/*
* Licensed to the Apache Software Foundation (ASF) under one or more
* contributor license agreements. See the NOTICE file distributed with
* this work for additional information regarding copyright ownership.
* The ASF licenses this file to You under the Apache License, Version 2.0
* (the "License"); you may not use this file except in compliance with
* the License. You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
package org.apache.commons.math.linear;
import java.lang.reflect.Array;
import java.util.Arrays;
import org.apache.commons.math.Field;
import org.apache.commons.math.FieldElement;
import org.apache.commons.math.MathRuntimeException;
import org.apache.commons.math.linear.MatrixVisitorException;
import org.apache.commons.math.exception.util.LocalizedFormats;
/**
* Basic implementation of {@link FieldMatrix} methods regardless of the underlying storage.
* <p>All the methods implemented here use {@link #getEntry(int, int)} to access
* matrix elements. Derived class can provide faster implementations. </p>
*
* @param <T> the type of the field elements
* @version $Revision: 1073158 $ $Date: 2011-02-21 22:46:52 +0100 (lun. 21 févr. 2011) $
* @since 2.0
*/
public abstract class AbstractFieldMatrix<T extends FieldElement<T>> implements FieldMatrix<T> {
/** Field to which the elements belong. */
private final Field<T> field;
/**
* Constructor for use with Serializable
*/
protected AbstractFieldMatrix() {
field = null;
}
/**
* Creates a matrix with no data
* @param field field to which the elements belong
*/
protected AbstractFieldMatrix(final Field<T> field) {
this.field = field;
}
/**
* Create a new FieldMatrix<T> with the supplied row and column dimensions.
*
* @param field field to which the elements belong
* @param rowDimension the number of rows in the new matrix
* @param columnDimension the number of columns in the new matrix
* @throws IllegalArgumentException if row or column dimension is not positive
*/
protected AbstractFieldMatrix(final Field<T> field,
final int rowDimension, final int columnDimension)
throws IllegalArgumentException {
if (rowDimension < 1 ) {
throw MathRuntimeException.createIllegalArgumentException(
LocalizedFormats.INSUFFICIENT_DIMENSION, rowDimension, 1);
}
if (columnDimension < 1) {
throw MathRuntimeException.createIllegalArgumentException(
LocalizedFormats.INSUFFICIENT_DIMENSION, columnDimension, 1);
}
this.field = field;
}
/**
* Get the elements type from an array.
* @param <T> the type of the field elements
* @param d data array
* @return field to which array elements belong
* @exception IllegalArgumentException if array is empty
*/
protected static <T extends FieldElement<T>> Field<T> extractField(final T[][] d)
throws IllegalArgumentException {
if (d.length == 0) {
throw MathRuntimeException.createIllegalArgumentException(LocalizedFormats.AT_LEAST_ONE_ROW);
}
if (d[0].length == 0) {
throw MathRuntimeException.createIllegalArgumentException(LocalizedFormats.AT_LEAST_ONE_COLUMN);
}
return d[0][0].getField();
}
/**
* Get the elements type from an array.
* @param <T> the type of the field elements
* @param d data array
* @return field to which array elements belong
* @exception IllegalArgumentException if array is empty
*/
protected static <T extends FieldElement<T>> Field<T> extractField(final T[] d)
throws IllegalArgumentException {
if (d.length == 0) {
throw MathRuntimeException.createIllegalArgumentException(LocalizedFormats.AT_LEAST_ONE_ROW);
}
return d[0].getField();
}
/** Build an array of elements.
* <p>
* Complete arrays are filled with field.getZero()
* </p>
* @param <T> the type of the field elements
* @param field field to which array elements belong
* @param rows number of rows
* @param columns number of columns (may be negative to build partial
* arrays in the same way <code>new Field[rows][]</code> works)
* @return a new array
*/
@SuppressWarnings("unchecked")
protected static <T extends FieldElement<T>> T[][] buildArray(final Field<T> field,
final int rows,
final int columns) {
if (columns < 0) {
T[] dummyRow = (T[]) Array.newInstance(field.getZero().getClass(), 0);
return (T[][]) Array.newInstance(dummyRow.getClass(), rows);
}
T[][] array =
(T[][]) Array.newInstance(field.getZero().getClass(), new int[] { rows, columns });
for (int i = 0; i < array.length; ++i) {
Arrays.fill(array[i], field.getZero());
}
return array;
}
/** Build an array of elements.
