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Java example source code file (Array2DRowFieldMatrix.java)

This example Java source code file (Array2DRowFieldMatrix.java) is included in the alvinalexander.com "Java Source Code Warehouse" project. The intent of this project is to help you "Learn Java by Example" TM.

Learn more about this Java project at its project page.

Java - Java tags/keywords

array2drowfieldmatrix, dimensionmismatchexception, fieldelement, fieldmatrixchangingvisitor, fieldmatrixpreservingvisitor, matrixdimensionmismatchexception, nodataexception, notstrictlypositiveexception, nullargumentexception, numberistoosmallexception, outofrangeexception, override, serializable

The Array2DRowFieldMatrix.java Java example source code

/*
 * 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 java.io.Serializable;

import org.apache.commons.math3.Field;
import org.apache.commons.math3.FieldElement;
import org.apache.commons.math3.exception.NoDataException;
import org.apache.commons.math3.exception.DimensionMismatchException;
import org.apache.commons.math3.exception.MathIllegalStateException;
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.MathArrays;
import org.apache.commons.math3.util.MathUtils;

/**
 * Implementation of FieldMatrix<T> using a {@link FieldElement}[][] array to store entries.
 * <p>
 * As specified in the {@link FieldMatrix} interface, matrix element indexing
 * is 0-based -- e.g., <code>getEntry(0, 0)
 * returns the element in the first row, first column of the matrix.</li>
 * </p>
 *
 * @param <T> the type of the field elements
 */
public class Array2DRowFieldMatrix<T extends FieldElement
    extends AbstractFieldMatrix<T>
    implements Serializable {
    /** Serializable version identifier */
    private static final long serialVersionUID = 7260756672015356458L;
    /** Entries of the matrix */
    private T[][] data;

    /**
     * Creates a matrix with no data
     * @param field field to which the elements belong
     */
    public Array2DRowFieldMatrix(final Field<T> field) {
        super(field);
    }

    /**
     * Create a new {@code FieldMatrix<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 NotStrictlyPositiveException if row or column dimension is not positive.
     */
    public Array2DRowFieldMatrix(final Field<T> field, final int rowDimension,
                                 final int columnDimension)
        throws NotStrictlyPositiveException {
        super(field, rowDimension, columnDimension);
        data = MathArrays.buildArray(field, rowDimension, columnDimension);
    }

    /**
     * Create a new {@code FieldMatrix<T>} 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 #Array2DRowFieldMatrix(FieldElement[][], 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 NullArgumentException if {@code d} is {@code null}.
     * @throws NoDataException if there are not at least one row and one column.
     * @see #Array2DRowFieldMatrix(FieldElement[][], boolean)
     */
    public Array2DRowFieldMatrix(final T[][] d)
        throws DimensionMismatchException, NullArgumentException,
        NoDataException {
        this(extractField(d), d);
    }

    /**
     * Create a new {@code FieldMatrix<T>} 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 #Array2DRowFieldMatrix(FieldElement[][], boolean)}
     * with the second argument set to {@code true}.</p>
     *
     * @param field Field to which the elements belong.
     * @param d Data for the new matrix.
     * @throws DimensionMismatchException if {@code d} is not rectangular.
     * @throws NullArgumentException if {@code d} is {@code null}.
     * @throws NoDataException if there are not at least one row and one column.
     * @see #Array2DRowFieldMatrix(FieldElement[][], boolean)
     */
    public Array2DRowFieldMatrix(final Field<T> field, final T[][] d)
        throws DimensionMismatchException, NullArgumentException,
        NoDataException {
        super(field);
        copyIn(d);
    }

    /**
     * Create a new {@code FieldMatrix<T>} using the input array as the underlying
     * data array.
     * <p>If an array is built specially in order to be embedded in a
     * {@code FieldMatrix<T>} 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.</p>
     *
     * @param d Data for the new matrix.
     * @param copyArray Whether to copy or reference the input array.
     * @throws DimensionMismatchException if {@code d} is not rectangular.
     * @throws NoDataException if there are not at least one row and one column.
     * @throws NullArgumentException if {@code d} is {@code null}.
     * @see #Array2DRowFieldMatrix(FieldElement[][])
     */
    public Array2DRowFieldMatrix(final T[][] d, final boolean copyArray)
        throws DimensionMismatchException, NoDataException,
        NullArgumentException {
        this(extractField(d), d, copyArray);
    }

