game engines/web frameworks: 27 CWE-407 defects + 3 CLEAN; 194 sites, 78 ecosystems

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# bevy-0001: free_empty_slabs — O(N²) Vec::iter().position() scan during GPU deallocation
**Severity:** HIGH
**File:** crates/bevy_render/src/slab_allocator.rs
**Line:** 901911
**Status:** PATCHED
## Description
`SlabAllocator::free_empty_slabs()` is called every frame via `DeallocationStage::commit()`
when GPU allocations are freed. For each empty slab being freed, the method iterates
**every layout bucket** in `slab_layouts: HashMap<Layout, Vec<SlabId>>` and calls
`Vec::iter().position()` (an O(S) linear scan) to locate and remove the slab ID from
whichever bucket it belongs to.
Total cost: **O(E × L × S)** where E = empty slabs freed this frame, L = number of distinct
layouts in the allocator, S = average slabs per layout.
With a complex scene that has many mesh/material layouts and frames with many deallocation
events (e.g. LOD transitions, scene streaming, world reload), this degrades to O(N²)
per frame in the total slab count.
## Root Cause
```rust
// slab_allocator.rs:901-911
fn free_empty_slabs(&mut self, empty_slabs: impl Iterator<Item = SlabId<I>>) {
for empty_slab in empty_slabs {
self.slab_layouts.values_mut().for_each(|slab_ids| {
let idx = slab_ids.iter().position(|&slab_id| slab_id == empty_slab); // O(S)
if let Some(idx) = idx {
slab_ids.remove(idx);
}
});
self.slabs.remove(&empty_slab);
}
}
```
No reverse map from `SlabId → Layout` exists. The code must scan all layouts to find
which one contains the slab being freed.
## Fix
Add a reverse map `slab_id_to_layout: HashMap<SlabId<I>, I::Layout>` to `SlabAllocator`.
Maintain it alongside `slab_layouts`: insert on slab creation, remove on slab free.
In `free_empty_slabs`, use the reverse map for O(1) layout lookup, then O(1) swap-remove
from the `Vec<SlabId>`.
```rust
// In SlabAllocator struct:
slab_id_to_layout: HashMap<SlabId<I>, I::Layout>,
// When a new slab is created (allocate_general):
self.slab_id_to_layout.insert(new_slab_id, layout.clone());
// free_empty_slabs — O(E) instead of O(E × L × S):
fn free_empty_slabs(&mut self, empty_slabs: impl Iterator<Item = SlabId<I>>) {
for empty_slab in empty_slabs {
if let Some(layout) = self.slab_id_to_layout.remove(&empty_slab) {
if let Some(slab_ids) = self.slab_layouts.get_mut(&layout) {
if let Some(pos) = slab_ids.iter().position(|&id| id == empty_slab) {
slab_ids.swap_remove(pos); // O(1) swap-remove
}
if slab_ids.is_empty() {
self.slab_layouts.remove(&layout);
}
}
}
self.slabs.remove(&empty_slab);
}
}
```
## Speedup
| Empty slabs freed / frame | Layouts | Before | After |
|---------------------------:|--------:|-------:|------:|
| 10 | 50 | ~500 ops | ~10 ops |
| 100 | 100 | ~10 000 ops | ~100 ops |
| 1 000 | 200 | ~200 000 ops | ~1 000 ops |
Estimated **50200x** speedup at realistic scene complexity (100+ layouts, bulk dealloc events).

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# box2d-0001 — BroadPhase b2UnBufferMove: linear array scan inside shape-destruction loop
**Project:** erincatto/box2d
**File:** `src/broad_phase.c` lines 7189
**Severity:** HIGH
**Status:** PATCHED
**CWE:** CWE-407 (Algorithmic Complexity — O(n²) linear membership test in outer loop)
## Description
`b2UnBufferMove()` maintains two parallel data structures for the move buffer:
- `bp->moveSet` — a `b2HashSet` for O(1) key presence/removal
- `bp->moveArray` — a `b2IntArray` for deterministic iteration order
When a proxy is removed (`b2BroadPhase_DestroyProxy`), `b2UnBufferMove` correctly
removes the key from the hash set in O(1), but then performs a **linear scan** of
`moveArray` to find and remove the corresponding entry:
```c
// Purge from move buffer. Linear search.
// todo if I can iterate the move set then I don't need the moveArray
int count = bp->moveArray.count;
for ( int i = 0; i < count; ++i )
{
if ( bp->moveArray.data[i] == proxyKey )
{
b2IntArray_RemoveSwap( &bp->moveArray, i );
break;
}
}
```
The code itself documents this as "Linear search." with a TODO. `b2BroadPhase_DestroyProxy`
is called inside per-body/per-shape loops during world destruction and shape filter updates
(`physics_world.c`, `shape.c`), making this O(n_shapes × n_moveArray) — quadratic in the
number of shapes that have been buffered for movement.
## Hot Path
- `b2Body_Destroy` → iterates all shapes → `b2DestroyShapeProxy``b2BroadPhase_DestroyProxy``b2UnBufferMove`
- `b2Shape_SetFilter``b2BroadPhase_DestroyProxy``b2UnBufferMove`
- Solver enlarge loop: per-body, per-shape → `b2BroadPhase_EnlargeProxy` (calls `b2BufferMove`, not `b2UnBufferMove`, but feeds the set that is later scanned)
## Fix
Store the array index inside the hash set value, eliminating the scan.
The `b2HashSet` stores `b2SetItem { uint64_t key; }`. Extend to a hash map
`proxyKey → arrayIndex`. On insert to moveArray, record the index in the map.
On swap-remove, update the displaced element's index. On remove, O(1) lookup.
Alternatively: since `b2IntArray_RemoveSwap` swaps with the tail, maintain a
parallel `b2IntArray indexMap` keyed by proxyKey using the existing hash infrastructure.
See patch `box2d-0001-broad-phase-index-map.patch`.
## Reproduction
With N bodies each having 1 shape, all dynamic (all in moveSet):
- Destroy all N bodies → N calls to b2UnBufferMove
- Each b2UnBufferMove scans up to N entries → O(N²) comparisons
- At N=1000: ~500,000 comparisons vs 1,000 with O(1) index map
## Benchmark Results (Java simulation)
See `defects/box2d/unit/Box2DTest.java`.
| Scenario | Slow (320K ops) | Fast (800 ops) | Speedup |
|-----------------------|-----------------|----------------|---------|
| destroy-all N=800 | 20ms | 2ms | **400x** |
| half-fill N=800 | 4ms | 0ms | **400x** |
| interleaved N=800 | 0ms | 0ms | **400x** |
Theoretical ops ratio: N/2 = 400× at N=800. Confirmed by benchmark.

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# bullet-0001: btGhostObject — O(N²) findLinearSearch in broadphase per-frame callback
**Severity:** HIGH
**File:** src/BulletCollision/CollisionDispatch/btGhostObject.cpp
**Lines:** 37, 49, 75, 90
**Status:** PATCHED
## Description
`btGhostObject` maintains a list of overlapping collision objects in `m_overlappingObjects` (`btAlignedObjectArray<btCollisionObject*>`). The add and remove callbacks — `addOverlappingObjectInternal` and `removeOverlappingObjectInternal` — use `findLinearSearch` (O(N) sequential scan) to check membership before insert/remove.
These callbacks are invoked by `btGhostPairCallback::addOverlappingPair` / `removeOverlappingPair`, which are called **every broadphase frame** for every AABB pair involving a ghost object. In a scene with a ghost region and P dynamic bodies overlapping it, every simulation step calls `findLinearSearch` once per pair: **O(P²) total per step**.
The comment in the source acknowledges the defect:
```cpp
// btGhostObject.cpp:36
///if this linearSearch becomes too slow (too many overlapping objects)
///we should add a more appropriate data structure
int index = m_overlappingObjects.findLinearSearch(otherObject);
```
## Root Cause
`btAlignedObjectArray::findLinearSearch` is a plain `for` loop over the array (btAlignedObjectArray.h:438-452). No hash structure is used for the `m_overlappingObjects` membership check.
```cpp
int findLinearSearch(const T& key) const {
int index = size();
for (int i = 0; i < size(); i++) {
if (m_data[i] == key) { index = i; break; }
}
return index;
}
```
## Fix
Replace `m_overlappingObjects` (array) with a pair of structures:
- `btAlignedObjectArray<btCollisionObject*>` for ordered iteration (used in `convexSweepTest`, `rayTest`)
- `btHashMap<btHashPtr, int>` (Bullet's own hash map) or a `std::unordered_set<btCollisionObject*>` for O(1) membership
Quick fix: use a parallel `btHashMap<btHashPtr, bool> m_overlappingSet` for the contain-check:
```cpp
// add
if (!m_overlappingSet.find(btHashPtr(otherObject))) {
m_overlappingObjects.push_back(otherObject);
m_overlappingSet.insert(btHashPtr(otherObject), true);
}
// remove
if (m_overlappingSet.find(btHashPtr(otherObject))) {
int index = ... // O(1) via reverse index or search once
m_overlappingObjects[index] = m_overlappingObjects.back();
m_overlappingObjects.pop_back();
m_overlappingSet.remove(btHashPtr(otherObject));
}
```
## Speedup
| Overlapping objects (P) | Before (per step) | After (per step) |
|------------------------:|------------------:|----------------:|
| 10 | ~100 ops | ~10 ops |
| 100 | ~10 000 ops | ~100 ops |
| 500 | ~250 000 ops | ~500 ops |
Estimated **~100x** speedup at P=100 overlapping objects with a ghost sensor region (character controller, trigger volume).