* <p>
* Arrays are filled with field.getZero()
* </p>
* @param <T> the type of the field elements
* @param field field to which array elements belong
* @param length of the array
* @return a new array
*/
protected static <T extends FieldElement<T>> T[] buildArray(final Field<T> field,
final int length) {
@SuppressWarnings("unchecked") // OK because field must be correct class
T[] array = (T[]) Array.newInstance(field.getZero().getClass(), length);
Arrays.fill(array, field.getZero());
return array;
}
/** {@inheritDoc} */
public Field<T> getField() {
return field;
}
/** {@inheritDoc} */
public abstract FieldMatrix<T> createMatrix(final int rowDimension, final int columnDimension)
throws IllegalArgumentException;
/** {@inheritDoc} */
public abstract FieldMatrix<T> copy();
/** {@inheritDoc} */
public FieldMatrix<T> add(FieldMatrix<T> m) throws IllegalArgumentException {
// safety check
checkAdditionCompatible(m);
final int rowCount = getRowDimension();
final int columnCount = getColumnDimension();
final FieldMatrix<T> out = createMatrix(rowCount, columnCount);
for (int row = 0; row < rowCount; ++row) {
for (int col = 0; col < columnCount; ++col) {
out.setEntry(row, col, getEntry(row, col).add(m.getEntry(row, col)));
}
}
return out;
}
/** {@inheritDoc} */
public FieldMatrix<T> subtract(final FieldMatrix<T> m) throws IllegalArgumentException {
// safety check
checkSubtractionCompatible(m);
final int rowCount = getRowDimension();
final int columnCount = getColumnDimension();
final FieldMatrix<T> out = createMatrix(rowCount, columnCount);
for (int row = 0; row < rowCount; ++row) {
for (int col = 0; col < columnCount; ++col) {
out.setEntry(row, col, getEntry(row, col).subtract(m.getEntry(row, col)));
}
}
return out;
}
/** {@inheritDoc} */
public FieldMatrix<T> scalarAdd(final T d) {
final int rowCount = getRowDimension();
final int columnCount = getColumnDimension();
final FieldMatrix<T> out = createMatrix(rowCount, columnCount);
for (int row = 0; row < rowCount; ++row) {
for (int col = 0; col < columnCount; ++col) {
out.setEntry(row, col, getEntry(row, col).add(d));
}
}
return out;
}
/** {@inheritDoc} */
public FieldMatrix<T> scalarMultiply(final T d) {
final int rowCount = getRowDimension();
final int columnCount = getColumnDimension();
final FieldMatrix<T> out = createMatrix(rowCount, columnCount);
for (int row = 0; row < rowCount; ++row) {
for (int col = 0; col < columnCount; ++col) {
out.setEntry(row, col, getEntry(row, col).multiply(d));
}
}
return out;
}
/** {@inheritDoc} */
public FieldMatrix<T> multiply(final FieldMatrix<T> m)
throws IllegalArgumentException {
// safety check
checkMultiplicationCompatible(m);
final int nRows = getRowDimension();
final int nCols = m.getColumnDimension();
final int nSum = getColumnDimension();
final FieldMatrix<T> out = createMatrix(nRows, nCols);
for (int row = 0; row < nRows; ++row) {
for (int col = 0; col < nCols; ++col) {
T sum = field.getZero();
for (int i = 0; i < nSum; ++i) {
sum = sum.add(getEntry(row, i).multiply(m.getEntry(i, col)));
}
out.setEntry(row, col, sum);
}
}
return out;
}
/** {@inheritDoc} */
public FieldMatrix<T> preMultiply(final FieldMatrix<T> m)
throws IllegalArgumentException {
return m.multiply(this);
}
/** {@inheritDoc} */
public T[][] getData() {
final T[][] data = buildArray(field, getRowDimension(), getColumnDimension());
for (int i = 0; i < data.length; ++i) {
final T[] dataI = data[i];
for (int j = 0; j < dataI.length; ++j) {
dataI[j] = getEntry(i, j);
}
}
return data;
}
/** {@inheritDoc} */
public FieldMatrix<T> getSubMatrix(final int startRow, final int endRow,
final int startColumn, final int endColumn)
throws MatrixIndexException {
checkSubMatrixIndex(startRow, endRow, startColumn, endColumn);
final FieldMatrix<T> subMatrix =
createMatrix(endRow - startRow + 1, endColumn - startColumn + 1);