    /**
     * Create a new {@code FieldMatrix<T>} using the input array as the underlying
     * data array.
     * <p>If an array is built specially in order to be embedded in a
     * {@code FieldMatrix<T>} 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.</p>
     *
     * @param field Field to which the elements belong.
     * @param d Data for the new matrix.
     * @param copyArray Whether to copy or reference the input array.
     * @throws DimensionMismatchException if {@code d} is not rectangular.
     * @throws NoDataException if there are not at least one row and one column.
     * @throws NullArgumentException if {@code d} is {@code null}.
     * @see #Array2DRowFieldMatrix(FieldElement[][])
     */
    public Array2DRowFieldMatrix(final Field<T> field, final T[][] d, final boolean copyArray)
        throws DimensionMismatchException, NoDataException, NullArgumentException {
        super(field);
        if (copyArray) {
            copyIn(d);
        } else {
            MathUtils.checkNotNull(d);
            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(nCols, d[r].length);
                }
            }
            data = d;
        }
    }

    /**
     * Create a new (column) {@code FieldMatrix<T>} 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.
     * @throws NoDataException if v is empty
     */
    public Array2DRowFieldMatrix(final T[] v) throws NoDataException {
        this(extractField(v), v);
    }

    /**
     * Create a new (column) {@code FieldMatrix<T>} using {@code v} as the
     * data for the unique column of the created matrix.
     * The input array is copied.
     *
     * @param field Field to which the elements belong.
     * @param v Column vector holding data for new matrix.
     */
    public Array2DRowFieldMatrix(final Field<T> field, final T[] v) {
        super(field);
        final int nRows = v.length;
        data = MathArrays.buildArray(getField(), nRows, 1);
        for (int row = 0; row < nRows; row++) {
            data[row][0] = v[row];
        }
    }

    /** {@inheritDoc} */
    @Override
    public FieldMatrix<T> createMatrix(final int rowDimension,
                                       final int columnDimension)
        throws NotStrictlyPositiveException {
        return new Array2DRowFieldMatrix<T>(getField(), rowDimension, columnDimension);
    }

    /** {@inheritDoc} */
    @Override
    public FieldMatrix<T> copy() {
        return new Array2DRowFieldMatrix<T>(getField(), copyOut(), false);
    }

    /**
     * Add {@code m} to this matrix.
     *
     * @param m Matrix to be added.
     * @return {@code this} + m.
     * @throws MatrixDimensionMismatchException if {@code m} is not the same
     * size as this matrix.
     */
    public Array2DRowFieldMatrix<T> add(final Array2DRowFieldMatrix m)
        throws MatrixDimensionMismatchException {
        // safety check
        checkAdditionCompatible(m);

        final int rowCount    = getRowDimension();
        final int columnCount = getColumnDimension();
        final T[][] outData = MathArrays.buildArray(getField(), rowCount, columnCount);
        for (int row = 0; row < rowCount; row++) {
            final T[] dataRow    = data[row];
            final T[] mRow       = m.data[row];
            final T[] outDataRow = outData[row];
            for (int col = 0; col < columnCount; col++) {
                outDataRow[col] = dataRow[col].add(mRow[col]);
            }
        }

        return new Array2DRowFieldMatrix<T>(getField(), outData, false);
    }

    /**
     * Subtract {@code m} from this matrix.
     *
     * @param m Matrix to be subtracted.
     * @return {@code this} + m.
     * @throws MatrixDimensionMismatchException if {@code m} is not the same
     * size as this matrix.
     */
    public Array2DRowFieldMatrix<T> subtract(final Array2DRowFieldMatrix m)
        throws MatrixDimensionMismatchException {
        // safety check
        checkSubtractionCompatible(m);

        final int rowCount    = getRowDimension();
        final int columnCount = getColumnDimension();
        final T[][] outData = MathArrays.buildArray(getField(), rowCount, columnCount);
        for (int row = 0; row < rowCount; row++) {
            final T[] dataRow    = data[row];
            final T[] mRow       = m.data[row];
            final T[] outDataRow = outData[row];
            for (int col = 0; col < columnCount; col++) {
                outDataRow[col] = dataRow[col].subtract(mRow[col]);
            }
        }

        return new Array2DRowFieldMatrix<T>(getField(), outData, false);

