINE_FUSED unsafeHead #-}
unsafeHead v = unsafeIndex v 0
-- | /O(1)/ Last element without checking if the vector is empty
unsafeLast :: Vector v a => v a -> a
{-# INLINE_FUSED unsafeLast #-}
unsafeLast v = unsafeIndex v (length v - 1)
{-# RULES
"(!)/unstream [Vector]" forall i s.
new (New.unstream s) ! i = s Bundle.!! i
"(!?)/unstream [Vector]" forall i s.
new (New.unstream s) !? i = s Bundle.!? i
"head/unstream [Vector]" forall s.
head (new (New.unstream s)) = Bundle.head s
"last/unstream [Vector]" forall s.
last (new (New.unstream s)) = Bundle.last s
"unsafeIndex/unstream [Vector]" forall i s.
unsafeIndex (new (New.unstream s)) i = s Bundle.!! i
"unsafeHead/unstream [Vector]" forall s.
unsafeHead (new (New.unstream s)) = Bundle.head s
"unsafeLast/unstream [Vector]" forall s.
unsafeLast (new (New.unstream s)) = Bundle.last s #-}
-- 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 :: (Vector v a, Monad m) => v a -> Int -> m a
{-# INLINE_FUSED indexM #-}
indexM v i = BOUNDS_CHECK(checkIndex) "indexM" i (length v)
$ basicUnsafeIndexM v i
-- | /O(1)/ First element of a vector in a monad. See 'indexM' for an
-- explanation of why this is useful.
headM :: (Vector v a, Monad m) => v a -> m a
{-# INLINE_FUSED headM #-}
headM v = indexM v 0
-- | /O(1)/ Last element of a vector in a monad. See 'indexM' for an
-- explanation of why this is useful.
lastM :: (Vector v a, Monad m) => v a -> m a
{-# INLINE_FUSED lastM #-}
lastM v = indexM v (length v - 1)
-- | /O(1)/ Indexing in a monad without bounds checks. See 'indexM' for an
-- explanation of why this is useful.
unsafeIndexM :: (Vector v a, Monad m) => v a -> Int -> m a
{-# INLINE_FUSED unsafeIndexM #-}
unsafeIndexM v i = UNSAFE_CHECK(checkIndex) "unsafeIndexM" i (length v)
$ basicUnsafeIndexM v i
-- | /O(1)/ First element in a monad without checking for empty vectors.
-- See 'indexM' for an explanation of why this is useful.
unsafeHeadM :: (Vector v a, Monad m) => v a -> m a
{-# INLINE_FUSED unsafeHeadM #-}
unsafeHeadM v = unsafeIndexM v 0
-- | /O(1)/ Last element in a monad without checking for empty vectors.
-- See 'indexM' for an explanation of why this is useful.
unsafeLastM :: (Vector v a, Monad m) => v a -> m a
{-# INLINE_FUSED unsafeLastM #-}
unsafeLastM v = unsafeIndexM v (length v - 1)
{-# RULES
"indexM/unstream [Vector]" forall s i.
indexM (new (New.unstream s)) i = lift s MBundle.!! i
"headM/unstream [Vector]" forall s.
headM (new (New.unstream s)) = MBundle.head (lift s)
"lastM/unstream [Vector]" forall s.
lastM (new (New.unstream s)) = MBundle.last (lift s)
"unsafeIndexM/unstream [Vector]" forall s i.
unsafeIndexM (new (New.unstream s)) i = lift s MBundle.!! i
"unsafeHeadM/unstream [Vector]" forall s.
unsafeHeadM (new (New.unstream s)) = MBundle.head (lift s)
"unsafeLastM/unstream [Vector]" forall s.
unsafeLastM (new (New.unstream s)) = MBundle.last (lift s) #-}
-- Extracting subvectors (slicing)
-- -------------------------------
-- | /O(1)/ Yield a slice of the vector without copying it. The vector must
-- contain at least @i+n@ elements.
