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

Examples of org.apache.commons.math3.geometry.euclidean.threed.Vector3D

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    }

    @Test
    public void testTranslate() throws MathArithmeticException {
        Vector3D p1 = new Vector3D(1.2, 3.4, -5.8);
        Vector3D p2 = new Vector3D(3.4, -5.8, 1.2);
        Vector3D p3 = new Vector3D(-2.0, 4.3, 0.7);
        Plane    p  = new Plane(p1, p2, p3, 1.0e-10);

        p = p.translate(new Vector3D(2.0, p.getU(), -1.5, p.getV()));
        Assert.assertTrue(p.contains(p1));
        Assert.assertTrue(p.contains(p2));
        Assert.assertTrue(p.contains(p3));

        p = p.translate(new Vector3D(-1.2, p.getNormal()));
        Assert.assertTrue(! p.contains(p1));
        Assert.assertTrue(! p.contains(p2));
        Assert.assertTrue(! p.contains(p3));

        p = p.translate(new Vector3D(+1.2, p.getNormal()));
        Assert.assertTrue(p.contains(p1));
        Assert.assertTrue(p.contains(p2));
        Assert.assertTrue(p.contains(p3));

    }
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    }

    @Test
    public void testIntersection() throws MathArithmeticException, MathIllegalArgumentException {
        Plane p = new Plane(new Vector3D(1, 2, 3), new Vector3D(-4, 1, -5), 1.0e-10);
        Line  l = new Line(new Vector3D(0.2, -3.5, 0.7), new Vector3D(1.2, -2.5, -0.3), 1.0e-10);
        Vector3D point = p.intersection(l);
        Assert.assertTrue(p.contains(point));
        Assert.assertTrue(l.contains(point));
        Assert.assertNull(p.intersection(new Line(new Vector3D(10, 10, 10),
                                                  new Vector3D(10, 10, 10).add(p.getNormal().orthogonal()),
                                                  1.0e-10)));
    }
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                                                  1.0e-10)));
    }

    @Test
    public void testIntersection2() throws MathArithmeticException {
        Vector3D p1  = new Vector3D (1.2, 3.4, -5.8);
        Vector3D p2  = new Vector3D (3.4, -5.8, 1.2);
        Plane    pA  = new Plane(p1, p2, new Vector3D (-2.0, 4.3, 0.7), 1.0e-10);
        Plane    pB  = new Plane(p1, new Vector3D (11.4, -3.8, 5.1), p2, 1.0e-10);
        Line     l   = pA.intersection(pB);
        Assert.assertTrue(l.contains(p1));
        Assert.assertTrue(l.contains(p2));
        Assert.assertNull(pA.intersection(pA));
    }
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        Assert.assertNull(pA.intersection(pA));
    }

    @Test
    public void testIntersection3() throws MathArithmeticException {
        Vector3D reference = new Vector3D (1.2, 3.4, -5.8);
        Plane p1 = new Plane(reference, new Vector3D(1, 3, 3), 1.0e-10);
        Plane p2 = new Plane(reference, new Vector3D(-2, 4, 0), 1.0e-10);
        Plane p3 = new Plane(reference, new Vector3D(7, 0, -4), 1.0e-10);
        Vector3D p = Plane.intersection(p1, p2, p3);
        Assert.assertEquals(reference.getX(), p.getX(), 1.0e-10);
        Assert.assertEquals(reference.getY(), p.getY(), 1.0e-10);
        Assert.assertEquals(reference.getZ(), p.getZ(), 1.0e-10);
    }
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        Assert.assertEquals(reference.getZ(), p.getZ(), 1.0e-10);
    }

    @Test
    public void testSimilar() throws MathArithmeticException {
        Vector3D p1  = new Vector3D (1.2, 3.4, -5.8);
        Vector3D p2  = new Vector3D (3.4, -5.8, 1.2);
        Vector3D p3  = new Vector3D (-2.0, 4.3, 0.7);
        Plane    pA  = new Plane(p1, p2, p3, 1.0e-10);
        Plane    pB  = new Plane(p1, new Vector3D (11.4, -3.8, 5.1), p2, 1.0e-10);
        Assert.assertTrue(! pA.isSimilarTo(pB));
        Assert.assertTrue(pA.isSimilarTo(pA));
        Assert.assertTrue(pA.isSimilarTo(new Plane(p1, p3, p2, 1.0e-10)));
        Vector3D shift = new Vector3D(0.3, pA.getNormal());
        Assert.assertTrue(! pA.isSimilarTo(new Plane(p1.add(shift),
                                                     p3.add(shift),
                                                     p2.add(shift),
                                                     1.0e-10)));
    }
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public class LineTest {

