/*
* Licensed to the Apache Software Foundation (ASF) under one or more
* contributor license agreements. See the NOTICE file distributed with
* this work for additional information regarding copyright ownership.
* The ASF licenses this file to You under the Apache License, Version 2.0
* (the "License"); you may not use this file except in compliance with
* the License. You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
package org.apache.commons.math.linear;
import org.apache.commons.math.Field;
import org.apache.commons.math.FieldElement;
/**
* Interface defining field-valued matrix with basic algebraic operations.
* <p>
* Matrix element indexing is 0-based -- e.g., <code>getEntry(0, 0)</code>
* returns the element in the first row, first column of the matrix.</p>
*
* @param <T> the type of the field elements
* @version $Id: FieldMatrix.java 1131229 2011-06-03 20:49:25Z luc $
*/
public interface FieldMatrix<T extends FieldElement<T>> extends AnyMatrix {
/**
* Get the type of field elements of the matrix.
*
* @return the type of field elements of the matrix.
*/
Field<T> getField();
/**
* Create a new FieldMatrix<T> of the same type as the instance with
* the supplied row and column dimensions.
*
* @param rowDimension the number of rows in the new matrix
* @param columnDimension the number of columns in the new matrix
* @return a new matrix of the same type as the instance
* @throws org.apache.commons.math.exception.NotStrictlyPositiveException
* if row or column dimension is not positive.
* @since 2.0
*/
FieldMatrix<T> createMatrix(final int rowDimension, final int columnDimension);
/**
* Make a (deep) copy of this.
*
* @return a copy of this matrix.
*/
FieldMatrix<T> copy();
/**
* Compute the sum of this and m.
*
* @param m Matrix to be added.
* @return {@code this} + {@code m}.
* @throws MatrixDimensionMismatchException
* if {@code m} is not the same size as this matrix.
*/
FieldMatrix<T> add(FieldMatrix<T> m);
/**
* Subtract {@code m} from this matrix.
*
* @param m Matrix to be subtracted.
* @return {@code this} - {@code m}.
* @throws MatrixDimensionMismatchException
* if {@code m} is not the same size as this matrix.
*/
FieldMatrix<T> subtract(FieldMatrix<T> m);
/**
* Increment each entry of this matrix.
*
* @param d Value to be added to each entry.
* @return {@code d} + {@code this}.
*/
FieldMatrix<T> scalarAdd(T d);
/**
* Multiply each entry by {@code d}.
*
* @param d Value to multiply all entries by.
* @return {@code d} * {@code this}.
*/
FieldMatrix<T> scalarMultiply(T d);
/**
* Postmultiply this matrix by {@code m}.
*
* @param m Matrix to postmultiply by.
* @return {@code this} * {@code m}.
* @throws IllegalArgumentException
* if columnDimension(this) != rowDimension(m)
*/
FieldMatrix<T> multiply(FieldMatrix<T> m);
/**
* Premultiply this matrix by {@code m}.
*
* @param m Matrix to premultiply by.
* @return {@code m} * {@code this}.
* @throws org.apache.commons.math.exception.DimensionMismatchException
* if the number of columns of {@code m} differ from the number of rows
* of this matrix.
*/
FieldMatrix<T> preMultiply(FieldMatrix<T> m);
/**
* Returns the result multiplying this with itself <code>p</code> times.
* Depending on the type of the field elements, T,
* instability for high powers might occur.
* @param p raise this to power p
* @return this^p
* @throws IllegalArgumentException if p < 0
* NonSquareMatrixException if the matrix is not square
*/
FieldMatrix<T> power(final int p);
/**
* Returns matrix entries as a two-dimensional array.
*
* @return a 2-dimensional array of entries.
*/
T[][] getData();
/**
* Get a submatrix. Rows and columns are indicated
* counting from 0 to n - 1.
*
* @param startRow Initial row index
* @param endRow Final row index (inclusive)
* @param startColumn Initial column index
* @param endColumn Final column index (inclusive)
* @return the matrix containing the data of the
* specified rows and columns.
* @throws org.apache.commons.math.exception.OutOfRangeException
* if the indices are not valid.
*/
FieldMatrix<T> getSubMatrix(int startRow, int endRow, int startColumn, int endColumn);
/**
* Get a submatrix. Rows and columns are indicated
* counting from 0 to n - 1.
*
* @param selectedRows Array of row indices.
* @param selectedColumns Array of column indices.
