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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.math3.linear;
+
+import org.apache.commons.math3.Field;
+import org.apache.commons.math3.FieldElement;
+import org.apache.commons.math3.util.OpenIntToFieldHashMap;
+
+/**
+ * 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.
+ *
+ * @param <T> the type of the field elements
+ * @since 2.0
+ */
+public class SparseFieldMatrix<T extends FieldElement<T>> extends AbstractFieldMatrix<T> {
+
+ /** Storage for (sparse) matrix elements. */
+ private final OpenIntToFieldHashMap<T> entries;
+
+ /** Row dimension. */
+ private final int rows;
+
+ /** Column dimension. */
+ private final int columns;
+
+ /**
+ * Create a matrix with no data.
+ *
+ * @param field Field to which the elements belong.
+ */
+ public SparseFieldMatrix(final Field<T> field) {
+ super(field);
+ rows = 0;
+ columns = 0;
+ entries = new OpenIntToFieldHashMap<T>(field);
+ }
+
+ /**
+ * Create a new SparseFieldMatrix<T> 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 org.apache.commons.math3.exception.NotStrictlyPositiveException if row or column
+ * dimension is not positive.
+ */
+ public SparseFieldMatrix(
+ final Field<T> field, final int rowDimension, final int columnDimension) {
+ super(field, rowDimension, columnDimension);
+ this.rows = rowDimension;
+ this.columns = columnDimension;
+ entries = new OpenIntToFieldHashMap<T>(field);
+ }
+
+ /**
+ * Copy constructor.
+ *
+ * @param other Instance to copy.
+ */
+ public SparseFieldMatrix(SparseFieldMatrix<T> other) {
+ super(other.getField(), other.getRowDimension(), other.getColumnDimension());
+ rows = other.getRowDimension();
+ columns = other.getColumnDimension();
+ entries = new OpenIntToFieldHashMap<T>(other.entries);
+ }
+
+ /**
+ * Generic copy constructor.
+ *
+ * @param other Instance to copy.
+ */
+ public SparseFieldMatrix(FieldMatrix<T> other) {
+ super(other.getField(), other.getRowDimension(), other.getColumnDimension());
+ rows = other.getRowDimension();
+ columns = other.getColumnDimension();
+ entries = new OpenIntToFieldHashMap<T>(getField());
+ for (int i = 0; i < rows; i++) {
+ for (int j = 0; j < columns; j++) {
+ setEntry(i, j, other.getEntry(i, j));
+ }
+ }
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public void addToEntry(int row, int column, T increment) {
+ checkRowIndex(row);
+ checkColumnIndex(column);
+ final int key = computeKey(row, column);
+ final T value = entries.get(key).add(increment);
+ if (getField().getZero().equals(value)) {
+ entries.remove(key);
+ } else {
+ entries.put(key, value);
+ }
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public FieldMatrix<T> copy() {
+ return new SparseFieldMatrix<T>(this);
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public FieldMatrix<T> createMatrix(int rowDimension, int columnDimension) {
+ return new SparseFieldMatrix<T>(getField(), rowDimension, columnDimension);
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public int getColumnDimension() {
+ return columns;
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public T getEntry(int row, int column) {
+ checkRowIndex(row);
+ checkColumnIndex(column);
+ return entries.get(computeKey(row, column));
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public int getRowDimension() {
+ return rows;
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public void multiplyEntry(int row, int column, T factor) {
+ checkRowIndex(row);
+ checkColumnIndex(column);
+ final int key = computeKey(row, column);
+ final T value = entries.get(key).multiply(factor);
+ if (getField().getZero().equals(value)) {
+ entries.remove(key);
+ } else {
+ entries.put(key, value);
+ }
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public void setEntry(int row, int column, T value) {
+ checkRowIndex(row);
+ checkColumnIndex(column);
+ if (getField().getZero().equals(value)) {
+ entries.remove(computeKey(row, column));
+ } else {
+ entries.put(computeKey(row, column), 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 the key within the map to access the matrix element.
+ */
+ private int computeKey(int row, int column) {
+ return row * columns + column;
+ }
+}