for (int i = startRow; i <= endRow; ++i) {
for (int j = startColumn; j <= endColumn; ++j) {
subMatrix.setEntry(i - startRow, j - startColumn, getEntry(i, j));
}
}
return subMatrix;
}
/** {@inheritDoc} */
public FieldMatrix<T> getSubMatrix(final int[] selectedRows, final int[] selectedColumns)
throws MatrixIndexException {
// safety checks
checkSubMatrixIndex(selectedRows, selectedColumns);
// copy entries
final FieldMatrix<T> subMatrix =
createMatrix(selectedRows.length, selectedColumns.length);
subMatrix.walkInOptimizedOrder(new DefaultFieldMatrixChangingVisitor<T>(field.getZero()) {
/** {@inheritDoc} */
@Override
public T visit(final int row, final int column, final T value) {
return getEntry(selectedRows[row], selectedColumns[column]);
}
});
return subMatrix;
}
/** {@inheritDoc} */
public void copySubMatrix(final int startRow, final int endRow,
final int startColumn, final int endColumn,
final T[][] destination)
throws MatrixIndexException, IllegalArgumentException {
// safety checks
checkSubMatrixIndex(startRow, endRow, startColumn, endColumn);
final int rowsCount = endRow + 1 - startRow;
final int columnsCount = endColumn + 1 - startColumn;
if ((destination.length < rowsCount) || (destination[0].length < columnsCount)) {
throw MathRuntimeException.createIllegalArgumentException(
LocalizedFormats.DIMENSIONS_MISMATCH_2x2,
destination.length, destination[0].length,
rowsCount, columnsCount);
}
// copy entries
walkInOptimizedOrder(new DefaultFieldMatrixPreservingVisitor<T>(field.getZero()) {
/** Initial row index. */
private int startRow;
/** Initial column index. */
private int startColumn;
/** {@inheritDoc} */
@Override
public void start(final int rows, final int columns,
final int startRow, final int endRow,
final int startColumn, final int endColumn) {
this.startRow = startRow;
this.startColumn = startColumn;
}
/** {@inheritDoc} */
@Override
public void visit(final int row, final int column, final T value) {
destination[row - startRow][column - startColumn] = value;
}
}, startRow, endRow, startColumn, endColumn);
}
/** {@inheritDoc} */
public void copySubMatrix(int[] selectedRows, int[] selectedColumns, T[][] destination)
throws MatrixIndexException, IllegalArgumentException {
// safety checks
checkSubMatrixIndex(selectedRows, selectedColumns);
if ((destination.length < selectedRows.length) ||
(destination[0].length < selectedColumns.length)) {
throw MathRuntimeException.createIllegalArgumentException(
LocalizedFormats.DIMENSIONS_MISMATCH_2x2,
destination.length, destination[0].length,
selectedRows.length, selectedColumns.length);
}
// copy entries
for (int i = 0; i < selectedRows.length; i++) {
final T[] destinationI = destination[i];
for (int j = 0; j < selectedColumns.length; j++) {
destinationI[j] = getEntry(selectedRows[i], selectedColumns[j]);
}
}
}
/** {@inheritDoc} */
public void setSubMatrix(final T[][] subMatrix, final int row, final int column)
throws MatrixIndexException {
final int nRows = subMatrix.length;
if (nRows == 0) {
throw MathRuntimeException.createIllegalArgumentException(LocalizedFormats.AT_LEAST_ONE_ROW);
}
final int nCols = subMatrix[0].length;
if (nCols == 0) {
throw MathRuntimeException.createIllegalArgumentException(LocalizedFormats.AT_LEAST_ONE_COLUMN);
}
for (int r = 1; r < nRows; ++r) {
if (subMatrix[r].length != nCols) {
throw MathRuntimeException.createIllegalArgumentException(
LocalizedFormats.DIFFERENT_ROWS_LENGTHS,
nCols, subMatrix[r].length);
}
}
checkRowIndex(row);
checkColumnIndex(column);
checkRowIndex(nRows + row - 1);
checkColumnIndex(nCols + column - 1);
for (int i = 0; i < nRows; ++i) {
for (int j = 0; j < nCols; ++j) {
setEntry(row + i, column + j, subMatrix[i][j]);
}
}
}
/** {@inheritDoc} */
public FieldMatrix<T> getRowMatrix(final int row)
throws MatrixIndexException {
checkRowIndex(row);
