[jira] [Created] (MATH-1093) arcs set split covers full circle instead of being empty

["Luc Maisonobe (JIRA)" <ji...@apache.org>]

Luc Maisonobe created MATH-1093:
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             Summary: arcs set split covers full circle instead of being empty
                 Key: MATH-1093
                 URL: https://issues.apache.org/jira/browse/MATH-1093
             Project: Commons Math
          Issue Type: Bug
    Affects Versions: 3.3
            Reporter: Luc Maisonobe


When splitting an arcs set using an arc very close to one of the boundaries (but not at the boundary), the algorithm confuses cases for which end - start = 2pi from cases for which end - start = epsilon.

The following test case shows such a failure:
{code}
    @Test
    public void testSplitWithinEpsilon() {
        double epsilon = 1.0e-10;
        double a = 6.25;
        double b = a - 0.5 * epsilon;
        ArcsSet set = new ArcsSet(a - 1, a, epsilon);
        Arc arc = new Arc(b, b + FastMath.PI, epsilon);
        ArcsSet.Split split = set.split(arc);
        Assert.assertEquals(set.getSize(), split.getPlus().getSize(),  epsilon);
        Assert.assertNull(split.getMinus());
    }
{code}

The last assertion (split.getMinus() being null) fails, as with current code split.getMinus() covers the full circle from 0 to 2pi.



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