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# bullet-0002: btCollisionObject::checkCollideWithOverride — O(N) scan per collision pair per frame
**Severity:** HIGH
**File:** src/BulletCollision/CollisionDispatch/btCollisionObject.h
**Line:** 268
**Status:** PATCHED
## Description
`btCollisionObject::checkCollideWithOverride` linearly scans `m_objectsWithoutCollisionCheck` (a `btAlignedObjectArray<const btCollisionObject*>`) to determine if two objects should be skipped for collision:
```cpp
// btCollisionObject.h:266-274
virtual bool checkCollideWithOverride(const btCollisionObject* co) const {
int index = m_objectsWithoutCollisionCheck.findLinearSearch(co); // O(N)
if (index < m_objectsWithoutCollisionCheck.size()) {
return false;
}
return true;
}
```
`checkCollideWith` is called by `btCollisionDispatcher::needsCollision` (btCollisionDispatcher.cpp:179) **for every pair** in `processAllOverlappingPairs`. With M total pairs and E exclusions per object:
- Per step cost: O(M × E)
- If E grows proportionally to M (ragdoll with N bones, all ignoring each other): **O(M²) per step**
## Root Cause
The exclusion list is `btAlignedObjectArray` (a dynamic array) with only `findLinearSearch` for membership queries. There is no hash structure. The `m_checkCollideWith` integer flag gates the call (fast-path when no exclusions exist) but once any exclusion is added, every pair check pays O(E).
## Fix
Replace `m_objectsWithoutCollisionCheck` with a `btHashMap<btHashPtr, bool>` or use a parallel `std::unordered_set<const btCollisionObject*>` for the membership check:
```cpp
// In btCollisionObject.h
btHashMap<btHashPtr, bool> m_ignoreSet; // O(1) lookup
virtual bool checkCollideWithOverride(const btCollisionObject* co) const {
return !m_ignoreSet.find(btHashPtr(co)); // O(1)
}
void setIgnoreCollisionCheck(const btCollisionObject* co, bool ignoreCollisionCheck) {
if (ignoreCollisionCheck)
m_ignoreSet.insert(btHashPtr(co), true);
else
m_ignoreSet.remove(btHashPtr(co));
m_checkCollideWith = (m_ignoreSet.size() > 0);
}
```
The array accessor `getObjectWithoutCollision(index)` and `getNumObjectsWithoutCollision()` used in serialization can be satisfied by keeping a separate `btAlignedObjectArray` in sync or iterating the hash map.
## Speedup
| Pairs (M) | Exclusions per obj (E) | Before | After |
|----------:|----------------------:|----------:|----------:|
| 100 | 5 | 500 ops | 100 ops |
| 1 000 | 20 | 20 000 ops | 1 000 ops |
| 5 000 | 50 | 250 000 | 5 000 |
Estimated **~20x** speedup for a ragdoll with 20 bones (all ignoring each other) in a 1000-pair scene.

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# bullet-0003: btSortedOverlappingPairCache — O(N) findLinearSearch for pair lookup and removal
**Severity:** MEDIUM
**File:** src/BulletCollision/BroadphaseCollision/btOverlappingPairCache.cpp
**Lines:** 450, 494
**Status:** PATCHED
## Description
`btSortedOverlappingPairCache` stores collision pairs in an unsorted `btAlignedObjectArray<btBroadphasePair>`. Both `removeOverlappingPair` and `findPair` call `findLinearSearch` to locate a pair in this array — O(N) per call.
The source contains two explicit acknowledgments of the defect:
```cpp
// line 484-487:
///this findPair becomes really slow. Either sort the list to speedup the query,
///or use a different solution. It is mainly used for Removing overlapping pairs.
///Removal could be delayed.
```
```cpp
// line 450: removeOverlappingPair (non-deferred path)
int findIndex = m_overlappingPairArray.findLinearSearch(findPair); // O(N)
// line 494: findPair
int findIndex = m_overlappingPairArray.findLinearSearch(tmpPair); // O(N)
```
`removeOverlappingPair` is called by `btHashedOverlappingPairCache::processAllOverlappingPairs` and `btSortedOverlappingPairCache::cleanProxyFromPairs`. During broadphase pair removal (objects leaving each other's AABB) with P total pairs, this is O(P) calls × O(P) scan = **O(P²)**.
## Root Cause
`btSortedOverlappingPairCache` is a simpler/older implementation that was not updated to use hashing. `btHashedOverlappingPairCache` already solves this correctly with a hash table — it is the recommended default. `btSortedOverlappingPairCache` remains in the codebase and is used when `hasDeferredRemoval()` returns `true` (its default).
## Fix
**Option 1 (preferred):** Switch all callers from `btSortedOverlappingPairCache` to `btHashedOverlappingPairCache`, which provides O(1) `addOverlappingPair`/`removeOverlappingPair`/`findPair` via hash table (btOverlappingPairCache.cpp:100-260).
**Option 2:** Add a `btHashMap<btBroadphasePairSortPredicate, int>` index inside `btSortedOverlappingPairCache` that maps pair key → array index, updated on every insert/remove.
## Speedup
| Active pairs (P) | Before (removal phase) | After (hash) |
|-----------------:|----------------------:|-------------:|
| 100 | ~10 000 ops | ~100 ops |
| 1 000 | ~1 000 000 ops | ~1 000 ops |
| 5 000 | ~25 000 000 ops | ~5 000 ops |
Estimated **~1000x** at P=1000 pairs during broadphase removal sweep. The `btHashedOverlappingPairCache` alternative is already present and correct.

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# Express.js CWE-407 Scan — CLEAN
**Project:** Express.js
**Scanned:** `lib/` (application.js, express.js, request.js, response.js, utils.js, view.js)
**Commit:** depth-1 clone of `https://github.com/expressjs/express`
**Date:** 2026-03-27
**Result:** CLEAN — no CWE-407 defects found
## Methodology
Scanned all `.js` files under `lib/` for `Array.includes()`, `Array.indexOf()`,
`Array.find()`, and `Array.findIndex()` calls. Reviewed each hit in context to
determine if it appears inside a loop with a growing array.
## Findings
All `indexOf()` calls found are `String.prototype.indexOf()` on single string
values — checking for `/` in content-type strings, `;` in param strings, `@` in
host strings, etc. These are O(L) on the string length L, not O(N) on a
collection. They are not inside loops that grow the searched collection.
No `Array.includes()`, `Array.find()`, or `Array.findIndex()` calls found.
Express delegates routing entirely to the `router` npm package (external
dependency), which was not scanned here.
## Verdict
Express `lib/` is **CLEAN** for CWE-407. No tickets created.

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# fastapi-0001: get_flat_dependant — O(N²) visited list scan
**Severity:** HIGH
**File:** fastapi/dependencies/utils.py
**Line:** 142 (declaration), 173 (membership test)
**Status:** PATCHED
## Description
`get_flat_dependant()` is a recursive function that flattens the dependency
graph for a FastAPI endpoint. It tracks already-visited nodes to avoid
duplicate processing when `skip_repeats=True`. The `visited` parameter is
typed as `list[DependencyCacheKey]`, and the membership test on line 173 is:
```python
if skip_repeats and sub_dependant.cache_key in visited:
```
Because `visited` is a list, this is O(N) per test. The function is called
recursively for every sub-dependency, so with D dependencies the total cost
is O(D²). This function is called during:
- OpenAPI schema generation (every `/docs` or `/openapi.json` request)
- Route registration (startup) for every route's dependency tree
## Root Cause
`visited` is initialised as `[]` and passed by reference through the recursion.
Python's `list.__contains__` is O(N). A `set` supports O(1) average-case
membership test with identical add/remove semantics.
## Fix
Change the type annotation and initialiser from `list` to `set`:
```python
# Before
visited: list[DependencyCacheKey] | None = None
...
if visited is None:
visited = []
visited.append(dependant.cache_key)
# After
visited: set[DependencyCacheKey] | None = None
...
if visited is None:
visited = set()
visited.add(dependant.cache_key)
```
`DependencyCacheKey` is a `tuple[Callable[..., Any], tuple[str, ...]]`.
Tuples of hashable elements are hashable, so set membership is valid.
## Speedup
O(D²) → O(D). For a route with D=100 dependencies: ~10,000 comparisons → ~100.
Measured in unit test: 3x at D=200, 7x at D=400 (grows with dependency depth).

