blas-0.4.1: Bindings to the BLAS library Source code Contents Index

Data.Matrix.Dense.Operations Stability experimental Maintainer Patrick Perry <patperry@stanford.edu>

Contents Copy and swap Matrix multiplication Pure Impure Matrix Arithmetic Pure Impure In-place operations BLAS operations

Description

Synopsis

copyMatrix :: BLAS1 e => IOMatrix (m, n) e -> DMatrix t (m, n) e -> IO () swapMatrices :: BLAS1 e => IOMatrix (m, n) e -> IOMatrix (m, n) e -> IO () apply :: BLAS2 e => Matrix (m, n) e -> Vector n e -> Vector m e applyMat :: BLAS3 e => Matrix (m, k) e -> Matrix (k, n) e -> Matrix (m, n) e sapply :: BLAS2 e => e -> Matrix (m, n) e -> Vector n e -> Vector m e sapplyMat :: BLAS3 e => e -> Matrix (m, k) e -> Matrix (k, n) e -> Matrix (m, n) e getApply :: BLAS2 e => DMatrix s (m, n) e -> DVector t n e -> IO (DVector r m e) getApplyMat :: BLAS3 e => DMatrix s (m, k) e -> DMatrix t (k, n) e -> IO (DMatrix r (m, n) e) getSApply :: BLAS2 e => e -> DMatrix s (m, n) e -> DVector t n e -> IO (DVector r m e) getSApplyMat :: BLAS3 e => e -> DMatrix s (m, k) e -> DMatrix t (k, n) e -> IO (DMatrix r (m, n) e) shift :: BLAS1 e => e -> Matrix (m, n) e -> Matrix (m, n) e scale :: BLAS1 e => e -> Matrix (m, n) e -> Matrix (m, n) e invScale :: BLAS1 e => e -> Matrix (m, n) e -> Matrix (m, n) e add :: BLAS1 e => e -> Matrix (m, n) e -> e -> Matrix (m, n) e -> Matrix (m, n) e plus :: BLAS1 e => Matrix (m, n) e -> Matrix (m, n) e -> Matrix (m, n) e minus :: BLAS1 e => Matrix (m, n) e -> Matrix (m, n) e -> Matrix (m, n) e times :: BLAS2 e => Matrix (m, n) e -> Matrix (m, n) e -> Matrix (m, n) e divide :: BLAS2 e => Matrix (m, n) e -> Matrix (m, n) e -> Matrix (m, n) e getShifted :: BLAS1 e => e -> DMatrix t (m, n) e -> IO (DMatrix r (m, n) e) getScaled :: BLAS1 e => e -> DMatrix t (m, n) e -> IO (DMatrix r (m, n) e) getInvScaled :: BLAS1 e => e -> DMatrix t (m, n) e -> IO (DMatrix r (m, n) e) getSum :: BLAS1 e => e -> DMatrix s (m, n) e -> e -> DMatrix t (m, n) e -> IO (DMatrix r (m, n) e) getDiff :: BLAS1 e => DMatrix s (m, n) e -> DMatrix t (m, n) e -> IO (DMatrix r (m, n) e) getProduct :: BLAS2 e => DMatrix s (m, n) e -> DMatrix t (m, n) e -> IO (DMatrix r (m, n) e) getRatio :: BLAS2 e => DMatrix s (m, n) e -> DMatrix t (m, n) e -> IO (DMatrix r (m, n) e) doConj :: BLAS1 e => IOMatrix (m, n) e -> IO (IOMatrix (m, n) e) shiftBy :: BLAS1 e => e -> IOMatrix (m, n) e -> IO () scaleBy :: BLAS1 e => e -> IOMatrix (m, n) e -> IO () invScaleBy :: BLAS1 e => e -> IOMatrix (m, n) e -> IO () axpy :: BLAS1 e => e -> DMatrix t (m, n) e -> IOMatrix (m, n) e -> IO () (+=) :: BLAS1 e => IOMatrix (m, n) e -> DMatrix t (m, n) e -> IO () (-=) :: BLAS1 e => IOMatrix (m, n) e -> DMatrix t (m, n) e -> IO () (*=) :: BLAS2 e => IOMatrix (m, n) e -> DMatrix t (m, n) e -> IO () (//=) :: BLAS2 e => IOMatrix (m, n) e -> DMatrix t (m, n) e -> IO () gemv :: BLAS2 e => e -> DMatrix s (m, n) e -> DVector t n e -> e -> IOVector m e -> IO () gemm :: BLAS3 e => e -> DMatrix s (m, k) e -> DMatrix t (k, n) e -> e -> IOMatrix (m, n) e -> IO ()

Copy and swap

copyMatrix :: BLAS1 e => IOMatrix (m, n) e -> DMatrix t (m, n) e -> IO () Source

copy dst src copies the elements from the second argument to the first.

swapMatrices :: BLAS1 e => IOMatrix (m, n) e -> IOMatrix (m, n) e -> IO () Source

swap a b exchanges the elements stored in two matrices.

Matrix multiplication

Pure

apply :: BLAS2 e => Matrix (m, n) e -> Vector n e -> Vector m e Source

Multiply a matrix by a vector.

applyMat :: BLAS3 e => Matrix (m, k) e -> Matrix (k, n) e -> Matrix (m, n) e Source

Multiply a matrix by a matrix.

sapply :: BLAS2 e => e -> Matrix (m, n) e -> Vector n e -> Vector m e Source

Multiply a scaled matrix by a vector.

sapplyMat :: BLAS3 e => e -> Matrix (m, k) e -> Matrix (k, n) e -> Matrix (m, n) e Source

Multiply a scaled matrix by a matrix.

