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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.Field;
+import org.apache.commons.math3.FieldElement;
+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 field-valued matrix with basic algebraic operations.
+ *
+ * <p>Matrix element indexing is 0-based -- e.g., <code>getEntry(0, 0)</code> returns the element in
+ * the first row, first column of the matrix.
+ *
+ * @param <T> the type of the field elements
+ */
+public interface FieldMatrix<T extends FieldElement<T>> extends AnyMatrix {
+ /**
+ * Get the type of field elements of the matrix.
+ *
+ * @return the type of field elements of the matrix.
+ */
+ Field<T> getField();
+
+ /**
+ * Create a new FieldMatrix<T> of the same type as the instance with the supplied row and column
+ * dimensions.
+ *
+ * @param rowDimension the number of rows in the new matrix
+ * @param columnDimension the number of columns in the new matrix
+ * @return a new matrix of the same type as the instance
+ * @throws NotStrictlyPositiveException if row or column dimension is not positive.
+ * @since 2.0
+ */
+ FieldMatrix<T> createMatrix(final int rowDimension, final int columnDimension)
+ throws NotStrictlyPositiveException;
+
+ /**
+ * Make a (deep) copy of this.
+ *
+ * @return a copy of this matrix.
+ */
+ FieldMatrix<T> copy();
+
+ /**
+ * Compute the sum of this and m.
+ *
+ * @param m Matrix to be added.
+ * @return {@code this} + {@code m}.
+ * @throws MatrixDimensionMismatchException if {@code m} is not the same size as {@code this}
+ * matrix.
+ */
+ FieldMatrix<T> add(FieldMatrix<T> m) throws MatrixDimensionMismatchException;
+
+ /**
+ * Subtract {@code m} from this matrix.
+ *
+ * @param m Matrix to be subtracted.
+ * @return {@code this} - {@code m}.
+ * @throws MatrixDimensionMismatchException if {@code m} is not the same size as {@code this}
+ * matrix.
+ */
+ FieldMatrix<T> subtract(FieldMatrix<T> m) throws MatrixDimensionMismatchException;
+
+ /**
+ * Increment each entry of this matrix.
+ *
+ * @param d Value to be added to each entry.
+ * @return {@code d} + {@code this}.
+ */
+ FieldMatrix<T> scalarAdd(T d);
+
+ /**
+ * Multiply each entry by {@code d}.
+ *
+ * @param d Value to multiply all entries by.
+ * @return {@code d} * {@code this}.
+ */
+ FieldMatrix<T> scalarMultiply(T d);
+
+ /**
+ * Postmultiply this matrix by {@code m}.
+ *
+ * @param m Matrix to postmultiply by.
+ * @return {@code this} * {@code m}.
+ * @throws DimensionMismatchException if the number of columns of {@code this} matrix is not
+ * equal to the number of rows of matrix {@code m}.
+ */
+ FieldMatrix<T> multiply(FieldMatrix<T> m) throws DimensionMismatchException;
+
+ /**
+ * Premultiply this matrix by {@code m}.
+ *
+ * @param m Matrix to premultiply by.
+ * @return {@code m} * {@code this}.
+ * @throws DimensionMismatchException if the number of columns of {@code m} differs from the
+ * number of rows of {@code this} matrix.
+ */
+ FieldMatrix<T> preMultiply(FieldMatrix<T> m) throws DimensionMismatchException;
+
+ /**
+ * Returns the result multiplying this with itself <code>p</code> times. Depending on the type
+ * of the field elements, T, instability for high powers might occur.
+ *
+ * @param p raise this to power p
+ * @return this^p
+ * @throws NotPositiveException if {@code p < 0}
+ * @throws NonSquareMatrixException if {@code this matrix} is not square
+ */
+ FieldMatrix<T> power(final int p) throws NonSquareMatrixException, NotPositiveException;
+
+ /**
+ * Returns matrix entries as a two-dimensional array.
+ *
+ * @return a 2-dimensional array of entries.
+ */
+ T[][] getData();
+
+ /**
+ * Get a submatrix. Rows and columns are indicated counting from 0 to n - 1.
