How to read/print fp numbers accurately (David Mosberger)
Wed, 22 Aug 90 05:22:37 GMT

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How to read/print fp numbers accurately (1990-08-22)
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Newsgroups: comp.compilers
From: (David Mosberger)
Keywords: design, Fortran, question
Organization: Compilers Central
Date: Wed, 22 Aug 90 05:22:37 GMT

Recently, two articles appeared in a SIGPLAN paper concerning the optimal
conversion of floating point numbers represented in a decimal scientific
notation to binary floating point representation and back. ``Optimal'' is
meant in the sense of ``best approximation to the true binary/decimal
value''. The presented algorithms were very elaborate. However, they
require either multi-precision integers or extended precision
floating-point operations or both.

I would like to know, what the best is one can get using single precision
floating point only? I.e., if you want to convert to/from single precision
floating point numbers, the algorithm should only use single precision
floating point operations (of course, integers with a ``usual'' size may
be used as well). Is there an optimality criterion for such an algorithm?

David Mosberger Glance Ltd.
Software Engineer Gewerbestrasse 4 8162 Steinmaur
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