org.apache.commons.math3.linear
Class BlockFieldMatrix<T extends FieldElement<T>>

java.lang.Object
  org.apache.commons.math3.linear.AbstractFieldMatrix<T>
      org.apache.commons.math3.linear.BlockFieldMatrix<T>

Type Parameters:

T - the type of the field elements

All Implemented Interfaces:

Serializable, AnyMatrix, FieldMatrix<T>

public class BlockFieldMatrix<T extends FieldElement<T>>
extends AbstractFieldMatrix<T>
implements Serializable

Cache-friendly implementation of FieldMatrix using a flat arrays to store square blocks of the matrix.

This implementation is specially designed to be cache-friendly. Square blocks are stored as small arrays and allow efficient traversal of data both in row major direction and columns major direction, one block at a time. This greatly increases performances for algorithms that use crossed directions loops like multiplication or transposition.

The size of square blocks is a static parameter. It may be tuned according to the cache size of the target computer processor. As a rule of thumbs, it should be the largest value that allows three blocks to be simultaneously cached (this is necessary for example for matrix multiplication). The default value is to use 36x36 blocks.

The regular blocks represent BLOCK_SIZE x BLOCK_SIZE squares. Blocks at right hand side and bottom side which may be smaller to fit matrix dimensions. The square blocks are flattened in row major order in single dimension arrays which are therefore BLOCK_SIZE² elements long for regular blocks. The blocks are themselves organized in row major order.

As an example, for a block size of 36x36, a 100x60 matrix would be stored in 6 blocks. Block 0 would be a Field[1296] array holding the upper left 36x36 square, block 1 would be a Field[1296] array holding the upper center 36x36 square, block 2 would be a Field[1008] array holding the upper right 36x28 rectangle, block 3 would be a Field[864] array holding the lower left 24x36 rectangle, block 4 would be a Field[864] array holding the lower center 24x36 rectangle and block 5 would be a Field[672] array holding the lower right 24x28 rectangle.

The layout complexity overhead versus simple mapping of matrices to java arrays is negligible for small matrices (about 1%). The gain from cache efficiency leads to up to 3-fold improvements for matrices of moderate to large size.

Since:

2.0

Version:

$Id: BlockFieldMatrix.java 7721 2013-02-14 14:07:13Z CardosoP $

See Also:

Serialized Form

Field Summary

static int

BLOCK_SIZE Block size.

Constructor Summary

BlockFieldMatrix(Field<T> field, int rows, int columns)
Create a new matrix with the supplied row and column dimensions.

BlockFieldMatrix(int rows, int columns, T[][] blockData, boolean copyArray)
Create a new dense matrix copying entries from block layout data.

BlockFieldMatrix(T[][] rawData)
Create a new dense matrix copying entries from raw layout data.

