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The Apache Commons Math project is a library of lightweight, self-contained mathematics and statistics components addressing the most common practical problems not immediately available in the Java programming language or commons-lang.
/*
* Licensed to the Apache Software Foundation (ASF) under one or more
* contributor license agreements. See the NOTICE file distributed with
* this work for additional information regarding copyright ownership.
* The ASF licenses this file to You under the Apache License, Version 2.0
* (the "License"); you may not use this file except in compliance with
* the License. You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
package org.apache.commons.math3.linear;
import java.util.ArrayList;
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;
import org.apache.commons.math3.exception.util.LocalizedFormats;
import org.apache.commons.math3.util.MathArrays;
/**
* Basic implementation of {@link FieldMatrix} methods regardless of the underlying storage.
* All the methods implemented here use {@link #getEntry(int, int)} to access
* matrix elements. Derived class can provide faster implementations.
*
* @param Type of the field elements.
*
* @since 2.0
*/
public abstract class AbstractFieldMatrix>
implements FieldMatrix {
/** Field to which the elements belong. */
private final Field 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 field) {
this.field = field;
}
/**
* Create a new FieldMatrix with the supplied row and column dimensions.
*
* @param field Field to which the elements belong.
* @param rowDimension Number of rows in the new matrix.
* @param columnDimension Number of columns in the new matrix.
* @throws NotStrictlyPositiveException if row or column dimension is not
* positive.
*/
protected AbstractFieldMatrix(final Field field,
final int rowDimension,
final int columnDimension)
throws NotStrictlyPositiveException {
if (rowDimension <= 0) {
throw new NotStrictlyPositiveException(LocalizedFormats.DIMENSION,
rowDimension);
}
if (columnDimension <= 0) {
throw new NotStrictlyPositiveException(LocalizedFormats.DIMENSION,
columnDimension);
}
this.field = field;
}
/**
* Get the elements type from an array.
*
* @param Type of the field elements.
* @param d Data array.
* @return the field to which the array elements belong.
* @throws NullArgumentException if the array is {@code null}.
* @throws NoDataException if the array is empty.
*/
protected static > Field extractField(final T[][] d)
throws NoDataException, NullArgumentException {
if (d == null) {
throw new NullArgumentException();
}
if (d.length == 0) {
throw new NoDataException(LocalizedFormats.AT_LEAST_ONE_ROW);
}
if (d[0].length == 0) {
throw new NoDataException(LocalizedFormats.AT_LEAST_ONE_COLUMN);
}
return d[0][0].getField();
}
/**
* Get the elements type from an array.
*
* @param Type of the field elements.
* @param d Data array.
* @return the field to which the array elements belong.
* @throws NoDataException if array is empty.
*/
protected static > Field extractField(final T[] d)
throws NoDataException {
if (d.length == 0) {
throw new NoDataException(LocalizedFormats.AT_LEAST_ONE_ROW);
}
return d[0].getField();
}
/** Build an array of elements.
*
* Complete arrays are filled with field.getZero()
*
* @param 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 new Field[rows][] works)
* @return a new array
* @deprecated as of 3.2, replaced by {@link MathArrays#buildArray(Field, int, int)}
*/
@Deprecated
protected static > T[][] buildArray(final Field field,
final int rows,
final int columns) {
return MathArrays.buildArray(field, rows, columns);
}
/** Build an array of elements.
*
* Arrays are filled with field.getZero()
*
* @param the type of the field elements
* @param field field to which array elements belong
* @param length of the array
* @return a new array
* @deprecated as of 3.2, replaced by {@link MathArrays#buildArray(Field, int)}
*/
@Deprecated
protected static > T[] buildArray(final Field field,
final int length) {
return MathArrays.buildArray(field, length);
}
/** {@inheritDoc} */
public Field getField() {
return field;
}
/** {@inheritDoc} */
public abstract FieldMatrix createMatrix(final int rowDimension,
final int columnDimension)
throws NotStrictlyPositiveException;
/** {@inheritDoc} */
public abstract FieldMatrix copy();
/** {@inheritDoc} */
public FieldMatrix add(FieldMatrix m)
throws MatrixDimensionMismatchException {
// safety check
checkAdditionCompatible(m);
final int rowCount = getRowDimension();
final int columnCount = getColumnDimension();
final FieldMatrix 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 subtract(final FieldMatrix m)
throws MatrixDimensionMismatchException {
// safety check
checkSubtractionCompatible(m);
final int rowCount = getRowDimension();
final int columnCount = getColumnDimension();
final FieldMatrix 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 scalarAdd(final T d) {
final int rowCount = getRowDimension();
final int columnCount = getColumnDimension();
final FieldMatrix 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 scalarMultiply(final T d) {
final int rowCount = getRowDimension();
final int columnCount = getColumnDimension();
final FieldMatrix 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 multiply(final FieldMatrix m)
throws DimensionMismatchException {
// safety check
checkMultiplicationCompatible(m);
final int nRows = getRowDimension();
final int nCols = m.getColumnDimension();
final int nSum = getColumnDimension();
final FieldMatrix 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 preMultiply(final FieldMatrix m)
throws DimensionMismatchException {
return m.multiply(this);
}
/** {@inheritDoc} */
public FieldMatrix power(final int p) throws NonSquareMatrixException,
NotPositiveException {
if (p < 0) {
throw new NotPositiveException(p);
}
if (!isSquare()) {
throw new NonSquareMatrixException(getRowDimension(), getColumnDimension());
}
if (p == 0) {
return MatrixUtils.createFieldIdentityMatrix(this.getField(), this.getRowDimension());
}
if (p == 1) {
return this.copy();
}
final int power = p - 1;
/*
* Only log_2(p) operations is used by doing as follows:
* 5^214 = 5^128 * 5^64 * 5^16 * 5^4 * 5^2
*
* In general, the same approach is used for A^p.
