System and method of testing and evaluating mathematical...

G - Physics – 06 – F

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G06F 11/36 (2006.01) G06F 1/00 (2006.01) G06F 7/544 (2006.01) G06F 17/18 (2006.01)

Patent

CA 2452274

The present invention provides a system and method for systematic random testing of single- or double-precision, one- or two-variable, scalar or vector mathematical functions against a known higher precision reference mathematical library or to the result of an arbitrary precision mathematical package. The systematic random testing of mathematical functions is performed across the entire floating-point range or a test interval defined therein, including denormalized numbers, with random test arguments appropriately distributed over the test interval. By ensuring the density of coverage of random test arguments across the test interval by comparison against a statistical model and identifying the exception behavior of the mathematical function, an accurate picture of the performance and accuracy of the mathematical function can be assessed.

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