-- Hoogle documentation, generated by Haddock
-- See Hoogle, http://www.haskell.org/hoogle/

-- | Mutable and immutable arrays
--   
--   In addition to providing the Data.Array module as specified
--   in the Haskell 2010 Language Report, this package also defines the
--   classes IArray of immutable arrays and MArray of arrays
--   mutable within appropriate monads, as well as some instances of these
--   classes.
@package array
@version 0.5.8.0

-- | Basic non-strict arrays.
--   
--   Note: The Data.Array.IArray module provides a more
--   general interface to immutable arrays: it defines operations with the
--   same names as those defined below, but with more general types, and
--   also defines Array instances of the relevant classes. To use
--   that more general interface, import Data.Array.IArray but not
--   Data.Array.
module Data.Array
data Array i e
array :: Ix i => (i, i) -> [(i, e)] -> Array i e
listArray :: Ix i => (i, i) -> [e] -> Array i e
accumArray :: Ix i => (e -> a -> e) -> e -> (i, i) -> [(i, a)] -> Array i e
(!) :: Ix i => Array i e -> i -> e
bounds :: Array i e -> (i, i)
indices :: Ix i => Array i e -> [i]
elems :: Array i e -> [e]
assocs :: Ix i => Array i e -> [(i, e)]
(//) :: Ix i => Array i e -> [(i, e)] -> Array i e
accum :: Ix i => (e -> a -> e) -> Array i e -> [(i, a)] -> Array i e
ixmap :: (Ix i, Ix j) => (i, i) -> (i -> j) -> Array j e -> Array i e

-- | Basis for IArray and MArray. Not intended for external consumption;
--   use IArray or MArray instead.
--   
--   
WARNING
--   
--   This module is considered internal.
--   
--   The Package Versioning Policy does not apply.
--   
--   The contents of this module may change in any way whatsoever
--   and without any warning between minor versions of this package.
--   
--   Authors importing this module are expected to track development
--   closely.
module Data.Array.Base

-- | Class of immutable array types.
--   
--   An array type has the form (a i e) where a is the
--   array type constructor (kind * -> * -> *), i
--   is the index type (a member of the class Ix), and e is
--   the element type. The IArray class is parameterised over both
--   a and e, so that instances specialised to certain
--   element types can be defined.
class IArray (a :: Type -> Type -> Type) e

-- | Extracts the bounds of an immutable array
bounds :: (IArray a e, Ix i) => a i e -> (i, i)
numElements :: (IArray a e, Ix i) => a i e -> Int
unsafeArray :: (IArray a e, Ix i) => (i, i) -> [(Int, e)] -> a i e
unsafeAt :: (IArray a e, Ix i) => a i e -> Int -> e
unsafeReplace :: (IArray a e, Ix i) => a i e -> [(Int, e)] -> a i e
unsafeAccum :: (IArray a e, Ix i) => (e -> e' -> e) -> a i e -> [(Int, e')] -> a i e
unsafeAccumArray :: (IArray a e, Ix i) => (e -> e' -> e) -> e -> (i, i) -> [(Int, e')] -> a i e
safeRangeSize :: Ix i => (i, i) -> Int
safeIndex :: Ix i => (i, i) -> Int -> i -> Int
unsafeReplaceST :: (IArray a e, Ix i) => a i e -> [(Int, e)] -> ST s (STArray s i e)
unsafeAccumST :: (IArray a e, Ix i) => (e -> e' -> e) -> a i e -> [(Int, e')] -> ST s (STArray s i e)
unsafeAccumArrayST :: Ix i => (e -> e' -> e) -> e -> (i, i) -> [(Int, e')] -> ST s (STArray s i e)

-- | Constructs an immutable array from a pair of bounds and a list of
--   initial associations.
--   
--   The bounds are specified as a pair of the lowest and highest bounds in
--   the array respectively. For example, a one-origin vector of length 10
--   has bounds (1,10), and a one-origin 10 by 10 matrix has bounds
--   ((1,1),(10,10)).
--   
--   An association is a pair of the form (i,x), which defines the
--   value of the array at index i to be x. The array is
--   undefined if any index in the list is out of bounds. If any two
--   associations in the list have the same index, the value at that index
--   is implementation-dependent. (In GHC, the last value specified for
--   that index is used. Other implementations will also do this for
--   unboxed arrays, but Haskell 98 requires that for Array the
--   value at such indices is bottom.)
--   
--   Because the indices must be checked for these errors, array is
--   strict in the bounds argument and in the indices of the association
--   list. Whether array is strict or non-strict in the elements
--   depends on the array type: Array is a non-strict array type,
--   but all of the UArray arrays are strict. Thus in a non-strict
--   array, recurrences such as the following are possible:
--   
--   
--   a = array (1,100) ((1,1) : [(i, i * a!(i-1)) | i \<- [2..100]])
--   
--   
--   Not every index within the bounds of the array need appear in the
--   association list, but the values associated with indices that do not
--   appear will be undefined.
--   
--   If, in any dimension, the lower bound is greater than the upper bound,
--   then the array is legal, but empty. Indexing an empty array always
--   gives an array-bounds error, but bounds still yields the bounds
--   with which the array was constructed.
array :: (IArray a e, Ix i) => (i, i) -> [(i, e)] -> a i e

-- | Constructs an immutable array from a list of initial elements. The
--   list gives the elements of the array in ascending order beginning with
--   the lowest index.
listArray :: (IArray a e, Ix i) => (i, i) -> [e] -> a i e

-- | Constructs an immutable array using a generator function.
genArray :: (IArray a e, Ix i) => (i, i) -> (i -> e) -> a i e
listArrayST :: Ix i => (i, i) -> [e] -> ST s (STArray s i e)
listUArrayST :: (MArray (STUArray s) e (ST s), Ix i) => (i, i) -> [e] -> ST s (STUArray s i e)
type ListUArray e = forall i. Ix i => (i, i) -> [e] -> UArray i e

-- | Returns the element of an immutable array at the specified index, or
--   throws an exception if the index is out of bounds.
(!) :: (IArray a e, Ix i) => a i e -> i -> e

-- | Returns Just the element of an immutable array at the specified
--   index, or Nothing if the index is out of bounds.
(!?) :: (IArray a e, Ix i) => a i e -> i -> Maybe e

-- | Returns a list of all the valid indices in an array.
indices :: (IArray a e, Ix i) => a i e -> [i]

-- | Returns a list of all the elements of an array, in the same order as
--   their indices.
elems :: (IArray a e, Ix i) => a i e -> [e]

-- | Returns the contents of an array as a list of associations.
assocs :: (IArray a e, Ix i) => a i e -> [(i, e)]

-- | Constructs an immutable array from a list of associations. Unlike
--   array, the same index is allowed to occur multiple times in the
--   list of associations; an accumulating function is used to
--   combine the values of elements with the same index.
--   
--   For example, given a list of values of some index type, hist produces
--   a histogram of the number of occurrences of each index within a
--   specified range:
--   
--   
--   hist :: (Ix a, Num b) => (a,a) -> [a] -> Array a b
--   hist bnds is = accumArray (+) 0 bnds [(i, 1) | i\<-is, inRange bnds i]
--   
accumArray :: (IArray a e, Ix i) => (e -> e' -> e) -> e -> (i, i) -> [(i, e')] -> a i e

