Array2DRowRealMatrix.java

/*
 * 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.legacy.linear;

import java.io.Serializable;

import org.apache.commons.math4.legacy.exception.DimensionMismatchException;
import org.apache.commons.math4.legacy.exception.MathIllegalStateException;
import org.apache.commons.math4.legacy.exception.NoDataException;
import org.apache.commons.math4.legacy.exception.NullArgumentException;
import org.apache.commons.math4.legacy.exception.util.LocalizedFormats;

/**
 * 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 org.apache.commons.math4.legacy.exception.NotStrictlyPositiveException
     * if the row or column dimension is not positive.
     */
    public Array2DRowRealMatrix(final int rowDimension,
                                final int columnDimension) {
        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}.</p>
     *
     * @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) {
        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) {
        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) {
        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) {
        // Safety check.
        checkAdd(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) {
        checkAdd(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) {
        checkMultiply(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) {
        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);
            }
            NullArgumentException.check(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) {
        try {
            return data[row][column];
        } catch (IndexOutOfBoundsException e) {
            // throw the exact cause of the exception
            MatrixUtils.checkMatrixIndex(this, row, column);
            // should never happen
            throw e;
        }
    }

    /** {@inheritDoc} */
    @Override
    public void setEntry(final int row, final int column, final double value) {
        MatrixUtils.checkMatrixIndex(this, row, column);
        data[row][column] = value;
    }

    /** {@inheritDoc} */
    @Override
    public void addToEntry(final int row, final int column,
                           final double increment) {
        MatrixUtils.checkMatrixIndex(this, row, column);
        data[row][column] += increment;
    }

    /** {@inheritDoc} */
    @Override
    public void multiplyEntry(final int row, final int column,
                              final double factor) {
        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) {
        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) {
        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 RealMatrix getSubMatrix(final int startRow, final int endRow,
                                   final int startColumn, final int endColumn) {
        MatrixUtils.checkSubMatrixIndex(this, startRow, endRow, startColumn, endColumn);
        final int rowCount = endRow - startRow + 1;
        final int columnCount = endColumn - startColumn + 1;
        final double[][] outData = new double[rowCount][columnCount];
        for (int i = 0; i < rowCount; ++i) {
            System.arraycopy(data[startRow + i], startColumn, outData[i], 0, columnCount);
        }

        Array2DRowRealMatrix subMatrix = new Array2DRowRealMatrix();
        subMatrix.data = outData;
        return subMatrix;
    }

    /** {@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) {
        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) {
        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) {
        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) {
        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) {
        setSubMatrix(in, 0, 0);
    }

    /** {@inheritDoc} */
    @Override
    public double[] getRow(final int row) {
        MatrixUtils.checkRowIndex(this, row);
        final int nCols = getColumnDimension();
        final double[] out = new double[nCols];
        System.arraycopy(data[row], 0, out, 0, nCols);
        return out;
    }

    /** {@inheritDoc} */
    @Override
    public void setRow(final int row,
                       final double[] array) {
        MatrixUtils.checkRowIndex(this, row);
        final int nCols = getColumnDimension();
        if (array.length != nCols) {
                throw new MatrixDimensionMismatchException(1, array.length, 1, nCols);
        }
        System.arraycopy(array, 0, data[row], 0, nCols);
    }
}