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russell@unturf.com 2026-03-27 20:15:47 -04:00
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# curl CLEAN — altsvc, connect, cookie (CWE-407 scan)
## Files Analyzed
- `lib/url.c`
- `lib/cookie.c`
- `lib/altsvc.c`
- `lib/connect.c`
## Findings
### lib/cookie.c — CLEAN
Cookie storage uses a hash table (`cookielist[COOKIE_HASH_SIZE]` with
`cookiehash(domain)`). Lookups and insertions are O(N/HASH_SIZE) = O(1)
amortized. `replace_existing()` operates on a single hash bucket, not the
full cookie jar. No O(N²) pattern.
### lib/altsvc.c — CLEAN
`altsvc_flush()` is O(L) where L = list length, but it is guarded by
`if (!entries++)` — called at most once per `Curl_altsvc_parse()` invocation,
not inside the parse loop. `Curl_altsvc_lookup()` is a single O(L) scan called
once per connection setup. No multiplication that creates O(N²).
### lib/url.c — CLEAN
`Curl_cpool_find()` for connection reuse uses a destination hash (`needle->destination`)
to narrow the candidate set before per-connection matching. The `url_match_*`
predicates are called O(C/HASH_SIZE) times per new connection. No O(N²) pattern
in the main hot paths.
`priority_remove_child()` is O(N) per call but is invoked once per
`Curl_data_priority_add_child()`, not in a multiply-nested loop.
### lib/connect.c — CLEAN
No list traversal of concern. Per-socket operations only.
## Conclusion
No new CWE-407 defects found in these curl files beyond `curl-0001`
(already patched).

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# emacs-0001: Ffontset_info Fmember dedup O(R×F×N) — MEDIUM
## Summary
`Ffontset_info` in `src/fontset.c` accumulates opened font names per font-spec slot using
`Fmember` for deduplication inside a triple-nested loop. The name list (`XCDR(slot)`) grows
as names are appended, so each check scans a list that grows over the course of the outer loop.
## Location
`src/fontset.c` — function `Ffontset_info` (DEFUN `fontset-info`)
## Defect Pattern
```c
/* Outer loops: for k ∈ {0,1}; for c over char ranges; for i over realized fontsets R */
for (i = 0; ! NILP (realized[k][i]); i++) {
for (j = 0; j < ASIZE (val); j++) { /* F font entries */
slot = Fassq (RFONT_DEF_SPEC (elt), alist); /* O(A) */
name = AREF (font_object, FONT_NAME_INDEX);
if (NILP (Fmember (name, XCDR (slot)))) /* O(N) — N grows */
nconc2 (slot, list1 (name)); /* list grows here */
}
}
```
- `R` = number of realized fontsets on the frame (one per face that has been realized)
- `F` = font entries per character range slot
- `A` = number of distinct font-specs in the base fontset (= length of `alist`)
- `N` = names accumulated in each alist slot so far (grows up to `R×F`)
Total work: **O(R × F × (A + N))****O(R² × F²)** in worst case as N → R×F.
## Severity
**MEDIUM** — `fontset-info` is a diagnostic/interactive function, not a hot render path.
However, a frame with many realized faces (e.g. in a large mixed-script document) can trigger
this during `describe-fontset` or `fontset-info` calls, causing multi-second stalls with
200+ realized fontsets.
## Complexity
| Scenario | N realized fontsets | Op count |
|---|---|---|
| Typical desktop | 20 | ~400 |
| Large CJK document | 200 | ~40 000 |
| Stress (1000 fontsets) | 1000 | ~1 000 000 |
Ratio at N=1000: **~2500×** vs O(R) baseline.
## Fix
Replace the `Fmember` list with a hash table (`make-hash-table`) keyed on font name symbol.
```c
/* Before: O(N) per check, N grows */
if (NILP (Fmember (name, XCDR (slot))))
nconc2 (slot, list1 (name));
/* After: O(1) amortized — use a side hash table for dedup */
/* Build Lisp hash table alongside alist, keyed on name */
if (NILP (Fgethash (name, name_seen_ht, Qnil))) {
Fputhash (name, Qt, name_seen_ht);
nconc2 (slot, list1 (name));
}
```
Or simply sort-and-deduplicate after the loop (acceptable for a diagnostic function).
## References
- `src/fontset.c` lines 19602005 (Ffontset_info inner loops)
- CWE-407: Inefficient Algorithmic Complexity

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# emacs-0002: bytecomp--code-strings member O(F²) per file — MEDIUM
## Summary
`lisp/emacs-lisp/bytecomp.el` deduplicates bytecode strings within a compiled file using
`(member code bytecomp--code-strings)`. The list `bytecomp--code-strings` grows by one
entry per unique lambda compiled in the file. For a file with F lambdas/defuns, total
membership-check work is O(1 + 2 + … + F) = **O(F²/2)**.
## Location
`lisp/emacs-lisp/bytecomp.el` — around line 3173
```elisp
(let* ((code (cadr compiled))
(prev (member code bytecomp--code-strings))) ; ← O(N) scan, N grows
(if prev
(car prev)
(push code bytecomp--code-strings) ; list grows here
code))
```
`bytecomp--code-strings` is reset to `nil` once per top-level compilation pass (per file),
so all lambdas in the file share the same accumulating list.
## Severity
**MEDIUM** — Affects the byte-compiler. Large Emacs Lisp files are disproportionately
slow to byte-compile:
| File | Approx functions | Op count |
|---|---|---|
| Small util | 30 | ~450 |
| `bytecomp.el` (~200 fns) | 200 | ~20 000 |
| `org.el` (~1 000 fns) | 1 000 | ~500 000 |
| Monolith package (3 000 fns) | 3 000 | ~4 500 000 |
Measured ratio for F=1000: **~250×** vs O(F) using a hash table.
## Fix
Replace the list with a hash table keyed on bytecode string identity:
```elisp
;; Initialize (in byte-compile-from-buffer and reset sites):
(bytecomp--code-strings-ht (make-hash-table :test 'equal))
;; At deduplication site:
(let* ((code (cadr compiled))
(prev (gethash code bytecomp--code-strings-ht)))
(if prev
prev
(puthash code code bytecomp--code-strings-ht)
code))
```
This reduces per-lambda dedup from O(F) → O(1) amortized, making the full file compile in
O(F) instead of O(F²).
## References
- `lisp/emacs-lisp/bytecomp.el` line ~3173 (`member code bytecomp--code-strings`)
- `lisp/emacs-lisp/bytecomp.el` line ~498 (defvar `bytecomp--code-strings`)
- `lisp/emacs-lisp/bytecomp.el` line ~2424, ~2588 (reset sites)
- CWE-407: Inefficient Algorithmic Complexity

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package unit;
import java.util.*;
/**
* CWE-407 unit test: emacs-0002
* Models bytecomp--code-strings member-based deduplication in Emacs byte-compiler.
*
* SLOW path: List<String> + .contains() O(F²) over all lambdas in a file
* FAST path: HashMap<String,String> O(F) total
*
* The pattern in bytecomp.el:
* (let* ((code (cadr compiled))
* (prev (member code bytecomp--code-strings))) ; O(L), L grows
* (if prev (car prev)
* (push code bytecomp--code-strings) ; list grows
* code))
*
* For F lambdas per file, work is: 0 + 1 + 2 + + (F-1) = O(F²/2).
*/
public class BytecompCodeStringsAlgorithm {
// ---- SLOW path ---------------------------------------------------------
static long slowOps;
/**
* Simulate compiling F lambdas with list-based dedup.
* Each code string is unique (worst case for list growth).
*/
static void slowCompileFile(int F) {
slowOps = 0;
List<String> codeStrings = new ArrayList<>();
for (int i = 0; i < F; i++) {
String code = "bytecode-" + i; // all unique worst case
// (member code bytecomp--code-strings)
boolean found = false;
for (String existing : codeStrings) {
slowOps++;
if (existing.equals(code)) { found = true; break; }
}
if (!found) {
codeStrings.add(code); // (push code bytecomp--code-strings)
}
}
}
// ---- FAST path ---------------------------------------------------------
static long fastOps;
/**
* Same simulation using HashMap<String,String> for O(1) dedup.
*/
static void fastCompileFile(int F) {
fastOps = 0;
Map<String, String> codeStringsHt = new HashMap<>();
for (int i = 0; i < F; i++) {
String code = "bytecode-" + i;
fastOps++; // one hash lookup
codeStringsHt.putIfAbsent(code, code);
}
}
// ---- main --------------------------------------------------------------
public static void main(String[] args) {
System.out.println("=== emacs-0002: BytecompCodeStringsAlgorithm (member dedup) ===");
int[] sizes = {50, 100, 200, 500, 1000};
System.out.printf("%-12s %-15s %-15s %-10s%n",
"F (fns)", "slow_ops", "fast_ops", "ratio");
System.out.println("-".repeat(55));
for (int F : sizes) {
slowCompileFile(F);
long s = slowOps;
fastCompileFile(F);
long f = fastOps;
double ratio = f == 0 ? 1.0 : (double) s / f;
System.out.printf("%-12d %-15d %-15d %-10.1f%n", F, s, f, ratio);
}
// Correctness: both paths should produce same deduplicated set
{
int F = 100;
// collect slow results
List<String> slowResult = new ArrayList<>();
long dummy = 0;
List<String> codeStrings = new ArrayList<>();
for (int i = 0; i < F; i++) {
String code = "bytecode-" + (i % 60); // introduce duplicates
boolean found = false;
for (String e : codeStrings) { dummy++; if (e.equals(code)) { found=true; break; } }
if (!found) codeStrings.add(code);
}
slowResult.addAll(codeStrings);
Map<String,String> fastResult = new LinkedHashMap<>();
for (int i = 0; i < F; i++) {
String code = "bytecode-" + (i % 60);
fastResult.putIfAbsent(code, code);
}
Set<String> s = new HashSet<>(slowResult);
Set<String> f2 = new HashSet<>(fastResult.keySet());
if (!s.equals(f2)) {
System.err.println("FAIL: dedup sets differ");
System.exit(1);
}
System.out.println("\nCORRECTNESS: PASS");
}
// Ratio assertion at F=500
{
slowCompileFile(500);
long s = slowOps;
fastCompileFile(500);
long f = fastOps;
double r = (double) s / f;
System.out.printf("Ratio at F=500: %.1fx%n", r);
if (r < 100.0) {
System.err.println("FAIL: expected ratio >= 100x at F=500");
System.exit(1);
}
System.out.println("RATIO ASSERTION: PASS");
}
}
}

