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Fast positive integer power function

Name: Anonymous 2012-04-15 6:00

I'm trying to figure out how to compute an integer power of a double efficiently with as little overhead as possible (trying to avoid loops and recursion to minimize the amount of calls and jumps). Calculation speed is the priority.
So far I got this trivial piece of code:

double f(double a,char b){
if(b==2)return a*a;
if(b==3)return a*a*a;
if(b==4)return a*a*a*a;
if(b==5)return a*a*a*a*a;
if(b==6)return a*a*a*a*a*a;
if(b==7)return a*a*a*a*a*a*a;
if(b==8)return a*a*a*a*a*a*a*a;
if(b==9)return a*a*a*a*a*a*a*a*a;
        return a*a*a*a*a*a*a*a*a*a;
}


...which of course assumes the exponent is at most 10. The code can easily be expanded if higher exponents are needed.
I'm thinking this is probably optimal, but I know you /prog/riders have some magic tricks up your sleeve, so hit me with them.

Name: Cudder !MhMRSATORI!FBeUS42x4uM+kgp 2012-04-16 8:26

A Nehalem can do an F2XM1 and FYL2X together in less than 150 clock cycles. (They fucked it up with Sandy Bridge, which takes almost 800 clock cycles.) That's around the range you'll need to beat. A multiplication is about 5 cycles and add is 3 cycles. Exponentiation by squaring will probably do the trick.

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