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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.util.OpenIntToDoubleHashMap;
+
+/**
+ * Sparse matrix implementation based on an open addressed map.
+ *
+ * @version $Revision: 811685 $ $Date: 2009-09-05 19:36:48 +0200 (sam. 05 sept. 2009) $
+ * @since 2.0
+ */
+public class OpenMapRealMatrix extends AbstractRealMatrix implements SparseRealMatrix, Serializable {
+
+ /** Serializable version identifier. */
+ private static final long serialVersionUID = -5962461716457143437L;
+
+ /** Number of rows of the matrix. */
+ private final int rows;
+
+ /** Number of columns of the matrix. */
+ private final int columns;
+
+ /** Storage for (sparse) matrix elements. */
+ private final OpenIntToDoubleHashMap entries;
+
+ /**
+ * Build a sparse matrix with the supplied row and column dimensions.
+ * @param rowDimension number of rows of the matrix
+ * @param columnDimension number of columns of the matrix
+ */
+ public OpenMapRealMatrix(int rowDimension, int columnDimension) {
+ super(rowDimension, columnDimension);
+ this.rows = rowDimension;
+ this.columns = columnDimension;
+ this.entries = new OpenIntToDoubleHashMap(0.0);
+ }
+
+ /**
+ * Build a matrix by copying another one.
+ * @param matrix matrix to copy
+ */
+ public OpenMapRealMatrix(OpenMapRealMatrix matrix) {
+ this.rows = matrix.rows;
+ this.columns = matrix.columns;
+ this.entries = new OpenIntToDoubleHashMap(matrix.entries);
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public OpenMapRealMatrix copy() {
+ return new OpenMapRealMatrix(this);
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public OpenMapRealMatrix createMatrix(int rowDimension, int columnDimension)
+ throws IllegalArgumentException {
+ return new OpenMapRealMatrix(rowDimension, columnDimension);
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public int getColumnDimension() {
+ return columns;
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public OpenMapRealMatrix add(final RealMatrix m)
+ throws IllegalArgumentException {
+ try {
+ return add((OpenMapRealMatrix) m);
+ } catch (ClassCastException cce) {
+ return (OpenMapRealMatrix) 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 OpenMapRealMatrix add(OpenMapRealMatrix m) throws IllegalArgumentException {
+
+ // safety check
+ MatrixUtils.checkAdditionCompatible(this, m);
+
+ final OpenMapRealMatrix out = new OpenMapRealMatrix(this);
+ for (OpenIntToDoubleHashMap.Iterator iterator = m.entries.iterator(); iterator.hasNext();) {
+ iterator.advance();
+ final int row = iterator.key() / columns;
+ final int col = iterator.key() - row * columns;
+ out.setEntry(row, col, getEntry(row, col) + iterator.value());
+ }
+
+ return out;
+
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public OpenMapRealMatrix subtract(final RealMatrix m)
+ throws IllegalArgumentException {
+ try {
+ return subtract((OpenMapRealMatrix) m);
+ } catch (ClassCastException cce) {
+ return (OpenMapRealMatrix) 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 OpenMapRealMatrix subtract(OpenMapRealMatrix m) throws IllegalArgumentException {
+
+ // safety check
+ MatrixUtils.checkAdditionCompatible(this, m);
+
+ final OpenMapRealMatrix out = new OpenMapRealMatrix(this);
+ for (OpenIntToDoubleHashMap.Iterator iterator = m.entries.iterator(); iterator.hasNext();) {
+ iterator.advance();
+ final int row = iterator.key() / columns;
+ final int col = iterator.key() - row * columns;
+ out.setEntry(row, col, getEntry(row, col) - iterator.value());
+ }
+
+ return out;
+
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public RealMatrix multiply(final RealMatrix m)
+ throws IllegalArgumentException {
+ try {
+ return multiply((OpenMapRealMatrix) m);
+ } catch (ClassCastException cce) {
+
+ // safety check
+ MatrixUtils.checkMultiplicationCompatible(this, m);
+
+ final int outCols = m.getColumnDimension();
+ final BlockRealMatrix out = new BlockRealMatrix(rows, outCols);
+ for (OpenIntToDoubleHashMap.Iterator iterator = entries.iterator(); iterator.hasNext();) {
+ iterator.advance();
+ final double value = iterator.value();
+ final int key = iterator.key();
+ final int i = key / columns;
+ final int k = key % columns;
+ for (int j = 0; j < outCols; ++j) {
+ out.addToEntry(i, j, value * m.getEntry(k, j));
+ }
+ }
+
+ return out;
+
+ }
+ }
+
+ /**
+ * Returns the result of postmultiplying this by m.
+ *
+ * @param m matrix to postmultiply by
+ * @return this * m
+ * @throws IllegalArgumentException
+ * if columnDimension(this) != rowDimension(m)
+ */
+ public OpenMapRealMatrix multiply(OpenMapRealMatrix m) throws IllegalArgumentException {
+
+ // safety check
+ MatrixUtils.checkMultiplicationCompatible(this, m);
+
+ final int outCols = m.getColumnDimension();
+ OpenMapRealMatrix out = new OpenMapRealMatrix(rows, outCols);
+ for (OpenIntToDoubleHashMap.Iterator iterator = entries.iterator(); iterator.hasNext();) {
+ iterator.advance();
+ final double value = iterator.value();
+ final int key = iterator.key();
+ final int i = key / columns;
+ final int k = key % columns;
+ for (int j = 0; j < outCols; ++j) {
+ final int rightKey = m.computeKey(k, j);
+ if (m.entries.containsKey(rightKey)) {
+ final int outKey = out.computeKey(i, j);
+ final double outValue =
+ out.entries.get(outKey) + value * m.entries.get(rightKey);
+ if (outValue == 0.0) {
+ out.entries.remove(outKey);
+ } else {
+ out.entries.put(outKey, outValue);
+ }
+ }
+ }
+ }
+
+ return out;
+
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public double getEntry(int row, int column) throws MatrixIndexException {
+ MatrixUtils.checkRowIndex(this, row);
+ MatrixUtils.checkColumnIndex(this, column);
+ return entries.get(computeKey(row, column));
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public int getRowDimension() {
+ return rows;
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public void setEntry(int row, int column, double value)
+ throws MatrixIndexException {
+ MatrixUtils.checkRowIndex(this, row);
+ MatrixUtils.checkColumnIndex(this, column);
+ if (value == 0.0) {
+ entries.remove(computeKey(row, column));
+ } else {
+ entries.put(computeKey(row, column), value);
+ }
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public void addToEntry(int row, int column, double increment)
+ throws MatrixIndexException {
+ MatrixUtils.checkRowIndex(this, row);
+ MatrixUtils.checkColumnIndex(this, column);
+ final int key = computeKey(row, column);
+ final double value = entries.get(key) + increment;
+ if (value == 0.0) {
+ entries.remove(key);
+ } else {
+ entries.put(key, value);
+ }
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public void multiplyEntry(int row, int column, double factor)
+ throws MatrixIndexException {
+ MatrixUtils.checkRowIndex(this, row);
+ MatrixUtils.checkColumnIndex(this, column);
+ final int key = computeKey(row, column);
+ final double value = entries.get(key) * factor;
+ if (value == 0.0) {
+ entries.remove(key);
+ } else {
+ entries.put(key, value);
+ }
+ }
+
+ /**
+ * Compute the key to access a matrix element
+ * @param row row index of the matrix element
+ * @param column column index of the matrix element
+ * @return key within the map to access the matrix element
+ */
+ private int computeKey(int row, int column) {
+ return row * columns + column;
+ }
+
+
+}