Does this count as plagiarism?

In my compilers class assignment, we were asked to write some MIPS code. One of the problem involved implementing fact() function as a sub-problem. I wanted to implement the standard recursive version

int fact ( int n )
{
     if ( n == 0 || n == 1 )    return 1;
     return n * fact(n-1);
}

As I am new to MIPS, I looked up here on how to implement recursive routines. Unfortunately, the link explained recursion using fact() function itself. As I dint want to "copy" code, I just understood the concept of recursion and wrote the fact myself.

But my fact code seems very similar to the one I looked up to learn recursion in MIPS. Is it for the fact that I glanced at the code already or the fact that factorial is really a very simple function with hardly 10 lines in it? Am I guilty of plagiarism here?

Here is my code

fact:   addi $sp, $sp, -8       # decrement SP to make room for pushing input var and ret addr
        sw $ra, 4($sp)          # save $ra
        sw $a0, 0($sp)          # save input on stack

        li   $v0, 1             # Set v0 to 1 initially.
        beq  $a0, 0, fact_ret   # if ( n == 0 )    return 1;
        beq  $a0, 1, fact_ret   # if (n == 1) return 1;

        addi $a0, $a0, -1
        jal fact                # Recursive call fact(n-1)
        lw  $a0, 0($sp)
        mult $v0, $a0           # n * fact(n-1)
        mflo $v0                # Save answer in v0
fact_ret: 
        lw $ra, 4($sp)          # restore $ra
        addi $sp, $sp, 8        # restore $sp
        jr $ra                  # return from function