Examples of Vector1D

org.apache.commons.math3.geometry.euclidean.oned.Vector1D
This class represents a 1D vector.
Instances of this class are guaranteed to be immutable.
@since 3.0

Examples of org.apache.commons.math3.geometry.euclidean.oned.Vector1D

                    if (loop.size() < 2) {
                        // single infinite line
                        final Line line = loop.get(0).getLine();
                        vertices[i++] = new Vector2D[] {
                            null,
                            line.toSpace(new Vector1D(-Float.MAX_VALUE)),
                            line.toSpace(new Vector1D(+Float.MAX_VALUE))
                        };
                    } else if (loop.get(0).getStart() == null) {
                        // open loop with at least one real point
                        final Vector2D[] array = new Vector2D[loop.size() + 2];
                        int j = 0;
                        for (Segment segment : loop) {


                            if (j == 0) {
                                // null point and first dummy point
                                double x = segment.getLine().toSubSpace(segment.getEnd()).getX();
                                x -= FastMath.max(1.0, FastMath.abs(x / 2));
                                array[j++] = null;
                                array[j++] = segment.getLine().toSpace(new Vector1D(x));
                            }


                            if (j < (array.length - 1)) {
                                // current point
                                array[j++] = segment.getEnd();
                            }


                            if (j == (array.length - 1)) {
                                // last dummy point
                                double x = segment.getLine().toSubSpace(segment.getStart()).getX();
                                x += FastMath.max(1.0, FastMath.abs(x / 2));
                                array[j++] = segment.getLine().toSpace(new Vector1D(x));
                            }


                        }
                        vertices[i++] = array;
                    } else {

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Examples of org.apache.commons.math3.geometry.euclidean.oned.Vector1D

                (AbstractSubHyperplane<Euclidean2D, Euclidean1D>) sub;
            final Line line      = (Line) sub.getHyperplane();
            final List<Interval> intervals = ((IntervalsSet) absSub.getRemainingRegion()).asList();
            for (final Interval i : intervals) {
                final Vector2D start = Double.isInfinite(i.getInf()) ?
                                      null : (Vector2D) line.toSpace(new Vector1D(i.getInf()));
                final Vector2D end   = Double.isInfinite(i.getSup()) ?
                                      null : (Vector2D) line.toSpace(new Vector1D(i.getSup()));
                if (reversed) {
                    sorted.insert(new ComparableSegment(end, start, line.getReverse()));
                } else {
                    sorted.insert(new ComparableSegment(start, end, line));
                }

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Examples of org.apache.commons.math3.geometry.euclidean.oned.Vector1D

    @Test
    public void testInterval() {
        IntervalsSet set = new IntervalsSet(2.3, 5.7);
        Assert.assertEquals(3.4, set.getSize(), 1.0e-10);
        Assert.assertEquals(4.0, ((Vector1D) set.getBarycenter()).getX(), 1.0e-10);
        Assert.assertEquals(Region.Location.BOUNDARY, set.checkPoint(new Vector1D(2.3)));
        Assert.assertEquals(Region.Location.BOUNDARY, set.checkPoint(new Vector1D(5.7)));
        Assert.assertEquals(Region.Location.OUTSIDE,  set.checkPoint(new Vector1D(1.2)));
        Assert.assertEquals(Region.Location.OUTSIDE,  set.checkPoint(new Vector1D(8.7)));
        Assert.assertEquals(Region.Location.INSIDE,   set.checkPoint(new Vector1D(3.0)));
        Assert.assertEquals(2.3, set.getInf(), 1.0e-10);
        Assert.assertEquals(5.7, set.getSup(), 1.0e-10);
    }

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Examples of org.apache.commons.math3.geometry.euclidean.oned.Vector1D

    }


    @Test
    public void testInfinite() {
        IntervalsSet set = new IntervalsSet(9.0, Double.POSITIVE_INFINITY);
        Assert.assertEquals(Region.Location.BOUNDARY, set.checkPoint(new Vector1D(9.0)));
        Assert.assertEquals(Region.Location.OUTSIDE,  set.checkPoint(new Vector1D(8.4)));
        for (double e = 1.0; e <= 6.0; e += 1.0) {
            Assert.assertEquals(Region.Location.INSIDE,
                                set.checkPoint(new Vector1D(FastMath.pow(10.0, e))));
        }
        Assert.assertTrue(Double.isInfinite(set.getSize()));
        Assert.assertEquals(9.0, set.getInf(), 1.0e-10);
        Assert.assertTrue(Double.isInfinite(set.getSup()));

