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38 changes: 22 additions & 16 deletions kll_sketch/kll_sketch.py
Original file line number Diff line number Diff line change
Expand Up @@ -240,37 +240,43 @@ def _compress_once(self) -> bool:

buf = self._levels[lvl]
buf.sort()
if len(buf) < 3:
# Not enough items to compact while preserving min/max boundaries.
return False

rng = self._rng(salt=lvl + self._n + len(buf))
keep_odd = rng.getrandbits(1) == 1
start = 1 if keep_odd else 0

# Ensure we can form at least one pair; if not, flip parity once.
if len(buf) - start < 2:
# Always preserve explicit boundary elements.
core = buf[1:-1]
if len(core) < 2:
return False

if len(core) - start < 2:
keep_odd = not keep_odd
start = 1 if keep_odd else 0
if len(buf) - start < 2:
if len(core) - start < 2:
return False

promoted: List[float] = []
# True KLL: choose one from each adjacent pair (unbiased)
for i in range(start, len(buf) - 1, 2):
promoted.append(buf[i] if rng.getrandbits(1) else buf[i + 1])
for i in range(start, len(core) - 1, 2):
promoted.append(core[i] if rng.getrandbits(1) else core[i + 1])

if not promoted:
return False

# Boundary preservation: keep BOTH non-paired boundaries.
leftover: List[float] = []
leftover: List[float] = [buf[0]]
if start == 1:
# Front boundary not in any pair
leftover.append(buf[0])
if (len(buf) - start) % 2 == 1:
# Tail boundary not in any pair
tail = buf[-1]
if not leftover or leftover[-1] != tail:
leftover.append(tail)
leftover.append(core[0])
if (len(core) - start) % 2 == 1:
leftover.append(core[-1])
leftover.append(buf[-1])

self._levels[lvl] = leftover
self._ensure_levels(lvl + 2)
self._levels[lvl + 1].extend(promoted)
return len(promoted) > 0
return True

def _compress_until_ok(self) -> None:
loops = 0
Expand Down