gmp_sqrtrem

(PHP 4 >= 4.0.4, PHP 5)

gmp_sqrtrem --  Square root with remainder

Description

array gmp_sqrtrem ( resource a)

Returns array where first element is the integer square root of a (see also gmp_sqrt()), and the second is the remainder (i.e., the difference between a and the first element squared).

Example 1. gmp_sqrtrem() example

<?php
list($sqrt1, $sqrt1rem) = gmp_sqrtrem("9");
list(
$sqrt2, $sqrt2rem) = gmp_sqrtrem("7");
list(
$sqrt3, $sqrt3rem) = gmp_sqrtrem("1048576");

echo
gmp_strval($sqrt1) . ", " . gmp_strval($sqrt1rem) . "\n";     
echo
gmp_strval($sqrt2) . ", " . gmp_strval($sqrt2rem) . "\n";     
echo
gmp_strval($sqrt3) . ", " . gmp_strval($sqrt3rem) . "\n";     
?>

The printout of the above program will be:

3, 0
2, 3
1024, 0
gmp_strval($r['s']), gmp_strval($b),
    
gmp_strval($r['t']), gmp_strval($r['g']));
} else {
    echo
"Error while solving the equation\n";
}
    
// output: Solution: 12*2 + 21*-1 = 3
?>