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

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

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        String source =
            "{-1" + getDecimalCharacter() +
            "2323; -1" + getDecimalCharacter() +
            "4343; -1" + getDecimalCharacter() +
            "6333}";
        Vector3D expected = new Vector3D(-1.2323, -1.4343, -1.6333);
        Vector3D actual = vector3DFormat.parse(source);
        Assert.assertEquals(expected, actual);
    }
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        String source =
            "{0" + getDecimalCharacter() +
            "0; -1" + getDecimalCharacter() +
            "4343; 1" + getDecimalCharacter() +
            "6333}";
        Vector3D expected = new Vector3D(0.0, -1.4343, 1.6333);
        Vector3D actual = vector3DFormat.parse(source);
        Assert.assertEquals(expected, actual);
    }
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        String source =
            "[1" + getDecimalCharacter() +
            "2323 : 1" + getDecimalCharacter() +
            "4343 : 1" + getDecimalCharacter() +
            "6333]";
        Vector3D expected = new Vector3D(1.2323, 1.4343, 1.6333);
        Vector3D actual = vector3DFormatSquare.parse(source);
        Assert.assertEquals(expected, actual);
    }
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    }

    @Test
    public void testParseNan() throws MathParseException {
        String source = "{(NaN); (NaN); (NaN)}";
        Vector3D actual = vector3DFormat.parse(source);
        Assert.assertEquals(Vector3D.NaN, actual);
    }
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    }

    @Test
    public void testParsePositiveInfinity() throws MathParseException {
        String source = "{(Infinity); (Infinity); (Infinity)}";
        Vector3D actual = vector3DFormat.parse(source);
        Assert.assertEquals(Vector3D.POSITIVE_INFINITY, actual);
    }
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    }

    @Test
    public void testParseNegativeInfinity() throws MathParseException {
        String source = "{(-Infinity); (-Infinity); (-Infinity)}";
        Vector3D actual = vector3DFormat.parse(source);
        Assert.assertEquals(Vector3D.NEGATIVE_INFINITY, actual);
    }
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        // comparison with the result given by the formula :
        // qResult = (scalarA * scalarB - vectorA . vectorB) + (scalarA * vectorB + scalarB * vectorA + vectorA ^
        // vectorB)

        final Vector3D vectorA = new Vector3D(qA.getVectorPart());
        final Vector3D vectorB = new Vector3D(qB.getVectorPart());
        final Vector3D vectorResult = new Vector3D(qResult.getVectorPart());

        final double scalarPartRef = qA.getScalarPart() * qB.getScalarPart() - Vector3D.dotProduct(vectorA, vectorB);

        Assert.assertEquals(scalarPartRef, qResult.getScalarPart(), EPS);

        final Vector3D vectorPartRef = ((vectorA.scalarMultiply(qB.getScalarPart())).add(vectorB.scalarMultiply(qA
                .getScalarPart()))).add(Vector3D.crossProduct(vectorA, vectorB));
        final double norm = (vectorResult.subtract(vectorPartRef)).getNorm();

        Assert.assertEquals(0, norm, EPS);

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        // qResult = (- vectorQ . vector) + (scalarQ * vector + vectorQ ^ vector)

        final double[] vectorQ = quaternion.getVectorPart();
        final double[] vectorResultQxV = qResultQxV.getVectorPart();

        final double scalarPartRefQxV = -Vector3D.dotProduct(new Vector3D(vectorQ), new Vector3D(vector));
        Assert.assertEquals(scalarPartRefQxV, qResultQxV.getScalarPart(), EPS);

        final Vector3D vectorPartRefQxV = (new Vector3D(vector).scalarMultiply(quaternion.getScalarPart())).add(Vector3D
                .crossProduct(new Vector3D(vectorQ), new Vector3D(vector)));
        final double normQxV = (new Vector3D(vectorResultQxV).subtract(vectorPartRefQxV)).getNorm();
        Assert.assertEquals(0, normQxV, EPS);

        // Case : Product between a vector and a quaternion : VxQ

        final Quaternion qResultVxQ = Quaternion.multiply(new Quaternion(vector), quaternion);

        Assert.assertEquals(-19, qResultVxQ.getQ0(), EPS);
        Assert.assertEquals(13, qResultVxQ.getQ1(), EPS);
        Assert.assertEquals(21, qResultVxQ.getQ2(), EPS);
        Assert.assertEquals(3, qResultVxQ.getQ3(), EPS);

        final double[] vectorResultVxQ = qResultVxQ.getVectorPart();

        // comparison with the result given by the formula :
        // qResult = (- vector . vectorQ) + (scalarQ * vector + vector ^ vectorQ)

        final double scalarPartRefVxQ = -Vector3D.dotProduct(new Vector3D(vectorQ), new Vector3D(vector));
        Assert.assertEquals(scalarPartRefVxQ, qResultVxQ.getScalarPart(), EPS);

        final Vector3D vectorPartRefVxQ = (new Vector3D(vector).scalarMultiply(quaternion.getScalarPart())).add(Vector3D
                .crossProduct(new Vector3D(vector), new Vector3D(vectorQ)));
        final double normVxQ = (new Vector3D(vectorResultVxQ).subtract(vectorPartRefVxQ)).getNorm();
        Assert.assertEquals(0, normVxQ, EPS);
    }
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public class PlaneTest {

    @Test
    public void testContains() throws MathArithmeticException {
        Plane p = new Plane(new Vector3D(0, 0, 1), new Vector3D(0, 0, 1));
        Assert.assertTrue(p.contains(new Vector3D(0, 0, 1)));
        Assert.assertTrue(p.contains(new Vector3D(17, -32, 1)));
        Assert.assertTrue(! p.contains(new Vector3D(17, -32, 1.001)));
    }
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        Assert.assertTrue(! p.contains(new Vector3D(17, -32, 1.001)));
    }

    @Test
    public void testOffset() throws MathArithmeticException {
        Vector3D p1 = new Vector3D(1, 1, 1);
        Plane p = new Plane(p1, new Vector3D(0.2, 0, 0));
        Assert.assertEquals(-5.0, p.getOffset(new Vector3D(-4, 0, 0)), 1.0e-10);
        Assert.assertEquals(+5.0, p.getOffset(new Vector3D(6, 10, -12)), 1.0e-10);
        Assert.assertEquals(0.3,
                            p.getOffset(new Vector3D(1.0, p1, 0.3, p.getNormal())),
                            1.0e-10);
        Assert.assertEquals(-0.3,
                            p.getOffset(new Vector3D(1.0, p1, -0.3, p.getNormal())),
                            1.0e-10);
    }
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Related Classes of org.apache.commons.math3.geometry.euclidean.threed.Vector3D

  • 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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