Towards a User Transparent Interval Arithmetic
نویسندگان
چکیده
The interval arithmetic provides a tool powerful enough to validate many scientific computations. Yet no implementation standard is available to the programmers. Testing a code involves getting acquainted with an evolving non standard interval arithmetic package, modifying the code and running the new source with the correct extensions. We propose and investigate a self contained easy to use interval arithmetic package that can eventually be put in place of the standard floating point arithmetic. The program produces some guaranteed bounds on the result of the theoretical real value of the numerical approximation without even recompiling the source code.
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This paper generalizes the speciication of Basic Interval Arithmetic Sub-routines (BIAS) to support interval arithmetic on directed (i.e. proper and improper) intervals. This is due to our understanding that the arithmetic involving improper intervals will be increasingly used in future applications and the corresponding interval arithmetic implementations require no additional cost. We extend ...
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