+ *
+ * @param startRow Initial row index
+ * @param endRow Final row index (inclusive)
+ * @param startColumn Initial column index
+ * @param endColumn Final column index (inclusive)
+ * @return the matrix containing the data of the specified rows and columns.
+ * @throws NumberIsTooSmallException is {@code endRow < startRow} of {@code endColumn <
+ * startColumn}.
+ * @throws OutOfRangeException if the indices are not valid.
+ */
+ FieldMatrix<T> getSubMatrix(int startRow, int endRow, int startColumn, int endColumn)
+ throws NumberIsTooSmallException, OutOfRangeException;
+
+ /**
+ * Get a submatrix. Rows and columns are indicated counting from 0 to n - 1.
+ *
+ * @param selectedRows Array of row indices.
+ * @param selectedColumns Array of column indices.
+ * @return the matrix containing the data in the specified rows and columns.
+ * @throws NoDataException if {@code selectedRows} or {@code selectedColumns} is empty
+ * @throws NullArgumentException if {@code selectedRows} or {@code selectedColumns} is {@code
+ * null}.
+ * @throws OutOfRangeException if row or column selections are not valid.
+ */
+ FieldMatrix<T> getSubMatrix(int[] selectedRows, int[] selectedColumns)
+ throws NoDataException, NullArgumentException, OutOfRangeException;
+
+ /**
+ * Copy a submatrix. Rows and columns are 0-based. The designated submatrix is copied into the
+ * top left portion of the destination array.
+ *
+ * @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 array where the submatrix data should be copied (if larger than
+ * rows/columns counts, only the upper-left part will be modified).
+ * @throws MatrixDimensionMismatchException if the dimensions of {@code destination} are not
+ * large enough to hold the submatrix.
+ * @throws NumberIsTooSmallException if {@code endRow < startRow} or {@code endColumn <
+ * startColumn}.
+ * @throws OutOfRangeException if the indices are not valid.
+ */
+ void copySubMatrix(int startRow, int endRow, int startColumn, int endColumn, T[][] destination)
+ throws MatrixDimensionMismatchException, NumberIsTooSmallException, OutOfRangeException;
+
+ /**
+ * Copy a submatrix. Rows and columns are indicated counting from 0 to n - 1.
+ *
+ * @param selectedRows Array of row indices.
+ * @param selectedColumns Array of column indices.
+ * @param destination Arrays where the submatrix data should be copied (if larger than
+ * rows/columns counts, only the upper-left part will be used)
+ * @throws MatrixDimensionMismatchException if the dimensions of {@code destination} do not
+ * match those of {@code this}.
+ * @throws NoDataException if {@code selectedRows} or {@code selectedColumns} is empty
+ * @throws NullArgumentException if {@code selectedRows} or {@code selectedColumns} is {@code
+ * null}.
+ * @throws OutOfRangeException if the indices are not valid.
+ */
+ void copySubMatrix(int[] selectedRows, int[] selectedColumns, T[][] destination)
+ throws MatrixDimensionMismatchException,
+ NoDataException,
+ NullArgumentException,
+ OutOfRangeException;
+
+ /**
+ * Replace the submatrix starting at {@code (row, column)} using data in the input {@code
+ * subMatrix} array. Indexes are 0-based.
+ *
+ * <p>Example:<br>
+ * Starting with
+ *
+ * <pre>
+ * 1 2 3 4
+ * 5 6 7 8
+ * 9 0 1 2
+ * </pre>
+ *
+ * and <code>subMatrix = {{3, 4} {5,6}}</code>, invoking <code>setSubMatrix(subMatrix,1,1))
+ * </code> will result in
+ *
+ * <pre>
+ * 1 2 3 4
+ * 5 3 4 8
+ * 9 5 6 2
+ * </pre>
+ *
+ * @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 OutOfRangeException if {@code subMatrix} does not fit into this matrix from element
+ * in {@code (row, column)}.
+ * @throws NoDataException if a row or column of {@code subMatrix} is empty.
