Package org.apache.commons.math3.random

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

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    /**
     * {@inheritDoc}
     */
    public MultivariateFunction interpolate(final double[][] xval,
                                                final double[] yval) {
        final UnitSphereRandomVectorGenerator rand
            = new UnitSphereRandomVectorGenerator(xval[0].length);
        return new MicrosphereInterpolatingFunction(xval, yval,
                                                    brightnessExponent,
                                                    microsphereElements,
                                                    rand);
    }
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        final Vector3D[] firstRing = new Vector3D[numPointsRing1];
        // Second ring (centered around the first ring).
        final Vector3D[] secondRing = new Vector3D[numPointsRing2];

        // Create two rings lying in xy-plane.
        final UnitSphereRandomVectorGenerator unit
            = new UnitSphereRandomVectorGenerator(2);

        final RealDistribution radius1
            = new UniformRealDistribution(radiusRing1 - halfWidthRing1,
                                          radiusRing1 + halfWidthRing1);
        final RealDistribution widthRing1
            = new UniformRealDistribution(-halfWidthRing1, halfWidthRing1);

        for (int i = 0; i < numPointsRing1; i++) {
            final double[] v = unit.nextVector();
            final double r = radius1.sample();
            // First ring is in the xy-plane, centered at (0, 0, 0).
            firstRing[i] = new Vector3D(v[0] * r,
                                        v[1] * r,
                                        widthRing1.sample());
        }

        final RealDistribution radius2
            = new UniformRealDistribution(radiusRing2 - halfWidthRing2,
                                          radiusRing2 + halfWidthRing2);
        final RealDistribution widthRing2
            = new UniformRealDistribution(-halfWidthRing2, halfWidthRing2);

        for (int i = 0; i < numPointsRing2; i++) {
            final double[] v = unit.nextVector();
            final double r = radius2.sample();
            // Second ring is in the xz-plane, centered at (radiusRing1, 0, 0).
            secondRing[i] = new Vector3D(radiusRing1 + v[0] * r,
                                         widthRing2.sample(),
                                         v[1] * r);
 
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    }

    @Test
    public void testLargeSamples() throws IOException {
        RandomGenerator random = new Well1024a(0x35ddecfc78131e1dl);
        final UnitSphereRandomVectorGenerator sr = new UnitSphereRandomVectorGenerator(3, random);
        for (int k = 0; k < 50; ++k) {

            // define the reference sphere we want to compute
            double d = 25 * random.nextDouble();
            double refRadius = 10 * random.nextDouble();
            Vector3D refCenter = new Vector3D(d, new Vector3D(sr.nextVector()));
            // set up a large sample inside the reference sphere
            int nbPoints = random.nextInt(1000);
            List<Vector3D> points = new ArrayList<Vector3D>();
            for (int i = 0; i < nbPoints; ++i) {
                double r = refRadius * random.nextDouble();
                points.add(new Vector3D(1.0, refCenter, r, new Vector3D(sr.nextVector())));
            }

            // test we find a sphere at most as large as the one used for random drawings
            checkSphere(points, refRadius);

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    }

    @Test
    public void testRandom() {
        final RandomGenerator random = new Well1024a(0x12faa818373ffe90l);
        final UnitSphereRandomVectorGenerator sr = new UnitSphereRandomVectorGenerator(2, random);
        for (int i = 0; i < 500; ++i) {
            double d = 25 * random.nextDouble();
            double refRadius = 10 * random.nextDouble();
            Vector2D refCenter = new Vector2D(d, new Vector2D(sr.nextVector()));
            List<Vector2D> support = new ArrayList<Vector2D>();
            for (int j = 0; j < 3; ++j) {
                support.add(new Vector2D(1.0, refCenter, refRadius, new Vector2D(sr.nextVector())));
            }
            EnclosingBall<Euclidean2D, Vector2D> disk = new DiskGenerator().ballOnSupport(support);
            Assert.assertEquals(0.0, refCenter.distance(disk.getCenter()), 3e-9 * refRadius);
            Assert.assertEquals(refRadius, disk.getRadius(), 7e-10 * refRadius);
        }
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    }

    @Test
    public void testInsideArc() {
        RandomGenerator random = new Well1024a(0xbfd34e92231bbcfel);
        UnitSphereRandomVectorGenerator sphRandom = new UnitSphereRandomVectorGenerator(3, random);
        for (int i = 0; i < 100; ++i) {
            Circle c1 = new Circle(new Vector3D(sphRandom.nextVector()), 1.0e-10);
            Circle c2 = new Circle(new Vector3D(sphRandom.nextVector()), 1.0e-10);
            checkArcIsInside(c1, c2);
            checkArcIsInside(c2, c1);
        }
    }
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    }

    @Test
    public void testTransform() {
        RandomGenerator random = new Well1024a(0x16992fc4294bf2f1l);
        UnitSphereRandomVectorGenerator sphRandom = new UnitSphereRandomVectorGenerator(3, random);
        for (int i = 0; i < 100; ++i) {

