... ¹

The research of the second author has been supported by NSF Grant CCR 89-14933.

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...1²

The December 2000 revision of this paper is available in hard copy from the authors and on the Web at http://math.nist.gov/nesf/.

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...AS64³

An explanation of the scheme used for acronyms of references is given on p.  .

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... time⁴

In 1988 the National Bureau of Standards became the National Institute of Standards and Technology.

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... excluded⁵

Methods for constructing and testing algorithms for generating elementary functions are surveyed in [CW80]. See also [Bai93,Bre76,Bre78a,Bre78b,Cod93a,LCY65,MY91,Smi89,Smi91,Ziv91].

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... packages⁶

Certain company products are identified in the text. In no case does such identification imply recommendation or endorsement by the National Institute of Standards and Technology, nor does it imply that the products are necessarily the best available for the purpose.

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... Phys.)⁷

In 1991 this journal was retitled Computational Mathematics and Mathematical Physics.

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... print⁸

A more recent edition, with F. Lösch added as author [JEL60], is no longer in print.

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... functions⁹

General reviews of mathematical software appeared regularly from 1988 to 1994 in the Computers and Mathematics column of the Notices of the American Mathematical Society. An index is given in [DW95].

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... mail¹⁰

To get started with the cumulative index, send the message ``get cpc intro cpcindex'' to listral@earn-relay.ac.uk, or see the instructions printed in every issue of Computer Physics Communications.

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... Committee¹¹

The Air Force Weapons Laboratory has been renamed the Phillips Laboratory.

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... algorithms¹²

For example, it is better to avoid the use of Wronskian and Casoratian relations in the main computing package, if possible, in order to reserve these identities for consistency checks.

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... proposition¹³

For a striking example see [Olv91].

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