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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.math.linear;
+
+import java.io.Serializable;
+
+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;
+
+/**
+ * Implementation of FieldMatrix<T> using a {@link FieldElement}[][] array to store entries.
+ * <p>
+ * As specified in the {@link FieldMatrix} interface, 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.</li></ul>
+ * </p>
+ *
+ * @param <T> the type of the field elements
+ * @version $Revision: 1073158 $ $Date: 2011-02-21 22:46:52 +0100 (lun. 21 févr. 2011) $
+ */
+public class Array2DRowFieldMatrix<T extends FieldElement<T>> extends AbstractFieldMatrix<T> implements Serializable {
+
+ /** Serializable version identifier */
+ private static final long serialVersionUID = 7260756672015356458L;
+
+ /** Entries of the matrix */
+ protected T[][] data;
+
+ /**
+ * Creates a matrix with no data
+ * @param field field to which the elements belong
+ */
+ public Array2DRowFieldMatrix(final Field<T> field) {
+ super(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
+ */
+ public Array2DRowFieldMatrix(final Field<T> field,
+ final int rowDimension, final int columnDimension)
+ throws IllegalArgumentException {
+ super(field, rowDimension, columnDimension);
+ data = buildArray(field, rowDimension, columnDimension);
+ }
+
+ /**
+ * Create a new FieldMatrix<T> using the input array as the underlying
+ * data array.
+ * <p>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</code>.</p>
+ *
+ * @param d data for new matrix
+ * @throws IllegalArgumentException if <code>d</code> is not rectangular
+ * (not all rows have the same length) or empty
+ * @throws NullPointerException if <code>d</code> is null
+ * @see #Array2DRowFieldMatrix(FieldElement[][], boolean)
+ */
+ public Array2DRowFieldMatrix(final T[][] d)
+ throws IllegalArgumentException, NullPointerException {
+ super(extractField(d));
+ copyIn(d);
+ }
+
+ /**
+ * Create a new FieldMatrix<T> using the input array as the underlying
+ * data array.
+ * <p>If an array is built specially in order to be embedded in a
+ * FieldMatrix<T> and not used directly, the <code>copyArray</code> may be
+ * set to <code>false</code. This will prevent the copying and improve
+ * performance as no new array will be built and no data will be copied.</p>
+ * @param d data for new matrix
+ * @param copyArray if true, the input array will be copied, otherwise
+ * it will be referenced
+ * @throws IllegalArgumentException if <code>d</code> is not rectangular
+ * (not all rows have the same length) or empty
+ * @throws NullPointerException if <code>d</code> is null
+ * @see #Array2DRowFieldMatrix(FieldElement[][])
+ */
+ public Array2DRowFieldMatrix(final T[][] d, final boolean copyArray)
+ throws IllegalArgumentException, NullPointerException {
+ super(extractField(d));
+ if (copyArray) {
+ copyIn(d);
+ } else {
+ if (d == null) {
+ throw new NullPointerException();
+ }
+ final int nRows = d.length;
+ if (nRows == 0) {
+ throw MathRuntimeException.createIllegalArgumentException(
+ LocalizedFormats.AT_LEAST_ONE_ROW);
+ }
+ final int nCols = d[0].length;
+ if (nCols == 0) {
+ throw MathRuntimeException.createIllegalArgumentException(
+ LocalizedFormats.AT_LEAST_ONE_COLUMN);
+ }
+ for (int r = 1; r < nRows; r++) {
+ if (d[r].length != nCols) {
+ throw MathRuntimeException.createIllegalArgumentException(
+ LocalizedFormats.DIFFERENT_ROWS_LENGTHS, nCols, d[r].length);
+ }
+ }
+ data = d;
+ }
+ }
+
+ /**
+ * Create a new (column) FieldMatrix<T> using <code>v</code> as the
+ * data for the unique column of the <code>v.length x 1</code> matrix
+ * created.
+ * <p>The input array is copied, not referenced.</p>
+ *
+ * @param v column vector holding data for new matrix
+ */
+ public Array2DRowFieldMatrix(final T[] v) {
+ super(extractField(v));
+ final int nRows = v.length;
+ data = buildArray(getField(), nRows, 1);
+ for (int row = 0; row < nRows; row++) {
+ data[row][0] = v[row];
+ }
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public FieldMatrix<T> createMatrix(final int rowDimension, final int columnDimension)
+ throws IllegalArgumentException {
+ return new Array2DRowFieldMatrix<T>(getField(), rowDimension, columnDimension);
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public FieldMatrix<T> copy() {
+ return new Array2DRowFieldMatrix<T>(copyOut(), false);
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public FieldMatrix<T> add(final FieldMatrix<T> m)
+ throws IllegalArgumentException {
+ try {
+ return add((Array2DRowFieldMatrix<T>) m);
+ } catch (ClassCastException cce) {
+ return super.add(m);
+ }
+ }
+
+ /**
+ * Compute the sum of this and <code>m</code>.
+ *
+ * @param m matrix to be added
+ * @return this + m
+ * @throws IllegalArgumentException if m is not the same size as this
+ */
+ public Array2DRowFieldMatrix<T> add(final Array2DRowFieldMatrix<T> m)
+ throws IllegalArgumentException {
+
+ // safety check
+ checkAdditionCompatible(m);
+
+ final int rowCount = getRowDimension();
+ final int columnCount = getColumnDimension();
+ final T[][] outData = 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<T>(outData, false);
+
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public FieldMatrix<T> subtract(final FieldMatrix<T> m)
+ throws IllegalArgumentException {
+ try {
+ return subtract((Array2DRowFieldMatrix<T>) m);
+ } catch (ClassCastException cce) {
+ return super.subtract(m);
+ }
+ }
+
+ /**
+ * Compute this minus <code>m</code>.