-- | Takes an array and a list of pairs and returns an array identical to
--   the left argument except that it has been updated by the associations
--   in the right argument. For example, if m is a 1-origin, n by n matrix,
--   then m//[((i,i), 0) | i <- [1..n]] is the same matrix,
--   except with the diagonal zeroed.
--   
--   As with the array function, if any two associations in the list
--   have the same index, the value at that index is
--   implementation-dependent. (In GHC, the last value specified for that
--   index is used. Other implementations will also do this for unboxed
--   arrays, but Haskell 98 requires that for Array the value at
--   such indices is bottom.)
--   
--   For most array types, this operation is O(n) where n is
--   the size of the array. However, the diffarray package provides an
--   array type for which this operation has complexity linear in the
--   number of updates.
(//) :: (IArray a e, Ix i) => a i e -> [(i, e)] -> a i e

-- | accum f takes an array and an association list and
--   accumulates pairs from the list into the array with the accumulating
--   function f. Thus accumArray can be defined using
--   accum:
--   
--   
--   accumArray f z b = accum f (array b [(i, z) | i \<- range b])
--   
accum :: (IArray a e, Ix i) => (e -> e' -> e) -> a i e -> [(i, e')] -> a i e

-- | Returns a new array derived from the original array by applying a
--   function to each of the elements.
amap :: (IArray a e', IArray a e, Ix i) => (e' -> e) -> a i e' -> a i e

-- | Returns a new array derived from the original array by applying a
--   function to each of the indices.
ixmap :: (IArray a e, Ix i, Ix j) => (i, i) -> (i -> j) -> a j e -> a i e

-- | Lazy right-associative fold.
foldrArray :: (IArray a e, Ix i) => (e -> b -> b) -> b -> a i e -> b

-- | Strict accumulating left-associative fold.
foldlArray' :: (IArray a e, Ix i) => (b -> e -> b) -> b -> a i e -> b

-- | Lazy left-associative fold.
foldlArray :: (IArray a e, Ix i) => (b -> e -> b) -> b -> a i e -> b

-- | Strict accumulating right-associative fold.
foldrArray' :: (IArray a e, Ix i) => (e -> b -> b) -> b -> a i e -> b

-- | Map elements to applicative actions, sequence them left-to-right, and
--   discard the results.
traverseArray_ :: (IArray a e, Ix i, Applicative f) => (e -> f b) -> a i e -> f ()

-- | forArray_ is traverseArray_ with its arguments
--   flipped.
forArray_ :: (IArray a e, Ix i, Applicative f) => a i e -> (e -> f b) -> f ()

-- | Strict accumulating left-associative monadic fold.
foldlArrayM' :: (IArray a e, Ix i, Monad m) => (b -> e -> m b) -> b -> a i e -> m b

-- | Strict accumulating right-associative monadic fold.
foldrArrayM' :: (IArray a e, Ix i, Monad m) => (e -> b -> m b) -> b -> a i e -> m b

-- | Arrays with unboxed elements. Instances of IArray are provided
--   for UArray with certain element types (Int,
--   Float, Char, etc.; see the UArray class for a
--   full list).
--   
--   A UArray will generally be more efficient (in terms of both
--   time and space) than the equivalent Array with the same element
--   type. However, UArray is strict in its elements - so don't use
--   UArray if you require the non-strictness that Array
--   provides.
--   
--   Because the IArray interface provides operations overloaded
--   on the type of the array, it should be possible to just change the
--   array type being used by a program from say Array to
--   UArray to get the benefits of unboxed arrays (don't forget to
--   import Data.Array.Unboxed instead of Data.Array).
data UArray i e
UArray :: !i -> !i -> !Int -> ByteArray# -> UArray i e
unsafeArrayUArray :: (MArray (STUArray s) e (ST s), Ix i) => (i, i) -> [(Int, e)] -> e -> ST s (UArray i e)
unsafeFreezeSTUArray :: STUArray s i e -> ST s (UArray i e)
unsafeReplaceUArray :: (MArray (STUArray s) e (ST s), Ix i) => UArray i e -> [(Int, e)] -> ST s (UArray i e)
unsafeAccumUArray :: (MArray (STUArray s) e (ST s), Ix i) => (e -> e' -> e) -> UArray i e -> [(Int, e')] -> ST s (UArray i e)
unsafeAccumArrayUArray :: (MArray (STUArray s) e (ST s), Ix i) => (e -> e' -> e) -> e -> (i, i) -> [(Int, e')] -> ST s (UArray i e)
eqUArray :: (IArray UArray e, Ix i, Eq e) => UArray i e -> UArray i e -> Bool
cmpUArray :: (IArray UArray e, Ix i, Ord e) => UArray i e -> UArray i e -> Ordering
cmpIntUArray :: (IArray UArray e, Ord e) => UArray Int e -> UArray Int e -> Ordering
showsIArray :: (IArray a e, Ix i, Show i, Show e) => Int -> a i e -> ShowS
readIArray :: (IArray a e, Ix i, Read i, Read e) => ReadPrec (a i e)
nullStablePtr :: StablePtr a
arrEleBottom :: a

-- | Class of mutable array types.
--   
--   An array type has the form (a i e) where a is the
--   array type constructor (kind * -> * -> *), i
--   is the index type (a member of the class Ix), and e is
--   the element type.
--   
--   The MArray class is parameterised over both a and
--   e (so that instances specialised to certain element types can
--   be defined, in the same way as for IArray), and also over the
--   type of the monad, m, in which the mutable array will be
--   manipulated.
class Monad m => MArray (a :: Type -> Type -> Type) e (m :: Type -> Type)

-- | Returns the bounds of the array (lowest,highest).
getBounds :: (MArray a e m, Ix i) => a i e -> m (i, i)

-- | Returns the number of elements in the array.
getNumElements :: (MArray a e m, Ix i) => a i e -> m Int

-- | Builds a new array, with every element initialised to the supplied
--   value. The first and second element of the tuple specifies the lowest
--   and highest index, respectively.
newArray :: (MArray a e m, Ix i) => (i, i) -> e -> m (a i e)

-- | Builds a new array, with every element initialised to an undefined
--   value. In a monadic context in which operations must be deterministic
--   (e.g. the ST monad), the array elements are initialised to a fixed but
--   undefined value, such as zero. The first and second element of the
--   tuple specifies the lowest and highest index, respectively.
newArray_ :: (MArray a e m, Ix i) => (i, i) -> m (a i e)

-- | Builds a new array, with every element initialised to an undefined
--   value. The first and second element of the tuple specifies the lowest
--   and highest index, respectively.
unsafeNewArray_ :: (MArray a e m, Ix i) => (i, i) -> m (a i e)
unsafeRead :: (MArray a e m, Ix i) => a i e -> Int -> m e
unsafeWrite :: (MArray a e m, Ix i) => a i e -> Int -> e -> m ()

-- | Constructs a mutable array from a list of initial elements. The list
--   gives the elements of the array in ascending order beginning with the
--   lowest index. The first and second element of the tuple specifies the
--   lowest and highest index, respectively.
newListArray :: (MArray a e m, Ix i) => (i, i) -> [e] -> m (a i e)

-- | Constructs a mutable array using a generator function. It invokes the
--   generator function in ascending order of the indices.
newGenArray :: (MArray a e m, Ix i) => (i, i) -> (i -> m e) -> m (a i e)