Method Summary

BlockFieldMatrix<T>	add(BlockFieldMatrix<T> m) Compute the sum of this and m.
FieldMatrix<T>	add(FieldMatrix<T> m) Compute the sum of this and m.
void	addToEntry(int row, int column, T increment) Change an entry in the specified row and column.
FieldMatrix<T>	copy() Make a (deep) copy of this.
static <T extends FieldElement<T>> T[][]	createBlocksLayout(Field<T> field, int rows, int columns) Create a data array in blocks layout.
FieldMatrix<T>	createMatrix(int rowDimension, int columnDimension) Create a new FieldMatrix of the same type as the instance with the supplied row and column dimensions.
T[]	getColumn(int column) Get the entries in column number col as an array.
int	getColumnDimension() Returns the number of columns in the matrix.
FieldMatrix<T>	getColumnMatrix(int column) Get the entries in column number column as a column matrix.
FieldVector<T>	getColumnVector(int column) Returns the entries in column number column as a vector.
T[][]	getData() Returns matrix entries as a two-dimensional array.
T	getEntry(int row, int column) Returns the entry in the specified row and column.
T[]	getRow(int row) Get the entries in row number row as an array.
int	getRowDimension() Returns the number of rows in the matrix.
FieldMatrix<T>	getRowMatrix(int row) Get the entries in row number row as a row matrix.
FieldVector<T>	getRowVector(int row) Get the entries in row number row as a vector.
FieldMatrix<T>	getSubMatrix(int startRow, int endRow, int startColumn, int endColumn) Get a submatrix.
BlockFieldMatrix<T>	multiply(BlockFieldMatrix<T> m) Returns the result of postmultiplying this by m.
FieldMatrix<T>	multiply(FieldMatrix<T> m) Postmultiply this matrix by m.
void	multiplyEntry(int row, int column, T factor) Change an entry in the specified row and column.
T[]	operate(T[] v) Returns the result of multiplying this by the vector v.
T[]	preMultiply(T[] v) Returns the (row) vector result of premultiplying this by the vector v.
FieldMatrix<T>	scalarAdd(T d) Increment each entry of this matrix.
FieldMatrix<T>	scalarMultiply(T d) Multiply each entry by d.
void	setColumn(int column, T[] array) Set the entries in column number column as a column matrix.
void	setColumnMatrix(int column, FieldMatrix<T> matrix) Set the entries in column number column as a column matrix.
void	setColumnVector(int column, FieldVector<T> vector) Set the entries in column number column as a vector.
void	setEntry(int row, int column, T value) Set the entry in the specified row and column.
void	setRow(int row, T[] array) Set the entries in row number row as a row matrix.
void	setRowMatrix(int row, BlockFieldMatrix<T> matrix) Sets the entries in row number row as a row matrix.
void	setRowMatrix(int row, FieldMatrix<T> matrix) Set the entries in row number row as a row matrix.
void	setRowVector(int row, FieldVector<T> vector) Set the entries in row number row as a vector.
void	setSubMatrix(T[][] subMatrix, int row, int column) Replace the submatrix starting at (row, column) using data in the input subMatrix array.
BlockFieldMatrix<T>	subtract(BlockFieldMatrix<T> m) Compute this - m.
FieldMatrix<T>	subtract(FieldMatrix<T> m) Subtract m from this matrix.
static <T extends FieldElement<T>> T[][]	toBlocksLayout(T[][] rawData) Convert a data array from raw layout to blocks layout.
FieldMatrix<T>	transpose() Returns the transpose of this matrix.
T	walkInOptimizedOrder(FieldMatrixChangingVisitor<T> visitor) Visit (and possibly change) all matrix entries using the fastest possible order.
T	walkInOptimizedOrder(FieldMatrixChangingVisitor<T> visitor, int startRow, int endRow, int startColumn, int endColumn) Visit (and possibly change) some matrix entries using the fastest possible order.
T	walkInOptimizedOrder(FieldMatrixPreservingVisitor<T> visitor) Visit (but don't change) all matrix entries using the fastest possible order.
T	walkInOptimizedOrder(FieldMatrixPreservingVisitor<T> visitor, int startRow, int endRow, int startColumn, int endColumn) Visit (but don't change) some matrix entries using the fastest possible order.
T	walkInRowOrder(FieldMatrixChangingVisitor<T> visitor) Visit (and possibly change) all matrix entries in row order.
T	walkInRowOrder(FieldMatrixChangingVisitor<T> visitor, int startRow, int endRow, int startColumn, int endColumn) Visit (and possibly change) some matrix entries in row order.
T	walkInRowOrder(FieldMatrixPreservingVisitor<T> visitor) Visit (but don't change) all matrix entries in row order.
T	walkInRowOrder(FieldMatrixPreservingVisitor<T> visitor, int startRow, int endRow, int startColumn, int endColumn) Visit (but don't change) some matrix entries in row order.

Methods inherited from class org.apache.commons.math3.linear.AbstractFieldMatrix

buildArray, buildArray, checkAdditionCompatible, checkColumnIndex, checkMultiplicationCompatible, checkRowIndex, checkSubMatrixIndex, checkSubMatrixIndex, checkSubtractionCompatible, copySubMatrix, copySubMatrix, equals, extractField, extractField, getField, getSubMatrix, getTrace, hashCode, isSquare, operate, power, preMultiply, preMultiply, toString, walkInColumnOrder, walkInColumnOrder, walkInColumnOrder, walkInColumnOrder

Methods inherited from class java.lang.Object

clone, finalize, getClass, notify, notifyAll, wait, wait, wait

Field Detail

BLOCK_SIZE

public static final int BLOCK_SIZE

Block size.

See Also:

Constant Field Values

Constructor Detail

BlockFieldMatrix

public BlockFieldMatrix(Field<T> field,
                        int rows,
                        int columns)
                 throws NotStrictlyPositiveException

Create a new matrix with the supplied row and column dimensions.

Parameters:

field - Field to which the elements belong.

rows - Number of rows in the new matrix.

columns - Number of columns in the new matrix.

Throws:

NotStrictlyPositiveException - if row or column dimension is not positive.

BlockFieldMatrix

public BlockFieldMatrix(T[][] rawData)
                 throws DimensionMismatchException

Create a new dense matrix copying entries from raw layout data.