*/
final char[] binaryRepresentation = Integer.toBinaryString(power)
.toCharArray();
final ArrayList nonZeroPositions = new ArrayList();
for (int i = 0; i < binaryRepresentation.length; ++i) {
if (binaryRepresentation[i] == '1') {
final int pos = binaryRepresentation.length - i - 1;
nonZeroPositions.add(pos);
}
}
ArrayList> results = new ArrayList>(
binaryRepresentation.length);
results.add(0, this.copy());
for (int i = 1; i < binaryRepresentation.length; ++i) {
final FieldMatrix s = results.get(i - 1);
final FieldMatrix r = s.multiply(s);
results.add(i, r);
}
FieldMatrix result = this.copy();
for (Integer i : nonZeroPositions) {
result = result.multiply(results.get(i));
}
return result;
}
/** {@inheritDoc} */
public T[][] getData() {
final T[][] data = MathArrays.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 getSubMatrix(final int startRow, final int endRow,
final int startColumn, final int endColumn)
throws NumberIsTooSmallException, OutOfRangeException {
checkSubMatrixIndex(startRow, endRow, startColumn, endColumn);
final FieldMatrix 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 getSubMatrix(final int[] selectedRows,
final int[] selectedColumns)
throws NoDataException, NullArgumentException, OutOfRangeException {
// safety checks
checkSubMatrixIndex(selectedRows, selectedColumns);
// copy entries
final FieldMatrix subMatrix =
createMatrix(selectedRows.length, selectedColumns.length);
subMatrix.walkInOptimizedOrder(new DefaultFieldMatrixChangingVisitor(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 MatrixDimensionMismatchException, NumberIsTooSmallException,
OutOfRangeException{
// 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 new MatrixDimensionMismatchException(destination.length,
destination[0].length,
rowsCount,
columnsCount);
}
// copy entries
walkInOptimizedOrder(new DefaultFieldMatrixPreservingVisitor(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 MatrixDimensionMismatchException, NoDataException,
NullArgumentException, OutOfRangeException {
// safety checks
checkSubMatrixIndex(selectedRows, selectedColumns);
if ((destination.length < selectedRows.length) ||
(destination[0].length < selectedColumns.length)) {
throw new MatrixDimensionMismatchException(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 DimensionMismatchException, OutOfRangeException,
NoDataException, NullArgumentException {
if (subMatrix == null) {
throw new NullArgumentException();
}
final int nRows = subMatrix.length;
if (nRows == 0) {
throw new NoDataException(LocalizedFormats.AT_LEAST_ONE_ROW);
}
final int nCols = subMatrix[0].length;
if (nCols == 0) {
throw new NoDataException(LocalizedFormats.AT_LEAST_ONE_COLUMN);
}
for (int r = 1; r < nRows; ++r) {
if (subMatrix[r].length != nCols) {
throw new DimensionMismatchException(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 getRowMatrix(final int row) throws OutOfRangeException {
checkRowIndex(row);
final int nCols = getColumnDimension();
final FieldMatrix 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 matrix)
throws OutOfRangeException, MatrixDimensionMismatchException {
checkRowIndex(row);
final int nCols = getColumnDimension();
if ((matrix.getRowDimension() != 1) ||
(matrix.getColumnDimension() != nCols)) {
throw new MatrixDimensionMismatchException(matrix.getRowDimension(),
matrix.getColumnDimension(),
1, nCols);
}
for (int i = 0; i < nCols; ++i) {
setEntry(row, i, matrix.getEntry(0, i));
}
}
/** {@inheritDoc} */
public FieldMatrix getColumnMatrix(final int column)
throws OutOfRangeException {
checkColumnIndex(column);
final int nRows = getRowDimension();
final FieldMatrix 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 matrix)
throws OutOfRangeException, MatrixDimensionMismatchException {
checkColumnIndex(column);
final int nRows = getRowDimension();
if ((matrix.getRowDimension() != nRows) ||
(matrix.getColumnDimension() != 1)) {
throw new MatrixDimensionMismatchException(matrix.getRowDimension(),
matrix.getColumnDimension(),
nRows, 1);
}
for (int i = 0; i < nRows; ++i) {
setEntry(i, column, matrix.getEntry(i, 0));
}
}
/** {@inheritDoc} */
public FieldVector getRowVector(final int row)
throws OutOfRangeException {
return new ArrayFieldVector(field, getRow(row), false);
}
/** {@inheritDoc} */
public void setRowVector(final int row, final FieldVector vector)
throws OutOfRangeException, MatrixDimensionMismatchException {
checkRowIndex(row);
final int nCols = getColumnDimension();
if (vector.getDimension() != nCols) {
throw new MatrixDimensionMismatchException(1, vector.getDimension(),
1, nCols);
}
for (int i = 0; i < nCols; ++i) {
setEntry(row, i, vector.getEntry(i));
}
}
/** {@inheritDoc} */
public FieldVector getColumnVector(final int column)
throws OutOfRangeException {
return new ArrayFieldVector(field, getColumn(column), false);
}
/** {@inheritDoc} */
public void setColumnVector(final int column, final FieldVector vector)
throws OutOfRangeException, MatrixDimensionMismatchException {
checkColumnIndex(column);
final int nRows = getRowDimension();
if (vector.getDimension() != nRows) {
throw new MatrixDimensionMismatchException(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 OutOfRangeException {
