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With inspiration from other libraries
/*
* 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.io.Serializable;
import org.apache.commons.math3.Field;
import org.apache.commons.math3.FieldElement;
import org.apache.commons.math3.exception.NoDataException;
import org.apache.commons.math3.exception.DimensionMismatchException;
import org.apache.commons.math3.exception.MathIllegalStateException;
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;
import org.apache.commons.math3.util.MathUtils;
/**
* Implementation of FieldMatrix using a {@link FieldElement}[][] array to store entries.
*
* As specified in the {@link FieldMatrix} interface, matrix element indexing
* is 0-based -- e.g., getEntry(0, 0)
* returns the element in the first row, first column of the matrix.
*
*
* @param the type of the field elements
*/
public class Array2DRowFieldMatrix>
extends AbstractFieldMatrix
implements Serializable {
/** Serializable version identifier */
private static final long serialVersionUID = 7260756672015356458L;
/** Entries of the matrix */
private T[][] data;
/**
* Creates a matrix with no data
* @param field field to which the elements belong
*/
public Array2DRowFieldMatrix(final Field field) {
super(field);
}
/**
* Create a new {@code 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.
*/
public Array2DRowFieldMatrix(final Field field, final int rowDimension,
final int columnDimension)
throws NotStrictlyPositiveException {
super(field, rowDimension, columnDimension);
data = MathArrays.buildArray(field, rowDimension, columnDimension);
}
/**
* Create a new {@code FieldMatrix} using the input array as the underlying
* data array.
* The input array is copied, not referenced. This constructor has
* the same effect as calling {@link #Array2DRowFieldMatrix(FieldElement[][], boolean)}
* with the second argument set to {@code true}.
*
* @param d Data for the new matrix.
* @throws DimensionMismatchException if {@code d} is not rectangular.
* @throws NullArgumentException if {@code d} is {@code null}.
* @throws NoDataException if there are not at least one row and one column.
* @see #Array2DRowFieldMatrix(FieldElement[][], boolean)
*/
public Array2DRowFieldMatrix(final T[][] d)
throws DimensionMismatchException, NullArgumentException,
NoDataException {
this(extractField(d), d);
}
/**
* Create a new {@code FieldMatrix} using the input array as the underlying
* data array.
* The input array is copied, not referenced. This constructor has
* the same effect as calling {@link #Array2DRowFieldMatrix(FieldElement[][], boolean)}
* with the second argument set to {@code true}.
*
* @param field Field to which the elements belong.
* @param d Data for the new matrix.
* @throws DimensionMismatchException if {@code d} is not rectangular.
* @throws NullArgumentException if {@code d} is {@code null}.
* @throws NoDataException if there are not at least one row and one column.
* @see #Array2DRowFieldMatrix(FieldElement[][], boolean)
*/
public Array2DRowFieldMatrix(final Field field, final T[][] d)
throws DimensionMismatchException, NullArgumentException,
NoDataException {
super(field);
copyIn(d);
}
/**
* Create a new {@code FieldMatrix} using the input array as the underlying
* data array.
* If an array is built specially in order to be embedded in a
* {@code FieldMatrix} and not used directly, the {@code copyArray} may be
* set to {@code false}. This will prevent the copying and improve
* performance as no new array will be built and no data will be copied.
*
* @param d Data for the new matrix.
* @param copyArray Whether to copy or reference the input array.
* @throws DimensionMismatchException if {@code d} is not rectangular.
* @throws NoDataException if there are not at least one row and one column.
* @throws NullArgumentException if {@code d} is {@code null}.
* @see #Array2DRowFieldMatrix(FieldElement[][])
*/
public Array2DRowFieldMatrix(final T[][] d, final boolean copyArray)
throws DimensionMismatchException, NoDataException,
NullArgumentException {
this(extractField(d), d, copyArray);
}
/**
* Create a new {@code FieldMatrix} using the input array as the underlying
* data array.
* If an array is built specially in order to be embedded in a
* {@code FieldMatrix} and not used directly, the {@code copyArray} may be
* set to {@code false}. This will prevent the copying and improve
* performance as no new array will be built and no data will be copied.
*
* @param field Field to which the elements belong.
* @param d Data for the new matrix.
* @param copyArray Whether to copy or reference the input array.
* @throws DimensionMismatchException if {@code d} is not rectangular.
