Adopted lfs_ctz_index implementation using popcount

This reduces the O(n^2logn) runtime to read a file to only O(nlog).
The extra O(n) did not touch the disk, so it isn't a problem until the
files become very large, but this solution comes with very little cost.

Long story short, you can find the block index + offset pair for a
CTZ linked-list with this series of formulas:

n' = floor(N / (B - 2w/8))
N' = (B - 2w/8)n' + (w/8)popcount(n')
off' = N - N'
n, off =
  n'-1, off'+B                if off' <  0
  n',   off'+(w/8)(ctz(n')+1) if off' >= 0

For the long story, you will need to see the updated DESIGN.md
This commit is contained in:
Christopher Haster
2017-10-16 19:08:47 -05:00
parent 4fdca15a0d
commit 46e22b2a38
3 changed files with 123 additions and 17 deletions

View File

@@ -41,6 +41,10 @@ static inline uint32_t lfs_npw2(uint32_t a) {
return 32 - __builtin_clz(a-1);
}
static inline uint32_t lfs_popc(uint32_t a) {
return __builtin_popcount(a);
}
static inline int lfs_scmp(uint32_t a, uint32_t b) {
return (int)(unsigned)(a - b);
}