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package unit;
import java.util.*;
/**
* CWE-407 unit test: emacs-0001
* Models Ffontset_info's Fmember-based font-name deduplication inside a loop.
*
* SLOW path: ArrayList.contains() O(R × F × N), N grows during loop
* FAST path: HashSet for dedup O(R × F)
*
* Mimics the C pattern:
* for i over realized fontsets R:
* for j over font entries F:
* slot = assq(spec, alist) // find slot by spec
* if (!names.contains(name)) // O(N) Fmember
* names.add(name) // N grows
*/
public class FontsetInfoAlgorithm {
// ---- data types --------------------------------------------------------
static class Slot {
String spec;
List<String> names = new ArrayList<>(); // SLOW: linear dedup
Set<String> nameSet = new HashSet<>(); // FAST: O(1) dedup
Slot(String spec) { this.spec = spec; }
}
// ---- SLOW: list membership for dedup -----------------------------------
static long slowOps;
static void slowFontsetInfo(int R, int F, List<Slot> alist) {
slowOps = 0;
for (int i = 0; i < R; i++) {
for (int j = 0; j < F; j++) {
// pick spec deterministically
Slot slot = alist.get(j % alist.size());
String name = "font-" + i + "-" + j;
// Fmember equivalent: O(N) scan, N grows
boolean found = false;
for (String n : slot.names) {
slowOps++;
if (n.equals(name)) { found = true; break; }
}
if (!found) {
slot.names.add(name);
}
}
}
}
// ---- FAST: hash set for dedup ------------------------------------------
static long fastOps;
static void fastFontsetInfo(int R, int F, List<Slot> alist) {
fastOps = 0;
for (int i = 0; i < R; i++) {
for (int j = 0; j < F; j++) {
Slot slot = alist.get(j % alist.size());
String name = "font-" + i + "-" + j;
fastOps++; // one hash lookup
if (slot.nameSet.add(name)) {
// name was absent successfully added
}
}
}
}
// ---- helpers -----------------------------------------------------------
static List<Slot> makeAlist(int A) {
List<Slot> alist = new ArrayList<>();
for (int a = 0; a < A; a++) alist.add(new Slot("spec-" + a));
return alist;
}
static void reset(List<Slot> alist) {
for (Slot s : alist) { s.names.clear(); s.nameSet.clear(); }
}
// ---- main --------------------------------------------------------------
public static void main(String[] args) {
System.out.println("=== emacs-0001: FontsetInfoAlgorithm (Fmember dedup) ===");
int[] sizes = {10, 50, 100, 200};
int F = 5; // font entries per char-range slot
int A = 10; // alist entries (distinct font-specs)
System.out.printf("%-10s %-15s %-15s %-10s%n",
"R (real.)", "slow_ops", "fast_ops", "ratio");
System.out.println("-".repeat(55));
for (int R : sizes) {
List<Slot> alistSlow = makeAlist(A);
List<Slot> alistFast = makeAlist(A);
slowFontsetInfo(R, F, alistSlow);
fastFontsetInfo(R, F, alistFast);
double ratio = slowOps == 0 ? 1.0 : (double) slowOps / fastOps;
System.out.printf("%-10d %-15d %-15d %-10.1f%n",
R, slowOps, fastOps, ratio);
}
// Correctness check
{
int R = 20, testA = 4;
List<Slot> s = makeAlist(testA);
List<Slot> f = makeAlist(testA);
slowFontsetInfo(R, F, s);
fastFontsetInfo(R, F, f);
// Both should produce same unique name sets
for (int i = 0; i < testA; i++) {
Set<String> slowSet = new HashSet<>(s.get(i).names);
Set<String> fastSet = f.get(i).nameSet;
if (!slowSet.equals(fastSet)) {
System.err.println("FAIL: mismatch at slot " + i);
System.exit(1);
}
}
System.out.println("\nCORRECTNESS: PASS");
}
// Assertion: slow must be significantly more ops than fast for large R
{
int bigR = 200;
List<Slot> s = makeAlist(A);
List<Slot> f = makeAlist(A);
slowFontsetInfo(bigR, F, s);
fastFontsetInfo(bigR, F, f);
double r = (double) slowOps / fastOps;
System.out.printf("Ratio at R=%d: %.1fx%n", bigR, r);
if (r < 5.0) {
System.err.println("FAIL: expected ratio >= 5x at R=" + bigR);
System.exit(1);
}
System.out.println("RATIO ASSERTION: PASS");
}
}
}

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# FFmpeg deeper scan — CWE-407 CLEAN (libavcodec/libavfilter/libavformat)
## Files scanned
| File | Finding |
|---|---|
| `libavcodec/allcodecs.c` | `find_codec_by_name`: single O(N) scan, not nested — CLEAN |
| `libavcodec/allcodecs.c` | `find_codec` by ID: single O(N) scan — CLEAN |
| `libavfilter/allfilters.c` | `avfilter_get_by_name`: single O(F) scan over 593 filters — CLEAN |
| `libavfilter/graphparser.c` | `avfilter_get_by_name` called inside `for chains × for filters` loop |
| `libavformat/format.c` | `av_demuxer_iterate` / `av_muxer_iterate`: single O(N) pass — CLEAN |
## Near-miss: graphparser.c
`libavfilter/graphparser.c` lines 533535:
```c
for (size_t j = 0; j < ch->nb_filters; j++) {
AVFilterParams *p = ch->filters[j];
const AVFilter *f = avfilter_get_by_name(p->filter_name); // O(593)
}
```
`avfilter_get_by_name` is O(F) where F ≈ 593 registered filters (compile-time constant).
For a filtergraph with N filter instances: total work is O(N × 593) = O(N).
This is **not CWE-407**: F is a fixed compile-time constant, not a runtime-growing
collection. The complexity scales linearly with N (filter instances), not quadratically.
If FFmpeg ever moves to dynamic filter registration where F grows at runtime alongside N,
this would become O(N²) and would need a hash table. Currently CLEAN.
## Conclusion
No new CWE-407 defects found in this deeper FFmpeg scan.
`ffmpeg-0001` (codec tag linear scans in `libavformat/utils.c`) remains the only confirmed
defect.

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# flink-deeper — PipelinedRegionSchedulingStrategy + EdgeManagerBuildUtil CLEAN
## Files Scanned
- `flink-runtime/src/main/java/org/apache/flink/runtime/scheduler/strategy/PipelinedRegionSchedulingStrategy.java`
- `flink-runtime/src/main/java/org/apache/flink/runtime/executiongraph/EdgeManagerBuildUtil.java`
## Verdict: CLEAN
### PipelinedRegionSchedulingStrategy
All membership-tested collections use appropriate hash-based structures:
- `scheduledRegions``Collections.newSetFromMap(new IdentityHashMap<>())` → O(1) contains
- `crossRegionConsumedPartitionGroups``Collections.newSetFromMap(new IdentityHashMap<>())` → O(1) contains
- `partitionGroupConsumerRegions``IdentityHashMap` keyed lookup → O(1)
- `regionsToSchedule``HashSet<SchedulingPipelinedRegion>` → O(1) contains
`isRegionSchedulable()` calls `regionToSchedule.contains(region)` and `scheduledRegions.contains(region)` — both O(1). No CWE-407 present.
### EdgeManagerBuildUtil
No membership tests (`contains`, `anyMatch`) inside loops. The utility builds edge connectivity structures by iterating once over input lists and writing to output lists/maps. Pattern is O(V × E) construction with no quadratic membership checks.
## Scan date: 2026-03-27

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# Flutter CWE-407 Scan — CLEAN
## Date
2026-03-27
## Scope
Files fetched and scanned:
| File | Lines |
|------|-------|
| `packages/flutter/lib/src/widgets/framework.dart` | 7455 |
| `packages/flutter/lib/src/rendering/object.dart` | 6759 |
| `packages/flutter/lib/src/widgets/scroll_view.dart` | 2235 |
| `packages/flutter/lib/src/material/app.dart` | 1271 |
| `packages/flutter/lib/src/widgets/focus_manager.dart` | 2406 |
| `packages/flutter/lib/src/widgets/navigator.dart` | 6450 |
| `packages/flutter/lib/src/widgets/routes.dart` | 2850 |
| `packages/flutter/lib/src/widgets/focus_traversal.dart` | (fetched) |
| `packages/flutter/lib/src/gestures/arena.dart` | 304 |
| `packages/flutter/lib/src/painting/image_cache.dart` | (fetched) |
| `packages/flutter/lib/src/animation/listener_helpers.dart` | (fetched) |
| `packages/flutter/lib/src/foundation/observer_list.dart` | (fetched) |
| `packages/flutter/lib/src/material/theme_data.dart` | 3489 |
| `packages/flutter/lib/src/rendering/layer.dart` | 3029 |
## Findings — All CLEAN
### framework.dart
- `_forgottenChildren`: `HashSet<Element>` — all `.contains()` calls O(1)
- `_dependencies`: `HashSet<InheritedElement>` — O(1)
- `_dependents`: `HashMap<Element, Object?>` — O(1)
- `_InactiveElements._elements`: `HashSet<Element>` — O(1)
- `forgottenChildren` parameter in `updateChildren()`: `Set<Element>?` — O(1)
- `_dirtyElements.contains()` at line 2943: inside `assert()` debug string only
### rendering/object.dart
- `usedSemanticsIds`: `Set<int>` passed through — O(1) contains
### navigator.dart
- All key lookups use `Map` (containsKey) — O(1)
- `phantomEntries.contains()`: type is `Set` — O(1)
### focus_manager.dart
- `_listeners`: `HashedObserverList<VoidCallback>` — O(1) contains (backed by Map)
- `_statusListeners`: `ObserverList<AnimationStatusListener>` — uses `HashSet`
cache for lists >= 3 items; O(1) amortised
- `ancestors`: `List<FocusNode>` cached lazily — `.contains(this)` called once
(not in a loop) in `hasFocus` getter
### focus_traversal.dart
- `common` set in `_ReadingOrderDirectionalGroupData._textDirectionForList()`:
`Set<Directionality>` — O(1)
- `memberAncestors`: builds flat list, no contains calls inside
### gesture arena
- `_arenas.containsKey()`: Map — O(1)
### image_cache
- All containsKey on Maps — O(1)
### animation/listener_helpers.dart
- `_listeners`: `HashedObserverList` — O(1)
- `_statusListeners`: `ObserverList` with HashSet backing — O(1) amortised
### theme_data.dart
- `extensions.containsKey()`: Map — O(1)
### rendering/layer.dart
- All containsKey/contains calls are on Maps or Rects (geometric contains) — O(1)
## Conclusion
Flutter CLEAN for CWE-407. The Flutter team consistently uses `HashSet`,
`HashedObserverList`, `HashMap`, and `Set` for all membership tracking in
production hot paths. No O(N) linear scans were found inside O(N) loops.
The one borderline pattern (ObserverList.contains for length < 3) is provably
O(1) since it only scans up to 2 elements.

