org.apache.commons.math3.linear

## Class Array2DRowFieldMatrix<T extends FieldElement<T>>

- java.lang.Object
- - org.apache.commons.math3.linear.AbstractFieldMatrix<T>
  - - org.apache.commons.math3.linear.Array2DRowFieldMatrix<T>

Type Parameters:
  `T` - the type of the field elements

All Implemented Interfaces:
  Serializable, AnyMatrix, FieldMatrix<T>

    public class Array2DRowFieldMatrix<T extends FieldElement<T>>
    extends AbstractFieldMatrix<T>
    implements Serializable

Implementation of FieldMatrix<T> using a `FieldElement`[][] array to store entries.

As specified in the `FieldMatrix` interface, matrix element indexing is 0-based -- e.g., `getEntry(0, 0)` returns the element in the first row, first column of the matrix.

Version:
  $Id: Array2DRowFieldMatrix.java 1416643 2012-12-03 19:37:14Z tn $
See Also:
  Serialized Form

### Field Summary

Fields
`private T[][]` `data` Entries of the matrix
`private static long` `serialVersionUID` Serializable version identifier

### Constructor Summary

Constructors
Constructor and Description
`Array2DRowFieldMatrix(Field<T> field)` Creates a matrix with no data
`Array2DRowFieldMatrix(Field<T> field, int rowDimension, int columnDimension)` Create a new `FieldMatrix<T>` with the supplied row and column dimensions.
`Array2DRowFieldMatrix(Field<T> field, T[] v)` Create a new (column) `FieldMatrix<T>` using `v` as the data for the unique column of the created matrix.
`Array2DRowFieldMatrix(Field<T> field, T[][] d)` Create a new `FieldMatrix<T>` using the input array as the underlying data array.
`Array2DRowFieldMatrix(Field<T> field, T[][] d, boolean copyArray)` Create a new `FieldMatrix<T>` using the input array as the underlying data array.
`Array2DRowFieldMatrix(T[] v)` Create a new (column) `FieldMatrix<T>` using `v` as the data for the unique column of the created matrix.
`Array2DRowFieldMatrix(T[][] d)` Create a new `FieldMatrix<T>` using the input array as the underlying data array.
`Array2DRowFieldMatrix(T[][] d, boolean copyArray)` Create a new `FieldMatrix<T>` using the input array as the underlying data array.

### Method Summary

Methods
`Array2DRowFieldMatrix<T>` `add(Array2DRowFieldMatrix<T> m)` Add `m` to this matrix.
`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.
`private void` `copyIn(T[][] in)` Replace data with a fresh copy of the input array.
`private T[][]` `copyOut()` Get a fresh copy of the underlying data array.
`FieldMatrix<T>` `createMatrix(int rowDimension, int columnDimension)` Create a new FieldMatrix<T> of the same type as the instance with the supplied row and column dimensions.
`int` `getColumnDimension()` Returns the number of columns in the matrix.
`T[][]` `getData()` Returns matrix entries as a two-dimensional array.
`T[][]` `getDataRef()` Get a reference to the underlying data array.
`T` `getEntry(int row, int column)` Returns the entry in the specified row and column.
`int` `getRowDimension()` Returns the number of rows in the matrix.
`Array2DRowFieldMatrix<T>` `multiply(Array2DRowFieldMatrix<T> m)` Postmultiplying 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`.
`void` `setEntry(int row, int column, T value)` Set the entry in the specified row and column.
`void` `setSubMatrix(T[][] subMatrix, int row, int column)` Replace the submatrix starting at `(row, column)` using data in the input `subMatrix` array.
`Array2DRowFieldMatrix<T>` `subtract(Array2DRowFieldMatrix<T> m)` Subtract `m` from 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` `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