* @throws NoDataException if there are not at least one row and one column.
* @throws NullArgumentException if {@code d} is {@code null}.
* @see #Array2DRowFieldMatrix(FieldElement[][])
*/
public Array2DRowFieldMatrix(final Field field, final T[][] d, final boolean copyArray)
throws DimensionMismatchException, NoDataException, NullArgumentException {
super(field);
if (copyArray) {
copyIn(d);
} else {
MathUtils.checkNotNull(d);
final int nRows = d.length;
if (nRows == 0) {
throw new NoDataException(LocalizedFormats.AT_LEAST_ONE_ROW);
}
final int nCols = d[0].length;
if (nCols == 0) {
throw new NoDataException(LocalizedFormats.AT_LEAST_ONE_COLUMN);
}
for (int r = 1; r < nRows; r++) {
if (d[r].length != nCols) {
throw new DimensionMismatchException(nCols, d[r].length);
}
}
data = d;
}
}
/**
* Create a new (column) {@code FieldMatrix} using {@code v} as the
* data for the unique column of the created matrix.
* The input array is copied.
*
* @param v Column vector holding data for new matrix.
* @throws NoDataException if v is empty
*/
public Array2DRowFieldMatrix(final T[] v) throws NoDataException {
this(extractField(v), v);
}
/**
* Create a new (column) {@code FieldMatrix} using {@code v} as the
* data for the unique column of the created matrix.
* The input array is copied.
*
* @param field Field to which the elements belong.
* @param v Column vector holding data for new matrix.
*/
public Array2DRowFieldMatrix(final Field field, final T[] v) {
super(field);
final int nRows = v.length;
data = MathArrays.buildArray(getField(), nRows, 1);
for (int row = 0; row < nRows; row++) {
data[row][0] = v[row];
}
}
/** {@inheritDoc} */
@Override
public FieldMatrix createMatrix(final int rowDimension,
final int columnDimension)
throws NotStrictlyPositiveException {
return new Array2DRowFieldMatrix(getField(), rowDimension, columnDimension);
}
/** {@inheritDoc} */
@Override
public FieldMatrix copy() {
return new Array2DRowFieldMatrix(getField(), copyOut(), false);
}
/**
* Add {@code m} to this matrix.
*
* @param m Matrix to be added.
* @return {@code this} + m.
* @throws MatrixDimensionMismatchException if {@code m} is not the same
* size as this matrix.
*/
public Array2DRowFieldMatrix add(final Array2DRowFieldMatrix m)
throws MatrixDimensionMismatchException {
// safety check
checkAdditionCompatible(m);
final int rowCount = getRowDimension();
final int columnCount = getColumnDimension();
final T[][] outData = MathArrays.buildArray(getField(), rowCount, columnCount);
for (int row = 0; row < rowCount; row++) {
final T[] dataRow = data[row];
final T[] mRow = m.data[row];
final T[] outDataRow = outData[row];
for (int col = 0; col < columnCount; col++) {
outDataRow[col] = dataRow[col].add(mRow[col]);
}
}
return new Array2DRowFieldMatrix(getField(), outData, false);
}
/**
* Subtract {@code m} from this matrix.
*
* @param m Matrix to be subtracted.
* @return {@code this} + m.
* @throws MatrixDimensionMismatchException if {@code m} is not the same
* size as this matrix.
*/
public Array2DRowFieldMatrix subtract(final Array2DRowFieldMatrix m)
throws MatrixDimensionMismatchException {
// safety check
checkSubtractionCompatible(m);
final int rowCount = getRowDimension();
final int columnCount = getColumnDimension();
final T[][] outData = MathArrays.buildArray(getField(), rowCount, columnCount);
for (int row = 0; row < rowCount; row++) {
final T[] dataRow = data[row];
final T[] mRow = m.data[row];
final T[] outDataRow = outData[row];
for (int col = 0; col < columnCount; col++) {
outDataRow[col] = dataRow[col].subtract(mRow[col]);
}
}
return new Array2DRowFieldMatrix(getField(), outData, false);
}
/**
* Postmultiplying this matrix by {@code m}.
*
* @param m Matrix to postmultiply by.
* @return {@code this} * m.
* @throws DimensionMismatchException if the number of columns of this
* matrix is not equal to the number of rows of {@code m}.
