Copyright	(c) Alexey Kuleshevich 2018-2022
License	BSD3
Maintainer	Alexey Kuleshevich <alexey@kuleshevi.ch>
Stability	experimental
Portability	non-portable
Safe Haskell	None
Language	Haskell2010

Data.Massiv.Core.Index

Contents

Size
Dimension
Stride
Border
Index functions
Iterators
Experimental
Extra iterator functions
Iterator implementations
Tuple based indices
Exceptions

Description

Synopsis

data Ix0 = Ix0
type Ix1 = Int
pattern Ix1 :: Int -> Ix1
data Ix2 where
- !Int :. !Int
- pattern Ix2 :: Int -> Int -> Ix2
data IxN (n :: Nat) where
- !Int :> !(Ix (n - 1))
- pattern Ix3 :: Int -> Int -> Int -> Ix3
- pattern Ix4 :: Int -> Int -> Int -> Int -> Ix4
- pattern Ix5 :: Int -> Int -> Int -> Int -> Int -> Ix5
type HighIxN n = (4 <= n, KnownNat n, KnownNat (n - 1), Index (IxN (n - 1)), IxN (n - 1) ~ Ix (n - 1))
type Ix3 = IxN 3
type Ix4 = IxN 4
type Ix5 = IxN 5
type family Ix (n :: Nat) = r | r -> n where ...
type Sz1 = Sz Ix1
type Sz2 = Sz Ix2
type Sz3 = Sz Ix3
type Sz4 = Sz Ix4
type Sz5 = Sz Ix5
data Sz ix where
- pattern Sz :: Index ix => ix -> Sz ix
- pattern Sz1 :: Ix1 -> Sz Ix1
- pattern Sz2 :: Int -> Int -> Sz Ix2
- pattern Sz3 :: Int -> Int -> Int -> Sz Ix3
- pattern Sz4 :: Int -> Int -> Int -> Int -> Sz Ix4
- pattern Sz5 :: Int -> Int -> Int -> Int -> Int -> Sz Ix5
unSz :: Sz ix -> ix
zeroSz :: Index ix => Sz ix
oneSz :: Index ix => Sz ix
liftSz :: Index ix => (Int -> Int) -> Sz ix -> Sz ix
liftSz2 :: Index ix => (Int -> Int -> Int) -> Sz ix -> Sz ix -> Sz ix
consSz :: Index ix => Sz Ix1 -> Sz (Lower ix) -> Sz ix
unconsSz :: Index ix => Sz ix -> (Sz Ix1, Sz (Lower ix))
snocSz :: Index ix => Sz (Lower ix) -> Sz Ix1 -> Sz ix
unsnocSz :: Index ix => Sz ix -> (Sz (Lower ix), Sz Ix1)
setSzM :: (MonadThrow m, Index ix) => Sz ix -> Dim -> Sz Int -> m (Sz ix)
insertSzM :: (MonadThrow m, Index ix) => Sz (Lower ix) -> Dim -> Sz Int -> m (Sz ix)
pullOutSzM :: (MonadThrow m, Index ix) => Sz ix -> Dim -> m (Sz Ix1, Sz (Lower ix))
toLinearSz :: Index ix => Sz ix -> Sz1
mkSzM :: (Index ix, MonadThrow m) => ix -> m (Sz ix)
newtype Dim = Dim {
- unDim :: Int
}
data Dimension (n :: Nat) where
- DimN :: (1 <= n, KnownNat n) => Dimension n
- pattern Dim1 :: Dimension 1
- pattern Dim2 :: Dimension 2
- pattern Dim3 :: Dimension 3
- pattern Dim4 :: Dimension 4
- pattern Dim5 :: Dimension 5
type IsIndexDimension ix n = (1 <= n, n <= Dimensions ix, Index ix, KnownNat n)
type family IsDimValid ix n :: Bool where ...
type family ReportInvalidDim (dims :: Nat) (n :: Nat) isNotZero isLess :: Bool where ...
data Stride ix where
- pattern Stride :: Index ix => ix -> Stride ix
unStride :: Stride ix -> ix
toLinearIndexStride :: Index ix => Stride ix -> Sz ix -> ix -> Int
strideStart :: Index ix => Stride ix -> ix -> ix
strideSize :: Index ix => Stride ix -> Sz ix -> Sz ix
oneStride :: Index ix => Stride ix
data Border e
- = Fill e
- | Wrap
- | Edge
- | Reflect
- | Continue
handleBorderIndex :: Index ix => Border e -> Sz ix -> (ix -> e) -> ix -> e
type family Lower ix :: Type
class (Eq ix, Ord ix, Show ix, NFData ix, Typeable ix, Eq (Lower ix), Ord (Lower ix), Show (Lower ix), NFData (Lower ix), KnownNat (Dimensions ix)) => Index ix where
- type Dimensions ix :: Nat
- dimensions :: proxy ix -> Dim
- totalElem :: Sz ix -> Int
- consDim :: Int -> Lower ix -> ix
- unconsDim :: ix -> (Int, Lower ix)
- snocDim :: Lower ix -> Int -> ix
- unsnocDim :: ix -> (Lower ix, Int)
- pullOutDimM :: MonadThrow m => ix -> Dim -> m (Int, Lower ix)
- insertDimM :: MonadThrow m => Lower ix -> Dim -> Int -> m ix
- getDimM :: MonadThrow m => ix -> Dim -> m Int
- setDimM :: MonadThrow m => ix -> Dim -> Int -> m ix
- modifyDimM :: MonadThrow m => ix -> Dim -> (Int -> Int) -> m (Int, ix)
- pureIndex :: Int -> ix
- liftIndex2 :: (Int -> Int -> Int) -> ix -> ix -> ix
- liftIndex :: (Int -> Int) -> ix -> ix
- foldlIndex :: (a -> Int -> a) -> a -> ix -> a
- isSafeIndex :: Sz ix -> ix -> Bool
- toLinearIndex :: Sz ix -> ix -> Ix1
- toLinearIndexAcc :: Ix1 -> ix -> ix -> Ix1
- fromLinearIndex :: Sz ix -> Ix1 -> ix
- fromLinearIndexAcc :: ix -> Ix1 -> (Int, ix)
- repairIndex :: Sz ix -> ix -> (Sz Int -> Int -> Int) -> (Sz Int -> Int -> Int) -> ix
- iterM :: Monad m => ix -> ix -> ix -> (Int -> Int -> Bool) -> a -> (ix -> a -> m a) -> m a
- iterRowMajorST :: Int -> Scheduler s a -> ix -> ix -> Sz ix -> a -> (a -> ST s (a, a)) -> (ix -> a -> ST s a) -> ST s a
- iterF :: ix -> ix -> ix -> (Int -> Int -> Bool) -> f a -> (ix -> f a -> f a) -> f a
- stepNextMF :: ix -> ix -> ix -> (Int -> Int -> Bool) -> (Maybe ix -> f a) -> f a
- iterTargetRowMajorA_ :: Applicative f => Int -> Int -> Sz ix -> ix -> ix -> (Ix1 -> ix -> f a) -> f ()
- iterTargetRowMajorAccM :: Monad m => Int -> Int -> Sz ix -> ix -> ix -> a -> (Ix1 -> ix -> a -> m a) -> m a
- iterTargetRowMajorAccST :: Int -> Int -> Scheduler s a -> Int -> Sz ix -> ix -> ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s a
- iterTargetRowMajorAccST_ :: Int -> Int -> Scheduler s () -> Int -> Sz ix -> ix -> ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s ()
zeroIndex :: Index ix => ix
oneIndex :: Index ix => ix
isZeroSz :: Index ix => Sz ix -> Bool
isNotZeroSz :: Index ix => Sz ix -> Bool
headDim :: Index ix => ix -> Int
tailDim :: Index ix => ix -> Lower ix
lastDim :: Index ix => ix -> Int
initDim :: Index ix => ix -> Lower ix
getDim' :: (HasCallStack, Index ix) => ix -> Dim -> Int
setDim' :: (HasCallStack, Index ix) => ix -> Dim -> Int -> ix
modifyDim' :: (HasCallStack, Index ix) => ix -> Dim -> (Int -> Int) -> (Int, ix)
dropDimM :: (MonadThrow m, Index ix) => ix -> Dim -> m (Lower ix)
dropDim' :: (HasCallStack, Index ix) => ix -> Dim -> Lower ix
pullOutDim' :: (HasCallStack, Index ix) => ix -> Dim -> (Int, Lower ix)
insertDim' :: (HasCallStack, Index ix) => Lower ix -> Dim -> Int -> ix
fromDimension :: KnownNat n => Dimension n -> Dim
getDimension :: IsIndexDimension ix n => ix -> Dimension n -> Int
setDimension :: IsIndexDimension ix n => ix -> Dimension n -> Int -> ix
modifyDimension :: IsIndexDimension ix n => ix -> Dimension n -> (Int -> Int) -> (Int, ix)
dropDimension :: IsIndexDimension ix n => ix -> Dimension n -> Lower ix
pullOutDimension :: IsIndexDimension ix n => ix -> Dimension n -> (Int, Lower ix)
insertDimension :: IsIndexDimension ix n => Lower ix -> Dimension n -> Int -> ix
iter :: Index ix => ix -> ix -> ix -> (Int -> Int -> Bool) -> a -> (ix -> a -> a) -> a
iterA_ :: forall ix f a. (Index ix, Applicative f) => ix -> ix -> ix -> (Int -> Int -> Bool) -> (ix -> f a) -> f ()
iterM_ :: (Index ix, Monad m) => ix -> ix -> ix -> (Int -> Int -> Bool) -> (ix -> m a) -> m ()
iterLinearM :: (Index ix, Monad m) => Sz ix -> Int -> Int -> Int -> (Int -> Int -> Bool) -> a -> (Int -> ix -> a -> m a) -> m a
iterLinearM_ :: (Index ix, Monad m) => Sz ix -> Int -> Int -> Int -> (Int -> Int -> Bool) -> (Int -> ix -> m ()) -> m ()
loop :: Int -> (Int -> Bool) -> (Int -> Int) -> a -> (Int -> a -> a) -> a
loopF :: Int -> (Int -> Bool) -> (Int -> Int) -> f a -> (Int -> f a -> f a) -> f a
nextMaybeF :: Int -> (Int -> Bool) -> (Int -> Int) -> (Maybe Int -> f a) -> f a
loopA :: Applicative f => Int -> (Int -> Bool) -> (Int -> Int) -> f b -> (Int -> f (b -> b)) -> f b
loopA_ :: Applicative f => Int -> (Int -> Bool) -> (Int -> Int) -> (Int -> f a) -> f ()
loopM :: Monad m => Int -> (Int -> Bool) -> (Int -> Int) -> a -> (Int -> a -> m a) -> m a
loopM_ :: Monad m => Int -> (Int -> Bool) -> (Int -> Int) -> (Int -> m a) -> m ()
iloopM :: Monad m => Int -> Int -> (Int -> Bool) -> (Int -> Int) -> a -> (Int -> Int -> a -> m a) -> m a
iloopA_ :: Applicative f => Int -> Int -> (Int -> Bool) -> (Int -> Int) -> (Int -> Int -> f a) -> f ()
loopNextM :: Monad m => Int -> (Int -> Bool) -> (Int -> Int) -> a -> (Int -> Int -> a -> m a) -> m a
loopNextA_ :: Applicative f => Int -> (Int -> Bool) -> (Int -> Int) -> (Int -> Int -> f a) -> f ()
loopDeepM :: Monad m => Int -> (Int -> Bool) -> (Int -> Int) -> a -> (Int -> a -> m a) -> m a
splitLinearly :: Int -> Int -> (Int -> Int -> a) -> a
splitLinearlyM :: MonadPrimBase s m => Scheduler s a -> Int -> (Int -> Int -> m a) -> m ()
splitLinearlyM_ :: MonadPrimBase s m => Scheduler s () -> Int -> (Int -> Int -> m ()) -> m ()
splitLinearlyWith_ :: MonadPrimBase s m => Scheduler s () -> Int -> (Int -> b) -> (Int -> b -> m ()) -> m ()
splitLinearlyWithM_ :: MonadPrimBase s m => Scheduler s () -> Int -> (Int -> m b) -> (Int -> b -> m c) -> m ()
splitLinearlyWithStartAtM_ :: MonadPrimBase s m => Scheduler s () -> Int -> Int -> (Int -> m b) -> (Int -> b -> m c) -> m ()
splitLinearlyWithStatefulM_ :: MonadUnliftIO m => SchedulerWS ws () -> Int -> (Int -> ws -> m b) -> (Int -> b -> m c) -> m ()
iterLinearST_ :: Int -> Scheduler s () -> Int -> Int -> Int -> (Int -> ST s a) -> ST s ()
iterLinearAccST_ :: Int -> Scheduler s () -> Int -> Int -> Int -> a -> (a -> ST s (a, a)) -> (Int -> a -> ST s a) -> ST s ()
iterLinearAccST :: Int -> Scheduler s a -> Int -> Int -> Int -> a -> (a -> ST s (a, a)) -> (Int -> a -> ST s a) -> ST s a
splitNumChunks :: Int -> Int -> Int -> (Int, Int)
stepStartAdjust :: Int -> Int -> Int
splitWorkWithFactorST :: Int -> Scheduler s a -> Int -> Int -> Int -> b -> (b -> ST s (b, b)) -> (Int -> Int -> Int -> Int -> b -> ST s a) -> ST s b
scheduleMassivWork :: PrimBase m => Scheduler (PrimState m) a -> m a -> m ()
withMassivScheduler_ :: Comp -> (Scheduler RealWorld () -> IO ()) -> IO ()
class Iterator it where
- iterTargetA_ :: (Index ix, Applicative f) => it -> Int -> Sz ix -> ix -> Stride ix -> (Ix1 -> ix -> f a) -> f ()
- iterTargetM :: (Index ix, Monad m) => it -> Ix1 -> Sz ix -> ix -> Stride ix -> a -> (Ix1 -> ix -> a -> m a) -> m a
- iterTargetWithStrideAccST :: Index ix => it -> Scheduler s a -> Ix1 -> Sz ix -> ix -> Stride ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s a
- iterTargetWithStrideAccST_ :: Index ix => it -> Scheduler s () -> Ix1 -> Sz ix -> ix -> Stride ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s ()
- iterFullM :: (Index ix, Monad m) => it -> ix -> Sz ix -> a -> (ix -> a -> m a) -> m a
- iterFullA_ :: (Index ix, Applicative f) => it -> ix -> Sz ix -> (ix -> f a) -> f ()
- iterFullAccST :: Index ix => it -> Scheduler s a -> ix -> Sz ix -> a -> (a -> ST s (a, a)) -> (ix -> a -> ST s a) -> ST s a
- iterTargetFullAccST :: Index ix => it -> Scheduler s a -> Ix1 -> Sz ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s a
- iterTargetFullAccST_ :: Index ix => it -> Scheduler s () -> Ix1 -> Sz ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s ()
- iterTargetFullST_ :: Index ix => it -> Scheduler s () -> Ix1 -> Sz ix -> (Ix1 -> ix -> ST s ()) -> ST s ()
- iterTargetWithStrideST_ :: Index ix => it -> Scheduler s () -> Ix1 -> Sz ix -> ix -> Stride ix -> (Ix1 -> ix -> ST s a) -> ST s ()
iterTargetAccST :: (Iterator it, Index ix) => it -> Scheduler s a -> Ix1 -> Sz ix -> ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s a
iterTargetAccST_ :: (Iterator it, Index ix) => it -> Scheduler s () -> Ix1 -> Sz ix -> ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s ()
iterTargetFullWithStrideAccST :: (Iterator it, Index ix) => it -> Scheduler s a -> Ix1 -> Sz ix -> Stride ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s a
iterTargetFullWithStrideAccST_ :: (Iterator it, Index ix) => it -> Scheduler s () -> Ix1 -> Sz ix -> Stride ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s ()
iterTargetST_ :: (Iterator it, Index ix) => it -> Scheduler s () -> Ix1 -> Sz ix -> ix -> (Ix1 -> ix -> ST s ()) -> ST s ()
iterTargetFullWithStrideST_ :: (Iterator it, Index ix) => it -> Scheduler s () -> Ix1 -> Sz ix -> Stride ix -> (Ix1 -> ix -> ST s ()) -> ST s ()
data RowMajor where
- pattern RowMajor :: Int -> RowMajor
defRowMajor :: RowMajor
newtype RowMajorLinear = RowMajorLinear Int
defRowMajorLinear :: RowMajorLinear
data RowMajorUnbalanced where
- pattern RowMajorUnbalanced :: Int -> RowMajorUnbalanced
defRowMajorUnbalanced :: RowMajorUnbalanced
type Ix1T = Int
type Ix2T = (Int, Int)
toIx2 :: Ix2T -> Ix2
fromIx2 :: Ix2 -> Ix2T
type Ix3T = (Int, Int, Int)
toIx3 :: Ix3T -> Ix3
fromIx3 :: Ix3 -> Ix3T
type Ix4T = (Int, Int, Int, Int)
toIx4 :: Ix4T -> Ix4
fromIx4 :: Ix4 -> Ix4T
type Ix5T = (Int, Int, Int, Int, Int)
toIx5 :: Ix5T -> Ix5
fromIx5 :: Ix5 -> Ix5T
data IndexException where
- IndexZeroException :: Index ix => !ix -> IndexException
- IndexDimensionException :: (NFData ix, Eq ix, Show ix, Typeable ix) => !ix -> !Dim -> IndexException
- IndexOutOfBoundsException :: Index ix => !(Sz ix) -> !ix -> IndexException
data SizeException where
- SizeMismatchException :: Index ix => !(Sz ix) -> !(Sz ix) -> SizeException
- SizeElementsMismatchException :: (Index ix, Index ix') => !(Sz ix) -> !(Sz ix') -> SizeException
- SizeSubregionException :: Index ix => !(Sz ix) -> !ix -> !(Sz ix) -> SizeException
- SizeEmptyException :: Index ix => !(Sz ix) -> SizeException
- SizeOverflowException :: Index ix => !(Sz ix) -> SizeException
- SizeNegativeException :: Index ix => !(Sz ix) -> SizeException
data ShapeException
- = DimTooShortException !Dim !(Sz Ix1) !(Sz Ix1)
- | DimTooLongException !Dim !(Sz Ix1) !(Sz Ix1)
- | ShapeNonEmpty
guardNumberOfElements :: (MonadThrow m, Index ix, Index ix') => Sz ix -> Sz ix' -> m ()
indexWith :: Index ix => String -> Int -> String -> (arr -> Sz ix) -> (arr -> ix -> e) -> arr -> ix -> e

Documentation

data Ix0 Source #

Zero-dimension, i.e. a scalar. Can't really be used directly as there is no instance of Index for it, and is included for completeness.

Constructors

Ix0

Instances

Instances details

Eq Ix0 Source #
Instance details Defined in Data.Massiv.Core.Index.Internal Methods (==) :: Ix0 -> Ix0 -> Bool # (/=) :: Ix0 -> Ix0 -> Bool #
Ord Ix0 Source #
Instance details Defined in Data.Massiv.Core.Index.Internal Methods compare :: Ix0 -> Ix0 -> Ordering # (<) :: Ix0 -> Ix0 -> Bool # (<=) :: Ix0 -> Ix0 -> Bool # (>) :: Ix0 -> Ix0 -> Bool # (>=) :: Ix0 -> Ix0 -> Bool # max :: Ix0 -> Ix0 -> Ix0 # min :: Ix0 -> Ix0 -> Ix0 #
Show Ix0 Source #
Instance details Defined in Data.Massiv.Core.Index.Internal Methods showsPrec :: Int -> Ix0 -> ShowS # show :: Ix0 -> String # showList :: [Ix0] -> ShowS #
NFData Ix0 Source #
Instance details Defined in Data.Massiv.Core.Index.Internal Methods rnf :: Ix0 -> () #

type Ix1 = Int Source #

A type synonym for 1-dimensional index, i.e. Int.

