org.hipparchus.linear

Class AbstractFieldMatrix<T extends FieldElement<T>>

java.lang.Object

org.hipparchus.linear.AbstractFieldMatrix<T>

Type Parameters:

T - Type of the field elements.

All Implemented Interfaces:

AnyMatrix, FieldMatrix<T>

Direct Known Subclasses:

Array2DRowFieldMatrix, BlockFieldMatrix, SparseFieldMatrix

public abstract class AbstractFieldMatrix<T extends FieldElement<T>>
extends Object
implements FieldMatrix<T>

Basic implementation of FieldMatrix methods regardless of the underlying storage.

All the methods implemented here use getEntry(int, int) to access matrix elements. Derived class can provide faster implementations.

Constructor Summary

Constructors

Modifier	Constructor and Description
protected	AbstractFieldMatrix() Constructor for use with Serializable
protected	AbstractFieldMatrix(Field<T> field) Creates a matrix with no data
protected	AbstractFieldMatrix(Field<T> field, int rowDimension, int columnDimension) Create a new FieldMatrix with the supplied row and column dimensions.

Method Summary

Modifier and Type	Method and Description
FieldMatrix<T>	add(FieldMatrix<T> m) Compute the sum of this and m.
abstract void	addToEntry(int row, int column, T increment) Change an entry in the specified row and column.
protected void	checkAdditionCompatible(FieldMatrix<T> m) Check if a matrix is addition compatible with the instance.
protected void	checkColumnIndex(int column) Check if a column index is valid.
protected void	checkMultiplicationCompatible(FieldMatrix<T> m) Check if a matrix is multiplication compatible with the instance.
protected void	checkRowIndex(int row) Check if a row index is valid.
protected void	checkSubMatrixIndex(int[] selectedRows, int[] selectedColumns) Check if submatrix ranges indices are valid.
protected void	checkSubMatrixIndex(int startRow, int endRow, int startColumn, int endColumn) Check if submatrix ranges indices are valid.
protected void	checkSubtractionCompatible(FieldMatrix<T> m) Check if a matrix is subtraction compatible with the instance.
abstract FieldMatrix<T>	copy() Make a (deep) copy of this.
void	copySubMatrix(int[] selectedRows, int[] selectedColumns, T[][] destination) Copy a submatrix.
void	copySubMatrix(int startRow, int endRow, int startColumn, int endColumn, T[][] destination) Copy a submatrix.
abstract 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.
boolean	equals(Object object) Returns true iff object is a FieldMatrix instance with the same dimensions as this and all corresponding matrix entries are equal.
protected static <T extends FieldElement<T>> Field<T>	extractField(T[] d) Get the elements type from an array.
protected static <T extends FieldElement<T>> Field<T>	extractField(T[][] d) Get the elements type from an array.
T[]	getColumn(int column) Get the entries in column number col as an array.
abstract 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.
abstract T	getEntry(int row, int column) Returns the entry in the specified row and column.
Field<T>	getField() Get the type of field elements of the matrix.
T[]	getRow(int row) Get the entries in row number row as an array.
abstract 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[] selectedRows, int[] selectedColumns) Get a submatrix.
FieldMatrix<T>	getSubMatrix(int startRow, int endRow, int startColumn, int endColumn) Get a submatrix.
T	getTrace() Returns the trace of the matrix (the sum of the elements on the main diagonal).
int	hashCode() Computes a hashcode for the matrix.
boolean	isSquare() Is this a square matrix?
FieldMatrix<T>	multiply(FieldMatrix<T> m) Postmultiply this matrix by m.
abstract void	multiplyEntry(int row, int column, T factor) Change an entry in the specified row and column.
FieldVector<T>	operate(FieldVector<T> v) Returns the result of multiplying this by the vector v.
T[]	operate(T[] v) Returns the result of multiplying this by the vector v.
FieldMatrix<T>	power(int p) Returns the result multiplying this with itself p times.
FieldMatrix<T>	preMultiply(FieldMatrix<T> m) Premultiply this matrix by m.
FieldVector<T>	preMultiply(FieldVector<T> v) Returns the (row) vector result of premultiplying 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.
abstract 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, 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.
FieldMatrix<T>	subtract(FieldMatrix<T> m) Subtract m from this matrix.
String	toString() Get a string representation for this matrix.
FieldMatrix<T>	transpose() Returns the transpose of this matrix.
T	walkInColumnOrder(FieldMatrixChangingVisitor<T> visitor) Visit (and possibly change) all matrix entries in column order.
T	walkInColumnOrder(FieldMatrixChangingVisitor<T> visitor, int startRow, int endRow, int startColumn, int endColumn) Visit (and possibly change) some matrix entries in column order.
T	walkInColumnOrder(FieldMatrixPreservingVisitor<T> visitor) Visit (but don't change) all matrix entries in column order.
T	walkInColumnOrder(FieldMatrixPreservingVisitor<T> visitor, int startRow, int endRow, int startColumn, int endColumn) Visit (but don't change) some matrix entries in column order.
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 java.lang.Object

