Package org.flag4j.operations.dense_sparse.coo.real_complex

Class RealComplexDenseSparseMatrixMultiplication

java.lang.Object

org.flag4j.operations.dense_sparse.coo.real_complex.RealComplexDenseSparseMatrixMultiplication

public final class RealComplexDenseSparseMatrixMultiplication
extends Object

This class contains low level methods for computing the matrix multiplication (and matrix vector multiplication) between a real dense/sparse matrix and a real sparse/dense matrix or vector.

Constructor Summary

Constructors

Modifier	Constructor	Description
private	RealComplexDenseSparseMatrixMultiplication()

Method Summary

Modifier and Type	Method	Description
static CNumber[]	blockedVector(double[] src1, Shape shape1, CNumber[] src2, int[] indices)	Computes the dense matrix sparse vector multiplication using a blocked algorithm.
static CNumber[]	blockedVector(CNumber[] src1, Shape shape1, double[] src2, int[] indices)	Computes the dense matrix sparse vector multiplication using a blocked algorithm.
static CNumber[]	concurrentBlockedVector(double[] src1, Shape shape1, CNumber[] src2, int[] indices)	Computes the dense matrix sparse vector multiplication using a blocked algorithm.
static CNumber[]	concurrentBlockedVector(CNumber[] src1, Shape shape1, double[] src2, int[] indices)	Computes the dense matrix sparse vector multiplication using a blocked algorithm.
static CNumber[]	concurrentStandard(double[] src1, int[] rowIndices, int[] colIndices, Shape shape1, CNumber[] src2, Shape shape2)	Computes the matrix multiplication between a real sparse matrix and a complex dense matrix using a concurrent standard algorithm.
static CNumber[]	concurrentStandard(double[] src1, Shape shape1, CNumber[] src2, int[] rowIndices, int[] colIndices, Shape shape2)	Computes the matrix multiplication between a real dense matrix and a complex sparse matrix using a concurrent standard algorithm.
static CNumber[]	concurrentStandard(CNumber[] src1, int[] rowIndices, int[] colIndices, Shape shape1, double[] src2, Shape shape2)	Computes the matrix multiplication between a real sparse matrix and a complex dense matrix using a concurrent standard algorithm.
static CNumber[]	concurrentStandard(CNumber[] src1, Shape shape1, double[] src2, int[] rowIndices, int[] colIndices, Shape shape2)	Computes the matrix multiplication between a real dense matrix and a complex sparse matrix using a concurrent standard algorithm.
static CNumber[]	concurrentStandardVector(double[] src1, int[] rowIndices, int[] colIndices, Shape shape1, CNumber[] src2, Shape shape2)	Computes the sparse matrix dense vector multiplication using a concurrent standard algorithm.
static CNumber[]	concurrentStandardVector(double[] src1, Shape shape1, CNumber[] src2, int[] indices)	Computes the dense matrix sparse vector multiplication using a concurrent standard algorithm.
static CNumber[]	concurrentStandardVector(CNumber[] src1, int[] rowIndices, int[] colIndices, Shape shape1, double[] src2, Shape shape2)	Computes the sparse matrix dense vector multiplication using a concurrent standard algorithm.
static CNumber[]	concurrentStandardVector(CNumber[] src1, Shape shape1, double[] src2, int[] indices)	Computes the dense matrix sparse vector multiplication using a concurrent standard algorithm.
static CNumber[]	standard(double[] src1, int[] rowIndices, int[] colIndices, Shape shape1, CNumber[] src2, Shape shape2)	Computes the matrix multiplication between a real sparse matrix and a complex dense matrix using a standard algorithm.
static CNumber[]	standard(double[] src1, Shape shape1, CNumber[] src2, int[] rowIndices, int[] colIndices, Shape shape2)	Computes the matrix multiplication between a real dense matrix and a complex sparse matrix using a standard algorithm.
static CNumber[]	standard(CNumber[] src1, int[] rowIndices, int[] colIndices, Shape shape1, double[] src2, Shape shape2)	Computes the matrix multiplication between a real sparse matrix and a complex dense matrix using a standard algorithm.
static CNumber[]	standard(CNumber[] src1, Shape shape1, double[] src2, int[] rowIndices, int[] colIndices, Shape shape2)	Computes the matrix multiplication between a real dense matrix and a complex sparse matrix using a standard algorithm.
static CNumber[]	standardVector(double[] src1, int[] rowIndices, int[] colIndices, Shape shape1, CNumber[] src2, Shape shape2)	Computes the sparse matrix dense vector multiplication using a standard algorithm.
static CNumber[]	standardVector(double[] src1, Shape shape1, CNumber[] src2, int[] indices)	Computes the dense matrix sparse vector multiplication using a standard algorithm.
static CNumber[]	standardVector(CNumber[] src1, int[] rowIndices, int[] colIndices, Shape shape1, double[] src2, Shape shape2)	Computes the sparse matrix dense vector multiplication using a standard algorithm.
static CNumber[]	standardVector(CNumber[] src1, Shape shape1, double[] src2, int[] indices)	Computes the dense matrix sparse vector multiplication using a standard algorithm.