    @Test
    public void testContains() throws MathIllegalArgumentException, MathArithmeticException {
        Vector3D p1 = new Vector3D(0, 0, 1);
        Line l = new Line(p1, new Vector3D(0, 0, 2));
        Assert.assertTrue(l.contains(p1));
        Assert.assertTrue(l.contains(new Vector3D(1.0, p1, 0.3, l.getDirection())));
        Vector3D u = l.getDirection().orthogonal();
        Vector3D v = Vector3D.crossProduct(l.getDirection(), u);
        for (double alpha = 0; alpha < 2 * FastMath.PI; alpha += 0.3) {
            Assert.assertTrue(! l.contains(p1.add(new Vector3D(FastMath.cos(alpha), u,
                                                               FastMath.sin(alpha), v))));
        }
    }
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        }
    }

    @Test
    public void testSimilar() throws MathIllegalArgumentException, MathArithmeticException {
        Vector3D p1  = new Vector3D (1.2, 3.4, -5.8);
        Vector3D p2  = new Vector3D (3.4, -5.8, 1.2);
        Line     lA  = new Line(p1, p2);
        Line     lB  = new Line(p2, p1);
        Assert.assertTrue(lA.isSimilarTo(lB));
        Assert.assertTrue(! lA.isSimilarTo(new Line(p1, p1.add(lA.getDirection().orthogonal()))));
    }
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        Assert.assertTrue(! lA.isSimilarTo(new Line(p1, p1.add(lA.getDirection().orthogonal()))));
    }

    @Test
    public void testPointDistance() throws MathIllegalArgumentException {
        Line l = new Line(new Vector3D(0, 1, 1), new Vector3D(0, 2, 2));
        Assert.assertEquals(FastMath.sqrt(3.0 / 2.0), l.distance(new Vector3D(1, 0, 1)), 1.0e-10);
        Assert.assertEquals(0, l.distance(new Vector3D(0, -4, -4)), 1.0e-10);
    }
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        Assert.assertEquals(0, l.distance(new Vector3D(0, -4, -4)), 1.0e-10);
    }

    @Test
    public void testLineDistance() throws MathIllegalArgumentException {
        Line l = new Line(new Vector3D(0, 1, 1), new Vector3D(0, 2, 2));
        Assert.assertEquals(1.0,
                            l.distance(new Line(new Vector3D(1, 0, 1), new Vector3D(1, 0, 2))),
                            1.0e-10);
        Assert.assertEquals(0.5,
                            l.distance(new Line(new Vector3D(-0.5, 0, 0), new Vector3D(-0.5, -1, -1))),
                            1.0e-10);
        Assert.assertEquals(0.0,
                            l.distance(l),
                            1.0e-10);
        Assert.assertEquals(0.0,
                            l.distance(new Line(new Vector3D(0, -4, -4), new Vector3D(0, -5, -5))),
                            1.0e-10);
        Assert.assertEquals(0.0,
                            l.distance(new Line(new Vector3D(0, -4, -4), new Vector3D(0, -3, -4))),
                            1.0e-10);
        Assert.assertEquals(0.0,
                            l.distance(new Line(new Vector3D(0, -4, -4), new Vector3D(1, -4, -4))),
                            1.0e-10);
        Assert.assertEquals(FastMath.sqrt(8),
                            l.distance(new Line(new Vector3D(0, -4, 0), new Vector3D(1, -4, 0))),
                            1.0e-10);
    }
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                            1.0e-10);
    }

    @Test
    public void testClosest() throws MathIllegalArgumentException {
        Line l = new Line(new Vector3D(0, 1, 1), new Vector3D(0, 2, 2));
        Assert.assertEquals(0.0,
                            l.closestPoint(new Line(new Vector3D(1, 0, 1), new Vector3D(1, 0, 2))).distance(new Vector3D(0, 0, 0)),
                            1.0e-10);
        Assert.assertEquals(0.5,
                            l.closestPoint(new Line(new Vector3D(-0.5, 0, 0), new Vector3D(-0.5, -1, -1))).distance(new Vector3D(-0.5, 0, 0)),
                            1.0e-10);
        Assert.assertEquals(0.0,
                            l.closestPoint(l).distance(new Vector3D(0, 0, 0)),
                            1.0e-10);
        Assert.assertEquals(0.0,
                            l.closestPoint(new Line(new Vector3D(0, -4, -4), new Vector3D(0, -5, -5))).distance(new Vector3D(0, 0, 0)),
                            1.0e-10);
        Assert.assertEquals(0.0,
                            l.closestPoint(new Line(new Vector3D(0, -4, -4), new Vector3D(0, -3, -4))).distance(new Vector3D(0, -4, -4)),
                            1.0e-10);
        Assert.assertEquals(0.0,
                            l.closestPoint(new Line(new Vector3D(0, -4, -4), new Vector3D(1, -4, -4))).distance(new Vector3D(0, -4, -4)),
                            1.0e-10);
        Assert.assertEquals(0.0,
                            l.closestPoint(new Line(new Vector3D(0, -4, 0), new Vector3D(1, -4, 0))).distance(new Vector3D(0, -2, -2)),
                            1.0e-10);
    }
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Related Classes of org.apache.commons.math3.geometry.euclidean.threed.Vector3D

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  • 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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