ID:               47168
 Updated by:       ras...@php.net
 Reported By:      exploringbinary at gmail dot com
-Status:           Bogus
+Status:           Open
 Bug Type:         Math related
 Operating System: Windows
 PHP Version:      5.2.8
-Assigned To:      
+Assigned To:      rasmus
 New Comment:

I agree with Rick here.  The 40-digit limit is strangely arbitrary and
doesn't match the size of the double.  We are hiding available precision
here.


Previous Comments:
------------------------------------------------------------------------

[2009-01-30 21:51:56] exploringbinary at gmail dot com

Since I didn't find anything in the documentation, I poked around in
the source code. In php-5.2.8\ext\standard\formatted_print.c I found
this: #define MAX_FLOAT_PRECISION 40

There is no explanation as to why it's capped at 40.

What's interesting is that this code prints only 40 decimal places
(0.0000000000004547473508864641189575195312), without a warning:

<?php
 /* Print 2^-41 */
 $dyadic = 0.00000000000045474735088646411895751953125;
 printf ("%1.2147483646f",$dyadic);
?>

While this code prints ``Warning: printf() [function.printf]: Precision
must be greater than zero and less than 2147483647 ...'' 

<?php
 /* Print 2^-41 */
 $dyadic = 0.00000000000045474735088646411895751953125;
 printf ("%1.2147483647f",$dyadic);
?>

If you're going to warn about a maximum, why not warn about the real
maximum -- 40, not 2147483646?

I wrote an article about how this issue is handled in PHP and 7 other
languages at
http://www.exploringbinary.com/print-precision-of-dyadic-fractions-varies-by-language/

------------------------------------------------------------------------

[2009-01-20 22:26:19] exploringbinary at gmail dot com

Hi,

  I read the documentation and the "how to submit a bug report" and
googled as well before (and now again after) submitting the bug report. 
I cannot see discussion of this limit. Could you please give me a more
specific link?

  I would also like to know the rationale for the limit. Why doesn't
javascript or gcc have this limit? Why did Microsoft accept my bug
report for a similar problem in VS? It seems like something PHP should
consider, or at least give rationale for why not.

Thanks.

------------------------------------------------------------------------

[2009-01-20 18:04:24] il...@php.net

Thank you for taking the time to write to us, but this is not
a bug. Please double-check the documentation available at
http://www.php.net/manual/ and the instructions on how to report
a bug at http://bugs.php.net/how-to-report.php

PHP string formatting functions will not permit float precision beyond

40 characters, this is a hard limit. A notice was however added to 
indicate that this is happening.

------------------------------------------------------------------------

[2009-01-20 14:55:45] exploringbinary at gmail dot com

Description:
------------
printf will not print more than 40 decimal places, even if the format
specifier asks for more. For example, 

<?php
 $value = 0.00000000000000011102230246251565404236316680908203125; //
2^-53
 printf ("%1.53f",$value); // Prints only 40 decimal places:
0.0000000000000001110223024625156540423632
 ?> 

Contrast this with javascript:
<script type="text/javascript">
  var value = 0.00000000000000011102230246251565404236316680908203125;
// 2^-53
  var result = value.toFixed(53);
  document.write (result); // Prints all 53 decimal places
</script>

I reported a similar bug in Visual Studio, which Microsoft acknowledged
as an error:
https://connect.microsoft.com/VisualStudio/feedback/ViewFeedback.aspx?FeedbackID=329278


Reproduce code:
---------------
<?php
 $value = 0.00000000000000011102230246251565404236316680908203125; //
2^-53
 printf ("%1.53f",$value); // Prints only 40 decimal places:
0.0000000000000001110223024625156540423632
 ?>

Expected result:
----------------
I expect to see all 53 decimal places printed:
0.00000000000000011102230246251565404236316680908203125

Actual result:
--------------
Only 40 decimal places are printed:
0.0000000000000001110223024625156540423632


------------------------------------------------------------------------


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