bcdiv
(PHP 4, PHP 5)
bcdiv — Divide two arbitrary precision numbers
Description
string bcdiv
( string
$left_operand
= ""
, string $right_operand
= ""
[, int $scale
= int
] )
Divides the left_operand
by the
right_operand
.
Parameters
-
left_operand
-
The left operand, as a string.
-
right_operand
-
The right operand, as a string.
-
scale
-
This optional parameter is used to set the number of digits after the decimal place in the result. You can also set the global default scale for all functions by using bcscale().
Return Values
Returns the result of the division as a string, or NULL
if
right_operand
is 0.
Examples
Example #1 bcdiv() example
<?php
echo bcdiv('105', '6.55957', 3); // 16.007
?>
Коментарии
Perhaps some one can find useful this function to compute the modular inverse of a integer (extended euclidean algorithm):
function invmod($a,$b) {
$n=$b;
$x=0; $lx=1; $y=1; $ly=0;
while ($b) {
$t=$b;
$q=bcdiv($a,$b,0);
$b=bcmod($a,$b);
$a=$t;
$t=$x; $x=bcsub($lx,bcmod(bcmul($q,$x),$n)); $lx=$t;
$t=$y; $y=bcsub($ly,bcmod(bcmul($q,$y),$n)); $ly=$t;
}
if (bccomp($lx,0) == -1)
$lx=bcadd($lx,$n);
return $lx;
}
// verify
$n="2447995268898324993537772139997802321";
$t="64941057316178801556773346239351236811";
$m="123456789";
$i=invmod($t,$n);
// (t*m)*inv(t) is m
echo bcmod(bcmul(bcmod(bcmul($t,$m),$n),$i),$n) == $m;