slice :: Vector v a => Int -- ^ @i@ starting index
-> Int -- ^ @n@ length
-> v a
-> v a
{-# INLINE_FUSED slice #-}
slice i n v = BOUNDS_CHECK(checkSlice) "slice" i n (length v)
$ basicUnsafeSlice i n v
-- | /O(1)/ Yield all but the last element without copying. The vector may not
-- be empty.
init :: Vector v a => v a -> v a
{-# INLINE_FUSED init #-}
init v = slice 0 (length v - 1) v
-- | /O(1)/ Yield all but the first element without copying. The vector may not
-- be empty.
tail :: Vector v a => v a -> v a
{-# INLINE_FUSED tail #-}
tail v = slice 1 (length v - 1) v
-- | /O(1)/ Yield the first @n@ elements without copying. The vector may
-- contain less than @n@ elements in which case it is returned unchanged.
take :: Vector v a => Int -> v a -> v a
{-# INLINE_FUSED take #-}
take n v = unsafeSlice 0 (delay_inline min n' (length v)) v
where n' = max n 0
-- | /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 :: Vector v a => Int -> v a -> v a
{-# INLINE_FUSED drop #-}
drop n v = unsafeSlice (delay_inline min n' len)
(delay_inline max 0 (len - n')) v
where n' = max n 0
len = length v
-- | /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_FUSED splitAt #-}
splitAt :: Vector v a => Int -> v a -> (v a, v a)
splitAt n v = ( unsafeSlice 0 m v
, unsafeSlice m (delay_inline max 0 (len - n')) v
)
where
m = delay_inline min n' len
n' = max n 0
len = length v
-- | /O(1)/ Yield the 'head' and 'tail' of the vector, or 'Nothing' if empty.
uncons :: Vector v a => v a -> Maybe (a, v a)
uncons xs = flip (,) (unsafeTail xs) <$> xs !? 0
-- | /O(1)/ Yield the 'last' and 'init' of the vector, or 'Nothing' if empty.
unsnoc :: Vector v a => v a -> Maybe (v a, a)
unsnoc xs = (,) (unsafeInit xs) <$> xs !? (length xs - 1)
-- | /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 :: Vector v a => Int -- ^ @i@ starting index
-> Int -- ^ @n@ length
-> v a
-> v a
{-# INLINE_FUSED unsafeSlice #-}
unsafeSlice i n v = UNSAFE_CHECK(checkSlice) "unsafeSlice" i n (length v)
$ basicUnsafeSlice i n v
-- | /O(1)/ Yield all but the last element without copying. The vector may not
-- be empty but this is not checked.
unsafeInit :: Vector v a => v a -> v a
{-# INLINE_FUSED unsafeInit #-}
unsafeInit v = unsafeSlice 0 (length v - 1) v
-- | /O(1)/ Yield all but the first element without copying. The vector may not
-- be empty but this is not checked.
unsafeTail :: Vector v a => v a -> v a
{-# INLINE_FUSED unsafeTail #-}
unsafeTail v = unsafeSlice 1 (length v - 1) v
-- | /O(1)/ Yield the first @n@ elements without copying. The vector must
-- contain at least @n@ elements but this is not checked.
unsafeTake :: Vector v a => Int -> v a -> v a
{-# INLINE unsafeTake #-}
unsafeTake n v = unsafeSlice 0 n v
-- | /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 :: Vector v a => Int -> v a -> v a
{-# INLINE unsafeDrop #-}
unsafeDrop n v = unsafeSlice n (length v - n) v
-- Turned off due to: https://github.com/haskell/vector/issues/257
-- "slice/new [Vector]" forall i n p.
