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Diffstat (limited to 'src/main/java/org/apache/commons/math3/linear/RealMatrix.java')
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diff --git a/src/main/java/org/apache/commons/math3/linear/RealMatrix.java b/src/main/java/org/apache/commons/math3/linear/RealMatrix.java new file mode 100644 index 0000000..183a883 --- /dev/null +++ b/src/main/java/org/apache/commons/math3/linear/RealMatrix.java @@ -0,0 +1,827 @@ +/* + * 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.NoDataException; +import org.apache.commons.math3.exception.NotPositiveException; +import org.apache.commons.math3.exception.NotStrictlyPositiveException; +import org.apache.commons.math3.exception.NullArgumentException; +import org.apache.commons.math3.exception.NumberIsTooSmallException; +import org.apache.commons.math3.exception.OutOfRangeException; + +/** + * Interface defining a real-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. + */ +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 NotStrictlyPositiveException if row or column dimension is not positive. + * @since 2.0 + */ + RealMatrix createMatrix(int rowDimension, int columnDimension) + throws NotStrictlyPositiveException; + + /** + * Returns a (deep) copy of this. + * + * @return matrix copy + */ + RealMatrix copy(); + + /** + * Returns the sum of {@code this} and {@code m}. + * + * @param m matrix to be added + * @return {@code this + m} + * @throws MatrixDimensionMismatchException if {@code m} is not the same size as {@code this}. + */ + RealMatrix add(RealMatrix m) throws MatrixDimensionMismatchException; + + /** + * Returns {@code this} minus {@code m}. + * + * @param m matrix to be subtracted + * @return {@code this - m} + * @throws MatrixDimensionMismatchException if {@code m} is not the same size as {@code this}. + */ + RealMatrix subtract(RealMatrix m) throws MatrixDimensionMismatchException; + + /** + * Returns the result of adding {@code d} to each entry of {@code this}. + * + * @param d value to be added to each entry + * @return {@code d + this} + */ + RealMatrix scalarAdd(double d); + + /** + * Returns the result of multiplying each entry of {@code this} by {@code d}. + * + * @param d value to multiply all entries by + * @return {@code d * this} + */ + RealMatrix scalarMultiply(double d); + + /** + * Returns the result of postmultiplying {@code this} by {@code m}. + * + * @param m matrix to postmultiply by + * @return {@code this * m} + * @throws DimensionMismatchException if {@code columnDimension(this) != rowDimension(m)} + */ + RealMatrix multiply(RealMatrix m) throws DimensionMismatchException; + + /** + * Returns the result of premultiplying {@code this} by {@code m}. + * + * @param m matrix to premultiply by + * @return {@code m * this} + * @throws DimensionMismatchException if {@code rowDimension(this) != columnDimension(m)} + */ + RealMatrix preMultiply(RealMatrix m) throws DimensionMismatchException; + + /** + * Returns the result of multiplying {@code this} with itself {@code p} times. Depending on the + * underlying storage, instability for high powers might occur. + * + * @param p raise {@code this} to power {@code p} + * @return {@code this^p} + * @throws NotPositiveException if {@code p < 0} + * @throws NonSquareMatrixException if the matrix is not square + */ + RealMatrix power(final int p) throws NotPositiveException, NonSquareMatrixException; + + /** + * Returns matrix entries as a two-dimensional array. + * + * @return 2-dimensional array of entries + */ + double[][] getData(); + + /** + * Returns the <a href="http://mathworld.wolfram.com/MaximumAbsoluteRowSumNorm.html">maximum + * absolute row sum norm</a> of the matrix. + * + * @return norm + */ + double getNorm(); + + /** + * Returns the <a href="http://mathworld.wolfram.com/FrobeniusNorm.html">Frobenius norm</a> 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 OutOfRangeException if the indices are not valid. + * @throws NumberIsTooSmallException if {@code endRow < startRow} or {@code endColumn < + * startColumn}. + */ + RealMatrix getSubMatrix(int startRow, int endRow, int startColumn, int endColumn) + throws OutOfRangeException, NumberIsTooSmallException; + + /** + * 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 NullArgumentException if the row or column selections are {@code null} + * @throws NoDataException if the row or column selections are empty (zero length). + * @throws OutOfRangeException if the indices are not valid. + */ + RealMatrix getSubMatrix(int[] selectedRows, int[] selectedColumns) + throws NullArgumentException, NoDataException, OutOfRangeException; + + /** + * 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 OutOfRangeException if the indices are not valid. + * @throws NumberIsTooSmallException if {@code endRow < startRow} or {@code endColumn < + * startColumn}. + * @throws MatrixDimensionMismatchException if the destination array is too small. + */ + void copySubMatrix( + int startRow, int endRow, int startColumn, int endColumn, double[][] destination) + throws OutOfRangeException, NumberIsTooSmallException, MatrixDimensionMismatchException; + + /** + * 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 NullArgumentException if the row or column selections are {@code null} + * @throws NoDataException if the row or column selections are empty (zero length). + * @throws OutOfRangeException if the indices are not valid. + * @throws MatrixDimensionMismatchException if the destination array is too small. + */ + void copySubMatrix(int[] selectedRows, int[] selectedColumns, double[][] destination) + throws OutOfRangeException, + NullArgumentException, + NoDataException, + MatrixDimensionMismatchException; + + /** + * 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))} + * will result in + * + * <pre> + * 1 2 3 4 + * 5 3 4 8 + * 9 5 6 2 + * </pre> + * + * @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 