Safe Haskell	None
Language	Haskell2010

Algebra.Matrix.IntMap

Synopsis

data IMMatrix a
data MIMMatrix s a

Documentation

data IMMatrix a Source #

Sparse matrix represented by a finite map from index to an element.

Instances

Instances details

DecidableZero a => Matrix IMMatrix a Source #
Instance details Defined in Algebra.Matrix.IntMap Methods basicRowCount :: IMMatrix a -> Size Source # basicColumnCount :: IMMatrix a -> Size Source # unsafeFreeze :: PrimMonad m => Mutable IMMatrix (PrimState m) a -> m (IMMatrix a) Source # unsafeThaw :: PrimMonad m => IMMatrix a -> m (Mutable IMMatrix (PrimState m) a) Source # basicUnsafeIndexM :: Monad m => IMMatrix a -> Index -> Index -> m a Source # basicUnsafeGetRowM :: Monad m => IMMatrix a -> Index -> m (Row IMMatrix a) Source # basicUnsafeGetColumnM :: Monad m => IMMatrix a -> Index -> m (Column IMMatrix a) Source # basicUnsafeCopy :: PrimMonad m => Mutable IMMatrix (PrimState m) a -> IMMatrix a -> m () Source # unsafeGenerate :: Size -> Size -> (Index -> Index -> a) -> IMMatrix a Source # unsafeWrite :: IMMatrix a -> Index -> Index -> a -> IMMatrix a Source # unsafeFromRows :: [Row IMMatrix a] -> IMMatrix a Source # unsafeFromColumns :: [Column IMMatrix a] -> IMMatrix a Source # toRows :: IMMatrix a -> [Row IMMatrix a] Source # toColumns :: IMMatrix a -> [Column IMMatrix a] Source # swapRows :: IMMatrix a -> Index -> Index -> IMMatrix a Source # scaleRow :: IMMatrix a -> Index -> a -> IMMatrix a Source # unsafeIMapRowM :: Monad m => IMMatrix a -> Index -> (Index -> a -> m a) -> m (IMMatrix a) Source # unsafeIMapRowM_ :: Monad m => IMMatrix a -> Index -> (Index -> a -> m b) -> m () Source # unsafeIMapRow :: IMMatrix a -> Index -> (Index -> a -> a) -> IMMatrix a Source # combineRows :: Index -> a -> Index -> IMMatrix a -> IMMatrix a Source # gaussReduction :: IMMatrix a -> (IMMatrix a, IMMatrix a, a) Source #
Eq a => Eq (IMMatrix a) Source #
Instance details Defined in Algebra.Matrix.IntMap Methods (==) :: IMMatrix a -> IMMatrix a -> Bool # (/=) :: IMMatrix a -> IMMatrix a -> Bool #
Ord a => Ord (IMMatrix a) Source #
Instance details Defined in Algebra.Matrix.IntMap Methods compare :: IMMatrix a -> IMMatrix a -> Ordering # (<) :: IMMatrix a -> IMMatrix a -> Bool # (<=) :: IMMatrix a -> IMMatrix a -> Bool # (>) :: IMMatrix a -> IMMatrix a -> Bool # (>=) :: IMMatrix a -> IMMatrix a -> Bool # max :: IMMatrix a -> IMMatrix a -> IMMatrix a # min :: IMMatrix a -> IMMatrix a -> IMMatrix a #
(DecidableZero a, Show a) => Show (IMMatrix a) Source #
Instance details Defined in Algebra.Matrix.IntMap Methods showsPrec :: Int -> IMMatrix a -> ShowS # show :: IMMatrix a -> String # showList :: [IMMatrix a] -> ShowS #
(Ring a, DecidableZero a) => Multiplicative (IMMatrix a) Source #
Instance details Defined in Algebra.Matrix.IntMap Methods (*) :: IMMatrix a -> IMMatrix a -> IMMatrix a # pow1p :: IMMatrix a -> Natural -> IMMatrix a # productWith1 :: Foldable1 f => (a0 -> IMMatrix a) -> f a0 -> IMMatrix a #
DecidableZero a => Additive (IMMatrix a) Source #
Instance details Defined in Algebra.Matrix.IntMap Methods (+) :: IMMatrix a -> IMMatrix a -> IMMatrix a # sinnum1p :: Natural -> IMMatrix a -> IMMatrix a # sumWith1 :: Foldable1 f => (a0 -> IMMatrix a) -> f a0 -> IMMatrix a #
NFData a => NFData (IMMatrix a) Source #
Instance details Defined in Algebra.Matrix.IntMap Methods rnf :: IMMatrix a -> () #
type Mutable IMMatrix Source #
Instance details Defined in Algebra.Matrix.IntMap type Mutable IMMatrix = MIMMatrix
type Row IMMatrix Source #
Instance details Defined in Algebra.Matrix.IntMap type Row IMMatrix = Vector
type Column IMMatrix Source #
Instance details Defined in Algebra.Matrix.IntMap type Column IMMatrix = Vector

