[jira] Created: (MATH-205) Mathematical error in comment for FastCosineTransformer

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[jira] Created: (MATH-205) Mathematical error in comment for FastCosineTransformer

JIRA jira@apache.org
Mathematical error in comment for FastCosineTransformer
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                 Key: MATH-205
                 URL: https://issues.apache.org/jira/browse/MATH-205
             Project: Commons Math
          Issue Type: Bug
    Affects Versions: 1.2
            Reporter: Roman Werpachowski
            Priority: Trivial


The formula in the comments for transform() method of FastCosineTransformer has the form:

F_n = (1/2) [f_0 + (-1)^n f_N] + \Sum_{k=0}^{N-1} f_k \cos(\pi nk/N)

This is incorrect and should be

F_n = (1/2) [f_0 + (-1)^n f_N] + \Sum_{k=1}^{N-1} f_k \cos(\pi nk/N)

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[jira] Resolved: (MATH-205) Mathematical error in comment for FastCosineTransformer

JIRA jira@apache.org

     [ https://issues.apache.org/jira/browse/MATH-205?page=com.atlassian.jira.plugin.system.issuetabpanels:all-tabpanel ]

Luc Maisonobe resolved MATH-205.
--------------------------------

    Resolution: Fixed

fixed in trunk as of r656814

> Mathematical error in comment for FastCosineTransformer
> -------------------------------------------------------
>
>                 Key: MATH-205
>                 URL: https://issues.apache.org/jira/browse/MATH-205
>             Project: Commons Math
>          Issue Type: Bug
>    Affects Versions: 1.2
>            Reporter: Roman Werpachowski
>            Priority: Trivial
>
> The formula in the comments for transform() method of FastCosineTransformer has the form:
> F_n = (1/2) [f_0 + (-1)^n f_N] + \Sum_{k=0}^{N-1} f_k \cos(\pi nk/N)
> This is incorrect and should be
> F_n = (1/2) [f_0 + (-1)^n f_N] + \Sum_{k=1}^{N-1} f_k \cos(\pi nk/N)

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