J. Stolfi and L. H. de Figueiredo. Self-Validated Numerical Methods and Applications. Monograph for 21st Brazilian Mathematics Colloquium, IMPA, 1997. Available at ftp://ftp.tecgraf.puc-rio.br/pub/lhf/doc/cbm97.ps.gz.![]() |
....appear as a upper bound, and 0 can only appear as a lower bound. With this convention, we nd that the IEEE standard facilitates interval arithmetic to a remarkable extent. However, we realize that the beauty of the standard is in the eye of the beholder: other researchers in interval arithmetic [19] criticize the signed zeros as follows: While it is possible to concoct examples where this feature saves an instruction or two, in the vast majority of applications this value is an annoying distraction and a source of subtle bugs. 5.3 Optimal IEEE Approximations of Interval Arithmetic In ....
J. Stol and L. de Figueiredo. Self-validated numerical methods and applications, 1997.
....5 Conclusion This work is still in progress. We are currently working on efficient data structures and algorithms for computing the topology of the arrangement from quadtree decompositions and also for point location. We are also interested in more efficient tests, using affine arithmetic [11], and in extensions to 3D. ....
J. Stolfi and L. H. de Figueiredo. Self-Validated Numerical Methods and Applications. Monograph for 21st Brazilian Mathematics Colloquium, IMPA, 1997. Available at ftp://ftp.tecgraf.puc-rio.br/pub/lhf/doc/cbm97.ps.gz.
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