Constant-time exponent of 2 detector¶
- Author or source: Brent Lehman (moc.oohay@ljbliam)
- Created: 2002-02-10 12:53:15
In your common FFT program, you want to make sure that the frame you're working with has a
size that is a power of 2. This tells you in just a few operations. Granted, you won't
be using this algorithm inside a loop, so the savings aren't that great, but every little
hack helps ;)
1 2 3 4 5 6 | // Quit if size isn't a power of 2
if ((-size ^ size) & size) return;
// If size is an unsigned int, the above might not compile.
// You'd want to use this instead:
if (((~size + 1) ^ size) & size) return;
|
Comments¶
- Date: 2002-02-12 03:20:11
- By: moc.oohay@xrotcnuf
I think I prefer:
if (! (size & (size - 1))) return;
I'm not positive this is fewer instructions than the above, but I think it's easier to see why it works (n and n-1 will share bits unless n is a power of two), and it doesn't require two's-complement.
- Tom 7