too large first step with embedded Runge-Kutta integrators (Dormand-Prince 
8(5,3) ...)
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                 Key: MATH-727
                 URL: https://issues.apache.org/jira/browse/MATH-727
             Project: Commons Math
          Issue Type: Bug
    Affects Versions: 3.0
            Reporter: Luc Maisonobe
            Assignee: Luc Maisonobe
             Fix For: 3.0


Adaptive step size integrators compute the first step size by themselves if it 
is not provided.
For embedded Runge-Kutta type, this step size is not checked against the 
integration range, so if the integration range is extremely short, this step 
size may evaluate the function out of the range (and in fact it tries afterward 
to go back, and fails to stop). Gragg-Bulirsch-Stoer integrators do not have 
this problem, the step size is checked and truncated if needed.

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