Examples of DfpField

org.apache.commons.math.dfp.DfpField
Field for Decimal floating point instances. @version $Revision: 995987 $ $Date: 2010-09-10 23:24:15 +0200 (ven. 10 sept. 2010) $ @since 2.2
org.apache.commons.math3.dfp.DfpField
Field for Decimal floating point instances. @version $Id: DfpField.java 1296529 2012-03-03 00:35:47Z sebb $ @since 2.2

Examples of org.apache.commons.math.dfp.DfpField

    private DfpField field;
    private RandomGenerator generator;


    @Before
    public void setUp() {
        field = new DfpField(40);
        generator = new MersenneTwister(6176597458463500194l);
    }

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Examples of org.apache.commons.math3.dfp.DfpField

    private DfpField field;
    private RandomGenerator generator;


    @Before
    public void setUp() {
        field = new DfpField(40);
        generator = new MersenneTwister(6176597458463500194l);
    }

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Examples of org.apache.commons.math3.dfp.DfpField

    }


    @Test
    public void testIntPow() {
        final int maxExp = 300;
        DfpField field = new DfpField(40);
        final double base = 1.23456789;
        Dfp baseDfp = field.newDfp(base);
        Dfp dfpPower = field.getOne();
        for (int i = 0; i < maxExp; i++) {
            Assert.assertEquals("exp=" + i, dfpPower.toDouble(), FastMath.pow(base, i),
                                0.6 * FastMath.ulp(dfpPower.toDouble()));
            dfpPower = dfpPower.multiply(baseDfp);
        }

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Examples of org.apache.commons.math3.dfp.DfpField

    private DfpField field;
    private RandomGenerator generator;


    @Before
    public void setUp() {
        field = new DfpField(40);
        generator = new MersenneTwister(6176597458463500194l);
    }

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Examples of org.apache.commons.math3.dfp.DfpField

    }


    @Test
    public void testIntPow() {
        final int maxExp = 300;
        DfpField field = new DfpField(40);
        final double base = 1.23456789;
        Dfp baseDfp = field.newDfp(base);
        Dfp dfpPower = field.getOne();
        for (int i = 0; i < maxExp; i++) {
            Assert.assertEquals("exp=" + i, dfpPower.toDouble(), FastMath.pow(base, i),
                                0.6 * FastMath.ulp(dfpPower.toDouble()));
            dfpPower = dfpPower.multiply(baseDfp);
        }

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Examples of org.apache.commons.math3.dfp.DfpField


    @Test
    public void testAngles()
            throws CardanEulerSingularityException {


        DfpField field = new DfpField(15);


        RotationOrder[] CardanOrders = {
            RotationOrder.XYZ, RotationOrder.XZY, RotationOrder.YXZ,
            RotationOrder.YZX, RotationOrder.ZXY, RotationOrder.ZYX
        };


        for (int i = 0; i < CardanOrders.length; ++i) {
            for (double alpha1 = 0.1; alpha1 < 6.2; alpha1 += 2.0) {
                for (double alpha2 = -1.55; alpha2 < 1.55; alpha2 += 0.8) {
                    for (double alpha3 = 0.1; alpha3 < 6.2; alpha3 += 2.0) {
                        FieldRotation<Dfp> r = new FieldRotation<Dfp>(CardanOrders[i],
                                                                      field.newDfp(alpha1),
                                                                      field.newDfp(alpha2),
                                                                      field.newDfp(alpha3));
                        Dfp[] angles = r.getAngles(CardanOrders[i]);
                        checkAngle(angles[0], alpha1);
                        checkAngle(angles[1], alpha2);
                        checkAngle(angles[2], alpha3);
                    }
                }
            }
        }


        RotationOrder[] EulerOrders = {
            RotationOrder.XYX, RotationOrder.XZX, RotationOrder.YXY,
            RotationOrder.YZY, RotationOrder.ZXZ, RotationOrder.ZYZ
        };


        for (int i = 0; i < EulerOrders.length; ++i) {
            for (double alpha1 = 0.1; alpha1 < 6.2; alpha1 += 2.0) {
                for (double alpha2 = 0.05; alpha2 < 3.1; alpha2 += 0.8) {
                    for (double alpha3 = 0.1; alpha3 < 6.2; alpha3 += 2.0) {
                        FieldRotation<Dfp> r = new FieldRotation<Dfp>(EulerOrders[i],
                                                                      field.newDfp(alpha1),
                                                                      field.newDfp(alpha2),
                                                                      field.newDfp(alpha3));
                        Dfp[] angles = r.getAngles(EulerOrders[i]);
                        checkAngle(angles[0], alpha1);
                        checkAngle(angles[1], alpha2);
                        checkAngle(angles[2], alpha3);
                    }