Methods inherited from class java.lang.Object

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

Constructor Details

RealComplexDenseSparseMatrixMultiplication

private RealComplexDenseSparseMatrixMultiplication()

Method Details

standard

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

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

Parameters:

src1 - Entries of the dense matrix.

shape1 - Shape of the dense matrix.

src2 - Non-zero entries of the sparse matrix.

rowIndices - Row indices for non-zero entries of the sparse matrix.

colIndices - Column indices for non-zero entries of the sparse matrix.

shape2 - Shape of the sparse matrix.

Returns:

The result of the matrix multiplication.

standard

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

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

Parameters:

src1 - Non-zero entries of the sparse matrix.

rowIndices - Row indices for non-zero entries of the sparse matrix.

colIndices - Column indices for non-zero entries of the sparse matrix.

shape1 - Shape of the sparse matrix.

src2 - Entries of the dense matrix.

shape2 - Shape of the dense matrix.

Returns:

The result of the matrix multiplication.

concurrentStandard

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

Computes the matrix multiplication between a real dense matrix and a complex sparse matrix using a concurrent standard algorithm.

Parameters:

src1 - Entries of the dense matrix.

shape1 - Shape of the dense matrix.

src2 - Non-zero entries of the sparse matrix.

rowIndices - Row indices for non-zero entries of the sparse matrix.

colIndices - Column indices for non-zero entries of the sparse matrix.

shape2 - Shape of the sparse matrix.

Returns:

The result of the matrix multiplication.

concurrentStandard

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

Computes the matrix multiplication between a real sparse matrix and a complex dense matrix using a concurrent standard algorithm.

Parameters:

src1 - Non-zero entries of the sparse matrix.

rowIndices - Row indices for non-zero entries of the sparse matrix.

colIndices - Column indices for non-zero entries of the sparse matrix.

shape1 - Shape of the sparse matrix.

src2 - Entries of the dense matrix.

shape2 - Shape of the dense matrix.

Returns:

The result of the matrix multiplication.

standard

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

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

Parameters:

src1 - Entries of the dense matrix.

shape1 - Shape of the dense matrix.

src2 - Non-zero entries of the sparse matrix.

rowIndices - Row indices for non-zero entries of the sparse matrix.

colIndices - Column indices for non-zero entries of the sparse matrix.

shape2 - Shape of the sparse matrix.

Returns:

The result of the matrix multiplication.

standard

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

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

Parameters:

src1 - Non-zero entries of the sparse matrix.

rowIndices - Row indices for non-zero entries of the sparse matrix.

colIndices - Column indices for non-zero entries of the sparse matrix.

shape1 - Shape of the sparse matrix.

src2 - Entries of the dense matrix.

shape2 - Shape of the dense matrix.

Returns:

The result of the matrix multiplication.

concurrentStandard

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

Computes the matrix multiplication between a real dense matrix and a complex sparse matrix using a concurrent standard algorithm.

Parameters:

src1 - Entries of the dense matrix.

shape1 - Shape of the dense matrix.

src2 - Non-zero entries of the sparse matrix.

rowIndices - Row indices for non-zero entries of the sparse matrix.

colIndices - Column indices for non-zero entries of the sparse matrix.

shape2 - Shape of the sparse matrix.

Returns:

The result of the matrix multiplication.

concurrentStandard

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

Computes the matrix multiplication between a real sparse matrix and a complex dense matrix using a concurrent standard algorithm.

Parameters:

src1 - Non-zero entries of the sparse matrix.

rowIndices - Row indices for non-zero entries of the sparse matrix.

colIndices - Column indices for non-zero entries of the sparse matrix.

shape1 - Shape of the sparse matrix.

src2 - Entries of the dense matrix.

shape2 - Shape of the dense matrix.

Returns:

The result of the matrix multiplication.

standardVector

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

Computes the dense matrix sparse vector multiplication using a standard algorithm.

Parameters:

src1 - Entries of the dense matrix.

shape1 - Shape of the dense matrix.

src2 - Non-zero entries of the sparse vector.

indices - Indices of non-zero entries in sparse vector.

