integer Overflow Algorithm
The Integer Overflow Algorithm is a computational method that detects when an arithmetic operation on integers exceeds the fixed size allocated for the representation of those integers, causing the value to wrap around or truncate, and leading to unexpected results. Integer overflow can occur in various programming languages and computer systems when performing operations such as addition, subtraction, multiplication, or division. It is a critical issue, as it can lead to security vulnerabilities, crashes, and incorrect calculations if not handled appropriately.
When implementing the Integer Overflow Algorithm, a program checks if an arithmetic operation will result in a value that falls outside the permissible range of values for the given integer type. For instance, in a system using 32-bit signed integers, the range of representable values is from -2,147,483,648 to 2,147,483,647. If an operation would result in a value outside this range, the algorithm detects this overflow condition and takes the appropriate action, such as raising an exception, returning an error, or wrapping the value around within the allowed range. By employing the Integer Overflow Algorithm, developers can prevent unexpected behavior and ensure the robustness and correctness of their software applications.
/**
* Given two integers, determine if their sum would be interger overflow.
*/
#include <iostream>
/**
* Integer overflow check
* @param a [an Integer]
* @param b [another Integer]
* @return [returns true if a + b causes Integer overflow]
*/
bool integerOverflow( int a, int b)
{
int c = a + b;
if ( a > 0 && b > 0 && c < 0 ) {
return true;
} else if ( a < 0 && b < 0 && c > 0 ) {
return true;
}
else {
return false;
}
}
int main()
{
int x = 2147483640;
int y = 10;
std::cout << "Sum of " << x << " and " << y << " causes interger overflow :"
<< (integerOverflow( x, y ) ? "true\n":"false\n");
}
