Package org.flag4j.operations.dense.real_complex

Class RealComplexDenseMatrixMultiplication

java.lang.Object

org.flag4j.operations.dense.real_complex.RealComplexDenseMatrixMultiplication

public final class RealComplexDenseMatrixMultiplication
extends Object

This class contains several low level methods for computing real/complex matrix-matrix multiplications. This includes transpose multiplications.
WARNING: These methods do not perform any sanity checks.

Constructor Summary

Constructors

Modifier	Constructor	Description
private	RealComplexDenseMatrixMultiplication()

Method Summary

Modifier and Type	Method	Description
static CNumber[]	blocked(double[] src1, Shape shape1, CNumber[] src2, Shape shape2)	Computes the matrix multiplication of a real dense matrix with a complex dense matrix using a blocked algorithm.
static CNumber[]	blocked(CNumber[] src1, Shape shape1, double[] src2, Shape shape2)	Computes the matrix multiplication of a real dense matrix with a complex dense matrix using a blocked algorithm.
static CNumber[]	blockedReordered(double[] src1, Shape shape1, CNumber[] src2, Shape shape2)	Computes the matrix multiplication of a real dense matrix with a complex dense matrix using a blocked algorithm with the j-k loops swapped.
static CNumber[]	blockedReordered(CNumber[] src1, Shape shape1, double[] src2, Shape shape2)	Computes the matrix multiplication of a real dense matrix with a complex dense matrix using a blocked algorithm with the j-k loops swapped.
static CNumber[]	blockedVector(double[] src1, Shape shape1, CNumber[] src2, Shape shape2)	Computes the multiplication of a real dense matrix with a complex dense vector using a blocked algorithm.
static CNumber[]	blockedVector(CNumber[] src1, Shape shape1, double[] src2, Shape shape2)	Computes the multiplication of a real dense matrix with a complex dense vector using a blocked algorithm.
static CNumber[]	concurrentBlocked(double[] src1, Shape shape1, CNumber[] src2, Shape shape2)	Computes the matrix multiplication of a real dense matrix with a complex dense matrix using a concurrent implementation of a blocked algorithm.
static CNumber[]	concurrentBlocked(CNumber[] src1, Shape shape1, double[] src2, Shape shape2)	Computes the matrix multiplication of a real dense matrix with a complex dense matrix using a concurrent implementation of a blocked algorithm.
static CNumber[]	concurrentBlockedReordered(double[] src1, Shape shape1, CNumber[] src2, Shape shape2)	Computes the matrix multiplication of a real dense matrix with a complex dense matrix using a concurrent implementation of a blocked algorithm with the j-k loops swapped.
static CNumber[]	concurrentBlockedReordered(CNumber[] src1, Shape shape1, double[] src2, Shape shape2)	Computes the matrix multiplication of a real dense matrix with a complex dense matrix using a concurrent implementation of a blocked algorithm with the j-k loops swapped.
static CNumber[]	concurrentBlockedVector(double[] src1, Shape shape1, CNumber[] src2, Shape shape2)	Computes the multiplication of a real dense matrix with a complex dense vector using a concurrent implementation of a blocked algorithm.
static CNumber[]	concurrentBlockedVector(CNumber[] src1, Shape shape1, double[] src2, Shape shape2)	Computes the multiplication of a real dense matrix with a complex dense vector using a concurrent implementation of a blocked algorithm.
static CNumber[]	concurrentReordered(double[] src1, Shape shape1, CNumber[] src2, Shape shape2)	Computes the matrix multiplication of a real dense matrix with a complex dense matrix using a concurrent implementation of the standard matrix multiplication algorithm with j-k loops swapped.
static CNumber[]	concurrentReordered(CNumber[] src1, Shape shape1, double[] src2, Shape shape2)	Computes the matrix multiplication of a real dense matrix with a complex dense matrix using a concurrent implementation of the standard matrix multiplication algorithm with j-k loops swapped.
static CNumber[]	concurrentStandard(double[] src1, Shape shape1, CNumber[] src2, Shape shape2)	Computes the matrix multiplication of a real dense matrix with a complex dense matrix using a concurrent implementation of the standard matrix multiplication algorithm.
static CNumber[]	concurrentStandard(CNumber[] src1, Shape shape1, double[] src2, Shape shape2)	Computes the matrix multiplication of a real dense matrix with a complex dense matrix using a concurrent implementation of the standard matrix multiplication algorithm.
static CNumber[]	concurrentStandardVector(double[] src1, Shape shape1, CNumber[] src2, Shape shape2)	Computes the multiplication of a real dense matrix with a complex dense vector using a concurrent implementation of the standard matrix multiplication algorithm.
static CNumber[]	concurrentStandardVector(CNumber[] src1, Shape shape1, double[] src2, Shape shape2)	Computes the multiplication of a real dense matrix with a complex dense vector using a concurrent implementation of the standard matrix multiplication algorithm.
static CNumber[]	reordered(double[] src1, Shape shape1, CNumber[] src2, Shape shape2)	Computes the matrix multiplication between a real dense matrix with a complex dense matrix using the standard algorithm with j-k loops swapped.
static CNumber[]	reordered(CNumber[] src1, Shape shape1, double[] src2, Shape shape2)	Computes the matrix multiplication between a real dense matrix with a complex dense matrix using the standard algorithm with j-k loops swapped.
static CNumber[]	standard(double[] src1, Shape shape1, CNumber[] src2, Shape shape2)	Computes the matrix multiplication between a real dense matrix with a complex dense matrix using the standard algorithm.
static CNumber[]	standard(CNumber[] src1, Shape shape1, double[] src2, Shape shape2)	Computes the matrix multiplication between a real dense matrix with a complex dense matrix using the standard algorithm.
static CNumber[]	standardVector(double[] src1, Shape shape1, CNumber[] src2, Shape shape2)	Computes the multiplication of a real dense matrix with a complex dense vector using the standard algorithm.
static CNumber[]	standardVector(CNumber[] src1, Shape shape1, double[] src2, Shape shape2)	Computes the multiplication of a real dense matrix with a complex dense vector using the standard algorithm.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Details

