Re: fcvt safety

From:
Ulrich Eckhardt <eckhardt@satorlaser.com>
Newsgroups:
microsoft.public.vc.language
Date:
Mon, 18 Dec 2006 15:34:42 +0100
Message-ID:
<5hli54-fmf.ln1@satorlaser.homedns.org>
SteveB wrote:

I think we will go down this route - the main problem was caused by the
fact the values are read from SQL Server and as they go from float to
double sometimes the values change. I think we might find a more robust
type in the database (as floats are not guaranteed to be accurate) and
then use sprintf.


Well, the typical change that happens when converting between double and
float is that precision is lost. The other change is rather due to the fact
that float can't represent the same range, i.e. 1E200 might be
representable in double but not in float. If it is the first that worries
you, you are building your program on an unsafe base anyway, you can never
expect any floating-point operations to be 100% precise.

If you rely that 1.3 always remains 1.3, binary floating point numbers are
not an option. Not every decimal number (like e.g. 1.3) can be represented
in a finite number of digits in binary, just like 1/3 can't be represented
in decimal.

There's a document on the net by some Goldstein or Goldberg which is often
mentioned, I think the title is "what every programmer should know about
floating point operations", and which explains some of these things in
greater detail.

Uli

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