Method 'divide' in class 'Complex' uses a false formula for a special case
resulting in erroneous division by zero.
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Key: MATH-306
URL: https://issues.apache.org/jira/browse/MATH-306
Project: Commons Math
Issue Type: Bug
Environment: all
Reporter: Joerg Huber
The formula that 'divide' wants to implement is
a + bi ac + bd + (bc - ad)i
----------- = -------------------------
c + di c<sup>2</sup> + d<sup>2</sup>
as correctly written in the description.
When c == 0.0 this leads to the special case
a + bi b - a i
----------- = ------------
di d
But the corresponding code is:
if (c == 0.0) {
return createComplex(imaginary/d, -real/c);
}
The bug is the last division -real/c, which should obviously be -real/d.
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