>>> 5 :: Ix1
5

Since: 0.1.0

pattern Ix1 :: Int -> Ix1 Source #

This is a very handy pattern synonym to indicate that any arbitrary Integral literal is an Int, e.g. a 1-dimensional index: (Ix1 5) == (5 :: Int)

>>> Ix1 5
5
>>> :t Ix1 5
Ix1 5 :: Ix1

Since: 0.1.0

data Ix2 Source #

2-dimensional index. This is also a base index for higher dimensions.

Since: 0.1.0

Constructors

!Int :. !Int infixr 5

Bundled Patterns

pattern Ix2 :: Int -> Int -> Ix2

2-dimensional index constructor. Useful when infix notation is inconvenient. (Ix2 i j) == (i :. j)

Since: 0.1.0

Instances

Instances details

Bounded Ix2 Source #
Instance details Defined in Data.Massiv.Core.Index.Ix Methods minBound :: Ix2 # maxBound :: Ix2 #
Eq Ix2 Source #
Instance details Defined in Data.Massiv.Core.Index.Ix Methods (==) :: Ix2 -> Ix2 -> Bool # (/=) :: Ix2 -> Ix2 -> Bool #
Num Ix2 Source #
Instance details Defined in Data.Massiv.Core.Index.Ix Methods (+) :: Ix2 -> Ix2 -> Ix2 # (-) :: Ix2 -> Ix2 -> Ix2 # (*) :: Ix2 -> Ix2 -> Ix2 # negate :: Ix2 -> Ix2 # abs :: Ix2 -> Ix2 # signum :: Ix2 -> Ix2 # fromInteger :: Integer -> Ix2 #
Ord Ix2 Source #
Instance details Defined in Data.Massiv.Core.Index.Ix Methods compare :: Ix2 -> Ix2 -> Ordering # (<) :: Ix2 -> Ix2 -> Bool # (<=) :: Ix2 -> Ix2 -> Bool # (>) :: Ix2 -> Ix2 -> Bool # (>=) :: Ix2 -> Ix2 -> Bool # max :: Ix2 -> Ix2 -> Ix2 # min :: Ix2 -> Ix2 -> Ix2 #
Show Ix2 Source #
Instance details Defined in Data.Massiv.Core.Index.Ix Methods showsPrec :: Int -> Ix2 -> ShowS # show :: Ix2 -> String # showList :: [Ix2] -> ShowS #
Ix Ix2 Source #
Instance details Defined in Data.Massiv.Core.Index.Ix Methods range :: (Ix2, Ix2) -> [Ix2] # index :: (Ix2, Ix2) -> Ix2 -> Int # unsafeIndex :: (Ix2, Ix2) -> Ix2 -> Int # inRange :: (Ix2, Ix2) -> Ix2 -> Bool # rangeSize :: (Ix2, Ix2) -> Int # unsafeRangeSize :: (Ix2, Ix2) -> Int #
NFData Ix2 Source #
Instance details Defined in Data.Massiv.Core.Index.Ix Methods rnf :: Ix2 -> () #
Random Ix2 Source #
Instance details Defined in Data.Massiv.Core.Index.Ix Methods randomR :: RandomGen g => (Ix2, Ix2) -> g -> (Ix2, g) # random :: RandomGen g => g -> (Ix2, g) # randomRs :: RandomGen g => (Ix2, Ix2) -> g -> [Ix2] # randoms :: RandomGen g => g -> [Ix2] #
Uniform Ix2 Source #
Instance details Defined in Data.Massiv.Core.Index.Ix Methods uniformM :: StatefulGen g m => g -> m Ix2 #
UniformRange Ix2 Source #
Instance details Defined in Data.Massiv.Core.Index.Ix Methods uniformRM :: StatefulGen g m => (Ix2, Ix2) -> g -> m Ix2 #
Unbox Ix2 Source #	Unboxing of a `Ix2`.
Instance details Defined in Data.Massiv.Core.Index.Ix
Index Ix2 Source #
Instance details Defined in Data.Massiv.Core.Index.Ix Associated Types type Dimensions Ix2 :: Nat Source # Methods dimensions :: proxy Ix2 -> Dim Source # totalElem :: Sz Ix2 -> Int Source # consDim :: Int -> Lower Ix2 -> Ix2 Source # unconsDim :: Ix2 -> (Int, Lower Ix2) Source # snocDim :: Lower Ix2 -> Int -> Ix2 Source # unsnocDim :: Ix2 -> (Lower Ix2, Int) Source # pullOutDimM :: MonadThrow m => Ix2 -> Dim -> m (Int, Lower Ix2) Source # insertDimM :: MonadThrow m => Lower Ix2 -> Dim -> Int -> m Ix2 Source # getDimM :: MonadThrow m => Ix2 -> Dim -> m Int Source # setDimM :: MonadThrow m => Ix2 -> Dim -> Int -> m Ix2 Source # modifyDimM :: MonadThrow m => Ix2 -> Dim -> (Int -> Int) -> m (Int, Ix2) Source # pureIndex :: Int -> Ix2 Source # liftIndex2 :: (Int -> Int -> Int) -> Ix2 -> Ix2 -> Ix2 Source # liftIndex :: (Int -> Int) -> Ix2 -> Ix2 Source # foldlIndex :: (a -> Int -> a) -> a -> Ix2 -> a Source # isSafeIndex :: Sz Ix2 -> Ix2 -> Bool Source # toLinearIndex :: Sz Ix2 -> Ix2 -> Ix1 Source # toLinearIndexAcc :: Ix1 -> Ix2 -> Ix2 -> Ix1 Source # fromLinearIndex :: Sz Ix2 -> Ix1 -> Ix2 Source # fromLinearIndexAcc :: Ix2 -> Ix1 -> (Int, Ix2) Source # repairIndex :: Sz Ix2 -> Ix2 -> (Sz Int -> Int -> Int) -> (Sz Int -> Int -> Int) -> Ix2 Source # iterM :: Monad m => Ix2 -> Ix2 -> Ix2 -> (Int -> Int -> Bool) -> a -> (Ix2 -> a -> m a) -> m a Source # iterRowMajorST :: Int -> Scheduler s a -> Ix2 -> Ix2 -> Sz Ix2 -> a -> (a -> ST s (a, a)) -> (Ix2 -> a -> ST s a) -> ST s a Source # iterF :: Ix2 -> Ix2 -> Ix2 -> (Int -> Int -> Bool) -> f a -> (Ix2 -> f a -> f a) -> f a Source # stepNextMF :: Ix2 -> Ix2 -> Ix2 -> (Int -> Int -> Bool) -> (Maybe Ix2 -> f a) -> f a Source # iterTargetRowMajorA_ :: Applicative f => Int -> Int -> Sz Ix2 -> Ix2 -> Ix2 -> (Ix1 -> Ix2 -> f a) -> f () Source # iterTargetRowMajorAccM :: Monad m => Int -> Int -> Sz Ix2 -> Ix2 -> Ix2 -> a -> (Ix1 -> Ix2 -> a -> m a) -> m a Source # iterTargetRowMajorAccST :: Int -> Int -> Scheduler s a -> Int -> Sz Ix2 -> Ix2 -> Ix2 -> a -> (a -> ST s (a, a)) -> (Ix1 -> Ix2 -> a -> ST s a) -> ST s a Source # iterTargetRowMajorAccST_ :: Int -> Int -> Scheduler s () -> Int -> Sz Ix2 -> Ix2 -> Ix2 -> a -> (a -> ST s (a, a)) -> (Ix1 -> Ix2 -> a -> ST s a) -> ST s () Source #
Vector Vector Ix2 Source #
Instance details Defined in Data.Massiv.Core.Index.Ix Methods basicUnsafeFreeze :: Mutable Vector s Ix2 -> ST s (Vector Ix2) # basicUnsafeThaw :: Vector Ix2 -> ST s (Mutable Vector s Ix2) # basicLength :: Vector Ix2 -> Int # basicUnsafeSlice :: Int -> Int -> Vector Ix2 -> Vector Ix2 # basicUnsafeIndexM :: Vector Ix2 -> Int -> Box Ix2 # basicUnsafeCopy :: Mutable Vector s Ix2 -> Vector Ix2 -> ST s () # elemseq :: Vector Ix2 -> Ix2 -> b -> b #
MVector MVector Ix2 Source #
Instance details Defined in Data.Massiv.Core.Index.Ix Methods basicLength :: MVector s Ix2 -> Int # basicUnsafeSlice :: Int -> Int -> MVector s Ix2 -> MVector s Ix2 # basicOverlaps :: MVector s Ix2 -> MVector s Ix2 -> Bool # basicUnsafeNew :: Int -> ST s (MVector s Ix2) # basicInitialize :: MVector s Ix2 -> ST s () # basicUnsafeReplicate :: Int -> Ix2 -> ST s (MVector s Ix2) # basicUnsafeRead :: MVector s Ix2 -> Int -> ST s Ix2 # basicUnsafeWrite :: MVector s Ix2 -> Int -> Ix2 -> ST s () # basicClear :: MVector s Ix2 -> ST s () # basicSet :: MVector s Ix2 -> Ix2 -> ST s () # basicUnsafeCopy :: MVector s Ix2 -> MVector s Ix2 -> ST s () # basicUnsafeMove :: MVector s Ix2 -> MVector s Ix2 -> ST s () # basicUnsafeGrow :: MVector s Ix2 -> Int -> ST s (MVector s Ix2) #
Shape L Ix2 Source #
Instance details Defined in Data.Massiv.Core.List Methods linearSizeHint :: Array L Ix2 e -> LengthHint Source # linearSize :: Array L Ix2 e -> Sz1 Source # outerSize :: Array L Ix2 e -> Sz Ix2 Source # maxLinearSize :: Array L Ix2 e -> Maybe Sz1 Source # isNull :: Array L Ix2 e -> Bool Source #
Ragged L Ix2 e Source #
Instance details Defined in Data.Massiv.Core.List Methods generateRaggedM :: Monad m => Comp -> Sz Ix2 -> (Ix2 -> m e) -> m (Array L Ix2 e) flattenRagged :: Array L Ix2 e -> Vector L e loadRaggedST :: Scheduler s () -> Array L Ix2 e -> (Ix1 -> e -> ST s ()) -> Ix1 -> Ix1 -> Sz Ix2 -> ST s () raggedFormat :: (e -> String) -> String -> Array L Ix2 e -> String
StrideLoad DW Ix2 e Source #
Instance details Defined in Data.Massiv.Array.Delayed.Windowed Methods iterArrayLinearWithStrideST_ :: Scheduler s () -> Stride Ix2 -> Sz Ix2 -> Array DW Ix2 e -> (Int -> e -> ST s ()) -> ST s () Source #
Load DW Ix2 e Source #
Instance details Defined in Data.Massiv.Array.Delayed.Windowed Methods makeArray :: Comp -> Sz Ix2 -> (Ix2 -> e) -> Array DW Ix2 e Source # makeArrayLinear :: Comp -> Sz Ix2 -> (Int -> e) -> Array DW Ix2 e Source # replicate :: Comp -> Sz Ix2 -> e -> Array DW Ix2 e Source # iterArrayLinearST_ :: Scheduler s () -> Array DW Ix2 e -> (Int -> e -> ST s ()) -> ST s () Source # iterArrayLinearWithSetST_ :: Scheduler s () -> Array DW Ix2 e -> (Ix1 -> e -> ST s ()) -> (Ix1 -> Sz1 -> e -> ST s ()) -> ST s () Source # unsafeLoadIntoST :: Manifest r' e => MVector s r' e -> Array DW Ix2 e -> ST s (MArray s r' Ix2 e) Source # unsafeLoadIntoIO :: Manifest r' e => MVector RealWorld r' e -> Array DW Ix2 e -> IO (MArray RealWorld r' Ix2 e) Source #
newtype Vector Ix2 Source #
Instance details Defined in Data.Massiv.Core.Index.Ix newtype Vector Ix2 = V_Ix2 (Vector (Int, Int))
type Dimensions Ix2 Source #
Instance details Defined in Data.Massiv.Core.Index.Ix type Dimensions Ix2 = 2
type Lower Ix2 Source #
Instance details Defined in Data.Massiv.Core.Index.Ix type Lower Ix2 = Ix1
newtype MVector s Ix2 Source #
Instance details Defined in Data.Massiv.Core.Index.Ix newtype MVector s Ix2 = MV_Ix2 (MVector s (Int, Int))

data IxN (n :: Nat) Source #

n-dimensional index. Needs a base case, which is the Ix2.

Since: 0.1.0

Constructors

!Int :> !(Ix (n - 1)) infixr 5

Bundled Patterns

pattern Ix3 :: Int -> Int -> Int -> Ix3

3-dimensional index constructor. (Ix3 i j k) == (i :> j :. k)

Since: 0.1.0

pattern Ix4 :: Int -> Int -> Int -> Int -> Ix4

4-dimensional index constructor. (Ix4 i j k l) == (i :> j :> k :. l)

Since: 0.1.0

pattern Ix5 :: Int -> Int -> Int -> Int -> Int -> Ix5

5-dimensional index constructor. (Ix5 i j k l m) == (i :> j :> k :> l :. m)