*/
public Array2DRowFieldMatrix multiply(final Array2DRowFieldMatrix m)
throws DimensionMismatchException {
// safety check
checkMultiplicationCompatible(m);
final int nRows = this.getRowDimension();
final int nCols = m.getColumnDimension();
final int nSum = this.getColumnDimension();
final T[][] outData = MathArrays.buildArray(getField(), nRows, nCols);
for (int row = 0; row < nRows; row++) {
final T[] dataRow = data[row];
final T[] outDataRow = outData[row];
for (int col = 0; col < nCols; col++) {
T sum = getField().getZero();
for (int i = 0; i < nSum; i++) {
sum = sum.add(dataRow[i].multiply(m.data[i][col]));
}
outDataRow[col] = sum;
}
}
return new Array2DRowFieldMatrix(getField(), outData, false);
}
/** {@inheritDoc} */
@Override
public T[][] getData() {
return copyOut();
}
/**
* Get a reference to the underlying data array.
* This methods returns internal data, not fresh copy of it.
*
* @return the 2-dimensional array of entries.
*/
public T[][] getDataRef() {
return data;
}
/** {@inheritDoc} */
@Override
public void setSubMatrix(final T[][] subMatrix, final int row,
final int column)
throws OutOfRangeException, NullArgumentException, NoDataException,
DimensionMismatchException {
if (data == null) {
if (row > 0) {
throw new MathIllegalStateException(LocalizedFormats.FIRST_ROWS_NOT_INITIALIZED_YET, row);
}
if (column > 0) {
throw new MathIllegalStateException(LocalizedFormats.FIRST_COLUMNS_NOT_INITIALIZED_YET, column);
}
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);
}
data = MathArrays.buildArray(getField(), subMatrix.length, nCols);
for (int i = 0; i < data.length; ++i) {
if (subMatrix[i].length != nCols) {
throw new DimensionMismatchException(nCols, subMatrix[i].length);
}
System.arraycopy(subMatrix[i], 0, data[i + row], column, nCols);
}
} else {
super.setSubMatrix(subMatrix, row, column);
}
}
/** {@inheritDoc} */
@Override
public T getEntry(final int row, final int column)
throws OutOfRangeException {
checkRowIndex(row);
checkColumnIndex(column);
return data[row][column];
}
/** {@inheritDoc} */
@Override
public void setEntry(final int row, final int column, final T value)
throws OutOfRangeException {
checkRowIndex(row);
checkColumnIndex(column);
data[row][column] = value;
}
/** {@inheritDoc} */
@Override
public void addToEntry(final int row, final int column, final T increment)
throws OutOfRangeException {
checkRowIndex(row);
checkColumnIndex(column);
data[row][column] = data[row][column].add(increment);
}
/** {@inheritDoc} */
@Override
public void multiplyEntry(final int row, final int column, final T factor)
throws OutOfRangeException {
checkRowIndex(row);
checkColumnIndex(column);
data[row][column] = data[row][column].multiply(factor);
}
/** {@inheritDoc} */
@Override
public int getRowDimension() {
return (data == null) ? 0 : data.length;
}
/** {@inheritDoc} */
@Override
public int getColumnDimension() {
return ((data == null) || (data[0] == null)) ? 0 : data[0].length;
}
/** {@inheritDoc} */
@Override
public T[] operate(final T[] v) throws DimensionMismatchException {
final int nRows = this.getRowDimension();
final int nCols = this.getColumnDimension();
if (v.length != nCols) {
throw new DimensionMismatchException(v.length, nCols);
}
final T[] out = MathArrays.buildArray(getField(), nRows);
for (int row = 0; row < nRows; row++) {
final T[] dataRow = data[row];
T sum = getField().getZero();
for (int i = 0; i < nCols; i++) {
sum = sum.add(dataRow[i].multiply(v[i]));
}
out[row] = sum;
}
return out;
}
/** {@inheritDoc} */
@Override
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(getField(), nCols);
for (int col = 0; col < nCols; ++col) {
T sum = getField().getZero();
for (int i = 0; i < nRows; ++i) {
sum = sum.add(data[i][col].multiply(v[i]));
}
out[col] = sum;
}
return out;
}
/** {@inheritDoc} */
@Override
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 i = 0; i < rows; ++i) {
final T[] rowI = data[i];