-- | Read an element from a mutable array
readArray :: (MArray a e m, Ix i) => a i e -> i -> m e

-- | Write an element in a mutable array
writeArray :: (MArray a e m, Ix i) => a i e -> i -> e -> m ()

-- | Modify an element in a mutable array
modifyArray :: (MArray a e m, Ix i) => a i e -> i -> (e -> e) -> m ()

-- | Modify an element in a mutable array. Strict in the written element.
modifyArray' :: (MArray a e m, Ix i) => a i e -> i -> (e -> e) -> m ()

-- | Return a list of all the elements of a mutable array
getElems :: (MArray a e m, Ix i) => a i e -> m [e]

-- | Return a list of all the associations of a mutable array, in index
--   order.
getAssocs :: (MArray a e m, Ix i) => a i e -> m [(i, e)]

-- | Constructs a new array derived from the original array by applying a
--   function to each of the elements.
mapArray :: (MArray a e' m, MArray a e m, Ix i) => (e' -> e) -> a i e' -> m (a i e)

-- | Constructs a new array derived from the original array by applying a
--   function to each of the indices.
mapIndices :: (MArray a e m, Ix i, Ix j) => (i, i) -> (i -> j) -> a j e -> m (a i e)

-- | Strict accumulating left-associative fold.
foldlMArray' :: (MArray a e m, Ix i) => (b -> e -> b) -> b -> a i e -> m b

-- | Strict accumulating right-associative fold.
foldrMArray' :: (MArray a e m, Ix i) => (e -> b -> b) -> b -> a i e -> m b

-- | Strict accumulating left-associative monadic fold.
foldlMArrayM' :: (MArray a e m, Ix i) => (b -> e -> m b) -> b -> a i e -> m b

-- | Strict accumulating right-associative monadic fold.
foldrMArrayM' :: (MArray a e m, Ix i) => (e -> b -> m b) -> b -> a i e -> m b

-- | Map elements to monadic actions, sequence them left-to-right, and
--   discard the results.
mapMArrayM_ :: (MArray a e m, Ix i) => (e -> m b) -> a i e -> m ()

-- | forMArrayM_ is mapMArrayM_ with its arguments flipped.
forMArrayM_ :: (MArray a e m, Ix i) => a i e -> (e -> m b) -> m ()

-- | A mutable array with unboxed elements, that can be manipulated in the
--   ST monad. The type arguments are as follows:
--   
--   
--   
- s: the state variable argument for the ST
--   type
--   
- i: the index type of the array (should be an instance of
--   Ix)
--   
- e: the element type of the array. Only certain element
--   types are supported.
--   
--   
--   An STUArray will generally be more efficient (in terms of both
--   time and space) than the equivalent boxed version (STArray)
--   with the same element type. However, STUArray is strict in its
--   elements - so don't use STUArray if you require the
--   non-strictness that STArray provides.
data STUArray s i e
STUArray :: !i -> !i -> !Int -> MutableByteArray# s -> STUArray s i e
unsafeNewArraySTUArray_ :: Ix i => (i, i) -> (Int# -> Int#) -> ST s (STUArray s i e)
bOOL_SCALE :: Int# -> Int#
wORD_SCALE :: Int# -> Int#
dOUBLE_SCALE :: Int# -> Int#
fLOAT_SCALE :: Int# -> Int#
safe_scale :: Int# -> Int# -> Int#

-- | The index of the word which the given Bool array elements
--   falls within.
bOOL_INDEX :: Int# -> Int#
bOOL_BIT :: Int# -> Word#
bOOL_NOT_BIT :: Int# -> Word#

-- | Converts a mutable array (any instance of MArray) to an
--   immutable array (any instance of IArray) by taking a complete
--   copy of it.
freeze :: (Ix i, MArray a e m, IArray b e) => a i e -> m (b i e)
freezeSTUArray :: STUArray s i e -> ST s (UArray i e)
memcpy_freeze :: MutableByteArray# s -> MutableByteArray# s -> CSize -> IO (Ptr a)

-- | Converts an mutable array into an immutable array. The implementation
--   may either simply cast the array from one type to the other without
--   copying the array, or it may take a full copy of the array.
--   
--   Note that because the array is possibly not copied, any subsequent
--   modifications made to the mutable version of the array may be shared
--   with the immutable version. It is safe to use, therefore, if the
--   mutable version is never modified after the freeze operation.
--   
--   The non-copying implementation is supported between certain pairs of
--   array types only; one constraint is that the array types must have
--   identical representations. In GHC, The following pairs of array types
--   have a non-copying O(1) implementation of unsafeFreeze. Because
--   the optimised versions are enabled by specialisations, you will need
--   to compile with optimisation (-O) to get them.
--   
--   
--   
- IOUArray -> UArray
--   
- STUArray -> UArray
--   
- IOArray -> Array
--   
- STArray -> Array
--   
unsafeFreeze :: (Ix i, MArray a e m, IArray b e) => a i e -> m (b i e)

-- | Converts an immutable array (any instance of IArray) into a
--   mutable array (any instance of MArray) by taking a complete
--   copy of it.
thaw :: (Ix i, IArray a e, MArray b e m) => a i e -> m (b i e)
thawSTUArray :: UArray i e -> ST s (STUArray s i e)
memcpy_thaw :: MutableByteArray# s -> ByteArray# -> CSize -> IO (Ptr a)

-- | Converts an immutable array into a mutable array. The implementation
--   may either simply cast the array from one type to the other without
--   copying the array, or it may take a full copy of the array.
--   
--   Note that because the array is possibly not copied, any subsequent
--   modifications made to the mutable version of the array may be shared
--   with the immutable version. It is only safe to use, therefore, if the
--   immutable array is never referenced again in this thread, and there is
--   no possibility that it can be also referenced in another thread. If
--   you use an unsafeThawwriteunsafeFreeze sequence in a
--   multi-threaded setting, then you must ensure that this sequence is
--   atomic with respect to other threads, or a garbage collector crash may
--   result (because the write may be writing to a frozen array).
--   
--   The non-copying implementation is supported between certain pairs of
--   array types only; one constraint is that the array types must have
--   identical representations. In GHC, The following pairs of array types
--   have a non-copying O(1) implementation of unsafeThaw. Because
--   the optimised versions are enabled by specialisations, you will need
--   to compile with optimisation (-O) to get them.
--   
--   
--   
- UArray -> IOUArray
--   
- UArray -> STUArray
--   
- Array -> IOArray
--   
- Array -> STArray
--   
unsafeThaw :: (Ix i, IArray a e, MArray b e m) => a i e -> m (b i e)
unsafeThawSTUArray :: UArray i e -> ST s (STUArray s i e)
unsafeThawIOArray :: Array ix e -> IO (IOArray ix e)
thawIOArray :: Array ix e -> IO (IOArray ix e)
freezeIOArray :: IOArray ix e -> IO (Array ix e)
unsafeFreezeIOArray :: IOArray ix e -> IO (Array ix e)