The input array must already be in raw layout.

Calling this constructor is equivalent to call:

matrix = new BlockFieldMatrix(getField(), rawData.length, rawData[0].length,
                                   toBlocksLayout(rawData), false);

Parameters:

rawData - Data for the new matrix, in raw layout.

Throws:

DimensionMismatchException - if the blockData shape is inconsistent with block layout.

See Also:

BlockFieldMatrix(int, int, FieldElement[][], boolean)

BlockFieldMatrix

public BlockFieldMatrix(int rows,
                        int columns,
                        T[][] blockData,
                        boolean copyArray)
                 throws DimensionMismatchException,
                        NotStrictlyPositiveException

Create a new dense matrix copying entries from block layout data.

The input array must already be in blocks layout.

Parameters:

rows - the number of rows in the new matrix

columns - the number of columns in the new matrix

blockData - data for new matrix

copyArray - if true, the input array will be copied, otherwise it will be referenced

Throws:

DimensionMismatchException - if the blockData shape is inconsistent with block layout.

NotStrictlyPositiveException - if row or column dimension is not positive.

See Also:

createBlocksLayout(Field, int, int), toBlocksLayout(FieldElement[][]), BlockFieldMatrix(FieldElement[][])

Method Detail

toBlocksLayout

public static <T extends FieldElement<T>> T[][] toBlocksLayout(T[][] rawData)
                                                    throws DimensionMismatchException

Convert a data array from raw layout to blocks layout.

Raw layout is the straightforward layout where element at row i and column j is in array element rawData[i][j]. Blocks layout is the layout used in BlockFieldMatrix instances, where the matrix is split in square blocks (except at right and bottom side where blocks may be rectangular to fit matrix size) and each block is stored in a flattened one-dimensional array.

This method creates an array in blocks layout from an input array in raw layout. It can be used to provide the array argument of the BlockFieldMatrix(int, int, FieldElement[][], boolean) constructor.

Type Parameters:

T - Type of the field elements.

Parameters:

rawData - Data array in raw layout.

Returns:

a new data array containing the same entries but in blocks layout

Throws:

DimensionMismatchException - if rawData is not rectangular (not all rows have the same length).

See Also:

createBlocksLayout(Field, int, int), BlockFieldMatrix(int, int, FieldElement[][], boolean)

createBlocksLayout

public static <T extends FieldElement<T>> T[][] createBlocksLayout(Field<T> field,
                                                                   int rows,
                                                                   int columns)

Create a data array in blocks layout.

This method can be used to create the array argument of the BlockFieldMatrix(int, int, FieldElement[][], boolean) constructor.

Type Parameters:

T - Type of the field elements.

Parameters:

field - Field to which the elements belong.

rows - Number of rows in the new matrix.

columns - Number of columns in the new matrix.

Returns:

a new data array in blocks layout.

See Also:

toBlocksLayout(FieldElement[][]), BlockFieldMatrix(int, int, FieldElement[][], boolean)

createMatrix

public FieldMatrix<T> createMatrix(int rowDimension,
                                   int columnDimension)
                                                    throws NotStrictlyPositiveException

Create a new FieldMatrix of the same type as the instance with the supplied row and column dimensions.

Specified by:

createMatrix in interface FieldMatrix<T extends FieldElement<T>>

Specified by:

createMatrix in class AbstractFieldMatrix<T extends FieldElement<T>>

Parameters:

rowDimension - the number of rows in the new matrix

columnDimension - the number of columns in the new matrix

Returns:

a new matrix of the same type as the instance

Throws:

NotStrictlyPositiveException - if row or column dimension is not positive.

copy

public FieldMatrix<T> copy()

Make a (deep) copy of this.

Specified by:

copy in interface FieldMatrix<T extends FieldElement<T>>

Specified by:

copy in class AbstractFieldMatrix<T extends FieldElement<T>>

Returns:

a copy of this matrix.

add

public FieldMatrix<T> add(FieldMatrix<T> m)
                                           throws MatrixDimensionMismatchException

Compute the sum of this and m.

Specified by:

add in interface FieldMatrix<T extends FieldElement<T>>

Overrides:

add in class AbstractFieldMatrix<T extends FieldElement<T>>

Parameters:

m - Matrix to be added.

Returns:

this + m.

Throws:

MatrixDimensionMismatchException - if m is not the same size as this matrix.

add

public BlockFieldMatrix<T> add(BlockFieldMatrix<T> m)
                                                throws MatrixDimensionMismatchException

Compute the sum of this and m.

