| /* |
| * 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.math4.linear; |
| |
| import java.io.Serializable; |
| |
| import org.apache.commons.math4.exception.DimensionMismatchException; |
| import org.apache.commons.math4.exception.NotStrictlyPositiveException; |
| import org.apache.commons.math4.exception.NumberIsTooLargeException; |
| import org.apache.commons.math4.exception.OutOfRangeException; |
| import org.apache.commons.math4.util.OpenIntToDoubleHashMap; |
| |
| /** |
| * Sparse matrix implementation based on an open addressed map. |
| * |
| * <p> |
| * Caveat: This implementation assumes that, for any {@code x}, |
| * the equality {@code x * 0d == 0d} holds. But it is is not true for |
| * {@code NaN}. Moreover, zero entries will lose their sign. |
| * Some operations (that involve {@code NaN} and/or infinities) may |
| * thus give incorrect results. |
| * </p> |
| * @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. |
| * @throws NotStrictlyPositiveException if row or column dimension is not |
| * positive. |
| * @throws NumberIsTooLargeException if the total number of entries of the |
| * matrix is larger than {@code Integer.MAX_VALUE}. |
| */ |
| public OpenMapRealMatrix(int rowDimension, int columnDimension) |
| throws NotStrictlyPositiveException, NumberIsTooLargeException { |
| super(rowDimension, columnDimension); |
| long lRow = rowDimension; |
| long lCol = columnDimension; |
| if (lRow * lCol >= Integer.MAX_VALUE) { |
| throw new NumberIsTooLargeException(lRow * lCol, Integer.MAX_VALUE, false); |
| } |
| 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} |
| * |
| * @throws NumberIsTooLargeException if the total number of entries of the |
| * matrix is larger than {@code Integer.MAX_VALUE}. |
| */ |
| @Override |
| public OpenMapRealMatrix createMatrix(int rowDimension, int columnDimension) |
| throws NotStrictlyPositiveException, NumberIsTooLargeException { |
| return new OpenMapRealMatrix(rowDimension, columnDimension); |
| } |
| |
| /** {@inheritDoc} */ |
| @Override |
| public int getColumnDimension() { |
| return columns; |
| } |
| |
| /** |
| * Compute the sum of this matrix and {@code m}. |
| * |
| * @param m Matrix to be added. |
| * @return {@code this} + {@code m}. |
| * @throws MatrixDimensionMismatchException if {@code m} is not the same |
| * size as {@code this}. |
| */ |
| public OpenMapRealMatrix add(OpenMapRealMatrix m) |
| throws MatrixDimensionMismatchException { |
| |
| 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 MatrixDimensionMismatchException { |
| if (m instanceof OpenMapRealMatrix) { |
| return subtract((OpenMapRealMatrix) m); |
| } |
| return (OpenMapRealMatrix) super.subtract(m); |
| } |
| |
| /** |
| * Subtract {@code m} from this matrix. |
| * |
| * @param m Matrix to be subtracted. |
| * @return {@code this} - {@code m}. |
| * @throws MatrixDimensionMismatchException if {@code m} is not the same |
| * size as {@code this}. |
| */ |
| public OpenMapRealMatrix subtract(OpenMapRealMatrix m) |
| throws MatrixDimensionMismatchException { |
| 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} |
| * |
| * @throws NumberIsTooLargeException if {@code m} is an |
| * {@code OpenMapRealMatrix}, and the total number of entries of the product |
| * is larger than {@code Integer.MAX_VALUE}. |
| */ |
| @Override |
| public RealMatrix multiply(final RealMatrix m) |
| throws DimensionMismatchException, NumberIsTooLargeException { |
| if (m instanceof OpenMapRealMatrix) { |
| return multiply((OpenMapRealMatrix) m); |
| } |
| |
| 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; |
| } |
| |
| /** |
| * Postmultiply this matrix by {@code m}. |
| * |
| * @param m Matrix to postmultiply by. |
| * @return {@code this} * {@code m}. |
| * @throws DimensionMismatchException if the number of rows of {@code m} |
| * differ from the number of columns of {@code this} matrix. |
| * @throws NumberIsTooLargeException if the total number of entries of the |
| * product is larger than {@code Integer.MAX_VALUE}. |
| */ |
| public OpenMapRealMatrix multiply(OpenMapRealMatrix m) |
| throws DimensionMismatchException, NumberIsTooLargeException { |
| // 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 OutOfRangeException { |
| 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 OutOfRangeException { |
| 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 OutOfRangeException { |
| 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 OutOfRangeException { |
| 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; |
| } |
| |
| |
| } |