-- | Casts an STUArray with one element type into one with a
--   different element type. All the elements of the resulting array are
--   undefined (unless you know what you're doing...).
castSTUArray :: STUArray s ix a -> ST s (STUArray s ix b)
instance GHC.Classes.Eq (Data.Array.Base.STUArray s i e)
instance (GHC.Internal.Ix.Ix ix, GHC.Classes.Eq e, Data.Array.Base.IArray Data.Array.Base.UArray e) => GHC.Classes.Eq (Data.Array.Base.UArray ix e)
instance Data.Array.Base.IArray GHC.Internal.Arr.Array e
instance Data.Array.Base.IArray Data.Array.Base.UArray GHC.Types.Bool
instance Data.Array.Base.IArray Data.Array.Base.UArray GHC.Types.Char
instance Data.Array.Base.IArray Data.Array.Base.UArray GHC.Types.Double
instance Data.Array.Base.IArray Data.Array.Base.UArray GHC.Types.Float
instance Data.Array.Base.IArray Data.Array.Base.UArray (GHC.Internal.Ptr.FunPtr a)
instance Data.Array.Base.IArray Data.Array.Base.UArray GHC.Types.Int
instance Data.Array.Base.IArray Data.Array.Base.UArray GHC.Internal.Int.Int16
instance Data.Array.Base.IArray Data.Array.Base.UArray GHC.Internal.Int.Int32
instance Data.Array.Base.IArray Data.Array.Base.UArray GHC.Internal.Int.Int64
instance Data.Array.Base.IArray Data.Array.Base.UArray GHC.Internal.Int.Int8
instance Data.Array.Base.IArray Data.Array.Base.UArray (GHC.Internal.Ptr.Ptr a)
instance Data.Array.Base.IArray Data.Array.Base.UArray (GHC.Internal.Stable.StablePtr a)
instance Data.Array.Base.IArray Data.Array.Base.UArray GHC.Types.Word
instance Data.Array.Base.IArray Data.Array.Base.UArray GHC.Internal.Word.Word16
instance Data.Array.Base.IArray Data.Array.Base.UArray GHC.Internal.Word.Word32
instance Data.Array.Base.IArray Data.Array.Base.UArray GHC.Internal.Word.Word64
instance Data.Array.Base.IArray Data.Array.Base.UArray GHC.Internal.Word.Word8
instance Data.Array.Base.MArray GHC.Internal.IOArray.IOArray e GHC.Types.IO
instance Data.Array.Base.MArray (GHC.Internal.Arr.STArray s) e (GHC.Internal.Control.Monad.ST.Lazy.Imp.ST s)
instance Data.Array.Base.MArray (GHC.Internal.Arr.STArray s) e (GHC.Internal.ST.ST s)
instance Data.Array.Base.MArray (Data.Array.Base.STUArray s) GHC.Types.Bool (GHC.Internal.ST.ST s)
instance Data.Array.Base.MArray (Data.Array.Base.STUArray s) GHC.Types.Char (GHC.Internal.ST.ST s)
instance Data.Array.Base.MArray (Data.Array.Base.STUArray s) GHC.Types.Double (GHC.Internal.ST.ST s)
instance Data.Array.Base.MArray (Data.Array.Base.STUArray s) GHC.Types.Float (GHC.Internal.ST.ST s)
instance Data.Array.Base.MArray (Data.Array.Base.STUArray s) (GHC.Internal.Ptr.FunPtr a) (GHC.Internal.ST.ST s)
instance Data.Array.Base.MArray (Data.Array.Base.STUArray s) GHC.Internal.Int.Int16 (GHC.Internal.ST.ST s)
instance Data.Array.Base.MArray (Data.Array.Base.STUArray s) GHC.Internal.Int.Int32 (GHC.Internal.ST.ST s)
instance Data.Array.Base.MArray (Data.Array.Base.STUArray s) GHC.Internal.Int.Int64 (GHC.Internal.ST.ST s)
instance Data.Array.Base.MArray (Data.Array.Base.STUArray s) GHC.Internal.Int.Int8 (GHC.Internal.ST.ST s)
instance Data.Array.Base.MArray (Data.Array.Base.STUArray s) GHC.Types.Int (GHC.Internal.ST.ST s)
instance Data.Array.Base.MArray (Data.Array.Base.STUArray s) (GHC.Internal.Ptr.Ptr a) (GHC.Internal.ST.ST s)
instance Data.Array.Base.MArray (Data.Array.Base.STUArray s) (GHC.Internal.Stable.StablePtr a) (GHC.Internal.ST.ST s)
instance Data.Array.Base.MArray (Data.Array.Base.STUArray s) GHC.Internal.Word.Word16 (GHC.Internal.ST.ST s)
instance Data.Array.Base.MArray (Data.Array.Base.STUArray s) GHC.Internal.Word.Word32 (GHC.Internal.ST.ST s)
instance Data.Array.Base.MArray (Data.Array.Base.STUArray s) GHC.Internal.Word.Word64 (GHC.Internal.ST.ST s)
instance Data.Array.Base.MArray (Data.Array.Base.STUArray s) GHC.Internal.Word.Word8 (GHC.Internal.ST.ST s)
instance Data.Array.Base.MArray (Data.Array.Base.STUArray s) GHC.Types.Word (GHC.Internal.ST.ST s)
instance (GHC.Internal.Ix.Ix ix, GHC.Classes.Ord e, Data.Array.Base.IArray Data.Array.Base.UArray e) => GHC.Classes.Ord (Data.Array.Base.UArray ix e)
instance (GHC.Internal.Ix.Ix ix, GHC.Internal.Read.Read ix, GHC.Internal.Read.Read e, Data.Array.Base.IArray Data.Array.Base.UArray e) => GHC.Internal.Read.Read (Data.Array.Base.UArray ix e)
instance (GHC.Internal.Ix.Ix ix, GHC.Internal.Show.Show ix, GHC.Internal.Show.Show e, Data.Array.Base.IArray Data.Array.Base.UArray e) => GHC.Internal.Show.Show (Data.Array.Base.UArray ix e)

-- | Immutable arrays, with an overloaded interface. For array types which
--   can be used with this interface, see the Array type exported by
--   this module and the Data.Array.Unboxed module. Other packages,
--   such as diffarray, also provide arrays using this interface.
module Data.Array.IArray

-- | Class of immutable array types.
--   
--   An array type has the form (a i e) where a is the
--   array type constructor (kind * -> * -> *), i
--   is the index type (a member of the class Ix), and e is
--   the element type. The IArray class is parameterised over both
--   a and e, so that instances specialised to certain
--   element types can be defined.
class IArray (a :: Type -> Type -> Type) e
data Array i e

-- | Constructs an immutable array from a pair of bounds and a list of
--   initial associations.
--   
--   The bounds are specified as a pair of the lowest and highest bounds in
--   the array respectively. For example, a one-origin vector of length 10
--   has bounds (1,10), and a one-origin 10 by 10 matrix has bounds
--   ((1,1),(10,10)).
--   
--   An association is a pair of the form (i,x), which defines the
--   value of the array at index i to be x. The array is
--   undefined if any index in the list is out of bounds. If any two
--   associations in the list have the same index, the value at that index
--   is implementation-dependent. (In GHC, the last value specified for
--   that index is used. Other implementations will also do this for
--   unboxed arrays, but Haskell 98 requires that for Array the
--   value at such indices is bottom.)
--   
--   Because the indices must be checked for these errors, array is
--   strict in the bounds argument and in the indices of the association
--   list. Whether array is strict or non-strict in the elements
--   depends on the array type: Array is a non-strict array type,
--   but all of the UArray arrays are strict. Thus in a non-strict
--   array, recurrences such as the following are possible:
--   
--   
--   a = array (1,100) ((1,1) : [(i, i * a!(i-1)) | i \<- [2..100]])
--   
--   
--   Not every index within the bounds of the array need appear in the
--   association list, but the values associated with indices that do not
--   appear will be undefined.
--   
--   If, in any dimension, the lower bound is greater than the upper bound,
--   then the array is legal, but empty. Indexing an empty array always
--   gives an array-bounds error, but bounds still yields the bounds
--   with which the array was constructed.
array :: (IArray a e, Ix i) => (i, i) -> [(i, e)] -> a i e

