lib: add find_nth{,_and,_andnot}_bit()

Kernel lacks for a function that searches for Nth bit in a bitmap.
Usually people do it like this:
	for_each_set_bit(bit, mask, size)
		if (n-- == 0)
			return bit;

We can do it more efficiently, if we:
1. find a word containing Nth bit, using hweight(); and
2. find the bit, using a helper fns(), that works similarly to
   __ffs() and ffz().

fns() is implemented as a simple loop. For x86_64, there's PDEP instruction
to do that: ret = clz(pdep(1 << idx, num)). However, for large bitmaps the
most of improvement comes from using hweight(), so I kept fns() simple.

New find_nth_bit() is ~70 times faster on x86_64/kvm in find_bit benchmark:
find_nth_bit:                  7154190 ns,  16411 iterations
for_each_bit:                505493126 ns,  16315 iterations

With all that, a family of 3 new functions is added, and used where
appropriate in the following patches.

Signed-off-by: Yury Norov <yury.norov@gmail.com>

0 files changed, 0 insertions, 0 deletions