* @return the matrix containing the data in the
* specified rows and columns.
* @throws org.apache.commons.math.exception.OutOfRangeException
* if row or column selections are not valid.
*/
FieldMatrix<T> getSubMatrix(int[] selectedRows, int[] selectedColumns);
/**
* Copy a submatrix. Rows and columns are indicated
* counting from 0 to n-1.
*
* @param startRow Initial row index.
* @param endRow Final row index (inclusive).
* @param startColumn Initial column index.
* @param endColumn Final column index (inclusive).
* @param destination The arrays where the submatrix data should be copied
* (if larger than rows/columns counts, only the upper-left part will be used).
* @throws org.apache.commons.math.exception.OutOfRangeException
* if the indices are not valid.
* @exception IllegalArgumentException if the destination array is too small.
*/
void copySubMatrix(int startRow, int endRow, int startColumn, int endColumn,
T[][] destination);
/**
* Copy a submatrix. Rows and columns are indicated
* counting from 0 to n - 1.
*
* @param selectedRows Array of row indices.
* @param selectedColumns Array of column indices.
* @param destination Arrays where the submatrix data should be copied
* (if larger than rows/columns counts, only the upper-left part will be used)
* @throws org.apache.commons.math.exception.OutOfRangeException
* if the indices are not valid.
* @exception IllegalArgumentException if the destination array is too small
*/
void copySubMatrix(int[] selectedRows, int[] selectedColumns, T[][] destination);
/**
* Replace the submatrix starting at {@code (row, column)} using data in
* the input {@code subMatrix} array. Indexes are 0-based.
* <p>
* Example:<br>
* Starting with <pre>
* 1 2 3 4
* 5 6 7 8
* 9 0 1 2
* </pre>
* and <code>subMatrix = {{3, 4} {5,6}}</code>, invoking
* <code>setSubMatrix(subMatrix,1,1))</code> will result in <pre>
* 1 2 3 4
* 5 3 4 8
* 9 5 6 2
* </pre></p>
*
* @param subMatrix Array containing the submatrix replacement data.
* @param row Row coordinate of the top-left element to be replaced.
* @param column Column coordinate of the top-left element to be replaced.
* @throws MatrixDimensionMismatchException
* if {@code subMatrix} does not fit into this matrix from element in
* {@code (row, column)}.
* @throws org.apache.commons.math.exception.ZeroException if a row or column
* of {@code subMatrix} is empty.
* @throws org.apache.commons.math.exception.DimensionMismatchException
* if {@code subMatrix} is not rectangular (not all rows have the same
* length).
* @throws org.apache.commons.math.exception.NullArgumentException
* if {@code subMatrix} is {@code null}.
* @since 2.0
*/
void setSubMatrix(T[][] subMatrix, int row, int column);
/**
* Get the entries in row number {@code row}
* as a row matrix.
*
* @param row Row to be fetched.
* @return a row matrix.
* @throws org.apache.commons.math.exception.OutOfRangeException
* if the specified row index is invalid.
*/
FieldMatrix<T> getRowMatrix(int row);
/**
* Set the entries in row number {@code row}
* as a row matrix.
*
* @param row Row to be set.
* @param matrix Row matrix (must have one row and the same number
* of columns as the instance).
* @throws org.apache.commons.math.exception.OutOfRangeException
* if the specified row index is invalid.
* @throws MatrixDimensionMismatchException
* if the matrix dimensions do not match one instance row.
*/
void setRowMatrix(int row, FieldMatrix<T> matrix);
/**
* Get the entries in column number {@code column}
* as a column matrix.
*
* @param column Column to be fetched.
* @return a column matrix.
* @throws org.apache.commons.math.exception.OutOfRangeException
* if the specified column index is invalid.
*/
FieldMatrix<T> getColumnMatrix(int column);
/**
* Set the entries in column number {@code column}
* as a column matrix.
*
* @param column Column to be set.
* @param matrix column matrix (must have one column and the same
* number of rows as the instance).
* @throws org.apache.commons.math.exception.OutOfRangeException
* if the specified column index is invalid.
* @throws MatrixDimensionMismatchException
* if the matrix dimensions do not match one instance column.
*/
void setColumnMatrix(int column, FieldMatrix<T> matrix);
/**
* Get the entries in row number {@code row}
* as a vector.
*
* @param row Row to be fetched
* @return a row vector.
* @throws org.apache.commons.math.exception.OutOfRangeException
* if the specified row index is invalid.
