So the precision of an IEEE single precision float is about 7 digits
and of a double is about 15. If you try to exhibit the result to more
digits of precision what makes anyone think you would get a more
precise result? What makes you think that such exhibiting is even guaranteed
to be accurate?
Certainly this is not a math fault, except perhaps that Firefox attempts
to show results to more precision than is defined. At worst a venial sin.
In the Dark Ages it used to be taught routinely that tests for equality
when using floating point were likely to fail due to precision limits. Is
this lore now lost???
(For that matter, is the lore also lost that 1.00000000000... (infinite series)
is exactly the same number mathematically as 0.999999999999... (infinite
series) ??)
Hmph. May your punishment for excessive belief in calculators be to have to
multiply
a few score numbers that are expressed to 50 decimal places, using pen or pencil
and paper.
-----Original Message-----
From: full-disclosure-bounces@lists.grok.org.uk
[mailto:full-disclosure-bounces@lists.grok.org.uk]On Behalf Of Rodrigo
Barbosa
Sent: Friday, September 28, 2007 3:44 PM
To: full-disclosure@lists.grok.org.uk
Subject: Re: [Full-disclosure] Firefox 2.0.0.7 has a veryserious
calculation bug
-----BEGIN PGP SIGNED MESSAGE-----
Hash: SHA1
On Fri, Sep 28, 2007 at 09:09:02PM +0200, Michal Zalewski wrote:
On Sat, 29 Sep 2007, Jimby Sharp wrote:
I don't get the same from C-style double arithmetics. Could you provide
a sample code that you believe should show the same behavior?
If you don't, it's presumably because the subtraction is optimized out by
the compiler, or because you printf() with an insufficient precision in
format spec. The following should do the trick:
volatile double a = 5.2;
volatile double b = 0.1;
main() { printf("%.16lf\n",a-b); }
Isn't this the same issue pointed out by Brian Kim (double to float
conversion) ?
Look the results I get for the following code:
volatile double a = 5.2;
volatile double b = 0.1;
main() {
printf("%.16lf\n",a);
printf("%.16lf\n",b);
printf("%.16lf\n",(volatile double) 5.1);
printf("%.16lf\n",(volatile double)((float) 5.1));
printf("%.16lf\n",a-b);
}
Results:
5.2000000000000002
0.1000000000000000
5.0999999999999996
5.0999999046325684 <------------
5.1000000000000005
- --
Rodrigo Barbosa
"Quid quid Latine dictum sit, altum viditur"
"Be excellent to each other ..." - Bill & Ted (Wyld Stallyns)
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