[jira] [Created] (NUMBERS-143) Investigate Math.hypot for computing the absolute of a complex number

["Alex Herbert (Jira)" <ji...@apache.org>]

Alex Herbert created NUMBERS-143:
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             Summary: Investigate Math.hypot for computing the absolute of a complex number
                 Key: NUMBERS-143
                 URL: https://issues.apache.org/jira/browse/NUMBERS-143
             Project: Commons Numbers
          Issue Type: Task
          Components: complex
            Reporter: Alex Herbert


{{Math.hypot}} computes the value {{sqrt(x^2+y^2)}} to within 1 ULP. The function uses the [e_hypot.c|https://www.netlib.org/fdlibm/e_hypot.c] implementation from the Freely Distributable Math Library (fdlibm).

Pre-java 9 this function used JNI to call an external implementation. The performance was slow. Java 9 ported the function to native java (see [JDK-7130085 : Port fdlibm hypot to Java|https://bugs.java.com/bugdatabase/view_bug.do?bug_id=7130085]).

This function is used to define the absolute value of a complex number. It is also used in sqrt() and log(). This ticket is to investigate the performance and accuracy of \{{Math.hypot}} against alternatives for use in Complex.

 



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