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Examples of org.apache.commons.math3.geometry.euclidean.oned.Vector1D

                                                              new IntervalsSet(3.0, 5.0)),
                                                              new IntervalsSet(9.0, Double.POSITIVE_INFINITY)),
                                                              new IntervalsSet(Double.NEGATIVE_INFINITY, 11.0));
        Assert.assertEquals(5.0, set.getSize(), 1.0e-10);
        Assert.assertEquals(5.9, ((Vector1D) set.getBarycenter()).getX(), 1.0e-10);
        Assert.assertEquals(Region.Location.OUTSIDE,  set.checkPoint(new Vector1D(0.0)));
        Assert.assertEquals(Region.Location.OUTSIDE,  set.checkPoint(new Vector1D(4.0)));
        Assert.assertEquals(Region.Location.OUTSIDE,  set.checkPoint(new Vector1D(8.0)));
        Assert.assertEquals(Region.Location.OUTSIDE,  set.checkPoint(new Vector1D(12.0)));
        Assert.assertEquals(Region.Location.INSIDE,   set.checkPoint(new Vector1D(1.2)));
        Assert.assertEquals(Region.Location.INSIDE,   set.checkPoint(new Vector1D(5.9)));
        Assert.assertEquals(Region.Location.INSIDE,   set.checkPoint(new Vector1D(9.01)));
        Assert.assertEquals(Region.Location.BOUNDARY, set.checkPoint(new Vector1D(5.0)));
        Assert.assertEquals(Region.Location.BOUNDARY, set.checkPoint(new Vector1D(11.0)));
        Assert.assertEquals( 1.0, set.getInf(), 1.0e-10);
        Assert.assertEquals(11.0, set.getSup(), 1.0e-10);


        List<Interval> list = set.asList();
        Assert.assertEquals(3, list.size());

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Examples of org.apache.commons.math3.geometry.euclidean.oned.Vector1D

        Line l1 = new Line(new Vector2D(-1.5, 0.0), FastMath.PI / 4);
        SubLine s1 = (SubLine) set.intersection(l1.wholeHyperplane());
        List<Interval> i1 = ((IntervalsSet) s1.getRemainingRegion()).asList();
        Assert.assertEquals(2, i1.size());
        Interval v10 = i1.get(0);
        Vector2D p10Lower = l1.toSpace(new Vector1D(v10.getInf()));
        Assert.assertEquals(0.0, p10Lower.getX(), 1.0e-10);
        Assert.assertEquals(1.5, p10Lower.getY(), 1.0e-10);
        Vector2D p10Upper = l1.toSpace(new Vector1D(v10.getSup()));
        Assert.assertEquals(0.5, p10Upper.getX(), 1.0e-10);
        Assert.assertEquals(2.0, p10Upper.getY(), 1.0e-10);
        Interval v11 = i1.get(1);
        Vector2D p11Lower = l1.toSpace(new Vector1D(v11.getInf()));
        Assert.assertEquals(1.0, p11Lower.getX(), 1.0e-10);
        Assert.assertEquals(2.5, p11Lower.getY(), 1.0e-10);
        Vector2D p11Upper = l1.toSpace(new Vector1D(v11.getSup()));
        Assert.assertEquals(1.5, p11Upper.getX(), 1.0e-10);
        Assert.assertEquals(3.0, p11Upper.getY(), 1.0e-10);


        Line l2 = new Line(new Vector2D(-1.0, 2.0), 0);
        SubLine s2 = (SubLine) set.intersection(l2.wholeHyperplane());
        List<Interval> i2 = ((IntervalsSet) s2.getRemainingRegion()).asList();
        Assert.assertEquals(1, i2.size());
        Interval v20 = i2.get(0);
        Vector2D p20Lower = l2.toSpace(new Vector1D(v20.getInf()));
        Assert.assertEquals(1.0, p20Lower.getX(), 1.0e-10);
        Assert.assertEquals(2.0, p20Lower.getY(), 1.0e-10);
        Vector2D p20Upper = l2.toSpace(new Vector1D(v20.getSup()));
        Assert.assertEquals(3.0, p20Upper.getX(), 1.0e-10);
        Assert.assertEquals(2.0, p20Upper.getY(), 1.0e-10);


    }

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Examples of org.apache.commons.math3.geometry.euclidean.oned.Vector1D


