Feldspar.Matrix

Operations on matrices (doubly-nested parallel vectors). All operations in this module assume rectangular matrices.

Documentation

type Matrix a = Vector (Vector (Data a))

freezeMatrix :: Type a => Matrix a -> Data [[a]]

Converts a matrix to a core array.

unfreezeMatrix :: Type a => Data [[a]] -> Matrix a

Converts a core array to a matrix.

unfreezeMatrix' :: Type a => Length -> Length -> Data [[a]] -> Matrix a

Converts a core array to a matrix. The first length argument is the number of rows (outer vector), and the second argument is the number of columns (inner argument).

matrix :: Type a => [[a]] -> Matrix a

Constructs a matrix. The elements are stored in a core array.

indexedMat :: Data Length -> Data Length -> (Data Index -> Data Index -> Data a) -> Matrix a

Constructing a matrix from an index function.

indexedMat m n ixf:

• m is the number of rows.
• n is the number of columns.
• ifx is a function mapping indexes to elements (first argument is row index; second argument is column index).

transpose :: Type a => Matrix a -> Matrix a

Transpose of a matrix

flatten :: Type a => Matrix a -> Vector (Data a)

Concatenates the rows of a matrix.

diagonal :: Type a => Matrix a -> Vector (Data a)

The diagonal vector of a square matrix. It happens to work if the number of rows is less than the number of columns, but not the other way around (this would require some overhead).

distributeL :: (a -> b -> c) -> a -> Vector b -> Vector c

distributeR :: (a -> b -> c) -> Vector a -> b -> Vector c

class Mul a b where

Associated Types

type Prod a b

Methods

(***) :: a -> b -> Prod a b

General multiplication operator

Instances

Numeric a => Mul (Data a) (Matrix a)

Numeric a => Mul (Data a) (DVector a)

Numeric a => Mul (Data a) (Data a)

Numeric a => Mul (DVector a) (Matrix a)

Numeric a => Mul (DVector a) (DVector a)

Numeric a => Mul (DVector a) (Data a)

Numeric a => Mul (Matrix a) (Matrix a)

Numeric a => Mul (Matrix a) (DVector a)

Numeric a => Mul (Matrix a) (Data a)

mulMat :: Numeric a => Matrix a -> Matrix a -> Matrix a

Matrix multiplication

class Syntactic a => ElemWise a where

Associated Types

type Elem a

Methods

elemWise :: (Elem a -> Elem a -> Elem a) -> a -> a -> a

Operator for general element-wise multiplication

Instances

Type a => ElemWise (Data a)

(ElemWise a, Syntactic (Vector a)) => ElemWise (Vector a)

(.+) :: (ElemWise a, Num (Elem a)) => a -> a -> a

(.-) :: (ElemWise a, Num (Elem a)) => a -> a -> a

(.*) :: (ElemWise a, Num (Elem a)) => a -> a -> a

Wrapping for matrices