data MIMMatrix s a Source #

Mutable version of IMMatrix, but the same.

Instances

Instances details

DecidableZero a => MMatrix MIMMatrix a Source #
Instance details Defined in Algebra.Matrix.IntMap Methods basicUnsafeNew :: PrimMonad m => Size -> Size -> m (MIMMatrix (PrimState m) a) Source # basicInitialise :: PrimMonad m => MIMMatrix (PrimState m) a -> m () Source # basicRowCount :: MIMMatrix s a -> Size Source # basicColumnCount :: MIMMatrix s a -> Size Source # unsafeGetRow :: PrimMonad m => Index -> MIMMatrix (PrimState m) a -> m (Row MIMMatrix a) Source # unsafeGetColumn :: PrimMonad m => Index -> MIMMatrix (PrimState m) a -> m (Column MIMMatrix a) Source # unsafeFill :: PrimMonad m => Size -> Size -> a -> m (MIMMatrix (PrimState m) a) Source # unsafeFromRow :: PrimMonad m => Row MIMMatrix a -> m (MIMMatrix (PrimState m) a) Source # unsafeFromRows :: PrimMonad m => [Row MIMMatrix a] -> m (MIMMatrix (PrimState m) a) Source # unsafeFromColumn :: PrimMonad m => Column MIMMatrix a -> m (MIMMatrix (PrimState m) a) Source # unsafeFromColumns :: PrimMonad m => [Column MIMMatrix a] -> m (MIMMatrix (PrimState m) a) Source # unsafeCopy :: PrimMonad m => MIMMatrix (PrimState m) a -> MIMMatrix (PrimState m) a -> m () Source # unsafeRead :: PrimMonad m => MIMMatrix (PrimState m) a -> Index -> Index -> m a Source # unsafeWrite :: PrimMonad m => MIMMatrix (PrimState m) a -> Index -> Index -> a -> m () Source # basicSet :: PrimMonad m => MIMMatrix (PrimState m) a -> a -> m () Source # basicUnsafeIMapRowM :: PrimMonad m => MIMMatrix (PrimState m) a -> Index -> (Index -> a -> m a) -> m () Source # basicUnsafeIMapRow :: PrimMonad m => MIMMatrix (PrimState m) a -> Index -> (Index -> a -> a) -> m () Source # basicUnsafeSwapRows :: PrimMonad m => MIMMatrix (PrimState m) a -> Index -> Index -> m () Source # unsafeScaleRow :: (PrimMonad m, Commutative a) => MIMMatrix (PrimState m) a -> Index -> a -> m () Source # unsafeGenerate :: PrimMonad m => Size -> Size -> (Index -> Index -> a) -> m (MIMMatrix (PrimState m) a) Source # unsafeGenerateM :: PrimMonad m => Size -> Size -> (Index -> Index -> m a) -> m (MIMMatrix (PrimState m) a) Source # toRows :: PrimMonad m => MIMMatrix (PrimState m) a -> m [Row MIMMatrix a] Source # toColumns :: PrimMonad m => MIMMatrix (PrimState m) a -> m [Column MIMMatrix a] Source # combineRows :: (Semiring a, Commutative a, PrimMonad m) => Index -> a -> Index -> MIMMatrix (PrimState m) a -> m () Source #
type Row MIMMatrix Source #
Instance details Defined in Algebra.Matrix.IntMap type Row MIMMatrix = Vector
type Column MIMMatrix Source #
Instance details Defined in Algebra.Matrix.IntMap type Column MIMMatrix = Vector