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The Apache Commons Math project is a library of lightweight, self-contained mathematics and statistics components addressing the most common practical problems not immediately available in the Java programming language or commons-lang.
/*
* 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.math3.linear;
import org.apache.commons.math3.exception.DimensionMismatchException;
import org.apache.commons.math3.exception.NullArgumentException;
import org.apache.commons.math3.exception.OutOfRangeException;
import org.apache.commons.math3.exception.ZeroException;
/**
* Interface defining a real-valued matrix with basic algebraic operations.
*
* 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: RealMatrix.java 1244107 2012-02-14 16:17:55Z erans $
*/
public interface RealMatrix extends AnyMatrix {
/**
* Create a new RealMatrix 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.math3.exception.NotStrictlyPositiveException
* if row or column dimension is not positive.
* @since 2.0
*/
RealMatrix createMatrix(final int rowDimension, final int columnDimension);
/**
* Returns a (deep) copy of this.
*
* @return matrix copy
*/
RealMatrix copy();
/**
* Compute the sum of this and m.
*
* @param m matrix to be added
* @return this + m
* @throws IllegalArgumentException if m is not the same size as this
*/
RealMatrix add(RealMatrix m);
/**
* Compute this minus m.
*
* @param m matrix to be subtracted
* @return this - m
* @throws IllegalArgumentException if m is not the same size as this
*/
RealMatrix subtract(RealMatrix m);
/**
* Returns the result of adding d to each entry of this.
*
* @param d value to be added to each entry
* @return d + this
*/
RealMatrix scalarAdd(double d);
/**
* Returns the result multiplying each entry of this by d.
*
* @param d value to multiply all entries by
* @return d * this
*/
RealMatrix scalarMultiply(double d);
/**
* Returns the result of postmultiplying this by m.
*
* @param m matrix to postmultiply by
* @return this * m
* @throws IllegalArgumentException
* if columnDimension(this) != rowDimension(m)
*/
RealMatrix multiply(RealMatrix m);
/**
* Returns the result premultiplying this by m.
* @param m matrix to premultiply by
* @return m * this
* @throws IllegalArgumentException
* if rowDimension(this) != columnDimension(m)
*/
RealMatrix preMultiply(RealMatrix m);
/**
* Returns the result multiplying this with itself p times.
* Depending on the underlying storage, 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
*/
RealMatrix power(final int p);
/**
* Returns matrix entries as a two-dimensional array.
*
* @return 2-dimensional array of entries
*/
double[][] getData();
/**
* Returns the
* maximum absolute row sum norm of the matrix.
*
* @return norm
*/
double getNorm();
/**
* Returns the
* Frobenius norm of the matrix.
*
* @return norm
*/
double getFrobeniusNorm();
/**
* Gets 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 subMatrix containing the data of the
* specified rows and columns
* @throws org.apache.commons.math3.exception.OutOfRangeException if
* the indices are not valid.
*/
RealMatrix getSubMatrix(int startRow, int endRow, int startColumn, int endColumn);
/**
* Gets 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 subMatrix containing the data in the
* specified rows and columns
* @throws org.apache.commons.math3.exception.OutOfRangeException if
* the indices are not valid.
*/
RealMatrix 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.math3.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,
double[][] 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 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.math3.exception.OutOfRangeException if the
* indices are not valid.
* @exception IllegalArgumentException if the destination array is too small
*/
void copySubMatrix(int[] selectedRows, int[] selectedColumns, double[][] destination);
/**
* 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
*
*
* @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 ZeroException if {@code subMatrix} does not contain at least one column.
* @throws OutOfRangeException if {@code subMatrix} does not fit into
* this matrix from element in {@code (row, column)}.
* @throws DimensionMismatchException if {@code subMatrix} is not rectangular.
* (not all rows have the same length) or empty.
* @throws NullArgumentException if {@code subMatrix} is {@code null}.
* @since 2.0
*/
void setSubMatrix(double[][] subMatrix, int row, int column)
throws ZeroException, OutOfRangeException, DimensionMismatchException, NullArgumentException;
/**
* Geet the entries at the given row index
* as a row matrix. Row indices start at 0.
*
* @param row Row to be fetched.
* @return row Matrix.
* @throws org.apache.commons.math3.exception.OutOfRangeException if
* the specified row index is invalid.
*/
RealMatrix getRowMatrix(int row);
/**
* Set the entries at the given row index
* as a row matrix. Row indices start at 0.
*
* @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.math3.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, RealMatrix matrix);
/**
* Get the entries at the given column index
* as a column matrix. Column indices start at 0.
*
* @param column Column to be fetched.
* @return column Matrix.
* @throws org.apache.commons.math3.exception.OutOfRangeException if
* the specified column index is invalid.
*/
RealMatrix getColumnMatrix(int column);
/**
* Set the entries at the given column index
* as a column matrix. Column indices start at 0.
*
* @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.math3.exception.OutOfRangeException if
* the specified column index is invalid.
* @throws MatrixDimensionMismatchException
* if the {@code matrix} dimensions do not match one instance column.
*/
void setColumnMatrix(int column, RealMatrix matrix);
/**
* Returns the entries in row number row
* as a vector. Row indices start at 0.