Parameters:

m - matrix to be added

Returns:

this + m

Throws:

MatrixDimensionMismatchException - if m is not the same size as this

subtract

public FieldMatrix<T> subtract(FieldMatrix<T> m)
                                                throws MatrixDimensionMismatchException

Subtract m from this matrix.

Specified by:

subtract in interface FieldMatrix<T extends FieldElement<T>>

Overrides:

subtract in class AbstractFieldMatrix<T extends FieldElement<T>>

Parameters:

m - Matrix to be subtracted.

Returns:

this - m.

Throws:

MatrixDimensionMismatchException - if m is not the same size as this matrix.

subtract

public BlockFieldMatrix<T> subtract(BlockFieldMatrix<T> m)
                                                     throws MatrixDimensionMismatchException

Compute this - m.

Parameters:

m - matrix to be subtracted

Returns:

this - m

Throws:

MatrixDimensionMismatchException - if m is not the same size as this

scalarAdd

public FieldMatrix<T> scalarAdd(T d)

Increment each entry of this matrix.

Specified by:

scalarAdd in interface FieldMatrix<T extends FieldElement<T>>

Overrides:

scalarAdd in class AbstractFieldMatrix<T extends FieldElement<T>>

Parameters:

d - Value to be added to each entry.

Returns:

d + this.

scalarMultiply

public FieldMatrix<T> scalarMultiply(T d)

Multiply each entry by d.

Specified by:

scalarMultiply in interface FieldMatrix<T extends FieldElement<T>>

Overrides:

scalarMultiply in class AbstractFieldMatrix<T extends FieldElement<T>>

Parameters:

d - Value to multiply all entries by.

Returns:

d * this.

multiply

public FieldMatrix<T> multiply(FieldMatrix<T> m)
                                                throws DimensionMismatchException

Postmultiply this matrix by m.

Specified by:

multiply in interface FieldMatrix<T extends FieldElement<T>>

Overrides:

multiply in class AbstractFieldMatrix<T extends FieldElement<T>>

Parameters:

m - Matrix to postmultiply by.

Returns:

this * m.

Throws:

DimensionMismatchException - if the number of columns of this matrix is not equal to the number of rows of matrix m.

multiply

public BlockFieldMatrix<T> multiply(BlockFieldMatrix<T> m)
                                                     throws DimensionMismatchException

Returns the result of postmultiplying this by m.

Parameters:

m - matrix to postmultiply by

Returns:

this * m

Throws:

DimensionMismatchException - if the matrices are not compatible.

getData

public T[][] getData()

Returns matrix entries as a two-dimensional array.

Specified by:

getData in interface FieldMatrix<T extends FieldElement<T>>

Overrides:

getData in class AbstractFieldMatrix<T extends FieldElement<T>>

Returns:

a 2-dimensional array of entries.

getSubMatrix

public FieldMatrix<T> getSubMatrix(int startRow,
                                   int endRow,
                                   int startColumn,
                                   int endColumn)
                                                    throws OutOfRangeException,
                                                           NumberIsTooSmallException

Get a submatrix. Rows and columns are indicated counting from 0 to n - 1.

Specified by:

getSubMatrix in interface FieldMatrix<T extends FieldElement<T>>

Overrides:

getSubMatrix in class AbstractFieldMatrix<T extends FieldElement<T>>

Parameters:

startRow - Initial row index

endRow - Final row index (inclusive)

startColumn - Initial column index

endColumn - Final column index (inclusive)

Returns:

the matrix containing the data of the specified rows and columns.

Throws:

OutOfRangeException - if the indices are not valid.

NumberIsTooSmallException - is endRow < startRow of endColumn < startColumn.

setSubMatrix

public void setSubMatrix(T[][] subMatrix,
                         int row,
                         int column)
                  throws DimensionMismatchException,
                         OutOfRangeException,
                         NoDataException,
                         NullArgumentException

Replace the submatrix starting at (row, column) using data in the input subMatrix array. Indexes are 0-based.

Example:
Starting with

 1  2  3  4
 5  6  7  8
 9  0  1  2
 

and subMatrix = {{3, 4} {5,6}}, invoking setSubMatrix(subMatrix,1,1)) will result in

 1  2  3  4
 5  3  4  8
 9  5  6  2
 

Specified by:

setSubMatrix in interface FieldMatrix<T extends FieldElement<T>>

Overrides:

setSubMatrix in class AbstractFieldMatrix<T extends FieldElement<T>>

Parameters:

subMatrix - Array containing the submatrix replacement data.

row - Row coordinate of the top-left element to be replaced.

column - Column coordinate of the top-left element to be replaced.

