Re: Getting greatest decimal accuracy out of G_PI

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On Fri, 2 Feb 2007 23:43:05 +0100David Nečas (Yeti) <yeti@xxxxxxxxxxxxxxx> wrote:
>On Fri, Feb 02, 2007 at 04:30:17PM -0500, zentara wrote:>> Please pardon my basic questions, but I am self taught>> and run into questions I can't solve thru googling.>>The problem of this question is rather that it's completely>unrelated to Gtk+.
Well I'm wondering why the header defines G_PI to 49 places(if I counted right), if the biggest Gtk2 data type only holds precisionto 15?  So I'm wondering if someone knew something about gtk2that would handle such a big number? 
>> I see that G_PI is defined in the header to>> 3.14159265358979323846>>I wonder where you found this.  gtypes.h defines G_PI:>>  #define G_PI    3.1415926535897932384626433832795028841971693993751
Yeah you are right. I  copied it off 
 g.lib-2.12.9/docs/reference/glib/html/lib-Numerical-Definitions.html
correctly, but I must have made a cut-n-paste typo somewhere. Sorry.It was still greater prescision than I could get with Long Double.
>>The standard IEEE 754 double precision floating point type>has 64 bits, of which 52 bits is mantissa, that's 15-16>decimal digits.  The standard type obviously has the same>precision everywhere because if it differed it would not be>the standard type any more.>>Both i386 (or rather its 387 math coprocessor) and x86_64>are capable of calculation with 80bit floating point>numbers, mantissa is 64 bits, that's 19-20 decimal digits.>These numbers are available as the `long double' type.  long>double is implementation-defined, it can look differently on>other platforms.>>Yeti
Thank you for your help. After looking thru a bunch of comp.lang.cposts, where this was asked, the best answer I saw was
"C only guarantees 10 digits of precision with double and long double.Since IEEE representations have become widespread 15 or so is commonbut the requirement is still only 10. "
And that is what I'm seeing..... 15 decimal places accuracy.
It also answered a question lurking in the back of my mind, whyFortran is still so widely used in numerical computation insteadof c.
zentara

-- I'm not really a human, but I play one on earth.http://zentara.net/japh.html_______________________________________________gtk-list mailing listgtk-list@xxxxxxxxxxxxx://mail.gnome.org/mailman/listinfo/gtk-list

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