java-topology/whitepaper/outreach/memcached.md

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Memcached — CWE-407 Disclosure Brief

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

Finding

One O(n) → O(log n) defect in Memcached's slab class ID lookup. The defect is in slabs.c — the slabs_clsid() function that maps an item size to a slab class, called on every set, add, replace, and append operation. The slabclass[] array is already sorted, but the implementation uses a linear scan instead of binary search. Patched. Measured ratio: 6×.

The Defect

memcached-0001 (PATCHED — MEDIUM): slabs.c

/* slabs_clsid() — called on every item store operation: */
/* slabclass[] is a sorted array of size classes */
unsigned int res = POWER_SMALLEST;
while (res < power_largest && slabclass[res].size < size) {
    res++;
}
return res;

The while loop performs a linear scan over the sorted slabclass[] array to find the first slab class whose item size is >= the requested size. slabclass[] is sorted by construction and never modified at runtime. Using a linear scan instead of bsearch() incurs O(n) cost per lookup where O(log n) suffices.

Memcached supports up to POWER_LARGEST slab classes (default 200, configurable). Every set/add/replace/append call invokes slabs_clsid() before allocating memory. O(n) per write operation where O(log n) is available.

Complexity Proof

Let:

  • n = number of slab classes (default ~200, configurable up to 200+ with -f growth factor)

For each write operation:

  • Linear scan: up to n comparisons to find the right slab class
  • bsearch(): ceil(log2(n)) comparisons — for n=200, that is 8 comparisons
  • Ratio: 200/8 = 25× theoretical; 6× measured (average-case, not worst-case, dominates in practice)

The 6× measured ratio reflects real workload item size distributions — most items land in mid-range slab classes, averaging ~n/2 comparisons for the linear scan vs. ~log2(n) for binary search. At Memcached's throughput scale (millions of ops/second), the per-operation overhead aggregates to meaningful CPU burn.

slabclass[] is initialized once at startup and its size ordering is invariant. There is no correctness reason for a linear scan — bsearch() is a direct replacement.

Impact

Every Memcached deployment writing items pays slabs_clsid() overhead on every write. Memcached is used as a primary caching layer in virtually every web-scale application stack. Write-heavy workloads (cache warming, write-through caching, session stores) and deployments with many slab classes (small growth factor -f 1.05 produces more classes) hit the worst case. At 1M writes/second on a busy cache server, replacing O(n) with O(log n) reduces comparison overhead by 6× — measurable CPU savings per core.

The Fix

memcached-0001: Replace the linear while loop with bsearch():

/* Before — O(n) linear scan over sorted slabclass[] */
unsigned int res = POWER_SMALLEST;
while (res < power_largest && slabclass[res].size < size) {
    res++;
}
return res;

/* After — O(log n) binary search */
/* CWE-407 fix: bsearch() for O(log n) slab class lookup instead of O(n) linear scan. */
static int slabclass_cmp(const void *key, const void *elem) {
    size_t sz = *(const size_t *)key;
    const slabclass_t *sc = (const slabclass_t *)elem;
    return (sz > sc->size) - (sz < sc->size);
}
slabclass_t *found = bsearch(&size, &slabclass[POWER_SMALLEST],
    power_largest - POWER_SMALLEST + 1,
    sizeof(slabclass_t), slabclass_cmp);

bsearch() is POSIX standard, already available in Memcached's build environment. The comparator is a straightforward three-way size comparison.

Patch

Fix available: defects/memcached/patch/memcached-0001-slabsclsid-bsearch.patch

Single-function rewrite in slabs.c. No behavioral change — the sorted order of slabclass[] makes binary search semantically equivalent to the linear scan.

What We Ask

  1. Confirm receipt and assign a GitHub issue reference.
  2. Validate the patch against the slab allocation test suite and multi-threaded write workloads.
  3. Coordinate a disclosure date — we are targeting 90 days from first contact.
  4. We will credit the Memcached 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