RealComplexDenseMatrixMultiplication

private RealComplexDenseMatrixMultiplication()

Method Details

standard

public static CNumber[] standard(double[] src1,
 Shape shape1,
 CNumber[] src2,
 Shape shape2)

Computes the matrix multiplication between a real dense matrix with a complex dense matrix using the standard algorithm.

Parameters:

src1 - Entries of the first matrix.

shape1 - Shape of the first matrix.

src2 - Entries of the second matrix.

shape2 - Shape fo the second matrix.

Returns:

The result of matrix multiplying the two matrices.

reordered

public static CNumber[] reordered(double[] src1,
 Shape shape1,
 CNumber[] src2,
 Shape shape2)

Computes the matrix multiplication between a real dense matrix with a complex dense matrix using the standard algorithm with j-k loops swapped.

Parameters:

src1 - Entries of the first matrix.

shape1 - Shape of the first matrix.

src2 - Entries of the second matrix.

shape2 - Shape fo the second matrix.

Returns:

The result of matrix multiplying the two matrices.

blocked

public static CNumber[] blocked(double[] src1,
 Shape shape1,
 CNumber[] src2,
 Shape shape2)

Computes the matrix multiplication of a real dense matrix with a complex dense matrix using a blocked algorithm.

Parameters:

src1 - Entries of the first matrix.

shape1 - Shape of the first matrix.

src2 - Entries of the second matrix.

shape2 - Shape fo the second matrix.

Returns:

The result of matrix multiplying the two matrices.

blockedReordered

public static CNumber[] blockedReordered(double[] src1,
 Shape shape1,
 CNumber[] src2,
 Shape shape2)

Computes the matrix multiplication of a real dense matrix with a complex dense matrix using a blocked algorithm with the j-k loops swapped.

Parameters:

src1 - Entries of the first matrix.

shape1 - Shape of the first matrix.

src2 - Entries of the second matrix.

shape2 - Shape fo the second matrix.

Returns:

The result of matrix multiplying the two matrices.

concurrentStandard

public static CNumber[] concurrentStandard(double[] src1,
 Shape shape1,
 CNumber[] src2,
 Shape shape2)

Computes the matrix multiplication of a real dense matrix with a complex dense matrix using a concurrent implementation of the standard matrix multiplication algorithm.

Parameters:

src1 - Entries of the first matrix.

shape1 - Shape of the first matrix.

src2 - Entries of the second matrix.

shape2 - Shape fo the second matrix.

Returns:

The result of matrix multiplying the two matrices.

concurrentReordered

public static CNumber[] concurrentReordered(double[] src1,
 Shape shape1,
 CNumber[] src2,
 Shape shape2)

Computes the matrix multiplication of a real dense matrix with a complex dense matrix using a concurrent implementation of the standard matrix multiplication algorithm with j-k loops swapped.

