ArrayFire.BLAS

Basic Linear Algebra Subprograms (BLAS) API

main :: IO ()
main = print (matmul x y xProp yProp)
 where
    x,y :: Array Double
    x = matrix (2,3) [[1,2],[3,4],[5,6]]
    y = matrix (3,2) [[1,2,3],[4,5,6]]

    xProp, yProp :: MatProp
    xProp = None
    yProp = None

 ArrayFire Array
 [2 2 1 1]
    22.0000    49.0000
    28.0000    64.0000

Documentation

matmul

Arguments

:: Array a

2D matrix of Array a, left-hand side

-> Array a

2D matrix of Array a, right-hand side

-> MatProp

Left hand side matrix options

-> MatProp

Right hand side matrix options

-> Array a

Output of matmul

The following applies for Sparse-Dense matrix multiplication.

This function can be used with one sparse input. The sparse input must always be the lhs and the dense matrix must be rhs.

The sparse array can only be of CSR format.

The returned array is always dense.

optLhs an only be one of AF_MAT_NONE, AF_MAT_TRANS, AF_MAT_CTRANS.

optRhs can only be AF_MAT_NONE.

>>> matmul (matrix @Double (2,2) [[1,2],[3,4]]) (matrix @Double (2,2) [[1,2],[3,4]]) None None
ArrayFire Array
[2 2 1 1]
    7.0000    15.0000
   10.0000    22.0000

dot

Arguments

:: Array a

Left-hand side input

-> Array a

Right-hand side input

-> MatProp

Options for left-hand side. Currently only AF_MAT_NONE and AF_MAT_CONJ are supported.

-> MatProp

Options for right-hand side. Currently only AF_MAT_NONE and AF_MAT_CONJ are supported.

-> Array a

Output of dot

Scalar dot product between two vectors. Also referred to as the inner product.

>>> dot (vector @Double 10 [1..]) (vector @Double 10 [1..]) None None
ArrayFire Array
[1 1 1 1]
  385.0000

dotAll

Arguments

:: Array a

Left-hand side array

-> Array a

Right-hand side array

-> MatProp

Options for left-hand side. Currently only AF_MAT_NONE and AF_MAT_CONJ are supported.

-> MatProp

Options for right-hand side. Currently only AF_MAT_NONE and AF_MAT_CONJ are supported.

-> Complex Double

Real and imaginary component result

Scalar dot product between two vectors. Also referred to as the inner product. Returns the result as a host scalar.

>>> dotAll (vector @Double 10 [1..]) (vector @Double 10 [1..]) None None
385.0 :+ 0.0

transpose

Arguments

:: Array a

Input matrix to be transposed

-> Bool

Should perform conjugate transposition

-> Array a

The transposed matrix

Transposes a matrix.

>>> array = matrix @Double (2,3) [[2,3],[3,4],[5,6]]
>>> array
ArrayFire Array
[2 3 1 1]
    2.0000     3.0000     5.0000
    3.0000     4.0000     6.0000

>>> transpose array True
ArrayFire Array
[3 2 1 1]
    2.0000     3.0000
    3.0000     4.0000
    5.0000     6.0000

transposeInPlace

Arguments

:: Array a

Input matrix to be transposed

-> Bool

Should perform conjugate transposition

-> IO ()

Transposes a matrix.

• Warning: This function mutates an array in-place, all subsequent references will be changed. Use carefully.

>>> array = matrix @Double (2,2) [[1,2],[3,4]]
>>> array
ArrayFire Array
[3 2 1 1]
   1.0000     4.0000
   2.0000     5.0000
   3.0000     6.0000

>>> transposeInPlace array False
>>> array
ArrayFire Array
[2 2 1 1]
   1.0000     2.0000
   3.0000     4.0000