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

Methods inherited from interface org.hipparchus.linear.FieldMatrix

map, mapToSelf, multiplyTransposed, transposeMultiply

Constructor Detail

AbstractFieldMatrix

protected AbstractFieldMatrix()

Constructor for use with Serializable

AbstractFieldMatrix

protected AbstractFieldMatrix(Field<T> field)

Creates a matrix with no data

Parameters:

field - field to which the elements belong

AbstractFieldMatrix

protected AbstractFieldMatrix(Field<T> field,
                              int rowDimension,
                              int columnDimension)
                       throws MathIllegalArgumentException

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

Parameters:

field - Field to which the elements belong.

rowDimension - Number of rows in the new matrix.

columnDimension - Number of columns in the new matrix.

Throws:

MathIllegalArgumentException - if row or column dimension is not positive.

Method Detail

extractField

protected static <T extends FieldElement<T>> Field<T> extractField(T[][] d)
                                                            throws MathIllegalArgumentException,
                                                                   NullArgumentException

Get the elements type from an array.

Type Parameters:

T - Type of the field elements.

Parameters:

d - Data array.

Returns:

the field to which the array elements belong.

Throws:

NullArgumentException - if the array is null.

MathIllegalArgumentException - if the array is empty.

extractField

protected static <T extends FieldElement<T>> Field<T> extractField(T[] d)
                                                            throws MathIllegalArgumentException

Get the elements type from an array.

Type Parameters:

T - Type of the field elements.

Parameters:

d - Data array.

Returns:

the field to which the array elements belong.

Throws:

MathIllegalArgumentException - if array is empty.

getField

public Field<T> getField()

Get the type of field elements of the matrix.

Specified by:

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

Returns:

the type of field elements of the matrix.

createMatrix

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

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>>

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:

MathIllegalArgumentException - if row or column dimension is not positive.

copy

public abstract FieldMatrix<T> copy()

Make a (deep) copy of this.

Specified by:

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

Returns:

a copy of this matrix.

add

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

Compute the sum of this and m.

Specified by:

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

Parameters:

m - Matrix to be added.

Returns:

this + m.

Throws:

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

subtract

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

Subtract m from this matrix.

Specified by:

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

Parameters:

m - Matrix to be subtracted.

Returns:

this - m.

Throws:

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

scalarAdd

public FieldMatrix<T> scalarAdd(T d)

Increment each entry of this matrix.

Specified by:

scalarAdd in interface FieldMatrix<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>>

Parameters:

d - Value to multiply all entries by.

Returns:

d * this.

multiply

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

Postmultiply this matrix by m.

Specified by:

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

Parameters:

m - Matrix to postmultiply by.

Returns:

this * m.

Throws:

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

preMultiply

public FieldMatrix<T> preMultiply(FieldMatrix<T> m)
                           throws MathIllegalArgumentException

Premultiply this matrix by m.

Specified by:

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

Parameters:

m - Matrix to premultiply by.

Returns:

m * this.

Throws:

MathIllegalArgumentException - if the number of columns of m differs from the number of rows of this matrix.

power

public FieldMatrix<T> power(int p)
                     throws MathIllegalArgumentException

Returns the result multiplying this with itself p times. Depending on the type of the field elements, T, instability for high powers might occur.

