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Metalibm: A Mathematical Functions Code Generator

Olga Kupriianova 1 Christoph Lauter 1 
1 PEQUAN - Performance et Qualité des Algorithmes Numériques
LIP6 - Laboratoire d'Informatique de Paris 6
Abstract : There are several different libraries with code for mathematical functions such as exp, log, sin, cos, etc. They provide only one implementation for each function. As there is a link between accuracy and performance, that approach is not optimal. Sometimes there is a need to rewrite a function's implementation with the respect to a particular specification. In this paper we present a code generator for parametrized implementations of mathematical functions. We discuss the benefits of code generation for mathematical libraries and present how to implement mathematical functions. We also explain how the mathematical functions are usually implemented and generalize this idea for the case of arbitrary function with implementation parameters. Our code generator produces C code for parametrized functions within a known scheme: range reduction (domain splitting), polynomial approximation and reconstruction. This approach can be expanded to generate code for black-box functions, e.g. defined only by differential equations.
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Olga Kupriianova, Christoph Lauter. Metalibm: A Mathematical Functions Code Generator. 4th International Congress on Mathematical Software (ICMS 2004), Aug 2014, Seoul, South Korea. pp.713-717, ⟨10.1007/978-3-662-44199-2_106⟩. ⟨hal-01513490⟩



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