    }

    /**
     * Postmultiplying this matrix by {@code m}.
     *
     * @param m Matrix to postmultiply by.
     * @return {@code this} * m.
     * @throws DimensionMismatchException if the number of columns of this
     * matrix is not equal to the number of rows of {@code m}.
     */
    public Array2DRowFieldMatrix<T> multiply(final Array2DRowFieldMatrix m)
        throws DimensionMismatchException {
        // safety check
        checkMultiplicationCompatible(m);

        final int nRows = this.getRowDimension();
        final int nCols = m.getColumnDimension();
        final int nSum = this.getColumnDimension();
        final T[][] outData = MathArrays.buildArray(getField(), nRows, nCols);
        for (int row = 0; row < nRows; row++) {
            final T[] dataRow    = data[row];
            final T[] outDataRow = outData[row];
            for (int col = 0; col < nCols; col++) {
                T sum = getField().getZero();
                for (int i = 0; i < nSum; i++) {
                    sum = sum.add(dataRow[i].multiply(m.data[i][col]));
                }
                outDataRow[col] = sum;
            }
        }

        return new Array2DRowFieldMatrix<T>(getField(), outData, false);

    }

    /** {@inheritDoc} */
    @Override
    public T[][] getData() {
        return copyOut();
    }

    /**
     * Get a reference to the underlying data array.
     * This methods returns internal data, <strong>not fresh copy of it.
     *
     * @return the 2-dimensional array of entries.
     */
    public T[][] getDataRef() {
        return data;
    }

    /** {@inheritDoc} */
    @Override
    public void setSubMatrix(final T[][] subMatrix, final int row,
                             final int column)
        throws OutOfRangeException, NullArgumentException, NoDataException,
        DimensionMismatchException {
        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);
            }
            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 = MathArrays.buildArray(getField(), subMatrix.length, nCols);
            for (int i = 0; i < data.length; ++i) {
                if (subMatrix[i].length != nCols) {
                    throw new DimensionMismatchException(nCols, subMatrix[i].length);
                }
                System.arraycopy(subMatrix[i], 0, data[i + row], column, nCols);
            }
        } else {
            super.setSubMatrix(subMatrix, row, column);
        }

    }

    /** {@inheritDoc} */
    @Override
    public T getEntry(final int row, final int column)
        throws OutOfRangeException {
        checkRowIndex(row);
        checkColumnIndex(column);

        return data[row][column];
    }

    /** {@inheritDoc} */
    @Override
    public void setEntry(final int row, final int column, final T value)
        throws OutOfRangeException {
        checkRowIndex(row);
        checkColumnIndex(column);

        data[row][column] = value;
    }

    /** {@inheritDoc} */
    @Override
    public void addToEntry(final int row, final int column, final T increment)
        throws OutOfRangeException {
        checkRowIndex(row);
        checkColumnIndex(column);

        data[row][column] = data[row][column].add(increment);
    }

    /** {@inheritDoc} */
    @Override
    public void multiplyEntry(final int row, final int column, final T factor)
        throws OutOfRangeException {
        checkRowIndex(row);
        checkColumnIndex(column);

        data[row][column] = data[row][column].multiply(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 T[] operate(final T[] v) throws DimensionMismatchException {
        final int nRows = this.getRowDimension();
        final int nCols = this.getColumnDimension();
        if (v.length != nCols) {
            throw new DimensionMismatchException(v.length, nCols);
        }
        final T[] out = MathArrays.buildArray(getField(), nRows);
        for (int row = 0; row < nRows; row++) {
            final T[] dataRow = data[row];
            T sum = getField().getZero();
            for (int i = 0; i < nCols; i++) {
                sum = sum.add(dataRow[i].multiply(v[i]));
            }
            out[row] = sum;
        }
        return out;
    }