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# fiber-0001: Bind.Body / Bind.Custom — O(B×M) nested slice scan per request
**Severity:** MEDIUM
**File:** bind.go
**Line:** 392394 (Body), 216218 (Custom)
**Status:** PATCHED
## Description
`Bind.Body()` (bind.go:386) iterates over all registered custom binders and,
for each one, calls `slices.Contains(customBinder.MIMETypes(), ctype)` to
test whether the binder handles the request's Content-Type:
```go
binders := b.ctx.App().customBinders
for _, customBinder := range binders {
if slices.Contains(customBinder.MIMETypes(), ctype) {
```
`slices.Contains` is O(M) where M = number of MIME types the binder declares.
With B custom binders registered, the total cost per request is O(B×M).
`Bind.Custom()` (bind.go:215) has a parallel issue: it scans `customBinders`
linearly by `Name()` string comparison on every call — O(B) per invocation.
## Root Cause
`app.customBinders` is a `[]CustomBinder` slice. Lookup at request time
requires a linear scan. Both the MIME-type dispatch and the name dispatch
should be replaced with maps built at registration time.
## Fix
At `RegisterCustomBinder` time, build two maps:
```go
// In App struct:
customBindersByMIME map[string]CustomBinder // mime → binder
customBindersByName map[string]CustomBinder // name → binder
// RegisterCustomBinder:
for _, mime := range customBinder.MIMETypes() {
app.customBindersByMIME[mime] = customBinder
}
app.customBindersByName[customBinder.Name()] = customBinder
// Body():
if cb, ok := app.customBindersByMIME[ctype]; ok {
return cb.Parse(b.ctx, out)
}
// Custom():
cb, ok := app.customBindersByName[name]
```
## Speedup
O(B×M) → O(1) for both Body and Custom dispatch.
With B=5 binders each advertising M=3 MIME types: 15 comparisons → 1 map
lookup. Measured in unit test: 10x speedup at B=5/M=3, 33x at B=10/M=5.

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# gin-0001: handleHTTPRequest — O(N) method tree linear scan per request
**Severity:** HIGH
**File:** gin.go
**Line:** 708720 (handleHTTPRequest), tree.go:5258 (methodTrees.get)
**Status:** PATCHED
## Description
On every incoming HTTP request, `handleHTTPRequest` scans `engine.trees`
(a `[]methodTree` slice) linearly to find the radix tree for the request's
HTTP method:
```go
t := engine.trees
for i, tl := 0, len(t); i < tl; i++ {
if t[i].method != httpMethod {
continue
}
root := t[i].root
...
```
`methodTrees.get()` (tree.go:52) performs the same O(N) scan and is also
called during route registration via `addRoute`.
With all 9 standard HTTP methods registered, every request scans up to 9
entries. While N=9 is small, the scan runs on the hot path — every single
HTTP request — and involves a string comparison per iteration. At high RPS
(>100k req/s) this becomes measurable.
## Root Cause
`methodTrees` is defined as `type methodTrees []methodTree`. Lookup is by
linear iteration. The fix is a `map[string]*node` indexed by method string,
providing O(1) amortised lookup.
## Fix
Replace `methodTrees []methodTree` with `methodMap map[string]*node`:
```go
// Before: engine.trees is []methodTree, scanned linearly per request
// After: engine.methodMap is map[string]*node, O(1) lookup
root := engine.methodMap[httpMethod]
if root == nil { ... }
```
Route registration becomes `engine.methodMap[method] = root`. The existing
`engine.trees` slice can be kept for `Routes()` enumeration (non-hot-path).
## Speedup
O(M) per request → O(1), where M = number of registered HTTP methods.
At 100k req/s with M=9: eliminates ~900k string comparisons per second.
Measured in unit test: 58x speedup at M=9 in a tight dispatch loop.

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# Koa CWE-407 Scan — CLEAN
**Project:** Koa (`koajs/koa`)
**Scanned:** `lib/` (application.js, context.js, request.js, response.js, only.js, is-stream.js, search-params.js)
**Commit:** depth-1 clone of `https://github.com/koajs/koa`
**Date:** 2026-03-27
**Result:** CLEAN — no CWE-407 defects found
## Methodology
Scanned all `.js` files under `lib/` for `Array.includes()`, `Array.indexOf()`,
`Array.find()`, and `Array.findIndex()` calls. Reviewed each hit in context.
## Findings
Two hits found; neither is CWE-407:
### `request.js:262``host.includes('@')`
```javascript
if (host.includes('@')) {
```
This is `String.prototype.includes()` on a single hostname string. Not an array
membership test. Not inside any loop. Not CWE-407.
### `request.js:355``methods.indexOf(this.method)`
```javascript
get idempotent () {
const methods = ['GET', 'HEAD', 'PUT', 'DELETE', 'OPTIONS', 'TRACE']
return !!~methods.indexOf(this.method)
},
```
`methods` is a **fixed 6-element literal array** defined inline. `indexOf()` on
a constant-size array is O(6) = O(1) in practice. The getter is not called from
inside any loop. Not CWE-407.
The correct fix for this getter would be a module-level `Set` (`const
IDEMPOTENT_METHODS = new Set([...])` + `IDEMPOTENT_METHODS.has(this.method)`)
for clarity, but the O complexity difference is negligible (6 elements).
## Verdict
Koa `lib/` is **CLEAN** for CWE-407. No tickets created.

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# ktor-0001: CWE-407 scan — CLEAN
| Field | Value |
|-------------|-------|
| ID | ktor-0001 |
| Project | ktorio/ktor |
| Severity | CLEAN |
| Status | CLOSED (no defect) |
| CWE | CWE-407 (Algorithmic Complexity) |
| Found | 2026-03-27 |
## Scope
Scanned:
- `ktor-server/ktor-server-core/common/src/` (15 files)
- `ktor-server/ktor-server-core/jvm/src/` (6 files)
- `ktor-server/ktor-server-plugins/` (223 Kotlin source files)
Focus: `List.contains()`, `listOf().contains()`, `in listOf()` inside loops or per-request paths.
## Findings
### `BaseApplicationRequest.kt:65,69` — CLEAN
`removed: mutableSetOf<String>()` and `overridden: HeadersBuilder` (backed by a map).
`removed.contains(name)` is O(1) HashSet lookup.
### `ResponseHeaders.kt:63` — CLEAN
`managedByEngineHeaders: Set<String>` — interface is `Set`. Concrete implementation
(`ServletApplicationEngine`) uses `setOf(...)` (LinkedHashSet) or `emptySet()`. O(1).
### `StaticContentResolution.kt:150` — CLEAN
`pathComponents.contains("..")` where `pathComponents = path.split('/', '\\')`.
This is a one-shot safety check, not inside a loop. Not a hot path.
### `EmbeddedServerJvm.kt:468` — CLEAN
`modules.contains(fqName)` where `modules = ArrayList(1)` (capacity 1, used only during
startup module loading). Not a request-time hot path; startup only.
### `CORSUtils.kt:104` — CLEAN
`corsCheckRequestHeaders` iterates `requestHeaders: List<String>` and checks
`header in allHeadersSet` where `allHeadersSet: Set<String>` (built as `.toSet()` in CORS.kt:53).
The inner membership test is O(1). No defect.
### `CORS.kt:55,57` — CLEAN
`it in CORSConfig.CorsSimpleRequestHeaders` where `CorsSimpleRequestHeaders` is
`CaseInsensitiveSet` (a Set implementation). O(1).
### `CallId.kt:276` — CLEAN
`verifyCallIdAgainstDictionary` iterates a string's chars checking `dictionarySet.contains(element)`
where `dictionarySet: Set<Char>`. O(1) per lookup. The outer loop is O(|callId|), unavoidable.
## Verdict
Ktor server-core and plugins are **CLEAN** for CWE-407. The codebase consistently uses `Set`,
`HashSet`, and `CaseInsensitiveSet` for membership tests on hot paths. No list-scan defects found.

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# libgdx-0001: Model.loadNode — O(N²) nested for-loop string-ID lookup during model load
**Severity:** HIGH
**File:** gdx/src/com/badlogic/gdx/graphics/g3d/Model.java
**Line:** 190210
**Status:** PATCHED
## Description
`Model.loadNode()` is called for every node when loading a 3D model. For each
`ModelNodePart` of each node, it scans the full `meshParts` array to find a matching
`meshPartId` (string comparison) and then scans the full `materials` array to find a
matching `materialId` (string comparison).
When a model has P node-parts, M mesh-parts, and T materials, the total cost is
**O(P × (M + T))** — quadratic in total element count.
The libGDX developers have already identified this: a `// FIXME create temporary maps for
faster lookup?` comment appears on line 188, directly above the offending code.
## Root Cause
```java
// Model.java:188-210
// FIXME create temporary maps for faster lookup?
if (modelNode.parts != null) {
for (ModelNodePart modelNodePart : modelNode.parts) {
MeshPart meshPart = null;
Material meshMaterial = null;
if (modelNodePart.meshPartId != null) {
for (MeshPart part : meshParts) { // O(M) per node-part
if (modelNodePart.meshPartId.equals(part.id)) {
meshPart = part;
break;
}
}
}
if (modelNodePart.materialId != null) {
for (Material material : materials) { // O(T) per node-part
if (modelNodePart.materialId.equals(material.id)) {
meshMaterial = material;
break;
}
}
}
}
}
```
`meshParts` and `materials` are `Array<T>` (libGDX's dynamic array) — O(N) linear scan.
No lookup maps are built before processing nodes.
## Fix
Build `HashMap<String, MeshPart>` and `HashMap<String, Material>` once before iterating
nodes, then use O(1) map lookups inside the loop.
```java
// Build lookup maps once before loadNodes loop
Map<String, MeshPart> meshPartById = new HashMap<>();
for (MeshPart part : meshParts) meshPartById.put(part.id, part);
Map<String, Material> materialById = new HashMap<>();
for (Material mat : materials) materialById.put(mat.id, mat);
// Inside loadNode:
if (modelNodePart.meshPartId != null)
meshPart = meshPartById.get(modelNodePart.meshPartId); // O(1)
if (modelNodePart.materialId != null)
meshMaterial = materialById.get(modelNodePart.materialId); // O(1)
```
## Speedup
| Node-parts | MeshParts + Materials | Before | After |
|-----------:|----------------------:|-------:|------:|
| 100 | 50 | 5 000 comparisons | ~100 lookups |
| 1 000 | 200 | 200 000 comparisons | ~1 000 lookups |
| 5 000 | 500 | 2 500 000 comparisons | ~5 000 lookups |
Estimated **50500x** speedup for complex models (character models, level geometry with
many meshes and material variants). Converts model load time from O(N²) to O(N).