Since: 0.1.0

Instances

Instances details

Bounded Ix3 Source #
Instance details Defined in Data.Massiv.Core.Index.Ix Methods minBound :: Ix3 # maxBound :: Ix3 #
Num Ix3 Source #
Instance details Defined in Data.Massiv.Core.Index.Ix Methods (+) :: Ix3 -> Ix3 -> Ix3 # (-) :: Ix3 -> Ix3 -> Ix3 # (*) :: Ix3 -> Ix3 -> Ix3 # negate :: Ix3 -> Ix3 # abs :: Ix3 -> Ix3 # signum :: Ix3 -> Ix3 # fromInteger :: Integer -> Ix3 #
(3 <= n, Unbox (Ix (n - 1))) => Vector Vector (IxN n) Source #
Instance details Defined in Data.Massiv.Core.Index.Ix Methods basicUnsafeFreeze :: Mutable Vector s (IxN n) -> ST s (Vector (IxN n)) # basicUnsafeThaw :: Vector (IxN n) -> ST s (Mutable Vector s (IxN n)) # basicLength :: Vector (IxN n) -> Int # basicUnsafeSlice :: Int -> Int -> Vector (IxN n) -> Vector (IxN n) # basicUnsafeIndexM :: Vector (IxN n) -> Int -> Box (IxN n) # basicUnsafeCopy :: Mutable Vector s (IxN n) -> Vector (IxN n) -> ST s () # elemseq :: Vector (IxN n) -> IxN n -> b -> b #
(3 <= n, Unbox (Ix (n - 1))) => MVector MVector (IxN n) Source #
Instance details Defined in Data.Massiv.Core.Index.Ix Methods basicLength :: MVector s (IxN n) -> Int # basicUnsafeSlice :: Int -> Int -> MVector s (IxN n) -> MVector s (IxN n) # basicOverlaps :: MVector s (IxN n) -> MVector s (IxN n) -> Bool # basicUnsafeNew :: Int -> ST s (MVector s (IxN n)) # basicInitialize :: MVector s (IxN n) -> ST s () # basicUnsafeReplicate :: Int -> IxN n -> ST s (MVector s (IxN n)) # basicUnsafeRead :: MVector s (IxN n) -> Int -> ST s (IxN n) # basicUnsafeWrite :: MVector s (IxN n) -> Int -> IxN n -> ST s () # basicClear :: MVector s (IxN n) -> ST s () # basicSet :: MVector s (IxN n) -> IxN n -> ST s () # basicUnsafeCopy :: MVector s (IxN n) -> MVector s (IxN n) -> ST s () # basicUnsafeMove :: MVector s (IxN n) -> MVector s (IxN n) -> ST s () # basicUnsafeGrow :: MVector s (IxN n) -> Int -> ST s (MVector s (IxN n)) #
(Shape L (Ix (n - 1)), Index (IxN n)) => Shape L (IxN n) Source #
Instance details Defined in Data.Massiv.Core.List Methods linearSizeHint :: Array L (IxN n) e -> LengthHint Source # linearSize :: Array L (IxN n) e -> Sz1 Source # outerSize :: Array L (IxN n) e -> Sz (IxN n) Source # maxLinearSize :: Array L (IxN n) e -> Maybe Sz1 Source # isNull :: Array L (IxN n) e -> Bool Source #
(Shape L (IxN n), Ragged L (Ix (n - 1)) e, Coercible (Elt (Ix (n - 1)) e) (ListItem (Ix (n - 1)) e)) => Ragged L (IxN n) e Source #
Instance details Defined in Data.Massiv.Core.List Methods generateRaggedM :: Monad m => Comp -> Sz (IxN n) -> (IxN n -> m e) -> m (Array L (IxN n) e) flattenRagged :: Array L (IxN n) e -> Vector L e loadRaggedST :: Scheduler s () -> Array L (IxN n) e -> (Ix1 -> e -> ST s ()) -> Ix1 -> Ix1 -> Sz (IxN n) -> ST s () raggedFormat :: (e -> String) -> String -> Array L (IxN n) e -> String
(Index (IxN n), StrideLoad DW (Ix (n - 1)) e) => StrideLoad DW (IxN n) e Source #
Instance details Defined in Data.Massiv.Array.Delayed.Windowed Methods iterArrayLinearWithStrideST_ :: Scheduler s () -> Stride (IxN n) -> Sz (IxN n) -> Array DW (IxN n) e -> (Int -> e -> ST s ()) -> ST s () Source #
(Index (IxN n), Load DW (Ix (n - 1)) e) => Load DW (IxN n) e Source #
Instance details Defined in Data.Massiv.Array.Delayed.Windowed Methods makeArray :: Comp -> Sz (IxN n) -> (IxN n -> e) -> Array DW (IxN n) e Source # makeArrayLinear :: Comp -> Sz (IxN n) -> (Int -> e) -> Array DW (IxN n) e Source # replicate :: Comp -> Sz (IxN n) -> e -> Array DW (IxN n) e Source # iterArrayLinearST_ :: Scheduler s () -> Array DW (IxN n) e -> (Int -> e -> ST s ()) -> ST s () Source # iterArrayLinearWithSetST_ :: Scheduler s () -> Array DW (IxN n) e -> (Ix1 -> e -> ST s ()) -> (Ix1 -> Sz1 -> e -> ST s ()) -> ST s () Source # unsafeLoadIntoST :: Manifest r' e => MVector s r' e -> Array DW (IxN n) e -> ST s (MArray s r' (IxN n) e) Source # unsafeLoadIntoIO :: Manifest r' e => MVector RealWorld r' e -> Array DW (IxN n) e -> IO (MArray RealWorld r' (IxN n) e) Source #
HighIxN n => Bounded (IxN n) Source #
Instance details Defined in Data.Massiv.Core.Index.Ix Methods minBound :: IxN n # maxBound :: IxN n #
Eq (Ix (n - 1)) => Eq (IxN n) Source #
Instance details Defined in Data.Massiv.Core.Index.Ix Methods (==) :: IxN n -> IxN n -> Bool # (/=) :: IxN n -> IxN n -> Bool #
HighIxN n => Num (IxN n) Source #
Instance details Defined in Data.Massiv.Core.Index.Ix Methods (+) :: IxN n -> IxN n -> IxN n # (-) :: IxN n -> IxN n -> IxN n # (*) :: IxN n -> IxN n -> IxN n # negate :: IxN n -> IxN n # abs :: IxN n -> IxN n # signum :: IxN n -> IxN n # fromInteger :: Integer -> IxN n #
Ord (Ix (n - 1)) => Ord (IxN n) Source #
Instance details Defined in Data.Massiv.Core.Index.Ix Methods compare :: IxN n -> IxN n -> Ordering # (<) :: IxN n -> IxN n -> Bool # (<=) :: IxN n -> IxN n -> Bool # (>) :: IxN n -> IxN n -> Bool # (>=) :: IxN n -> IxN n -> Bool # max :: IxN n -> IxN n -> IxN n # min :: IxN n -> IxN n -> IxN n #
Show (Ix (n - 1)) => Show (IxN n) Source #
Instance details Defined in Data.Massiv.Core.Index.Ix Methods showsPrec :: Int -> IxN n -> ShowS # show :: IxN n -> String # showList :: [IxN n] -> ShowS #
Ix (Ix (n - 1)) => Ix (IxN n) Source #
Instance details Defined in Data.Massiv.Core.Index.Ix Methods range :: (IxN n, IxN n) -> [IxN n] # index :: (IxN n, IxN n) -> IxN n -> Int # unsafeIndex :: (IxN n, IxN n) -> IxN n -> Int # inRange :: (IxN n, IxN n) -> IxN n -> Bool # rangeSize :: (IxN n, IxN n) -> Int # unsafeRangeSize :: (IxN n, IxN n) -> Int #
NFData (IxN n) Source #
Instance details Defined in Data.Massiv.Core.Index.Ix Methods rnf :: IxN n -> () #
Random (Ix (n - 1)) => Random (IxN n) Source #
Instance details Defined in Data.Massiv.Core.Index.Ix Methods randomR :: RandomGen g => (IxN n, IxN n) -> g -> (IxN n, g) # random :: RandomGen g => g -> (IxN n, g) # randomRs :: RandomGen g => (IxN n, IxN n) -> g -> [IxN n] # randoms :: RandomGen g => g -> [IxN n] #
Uniform (Ix (n - 1)) => Uniform (IxN n) Source #
Instance details Defined in Data.Massiv.Core.Index.Ix Methods uniformM :: StatefulGen g m => g -> m (IxN n) #
UniformRange (Ix (n - 1)) => UniformRange (IxN n) Source #
Instance details Defined in Data.Massiv.Core.Index.Ix Methods uniformRM :: StatefulGen g m => (IxN n, IxN n) -> g -> m (IxN n) #
(3 <= n, Unbox (Ix (n - 1))) => Unbox (IxN n) Source #	Unboxing of a `IxN`.
Instance details Defined in Data.Massiv.Core.Index.Ix
HighIxN n => Index (IxN n) Source #
Instance details Defined in Data.Massiv.Core.Index.Ix Associated Types type Dimensions (IxN n) :: Nat Source # Methods dimensions :: proxy (IxN n) -> Dim Source # totalElem :: Sz (IxN n) -> Int Source # consDim :: Int -> Lower (IxN n) -> IxN n Source # unconsDim :: IxN n -> (Int, Lower (IxN n)) Source # snocDim :: Lower (IxN n) -> Int -> IxN n Source # unsnocDim :: IxN n -> (Lower (IxN n), Int) Source # pullOutDimM :: MonadThrow m => IxN n -> Dim -> m (Int, Lower (IxN n)) Source # insertDimM :: MonadThrow m => Lower (IxN n) -> Dim -> Int -> m (IxN n) Source # getDimM :: MonadThrow m => IxN n -> Dim -> m Int Source # setDimM :: MonadThrow m => IxN n -> Dim -> Int -> m (IxN n) Source # modifyDimM :: MonadThrow m => IxN n -> Dim -> (Int -> Int) -> m (Int, IxN n) Source # pureIndex :: Int -> IxN n Source # liftIndex2 :: (Int -> Int -> Int) -> IxN n -> IxN n -> IxN n Source # liftIndex :: (Int -> Int) -> IxN n -> IxN n Source # foldlIndex :: (a -> Int -> a) -> a -> IxN n -> a Source # isSafeIndex :: Sz (IxN n) -> IxN n -> Bool Source # toLinearIndex :: Sz (IxN n) -> IxN n -> Ix1 Source # toLinearIndexAcc :: Ix1 -> IxN n -> IxN n -> Ix1 Source # fromLinearIndex :: Sz (IxN n) -> Ix1 -> IxN n Source # fromLinearIndexAcc :: IxN n -> Ix1 -> (Int, IxN n) Source # repairIndex :: Sz (IxN n) -> IxN n -> (Sz Int -> Int -> Int) -> (Sz Int -> Int -> Int) -> IxN n Source # iterM :: Monad m => IxN n -> IxN n -> IxN n -> (Int -> Int -> Bool) -> a -> (IxN n -> a -> m a) -> m a Source # iterRowMajorST :: Int -> Scheduler s a -> IxN n -> IxN n -> Sz (IxN n) -> a -> (a -> ST s (a, a)) -> (IxN n -> a -> ST s a) -> ST s a Source # iterF :: IxN n -> IxN n -> IxN n -> (Int -> Int -> Bool) -> f a -> (IxN n -> f a -> f a) -> f a Source # stepNextMF :: IxN n -> IxN n -> IxN n -> (Int -> Int -> Bool) -> (Maybe (IxN n) -> f a) -> f a Source # iterTargetRowMajorA_ :: Applicative f => Int -> Int -> Sz (IxN n) -> IxN n -> IxN n -> (Ix1 -> IxN n -> f a) -> f () Source # iterTargetRowMajorAccM :: Monad m => Int -> Int -> Sz (IxN n) -> IxN n -> IxN n -> a -> (Ix1 -> IxN n -> a -> m a) -> m a Source # iterTargetRowMajorAccST :: Int -> Int -> Scheduler s a -> Int -> Sz (IxN n) -> IxN n -> IxN n -> a -> (a -> ST s (a, a)) -> (Ix1 -> IxN n -> a -> ST s a) -> ST s a Source # iterTargetRowMajorAccST_ :: Int -> Int -> Scheduler s () -> Int -> Sz (IxN n) -> IxN n -> IxN n -> a -> (a -> ST s (a, a)) -> (Ix1 -> IxN n -> a -> ST s a) -> ST s () Source #
Index (IxN 3) Source #
Instance details Defined in Data.Massiv.Core.Index.Ix Associated Types type Dimensions (IxN 3) :: Nat Source # Methods dimensions :: proxy (IxN 3) -> Dim Source # totalElem :: Sz (IxN 3) -> Int Source # consDim :: Int -> Lower (IxN 3) -> IxN 3 Source # unconsDim :: IxN 3 -> (Int, Lower (IxN 3)) Source # snocDim :: Lower (IxN 3) -> Int -> IxN 3 Source # unsnocDim :: IxN 3 -> (Lower (IxN 3), Int) Source # pullOutDimM :: MonadThrow m => IxN 3 -> Dim -> m (Int, Lower (IxN 3)) Source # insertDimM :: MonadThrow m => Lower (IxN 3) -> Dim -> Int -> m (IxN 3) Source # getDimM :: MonadThrow m => IxN 3 -> Dim -> m Int Source # setDimM :: MonadThrow m => IxN 3 -> Dim -> Int -> m (IxN 3) Source # modifyDimM :: MonadThrow m => IxN 3 -> Dim -> (Int -> Int) -> m (Int, IxN 3) Source # pureIndex :: Int -> IxN 3 Source # liftIndex2 :: (Int -> Int -> Int) -> IxN 3 -> IxN 3 -> IxN 3 Source # liftIndex :: (Int -> Int) -> IxN 3 -> IxN 3 Source # foldlIndex :: (a -> Int -> a) -> a -> IxN 3 -> a Source # isSafeIndex :: Sz (IxN 3) -> IxN 3 -> Bool Source # toLinearIndex :: Sz (IxN 3) -> IxN 3 -> Ix1 Source # toLinearIndexAcc :: Ix1 -> IxN 3 -> IxN 3 -> Ix1 Source # fromLinearIndex :: Sz (IxN 3) -> Ix1 -> IxN 3 Source # fromLinearIndexAcc :: IxN 3 -> Ix1 -> (Int, IxN 3) Source # repairIndex :: Sz (IxN 3) -> IxN 3 -> (Sz Int -> Int -> Int) -> (Sz Int -> Int -> Int) -> IxN 3 Source # iterM :: Monad m => IxN 3 -> IxN 3 -> IxN 3 -> (Int -> Int -> Bool) -> a -> (IxN 3 -> a -> m a) -> m a Source # iterRowMajorST :: Int -> Scheduler s a -> IxN 3 -> IxN 3 -> Sz (IxN 3) -> a -> (a -> ST s (a, a)) -> (IxN 3 -> a -> ST s a) -> ST s a Source # iterF :: IxN 3 -> IxN 3 -> IxN 3 -> (Int -> Int -> Bool) -> f a -> (IxN 3 -> f a -> f a) -> f a Source # stepNextMF :: IxN 3 -> IxN 3 -> IxN 3 -> (Int -> Int -> Bool) -> (Maybe (IxN 3) -> f a) -> f a Source # iterTargetRowMajorA_ :: Applicative f => Int -> Int -> Sz (IxN 3) -> IxN 3 -> IxN 3 -> (Ix1 -> IxN 3 -> f a) -> f () Source # iterTargetRowMajorAccM :: Monad m => Int -> Int -> Sz (IxN 3) -> IxN 3 -> IxN 3 -> a -> (Ix1 -> IxN 3 -> a -> m a) -> m a Source # iterTargetRowMajorAccST :: Int -> Int -> Scheduler s a -> Int -> Sz (IxN 3) -> IxN 3 -> IxN 3 -> a -> (a -> ST s (a, a)) -> (Ix1 -> IxN 3 -> a -> ST s a) -> ST s a Source # iterTargetRowMajorAccST_ :: Int -> Int -> Scheduler s () -> Int -> Sz (IxN 3) -> IxN 3 -> IxN 3 -> a -> (a -> ST s (a, a)) -> (Ix1 -> IxN 3 -> a -> ST s a) -> ST s () Source #
type Dimensions Ix3 Source #
Instance details Defined in Data.Massiv.Core.Index.Ix type Dimensions Ix3 = 3
newtype MVector s (IxN n) Source #
Instance details Defined in Data.Massiv.Core.Index.Ix newtype MVector s (IxN n) = MV_IxN (MVector s Int, MVector s (Ix (n - 1)))
newtype Vector (IxN n) Source #
Instance details Defined in Data.Massiv.Core.Index.Ix newtype Vector (IxN n) = V_IxN (Vector Int, Vector (Ix (n - 1)))
type Dimensions (IxN n) Source #
Instance details Defined in Data.Massiv.Core.Index.Ix type Dimensions (IxN n) = n
type Lower (IxN n) Source #
Instance details Defined in Data.Massiv.Core.Index.Ix type Lower (IxN n) = Ix (n - 1)

type HighIxN n = (4 <= n, KnownNat n, KnownNat (n - 1), Index (IxN (n - 1)), IxN (n - 1) ~ Ix (n - 1)) Source #

Constraint synonym that encapsulates all constraints needed for dimension 4 and higher.

Since: 1.0.0

type Ix3 = IxN 3 Source #

3-dimensional type synonym. Useful as a alternative to enabling DataKinds and using type level Nats.

Since: 0.1.0

type Ix4 = IxN 4 Source #

4-dimensional type synonym.

Since: 0.1.0

type Ix5 = IxN 5 Source #

5-dimensional type synonym.

Since: 0.1.0

type family Ix (n :: Nat) = r | r -> n where ... Source #

Defines n-dimensional index by relating a general IxN with few base cases.

Since: 0.1.0

Equations

Ix 0 = Ix0
Ix 1 = Ix1
Ix 2 = Ix2
Ix n = IxN n

Size

type Sz1 = Sz Ix1 Source #

1-dimensional type synonym for size.

Since: 0.3.0

type Sz2 = Sz Ix2 Source #

2-dimensional size type synonym.

Since: 0.3.0

type Sz3 = Sz Ix3 Source #

3-dimensional size type synonym.

Since: 0.3.0

type Sz4 = Sz Ix4 Source #

4-dimensional size type synonym.

Since: 0.3.0

type Sz5 = Sz Ix5 Source #

5-dimensional size type synonym.

Since: 0.3.0

data Sz ix where Source #

Sz is the size of the array. It describes total number of elements along each dimension in the array. It is a wrapper around an index of the same dimension, however it provides type safety preventing mixup with index. Moreover the Sz constructor and others such as Sz1, Sz2, ... that are specialized to specific dimensions, prevent creation of invalid sizes with negative values by clamping them to zero.

Examples

Expand

>>> import Data.Massiv.Array
>>> Sz (1 :> 2 :. 3)
Sz (1 :> 2 :. 3)

Sz has a Num instance, which is very convenient:

>>> Sz (1 :> 2 :. 3) + 5
Sz (6 :> 7 :. 8)

However subtraction can sometimes lead to surprising behavior, because size is not allowed to take negative values it will be clamped at 0.

>>> Sz (1 :> 2 :. 3) - 2
Sz (0 :> 0 :. 1)

Warning: It is always wrong to negate a size, thus it will result in an error. For that reason also watch out for partially applied (- sz), which is deugared into negate sz. See more info about it in #114.

Since: 0.3.0

Bundled Patterns

pattern Sz :: Index ix => ix -> Sz ix	A safe bidirectional pattern synonym for `Sz` construction that will make sure that none of the size elements are negative. Since: 0.3.0
pattern Sz1 :: Ix1 -> Sz Ix1	1-dimensional size constructor. Especially useful with literals: `(Sz1 5) == Sz (5 :: Int)`. Since: 0.3.0
pattern Sz2 :: Int -> Int -> Sz Ix2	2-dimensional size constructor. `(Sz2 i j) == Sz (i :. j)` Since: 0.3.0
pattern Sz3 :: Int -> Int -> Int -> Sz Ix3	3-dimensional size constructor. `(Sz3 i j k) == Sz (i :> j :. k)` Since: 0.3.0
pattern Sz4 :: Int -> Int -> Int -> Int -> Sz Ix4	4-dimensional size constructor. `(Sz4 i j k l) == Sz (i :> j :> k :. l)` Since: 0.3.0
pattern Sz5 :: Int -> Int -> Int -> Int -> Int -> Sz Ix5	5-dimensional size constructor. `(Sz5 i j k l m) == Sz (i :> j :> k :> l :. m)` Since: 0.3.0

Instances

Instances details

Eq ix => Eq (Sz ix) Source #
Instance details Defined in Data.Massiv.Core.Index.Internal Methods (==) :: Sz ix -> Sz ix -> Bool # (/=) :: Sz ix -> Sz ix -> Bool #
(Num ix, Index ix) => Num (Sz ix) Source #	Calling `negate` is an error.
Instance details Defined in Data.Massiv.Core.Index.Internal Methods (+) :: Sz ix -> Sz ix -> Sz ix # (-) :: Sz ix -> Sz ix -> Sz ix # (*) :: Sz ix -> Sz ix -> Sz ix # negate :: Sz ix -> Sz ix # abs :: Sz ix -> Sz ix # signum :: Sz ix -> Sz ix # fromInteger :: Integer -> Sz ix #
Ord ix => Ord (Sz ix) Source #
Instance details Defined in Data.Massiv.Core.Index.Internal Methods compare :: Sz ix -> Sz ix -> Ordering # (<) :: Sz ix -> Sz ix -> Bool # (<=) :: Sz ix -> Sz ix -> Bool # (>) :: Sz ix -> Sz ix -> Bool # (>=) :: Sz ix -> Sz ix -> Bool # max :: Sz ix -> Sz ix -> Sz ix # min :: Sz ix -> Sz ix -> Sz ix #
Index ix => Show (Sz ix) Source #
Instance details Defined in Data.Massiv.Core.Index.Internal Methods showsPrec :: Int -> Sz ix -> ShowS # show :: Sz ix -> String # showList :: [Sz ix] -> ShowS #
NFData ix => NFData (Sz ix) Source #
Instance details Defined in Data.Massiv.Core.Index.Internal Methods rnf :: Sz ix -> () #
(UniformRange ix, Index ix) => Random (Sz ix) Source #
Instance details Defined in Data.Massiv.Core.Index.Internal Methods randomR :: RandomGen g => (Sz ix, Sz ix) -> g -> (Sz ix, g) # random :: RandomGen g => g -> (Sz ix, g) # randomRs :: RandomGen g => (Sz ix, Sz ix) -> g -> [Sz ix] # randoms :: RandomGen g => g -> [Sz ix] #
(UniformRange ix, Index ix) => Uniform (Sz ix) Source #
Instance details Defined in Data.Massiv.Core.Index.Internal Methods uniformM :: StatefulGen g m => g -> m (Sz ix) #
UniformRange ix => UniformRange (Sz ix) Source #
Instance details Defined in Data.Massiv.Core.Index.Internal Methods uniformRM :: StatefulGen g m => (Sz ix, Sz ix) -> g -> m (Sz ix) #

unSz :: Sz ix -> ix Source #

Function for unwrapping Sz.

Example

Expand

>>> import Data.Massiv.Core.Index
>>> unSz $ Sz3 1 2 3
1 :> 2 :. 3

Since: 0.3.0

zeroSz :: Index ix => Sz ix Source #

An empty size with all elements in size equal to 0.

Example

Expand

>>> import Data.Massiv.Core.Index
>>> zeroSz :: Sz5
Sz (0 :> 0 :> 0 :> 0 :. 0)

Since: 0.3.0

oneSz :: Index ix => Sz ix Source #

A singleton size with all elements in size equal to 1.