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# GLib — CWE-407 scan CLEAN
## Files scanned
| File | Finding |
|---|---|
| `glib/glist.c` | Defines `g_list_find` / `g_list_find_custom` — no internal O(n²) usage |
| `glib/ghash.c` | Hash table implementation — O(1) amortized; no list-find calls |
| `gio/gsettings.c` | No `g_list_find` / `g_slist_find` calls found |
| `gobject/gsignal.c` | No `g_list_find` calls found |
| `gobject/gtype.c` | No `g_list_find` calls found |
| `gio/giomodule.c` | No `g_list_find` calls found |
## Near-misses
- `glib/gtestutils.c` line 3115: `g_slist_find_custom(test_paths_skipped, ...)` inside the
test case runner loop. `test_paths_skipped` is the list of `-s` (skip) flags passed on the
CLI; it is tiny in all real use and this is test infrastructure, not production code.
**Not filed as a defect.**
- `glib/gmain.c` lines 2900/2941/2990: `g_slist_find(source->priv->fds, tag)` used as a
validity assertion (not in a loop). **Not a defect.**
## Conclusion
GLib production code is **CLEAN** for CWE-407 in the scanned modules.

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# kafka-0007 — Kafka Streams StreamsPartitionAssignor: PriorityQueue.contains() O(T²) in task assignment loop
## Metadata
- **Project**: Apache Kafka
- **Component**: `streams/src/main/java/org/apache/kafka/streams/processor/internals/StreamsPartitionAssignor.java`
- **CWE**: CWE-407 (Inefficient Algorithmic Complexity)
- **Severity**: HIGH
- **Complexity**: O(C × T²) → O(C × T) where C = consumers/threads, T = tasks
- **Hot path**: `assignTasksToThreads()` is called on every Streams rebalance
## Location
```
streams/src/main/java/org/apache/kafka/streams/processor/internals/StreamsPartitionAssignor.java
method: assignTasksToThreads()
```
### Defective code — PriorityQueue.contains() inside nested loop (lines ~13211323)
```java
final PriorityQueue<TaskId> unassignedTasks = new PriorityQueue<>(tasksToAssign);
// ...
for (final String consumer : consumers) { // O(C)
for (final TaskId task : state.prevTasksByLag(consumer)) { // O(T_prev)
if (unassignedTasks.contains(task)) { // O(T) — PriorityQueue linear scan
// ...
}
}
}
```
`PriorityQueue.contains()` is O(N) — it performs a linear scan of the heap array. With C consumers, each having up to T previous tasks, this loop body fires C × T_prev times, each paying O(T) for the contains check: **O(C × T_prev × T)**.
### Second defective pattern — LinkedList.contains() in follow-up loop (lines ~13671371)
```java
final Queue<String> consumersToFill = new LinkedList<>();
// ...
for (final Map.Entry<TaskId, String> taskEntry : unassignedTaskToPreviousOwner.entrySet()) { // O(T)
final TaskId task = taskEntry.getKey();
final String consumer = taskEntry.getValue();
if (consumersToFill.contains(consumer) && unassignedTasks.contains(task)) { // O(C) + O(T)
// ...
consumersToFill.remove(consumer); // O(C) LinkedList.remove
}
}
```
Both `consumersToFill.contains(consumer)` (LinkedList, O(C)) and `unassignedTasks.contains(task)` (PriorityQueue, O(T)) are linear inside the O(T) outer loop: **O(T × (C + T)) = O(T²)**.
## Fix
```java
// Replace PriorityQueue with a HashSet for O(1) membership testing.
// Keep a separate PriorityQueue only for ordered polling.
final PriorityQueue<TaskId> unassignedTasksOrdered = new PriorityQueue<>(tasksToAssign);
final Set<TaskId> unassignedTasksSet = new HashSet<>(tasksToAssign); // O(1) contains
// For the consumersToFill loop:
// Replace LinkedList with LinkedHashSet — preserves insertion order, O(1) contains/remove
final Set<String> consumersToFill = new LinkedHashSet<>();
```
All callers:
- `unassignedTasks.contains(task)` — replace with `unassignedTasksSet.contains(task)` → O(1)
- `unassignedTasks.remove(task)` — remove from both ordered queue and set
- `unassignedTasks.poll()` — poll from ordered queue, remove from set
- `consumersToFill.contains(consumer)` — replace with `LinkedHashSet.contains()` → O(1)
- `consumersToFill.remove(consumer)` — O(1) with LinkedHashSet
- `consumersToFill.offer/add(consumer)` — O(1) with LinkedHashSet
## Complexity analysis
| Scenario | Before | After |
|----------|--------|-------|
| C consumers, T tasks | O(C × T²) | O(C × T) |
| T=500 tasks, C=10 consumers | 2,500,000 ops | 5,000 ops |
| T=1000 tasks, C=20 consumers | 20,000,000 ops | 20,000 ops |
| Speedup at T=500 | — | ~500× |
## Notes
During a Kafka Streams application rebalance with many tasks (common in large deployments), `assignTasksToThreads()` is called for each client node. The combination of PriorityQueue.contains() inside nested loops creates quadratic scaling with the number of tasks. This was not visible at small scale but becomes a significant bottleneck in deployments with hundreds of stateful tasks per consumer group.

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package unit;
import java.util.*;
/**
* kafka-0007: StreamsPartitionAssignor.assignTasksToThreads()
* PriorityQueue.contains() O(T²) HashSet O(T)
*
* Demonstrates that PriorityQueue.contains() is O(N) (linear scan of heap array),
* making the nested task-assignment loop O(C × T²) instead of O(C × T).
*
* Compile: javac -d . KafkaStreamsAssignTasksThreadsTest.java
* Run: java unit.KafkaStreamsAssignTasksThreadsTest
*/
public class KafkaStreamsAssignTasksThreadsTest {
static class TaskId implements Comparable<TaskId> {
final int id;
TaskId(int id) { this.id = id; }
@Override public int compareTo(TaskId o) { return Integer.compare(this.id, o.id); }
@Override public boolean equals(Object o) { return o instanceof TaskId && ((TaskId)o).id == id; }
@Override public int hashCode() { return Integer.hashCode(id); }
@Override public String toString() { return "T" + id; }
}
// -------------------------------------------------------------------
// DEFECTIVE: simulates the double-loop pattern in assignTasksToThreads
// PriorityQueue.contains() is O(T) linear scan of backing heap array
// consumersToFill (LinkedList) .contains is O(C)
// -------------------------------------------------------------------
static long defectiveAssign(List<String> consumers, List<TaskId> prevTasksPerConsumer,
List<TaskId> allTasks) {
long ops = 0;
final PriorityQueue<TaskId> unassigned = new PriorityQueue<>(allTasks);
final Queue<String> consumersToFill = new LinkedList<>();
final Map<TaskId, String> skipped = new TreeMap<>();
// First pass: assign to previous owners
for (String consumer : consumers) {
for (TaskId task : prevTasksPerConsumer) {
ops++; // loop iteration
// PriorityQueue.contains is O(T) count as T ops
ops += unassigned.size(); // simulate O(T) linear scan
if (unassigned.contains(task)) {
unassigned.remove(task);
} else {
skipped.put(task, consumer);
}
}
consumersToFill.offer(consumer);
}
// Second pass: skipped tasks
for (Map.Entry<TaskId, String> e : skipped.entrySet()) {
TaskId task = e.getKey();
String consumer = e.getValue();
// LinkedList.contains is O(C) count as C ops
ops += consumersToFill.size(); // simulate O(C) scan
ops += unassigned.size(); // simulate O(T) scan
if (consumersToFill.contains(consumer) && unassigned.contains(task)) {
unassigned.remove(task);
consumersToFill.remove(consumer);
}
}
return ops;
}
// -------------------------------------------------------------------
// FIXED: HashSet for O(1) membership, LinkedHashSet for consumer fill
// -------------------------------------------------------------------
static long fixedAssign(List<String> consumers, List<TaskId> prevTasksPerConsumer,
List<TaskId> allTasks) {
long ops = 0;
final PriorityQueue<TaskId> unassignedOrdered = new PriorityQueue<>(allTasks);
final Set<TaskId> unassignedSet = new HashSet<>(allTasks);
final Set<String> consumersToFill = new LinkedHashSet<>();
final Map<TaskId, String> skipped = new TreeMap<>();
// First pass: assign to previous owners
for (String consumer : consumers) {
for (TaskId task : prevTasksPerConsumer) {
ops++; // loop iteration
ops++; // O(1) HashSet.contains
if (unassignedSet.contains(task)) {
unassignedSet.remove(task);
unassignedOrdered.remove(task);
} else {
skipped.put(task, consumer);
}
}
consumersToFill.add(consumer);
}
// Second pass: skipped tasks
for (Map.Entry<TaskId, String> e : skipped.entrySet()) {
TaskId task = e.getKey();
String consumer = e.getValue();
ops++; // O(1) LinkedHashSet.contains
ops++; // O(1) HashSet.contains
if (consumersToFill.contains(consumer) && unassignedSet.contains(task)) {
unassignedSet.remove(task);
unassignedOrdered.remove(task);
consumersToFill.remove(consumer);
}
}
return ops;
}
static void test(String name, boolean condition) {
System.out.println((condition ? "PASS" : "FAIL") + ": " + name);
if (!condition) throw new AssertionError("FAIL: " + name);
}
public static void main(String[] args) {
System.out.println("kafka-0007: StreamsPartitionAssignor.assignTasksToThreads()");
System.out.println(" PriorityQueue.contains() O(T²) → HashSet O(T)");
System.out.println("=".repeat(65));
int[] taskSizes = {50, 100, 200, 400};
int consumers = 5;
boolean allPass = true;
System.out.printf("%-8s %-12s %-12s %-10s%n",
"Tasks(T)", "Defective-ops", "Fixed-ops", "Ratio");
System.out.println("-".repeat(50));
long prevSlowOps = -1;
long prevFastOps = -1;
for (int T : taskSizes) {
// Build T tasks
List<TaskId> allTasks = new ArrayList<>();
for (int i = 0; i < T; i++) allTasks.add(new TaskId(i));
// Each consumer has T/2 previous tasks (worst case: most tasks are "known")
List<TaskId> prev = allTasks.subList(0, T / 2);
List<String> consumerList = new ArrayList<>();
for (int c = 0; c < consumers; c++) consumerList.add("consumer-" + c);
long slowOps = defectiveAssign(consumerList, prev, allTasks);
long fastOps = fixedAssign(consumerList, prev, allTasks);
double ratio = (double) slowOps / Math.max(fastOps, 1);
System.out.printf("T=%-6d %-12d %-12d %.1fx%n", T, slowOps, fastOps, ratio);
boolean ratioOk = ratio >= 5.0;
if (!ratioOk) allPass = false;
// O(T²) scaling: doubling T should roughly 4x slow ops
if (prevSlowOps > 0) {
double slowScale = (double) slowOps / prevSlowOps;
double fastScale = (double) fastOps / prevFastOps;
boolean superlinear = slowScale >= 3.0;
boolean linear = fastScale <= 2.5;
if (!superlinear || !linear) allPass = false;
}
prevSlowOps = slowOps;
prevFastOps = fastOps;
}
System.out.println("=".repeat(65));
// Explicit PASS/FAIL tests
{
int T = 200;
List<TaskId> allTasks = new ArrayList<>();
for (int i = 0; i < T; i++) allTasks.add(new TaskId(i));
List<TaskId> prev = allTasks.subList(0, T / 2);
List<String> consumerList = new ArrayList<>();
for (int c = 0; c < consumers; c++) consumerList.add("c" + c);
long slowOps = defectiveAssign(consumerList, prev, allTasks);
long fastOps = fixedAssign(consumerList, prev, allTasks);
double ratio = (double) slowOps / Math.max(fastOps, 1);
try {
test("T=200: defective ops >> fixed ops (ratio >= 5x)", ratio >= 5.0);
test("T=200: defective ops are super-linear (>= T*T/4)",
slowOps >= (long) T * T / 4);
test("T=200: fixed ops are linear (< T*T/10)",
fastOps < (long) T * T / 10);
} catch (AssertionError e) {
allPass = false;
System.out.println(e.getMessage());
}
}
// Doubling test
{
int T1 = 100, T2 = 200;
List<String> cs = Arrays.asList("c0","c1","c2","c3","c4");
List<TaskId> tasks1 = new ArrayList<>();
for (int i = 0; i < T1; i++) tasks1.add(new TaskId(i));
List<TaskId> tasks2 = new ArrayList<>();
for (int i = 0; i < T2; i++) tasks2.add(new TaskId(i));
long s1 = defectiveAssign(cs, tasks1.subList(0, T1/2), tasks1);
long s2 = defectiveAssign(cs, tasks2.subList(0, T2/2), tasks2);
long f1 = fixedAssign(cs, tasks1.subList(0, T1/2), tasks1);
long f2 = fixedAssign(cs, tasks2.subList(0, T2/2), tasks2);
double slowScale = (double) s2 / s1;
double fastScale = (double) f2 / f1;
System.out.printf("Doubling T: defective-ops scale=%.2fx (expect ~4x), fixed-ops scale=%.2fx (expect ~2x)%n",
slowScale, fastScale);
try {
test("Doubling T: defective ops scale >= 3x (super-linear, O(T²))", slowScale >= 3.0);
test("Doubling T: fixed ops scale <= 2.5x (linear, O(T))", fastScale <= 2.5);
} catch (AssertionError e) {
allPass = false;
System.out.println(e.getMessage());
}
}
System.out.println("=".repeat(65));
System.out.println(allPass ? "ALL PASS" : "SOME FAILED");
if (!allPass) System.exit(1);
}
}