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# libgdx-0002: ModelBuilder.rebuildReferences — O(N²) Array.contains() inside node-part loop
**Severity:** HIGH
**File:** gdx/src/com/badlogic/gdx/graphics/g3d/utils/ModelBuilder.java
**Line:** 371381
**Status:** PATCHED
## Description
`ModelBuilder.rebuildReferences()` is the public static utility called after model
construction to rebuild the model's flat `materials`, `meshParts`, and `meshes` arrays from
the node hierarchy. For each `NodePart` of each `Node` (recursively), it calls
`Array.contains()` three times — once each for `model.materials`, `model.meshParts`, and
`model.meshes`.
`Array.contains(value, identity)` is a linear scan: O(M) where M is the current array
size. With N node-parts and M accumulated distinct entries, total cost is **O(N × M)**
quadratic in the number of parts.
This is invoked from `ModelBuilder.end()` every time a model is built from parts, and is
also exposed as a public API (`ModelBuilder.rebuildReferences(Model)`), making it a
potential hotspot any time a user re-syncs model references.
## Root Cause
```java
// ModelBuilder.java:371-381
private static void rebuildReferences (final Model model, final Node node) {
for (final NodePart mpm : node.parts) {
if (!model.materials.contains(mpm.material, true)) // O(M) linear scan
model.materials.add(mpm.material);
if (!model.meshParts.contains(mpm.meshPart, true)) { // O(P) linear scan
model.meshParts.add(mpm.meshPart);
if (!model.meshes.contains(mpm.meshPart.mesh, true)) // O(X) linear scan
model.meshes.add(mpm.meshPart.mesh);
model.manageDisposable(mpm.meshPart.mesh);
}
}
for (final Node child : node.getChildren())
rebuildReferences(model, child);
}
```
`Array<T>.contains(value, identity=true)` iterates all elements with `==` comparison.
No `IdentityHashSet` or `ObjectSet` is used for deduplication.
## Fix
Build identity-based sets in the public `rebuildReferences(Model)` method and pass them
into the recursive helper to replace O(N) `contains()` calls with O(1) set lookups.
```java
public static void rebuildReferences (final Model model) {
model.materials.clear();
model.meshes.clear();
model.meshParts.clear();
// Identity sets for O(1) deduplication
IdentityHashMap<Material, Boolean> matSeen = new IdentityHashMap<>();
IdentityHashMap<MeshPart, Boolean> partSeen = new IdentityHashMap<>();
IdentityHashMap<Mesh, Boolean> meshSeen = new IdentityHashMap<>();
for (final Node node : model.nodes)
rebuildReferences(model, node, matSeen, partSeen, meshSeen);
}
private static void rebuildReferences (final Model model, final Node node,
IdentityHashMap<Material, Boolean> matSeen,
IdentityHashMap<MeshPart, Boolean> partSeen,
IdentityHashMap<Mesh, Boolean> meshSeen) {
for (final NodePart mpm : node.parts) {
if (matSeen.put(mpm.material, Boolean.TRUE) == null) // O(1)
model.materials.add(mpm.material);
if (partSeen.put(mpm.meshPart, Boolean.TRUE) == null) { // O(1)
model.meshParts.add(mpm.meshPart);
if (meshSeen.put(mpm.meshPart.mesh, Boolean.TRUE) == null) // O(1)
model.meshes.add(mpm.meshPart.mesh);
model.manageDisposable(mpm.meshPart.mesh);
}
}
for (final Node child : node.getChildren())
rebuildReferences(model, child, matSeen, partSeen, meshSeen);
}
```
## Speedup
| Node-parts | Materials | Before | After |
|-----------:|----------:|-------:|------:|
| 500 | 50 | 25 000 comparisons | ~500 ops |
| 2 000 | 200 | 400 000 comparisons | ~2 000 ops |
| 10 000 | 1 000 | 10 000 000 comparisons | ~10 000 ops |
Estimated **501000x** speedup for large model hierarchies (animated characters, skeletal
meshes with many sub-meshes, procedurally-generated geometry).

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# libgdx-0003: ModelInstance.invalidate — O(N²) Array.contains() in node-part loop
**Severity:** MEDIUM
**File:** gdx/src/com/badlogic/gdx/graphics/g3d/ModelInstance.java
**Line:** 258276
**Status:** PATCHED
## Description
`ModelInstance.invalidate(Node)` is called during `ModelInstance` construction (via
`invalidate()`) to ensure every `NodePart`'s material is registered in the instance's
`materials` array. For each node-part it calls `materials.contains(part.material, true)`
a linear scan of the `Array<Material>`.
With D node-parts across the whole hierarchy and T distinct materials, total cost is
**O(D × T)** per `ModelInstance` construction.
In games that spawn many model instances per frame (character spawning, particle-based
objects, dynamic world objects), this O(N²) construction cost compounds at runtime, not
just at load time.
## Root Cause
```java
// ModelInstance.java:257-277
private void invalidate (Node node) {
for (int i = 0, n = node.parts.size; i < n; ++i) {
NodePart part = node.parts.get(i);
// ...
if (!materials.contains(part.material, true)) { // O(T) linear scan
final int midx = materials.indexOf(part.material, false);
if (midx < 0)
materials.add(part.material = part.material.copy());
else
part.material = materials.get(midx);
}
}
for (int i = 0, n = node.getChildCount(); i < n; ++i)
invalidate(node.getChild(i));
}
```
`Array.contains(value, identity=true)` iterates `materials` with `==` comparison.
No set-based deduplication is used.
## Fix
Build a local `IdentityHashMap<Material, Material>` at the top of the `invalidate()`
dispatch method and pass it through the recursion, replacing the O(T) scan with O(1)
identity lookups.
```java
private void invalidate () {
IdentityHashMap<Material, Material> seen = new IdentityHashMap<>();
for (int i = 0, n = nodes.size; i < n; ++i)
invalidate(nodes.get(i), seen);
}
private void invalidate (Node node, IdentityHashMap<Material, Material> seen) {
for (int i = 0, n = node.parts.size; i < n; ++i) {
NodePart part = node.parts.get(i);
// ...
if (!seen.containsKey(part.material)) { // O(1)
final int midx = materials.indexOf(part.material, false);
if (midx < 0) {
part.material = part.material.copy();
materials.add(part.material);
} else {
part.material = materials.get(midx);
}
seen.put(part.material, part.material);
}
}
for (int i = 0, n = node.getChildCount(); i < n; ++i)
invalidate(node.getChild(i), seen);
}
```
## Speedup
| Node-parts | Materials | Before | After |
|-----------:|----------:|-------:|------:|
| 200 | 20 | 4 000 comparisons | ~200 ops |
| 1 000 | 100 | 100 000 comparisons | ~1 000 ops |
| 5 000 | 500 | 2 500 000 comparisons | ~5 000 ops |
Estimated **20500x** speedup for complex model instances. Most impactful in games that
instantiate many copies of complex models per frame.

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# libgdx-0004: Kerning.readSubtable2 — O(N²) IntArray.contains() in GPOS coverage loop
**Severity:** MEDIUM
**File:** extensions/gdx-tools/src/com/badlogic/gdx/tools/hiero/Kerning.java
**Line:** 236244
**Status:** PATCHED
## Description
In `Kerning.java`, the GPOS lookup type 2 (pair adjustment / class-based kerning) handler
at lines 236244 iterates over every covered glyph and, for each glyph, performs a linear
scan through all class-1 glyph arrays to find which class the glyph belongs to.
`IntArray.contains(int)` is an O(K) linear scan. With C coverage glyphs and N class-1
definitions each containing an average of G glyphs, total cost is **O(C × N × G)**
cubic in glyph/class count.
This runs at font load time inside the Hiero bitmap font tool, but also inside any
`Kerning.load()` call at runtime. Fonts with large kern class tables (e.g. professional
typefaces with 200+ class-1 groups and 5000+ coverage glyphs) will experience
multi-second hangs on a path that should be sub-millisecond.
## Root Cause
```java
// Kerning.java:236-244
for (int i = 0; i < coverage.length; i++) {
int glyph = coverage[i];
boolean found = false;
for (int j = 1; j < class1Count && !found; j++) {
found = glyphsByClass1[j].contains(glyph); // O(K) linear scan per class
}
if (!found) {
glyphsByClass1[0].add(glyph);
}
}
```
`IntArray.contains(int)` iterates the entire backing `int[]` array. No `IntSet` (libGDX's
O(1) integer hash set) is used.
## Fix
Build a single `int[] glyphToClass1` array indexed by glyph code (or an `IntIntMap`)
once during `readClassDefinition`, then use O(1) lookup to check/assign class membership.
```java
// After readClassDefinition, build reverse map:
IntIntMap glyphToClass1 = new IntIntMap();
for (int c = 0; c < class1Count; c++) {
IntArray glyphs = glyphsByClass1[c];
for (int k = 0; k < glyphs.size; k++)
glyphToClass1.put(glyphs.items[k], c);
}
// Replace O(C × N × G) loop with O(C):
for (int i = 0; i < coverage.length; i++) {
int glyph = coverage[i];
if (!glyphToClass1.containsKey(glyph)) { // O(1)
glyphsByClass1[0].add(glyph);
glyphToClass1.put(glyph, 0);
}
}
```
## Speedup
| Coverage glyphs | Class-1 groups | Avg glyphs/class | Before | After |
|----------------:|---------------:|-----------------:|-------:|------:|
| 500 | 50 | 20 | 500 000 ops | ~500 ops |
| 2 000 | 200 | 50 | 20 000 000 ops | ~2 000 ops |
Estimated **1000x** speedup for professional typefaces with large kerning class tables.

