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Computer Generation of General Size Linear Transform Libraries
Voronenko, Y.   de Mesmay, F.   Puschel, M.  
Dept. of Electr. & Comput. Eng., Carnegie Mellon Univ., Pittsburgh, PA;

This paper appears in: Code Generation and Optimization, 2009. CGO 2009. International Symposium on
Publication Date: 22-25 March 2009
On page(s): 102-113
Location: Seattle, WA,
ISBN: 978-0-7695-3576-0
INSPEC Accession Number: 10627021
Digital Object Identifier: 10.1109/CGO.2009.33
Current Version Published: 2009-05-05

Abstract
The development of high-performance libraries has become extraordinarily difficult due to multiple processor cores, vector instruction sets, and deep memory hierarchies. Often, the library has to be reimplemented and reoptimized, when a new platform is released. In this paper we show how to automatically generate general input-size libraries for the domain of linear transforms. The input to our generator is a formal specification of the transform and the recursive algorithms the library should use; the output is a library that supports general input size, is vectorized and multithreaded, provides an adaptation mechanism for the memory hierarchy, and has excellent performance, comparable to or better than the best human-written libraries. Further, we show that our library generator enables various customizations; one example is the generation of Java libraries.

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