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As a final part to my 'big arithemtic' series for large integers, I have included a function that will carry out arithmetic (+ , - , x , /) on large positive or negative integers.
The procedure relies on the other functions of mine (search for them under my name), big_addition, big_subtraction, big_multiply and big_divide to work, and so these functions must appear alongside this function in order to work.
The argument of the function is ($number_one, $number_two, $operator) , where $operator can be either "+" , "-" , "*" or "/" , depending on what operation you want to carry out on the integers. Remember the integers can be positive or negative, unlike the supporting sub-procedures which require that their argument integers be positive.
| <?php
$number_one = "-44786576456";
$number_two = "1788867";
$answer = big_arithmetic($number_one, $number_two, "+");
print $answer;
print "<br>";
print "<br>";
$answer = big_arithmetic($number_one, $number_two, "-");
print $answer;
print "<br>";
print "<br>";
$answer = big_arithmetic($number_one, $number_two, "*");
print $answer;
print "<br>";
print "<br>";
list ($quotient, $remainder) = big_arithmetic($number_one, $number_two, "/");
print "quotient = ";
print $quotient;
print "<br>";
print "remainder = ";
print $remainder;
function big_arithmetic($number_one, $number_two, $operator) {
if ($number_one[0] == "-") {
$sign_one = "-";
$mod_one = substr($number_one, 1);
}
else {
$sign_one = "+";
$mod_one = $number_one;
}
if ($number_two[0] == "-") {
$sign_two = "-";
$mod_two = substr($number_two, 1);
}
else {
$sign_two = "+";
$mod_two = $number_two;
}
$mod_one_larger_mod_two = false;
if (strlen($mod_one) > strlen($mod_two)) {
$mod_one_larger_mod_two = true;
}
if (strlen($mod_one) == strlen($mod_two)) {
$length = strlen($mod_one);
$index = 0;
$flag = false;
while (($index <= ($length - 1)) && ($flag == false)) {
if ((integer)$mod_one[$index] == (integer)$mod_two[$index]) {
$index++;
}
else {
$flag = true;
if ((integer)$mod_one[$index] > (integer)$mod_two[$index]) {
$mod_one_larger_mod_two = true;
}
}
}
}
if ($operator == "+") {
if (($sign_one == "+") && ($sign_two == "+")) {
$answer = big_addition($mod_one, $mod_two);
}
if (($sign_one == "-") && ($sign_two == "+")) {
if ($mod_one_larger_mod_two == true) {
$answer = "-" . (big_subtract($mod_one, $mod_two));
}
else {
$answer = big_subtract($mod_two, $mod_one);
}
}
if (($sign_one == "+") && ($sign_two == "-")) {
if ($mod_one_larger_mod_two == true) {
$answer = big_subtract($mod_one, $mod_two);
}
else {
$answer = "-" . (big_subtract($mod_two, $mod_one));
}
}
if (($sign_one == "-") && ($sign_two == "-")) {
$answer = "-" . (big_addition($mod_one, $mod_two));
}
if ($answer == "-0") {
$answer = "0";
}
return $answer;
}
if ($operator == "-") {
if (($sign_one == "+") && ($sign_two == "+")) {
if ($mod_one_larger_mod_two == true) {
$answer = big_subtract($mod_one, $mod_two);
}
else {
$answer = "-" . (big_subtract($mod_two, $mod_one));
}
}
if (($sign_one == "-") && ($sign_two == "+")) {
$answer = "-" . (big_addition($mod_one, $mod_two));
}
if (($sign_one == "+") && ($sign_two == "-")) {
$answer = big_addition($mod_one, $mod_two);
}
if (($sign_one == "-") && ($sign_two == "-")) {
if ($mod_one_larger_mod_two == true) {
$answer = "-" . (big_subtract($mod_one, $mod_two));
}
else {
$answer = big_subtract($mod_two, $mod_one);
}
}
if ($answer == "-0") {
$answer = "0";
}
return $answer;
}
if ($operator == "*") {
$argument = big_multiply($mod_one, $mod_two);
if ($argument == "0") {
$answer = $argument;
return $answer;
}
else {
if (($sign_one == "+") && ($sign_two == "+")) {
$answer = $argument;
}
if (($sign_one == "-") && ($sign_two == "+")) {
$answer = "-" . $argument;
}
if (($sign_one == "+") && ($sign_two == "-")) {
$answer = "-" . $argument;
}
if (($sign_one == "-") && ($sign_two == "-")) {
$answer = $argument;
}
return $answer;
}
}
if ($operator == "/") {
list($quotient, $remainder) = big_divide($mod_one, $mod_two);
if ($quotient == "error") {
return array($quotient, $remainder);
}
else {
if (($sign_one == "+") && ($sign_two == "+")) {
return array($quotient, $remainder);
}
if (($sign_one == "-") && ($sign_two == "+")) {
if ($quotient != "0") {
$quotient = "-" . $quotient;
}
if ($remainder != "0") {
$remainder = "-" . $remainder;
}
return array($quotient, $remainder);
}
if (($sign_one == "+") && ($sign_two == "-")) {
if ($quotient != "0") {
$quotient = "-" . $quotient;
}
return array($quotient, $remainder);
}
if (($sign_one == "-") && ($sign_two == "-")) {
return array($quotient, $remainder);
}
}
}
}
?> | |
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