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Posted to issues@commons.apache.org by "Gilles (Updated) (JIRA)" <ji...@apache.org> on 2012/01/26 15:11:04 UTC
[jira] [Updated] (MATH-722) [math] Complex Tanh for "big" numbers
[ https://issues.apache.org/jira/browse/MATH-722?page=com.atlassian.jira.plugin.system.issuetabpanels:all-tabpanel ]
Gilles updated MATH-722:
------------------------
Fix Version/s: 3.0
> [math] Complex Tanh for "big" numbers
> -------------------------------------
>
> Key: MATH-722
> URL: https://issues.apache.org/jira/browse/MATH-722
> Project: Commons Math
> Issue Type: Bug
> Affects Versions: 2.2
> Environment: I'm working with Eclipse 3.6.2 on Windows XP, but the bug is Enviroment independent
> Reporter: Juan Barandiaran
> Assignee: Sébastien Brisard
> Priority: Minor
> Labels: patch
> Fix For: 3.0
>
> Original Estimate: 0.25h
> Remaining Estimate: 0.25h
>
> Hi,
> In Complex.java the tanh is computed with the following formula:
> tanh(a + bi) = sinh(2a)/(cosh(2a)+cos(2b)) + [sin(2b)/(cosh(2a)+cos(2b))]i
> The problem that I'm finding is that as soon as "a" is a "big" number,
> both sinh(2a) and cosh(2a) are infinity and then the method tanh returns in
> the real part NaN (infinity/infinity) when it should return 1.0.
> Wouldn't it be appropiate to add something as in the FastMath library??:
> if (real>20.0){
> return createComplex(1.0, 0.0);
> }
> if (real<-20.0){
> return createComplex(-1.0, 0.0);
> }
> Best regards,
> JBB
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