Examples of Well1024a

org.apache.commons.math3.random.Well1024a
ro.umontreal.ca/~lecuyer/myftp/papers/wellrng.pdf">Improved Long-Period Generators Based on Linear Recurrences Modulo 2 ACM Transactions on Mathematical Software, 32, 1 (2006). The errata for the paper are in wellrng-errata.txt.
@see WELL Random number generator @since 2.2

Examples of org.apache.commons.math3.random.Well1024a

    }


    @Test
    public void testDoubleRotations() throws MathIllegalArgumentException {


        Well1024a random = new Well1024a(0x180b41cfeeffaf67l);
        UnitSphereRandomVectorGenerator g = new UnitSphereRandomVectorGenerator(3, random);
        for (int i = 0; i < 10; ++i) {
            double[] unit1 = g.nextVector();
            Rotation r1 = new Rotation(new Vector3D(unit1[0], unit1[1], unit1[2]),
                                      random.nextDouble());
            FieldRotation<DerivativeStructure> r1Prime = new FieldRotation<DerivativeStructure>(new DerivativeStructure(4, 1, 0, r1.getQ0()),
                                                new DerivativeStructure(4, 1, 1, r1.getQ1()),
                                                new DerivativeStructure(4, 1, 2, r1.getQ2()),
                                                new DerivativeStructure(4, 1, 3, r1.getQ3()),
                                                false);
            double[] unit2 = g.nextVector();
            FieldRotation<DerivativeStructure> r2 = new FieldRotation<DerivativeStructure>(createVector(unit2[0], unit2[1], unit2[2]),
                                           createAngle(random.nextDouble()));


            FieldRotation<DerivativeStructure> rA = FieldRotation.applyTo(r1, r2);
            FieldRotation<DerivativeStructure> rB = r1Prime.applyTo(r2);
            FieldRotation<DerivativeStructure> rC = FieldRotation.applyInverseTo(r1, r2);
            FieldRotation<DerivativeStructure> rD = r1Prime.applyInverseTo(r2);

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Examples of org.apache.commons.math3.random.Well1024a


    @Test
    public void testDotProduct() {
        // we compare accurate versus naive dot product implementations
        // on regular vectors (i.e. not extreme cases like in the previous test)
        Well1024a random = new Well1024a(553267312521321234l);
        for (int i = 0; i < 10000; ++i) {
            double ux = 10000 * random.nextDouble();
            double uy = 10000 * random.nextDouble();
            double uz = 10000 * random.nextDouble();
            double vx = 10000 * random.nextDouble();
            double vy = 10000 * random.nextDouble();
            double vz = 10000 * random.nextDouble();
            double sNaive = ux * vx + uy * vy + uz * vz;


            FieldVector3D<DerivativeStructure> uds = createVector(ux, uy, uz, 3);
            FieldVector3D<DerivativeStructure> vds = createVector(vx, vy, vz, 3);
            Vector3D v = new Vector3D(vx, vy, vz);

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Examples of org.apache.commons.math3.random.Well1024a


    @Test
    public void testCrossProduct() {
        // we compare accurate versus naive cross product implementations
        // on regular vectors (i.e. not extreme cases like in the previous test)
        Well1024a random = new Well1024a(885362227452043214l);
        for (int i = 0; i < 10000; ++i) {
            double ux = random.nextDouble();
            double uy = random.nextDouble();
            double uz = random.nextDouble();
            double vx = random.nextDouble();
            double vy = random.nextDouble();
            double vz = random.nextDouble();
            Vector3D cNaive = new Vector3D(uy * vz - uz * vy, uz * vx - ux * vz, ux * vy - uy * vx);


            FieldVector3D<DerivativeStructure> uds = createVector(ux, uy, uz, 3);
            FieldVector3D<DerivativeStructure> vds = createVector(vx, vy, vz, 3);
            Vector3D v = new Vector3D(vx, vy, vz);

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Examples of org.apache.commons.math3.random.Well1024a