    /** {@inheritDoc} */
    @Override
    public T[] preMultiply(final T[] v) throws DimensionMismatchException {
        final int nRows = getRowDimension();
        final int nCols = getColumnDimension();
        if (v.length != nRows) {
            throw new DimensionMismatchException(v.length, nRows);
        }

        final T[] out = MathArrays.buildArray(getField(), nCols);
        for (int col = 0; col < nCols; ++col) {
            T sum = getField().getZero();
            for (int i = 0; i < nRows; ++i) {
                sum = sum.add(data[i][col].multiply(v[i]));
            }
            out[col] = sum;
        }

        return out;
    }

    /** {@inheritDoc} */
    @Override
    public T walkInRowOrder(final FieldMatrixChangingVisitor<T> 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 T[] rowI = data[i];
            for (int j = 0; j < columns; ++j) {
                rowI[j] = visitor.visit(i, j, rowI[j]);
            }
        }
        return visitor.end();
    }

    /** {@inheritDoc} */
    @Override
    public T walkInRowOrder(final FieldMatrixPreservingVisitor<T> 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 T[] rowI = data[i];
            for (int j = 0; j < columns; ++j) {
                visitor.visit(i, j, rowI[j]);
            }
        }
        return visitor.end();
    }

    /** {@inheritDoc} */
    @Override
    public T walkInRowOrder(final FieldMatrixChangingVisitor<T> visitor,
                            final int startRow, final int endRow,
                            final int startColumn, final int endColumn)
        throws OutOfRangeException, NumberIsTooSmallException {
        checkSubMatrixIndex(startRow, endRow, startColumn, endColumn);
        visitor.start(getRowDimension(), getColumnDimension(),
                      startRow, endRow, startColumn, endColumn);
        for (int i = startRow; i <= endRow; ++i) {
            final T[] rowI = data[i];
            for (int j = startColumn; j <= endColumn; ++j) {
                rowI[j] = visitor.visit(i, j, rowI[j]);
            }
        }
        return visitor.end();
    }

    /** {@inheritDoc} */
    @Override
    public T walkInRowOrder(final FieldMatrixPreservingVisitor<T> visitor,
                            final int startRow, final int endRow,
                            final int startColumn, final int endColumn)
        throws OutOfRangeException, NumberIsTooSmallException {
        checkSubMatrixIndex(startRow, endRow, startColumn, endColumn);
        visitor.start(getRowDimension(), getColumnDimension(),
                      startRow, endRow, startColumn, endColumn);
        for (int i = startRow; i <= endRow; ++i) {
            final T[] rowI = data[i];
            for (int j = startColumn; j <= endColumn; ++j) {
                visitor.visit(i, j, rowI[j]);
            }
        }
        return visitor.end();
    }

    /** {@inheritDoc} */
    @Override
    public T walkInColumnOrder(final FieldMatrixChangingVisitor<T> 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 T[] rowI = data[i];
                rowI[j] = visitor.visit(i, j, rowI[j]);
            }
        }
        return visitor.end();
    }

    /** {@inheritDoc} */
    @Override
    public T walkInColumnOrder(final FieldMatrixPreservingVisitor<T> 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 T walkInColumnOrder(final FieldMatrixChangingVisitor<T> visitor,
                               final int startRow, final int endRow,
                               final int startColumn, final int endColumn)
        throws OutOfRangeException, NumberIsTooSmallException {
    checkSubMatrixIndex(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 T[] rowI = data[i];
                rowI[j] = visitor.visit(i, j, rowI[j]);
            }
        }
        return visitor.end();
    }

    /** {@inheritDoc} */
    @Override
    public T walkInColumnOrder(final FieldMatrixPreservingVisitor<T> visitor,
                               final int startRow, final int endRow,
                               final int startColumn, final int endColumn)
        throws OutOfRangeException, NumberIsTooSmallException {
        checkSubMatrixIndex(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 T[][] copyOut() {
        final int nRows = this.getRowDimension();
        final T[][] out = MathArrays.buildArray(getField(), nRows, 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 T[][] in)
        throws NullArgumentException, NoDataException,
        DimensionMismatchException {
        setSubMatrix(in, 0, 0);
    }
}

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