Example

Expand

>>> import Data.Massiv.Core.Index
>>> oneSz :: Sz3
Sz (1 :> 1 :. 1)

Since: 0.3.0

liftSz :: Index ix => (Int -> Int) -> Sz ix -> Sz ix Source #

Same as liftIndex, but for Sz

Example

Expand

>>> import Data.Massiv.Core.Index
>>> liftSz succ (Sz2 2 3)
Sz (3 :. 4)

Since: 0.4.0

liftSz2 :: Index ix => (Int -> Int -> Int) -> Sz ix -> Sz ix -> Sz ix Source #

Same as liftIndex2, but for Sz

Example

Expand

>>> import Data.Massiv.Core.Index
>>> liftSz2 (-) (Sz2 2 3) (Sz2 3 1)
Sz (0 :. 2)

Since: 0.4.3

consSz :: Index ix => Sz Ix1 -> Sz (Lower ix) -> Sz ix Source #

Same as consDim, but for Sz

Example

Expand

>>> import Data.Massiv.Core.Index
>>> consSz (Sz1 1) (Sz2 2 3) :: Sz3
Sz (1 :> 2 :. 3)

Since: 0.3.0

unconsSz :: Index ix => Sz ix -> (Sz Ix1, Sz (Lower ix)) Source #

Same as unconsDim, but for Sz

Example

Expand

>>> import Data.Massiv.Core.Index
>>> unconsSz $ Sz3 1 2 3
(Sz1 1,Sz (2 :. 3))

Since: 0.3.0

snocSz :: Index ix => Sz (Lower ix) -> Sz Ix1 -> Sz ix Source #

Same as snocDim, but for Sz

Example

Expand

>>> import Data.Massiv.Core.Index
>>> snocSz (Sz2 2 3) (Sz1 1) :: Sz3
Sz (2 :> 3 :. 1)

Since: 0.3.0

unsnocSz :: Index ix => Sz ix -> (Sz (Lower ix), Sz Ix1) Source #

Same as unsnocDim, but for Sz

Example

Expand

>>> import Data.Massiv.Core.Index
>>> unsnocSz $ Sz3 1 2 3
(Sz (1 :. 2),Sz1 3)

Since: 0.3.0

setSzM :: (MonadThrow m, Index ix) => Sz ix -> Dim -> Sz Int -> m (Sz ix) Source #

Same as setDimM, but for Sz

Example

Expand

>>> import Data.Massiv.Core.Index
>>> setSzM (Sz2 2 3) 2 (Sz1 1) :: IO Sz2
Sz (1 :. 3)
>>> setSzM (Sz2 2 3) 3 (Sz1 1) :: IO Sz2
*** Exception: IndexDimensionException: (Dim 3) for (2 :. 3)

Since: 0.3.0

insertSzM :: (MonadThrow m, Index ix) => Sz (Lower ix) -> Dim -> Sz Int -> m (Sz ix) Source #

Same as insertDimM, but for Sz

Example

Expand

>>> import Data.Massiv.Core.Index
>>> insertSzM (Sz2 2 3) 3 (Sz1 1) :: IO Sz3
Sz (1 :> 2 :. 3)
>>> insertSzM (Sz2 2 3) 4 (Sz1 1) :: IO Sz3
*** Exception: IndexDimensionException: (Dim 4) for (2 :. 3)

Since: 0.3.0

pullOutSzM :: (MonadThrow m, Index ix) => Sz ix -> Dim -> m (Sz Ix1, Sz (Lower ix)) Source #

Same as pullOutDim, but for Sz

>>> import Data.Massiv.Core.Index
>>> pullOutSzM (Sz3 1 2 3) 3
(Sz1 1,Sz (2 :. 3))
>>> pullOutSzM (Sz3 1 2 3) 0
*** Exception: IndexDimensionException: (Dim 0) for (1 :> 2 :. 3)

Since: 0.3.0

toLinearSz :: Index ix => Sz ix -> Sz1 Source #

Convert a size to a linear size.

Since: 0.5.8

mkSzM :: (Index ix, MonadThrow m) => ix -> m (Sz ix) Source #

Construct size from index while checking its correctness. Throws SizeNegativeException and SizeOverflowException.

Since: 0.6.0

Dimension

newtype Dim Source #

A way to select Array dimension at a value level.

Since: 0.1.0

Constructors

Dim
Fields unDim :: Int

Instances

Instances details

Enum Dim Source #
Instance details Defined in Data.Massiv.Core.Index.Internal Methods succ :: Dim -> Dim # pred :: Dim -> Dim # toEnum :: Int -> Dim # fromEnum :: Dim -> Int # enumFrom :: Dim -> [Dim] # enumFromThen :: Dim -> Dim -> [Dim] # enumFromTo :: Dim -> Dim -> [Dim] # enumFromThenTo :: Dim -> Dim -> Dim -> [Dim] #
Eq Dim Source #
Instance details Defined in Data.Massiv.Core.Index.Internal Methods (==) :: Dim -> Dim -> Bool # (/=) :: Dim -> Dim -> Bool #
Integral Dim Source #
Instance details Defined in Data.Massiv.Core.Index.Internal Methods quot :: Dim -> Dim -> Dim # rem :: Dim -> Dim -> Dim # div :: Dim -> Dim -> Dim # mod :: Dim -> Dim -> Dim # quotRem :: Dim -> Dim -> (Dim, Dim) # divMod :: Dim -> Dim -> (Dim, Dim) # toInteger :: Dim -> Integer #
Num Dim Source #
Instance details Defined in Data.Massiv.Core.Index.Internal Methods (+) :: Dim -> Dim -> Dim # (-) :: Dim -> Dim -> Dim # (*) :: Dim -> Dim -> Dim # negate :: Dim -> Dim # abs :: Dim -> Dim # signum :: Dim -> Dim # fromInteger :: Integer -> Dim #
Ord Dim Source #
Instance details Defined in Data.Massiv.Core.Index.Internal Methods compare :: Dim -> Dim -> Ordering # (<) :: Dim -> Dim -> Bool # (<=) :: Dim -> Dim -> Bool # (>) :: Dim -> Dim -> Bool # (>=) :: Dim -> Dim -> Bool # max :: Dim -> Dim -> Dim # min :: Dim -> Dim -> Dim #
Real Dim Source #
Instance details Defined in Data.Massiv.Core.Index.Internal Methods toRational :: Dim -> Rational #
Show Dim Source #
Instance details Defined in Data.Massiv.Core.Index.Internal Methods showsPrec :: Int -> Dim -> ShowS # show :: Dim -> String # showList :: [Dim] -> ShowS #
NFData Dim Source #
Instance details Defined in Data.Massiv.Core.Index.Internal Methods rnf :: Dim -> () #
Random Dim Source #
Instance details Defined in Data.Massiv.Core.Index.Internal Methods randomR :: RandomGen g => (Dim, Dim) -> g -> (Dim, g) # random :: RandomGen g => g -> (Dim, g) # randomRs :: RandomGen g => (Dim, Dim) -> g -> [Dim] # randoms :: RandomGen g => g -> [Dim] #
Uniform Dim Source #
Instance details Defined in Data.Massiv.Core.Index.Internal Methods uniformM :: StatefulGen g m => g -> m Dim #
UniformRange Dim Source #
Instance details Defined in Data.Massiv.Core.Index.Internal Methods uniformRM :: StatefulGen g m => (Dim, Dim) -> g -> m Dim #

data Dimension (n :: Nat) where Source #

A way to select Array dimension at a type level.

Since: 0.2.4

Constructors

DimN :: (1 <= n, KnownNat n) => Dimension n

Bundled Patterns

pattern Dim1 :: Dimension 1	Construct 1st dimension Since: 0.2.4
pattern Dim2 :: Dimension 2	Construct 2nd dimension Since: 0.2.4
pattern Dim3 :: Dimension 3	Construct 3rd dimension Since: 0.2.4
pattern Dim4 :: Dimension 4	Construct 4th dimension Since: 0.2.4
pattern Dim5 :: Dimension 5	Construct 5th dimension Since: 0.2.4

type IsIndexDimension ix n = (1 <= n, n <= Dimensions ix, Index ix, KnownNat n) Source #

A type level constraint that ensures index is indeed valid and that supplied dimension can be safely used with it.

Since: 0.2.4

type family IsDimValid ix n :: Bool where ... Source #

Equations

IsDimValid ix n = ReportInvalidDim (Dimensions ix) n (1 <=? n) (n <=? Dimensions ix)

type family ReportInvalidDim (dims :: Nat) (n :: Nat) isNotZero isLess :: Bool where ... Source #

Equations

ReportInvalidDim dims n True True = True
ReportInvalidDim dims n True False = TypeError ((((Text "Dimension " :<>: ShowType n) :<>: Text " is higher than ") :<>: Text "the maximum expected ") :<>: ShowType dims)
ReportInvalidDim dims n False isLess = TypeError (Text "Zero dimensional indices are not supported")

Stride

data Stride ix where Source #

Stride provides a way to ignore elements of an array if an index is divisible by a corresponding value in a stride. So, for a Stride (i :. j) only elements with indices will be kept around:

( 0 :. 0) ( 0 :. j) ( 0 :. 2j) ( 0 :. 3j) ...
( i :. 0) ( i :. j) ( i :. 2j) ( i :. 3j) ...
(2i :. 0) (2i :. j) (2i :. 2j) (2i :. 3j) ...
...

Only positive strides make sense, so Stride pattern synonym constructor will prevent a user from creating a stride with negative or zero values, thus promoting safety of the library.

Examples:

Expand

Default and minimal stride of Stride (pureIndex 1) will have no affect and all elements will kept.
If stride is Stride 2, then every 2nd element (i.e. with index 1, 3, 5, ..) will be skipped and only elemnts with indices divisible by 2 will be kept around.
In case of two dimensions, if what you want is to keep all rows divisible by 5, but keep every column intact then you'd use Stride (5 :. 1).

Since: 0.2.1

Bundled Patterns

pattern Stride :: Index ix => ix -> Stride ix

A safe bidirectional pattern synonym for Stride construction that will make sure stride elements are always positive.

Since: 0.2.1

Instances

Instances details

Eq ix => Eq (Stride ix) Source #
Instance details Defined in Data.Massiv.Core.Index.Stride Methods (==) :: Stride ix -> Stride ix -> Bool # (/=) :: Stride ix -> Stride ix -> Bool #
Ord ix => Ord (Stride ix) Source #
Instance details Defined in Data.Massiv.Core.Index.Stride Methods compare :: Stride ix -> Stride ix -> Ordering # (<) :: Stride ix -> Stride ix -> Bool # (<=) :: Stride ix -> Stride ix -> Bool # (>) :: Stride ix -> Stride ix -> Bool # (>=) :: Stride ix -> Stride ix -> Bool # max :: Stride ix -> Stride ix -> Stride ix # min :: Stride ix -> Stride ix -> Stride ix #
Index ix => Show (Stride ix) Source #
Instance details Defined in Data.Massiv.Core.Index.Stride Methods showsPrec :: Int -> Stride ix -> ShowS # show :: Stride ix -> String # showList :: [Stride ix] -> ShowS #
NFData ix => NFData (Stride ix) Source #
Instance details Defined in Data.Massiv.Core.Index.Stride Methods rnf :: Stride ix -> () #
(UniformRange ix, Index ix) => Random (Stride ix) Source #
Instance details Defined in Data.Massiv.Core.Index.Stride Methods randomR :: RandomGen g => (Stride ix, Stride ix) -> g -> (Stride ix, g) # random :: RandomGen g => g -> (Stride ix, g) # randomRs :: RandomGen g => (Stride ix, Stride ix) -> g -> [Stride ix] # randoms :: RandomGen g => g -> [Stride ix] #
(UniformRange ix, Index ix) => Uniform (Stride ix) Source #
Instance details Defined in Data.Massiv.Core.Index.Stride Methods uniformM :: StatefulGen g m => g -> m (Stride ix) #
UniformRange ix => UniformRange (Stride ix) Source #
Instance details Defined in Data.Massiv.Core.Index.Stride Methods uniformRM :: StatefulGen g m => (Stride ix, Stride ix) -> g -> m (Stride ix) #

unStride :: Stride ix -> ix Source #

Just a helper function for unwrapping Stride.

Since: 0.2.1

toLinearIndexStride Source #

Arguments

:: Index ix
=> Stride ix	Stride
-> Sz ix	Size
-> ix	Index
-> Int

Compute linear index with stride using the original size and index

Since: 0.2.1

strideStart :: Index ix => Stride ix -> ix -> ix Source #

Adjust starting index according to the stride

Since: 0.2.1

strideSize :: Index ix => Stride ix -> Sz ix -> Sz ix Source #

Adjust size according to the stride.

Since: 0.2.1

oneStride :: Index ix => Stride ix Source #

A default stride of 1, where all elements are kept

Since: 0.2.1

Border

data Border e Source #

Approach to be used near the borders during various transformations. Whenever a function needs information not only about an element of interest, but also about it's neighbors, it will go out of bounds near the array edges, hence is this set of approaches that specify how to handle such situation.

Constructors

Fill e	Fill in a constant element. outside \| Array \| outside (`Fill` 0) : 0 0 0 0 \| 1 2 3 4 \| 0 0 0 0
Wrap	Wrap around from the opposite border of the array. outside \| Array \| outside `Wrap` : 1 2 3 4 \| 1 2 3 4 \| 1 2 3 4
Edge	Replicate the element at the edge. outside \| Array \| outside `Edge` : 1 1 1 1 \| 1 2 3 4 \| 4 4 4 4
Reflect	Mirror like reflection. outside \| Array \| outside `Reflect` : 4 3 2 1 \| 1 2 3 4 \| 4 3 2 1
Continue	Also mirror like reflection, but without repeating the edge element. outside \| Array \| outside `Continue` : 1 4 3 2 \| 1 2 3 4 \| 3 2 1 4

Instances

Instances details

Eq e => Eq (Border e) Source #
Instance details Defined in Data.Massiv.Core.Index Methods (==) :: Border e -> Border e -> Bool # (/=) :: Border e -> Border e -> Bool #
Show e => Show (Border e) Source #
Instance details Defined in Data.Massiv.Core.Index Methods showsPrec :: Int -> Border e -> ShowS # show :: Border e -> String # showList :: [Border e] -> ShowS #
NFData e => NFData (Border e) Source #
Instance details Defined in Data.Massiv.Core.Index Methods rnf :: Border e -> () #

handleBorderIndex Source #

Arguments

:: Index ix
=> Border e	Broder resolution technique
-> Sz ix	Size
-> (ix -> e)	Index function that produces an element
-> ix	Index
-> e

Apply a border resolution technique to an index

Examples

Expand

>>> handleBorderIndex (Fill 100) (Sz (2 :. 3)) id (2 :. 3)
100 :. 100
>>> handleBorderIndex Wrap (Sz (2 :. 3)) id (2 :. 3)
0 :. 0
>>> handleBorderIndex Edge (Sz (2 :. 3)) id (2 :. 3)
1 :. 2

Since: 0.1.0

Index functions

type family Lower ix :: Type Source #

This type family will always point to a type for a dimension that is one lower than the type argument.

Since: 0.1.0

Instances

Instances details

type Lower Int Source #
Instance details Defined in Data.Massiv.Core.Index.Internal type Lower Int = Ix0
type Lower Ix2 Source #
Instance details Defined in Data.Massiv.Core.Index.Ix type Lower Ix2 = Ix1
type Lower Ix5T Source #
Instance details Defined in Data.Massiv.Core.Index.Tuple type Lower Ix5T = Ix4T
type Lower Ix4T Source #
Instance details Defined in Data.Massiv.Core.Index.Tuple type Lower Ix4T = Ix3T
type Lower Ix3T Source #
Instance details Defined in Data.Massiv.Core.Index.Tuple type Lower Ix3T = Ix2T
type Lower Ix2T Source #
Instance details Defined in Data.Massiv.Core.Index.Tuple type Lower Ix2T = Ix1T
type Lower (IxN n) Source #
Instance details Defined in Data.Massiv.Core.Index.Ix type Lower (IxN n) = Ix (n - 1)

class (Eq ix, Ord ix, Show ix, NFData ix, Typeable ix, Eq (Lower ix), Ord (Lower ix), Show (Lower ix), NFData (Lower ix), KnownNat (Dimensions ix)) => Index ix where Source #

This is bread and butter of multi-dimensional array indexing. It is unlikely that any of the functions in this class will be useful to a regular user, unless general algorithms are being implemented that do span multiple dimensions.

Minimal complete definition

dimensions, totalElem, consDim, unconsDim, snocDim, unsnocDim, pullOutDimM, insertDimM, pureIndex, liftIndex2

Associated Types

type Dimensions ix :: Nat Source #

Type level information on how many dimensions this index has.

Since: 0.2.0

Methods

dimensions :: proxy ix -> Dim Source #

What is the dimensionality of this index.

Since: 0.2.0

totalElem :: Sz ix -> Int Source #

Total number of elements in an array of this size.

Since: 0.1.0

consDim :: Int -> Lower ix -> ix Source #

Prepend a dimension to the index

Since: 0.1.0

unconsDim :: ix -> (Int, Lower ix) Source #

Take a dimension from the index from the outside

Since: 0.1.0

snocDim :: Lower ix -> Int -> ix Source #

Apppend a dimension to the index

Since: 0.1.0

unsnocDim :: ix -> (Lower ix, Int) Source #

Take a dimension from the index from the inside

Since: 0.1.0

pullOutDimM :: MonadThrow m => ix -> Dim -> m (Int, Lower ix) Source #

Pull out value at specified dimension from the index, thus also lowering it dimensionality.

Since: 0.2.5

insertDimM :: MonadThrow m => Lower ix -> Dim -> Int -> m ix Source #

Insert a dimension into the index

getDimM :: MonadThrow m => ix -> Dim -> m Int Source #

Extract the value index has at specified dimension.

Since: 0.3.0

setDimM :: MonadThrow m => ix -> Dim -> Int -> m ix Source #

Set the value for an index at specified dimension.

Since: 0.3.0

modifyDimM :: MonadThrow m => ix -> Dim -> (Int -> Int) -> m (Int, ix) Source #

Update the value for an index at specified dimension and return the old value as well as the updated index.

Since: 0.4.1

pureIndex :: Int -> ix Source #

Lift an Int to any index by replicating the value as many times as there are dimensions.

Since: 0.1.0

liftIndex2 :: (Int -> Int -> Int) -> ix -> ix -> ix Source #

Zip together two indices with a function

Since: 0.1.0

liftIndex :: (Int -> Int) -> ix -> ix Source #

Map a function over an index

Since: 0.1.0

foldlIndex :: (a -> Int -> a) -> a -> ix -> a Source #

Perform a left fold over the index

default foldlIndex :: Index (Lower ix) => (a -> Int -> a) -> a -> ix -> a Source #

isSafeIndex Source #

Arguments

:: Sz ix	Size
-> ix	Index
-> Bool

Check whether index is positive and is within the size.

Since: 0.1.0

default isSafeIndex :: Index (Lower ix) => Sz ix -> ix -> Bool Source #

toLinearIndex Source #

Arguments

:: Sz ix	Size
-> ix	Index
-> Ix1

Convert linear index from size and index

Since: 0.1.0

default toLinearIndex :: Index (Lower ix) => Sz ix -> ix -> Ix1 Source #

toLinearIndexAcc :: Ix1 -> ix -> ix -> Ix1 Source #

Convert linear index from size and index with an accumulator. Currently is useless and will likely be removed in future versions.

Since: 0.1.0

default toLinearIndexAcc :: Index (Lower ix) => Ix1 -> ix -> ix -> Ix1 Source #

fromLinearIndex :: Sz ix -> Ix1 -> ix Source #

Compute an index from size and linear index

Since: 0.1.0

default fromLinearIndex :: Index (Lower ix) => Sz ix -> Ix1 -> ix Source #

fromLinearIndexAcc :: ix -> Ix1 -> (Int, ix) Source #

Compute an index from size and linear index using an accumulator, thus trying to optimize for tail recursion while getting the index computed.

Since: 0.1.0

default fromLinearIndexAcc :: Index (Lower ix) => ix -> Ix1 -> (Ix1, ix) Source #

repairIndex Source #

Arguments

:: Sz ix	Size
-> ix	Index
-> (Sz Int -> Int -> Int)	Repair when below zero
-> (Sz Int -> Int -> Int)	Repair when higher than size
-> ix

A way to make sure index is withing the bounds for the supplied size. Takes two functions that will be invoked whenever index (2nd arg) is outsize the supplied size (1st arg)

Since: 0.1.0

default repairIndex :: Index (Lower ix) => Sz ix -> ix -> (Sz Int -> Int -> Int) -> (Sz Int -> Int -> Int) -> ix Source #

iterM Source #

Arguments

:: Monad m
=> ix	Start index
-> ix	End index
-> ix	Increment
-> (Int -> Int -> Bool)	Continue iterating while predicate is True (eg. until end of row)
-> a	Initial value for an accumulator
-> (ix -> a -> m a)	Accumulator function
-> m a

This function is what makes it possible to iterate over an array of any dimension.