-- slice i n (new p) = new (New.slice i n p)
{-# RULES
"init/new [Vector]" forall p.
init (new p) = new (New.init p)
"tail/new [Vector]" forall p.
tail (new p) = new (New.tail p)
"take/new [Vector]" forall n p.
take n (new p) = new (New.take n p)
"drop/new [Vector]" forall n p.
drop n (new p) = new (New.drop n p)
"unsafeSlice/new [Vector]" forall i n p.
unsafeSlice i n (new p) = new (New.unsafeSlice i n p)
"unsafeInit/new [Vector]" forall p.
unsafeInit (new p) = new (New.unsafeInit p)
"unsafeTail/new [Vector]" forall p.
unsafeTail (new p) = new (New.unsafeTail p) #-}
-- Initialisation
-- --------------
-- | /O(1)/ Empty vector
empty :: Vector v a => v a
{-# INLINE empty #-}
empty = unstream Bundle.empty
-- | /O(1)/ Vector with exactly one element
singleton :: forall v a. Vector v a => a -> v a
{-# INLINE singleton #-}
singleton x = elemseq (undefined :: v a) x
$ unstream (Bundle.singleton x)
-- | /O(n)/ Vector of the given length with the same value in each position
replicate :: forall v a. Vector v a => Int -> a -> v a
{-# INLINE replicate #-}
replicate n x = elemseq (undefined :: v a) x
$ unstream
$ Bundle.replicate n x
-- | /O(n)/ Construct a vector of the given length by applying the function to
-- each index
generate :: Vector v a => Int -> (Int -> a) -> v a
{-# INLINE generate #-}
generate n f = unstream (Bundle.generate n f)
-- | /O(n)/ Apply function \(\max\{n - 1, 0\}\) times to value, producing a
-- vector of length /n/. Zeroth element is original value.
iterateN :: Vector v a => Int -> (a -> a) -> a -> v a
{-# INLINE iterateN #-}
iterateN n f x = unstream (Bundle.iterateN n f x)
-- 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 :: Vector v a => (b -> Maybe (a, b)) -> b -> v a
{-# INLINE unfoldr #-}
unfoldr f = unstream . Bundle.unfoldr f
-- | /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 :: Vector v a => Int -> (b -> Maybe (a, b)) -> b -> v a
{-# INLINE unfoldrN #-}
unfoldrN n f = unstream . Bundle.unfoldrN n f
-- | /O(n)/ Construct a vector with exactly @n@ elements by repeatedly applying
-- the generator function to a seed. The generator function yields the
-- next element and the new seed.
--
-- > unfoldrExactN 3 (\n -> (n,n-1)) 10 = <10,9,8>
unfoldrExactN :: Vector v a => Int -> (b -> (a, b)) -> b -> v a
{-# INLINE unfoldrExactN #-}
unfoldrExactN n f = unstream . Bundle.unfoldrExactN n f
-- | /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, Vector v a) => (b -> m (Maybe (a, b))) -> b -> m (v a)
{-# INLINE unfoldrM #-}
unfoldrM f = unstreamM . MBundle.unfoldrM f
-- | /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, Vector v a) => Int -> (b -> m (Maybe (a, b))) -> b -> m (v a)
{-# INLINE unfoldrNM #-}
unfoldrNM n f = unstreamM . MBundle.unfoldrNM n f
-- | /O(n)/ Construct a vector with exactly @n@ elements by repeatedly
-- applying the monadic generator function to a seed. The generator
-- function yields the next element and the new seed.
unfoldrExactNM :: (Monad m, Vector v a) => Int -> (b -> m (a, b)) -> b -> m (v a)
{-# INLINE unfoldrExactNM #-}
unfoldrExactNM n f = unstreamM . MBundle.unfoldrExactNM n f
-- | /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 <a,b,c>
--
constructN :: forall v a. Vector v a => Int -> (v a -> a) -> v a
{-# INLINE constructN #-}
-- NOTE: We *CANNOT* wrap this in New and then fuse because the elements
-- might contain references to the immutable vector!
constructN !n f = runST (
do
v <- M.new n
v' <- unsafeFreeze v
fill v' 0
)
where
fill :: forall s. v a -> Int -> ST s (v a)
fill !v i | i < n = let x = f (unsafeTake i v)
in
elemseq v x $
do
v' <- unsafeThaw v
M.unsafeWrite v' i x
v'' <- unsafeFreeze v'
fill v'' (i+1)
fill v _ = return v
-- | /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 <c,b,a>
--
constructrN :: forall v a. Vector v a => Int -> (v a -> a) -> v a
{-# INLINE constructrN #-}
-- NOTE: We *CANNOT* wrap this in New and then fuse because the elements
-- might contain references to the immutable vector!