final int nCols = getColumnDimension();
final FieldMatrix<T> out = createMatrix(1, nCols);
for (int i = 0; i < nCols; ++i) {
out.setEntry(0, i, getEntry(row, i));
}
return out;
}
/** {@inheritDoc} */
public void setRowMatrix(final int row, final FieldMatrix<T> matrix)
throws MatrixIndexException, InvalidMatrixException {
checkRowIndex(row);
final int nCols = getColumnDimension();
if ((matrix.getRowDimension() != 1) ||
(matrix.getColumnDimension() != nCols)) {
throw new InvalidMatrixException(
LocalizedFormats.DIMENSIONS_MISMATCH_2x2,
matrix.getRowDimension(), matrix.getColumnDimension(), 1, nCols);
}
for (int i = 0; i < nCols; ++i) {
setEntry(row, i, matrix.getEntry(0, i));
}
}
/** {@inheritDoc} */
public FieldMatrix<T> getColumnMatrix(final int column)
throws MatrixIndexException {
checkColumnIndex(column);
final int nRows = getRowDimension();
final FieldMatrix<T> out = createMatrix(nRows, 1);
for (int i = 0; i < nRows; ++i) {
out.setEntry(i, 0, getEntry(i, column));
}
return out;
}
/** {@inheritDoc} */
public void setColumnMatrix(final int column, final FieldMatrix<T> matrix)
throws MatrixIndexException, InvalidMatrixException {
checkColumnIndex(column);
final int nRows = getRowDimension();
if ((matrix.getRowDimension() != nRows) ||
(matrix.getColumnDimension() != 1)) {
throw new InvalidMatrixException(
LocalizedFormats.DIMENSIONS_MISMATCH_2x2,
matrix.getRowDimension(), matrix.getColumnDimension(), nRows, 1);
}
for (int i = 0; i < nRows; ++i) {
setEntry(i, column, matrix.getEntry(i, 0));
}
}
/** {@inheritDoc} */
public FieldVector<T> getRowVector(final int row)
throws MatrixIndexException {
return new ArrayFieldVector<T>(getRow(row), false);
}
/** {@inheritDoc} */
public void setRowVector(final int row, final FieldVector<T> vector)
throws MatrixIndexException, InvalidMatrixException {
checkRowIndex(row);
final int nCols = getColumnDimension();
if (vector.getDimension() != nCols) {
throw new InvalidMatrixException(
LocalizedFormats.DIMENSIONS_MISMATCH_2x2,
1, vector.getDimension(), 1, nCols);
}
for (int i = 0; i < nCols; ++i) {
setEntry(row, i, vector.getEntry(i));
}
}
/** {@inheritDoc} */
public FieldVector<T> getColumnVector(final int column)
throws MatrixIndexException {
return new ArrayFieldVector<T>(getColumn(column), false);
}
/** {@inheritDoc} */
public void setColumnVector(final int column, final FieldVector<T> vector)
throws MatrixIndexException, InvalidMatrixException {
checkColumnIndex(column);
final int nRows = getRowDimension();
if (vector.getDimension() != nRows) {
throw new InvalidMatrixException(
LocalizedFormats.DIMENSIONS_MISMATCH_2x2,
vector.getDimension(), 1, nRows, 1);
}
for (int i = 0; i < nRows; ++i) {
setEntry(i, column, vector.getEntry(i));
}
}
/** {@inheritDoc} */
public T[] getRow(final int row)
throws MatrixIndexException {
checkRowIndex(row);
final int nCols = getColumnDimension();
final T[] out = buildArray(field, nCols);
for (int i = 0; i < nCols; ++i) {
out[i] = getEntry(row, i);
}
return out;
}
/** {@inheritDoc} */
public void setRow(final int row, final T[] array)
throws MatrixIndexException, InvalidMatrixException {
checkRowIndex(row);
final int nCols = getColumnDimension();
if (array.length != nCols) {
throw new InvalidMatrixException(
LocalizedFormats.DIMENSIONS_MISMATCH_2x2,
1, array.length, 1, nCols);
}
for (int i = 0; i < nCols; ++i) {
setEntry(row, i, array[i]);
}
}
/** {@inheritDoc} */
public T[] getColumn(final int column)
throws MatrixIndexException {
checkColumnIndex(column);
final int nRows = getRowDimension();
final T[] out = buildArray(field, nRows);
for (int i = 0; i < nRows; ++i) {
out[i] = getEntry(i, column);
}
return out;
}
/** {@inheritDoc} */
public void setColumn(final int column, final T[] array)
throws MatrixIndexException, InvalidMatrixException {
checkColumnIndex(column);
final int nRows = getRowDimension();