*/
FieldVector<T> getRowVector(int row);
/**
* Set the entries in row number {@code row}
* as a vector.
*
* @param row Row to be set.
* @param vector row vector (must have the same number of columns
* as the instance).
* @throws org.apache.commons.math.exception.OutOfRangeException
* if the specified row index is invalid.
* @throws MatrixDimensionMismatchException
* if the vector dimension does not match one instance row.
*/
void setRowVector(int row, FieldVector<T> vector);
/**
* Returns the entries in column number {@code column}
* as a vector.
*
* @param column Column to be fetched.
* @return a column vector.
* @throws org.apache.commons.math.exception.OutOfRangeException
* if the specified column index is invalid.
*/
FieldVector<T> getColumnVector(int column);
/**
* Set the entries in column number {@code column}
* as a vector.
*
* @param column Column to be set.
* @param vector Column vector (must have the same number of rows
* as the instance).
* @throws org.apache.commons.math.exception.OutOfRangeException
* if the specified column index is invalid.
* @throws MatrixDimensionMismatchException
* if the vector dimension does not match one instance column.
*/
void setColumnVector(int column, FieldVector<T> vector);
/**
* Get the entries in row number {@code row} as an array.
*
* @param row Row to be fetched.
* @return array of entries in the row.
* @throws org.apache.commons.math.exception.OutOfRangeException
* if the specified row index is not valid.
*/
T[] getRow(int row);
/**
* Set the entries in row number {@code row}
* as a row matrix.
*
* @param row Row to be set.
* @param array Row matrix (must have the same number of columns as
* the instance).
* @throws org.apache.commons.math.exception.OutOfRangeException
* if the specified row index is invalid.
* @throws MatrixDimensionMismatchException
* if the array size does not match one instance row.
*/
void setRow(int row, T[] array);
/**
* Get the entries in column number {@code col} as an array.
*
* @param column the column to be fetched
* @return array of entries in the column
* @throws org.apache.commons.math.exception.OutOfRangeException
* if the specified column index is not valid.
*/
T[] getColumn(int column);
/**
* Set the entries in column number {@code column}
* as a column matrix.
*
* @param column the column to be set
* @param array column array (must have the same number of rows as the instance)
* @throws org.apache.commons.math.exception.OutOfRangeException
* if the specified column index is invalid.
* @throws MatrixDimensionMismatchException
* if the array size does not match one instance column.
*/
void setColumn(int column, T[] array);
/**
* Returns the entry in the specified row and column.
*
* @param row row location of entry to be fetched
* @param column column location of entry to be fetched
* @return matrix entry in row,column
* @throws org.apache.commons.math.exception.OutOfRangeException
* if the row or column index is not valid.
*/
T getEntry(int row, int column);
/**
* Set the entry in the specified row and column.
*
* @param row row location of entry to be set
* @param column column location of entry to be set
* @param value matrix entry to be set in row,column
* @throws org.apache.commons.math.exception.OutOfRangeException
* if the row or column index is not valid.
* @since 2.0
*/
void setEntry(int row, int column, T value);
/**
* Change an entry in the specified row and column.
*
* @param row Row location of entry to be set.
* @param column Column location of entry to be set.
* @param increment Value to add to the current matrix entry in
* {@code (row, column)}.
* @throws org.apache.commons.math.exception.OutOfRangeException
* if the row or column index is not valid.
* @since 2.0
*/
void addToEntry(int row, int column, T increment);
/**
* Change an entry in the specified row and column.
*
* @param row Row location of entry to be set.
* @param column Column location of entry to be set.
* @param factor Multiplication factor for the current matrix entry
* in {@code (row,column)}
* @throws org.apache.commons.math.exception.OutOfRangeException
* if the row or column index is not valid.
* @since 2.0
*/
void multiplyEntry(int row, int column, T factor);
/**
* Returns the transpose of this matrix.
*
* @return transpose matrix
*/
FieldMatrix<T> transpose();
/**
* Returns the <a href="http://mathworld.wolfram.com/MatrixTrace.html">
* trace</a> of the matrix (the sum of the elements on the main diagonal).
*
* @return trace
* @throws NonSquareMatrixException
* if the matrix is not square.
*/
T getTrace();
/**
* Returns the result of multiplying this by the vector <code>v</code>.
*
* @param v the vector to operate on
* @return this*v
* @throws IllegalArgumentException if columnDimension != v.size()
*/
T[] operate(T[] v);
/**
* Returns the result of multiplying this by the vector <code>v</code>.
