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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.exception.DimensionMismatchException;
+import org.apache.commons.math3.exception.MathIllegalStateException;
+import org.apache.commons.math3.exception.NoDataException;
+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.MathUtils;
+
+import java.io.Serializable;
+
+/** Implementation of {@link RealMatrix} using a {@code double[][]} array to store entries. */
+public class Array2DRowRealMatrix extends AbstractRealMatrix implements Serializable {
+ /** Serializable version identifier. */
+ private static final long serialVersionUID = -1067294169172445528L;
+
+ /** Entries of the matrix. */
+ private double data[][];
+
+ /** Creates a matrix with no data */
+ public Array2DRowRealMatrix() {}
+
+ /**
+ * Create a new RealMatrix with the supplied row and column dimensions.
+ *
+ * @param rowDimension Number of rows in the new matrix.
+ * @param columnDimension Number of columns in the new matrix.
+ * @throws NotStrictlyPositiveException if the row or column dimension is not positive.
+ */
+ public Array2DRowRealMatrix(final int rowDimension, final int columnDimension)
+ throws NotStrictlyPositiveException {
+ super(rowDimension, columnDimension);
+ data = new double[rowDimension][columnDimension];
+ }
+
+ /**
+ * Create a new {@code RealMatrix} 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 #Array2DRowRealMatrix(double[][], 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 NoDataException if {@code d} row or column dimension is zero.
+ * @throws NullArgumentException if {@code d} is {@code null}.
+ * @see #Array2DRowRealMatrix(double[][], boolean)
+ */
+ public Array2DRowRealMatrix(final double[][] d)
+ throws DimensionMismatchException, NoDataException, NullArgumentException {
+ copyIn(d);
+ }
+
+ /**
+ * Create a new RealMatrix using the input array as the underlying data array. If an array is
+ * built specially in order to be embedded in a RealMatrix 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 new matrix.
+ * @param copyArray if {@code true}, the input array will be copied, otherwise it will be
+ * referenced.
+ * @throws DimensionMismatchException if {@code d} is not rectangular.
+ * @throws NoDataException if {@code d} row or column dimension is zero.
+ * @throws NullArgumentException if {@code d} is {@code null}.
+ * @see #Array2DRowRealMatrix(double[][])
+ */
+ public Array2DRowRealMatrix(final double[][] d, final boolean copyArray)
+ throws DimensionMismatchException, NoDataException, NullArgumentException {
+ if (copyArray) {
+ copyIn(d);
+ } else {
+ if (d == null) {
+ throw new NullArgumentException();
+ }
+ 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(d[r].length, nCols);
+ }
+ }
+ data = d;
+ }
+ }
+
+ /**
+ * Create a new (column) RealMatrix 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.
+ */
+ public Array2DRowRealMatrix(final double[] v) {
+ final int nRows = v.length;
+ data = new double[nRows][1];
+ for (int row = 0; row < nRows; row++) {
+ data[row][0] = v[row];
+ }
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public RealMatrix createMatrix(final int rowDimension, final int columnDimension)
+ throws NotStrictlyPositiveException {
+ return new Array2DRowRealMatrix(rowDimension, columnDimension);
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public RealMatrix copy() {
+ return new Array2DRowRealMatrix(copyOut(), false);
+ }
+
+ /**
+ * Compute the sum of {@code this} and {@code m}.
+ *
+ * @param m Matrix to be added.
+ * @return {@code this + m}.
+ * @throws MatrixDimensionMismatchException if {@code m} is not the same size as {@code this}.
+ */
+ public Array2DRowRealMatrix add(final Array2DRowRealMatrix m)
+ throws MatrixDimensionMismatchException {
+ // Safety check.
+ MatrixUtils.checkAdditionCompatible(this, m);
+
+ final int rowCount = getRowDimension();
+ final int columnCount = getColumnDimension();
+ final double[][] outData = new double[rowCount][columnCount];
+ for (int row = 0; row < rowCount; row++) {
+ final double[] dataRow = data[row];
+ final double[] mRow = m.data[row];
+ final double[] outDataRow = outData[row];
+ for (int col = 0; col < columnCount; col++) {
+ outDataRow[col] = dataRow[col] + mRow[col];
+ }
+ }
+
+ return new Array2DRowRealMatrix(outData, false);
+ }
+
+ /**
+ * Returns {@code this} minus {@code m}.