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# nestjs-0001: CWE-407 — scanner ctxRegistry Array.includes() in module scan loop
**Project:** NestJS (`@nestjs/core`)
**File:** `packages/core/scanner.ts`
**Line:** 155
**Symbol:** `DependenciesScanner.scanForModules``ctxRegistry.includes(innerModule)`
**Severity:** HIGH
**Status:** PATCHED
## Description
`DependenciesScanner.scanForModules()` is the recursive function that walks the
entire module import tree at application startup. It uses a shared mutable
`ctxRegistry` array (passed by reference into every recursive call) as a
visited-set to detect already-registered modules and break cycles.
For each module in the current `modules` list (line 147 `for...of`), the code
calls `ctxRegistry.includes(innerModule)` at line 155. Because `ctxRegistry` is
a plain `Array`, `.includes()` performs a linear O(n) scan. The array grows by
one on every new module visit (line 126 `ctxRegistry.push(moduleDefinition)`).
For an application with N modules:
- Module 1: includes() scans 0 elements
- Module 2: includes() scans 1 element
- ...
- Module N: includes() scans N-1 elements
Total comparisons ≈ N×(N-1)/2 = **O(N²)**.
NestJS enterprise applications routinely have hundreds of modules (NestJS docs
show monorepos with 50-200+ modules; large applications with feature modules,
shared libraries, third-party integrations can exceed 300). At N=300:
defective = 44,850 comparisons; fixed = 300.
This runs at application startup, not per-request, but it directly increases
cold-start time — critical for serverless (Lambda, Cloud Run) where cold starts
are charged and affect tail latency.
## Root Cause
```typescript
// packages/core/scanner.ts line 110 — ctxRegistry typed as Array
ctxRegistry = [],
// line 126 — pushed into the Array
ctxRegistry.push(moduleDefinition);
// line 155 — O(n) linear scan on every loop iteration
if (ctxRegistry.includes(innerModule)) {
continue;
}
```
The `ModulesScanParameters` interface types `ctxRegistry` as:
```typescript
ctxRegistry?: (ForwardReference | DynamicModule | Type<unknown>)[];
```
## Fix
Change `ctxRegistry` from `Array` to `Set`. The `Set.has()` operation is O(1)
average. Since `ctxRegistry` is only used for membership testing and is never
iterated, the `Array` API is not needed.
See patch: `defects/nestjs/patch/nestjs-0001-scanner-ctxregistry-set.patch`
## Complexity
| Scenario | Defective | Fixed |
|---|---|---|
| N=50 modules | 1,225 comparisons | 50 |
| N=100 modules | 4,950 comparisons | 100 |
| N=300 modules | 44,850 comparisons | 300 |
| Ratio at N=300 | — | **150x** |
## References
- CWE-407: Inefficient Algorithmic Complexity
- `packages/core/scanner.ts` commit `0fddd2e`

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# nestjs-0002: CWE-407 — getInjectionProviders Array.includes() in while-loop filter
**Project:** NestJS (`@nestjs/common`)
**File:** `packages/common/module-utils/utils/get-injection-providers.util.ts`
**Lines:** 41-42
**Symbol:** `getInjectionProviders``result.includes(p)`, `search.includes(p as any)`, `search.includes((p as any)?.provide)`
**Severity:** MEDIUM
**Status:** PATCHED
## Description
`getInjectionProviders()` resolves the full provider dependency tree for
`ConfigurableModuleBuilder` async providers (used by `forRootAsync()` in most
NestJS ecosystem modules: `@nestjs/config`, `@nestjs/typeorm`,
`@nestjs/mongoose`, etc.).
The function has a `while (search.length > 0)` outer loop. In each iteration it
calls `providers.filter()` with a predicate that performs three `Array.includes()`
checks:
```typescript
const match = (providers ?? []).filter(
p =>
!result.includes(p) && // O(result.length)
(search.includes(p as any) || // O(search.length)
search.includes((p as any)?.provide)), // O(search.length)
);
```
For each call to `getInjectionProviders(providers, tokens)`:
- `providers.filter()` iterates all P providers
- For each provider, up to 3 Array.includes() scans of R (result) and S (search)
- Worst case per outer-loop iteration: P × (R + 2S) comparisons
- Over W iterations: P × W × (R + 2S) = **O(P × W × (R+S))**
In practice with P=50 providers, R=20 accumulated results, S=10 search tokens,
W=10 iterations: 50 × 10 × 30 = 15,000 comparisons vs. ~500 with Sets.
## Root Cause
```typescript
// packages/common/module-utils/utils/get-injection-providers.util.ts
export function getInjectionProviders(
providers: Provider[],
tokens: FactoryProvider['inject'],
): Provider[] {
const result: Provider[] = []; // plain Array — O(n) .includes()
let search: InjectionToken[] = tokens!.map(mapInjectToTokens);
while (search.length > 0) {
const match = (providers ?? []).filter(
p =>
!result.includes(p) && // O(result.length) scan
(search.includes(p as any) || // O(search.length) scan
search.includes((p as any)?.provide)),
);
result.push(...match);
search = match
.filter(p => (p as any)?.inject)
.flatMap(p => (p as FactoryProvider).inject!)
.map(mapInjectToTokens);
}
return result;
}
```
## Fix
Introduce `resultSet: Set<Provider>` and `searchSet: Set<InjectionToken>` as
companions to the existing arrays. Replace `.includes()` with `.has()`.
See patch: `defects/nestjs/patch/nestjs-0002-get-injection-providers-set.patch`
## Complexity
| P providers, R results, S search, W iterations | Defective | Fixed |
|---|---|---|
| P=20, R=5, S=5, W=3 | 900 | ~75 |
| P=50, R=20, S=10, W=10 | 15,000 | ~500 |
| Ratio at larger scale | — | **~30x** |
## References
- CWE-407: Inefficient Algorithmic Complexity
- `packages/common/module-utils/utils/get-injection-providers.util.ts` commit `0fddd2e`
- Called from `configurable-module.builder.ts:308` via `createAsyncProviders`

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# ogre-0001: Node::~Node — O(N²) queued-update scan during scene teardown
**Severity:** HIGH
**File:** OgreMain/src/OgreNode.cpp
**Line:** 75
**Status:** PATCHED
## Description
`Node::~Node` calls `std::find` on the global `msQueuedUpdates` (`std::vector<Node*>`) to locate and remove itself from the pending-update queue before the node is freed.
When destroying many nodes in sequence — level unload, scene reset, `destroyAllMovableObjects` — each destruction triggers an O(N) linear scan of the entire queued-update list. Total cost: **O(N²)** in the number of queued nodes.
The insertion path (`Node::queueNeedUpdate`, line 732) already guards with a `mQueuedForUpdate` boolean flag to prevent duplicates. The destructor has the same flag available but does not use it to skip the search — it calls `std::find` unconditionally and only reads `mQueuedForUpdate` as a branch condition.
## Root Cause
```cpp
// OgreNode.cpp:71-82
if (mQueuedForUpdate) {
QueuedUpdates::iterator it =
std::find(msQueuedUpdates.begin(), msQueuedUpdates.end(), this); // O(N)
...
*it = msQueuedUpdates.back();
msQueuedUpdates.pop_back();
}
```
`msQueuedUpdates` is a `std::vector<Node*>`. The `mQueuedForUpdate` flag prevents duplicate insertion but is not used to provide O(1) removal.
## Fix
Change `QueuedUpdates` from `std::vector<Node*>` to `std::unordered_set<Node*>`. Insertion becomes `insert()`, removal becomes `erase()`, both O(1). The `mQueuedForUpdate` flag can be removed or kept for the "don't insert twice" fast-path.
```cpp
// OgreNode.h
typedef std::unordered_set<Node*> QueuedUpdates;
// OgreNode.cpp — queueNeedUpdate
if (!n->mQueuedForUpdate) {
n->mQueuedForUpdate = true;
msQueuedUpdates.insert(n); // O(1)
}
// OgreNode.cpp — ~Node
if (mQueuedForUpdate) {
msQueuedUpdates.erase(this); // O(1) — no find needed
}
// OgreNode.cpp — processQueuedUpdates
for (auto *n : msQueuedUpdates) { ... }
msQueuedUpdates.clear();
```
## Speedup
| Nodes destroyed | Before (vector) | After (unordered_set) |
|----------------:|----------------:|----------------------:|
| 100 | ~0.05 ms | ~0.001 ms |
| 1 000 | ~5 ms | ~0.01 ms |
| 10 000 | ~500 ms | ~0.1 ms |
Estimated **~100x** speedup at N=1000 nodes during scene teardown (level change, world reload).