+ *
+ * @param m matrix to be subtracted
+ * @return this + m
+ * @throws IllegalArgumentException if m is not the same size as this
+ */
+ public Array2DRowFieldMatrix<T> subtract(final Array2DRowFieldMatrix<T> m)
+ throws IllegalArgumentException {
+
+ // safety check
+ checkSubtractionCompatible(m);
+
+ final int rowCount = getRowDimension();
+ final int columnCount = getColumnDimension();
+ final T[][] outData = 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<T>(outData, false);
+
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public FieldMatrix<T> multiply(final FieldMatrix<T> m)
+ throws IllegalArgumentException {
+ try {
+ return multiply((Array2DRowFieldMatrix<T>) m);
+ } catch (ClassCastException cce) {
+ return super.multiply(m);
+ }
+ }
+
+ /**
+ * Returns the result of postmultiplying this by <code>m</code>.
+ * @param m matrix to postmultiply by
+ * @return this*m
+ * @throws IllegalArgumentException
+ * if columnDimension(this) != rowDimension(m)
+ */
+ public Array2DRowFieldMatrix<T> multiply(final Array2DRowFieldMatrix<T> m)
+ throws IllegalArgumentException {
+
+ // safety check
+ checkMultiplicationCompatible(m);
+
+ final int nRows = this.getRowDimension();
+ final int nCols = m.getColumnDimension();
+ final int nSum = this.getColumnDimension();
+ final T[][] outData = 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<T>(outData, false);
+
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public T[][] getData() {
+ return copyOut();
+ }
+
+ /**
+ * Returns a reference to the underlying data array.
+ * <p>
+ * Does <strong>not</strong> make a fresh copy of the underlying data.</p>
+ *
+ * @return 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 MatrixIndexException {
+ if (data == null) {
+ if (row > 0) {
+ throw MathRuntimeException.createIllegalStateException(
+ LocalizedFormats.FIRST_ROWS_NOT_INITIALIZED_YET, row);
+ }
+ if (column > 0) {
+ throw MathRuntimeException.createIllegalStateException(
+ LocalizedFormats.FIRST_COLUMNS_NOT_INITIALIZED_YET, column);
+ }
+ 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);
+ }
+ data = buildArray(getField(), subMatrix.length, nCols);
+ for (int i = 0; i < data.length; ++i) {
+ if (subMatrix[i].length != nCols) {
+ throw MathRuntimeException.createIllegalArgumentException(
+ LocalizedFormats.DIFFERENT_ROWS_LENGTHS, 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 MatrixIndexException {
+ try {
+ return data[row][column];
+ } catch (ArrayIndexOutOfBoundsException e) {
+ throw new MatrixIndexException(
+ LocalizedFormats.NO_SUCH_MATRIX_ENTRY, row, column, getRowDimension(), getColumnDimension());
+ }
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public void setEntry(final int row, final int column, final T value)
+ throws MatrixIndexException {
+ try {
+ data[row][column] = value;
+ } catch (ArrayIndexOutOfBoundsException e) {
+ throw new MatrixIndexException(
+ LocalizedFormats.NO_SUCH_MATRIX_ENTRY, row, column, getRowDimension(), getColumnDimension());
+ }
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public void addToEntry(final int row, final int column, final T increment)
+ throws MatrixIndexException {
+ try {
+ data[row][column] = data[row][column].add(increment);
+ } catch (ArrayIndexOutOfBoundsException e) {
+ throw new MatrixIndexException(
+ LocalizedFormats.NO_SUCH_MATRIX_ENTRY, row, column, getRowDimension(), getColumnDimension());
+ }
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public void multiplyEntry(final int row, final int column, final T factor)
+ throws MatrixIndexException {
+ try {
+ data[row][column] = data[row][column].multiply(factor);
+ } catch (ArrayIndexOutOfBoundsException e) {
+ throw new MatrixIndexException(
+ LocalizedFormats.NO_SUCH_MATRIX_ENTRY, row, column, getRowDimension(), getColumnDimension());
+ }
+ }
+
+ /** {@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 IllegalArgumentException {
+ final int nRows = this.getRowDimension();
+ final int nCols = this.getColumnDimension();
+ if (v.length != nCols) {
+ throw MathRuntimeException.createIllegalArgumentException(
+ LocalizedFormats.VECTOR_LENGTH_MISMATCH, v.length, nCols);
+ }
+ final T[] out = 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 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(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<T> visitor)
+ throws MatrixVisitorException {
+ 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<T> visitor)
+ throws MatrixVisitorException {
+ 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<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 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<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 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<T> visitor)
+ throws MatrixVisitorException {
+ 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<T> visitor)
+ throws MatrixVisitorException {
+ 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<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 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<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 j = startColumn; j <= endColumn; ++j) {
+ for (int i = startRow; i <= endRow; ++i) {
+ visitor.visit(i, j, data[i][j]);
+ }
+ }
+ return visitor.end();
+ }
+
+ /**
+ * Returns 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 = 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;
+ }
+
+ /**
+ * Replaces data with a fresh copy of the input array.
+ * <p>
+ * Verifies that the input array is rectangular and non-empty.</p>
+ *
+ * @param in data to copy in
+ * @throws IllegalArgumentException if input array is empty or not
+ * rectangular
+ * @throws NullPointerException if input array is null
+ */
+ private void copyIn(final T[][] in) {
+ setSubMatrix(in, 0, 0);
+ }
+
+}