Throws:

DimensionMismatchException - if subMatrix is not rectangular (not all rows have the same length).

OutOfRangeException - if subMatrix does not fit into this matrix from element in (row, column).

NoDataException - if a row or column of subMatrix is empty.

NullArgumentException - if subMatrix is null.

getRowMatrix

public FieldMatrix<T> getRowMatrix(int row)
                                                    throws OutOfRangeException

Get the entries in row number row as a row matrix.

Specified by:

getRowMatrix in interface FieldMatrix<T extends FieldElement<T>>

Overrides:

getRowMatrix in class AbstractFieldMatrix<T extends FieldElement<T>>

Parameters:

row - Row to be fetched.

Returns:

a row matrix.

Throws:

OutOfRangeException - if the specified row index is invalid.

setRowMatrix

public void setRowMatrix(int row,
                         FieldMatrix<T> matrix)
                  throws MatrixDimensionMismatchException,
                         OutOfRangeException

Set the entries in row number row as a row matrix.

Specified by:

setRowMatrix in interface FieldMatrix<T extends FieldElement<T>>

Overrides:

setRowMatrix in class AbstractFieldMatrix<T extends FieldElement<T>>

Parameters:

row - Row to be set.

matrix - Row matrix (must have one row and the same number of columns as the instance).

Throws:

MatrixDimensionMismatchException - if the matrix dimensions do not match one instance row.

OutOfRangeException - if the specified row index is invalid.

setRowMatrix

public void setRowMatrix(int row,
                         BlockFieldMatrix<T> matrix)
                  throws MatrixDimensionMismatchException,
                         OutOfRangeException

Sets the entries in row number row as a row matrix. Row indices start at 0.

Parameters:

row - the row to be set

matrix - row matrix (must have one row and the same number of columns as the instance)

Throws:

MatrixDimensionMismatchException - if the matrix dimensions do not match one instance row.

OutOfRangeException - if the specified row index is invalid.

getColumnMatrix

public FieldMatrix<T> getColumnMatrix(int column)
                                                       throws OutOfRangeException

Get the entries in column number column as a column matrix.

Specified by:

getColumnMatrix in interface FieldMatrix<T extends FieldElement<T>>

Overrides:

getColumnMatrix in class AbstractFieldMatrix<T extends FieldElement<T>>

Parameters:

column - Column to be fetched.

Returns:

a column matrix.

Throws:

OutOfRangeException - if the specified column index is invalid.

setColumnMatrix

public void setColumnMatrix(int column,
                            FieldMatrix<T> matrix)
                     throws MatrixDimensionMismatchException,
                            OutOfRangeException

Set the entries in column number column as a column matrix.

Specified by:

setColumnMatrix in interface FieldMatrix<T extends FieldElement<T>>

Overrides:

setColumnMatrix in class AbstractFieldMatrix<T extends FieldElement<T>>

Parameters:

column - Column to be set.

matrix - column matrix (must have one column and the same number of rows as the instance).

Throws:

MatrixDimensionMismatchException - if the matrix dimensions do not match one instance column.

OutOfRangeException - if the specified column index is invalid.

getRowVector

public FieldVector<T> getRowVector(int row)
                                                    throws OutOfRangeException

Get the entries in row number row as a vector.

Specified by:

getRowVector in interface FieldMatrix<T extends FieldElement<T>>

Overrides:

getRowVector in class AbstractFieldMatrix<T extends FieldElement<T>>

Parameters:

row - Row to be fetched

Returns:

a row vector.

Throws:

OutOfRangeException - if the specified row index is invalid.

setRowVector

public void setRowVector(int row,
                         FieldVector<T> vector)
                  throws MatrixDimensionMismatchException,
                         OutOfRangeException

Set the entries in row number row as a vector.

Specified by:

setRowVector in interface FieldMatrix<T extends FieldElement<T>>

Overrides:

setRowVector in class AbstractFieldMatrix<T extends FieldElement<T>>

Parameters:

row - Row to be set.

vector - row vector (must have the same number of columns as the instance).

Throws:

MatrixDimensionMismatchException - if the vector dimension does not match one instance row.

OutOfRangeException - if the specified row index is invalid.

getColumnVector

public FieldVector<T> getColumnVector(int column)
                                                       throws OutOfRangeException

Returns the entries in column number column as a vector.

Specified by:

getColumnVector in interface FieldMatrix<T extends FieldElement<T>>

Overrides:

getColumnVector in class AbstractFieldMatrix<T extends FieldElement<T>>

Parameters:

column - Column to be fetched.