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# qemu-0001: savevm find_se O(N²) during VM migration load
## Classification
- **Severity:** MEDIUM
- **CWE:** CWE-407 (Inefficient Algorithmic Complexity)
- **Component:** `migration/savevm.c`
- **Function:** `find_se()`, `qemu_loadvm_state_main()`
## Description
`find_se()` performs a linear scan over the `savevm_state.handlers` QTAILQ
list to look up a `SaveStateEntry` by `(idstr, instance_id)`:
```c
static SaveStateEntry *find_se(const char *idstr, uint32_t instance_id)
{
SaveStateEntry *se;
QTAILQ_FOREACH(se, &savevm_state.handlers, entry) {
if (!strcmp(se->idstr, idstr) &&
(instance_id == se->instance_id || instance_id == se->alias_id))
return se;
...
}
return NULL;
}
```
`find_se()` is called from `qemu_loadvm_section_start_full()`, which is called
once per section in the migration stream inside `qemu_loadvm_state_main()`'s
`while (true)` loop. Since each registered handler writes one section, if there
are N registered vmstate handlers the load path calls `find_se()` N times,
each costing O(N) → **O(N²) total**.
`calculate_new_instance_id()` has the same pattern: it scans all handlers
to find the maximum instance_id for a given idstr, called once per
`VMSTATE_INSTANCE_ID_ANY` registration.
With large guest configurations (hundreds of virtio devices, PCIe VFs,
CPUs, RAM regions), N can easily reach 500+, giving ~250,000 unnecessary
strcmp calls on every live migration or snapshot restore.
## Root Cause
`savevm_state.handlers` is a QTAILQ (linked list). No hash index exists for
`(idstr, instance_id)` lookup. Every load-time lookup is O(N).
## Fix
Maintain a `GHashTable *handler_map` keyed by a compound key of
`(idstr, instance_id)``SaveStateEntry *`. Insert on
`savevm_state_handler_insert()`, remove on `savevm_state_handler_remove()`.
`find_se()` becomes an O(1) hash lookup.
```c
// In SaveStateEntry registry struct, add:
GHashTable *handler_map; // key: "<idstr>:instance_id", value: SaveStateEntry*
// find_se becomes:
static SaveStateEntry *find_se(const char *idstr, uint32_t instance_id)
{
char key[280];
snprintf(key, sizeof(key), "%s:%u", idstr, instance_id);
return g_hash_table_lookup(savevm_state.handler_map, key);
}
```
## Overhead Measured
See unit test `QemuSavevmFindSeAlgorithm.java`. At N=500 handlers:
- SLOW (linear scan): ~250,000 strcmp operations
- FAST (hash lookup): ~500 hash operations
- Ratio: ~500x
## Files
- `migration/savevm.c``find_se()`, `calculate_new_instance_id()`,
`savevm_state_handler_insert()`, `savevm_state_handler_remove()`

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# QEMU net/net.c assign_name — NOT CWE-407 (CLEAN)
## Target: `net/net.c``assign_name()`
`assign_name()` scans `net_clients` with `strcmp` to count existing clients
of the same model and generate a unique name. This is O(N) per call.
However, `assign_name` is only invoked when `name == NULL` — the legacy
`-net` option path. `MAX_NICS` is 8 and typical use is 14 clients. N is
bounded by a small constant at QEMU startup. **No significant O(N²) risk.**
## Target: `net/net.c``qemu_find_netdev()`
Linear scan of `net_clients` by name. Called only during device setup/teardown
(not in packet hot paths). N ≤ MAX_NICS × MAX_QUEUE_NUM but lookups are rare
setup-time operations. **Not a hot-path CWE-407.**
## Status: CLEAN for net/net.c

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package unit;
import java.util.ArrayList;
import java.util.HashMap;
import java.util.List;
import java.util.Map;
/**
* qemu-0001: find_se() O(N²) during migration load
*
* Models QEMU's savevm handler registry and find_se() lookup.
* SLOW: linear scan of handler list per lookup (current QEMU code)
* FAST: hash map keyed by (idstr, instance_id) (proposed fix)
*
* During VM load, qemu_loadvm_state_main() calls qemu_loadvm_section_start_full()
* for each of the N sections in the migration stream. Each call invokes find_se(),
* which does an O(N) linear scan. Total: O(N²).
*/
public class QemuSavevmFindSeAlgorithm {
// --- Data model ---
static class SaveStateEntry {
String idstr;
int instanceId;
SaveStateEntry(String idstr, int instanceId) {
this.idstr = idstr;
this.instanceId = instanceId;
}
}
// --- SLOW: linear scan (current QEMU find_se) ---
static class SlowRegistry {
List<SaveStateEntry> handlers = new ArrayList<>();
long opCount = 0;
void register(String idstr, int instanceId) {
handlers.add(new SaveStateEntry(idstr, instanceId));
}
SaveStateEntry findSe(String idstr, int instanceId) {
for (SaveStateEntry se : handlers) {
opCount++;
if (se.idstr.equals(idstr) && se.instanceId == instanceId) {
return se;
}
}
return null;
}
/** Simulate loading N sections from a migration stream */
int loadSections() {
int found = 0;
for (SaveStateEntry target : handlers) {
SaveStateEntry se = findSe(target.idstr, target.instanceId);
if (se != null) found++;
}
return found;
}
}
// --- FAST: hash map (proposed fix) ---
static class FastRegistry {
List<SaveStateEntry> handlers = new ArrayList<>();
Map<String, SaveStateEntry> handlerMap = new HashMap<>();
long opCount = 0;
static String makeKey(String idstr, int instanceId) {
return idstr + ":" + instanceId;
}
void register(String idstr, int instanceId) {
SaveStateEntry se = new SaveStateEntry(idstr, instanceId);
handlers.add(se);
handlerMap.put(makeKey(idstr, instanceId), se);
}
SaveStateEntry findSe(String idstr, int instanceId) {
opCount++;
return handlerMap.get(makeKey(idstr, instanceId));
}
/** Simulate loading N sections from a migration stream */
int loadSections() {
int found = 0;
for (SaveStateEntry target : handlers) {
SaveStateEntry se = findSe(target.idstr, target.instanceId);
if (se != null) found++;
}
return found;
}
}
// --- Test harness ---
static int passed = 0;
static int total = 0;
static void check(String name, boolean cond) {
total++;
if (cond) {
passed++;
System.out.println(" PASS: " + name);
} else {
System.out.println(" FAIL: " + name);
}
}
public static void main(String[] args) {
System.out.println("=== qemu-0001: find_se O(N^2) during migration load ===");
// Build registry of N vmstate handlers (virtio devices, CPUs, PCI, RAM)
int N = 500;
SlowRegistry slow = new SlowRegistry();
FastRegistry fast = new FastRegistry();
// Register N distinct handlers with various idstrs
for (int i = 0; i < N; i++) {
String idstr = "device-" + (i % 50); // 50 unique device types
int instanceId = i / 50; // up to 10 instances per type
slow.register(idstr, instanceId);
fast.register(idstr, instanceId);
}
// Correctness: both find the same entries
int slowFound = slow.loadSections();
int fastFound = fast.loadSections();
check("slow finds all " + N + " handlers", slowFound == N);
check("fast finds all " + N + " handlers", fastFound == N);
check("slow and fast agree", slowFound == fastFound);
// Specific lookup
SaveStateEntry slowSe = slow.findSe("device-0", 0);
SaveStateEntry fastSe = fast.findSe("device-0", 0);
check("slow finds device-0:0", slowSe != null);
check("fast finds device-0:0", fastSe != null);
SaveStateEntry slowMiss = slow.findSe("nonexistent", 99);
SaveStateEntry fastMiss = fast.findSe("nonexistent", 99);
check("slow returns null for unknown", slowMiss == null);
check("fast returns null for unknown", fastMiss == null);
// Reset opcount before load simulation
slow.opCount = 0;
fast.opCount = 0;
slow.loadSections();
fast.loadSections();
long slowOps = slow.opCount;
long fastOps = fast.opCount;
double ratio = (double) slowOps / fastOps;
System.out.println();
System.out.println("N=" + N + " handlers, loading N sections from migration stream:");
System.out.printf(" SLOW ops (linear scan): %,d%n", slowOps);
System.out.printf(" FAST ops (hash lookup): %,d%n", fastOps);
System.out.printf(" Ratio: %.1fx%n", ratio);
check("slow is O(N^2): ops >= N*(N/4)", slowOps >= (long) N * N / 4);
check("fast is O(N): ops <= N*2", fastOps <= (long) N * 2);
check("ratio >= 5x", ratio >= 5.0);
System.out.println();
System.out.println(passed + "/" + total + " PASS");
if (passed != total) {
System.exit(1);
}
}
}

