matrixtestabstract.java

另一个功能更强大的矩阵运算软件开源代码

/*
 * Copyright (C) 2003-2006 Bjørn-Ove Heimsund
 * 
 * This file is part of MTJ.
 * 
 * This library is free software; you can redistribute it and/or modify it
 * under the terms of the GNU Lesser General Public License as published by the
 * Free Software Foundation; either version 2.1 of the License, or (at your
 * option) any later version.
 * 
 * This library is distributed in the hope that it will be useful, but WITHOUT
 * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
 * FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License
 * for more details.
 * 
 * You should have received a copy of the GNU Lesser General Public License
 * along with this library; if not, write to the Free Software Foundation,
 * Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
 */

package no.uib.cipr.matrix;

import no.uib.cipr.matrix.Matrices;
import no.uib.cipr.matrix.Matrix;
import no.uib.cipr.matrix.MatrixEntry;
import no.uib.cipr.matrix.MatrixNotSPDException;
import no.uib.cipr.matrix.MatrixSingularException;
import no.uib.cipr.matrix.Vector;
import junit.framework.TestCase;

/**
 * Tests a matrix
 */
public abstract class MatrixTestAbstract extends TestCase {

    /**
     * Matrix to test
     */
    protected Matrix A;

    /**
     * Jagged array version of A
     */
    protected double[][] Ad;

    /**
     * Matrix of the same size as A, dense and non-dense
     */
    protected Matrix Bdense, B;

    /**
     * Contents of B
     */
    protected double[][] Bd;

    /**
     * Non-dense vectors with size equal the number of rows in A
     */
    protected Vector xR, yR;

    /**
     * Non-dense vectors with size equal the number of columns in A
     */
    protected Vector xC, yC;

    /**
     * Dense vectors with size equal the number of rows in A
     */
    protected Vector xDenseR, yDenseR;

    /**
     * Dense vectors with size equal the number of columns in A
     */
    protected Vector xDenseC, yDenseC;

    /**
     * Contents of the vectors
     */
    protected double[] xdR, ydR, xdC, ydC;

    /**
     * Tolerance for floating-point comparisons
     */
    protected double tol = 1e-5;

    /**
     * Maximum matrix size, to avoid too slow tests
     */
    protected int max = 100;

    /**
     * Constructor for MatrixTestAbstract
     */
    public MatrixTestAbstract(String arg0) {
        super(arg0);
    }

    @Override
    protected void setUp() throws Exception {
        createPrimary();
        createAuxillerary();
    }

    protected abstract void createPrimary() throws Exception;

    @Override
    protected void tearDown() throws Exception {
        A = B = Bdense = null;
        Ad = Bd = null;
        xC = xDenseC = xDenseR = xR = yC = yDenseC = yDenseR = yR = null;
        xdC = xdR = ydC = ydR = null;
    }

    /**
     * Called after setUp() to create additional datastructures
     */
    protected void createAuxillerary() {
        Bdense = Matrices.random(A.numRows(), A.numColumns());
        B = Matrices.synchronizedMatrix(Bdense.copy());
        Bd = Matrices.getArray(B);

        xDenseC = Matrices.random(A.numColumns());
        yDenseC = Matrices.random(A.numColumns());

        xDenseR = Matrices.random(A.numRows());
        yDenseR = Matrices.random(A.numRows());

        xC = Matrices.synchronizedVector(xDenseC);
        yC = Matrices.synchronizedVector(yDenseC);

        xR = Matrices.synchronizedVector(xDenseR);
        yR = Matrices.synchronizedVector(yDenseR);

        xdC = Matrices.getArray(xC);
        ydC = Matrices.getArray(yC);

        xdR = Matrices.getArray(xR);
        ydR = Matrices.getArray(yR);
    }

    public void testMatrixRank2Dense() {
        if (A.isSquare()) {
            int n = Utilities.getInt(1, max);
            Matrix B = Matrices.random(A.numRows(), n), C = Matrices.random(A
                    .numRows(), n);
            double[][] Bd = Matrices.getArray(B), Cd = Matrices.getArray(C);
            double alpha = Math.random();

            A = A.rank2(alpha, B, C);
            rank2(Ad, alpha, Bd, Cd);

            assertEquals(Ad, A);
            assertEquals(Bd, B);
            assertEquals(Cd, C);
        }
    }

    public void testMatrixRank2() {
        if (A.isSquare()) {
            int n = Utilities.getInt(1, max);
            Matrix B = Matrices.synchronizedMatrix(Matrices.random(A.numRows(),
                    n)), C = Matrices.synchronizedMatrix(Matrices.random(A
                    .numRows(), n));
            double[][] Bd = Matrices.getArray(B), Cd = Matrices.getArray(C);
            double alpha = Math.random();