    @Test
    public void testDotProduct() {
        // we compare accurate versus naive dot product implementations
        // on regular vectors (i.e. not extreme cases like in the previous test)
        Well1024a random = new Well1024a(553267312521321234l);
        for (int i = 0; i < 10000; ++i) {
            double ux = 10000 * random.nextDouble();
            double uy = 10000 * random.nextDouble();
            double uz = 10000 * random.nextDouble();
            double vx = 10000 * random.nextDouble();
            double vy = 10000 * random.nextDouble();
            double vz = 10000 * random.nextDouble();
            double sNaive = ux * vx + uy * vy + uz * vz;
            double sAccurate = new Vector3D(ux, uy, uz).dotProduct(new Vector3D(vx, vy, vz));
            Assert.assertEquals(sNaive, sAccurate, 2.5e-16 * sAccurate);
        }
    }

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Examples of org.apache.commons.math3.random.Well1024a


    @Test
    public void testLinearCombination2DSDS() {
        // we compare accurate versus naive dot product implementations
        // on regular vectors (i.e. not extreme cases like in the previous test)
        Well1024a random = new Well1024a(0xc6af886975069f11l);


        for (int i = 0; i < 10000; ++i) {
            final DerivativeStructure[] u = new DerivativeStructure[4];
            final DerivativeStructure[] v = new DerivativeStructure[4];
            for (int j = 0; j < u.length; ++j) {
                u[j] = new DerivativeStructure(u.length, 1, j, 1e17 * random.nextDouble());
                v[j] = new DerivativeStructure(u.length, 1, 1e17 * random.nextDouble());
            }


            DerivativeStructure lin = u[0].linearCombination(u[0], v[0], u[1], v[1]);
            double ref = u[0].getValue() * v[0].getValue() +
                         u[1].getValue() * v[1].getValue();

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Examples of org.apache.commons.math3.random.Well1024a


    @Test
    public void testLinearCombination2() {
        // we compare accurate versus naive dot product implementations
        // on regular vectors (i.e. not extreme cases like in the previous test)
        Well1024a random = new Well1024a(553267312521321234l);


        for (int i = 0; i < 10000; ++i) {
            final double ux = 1e17 * random.nextDouble();
            final double uy = 1e17 * random.nextDouble();
            final double uz = 1e17 * random.nextDouble();
            final double vx = 1e17 * random.nextDouble();
            final double vy = 1e17 * random.nextDouble();
            final double vz = 1e17 * random.nextDouble();
            final double sInline = MathArrays.linearCombination(ux, vx,
                                                                uy, vy,
                                                                uz, vz);
            final double sArray = MathArrays.linearCombination(new double[] {ux, uy, uz},
                                                               new double[] {vx, vy, vz});

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Examples of org.apache.commons.math3.random.Well1024a

        }
    }


    @Test
    public void testLinearCombinationFaFa() {
        RandomGenerator r = new Well1024a(0xfafal);
        for (int i = 0; i < 50; ++i) {
            double[] aD = generateDouble(r, 10);
            double[] bD = generateDouble(r, 10);
            T[] aF      = toFieldArray(aD);
            T[] bF      = toFieldArray(bD);

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Examples of org.apache.commons.math3.random.Well1024a

        }
    }


    @Test
    public void testLinearCombinationDaFa() {
        RandomGenerator r = new Well1024a(0xdafal);
        for (int i = 0; i < 50; ++i) {
            double[] aD = generateDouble(r, 10);
            double[] bD = generateDouble(r, 10);
            T[] bF      = toFieldArray(bD);
            checkRelative(MathArrays.linearCombination(aD, bD),

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Examples of org.apache.commons.math3.random.Well1024a

        }
    }


    @Test
    public void testLinearCombinationFF2() {
        RandomGenerator r = new Well1024a(0xff2l);
        for (int i = 0; i < 50; ++i) {
            double[] aD = generateDouble(r, 2);
            double[] bD = generateDouble(r, 2);
            T[] aF      = toFieldArray(aD);
            T[] bF      = toFieldArray(bD);

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Examples of org.apache.commons.math3.random.Well1024a

        }
    }


    @Test
    public void testLinearCombinationDF2() {
        RandomGenerator r = new Well1024a(0xdf2l);
        for (int i = 0; i < 50; ++i) {
            double[] aD = generateDouble(r, 2);
            double[] bD = generateDouble(r, 2);
            T[] bF      = toFieldArray(bD);
            checkRelative(MathArrays.linearCombination(aD[0], bD[0], aD[1], bD[1]),

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