Partial evaluation and automatic program generation
Partial evaluation and automatic program generation
Systematic design of program transformation frameworks by abstract interpretation
POPL '02 Proceedings of the 29th ACM SIGPLAN-SIGACT symposium on Principles of programming languages
POPL '77 Proceedings of the 4th ACM SIGACT-SIGPLAN symposium on Principles of programming languages
Representable Correcting Terms for Possibly Underflowing Floating Point Operations
ARITH '03 Proceedings of the 16th IEEE Symposium on Computer Arithmetic (ARITH-16'03)
Validation of assembler programs for DSPs: a static analyzer
Proceedings of the 5th ACM SIGPLAN-SIGSOFT workshop on Program analysis for software tools and engineering
Control Code Obfuscation by Abstract Interpretation
SEFM '05 Proceedings of the Third IEEE International Conference on Software Engineering and Formal Methods
Semantics of roundoff error propagation in finite precision calculations
Higher-Order and Symbolic Computation
Static analysis of numerical algorithms
SAS'06 Proceedings of the 13th international conference on Static Analysis
An overview of semantics for the validation of numerical programs
VMCAI'05 Proceedings of the 6th international conference on Verification, Model Checking, and Abstract Interpretation
Program transformation for numerical precision
Proceedings of the 2009 ACM SIGPLAN workshop on Partial evaluation and program manipulation
Enhancing the implementation of mathematical formulas for fixed-point and floating-point arithmetics
Formal Methods in System Design
Perturbing numerical calculations for statistical analysis of floating-point program (in)stability
Proceedings of the 19th international symposium on Software testing and analysis
Accurate Evaluation of Arithmetic Expressions (Invited Talk)
Electronic Notes in Theoretical Computer Science (ENTCS)
A new abstract domain for the representation of mathematically equivalent expressions
SAS'12 Proceedings of the 19th international conference on Static Analysis
Dynamic floating-point cancellation detection
Parallel Computing
Automatically adapting programs for mixed-precision floating-point computation
Proceedings of the 27th international ACM conference on International conference on supercomputing
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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.