if (array.length != nRows) {
throw new InvalidMatrixException(
LocalizedFormats.DIMENSIONS_MISMATCH_2x2,
array.length, 1, nRows, 1);
}
for (int i = 0; i < nRows; ++i) {
setEntry(i, column, array[i]);
}
}
/** {@inheritDoc} */
public abstract T getEntry(int row, int column)
throws MatrixIndexException;
/** {@inheritDoc} */
public abstract void setEntry(int row, int column, T value)
throws MatrixIndexException;
/** {@inheritDoc} */
public abstract void addToEntry(int row, int column, T increment)
throws MatrixIndexException;
/** {@inheritDoc} */
public abstract void multiplyEntry(int row, int column, T factor)
throws MatrixIndexException;
/** {@inheritDoc} */
public FieldMatrix<T> transpose() {
final int nRows = getRowDimension();
final int nCols = getColumnDimension();
final FieldMatrix<T> out = createMatrix(nCols, nRows);
walkInOptimizedOrder(new DefaultFieldMatrixPreservingVisitor<T>(field.getZero()) {
/** {@inheritDoc} */
@Override
public void visit(final int row, final int column, final T value) {
out.setEntry(column, row, value);
}
});
return out;
}
/** {@inheritDoc} */
public boolean isSquare() {
return getColumnDimension() == getRowDimension();
}
/** {@inheritDoc} */
public abstract int getRowDimension();
/** {@inheritDoc} */
public abstract int getColumnDimension();
/** {@inheritDoc} */
public T getTrace()
throws NonSquareMatrixException {
final int nRows = getRowDimension();
final int nCols = getColumnDimension();
if (nRows != nCols) {
throw new NonSquareMatrixException(nRows, nCols);
}
T trace = field.getZero();
for (int i = 0; i < nRows; ++i) {
trace = trace.add(getEntry(i, i));
}
return trace;
}
/** {@inheritDoc} */
public T[] operate(final T[] v)
throws IllegalArgumentException {
final int nRows = getRowDimension();
final int nCols = getColumnDimension();
if (v.length != nCols) {
throw MathRuntimeException.createIllegalArgumentException(
LocalizedFormats.VECTOR_LENGTH_MISMATCH,
v.length, nCols);
}
final T[] out = buildArray(field, nRows);
for (int row = 0; row < nRows; ++row) {
T sum = field.getZero();
for (int i = 0; i < nCols; ++i) {
sum = sum.add(getEntry(row, i).multiply(v[i]));
}
out[row] = sum;
}
return out;
}
/** {@inheritDoc} */
public FieldVector<T> operate(final FieldVector<T> v)
throws IllegalArgumentException {
try {
return new ArrayFieldVector<T>(operate(((ArrayFieldVector<T>) v).getDataRef()), false);
} catch (ClassCastException cce) {
final int nRows = getRowDimension();
final int nCols = getColumnDimension();
if (v.getDimension() != nCols) {
throw MathRuntimeException.createIllegalArgumentException(
LocalizedFormats.VECTOR_LENGTH_MISMATCH,
v.getDimension(), nCols);
}
final T[] out = buildArray(field, nRows);
for (int row = 0; row < nRows; ++row) {
T sum = field.getZero();
for (int i = 0; i < nCols; ++i) {
sum = sum.add(getEntry(row, i).multiply(v.getEntry(i)));
}
out[row] = sum;
}
return new ArrayFieldVector<T>(out, false);
}
}
/** {@inheritDoc} */
public T[] preMultiply(final T[] v)
throws IllegalArgumentException {
final int nRows = getRowDimension();
final int nCols = getColumnDimension();
if (v.length != nRows) {
throw MathRuntimeException.createIllegalArgumentException(
LocalizedFormats.VECTOR_LENGTH_MISMATCH,
v.length, nRows);
}
final T[] out = buildArray(field, nCols);
for (int col = 0; col < nCols; ++col) {
T sum = field.getZero();
for (int i = 0; i < nRows; ++i) {
sum = sum.add(getEntry(i, col).multiply(v[i]));
}
out[col] = sum;
}
return out;
}
/** {@inheritDoc} */
public FieldVector<T> preMultiply(final FieldVector<T> v)
throws IllegalArgumentException {
try {
return new ArrayFieldVector<T>(preMultiply(((ArrayFieldVector<T>) v).getDataRef()), false);
} catch (ClassCastException cce) {
final int nRows = getRowDimension();
final int nCols = getColumnDimension();
if (v.getDimension() != nRows) {