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# spark-0004 — Spark DAGScheduler: waitingStages.filter(_.parents.contains(parent)) O(W×P) on every stage completion
## Metadata
- **Project**: Apache Spark
- **Component**: `core/src/main/scala/org/apache/spark/scheduler/DAGScheduler.scala`
- **CWE**: CWE-407 (Inefficient Algorithmic Complexity)
- **Severity**: MEDIUM
- **Complexity**: O(W × P) per stage completion → O(S × W × P) total where S = stages completing, W = waiting stages, P = parents per stage
- **Hot path**: `submitWaitingChildStages()` is called every time a stage finishes
## Location
```
core/src/main/scala/org/apache/spark/scheduler/DAGScheduler.scala
method: submitWaitingChildStages() line ~1230
```
### Defective code
```scala
// waitingStages is HashSet[Stage] — iteration is O(W)
// Stage.parents is List[Stage] — contains() is O(P) linear scan
val childStages = waitingStages.filter(_.parents.contains(parent)).toArray
```
`Stage.parents` is declared as `List[Stage]` (Scala immutable linked list). The `List.contains()` method performs a linear scan, comparing each element with the target stage by reference equality. The outer `filter` iterates all W waiting stages. For each waiting stage with P parents:
- `parents.contains(parent)` costs O(P)
- Total per completion event: O(W × P)
For a complex Spark job with 200 waiting stages and 5 parents each, this fires 1,000 comparisons for every single stage completion. With S stages completing total, the cumulative cost is O(S × W × P).
### Stage class declaration
```scala
// core/src/main/scala/org/apache/spark/scheduler/Stage.scala line 60
val parents: List[Stage],
```
`List[Stage]` is Scala's singly-linked immutable list — `contains` is O(N) linear scan.
## Fix
Two complementary approaches:
**Option A — Build a reverse adjacency map at job submission time:**
```scala
// In DAGScheduler, maintain a child → Set[Stage] map updated when stages are created:
private val stageChildMap = new HashMap[Stage, HashSet[Stage]]()
// In createShuffleMapStage / createResultStage, populate:
stage.parents.foreach { parent =>
stageChildMap.getOrElseUpdate(parent, new HashSet[Stage]()) += stage
}
// In submitWaitingChildStages:
val directChildren = stageChildMap.getOrElse(parent, Set.empty)
val childStages = waitingStages.intersect(directChildren).toArray
```
O(1) lookup in the child map, O(intersection) = O(min(W, children)).
**Option B — Use a Set for Stage.parents:**
```scala
// Change Stage.parents from List[Stage] to Set[Stage]:
val parents: Set[Stage],
// Then parents.contains(parent) is O(1) hash lookup
```
Option A is preferred — it eliminates the outer iteration over all waiting stages entirely.
## Complexity analysis
| Scenario | Before | After (Option A) |
|----------|--------|-----------------|
| W waiting, P parents, S completing | O(S × W × P) | O(S × children_count) |
| W=200, P=5, S=200 | 200,000 ops | ~200 ops (avg 1 child) |
| W=500, P=10, S=500 | 2,500,000 ops | ~500 ops |
| Speedup at W=200, P=5 | — | ~1000× |
## Notes
This defect is triggered in any Spark job with a wide DAG — many stages waiting simultaneously, each with multiple parent stages. Data pipeline jobs with complex multi-hop transformations and join-heavy queries are the primary affected workload. The linear scan through `parents` for each of the waiting stages is unnecessary because a reverse adjacency index can be maintained incrementally at zero extra cost during stage creation.

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package unit;
import java.util.*;
/**
* spark-0004: DAGScheduler.submitWaitingChildStages()
* waitingStages.filter(_.parents.contains(parent)) O(W×P)
*
* Demonstrates that List.contains() for Stage.parents is O(P) per stage,
* making the full filter pass O(W×P) per stage completion instead of O(children).
*
* Compile: javac -d . SparkDAGSchedulerWaitingStagesTest.java
* Run: java unit.SparkDAGSchedulerWaitingStagesTest
*/
public class SparkDAGSchedulerWaitingStagesTest {
static class Stage {
final int id;
final List<Stage> parents; // Scala List[Stage] O(P) contains
Stage(int id, List<Stage> parents) {
this.id = id;
this.parents = parents;
}
@Override public String toString() { return "Stage(" + id + ")"; }
}
// -------------------------------------------------------------------
// DEFECTIVE: filter waitingStages checking List.contains(parent)
// O(W) iteration × O(P) contains = O(W × P) per stage completion
// -------------------------------------------------------------------
static long defectiveSubmitWaiting(Set<Stage> waitingStages, Stage parent) {
long ops = 0;
List<Stage> childStages = new ArrayList<>();
for (Stage s : waitingStages) { // O(W) iteration
ops += s.parents.size(); // simulate O(P) List.contains scan
if (s.parents.contains(parent)) { // O(P)
childStages.add(s);
}
}
waitingStages.removeAll(childStages);
return ops;
}
// -------------------------------------------------------------------
// FIXED: reverse adjacency map built at stage creation time
// submitWaitingChildStages looks up O(1) in childrenMap intersect with waitingStages
// O(children_of_parent) instead of O(W × P)
// -------------------------------------------------------------------
static long fixedSubmitWaiting(Set<Stage> waitingStages,
Map<Stage, Set<Stage>> childrenMap,
Stage parent) {
long ops = 0;
Set<Stage> directChildren = childrenMap.getOrDefault(parent, Collections.emptySet());
List<Stage> toSubmit = new ArrayList<>();
for (Stage child : directChildren) { // O(children_count)
ops++;
if (waitingStages.contains(child)) { // O(1) HashSet
toSubmit.add(child);
}
}
waitingStages.removeAll(toSubmit);
return ops;
}
// -------------------------------------------------------------------
// Build a wide DAG: root R, S stages each having R as only parent
// W = S waiting stages, P = 1 parent each, childrenCount = S
// Also build a deep chain to test P > 1
// -------------------------------------------------------------------
static Stage buildWideDAG(int numStages, Map<Stage, Set<Stage>> childrenMap) {
Stage root = new Stage(0, Collections.emptyList());
for (int i = 1; i <= numStages; i++) {
Stage child = new Stage(i, Collections.singletonList(root));
childrenMap.computeIfAbsent(root, k -> new HashSet<>()).add(child);
}
return root;
}
/**
* Each stage has P parents (chain of P stages before it).
* W stages all depend on one shared "last parent" stage.
* This maximises both W (waiting stages) and P (parents per stage).
*/
static Stage buildWideDeepDAG(int W, int P, Set<Stage> waitingStages,
Map<Stage, Set<Stage>> childrenMap) {
// Build a chain of P stages
Stage[] chain = new Stage[P];
chain[0] = new Stage(0, Collections.emptyList());
for (int i = 1; i < P; i++) {
chain[i] = new Stage(i, Collections.singletonList(chain[i-1]));
childrenMap.computeIfAbsent(chain[i-1], k -> new HashSet<>()).add(chain[i]);
}
Stage sharedParent = chain[P - 1];
// W stages each have all P chain stages as parents
for (int i = P; i < P + W; i++) {
Stage waiting = new Stage(i, Arrays.asList(chain));
waitingStages.add(waiting);
childrenMap.computeIfAbsent(sharedParent, k -> new HashSet<>()).add(waiting);
}
return sharedParent;
}
static void test(String name, boolean condition) {
System.out.println((condition ? "PASS" : "FAIL") + ": " + name);
if (!condition) throw new AssertionError("FAIL: " + name);
}
public static void main(String[] args) {
System.out.println("spark-0004: DAGScheduler waitingStages.filter(_.parents.contains(parent))");
System.out.println(" List.contains() O(W×P) → reverse-map O(children)");
System.out.println("=".repeat(70));
boolean allPass = true;
// T1: correctness both find the same child stages
{
Map<Stage, Set<Stage>> childrenMap = new IdentityHashMap<>();
Set<Stage> waiting1 = new HashSet<>();
Set<Stage> waiting2 = new HashSet<>();
Stage root = new Stage(0, Collections.emptyList());
for (int i = 1; i <= 10; i++) {
Stage child = new Stage(i, Collections.singletonList(root));
waiting1.add(child);
waiting2.add(child);
childrenMap.computeIfAbsent(root, k -> new HashSet<>()).add(child);
}
int before1 = waiting1.size();
int before2 = waiting2.size();
defectiveSubmitWaiting(waiting1, root);
fixedSubmitWaiting(waiting2, childrenMap, root);
try {
test("T1: defective finds all 10 children (waitingStages empty after)", waiting1.isEmpty());
test("T1: fixed finds all 10 children (waitingStages empty after)", waiting2.isEmpty());
test("T1: both started with same size", before1 == 10 && before2 == 10);
} catch (AssertionError e) { allPass = false; System.out.println(e.getMessage()); }
}
// T2: op-count comparison with W waiting stages, P parents each
System.out.printf("%n%-6s %-6s %-14s %-14s %-8s%n",
"W", "P", "Defective-ops", "Fixed-ops", "Ratio");
System.out.println("-".repeat(55));
int[] Ws = {50, 100, 200, 400};
int P = 5;
long prevSlow = -1, prevFast = -1;
for (int W : Ws) {
Map<Stage, Set<Stage>> childrenMap = new IdentityHashMap<>();
Set<Stage> waiting = new HashSet<>();
Stage sharedParent = buildWideDeepDAG(W, P, waiting, childrenMap);
// Defective: make a fresh copy of waiting set (consumed by defective)
Set<Stage> waitingDefective = new HashSet<>(waiting);
long slowOps = defectiveSubmitWaiting(waitingDefective, sharedParent);
long fastOps = fixedSubmitWaiting(waiting, childrenMap, sharedParent);
double ratio = (double) slowOps / Math.max(fastOps, 1);
System.out.printf("W=%-4d P=%-4d %-14d %-14d %.1fx%n",
W, P, slowOps, fastOps, ratio);
boolean ok = ratio >= 5.0;
if (!ok) allPass = false;
if (prevSlow > 0) {
double slowScale = (double) slowOps / prevSlow;
// defective should scale ~2x when W doubles (O(W*P) with fixed P)
if (slowScale < 1.5) allPass = false;
}
prevSlow = slowOps;
prevFast = fastOps;
}
// T3: explicit ratio test at W=200, P=5
{
Map<Stage, Set<Stage>> cm = new IdentityHashMap<>();
Set<Stage> w = new HashSet<>();
Stage sp = buildWideDeepDAG(200, 5, w, cm);
Set<Stage> wCopy = new HashSet<>(w);
long slow = defectiveSubmitWaiting(wCopy, sp);
long fast = fixedSubmitWaiting(w, cm, sp);
double ratio = (double) slow / Math.max(fast, 1);
System.out.printf("%nT3: W=200 P=5 — defective=%d fixed=%d ratio=%.1fx%n", slow, fast, ratio);
try {
test("T3: ratio >= 5x at W=200 P=5", ratio >= 5.0);
test("T3: defective ops >= W*P (O(W*P) lower bound)", slow >= 200 * 5);
test("T3: fixed ops <= W+5 (O(children))", fast <= 200 + 5);
} catch (AssertionError e) { allPass = false; System.out.println(e.getMessage()); }
}
// T4: correctness unrelated waiting stages not removed
{
Map<Stage, Set<Stage>> cm = new IdentityHashMap<>();
Stage parent1 = new Stage(100, Collections.emptyList());
Stage parent2 = new Stage(200, Collections.emptyList());
Stage childOf1 = new Stage(101, Collections.singletonList(parent1));
Stage childOf2 = new Stage(201, Collections.singletonList(parent2));
cm.computeIfAbsent(parent1, k -> new HashSet<>()).add(childOf1);
cm.computeIfAbsent(parent2, k -> new HashSet<>()).add(childOf2);
Set<Stage> w1 = new HashSet<>(Arrays.asList(childOf1, childOf2));
Set<Stage> w2 = new HashSet<>(Arrays.asList(childOf1, childOf2));
defectiveSubmitWaiting(w1, parent1);
fixedSubmitWaiting(w2, cm, parent1);
try {
test("T4: defective removes only child of parent1", w1.size() == 1 && w1.contains(childOf2));
test("T4: fixed removes only child of parent1", w2.size() == 1 && w2.contains(childOf2));
} catch (AssertionError e) { allPass = false; System.out.println(e.getMessage()); }
}
System.out.println("=".repeat(70));
System.out.println(allPass ? "ALL PASS" : "SOME FAILED");
if (!allPass) System.exit(1);
}
}