NoDataException if {@code subMatrix} is empty. + * @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 NoDataException, + OutOfRangeException, + DimensionMismatchException, + NullArgumentException; + + /** + * Get 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 OutOfRangeException if the specified row index is invalid. + */ + RealMatrix getRowMatrix(int row) throws OutOfRangeException; + + /** + * Sets the specified {@code row} of {@code this} matrix to the entries of the specified row + * {@code matrix}. Row indices start at 0. + * + * @param row Row to be set. + * @param matrix Row matrix to be copied (must have one row and the same number of columns as + * the instance). + * @throws OutOfRangeException if the specified row index is invalid. + * @throws MatrixDimensionMismatchException if the row dimension of the {@code matrix} is not + * {@code 1}, or the column dimensions of {@code this} and {@code matrix} do not match. + */ + void setRowMatrix(int row, RealMatrix matrix) + throws OutOfRangeException, MatrixDimensionMismatchException; + + /** + * 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 OutOfRangeException if the specified column index is invalid. + */ + RealMatrix getColumnMatrix(int column) throws OutOfRangeException; + + /** + * Sets the specified {@code column} of {@code this} matrix to the entries of the specified + * column {@code matrix}. Column indices start at 0. + * + * @param column Column to be set. + * @param matrix Column matrix to be copied (must have one column and the same number of rows as + * the instance). + * @throws OutOfRangeException if the specified column index is invalid. + * @throws MatrixDimensionMismatchException if the column dimension of the {@code matrix} is not + * {@code 1}, or the row dimensions of {@code this} and {@code matrix} do not match. + */ + void setColumnMatrix(int column, RealMatrix matrix) + throws OutOfRangeException, MatrixDimensionMismatchException; + + /** + * Returns the entries in row number {@code row} as a vector. Row indices start at 0. + * + * @param row Row to be fetched. + * @return a row vector. + * @throws OutOfRangeException if the specified row index is invalid. + */ + RealVector getRowVector(int row) throws OutOfRangeException; + + /** + * Sets the specified {@code row} of {@code this} matrix to the entries of the specified {@code + * vector}. Row indices start at 0. + * + * @param row Row to be set. + * @param vector row vector to be copied (must have the same number of column as the instance). + * @throws OutOfRangeException if the specified row index is invalid. + * @throws MatrixDimensionMismatchException if the {@code vector} dimension does not match the + * column dimension of {@code this} matrix. + */ + void setRowVector(int row, RealVector vector) + throws OutOfRangeException, MatrixDimensionMismatchException; + + /** + * 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 OutOfRangeException if the specified column index is invalid + */ + RealVector getColumnVector(int column) throws OutOfRangeException; + + /** + * Sets the specified {@code column} of {@code this} matrix to the entries of the specified + * {@code vector}. Column indices start at 0. + * + * @param column Column to be set. + * @param vector column vector to be copied (must have the same number of rows as the instance). + * @throws OutOfRangeException if the specified column index is invalid. + * @throws MatrixDimensionMismatchException if the {@code vector} dimension does not match the + * row dimension of {@code this} matrix. + */ + void setColumnVector(int column, RealVector vector) + throws OutOfRangeException, MatrixDimensionMismatchException; + + /** + * 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 OutOfRangeException if the specified row index is not valid. + */ + double[] getRow(int row) throws OutOfRangeException; + + /** + * Sets the specified {@code row} of {@code this} matrix to the entries of the specified {@code + * array}. Row indices start at 0. + * + * @param row Row to be set. + * @param array Row matrix to be copied (must have the same number of columns as the instance) + * @throws OutOfRangeException if the specified row index is invalid. + * @throws MatrixDimensionMismatchException if the {@code array} length does not match the + * column dimension of {@code this} matrix. + */ + void setRow(int row, double[] array) + throws OutOfRangeException, MatrixDimensionMismatchException; + + /** + * 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 OutOfRangeException if the specified column index is not valid. + */ + double[] getColumn(int column) throws OutOfRangeException; + + /** + * Sets the specified {@code column} of {@code this} matrix to the entries of the specified + * {@code array}. Column indices start at 0. + * + * @param column Column to be set. + * @param array Column array to be copied (must have the same number of rows as the instance). + * @throws OutOfRangeException if the specified column index is invalid. + * @throws MatrixDimensionMismatchException if the {@code array} length does not match the row + * dimension of {@code this} matrix. + */ + void setColumn(int column, double[] array) + throws OutOfRangeException, MatrixDimensionMismatchException; + + /** + * Get the entry in the specified row and column. Row and column indices start at 0. + * + * @param row Row index of entry to be fetched. + * @param column Column index of entry to be fetched. + * @return the matrix entry at {@code (row, column)}. + * @throws OutOfRangeException if the row or column index is not valid. + */ + double getEntry(int row, int column) throws OutOfRangeException; + + /** + * Set the entry in the specified row and column. Row and column indices start at 0. + * + * @param row Row index of entry to be set. + * @param column Column index of entry to be set. + * @param value the new value of the entry. + * @throws