throw MathRuntimeException.createIllegalArgumentException(
LocalizedFormats.VECTOR_LENGTH_MISMATCH,
v.getDimension(), nRows);
}
final T[] out = buildArray(field, nCols);
for (int col = 0; col < nCols; ++col) {
T sum = field.getZero();
for (int i = 0; i < nRows; ++i) {
sum = sum.add(getEntry(i, col).multiply(v.getEntry(i)));
}
out[col] = sum;
}
return new ArrayFieldVector<T>(out);
}
}
/** {@inheritDoc} */
public T walkInRowOrder(final FieldMatrixChangingVisitor<T> visitor)
throws MatrixVisitorException {
final int rows = getRowDimension();
final int columns = getColumnDimension();
visitor.start(rows, columns, 0, rows - 1, 0, columns - 1);
for (int row = 0; row < rows; ++row) {
for (int column = 0; column < columns; ++column) {
final T oldValue = getEntry(row, column);
final T newValue = visitor.visit(row, column, oldValue);
setEntry(row, column, newValue);
}
}
return visitor.end();
}
/** {@inheritDoc} */
public T walkInRowOrder(final FieldMatrixPreservingVisitor<T> visitor)
throws MatrixVisitorException {
final int rows = getRowDimension();
final int columns = getColumnDimension();
visitor.start(rows, columns, 0, rows - 1, 0, columns - 1);
for (int row = 0; row < rows; ++row) {
for (int column = 0; column < columns; ++column) {
visitor.visit(row, column, getEntry(row, column));
}
}
return visitor.end();
}
/** {@inheritDoc} */
public T walkInRowOrder(final FieldMatrixChangingVisitor<T> visitor,
final int startRow, final int endRow,
final int startColumn, final int endColumn)
throws MatrixIndexException, MatrixVisitorException {
checkSubMatrixIndex(startRow, endRow, startColumn, endColumn);
visitor.start(getRowDimension(), getColumnDimension(),
startRow, endRow, startColumn, endColumn);
for (int row = startRow; row <= endRow; ++row) {
for (int column = startColumn; column <= endColumn; ++column) {
final T oldValue = getEntry(row, column);
final T newValue = visitor.visit(row, column, oldValue);
setEntry(row, column, newValue);
}
}
return visitor.end();
}
/** {@inheritDoc} */
public T walkInRowOrder(final FieldMatrixPreservingVisitor<T> visitor,
final int startRow, final int endRow,
final int startColumn, final int endColumn)
throws MatrixIndexException, MatrixVisitorException {
checkSubMatrixIndex(startRow, endRow, startColumn, endColumn);
visitor.start(getRowDimension(), getColumnDimension(),
startRow, endRow, startColumn, endColumn);
for (int row = startRow; row <= endRow; ++row) {
for (int column = startColumn; column <= endColumn; ++column) {
visitor.visit(row, column, getEntry(row, column));
}
}
return visitor.end();
}
/** {@inheritDoc} */
public T walkInColumnOrder(final FieldMatrixChangingVisitor<T> visitor)
throws MatrixVisitorException {
final int rows = getRowDimension();
final int columns = getColumnDimension();
visitor.start(rows, columns, 0, rows - 1, 0, columns - 1);
for (int column = 0; column < columns; ++column) {
for (int row = 0; row < rows; ++row) {
final T oldValue = getEntry(row, column);
final T newValue = visitor.visit(row, column, oldValue);
setEntry(row, column, newValue);
}
}
return visitor.end();
}
/** {@inheritDoc} */
public T walkInColumnOrder(final FieldMatrixPreservingVisitor<T> visitor)
throws MatrixVisitorException {
final int rows = getRowDimension();
final int columns = getColumnDimension();
visitor.start(rows, columns, 0, rows - 1, 0, columns - 1);
for (int column = 0; column < columns; ++column) {
for (int row = 0; row < rows; ++row) {
visitor.visit(row, column, getEntry(row, column));
}
}
return visitor.end();
}
/** {@inheritDoc} */
public T walkInColumnOrder(final FieldMatrixChangingVisitor<T> visitor,
final int startRow, final int endRow,
final int startColumn, final int endColumn)
throws MatrixIndexException, MatrixVisitorException {
checkSubMatrixIndex(startRow, endRow, startColumn, endColumn);
