Examples of org.apache.commons.math3.geometry.euclidean.threed.Rotation.applyTo()

Package org.apache.commons.math3.geometry.euclidean.threed

Class org.apache.commons.math3.geometry.euclidean.threed.Rotation

Examples of org.apache.commons.math3.geometry.euclidean.threed.Rotation.applyTo()

org.apache.commons.math3.geometry.euclidean.threed.Rotation.applyTo()
Apply the rotation to a vector. @param u vector to apply the rotation to @return a new vector which is the image of u by the rotation

     */
    private static S2Point[] createRegularPolygonVertices(final Vector3D center, final Vector3D meridian,
                                                          final double outsideRadius, final int n) {
        final S2Point[] array = new S2Point[n];
        final Rotation r0 = new Rotation(Vector3D.crossProduct(center, meridian), outsideRadius);
        array[0] = new S2Point(r0.applyTo(center));


        final Rotation r = new Rotation(center, MathUtils.TWO_PI / n);
        for (int i = 1; i < n; ++i) {
            array[i] = new S2Point(r.applyTo(array[i - 1].getVector()));
        }

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        final Rotation r0 = new Rotation(Vector3D.crossProduct(center, meridian), outsideRadius);
        array[0] = new S2Point(r0.applyTo(center));


        final Rotation r = new Rotation(center, MathUtils.TWO_PI / n);
        for (int i = 1; i < n; ++i) {
            array[i] = new S2Point(r.applyTo(array[i - 1].getVector()));
        }


        return array;
    }

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     */
    private static S2Point[] createRegularPolygonVertices(final Vector3D center, final Vector3D meridian,
                                                          final double outsideRadius, final int n) {
        final S2Point[] array = new S2Point[n];
        final Rotation r0 = new Rotation(Vector3D.crossProduct(center, meridian), outsideRadius);
        array[0] = new S2Point(r0.applyTo(center));


        final Rotation r = new Rotation(center, MathUtils.TWO_PI / n);
        for (int i = 1; i < n; ++i) {
            array[i] = new S2Point(r.applyTo(array[i - 1].getVector()));
        }

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        final Rotation r0 = new Rotation(Vector3D.crossProduct(center, meridian), outsideRadius);
        array[0] = new S2Point(r0.applyTo(center));


        final Rotation r = new Rotation(center, MathUtils.TWO_PI / n);
        for (int i = 1; i < n; ++i) {
            array[i] = new S2Point(r.applyTo(array[i - 1].getVector()));
        }


        return array;
    }

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        final Rotation rot = new Rotation(Vector3D.PLUS_K,
                                          orientationRing1.normalize());
        int count = 0;
        points = new Vector3D[numPointsRing1 + numPointsRing2];
        for (int i = 0; i < numPointsRing1; i++) {
            points[count++] = rot.applyTo(firstRing[i]);
        }
        for (int i = 0; i < numPointsRing2; i++) {
            points[count++] = rot.applyTo(secondRing[i]);
        }
    }

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        points = new Vector3D[numPointsRing1 + numPointsRing2];
        for (int i = 0; i < numPointsRing1; i++) {
            points[count++] = rot.applyTo(firstRing[i]);
        }
        for (int i = 0; i < numPointsRing2; i++) {
            points[count++] = rot.applyTo(secondRing[i]);
        }
    }


    /**
     * Gets all the points.

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                                      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);

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            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);


            SubLimitAngle  sub = new LimitAngle(new S1Point(MathUtils.TWO_PI * random.nextDouble()),

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            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);


            SubLimitAngle  sub = new LimitAngle(new S1Point(MathUtils.TWO_PI * random.nextDouble()),
                                                random.nextBoolean(), 1.0e-10).wholeHyperplane();

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            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);


            SubLimitAngle  sub = new LimitAngle(new S1Point(MathUtils.TWO_PI * random.nextDouble()),
                                                random.nextBoolean(), 1.0e-10).wholeHyperplane();
            Vector3D psub = c.getPointAt(((LimitAngle) sub.getHyperplane()).getLocation().getAlpha());

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