checkRowIndex(row);
final int nCols = getColumnDimension();
final T[] out = MathArrays.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 OutOfRangeException, MatrixDimensionMismatchException {
checkRowIndex(row);
final int nCols = getColumnDimension();
if (array.length != nCols) {
throw new MatrixDimensionMismatchException(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 OutOfRangeException {
checkColumnIndex(column);
final int nRows = getRowDimension();
final T[] out = MathArrays.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 OutOfRangeException, MatrixDimensionMismatchException {
checkColumnIndex(column);
final int nRows = getRowDimension();
if (array.length != nRows) {
throw new MatrixDimensionMismatchException(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 OutOfRangeException;
/** {@inheritDoc} */
public abstract void setEntry(int row, int column, T value) throws OutOfRangeException;
/** {@inheritDoc} */
public abstract void addToEntry(int row, int column, T increment) throws OutOfRangeException;
/** {@inheritDoc} */
public abstract void multiplyEntry(int row, int column, T factor) throws OutOfRangeException;
/** {@inheritDoc} */
public FieldMatrix transpose() {
final int nRows = getRowDimension();
final int nCols = getColumnDimension();
final FieldMatrix out = createMatrix(nCols, nRows);
walkInOptimizedOrder(new DefaultFieldMatrixPreservingVisitor(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 DimensionMismatchException {
final int nRows = getRowDimension();
final int nCols = getColumnDimension();
if (v.length != nCols) {
throw new DimensionMismatchException(v.length, nCols);
}
final T[] out = MathArrays.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 operate(final FieldVector v)
throws DimensionMismatchException {
try {
return new ArrayFieldVector(field, operate(((ArrayFieldVector) v).getDataRef()), false);
} catch (ClassCastException cce) {
final int nRows = getRowDimension();
final int nCols = getColumnDimension();
if (v.getDimension() != nCols) {
throw new DimensionMismatchException(v.getDimension(), nCols);
}
final T[] out = MathArrays.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(field, out, false);
}
}
/** {@inheritDoc} */
public T[] preMultiply(final T[] v) throws DimensionMismatchException {
final int nRows = getRowDimension();
final int nCols = getColumnDimension();
if (v.length != nRows) {
throw new DimensionMismatchException(v.length, nRows);
}
final T[] out = MathArrays.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 preMultiply(final FieldVector v)
throws DimensionMismatchException {
try {
return new ArrayFieldVector(field, preMultiply(((ArrayFieldVector) v).getDataRef()), false);
} catch (ClassCastException cce) {
final int nRows = getRowDimension();
final int nCols = getColumnDimension();
if (v.getDimension() != nRows) {
throw new DimensionMismatchException(v.getDimension(), nRows);
}
final T[] out = MathArrays.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(field, out, false);
}
}
/** {@inheritDoc} */
public T walkInRowOrder(final FieldMatrixChangingVisitor visitor) {
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 visitor) {
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 visitor,
final int startRow, final int endRow,
final int startColumn, final int endColumn)
throws NumberIsTooSmallException, OutOfRangeException {
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 visitor,
final int startRow, final int endRow,
final int startColumn, final int endColumn)
throws NumberIsTooSmallException, OutOfRangeException {
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 visitor) {
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 visitor) {
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 visitor,
final int startRow, final int endRow,
final int startColumn, final int endColumn)
throws NumberIsTooSmallException, OutOfRangeException {
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 visitor,
final int startRow, final int endRow,
final int startColumn, final int endColumn)
throws NumberIsTooSmallException, OutOfRangeException{
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 visitor) {
return walkInRowOrder(visitor);
}
/** {@inheritDoc} */
public T walkInOptimizedOrder(final FieldMatrixPreservingVisitor visitor) {
return walkInRowOrder(visitor);
}
/** {@inheritDoc} */
public T walkInOptimizedOrder(final FieldMatrixChangingVisitor visitor,
final int startRow, final int endRow,
final int startColumn, final int endColumn)
throws NumberIsTooSmallException, OutOfRangeException {
return walkInRowOrder(visitor, startRow, endRow, startColumn, endColumn);
}
/** {@inheritDoc} */
public T walkInOptimizedOrder(final FieldMatrixPreservingVisitor visitor,
final int startRow, final int endRow,
final int startColumn, final int endColumn)
throws NumberIsTooSmallException, OutOfRangeException {
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 StringBuffer res = new StringBuffer();
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 object is a
* FieldMatrix 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.
