Edit report at https://bugs.php.net/bug.php?id=62959&edit=1

 ID:                 62959
 Comment by:         ni...@php.net
 Reported by:        lauris dot kuznecovs at laurisnet dot com
 Summary:            Wrong math
 Status:             Not a bug
 Type:               Bug
 Package:            Math related
 Operating System:   Windows 7, Centos 5.8
 PHP Version:        5.4.6
 Block user comment: N
 Private report:     N

 New Comment:

Oh, sorry, I missed rasmus second reply ;)


Previous Comments:
------------------------------------------------------------------------
[2012-08-28 19:00:48] ni...@php.net

Floating point values have a limited precision. Hence a value might 
not have the same string representation after any processing. That also
includes writing a floating point value in your script and directly 
printing it without any mathematical operations.

If you would like to know more about "floats" and what IEEE
754 is, read this:
http://www.floating-point-gui.de/

------------------------------------------------------------------------
[2012-08-28 18:19:10] ras...@php.net

Depends on your definition of correct. Like I said, computers cannot represent 
floating point with perfect accuracy. -2.8421709430404 E-14 is an extremely 
small number very close to 0, so it is as close to "correct" as you are going 
to 
get.
You should probably read through this http://floating-point-gui.de/ to get up 
to 
speed on how computers treat floating point values. This isn't a PHP-specific 
thing. For example:

Python 2.7.3 (default, Aug  1 2012, 05:14:39) 
[GCC 4.6.3] on linux2
Type "help", "copyright", "credits" or "license" for more information.
>>> (443.292 - 193.126 - 250.166)
-2.842170943040401e-14

------------------------------------------------------------------------
[2012-08-28 18:11:12] lauris dot kuznecovs at laurisnet dot com

Ok, lets say that the round() function works as expected, but still this 
calculation (443.292 - 193.126 - 250.166) return: -2.8421709430404 E-14
And that is not correct!

------------------------------------------------------------------------
[2012-08-28 17:57:17] ras...@php.net

-0 may not exist in traditional math, but it very much exists in computer 
representations. Computers can't represent floating point values with complete 
accuracy, so if you manipulate floating point you are going to get rounding 
errors. -0 means a value rounded to 0 from the negative direction. You can read 
http://en.wikipedia.org/wiki/Signed_zero for more details.

------------------------------------------------------------------------
[2012-08-28 17:50:56] lauris dot kuznecovs at laurisnet dot com

Description:
------------
<? echo (443.292 - 193.126 - 250.166); ?>
Return: -2.8421709430404e-14

<? echo round(443.292 - 193.126 - 250.166, 2); ?>
Return: -0


But these calculations must return 0.
BTW -0 does not exist in MATH. Maybe some error in rounding function.

Test script:
---------------
<? echo (443.292 - 193.126 - 250.166); ?>
<? echo round(443.292 - 193.126 - 250.166, 2); ?>

Expected result:
----------------
0



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



-- 
Edit this bug report at https://bugs.php.net/bug.php?id=62959&edit=1

Reply via email to