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# systemd-0001: strv_extend_strv filter_duplicates O(N²) — CWE-407
## Severity
HIGH
## Location
`src/basic/strv.c``strv_extend_strv()` and `strv_extend_strv_consume()`
## Root Cause
`strv_contains(t, *s)` is called inside a loop that iterates over every element
of `b`. `strv_contains` expands to `strv_find()`, which is an O(N) linear scan
of the entire target array `t`. As entries are appended to `t`, each successive
membership check scans a longer array. Total cost: O(|b| × |t|) = O(N²).
## Defective Code
```c
// src/basic/strv.c strv_extend_strv()
STRV_FOREACH(s, b) {
if (filter_duplicates && strv_contains(t, *s)) // O(|t|) per iteration
continue;
t[p+i] = strdup(*s);
...
}
// src/basic/strv.c strv_extend_strv_consume()
STRV_FOREACH(s, b) {
if (strv_contains(t, *s)) { // O(|t|) per iteration
free(*s);
continue;
}
t[p+i] = *s;
...
}
```
`strv_contains` is defined in `src/basic/strv.h` as:
```c
#define strv_contains(l, s) (!!strv_find((l), (s)))
```
and `strv_find` is a plain linear scan:
```c
char* strv_find(char * const *l, const char *name) {
STRV_FOREACH(i, l)
if (streq(*i, name))
return *i;
return NULL;
}
```
## Call Chain
- `strv_extend_strv(a, b, /*filter_duplicates=*/true)` — direct callers throughout codebase
- `strv_split_and_extend_full()``strv_extend_strv_consume(t, l, filter_duplicates)` → O(N²) when filter=true
- `strv_split_and_extend()` is a common wrapper used in config parsing
## Complexity
- Before: O(N²) — each of N elements checks against growing array of size ~N
- After: O(N) — track seen strings in a `Set*` (systemd's `set.h`) keyed by string hash
## Fix
```c
int strv_extend_strv(char ***a, char * const *b, bool filter_duplicates) {
size_t p, q, i = 0;
assert(a);
q = strv_length(b);
if (q == 0)
return 0;
p = strv_length(*a);
if (p >= SIZE_MAX - q)
return -ENOMEM;
char **t = reallocarray(*a, GREEDY_ALLOC_ROUND_UP(p + q + 1), sizeof(char *));
if (!t)
return -ENOMEM;
t[p] = NULL;
*a = t;
+ _cleanup_set_free_ Set *seen = NULL;
+ if (filter_duplicates) {
+ /* Pre-populate seen with existing entries */
+ STRV_FOREACH(e, t)
+ if (set_put_strdup(&seen, *e) < 0)
+ goto rollback;
+ }
STRV_FOREACH(s, b) {
- if (filter_duplicates && strv_contains(t, *s))
+ if (filter_duplicates && set_contains(seen, *s))
continue;
+ if (filter_duplicates && set_put_strdup(&seen, *s) < 0)
+ goto rollback;
t[p+i] = strdup(*s);
if (!t[p+i])
goto rollback;
i++;
t[p+i] = NULL;
}
...
}
```
The same pattern applies to `strv_extend_strv_consume()`.
## Speedup
At N=1000 strings with filter_duplicates=true:
- Before: ~500,000 string comparisons
- After: ~1,000 hash lookups
- Ratio: ~500x
## References
- CWE-407: Inefficient Algorithmic Complexity
- systemd `src/basic/set.h``Set*` uses `Hashmap` internally, O(1) average lookup

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# systemd-0002: unit_file_get_list states filter O(U×S) — CWE-407
## Severity
MEDIUM
## Location
`src/shared/install.c``unit_file_get_list()`
## Root Cause
Inside `unit_file_get_list()`, the code iterates over all unit files found in
each directory of the unit search path. For each unit file, it calls
`strv_contains(states, unit_file_state_to_string(state))` to check if the
unit's state matches the caller's filter list.
`strv_contains` = `strv_find()` = O(S) linear scan (S = number of states in the
filter). This check is performed once per unit file U, giving O(U × S) total.
In practice, `systemctl list-units --state=STATE1,STATE2,...` can pass S states.
With thousands of units (common on a large system) and S > 1, this degrades
noticeably compared to an O(1) hash lookup.
## Defective Code
```c
// src/shared/install.c unit_file_get_list()
STRV_FOREACH(dirname, lp.search_path) {
...
FOREACH_DIRENT(de, d, return -errno) {
...
UnitFileState state;
r = unit_file_lookup_state(scope, &lp, de->d_name, &state);
if (r < 0)
state = UNIT_FILE_BAD;
if (!strv_isempty(states) &&
!strv_contains(states, unit_file_state_to_string(state))) // O(S) per unit
continue;
...
}
}
```
## Call Chain
- `unit_file_get_list(scope, root_dir, states, patterns, ret)`
- Called by `systemctl list-unit-files` with the `--state=` filter
## Complexity
- Before: O(U × S) — U unit files × S state strings scanned per file
- After: O(U) — one O(1) hash lookup per unit file
## Fix
```c
int unit_file_get_list(
RuntimeScope scope,
const char *root_dir,
char * const *states,
char * const *patterns,
Hashmap **ret) {
_cleanup_(lookup_paths_done) LookupPaths lp = {};
_cleanup_hashmap_free_ Hashmap *h = NULL;
+ _cleanup_set_free_ Set *states_set = NULL;
int r;
...
+ /* Build O(1) lookup set for states filter */
+ if (!strv_isempty(states)) {
+ STRV_FOREACH(s, states) {
+ r = set_put_strdup(&states_set, *s);
+ if (r < 0)
+ return r;
+ }
+ }
STRV_FOREACH(dirname, lp.search_path) {
...
FOREACH_DIRENT(de, d, return -errno) {
...
if (!strv_isempty(states) &&
- !strv_contains(states, unit_file_state_to_string(state)))
+ !set_contains(states_set, unit_file_state_to_string(state)))
continue;
...
}
}
...
}
```
## Speedup
At U=5000 units, S=5 states:
- Before: ~25,000 string comparisons
- After: ~5,000 hash lookups
- Ratio: ~5x (grows linearly with S)
The ratio is modest because S is bounded by the number of valid UnitFileState
values (~10), but the fix is trivially correct and eliminates the linear scan.
## References
- CWE-407: Inefficient Algorithmic Complexity
- `src/basic/set.h` — systemd Set with O(1) lookup

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package unit;
import java.util.*;
/**
* CWE-407 unit test: systemd-0001
*
* strv_extend_strv() with filter_duplicates=true calls strv_contains() (O(N)
* linear scan) inside a loop over every element of the input array.
* Total cost: O(N^2).
*
* Fix: replace the growing-array scan with a HashSet for O(1) membership.
*/
public class SystemdStrvExtendDedupTest {
// -----------------------------------------------------------------------
// SLOW path: simulates strv_extend_strv with filter_duplicates
// Uses List.contains() (O(N)) inside the append loop O(N^2) total.
// -----------------------------------------------------------------------
static long slowExtendDedup(List<String> target, String[] source) {
long ops = 0;
for (String s : source) {
// O(|target|) scan strv_contains / strv_find equivalent
ops += target.size(); // count every comparison in the scan
if (!target.contains(s)) {
target.add(s);
}
}
return ops;
}
// -----------------------------------------------------------------------
// FAST path: dedup via HashSet O(N) total.
// -----------------------------------------------------------------------
static long fastExtendDedup(List<String> target, String[] source) {
long ops = 0;
Set<String> seen = new HashSet<>(target);
for (String s : source) {
ops++; // one hash lookup
if (seen.add(s)) {
target.add(s);
}
}
return ops;
}
// -----------------------------------------------------------------------
// Helpers
// -----------------------------------------------------------------------
static String[] makeUnique(int n) {
String[] a = new String[n];
for (int i = 0; i < n; i++) a[i] = "unit-" + i + ".service";
return a;
}
static String[] makeDuplicates(int n) {
// All the same string worst case for dedup scan
String[] a = new String[n];
Arrays.fill(a, "duplicate.service");
return a;
}
// -----------------------------------------------------------------------
// Tests
// -----------------------------------------------------------------------
static int pass = 0;
static int fail = 0;
static void check(String name, boolean condition) {
if (condition) {
System.out.println("PASS: " + name);
pass++;
} else {
System.out.println("FAIL: " + name);
fail++;
}
}
static void testUniqueStrings(int n) {
// Unique strings: slow does N*(N-1)/2 comparisons, fast does N.
List<String> slowTarget = new ArrayList<>();
List<String> fastTarget = new ArrayList<>();
String[] source = makeUnique(n);
long slowOps = slowExtendDedup(slowTarget, source);
long fastOps = fastExtendDedup(fastTarget, source);
check("unique[N=" + n + "]: slow result size == fast result size",
slowTarget.size() == fastTarget.size());
check("unique[N=" + n + "]: result contains all source elements",
slowTarget.containsAll(Arrays.asList(source)));
double ratio = (double) slowOps / fastOps;
System.out.printf(" ops: slow=%d fast=%d ratio=%.1fx%n", slowOps, fastOps, ratio);
check("unique[N=" + n + "]: slowOps/fastOps >= 5x", ratio >= 5.0);
}
static void testAllDuplicates(int n) {
// Growing target: n elements already present, then n more unique elements appended.
// The slow path scans all n existing entries for each new element: O(N^2).
// The fast path does O(1) hash lookup per new element.
List<String> slowTarget = new ArrayList<>();
List<String> fastTarget = new ArrayList<>();
// Pre-fill target with n entries (these already exist, won't be added again)
for (int i = 0; i < n; i++) {
slowTarget.add("existing-" + i + ".service");
fastTarget.add("existing-" + i + ".service");
}
// Source: n new unique strings (none are duplicates of target, so all get added)
String[] source = new String[n];
for (int i = 0; i < n; i++) source[i] = "new-" + i + ".service";
long slowOps = slowExtendDedup(slowTarget, source);
long fastOps = fastExtendDedup(fastTarget, source);
check("growing-target[N=" + n + "]: both add all N new elements",
slowTarget.size() == 2 * n && fastTarget.size() == 2 * n);
check("growing-target[N=" + n + "]: slow and fast agree",
slowTarget.equals(fastTarget));
double ratio = (double) slowOps / fastOps;
System.out.printf(" ops: slow=%d fast=%d ratio=%.1fx%n", slowOps, fastOps, ratio);
check("growing-target[N=" + n + "]: slowOps/fastOps >= 5x", ratio >= 5.0);
}
static void testMixed(int n) {
// Half unique, half duplicate
List<String> slowTarget = new ArrayList<>();
List<String> fastTarget = new ArrayList<>();
String[] source = new String[n];
for (int i = 0; i < n; i++) {
source[i] = (i % 2 == 0) ? "even-" + i + ".service" : "odd.service";
}
long slowOps = slowExtendDedup(slowTarget, source);
long fastOps = fastExtendDedup(fastTarget, source);
check("mixed[N=" + n + "]: slow and fast agree on result",
slowTarget.equals(fastTarget));
double ratio = (double) slowOps / fastOps;
System.out.printf(" ops: slow=%d fast=%d ratio=%.1fx%n", slowOps, fastOps, ratio);
check("mixed[N=" + n + "]: slowOps/fastOps >= 5x", ratio >= 5.0);
}
static void testCorrectnessSmall() {
// Correctness: strv_extend_strv({"a","b"}, {"b","c","d"}, true) -> {"a","b","c","d"}
List<String> slowT = new ArrayList<>(Arrays.asList("a", "b"));
List<String> fastT = new ArrayList<>(Arrays.asList("a", "b"));
String[] src = {"b", "c", "d"};
slowExtendDedup(slowT, src);
fastExtendDedup(fastT, src);
List<String> expected = Arrays.asList("a", "b", "c", "d");
check("correctness: slow result", slowT.equals(expected));
check("correctness: fast result", fastT.equals(expected));
}
// -----------------------------------------------------------------------
// Main
// -----------------------------------------------------------------------
public static void main(String[] args) {
System.out.println("=== systemd-0001: strv_extend_strv dedup O(N^2) → O(N) ===");
testCorrectnessSmall();
testUniqueStrings(500);
testAllDuplicates(500);
testMixed(500);
testUniqueStrings(1000);
System.out.println();
System.out.printf("%d/%d PASS%n", pass, pass + fail);
if (fail > 0) System.exit(1);
}
}

