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+/*
+ * 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;
+}