Accurate and efficient testing of the exponential and logarithm functions

Table-driven techniques can be used to test highly accurate implementation of EXP LOG. The largest error observeed in EXP and LOG accurately to within 1/500 unit in the last place are reported in our tests. Methods to verify the tests' reliability are discussed. Results of applying the tests to...

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Veröffentlicht in:	ACM transactions on mathematical software 1990-09, Vol.16 (3), p.185-200
1. Verfasser:	Tang, Ping-Tak Peter
Format:	Artikel
Sprache:	eng
Schlagworte:	Design and analysis of algorithms Error-correcting codes Exact sciences and technology Mathematical analysis Mathematical software Mathematics Mathematics of computing Methods of scientific computing (including symbolic computation, algebraic computation) Numerical analysis Numerical analysis. Scientific computation Numerical differentiation Randomness, geometry and discrete structures Sciences and techniques of general use Theory of computation
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Beschreibung
Zusammenfassung:	Table-driven techniques can be used to test highly accurate implementation of EXP LOG. The largest error observeed in EXP and LOG accurately to within 1/500 unit in the last place are reported in our tests. Methods to verify the tests' reliability are discussed. Results of applying the tests to our own as well as to a number of other implementations of EXP and LOG are presented.
ISSN:	0098-3500 1557-7295
DOI:	10.1145/79505.79506