+ * @throws DimensionMismatchException if {@code subMatrix} is not rectangular (not all rows have
+ * the same length).
+ * @throws NullArgumentException if {@code subMatrix} is {@code null}.
+ * @since 2.0
+ */
+ void setSubMatrix(T[][] subMatrix, int row, int column)
+ throws DimensionMismatchException,
+ OutOfRangeException,
+ NoDataException,
+ NullArgumentException;
+
+ /**
+ * Get the entries in row number {@code row} as a row matrix.
+ *
+ * @param row Row to be fetched.
+ * @return a row matrix.
+ * @throws OutOfRangeException if the specified row index is invalid.
+ */
+ FieldMatrix<T> getRowMatrix(int row) throws OutOfRangeException;
+
+ /**
+ * Set the entries in row number {@code row} as a row matrix.
+ *
+ * @param row Row to be set.
+ * @param matrix Row matrix (must have one row and the same number of columns as the instance).
+ * @throws OutOfRangeException if the specified row index is invalid.
+ * @throws MatrixDimensionMismatchException if the matrix dimensions do not match one instance
+ * row.
+ */
+ void setRowMatrix(int row, FieldMatrix<T> matrix)
+ throws MatrixDimensionMismatchException, OutOfRangeException;
+
+ /**
+ * Get the entries in column number {@code column} as a column matrix.
+ *
+ * @param column Column to be fetched.
+ * @return a column matrix.
+ * @throws OutOfRangeException if the specified column index is invalid.
+ */
+ FieldMatrix<T> getColumnMatrix(int column) throws OutOfRangeException;
+
+ /**
+ * Set the entries in column number {@code column} as a column matrix.
+ *
+ * @param column Column to be set.
+ * @param matrix column matrix (must have one column and the same number of rows as the
+ * instance).
+ * @throws OutOfRangeException if the specified column index is invalid.
+ * @throws MatrixDimensionMismatchException if the matrix dimensions do not match one instance
+ * column.
+ */
+ void setColumnMatrix(int column, FieldMatrix<T> matrix)
+ throws MatrixDimensionMismatchException, OutOfRangeException;
+
+ /**
+ * Get the entries in row number {@code row} as a vector.
+ *
+ * @param row Row to be fetched
+ * @return a row vector.
+ * @throws OutOfRangeException if the specified row index is invalid.
+ */
+ FieldVector<T> getRowVector(int row) throws OutOfRangeException;
+
+ /**
+ * Set the entries in row number {@code row} as a vector.
+ *
+ * @param row Row to be set.
+ * @param vector row vector (must have the same number of columns as the instance).
+ * @throws OutOfRangeException if the specified row index is invalid.
+ * @throws MatrixDimensionMismatchException if the vector dimension does not match one instance
+ * row.
+ */
+ void setRowVector(int row, FieldVector<T> vector)
+ throws MatrixDimensionMismatchException, OutOfRangeException;
+
+ /**
+ * Returns the entries in column number {@code column} as a vector.
+ *
+ * @param column Column to be fetched.
+ * @return a column vector.
+ * @throws OutOfRangeException if the specified column index is invalid.
+ */
+ FieldVector<T> getColumnVector(int column) throws OutOfRangeException;
+
+ /**
+ * Set the entries in column number {@code column} as a vector.
+ *
+ * @param column Column to be set.
+ * @param vector Column vector (must have the same number of rows as the instance).
+ * @throws OutOfRangeException if the specified column index is invalid.
+ * @throws MatrixDimensionMismatchException if the vector dimension does not match one instance
+ * column.
+ */
+ void setColumnVector(int column, FieldVector<T> vector)
+ throws MatrixDimensionMismatchException, OutOfRangeException;
+
+ /**
+ * Get the entries in row number {@code row} as an array.
+ *
+ * @param row Row to be fetched.
+ * @return array of entries in the row.
+ * @throws OutOfRangeException if the specified row index is not valid.
+ */
+ T[] getRow(int row) throws OutOfRangeException;
+
+ /**
+ * Set the entries in row number {@code row} as a row matrix.