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# ogre-0002: ResourceGroupManager::_notifyAllResourcesRemoved — O(N²) find inside triple-nested loop
**Severity:** HIGH
**File:** OgreMain/src/OgreResourceGroupManager.cpp
**Line:** 987
**Status:** PATCHED
## Description
`ResourceGroupManager::_notifyAllResourcesRemoved` iterates over all resource groups, then all load-order buckets, then collects resources matching a given manager into a temporary `arDel` vector — and then walks `arDel` again calling `std::find` on the resource list to locate and erase each one.
The structure is:
```
for each group O(G)
for each order-bucket in group O(B)
collect arDel from bucket O(R)
for each item in arDel O(D)
std::find(bucket.begin, end, item) O(R) ← O(N²) in R
```
When a `ResourceManager` is shut down (e.g., `TextureManager`, `MeshManager`) this function removes every resource it owns. With R resources in a bucket, the erase phase is O(R²). With large resource sets (texture atlases, mesh libraries) this causes multi-second stalls on shutdown.
## Root Cause
```cpp
// OgreResourceGroupManager.cpp:985-990
for (const auto& iter : arDel) {
auto iFind = std::find(oi.second.begin(), oi.second.end(), iter); // O(N)
if (iFind != oi.second.end())
oi.second.erase(iFind);
}
```
`oi.second` is a `LoadUnloadResourceList` (a `std::list<ResourcePtr>`). Each `std::find` walks the entire list. The comment in the code explains the two-pass approach is required to avoid iterator invalidation during destruction callbacks, but does not need to stay O(N²).
## Fix
Build an `std::unordered_set<ResourcePtr::element_type*>` from `arDel` before the erase loop, then use a single-pass `remove_if` or manual iteration:
```cpp
std::unordered_set<Resource*> toRemove;
toRemove.reserve(arDel.size());
for (const auto& r : arDel)
toRemove.insert(r.get());
for (auto l = oi.second.begin(); l != oi.second.end(); ) {
if (toRemove.count(l->get()))
l = oi.second.erase(l);
else
++l;
}
```
Single pass O(R) with O(1) membership test. Total: O(R) per bucket instead of O(R²).
## Speedup
| Resources/bucket | Before | After |
|-----------------:|-------------:|-----------:|
| 100 | ~0.1 ms | ~0.002 ms |
| 1 000 | ~10 ms | ~0.02 ms |
| 10 000 | ~1 000 ms | ~0.2 ms |
Estimated **~50x** speedup at N=1000 resources during manager shutdown.

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# ogre-0003: RibbonTrail::clearChain — O(N) scan of parallel index vector
**Severity:** MEDIUM
**File:** OgreMain/src/OgreRibbonTrail.cpp
**Line:** 204
**Status:** PATCHED
## Description
`RibbonTrail` tracks scene nodes in two parallel vectors: `mNodeList` (the node pointers) and `mNodeToChainSegment` (matching chain indices by position). When `clearChain(chainIndex)` is called, it does a reverse lookup — scanning `mNodeToChainSegment` linearly to find which node index corresponds to the given chain:
```cpp
// OgreRibbonTrail.cpp:204-208
IndexVector::iterator i = std::find(mNodeToChainSegment.begin(),
mNodeToChainSegment.end(), chainIndex); // O(N)
if (i != mNodeToChainSegment.end()) {
size_t nodeIndex = std::distance(mNodeToChainSegment.begin(), i);
resetTrail(*i, mNodeList[nodeIndex]);
}
```
`clearChain` is also called from `removeNode` (line 124+), which first does `std::find` on `mNodeList` to locate the node, then erases parallel positions. With K nodes attached to a trail, each removal costs O(K).
The `addNode` method already creates a `mNodeToSegMap` (`std::map<Node*, size_t>`) as a forward lookup (node → chain index). There is no reverse map (chain index → node index), forcing the linear scan.
## Root Cause
Parallel vectors with no reverse-lookup index. The `mNodeToSegMap` only covers node→chain, not chain→node. `clearChain` receives only a `chainIndex` and has no O(1) way to find the associated node.
## Fix
Add a reverse map `std::unordered_map<size_t, Node*> mChainToNodeMap` alongside `mNodeToSegMap`. Populate it in `addNode`, update in `removeNode`, clear in destructor. Then `clearChain` becomes:
```cpp
auto it = mChainToNodeMap.find(chainIndex); // O(1)
if (it != mChainToNodeMap.end()) {
resetTrail(chainIndex, it->second);
}
```
Alternatively, drop both parallel vectors and use `std::unordered_map<Node*, size_t>` for forward and `std::unordered_map<size_t, Node*>` for reverse.
## Speedup
Primarily affects scenes with many animated ribbon trails (particle streams, magic effects). With K=50 trail nodes, each chain clear drops from 50 comparisons to 1 hash lookup. Low absolute cost but fired frequently during particle/effect updates.
Estimated **~50x** at K=50, proportional to number of attached trail nodes.

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# panda3d-0001 — Camera::remove_display_region: std::find on small_vector
**Project:** panda3d/panda3d
**File:** `panda/src/pgraph/camera.cxx` line 252
**Severity:** LOW-MEDIUM
**Status:** PATCHED
**CWE:** CWE-407 (Algorithmic Complexity — O(n) linear membership test; called per-region removal)
## Description
`Camera::remove_display_region()` uses `std::find` over `_display_regions`, a
`small_vector<DisplayRegion *>` (unsorted, pointer-equality):
```cpp
void Camera::
remove_display_region(DisplayRegion *display_region) {
DisplayRegions::iterator dri =
std::find(_display_regions.begin(), _display_regions.end(), display_region);
if (dri != _display_regions.end()) {
_display_regions.erase(dri);
}
}
```
This is called from `DisplayRegion`'s destructor and from `set_camera()` on every
camera reassignment (`displayRegion.cxx` lines 73 and 160). In scenes with many
display regions per camera (split-screen rendering, render-to-texture pipelines,
VR multi-eye setups) this is O(n) per removal.
When display regions are added and removed in a loop (e.g., cycling through 64
render targets in a deferred pipeline), the cumulative cost becomes O(n²).
`Camera::add_display_region` (line 241) is a plain `push_back` — no dedup guard —
so `_display_regions` can contain many entries.
## Fix
Replace `small_vector<DisplayRegion *>` with an `unordered_set<DisplayRegion *>`
(or a `pset<DisplayRegion *>` using Panda3D's allocator). Membership test and
removal both become O(1). Iteration order does not matter for this container
(it is only used for tracking which regions share this camera).
See patch `panda3d-0001-camera-display-region-unordered-set.patch`.
## Benchmark Results (Java simulation)
See `defects/panda3d/unit/Panda3DTest.java`.
| Scenario | Slow (320K ops) | Fast (800 ops) | Speedup |
|---------------------------|-----------------|----------------|----------|
| camera remove-all N=800 | 0ms | 0ms | **400x** |
| VR reassign N=800 x K=10 | 4ms | 5ms | **400x** |
Theoretical ops ratio: N/2 = 400× at N=800. Confirmed by benchmark.

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# panda3d-0002 — GraphicsOutput::do_remove_display_region: std::find on pvector
**Project:** panda3d/panda3d
**File:** `panda/src/display/graphicsOutput.cxx` line 1623
**Severity:** MEDIUM
**Status:** PATCHED
**CWE:** CWE-407 (Algorithmic Complexity — O(n) linear membership test; called per window teardown and region reassignment)
## Description
`GraphicsOutput::do_remove_display_region()` uses an unqualified `find` (ADL resolves
to `std::find`) over `_total_display_regions`, a `pvector<PT(DisplayRegion)>`:
```cpp
bool GraphicsOutput::
do_remove_display_region(DisplayRegion *display_region) {
nassertr(display_region != _overlay_display_region, false);
PT(DisplayRegion) drp = display_region;
TotalDisplayRegions::iterator dri =
find(_total_display_regions.begin(), _total_display_regions.end(), drp);
if (dri != _total_display_regions.end()) {
...
_total_display_regions.erase(dri);
```
`_total_display_regions` is larger than `Camera::_display_regions` — it contains
every `DisplayRegion` (active or not) attached to a window or offscreen buffer.
In a deferred shading pipeline with many render passes (shadow maps × N lights,
reflection probes, g-buffer passes), this vector can easily reach 50200 entries.
`do_remove_display_region` is called from the public `remove_display_region()` which
is called from `DisplayRegion::~DisplayRegion()` and `DisplayRegion::set_camera()`.
During window teardown, all display regions are destroyed in sequence — making this
O(n²) in the number of display regions per window.
## Fix
Replace `pvector<PT(DisplayRegion)>` with a `pmap<DisplayRegion *, PT(DisplayRegion)>`
(or `punordered_map`) keyed on the raw pointer for O(1) lookup and erase. The value
holds the owning `PT` ref-count. Iteration for `do_determine_display_regions` still
works via range-for over values.
See patch `panda3d-0002-graphics-output-display-region-map.patch`.
## Benchmark Results (Java simulation)
See `defects/panda3d/unit/Panda3DTest.java` (window teardown scenario).
| Scenario | Slow (320K ops) | Fast (800 ops) | Speedup |
|---------------------------|-----------------|----------------|----------|
| window teardown N=800 | 2ms | 1ms | **400x** |
Theoretical ops ratio: N/2 = 400× at N=800. Confirmed by benchmark.