Since: 0.1.0

default iterM :: (Index (Lower ix), Monad m) => ix -> ix -> ix -> (Int -> Int -> Bool) -> a -> (ix -> a -> m a) -> m a Source #

iterRowMajorST Source #

Arguments

:: Int	Scheduler multiplying factor. Must be positive
-> Scheduler s a	Scheduler to use
-> ix	Start index
-> ix	Stride
-> Sz ix	Size
-> a	Initial accumulator
-> (a -> ST s (a, a))	Function that splits accumulator for each scheduled job.
-> (ix -> a -> ST s a)	Action
-> ST s a

default iterRowMajorST :: Index (Lower ix) => Int -> Scheduler s a -> ix -> ix -> Sz ix -> a -> (a -> ST s (a, a)) -> (ix -> a -> ST s a) -> ST s a Source #

iterF :: ix -> ix -> ix -> (Int -> Int -> Bool) -> f a -> (ix -> f a -> f a) -> f a Source #

Similar to iterM, but no restriction on a Monad.

Since: 1.0.2

default iterF :: Index (Lower ix) => ix -> ix -> ix -> (Int -> Int -> Bool) -> f a -> (ix -> f a -> f a) -> f a Source #

stepNextMF :: ix -> ix -> ix -> (Int -> Int -> Bool) -> (Maybe ix -> f a) -> f a Source #

A single step in iteration

Since: 0.1.0

default stepNextMF :: Index (Lower ix) => ix -> ix -> ix -> (Int -> Int -> Bool) -> (Maybe ix -> f a) -> f a Source #

iterTargetRowMajorA_ Source #

Arguments

:: Applicative f
=> Int	Target linear index accumulator
-> Int	Target linear index start
-> Sz ix	Target size
-> ix	Source start index
-> ix	Source stride
-> (Ix1 -> ix -> f a)	Action that accepts a linear index of the target, multi-dimensional index of the source and accumulator
-> f ()

default iterTargetRowMajorA_ :: (Applicative f, Index (Lower ix)) => Int -> Int -> Sz ix -> ix -> ix -> (Ix1 -> ix -> f a) -> f () Source #

iterTargetRowMajorAccM Source #

Arguments

:: Monad m
=> Int	Target linear index accumulator
-> Int	Target linear index start
-> Sz ix	Target size
-> ix	Source start index
-> ix	Source stride
-> a	Accumulator
-> (Ix1 -> ix -> a -> m a)	Action that accepts a linear index of the target, multi-dimensional index of the source and accumulator
-> m a

default iterTargetRowMajorAccM :: (Monad m, Index (Lower ix)) => Int -> Int -> Sz ix -> ix -> ix -> a -> (Ix1 -> ix -> a -> m a) -> m a Source #

iterTargetRowMajorAccST Source #

Arguments

:: Int	Linear index accumulator
-> Int	Scheduler multiplying factor. Must be positive
-> Scheduler s a	Scheduler to use
-> Int	Target linear index start
-> Sz ix	Target size
-> ix	Source start index
-> ix	Source stride
-> a	Initial accumulator
-> (a -> ST s (a, a))	Function that splits accumulator for each scheduled job.
-> (Ix1 -> ix -> a -> ST s a)	Action
-> ST s a

default iterTargetRowMajorAccST :: Index (Lower ix) => Int -> Int -> Scheduler s a -> Int -> Sz ix -> ix -> ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s a Source #

iterTargetRowMajorAccST_ Source #

Arguments

:: Int	Index accumulator
-> Int	Scheduler multiplying factor. Must be positive
-> Scheduler s ()	Scheduler to use
-> Int	Target linear start index
-> Sz ix	Target size
-> ix	Source start index
-> ix	Source stride
-> a	Initial accumulator
-> (a -> ST s (a, a))	Function that splits accumulator for each scheduled job.
-> (Ix1 -> ix -> a -> ST s a)	Action
-> ST s ()

default iterTargetRowMajorAccST_ :: Index (Lower ix) => Int -> Int -> Scheduler s () -> Int -> Sz ix -> ix -> ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s () Source #

Instances

Instances details

Index Ix1 Source #
Instance details Defined in Data.Massiv.Core.Index.Internal Associated Types type Dimensions Ix1 :: Nat Source # Methods dimensions :: proxy Ix1 -> Dim Source # totalElem :: Sz Ix1 -> Int Source # consDim :: Int -> Lower Ix1 -> Ix1 Source # unconsDim :: Ix1 -> (Int, Lower Ix1) Source # snocDim :: Lower Ix1 -> Int -> Ix1 Source # unsnocDim :: Ix1 -> (Lower Ix1, Int) Source # pullOutDimM :: MonadThrow m => Ix1 -> Dim -> m (Int, Lower Ix1) Source # insertDimM :: MonadThrow m => Lower Ix1 -> Dim -> Int -> m Ix1 Source # getDimM :: MonadThrow m => Ix1 -> Dim -> m Int Source # setDimM :: MonadThrow m => Ix1 -> Dim -> Int -> m Ix1 Source # modifyDimM :: MonadThrow m => Ix1 -> Dim -> (Int -> Int) -> m (Int, Ix1) Source # pureIndex :: Int -> Ix1 Source # liftIndex2 :: (Int -> Int -> Int) -> Ix1 -> Ix1 -> Ix1 Source # liftIndex :: (Int -> Int) -> Ix1 -> Ix1 Source # foldlIndex :: (a -> Int -> a) -> a -> Ix1 -> a Source # isSafeIndex :: Sz Ix1 -> Ix1 -> Bool Source # toLinearIndex :: Sz Ix1 -> Ix1 -> Ix1 Source # toLinearIndexAcc :: Ix1 -> Ix1 -> Ix1 -> Ix1 Source # fromLinearIndex :: Sz Ix1 -> Ix1 -> Ix1 Source # fromLinearIndexAcc :: Ix1 -> Ix1 -> (Int, Ix1) Source # repairIndex :: Sz Ix1 -> Ix1 -> (Sz Int -> Int -> Int) -> (Sz Int -> Int -> Int) -> Ix1 Source # iterM :: Monad m => Ix1 -> Ix1 -> Ix1 -> (Int -> Int -> Bool) -> a -> (Ix1 -> a -> m a) -> m a Source # iterRowMajorST :: Int -> Scheduler s a -> Ix1 -> Ix1 -> Sz Ix1 -> a -> (a -> ST s (a, a)) -> (Ix1 -> a -> ST s a) -> ST s a Source # iterF :: Ix1 -> Ix1 -> Ix1 -> (Int -> Int -> Bool) -> f a -> (Ix1 -> f a -> f a) -> f a Source # stepNextMF :: Ix1 -> Ix1 -> Ix1 -> (Int -> Int -> Bool) -> (Maybe Ix1 -> f a) -> f a Source # iterTargetRowMajorA_ :: Applicative f => Int -> Int -> Sz Ix1 -> Ix1 -> Ix1 -> (Ix1 -> Ix1 -> f a) -> f () Source # iterTargetRowMajorAccM :: Monad m => Int -> Int -> Sz Ix1 -> Ix1 -> Ix1 -> a -> (Ix1 -> Ix1 -> a -> m a) -> m a Source # iterTargetRowMajorAccST :: Int -> Int -> Scheduler s a -> Int -> Sz Ix1 -> Ix1 -> Ix1 -> a -> (a -> ST s (a, a)) -> (Ix1 -> Ix1 -> a -> ST s a) -> ST s a Source # iterTargetRowMajorAccST_ :: Int -> Int -> Scheduler s () -> Int -> Sz Ix1 -> Ix1 -> Ix1 -> a -> (a -> ST s (a, a)) -> (Ix1 -> Ix1 -> a -> ST s a) -> ST s () Source #
Index Ix2 Source #
Instance details Defined in Data.Massiv.Core.Index.Ix Associated Types type Dimensions Ix2 :: Nat Source # Methods dimensions :: proxy Ix2 -> Dim Source # totalElem :: Sz Ix2 -> Int Source # consDim :: Int -> Lower Ix2 -> Ix2 Source # unconsDim :: Ix2 -> (Int, Lower Ix2) Source # snocDim :: Lower Ix2 -> Int -> Ix2 Source # unsnocDim :: Ix2 -> (Lower Ix2, Int) Source # pullOutDimM :: MonadThrow m => Ix2 -> Dim -> m (Int, Lower Ix2) Source # insertDimM :: MonadThrow m => Lower Ix2 -> Dim -> Int -> m Ix2 Source # getDimM :: MonadThrow m => Ix2 -> Dim -> m Int Source # setDimM :: MonadThrow m => Ix2 -> Dim -> Int -> m Ix2 Source # modifyDimM :: MonadThrow m => Ix2 -> Dim -> (Int -> Int) -> m (Int, Ix2) Source # pureIndex :: Int -> Ix2 Source # liftIndex2 :: (Int -> Int -> Int) -> Ix2 -> Ix2 -> Ix2 Source # liftIndex :: (Int -> Int) -> Ix2 -> Ix2 Source # foldlIndex :: (a -> Int -> a) -> a -> Ix2 -> a Source # isSafeIndex :: Sz Ix2 -> Ix2 -> Bool Source # toLinearIndex :: Sz Ix2 -> Ix2 -> Ix1 Source # toLinearIndexAcc :: Ix1 -> Ix2 -> Ix2 -> Ix1 Source # fromLinearIndex :: Sz Ix2 -> Ix1 -> Ix2 Source # fromLinearIndexAcc :: Ix2 -> Ix1 -> (Int, Ix2) Source # repairIndex :: Sz Ix2 -> Ix2 -> (Sz Int -> Int -> Int) -> (Sz Int -> Int -> Int) -> Ix2 Source # iterM :: Monad m => Ix2 -> Ix2 -> Ix2 -> (Int -> Int -> Bool) -> a -> (Ix2 -> a -> m a) -> m a Source # iterRowMajorST :: Int -> Scheduler s a -> Ix2 -> Ix2 -> Sz Ix2 -> a -> (a -> ST s (a, a)) -> (Ix2 -> a -> ST s a) -> ST s a Source # iterF :: Ix2 -> Ix2 -> Ix2 -> (Int -> Int -> Bool) -> f a -> (Ix2 -> f a -> f a) -> f a Source # stepNextMF :: Ix2 -> Ix2 -> Ix2 -> (Int -> Int -> Bool) -> (Maybe Ix2 -> f a) -> f a Source # iterTargetRowMajorA_ :: Applicative f => Int -> Int -> Sz Ix2 -> Ix2 -> Ix2 -> (Ix1 -> Ix2 -> f a) -> f () Source # iterTargetRowMajorAccM :: Monad m => Int -> Int -> Sz Ix2 -> Ix2 -> Ix2 -> a -> (Ix1 -> Ix2 -> a -> m a) -> m a Source # iterTargetRowMajorAccST :: Int -> Int -> Scheduler s a -> Int -> Sz Ix2 -> Ix2 -> Ix2 -> a -> (a -> ST s (a, a)) -> (Ix1 -> Ix2 -> a -> ST s a) -> ST s a Source # iterTargetRowMajorAccST_ :: Int -> Int -> Scheduler s () -> Int -> Sz Ix2 -> Ix2 -> Ix2 -> a -> (a -> ST s (a, a)) -> (Ix1 -> Ix2 -> a -> ST s a) -> ST s () Source #
Index Ix5T Source #
Instance details Defined in Data.Massiv.Core.Index.Tuple Associated Types type Dimensions Ix5T :: Nat Source # Methods dimensions :: proxy Ix5T -> Dim Source # totalElem :: Sz Ix5T -> Int Source # consDim :: Int -> Lower Ix5T -> Ix5T Source # unconsDim :: Ix5T -> (Int, Lower Ix5T) Source # snocDim :: Lower Ix5T -> Int -> Ix5T Source # unsnocDim :: Ix5T -> (Lower Ix5T, Int) Source # pullOutDimM :: MonadThrow m => Ix5T -> Dim -> m (Int, Lower Ix5T) Source # insertDimM :: MonadThrow m => Lower Ix5T -> Dim -> Int -> m Ix5T Source # getDimM :: MonadThrow m => Ix5T -> Dim -> m Int Source # setDimM :: MonadThrow m => Ix5T -> Dim -> Int -> m Ix5T Source # modifyDimM :: MonadThrow m => Ix5T -> Dim -> (Int -> Int) -> m (Int, Ix5T) Source # pureIndex :: Int -> Ix5T Source # liftIndex2 :: (Int -> Int -> Int) -> Ix5T -> Ix5T -> Ix5T Source # liftIndex :: (Int -> Int) -> Ix5T -> Ix5T Source # foldlIndex :: (a -> Int -> a) -> a -> Ix5T -> a Source # isSafeIndex :: Sz Ix5T -> Ix5T -> Bool Source # toLinearIndex :: Sz Ix5T -> Ix5T -> Ix1 Source # toLinearIndexAcc :: Ix1 -> Ix5T -> Ix5T -> Ix1 Source # fromLinearIndex :: Sz Ix5T -> Ix1 -> Ix5T Source # fromLinearIndexAcc :: Ix5T -> Ix1 -> (Int, Ix5T) Source # repairIndex :: Sz Ix5T -> Ix5T -> (Sz Int -> Int -> Int) -> (Sz Int -> Int -> Int) -> Ix5T Source # iterM :: Monad m => Ix5T -> Ix5T -> Ix5T -> (Int -> Int -> Bool) -> a -> (Ix5T -> a -> m a) -> m a Source # iterRowMajorST :: Int -> Scheduler s a -> Ix5T -> Ix5T -> Sz Ix5T -> a -> (a -> ST s (a, a)) -> (Ix5T -> a -> ST s a) -> ST s a Source # iterF :: Ix5T -> Ix5T -> Ix5T -> (Int -> Int -> Bool) -> f a -> (Ix5T -> f a -> f a) -> f a Source # stepNextMF :: Ix5T -> Ix5T -> Ix5T -> (Int -> Int -> Bool) -> (Maybe Ix5T -> f a) -> f a Source # iterTargetRowMajorA_ :: Applicative f => Int -> Int -> Sz Ix5T -> Ix5T -> Ix5T -> (Ix1 -> Ix5T -> f a) -> f () Source # iterTargetRowMajorAccM :: Monad m => Int -> Int -> Sz Ix5T -> Ix5T -> Ix5T -> a -> (Ix1 -> Ix5T -> a -> m a) -> m a Source # iterTargetRowMajorAccST :: Int -> Int -> Scheduler s a -> Int -> Sz Ix5T -> Ix5T -> Ix5T -> a -> (a -> ST s (a, a)) -> (Ix1 -> Ix5T -> a -> ST s a) -> ST s a Source # iterTargetRowMajorAccST_ :: Int -> Int -> Scheduler s () -> Int -> Sz Ix5T -> Ix5T -> Ix5T -> a -> (a -> ST s (a, a)) -> (Ix1 -> Ix5T -> a -> ST s a) -> ST s () Source #
Index Ix4T Source #
Instance details Defined in Data.Massiv.Core.Index.Tuple Associated Types type Dimensions Ix4T :: Nat Source # Methods dimensions :: proxy Ix4T -> Dim Source # totalElem :: Sz Ix4T -> Int Source # consDim :: Int -> Lower Ix4T -> Ix4T Source # unconsDim :: Ix4T -> (Int, Lower Ix4T) Source # snocDim :: Lower Ix4T -> Int -> Ix4T Source # unsnocDim :: Ix4T -> (Lower Ix4T, Int) Source # pullOutDimM :: MonadThrow m => Ix4T -> Dim -> m (Int, Lower Ix4T) Source # insertDimM :: MonadThrow m => Lower Ix4T -> Dim -> Int -> m Ix4T Source # getDimM :: MonadThrow m => Ix4T -> Dim -> m Int Source # setDimM :: MonadThrow m => Ix4T -> Dim -> Int -> m Ix4T Source # modifyDimM :: MonadThrow m => Ix4T -> Dim -> (Int -> Int) -> m (Int, Ix4T) Source # pureIndex :: Int -> Ix4T Source # liftIndex2 :: (Int -> Int -> Int) -> Ix4T -> Ix4T -> Ix4T Source # liftIndex :: (Int -> Int) -> Ix4T -> Ix4T Source # foldlIndex :: (a -> Int -> a) -> a -> Ix4T -> a Source # isSafeIndex :: Sz Ix4T -> Ix4T -> Bool Source # toLinearIndex :: Sz Ix4T -> Ix4T -> Ix1 Source # toLinearIndexAcc :: Ix1 -> Ix4T -> Ix4T -> Ix1 Source # fromLinearIndex :: Sz Ix4T -> Ix1 -> Ix4T Source # fromLinearIndexAcc :: Ix4T -> Ix1 -> (Int, Ix4T) Source # repairIndex :: Sz Ix4T -> Ix4T -> (Sz Int -> Int -> Int) -> (Sz Int -> Int -> Int) -> Ix4T Source # iterM :: Monad m => Ix4T -> Ix4T -> Ix4T -> (Int -> Int -> Bool) -> a -> (Ix4T -> a -> m a) -> m a Source # iterRowMajorST :: Int -> Scheduler s a -> Ix4T -> Ix4T -> Sz Ix4T -> a -> (a -> ST s (a, a)) -> (Ix4T -> a -> ST s a) -> ST s a Source # iterF :: Ix4T -> Ix4T -> Ix4T -> (Int -> Int -> Bool) -> f a -> (Ix4T -> f a -> f a) -> f a Source # stepNextMF :: Ix4T -> Ix4T -> Ix4T -> (Int -> Int -> Bool) -> (Maybe Ix4T -> f a) -> f a Source # iterTargetRowMajorA_ :: Applicative f => Int -> Int -> Sz Ix4T -> Ix4T -> Ix4T -> (Ix1 -> Ix4T -> f a) -> f () Source # iterTargetRowMajorAccM :: Monad m => Int -> Int -> Sz Ix4T -> Ix4T -> Ix4T -> a -> (Ix1 -> Ix4T -> a -> m a) -> m a Source # iterTargetRowMajorAccST :: Int -> Int -> Scheduler s a -> Int -> Sz Ix4T -> Ix4T -> Ix4T -> a -> (a -> ST s (a, a)) -> (Ix1 -> Ix4T -> a -> ST s a) -> ST s a Source # iterTargetRowMajorAccST_ :: Int -> Int -> Scheduler s () -> Int -> Sz Ix4T -> Ix4T -> Ix4T -> a -> (a -> ST s (a, a)) -> (Ix1 -> Ix4T -> a -> ST s a) -> ST s () Source #
Index Ix3T Source #	Since: 0.1.0
Instance details Defined in Data.Massiv.Core.Index.Tuple Associated Types type Dimensions Ix3T :: Nat Source # Methods dimensions :: proxy Ix3T -> Dim Source # totalElem :: Sz Ix3T -> Int Source # consDim :: Int -> Lower Ix3T -> Ix3T Source # unconsDim :: Ix3T -> (Int, Lower Ix3T) Source # snocDim :: Lower Ix3T -> Int -> Ix3T Source # unsnocDim :: Ix3T -> (Lower Ix3T, Int) Source # pullOutDimM :: MonadThrow m => Ix3T -> Dim -> m (Int, Lower Ix3T) Source # insertDimM :: MonadThrow m => Lower Ix3T -> Dim -> Int -> m Ix3T Source # getDimM :: MonadThrow m => Ix3T -> Dim -> m Int Source # setDimM :: MonadThrow m => Ix3T -> Dim -> Int -> m Ix3T Source # modifyDimM :: MonadThrow m => Ix3T -> Dim -> (Int -> Int) -> m (Int, Ix3T) Source # pureIndex :: Int -> Ix3T Source # liftIndex2 :: (Int -> Int -> Int) -> Ix3T -> Ix3T -> Ix3T Source # liftIndex :: (Int -> Int) -> Ix3T -> Ix3T Source # foldlIndex :: (a -> Int -> a) -> a -> Ix3T -> a Source # isSafeIndex :: Sz Ix3T -> Ix3T -> Bool Source # toLinearIndex :: Sz Ix3T -> Ix3T -> Ix1 Source # toLinearIndexAcc :: Ix1 -> Ix3T -> Ix3T -> Ix1 Source # fromLinearIndex :: Sz Ix3T -> Ix1 -> Ix3T Source # fromLinearIndexAcc :: Ix3T -> Ix1 -> (Int, Ix3T) Source # repairIndex :: Sz Ix3T -> Ix3T -> (Sz Int -> Int -> Int) -> (Sz Int -> Int -> Int) -> Ix3T Source # iterM :: Monad m => Ix3T -> Ix3T -> Ix3T -> (Int -> Int -> Bool) -> a -> (Ix3T -> a -> m a) -> m a Source # iterRowMajorST :: Int -> Scheduler s a -> Ix3T -> Ix3T -> Sz Ix3T -> a -> (a -> ST s (a, a)) -> (Ix3T -> a -> ST s a) -> ST s a Source # iterF :: Ix3T -> Ix3T -> Ix3T -> (Int -> Int -> Bool) -> f a -> (Ix3T -> f a -> f a) -> f a Source # stepNextMF :: Ix3T -> Ix3T -> Ix3T -> (Int -> Int -> Bool) -> (Maybe Ix3T -> f a) -> f a Source # iterTargetRowMajorA_ :: Applicative f => Int -> Int -> Sz Ix3T -> Ix3T -> Ix3T -> (Ix1 -> Ix3T -> f a) -> f () Source # iterTargetRowMajorAccM :: Monad m => Int -> Int -> Sz Ix3T -> Ix3T -> Ix3T -> a -> (Ix1 -> Ix3T -> a -> m a) -> m a Source # iterTargetRowMajorAccST :: Int -> Int -> Scheduler s a -> Int -> Sz Ix3T -> Ix3T -> Ix3T -> a -> (a -> ST s (a, a)) -> (Ix1 -> Ix3T -> a -> ST s a) -> ST s a Source # iterTargetRowMajorAccST_ :: Int -> Int -> Scheduler s () -> Int -> Sz Ix3T -> Ix3T -> Ix3T -> a -> (a -> ST s (a, a)) -> (Ix1 -> Ix3T -> a -> ST s a) -> ST s () Source #
Index Ix2T Source #	Since: 0.1.0
Instance details Defined in Data.Massiv.Core.Index.Tuple Associated Types type Dimensions Ix2T :: Nat Source # Methods dimensions :: proxy Ix2T -> Dim Source # totalElem :: Sz Ix2T -> Int Source # consDim :: Int -> Lower Ix2T -> Ix2T Source # unconsDim :: Ix2T -> (Int, Lower Ix2T) Source # snocDim :: Lower Ix2T -> Int -> Ix2T Source # unsnocDim :: Ix2T -> (Lower Ix2T, Int) Source # pullOutDimM :: MonadThrow m => Ix2T -> Dim -> m (Int, Lower Ix2T) Source # insertDimM :: MonadThrow m => Lower Ix2T -> Dim -> Int -> m Ix2T Source # getDimM :: MonadThrow m => Ix2T -> Dim -> m Int Source # setDimM :: MonadThrow m => Ix2T -> Dim -> Int -> m Ix2T Source # modifyDimM :: MonadThrow m => Ix2T -> Dim -> (Int -> Int) -> m (Int, Ix2T) Source # pureIndex :: Int -> Ix2T Source # liftIndex2 :: (Int -> Int -> Int) -> Ix2T -> Ix2T -> Ix2T Source # liftIndex :: (Int -> Int) -> Ix2T -> Ix2T Source # foldlIndex :: (a -> Int -> a) -> a -> Ix2T -> a Source # isSafeIndex :: Sz Ix2T -> Ix2T -> Bool Source # toLinearIndex :: Sz Ix2T -> Ix2T -> Ix1 Source # toLinearIndexAcc :: Ix1 -> Ix2T -> Ix2T -> Ix1 Source # fromLinearIndex :: Sz Ix2T -> Ix1 -> Ix2T Source # fromLinearIndexAcc :: Ix2T -> Ix1 -> (Int, Ix2T) Source # repairIndex :: Sz Ix2T -> Ix2T -> (Sz Int -> Int -> Int) -> (Sz Int -> Int -> Int) -> Ix2T Source # iterM :: Monad m => Ix2T -> Ix2T -> Ix2T -> (Int -> Int -> Bool) -> a -> (Ix2T -> a -> m a) -> m a Source # iterRowMajorST :: Int -> Scheduler s a -> Ix2T -> Ix2T -> Sz Ix2T -> a -> (a -> ST s (a, a)) -> (Ix2T -> a -> ST s a) -> ST s a Source # iterF :: Ix2T -> Ix2T -> Ix2T -> (Int -> Int -> Bool) -> f a -> (Ix2T -> f a -> f a) -> f a Source # stepNextMF :: Ix2T -> Ix2T -> Ix2T -> (Int -> Int -> Bool) -> (Maybe Ix2T -> f a) -> f a Source # iterTargetRowMajorA_ :: Applicative f => Int -> Int -> Sz Ix2T -> Ix2T -> Ix2T -> (Ix1 -> Ix2T -> f a) -> f () Source # iterTargetRowMajorAccM :: Monad m => Int -> Int -> Sz Ix2T -> Ix2T -> Ix2T -> a -> (Ix1 -> Ix2T -> a -> m a) -> m a Source # iterTargetRowMajorAccST :: Int -> Int -> Scheduler s a -> Int -> Sz Ix2T -> Ix2T -> Ix2T -> a -> (a -> ST s (a, a)) -> (Ix1 -> Ix2T -> a -> ST s a) -> ST s a Source # iterTargetRowMajorAccST_ :: Int -> Int -> Scheduler s () -> Int -> Sz Ix2T -> Ix2T -> Ix2T -> a -> (a -> ST s (a, a)) -> (Ix1 -> Ix2T -> a -> ST s a) -> ST s () Source #
HighIxN n => Index (IxN n) Source #
Instance details Defined in Data.Massiv.Core.Index.Ix Associated Types type Dimensions (IxN n) :: Nat Source # Methods dimensions :: proxy (IxN n) -> Dim Source # totalElem :: Sz (IxN n) -> Int Source # consDim :: Int -> Lower (IxN n) -> IxN n Source # unconsDim :: IxN n -> (Int, Lower (IxN n)) Source # snocDim :: Lower (IxN n) -> Int -> IxN n Source # unsnocDim :: IxN n -> (Lower (IxN n), Int) Source # pullOutDimM :: MonadThrow m => IxN n -> Dim -> m (Int, Lower (IxN n)) Source # insertDimM :: MonadThrow m => Lower (IxN n) -> Dim -> Int -> m (IxN n) Source # getDimM :: MonadThrow m => IxN n -> Dim -> m Int Source # setDimM :: MonadThrow m => IxN n -> Dim -> Int -> m (IxN n) Source # modifyDimM :: MonadThrow m => IxN n -> Dim -> (Int -> Int) -> m (Int, IxN n) Source # pureIndex :: Int -> IxN n Source # liftIndex2 :: (Int -> Int -> Int) -> IxN n -> IxN n -> IxN n Source # liftIndex :: (Int -> Int) -> IxN n -> IxN n Source # foldlIndex :: (a -> Int -> a) -> a -> IxN n -> a Source # isSafeIndex :: Sz (IxN n) -> IxN n -> Bool Source # toLinearIndex :: Sz (IxN n) -> IxN n -> Ix1 Source # toLinearIndexAcc :: Ix1 -> IxN n -> IxN n -> Ix1 Source # fromLinearIndex :: Sz (IxN n) -> Ix1 -> IxN n Source # fromLinearIndexAcc :: IxN n -> Ix1 -> (Int, IxN n) Source # repairIndex :: Sz (IxN n) -> IxN n -> (Sz Int -> Int -> Int) -> (Sz Int -> Int -> Int) -> IxN n Source # iterM :: Monad m => IxN n -> IxN n -> IxN n -> (Int -> Int -> Bool) -> a -> (IxN n -> a -> m a) -> m a Source # iterRowMajorST :: Int -> Scheduler s a -> IxN n -> IxN n -> Sz (IxN n) -> a -> (a -> ST s (a, a)) -> (IxN n -> a -> ST s a) -> ST s a Source # iterF :: IxN n -> IxN n -> IxN n -> (Int -> Int -> Bool) -> f a -> (IxN n -> f a -> f a) -> f a Source # stepNextMF :: IxN n -> IxN n -> IxN n -> (Int -> Int -> Bool) -> (Maybe (IxN n) -> f a) -> f a Source # iterTargetRowMajorA_ :: Applicative f => Int -> Int -> Sz (IxN n) -> IxN n -> IxN n -> (Ix1 -> IxN n -> f a) -> f () Source # iterTargetRowMajorAccM :: Monad m => Int -> Int -> Sz (IxN n) -> IxN n -> IxN n -> a -> (Ix1 -> IxN n -> a -> m a) -> m a Source # iterTargetRowMajorAccST :: Int -> Int -> Scheduler s a -> Int -> Sz (IxN n) -> IxN n -> IxN n -> a -> (a -> ST s (a, a)) -> (Ix1 -> IxN n -> a -> ST s a) -> ST s a Source # iterTargetRowMajorAccST_ :: Int -> Int -> Scheduler s () -> Int -> Sz (IxN n) -> IxN n -> IxN n -> a -> (a -> ST s (a, a)) -> (Ix1 -> IxN n -> a -> ST s a) -> ST s () Source #
Index (IxN 3) Source #
Instance details Defined in Data.Massiv.Core.Index.Ix Associated Types type Dimensions (IxN 3) :: Nat Source # Methods dimensions :: proxy (IxN 3) -> Dim Source # totalElem :: Sz (IxN 3) -> Int Source # consDim :: Int -> Lower (IxN 3) -> IxN 3 Source # unconsDim :: IxN 3 -> (Int, Lower (IxN 3)) Source # snocDim :: Lower (IxN 3) -> Int -> IxN 3 Source # unsnocDim :: IxN 3 -> (Lower (IxN 3), Int) Source # pullOutDimM :: MonadThrow m => IxN 3 -> Dim -> m (Int, Lower (IxN 3)) Source # insertDimM :: MonadThrow m => Lower (IxN 3) -> Dim -> Int -> m (IxN 3) Source # getDimM :: MonadThrow m => IxN 3 -> Dim -> m Int Source # setDimM :: MonadThrow m => IxN 3 -> Dim -> Int -> m (IxN 3) Source # modifyDimM :: MonadThrow m => IxN 3 -> Dim -> (Int -> Int) -> m (Int, IxN 3) Source # pureIndex :: Int -> IxN 3 Source # liftIndex2 :: (Int -> Int -> Int) -> IxN 3 -> IxN 3 -> IxN 3 Source # liftIndex :: (Int -> Int) -> IxN 3 -> IxN 3 Source # foldlIndex :: (a -> Int -> a) -> a -> IxN 3 -> a Source # isSafeIndex :: Sz (IxN 3) -> IxN 3 -> Bool Source # toLinearIndex :: Sz (IxN 3) -> IxN 3 -> Ix1 Source # toLinearIndexAcc :: Ix1 -> IxN 3 -> IxN 3 -> Ix1 Source # fromLinearIndex :: Sz (IxN 3) -> Ix1 -> IxN 3 Source # fromLinearIndexAcc :: IxN 3 -> Ix1 -> (Int, IxN 3) Source # repairIndex :: Sz (IxN 3) -> IxN 3 -> (Sz Int -> Int -> Int) -> (Sz Int -> Int -> Int) -> IxN 3 Source # iterM :: Monad m => IxN 3 -> IxN 3 -> IxN 3 -> (Int -> Int -> Bool) -> a -> (IxN 3 -> a -> m a) -> m a Source # iterRowMajorST :: Int -> Scheduler s a -> IxN 3 -> IxN 3 -> Sz (IxN 3) -> a -> (a -> ST s (a, a)) -> (IxN 3 -> a -> ST s a) -> ST s a Source # iterF :: IxN 3 -> IxN 3 -> IxN 3 -> (Int -> Int -> Bool) -> f a -> (IxN 3 -> f a -> f a) -> f a Source # stepNextMF :: IxN 3 -> IxN 3 -> IxN 3 -> (Int -> Int -> Bool) -> (Maybe (IxN 3) -> f a) -> f a Source # iterTargetRowMajorA_ :: Applicative f => Int -> Int -> Sz (IxN 3) -> IxN 3 -> IxN 3 -> (Ix1 -> IxN 3 -> f a) -> f () Source # iterTargetRowMajorAccM :: Monad m => Int -> Int -> Sz (IxN 3) -> IxN 3 -> IxN 3 -> a -> (Ix1 -> IxN 3 -> a -> m a) -> m a Source # iterTargetRowMajorAccST :: Int -> Int -> Scheduler s a -> Int -> Sz (IxN 3) -> IxN 3 -> IxN 3 -> a -> (a -> ST s (a, a)) -> (Ix1 -> IxN 3 -> a -> ST s a) -> ST s a Source # iterTargetRowMajorAccST_ :: Int -> Int -> Scheduler s () -> Int -> Sz (IxN 3) -> IxN 3 -> IxN 3 -> a -> (a -> ST s (a, a)) -> (Ix1 -> IxN 3 -> a -> ST s a) -> ST s () Source #

