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From "Dennis Hendriks (Updated) (JIRA)" <>
Subject [jira] [Updated] (MATH-724) RandomDataImpl.nextInt does not distribute uniformly for negative lower bound
Date Wed, 14 Dec 2011 14:17:30 GMT


Dennis Hendriks updated MATH-724:

    Attachment: math-724-v2.patch

math-724-v2.patch: 2nd patch.

 - I think all unit tests work now, including the ones for the Integer.MIN_VALUE to Integer.MAX_VALUE
 - The original problem was that negative values were rounded up by the conversion from double
to int, while positive numbers were rounded down. By using floor, we first round the numbers
down, and then convert to integer, thus ensuring a proper uniform distribution.
 - Test cases for negative values are still missing... Could someone else add them?
 - RandomDataImpl.nextUniform: I haven't changed this, as the change that I used for integers
does not have the desired effect for doubles... This may be caused by the fact that Double.MIN_VALUE
is more negative than Double.MAX_VALUE is positive, but I'm not really sure. Maybe it is not
even an issue for the nextUniform method?

> RandomDataImpl.nextInt does not distribute uniformly for negative lower bound
> -----------------------------------------------------------------------------
>                 Key: MATH-724
>                 URL:
>             Project: Commons Math
>          Issue Type: Bug
>    Affects Versions: Nightly Builds
>            Reporter: Dennis Hendriks
>         Attachments:, math-724-v2.patch, math-724.patch
> When using the RandomDataImpl.nextInt function to get a uniform sample in a [lower, upper]
interval, when the lower value is less than zero, the output is not uniformly distributed,
as the lowest value is practically never returned.
> See the attached file. It uses a [-3, 5] interval. For several
values between 0 and 1, testNextIntUniform1 prints the return value of RandomDataImpl.nextInt
(as double and as int). We see that -2 through 5 are returned several times. The -3 value
however, is only returned for 0.0, and is thus under-respresented in the integer samples.
The output of test method testNextIntUniform2 also clearly shows that value -3 is never sampled.

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