-- | Constructs an immutable array from a list of initial elements. The
--   list gives the elements of the array in ascending order beginning with
--   the lowest index.
listArray :: (IArray a e, Ix i) => (i, i) -> [e] -> a i e

-- | Constructs an immutable array from a list of associations. Unlike
--   array, the same index is allowed to occur multiple times in the
--   list of associations; an accumulating function is used to
--   combine the values of elements with the same index.
--   
--   For example, given a list of values of some index type, hist produces
--   a histogram of the number of occurrences of each index within a
--   specified range:
--   
--   
--   hist :: (Ix a, Num b) => (a,a) -> [a] -> Array a b
--   hist bnds is = accumArray (+) 0 bnds [(i, 1) | i\<-is, inRange bnds i]
--   
accumArray :: (IArray a e, Ix i) => (e -> e' -> e) -> e -> (i, i) -> [(i, e')] -> a i e

-- | Constructs an immutable array using a generator function.
genArray :: (IArray a e, Ix i) => (i, i) -> (i -> e) -> a i e

-- | Returns the element of an immutable array at the specified index, or
--   throws an exception if the index is out of bounds.
(!) :: (IArray a e, Ix i) => a i e -> i -> e

-- | Returns Just the element of an immutable array at the specified
--   index, or Nothing if the index is out of bounds.
(!?) :: (IArray a e, Ix i) => a i e -> i -> Maybe e

-- | Extracts the bounds of an immutable array
bounds :: (IArray a e, Ix i) => a i e -> (i, i)

-- | Returns a list of all the valid indices in an array.
indices :: (IArray a e, Ix i) => a i e -> [i]

-- | Returns a list of all the elements of an array, in the same order as
--   their indices.
elems :: (IArray a e, Ix i) => a i e -> [e]

-- | Returns the contents of an array as a list of associations.
assocs :: (IArray a e, Ix i) => a i e -> [(i, e)]

-- | Lazy right-associative fold.
foldrArray :: (IArray a e, Ix i) => (e -> b -> b) -> b -> a i e -> b

-- | Strict accumulating left-associative fold.
foldlArray' :: (IArray a e, Ix i) => (b -> e -> b) -> b -> a i e -> b

-- | Lazy left-associative fold.
foldlArray :: (IArray a e, Ix i) => (b -> e -> b) -> b -> a i e -> b

-- | Strict accumulating right-associative fold.
foldrArray' :: (IArray a e, Ix i) => (e -> b -> b) -> b -> a i e -> b

-- | Map elements to applicative actions, sequence them left-to-right, and
--   discard the results.
traverseArray_ :: (IArray a e, Ix i, Applicative f) => (e -> f b) -> a i e -> f ()

-- | forArray_ is traverseArray_ with its arguments
--   flipped.
forArray_ :: (IArray a e, Ix i, Applicative f) => a i e -> (e -> f b) -> f ()

-- | Strict accumulating left-associative monadic fold.
foldlArrayM' :: (IArray a e, Ix i, Monad m) => (b -> e -> m b) -> b -> a i e -> m b

-- | Strict accumulating right-associative monadic fold.
foldrArrayM' :: (IArray a e, Ix i, Monad m) => (e -> b -> m b) -> b -> a i e -> m b

-- | Takes an array and a list of pairs and returns an array identical to
--   the left argument except that it has been updated by the associations
--   in the right argument. For example, if m is a 1-origin, n by n matrix,
--   then m//[((i,i), 0) | i <- [1..n]] is the same matrix,
--   except with the diagonal zeroed.
--   
--   As with the array function, if any two associations in the list
--   have the same index, the value at that index is
--   implementation-dependent. (In GHC, the last value specified for that
--   index is used. Other implementations will also do this for unboxed
--   arrays, but Haskell 98 requires that for Array the value at
--   such indices is bottom.)
--   
--   For most array types, this operation is O(n) where n is
--   the size of the array. However, the diffarray package provides an
--   array type for which this operation has complexity linear in the
--   number of updates.
(//) :: (IArray a e, Ix i) => a i e -> [(i, e)] -> a i e

-- | accum f takes an array and an association list and
--   accumulates pairs from the list into the array with the accumulating
--   function f. Thus accumArray can be defined using
--   accum:
--   
--   
--   accumArray f z b = accum f (array b [(i, z) | i \<- range b])
--   
accum :: (IArray a e, Ix i) => (e -> e' -> e) -> a i e -> [(i, e')] -> a i e

-- | Returns a new array derived from the original array by applying a
--   function to each of the elements.
amap :: (IArray a e', IArray a e, Ix i) => (e' -> e) -> a i e' -> a i e

-- | Returns a new array derived from the original array by applying a
--   function to each of the indices.
ixmap :: (IArray a e, Ix i, Ix j) => (i, i) -> (i -> j) -> a j e -> a i e

-- | Mutable boxed and unboxed arrays in the IO monad.
--   
--   
WARNING
--   
--   This module is considered internal.
--   
--   The Package Versioning Policy does not apply.
--   
--   The contents of this module may change in any way whatsoever
--   and without any warning between minor versions of this package.
--   
--   Authors importing this module are expected to track development
--   closely.
module Data.Array.IO.Internals
newtype IOArray i e
IOArray :: STArray RealWorld i e -> IOArray i e

-- | Mutable, unboxed, strict arrays in the IO monad. The type
--   arguments are as follows:
--   
--   
--   
- i: the index type of the array (should be an instance of
--   Ix)
--   
- e: the element type of the array. Only certain element
--   types are supported: see Data.Array.MArray for a list of
--   instances.
--   
newtype IOUArray i e
IOUArray :: STUArray RealWorld i e -> IOUArray i e