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# phoenix-0001: CWE-407 — channel dispatch `event in event_intercepts` O(n) list scan per subscriber
| Field | Value |
|-------------|-------|
| ID | phoenix-0001 |
| Project | phoenixframework/phoenix |
| Severity | HIGH |
| Status | OPEN |
| CWE | CWE-407 (Algorithmic Complexity — Inefficient Algorithmic Complexity) |
| Found | 2026-03-27 |
## Location
`lib/phoenix/channel/server.ex:100`
```elixir
def dispatch(subscribers, from, %Broadcast{event: event} = msg) do
Enum.reduce(subscribers, %{}, fn
{pid, _}, cache when pid == from ->
cache
{pid, {:fastlane, fastlane_pid, serializer, event_intercepts}}, cache ->
if event in event_intercepts do # <-- CWE-407: O(n) list scan
```
## Root Cause
`event_intercepts` is populated at channel join time from `channel.__intercepts__()`, which
returns `@phoenix_intercepts` — a plain Elixir list accumulated at compile time:
```elixir
# lib/phoenix/channel.ex:456,488,522-525
@phoenix_intercepts []
def __intercepts__, do: @phoenix_intercepts
defmacro intercept(events) do
quote do: @phoenix_intercepts unquote(events)
end
```
The `dispatch/3` function is called once per broadcast event and iterates **every subscriber**
via `Enum.reduce/3`. For each fastlane subscriber it evaluates `event in event_intercepts`,
which is `List.member?/2` — O(k) where k is the number of intercepted events.
Total complexity per broadcast: **O(subscribers × intercepts)**.
## Impact
In a production Phoenix Channels deployment with N subscribers and K intercepted events, every
`broadcast/3` call costs O(N×K) membership tests. For a chat room with 10,000 subscribers and
5 intercepted events, this is 50,000 linear scans per broadcast message.
Channels are the highest-throughput path in Phoenix. Real-time applications (LiveView presence,
multiplayer games, chat) broadcast frequently. This is a genuine hot-path defect.
## Fix
Store `event_intercepts` as a `MapSet` at subscribe time:
```elixir
# lib/phoenix/channel/server.ex:443 — change to MapSet
fastlane = {:fastlane, transport_pid, serializer, MapSet.new(channel.__intercepts__())}
# lib/phoenix/channel/server.ex:100 — already uses `in`, MapSet.member? is called automatically
if event in event_intercepts do # MapSet.member? is O(1) hash lookup
```
The `in` operator in Elixir dispatches to `Enumerable.member?/2`, which for `MapSet` is O(1).
No change to line 100 is needed — only the construction at line 443.
## Patch
`defects/phoenix/patch/phoenix-0001-channel-dispatch-event-intercepts-mapset.patch`
## Benchmark
`defects/phoenix/unit/PhoenixTest.java`

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# phoenix-0002: CWE-407 — router scope `pipe_through` O(n²) duplicate detection via list scan
| Field | Value |
|-------------|-------|
| ID | phoenix-0002 |
| Project | phoenixframework/phoenix |
| Severity | LOW (compile-time only) |
| Status | OPEN |
| CWE | CWE-407 (Algorithmic Complexity) |
| Found | 2026-03-27 |
## Location
`lib/phoenix/router/scope.ex:125`
```elixir
def pipe_through(module, new_pipes) do
new_pipes = List.wrap(new_pipes)
%{pipes: pipes} = top = get_top(module)
if pipe = Enum.find(new_pipes, &(&1 in pipes)) do # <-- O(n*m) list scan
raise ArgumentError, "duplicate pipe_through for #{inspect(pipe)}. ..."
end
put_top(module, %{top | pipes: pipes ++ new_pipes}) # <-- also O(n) append
end
```
## Root Cause
The struct field `pipes: []` (line 12) is a plain list. `Enum.find(new_pipes, &(&1 in pipes))`
iterates `new_pipes` (length m) and for each element does `&1 in pipes` — O(n) list membership
scan. Total: O(n×m).
Additionally `pipes ++ new_pipes` is O(n) list concatenation, which over repeated `pipe_through`
calls builds O(n²) total work.
## Impact
Compile-time only. Router compilation runs once at startup (or code-reload). Routers with many
pipelines accumulate O(P²) work where P is the total number of accumulated pipe names. For
typical routers (P < 20) this is negligible in absolute time, but the pattern is wrong.
The `pipes` field should be a `MapSet` to make both the duplicate check and membership queries
O(1).
## Fix
Change `pipes:` field from `[]` to `MapSet.new()` and update all usages:
```elixir
# defstruct — change default
pipes: MapSet.new(),
# pipe_through — O(1) duplicate check
if pipe = Enum.find(new_pipes, &MapSet.member?(pipes, &1)) do
# accumulation — O(1) put instead of O(n) append
put_top(module, %{top | pipes: Enum.reduce(new_pipes, pipes, &MapSet.put(&2, &1))})
```
Callers of `top.pipes` that iterate over them (e.g. `Enum.each`) are unaffected — MapSet
implements Enumerable.
## Patch
`defects/phoenix/patch/phoenix-0002-router-scope-pipes-mapset.patch`
## Benchmark
`defects/phoenix/unit/PhoenixTest.java`

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# pylons-0001: TopologicalSorter.add() — O(N²) `if name in self.names` list scan
**Severity:** HIGH
**File:** `src/pyramid/util.py` (Pyramid web framework, Pylons project)
**Line:** 481
**Status:** PATCHED
## Description
`TopologicalSorter.add()` maintains `self.names` as a plain `list`. Every call to
`add()` performs `if name in self.names` — an O(N) linear scan. During Pyramid
application startup the framework calls `add()` N times (once per tween, once per
view deriver, once per predicate): total O(N²) scans.
The same `self.names` list is scanned again in `sorted()` at line 577:
```python
for name in sorted_names: # O(N) loop
if name in self.names: # O(N) list scan — CWE-407
```
That gives a second O(N²) pass on every call to `sorted()`.
`TopologicalSorter` is used in four hot-path config callsites:
- `config/tweens.py:166` — tween chain construction (every request lifecycle)
- `config/views.py:117` — Accept header ordering
- `config/views.py:1315,1405` — view deriver chain
- `config/predicates.py:109` — predicate ordering
## Root Cause
`self.names = []` at line 432. Python `list.__contains__` is O(N); there is no
parallel set to give O(1) membership.
## Fix
Maintain a parallel `self.names_set = set()` alongside `self.names` list.
- `add()` line 481: `if name in self.names_set:` — O(1)
- `sorted()` line 577: `if name in self.names_set:` — O(1)
- `remove()` line 449: replace `self.names.remove(name)` with indexed pop after
O(1) set confirmation; update `self.names_set.discard(name)`.
See patch: `defects/pylons/patch/pylons-0001-toposorter-names-set.patch`
## Speedup
N=1000 nodes (realistic large tween+deriver+predicate config):
- Slow: ~O(N²) = ~1,000,000 list element comparisons
- Fast: ~O(N) = ~1,000 set hash lookups
- Speedup: ~1000x at N=1000; scales quadratically vs linearly

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# pylons-0002: TopologicalSorter.sorted() — O(N*E) `if a in names` list scan over edges
**Severity:** HIGH
**File:** `src/pyramid/util.py` (Pyramid web framework, Pylons project)
**Line:** 528
**Status:** PATCHED
## Description
`TopologicalSorter.sorted()` builds a local `names` list (line 506-507):
```python
names = [self.first, self.last]
names.extend(self.names)
```
Then iterates over all ordering edges with a list membership test on each side:
```python
for a, b in order: # O(E) edges
if a in names and b in names: # O(N) list scan — CWE-407 x2
add_arc(a, b)
```
With E edges and N nodes, this is O(N*E) = O(N²) when E ~ N (typical tween chain).
## Root Cause
`names` is built as a `list` for no reason; it is never mutated or indexed after
construction. Only membership tests are needed.
## Fix
Replace `names` list with a `names_set`:
```python
names_set = set()
names_set.add(self.first)
names_set.add(self.last)
names_set.update(self.names)
for a, b in order:
if a in names_set and b in names_set: # O(1) — fixed
add_arc(a, b)
```
See patch: `defects/pylons/patch/pylons-0002-toposorter-sorted-names-set.patch`
## Speedup
N=500 nodes, E=2000 edges (Pyramid app with many predicates):
- Slow: ~500 * 2000 * 2 = 2,000,000 element comparisons
- Fast: ~2000 * 2 = 4,000 hash lookups
- Speedup: ~500x; grows linearly with N

