[jira] Commented: (MAPREDUCE-1923) Support arbitrary precision in the distbbp example

["Tsz Wo (Nicholas), SZE (JIRA)" <ji...@apache.org>]

    [ https://issues.apache.org/jira/browse/MAPREDUCE-1923?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=12902677#action_12902677 ] 

Tsz Wo (Nicholas), SZE commented on MAPREDUCE-1923:
---------------------------------------------------

The Two Quadrillionth Bit of Pi is ... guess?
See http://arxiv.org/abs/1008.3171 .

> Support arbitrary precision in the distbbp example
> --------------------------------------------------
>
>                 Key: MAPREDUCE-1923
>                 URL: https://issues.apache.org/jira/browse/MAPREDUCE-1923
>             Project: Hadoop Map/Reduce
>          Issue Type: Improvement
>          Components: examples
>            Reporter: Tsz Wo (Nicholas), SZE
>            Assignee: Tsz Wo (Nicholas), SZE
>            Priority: Minor
>         Attachments: distbbp20100825.tar.gz, Mod1Fraction_IntArray.java
>
>
> The precision obtained by _distbbp_ is limited by Java {{double}} (IEEE 754 64-bit), which has machine epsilon e=2^(-53).  When it is used to compute the 10^15 th bit of π, only 26-bit precision with 99.9999998% confident is obtained.  (Will provide the error analysis later.)   It would be great if it supports arbitrary precision arithmetics.

-- 
This message is automatically generated by JIRA.
-
You can reply to this email to add a comment to the issue online.