Returns:

Entries of the dense matrix resulting from the matrix vector multiplication.

standardVector

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

Computes the sparse matrix dense vector multiplication using a standard algorithm.

Parameters:

src1 - Entries of the sparse matrix.

rowIndices - Row indices of non-zero entries in sparse matrix.

colIndices - Column indices of non-zero entries in sparse matrix.

shape1 - Shape of the sparse matrix.

src2 - Entries of the dense vector.

shape2 - Shape of the dense vector.

Returns:

Entries of the dense matrix resulting from the matrix vector multiplication.

blockedVector

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

Computes the dense matrix sparse vector multiplication using a blocked algorithm.

Parameters:

src1 - Entries of the dense matrix.

shape1 - Shape of the dense matrix.

src2 - Non-zero entries of the sparse vector.

indices - Indices of non-zero entries in sparse vector.

Returns:

Entries of the dense matrix resulting from the matrix vector multiplication.

concurrentStandardVector

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

Computes the dense matrix sparse vector multiplication using a concurrent standard algorithm.

Parameters:

src1 - Entries of the dense matrix.

shape1 - Shape of the dense matrix.

src2 - Non-zero entries of the sparse vector.

indices - Indices of non-zero entries in sparse vector.

Returns:

Entries of the dense matrix resulting from the matrix vector multiplication.

concurrentStandardVector

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

Computes the sparse matrix dense vector multiplication using a concurrent standard algorithm.

Parameters:

src1 - Entries of the sparse matrix.

rowIndices - Row indices of non-zero entries in sparse matrix.

colIndices - Column indices of non-zero entries in sparse matrix.

shape1 - Shape of the sparse matrix.

src2 - Entries of the dense vector.

shape2 - Shape of the dense vector.

Returns:

Entries of the dense matrix resulting from the matrix vector multiplication.

concurrentBlockedVector

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

Computes the dense matrix sparse vector multiplication using a blocked algorithm.

Parameters:

src1 - Entries of the dense matrix.

shape1 - Shape of the dense matrix.

src2 - Non-zero entries of the sparse vector.

indices - Indices of non-zero entries in sparse vector.

Returns:

Entries of the dense matrix resulting from the matrix vector multiplication.

standardVector

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

Computes the dense matrix sparse vector multiplication using a standard algorithm.

Parameters:

src1 - Entries of the dense matrix.

shape1 - Shape of the dense matrix.

src2 - Non-zero entries of the sparse vector.

indices - Indices of non-zero entries in sparse vector.

Returns:

Entries of the dense matrix resulting from the matrix vector multiplication.

standardVector

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

Computes the sparse matrix dense vector multiplication using a standard algorithm.

Parameters:

src1 - Entries of the sparse matrix.

rowIndices - Row indices of non-zero entries in sparse matrix.

colIndices - Column indices of non-zero entries in sparse matrix.

shape1 - Shape of the sparse matrix.

src2 - Entries of the dense vector.

shape2 - Shape of the dense vector.

Returns:

Entries of the dense matrix resulting from the matrix vector multiplication.

blockedVector

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

Computes the dense matrix sparse vector multiplication using a blocked algorithm.

Parameters:

src1 - Entries of the dense matrix.

shape1 - Shape of the dense matrix.

src2 - Non-zero entries of the sparse vector.

indices - Indices of non-zero entries in sparse vector.

Returns:

Entries of the dense matrix resulting from the matrix vector multiplication.

concurrentStandardVector

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

Computes the dense matrix sparse vector multiplication using a concurrent standard algorithm.

Parameters:

src1 - Entries of the dense matrix.

shape1 - Shape of the dense matrix.

src2 - Non-zero entries of the sparse vector.

indices - Indices of non-zero entries in sparse vector.

Returns:

Entries of the dense matrix resulting from the matrix vector multiplication.

concurrentStandardVector

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

Computes the sparse matrix dense vector multiplication using a concurrent standard algorithm.

Parameters:

src1 - Entries of the sparse matrix.

rowIndices - Row indices of non-zero entries in sparse matrix.

colIndices - Column indices of non-zero entries in sparse matrix.

shape1 - Shape of the sparse matrix.

src2 - Entries of the dense vector.

shape2 - Shape of the dense vector.

Returns:

Entries of the dense matrix resulting from the matrix vector multiplication.

concurrentBlockedVector

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

Computes the dense matrix sparse vector multiplication using a blocked algorithm.

Parameters:

src1 - Entries of the dense matrix.

shape1 - Shape of the dense matrix.

src2 - Non-zero entries of the sparse vector.

indices - Indices of non-zero entries in sparse vector.

Returns:

Entries of the dense matrix resulting from the matrix vector multiplication.