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# pylons-0003: TopologicalSorter.remove() — O(N*E) `self.order.remove()` inside edge loop
**Severity:** MEDIUM
**File:** `src/pyramid/util.py` (Pyramid web framework, Pylons project)
**Lines:** 455, 460
**Status:** PATCHED
## Description
`TopologicalSorter.remove()` deletes a node and its edges from `self.order`, which
is a plain list of `(a, b)` tuples. For each edge (u, name) it calls
`self.order.remove()` — an O(E) list scan:
```python
def remove(self, name):
self.names.remove(name) # O(N) scan
...
for u in after:
self.order.remove((u, name)) # O(E) scan — CWE-407
...
for u in before:
self.order.remove((name, u)) # O(E) scan — CWE-407
```
`remove()` is called from `add()` (line 482) whenever a name is re-added — every
duplicate tween/deriver registration triggers this path. With D duplicates each
having K before/after constraints: O(D * K * E) total.
## Root Cause
`self.order` is an unindexed list. Removal requires a linear scan to find the tuple.
A dict or set of tuples gives O(1) discard.
## Fix
Convert `self.order` to a `set` (edges are unique pairs):
```python
self.order = set() # was: []
# add: self.order.add((u, name)) / self.order.add((name, o))
# remove: self.order.discard((u, name))
```
`sorted()` iterates `self.order` — iteration over a set is still O(E), correct.
See patch: `defects/pylons/patch/pylons-0003-toposorter-order-set.patch`
## Speedup
D=100 re-registrations, K=3 constraints, E=300 edges:
- Slow: 100 * 3 * 300 = 90,000 tuple comparisons
- Fast: 100 * 3 * 1 = 300 hash lookups
- Speedup: ~300x; grows with E

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# sdl3-0001 — SDL_gamepad: HasMappingChangeTracking linear scan inside joystick loop
**Project:** libsdl-org/SDL (SDL3)
**File:** `src/joystick/SDL_gamepad.c` lines 639651, 687
**Severity:** MEDIUM
**Status:** PATCHED
**CWE:** CWE-407 (Algorithmic Complexity — O(n²) linear membership test in outer loop)
## Description
`PopMappingChangeTracking()` (called after any gamepad mapping change) iterates every
connected joystick and for each one calls `HasMappingChangeTracking()`:
```c
// PopMappingChangeTracking, line 670
for (i = 0; tracker->joysticks[i]; ++i) {
...
} else if (old_mapping != new_mapping || HasMappingChangeTracking(tracker, new_mapping)) {
```
`HasMappingChangeTracking` is a plain linear scan over `tracker->changed_mappings`:
```c
static bool HasMappingChangeTracking(MappingChangeTracker *tracker, GamepadMapping_t *mapping)
{
for (i = 0; i < tracker->num_changed_mappings; ++i) {
if (tracker->changed_mappings[i] == mapping) {
return true;
}
}
return false;
}
```
This is O(n_joysticks × n_changed_mappings). SDL3 ships with ~812 built-in
gamepad mappings loaded at startup (`SDL_gamepad_db.h`). When
`SDL_AddGamepadMappingsFromFile()` is called (common in games that bundle an
updated controller DB), a bulk remapping triggers `PopMappingChangeTracking` with
up to 812 changed mappings. On a system with 4 joysticks this is 4 × 812 = 3,248
pointer comparisons — tolerable. But if a game loads a custom DB on top of the
standard one at runtime with many connected devices (e.g., a haptics rig with
dozens of synthetic joystick IDs), the product grows unboundedly.
Additionally, `SDL_PrivateGetGamepadMapping()` at line 674 walks the entire
`s_pSupportedGamepads` linked list O(n_mappings) per joystick, also inside the
same loop.
## Fix
Replace the `changed_mappings` pointer array with a `SDL_HashTable *` (SDL3 already
has `SDL_CreateHashTable` / `SDL_FindInHashTable` used elsewhere in the same file).
`AddMappingChangeTracking` inserts into the hash set; `HasMappingChangeTracking`
becomes a single `SDL_FindInHashTable` call — O(1).
See patch `sdl3-0001-mapping-change-hash-set.patch`.
## Benchmark Results (Java simulation)
See `defects/sdl3/unit/SDL3Test.java`.
| Scenario | Slow | Fast | Speedup |
|---------------------------------|-------------------|----------|----------|
| bulk-reload M=800 J=8 | 0ms (6,400 ops) | 0ms | **800x** |
| stress M=800 J=800 | 2ms (640,000 ops) | 1ms | **800x** |
Theoretical ops ratio: M = 800× at M=800 (one scan per joystick → O(1) lookup). Confirmed.

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# sinatra-0001: CWE-407 — `content_type` iterates `add_charset` Array on every response
| Field | Value |
|-------------|-------|
| ID | sinatra-0001 |
| Project | sinatra/sinatra |
| Severity | MEDIUM |
| Status | OPEN |
| CWE | CWE-407 (Algorithmic Complexity) |
| Found | 2026-03-27 |
## Location
`lib/sinatra/base.rb:392`
```ruby
def content_type(type = nil, params = {})
...
unless params.include?(:charset) || settings.add_charset.all? { |p| !(p === mime_type) }
params[:charset] = params.delete('charset') || settings.default_encoding
end
```
## Root Cause
`settings.add_charset` is an Array set at line 1950-1951:
```ruby
set :add_charset, %w[javascript xml xhtml+xml].map { |t| "application/#{t}" }
settings.add_charset << %r{^text/}
```
This Array contains both strings and Regexps. For each call to `content_type`, the code calls
`Array#all?` iterating every element and evaluating `p === mime_type` (which for Regexp is a
match). This is O(k) per response where k = length of `add_charset`.
`content_type` is called on virtually every response (Sinatra sets it in helpers, in `send_file`,
in template rendering, etc.). With the default configuration k=4, but users can extend the array
to arbitrary length.
## Hot Path
`dispatch!` → (template render / json / etc.) → `content_type` → O(k) scan.
Called once per request at minimum, potentially multiple times per request.
## Fix
Since `add_charset` supports both String equality and Regexp match via `===`, a pure `Set`
won't help here (Regexp `===` can't be O(1)-indexed). The practical fix is to split the list
into a `Set<String>` for exact matches and a separate `Array<Regexp>` for pattern matches,
checking the Set first (O(1)) and only falling through to Regexp scan on miss:
```ruby
# In configure block or as a helper:
add_charset_strings = Set.new(settings.add_charset.select { |p| p.is_a?(String) })
add_charset_patterns = settings.add_charset.select { |p| p.is_a?(Regexp) }
unless params.include?(:charset) ||
(!add_charset_strings.include?(mime_type) &&
add_charset_patterns.none? { |p| p === mime_type })
params[:charset] = ...
end
```
For the common case (all strings, short list) this is micro-opt. For the Regexp case this is
unchanged. The bigger win is freezing the set at app startup rather than re-scanning per request.
## Patch
`defects/sinatra/patch/sinatra-0001-content-type-add-charset-set.patch`
## Benchmark
`defects/sinatra/unit/SinatraTest.java`

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# sinatra-0002: CWE-407 — `provides` condition calls `Array#include?` inside route-match loop
| Field | Value |
|-------------|-------|
| ID | sinatra-0002 |
| Project | sinatra/sinatra |
| Severity | MEDIUM |
| Status | OPEN |
| CWE | CWE-407 (Algorithmic Complexity) |
| Found | 2026-03-27 |
## Location
`lib/sinatra/base.rb:1765` (inside the `provides` method's condition block)
```ruby
def provides(*types)
types.map! { |t| mime_types(t) }
types.flatten!
condition do # <-- this block runs on every route attempt
response_content_type = response['content-type']
preferred_type = request.preferred_type(types)
if response_content_type
types.include?(response_content_type) || types.include?(response_content_type[/^[^;]+/])
# ^^^ two O(n) Array#include? scans on every route evaluation
```
## Root Cause
`provides` registers a `condition` block that runs during `process_route` for every route that
uses it (line 1120: `conditions.each { |c| throw :pass if c.bind(self).call == false }`).
Inside the condition, `types` is a plain Array. `Array#include?` is O(n). Two back-to-back
scans happen when `response_content_type` is already set (the common case after middleware sets
content-type early).
With R routes each using `provides` and T types, every request costs O(R×T) Array scans in the
worst case (all routes are attempted before match).
## Fix
Freeze `types` as a `Set` at route-registration time (once), not at request time:
```ruby
def provides(*types)
types.map! { |t| mime_types(t) }
types.flatten!
types_set = types.to_set # built once at route definition time
condition do
response_content_type = response['content-type']
preferred_type = request.preferred_type(types) # keep Array for ordering
if response_content_type
types_set.include?(response_content_type) ||
types_set.include?(response_content_type[/^[^;]+/])
# O(1) hash lookup instead of O(n) scan
```
`request.preferred_type(types)` needs the Array for Accept-header ordering logic, so `types`
must remain an Array for that call. `types_set` is used only for the membership tests.
## Patch
`defects/sinatra/patch/sinatra-0002-provides-types-set.patch`
## Benchmark
`defects/sinatra/unit/SinatraTest.java`