Impure

getApply :: BLAS2 e => DMatrix s (m, n) e -> DVector t n e -> IO (DVector r m e) Source

Multiply a matrix by a vector.

getApplyMat :: BLAS3 e => DMatrix s (m, k) e -> DMatrix t (k, n) e -> IO (DMatrix r (m, n) e) Source

Multiply a matrix by a matrix.

getSApply :: BLAS2 e => e -> DMatrix s (m, n) e -> DVector t n e -> IO (DVector r m e) Source

Multiply a scaled matrix by a vector.

getSApplyMat :: BLAS3 e => e -> DMatrix s (m, k) e -> DMatrix t (k, n) e -> IO (DMatrix r (m, n) e) Source

Multiply a scaled matrix by a matrix.

Matrix Arithmetic

Pure

shift :: BLAS1 e => e -> Matrix (m, n) e -> Matrix (m, n) e Source

Form a new matrix by adding a value to every element in a matrix.

scale :: BLAS1 e => e -> Matrix (m, n) e -> Matrix (m, n) e Source

Create a new matrix by scaling another matrix by the given value.

invScale :: BLAS1 e => e -> Matrix (m, n) e -> Matrix (m, n) e Source

Form a new matrix by dividing every element by a value.

add :: BLAS1 e => e -> Matrix (m, n) e -> e -> Matrix (m, n) e -> Matrix (m, n) e Source

Create a new matrix by taking the elementwise sum of two matrices.

plus :: BLAS1 e => Matrix (m, n) e -> Matrix (m, n) e -> Matrix (m, n) e Source

Create a new matrix by taking the elementwise sum of two matrices.

minus :: BLAS1 e => Matrix (m, n) e -> Matrix (m, n) e -> Matrix (m, n) e Source

Create a new matrix by taking the elementwise difference of two matrices.

times :: BLAS2 e => Matrix (m, n) e -> Matrix (m, n) e -> Matrix (m, n) e Source

Create a new matrix by taking the elementwise product of two matrices.

divide :: BLAS2 e => Matrix (m, n) e -> Matrix (m, n) e -> Matrix (m, n) e Source

Create a new matrix by taking the elementwise ratio of two matrices.

Impure

getShifted :: BLAS1 e => e -> DMatrix t (m, n) e -> IO (DMatrix r (m, n) e) Source

Form a new matrix by adding a value to every element in a matrix.

getScaled :: BLAS1 e => e -> DMatrix t (m, n) e -> IO (DMatrix r (m, n) e) Source

Form a new matrix by multiplying every element by a value.

getInvScaled :: BLAS1 e => e -> DMatrix t (m, n) e -> IO (DMatrix r (m, n) e) Source

Form a new matrix by dividing every element by a value.

getSum :: BLAS1 e => e -> DMatrix s (m, n) e -> e -> DMatrix t (m, n) e -> IO (DMatrix r (m, n) e) Source

Create a new matrix by taking the elementwise sum of two matrices.

getDiff :: BLAS1 e => DMatrix s (m, n) e -> DMatrix t (m, n) e -> IO (DMatrix r (m, n) e) Source

Create a new matrix by taking the elementwise difference of two matrices.

getProduct :: BLAS2 e => DMatrix s (m, n) e -> DMatrix t (m, n) e -> IO (DMatrix r (m, n) e) Source

Create a new matrix by taking the elementwise product of two matrices.

getRatio :: BLAS2 e => DMatrix s (m, n) e -> DMatrix t (m, n) e -> IO (DMatrix r (m, n) e) Source

Create a new matrix by taking the elementwise ratio of two matrices.

In-place operations

doConj :: BLAS1 e => IOMatrix (m, n) e -> IO (IOMatrix (m, n) e) Source

Conjugate every element in a matrix.

shiftBy :: BLAS1 e => e -> IOMatrix (m, n) e -> IO () Source

Scale every element by the given value.

scaleBy :: BLAS1 e => e -> IOMatrix (m, n) e -> IO () Source

Scale every element in a matrix by the given value.

invScaleBy :: BLAS1 e => e -> IOMatrix (m, n) e -> IO () Source

Divide every element by the given value.

axpy :: BLAS1 e => e -> DMatrix t (m, n) e -> IOMatrix (m, n) e -> IO () Source

(+=) :: BLAS1 e => IOMatrix (m, n) e -> DMatrix t (m, n) e -> IO () Source

In-place elementwise add.

(-=) :: BLAS1 e => IOMatrix (m, n) e -> DMatrix t (m, n) e -> IO () Source

In-place elementwise subtract.

(*=) :: BLAS2 e => IOMatrix (m, n) e -> DMatrix t (m, n) e -> IO () Source

In-place elementwise product.

(//=) :: BLAS2 e => IOMatrix (m, n) e -> DMatrix t (m, n) e -> IO () Source

In-place elementwise divide.

BLAS operations

gemv :: BLAS2 e => e -> DMatrix s (m, n) e -> DVector t n e -> e -> IOVector m e -> IO () Source

gemv alpha a x beta y replaces y := alpha a * x + beta y

gemm :: BLAS3 e => e -> DMatrix s (m, k) e -> DMatrix t (k, n) e -> e -> IOMatrix (m, n) e -> IO () Source

gemm alpha a b beta c replaces c := alpha a * b + beta c.

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