Specified by:

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

Parameters:

p - raise this to power p

Returns:

this^p

Throws:

MathIllegalArgumentException - if p < 0

getData

public T[][] getData()

Returns matrix entries as a two-dimensional array.

Specified by:

getData in interface FieldMatrix<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 MathIllegalArgumentException

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

Specified by:

getSubMatrix in interface FieldMatrix<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:

MathIllegalArgumentException - is endRow < startRow of endColumn < startColumn.

getSubMatrix

public FieldMatrix<T> getSubMatrix(int[] selectedRows,
                                   int[] selectedColumns)
                            throws MathIllegalArgumentException,
                                   NullArgumentException

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

Specified by:

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

Parameters:

selectedRows - Array of row indices.

selectedColumns - Array of column indices.

Returns:

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

Throws:

MathIllegalArgumentException - if selectedRows or selectedColumns is empty

NullArgumentException - if selectedRows or selectedColumns is null.

copySubMatrix

public void copySubMatrix(int startRow,
                          int endRow,
                          int startColumn,
                          int endColumn,
                          T[][] destination)
                   throws MathIllegalArgumentException

Copy a submatrix. Rows and columns are 0-based. The designated submatrix is copied into the top left portion of the destination array.

Specified by:

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

Parameters:

startRow - Initial row index.

endRow - Final row index (inclusive).

startColumn - Initial column index.

endColumn - Final column index (inclusive).

destination - The array where the submatrix data should be copied (if larger than rows/columns counts, only the upper-left part will be modified).

Throws:

MathIllegalArgumentException - if the dimensions of destination are not large enough to hold the submatrix.

copySubMatrix

public void copySubMatrix(int[] selectedRows,
                          int[] selectedColumns,
                          T[][] destination)
                   throws MathIllegalArgumentException,
                          NullArgumentException

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

Specified by:

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

Parameters:

selectedRows - Array of row indices.

selectedColumns - Array of column indices.

destination - Arrays where the submatrix data should be copied (if larger than rows/columns counts, only the upper-left part will be used)

Throws:

MathIllegalArgumentException - if the dimensions of destination do not match those of this.

NullArgumentException - if selectedRows or selectedColumns is null.

setSubMatrix

public void setSubMatrix(T[][] subMatrix,
                         int row,
                         int column)
                  throws MathIllegalArgumentException,
                         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>>

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:

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

NullArgumentException - if subMatrix is null.

getRowMatrix

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

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

Specified by:

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

Parameters:

row - Row to be fetched.

Returns:

a row matrix.

Throws:

MathIllegalArgumentException - if the specified row index is invalid.

setRowMatrix

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

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

Specified by:

setRowMatrix in interface FieldMatrix<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:

MathIllegalArgumentException - if the specified row index is invalid.

getColumnMatrix

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

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

Specified by:

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

Parameters:

column - Column to be fetched.

Returns:

a column matrix.

Throws:

MathIllegalArgumentException - if the specified column index is invalid.

setColumnMatrix

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

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

Specified by:

setColumnMatrix in interface FieldMatrix<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:

MathIllegalArgumentException - if the specified column index is invalid.

getRowVector

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

Get the entries in row number row as a vector.

Specified by:

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

Parameters:

row - Row to be fetched

Returns:

a row vector.

Throws:

MathIllegalArgumentException - if the specified row index is invalid.

setRowVector

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

Set the entries in row number row as a vector.

Specified by:

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

Parameters:

row - Row to be set.

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

Throws:

MathIllegalArgumentException - if the specified row index is invalid.

getColumnVector

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

Returns the entries in column number column as a vector.

Specified by:

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

Parameters:

column - Column to be fetched.

Returns:

a column vector.

Throws:

MathIllegalArgumentException - if the specified column index is invalid.

setColumnVector

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

Set the entries in column number column as a vector.

Specified by:

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

Parameters:

column - Column to be set.