Returns:

a column vector.

Throws:

OutOfRangeException - if the specified column index is invalid.

setColumnVector

public void setColumnVector(int column,
                            FieldVector<T> vector)
                     throws OutOfRangeException,
                            MatrixDimensionMismatchException

Set the entries in column number column as a vector.

Specified by:

setColumnVector in interface FieldMatrix<T extends FieldElement<T>>

Overrides:

setColumnVector in class AbstractFieldMatrix<T extends FieldElement<T>>

Parameters:

column - Column to be set.

vector - Column vector (must have the same number of rows as the instance).

Throws:

OutOfRangeException - if the specified column index is invalid.

MatrixDimensionMismatchException - if the vector dimension does not match one instance column.

getRow

public T[] getRow(int row)
                                   throws OutOfRangeException

Get the entries in row number row as an array.

Specified by:

getRow in interface FieldMatrix<T extends FieldElement<T>>

Overrides:

getRow in class AbstractFieldMatrix<T extends FieldElement<T>>

Parameters:

row - Row to be fetched.

Returns:

array of entries in the row.

Throws:

OutOfRangeException - if the specified row index is not valid.

setRow

public void setRow(int row,
                   T[] array)
            throws OutOfRangeException,
                   MatrixDimensionMismatchException

Set the entries in row number row as a row matrix.

Specified by:

setRow in interface FieldMatrix<T extends FieldElement<T>>

Overrides:

setRow in class AbstractFieldMatrix<T extends FieldElement<T>>

Parameters:

row - Row to be set.

array - Row matrix (must have the same number of columns as the instance).

Throws:

OutOfRangeException - if the specified row index is invalid.

MatrixDimensionMismatchException - if the array size does not match one instance row.

getColumn

public T[] getColumn(int column)
                                      throws OutOfRangeException

Get the entries in column number col as an array.

Specified by:

getColumn in interface FieldMatrix<T extends FieldElement<T>>

Overrides:

getColumn in class AbstractFieldMatrix<T extends FieldElement<T>>

Parameters:

column - the column to be fetched

Returns:

array of entries in the column

Throws:

OutOfRangeException - if the specified column index is not valid.

setColumn

public void setColumn(int column,
                      T[] array)
               throws MatrixDimensionMismatchException,
                      OutOfRangeException

Set the entries in column number column as a column matrix.

Specified by:

setColumn in interface FieldMatrix<T extends FieldElement<T>>

Overrides:

setColumn in class AbstractFieldMatrix<T extends FieldElement<T>>

Parameters:

column - the column to be set

array - column array (must have the same number of rows as the instance)

Throws:

MatrixDimensionMismatchException - if the array size does not match one instance column.

OutOfRangeException - if the specified column index is invalid.

getEntry

public T getEntry(int row,
                  int column)
                                   throws OutOfRangeException

Returns the entry in the specified row and column.

Specified by:

getEntry in interface FieldMatrix<T extends FieldElement<T>>

Specified by:

getEntry in class AbstractFieldMatrix<T extends FieldElement<T>>

Parameters:

row - row location of entry to be fetched

column - column location of entry to be fetched

Returns:

matrix entry in row,column

Throws:

OutOfRangeException - if the row or column index is not valid.

setEntry

public void setEntry(int row,
                     int column,
                     T value)
              throws OutOfRangeException

Set the entry in the specified row and column.

Specified by:

setEntry in interface FieldMatrix<T extends FieldElement<T>>

Specified by:

setEntry in class AbstractFieldMatrix<T extends FieldElement<T>>

Parameters:

row - row location of entry to be set

column - column location of entry to be set

value - matrix entry to be set in row,column

Throws:

OutOfRangeException - if the row or column index is not valid.

addToEntry

public void addToEntry(int row,
                       int column,
                       T increment)
                throws OutOfRangeException

Change an entry in the specified row and column.

Specified by:

addToEntry in interface FieldMatrix<T extends FieldElement<T>>

Specified by:

addToEntry in class AbstractFieldMatrix<T extends FieldElement<T>>

Parameters:

row - Row location of entry to be set.

column - Column location of entry to be set.

increment - Value to add to the current matrix entry in (row, column).

Throws:

OutOfRangeException - if the row or column index is not valid.

multiplyEntry

public void multiplyEntry(int row,
                          int column,
                          T factor)
                   throws OutOfRangeException

Change an entry in the specified row and column.