+ *
+ * @param m Matrix to be subtracted.
+ * @return {@code this - m}
+ * @throws MatrixDimensionMismatchException if {@code m} is not the same size as {@code this}.
+ */
+ public Array2DRowRealMatrix subtract(final Array2DRowRealMatrix m)
+ throws MatrixDimensionMismatchException {
+ MatrixUtils.checkSubtractionCompatible(this, m);
+
+ final int rowCount = getRowDimension();
+ final int columnCount = getColumnDimension();
+ final double[][] outData = new double[rowCount][columnCount];
+ for (int row = 0; row < rowCount; row++) {
+ final double[] dataRow = data[row];
+ final double[] mRow = m.data[row];
+ final double[] outDataRow = outData[row];
+ for (int col = 0; col < columnCount; col++) {
+ outDataRow[col] = dataRow[col] - mRow[col];
+ }
+ }
+
+ return new Array2DRowRealMatrix(outData, false);
+ }
+
+ /**
+ * Returns the result of postmultiplying {@code this} by {@code m}.
+ *
+ * @param m matrix to postmultiply by
+ * @return {@code this * m}
+ * @throws DimensionMismatchException if {@code columnDimension(this) != rowDimension(m)}
+ */
+ public Array2DRowRealMatrix multiply(final Array2DRowRealMatrix m)
+ throws DimensionMismatchException {
+ MatrixUtils.checkMultiplicationCompatible(this, m);
+
+ final int nRows = this.getRowDimension();
+ final int nCols = m.getColumnDimension();
+ final int nSum = this.getColumnDimension();
+
+ final double[][] outData = new double[nRows][nCols];
+ // Will hold a column of "m".
+ final double[] mCol = new double[nSum];
+ final double[][] mData = m.data;
+
+ // Multiply.
+ for (int col = 0; col < nCols; col++) {
+ // Copy all elements of column "col" of "m" so that
+ // will be in contiguous memory.
+ for (int mRow = 0; mRow < nSum; mRow++) {
+ mCol[mRow] = mData[mRow][col];
+ }
+
+ for (int row = 0; row < nRows; row++) {
+ final double[] dataRow = data[row];
+ double sum = 0;
+ for (int i = 0; i < nSum; i++) {
+ sum += dataRow[i] * mCol[i];
+ }
+ outData[row][col] = sum;
+ }
+ }
+
+ return new Array2DRowRealMatrix(outData, false);
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public double[][] getData() {
+ return copyOut();
+ }
+
+ /**
+ * Get a reference to the underlying data array.
+ *
+ * @return 2-dimensional array of entries.
+ */
+ public double[][] getDataRef() {
+ return data;
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public void setSubMatrix(final double[][] subMatrix, final int row, final int column)
+ throws NoDataException,
+ OutOfRangeException,
+ DimensionMismatchException,
+ NullArgumentException {
+ 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);
+ }
+ MathUtils.checkNotNull(subMatrix);
+ 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 = new double[subMatrix.length][nCols];
+ for (int i = 0; i < data.length; ++i) {
+ if (subMatrix[i].length != nCols) {
+ throw new DimensionMismatchException(subMatrix[i].length, nCols);
+ }
+ System.arraycopy(subMatrix[i], 0, data[i + row], column, nCols);
+ }
+ } else {
+ super.setSubMatrix(subMatrix, row, column);
+ }
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public double getEntry(final int row, final int column) throws OutOfRangeException {
+ MatrixUtils.checkMatrixIndex(this, row, column);
+ return data[row][column];
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public void setEntry(final int row, final int column, final double value)
+ throws OutOfRangeException {
+ MatrixUtils.checkMatrixIndex(this, row, column);
+ data[row][column] = value;
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public void addToEntry(final int row, final int column, final double increment)
+ throws OutOfRangeException {
+ MatrixUtils.checkMatrixIndex(this, row, column);
+ data[row][column] += increment;
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public void multiplyEntry(final int row, final int column, final double factor)
+ throws OutOfRangeException {
+ MatrixUtils.checkMatrixIndex(this, row, column);
+ data[row][column] *= 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 double[] operate(final double[] v) throws DimensionMismatchException {
+ final int nRows = this.getRowDimension();
+ final int nCols = this.getColumnDimension();
+ if (v.length != nCols) {
+ throw new DimensionMismatchException(v.length, nCols);