            A = A.rank2(alpha, B, C);
            rank2(Ad, alpha, Bd, Cd);

            assertEquals(Ad, A);
            assertEquals(Bd, B);
            assertEquals(Cd, C);
        }
    }

    public void testMatrixTransRank2Dense() {
        if (A.isSquare()) {
            int n = Utilities.getInt(1, max);
            Matrix B = Matrices.random(n, A.numColumns()), C = Matrices.random(
                    n, A.numColumns());
            double[][] Bd = Matrices.getArray(B), Cd = Matrices.getArray(C);
            double alpha = Math.random();

            A = A.transRank2(alpha, B, C);
            transRank2(Ad, alpha, Bd, Cd);

            assertEquals(Ad, A);
            assertEquals(Bd, B);
            assertEquals(Cd, C);
        }
    }

    public void testMatrixTransRank2() {
        if (A.isSquare()) {
            int n = Utilities.getInt(1, max);
            Matrix B = Matrices.synchronizedMatrix(Matrices.random(n, A
                    .numColumns())), C = Matrices.synchronizedMatrix(Matrices
                    .random(n, A.numColumns()));
            double[][] Bd = Matrices.getArray(B), Cd = Matrices.getArray(C);
            double alpha = Math.random();

            A = A.transRank2(alpha, B, C);
            transRank2(Ad, alpha, Bd, Cd);

            assertEquals(Ad, A);
            assertEquals(Bd, B);
            assertEquals(Cd, C);
        }
    }

    public void testMatrixRank1Dense() {
        if (A.isSquare()) {
            Matrix C = Matrices.random(A.numRows(), A.numColumns());
            double[][] Cd = Matrices.getArray(C);
            double alpha = Math.random();

            A = A.rank1(alpha, C);
            rank1(Ad, alpha, Cd);

            assertEquals(Ad, A);
            assertEquals(Cd, C);
        }
    }

    public void testMatrixRank1() {
        if (A.isSquare()) {
            Matrix C = Matrices.synchronizedMatrix(Matrices.random(A.numRows(),
                    A.numColumns()));
            double[][] Cd = Matrices.getArray(C);
            double alpha = Math.random();

            A = A.rank1(alpha, C);
            rank1(Ad, alpha, Cd);

            assertEquals(Ad, A);
            assertEquals(Cd, C);
        }
    }

    public void testMatrixTransRank1Dense() {
        if (A.isSquare()) {
            Matrix C = Matrices.random(A.numRows(), A.numColumns());
            double[][] Cd = Matrices.getArray(C);
            double alpha = Math.random();

            A = A.transRank1(alpha, C);
            transRank1(Ad, alpha, Cd);

            assertEquals(Ad, A);
            assertEquals(Cd, C);
        }
    }

    public void testMatrixTransRank1() {
        if (A.isSquare()) {
            Matrix C = Matrices.synchronizedMatrix(Matrices.random(A.numRows(),
                    A.numColumns()));
            double[][] Cd = Matrices.getArray(C);
            double alpha = Math.random();

            A = A.transRank1(alpha, C);
            transRank1(Ad, alpha, Cd);

            assertEquals(Ad, A);
            assertEquals(Cd, C);
        }
    }

    public void testMatrixMultDense() {
        int m = A.numRows(), k = A.numColumns(), n = Utilities.getInt(1, max);
        Matrix B = Matrices.random(k, n), C = Matrices.random(m, n);
        double[][] Bd = Matrices.getArray(B), Cd = Matrices.getArray(C);
        double alpha = Math.random();

        C = A.mult(alpha, B, C);
        Cd = mult(Ad, alpha, Bd, Cd);

        assertEquals(Ad, A);
        assertEquals(Bd, B);
        assertEquals(Cd, C);
    }

    public void testMatrixMult() {
        int m = A.numRows(), k = A.numColumns(), n = Utilities.getInt(1, max);
        Matrix B = Matrices.synchronizedMatrix(Matrices.random(k, n)), C = Matrices
                .synchronizedMatrix(Matrices.random(m, n));
        double[][] Bd = Matrices.getArray(B), Cd = Matrices.getArray(C);
        double alpha = Math.random();