zeroIndex :: Index ix => ix Source #

Index with all zeros

Examples

Expand

>>> zeroIndex :: Ix4
0 :> 0 :> 0 :. 0

Since: 0.1.0

oneIndex :: Index ix => ix Source #

Index with all ones

Since: 0.3.0

isZeroSz :: Index ix => Sz ix -> Bool Source #

Checks whether size can hold at least one element.

Examples

Expand

>>> isZeroSz (Sz3 1 0 2)
True

Since: 1.0.0

isNotZeroSz :: Index ix => Sz ix -> Bool Source #

Checks whether size can hold at least one element.

Examples

Expand

>>> isNotZeroSz (Sz3 1 0 2)
False

Since: 1.0.0

headDim :: Index ix => ix -> Int Source #

Get the outmost dimension of the index.

Examples

Expand

>>> headDim (2 :> 3 :> 4 :. 5)
2

Since: 0.1.0

tailDim :: Index ix => ix -> Lower ix Source #

Drop the outmost dimension from the index

Examples

Expand

>>> tailDim (2 :> 3 :> 4 :. 5)
3 :> 4 :. 5

Since: 0.1.0

lastDim :: Index ix => ix -> Int Source #

Get the innermost dimension from the index

Examples

Expand

>>> lastDim (2 :> 3 :> 4 :. 5)
5

Since: 0.1.0

initDim :: Index ix => ix -> Lower ix Source #

Drop the innermost dimension from the index

Examples

Expand

>>> initDim (2 :> 3 :> 4 :. 5)
2 :> 3 :. 4

Since: 0.1.0

getDim' :: (HasCallStack, Index ix) => ix -> Dim -> Int Source #

Change the value from a specific dimension within the index. See getDimM for a safer version and getDimension for a type safe version.

Examples

Expand

>>> getDim' (2 :> 3 :> 4 :. 5) 3
3

Since: 0.2.4

setDim' :: (HasCallStack, Index ix) => ix -> Dim -> Int -> ix Source #

Change the value of a specific dimension within the index. See setDimM for a safer version and setDimension for a type safe version.

Examples

Expand

>>> setDim' (2 :> 3 :> 4 :. 5) 3 10
2 :> 10 :> 4 :. 5

Since: 0.2.4

modifyDim' :: (HasCallStack, Index ix) => ix -> Dim -> (Int -> Int) -> (Int, ix) Source #

Update the value of a specific dimension within the index. See modifyDimM for a safer version and modifyDimension for a type safe version.

Examples

Expand

>>> modifyDim' (2 :> 3 :> 4 :. 5) 2 (+ 10)
(4,2 :> 3 :> 14 :. 5)

Since: 0.4.1

dropDimM :: (MonadThrow m, Index ix) => ix -> Dim -> m (Lower ix) Source #

Remove a dimension from the index.

Examples

Expand

>>> dropDimM (2 :> 3 :> 4 :. 5) 3 :: Maybe Ix3
Just (2 :> 4 :. 5)
>>> dropDimM (2 :> 3 :> 4 :. 5) 6 :: Maybe Ix3
Nothing

Since: 0.3.0

dropDim' :: (HasCallStack, Index ix) => ix -> Dim -> Lower ix Source #

Remove a dimension from the index.

Examples

Expand

>>> dropDim' (2 :> 3 :> 4 :. 5) 3
2 :> 4 :. 5

Since: 0.2.4

pullOutDim' :: (HasCallStack, Index ix) => ix -> Dim -> (Int, Lower ix) Source #

Lower the dimension of the index by pulling the specified dimension. See pullOutDimM for a safer version and pullOutDimension for a type safe version.

Examples

Expand

>>> pullOutDim' (2 :> 3 :> 4 :. 5) 3
(3,2 :> 4 :. 5)

Since: 0.2.4

insertDim' :: (HasCallStack, Index ix) => Lower ix -> Dim -> Int -> ix Source #

Raise the dimension of the index by inserting one in the specified dimension. See insertDimM for a safer version and insertDimension for a type safe version.

Examples

Expand

>>> insertDim' (2 :> 3 :> 4 :. 5) 3 10 :: Ix5
2 :> 3 :> 10 :> 4 :. 5

Since: 0.2.4

fromDimension :: KnownNat n => Dimension n -> Dim Source #

Get the value level Dim from the type level equivalent.

Examples

Expand

>>> fromDimension Dim4
(Dim 4)
>>> :set -XDataKinds
>>> fromDimension (DimN :: Dimension 10)
(Dim 10)

Since: 0.2.4

getDimension :: IsIndexDimension ix n => ix -> Dimension n -> Int Source #

Type safe way to extract value of index at a particular dimension.

Examples

Expand

>>> getDimension (2 :> 3 :> 4 :. 5) Dim2
4

Since: 0.2.4

setDimension :: IsIndexDimension ix n => ix -> Dimension n -> Int -> ix Source #

Type safe way to set value of index at a particular dimension.

Examples

Expand

>>> setDimension (2 :> 3 :> 4 :. 5) Dim4 10
10 :> 3 :> 4 :. 5

Since: 0.2.4

modifyDimension :: IsIndexDimension ix n => ix -> Dimension n -> (Int -> Int) -> (Int, ix) Source #

Type safe way to set value of index at a particular dimension.

Examples

Expand

>>> modifyDimension (2 :> 3 :> 4 :. 5) Dim3 (+ 2)
(3,2 :> 5 :> 4 :. 5)

Since: 0.4.1

dropDimension :: IsIndexDimension ix n => ix -> Dimension n -> Lower ix Source #

Type safe way of dropping a particular dimension, thus lowering index dimensionality.

