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https://issues.apache.org/jira/browse/MATH-732?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=13204338#comment-13204338
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Sébastien Brisard commented on MATH-732:
----------------------------------------

Thanks Kurt, I took item #2 and #3 into account in {{r1242230}}. As for item 
#1, here is what I've done
# Created {{enum FastFourierTransformer.Normalization}} which can be 
{{STANDARD}} or {{UNITARY}}.
# The type of normalization is then specified in the constructor of 
{{FastFourierTransformer}} as well as the static method {{transformInPlace}}.
# Removed the factory methods {{create()}} and {{createUnitary()}}.

I would like to suggest one last change: I do not like boolean parameters (in 
public methods), as they are difficult to interpret. I see two options
# Define an enum {FORWARD, INVERSE}, and replace the boolean parameter in 
{{transformInPlace}} with this enum,
# Create two methods {{transformInPlace}} and {{inverseTransformInPlace}}. This 
would be consistent with class methods.

The first option would be my preferred option, but then I suppose we should 
also change the class methods, and replace {{transform}} and 
{{inverseTransform}} with one single method taking FORWARD or INVERSE as an 
argument.
                
> Major Speed Improvement to 1D Discrete Fourier Transform (approximately 5x-9x 
> improvement). Preserved public API 100%. Removed unnecessary use of instance 
> variables and instance state.
> ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
>
>                 Key: MATH-732
>                 URL: https://issues.apache.org/jira/browse/MATH-732
>             Project: Commons Math
>          Issue Type: Improvement
>    Affects Versions: 3.0
>            Reporter: Kurt Ostfeld
>            Assignee: Sébastien Brisard
>              Labels: api, perfomance
>             Fix For: 3.0
>
>         Attachments: DFTPerformanceWithPatch.png, 
> DFTPerformanceWithoutPatch.png, FastFourierTransformer.java, 
> FastFourierTransformerTest.java, Main.java
>
>
> I wrote my own Discrete Fourier Transform function in Java and ran some 
> benchmarks and found that it ran dramatically faster than the Apache library 
> implementation. This is a pretty straight forward implementation of the 
> standard Cooley Tukey algorithm that I read out of a textbook. This passes 
> all the Apache library test cases plus several I had written on my own. I 
> created a source code library patch that preserves the public API completely 
> while changing the internal implementation to achieve the performance 
> improvement.
> In addition to the performance issue, I suggest that Discrete Fourier 
> Transform functionality be provided as stateless pure functions (in Java this 
> would be implemented with static methods) just like most other math 
> functions. As-is, the library requires the user to instantiate a Transformer 
> instance which maintains instance state, which is an unecessary complexity 
> for a pure math function. I held off on this change since it would change the 
> public API and affect existing code. However, I see similar backward 
> compatability breaking API changes are already in the FastFourierTransformer 
> class in the 3.0 code base.

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