            Rotation r = new Rotation(new Vector3D(sphRandom.nextVector()),
                                      FastMath.PI * random.nextDouble());
            Transform<Sphere2D, Sphere1D> t = Circle.getTransform(r);

            S2Point  p = new S2Point(new Vector3D(sphRandom.nextVector()));
            S2Point tp = (S2Point) t.apply(p);
            Assert.assertEquals(0.0, r.applyTo(p.getVector()).distance(tp.getVector()), 1.0e-10);

            Circle  c = new Circle(new Vector3D(sphRandom.nextVector()), 1.0e-10);
            Circle tc = (Circle) t.apply(c);
            Assert.assertEquals(0.0, r.applyTo(c.getPole()).distance(tc.getPole()),   1.0e-10);
            Assert.assertEquals(0.0, r.applyTo(c.getXAxis()).distance(tc.getXAxis()), 1.0e-10);
            Assert.assertEquals(0.0, r.applyTo(c.getYAxis()).distance(tc.getYAxis()), 1.0e-10);
            Assert.assertEquals(c.getTolerance(), ((Circle) t.apply(c)).getTolerance(), 1.0e-10);
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public class SphericalPolygonsSetTest {

    @Test
    public void testFullSphere() {
        SphericalPolygonsSet full = new SphericalPolygonsSet(1.0e-10);
        UnitSphereRandomVectorGenerator random =
                new UnitSphereRandomVectorGenerator(3, new Well1024a(0x852fd2a0ed8d2f6dl));
        for (int i = 0; i < 1000; ++i) {
            Vector3D v = new Vector3D(random.nextVector());
            Assert.assertEquals(Location.INSIDE, full.checkPoint(new S2Point(v)));
        }
        Assert.assertEquals(4 * FastMath.PI, new SphericalPolygonsSet(0.01, new S2Point[0]).getSize(), 1.0e-10);
        Assert.assertEquals(0, new SphericalPolygonsSet(0.01, new S2Point[0]).getBoundarySize(), 1.0e-10);
        Assert.assertEquals(0, full.getBoundaryLoops().size());
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    @Test
    public void testEmpty() {
        SphericalPolygonsSet empty =
            (SphericalPolygonsSet) new RegionFactory<Sphere2D>().getComplement(new SphericalPolygonsSet(1.0e-10));
        UnitSphereRandomVectorGenerator random =
                new UnitSphereRandomVectorGenerator(3, new Well1024a(0x76d9205d6167b6ddl));
        for (int i = 0; i < 1000; ++i) {
            Vector3D v = new Vector3D(random.nextVector());
            Assert.assertEquals(Location.OUTSIDE, empty.checkPoint(new S2Point(v)));
        }
        Assert.assertEquals(0, empty.getSize(), 1.0e-10);
        Assert.assertEquals(0, empty.getBoundarySize(), 1.0e-10);
        Assert.assertEquals(0, empty.getBoundaryLoops().size());
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    @Test
    public void testSouthHemisphere() {
        double tol = 0.01;
        double sinTol = FastMath.sin(tol);
        SphericalPolygonsSet south = new SphericalPolygonsSet(Vector3D.MINUS_K, tol);
        UnitSphereRandomVectorGenerator random =
                new UnitSphereRandomVectorGenerator(3, new Well1024a(0x6b9d4a6ad90d7b0bl));
        for (int i = 0; i < 1000; ++i) {
            Vector3D v = new Vector3D(random.nextVector());
            if (v.getZ() < -sinTol) {
                Assert.assertEquals(Location.INSIDE, south.checkPoint(new S2Point(v)));
            } else if (v.getZ() > sinTol) {
                Assert.assertEquals(Location.OUTSIDE, south.checkPoint(new S2Point(v)));
            } else {
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        SphericalPolygonsSet plusX = new SphericalPolygonsSet(Vector3D.PLUS_I, tol);
        SphericalPolygonsSet plusY = new SphericalPolygonsSet(Vector3D.PLUS_J, tol);
        SphericalPolygonsSet plusZ = new SphericalPolygonsSet(Vector3D.PLUS_K, tol);
        SphericalPolygonsSet octant =
                (SphericalPolygonsSet) factory.intersection(factory.intersection(plusX, plusY), plusZ);
        UnitSphereRandomVectorGenerator random =
                new UnitSphereRandomVectorGenerator(3, new Well1024a(0x9c9802fde3cbcf25l));
        for (int i = 0; i < 1000; ++i) {
            Vector3D v = new Vector3D(random.nextVector());
            if ((v.getX() > sinTol) && (v.getY() > sinTol) && (v.getZ() > sinTol)) {
                Assert.assertEquals(Location.INSIDE, octant.checkPoint(new S2Point(v)));
            } else if ((v.getX() < -sinTol) || (v.getY() < -sinTol) || (v.getZ() < -sinTol)) {
                Assert.assertEquals(Location.OUTSIDE, octant.checkPoint(new S2Point(v)));
            } else {
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Related Classes of org.apache.commons.math3.random.UnitSphereRandomVectorGenerator

  • 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.interpolation.MicrosphereInterpolator
  • 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
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