ID:               49715
 User updated by:  terrafrost at gmail dot com
 Reported By:      terrafrost at gmail dot com
 Status:           Bogus
 Bug Type:         Scripting Engine problem
 Operating System: Windows XP
 PHP Version:      5.2.11
 New Comment:

Maybe you should reread my bug report instead of giving knee jerk
reactions.  Do you even know what a mantissa is?  If you hit Ctrl + F5
on the webpage you cited, you'll come across that term.

Anyway, if the mantissa has 53 bits of precision, why is PHP only
showing 48 bits?  Oh - but because the precision is "limited", I guess
that's not really a problem, is it?

You know what else has "limited precision"?  32-bit integers.  Even
though those support numbers from −2,147,483,648 to 2,147,483,647,
I guess it's not really a problem if PHP's echo statement was only
capable of showing numbers ranging from, say, -128 to 127.  After all,
why waste an opportunity to arbitrarily and artificially reduce
precision for no real reason what-so-ever!  And if anyone complains,
just remind them that they, too, have a "limited precision"!


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

[2009-10-01 16:14:13] [email protected]

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://docs.sun.com/source/806-3568/ncg_goldberg.html
 
Thank you for your interest in PHP.



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

[2009-09-29 20:52:56] terrafrost at gmail dot com

Description:
------------
Displaying a float in base-10 when fractional values are involved is
difficult, as per <http://php.net/float>.  Even if fractional values
aren't involved, displaying the float might still be problematic, if the
number you're trying to display is to big to be stored in the mantissa
of a floating point number.

Problem is, floating point numbers aren't always displayed correctly,
even if the mantissa can hold the number in question.  For example, if
you have a double precision floating point number, your mantissa has 53
bits.  The following corroborates this:

<?php

$test = 1;
$bits = 0;
while (fmod($test, 2) == 1) {
    $test = 2 * $test + 1;
    $bits++;
}

echo $bits;
?>

That, for me, displays 53.

The problem occurs with anything utilizing 48 or more mantissa bits:

<?php
$bits = 0;
while (true) {
    if (bcpow(2, $bits) != (string) pow(2, $bits)) {
        break;
    }
    $bits++;
}
echo $bits;
?>

Reproduce code:
---------------
<?php
echo pow(2, 52);
echo "\r\n";
echo 4503599627370496;
echo "\r\n";
echo pow(2, 52) == 4503599627370496 ? 'equal' : 'not equal';
echo "\r\n";
echo pow(2, 52) == 4503599627370500 ? 'equal' : 'not equal';
?>

Expected result:
----------------
4503599627370496
4503599627370496
equal
not equal


Actual result:
--------------
4503599627370500
4503599627370500
equal
not equal


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


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