-- | Casts an IOUArray with one element type into one with a
--   different element type. All the elements of the resulting array are
--   undefined (unless you know what you're doing...).
castIOUArray :: IOUArray ix a -> IO (IOUArray ix b)
unsafeThawIOUArray :: UArray ix e -> IO (IOUArray ix e)
unsafeFreezeIOUArray :: IOUArray ix e -> IO (UArray ix e)
instance GHC.Classes.Eq (Data.Array.IO.Internals.IOUArray i e)
instance Data.Array.Base.MArray Data.Array.IO.Internals.IOUArray GHC.Types.Bool GHC.Types.IO
instance Data.Array.Base.MArray Data.Array.IO.Internals.IOUArray GHC.Types.Char GHC.Types.IO
instance Data.Array.Base.MArray Data.Array.IO.Internals.IOUArray GHC.Types.Double GHC.Types.IO
instance Data.Array.Base.MArray Data.Array.IO.Internals.IOUArray GHC.Types.Float GHC.Types.IO
instance Data.Array.Base.MArray Data.Array.IO.Internals.IOUArray (GHC.Internal.Ptr.FunPtr a) GHC.Types.IO
instance Data.Array.Base.MArray Data.Array.IO.Internals.IOUArray GHC.Internal.Int.Int16 GHC.Types.IO
instance Data.Array.Base.MArray Data.Array.IO.Internals.IOUArray GHC.Internal.Int.Int32 GHC.Types.IO
instance Data.Array.Base.MArray Data.Array.IO.Internals.IOUArray GHC.Internal.Int.Int64 GHC.Types.IO
instance Data.Array.Base.MArray Data.Array.IO.Internals.IOUArray GHC.Internal.Int.Int8 GHC.Types.IO
instance Data.Array.Base.MArray Data.Array.IO.Internals.IOUArray GHC.Types.Int GHC.Types.IO
instance Data.Array.Base.MArray Data.Array.IO.Internals.IOUArray (GHC.Internal.Ptr.Ptr a) GHC.Types.IO
instance Data.Array.Base.MArray Data.Array.IO.Internals.IOUArray (GHC.Internal.Stable.StablePtr a) GHC.Types.IO
instance Data.Array.Base.MArray Data.Array.IO.Internals.IOUArray GHC.Internal.Word.Word16 GHC.Types.IO
instance Data.Array.Base.MArray Data.Array.IO.Internals.IOUArray GHC.Internal.Word.Word32 GHC.Types.IO
instance Data.Array.Base.MArray Data.Array.IO.Internals.IOUArray GHC.Internal.Word.Word64 GHC.Types.IO
instance Data.Array.Base.MArray Data.Array.IO.Internals.IOUArray GHC.Internal.Word.Word8 GHC.Types.IO
instance Data.Array.Base.MArray Data.Array.IO.Internals.IOUArray GHC.Types.Word GHC.Types.IO

-- | An overloaded interface to mutable arrays. For array types which can
--   be used with this interface, see Data.Array.IO,
--   Data.Array.ST, and Data.Array.Storable.
module Data.Array.MArray

-- | Class of mutable array types.
--   
--   An array type has the form (a i e) where a is the
--   array type constructor (kind * -> * -> *), i
--   is the index type (a member of the class Ix), and e is
--   the element type.
--   
--   The MArray class is parameterised over both a and
--   e (so that instances specialised to certain element types can
--   be defined, in the same way as for IArray), and also over the
--   type of the monad, m, in which the mutable array will be
--   manipulated.
class Monad m => MArray (a :: Type -> Type -> Type) e (m :: Type -> Type)

-- | Builds a new array, with every element initialised to the supplied
--   value. The first and second element of the tuple specifies the lowest
--   and highest index, respectively.
newArray :: (MArray a e m, Ix i) => (i, i) -> e -> m (a i e)

-- | Builds a new array, with every element initialised to an undefined
--   value. In a monadic context in which operations must be deterministic
--   (e.g. the ST monad), the array elements are initialised to a fixed but
--   undefined value, such as zero. The first and second element of the
--   tuple specifies the lowest and highest index, respectively.
newArray_ :: (MArray a e m, Ix i) => (i, i) -> m (a i e)

-- | Constructs a mutable array from a list of initial elements. The list
--   gives the elements of the array in ascending order beginning with the
--   lowest index. The first and second element of the tuple specifies the
--   lowest and highest index, respectively.
newListArray :: (MArray a e m, Ix i) => (i, i) -> [e] -> m (a i e)

-- | Constructs a mutable array using a generator function. It invokes the
--   generator function in ascending order of the indices.
newGenArray :: (MArray a e m, Ix i) => (i, i) -> (i -> m e) -> m (a i e)

-- | Read an element from a mutable array
readArray :: (MArray a e m, Ix i) => a i e -> i -> m e

-- | Write an element in a mutable array
writeArray :: (MArray a e m, Ix i) => a i e -> i -> e -> m ()

-- | Modify an element in a mutable array
modifyArray :: (MArray a e m, Ix i) => a i e -> i -> (e -> e) -> m ()

-- | Modify an element in a mutable array. Strict in the written element.
modifyArray' :: (MArray a e m, Ix i) => a i e -> i -> (e -> e) -> m ()

-- | Strict accumulating left-associative fold.
foldlMArray' :: (MArray a e m, Ix i) => (b -> e -> b) -> b -> a i e -> m b

-- | Strict accumulating right-associative fold.
foldrMArray' :: (MArray a e m, Ix i) => (e -> b -> b) -> b -> a i e -> m b

-- | Map elements to monadic actions, sequence them left-to-right, and
--   discard the results.
mapMArrayM_ :: (MArray a e m, Ix i) => (e -> m b) -> a i e -> m ()

-- | forMArrayM_ is mapMArrayM_ with its arguments flipped.
forMArrayM_ :: (MArray a e m, Ix i) => a i e -> (e -> m b) -> m ()

-- | Strict accumulating left-associative monadic fold.
foldlMArrayM' :: (MArray a e m, Ix i) => (b -> e -> m b) -> b -> a i e -> m b

-- | Strict accumulating right-associative monadic fold.
foldrMArrayM' :: (MArray a e m, Ix i) => (e -> b -> m b) -> b -> a i e -> m b

-- | Constructs a new array derived from the original array by applying a
--   function to each of the elements.
mapArray :: (MArray a e' m, MArray a e m, Ix i) => (e' -> e) -> a i e' -> m (a i e)

-- | Constructs a new array derived from the original array by applying a
--   function to each of the indices.
mapIndices :: (MArray a e m, Ix i, Ix j) => (i, i) -> (i -> j) -> a j e -> m (a i e)

-- | Returns the bounds of the array (lowest,highest).
getBounds :: (MArray a e m, Ix i) => a i e -> m (i, i)

-- | Return a list of all the elements of a mutable array
getElems :: (MArray a e m, Ix i) => a i e -> m [e]

-- | Return a list of all the associations of a mutable array, in index
--   order.
getAssocs :: (MArray a e m, Ix i) => a i e -> m [(i, e)]

-- | Converts a mutable array (any instance of MArray) to an
--   immutable array (any instance of IArray) by taking a complete
--   copy of it.
freeze :: (Ix i, MArray a e m, IArray b e) => a i e -> m (b i e)

-- | Converts an immutable array (any instance of IArray) into a
--   mutable array (any instance of MArray) by taking a complete
--   copy of it.
thaw :: (Ix i, IArray a e, MArray b e m) => a i e -> m (b i e)

-- | Mutable boxed and unboxed arrays in the IO monad.
module Data.Array.IO
data IOArray i e

-- | Mutable, unboxed, strict arrays in the IO monad. The type
--   arguments are as follows:
--   
--   
--   
- i: the index type of the array (should be an instance of
--   Ix)
--   
- e: the element type of the array. Only certain element
--   types are supported: see Data.Array.MArray for a list of
--   instances.
--   
data IOUArray i e

-- | Reads a number of Word8s from the specified Handle
--   directly into an array.
hGetArray :: Handle -> IOUArray Int Word8 -> Int -> IO Int

-- | Writes an array of Word8 to the specified Handle.
hPutArray :: Handle -> IOUArray Int Word8 -> Int -> IO ()

-- | An overloaded interface to mutable arrays. For array types which can
--   be used with this interface, see Data.Array.IO,
--   Data.Array.ST, and Data.Array.Storable. . Safe API only
--   of Data.Array.MArray.
module Data.Array.MArray.Safe

