[metapost] Units unaccuracy with numbersystem set to double

[luigi scarso]

On Thu, Apr 3, 2014 at 4:45 PM, Nelson H. F. Beebe <beebe at math.utah.edu>wrote:

>
> Don Knuth wrote a lovely paper with a memorable title on the
> fixed-point binary arithmetic of TeX and Metafont, and the problems of
> representing numbers in decimal such that exact round-trip conversion
> (decimal -> binary -> decimal) is guaranteed:
>
> @InCollection{Knuth:1990:SPW,
>   author =       "Donald E. Knuth",
>   title =        "A Simple Program Whose Proof Isn't",
>   crossref =     "Feijen:1990:BOB",
>   chapter =      "27",
>   pages =        "233--242",
>   year =         "1990",
>   bibdate =      "Mon Feb 03 07:07:55 2003",
>   bibsource =    "http://www.math.utah.edu/pub/tex/bib/fparith.bib",
>   note =         "This paper discusses the algorithm used in {\TeX} for
>                  converting between decimal and scaled fixed-point
>                  binary values, and for guaranteeing a minimum number of
>                  digits in the decimal representation. See also
>                  \cite{Clinger:1990:HRF,Clinger:2004:RHR} for decimal to
>                  binary conversion,
>                  \cite{Steele:1990:HPF,Steele:2004:RHP} for binary to
>                  decimal conversion, and \cite{Gries:1990:BDO} for an
>                  alternate proof of Knuth's algorithm.",
>   acknowledgement = ack-nhfb,
>   keywords =     "decimal floating-point arithmetic",
> }
>
> @String{pub-SV                  = "Spring{\-}er-Ver{\-}lag"}
> @String{pub-SV:adr              = "Berlin, Germany~/ Heidelberg,
>                                   Germany~/ London, UK~/ etc."}
>
> @Book{Feijen:1990:BOB,
>   editor =       "W. H. J. Feijen and A. J. M. {van Gasteren} and D.
>                  Gries and J. Misra",
>   booktitle =    "Beauty is our business: a birthday salute to {Edsger
>                  W. Dijkstra}",
>   title =        "Beauty is our business: a birthday salute to {Edsger
>                  W. Dijkstra}",
>   publisher =    pub-SV,
>   address =      pub-SV:adr,
>   pages =        "xix + 453",
>   year =         "1990",
>   ISBN =         "0-387-97299-4",
>   ISBN-13 =      "978-0-387-97299-2",
>   LCCN =         "QA76 .B326 1990",
>   bibdate =      "Thu Mar 24 09:27:40 1994",
>   bibsource =    "http://www.math.utah.edu/pub/tex/bib/fparith.bib",
>   acknowledgement = ack-nhfb,
> }
>
> Also in the Selected Papers on Design of Alghorithms

-- 
luigi
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