Examples

Expand

>>> dropDimension (2 :> 3 :> 4 :. 5) Dim2
2 :> 3 :. 5

Since: 0.2.4

pullOutDimension :: IsIndexDimension ix n => ix -> Dimension n -> (Int, Lower ix) Source #

Type safe way of pulling out a particular dimension, thus lowering index dimensionality and returning the value at specified dimension.

Examples

Expand

>>> pullOutDimension (2 :> 3 :> 4 :. 5) Dim2
(4,2 :> 3 :. 5)

Since: 0.2.4

insertDimension :: IsIndexDimension ix n => Lower ix -> Dimension n -> Int -> ix Source #

Type safe way of inserting a particular dimension, thus raising index dimensionality.

Examples

Expand

>>> insertDimension (2 :> 3 :> 4 :. 5) Dim5 10 :: Ix5
10 :> 2 :> 3 :> 4 :. 5
>>> insertDimension (2 :> 3 :> 4 :. 5) Dim4 10 :: Ix5
2 :> 10 :> 3 :> 4 :. 5
>>> insertDimension (2 :> 3 :> 4 :. 5) Dim3 10 :: Ix5
2 :> 3 :> 10 :> 4 :. 5
>>> insertDimension (2 :> 3 :> 4 :. 5) Dim2 10 :: Ix5
2 :> 3 :> 4 :> 10 :. 5
>>> insertDimension (2 :> 3 :> 4 :. 5) Dim1 10 :: Ix5
2 :> 3 :> 4 :> 5 :. 10

Since: 0.2.5

Iterators

iter Source #

Arguments

:: Index ix
=> ix	Start index
-> ix	End index
-> ix	Increment
-> (Int -> Int -> Bool)	Continuation condition
-> a	Accumulator
-> (ix -> a -> a)	Iterating function
-> a

Row-major iterator for the index. Same as iterM, but pure.

Examples

Expand

>>> iter (Ix1 0) 1000 1 (<) 0 (+)
499500
>>> iter (0 :. 0) (2 :. 3) oneIndex (<) 100 $ \ (i :. j) acc -> (acc + i) * (j + 1)
3615

Since: 0.1.0

iterA_ Source #

Arguments

:: forall ix f a. (Index ix, Applicative f)
=> ix	Starting index
-> ix	Ending index (not included)
-> ix	Stepping index
-> (Int -> Int -> Bool)	Continuation function. Loop will stop on `False`
-> (ix -> f a)	Action applied to an index. Result is ignored.
-> f ()

Same as iterM, Iterate over a region with specific step, but using Applicative instead of a Monad and don't bother with accumulator or return value.

Since: 1.0.2

iterM_ :: (Index ix, Monad m) => ix -> ix -> ix -> (Int -> Int -> Bool) -> (ix -> m a) -> m () Source #

Deprecated: In favor of more lax iterA_

Same as iterM, but don't bother with accumulator and return value.

Since: 0.1.0

iterLinearM Source #

Arguments

:: (Index ix, Monad m)
=> Sz ix	Size
-> Int	Linear start (must be non-negative)
-> Int	Linear end (must be less than or equal to `totalElem sz`)
-> Int	Increment (must not be zero)
-> (Int -> Int -> Bool)	Continuation condition (continue if `True`)
-> a	Accumulator
-> (Int -> ix -> a -> m a)
-> m a

Iterate over N-dimensional space linearly from start to end in row-major fashion with an accumulator

Examples

Expand

>>> sz = Sz2 3 4
>>> iterLinearM sz 0 3 1 (<) 100 $ \ k ix acc -> (acc + k) <$ print (fromLinearIndex sz k == ix)
True
True
True
103

Since: 0.1.0

iterLinearM_ Source #

Arguments

:: (Index ix, Monad m)
=> Sz ix	Size
-> Int	Start (must be non-negative)
-> Int	End
-> Int	Increment (must not be zero)
-> (Int -> Int -> Bool)	Continuation condition (continue if `True`)
-> (Int -> ix -> m ())	Monadic action that takes index in both forms
-> m ()

Same as iterLinearM, except without an accumulator.

Examples

Expand

>>> sz = Sz2 3 4
>>> iterLinearM_ sz 0 3 1 (<) $ \ k ix -> print (toLinearIndex sz ix == k)
True
True
True

Since: 0.1.0

loop :: Int -> (Int -> Bool) -> (Int -> Int) -> a -> (Int -> a -> a) -> a Source #

Efficient loop with an accumulator

Since: 0.1.0

loopF :: Int -> (Int -> Bool) -> (Int -> Int) -> f a -> (Int -> f a -> f a) -> f a Source #

nextMaybeF :: Int -> (Int -> Bool) -> (Int -> Int) -> (Maybe Int -> f a) -> f a Source #

loopA :: Applicative f => Int -> (Int -> Bool) -> (Int -> Int) -> f b -> (Int -> f (b -> b)) -> f b Source #

Applicative loop. Use monadic loopM when possible, since it will be more efficient.

Since: 0.3.0

loopA_ :: Applicative f => Int -> (Int -> Bool) -> (Int -> Int) -> (Int -> f a) -> f () Source #

Efficient Applicative loop. Result of each iteration is discarded.

loopA_ initial cond incr f === loopA initial cond incr (pure ()) (\i -> id <$ f i)

Since: 1.0.2

loopM :: Monad m => Int -> (Int -> Bool) -> (Int -> Int) -> a -> (Int -> a -> m a) -> m a Source #

Efficient monadic loop with an accumulator

>>> loopM 1 (< 20) (+ 2) [] (\i a -> Just (i:a))
Just [19,17,15,13,11,9,7,5,3,1]

Since: 0.1.0

loopM_ :: Monad m => Int -> (Int -> Bool) -> (Int -> Int) -> (Int -> m a) -> m () Source #

Deprecated: In favor of loopA_

Efficient monadic loop. Result of each iteration is discarded.

Since: 0.1.0

iloopM :: Monad m => Int -> Int -> (Int -> Bool) -> (Int -> Int) -> a -> (Int -> Int -> a -> m a) -> m a Source #

Efficient monadic loop with an accumulator and extra linear index incremented by 1.

>>> iloopM 100 1 (< 20) (+ 2) [] (\i ix a -> Just ((i, ix) : a))
Just [(109,19),(108,17),(107,15),(106,13),(105,11),(104,9),(103,7),(102,5),(101,3),(100,1)]

Since: 1.0.2

iloopA_ :: Applicative f => Int -> Int -> (Int -> Bool) -> (Int -> Int) -> (Int -> Int -> f a) -> f () Source #

Efficient monadic loop with extra linear index incremented by 1.

>>> iloopA_ 100 1 (< 10) (+ 2) (\i ix -> print (i, ix))
(100,1)
(101,3)
(102,5)
(103,7)
(104,9)

Since: 1.0.2

loopNextM :: Monad m => Int -> (Int -> Bool) -> (Int -> Int) -> a -> (Int -> Int -> a -> m a) -> m a Source #

Similar to loopM_ except the action accepts not only the value for current step, but also for the next one as well.

Since: 1.0.2

loopNextA_ :: Applicative f => Int -> (Int -> Bool) -> (Int -> Int) -> (Int -> Int -> f a) -> f () Source #

Similar to loopM_ except the action accepts not only the value for current step, but also for the next one as well.

Since: 1.0.2

loopDeepM :: Monad m => Int -> (Int -> Bool) -> (Int -> Int) -> a -> (Int -> a -> m a) -> m a Source #

Similar to loopM, but way less efficient monadic loop with an accumulator that reverses the direction of action application. eg:

>>> loopDeepM 1 (< 20) (+ 2) [] (\i a -> Just (i:a))
Just [1,3,5,7,9,11,13,15,17,19]

Equivalent to:

>>> loopM 19 (>= 1) (subtract 2) [] (\i a -> Just (i:a))
Just [1,3,5,7,9,11,13,15,17,19]

Since: 0.1.0

splitLinearly Source #

Arguments

:: Int	Number of chunks
-> Int	Total length
-> (Int -> Int -> a)	Function that accepts a chunk length and slack start index
-> a

Divide length in chunks and apply a function to the computed results

Since: 0.2.1

splitLinearlyM :: MonadPrimBase s m => Scheduler s a -> Int -> (Int -> Int -> m a) -> m () Source #

Iterator that expects an action that accepts starting linear index as well as the ending

Since: 1.0.2

splitLinearlyM_ :: MonadPrimBase s m => Scheduler s () -> Int -> (Int -> Int -> m ()) -> m () Source #

Iterator that expects an action that accepts starting linear index as well as the ending

Since: 0.5.7

splitLinearlyWith_ :: MonadPrimBase s m => Scheduler s () -> Int -> (Int -> b) -> (Int -> b -> m ()) -> m () Source #

Iterator that can be used to split computation amongst different workers. For monadic generator see splitLinearlyWithM_.

Since: 0.2.1

splitLinearlyWithM_ :: MonadPrimBase s m => Scheduler s () -> Int -> (Int -> m b) -> (Int -> b -> m c) -> m () Source #

Iterator that can be used to split computation jobs

Since: 0.2.6

splitLinearlyWithStartAtM_ :: MonadPrimBase s m => Scheduler s () -> Int -> Int -> (Int -> m b) -> (Int -> b -> m c) -> m () Source #

Iterator that can be used to split computation jobs

Since: 0.3.0

splitLinearlyWithStatefulM_ Source #

Arguments

:: MonadUnliftIO m
=> SchedulerWS ws ()
-> Int	Total linear length
-> (Int -> ws -> m b)	Element producing action
-> (Int -> b -> m c)	Element storing action
-> m ()

Iterator that can be used to split computation jobs, while using a stateful scheduler.

Since: 0.3.4

iterLinearST_ :: Int -> Scheduler s () -> Int -> Int -> Int -> (Int -> ST s a) -> ST s () Source #

Linear iterator that supports multiplying factor

Since: 1.0.2

iterLinearAccST_ :: Int -> Scheduler s () -> Int -> Int -> Int -> a -> (a -> ST s (a, a)) -> (Int -> a -> ST s a) -> ST s () Source #

Linear iterator that supports multiplying factor and accumulator, but the results are discarded.

Since: 1.0.2

iterLinearAccST Source #

Arguments

:: Int
-> Scheduler s a
-> Int
-> Int	Step. Must be non-zero
-> Int
-> a
-> (a -> ST s (a, a))
-> (Int -> a -> ST s a)
-> ST s a

Linear iterator that supports multiplying factor and accumulator. Results of actions are stored in the scheduler.

Since: 1.0.2

splitNumChunks :: Int -> Int -> Int -> (Int, Int) Source #

Helper for figuring out the chunk length and slack start

stepStartAdjust :: Int -> Int -> Int Source #

Helper for adjusting stride of a chunk

Experimental

splitWorkWithFactorST Source #

Arguments

:: Int	Multiplying factor to be applied to number of workers for number of jobs to schedule. Higher the factor, more jobs will be scheduled. Only positive values are valid.
-> Scheduler s a
-> Int	Starting index
-> Int	Stepping value. Can be negative, but must not be zero.
-> Int	Total number of steps to be taken
-> b	Initial value for an accumulator
-> (b -> ST s (b, b))	An action to split accumulator for multiple threads
-> (Int -> Int -> Int -> Int -> b -> ST s a)	A job to be scheduled. Accepts: Chunk index start Chunk length Chunk start index adjusted for supplied start and stepping value Chunk stop index adjusted for supplied start and stepping value
-> ST s b

This is a major helper function for fair splitting and parallelization of work with ability to use some arbitrary accumulator and splittable seed

Since: 1.0.2

scheduleMassivWork :: PrimBase m => Scheduler (PrimState m) a -> m a -> m () Source #

Internal version of a scheduleWork that will be replaced by scheduleWork_ by the compiler whenever action produces ()

withMassivScheduler_ :: Comp -> (Scheduler RealWorld () -> IO ()) -> IO () Source #

Selects an optimal scheduler for the supplied strategy, but it works only in IO

Since: 1.0.0

class Iterator it where Source #

Minimal complete definition

iterTargetM, iterTargetA_, iterTargetWithStrideAccST, iterTargetWithStrideAccST_

Methods

iterTargetA_ Source #

Arguments

:: (Index ix, Applicative f)
=> it
-> Int	Target linear index start
-> Sz ix	Target size
-> ix	Source start index
-> Stride ix	Source stride
-> (Ix1 -> ix -> f a)	Action that accepts a linear index of the target and multi-dimensional index of the source.
-> f ()

Iterate over a target region using linear index with access to the source index, which adjusted according to the stride. Use iterTargetM if you need an accumulator.

Since: 1.0.2

iterTargetM Source #

Arguments

:: (Index ix, Monad m)
=> it
-> Ix1	Target linear index start
-> Sz ix	Target size
-> ix	Source start index
-> Stride ix	Source stride
-> a	Accumulator
-> (Ix1 -> ix -> a -> m a)	Action that accepts a linear index of the target, multi-dimensional index of the source and accumulator
-> m a

Iterate over a target region using linear index with access to the source index, which adjusted according to the stride.

Since: 1.0.2

iterTargetWithStrideAccST Source #

Arguments

:: Index ix
=> it
-> Scheduler s a	Scheduler to use
-> Ix1	Target linear start index
-> Sz ix	Target size
-> ix	Source start index
-> Stride ix	Source stride
-> a	Initial accumulator
-> (a -> ST s (a, a))	Splitting action that produces new accumulators for separate worker threads.
-> (Ix1 -> ix -> a -> ST s a)	Action
-> ST s a

iterTargetWithStrideAccST_ Source #

Arguments

:: Index ix
=> it
-> Scheduler s ()	Scheduler to use
-> Ix1	Target linear start index
-> Sz ix	Target size
-> ix	Start
-> Stride ix	Stride
-> a	Initial accumulator
-> (a -> ST s (a, a))	Splitting action that produces new accumulators for separate worker threads.
-> (Ix1 -> ix -> a -> ST s a)	Action
-> ST s ()

iterFullM Source #

Arguments

:: (Index ix, Monad m)
=> it
-> ix	Source start index
-> Sz ix	Source size
-> a	Accumulator
-> (ix -> a -> m a)	Action that accepts a linear index of the target, multi-dimensional index of the source and accumulator
-> m a

Iterate over a region with a monadic action and accumulator.

Since: 1.0.2

iterFullA_ Source #

Arguments

:: (Index ix, Applicative f)
=> it
-> ix	Source start index
-> Sz ix	Source size
-> (ix -> f a)	Action that accepts a linear index of the target, multi-dimensional index of the source and accumulator
-> f ()

Iterate over a region with an applicative action ignoring the result.

Since: 1.0.2

iterFullAccST Source #

Arguments

:: Index ix
=> it	Scheduler multiplying factor. Must be positive
-> Scheduler s a	Scheduler to use
-> ix	Start index
-> Sz ix	Size
-> a	Initial accumulator
-> (a -> ST s (a, a))	Function that splits accumulator for each scheduled job.
-> (ix -> a -> ST s a)	Action
-> ST s a

Iterate over a region in a ST monad with access to Scheduler.

iterTargetFullAccST Source #

Arguments

:: Index ix
=> it
-> Scheduler s a	Scheduler to use
-> Ix1	Target linear start index
-> Sz ix	Target size
-> a	Initial accumulator
-> (a -> ST s (a, a))	Function that splits accumulator for each scheduled job.
-> (Ix1 -> ix -> a -> ST s a)	Action
-> ST s a

iterTargetFullAccST_ Source #

Arguments

:: Index ix
=> it
-> Scheduler s ()	Scheduler to use
-> Ix1	Target linear start index
-> Sz ix	Target size
-> a	Initial accumulator
-> (a -> ST s (a, a))	Function that splits accumulator for each scheduled job.
-> (Ix1 -> ix -> a -> ST s a)	Action
-> ST s ()

iterTargetFullST_ Source #

Arguments

:: Index ix
=> it
-> Scheduler s ()	Scheduler to use
-> Ix1	Target linear start index
-> Sz ix	Target size
-> (Ix1 -> ix -> ST s ())	Action
-> ST s ()

iterTargetWithStrideST_ Source #

Arguments

:: Index ix
=> it
-> Scheduler s ()	Scheduler to use
-> Ix1	Target linear start index
-> Sz ix	Target size
-> ix	Start
-> Stride ix	Stride
-> (Ix1 -> ix -> ST s a)	Action
-> ST s ()

Iterate over a target array with a stride without an accumulator

Instances

Instances details

Iterator RowMajorUnbalanced Source #
Instance details Defined in Data.Massiv.Core.Index.Iterator Methods iterTargetA_ :: (Index ix, Applicative f) => RowMajorUnbalanced -> Int -> Sz ix -> ix -> Stride ix -> (Ix1 -> ix -> f a) -> f () Source # iterTargetM :: (Index ix, Monad m) => RowMajorUnbalanced -> Ix1 -> Sz ix -> ix -> Stride ix -> a -> (Ix1 -> ix -> a -> m a) -> m a Source # iterTargetWithStrideAccST :: Index ix => RowMajorUnbalanced -> Scheduler s a -> Ix1 -> Sz ix -> ix -> Stride ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s a Source # iterTargetWithStrideAccST_ :: Index ix => RowMajorUnbalanced -> Scheduler s () -> Ix1 -> Sz ix -> ix -> Stride ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s () Source # iterFullM :: (Index ix, Monad m) => RowMajorUnbalanced -> ix -> Sz ix -> a -> (ix -> a -> m a) -> m a Source # iterFullA_ :: (Index ix, Applicative f) => RowMajorUnbalanced -> ix -> Sz ix -> (ix -> f a) -> f () Source # iterFullAccST :: Index ix => RowMajorUnbalanced -> Scheduler s a -> ix -> Sz ix -> a -> (a -> ST s (a, a)) -> (ix -> a -> ST s a) -> ST s a Source # iterTargetFullAccST :: Index ix => RowMajorUnbalanced -> Scheduler s a -> Ix1 -> Sz ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s a Source # iterTargetFullAccST_ :: Index ix => RowMajorUnbalanced -> Scheduler s () -> Ix1 -> Sz ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s () Source # iterTargetFullST_ :: Index ix => RowMajorUnbalanced -> Scheduler s () -> Ix1 -> Sz ix -> (Ix1 -> ix -> ST s ()) -> ST s () Source # iterTargetWithStrideST_ :: Index ix => RowMajorUnbalanced -> Scheduler s () -> Ix1 -> Sz ix -> ix -> Stride ix -> (Ix1 -> ix -> ST s a) -> ST s () Source #
Iterator RowMajorLinear Source #
Instance details Defined in Data.Massiv.Core.Index.Iterator Methods iterTargetA_ :: (Index ix, Applicative f) => RowMajorLinear -> Int -> Sz ix -> ix -> Stride ix -> (Ix1 -> ix -> f a) -> f () Source # iterTargetM :: (Index ix, Monad m) => RowMajorLinear -> Ix1 -> Sz ix -> ix -> Stride ix -> a -> (Ix1 -> ix -> a -> m a) -> m a Source # iterTargetWithStrideAccST :: Index ix => RowMajorLinear -> Scheduler s a -> Ix1 -> Sz ix -> ix -> Stride ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s a Source # iterTargetWithStrideAccST_ :: Index ix => RowMajorLinear -> Scheduler s () -> Ix1 -> Sz ix -> ix -> Stride ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s () Source # iterFullM :: (Index ix, Monad m) => RowMajorLinear -> ix -> Sz ix -> a -> (ix -> a -> m a) -> m a Source # iterFullA_ :: (Index ix, Applicative f) => RowMajorLinear -> ix -> Sz ix -> (ix -> f a) -> f () Source # iterFullAccST :: Index ix => RowMajorLinear -> Scheduler s a -> ix -> Sz ix -> a -> (a -> ST s (a, a)) -> (ix -> a -> ST s a) -> ST s a Source # iterTargetFullAccST :: Index ix => RowMajorLinear -> Scheduler s a -> Ix1 -> Sz ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s a Source # iterTargetFullAccST_ :: Index ix => RowMajorLinear -> Scheduler s () -> Ix1 -> Sz ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s () Source # iterTargetFullST_ :: Index ix => RowMajorLinear -> Scheduler s () -> Ix1 -> Sz ix -> (Ix1 -> ix -> ST s ()) -> ST s () Source # iterTargetWithStrideST_ :: Index ix => RowMajorLinear -> Scheduler s () -> Ix1 -> Sz ix -> ix -> Stride ix -> (Ix1 -> ix -> ST s a) -> ST s () Source #
Iterator RowMajor Source #
Instance details Defined in Data.Massiv.Core.Index.Iterator Methods iterTargetA_ :: (Index ix, Applicative f) => RowMajor -> Int -> Sz ix -> ix -> Stride ix -> (Ix1 -> ix -> f a) -> f () Source # iterTargetM :: (Index ix, Monad m) => RowMajor -> Ix1 -> Sz ix -> ix -> Stride ix -> a -> (Ix1 -> ix -> a -> m a) -> m a Source # iterTargetWithStrideAccST :: Index ix => RowMajor -> Scheduler s a -> Ix1 -> Sz ix -> ix -> Stride ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s a Source # iterTargetWithStrideAccST_ :: Index ix => RowMajor -> Scheduler s () -> Ix1 -> Sz ix -> ix -> Stride ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s () Source # iterFullM :: (Index ix, Monad m) => RowMajor -> ix -> Sz ix -> a -> (ix -> a -> m a) -> m a Source # iterFullA_ :: (Index ix, Applicative f) => RowMajor -> ix -> Sz ix -> (ix -> f a) -> f () Source # iterFullAccST :: Index ix => RowMajor -> Scheduler s a -> ix -> Sz ix -> a -> (a -> ST s (a, a)) -> (ix -> a -> ST s a) -> ST s a Source # iterTargetFullAccST :: Index ix => RowMajor -> Scheduler s a -> Ix1 -> Sz ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s a Source # iterTargetFullAccST_ :: Index ix => RowMajor -> Scheduler s () -> Ix1 -> Sz ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s () Source # iterTargetFullST_ :: Index ix => RowMajor -> Scheduler s () -> Ix1 -> Sz ix -> (Ix1 -> ix -> ST s ()) -> ST s () Source # iterTargetWithStrideST_ :: Index ix => RowMajor -> Scheduler s () -> Ix1 -> Sz ix -> ix -> Stride ix -> (Ix1 -> ix -> ST s a) -> ST s () Source #