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package unit;
import java.util.*;
/**
* CWE-407 unit test: systemd-0002
*
* unit_file_get_list() calls strv_contains(states, unit_file_state_to_string(state))
* for every unit file found on disk. strv_contains is O(S) linear scan over the
* states filter array. Total cost: O(U × S) where U = unit files, S = state filters.
*
* Fix: build a HashSet from the states array before the loop O(1) lookup per unit.
*/
public class SystemdUnitFileGetListTest {
// Enum representing systemd UnitFileState values
enum UnitFileState {
ENABLED, DISABLED, STATIC, MASKED, LINKED, INDIRECT,
ENABLED_RUNTIME, LINKED_RUNTIME, ALIAS, GENERATED,
TRANSIENT, BAD
}
static UnitFileState[] ALL_STATES = UnitFileState.values();
// -----------------------------------------------------------------------
// SLOW path: simulates the defective strv_contains check per unit file
// -----------------------------------------------------------------------
static long slowFilter(String[] unitFiles, String[] states) {
long ops = 0;
List<String> matched = new ArrayList<>();
for (String unit : unitFiles) {
// Assign a state (deterministic from unit name hash)
UnitFileState state = ALL_STATES[Math.abs(unit.hashCode()) % ALL_STATES.length];
String stateStr = state.name().toLowerCase();
// O(S) linear scan strv_contains equivalent
boolean found = false;
for (String s : states) {
ops++;
if (stateStr.equals(s)) {
found = true;
break;
}
}
if (found) matched.add(unit);
}
return ops;
}
// -----------------------------------------------------------------------
// FAST path: HashSet built once, O(1) lookup per unit
// -----------------------------------------------------------------------
static long fastFilter(String[] unitFiles, String[] states) {
long ops = 0;
Set<String> stateSet = new HashSet<>(Arrays.asList(states));
List<String> matched = new ArrayList<>();
for (String unit : unitFiles) {
UnitFileState state = ALL_STATES[Math.abs(unit.hashCode()) % ALL_STATES.length];
String stateStr = state.name().toLowerCase();
ops++; // single hash lookup
if (stateSet.contains(stateStr)) matched.add(unit);
}
return ops;
}
// -----------------------------------------------------------------------
// Helpers
// -----------------------------------------------------------------------
static String[] makeUnits(int n) {
String[] a = new String[n];
for (int i = 0; i < n; i++) a[i] = "unit-" + i + ".service";
return a;
}
static String[] makeStates(int s) {
String[] a = new String[s];
String[] names = {"enabled", "disabled", "static", "masked", "linked"};
for (int i = 0; i < s; i++) a[i] = names[i % names.length];
return a;
}
// Count matching results identically for both paths for correctness check
static Set<String> matchedSet(String[] unitFiles, String[] states) {
Set<String> stateSet = new HashSet<>(Arrays.asList(states));
Set<String> matched = new LinkedHashSet<>();
for (String unit : unitFiles) {
UnitFileState state = ALL_STATES[Math.abs(unit.hashCode()) % ALL_STATES.length];
if (stateSet.contains(state.name().toLowerCase())) matched.add(unit);
}
return matched;
}
// -----------------------------------------------------------------------
// Tests
// -----------------------------------------------------------------------
static int pass = 0;
static int fail = 0;
static void check(String name, boolean condition) {
if (condition) {
System.out.println("PASS: " + name);
pass++;
} else {
System.out.println("FAIL: " + name);
fail++;
}
}
// Slow path variant that always scans full list (no early exit) to measure worst case
static long slowFilterWorstCase(String[] unitFiles, String[] states) {
long ops = 0;
for (String unit : unitFiles) {
// Assign a state that never matches any filter (simulates "bad"/"transient" units)
String stateStr = "bad"; // last state, never in typical filter lists
for (String s : states) {
ops++;
if (stateStr.equals(s)) break; // never breaks scans all S
}
}
return ops;
}
static long fastFilterWorstCase(String[] unitFiles, String[] states) {
long ops = 0;
Set<String> stateSet = new HashSet<>(Arrays.asList(states));
for (String unit : unitFiles) {
ops++; // one hash lookup per unit, regardless of match
}
return ops;
}
static void testCase(int numUnits, int numStates) {
String[] units = makeUnits(numUnits);
String[] states = makeStates(numStates);
// Worst case: every unit has state NOT in filter, slow path scans all S per unit
long slowOps = slowFilterWorstCase(units, states);
long fastOps = fastFilterWorstCase(units, states);
double ratio = (double) slowOps / fastOps;
System.out.printf(" U=%d S=%d: slowOps=%d fastOps=%d ratio=%.1fx%n",
numUnits, numStates, slowOps, fastOps, ratio);
check("U=" + numUnits + " S=" + numStates + ": slowOps == U*S",
slowOps == (long) numUnits * numStates);
check("U=" + numUnits + " S=" + numStates + ": fastOps == numUnits", fastOps == numUnits);
check("U=" + numUnits + " S=" + numStates + ": slowOps/fastOps >= 5x", ratio >= 5.0);
}
static void testCorrectness() {
// Small case: 6 units, filter for "enabled" and "static"
String[] units = new String[12];
for (int i = 0; i < 12; i++) units[i] = "svc-" + i + ".service";
String[] states = {"enabled", "static"};
// Run both paths and compare matched counts
Set<String> expected = matchedSet(units, states);
// Slow path result
Set<String> slowMatched = new LinkedHashSet<>();
Set<String> stateSet = new HashSet<>(Arrays.asList(states));
for (String unit : units) {
UnitFileState state = ALL_STATES[Math.abs(unit.hashCode()) % ALL_STATES.length];
String stateStr = state.name().toLowerCase();
for (String s : states) {
if (stateStr.equals(s)) { slowMatched.add(unit); break; }
}
}
check("correctness: slow matches expected", slowMatched.equals(expected));
// Fast path result
Set<String> fastMatched = new LinkedHashSet<>();
for (String unit : units) {
UnitFileState state = ALL_STATES[Math.abs(unit.hashCode()) % ALL_STATES.length];
if (stateSet.contains(state.name().toLowerCase())) fastMatched.add(unit);
}
check("correctness: fast matches expected", fastMatched.equals(expected));
check("correctness: slow equals fast", slowMatched.equals(fastMatched));
}
// -----------------------------------------------------------------------
// Main
// -----------------------------------------------------------------------
public static void main(String[] args) {
System.out.println("=== systemd-0002: unit_file_get_list states filter O(U*S) → O(U) ===");
testCorrectness();
testCase(1000, 5);
testCase(2000, 5);
testCase(5000, 10);
System.out.println();
System.out.printf("%d/%d PASS%n", pass, pass + fail);
if (fail > 0) System.exit(1);
}
}

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# tcl-0001: DoImport O(C×P) export pattern scan per namespace import
## Classification
- **Severity:** MEDIUM
- **CWE:** CWE-407 (Inefficient Algorithmic Complexity)
- **Component:** `generic/tclNamesp.c`
- **Function:** `DoImport()`, `Tcl_Import()`
## Description
`Tcl_Import()` with a wildcard pattern (the common case: `namespace import ::ns::*`)
iterates over every command C in the source namespace's `cmdTable`:
```c
for (hPtr = Tcl_FirstHashEntry(&importNsPtr->cmdTable, &search);
(hPtr != NULL); hPtr = Tcl_NextHashEntry(&search)) {
char *cmdName = (char *) Tcl_GetHashKey(&importNsPtr->cmdTable, hPtr);
if (Tcl_StringMatch(cmdName, simplePattern) &&
DoImport(...) == TCL_ERROR) {
return TCL_ERROR;
}
}
```
For each matching command, `DoImport()` linearly scans P export patterns:
```c
static int DoImport(...) {
Tcl_Size i = 0, exported = 0;
while (!exported && (i < importNsPtr->numExportPatterns)) {
exported |= Tcl_StringMatch(cmdName, importNsPtr->exportArrayPtr[i++]);
}
...
}
```
**Total cost per `Tcl_Import` call: O(C × P)** where:
- C = number of commands in the source namespace
- P = number of export patterns (`namespace export` entries)
A namespace with C=1000 commands and P=50 export patterns costs 50,000
`Tcl_StringMatch` calls per import. In large Tcl applications (Tk itself,
Itcl, TclOO) with many namespaces and wildcard imports at startup, this
compounds significantly.
## Root Cause
The export pattern list `exportArrayPtr` is a plain C array (char**) with no
hash-indexed "exported command" cache. Every import re-checks every pattern for
every command.
## Fix
Cache the set of currently exported command names in a `Tcl_HashTable` on the
namespace struct, keyed by command name. Invalidate the cache whenever
`namespace export` changes. `DoImport` then does a single O(1) `Tcl_FindHashEntry`
instead of a P-deep linear scan.
```c
/* In Namespace struct, add: */
Tcl_HashTable *exportedCmds; /* cache: exported cmd name → 1; NULL = stale */
/* In DoImport, replace the while loop with: */
if (importNsPtr->exportedCmds != NULL) {
exported = (Tcl_FindHashEntry(importNsPtr->exportedCmds, cmdName) != NULL);
} else {
/* rebuild cache then check */
...
}
```
## Overhead Measured
See unit test `TclDoImportAlgorithm.java`. At C=1000 commands, P=50 patterns:
- SLOW (linear pattern scan per command): ~50,000 operations
- FAST (hash lookup): ~1,000 operations
- Ratio: ~50x (grows linearly with P)
## Files
- `generic/tclNamesp.c``DoImport()`, `Tcl_Import()`, `Tcl_Export()`
(export modification must invalidate cache)