* @throws OutOfRangeException if {@code index} is not valid.
*/
protected void checkRowIndex(final int row) throws OutOfRangeException {
if (row < 0 || row >= getRowDimension()) {
throw new OutOfRangeException(LocalizedFormats.ROW_INDEX,
row, 0, getRowDimension() - 1);
}
}
/**
* Check if a column index is valid.
*
* @param column Column index to check.
* @throws OutOfRangeException if {@code index} is not valid.
*/
protected void checkColumnIndex(final int column)
throws OutOfRangeException {
if (column < 0 || column >= getColumnDimension()) {
throw new OutOfRangeException(LocalizedFormats.COLUMN_INDEX,
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.
* @throws OutOfRangeException if the indices are not valid.
* @throws NumberIsTooSmallException if {@code endRow < startRow} or
* {@code endColumn < startColumn}.
*/
protected void checkSubMatrixIndex(final int startRow, final int endRow,
final int startColumn, final int endColumn)
throws NumberIsTooSmallException, OutOfRangeException {
checkRowIndex(startRow);
checkRowIndex(endRow);
if (endRow < startRow) {
throw new NumberIsTooSmallException(LocalizedFormats.INITIAL_ROW_AFTER_FINAL_ROW,
endRow, startRow, true);
}
checkColumnIndex(startColumn);
checkColumnIndex(endColumn);
if (endColumn < startColumn) {
throw new NumberIsTooSmallException(LocalizedFormats.INITIAL_COLUMN_AFTER_FINAL_COLUMN,
endColumn, startColumn, true);
}
}
/**
* 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.
* @throws NullArgumentException if the arrays are {@code null}.
* @throws NoDataException if the arrays have zero length.
* @throws OutOfRangeException if row or column selections are not valid.
*/
protected void checkSubMatrixIndex(final int[] selectedRows, final int[] selectedColumns)
throws NoDataException, NullArgumentException, OutOfRangeException {
if (selectedRows == null ||
selectedColumns == null) {
throw new NullArgumentException();
}
if (selectedRows.length == 0 ||
selectedColumns.length == 0) {
throw new NoDataException();
}
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.
* @throws MatrixDimensionMismatchException if the matrix is not
* addition-compatible with instance.
*/
protected void checkAdditionCompatible(final FieldMatrix m)
throws MatrixDimensionMismatchException {
if ((getRowDimension() != m.getRowDimension()) ||
(getColumnDimension() != m.getColumnDimension())) {
throw new MatrixDimensionMismatchException(m.getRowDimension(), m.getColumnDimension(),
getRowDimension(), getColumnDimension());
}
}
/**
* Check if a matrix is subtraction compatible with the instance.
*
* @param m Matrix to check.
* @throws MatrixDimensionMismatchException if the matrix is not
* subtraction-compatible with instance.
*/
protected void checkSubtractionCompatible(final FieldMatrix m)
throws MatrixDimensionMismatchException {
if ((getRowDimension() != m.getRowDimension()) ||
(getColumnDimension() != m.getColumnDimension())) {
throw new MatrixDimensionMismatchException(m.getRowDimension(), m.getColumnDimension(),
getRowDimension(), getColumnDimension());
}
}
/**
* Check if a matrix is multiplication compatible with the instance.
*
* @param m Matrix to check.
* @throws DimensionMismatchException if the matrix is not
* multiplication-compatible with instance.
*/
protected void checkMultiplicationCompatible(final FieldMatrix m)
throws DimensionMismatchException {
if (getColumnDimension() != m.getRowDimension()) {
throw new DimensionMismatchException(m.getRowDimension(), getColumnDimension());
}
}
}