constructrN !n f = runST (
do
v <- n `seq` M.new n
v' <- unsafeFreeze v
fill v' 0
)
where
fill :: forall s. v a -> Int -> ST s (v a)
fill !v i | i < n = let x = f (unsafeSlice (n-i) i v)
in
elemseq v x $
do
v' <- unsafeThaw v
M.unsafeWrite v' (n-i-1) x
v'' <- unsafeFreeze v'
fill v'' (i+1)
fill v _ = return v
-- 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 :: (Vector v a, Num a) => a -> Int -> v a
{-# INLINE enumFromN #-}
enumFromN x n = enumFromStepN x 1 n
-- | /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 :: forall v a. (Vector v a, Num a) => a -> a -> Int -> v a
{-# INLINE enumFromStepN #-}
enumFromStepN x y n = elemseq (undefined :: v a) x
$ elemseq (undefined :: v a) y
$ unstream
$ Bundle.enumFromStepN x y n
-- | /O(n)/ Enumerate values from @x@ to @y@.
--
-- /WARNING:/ This operation can be very inefficient. If at all possible, use
-- 'enumFromN' instead.
enumFromTo :: (Vector v a, Enum a) => a -> a -> v a
{-# INLINE enumFromTo #-}
enumFromTo x y = unstream (Bundle.enumFromTo x y)
-- | /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 :: (Vector v a, Enum a) => a -> a -> a -> v a
{-# INLINE enumFromThenTo #-}
enumFromThenTo x y z = unstream (Bundle.enumFromThenTo x y z)
-- Concatenation
-- -------------
-- | /O(n)/ Prepend an element
cons :: forall v a. Vector v a => a -> v a -> v a
{-# INLINE cons #-}
cons x v = elemseq (undefined :: v a) x
$ unstream
$ Bundle.cons x
$ stream v
-- | /O(n)/ Append an element
snoc :: forall v a. Vector v a => v a -> a -> v a
{-# INLINE snoc #-}
snoc v x = elemseq (undefined :: v a) x
$ unstream
$ Bundle.snoc (stream v) x
infixr 5 ++
-- | /O(m+n)/ Concatenate two vectors
(++) :: Vector v a => v a -> v a -> v a
{-# INLINE (++) #-}
v ++ w = unstream (stream v Bundle.++ stream w)
-- | /O(n)/ Concatenate all vectors in the list
concat :: Vector v a => [v a] -> v a
{-# INLINE concat #-}
concat = unstream . Bundle.fromVectors
{-
concat vs = unstream (Bundle.flatten mk step (Exact n) (Bundle.fromList vs))
where
n = List.foldl' (\k v -> k + length v) 0 vs
{-# INLINE_INNER step #-}
step (v,i,k)
| i < k = case unsafeIndexM v i of
Box x -> Bundle.Yield x (v,i+1,k)
| otherwise = Bundle.Done
{-# INLINE mk #-}
mk v = let k = length v
in
k `seq` (v,0,k)
-}
-- | /O(n)/ Concatenate all vectors in the non-empty list
concatNE :: Vector v a => NonEmpty.NonEmpty (v a) -> v a
concatNE = concat . NonEmpty.toList
-- Monadic initialisation
-- ----------------------
-- | /O(n)/ Execute the monadic action the given number of times and store the
-- results in a vector.
replicateM :: (Monad m, Vector v a) => Int -> m a -> m (v a)
{-# INLINE replicateM #-}
replicateM n m = unstreamM (MBundle.replicateM n m)
-- | /O(n)/ Construct a vector of the given length by applying the monadic
-- action to each index
generateM :: (Monad m, Vector v a) => Int -> (Int -> m a) -> m (v a)
{-# INLINE generateM #-}
generateM n f = unstreamM (MBundle.generateM n f)
-- | /O(n)/ Apply monadic function \(\max\{n - 1, 0\}\) times to value,
-- producing a vector of length /n/. Zeroth element is original value.
iterateNM :: (Monad m, Vector v a) => Int -> (a -> m a) -> a -> m (v a)
{-# INLINE iterateNM #-}
iterateNM n f x = unstreamM (MBundle.iterateNM n f x)
-- | Execute the monadic action and freeze the resulting vector.