Specified by:

multiplyEntry in interface FieldMatrix<T extends FieldElement<T>>

Specified by:

multiplyEntry in class AbstractFieldMatrix<T extends FieldElement<T>>

Parameters:

row - Row location of entry to be set.

column - Column location of entry to be set.

factor - Multiplication factor for the current matrix entry in (row,column)

Throws:

OutOfRangeException - if the row or column index is not valid.

transpose

public FieldMatrix<T> transpose()

Returns the transpose of this matrix.

Specified by:

transpose in interface FieldMatrix<T extends FieldElement<T>>

Overrides:

transpose in class AbstractFieldMatrix<T extends FieldElement<T>>

Returns:

transpose matrix

getRowDimension

public int getRowDimension()

Returns the number of rows in the matrix.

Specified by:

getRowDimension in interface AnyMatrix

Specified by:

getRowDimension in class AbstractFieldMatrix<T extends FieldElement<T>>

Returns:

rowDimension

getColumnDimension

public int getColumnDimension()

Returns the number of columns in the matrix.

Specified by:

getColumnDimension in interface AnyMatrix

Specified by:

getColumnDimension in class AbstractFieldMatrix<T extends FieldElement<T>>

Returns:

columnDimension

operate

public T[] operate(T[] v)
                                    throws DimensionMismatchException

Returns the result of multiplying this by the vector v.

Specified by:

operate in interface FieldMatrix<T extends FieldElement<T>>

Overrides:

operate in class AbstractFieldMatrix<T extends FieldElement<T>>

Parameters:

v - the vector to operate on

Returns:

this * v

Throws:

DimensionMismatchException - if the number of columns of this matrix is not equal to the size of the vector v.

preMultiply

public T[] preMultiply(T[] v)
                                        throws DimensionMismatchException

Returns the (row) vector result of premultiplying this by the vector v.

Specified by:

preMultiply in interface FieldMatrix<T extends FieldElement<T>>

Overrides:

preMultiply in class AbstractFieldMatrix<T extends FieldElement<T>>

Parameters:

v - the row vector to premultiply by

Returns:

v * this

Throws:

DimensionMismatchException - if the number of rows of this matrix is not equal to the size of the vector v

walkInRowOrder

public T walkInRowOrder(FieldMatrixChangingVisitor<T> visitor)

Visit (and possibly change) all matrix entries in row order.

Row order starts at upper left and iterating through all elements of a row from left to right before going to the leftmost element of the next row.

Specified by:

walkInRowOrder in interface FieldMatrix<T extends FieldElement<T>>

Overrides:

walkInRowOrder in class AbstractFieldMatrix<T extends FieldElement<T>>

Parameters:

visitor - visitor used to process all matrix entries

Returns:

the value returned by FieldMatrixChangingVisitor.end() at the end of the walk

See Also:

FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)

walkInRowOrder

public T walkInRowOrder(FieldMatrixPreservingVisitor<T> visitor)

Visit (but don't change) all matrix entries in row order.

Row order starts at upper left and iterating through all elements of a row from left to right before going to the leftmost element of the next row.

Specified by:

walkInRowOrder in interface FieldMatrix<T extends FieldElement<T>>

Overrides:

walkInRowOrder in class AbstractFieldMatrix<T extends FieldElement<T>>

Parameters:

visitor - visitor used to process all matrix entries

Returns:

the value returned by FieldMatrixPreservingVisitor.end() at the end of the walk

See Also:

FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)

walkInRowOrder

public T walkInRowOrder(FieldMatrixChangingVisitor<T> visitor,
                        int startRow,
                        int endRow,
                        int startColumn,
                        int endColumn)
                                         throws OutOfRangeException,
                                                NumberIsTooSmallException

Visit (and possibly change) some matrix entries in row order.

Row order starts at upper left and iterating through all elements of a row from left to right before going to the leftmost element of the next row.

Specified by:

walkInRowOrder in interface FieldMatrix<T extends FieldElement<T>>

Overrides:

walkInRowOrder in class AbstractFieldMatrix<T extends FieldElement<T>>

Parameters:

visitor - visitor used to process all matrix entries

startRow - Initial row index

endRow - Final row index (inclusive)

startColumn - Initial column index

endColumn - Final column index

Returns:

the value returned by FieldMatrixChangingVisitor.end() at the end of the walk

Throws:

OutOfRangeException - if the indices are not valid.

NumberIsTooSmallException - if endRow < startRow or endColumn < startColumn.