`add, buildArray, buildArray, checkAdditionCompatible, checkColumnIndex, checkMultiplicationCompatible, checkRowIndex, checkSubMatrixIndex, checkSubMatrixIndex, checkSubtractionCompatible, copySubMatrix, copySubMatrix, equals, extractField, extractField, getColumn, getColumnMatrix, getColumnVector, getField, getRow, getRowMatrix, getRowVector, getSubMatrix, getSubMatrix, getTrace, hashCode, isSquare, multiply, operate, power, preMultiply, preMultiply, scalarAdd, scalarMultiply, setColumn, setColumnMatrix, setColumnVector, setRow, setRowMatrix, setRowVector, subtract, toString, transpose, walkInOptimizedOrder, walkInOptimizedOrder, walkInOptimizedOrder, walkInOptimizedOrder`

### Methods inherited from class java.lang.Object

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

### Field Detail

#### serialVersionUID

    private static final long serialVersionUID

Serializable version identifier

See Also:
  Constant Field Values

#### data

    private T extends FieldElement<T>[][] data

Entries of the matrix

### Constructor Detail

#### Array2DRowFieldMatrix

    public Array2DRowFieldMatrix(Field<T> field)

Creates a matrix with no data

Parameters:
  `field` - field to which the elements belong

#### Array2DRowFieldMatrix

    public Array2DRowFieldMatrix(Field<T> field,
                         int rowDimension,
                         int columnDimension)
                          throws NotStrictlyPositiveException

Create a new `FieldMatrix<T>` 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:
  `NotStrictlyPositiveException` - if row or column dimension is not positive.

#### Array2DRowFieldMatrix

    public Array2DRowFieldMatrix(T[][] d)
                          throws DimensionMismatchException,
                                 NullArgumentException,
                                 NoDataException

Create a new `FieldMatrix<T>` using the input array as the underlying data array.

The input array is copied, not referenced. This constructor has the same effect as calling `Array2DRowFieldMatrix(FieldElement[][], boolean)` with the second argument set to `true`.

Parameters:
  `d` - Data for the new matrix.
Throws:
  `DimensionMismatchException` - if `d` is not rectangular.
  `NullArgumentException` - if `d` is `null`.
  `NoDataException` - if there are not at least one row and one column.
See Also:
  `Array2DRowFieldMatrix(FieldElement[][], boolean)`

#### Array2DRowFieldMatrix

    public Array2DRowFieldMatrix(Field<T> field,
                         T[][] d)
                          throws DimensionMismatchException,
                                 NullArgumentException,
                                 NoDataException

Create a new `FieldMatrix<T>` using the input array as the underlying data array.

The input array is copied, not referenced. This constructor has the same effect as calling `Array2DRowFieldMatrix(FieldElement[][], boolean)` with the second argument set to `true`.

Parameters:
  `field` - Field to which the elements belong.
  `d` - Data for the new matrix.
Throws:
  `DimensionMismatchException` - if `d` is not rectangular.
  `NullArgumentException` - if `d` is `null`.
  `NoDataException` - if there are not at least one row and one column.
See Also:
  `Array2DRowFieldMatrix(FieldElement[][], boolean)`

#### Array2DRowFieldMatrix

    public Array2DRowFieldMatrix(T[][] d,
                         boolean copyArray)
                          throws DimensionMismatchException,
                                 NoDataException,
                                 NullArgumentException

Create a new `FieldMatrix<T>` using the input array as the underlying data array.

If an array is built specially in order to be embedded in a `FieldMatrix<T>` and not used directly, the `copyArray` may be set to `false`. This will prevent the copying and improve performance as no new array will be built and no data will be copied.

Parameters:
  `d` - Data for the new matrix.
  `copyArray` - Whether to copy or reference the input array.
Throws:
  `DimensionMismatchException` - if `d` is not rectangular.
  `NoDataException` - if there are not at least one row and one column.
  `NullArgumentException` - if `d` is `null`.
See Also:
  `Array2DRowFieldMatrix(FieldElement[][])`

#### Array2DRowFieldMatrix

    public Array2DRowFieldMatrix(Field<T> field,
                         T[][] d,
                         boolean copyArray)
                          throws DimensionMismatchException,
                                 NoDataException,
                                 NullArgumentException

Create a new `FieldMatrix<T>` using the input array as the underlying data array.

