Guillaume Marceau created MATH-1148:
---------------------------------------

             Summary: MonotoneChain handling of collinear points drops low 
points in a near-column
                 Key: MATH-1148
                 URL: https://issues.apache.org/jira/browse/MATH-1148
             Project: Commons Math
          Issue Type: Bug
    Affects Versions: 3.3
            Reporter: Guillaume Marceau


This code
{code}
val points = List(
  new Vector2D(
    16.078200000000184,
    -36.52519999989808
  ),
  new Vector2D(
    19.164300000000186,
    -36.52519999989808
  ),
  new Vector2D(
    19.1643,
    -25.28136477910407
  ),
  new Vector2D(
    19.1643,
    -17.678400000004157
  )
)
new hull.MonotoneChain().generate(points.asJava)
{code}

result in the exception:
{code}
org.apache.commons.math3.exception.ConvergenceException: illegal state: 
convergence failed
        at 
org.apache.commons.math3.geometry.euclidean.twod.hull.AbstractConvexHullGenerator2D.generate(AbstractConvexHullGenerator2D.java:106)
        at 
org.apache.commons.math3.geometry.euclidean.twod.hull.MonotoneChain.generate(MonotoneChain.java:50)
        at .<init>(<console>:13)
        at .<clinit>(<console>)
        at .<init>(<console>:11)
        at .<clinit>(<console>)
        at $print(<console>)
        at sun.reflect.NativeMethodAccessorImpl.invoke0(Native Method)
        at 
sun.reflect.NativeMethodAccessorImpl.invoke(NativeMethodAccessorImpl.java:39)
        at 
sun.reflect.DelegatingMethodAccessorImpl.invoke(DelegatingMethodAccessorImpl.java:25)
        at java.lang.reflect.Method.invoke(Method.java:597)
        at scala.tools.nsc.interpreter.IMain$ReadEvalPrint.call(IMain.scala:704)
        at 
scala.tools.nsc.interpreter.IMain$Request$$anonfun$14.apply(IMain.scala:920)
        at 
scala.tools.nsc.interpreter.Line$$anonfun$1.apply$mcV$sp(Line.scala:43)
        at scala.tools.nsc.io.package$$anon$2.run(package.scala:25)
        at java.lang.Thread.run(Thread.java:662)
{code}

This will be tricky to fix. Not only is the point (19.164300000000186, 
-36.52519999989808) is being dropped incorrectly, but any point dropped in one 
hull risks creating a kink when combined with the other hull.





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