How to ceil, floor and round bcmath numbers?
After a night lost trying to solve this problem I believe I've found a rather simple solution, here it is:
function bcceil($number)
{
if (strpos($number, '.') !== false) {
if (preg_match("~\.[0]+$~", $number)) {
return bcround($number, 0);
}
if ($number[0] != '-') {
return bcadd($number, 1, 0);
}
return bcsub($number, 0, 0);
}
return $number;
}
function bcfloor($number)
{
if (strpos($number, '.') !== false) {
if (preg_match("~\.[0]+$~", $number)) {
return bcround($number, 0);
}
if ($number[0] != '-') {
return bcadd($number, 0, 0);
}
return bcsub($number, 1, 0);
}
return $number;
}
function bcround($number, $precision = 0)
{
if (strpos($number, '.') !== false) {
if ($number[0] != '-') {
return bcadd($number, '0.' . str_repeat('0', $precision) . '5', $precision);
}
return bcsub($number, '0.' . str_repeat('0', $precision) . '5', $precision);
}
return $number;
}
I think I didn't miss anything, if someone can spot any bug please let me know. Here are some tests:
assert(bcceil('4') == ceil('4')); // true
assert(bcceil('4.3') == ceil('4.3')); // true
assert(bcceil('9.999') == ceil('9.999')); // true
assert(bcceil('-3.14') == ceil('-3.14')); // true
assert(bcfloor('4') == floor('4')); // true
assert(bcfloor('4.3') == floor('4.3')); // true
assert(bcfloor('9.999') == floor('9.999')); // true
assert(bcfloor('-3.14') == floor('-3.14')); // true
assert(bcround('3', 0) == number_format('3', 0)); // true
assert(bcround('3.4', 0) == number_format('3.4', 0)); // true
assert(bcround('3.5', 0) == number_format('3.5', 0)); // true
assert(bcround('3.6', 0) == number_format('3.6', 0)); // true
assert(bcround('1.95583', 2) == number_format('1.95583', 2)); // true
assert(bcround('5.045', 2) == number_format('5.045', 2)); // true
assert(bcround('5.055', 2) == number_format('5.055', 2)); // true
assert(bcround('9.999', 2) == number_format('9.999', 2)); // true
function bcnegative($n)
{
return strpos($n, '-') === 0; // Is the number less than 0?
}
function bcceil($n)
{
return bcnegative($n) ? (($v = bcfloor(substr($n, 1))) ? "-$v" : $v)
: bcadd(strtok($n, '.'), strtok('.') != 0);
}
function bcfloor($n)
{
return bcnegative($n) ? '-' . bcceil(substr($n, 1)) : strtok($n, '.');
}
function bcround($n, $p = 0)
{
$e = bcpow(10, $p + 1);
return bcdiv(bcadd(bcmul($n, $e, 0), bcnegative($n) ? -5 : 5), $e, $p);
}
Here's ones that support negative numbers and precision argument for rounding.
function bcceil($val) {
if (($pos = strpos($val, '.')) !== false) {
if ($val[$pos+1] != 0 && $val[0] != '-')
return bcadd(substr($val, 0, $pos), 1, 0);
else
return substr($val, 0, $pos);
}
return $val;
}
function bcfloor($val) {
if (($pos = strpos($val, '.')) !== false) {
if ($val[$pos+1] != 0 && $val[0] == '-')
return bcsub(substr($val, 0, $pos), 1, 0);
else
return substr($val, 0, $pos);
}
return $val;
}
function bcround($val, $precision = 0) {
if (($pos = strpos($val, '.')) !== false) {
if ($precision > 0) {
$int = substr($val, 0, $pos);
$pos2 = ++$pos+$precision;
if ($pos2 < strlen($val)) {
$val2 = sprintf('%s.%s', substr($val, $pos, $pos2-$pos), substr($val, $pos2));
$val2 = $val2[0] >= 5 ? bcceil($val2) : bcfloor($val2);
if (strlen($val2) > $precision)
return bcadd($int, $val[0] == '-' ? -1 : 1, 0);
else
return sprintf('%s.%s', $int, rtrim($val2, '0'));
}
return $val;
} else {
if ($val[$pos+1] >= 5)
return ($val[0] == '-' ? bcfloor($val) : bcceil($val));
else
return ($val[0] == '-' ? bcceil($val) : bcfloor($val));
}
}
return $val;
}