Abstract
Solving constraints over the floating point numbers is a key issue in the process of software validation and verification. Techniques to solve such constraints on the basis of projection functions have been successfully developed. However, though correct, this approach can lead to slow convergence phenomena for very common constraints like addition and subtraction constraints. In this paper, we introduce new addition and subtraction constraints which, thanks to a new floating point subtraction property, directly compute optimal bounds for the domain of the variables at a low cost. Preliminary experiments have shown that these constraints can drastically speed up the filtering process.
This work has been partially supported by the “CAVERN” ANR-07-SESUR-003 project.
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References
Botella, B., Gotlieb, A., Michel, C.: Symbolic execution of floating-point computations. Softw. Test., Verif. Reliab. 16(2), 97–121 (2006)
Collavizza, H., Rueher, M., Hentenryck, P.: CPBPV: a constraint-programming framework for bounded program verification. Constraints 15(2), 238–264 (2010)
Marre, B., Blanc, B.: Test selection strategies for lustre descriptions in gatel. Electr. Notes Theor. Comput. Sci. 111, 93–111 (2005)
Michel, C.: Exact projection functions for floating point number constraints. In: AMAI (2002)
Michel, C., Rueher, M., Lebbah, Y.: Solving constraints over floating-point numbers. In: Walsh, T. (ed.) CP 2001. LNCS, vol. 2239, pp. 524–538. Springer, Heidelberg (2001)
Sterbenz, P.: Floating point computations. Prentice-Hall, Englewood Cliffs (1974)
Williams, N., Marre, B., Mouy, P., Roger, M.: Pathcrawler: Automatic generation of path tests by combining static and dynamic analysis. In: Dal Cin, M., Kaâniche, M., Pataricza, A. (eds.) EDCC 2005. LNCS, vol. 3463, pp. 281–292. Springer, Heidelberg (2005)
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Marre, B., Michel, C. (2010). Improving the Floating Point Addition and Subtraction Constraints. In: Cohen, D. (eds) Principles and Practice of Constraint Programming – CP 2010. CP 2010. Lecture Notes in Computer Science, vol 6308. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15396-9_30
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DOI: https://doi.org/10.1007/978-3-642-15396-9_30
Publisher Name: Springer, Berlin, Heidelberg
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