visitor.start(getRowDimension(), getColumnDimension(),
startRow, endRow, startColumn, endColumn);
for (int column = startColumn; column <= endColumn; ++column) {
for (int row = startRow; row <= endRow; ++row) {
final T oldValue = getEntry(row, column);
final T newValue = visitor.visit(row, column, oldValue);
setEntry(row, column, newValue);
}
}
return visitor.end();
}
/** {@inheritDoc} */
public T walkInColumnOrder(final FieldMatrixPreservingVisitor<T> visitor,
final int startRow, final int endRow,
final int startColumn, final int endColumn)
throws MatrixIndexException, MatrixVisitorException {
checkSubMatrixIndex(startRow, endRow, startColumn, endColumn);
visitor.start(getRowDimension(), getColumnDimension(),
startRow, endRow, startColumn, endColumn);
for (int column = startColumn; column <= endColumn; ++column) {
for (int row = startRow; row <= endRow; ++row) {
visitor.visit(row, column, getEntry(row, column));
}
}
return visitor.end();
}
/** {@inheritDoc} */
public T walkInOptimizedOrder(final FieldMatrixChangingVisitor<T> visitor)
throws MatrixVisitorException {
return walkInRowOrder(visitor);
}
/** {@inheritDoc} */
public T walkInOptimizedOrder(final FieldMatrixPreservingVisitor<T> visitor)
throws MatrixVisitorException {
return walkInRowOrder(visitor);
}
/** {@inheritDoc} */
public T walkInOptimizedOrder(final FieldMatrixChangingVisitor<T> visitor,
final int startRow, final int endRow,
final int startColumn, final int endColumn)
throws MatrixIndexException, MatrixVisitorException {
return walkInRowOrder(visitor, startRow, endRow, startColumn, endColumn);
}
/** {@inheritDoc} */
public T walkInOptimizedOrder(final FieldMatrixPreservingVisitor<T> visitor,
final int startRow, final int endRow,
final int startColumn, final int endColumn)
throws MatrixIndexException, MatrixVisitorException {
return walkInRowOrder(visitor, startRow, endRow, startColumn, endColumn);
}
/**
* Get a string representation for this matrix.
* @return a string representation for this matrix
*/
@Override
public String toString() {
final int nRows = getRowDimension();
final int nCols = getColumnDimension();
final StringBuilder res = new StringBuilder();
String fullClassName = getClass().getName();
String shortClassName = fullClassName.substring(fullClassName.lastIndexOf('.') + 1);
res.append(shortClassName).append("{");
for (int i = 0; i < nRows; ++i) {
if (i > 0) {
res.append(",");
}
res.append("{");
for (int j = 0; j < nCols; ++j) {
if (j > 0) {
res.append(",");
}
res.append(getEntry(i, j));
}
res.append("}");
}
res.append("}");
return res.toString();
}
/**
* Returns true iff <code>object</code> is a
* <code>FieldMatrix</code> instance with the same dimensions as this
* and all corresponding matrix entries are equal.
*
* @param object the object to test equality against.
* @return true if object equals this
*/
@Override
public boolean equals(final Object object) {
if (object == this ) {
return true;
}
if (object instanceof FieldMatrix<?> == false) {
return false;
}
FieldMatrix<?> m = (FieldMatrix<?>) object;
final int nRows = getRowDimension();
final int nCols = getColumnDimension();
if (m.getColumnDimension() != nCols || m.getRowDimension() != nRows) {
return false;
}
for (int row = 0; row < nRows; ++row) {
for (int col = 0; col < nCols; ++col) {
if (!getEntry(row, col).equals(m.getEntry(row, col))) {
return false;
}
}
}
return true;
}
/**
* Computes a hashcode for the matrix.
*
* @return hashcode for matrix
*/
@Override
public int hashCode() {
int ret = 322562;
final int nRows = getRowDimension();
final int nCols = getColumnDimension();
ret = ret * 31 + nRows;
ret = ret * 31 + nCols;
for (int row = 0; row < nRows; ++row) {
for (int col = 0; col < nCols; ++col) {
ret = ret * 31 + (11 * (row+1) + 17 * (col+1)) * getEntry(row, col).hashCode();
}
}
return ret;
}
/**
* Check if a row index is valid.
