A Fortran 90-based multiprecision system

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.

REFERENCES

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INDEX TERMS

Primary Classification:
  D. Software
  D.3 PROGRAMMING LANGUAGES
      D.3.2 Language Classifications

          Nouns: Fortran 90

Additional Classification:
  D. Software
  D.3 PROGRAMMING LANGUAGES

  G. Mathematics of Computing
  G.1 NUMERICAL ANALYSIS

General Terms:
Languages, Performance

Keywords:
Fortran 90, arithmetic, multiprecision