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DOI: 10.14569/IJACSA.2019.0101058
PDF

Static Analysis on Floating-Point Programs Dealing with Division Operations

Author 1: MG Thushara
Author 2: K. Somasundaram

International Journal of Advanced Computer Science and Applications(IJACSA), Volume 10 Issue 10, 2019.

  • Abstract and Keywords
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Abstract: Numerical accuracy is a critical point in safe computations when it comes to floating-point programs. Given a certain accuracy for the inputs of a program, the static analysis computes a safe approximation of the accuracy on the outputs. This accuracy depends on the propagation of the errors on the data and on the round-off errors on the arithmetic operations performed during the execution. Floating point values disposes a large dynamic range. But the main pitfall is the inaccuracies that occur with floating point computations. Based on the theory of abstract interpretation, in the paper an upper bound to the precision of the results of these computations in program have been demonstrated.

Keywords: Abstract interpretation; static analysis; forward analysis; abstract domain

MG Thushara and K. Somasundaram, “Static Analysis on Floating-Point Programs Dealing with Division Operations” International Journal of Advanced Computer Science and Applications(IJACSA), 10(10), 2019. http://dx.doi.org/10.14569/IJACSA.2019.0101058

@article{Thushara2019,
title = {Static Analysis on Floating-Point Programs Dealing with Division Operations},
journal = {International Journal of Advanced Computer Science and Applications},
doi = {10.14569/IJACSA.2019.0101058},
url = {http://dx.doi.org/10.14569/IJACSA.2019.0101058},
year = {2019},
publisher = {The Science and Information Organization},
volume = {10},
number = {10},
author = {MG Thushara and K. Somasundaram}
}



Copyright Statement: This is an open access article licensed under a Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, even commercially as long as the original work is properly cited.

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