Parameters:

src1 - Entries of the first matrix.

shape1 - Shape of the first matrix.

src2 - Entries of the second matrix.

shape2 - Shape fo the second matrix.

Returns:

The result of matrix multiplying the two matrices.

concurrentBlocked

public static CNumber[] concurrentBlocked(double[] src1,
 Shape shape1,
 CNumber[] src2,
 Shape shape2)

Computes the matrix multiplication of a real dense matrix with a complex dense matrix using a concurrent implementation of a blocked algorithm.

Parameters:

src1 - Entries of the first matrix.

shape1 - Shape of the first matrix.

src2 - Entries of the second matrix.

shape2 - Shape fo the second matrix.

Returns:

The result of matrix multiplying the two matrices.

concurrentBlockedReordered

public static CNumber[] concurrentBlockedReordered(double[] src1,
 Shape shape1,
 CNumber[] src2,
 Shape shape2)

Computes the matrix multiplication of a real dense matrix with a complex dense matrix using a concurrent implementation of a blocked algorithm with the j-k loops swapped.

Parameters:

src1 - Entries of the first matrix.

shape1 - Shape of the first matrix.

src2 - Entries of the second matrix.

shape2 - Shape fo the second matrix.

Returns:

The result of matrix multiplying the two matrices.

standardVector

public static CNumber[] standardVector(double[] src1,
 Shape shape1,
 CNumber[] src2,
 Shape shape2)

Computes the multiplication of a real dense matrix with a complex dense vector using the standard algorithm.

Parameters:

src1 - Entries of the first matrix.

shape1 - Shape of the first matrix.

src2 - Entries of the second matrix.

shape2 - Shape fo the second matrix.

Returns:

The result of matrix multiplying the two matrices.

blockedVector

public static CNumber[] blockedVector(double[] src1,
 Shape shape1,
 CNumber[] src2,
 Shape shape2)

Computes the multiplication of a real dense matrix with a complex dense vector using a blocked algorithm.

Parameters:

src1 - Entries of the first matrix.

shape1 - Shape of the first matrix.

src2 - Entries of the second matrix.

shape2 - Shape fo the second matrix.

Returns:

The result of matrix multiplying the two matrices.

concurrentStandardVector

public static CNumber[] concurrentStandardVector(double[] src1,
 Shape shape1,
 CNumber[] src2,
 Shape shape2)

Computes the multiplication of a real dense matrix with a complex dense vector using a concurrent implementation of the standard matrix multiplication algorithm.

Parameters:

src1 - Entries of the first matrix.

shape1 - Shape of the first matrix.

src2 - Entries of the second matrix.

shape2 - Shape fo the second matrix.

Returns:

The result of matrix multiplying the two matrices.

concurrentBlockedVector

public static CNumber[] concurrentBlockedVector(double[] src1,
 Shape shape1,
 CNumber[] src2,
 Shape shape2)

Computes the multiplication of a real dense matrix with a complex dense vector using a concurrent implementation of a blocked algorithm.

Parameters:

src1 - Entries of the first matrix.

shape1 - Shape of the first matrix.

src2 - Entries of the second matrix.

shape2 - Shape fo the second matrix.

Returns:

The result of matrix multiplying the two matrices.

standard

public static CNumber[] standard(CNumber[] src1,
 Shape shape1,
 double[] src2,
 Shape shape2)

Computes the matrix multiplication between a real dense matrix with a complex dense matrix using the standard algorithm.

Parameters:

src1 - Entries of the first matrix.

shape1 - Shape of the first matrix.

src2 - Entries of the second matrix.

shape2 - Shape fo the second matrix.

Returns:

The result of matrix multiplying the two matrices.

reordered

public static CNumber[] reordered(CNumber[] src1,
 Shape shape1,
 double[] src2,
 Shape shape2)

Computes the matrix multiplication between a real dense matrix with a complex dense matrix using the standard algorithm with j-k loops swapped.

Parameters:

src1 - Entries of the first matrix.

shape1 - Shape of the first matrix.

src2 - Entries of the second matrix.

shape2 - Shape fo the second matrix.

Returns:

The result of matrix multiplying the two matrices.

blocked

public static CNumber[] blocked(CNumber[] src1,
 Shape shape1,
 double[] src2,
 Shape shape2)

Computes the matrix multiplication of a real dense matrix with a complex dense matrix using a blocked algorithm.

Parameters:

src1 - Entries of the first matrix.

shape1 - Shape of the first matrix.

src2 - Entries of the second matrix.

shape2 - Shape fo the second matrix.