If an array is built specially in order to be embedded in a `FieldMatrix<T>` and not used directly, the `copyArray` may be set to `false`. This will prevent the copying and improve performance as no new array will be built and no data will be copied.

Parameters:
  `field` - Field to which the elements belong.
  `d` - Data for the new matrix.
  `copyArray` - Whether to copy or reference the input array.
Throws:
  `DimensionMismatchException` - if `d` is not rectangular.
  `NoDataException` - if there are not at least one row and one column.
  `NullArgumentException` - if `d` is `null`.
See Also:
  `Array2DRowFieldMatrix(FieldElement[][])`

#### Array2DRowFieldMatrix

    public Array2DRowFieldMatrix(T[] v)
                          throws NoDataException

Create a new (column) `FieldMatrix<T>` using `v` as the data for the unique column of the created matrix. The input array is copied.

Parameters:
  `v` - Column vector holding data for new matrix.
Throws:
  `NoDataException` - if v is empty

#### Array2DRowFieldMatrix

    public Array2DRowFieldMatrix(Field<T> field,
                         T[] v)

Create a new (column) `FieldMatrix<T>` using `v` as the data for the unique column of the created matrix. The input array is copied.

Parameters:
  `field` - Field to which the elements belong.
  `v` - Column vector holding data for new matrix.

### Method Detail

#### createMatrix

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

Create a new FieldMatrix<T> 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 Array2DRowFieldMatrix<T> add(Array2DRowFieldMatrix<T> m)
                                                         throws MatrixDimensionMismatchException

Add `m` to this matrix.

Parameters:
  `m` - Matrix to be added.
Returns:
  `this` + m.
Throws:
  `MatrixDimensionMismatchException` - if `m` is not the same size as this matrix.

#### subtract

    public Array2DRowFieldMatrix<T> subtract(Array2DRowFieldMatrix<T> m)
                                                              throws MatrixDimensionMismatchException

Subtract `m` from this matrix.

Parameters:
  `m` - Matrix to be subtracted.
Returns:
  `this` + m.
Throws:
  `MatrixDimensionMismatchException` - if `m` is not the same size as this matrix.

#### multiply

    public Array2DRowFieldMatrix<T> multiply(Array2DRowFieldMatrix<T> m)
                                                              throws DimensionMismatchException

Postmultiplying this matrix by `m`.

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 `m`.

#### 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.

#### getDataRef

    public T[][] getDataRef()

Get a reference to the underlying data array. This methods returns internal data, not fresh copy of it.

Returns:
  the 2-dimensional array of entries.

#### setSubMatrix

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

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:
  `OutOfRangeException` - if `subMatrix` does not fit into this matrix from element in `(row, column)`.
  `NullArgumentException` - if `subMatrix` is `null`.
  `NoDataException` - if a row or column of `subMatrix` is empty.
  `DimensionMismatchException` - if `subMatrix` is not rectangular (not all rows have the same length).

#### 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.

#### 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)`

#### 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>>`
Overrides:
  `walkInColumnOrder` 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(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>>`
Overrides:
  `walkInColumnOrder` 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(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 OutOfRangeException,
                                                       NumberIsTooSmallException

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>>`
Overrides:
  `walkInColumnOrder` 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(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 OutOfRangeException,
                                                       NumberIsTooSmallException

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>>`
Overrides:
  `walkInColumnOrder` 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.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)`

#### copyOut

    private T[][] copyOut()

Get a fresh copy of the underlying data array.

Returns:
  a copy of the underlying data array.

#### copyIn

    private void copyIn(T[][] in)
                 throws NullArgumentException,
                        NoDataException,
                        DimensionMismatchException

Replace data with a fresh copy of the input array.

Parameters:
  `in` - Data to copy.
Throws:
  `NoDataException` - if the input array is empty.
  `DimensionMismatchException` - if the input array is not rectangular.
  `NullArgumentException` - if the input array is `null`.