-- | Class of mutable array types.
--   
--   An array type has the form (a i e) where a is the
--   array type constructor (kind * -> * -> *), i
--   is the index type (a member of the class Ix), and e is
--   the element type.
--   
--   The MArray class is parameterised over both a and
--   e (so that instances specialised to certain element types can
--   be defined, in the same way as for IArray), and also over the
--   type of the monad, m, in which the mutable array will be
--   manipulated.
class Monad m => MArray (a :: Type -> Type -> Type) e (m :: Type -> Type)

-- | Builds a new array, with every element initialised to the supplied
--   value. The first and second element of the tuple specifies the lowest
--   and highest index, respectively.
newArray :: (MArray a e m, Ix i) => (i, i) -> e -> m (a i e)

-- | Builds a new array, with every element initialised to an undefined
--   value. In a monadic context in which operations must be deterministic
--   (e.g. the ST monad), the array elements are initialised to a fixed but
--   undefined value, such as zero. The first and second element of the
--   tuple specifies the lowest and highest index, respectively.
newArray_ :: (MArray a e m, Ix i) => (i, i) -> m (a i e)

-- | Constructs a mutable array from a list of initial elements. The list
--   gives the elements of the array in ascending order beginning with the
--   lowest index. The first and second element of the tuple specifies the
--   lowest and highest index, respectively.
newListArray :: (MArray a e m, Ix i) => (i, i) -> [e] -> m (a i e)

-- | Constructs a mutable array using a generator function. It invokes the
--   generator function in ascending order of the indices.
newGenArray :: (MArray a e m, Ix i) => (i, i) -> (i -> m e) -> m (a i e)

-- | Read an element from a mutable array
readArray :: (MArray a e m, Ix i) => a i e -> i -> m e

-- | Write an element in a mutable array
writeArray :: (MArray a e m, Ix i) => a i e -> i -> e -> m ()

-- | Strict accumulating left-associative fold.
foldlMArray' :: (MArray a e m, Ix i) => (b -> e -> b) -> b -> a i e -> m b

-- | Strict accumulating right-associative fold.
foldrMArray' :: (MArray a e m, Ix i) => (e -> b -> b) -> b -> a i e -> m b

-- | Map elements to monadic actions, sequence them left-to-right, and
--   discard the results.
mapMArrayM_ :: (MArray a e m, Ix i) => (e -> m b) -> a i e -> m ()

-- | forMArrayM_ is mapMArrayM_ with its arguments flipped.
forMArrayM_ :: (MArray a e m, Ix i) => a i e -> (e -> m b) -> m ()

-- | Strict accumulating left-associative monadic fold.
foldlMArrayM' :: (MArray a e m, Ix i) => (b -> e -> m b) -> b -> a i e -> m b

-- | Strict accumulating right-associative monadic fold.
foldrMArrayM' :: (MArray a e m, Ix i) => (e -> b -> m b) -> b -> a i e -> m b

-- | Constructs a new array derived from the original array by applying a
--   function to each of the elements.
mapArray :: (MArray a e' m, MArray a e m, Ix i) => (e' -> e) -> a i e' -> m (a i e)

-- | Constructs a new array derived from the original array by applying a
--   function to each of the indices.
mapIndices :: (MArray a e m, Ix i, Ix j) => (i, i) -> (i -> j) -> a j e -> m (a i e)

-- | Returns the bounds of the array (lowest,highest).
getBounds :: (MArray a e m, Ix i) => a i e -> m (i, i)

-- | Return a list of all the elements of a mutable array
getElems :: (MArray a e m, Ix i) => a i e -> m [e]

-- | Return a list of all the associations of a mutable array, in index
--   order.
getAssocs :: (MArray a e m, Ix i) => a i e -> m [(i, e)]

-- | Converts a mutable array (any instance of MArray) to an
--   immutable array (any instance of IArray) by taking a complete
--   copy of it.
freeze :: (Ix i, MArray a e m, IArray b e) => a i e -> m (b i e)

-- | Converts an immutable array (any instance of IArray) into a
--   mutable array (any instance of MArray) by taking a complete
--   copy of it.
thaw :: (Ix i, IArray a e, MArray b e m) => a i e -> m (b i e)

-- | Mutable boxed and unboxed arrays in the IO monad. . Safe API only of
--   Data.Array.IO.
module Data.Array.IO.Safe
data IOArray i e

-- | Mutable, unboxed, strict arrays in the IO monad. The type
--   arguments are as follows:
--   
--   
--   
- i: the index type of the array (should be an instance of
--   Ix)
--   
- e: the element type of the array. Only certain element
--   types are supported: see Data.Array.MArray for a list of
--   instances.
--   
data IOUArray i e

-- | Reads a number of Word8s from the specified Handle
--   directly into an array.
hGetArray :: Handle -> IOUArray Int Word8 -> Int -> IO Int

-- | Writes an array of Word8 to the specified Handle.
hPutArray :: Handle -> IOUArray Int Word8 -> Int -> IO ()

-- | Mutable boxed and unboxed arrays in the ST monad.
module Data.Array.ST
data STArray s i e

-- | A safe way to create and work with a mutable array before returning an
--   immutable array for later perusal. This function avoids copying the
--   array before returning it - it uses unsafeFreeze internally,
--   but this wrapper is a safe interface to that function.
runSTArray :: (forall s. () => ST s (STArray s i e)) -> Array i e

-- | A mutable array with unboxed elements, that can be manipulated in the
--   ST monad. The type arguments are as follows:
--   
--   
--   
- s: the state variable argument for the ST
--   type
--   
- i: the index type of the array (should be an instance of
--   Ix)
--   
- e: the element type of the array. Only certain element
--   types are supported.
--   
--   
--   An STUArray will generally be more efficient (in terms of both
--   time and space) than the equivalent boxed version (STArray)
--   with the same element type. However, STUArray is strict in its
--   elements - so don't use STUArray if you require the
--   non-strictness that STArray provides.
data STUArray s i e

-- | A safe way to create and work with an unboxed mutable array before
--   returning an immutable array for later perusal. This function avoids
--   copying the array before returning it - it uses unsafeFreeze
--   internally, but this wrapper is a safe interface to that function.
runSTUArray :: (forall s. () => ST s (STUArray s i e)) -> UArray i e

-- | Mutable boxed and unboxed arrays in the ST monad.
--   
--   Safe API only of Data.Array.ST.
module Data.Array.ST.Safe
data STArray s i e

-- | A safe way to create and work with a mutable array before returning an
--   immutable array for later perusal. This function avoids copying the
--   array before returning it - it uses unsafeFreeze internally,
--   but this wrapper is a safe interface to that function.
runSTArray :: (forall s. () => ST s (STArray s i e)) -> Array i e

-- | A mutable array with unboxed elements, that can be manipulated in the
--   ST monad. The type arguments are as follows:
--   
--   
--   
- s: the state variable argument for the ST
--   type
--   
- i: the index type of the array (should be an instance of
--   Ix)
--   
- e: the element type of the array. Only certain element
--   types are supported.
--   
--   
--   An STUArray will generally be more efficient (in terms of both
--   time and space) than the equivalent boxed version (STArray)
--   with the same element type. However, STUArray is strict in its
--   elements - so don't use STUArray if you require the
--   non-strictness that STArray provides.
data STUArray s i e