        C = A.mult(alpha, B, C);
        Cd = mult(Ad, alpha, Bd, Cd);

        assertEquals(Ad, A);
        assertEquals(Bd, B);
        assertEquals(Cd, C);
    }

    public void testMatrixTransAmultDense() {
        int m = A.numColumns(), k = A.numRows(), n = Utilities.getInt(1, max);
        Matrix B = Matrices.random(k, n), C = Matrices.random(m, n);
        double[][] Bd = Matrices.getArray(B), Cd = Matrices.getArray(C);
        double alpha = Math.random();

        C = A.transAmult(alpha, B, C);
        Cd = transAmult(Ad, alpha, Bd, Cd);

        assertEquals(Ad, A);
        assertEquals(Bd, B);
        assertEquals(Cd, C);
    }

    public void testMatrixTransAmult() {
        int m = A.numColumns(), k = A.numRows(), n = Utilities.getInt(1, max);
        Matrix B = Matrices.synchronizedMatrix(Matrices.random(k, n)), C = Matrices
                .synchronizedMatrix(Matrices.random(m, n));
        double[][] Bd = Matrices.getArray(B), Cd = Matrices.getArray(C);
        double alpha = Math.random();

        C = A.transAmult(alpha, B, C);
        Cd = transAmult(Ad, alpha, Bd, Cd);

        assertEquals(Ad, A);
        assertEquals(Bd, B);
        assertEquals(Cd, C);
    }

    public void testMatrixTransABmultDense() {
        int m = A.numColumns(), k = A.numRows(), n = Utilities.getInt(1, max);
        Matrix B = Matrices.random(n, k), C = Matrices.random(m, n);
        double[][] Bd = Matrices.getArray(B), Cd = Matrices.getArray(C);
        double alpha = Math.random();

        C = A.transABmult(alpha, B, C);
        Cd = transABmult(Ad, alpha, Bd, Cd);

        assertEquals(Ad, A);
        assertEquals(Bd, B);
        assertEquals(Cd, C);
    }

    public void testMatrixTransABmult() {
        int m = A.numColumns(), k = A.numRows(), n = Utilities.getInt(1, max);
        Matrix B = Matrices.synchronizedMatrix(Matrices.random(n, k)), C = Matrices
                .synchronizedMatrix(Matrices.random(m, n));
        double[][] Bd = Matrices.getArray(B), Cd = Matrices.getArray(C);
        double alpha = Math.random();

        C = A.transABmult(alpha, B, C);
        Cd = transABmult(Ad, alpha, Bd, Cd);

        assertEquals(Ad, A);
        assertEquals(Bd, B);
        assertEquals(Cd, C);
    }

    public void testMatrixTransBmultDense() {
        int m = A.numRows(), k = A.numColumns(), n = Utilities.getInt(1, max);
        Matrix B = Matrices.random(n, k), C = Matrices.random(m, n);
        double[][] Bd = Matrices.getArray(B), Cd = Matrices.getArray(C);
        double alpha = Math.random();

        C = A.transBmult(alpha, B, C);
        Cd = transBmult(Ad, alpha, Bd, Cd);

        assertEquals(Ad, A);
        assertEquals(Bd, B);
        assertEquals(Cd, C);
    }

    public void testMatrixTransBmult() {
        int m = A.numRows(), k = A.numColumns(), n = Utilities.getInt(1, max);
        Matrix B = Matrices.synchronizedMatrix(Matrices.random(n, k)), C = Matrices
                .synchronizedMatrix(Matrices.random(m, n));
        double[][] Bd = Matrices.getArray(B), Cd = Matrices.getArray(C);
        double alpha = Math.random();

        C = A.transBmult(alpha, B, C);
        Cd = transBmult(Ad, alpha, Bd, Cd);

        assertEquals(Ad, A);
        assertEquals(Bd, B);
        assertEquals(Cd, C);
    }

    public void testMatrixMultAddDense() {
        int m = A.numRows(), k = A.numColumns(), n = Utilities.getInt(1, max);
        Matrix B = Matrices.random(k, n), C = Matrices.random(m, n);
        double[][] Bd = Matrices.getArray(B), Cd = Matrices.getArray(C);
        double alpha = Math.random();

        C = A.multAdd(alpha, B, C);
        Cd = multAdd(Ad, alpha, Bd, Cd);

        assertEquals(Ad, A);
        assertEquals(Bd, B);
        assertEquals(Cd, C);
    }

    public void testMatrixMultAdd() {
        int m = A.numRows(), k = A.numColumns(), n = Utilities.getInt(1, max);
        Matrix B = Matrices.synchronizedMatrix(Matrices.random(k, n)), C = Matrices
                .synchronizedMatrix(Matrices.random(m, n));