Abstract
Floating-point arithmetic is an important source of errors in programs because of the loss of precision arising during a computation. Unfortunately, this arithmetic is not intuitive (e.g. many elementary operations are not associative, inversible, etc.) making the debugging phase very difficult and empiric.
This article introduces a new kind of program transformation in order to automatically improve the accuracy of floating-point computations. We use P. Cousot and R. Cousot’s framework for semantics program transformation and we propose an offline transformation. This technique was implemented, and the first experimental results are presented.
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Martel, M. (2007). Semantics-Based Transformation of Arithmetic Expressions. In: Nielson, H.R., Filé, G. (eds) Static Analysis. SAS 2007. Lecture Notes in Computer Science, vol 4634. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74061-2_19
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DOI: https://doi.org/10.1007/978-3-540-74061-2_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-74060-5
Online ISBN: 978-3-540-74061-2
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