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