See Also:

FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)

walkInRowOrder

public T walkInRowOrder(FieldMatrixPreservingVisitor<T> visitor,
                        int startRow,
                        int endRow,
                        int startColumn,
                        int endColumn)
                                         throws OutOfRangeException,
                                                NumberIsTooSmallException

Visit (but don't change) some matrix entries in row order.

Row order starts at upper left and iterating through all elements of a row from left to right before going to the leftmost element of the next row.

Specified by:

walkInRowOrder in interface FieldMatrix<T extends FieldElement<T>>

Overrides:

walkInRowOrder in class AbstractFieldMatrix<T extends FieldElement<T>>

Parameters:

visitor - visitor used to process all matrix entries

startRow - Initial row index

endRow - Final row index (inclusive)

startColumn - Initial column index

endColumn - Final column index

Returns:

the value returned by FieldMatrixPreservingVisitor.end() at the end of the walk

Throws:

OutOfRangeException - if the indices are not valid.

NumberIsTooSmallException - if endRow < startRow or endColumn < startColumn.

See Also:

FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)

walkInOptimizedOrder

public T walkInOptimizedOrder(FieldMatrixChangingVisitor<T> visitor)

Visit (and possibly change) all matrix entries using the fastest possible order.

The fastest walking order depends on the exact matrix class. It may be different from traditional row or column orders.

Specified by:

walkInOptimizedOrder in interface FieldMatrix<T extends FieldElement<T>>

Overrides:

walkInOptimizedOrder in class AbstractFieldMatrix<T extends FieldElement<T>>

Parameters:

visitor - visitor used to process all matrix entries

Returns:

the value returned by FieldMatrixChangingVisitor.end() at the end of the walk

See Also:

FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)

walkInOptimizedOrder

public T walkInOptimizedOrder(FieldMatrixPreservingVisitor<T> visitor)

Visit (but don't change) all matrix entries using the fastest possible order.

The fastest walking order depends on the exact matrix class. It may be different from traditional row or column orders.

Specified by:

walkInOptimizedOrder in interface FieldMatrix<T extends FieldElement<T>>

Overrides:

walkInOptimizedOrder in class AbstractFieldMatrix<T extends FieldElement<T>>

Parameters:

visitor - visitor used to process all matrix entries

Returns:

the value returned by FieldMatrixPreservingVisitor.end() at the end of the walk

See Also:

FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)

walkInOptimizedOrder

public T walkInOptimizedOrder(FieldMatrixChangingVisitor<T> visitor,
                              int startRow,
                              int endRow,
                              int startColumn,
                              int endColumn)
                                               throws OutOfRangeException,
                                                      NumberIsTooSmallException

Visit (and possibly change) some matrix entries using the fastest possible order.

The fastest walking order depends on the exact matrix class. It may be different from traditional row or column orders.

Specified by:

walkInOptimizedOrder in interface FieldMatrix<T extends FieldElement<T>>

Overrides:

walkInOptimizedOrder in class AbstractFieldMatrix<T extends FieldElement<T>>

Parameters:

visitor - visitor used to process all matrix entries

startRow - Initial row index

endRow - Final row index (inclusive)

startColumn - Initial column index

endColumn - Final column index (inclusive)

Returns:

the value returned by FieldMatrixChangingVisitor.end() at the end of the walk

Throws:

OutOfRangeException - if the indices are not valid.

NumberIsTooSmallException - if endRow < startRow or endColumn < startColumn.

See Also:

FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)

walkInOptimizedOrder

public T walkInOptimizedOrder(FieldMatrixPreservingVisitor<T> visitor,
                              int startRow,
                              int endRow,
                              int startColumn,
                              int endColumn)
                                               throws OutOfRangeException,
                                                      NumberIsTooSmallException

Visit (but don't change) some matrix entries using the fastest possible order.

The fastest walking order depends on the exact matrix class. It may be different from traditional row or column orders.

Specified by:

walkInOptimizedOrder in interface FieldMatrix<T extends FieldElement<T>>

Overrides:

walkInOptimizedOrder in class AbstractFieldMatrix<T extends FieldElement<T>>

Parameters:

visitor - visitor used to process all matrix entries

startRow - Initial row index

endRow - Final row index (inclusive)

startColumn - Initial column index

endColumn - Final column index (inclusive)

Returns:

the value returned by FieldMatrixPreservingVisitor.end() at the end of the walk

Throws:

OutOfRangeException - if the indices are not valid.

NumberIsTooSmallException - if endRow < startRow or endColumn < startColumn.

See Also:

FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int), FieldMatrix.walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixPreservingVisitor), FieldMatrix.walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int)