OutOfRangeException if the row or column index is not valid + * @since 2.0 + */ + void setEntry(int row, int column, double value) throws OutOfRangeException; + + /** + * Adds (in place) the specified value to the specified entry of {@code this} matrix. Row and + * column indices start at 0. + * + * @param row Row index of the entry to be modified. + * @param column Column index of the entry to be modified. + * @param increment value to add to the matrix entry. + * @throws OutOfRangeException if the row or column index is not valid. + * @since 2.0 + */ + void addToEntry(int row, int column, double increment) throws OutOfRangeException; + + /** + * Multiplies (in place) the specified entry of {@code this} matrix by the specified value. Row + * and column indices start at 0. + * + * @param row Row index of the entry to be modified. + * @param column Column index of the entry to be modified. + * @param factor Multiplication factor for the matrix entry. + * @throws OutOfRangeException if the row or column index is not valid. + * @since 2.0 + */ + void multiplyEntry(int row, int column, double factor) throws OutOfRangeException; + + /** + * Returns the transpose of this matrix. + * + * @return transpose matrix + */ + RealMatrix 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 the trace. + * @throws NonSquareMatrixException if the matrix is not square. + */ + double getTrace() throws NonSquareMatrixException; + + /** + * Returns the result of multiplying this by the vector {@code v}. + * + * @param v the vector to operate on + * @return {@code this * v} + * @throws DimensionMismatchException if the length of {@code v} does not match the column + * dimension of {@code this}. + */ + double[] operate(double[] v) throws DimensionMismatchException; + + /** + * Returns the result of multiplying this by the vector {@code v}. + * + * @param v the vector to operate on + * @return {@code this * v} + * @throws DimensionMismatchException if the dimension of {@code v} does not match the column + * dimension of {@code this}. + */ + RealVector operate(RealVector v) throws DimensionMismatchException; + + /** + * Returns the (row) vector result of premultiplying this by the vector {@code v}. + * + * @param v the row vector to premultiply by + * @return {@code v * this} + * @throws DimensionMismatchException if the length of {@code v} does not match the row + * dimension of {@code this}. + */ + double[] preMultiply(double[] v) throws DimensionMismatchException; + + /** + * Returns the (row) vector result of premultiplying this by the vector {@code v}. + * + * @param v the row vector to premultiply by + * @return {@code v * this} + * @throws DimensionMismatchException if the dimension of {@code v} does not match the row + * dimension of {@code this}. + */ + RealVector preMultiply(RealVector v) throws DimensionMismatchException; + + /** + * 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. + * + * @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. + * + * <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. + * + * @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. + * + * <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. + * + * @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 OutOfRangeException if the indices are not valid. + * @throws NumberIsTooSmallException if {@code endRow < startRow} or {@code endColumn < + * startColumn}. + * @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) + throws OutOfRangeException, NumberIsTooSmallException; + + /** + * 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. + * + * @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 OutOfRangeException if the indices are not valid. + * @throws NumberIsTooSmallException if {@code endRow < startRow} or {@code endColumn < + * startColumn}. + * @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) + throws OutOfRangeException, NumberIsTooSmallException; + + /** + * 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. + * + * @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. + * + * <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. + * + * @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. + * + * <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. + * + * @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 OutOfRangeException if the indices are not valid. + * @throws NumberIsTooSmallException if {@code endRow < startRow} or {@code endColumn < + * startColumn}. + * @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) + throws OutOfRangeException, NumberIsTooSmallException; + + /** + * 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. + * + * @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 OutOfRangeException if the indices are not valid. + * @throws NumberIsTooSmallException if {@code endRow < startRow} or {@code endColumn < + * startColumn}. + * @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) + throws OutOfRangeException, NumberIsTooSmallException; + + /** + * 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. + * + * @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. + * + * <p>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. + * + * <p>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 OutOfRangeException if the indices are not valid. + * @throws NumberIsTooSmallException if {@code endRow < startRow} or {@code endColumn < + * startColumn}. + * @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) + throws OutOfRangeException, NumberIsTooSmallException; + + /** + * 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. + * + * @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 OutOfRangeException if the indices are not valid. + * @throws NumberIsTooSmallException if {@code endRow < startRow} or {@code endColumn < + * startColumn}. + * @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) + throws OutOfRangeException, NumberIsTooSmallException; +} |