Integer overflow in unsigned long long array - c++

Question

I was trying to make cached Fibonacci sequence, but seem to be running into integer overflow (even if the data type is unsigned long long) after nth position = 247, the compiler outputs strange erroneous negative results, which I was not hoping for. Was wondering what a solution to this is, beyond n=247, and how I can increase accurate result up to essentially n= any positive integer if that possible... Thanks.
I was also trying to set the array capacity to the nthPos but it only accepts constant integers (not even constant variables!), was wondering what a way around this is...
#include <iostream>
#include <cstdlib>
#include <string>
#include <time.h>
#include <cmath>
using namespace std;
int FibonacciRecursiveFunc(int nthPos) {
unsigned long long firstNum = 0; unsigned long long secondNum = 1;
unsigned long long PastFibonacciCache[300] = { firstNum,secondNum };
if (find(PastFibonacciCache, end(PastFibonacciCache), nthPos-1) != end(PastFibonacciCache)) {
return nthPos - 1;
}
else {
for (int i = 2; i < nthPos; i++) {
PastFibonacciCache[i] = PastFibonacciCache[i - 1] + PastFibonacciCache[i - 2];
if (i > 300) {
unsigned long long SecondLastTerm = PastFibonacciCache[299];
unsigned long long lastTerm = PastFibonacciCache[300];
PastFibonacciCache[300] = {}; PastFibonacciCache[0] = SecondLastTerm; PastFibonacciCache[1] = lastTerm;
i - 300; nthPos - 300;
}
}
return PastFibonacciCache[nthPos%300-1];
}
}
int main() {
string inputVAL; int nthPos;
cout << "Greetings, enter a valid n value | n >= 1\n" << "type exit, quit or break to quit program \n\n" << endl << " ->";
getline(cin, inputVAL);
string exit_Methods[3] = { "exit", "quit", "break" };
while (find(exit_Methods, end(exit_Methods), inputVAL) == end(exit_Methods)) {
bool exception_caught = true;
try {
nthPos = stoi(inputVAL);
exception_caught = false;
}
catch (invalid_argument) {
cerr << "invalid argument" << endl;
}
catch (out_of_range) {
cerr << "number is too big" << endl;
}
catch (exception) {
cerr << "something went horribly wrong :v" << endl;
}
if (!exception_caught) {
//begintimer for calculation speed
time_t begin, end;
time(&begin);
if (nthPos >= 1) {
cout << FibonacciRecursiveFunc(nthPos) << endl;
}
else {
cout << "ERR" << endl;
}
// measure elapsed time
time(&end);
time_t elapsed = end - begin;
printf("Time measured: %ld seconds.\n\n", elapsed);
}
cout << "enter a valid n value | n >= 0 ->";
getline(cin, inputVAL);
}
}

Answer 1

int FibonacciRecursiveFunc(int nthPos) {
The return type of your function is int. The maximum value representable by int varies between systems, but let's assume that it is 2147483647 on your system.
The 247th fibonacci number is 1152058411884454788302593034206568772452674037325128. This number is greater than 2147483647. You cannot represent so large number with an int.
was wondering what a way around this is
You cannot use fundamental types. You can use arbitrary precision arithmetic.