+ *
+ * @param row Row to be set.
+ * @param array Row matrix (must have the same number of columns as the instance).
+ * @throws OutOfRangeException if the specified row index is invalid.
+ * @throws MatrixDimensionMismatchException if the array size does not match one instance row.
+ */
+ void setRow(int row, T[] array) throws MatrixDimensionMismatchException, OutOfRangeException;
+
+ /**
+ * Get the entries in column number {@code col} as an array.
+ *
+ * @param column the column to be fetched
+ * @return array of entries in the column
+ * @throws OutOfRangeException if the specified column index is not valid.
+ */
+ T[] getColumn(int column) throws OutOfRangeException;
+
+ /**
+ * Set the entries in column number {@code column} as a column matrix.
+ *
+ * @param column the column to be set
+ * @param array column array (must have the same number of rows as the instance)
+ * @throws OutOfRangeException if the specified column index is invalid.
+ * @throws MatrixDimensionMismatchException if the array size does not match one instance
+ * column.
+ */
+ void setColumn(int column, T[] array)
+ throws MatrixDimensionMismatchException, OutOfRangeException;
+
+ /**
+ * Returns the entry in the specified row and column.
+ *
+ * @param row row location of entry to be fetched
+ * @param column column location of entry to be fetched
+ * @return matrix entry in row,column
+ * @throws OutOfRangeException if the row or column index is not valid.
+ */
+ T getEntry(int row, int column) throws OutOfRangeException;
+
+ /**
+ * Set the entry in the specified row and column.
+ *
+ * @param row row location of entry to be set
+ * @param column column location of entry to be set
+ * @param value matrix entry to be set in row,column
+ * @throws OutOfRangeException if the row or column index is not valid.
+ * @since 2.0
+ */
+ void setEntry(int row, int column, T value) throws OutOfRangeException;
+
+ /**
+ * Change an entry in the specified row and column.
+ *
+ * @param row Row location of entry to be set.
+ * @param column Column location of entry to be set.
+ * @param increment Value to add to the current matrix entry in {@code (row, column)}.
+ * @throws OutOfRangeException if the row or column index is not valid.
+ * @since 2.0
+ */
+ void addToEntry(int row, int column, T increment) throws OutOfRangeException;
+
+ /**
+ * Change an entry in the specified row and column.
+ *
+ * @param row Row location of entry to be set.
+ * @param column Column location of entry to be set.
+ * @param factor Multiplication factor for the current matrix entry in {@code (row,column)}
+ * @throws OutOfRangeException if the row or column index is not valid.
+ * @since 2.0
+ */
+ void multiplyEntry(int row, int column, T factor) throws OutOfRangeException;
+
+ /**
+ * Returns the transpose of this matrix.
+ *
+ * @return transpose matrix
+ */
+ FieldMatrix<T> transpose();
+
+ /**
+ * Returns the <a href="http://mathworld.wolfram.com/MatrixTrace.html">trace</a> of the matrix
+ * (the sum of the elements on the main diagonal).
+ *
+ * @return trace
+ * @throws NonSquareMatrixException if the matrix is not square.
+ */
+ T getTrace() 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 number of columns of {@code this} matrix is not
+ * equal to the size of the vector {@code v}.
+ */
+ T[] operate(T[] 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 number of columns of {@code this} matrix is not
+ * equal to the size of the vector {@code v}.
+ */
+ FieldVector<T> operate(FieldVector<T> 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 number of rows of {@code this} matrix is not equal
+ * to the size of the vector {@code v}
+ */
+ T[] preMultiply(T[] 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 number of rows of {@code this} matrix is not equal
+ * to the size of the vector {@code v}
+ */
+ FieldVector<T> preMultiply(FieldVector<T> 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(FieldMatrixPreservingVisitor)
+ * @see #walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int)
+ * @see #walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int)
+ * @see #walkInColumnOrder(FieldMatrixChangingVisitor)
+ * @see #walkInColumnOrder(FieldMatrixPreservingVisitor)
+ * @see #walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int)
+ * @see #walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int)
+ * @see #walkInOptimizedOrder(FieldMatrixChangingVisitor)
+ * @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor)
+ * @see #walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int)
+ * @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)
+ * @return the value returned by {@link FieldMatrixChangingVisitor#end()} at the end of the walk
+ */
+ T walkInRowOrder(FieldMatrixChangingVisitor<T> visitor);
+
+ /**
+ * Visit (but don't change) all matrix entries in row order.