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Examples of org.apache.commons.math3.dfp.DfpField

    }


    @Test
    public void testSingularities() {


        DfpField field = new DfpField(20);
        RotationOrder[] CardanOrders = {
            RotationOrder.XYZ, RotationOrder.XZY, RotationOrder.YXZ,
            RotationOrder.YZX, RotationOrder.ZXY, RotationOrder.ZYX
        };


        double[] singularCardanAngle = { FastMath.PI / 2, -FastMath.PI / 2 };
        for (int i = 0; i < CardanOrders.length; ++i) {
            for (int j = 0; j < singularCardanAngle.length; ++j) {
                FieldRotation<Dfp> r = new FieldRotation<Dfp>(CardanOrders[i],
                                                              field.newDfp(0.1),
                                                              field.newDfp(singularCardanAngle[j]),
                                                              field.newDfp(0.3));
                try {
                    r.getAngles(CardanOrders[i]);
                    Assert.fail("an exception should have been caught");
                } catch (CardanEulerSingularityException cese) {
                    // expected behavior
                }
            }
        }


        RotationOrder[] EulerOrders = {
            RotationOrder.XYX, RotationOrder.XZX, RotationOrder.YXY,
            RotationOrder.YZY, RotationOrder.ZXZ, RotationOrder.ZYZ
        };


        double[] singularEulerAngle = { 0, FastMath.PI };
        for (int i = 0; i < EulerOrders.length; ++i) {
            for (int j = 0; j < singularEulerAngle.length; ++j) {
                FieldRotation<Dfp> r = new FieldRotation<Dfp>(EulerOrders[i],
                                                              field.newDfp(0.1),
                                                              field.newDfp(singularEulerAngle[j]),
                                                              field.newDfp(0.3));
                try {
                    r.getAngles(EulerOrders[i]);
                    Assert.fail("an exception should have been caught");
                } catch (CardanEulerSingularityException cese) {
                    // expected behavior

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Examples of org.apache.commons.math3.dfp.DfpField

    }


    @Test
    public void testDoubleRotations() throws MathIllegalArgumentException {


        DfpField field = new DfpField(20);
        Well1024a random = new Well1024a(0x180b41cfeeffaf67l);
        UnitSphereRandomVectorGenerator g = new UnitSphereRandomVectorGenerator(3, random);
        for (int i = 0; i < 10; ++i) {
            double[] unit1 = g.nextVector();
            Rotation r1 = new Rotation(new Vector3D(unit1[0], unit1[1], unit1[2]),
                                      random.nextDouble());
            FieldRotation<Dfp> r1Prime = new FieldRotation<Dfp>(field.newDfp(r1.getQ0()),
                                                                field.newDfp(r1.getQ1()),
                                                                field.newDfp(r1.getQ2()),
                                                                field.newDfp(r1.getQ3()),
                                                                false);
            double[] unit2 = g.nextVector();
            FieldRotation<Dfp> r2 = new FieldRotation<Dfp>(createVector(unit2[0], unit2[1], unit2[2]),
                                           createAngle(random.nextDouble()));

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Examples of org.apache.commons.math3.dfp.DfpField

        Assert.assertEquals(0, FieldRotation.distance(r, rPrime).getReal(), 1.0e-12);
    }


    private FieldRotation<Dfp> createRotation(double q0, double q1, double q2, double q3,
                                      boolean needsNormalization) {
        DfpField field = new DfpField(20);
        return new FieldRotation<Dfp>(field.newDfp(q0),
                                      field.newDfp(q1),
                                      field.newDfp(q2),
                                      field.newDfp(q3),
                                      needsNormalization);
    }

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Examples of org.apache.commons.math3.dfp.DfpField

                                      field.newDfp(q3),
                                      needsNormalization);
    }


    private FieldRotation<Dfp> createRotation(double[][] m, double threshold) {
        DfpField field = new DfpField(20);
        Dfp[][] mds = new Dfp[m.length][m[0].length];
        for (int i = 0; i < m.length; ++i) {
            for (int j = 0; j < m[i].length; ++j) {
                mds[i][j] = field.newDfp(m[i][j]);
            }
        }
        return new FieldRotation<Dfp>(mds, threshold);
    }

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