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Programming-Idioms

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Idiom #32 Integer exponentiation by squaring

Create function exp which calculates (fast) the value x power n.
x and n are non-negative integers.

uint exp(uint x, uint n) {
    if(n == 0)
        return 1;
    if(n == 1)
        return x;
    if(n % 2 == 0)
        return exp(x * x, n / 2);
    else
        return x * exp(x * x, (n - 1) / 2);
}
unsigned int exp(unsigned int x,unsigned int n)
{
    if(n==0)
    {
        return 1;
    }
    if(n==1)
    {
        return x;
    }
    if(!(n%2))
    {
        return exp(x*x,n/2);
    }
    return x*exp(x*x,(n-1)/2);
}

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