A Fortran 90-based multiprecision system

Author:

Bailey David H.1

Affiliation:

1. NASA Ames Research Center, Moffett Field, CA

Abstract

A new version of a Fortran multiprecision computation system, based on the Fortran 90 language, is described. With this new approach, a translator program is not required—translation of Fortran code for multiprecision is accomplished by merely utilizing advanced features of Fortran 90, such as derived data types and operator extensions. This approach results in more-reliable translation and permits programmers of multiprecision applications to utilize the full power of Fortran 90. Three multiprecision data types are supported in this system: multiprecision integer, real, and complex. All the usual Fortran conventions for mixed-mode operations are supported, and many of the Fortran intrinsics, such as SIN, EXP, and MOD, are supported with multiprecision arguments. An interesting application of this software, wherein new number-theoretic identities have been discovered by means of multiprecision computations, is included also.

Publisher

Association for Computing Machinery (ACM)

Subject

Applied Mathematics,Software

Reference6 articles.

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4. FERGUSON H. e. P. AND BAILEY D.H. 1991. A polynomial time numerically stable integer relation algorithm. NASA Ames RNR Tech. Rep. RNR-91-032 NASA Ames Research Center Moffett Field Calif. FERGUSON H. e. P. AND BAILEY D.H. 1991. A polynomial time numerically stable integer relation algorithm. NASA Ames RNR Tech. Rep. RNR-91-032 NASA Ames Research Center Moffett Field Calif.

5. Polynomial Time Algorithms for Finding Integer Relations among Real Numbers

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