*
* @param row Row to be fetched.
* @return a row vector.
* @throws org.apache.commons.math3.exception.OutOfRangeException if
* the specified row index is invalid.
*/
RealVector getRowVector(int row);
/**
* Set the entries at the given row index.
* as a vector. Row indices start at 0.
*
* @param row Row to be set.
* @param vector row vector (must have the same number of columns
* as the instance).
* @throws org.apache.commons.math3.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, RealVector vector);
/**
* Get the entries at the given column index
* as a vector. Column indices start at 0.
*
* @param column Column to be fetched.
* @return a column vector.
* @throws org.apache.commons.math3.exception.OutOfRangeException if
* the specified column index is invalid
*/
RealVector getColumnVector(int column);
/**
* Set the entries at the given column index
* as a vector. Column indices start at 0.
*
* @param column Column to be set.
* @param vector column vector (must have the same number of rows as
* the instance).
* @throws org.apache.commons.math3.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, RealVector vector);
/**
* Get the entries at the given row index.
* Row indices start at 0.
*
* @param row Row to be fetched.
* @return the array of entries in the row.
* @throws org.apache.commons.math3.exception.OutOfRangeException if the
* specified row index is not valid.
*/
double[] getRow(int row);
/**
* Set the entries at the given row index
* as a row matrix. Row indices start at 0.
*
* @param row Row to be set.
* @param array Row matrix (must have the same number of columns as
* the instance)
* @throws org.apache.commons.math3.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, double[] array);
/**
* Get the entries at the given column index as an array.
* Column indices start at 0.
*
* @param column Column to be fetched.
* @return the array of entries in the column.
* @throws org.apache.commons.math3.exception.OutOfRangeException if the
* specified column index is not valid.
*/
double[] getColumn(int column);
/**
* Set the entries at the given column index
* as a column matrix array. Column indices start at 0.
*
* @param column Column to be set.
* @param array Column array (must have the same number of rows as
* the instance).
* @throws org.apache.commons.math3.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, double[] array);
/**
* Get the entry in the specified row and column.
* Row and column indices start at 0.
*
* @param row Row location of entry to be fetched.
* @param column Column location of entry to be fetched.
* @return the matrix entry at {@code (row, column)}.
* @throws org.apache.commons.math3.exception.OutOfRangeException if the
* row or column index is not valid.
*/
double getEntry(int row, int column);
/**
* Set the entry in the specified row and column.
* Row and column indices start at 0.
*
* @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.
* @throws org.apache.commons.math3.exception.OutOfRangeException if
* the row or column index is not valid
* @since 2.0
*/
void setEntry(int row, int column, double value);
/**
* Change an entry in the specified row and column.
* Row and column indices start at 0.
*
* @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 matrix entry.
* @throws org.apache.commons.math3.exception.OutOfRangeException if
* the row or column index is not valid.
* @since 2.0
*/
void addToEntry(int row, int column, double increment);
/**
* Change an entry in the specified row and column.
* Row and column indices start at 0.
*
* @param row Row location of entry to be set.
* @param column Column location of entry to be set.
* @param factor Multiplication factor for the matrix entry.
* @throws org.apache.commons.math3.exception.OutOfRangeException if
* the row or column index is not valid.
* @since 2.0
*/
void multiplyEntry(int row, int column, double factor);
/**
* Returns the transpose of this matrix.
*
* @return transpose matrix
*/
RealMatrix transpose();
/**
* Returns the
* trace of the matrix (the sum of the elements on the main diagonal).
*
* @return the trace.
* @throws NonSquareMatrixException
* if the matrix is not square.
*/
double getTrace();
/**
* Returns the result of multiplying this by the vector v.
*
* @param v the vector to operate on
* @return this*v
* @throws IllegalArgumentException if columnDimension != v.size()
*/
double[] operate(double[] v);
/**
* Returns the result of multiplying this by the vector v.
*
* @param v the vector to operate on
* @return this*v
* @throws IllegalArgumentException if columnDimension != v.size()
*/
RealVector operate(RealVector v);
/**
* Returns the (row) vector result of premultiplying this by the vector v.
*
* @param v the row vector to premultiply by
* @return v*this
* @throws IllegalArgumentException if rowDimension != v.size()
*/
double[] preMultiply(double[] v);
/**
* Returns the (row) vector result of premultiplying this by the vector v.
*
* @param v the row vector to premultiply by
* @return v*this
* @throws IllegalArgumentException if rowDimension != v.size()
*/
RealVector preMultiply(RealVector v);
/**
* 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.
* @param visitor visitor used to process all matrix entries
* @see #walkInRowOrder(RealMatrixPreservingVisitor)
* @see #walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixChangingVisitor)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor)
* @see #walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @return the value returned by {@link RealMatrixChangingVisitor#end()} at the end
* of the walk
*/
double walkInRowOrder(RealMatrixChangingVisitor 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.
* @param visitor visitor used to process all matrix entries
* @see #walkInRowOrder(RealMatrixChangingVisitor)
* @see #walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixChangingVisitor)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor)
* @see #walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @return the value returned by {@link RealMatrixPreservingVisitor#end()} at the end
* of the walk
*/
double walkInRowOrder(RealMatrixPreservingVisitor visitor);
/**
* 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.
