Package org.apache.commons.math3.complex

Examples of org.apache.commons.math3.complex.Quaternion

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        Assert.assertTrue(q1.equals(q5, 1.1 * inc));
    }

    @Test
    public final void testQuaternionEquals2() {
        final Quaternion q1 = new Quaternion(1, 4, 2, 3);
        final double gap = 1e-5;
        final Quaternion q2 = new Quaternion(1 + gap, 4 + gap, 2 + gap, 3 + gap);

        Assert.assertTrue(q1.equals(q2, 10 * gap));
        Assert.assertFalse(q1.equals(q2, gap));
        Assert.assertFalse(q1.equals(q2, gap / 10));
    }
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    @Test
    public final void testIsUnitQuaternion() {
        final Random r = new Random(48);
        final int numberOfTrials = 1000;
        for (int i = 0; i < numberOfTrials; i++) {
            final Quaternion q1 = new Quaternion(r.nextDouble(), r.nextDouble(), r.nextDouble(), r.nextDouble());
            final Quaternion q2 = q1.normalize();
            Assert.assertTrue(q2.isUnitQuaternion(COMPARISON_EPS));
        }

        final Quaternion q = new Quaternion(1, 1, 1, 1);
        Assert.assertFalse(q.isUnitQuaternion(COMPARISON_EPS));
    }
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        Assert.assertFalse(q.isUnitQuaternion(COMPARISON_EPS));
    }

    @Test
    public final void testIsPureQuaternion() {
        final Quaternion q1 = new Quaternion(0, 5, 4, 8);
        Assert.assertTrue(q1.isPureQuaternion(EPS));

        final Quaternion q2 = new Quaternion(0 - EPS, 5, 4, 8);
        Assert.assertTrue(q2.isPureQuaternion(EPS));

        final Quaternion q3 = new Quaternion(0 - 1.1 * EPS, 5, 4, 8);
        Assert.assertFalse(q3.isPureQuaternion(EPS));

        final Random r = new Random(48);
        final double[] v = {r.nextDouble(), r.nextDouble(), r.nextDouble()};
        final Quaternion q4 = new Quaternion(v);
        Assert.assertTrue(q4.isPureQuaternion(0));

        final Quaternion q5 = new Quaternion(0, v);
        Assert.assertTrue(q5.isPureQuaternion(0));
    }
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    @Test
    public final void testPolarForm() {
        final Random r = new Random(48);
        final int numberOfTrials = 1000;
        for (int i = 0; i < numberOfTrials; i++) {
            final Quaternion q = new Quaternion(2 * (r.nextDouble() - 0.5), 2 * (r.nextDouble() - 0.5),
                                                2 * (r.nextDouble() - 0.5), 2 * (r.nextDouble() - 0.5));
            final Quaternion qP = q.getPositivePolarForm();

            Assert.assertTrue(qP.isUnitQuaternion(COMPARISON_EPS));
            Assert.assertTrue(qP.getQ0() >= 0);

            final Rotation rot = new Rotation(q.getQ0(), q.getQ1(), q.getQ2(), q.getQ3(), true);
            final Rotation rotP = new Rotation(qP.getQ0(), qP.getQ1(), qP.getQ2(), qP.getQ3(), true);

            Assert.assertEquals(rot.getAngle(), rotP.getAngle(), COMPARISON_EPS);
            Assert.assertEquals(rot.getAxis().getX(), rot.getAxis().getX(), COMPARISON_EPS);
            Assert.assertEquals(rot.getAxis().getY(), rot.getAxis().getY(), COMPARISON_EPS);
            Assert.assertEquals(rot.getAxis().getZ(), rot.getAxis().getZ(), COMPARISON_EPS);
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        }
    }

    @Test
    public final void testGetInverse() {
        final Quaternion q = new Quaternion(1.5, 4, 2, -2.5);

        final Quaternion inverseQ = q.getInverse();
        Assert.assertEquals(1.5 / 28.5, inverseQ.getQ0(), 0);
        Assert.assertEquals(-4.0 / 28.5, inverseQ.getQ1(), 0);
        Assert.assertEquals(-2.0 / 28.5, inverseQ.getQ2(), 0);
        Assert.assertEquals(2.5 / 28.5, inverseQ.getQ3(), 0);

        final Quaternion product = Quaternion.multiply(inverseQ, q);
        Assert.assertEquals(1, product.getQ0(), EPS);
        Assert.assertEquals(0, product.getQ1(), EPS);
        Assert.assertEquals(0, product.getQ2(), EPS);
        Assert.assertEquals(0, product.getQ3(), EPS);

        final Quaternion qNul = new Quaternion(0, 0, 0, 0);
        try {
            final Quaternion inverseQNul = qNul.getInverse();
            Assert.fail("expecting ZeroException but got : " + inverseQNul);
        } catch (ZeroException ex) {
            // expected
        }
    }
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        }
    }

    @Test
    public final void testToString() {
        final Quaternion q = new Quaternion(1, 2, 3, 4);
        Assert.assertTrue(q.toString().equals("[1.0 2.0 3.0 4.0]"));
    }
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     * length.
     */
    protected double[] computeResiduals(double[] objectiveValue) {
        final double[] target = getTarget();
        if (objectiveValue.length != target.length) {
            throw new DimensionMismatchException(target.length,
                                                 objectiveValue.length);
        }

        final double[] residuals = new double[target.length];
        for (int i = 0; i < target.length; i++) {
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        /** {@inheritDoc} */
        public RealVector solve(final RealVector b) {
            final int m = lTData.length;
            if (b.getDimension() != m) {
                throw new DimensionMismatchException(b.getDimension(), m);
            }

            final double[] x = b.toArray();

            // Solve LY = b
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        /** {@inheritDoc} */
        public RealMatrix solve(RealMatrix b) {
            final int m = lTData.length;
            if (b.getRowDimension() != m) {
                throw new DimensionMismatchException(b.getRowDimension(), m);
            }

            final int nColB = b.getColumnDimension();
            final double[][] x = b.getData();

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     */
    public double correlation(final double[] xArray, final double[] yArray)
            throws DimensionMismatchException {

        if (xArray.length != yArray.length) {
            throw new DimensionMismatchException(xArray.length, yArray.length);
        }

        final int n = xArray.length;
        final long numPairs = sum(n - 1);

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Related Classes of org.apache.commons.math3.complex.Quaternion

  • org.apache.commons.math3.analysis.differentiation.DerivativeStructure
  • org.apache.commons.math3.analysis.differentiation.MultivariateDifferentiableVectorFunction
  • org.apache.commons.math3.analysis.function.HarmonicOscillator
  • org.apache.commons.math3.analysis.function.Sin
  • org.apache.commons.math3.analysis.function.Sinc
  • org.apache.commons.math3.analysis.MultivariateFunction
  • org.apache.commons.math3.analysis.QuinticFunction
  • org.apache.commons.math3.analysis.solvers.BrentSolver
  • org.apache.commons.math3.analysis.UnivariateFunction
  • org.apache.commons.math3.complex.Complex
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