Returns:

The result of matrix multiplying the two matrices.

blockedReordered

public static CNumber[] blockedReordered(CNumber[] src1,
 Shape shape1,
 double[] src2,
 Shape shape2)

Computes the matrix multiplication of a real dense matrix with a complex dense matrix using a blocked algorithm with the j-k loops swapped.

Parameters:

src1 - Entries of the first matrix.

shape1 - Shape of the first matrix.

src2 - Entries of the second matrix.

shape2 - Shape fo the second matrix.

Returns:

The result of matrix multiplying the two matrices.

concurrentStandard

public static CNumber[] concurrentStandard(CNumber[] src1,
 Shape shape1,
 double[] src2,
 Shape shape2)

Computes the matrix multiplication of a real dense matrix with a complex dense matrix using a concurrent implementation of the standard matrix multiplication algorithm.

Parameters:

src1 - Entries of the first matrix.

shape1 - Shape of the first matrix.

src2 - Entries of the second matrix.

shape2 - Shape fo the second matrix.

Returns:

The result of matrix multiplying the two matrices.

concurrentReordered

public static CNumber[] concurrentReordered(CNumber[] src1,
 Shape shape1,
 double[] src2,
 Shape shape2)

Computes the matrix multiplication of a real dense matrix with a complex dense matrix using a concurrent implementation of the standard matrix multiplication algorithm with j-k loops swapped.

Parameters:

src1 - Entries of the first matrix.

shape1 - Shape of the first matrix.

src2 - Entries of the second matrix.

shape2 - Shape fo the second matrix.

Returns:

The result of matrix multiplying the two matrices.

concurrentBlocked

public static CNumber[] concurrentBlocked(CNumber[] src1,
 Shape shape1,
 double[] src2,
 Shape shape2)

Computes the matrix multiplication of a real dense matrix with a complex dense matrix using a concurrent implementation of a blocked algorithm.

Parameters:

src1 - Entries of the first matrix.

shape1 - Shape of the first matrix.

src2 - Entries of the second matrix.

shape2 - Shape fo the second matrix.

Returns:

The result of matrix multiplying the two matrices.

concurrentBlockedReordered

public static CNumber[] concurrentBlockedReordered(CNumber[] src1,
 Shape shape1,
 double[] src2,
 Shape shape2)

Computes the matrix multiplication of a real dense matrix with a complex dense matrix using a concurrent implementation of a blocked algorithm with the j-k loops swapped.

Parameters:

src1 - Entries of the first matrix.

shape1 - Shape of the first matrix.

src2 - Entries of the second matrix.

shape2 - Shape fo the second matrix.

Returns:

The result of matrix multiplying the two matrices.

standardVector

public static CNumber[] standardVector(CNumber[] src1,
 Shape shape1,
 double[] src2,
 Shape shape2)

Computes the multiplication of a real dense matrix with a complex dense vector using the standard algorithm.

Parameters:

src1 - Entries of the first matrix.

shape1 - Shape of the first matrix.

src2 - Entries of the second matrix.

shape2 - Shape fo the second matrix.

Returns:

The result of matrix multiplying the two matrices.

blockedVector

public static CNumber[] blockedVector(CNumber[] src1,
 Shape shape1,
 double[] src2,
 Shape shape2)

Computes the multiplication of a real dense matrix with a complex dense vector using a blocked algorithm.

Parameters:

src1 - Entries of the first matrix.

shape1 - Shape of the first matrix.

src2 - Entries of the second matrix.

shape2 - Shape fo the second matrix.

Returns:

The result of matrix multiplying the two matrices.

concurrentStandardVector

public static CNumber[] concurrentStandardVector(CNumber[] src1,
 Shape shape1,
 double[] src2,
 Shape shape2)

Computes the multiplication of a real dense matrix with a complex dense vector using a concurrent implementation of the standard matrix multiplication algorithm.

Parameters:

src1 - Entries of the first matrix.

shape1 - Shape of the first matrix.

src2 - Entries of the second matrix.

shape2 - Shape fo the second matrix.

Returns:

The result of matrix multiplying the two matrices.

concurrentBlockedVector

public static CNumber[] concurrentBlockedVector(CNumber[] src1,
 Shape shape1,
 double[] src2,
 Shape shape2)

Computes the multiplication of a real dense matrix with a complex dense vector using a concurrent implementation of a blocked algorithm.

Parameters:

src1 - Entries of the first matrix.

shape1 - Shape of the first matrix.

src2 - Entries of the second matrix.

shape2 - Shape fo the second matrix.

Returns:

The result of matrix multiplying the two matrices.