for (int j = 0; j < columns; ++j) {
rowI[j] = visitor.visit(i, j, rowI[j]);
}
}
return visitor.end();
}
/** {@inheritDoc} */
@Override
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 i = 0; i < rows; ++i) {
final T[] rowI = data[i];
for (int j = 0; j < columns; ++j) {
visitor.visit(i, j, rowI[j]);
}
}
return visitor.end();
}
/** {@inheritDoc} */
@Override
public T walkInRowOrder(final FieldMatrixChangingVisitor visitor,
final int startRow, final int endRow,
final int startColumn, final int endColumn)
throws OutOfRangeException, NumberIsTooSmallException {
checkSubMatrixIndex(startRow, endRow, startColumn, endColumn);
visitor.start(getRowDimension(), getColumnDimension(),
startRow, endRow, startColumn, endColumn);
for (int i = startRow; i <= endRow; ++i) {
final T[] rowI = data[i];
for (int j = startColumn; j <= endColumn; ++j) {
rowI[j] = visitor.visit(i, j, rowI[j]);
}
}
return visitor.end();
}
/** {@inheritDoc} */
@Override
public T walkInRowOrder(final FieldMatrixPreservingVisitor visitor,
final int startRow, final int endRow,
final int startColumn, final int endColumn)
throws OutOfRangeException, NumberIsTooSmallException {
checkSubMatrixIndex(startRow, endRow, startColumn, endColumn);
visitor.start(getRowDimension(), getColumnDimension(),
startRow, endRow, startColumn, endColumn);
for (int i = startRow; i <= endRow; ++i) {
final T[] rowI = data[i];
for (int j = startColumn; j <= endColumn; ++j) {
visitor.visit(i, j, rowI[j]);
}
}
return visitor.end();
}
/** {@inheritDoc} */
@Override
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 j = 0; j < columns; ++j) {
for (int i = 0; i < rows; ++i) {
final T[] rowI = data[i];
rowI[j] = visitor.visit(i, j, rowI[j]);
}
}
return visitor.end();
}
/** {@inheritDoc} */
@Override
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 j = 0; j < columns; ++j) {
for (int i = 0; i < rows; ++i) {
visitor.visit(i, j, data[i][j]);
}
}
return visitor.end();
}
/** {@inheritDoc} */
@Override
public T walkInColumnOrder(final FieldMatrixChangingVisitor visitor,
final int startRow, final int endRow,
final int startColumn, final int endColumn)
throws OutOfRangeException, NumberIsTooSmallException {
checkSubMatrixIndex(startRow, endRow, startColumn, endColumn);
visitor.start(getRowDimension(), getColumnDimension(),
startRow, endRow, startColumn, endColumn);
for (int j = startColumn; j <= endColumn; ++j) {
for (int i = startRow; i <= endRow; ++i) {
final T[] rowI = data[i];
rowI[j] = visitor.visit(i, j, rowI[j]);
}
}
return visitor.end();
}
/** {@inheritDoc} */
@Override
public T walkInColumnOrder(final FieldMatrixPreservingVisitor visitor,
final int startRow, final int endRow,
final int startColumn, final int endColumn)
throws OutOfRangeException, NumberIsTooSmallException {
checkSubMatrixIndex(startRow, endRow, startColumn, endColumn);
visitor.start(getRowDimension(), getColumnDimension(),
startRow, endRow, startColumn, endColumn);
for (int j = startColumn; j <= endColumn; ++j) {
for (int i = startRow; i <= endRow; ++i) {
visitor.visit(i, j, data[i][j]);
}
}
return visitor.end();
}
/**
* Get a fresh copy of the underlying data array.
*
* @return a copy of the underlying data array.
*/
private T[][] copyOut() {
final int nRows = this.getRowDimension();
final T[][] out = MathArrays.buildArray(getField(), nRows, getColumnDimension());
// can't copy 2-d array in one shot, otherwise get row references
for (int i = 0; i < nRows; i++) {
System.arraycopy(data[i], 0, out[i], 0, data[i].length);
}
return out;
}
/**
* Replace data with a fresh copy of the input array.
*
* @param in Data to copy.
* @throws NoDataException if the input array is empty.
* @throws DimensionMismatchException if the input array is not rectangular.
* @throws NullArgumentException if the input array is {@code null}.
*/
private void copyIn(final T[][] in)
throws NullArgumentException, NoDataException,
DimensionMismatchException {
setSubMatrix(in, 0, 0);
}
}