-- | A safe way to create and work with an unboxed mutable array before
--   returning an immutable array for later perusal. This function avoids
--   copying the array before returning it - it uses unsafeFreeze
--   internally, but this wrapper is a safe interface to that function.
runSTUArray :: (forall s. () => ST s (STUArray s i e)) -> UArray i e

-- | Actual implementation of Data.Array.Storable.
--   
--   
WARNING
--   
--   This module is considered internal.
--   
--   The Package Versioning Policy does not apply.
--   
--   The contents of this module may change in any way whatsoever
--   and without any warning between minor versions of this package.
--   
--   Authors importing this module are expected to track development
--   closely.
module Data.Array.Storable.Internals

-- | The array type
data StorableArray i e
StorableArray :: !i -> !i -> Int -> !ForeignPtr e -> StorableArray i e

-- | The pointer to the array contents is obtained by
--   withStorableArray. The idea is similar to ForeignPtr
--   (used internally here). The pointer should be used only during
--   execution of the IO action retured by the function passed as
--   argument to withStorableArray.
withStorableArray :: StorableArray i e -> (Ptr e -> IO a) -> IO a

-- | If you want to use it afterwards, ensure that you
--   touchStorableArray after the last use of the pointer, so the
--   array is not freed too early.
touchStorableArray :: StorableArray i e -> IO ()

-- | Construct a StorableArray from an arbitrary ForeignPtr.
--   It is the caller's responsibility to ensure that the ForeignPtr
--   points to an area of memory sufficient for the specified bounds.
unsafeForeignPtrToStorableArray :: Ix i => ForeignPtr e -> (i, i) -> IO (StorableArray i e)
instance GHC.Internal.Foreign.Storable.Storable e => Data.Array.Base.MArray Data.Array.Storable.Internals.StorableArray e GHC.Types.IO

-- | A storable array is an IO-mutable array which stores its contents in a
--   contiguous memory block living in the C heap. Elements are stored
--   according to the class Storable. You can obtain the pointer
--   to the array contents to manipulate elements from languages like C.
--   
--   It is similar to IOUArray but slower. Its advantage is that
--   it's compatible with C.
module Data.Array.Storable

-- | The array type
data StorableArray i e

-- | The pointer to the array contents is obtained by
--   withStorableArray. The idea is similar to ForeignPtr
--   (used internally here). The pointer should be used only during
--   execution of the IO action retured by the function passed as
--   argument to withStorableArray.
withStorableArray :: StorableArray i e -> (Ptr e -> IO a) -> IO a

-- | If you want to use it afterwards, ensure that you
--   touchStorableArray after the last use of the pointer, so the
--   array is not freed too early.
touchStorableArray :: StorableArray i e -> IO ()

-- | A storable array is an IO-mutable array which stores its contents in a
--   contiguous memory block living in the C heap. Elements are stored
--   according to the class Storable. You can obtain the pointer
--   to the array contents to manipulate elements from languages like C.
--   
--   It is similar to IOUArray but slower. Its advantage is that
--   it's compatible with C.
--   
--   Safe API only of Data.Array.Storable.
module Data.Array.Storable.Safe

-- | The array type
data StorableArray i e

-- | The pointer to the array contents is obtained by
--   withStorableArray. The idea is similar to ForeignPtr
--   (used internally here). The pointer should be used only during
--   execution of the IO action retured by the function passed as
--   argument to withStorableArray.
withStorableArray :: StorableArray i e -> (Ptr e -> IO a) -> IO a

-- | If you want to use it afterwards, ensure that you
--   touchStorableArray after the last use of the pointer, so the
--   array is not freed too early.
touchStorableArray :: StorableArray i e -> IO ()

-- | Unboxed immutable arrays.
module Data.Array.Unboxed

-- | Arrays with unboxed elements. Instances of IArray are provided
--   for UArray with certain element types (Int,
--   Float, Char, etc.; see the UArray class for a
--   full list).
--   
--   A UArray will generally be more efficient (in terms of both
--   time and space) than the equivalent Array with the same element
--   type. However, UArray is strict in its elements - so don't use
--   UArray if you require the non-strictness that Array
--   provides.
--   
--   Because the IArray interface provides operations overloaded
--   on the type of the array, it should be possible to just change the
--   array type being used by a program from say Array to
--   UArray to get the benefits of unboxed arrays (don't forget to
--   import Data.Array.Unboxed instead of Data.Array).
data UArray i e

-- | Contains the various unsafe operations that can be performed on
--   arrays.
module Data.Array.Unsafe

-- | Casts an STUArray with one element type into one with a
--   different element type. All the elements of the resulting array are
--   undefined (unless you know what you're doing...).
castSTUArray :: STUArray s ix a -> ST s (STUArray s ix b)

-- | Casts an IOUArray with one element type into one with a
--   different element type. All the elements of the resulting array are
--   undefined (unless you know what you're doing...).
castIOUArray :: IOUArray ix a -> IO (IOUArray ix b)

-- | Converts an mutable array into an immutable array. The implementation
--   may either simply cast the array from one type to the other without
--   copying the array, or it may take a full copy of the array.
--   
--   Note that because the array is possibly not copied, any subsequent
--   modifications made to the mutable version of the array may be shared
--   with the immutable version. It is safe to use, therefore, if the
--   mutable version is never modified after the freeze operation.
--   
--   The non-copying implementation is supported between certain pairs of
--   array types only; one constraint is that the array types must have
--   identical representations. In GHC, The following pairs of array types
--   have a non-copying O(1) implementation of unsafeFreeze. Because
--   the optimised versions are enabled by specialisations, you will need
--   to compile with optimisation (-O) to get them.
--   
--   
--   
- IOUArray -> UArray
--   
- STUArray -> UArray
--   
- IOArray -> Array
--   
- STArray -> Array
--   
unsafeFreeze :: (Ix i, MArray a e m, IArray b e) => a i e -> m (b i e)

-- | Converts an immutable array into a mutable array. The implementation
--   may either simply cast the array from one type to the other without
--   copying the array, or it may take a full copy of the array.
--   
--   Note that because the array is possibly not copied, any subsequent
--   modifications made to the mutable version of the array may be shared
--   with the immutable version. It is only safe to use, therefore, if the
--   immutable array is never referenced again in this thread, and there is
--   no possibility that it can be also referenced in another thread. If
--   you use an unsafeThawwriteunsafeFreeze sequence in a
--   multi-threaded setting, then you must ensure that this sequence is
--   atomic with respect to other threads, or a garbage collector crash may
--   result (because the write may be writing to a frozen array).
--   
--   The non-copying implementation is supported between certain pairs of
--   array types only; one constraint is that the array types must have
--   identical representations. In GHC, The following pairs of array types
--   have a non-copying O(1) implementation of unsafeThaw. Because
--   the optimised versions are enabled by specialisations, you will need
--   to compile with optimisation (-O) to get them.
--   
--   
--   
- UArray -> IOUArray
--   
- UArray -> STUArray
--   
- Array -> IOArray
--   
- Array -> STArray
--   
unsafeThaw :: (Ix i, IArray a e, MArray b e m) => a i e -> m (b i e)

-- | Construct a StorableArray from an arbitrary ForeignPtr.
--   It is the caller's responsibility to ensure that the ForeignPtr
--   points to an area of memory sufficient for the specified bounds.
unsafeForeignPtrToStorableArray :: Ix i => ForeignPtr e -> (i, i) -> IO (StorableArray i e)