+ *
+ * <p>Row order starts at upper left and iterating through all elements of a row from left to
+ * right before going to the leftmost element of the next row.
+ *
+ * @param visitor visitor used to process all matrix entries
+ * @see #walkInRowOrder(FieldMatrixChangingVisitor)
+ * @see #walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int)
+ * @see #walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int)
+ * @see #walkInColumnOrder(FieldMatrixChangingVisitor)
+ * @see #walkInColumnOrder(FieldMatrixPreservingVisitor)
+ * @see #walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int)
+ * @see #walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int)
+ * @see #walkInOptimizedOrder(FieldMatrixChangingVisitor)
+ * @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor)
+ * @see #walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int)
+ * @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)
+ * @return the value returned by {@link FieldMatrixPreservingVisitor#end()} at the end of the
+ * walk
+ */
+ T walkInRowOrder(FieldMatrixPreservingVisitor<T> visitor);
+
+ /**
+ * Visit (and possibly change) some matrix entries in row order.
+ *
+ * <p>Row order starts at upper left and iterating through all elements of a row from left to
+ * right before going to the leftmost element of the next row.
+ *
+ * @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(FieldMatrixChangingVisitor)
+ * @see #walkInRowOrder(FieldMatrixPreservingVisitor)
+ * @see #walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int)
+ * @see #walkInColumnOrder(FieldMatrixChangingVisitor)
+ * @see #walkInColumnOrder(FieldMatrixPreservingVisitor)
+ * @see #walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int)
+ * @see #walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int)
+ * @see #walkInOptimizedOrder(FieldMatrixChangingVisitor)
+ * @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor)
+ * @see #walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int)
+ * @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)
+ * @return the value returned by {@link FieldMatrixChangingVisitor#end()} at the end of the walk
+ */
+ T walkInRowOrder(
+ FieldMatrixChangingVisitor<T> visitor,
+ int startRow,
+ int endRow,
+ int startColumn,
+ int endColumn)
+ 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(FieldMatrixChangingVisitor)
+ * @see #walkInRowOrder(FieldMatrixPreservingVisitor)
+ * @see #walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int)
+ * @see #walkInColumnOrder(FieldMatrixChangingVisitor)
+ * @see #walkInColumnOrder(FieldMatrixPreservingVisitor)
+ * @see #walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int)
+ * @see #walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int)
+ * @see #walkInOptimizedOrder(FieldMatrixChangingVisitor)
+ * @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor)
+ * @see #walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int)
+ * @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)
+ * @return the value returned by {@link FieldMatrixPreservingVisitor#end()} at the end of the
+ * walk
+ */
+ T walkInRowOrder(
+ FieldMatrixPreservingVisitor<T> visitor,
+ int startRow,
+ int endRow,
+ int startColumn,
+ int endColumn)
+ 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(FieldMatrixChangingVisitor)
+ * @see #walkInRowOrder(FieldMatrixPreservingVisitor)
+ * @see #walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int)
+ * @see #walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int)
+ * @see #walkInColumnOrder(FieldMatrixPreservingVisitor)
+ * @see #walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int)
+ * @see #walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int)
+ * @see #walkInOptimizedOrder(FieldMatrixChangingVisitor)
+ * @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor)
+ * @see #walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int)
+ * @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)
+ * @return the value returned by {@link FieldMatrixChangingVisitor#end()} at the end of the walk
+ */
+ T walkInColumnOrder(FieldMatrixChangingVisitor<T> visitor);
+
+ /**
+ * Visit (but don't change) all matrix entries in column order.
