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Re: Easy Accurate Reading and Writing of Floating-Point Numbers


From: Bruno Haible
Subject: Re: Easy Accurate Reading and Writing of Floating-Point Numbers
Date: Wed, 20 May 2020 00:37:34 +0200
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Marc Nieper-Wißkirchen wrote:
> for output, the shortest rounded
> representation that still reads back accurately has to be selected.
> ...
> A simple algorithm is given by Aubrey Jaffer in [1].
> 
> [1] http://people.csail.mit.edu/jaffer/III/EZFPRW

There are several other algorithms for this purpose.

There is an overview by RyanJuckett at
http://www.ryanjuckett.com/programming/printing-floating-point-numbers/

The papers I know of are:

* Guy L. Steele Jr, Jon L White
  "How to Print Floating-Point Numbers Accurately"
  1990

* Robert G. Burger, R. Kent Dybvig
  "Printing Floating-Point Numbers Quickly and Accurately"
  1996

* Florian Loitsch
  "Printing Floating-Point Numbers Quickly and Accurately with Integers"
  2010

* Marc Andrysco, Ranjit Jhala, Sorin Lerner
  "Printing Floating-Point Numbers"
  2016

Then there's also the algorithm, by Michael Stoll and me (1990),
in GNU clisp and CLN (based on multiprecision arithmetic, not hardware floats).

Bruno




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