* @param row row index to check
* @exception MatrixIndexException if index is not valid
*/
protected void checkRowIndex(final int row) {
if (row < 0 || row >= getRowDimension()) {
throw new MatrixIndexException(LocalizedFormats.ROW_INDEX_OUT_OF_RANGE,
row, 0, getRowDimension() - 1);
}
}
/**
* Check if a column index is valid.
* @param column column index to check
* @exception MatrixIndexException if index is not valid
*/
protected void checkColumnIndex(final int column)
throws MatrixIndexException {
if (column < 0 || column >= getColumnDimension()) {
throw new MatrixIndexException(LocalizedFormats.COLUMN_INDEX_OUT_OF_RANGE,
column, 0, getColumnDimension() - 1);
}
}
/**
* Check if submatrix ranges indices are valid.
* Rows and columns are indicated counting from 0 to n-1.
*
* @param startRow Initial row index
* @param endRow Final row index
* @param startColumn Initial column index
* @param endColumn Final column index
* @exception MatrixIndexException if the indices are not valid
*/
protected void checkSubMatrixIndex(final int startRow, final int endRow,
final int startColumn, final int endColumn) {
checkRowIndex(startRow);
checkRowIndex(endRow);
if (startRow > endRow) {
throw new MatrixIndexException(LocalizedFormats.INITIAL_ROW_AFTER_FINAL_ROW,
startRow, endRow);
}
checkColumnIndex(startColumn);
checkColumnIndex(endColumn);
if (startColumn > endColumn) {
throw new MatrixIndexException(LocalizedFormats.INITIAL_COLUMN_AFTER_FINAL_COLUMN,
startColumn, endColumn);
}
}
/**
* Check if submatrix ranges indices are valid.
* Rows and columns are indicated counting from 0 to n-1.
*
* @param selectedRows Array of row indices.
* @param selectedColumns Array of column indices.
* @exception MatrixIndexException if row or column selections are not valid
*/
protected void checkSubMatrixIndex(final int[] selectedRows, final int[] selectedColumns) {
if (selectedRows.length * selectedColumns.length == 0) {
if (selectedRows.length == 0) {
throw new MatrixIndexException(LocalizedFormats.EMPTY_SELECTED_ROW_INDEX_ARRAY);
}
throw new MatrixIndexException(LocalizedFormats.EMPTY_SELECTED_COLUMN_INDEX_ARRAY);
}
for (final int row : selectedRows) {
checkRowIndex(row);
}
for (final int column : selectedColumns) {
checkColumnIndex(column);
}
}
/**
* Check if a matrix is addition compatible with the instance
* @param m matrix to check
* @exception IllegalArgumentException if matrix is not addition compatible with instance
*/
protected void checkAdditionCompatible(final FieldMatrix<T> m) {
if ((getRowDimension() != m.getRowDimension()) ||
(getColumnDimension() != m.getColumnDimension())) {
throw MathRuntimeException.createIllegalArgumentException(
LocalizedFormats.NOT_ADDITION_COMPATIBLE_MATRICES,
getRowDimension(), getColumnDimension(),
m.getRowDimension(), m.getColumnDimension());
}
}
/**
* Check if a matrix is subtraction compatible with the instance
* @param m matrix to check
* @exception IllegalArgumentException if matrix is not subtraction compatible with instance
*/
protected void checkSubtractionCompatible(final FieldMatrix<T> m) {
if ((getRowDimension() != m.getRowDimension()) ||
(getColumnDimension() != m.getColumnDimension())) {
throw MathRuntimeException.createIllegalArgumentException(
LocalizedFormats.NOT_SUBTRACTION_COMPATIBLE_MATRICES,
getRowDimension(), getColumnDimension(),
m.getRowDimension(), m.getColumnDimension());
}
}
/**
* Check if a matrix is multiplication compatible with the instance
* @param m matrix to check
* @exception IllegalArgumentException if matrix is not multiplication compatible with instance
*/
protected void checkMultiplicationCompatible(final FieldMatrix<T> m) {
if (getColumnDimension() != m.getRowDimension()) {
throw MathRuntimeException.createIllegalArgumentException(
LocalizedFormats.NOT_MULTIPLICATION_COMPATIBLE_MATRICES,
getRowDimension(), getColumnDimension(),
m.getRowDimension(), m.getColumnDimension());
}
}
}