* @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.math3.exception.OutOfRangeException if
* the indices are not valid.
* @see #walkInRowOrder(RealMatrixChangingVisitor)
* @see #walkInRowOrder(RealMatrixPreservingVisitor)
* @see #walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixChangingVisitor)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor)
* @see #walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @return the value returned by {@link RealMatrixChangingVisitor#end()} at the end
* of the walk
*/
double walkInRowOrder(RealMatrixChangingVisitor visitor,
int startRow, int endRow, int startColumn, int endColumn);
/**
* 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.
* @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.math3.exception.OutOfRangeException if
* the indices are not valid.
* @see #walkInRowOrder(RealMatrixChangingVisitor)
* @see #walkInRowOrder(RealMatrixPreservingVisitor)
* @see #walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixChangingVisitor)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor)
* @see #walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @return the value returned by {@link RealMatrixPreservingVisitor#end()} at the end
* of the walk
*/
double walkInRowOrder(RealMatrixPreservingVisitor visitor,
int startRow, int endRow, int startColumn, int endColumn);
/**
* 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.
* @param visitor visitor used to process all matrix entries
* @see #walkInRowOrder(RealMatrixChangingVisitor)
* @see #walkInRowOrder(RealMatrixPreservingVisitor)
* @see #walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor)
* @see #walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @return the value returned by {@link RealMatrixChangingVisitor#end()} at the end
* of the walk
*/
double walkInColumnOrder(RealMatrixChangingVisitor 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.
* @param visitor visitor used to process all matrix entries
* @see #walkInRowOrder(RealMatrixChangingVisitor)
* @see #walkInRowOrder(RealMatrixPreservingVisitor)
* @see #walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixChangingVisitor)
* @see #walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @return the value returned by {@link RealMatrixPreservingVisitor#end()} at the end
* of the walk
*/
double walkInColumnOrder(RealMatrixPreservingVisitor visitor);
/**
* 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.
* @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.math3.exception.OutOfRangeException if
* the indices are not valid.
* @see #walkInRowOrder(RealMatrixChangingVisitor)
* @see #walkInRowOrder(RealMatrixPreservingVisitor)
* @see #walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixChangingVisitor)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @return the value returned by {@link RealMatrixChangingVisitor#end()} at the end
* of the walk
*/
double walkInColumnOrder(RealMatrixChangingVisitor visitor,
int startRow, int endRow, int startColumn, int endColumn);
/**
* 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.
* @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.math3.exception.OutOfRangeException if
* the indices are not valid.
* @see #walkInRowOrder(RealMatrixChangingVisitor)
* @see #walkInRowOrder(RealMatrixPreservingVisitor)
* @see #walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixChangingVisitor)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor)
* @see #walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @return the value returned by {@link RealMatrixPreservingVisitor#end()} at the end
* of the walk
*/
double walkInColumnOrder(RealMatrixPreservingVisitor visitor,
int startRow, int endRow, int startColumn, int endColumn);
/**
* 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.
* @param visitor visitor used to process all matrix entries
* @see #walkInRowOrder(RealMatrixChangingVisitor)
* @see #walkInRowOrder(RealMatrixPreservingVisitor)
* @see #walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixChangingVisitor)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor)
* @see #walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @return the value returned by {@link RealMatrixChangingVisitor#end()} at the end
* of the walk
*/
double walkInOptimizedOrder(RealMatrixChangingVisitor 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.
* @param visitor visitor used to process all matrix entries
* @see #walkInRowOrder(RealMatrixChangingVisitor)
* @see #walkInRowOrder(RealMatrixPreservingVisitor)
* @see #walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixChangingVisitor)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor)
* @see #walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @return the value returned by {@link RealMatrixPreservingVisitor#end()} at the end
* of the walk
*/
double walkInOptimizedOrder(RealMatrixPreservingVisitor visitor);
/**
* 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.
* @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.math3.exception.OutOfRangeException if
* the indices are not valid.
* @see #walkInRowOrder(RealMatrixChangingVisitor)
* @see #walkInRowOrder(RealMatrixPreservingVisitor)
* @see #walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixChangingVisitor)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor)
* @see #walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @return the value returned by {@link RealMatrixChangingVisitor#end()} at the end
* of the walk
*/
double walkInOptimizedOrder(RealMatrixChangingVisitor visitor,
int startRow, int endRow, int startColumn, int endColumn);
/**
* 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.
* @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.math3.exception.OutOfRangeException if the
* indices are not valid.
* @see #walkInRowOrder(RealMatrixChangingVisitor)
* @see #walkInRowOrder(RealMatrixPreservingVisitor)
* @see #walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixChangingVisitor)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor)
* @see #walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)
* @return the value returned by {@link RealMatrixPreservingVisitor#end()} at the end
* of the walk
*/
double walkInOptimizedOrder(RealMatrixPreservingVisitor visitor,
int startRow, int endRow, int startColumn, int endColumn);
}