--
-- @
-- create (do { v \<- 'M.new' 2; 'M.write' v 0 \'a\'; 'M.write' v 1 \'b\'; return v }) = \<'a','b'\>
-- @
create :: Vector v a => (forall s. ST s (Mutable v s a)) -> v a
{-# INLINE create #-}
create p = new (New.create p)
-- | Execute the monadic action and freeze the resulting vectors.
createT
:: (T.Traversable f, Vector v a)
=> (forall s. ST s (f (Mutable v s a))) -> f (v a)
{-# INLINE createT #-}
createT p = runST (p >>= T.mapM unsafeFreeze)
-- 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 :: Vector v a => v a -> v a
-- FIXME: we probably ought to inline this later as the rules still might fire
-- otherwise
{-# INLINE_FUSED force #-}
force v = new (clone v)
-- 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>
--
(//) :: Vector v a => v a -- ^ initial vector (of length @m@)
-> [(Int, a)] -- ^ list of index/value pairs (of length @n@)
-> v a
{-# INLINE (//) #-}
v // us = update_stream v (Bundle.fromList us)
-- | /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 :: (Vector v a, Vector v (Int, a))
=> v a -- ^ initial vector (of length @m@)
-> v (Int, a) -- ^ vector of index/value pairs (of length @n@)
-> v a
{-# INLINE update #-}
update v w = update_stream v (stream w)
-- | /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>
--
-- This function is useful for instances of 'Vector' that cannot store pairs.
-- Otherwise, 'update' is probably more convenient.
--
-- @
-- update_ xs is ys = 'update' xs ('zip' is ys)
-- @
update_ :: (Vector v a, Vector v Int)
=> v a -- ^ initial vector (of length @m@)
-> v Int -- ^ index vector (of length @n1@)
-> v a -- ^ value vector (of length @n2@)
-> v a
{-# INLINE update_ #-}
update_ v is w = update_stream v (Bundle.zipWith (,) (stream is) (stream w))
update_stream :: Vector v a => v a -> Bundle u (Int,a) -> v a
{-# INLINE update_stream #-}
update_stream = modifyWithBundle M.update
-- | Same as ('//') but without bounds checking.
unsafeUpd :: Vector v a => v a -> [(Int, a)] -> v a
{-# INLINE unsafeUpd #-}
unsafeUpd v us = unsafeUpdate_stream v (Bundle.fromList us)
-- | Same as 'update' but without bounds checking.
unsafeUpdate :: (Vector v a, Vector v (Int, a)) => v a -> v (Int, a) -> v a
{-# INLINE unsafeUpdate #-}
unsafeUpdate v w = unsafeUpdate_stream v (stream w)
-- | Same as 'update_' but without bounds checking.
unsafeUpdate_ :: (Vector v a, Vector v Int) => v a -> v Int -> v a -> v a
{-# INLINE unsafeUpdate_ #-}
unsafeUpdate_ v is w
= unsafeUpdate_stream v (Bundle.zipWith (,) (stream is) (stream w))
unsafeUpdate_stream :: Vector v a => v a -> Bundle u (Int,a) -> v a
{-# INLINE unsafeUpdate_stream #-}
unsafeUpdate_stream = modifyWithBundle M.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 :: Vector v a
=> (a -> b -> a) -- ^ accumulating function @f@
-> v a -- ^ initial vector (of length @m@)
-> [(Int,b)] -- ^ list of index/value pairs (of length @n@)
-> v a
{-# INLINE accum #-}
accum f v us = accum_stream f v (Bundle.fromList us)
-- | /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 :: (Vector v a, Vector v (Int, b))
=> (a -> b -> a) -- ^ accumulating function @f@
-> v a -- ^ initial vector (of length @m@)
-> v (Int,b) -- ^ vector of index/value pairs (of length @n@)
-> v a
{-# INLINE accumulate #-}
accumulate f v us = accum_stream f v (stream us)
-- | /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>
--
-- This function is useful for instances of 'Vector' that cannot store pairs.
