Having fun with Python code for Exponentiation by Squaring. This reduces the number
of computations a classical computer needs to do for exponentiation, useful when working
with large numbers. From Copilot, below:
def exp_by_squaring(x, n):
if n < 0:
x = 1 / x
n = -n
if n == 0:
return 1
elif n % 2 == 0:
return exp_by_squaring(x * x, n // 2)
else:
return x * exp_by_squaring(x * x, (n - 1) // 2)
# Example usage
base = 2
exponent = 10
result = exp_by_squaring(base, exponent)
print(f"{base}^{exponent} = {result}")
* * *
For a walk-through by Perplexity:
That was instantaneous:
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