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

Throws:

MathIllegalArgumentException - if the specified column index is invalid.

getRow

public T[] getRow(int row)
           throws MathIllegalArgumentException

Get the entries in row number row as an array.

Specified by:

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

Parameters:

row - Row to be fetched.

Returns:

array of entries in the row.

Throws:

MathIllegalArgumentException - if the specified row index is not valid.

setRow

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

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

Specified by:

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

Parameters:

row - Row to be set.

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

Throws:

MathIllegalArgumentException - if the specified row index is invalid.

getColumn

public T[] getColumn(int column)
              throws MathIllegalArgumentException

Get the entries in column number col as an array.

Specified by:

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

Parameters:

column - the column to be fetched

Returns:

array of entries in the column

Throws:

MathIllegalArgumentException - if the specified column index is not valid.

setColumn

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

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

Specified by:

setColumn in interface FieldMatrix<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:

MathIllegalArgumentException - if the specified column index is invalid.

getEntry

public abstract T getEntry(int row,
                           int column)
                    throws MathIllegalArgumentException

Returns the entry in the specified row and column.

Specified by:

getEntry in interface FieldMatrix<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:

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

setEntry

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

Set the entry in the specified row and column.

Specified by:

setEntry in interface FieldMatrix<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:

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

addToEntry

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

Change an entry in the specified row and column.

Specified by:

addToEntry in interface FieldMatrix<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:

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

multiplyEntry

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

Change an entry in the specified row and column.

Specified by:

multiplyEntry in interface FieldMatrix<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:

MathIllegalArgumentException - 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>>

Returns:

transpose matrix

isSquare

public boolean isSquare()

Is this a square matrix?

Specified by:

isSquare in interface AnyMatrix

Returns:

true if the matrix is square (rowDimension = columnDimension)

getRowDimension

public abstract int getRowDimension()

Returns the number of rows in the matrix.

Specified by:

getRowDimension in interface AnyMatrix

Returns:

rowDimension

getColumnDimension

public abstract int getColumnDimension()

Returns the number of columns in the matrix.

Specified by:

getColumnDimension in interface AnyMatrix

Returns:

columnDimension

getTrace

public T getTrace()
           throws MathIllegalArgumentException

Returns the trace of the matrix (the sum of the elements on the main diagonal).

Specified by:

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

Returns:

trace

Throws:

MathIllegalArgumentException - if the matrix is not square.

operate

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

Returns the result of multiplying this by the vector v.

Specified by:

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

Parameters:

v - the vector to operate on

Returns:

this * v

Throws:

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

operate

public FieldVector<T> operate(FieldVector<T> v)
                       throws MathIllegalArgumentException

Returns the result of multiplying this by the vector v.

Specified by:

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

Parameters:

v - the vector to operate on

Returns:

this * v

Throws:

MathIllegalArgumentException - 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 MathIllegalArgumentException

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

Specified by:

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

Parameters:

v - the row vector to premultiply by

Returns:

v * this

Throws:

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

preMultiply

public FieldVector<T> preMultiply(FieldVector<T> v)
                           throws MathIllegalArgumentException

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

Specified by:

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

Parameters:

v - the row vector to premultiply by

Returns:

v * this

Throws:

MathIllegalArgumentException - 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>>

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>>

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 MathIllegalArgumentException

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>>

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:

MathIllegalArgumentException - if the indices are not valid.

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 MathIllegalArgumentException

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>>

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:

MathIllegalArgumentException - if the indices are not valid.

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)

walkInColumnOrder

public T walkInColumnOrder(FieldMatrixChangingVisitor<T> visitor)

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

Column order starts at upper left and iterating through all elements of a column from top to bottom before going to the topmost element of the next column.

Specified by:

walkInColumnOrder in interface FieldMatrix<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(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)

walkInColumnOrder

public T walkInColumnOrder(FieldMatrixPreservingVisitor<T> visitor)

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

Column order starts at upper left and iterating through all elements of a column from top to bottom before going to the topmost element of the next column.

