How to Fix Power Recursion Errors

In this tutorial, you'll learn about How to Fix Power Recursion Errors. We cover key concepts, practical examples, and best practices.

Fix power recursion errors when stack overflow from linear recursion or negative exponent handling missing.

Quick Fix

Wrong

def pow(x,n):
    if n==0: return 1
    return x*pow(x,n-1)

O(n) time, O(n) stack. Slow for large n. No negative exponent support.

Right

def pow(x,n):
    if n==0: return 1
    if n<0: return 1/pow(x,-n)
    if n%2==0:
        h=pow(x,n//2)
        return h*h
    return x*pow(x,n-1)

pow(2,10)=1024, pow(2,-3)=0.125. O(log n) time, O(log n) stack.

Prevention

Fast exponentiation: divide exponent by 2 each step. Even: half*half. Odd: x * pow(x,n-1).

DodaTech Tools

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