On the contract of FieldElement<T>.divide(T)
--------------------------------------------

                 Key: MATH-755
                 URL: https://issues.apache.org/jira/browse/MATH-755
             Project: Commons Math
          Issue Type: Improvement
    Affects Versions: 3.0, 3.1
            Reporter: Sébastien Brisard
            Assignee: Sébastien Brisard
            Priority: Minor
             Fix For: 3.1


As discussed on the mailing list:
{quote}
The contract of {{FieldElement<T>.divide(T)}} states that an 
{{ArithmeticException}} should be thrown if the parameter is zero. However, for 
this boundary case
* {{BigFraction}} throws {{ZeroException}}
* {{ArithmeticException}} throws {{ArithmeticException}}
* {{Complex}} uses NaNs instead of exceptions
* {{Dfp}}, {{DfpDec}} use flags instead of exceptions
* {{Fraction}} throws {{MathArithmeticException}}.
{quote}

There is a need for some cleaning up, which will proceed in two steps
# in version 3.0 of the {{FieldElement}} interface the statement that an 
exception must be thrown will be removed. The rationale for this is that 
sometimes, an exception is actually not wanted. For example, I'm using a 
wrapper around primitive {{double}}, and I want all boundary cases to be 
handled _exactly_ the same way as the primitive operation "/").
# in version 3.1 of Commons Math, the _same_ exception (if any) will be thrown 
by all implementations. This will require to chose between 
{{ArithmeticException}}, {{MathArithmeticException}} and {{ZeroException}}.

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