Specified by:

walkInColumnOrder in interface FieldMatrix<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(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)

walkInColumnOrder

public T walkInColumnOrder(FieldMatrixChangingVisitor<T> visitor,
                           int startRow,
                           int endRow,
                           int startColumn,
                           int endColumn)
                    throws MathIllegalArgumentException

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

Column order starts at upper left and iterating through all elements of a column from top to bottom before going to the topmost element of the next column.

Specified by:

walkInColumnOrder in interface FieldMatrix<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:

MathIllegalArgumentException - 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(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)

walkInColumnOrder

public T walkInColumnOrder(FieldMatrixPreservingVisitor<T> visitor,
                           int startRow,
                           int endRow,
                           int startColumn,
                           int endColumn)
                    throws MathIllegalArgumentException

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

Column order starts at upper left and iterating through all elements of a column from top to bottom before going to the topmost element of the next column.

Specified by:

walkInColumnOrder in interface FieldMatrix<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:

MathIllegalArgumentException - 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.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>>

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>>

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 MathIllegalArgumentException

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>>

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:

MathIllegalArgumentException - 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 MathIllegalArgumentException

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>>

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:

MathIllegalArgumentException - 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)

toString

public String toString()

Get a string representation for this matrix.

Overrides:

toString in class Object

Returns:

a string representation for this matrix

equals

public boolean equals(Object object)

Returns true iff object is a FieldMatrix instance with the same dimensions as this and all corresponding matrix entries are equal.

Overrides:

equals in class Object

Parameters:

object - the object to test equality against.

Returns:

true if object equals this

hashCode

public int hashCode()

Computes a hashcode for the matrix.

Overrides:

hashCode in class Object

Returns:

hashcode for matrix

checkRowIndex

protected void checkRowIndex(int row)
                      throws MathIllegalArgumentException

Check if a row index is valid.

Parameters:

row - Row index to check.

Throws:

MathIllegalArgumentException - if index is not valid.

checkColumnIndex

protected void checkColumnIndex(int column)
                         throws MathIllegalArgumentException

Check if a column index is valid.

Parameters:

column - Column index to check.

Throws:

MathIllegalArgumentException - if index is not valid.

checkSubMatrixIndex

protected void checkSubMatrixIndex(int startRow,
                                   int endRow,
                                   int startColumn,
                                   int endColumn)
                            throws MathIllegalArgumentException

Check if submatrix ranges indices are valid. Rows and columns are indicated counting from 0 to n-1.

Parameters:

startRow - Initial row index.

endRow - Final row index.

startColumn - Initial column index.

endColumn - Final column index.

Throws:

MathIllegalArgumentException - if the indices are not valid.

MathIllegalArgumentException - if endRow < startRow or endColumn < startColumn.

checkSubMatrixIndex

protected void checkSubMatrixIndex(int[] selectedRows,
                                   int[] selectedColumns)
                            throws MathIllegalArgumentException,
                                   NullArgumentException

Check if submatrix ranges indices are valid. Rows and columns are indicated counting from 0 to n-1.

Parameters:

selectedRows - Array of row indices.

selectedColumns - Array of column indices.

Throws:

NullArgumentException - if the arrays are null.

MathIllegalArgumentException - if the arrays have zero length.

MathIllegalArgumentException - if row or column selections are not valid.

checkAdditionCompatible

protected void checkAdditionCompatible(FieldMatrix<T> m)
                                throws MathIllegalArgumentException

Check if a matrix is addition compatible with the instance.

Parameters:

m - Matrix to check.

Throws:

MathIllegalArgumentException - if the matrix is not addition-compatible with instance.

checkSubtractionCompatible

protected void checkSubtractionCompatible(FieldMatrix<T> m)
                                   throws MathIllegalArgumentException

Check if a matrix is subtraction compatible with the instance.

Parameters:

m - Matrix to check.

Throws:

MathIllegalArgumentException - if the matrix is not subtraction-compatible with instance.

checkMultiplicationCompatible

protected void checkMultiplicationCompatible(FieldMatrix<T> m)
                                      throws MathIllegalArgumentException

Check if a matrix is multiplication compatible with the instance.

Parameters:

m - Matrix to check.

Throws:

MathIllegalArgumentException - if the matrix is not multiplication-compatible with instance.