RE: How do I program a fibonacci function non-recursively in c?
Sure, here is a simple and straight-to-the-point way to program a Fibonacci function non-recursively in C:
```c
#include
void fib(int n) {
int t0 = 0, t1 = 1, nextTerm;
for (int i = 1; i <= n; ++i)
{
printf("%d, ", t0);
nextTerm = t0 + t1;
t0 = t1;
t1 = nextTerm;
}
}
int main()
{
int n;
printf("Enter the number of terms: ");
scanf("%d", &n);
fib(n);
return 0;
}
```
The `fib` function generates the Fibonacci sequence up to `n` terms. `t0` and `t1` store the first two terms (0 and 1) of the sequence. The loop starts from 1 since the first two terms are hardcoded. In each iteration of the loop, the program displays the value of `t0`, calculates the next term as the sum of `t0` and `t1`, and then updates `t0` and `t1` to be ready for the next term. This is repeated until the desired number of terms have been printed. The `main` function receives user input and calls the `fib` function.
If you wish to return the `nth` Fibonacci number instead of printing the sequence, consider the following function:
```c
int fib(int n) {
int t0 = 0, t1 = 1, nextTerm;
for (int i = 1; i <= n; ++i)
{
nextTerm = t0 + t1;
t0 = t1;
t1 = nextTerm;
}
return t0;
}
```
This adjustment only returns the `nth` Fibonacci number.
Remember, this method uses a loop to calculate and consequently generate each Fibonacci number, which is what makes it non-recursive. This is considerably more efficient than its recursive counterpart, especially for larger values of `n`, as it avoids the overhead of repeated function calls and takes constant O(1) space complexity (since it only requires 3 integer variables).