+ *
+ * <p>Column order starts at upper left and iterating through all elements of a column from top
+ * to bottom before going to the topmost element of the next column.
+ *
+ * @param visitor visitor used to process all matrix entries
+ * @see #walkInRowOrder(FieldMatrixChangingVisitor)
+ * @see #walkInRowOrder(FieldMatrixPreservingVisitor)
+ * @see #walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int)
+ * @see #walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int)
+ * @see #walkInColumnOrder(FieldMatrixChangingVisitor)
+ * @see #walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int)
+ * @see #walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int)
+ * @see #walkInOptimizedOrder(FieldMatrixChangingVisitor)
+ * @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor)
+ * @see #walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int)
+ * @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)
+ * @return the value returned by {@link FieldMatrixPreservingVisitor#end()} at the end of the
+ * walk
+ */
+ T walkInColumnOrder(FieldMatrixPreservingVisitor<T> visitor);
+
+ /**
+ * Visit (and possibly change) some matrix entries in column order.
+ *
+ * <p>Column order starts at upper left and iterating through all elements of a column from top
+ * to bottom before going to the topmost element of the next column.
+ *
+ * @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 NumberIsTooSmallException if {@code endRow < startRow} or {@code endColumn <
+ * startColumn}.
+ * @throws OutOfRangeException if the indices are not valid.
+ * @see #walkInRowOrder(FieldMatrixChangingVisitor)
+ * @see #walkInRowOrder(FieldMatrixPreservingVisitor)
+ * @see #walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int)
+ * @see #walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int)
+ * @see #walkInColumnOrder(FieldMatrixChangingVisitor)
+ * @see #walkInColumnOrder(FieldMatrixPreservingVisitor)
+ * @see #walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int)
+ * @see #walkInOptimizedOrder(FieldMatrixChangingVisitor)
+ * @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor)
+ * @see #walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int)
+ * @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)
+ * @return the value returned by {@link FieldMatrixChangingVisitor#end()} at the end of the walk
+ */
+ T walkInColumnOrder(
+ FieldMatrixChangingVisitor<T> visitor,
+ int startRow,
+ int endRow,
+ int startColumn,
+ int endColumn)
+ throws NumberIsTooSmallException, OutOfRangeException;
+
+ /**
+ * 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 NumberIsTooSmallException if {@code endRow < startRow} or {@code endColumn <
+ * startColumn}.
+ * @throws OutOfRangeException if the indices are not valid.
+ * @see #walkInRowOrder(FieldMatrixChangingVisitor)
+ * @see #walkInRowOrder(FieldMatrixPreservingVisitor)
+ * @see #walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int)
+ * @see #walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int)
+ * @see #walkInColumnOrder(FieldMatrixChangingVisitor)
+ * @see #walkInColumnOrder(FieldMatrixPreservingVisitor)
+ * @see #walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int)
+ * @see #walkInOptimizedOrder(FieldMatrixChangingVisitor)
+ * @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor)
+ * @see #walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int)
+ * @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)
+ * @return the value returned by {@link FieldMatrixPreservingVisitor#end()} at the end of the
+ * walk
+ */
+ T walkInColumnOrder(
+ FieldMatrixPreservingVisitor<T> visitor,
+ int startRow,
+ int endRow,
+ int startColumn,
+ int endColumn)
+ throws NumberIsTooSmallException, OutOfRangeException;
+
+ /**
+ * 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(FieldMatrixChangingVisitor)
+ * @see #walkInRowOrder(FieldMatrixPreservingVisitor)
+ * @see #walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int)
+ * @see #walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int)
+ * @see #walkInColumnOrder(FieldMatrixChangingVisitor)
+ * @see #walkInColumnOrder(FieldMatrixPreservingVisitor)
+ * @see #walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int)
+ * @see #walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int)
+ * @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor)
+ * @see #walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int)
+ * @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)
+ * @return the value returned by {@link FieldMatrixChangingVisitor#end()} at the end of the walk
+ */
+ T walkInOptimizedOrder(FieldMatrixChangingVisitor<T> visitor);
+
+ /**
+ * Visit (but don't change) all matrix entries using the fastest possible order.