    @Test
    public void testPointAt() {
        Line l = new Line(new Vector2D(2, 1), new Vector2D(-2, -2));
        for (double a = -2.0; a < 2.0; a += 0.2) {
            Vector1D pA = new Vector1D(a);
            Vector2D point = l.toSpace(pA);
            Assert.assertEquals(a, (l.toSubSpace(point)).getX(), 1.0e-10);
            Assert.assertEquals(0.0, l.getOffset(point),   1.0e-10);
            for (double o = -2.0; o < 2.0; o += 0.2) {
                point = l.getPointAt(pA, o);

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Examples of org.apache.commons.math3.geometry.euclidean.oned.Vector1D

    @Test
    public void testInterval() {
        IntervalsSet set = new IntervalsSet(2.3, 5.7);
        Assert.assertEquals(3.4, set.getSize(), 1.0e-10);
        Assert.assertEquals(4.0, ((Vector1D) set.getBarycenter()).getX(), 1.0e-10);
        Assert.assertEquals(Region.Location.BOUNDARY, set.checkPoint(new Vector1D(2.3)));
        Assert.assertEquals(Region.Location.BOUNDARY, set.checkPoint(new Vector1D(5.7)));
        Assert.assertEquals(Region.Location.OUTSIDE,  set.checkPoint(new Vector1D(1.2)));
        Assert.assertEquals(Region.Location.OUTSIDE,  set.checkPoint(new Vector1D(8.7)));
        Assert.assertEquals(Region.Location.INSIDE,   set.checkPoint(new Vector1D(3.0)));
        Assert.assertEquals(2.3, set.getInf(), 1.0e-10);
        Assert.assertEquals(5.7, set.getSup(), 1.0e-10);
    }

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Examples of org.apache.commons.math3.geometry.euclidean.oned.Vector1D

    }


    @Test
    public void testInfinite() {
        IntervalsSet set = new IntervalsSet(9.0, Double.POSITIVE_INFINITY);
        Assert.assertEquals(Region.Location.BOUNDARY, set.checkPoint(new Vector1D(9.0)));
        Assert.assertEquals(Region.Location.OUTSIDE,  set.checkPoint(new Vector1D(8.4)));
        for (double e = 1.0; e <= 6.0; e += 1.0) {
            Assert.assertEquals(Region.Location.INSIDE,
                                set.checkPoint(new Vector1D(FastMath.pow(10.0, e))));
        }
        Assert.assertTrue(Double.isInfinite(set.getSize()));
        Assert.assertEquals(9.0, set.getInf(), 1.0e-10);
        Assert.assertTrue(Double.isInfinite(set.getSup()));

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Examples of org.apache.commons.math3.geometry.euclidean.oned.Vector1D

                                                              new IntervalsSet(3.0, 5.0)),
                                                              new IntervalsSet(9.0, Double.POSITIVE_INFINITY)),
                                                              new IntervalsSet(Double.NEGATIVE_INFINITY, 11.0));
        Assert.assertEquals(5.0, set.getSize(), 1.0e-10);
        Assert.assertEquals(5.9, ((Vector1D) set.getBarycenter()).getX(), 1.0e-10);
        Assert.assertEquals(Region.Location.OUTSIDE,  set.checkPoint(new Vector1D(0.0)));
        Assert.assertEquals(Region.Location.OUTSIDE,  set.checkPoint(new Vector1D(4.0)));
        Assert.assertEquals(Region.Location.OUTSIDE,  set.checkPoint(new Vector1D(8.0)));
        Assert.assertEquals(Region.Location.OUTSIDE,  set.checkPoint(new Vector1D(12.0)));
        Assert.assertEquals(Region.Location.INSIDE,   set.checkPoint(new Vector1D(1.2)));
        Assert.assertEquals(Region.Location.INSIDE,   set.checkPoint(new Vector1D(5.9)));
        Assert.assertEquals(Region.Location.INSIDE,   set.checkPoint(new Vector1D(9.01)));
        Assert.assertEquals(Region.Location.BOUNDARY, set.checkPoint(new Vector1D(5.0)));
        Assert.assertEquals(Region.Location.BOUNDARY, set.checkPoint(new Vector1D(11.0)));
        Assert.assertEquals( 1.0, set.getInf(), 1.0e-10);
        Assert.assertEquals(11.0, set.getSup(), 1.0e-10);


        List<Interval> list = set.asList();
        Assert.assertEquals(3, list.size());

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