+ }
+ final double[] out = new double[nRows];
+ for (int row = 0; row < nRows; row++) {
+ final double[] dataRow = data[row];
+ double sum = 0;
+ for (int i = 0; i < nCols; i++) {
+ sum += dataRow[i] * v[i];
+ }
+ out[row] = sum;
+ }
+ return out;
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public double[] preMultiply(final double[] v) throws DimensionMismatchException {
+ final int nRows = getRowDimension();
+ final int nCols = getColumnDimension();
+ if (v.length != nRows) {
+ throw new DimensionMismatchException(v.length, nRows);
+ }
+
+ final double[] out = new double[nCols];
+ for (int col = 0; col < nCols; ++col) {
+ double sum = 0;
+ for (int i = 0; i < nRows; ++i) {
+ sum += data[i][col] * v[i];
+ }
+ out[col] = sum;
+ }
+
+ return out;
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public double walkInRowOrder(final RealMatrixChangingVisitor 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 double[] rowI = data[i];
+ for (int j = 0; j < columns; ++j) {
+ rowI[j] = visitor.visit(i, j, rowI[j]);
+ }
+ }
+ return visitor.end();
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public double walkInRowOrder(final RealMatrixPreservingVisitor 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 double[] rowI = data[i];
+ for (int j = 0; j < columns; ++j) {
+ visitor.visit(i, j, rowI[j]);
+ }
+ }
+ return visitor.end();
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public double walkInRowOrder(
+ final RealMatrixChangingVisitor visitor,
+ final int startRow,
+ final int endRow,
+ final int startColumn,
+ final int endColumn)
+ throws OutOfRangeException, NumberIsTooSmallException {
+ MatrixUtils.checkSubMatrixIndex(this, startRow, endRow, startColumn, endColumn);
+ visitor.start(
+ getRowDimension(), getColumnDimension(), startRow, endRow, startColumn, endColumn);
+ for (int i = startRow; i <= endRow; ++i) {
+ final double[] rowI = data[i];
+ for (int j = startColumn; j <= endColumn; ++j) {
+ rowI[j] = visitor.visit(i, j, rowI[j]);
+ }
+ }
+ return visitor.end();
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public double walkInRowOrder(
+ final RealMatrixPreservingVisitor visitor,
+ final int startRow,
+ final int endRow,
+ final int startColumn,
+ final int endColumn)
+ throws OutOfRangeException, NumberIsTooSmallException {
+ MatrixUtils.checkSubMatrixIndex(this, startRow, endRow, startColumn, endColumn);
+ visitor.start(
+ getRowDimension(), getColumnDimension(), startRow, endRow, startColumn, endColumn);
+ for (int i = startRow; i <= endRow; ++i) {
+ final double[] rowI = data[i];
+ for (int j = startColumn; j <= endColumn; ++j) {
+ visitor.visit(i, j, rowI[j]);
+ }
+ }
+ return visitor.end();
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public double walkInColumnOrder(final RealMatrixChangingVisitor 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 double[] rowI = data[i];
+ rowI[j] = visitor.visit(i, j, rowI[j]);
+ }
+ }
+ return visitor.end();
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public double walkInColumnOrder(final RealMatrixPreservingVisitor 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 double walkInColumnOrder(
+ final RealMatrixChangingVisitor visitor,
+ final int startRow,
+ final int endRow,
+ final int startColumn,
+ final int endColumn)
+ throws OutOfRangeException, NumberIsTooSmallException {
+ MatrixUtils.checkSubMatrixIndex(this, 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 double[] rowI = data[i];
+ rowI[j] = visitor.visit(i, j, rowI[j]);
+ }
+ }
+ return visitor.end();
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public double walkInColumnOrder(
+ final RealMatrixPreservingVisitor visitor,
+ final int startRow,
+ final int endRow,
+ final int startColumn,
+ final int endColumn)
+ throws OutOfRangeException, NumberIsTooSmallException {
+ MatrixUtils.checkSubMatrixIndex(this, 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 double[][] copyOut() {
+ final int nRows = this.getRowDimension();
+ final double[][] out = new double[nRows][this.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 double[][] in)
+ throws DimensionMismatchException, NoDataException, NullArgumentException {
+ setSubMatrix(in, 0, 0);
+ }
+}