*
* @param v the vector to operate on
* @return this*v
* @throws IllegalArgumentException if columnDimension != v.size()
*/
FieldVector<T> operate(FieldVector<T> v);
/**
* Returns the (row) vector result of premultiplying this by the vector <code>v</code>.
*
* @param v the row vector to premultiply by
* @return v*this
* @throws IllegalArgumentException if rowDimension != v.size()
*/
T[] preMultiply(T[] v);
/**
* Returns the (row) vector result of premultiplying this by the vector <code>v</code>.
*
* @param v the row vector to premultiply by
* @return v*this
* @throws IllegalArgumentException if rowDimension != v.size()
*/
FieldVector<T> preMultiply(FieldVector<T> v);
/**
* Visit (and possibly change) all matrix entries in row order.
* <p>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.</p>
* @param visitor visitor used to process all matrix entries
* @throws org.apache.commons.math.exception.MathUserException if the visitor
* cannot process an entry.
* @see #walkInRowOrder(FieldMatrixPreservingVisitor)
* @see #walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int)
* @see #walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int)
* @see #walkInColumnOrder(FieldMatrixChangingVisitor)
* @see #walkInColumnOrder(FieldMatrixPreservingVisitor)
* @see #walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int)
* @see #walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(FieldMatrixChangingVisitor)
* @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor)
* @see #walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)
* @return the value returned by {@link FieldMatrixChangingVisitor#end()} at the end
* of the walk
*/
T walkInRowOrder(FieldMatrixChangingVisitor<T> visitor);
/**
* Visit (but don't change) all matrix entries in row order.
* <p>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.</p>
* @param visitor visitor used to process all matrix entries
* @throws org.apache.commons.math.exception.MathUserException if the visitor
* cannot process an entry.
* @see #walkInRowOrder(FieldMatrixChangingVisitor)
* @see #walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int)
* @see #walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int)
* @see #walkInColumnOrder(FieldMatrixChangingVisitor)
* @see #walkInColumnOrder(FieldMatrixPreservingVisitor)
* @see #walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int)
* @see #walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(FieldMatrixChangingVisitor)
* @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor)
* @see #walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)
* @return the value returned by {@link FieldMatrixPreservingVisitor#end()} at the end
* of the walk
*/
T walkInRowOrder(FieldMatrixPreservingVisitor<T> visitor);
/**
* Visit (and possibly change) some matrix entries in row order.
* <p>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.</p>
* @param visitor visitor used to process all matrix entries
* @param startRow Initial row index
* @param endRow Final row index (inclusive)
* @param startColumn Initial column index
* @param endColumn Final column index
* @throws org.apache.commons.math.exception.MathUserException if the visitor
* cannot process an entry.
* @throws org.apache.commons.math.exception.OutOfRangeException
* if the indices are not valid.
* @see #walkInRowOrder(FieldMatrixChangingVisitor)
* @see #walkInRowOrder(FieldMatrixPreservingVisitor)
* @see #walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int)
* @see #walkInColumnOrder(FieldMatrixChangingVisitor)
* @see #walkInColumnOrder(FieldMatrixPreservingVisitor)
* @see #walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int)
* @see #walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(FieldMatrixChangingVisitor)
* @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor)
* @see #walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)
* @return the value returned by {@link FieldMatrixChangingVisitor#end()} at the end
* of the walk
*/
T walkInRowOrder(FieldMatrixChangingVisitor<T> visitor,
int startRow, int endRow, int startColumn, int endColumn);
/**
* Visit (but don't change) some matrix entries in row order.
* <p>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.</p>
* @param visitor visitor used to process all matrix entries
* @param startRow Initial row index
* @param endRow Final row index (inclusive)
* @param startColumn Initial column index
* @param endColumn Final column index
* @throws org.apache.commons.math.exception.MathUserException if the visitor
* cannot process an entry.
* @throws org.apache.commons.math.exception.OutOfRangeException
* if the indices are not valid.