+ *
+ * <p>The fastest walking order depends on the exact matrix class. It may be different from
+ * traditional row or column orders.
+ *
+ * @param visitor visitor used to process all matrix entries
+ * @see #walkInRowOrder(FieldMatrixChangingVisitor)
+ * @see #walkInRowOrder(FieldMatrixPreservingVisitor)
+ * @see #walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int)
+ * @see #walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int)
+ * @see #walkInColumnOrder(FieldMatrixChangingVisitor)
+ * @see #walkInColumnOrder(FieldMatrixPreservingVisitor)
+ * @see #walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int)
+ * @see #walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int)
+ * @see #walkInOptimizedOrder(FieldMatrixChangingVisitor)
+ * @see #walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int)
+ * @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)
+ * @return the value returned by {@link FieldMatrixPreservingVisitor#end()} at the end of the
+ * walk
+ */
+ T walkInOptimizedOrder(FieldMatrixPreservingVisitor<T> visitor);
+
+ /**
+ * Visit (and possibly change) some matrix entries using the fastest possible order.
+ *
+ * <p>The fastest walking order depends on the exact matrix class. It may be different from
+ * traditional row or column orders.
+ *
+ * @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 NumberIsTooSmallException if {@code endRow < startRow} or {@code endColumn <
+ * startColumn}.
+ * @throws OutOfRangeException if the indices are not valid.
+ * @see #walkInRowOrder(FieldMatrixChangingVisitor)
+ * @see #walkInRowOrder(FieldMatrixPreservingVisitor)
+ * @see #walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int)
+ * @see #walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int)
+ * @see #walkInColumnOrder(FieldMatrixChangingVisitor)
+ * @see #walkInColumnOrder(FieldMatrixPreservingVisitor)
+ * @see #walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int)
+ * @see #walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int)
+ * @see #walkInOptimizedOrder(FieldMatrixChangingVisitor)
+ * @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor)
+ * @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor, int, int, int, int)
+ * @return the value returned by {@link FieldMatrixChangingVisitor#end()} at the end of the walk
+ */
+ T walkInOptimizedOrder(
+ FieldMatrixChangingVisitor<T> visitor,
+ int startRow,
+ int endRow,
+ int startColumn,
+ int endColumn)
+ throws NumberIsTooSmallException, OutOfRangeException;
+
+ /**
+ * 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 NumberIsTooSmallException if {@code endRow < startRow} or {@code endColumn <
+ * startColumn}.
+ * @throws OutOfRangeException if the indices are not valid.
+ * @see #walkInRowOrder(FieldMatrixChangingVisitor)
+ * @see #walkInRowOrder(FieldMatrixPreservingVisitor)
+ * @see #walkInRowOrder(FieldMatrixChangingVisitor, int, int, int, int)
+ * @see #walkInRowOrder(FieldMatrixPreservingVisitor, int, int, int, int)
+ * @see #walkInColumnOrder(FieldMatrixChangingVisitor)
+ * @see #walkInColumnOrder(FieldMatrixPreservingVisitor)
+ * @see #walkInColumnOrder(FieldMatrixChangingVisitor, int, int, int, int)
+ * @see #walkInColumnOrder(FieldMatrixPreservingVisitor, int, int, int, int)
+ * @see #walkInOptimizedOrder(FieldMatrixChangingVisitor)
+ * @see #walkInOptimizedOrder(FieldMatrixPreservingVisitor)
+ * @see #walkInOptimizedOrder(FieldMatrixChangingVisitor, int, int, int, int)
+ * @return the value returned by {@link FieldMatrixPreservingVisitor#end()} at the end of the
+ * walk
+ */
+ T walkInOptimizedOrder(
+ FieldMatrixPreservingVisitor<T> visitor,
+ int startRow,
+ int endRow,
+ int startColumn,
+ int endColumn)
+ throws NumberIsTooSmallException, OutOfRangeException;
+}