-- Otherwise, 'accumulate' is probably more convenient:
--
-- @
-- accumulate_ f as is bs = 'accumulate' f as ('zip' is bs)
-- @
accumulate_ :: (Vector v a, Vector v Int, Vector v b)
=> (a -> b -> a) -- ^ accumulating function @f@
-> v a -- ^ initial vector (of length @m@)
-> v Int -- ^ index vector (of length @n1@)
-> v b -- ^ value vector (of length @n2@)
-> v a
{-# INLINE accumulate_ #-}
accumulate_ f v is xs = accum_stream f v (Bundle.zipWith (,) (stream is)
(stream xs))
accum_stream :: Vector v a => (a -> b -> a) -> v a -> Bundle u (Int,b) -> v a
{-# INLINE accum_stream #-}
accum_stream f = modifyWithBundle (M.accum f)
-- | Same as 'accum' but without bounds checking.
unsafeAccum :: Vector v a => (a -> b -> a) -> v a -> [(Int,b)] -> v a
{-# INLINE unsafeAccum #-}
unsafeAccum f v us = unsafeAccum_stream f v (Bundle.fromList us)
-- | Same as 'accumulate' but without bounds checking.
unsafeAccumulate :: (Vector v a, Vector v (Int, b))
=> (a -> b -> a) -> v a -> v (Int,b) -> v a
{-# INLINE unsafeAccumulate #-}
unsafeAccumulate f v us = unsafeAccum_stream f v (stream us)
-- | Same as 'accumulate_' but without bounds checking.
unsafeAccumulate_ :: (Vector v a, Vector v Int, Vector v b)
=> (a -> b -> a) -> v a -> v Int -> v b -> v a
{-# INLINE unsafeAccumulate_ #-}
unsafeAccumulate_ f v is xs
= unsafeAccum_stream f v (Bundle.zipWith (,) (stream is) (stream xs))
unsafeAccum_stream
:: Vector v a => (a -> b -> a) -> v a -> Bundle u (Int,b) -> v a
{-# INLINE unsafeAccum_stream #-}
unsafeAccum_stream f = modifyWithBundle (M.unsafeAccum f)
-- Permutations
-- ------------
-- | /O(n)/ Reverse a vector
reverse :: (Vector v a) => v a -> v a
{-# INLINE reverse #-}
-- FIXME: make this fuse better, add support for recycling
reverse = unstream . streamR
-- | /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 :: (Vector v a, Vector v Int)
=> v a -- ^ @xs@ value vector
-> v Int -- ^ @is@ index vector (of length @n@)
-> v a
{-# INLINE backpermute #-}
-- This somewhat non-intuitive definition ensures that the resulting vector
-- does not retain references to the original one even if it is lazy in its
-- elements. This would not be the case if we simply used map (v!)
backpermute v is = seq v
$ seq n
$ unstream
$ Bundle.unbox
$ Bundle.map index
$ stream is
where
n = length v
{-# INLINE index #-}
-- NOTE: we do it this way to avoid triggering LiberateCase on n in
-- polymorphic code
index i = BOUNDS_CHECK(checkIndex) "backpermute" i n
$ basicUnsafeIndexM v i
-- | Same as 'backpermute' but without bounds checking.
unsafeBackpermute :: (Vector v a, Vector v Int) => v a -> v Int -> v a
{-# INLINE unsafeBackpermute #-}
unsafeBackpermute v is = seq v
$ seq n
$ unstream
$ Bundle.unbox
$ Bundle.map index
$ stream is
where
n = length v
{-# INLINE index #-}
-- NOTE: we do it this way to avoid triggering LiberateCase on n in
-- polymorphic code
index i = UNSAFE_CHECK(checkIndex) "unsafeBackpermute" i n
$ basicUnsafeIndexM v i
-- 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