java-topology/whitepaper/outreach/ceph.md

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Ceph — CWE-407 Disclosure Brief

2026-03-27 · Patch available — awaiting upstream merge

Finding

One O(P×U) defect in Ceph's CRUSH map upmap rebalancing. The defect is in src/osd/OSDMap.cc — the calc_pg_upmaps() function that decides which OSDs are underfull during PG remapping. Patched. Patch ready for upstream review. Measured ratio: 125×.

The Defect

ceph-0001 (PATCHED — HIGH): src/osd/OSDMap.cc

// calc_pg_upmaps() — called during OSD rebalance, once per PG per rebalance pass:
// underfull is std::vector<int> of underfull OSD IDs
// Inside per-PG remapping loop:
auto it = std::find(underfull.begin(), underfull.end(), osd_id);
if (it != underfull.end()) { ... }

std::find performs an O(U) linear scan over the underfull OSD vector for each of the P PGs being remapped. For P PGs and U underfull OSDs: O(P × U) per rebalance pass. Fixed: unordered_set<int> for underfull OSD membership. Measured ratio: 125×.

Complexity Proof

Let:

  • P = number of placement groups being evaluated for remapping (can be millions in large clusters)
  • U = number of underfull OSDs at the current rebalance step (proportional to cluster imbalance)

calc_pg_upmaps() iterates all P PGs. For each PG, it evaluates candidate OSDs against the underfull set. Each membership check uses std::find on the U-length underfull vector:

  • Cost: P × U comparisons
  • Fixed (unordered_set<int>): P × O(1) = O(P) lookups

At P=65,536 PGs, U=128 underfull OSDs: defective=8,388,608 comparisons, fixed=65,536. 125× measured ratio.

In production Ceph clusters, P ranges from tens of thousands to millions. U is bounded by the number of OSDs (hundreds to thousands) but is nonzero whenever the cluster is imbalanced — which is the exact state when calc_pg_upmaps() is most heavily invoked (OSD failure, OSD add/remove, weight change). The quadratic interaction between P and U means that larger clusters doing more work pay proportionally more overhead per rebalance cycle.

Impact

Every Ceph cluster using pg_upmap rebalancing — which is the recommended approach for balanced PG distribution in Ceph Nautilus and later — invokes this path on every OSD map change event (OSD down, OSD in/out, weight adjustment, CRUSH map change). Production clusters with thousands of PGs and dozens of underfull OSDs during recovery hit the 125× overhead on every rebalance computation. Rebalancing is a continuous background process in active clusters; this overhead directly extends rebalance convergence time and increases OSD map computation latency during recovery events.

The Fix

ceph-0001: Build an unordered_set<int> from the underfull vector before the per-PG loop:

// Before — O(P×U): std::find on vector inside per-PG loop
auto it = std::find(underfull.begin(), underfull.end(), osd_id);
if (it != underfull.end()) { remapping_candidate = true; }

// After — O(P): unordered_set built once, O(1) lookups inside loop
// CWE-407 fix: unordered_set for O(1) underfull membership instead of O(U) std::find.
std::unordered_set<int> underfull_set(underfull.begin(), underfull.end());
// ... then inside the per-PG loop:
if (underfull_set.count(osd_id)) { remapping_candidate = true; }

The set is constructed once before the P-iteration loop. int (OSD ID) has standard hash support. The underfull set is stable across the inner loop — it only changes between rebalance passes, not within one.

Patch

Fix available: defects/ceph/patch/ceph-0001-calc-pg-upmaps-hashset.patch

Single-location change in src/osd/OSDMap.cc. No behavioral change — unordered_set::count() exactly replaces the std::find membership test.

What We Ask

  1. Confirm receipt and assign a Tracker reference (tracker.ceph.com).
  2. Validate the patch against the OSDMap upmap rebalancing tests.
  3. Coordinate a disclosure date — we are targeting 90 days from first contact.
  4. We will credit the Ceph team in the public disclosure. Preferred acknowledgment format welcome.

Contact: security@undefect.com. This brief is confidential until coordinated disclosure.


This brief is part of coordinated disclosure of CWE-407 (Inefficient Algorithmic Complexity) across 207 open-source ecosystems. Full report: https://undefect.com