Extra iterator functions

iterTargetAccST Source #

Arguments

:: (Iterator it, Index ix)
=> it
-> Scheduler s a	Scheduler to use
-> Ix1	Target linear start index
-> Sz ix	Target size
-> ix	Source start
-> a
-> (a -> ST s (a, a))
-> (Ix1 -> ix -> a -> ST s a)	Action
-> ST s a

iterTargetAccST_ Source #

Arguments

:: (Iterator it, Index ix)
=> it
-> Scheduler s ()	Scheduler to use
-> Ix1	Target linear start index
-> Sz ix	Target size
-> ix	Source start
-> a
-> (a -> ST s (a, a))
-> (Ix1 -> ix -> a -> ST s a)	Action
-> ST s ()

iterTargetFullWithStrideAccST Source #

Arguments

:: (Iterator it, Index ix)
=> it
-> Scheduler s a	Scheduler to use
-> Ix1	Target linear start index
-> Sz ix	Target size
-> Stride ix	Stride
-> a
-> (a -> ST s (a, a))
-> (Ix1 -> ix -> a -> ST s a)	Action
-> ST s a

iterTargetFullWithStrideAccST_ Source #

Arguments

:: (Iterator it, Index ix)
=> it
-> Scheduler s ()	Scheduler to use
-> Ix1	Target linear start index
-> Sz ix	Target size
-> Stride ix	Stride
-> a
-> (a -> ST s (a, a))
-> (Ix1 -> ix -> a -> ST s a)	Action
-> ST s ()

iterTargetST_ Source #

Arguments

:: (Iterator it, Index ix)
=> it
-> Scheduler s ()	Scheduler to use
-> Ix1	Target linear start index
-> Sz ix	Target size
-> ix	Start
-> (Ix1 -> ix -> ST s ())	Action
-> ST s ()

iterTargetFullWithStrideST_ Source #

Arguments

:: (Iterator it, Index ix)
=> it
-> Scheduler s ()	Scheduler to use
-> Ix1	Target linear start index
-> Sz ix	Target size
-> Stride ix	Stride
-> (Ix1 -> ix -> ST s ())	Action
-> ST s ()

Iterator implementations

data RowMajor where Source #

Default iterator that parallelizes work in linear chunks. Supplied factor will be used to schedule that many jobs per capability.

Since: 1.0.2

Bundled Patterns

pattern RowMajor
Fields :: Int Multiplier that will be used to scale number of jobs. -> RowMajor

Instances

Instances details

Iterator RowMajor Source #

Instance details

Defined in Data.Massiv.Core.Index.Iterator

Methods

iterTargetA_ :: (Index ix, Applicative f) => RowMajor -> Int -> Sz ix -> ix -> Stride ix -> (Ix1 -> ix -> f a) -> f () Source #

iterTargetM :: (Index ix, Monad m) => RowMajor -> Ix1 -> Sz ix -> ix -> Stride ix -> a -> (Ix1 -> ix -> a -> m a) -> m a Source #

iterTargetWithStrideAccST :: Index ix => RowMajor -> Scheduler s a -> Ix1 -> Sz ix -> ix -> Stride ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s a Source #

iterTargetWithStrideAccST_ :: Index ix => RowMajor -> Scheduler s () -> Ix1 -> Sz ix -> ix -> Stride ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s () Source #

iterFullM :: (Index ix, Monad m) => RowMajor -> ix -> Sz ix -> a -> (ix -> a -> m a) -> m a Source #

iterFullA_ :: (Index ix, Applicative f) => RowMajor -> ix -> Sz ix -> (ix -> f a) -> f () Source #

iterFullAccST :: Index ix => RowMajor -> Scheduler s a -> ix -> Sz ix -> a -> (a -> ST s (a, a)) -> (ix -> a -> ST s a) -> ST s a Source #

iterTargetFullAccST :: Index ix => RowMajor -> Scheduler s a -> Ix1 -> Sz ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s a Source #

iterTargetFullAccST_ :: Index ix => RowMajor -> Scheduler s () -> Ix1 -> Sz ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s () Source #

iterTargetFullST_ :: Index ix => RowMajor -> Scheduler s () -> Ix1 -> Sz ix -> (Ix1 -> ix -> ST s ()) -> ST s () Source #

iterTargetWithStrideST_ :: Index ix => RowMajor -> Scheduler s () -> Ix1 -> Sz ix -> ix -> Stride ix -> (Ix1 -> ix -> ST s a) -> ST s () Source #

defRowMajor :: RowMajor Source #

Default row major iterator with multiplying factor set to 8.

newtype RowMajorLinear Source #

Constructors

RowMajorLinear Int

Instances

Instances details

Iterator RowMajorLinear Source #

Instance details

Defined in Data.Massiv.Core.Index.Iterator

Methods

iterTargetA_ :: (Index ix, Applicative f) => RowMajorLinear -> Int -> Sz ix -> ix -> Stride ix -> (Ix1 -> ix -> f a) -> f () Source #

iterTargetM :: (Index ix, Monad m) => RowMajorLinear -> Ix1 -> Sz ix -> ix -> Stride ix -> a -> (Ix1 -> ix -> a -> m a) -> m a Source #

iterTargetWithStrideAccST :: Index ix => RowMajorLinear -> Scheduler s a -> Ix1 -> Sz ix -> ix -> Stride ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s a Source #

iterTargetWithStrideAccST_ :: Index ix => RowMajorLinear -> Scheduler s () -> Ix1 -> Sz ix -> ix -> Stride ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s () Source #

iterFullM :: (Index ix, Monad m) => RowMajorLinear -> ix -> Sz ix -> a -> (ix -> a -> m a) -> m a Source #

iterFullA_ :: (Index ix, Applicative f) => RowMajorLinear -> ix -> Sz ix -> (ix -> f a) -> f () Source #

iterFullAccST :: Index ix => RowMajorLinear -> Scheduler s a -> ix -> Sz ix -> a -> (a -> ST s (a, a)) -> (ix -> a -> ST s a) -> ST s a Source #

iterTargetFullAccST :: Index ix => RowMajorLinear -> Scheduler s a -> Ix1 -> Sz ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s a Source #

iterTargetFullAccST_ :: Index ix => RowMajorLinear -> Scheduler s () -> Ix1 -> Sz ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s () Source #

iterTargetFullST_ :: Index ix => RowMajorLinear -> Scheduler s () -> Ix1 -> Sz ix -> (Ix1 -> ix -> ST s ()) -> ST s () Source #

iterTargetWithStrideST_ :: Index ix => RowMajorLinear -> Scheduler s () -> Ix1 -> Sz ix -> ix -> Stride ix -> (Ix1 -> ix -> ST s a) -> ST s () Source #

defRowMajorLinear :: RowMajorLinear Source #

data RowMajorUnbalanced where Source #

Parallelizing unbalanced computation (i.e. computing some elements of the array is much more expensive then the others) it can be benefitial to interleave iteration. Perfect example of this would be a ray tracer or the Mandelbrot set.

iteration without parallelization is equivalent to RowMajor

Since: 1.0.2

Bundled Patterns

pattern RowMajorUnbalanced
Fields :: Int Multiplier that will be used to scale number of jobs. -> RowMajorUnbalanced

Instances

Instances details

Iterator RowMajorUnbalanced Source #

Instance details

Defined in Data.Massiv.Core.Index.Iterator

Methods

iterTargetA_ :: (Index ix, Applicative f) => RowMajorUnbalanced -> Int -> Sz ix -> ix -> Stride ix -> (Ix1 -> ix -> f a) -> f () Source #

iterTargetM :: (Index ix, Monad m) => RowMajorUnbalanced -> Ix1 -> Sz ix -> ix -> Stride ix -> a -> (Ix1 -> ix -> a -> m a) -> m a Source #

iterTargetWithStrideAccST :: Index ix => RowMajorUnbalanced -> Scheduler s a -> Ix1 -> Sz ix -> ix -> Stride ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s a Source #

iterTargetWithStrideAccST_ :: Index ix => RowMajorUnbalanced -> Scheduler s () -> Ix1 -> Sz ix -> ix -> Stride ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s () Source #

iterFullM :: (Index ix, Monad m) => RowMajorUnbalanced -> ix -> Sz ix -> a -> (ix -> a -> m a) -> m a Source #

iterFullA_ :: (Index ix, Applicative f) => RowMajorUnbalanced -> ix -> Sz ix -> (ix -> f a) -> f () Source #

iterFullAccST :: Index ix => RowMajorUnbalanced -> Scheduler s a -> ix -> Sz ix -> a -> (a -> ST s (a, a)) -> (ix -> a -> ST s a) -> ST s a Source #

iterTargetFullAccST :: Index ix => RowMajorUnbalanced -> Scheduler s a -> Ix1 -> Sz ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s a Source #

iterTargetFullAccST_ :: Index ix => RowMajorUnbalanced -> Scheduler s () -> Ix1 -> Sz ix -> a -> (a -> ST s (a, a)) -> (Ix1 -> ix -> a -> ST s a) -> ST s () Source #

iterTargetFullST_ :: Index ix => RowMajorUnbalanced -> Scheduler s () -> Ix1 -> Sz ix -> (Ix1 -> ix -> ST s ()) -> ST s () Source #

iterTargetWithStrideST_ :: Index ix => RowMajorUnbalanced -> Scheduler s () -> Ix1 -> Sz ix -> ix -> Stride ix -> (Ix1 -> ix -> ST s a) -> ST s () Source #

defRowMajorUnbalanced :: RowMajorUnbalanced Source #

Tuple based indices

1-dimensional

type Ix1T = Int Source #

Another 1-dimensional index type synonym for Int, same as Ix1 and is here just for consistency.

2-dimensional

type Ix2T = (Int, Int) Source #

2-dimensional index as tuple of Ints.

toIx2 :: Ix2T -> Ix2 Source #

Convert an Int tuple to Ix2

Example

Expand

>>> toIx2 (2, 3)
2 :. 3

Since: 0.1.0

fromIx2 :: Ix2 -> Ix2T Source #

Convert an Ix2 to Int tuple

Example

Expand

>>> fromIx2 (2 :. 3)
(2,3)

Since: 0.1.0

3-dimensional

type Ix3T = (Int, Int, Int) Source #

3-dimensional index as 3-tuple of Ints.

toIx3 :: Ix3T -> Ix3 Source #

Convert a Int 3-tuple to Ix3

Example

Expand

>>> toIx3 (1, 2, 3)
1 :> 2 :. 3

Since: 0.1.0

fromIx3 :: Ix3 -> Ix3T Source #

Convert an Ix3 to Int 3-tuple

Example

Expand

>>> fromIx3 (1 :>  2 :. 3)
(1,2,3)

Since: 0.1.0

4-dimensional

type Ix4T = (Int, Int, Int, Int) Source #

4-dimensional index as 4-tuple of Ints.

toIx4 :: Ix4T -> Ix4 Source #

Convert a Int 4-tuple to Ix4

Example

Expand

>>> toIx4 (1, 2, 3, 4)
1 :> 2 :> 3 :. 4

Since: 0.1.0

fromIx4 :: Ix4 -> Ix4T Source #

Convert an Ix4 to Int 4-tuple

Example

Expand

>>> fromIx4 (1 :> 2 :> 3 :. 4)
(1,2,3,4)

Since: 0.1.0

5-dimensional

type Ix5T = (Int, Int, Int, Int, Int) Source #

5-dimensional index as 5-tuple of Ints.

toIx5 :: Ix5T -> Ix5 Source #

Convert a Int 5-tuple to Ix5

Example

Expand

>>> toIx5 (1, 2, 3, 4, 5)
1 :> 2 :> 3 :> 4 :. 5

Since: 0.1.0

fromIx5 :: Ix5 -> Ix5T Source #

Convert an Ix5 to Int 5-tuple

Example

Expand

>>> fromIx5 (1 :> 2 :> 3 :> 4 :. 5)
(1,2,3,4,5)

Since: 0.1.0

Exceptions

data IndexException where Source #

Exceptions that get thrown when there is a problem with an index, size or dimension.

Since: 0.3.0

Constructors

IndexZeroException :: Index ix => !ix -> IndexException	Index contains a zero value along one of the dimensions.
IndexDimensionException :: (NFData ix, Eq ix, Show ix, Typeable ix) => !ix -> !Dim -> IndexException	Dimension is out of reach.
IndexOutOfBoundsException :: Index ix => !(Sz ix) -> !ix -> IndexException	Index is out of bounds.

Instances

Instances details

Eq IndexException Source #
Instance details Defined in Data.Massiv.Core.Index.Internal Methods (==) :: IndexException -> IndexException -> Bool # (/=) :: IndexException -> IndexException -> Bool #
Show IndexException Source #
Instance details Defined in Data.Massiv.Core.Index.Internal Methods showsPrec :: Int -> IndexException -> ShowS # show :: IndexException -> String # showList :: [IndexException] -> ShowS #
Exception IndexException Source #
Instance details Defined in Data.Massiv.Core.Index.Internal Methods toException :: IndexException -> SomeException # fromException :: SomeException -> Maybe IndexException # displayException :: IndexException -> String #
NFData IndexException Source #
Instance details Defined in Data.Massiv.Core.Index.Internal Methods rnf :: IndexException -> () #

data SizeException where Source #

Exception that indicates an issue with an array size.

Since: 0.3.0

Constructors

SizeMismatchException :: Index ix => !(Sz ix) -> !(Sz ix) -> SizeException	Two sizes are expected to be equal along some or all dimensions, but they are not.
SizeElementsMismatchException :: (Index ix, Index ix') => !(Sz ix) -> !(Sz ix') -> SizeException	Total number of elements does not match between the two sizes.
SizeSubregionException :: Index ix => !(Sz ix) -> !ix -> !(Sz ix) -> SizeException	Described subregion is too big for the specified size.
SizeEmptyException :: Index ix => !(Sz ix) -> SizeException	An array with the size cannot contain any elements.
SizeOverflowException :: Index ix => !(Sz ix) -> SizeException	Total number of elements is too large resulting in overflow. Since: 0.6.0
SizeNegativeException :: Index ix => !(Sz ix) -> SizeException	At least one dimensions contain a negative value. Since: 0.6.0

Instances

Instances details

Eq SizeException Source #
Instance details Defined in Data.Massiv.Core.Index.Internal Methods (==) :: SizeException -> SizeException -> Bool # (/=) :: SizeException -> SizeException -> Bool #
Show SizeException Source #
Instance details Defined in Data.Massiv.Core.Index.Internal Methods showsPrec :: Int -> SizeException -> ShowS # show :: SizeException -> String # showList :: [SizeException] -> ShowS #
Exception SizeException Source #
Instance details Defined in Data.Massiv.Core.Index.Internal Methods toException :: SizeException -> SomeException # fromException :: SomeException -> Maybe SizeException # displayException :: SizeException -> String #
NFData SizeException Source #
Instance details Defined in Data.Massiv.Core.Index.Internal Methods rnf :: SizeException -> () #

data ShapeException Source #

Exception that can happen upon conversion of a ragged type array into the rectangular kind. Which means conversion from lists is susceptible to this exception.

Since: 0.3.0

Constructors

DimTooShortException !Dim !(Sz Ix1) !(Sz Ix1)	Across a specific dimension there was not enough elements for the supplied size
DimTooLongException !Dim !(Sz Ix1) !(Sz Ix1)	Across a specific dimension there was too many elements for the supplied size
ShapeNonEmpty	Expected an empty size, but the shape was not empty.

Instances

Instances details

Eq ShapeException Source #
Instance details Defined in Data.Massiv.Core.Index.Internal Methods (==) :: ShapeException -> ShapeException -> Bool # (/=) :: ShapeException -> ShapeException -> Bool #
Show ShapeException Source #
Instance details Defined in Data.Massiv.Core.Index.Internal Methods showsPrec :: Int -> ShapeException -> ShowS # show :: ShapeException -> String # showList :: [ShapeException] -> ShowS #
Exception ShapeException Source #
Instance details Defined in Data.Massiv.Core.Index.Internal Methods toException :: ShapeException -> SomeException # fromException :: SomeException -> Maybe ShapeException # displayException :: ShapeException -> String #

guardNumberOfElements :: (MonadThrow m, Index ix, Index ix') => Sz ix -> Sz ix' -> m () Source #

Throw SizeElementsMismatchException whenever number of elements in both sizes do not match.

Since: 0.3.5

indexWith Source #

Arguments

:: Index ix
=> String	Source file name, eg. FILE
-> Int	Line number in th source file, eg. LINE
-> String
-> (arr -> Sz ix)	Get size of the array
-> (arr -> ix -> e)	Indexing function
-> arr	Array
-> ix	Index
-> e

This is used by INDEX_CHECK macro and thus used whenever the unsafe-checks cabal flag is on.

Since: 0.4.0