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		<title>Slawek: Created page with &quot;&lt;div style='display: none'&gt; == Do not edit this section == &lt;/div&gt; {{PublicationSetupTemplate|Author=Oleg Kiselyov, Walid Taha |PID=588272 |Name=Kiselyov, Oleg (Monterey, CA 93...&quot;</title>
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				<updated>2014-06-26T03:44:55Z</updated>
		
		<summary type="html">&lt;p&gt;Created page with &amp;quot;&amp;lt;div style=&amp;#039;display: none&amp;#039;&amp;gt; == Do not edit this section == &amp;lt;/div&amp;gt; {{PublicationSetupTemplate|Author=Oleg Kiselyov, Walid Taha |PID=588272 |Name=Kiselyov, Oleg (Monterey, CA 93...&amp;quot;&lt;/p&gt;
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{{PublicationSetupTemplate|Author=Oleg Kiselyov, Walid Taha&lt;br /&gt;
|PID=588272&lt;br /&gt;
|Name=Kiselyov, Oleg (Monterey, CA 93943);Taha, Walid [waltah] (Department of Computer Science, Rice University)&lt;br /&gt;
|Title=Relating FFTW and Split-Radix&lt;br /&gt;
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|Year=2004&lt;br /&gt;
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|Abstract=&amp;lt;p&amp;gt;Recent work showed that staging and abstract interpretation can beused to derive correct families of combinatorial circuits, and illustrated this technique with an in-depth analysis of the Fast Fourier Transform (FFT) for sizes 2n.While the quality of the generated code was promising, it used more ﬂoatingpoint operations than the well-known FFTW codelets and split-radix algorithm.This paper shows that staging and abstract interpretation can in fact be used toproduce circuits with the same number of ﬂoating-point operations as each ofsplit-radix and FFTW. In addition, choosing between two standard implementations of complex multiplication produces results that match each of the twoalgorithms. Thus, we provide a constructive method for deriving the two distinctalgorithms.&amp;lt;/p&amp;gt;&lt;br /&gt;
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|CreatedDate=2013-01-14&lt;br /&gt;
|PublicationDate=2013-01-15&lt;br /&gt;
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