* @see #walkInRowOrder(FieldMatrixChangingVisitor)
* @see #walkInRowOrder(FieldMatrixPreservingVisitor)
* @see #walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int)
* @see #walkInColumnOrder(FieldMatrixChangingVisitor)
* @see #walkInColumnOrder(FieldMatrixPreservingVisitor)
* @see #walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int)
* @see #walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(FieldMatrixChangingVisitor)
* @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor)
* @see #walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)
* @return the value returned by {@link FieldMatrixPreservingVisitor#end()} at the end
* of the walk
*/
T walkInRowOrder(FieldMatrixPreservingVisitor<T> visitor,
int startRow, int endRow, int startColumn, int endColumn);
/**
* Visit (and possibly change) all matrix entries in column order.
* <p>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.</p>
* @param visitor visitor used to process all matrix entries
* @throws org.apache.commons.math.exception.MathUserException if the visitor
* cannot process an entry.
* @see #walkInRowOrder(FieldMatrixChangingVisitor)
* @see #walkInRowOrder(FieldMatrixPreservingVisitor)
* @see #walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int)
* @see #walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int)
* @see #walkInColumnOrder(FieldMatrixPreservingVisitor)
* @see #walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int)
* @see #walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(FieldMatrixChangingVisitor)
* @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor)
* @see #walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)
* @return the value returned by {@link FieldMatrixChangingVisitor#end()} at the end
* of the walk
*/
T walkInColumnOrder(FieldMatrixChangingVisitor<T> visitor);
/**
* Visit (but don't change) all matrix entries in column order.
* <p>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.</p>
* @param visitor visitor used to process all matrix entries
* @throws org.apache.commons.math.exception.MathUserException if the visitor
* cannot process an entry.
* @see #walkInRowOrder(FieldMatrixChangingVisitor)
* @see #walkInRowOrder(FieldMatrixPreservingVisitor)
* @see #walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int)
* @see #walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int)
* @see #walkInColumnOrder(FieldMatrixChangingVisitor)
* @see #walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int)
* @see #walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(FieldMatrixChangingVisitor)
* @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor)
* @see #walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)
* @return the value returned by {@link FieldMatrixPreservingVisitor#end()} at the end
* of the walk
*/
T walkInColumnOrder(FieldMatrixPreservingVisitor<T> visitor);
/**
* Visit (and possibly change) some matrix entries in column order.
* <p>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.</p>
* @param visitor visitor used to process all matrix entries
* @param startRow Initial row index
* @param endRow Final row index (inclusive)
* @param startColumn Initial column index
* @param endColumn Final column index
* @throws org.apache.commons.math.exception.MathUserException if the visitor
* cannot process an entry.
* @throws org.apache.commons.math.exception.OutOfRangeException
* if the indices are not valid.
* @see #walkInRowOrder(FieldMatrixChangingVisitor)
* @see #walkInRowOrder(FieldMatrixPreservingVisitor)
* @see #walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int)
* @see #walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int)
* @see #walkInColumnOrder(FieldMatrixChangingVisitor)
* @see #walkInColumnOrder(FieldMatrixPreservingVisitor)
* @see #walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(FieldMatrixChangingVisitor)
* @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor)
* @see #walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)
* @return the value returned by {@link FieldMatrixChangingVisitor#end()} at the end
* of the walk
*/
T walkInColumnOrder(FieldMatrixChangingVisitor<T> visitor,
int startRow, int endRow, int startColumn, int endColumn);
/**
* Visit (but don't change) some matrix entries in column order.
* <p>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.</p>
* @param visitor visitor used to process all matrix entries
* @param startRow Initial row index
* @param endRow Final row index (inclusive)
* @param startColumn Initial column index
* @param endColumn Final column index
* @throws org.apache.commons.math.exception.MathUserException if the visitor
* cannot process an entry.
* @throws org.apache.commons.math.exception.OutOfRangeException
* if the indices are not valid.
* @see #walkInRowOrder(FieldMatrixChangingVisitor)
* @see #walkInRowOrder(FieldMatrixPreservingVisitor)
* @see #walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int)
* @see #walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int)
* @see #walkInColumnOrder(FieldMatrixChangingVisitor)
* @see #walkInColumnOrder(FieldMatrixPreservingVisitor)
* @see #walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(FieldMatrixChangingVisitor)
* @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor)
* @see #walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)
* @return the value returned by {@link FieldMatrixPreservingVisitor#end()} at the end
* of the walk
*/
T walkInColumnOrder(FieldMatrixPreservingVisitor<T> visitor,
int startRow, int endRow, int startColumn, int endColumn);
/**
* Visit (and possibly change) all matrix entries using the fastest possible order.
