Class DenseRingHermitianTranspose

java.lang.Object

org.flag4j.linalg.ops.dense.ring_ops.DenseRingHermitianTranspose

public final class DenseRingHermitianTranspose
extends Object

Utility class for computing the Hermitian transpose of a dense Ring tensor or matrix.

Method Summary

Modifier and Type	Method	Description
static <T extends Ring<T>> void	blockedMatrixConcurrentHerm(T[] src, int numRows, int numCols, T[] dest)	Computes the complex conjugate transpose of a matrix using a blocked concurrent algorithm.
static <T extends Ring<T>> void	blockedMatrixHerm(T[] src, int numRows, int numCols, T[] dest)	Computes complex conjugate transpose of a matrix using a blocked algorithm.
static <T extends Ring<T>> void	standardConcurrentHerm(T[] src, Shape shape, int[] axes, T[] dest)	Computes the conjugate transpose of a tensor using a concurrent implementation.
static <T extends Ring<T>> void	standardConcurrentHerm(T[] src, Shape shape, int axis1, int axis2, T[] dest)	Computes complex conjugate transpose of a tensor along specified axes using a standard concurrent transpose algorithm.
static <T extends Ring<T>> void	standardHerm(T[] src, Shape shape, int[] axes, T[] dest)	Computes the conjugate transpose of a tensor using a standard implementation.
static <T extends Ring<T>> void	standardHerm(T[] src, Shape shape, int axis1, int axis2, T[] dest)	Computes complex conjugate transpose of a tensor along specified axes using a standard transpose algorithm.
static <T extends Ring<T>> void	standardMatrixConcurrentHerm(T[] src, int numRows, int numCols, T[] dest)	Computes the complex conjugate transpose of a matrix using a standard concurrent algorithm.
static <T extends Ring<T>> void	standardMatrixHerm(T[] src, int numRows, int numCols, T[] dest)	Computes complex conjugate transpose of a matrix using the standard algorithm.

Methods inherited from class java.lang.Object

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

Method Details

standardHerm

public static <T extends Ring<T>> void standardHerm(T[] src,
 Shape shape,
 int[] axes,
 T[] dest)

Computes the conjugate transpose of a tensor using a standard implementation. That is, interchanges the axes of the tensor so that it matches the specified axes permutation and so that the axis which are swapped and complex conjugated.

Parameters:

src - Entries of the tensor.

shape - Shape of the tensor to transpose.

axes - Permutation of tensor axis. If the tensor has rank N, then this must be an array of length N which is a permutation of {0, 1, 2, ..., N-1}.

Throws:

IllegalArgumentException - If the axes array is not a permutation of {0, 1, 2, ..., N-1}.

IllegalArgumentException - If the shape rank is less than 2.

standardHerm

public static <T extends Ring<T>> void standardHerm(T[] src,
 Shape shape,
 int axis1,
 int axis2,
 T[] dest)

Computes complex conjugate transpose of a tensor along specified axes using a standard transpose algorithm. In this context, transposing a tensor is equivalent to swapping a pair of axes.

Parameters:

src - Entries of the tensor.

shape - Shape of the tensor to transpose.

axis1 - First axis to swap in transpose.

axis2 - Second axis to swap in transpose.

standardConcurrentHerm

public static <T extends Ring<T>> void standardConcurrentHerm(T[] src,
 Shape shape,
 int axis1,
 int axis2,
 T[] dest)

Computes complex conjugate transpose of a tensor along specified axes using a standard concurrent transpose algorithm. In this context, transposing a tensor is equivalent to swapping a pair of axes.

Parameters:

src - Entries of the tensor.

shape - Shape of the tensor to transpose.

axis1 - First axis to swap in transpose.

axis2 - Second axis to swap in transpose.

standardConcurrentHerm

public static <T extends Ring<T>> void standardConcurrentHerm(T[] src,
 Shape shape,
 int[] axes,
 T[] dest)

Computes the conjugate transpose of a tensor using a concurrent implementation. That is, interchanges the axes of the tensor so that it matches the specified axes permutation and so that the axis which are swapped and complex conjugated.

Parameters:

src - Entries of the tensor.

shape - Shape of the tensor to transpose.

axes - Permutation of tensor axis. If the tensor has rank N, then this must be an array of length N which is a permutation of {0, 1, 2, ..., N-1}.

Throws:

IllegalArgumentException - If the axes array is not a permutation of {0, 1, 2, ..., N-1}.

IllegalArgumentException - If the shape rank is less than 2.

standardMatrixHerm

public static <T extends Ring<T>> void standardMatrixHerm(T[] src,
 int numRows,
 int numCols,
 T[] dest)

Computes complex conjugate transpose of a matrix using the standard algorithm.

Parameters:

src - Entries of the matrix to transpose.

numRows - Number of rows in the matrix.

numCols - Number of columns in the matrix.

blockedMatrixHerm

public static <T extends Ring<T>> void blockedMatrixHerm(T[] src,
 int numRows,
 int numCols,
 T[] dest)

Computes complex conjugate transpose of a matrix using a blocked algorithm. To get or set the block size see Configurations.getBlockSize() or Configurations.setBlockSize(int).

Parameters:

src - Source matrix in the transpose.

numRows - Number of rows in the matrix.

numCols - Number of columns in the matrix.

standardMatrixConcurrentHerm

public static <T extends Ring<T>> void standardMatrixConcurrentHerm(T[] src,
 int numRows,
 int numCols,
 T[] dest)

Computes the complex conjugate transpose of a matrix using a standard concurrent algorithm.

Parameters:

src - Entries of the matrix to transpose.

numRows - Number of rows in source matrix.

numCols - Number of columns in source matrix.

blockedMatrixConcurrentHerm

public static <T extends Ring<T>> void blockedMatrixConcurrentHerm(T[] src,
 int numRows,
 int numCols,
 T[] dest)

Computes the complex conjugate transpose of a matrix using a blocked concurrent algorithm.

Parameters:

src - Entries of the matrix to transpose.

numRows - Number of rows in source matrix.

numCols - Number of columns in source matrix.