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This is a procedure which will convert a decimal number ($decimal) into its corresponding whole number counterpart plus its fractional counterpart.
So, 2.5 would return $whole = 2, $numerator = 1, $denominator = 2. it also returns the 'top heavy' format, so that 2.5 would give $top_heavy = 5/2.
This works for negative decimals too. And for zero, returns 0/1.
It works up to the limit of phps number handling (12 decimal places i think)
jeremy
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<?php
$decimal = -4.2;
list ($whole, $numerator, $denominator, $top_heavy) = convert($decimal);
print $whole;
print "<BR>";
print $numerator;
print "<BR>";
print $denominator;
print "<BR>";
print $top_heavy;
function convert ($decimal) {
if ($decimal == 0) {
$whole = 0;
$numerator = 0;
$denominator = 1;
$top_heavy = 0;
}
else {
$sign = 1;
if ($decimal < 0) {
$sign = -1;
}
if (floor(abs($decimal)) == 0) {
$whole = 0;
$conversion = abs($decimal);
}
else {
$whole = floor(abs($decimal));
$conversion = abs($decimal);
}
$power = 1;
$flag = 0;
while ($flag == 0) {
$argument = $conversion * $power;
if ($argument == floor($argument)) {
$flag = 1;
}
else {
$power = $power * 10;
}
}
$numerator = $conversion * $power;
$denominator = $power;
$hcf = euclid ($numerator, $denominator);
$numerator = $numerator/$hcf;
$denominator = $denominator/$hcf;
$whole = $sign * $whole;
$top_heavy = $sign * $numerator;
$numerator = abs($top_heavy) - (abs($whole) * $denominator);
if (($whole == 0) && ($sign == -1)) {
$numerator = $numerator * $sign;
}
}
return array($whole, $numerator, $denominator, $top_heavy);
}
function euclid ($number_one, $number_two) {
if (($number_one == 0) or ($number_two == 0)) {
$hcf = 1;
return $hcf;
}
else {
if ($number_one < $number_two) {
$buffer = $number_one;
$number_one = $number_two;
$number_two = $buffer;
}
$dividend = $number_one;
$divisor = $number_two;
$remainder = $dividend;
while ($remainder > 0) {
if ((floor($dividend/$divisor)) == ($dividend/$divisor)) {
$quotient = $dividend/$divisor;
$remainder = 0;
}
else {
$quotient = floor($dividend/$divisor);
$remainder = $dividend - ($quotient * $divisor);
}
$hcf = $divisor;
$dividend = $divisor;
$divisor = $remainder;
}
}
return $hcf;
}
?> | |
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