* <p>The fastest walking order depends on the exact matrix class. It may be
* different from traditional row or column orders.</p>
* @param visitor visitor used to process all matrix entries
* @throws org.apache.commons.math.exception.MathUserException if the visitor
* cannot process an entry.
* @see #walkInRowOrder(FieldMatrixChangingVisitor)
* @see #walkInRowOrder(FieldMatrixPreservingVisitor)
* @see #walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int)
* @see #walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int)
* @see #walkInColumnOrder(FieldMatrixChangingVisitor)
* @see #walkInColumnOrder(FieldMatrixPreservingVisitor)
* @see #walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int)
* @see #walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor)
* @see #walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)
* @return the value returned by {@link FieldMatrixChangingVisitor#end()} at the end
* of the walk
*/
T walkInOptimizedOrder(FieldMatrixChangingVisitor<T> visitor);
/**
* Visit (but don't change) all matrix entries using the fastest possible order.
* <p>The fastest walking order depends on the exact matrix class. It may be
* different from traditional row or column orders.</p>
* @param visitor visitor used to process all matrix entries
* @throws org.apache.commons.math.exception.MathUserException if the visitor
* cannot process an entry.
* @see #walkInRowOrder(FieldMatrixChangingVisitor)
* @see #walkInRowOrder(FieldMatrixPreservingVisitor)
* @see #walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int)
* @see #walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int)
* @see #walkInColumnOrder(FieldMatrixChangingVisitor)
* @see #walkInColumnOrder(FieldMatrixPreservingVisitor)
* @see #walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int)
* @see #walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(FieldMatrixChangingVisitor)
* @see #walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)
* @return the value returned by {@link FieldMatrixPreservingVisitor#end()} at the end
* of the walk
*/
T walkInOptimizedOrder(FieldMatrixPreservingVisitor<T> visitor);
/**
* Visit (and possibly change) some matrix entries using the fastest possible order.
* <p>The fastest walking order depends on the exact matrix class. It may be
* different from traditional row or column orders.</p>
* @param visitor visitor used to process all matrix entries
* @param startRow Initial row index
* @param endRow Final row index (inclusive)
* @param startColumn Initial column index
* @param endColumn Final column index (inclusive)
* @throws org.apache.commons.math.exception.MathUserException if the visitor
* cannot process an entry.
* @throws org.apache.commons.math.exception.OutOfRangeException
* if the indices are not valid.
* @see #walkInRowOrder(FieldMatrixChangingVisitor)
* @see #walkInRowOrder(FieldMatrixPreservingVisitor)
* @see #walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int)
* @see #walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int)
* @see #walkInColumnOrder(FieldMatrixChangingVisitor)
* @see #walkInColumnOrder(FieldMatrixPreservingVisitor)
* @see #walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int)
* @see #walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(FieldMatrixChangingVisitor)
* @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor)
* @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)
* @return the value returned by {@link FieldMatrixChangingVisitor#end()} at the end
* of the walk
*/
T walkInOptimizedOrder(FieldMatrixChangingVisitor<T> visitor,
int startRow, int endRow, int startColumn, int endColumn);
/**
* Visit (but don't change) some matrix entries using the fastest possible order.
* <p>The fastest walking order depends on the exact matrix class. It may be
* different from traditional row or column orders.</p>
* @param visitor visitor used to process all matrix entries
* @param startRow Initial row index
* @param endRow Final row index (inclusive)
* @param startColumn Initial column index
* @param endColumn Final column index (inclusive)
* @throws org.apache.commons.math.exception.MathUserException if the visitor
* cannot process an entry.
* @throws org.apache.commons.math.exception.OutOfRangeException
* if the indices are not valid.
* @see #walkInRowOrder(FieldMatrixChangingVisitor)
* @see #walkInRowOrder(FieldMatrixPreservingVisitor)
* @see #walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int)
* @see #walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int)
* @see #walkInColumnOrder(FieldMatrixChangingVisitor)
* @see #walkInColumnOrder(FieldMatrixPreservingVisitor)
* @see #walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int)
* @see #walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(FieldMatrixChangingVisitor)
* @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor)
* @see #walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int)
* @return the value returned by {@link FieldMatrixPreservingVisitor#end()} at the end
* of the walk
*/
T walkInOptimizedOrder(FieldMatrixPreservingVisitor<T> visitor,
int startRow, int endRow, int startColumn, int endColumn);
}