[jira] [Created] (MATH-1414) Method reciprocal() in Complex for complex numbers with parts very close to 0.0

["Gunel Jahangirova (JIRA)" <ji...@apache.org>]

Gunel Jahangirova created MATH-1414:
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             Summary: Method reciprocal() in Complex for complex numbers with parts very close to 0.0
                 Key: MATH-1414
                 URL: https://issues.apache.org/jira/browse/MATH-1414
             Project: Commons Math
          Issue Type: Improvement
            Reporter: Gunel Jahangirova
            Priority: Minor


In class Complex the method reciprocal() returns INF only if the real and imaginary parts are equal exactly to 0.0. In case of real and imaginary parts, being double numbers very close to 0.0, it does not hold. For example, if we run this code

Complex complex0 = new Complex((-2.44242319E-315));
Complex complex1 = complex0.reciprocal();

the value of complex1.getReal() will be -Infinity and the value of complex1.getImaginary() will be NaN, instead of complex1 being equal to INF.

I think the code in the method 

if (real == 0.0 && imaginary == 0.0) {
            return INF;
}

should be replaced by the equality check with some tolerance (0.01 in this case):

if (equals(this, ZERO, 0.01)) {
        return INF;
}



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