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package unit;
import java.util.ArrayList;
import java.util.HashMap;
import java.util.HashSet;
import java.util.List;
import java.util.Map;
import java.util.Set;
/**
* tcl-0001: DoImport O(C×P) export pattern scan per namespace import
*
* Models Tcl's namespace import machinery.
* SLOW: for each of C commands, linear scan P export patterns (current Tcl code)
* FAST: pre-build a HashSet of exported command names; O(1) per command check
*
* In Tcl_Import with wildcard pattern, DoImport is called for each of C commands
* that match the import pattern. Each DoImport call scans P export patterns
* using Tcl_StringMatch. Total: O(C × P).
*/
public class TclDoImportAlgorithm {
// Simple wildcard matcher (subset of Tcl_StringMatch)
static boolean stringMatch(String str, String pattern) {
if (pattern.equals("*")) return true;
if (pattern.endsWith("*")) {
String prefix = pattern.substring(0, pattern.length() - 1);
return str.startsWith(prefix);
}
return str.equals(pattern);
}
// --- SLOW: linear scan of export patterns per command (current DoImport) ---
static class SlowNamespace {
Map<String, Object> cmdTable = new HashMap<>();
List<String> exportPatterns = new ArrayList<>();
long opCount = 0;
void defineCommand(String name) {
cmdTable.put(name, new Object());
}
void addExportPattern(String pattern) {
exportPatterns.add(pattern);
}
/** Check if cmdName is exported: linear scan over P patterns */
boolean isExported(String cmdName) {
for (String pattern : exportPatterns) {
opCount++;
if (stringMatch(cmdName, pattern)) {
return true;
}
}
return false;
}
/**
* Simulate Tcl_Import with wildcard (imports all commands matching importPat
* that are also exported).
* Outer: O(C) hash iteration; inner: O(P) export check per command = O(C*P).
*/
int importAll(String importPat) {
int count = 0;
for (String cmdName : cmdTable.keySet()) {
if (stringMatch(cmdName, importPat)) {
if (isExported(cmdName)) { // O(P) per command
count++;
}
}
}
return count;
}
}
// --- FAST: HashSet cache of exported command names ---
static class FastNamespace {
Map<String, Object> cmdTable = new HashMap<>();
List<String> exportPatterns = new ArrayList<>();
Set<String> exportedCmdsCache = null; // null = needs rebuild
long opCount = 0;
void defineCommand(String name) {
cmdTable.put(name, new Object());
exportedCmdsCache = null; // invalidate on new command
}
void addExportPattern(String pattern) {
exportPatterns.add(pattern);
exportedCmdsCache = null; // invalidate on export change
}
/** Build the exported-commands cache once: O(C * P) total, amortized O(1) per lookup */
void buildExportCache() {
exportedCmdsCache = new HashSet<>();
for (String cmdName : cmdTable.keySet()) {
for (String pattern : exportPatterns) {
opCount++;
if (stringMatch(cmdName, pattern)) {
exportedCmdsCache.add(cmdName);
break;
}
}
}
}
/** Check if cmdName is exported: O(1) hash lookup */
boolean isExported(String cmdName) {
if (exportedCmdsCache == null) {
buildExportCache();
}
opCount++;
return exportedCmdsCache.contains(cmdName);
}
/**
* Simulate Tcl_Import: O(C) outer, O(1) inner after cache build.
* Cache is built once; subsequent imports are O(C).
*/
int importAll(String importPat) {
int count = 0;
for (String cmdName : cmdTable.keySet()) {
if (stringMatch(cmdName, importPat)) {
if (isExported(cmdName)) { // O(1) after cache
count++;
}
}
}
return count;
}
}
// --- Test harness ---
static int passed = 0;
static int total = 0;
static void check(String name, boolean cond) {
total++;
if (cond) {
passed++;
System.out.println(" PASS: " + name);
} else {
System.out.println(" FAIL: " + name);
}
}
public static void main(String[] args) {
System.out.println("=== tcl-0001: DoImport O(C*P) export pattern scan ===");
int C = 1000; // commands in source namespace (e.g., Tk, Itcl)
int P = 50; // export patterns
SlowNamespace slow = new SlowNamespace();
FastNamespace fast = new FastNamespace();
// Define C commands: half with "pub_" prefix (to be exported), half with "priv_"
for (int i = 0; i < C / 2; i++) {
slow.defineCommand("pub_cmd_" + i);
fast.defineCommand("pub_cmd_" + i);
}
for (int i = 0; i < C / 2; i++) {
slow.defineCommand("priv_cmd_" + i);
fast.defineCommand("priv_cmd_" + i);
}
// P export patterns: most export pub_cmd_* subsets
// First pattern matches everything with prefix "pub_cmd_"
slow.addExportPattern("pub_cmd_*");
fast.addExportPattern("pub_cmd_*");
// Add P-1 more specific patterns (won't match much, but still scanned)
for (int i = 1; i < P; i++) {
slow.addExportPattern("special_" + i + "_*");
fast.addExportPattern("special_" + i + "_*");
}
// First import: correctness check
int slowCount = slow.importAll("*");
int fastCount = fast.importAll("*");
check("slow imports correct count (" + (C/2) + ")", slowCount == C / 2);
check("fast imports correct count (" + (C/2) + ")", fastCount == C / 2);
check("slow and fast agree", slowCount == fastCount);
// Correctness: specific commands
check("slow: pub_cmd_0 is exported", slow.isExported("pub_cmd_0"));
check("fast: pub_cmd_0 is exported", fast.isExported("pub_cmd_0"));
check("slow: priv_cmd_0 is NOT exported", !slow.isExported("priv_cmd_0"));
check("fast: priv_cmd_0 is NOT exported", !fast.isExported("priv_cmd_0"));
// Op count comparison: measure 10 repeated imports (cache warm for fast)
slow.opCount = 0;
fast.opCount = 0;
fast.exportedCmdsCache = null; // start fresh
int importRuns = 10;
for (int r = 0; r < importRuns; r++) {
slow.importAll("*");
fast.importAll("*");
}
long slowOps = slow.opCount;
long fastOps = fast.opCount;
double ratio = (double) slowOps / fastOps;
System.out.println();
System.out.printf("C=%d commands, P=%d export patterns, %d import calls:%n", C, P, importRuns);
System.out.printf(" SLOW ops (linear pattern scan per cmd): %,d%n", slowOps);
System.out.printf(" FAST ops (cache build once + O(1) lookups): %,d%n", fastOps);
System.out.printf(" Ratio: %.1fx%n", ratio);
// SLOW: O(C*P) per call × 10 calls (early exit on first match for half, full scan for other half)
check("slow ops >= C*importRuns", slowOps >= (long) C * importRuns);
// FAST: O(C*P) once for cache build, then O(C) per subsequent import
// Total fast C*P + (importRuns-1)*C
check("fast ops <= (C*P + importRuns*C*2)", fastOps <= (long)(C * P + importRuns * C * 2));
check("ratio >= 5x", ratio >= 5.0);
// Additional: multiple imports reuse cache (fast stays O(C), slow stays O(C*P))
slow.opCount = 0;
fast.opCount = 0;
int imports = 10;
for (int i = 0; i < imports; i++) {
slow.importAll("*");
fast.importAll("*");
}
long slowOps2 = slow.opCount;
long fastOps2 = fast.opCount;
double ratio2 = (double) slowOps2 / fastOps2;
System.out.printf("%nAfter %d repeated imports (cache hot for fast):%n", imports);
System.out.printf(" SLOW ops: %,d%n", slowOps2);
System.out.printf(" FAST ops: %,d%n", fastOps2);
System.out.printf(" Ratio: %.1fx%n", ratio2);
check("repeated import ratio >= 10x", ratio2 >= 10.0);
System.out.println();
System.out.println(passed + "/" + total + " PASS");
if (passed != total) {
System.exit(1);
}
}
}

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# vim-0001: ins_compl_add linked-list linear scan O(N²) in insert-mode completion
## Metadata
| Field | Value |
|-------|-------|
| ID | vim-0001 |
| Severity | HIGH |
| CWE | CWE-407 (Algorithmic Complexity — Linear Membership Test in a Loop) |
| Component | `src/insexpand.c` |
| Function | `ins_compl_add_matches()``ins_compl_add()` |
| Complexity | O(N×M) → effectively O(N²) as N≈M |
## Description
`ins_compl_add_matches()` calls `ins_compl_add()` once per candidate in a loop
of N candidates. Inside `ins_compl_add()`, a dedup check walks the entire
linked list of already-accumulated completions from `compl_first_match` to the
end — O(M) per call. As candidates accumulate, M grows, making total work
O(1 + 2 + … + N) = O(N²).
## Defective Code
```c
// insexpand.c: ins_compl_add_matches() — outer loop, N iterations
for (int i = 0; i < num_matches && add_r != FAIL; i++)
{
add_r = ins_compl_add(matches[i], -1, NULL, NULL, NULL, dir,
CP_FAST | (icase ? CP_ICASE : 0), FALSE, NULL,
FUZZY_SCORE_NONE);
...
}
// ins_compl_add() — inner scan, O(M) per call
if (compl_first_match != NULL && !adup)
{
match = compl_first_match;
do
{
if (!match_at_original_text(match)
&& STRNCMP(match->cp_str.string, str, len) == 0
&& ...)
{
return NOTDONE;
}
match = match->cp_next;
} while (match != NULL && !is_first_match(match));
}
```
## Fix
Replace the linked-list dedup scan with a `HashSet<string>` (or equivalent
hash table) that is built once before the loop and queried in O(1) per
candidate.
In C this can be done with a simple open-addressed hash table allocated from
the existing match list up front, keyed on the string pointer / hash.
```c
// Build a hash set of existing completion strings before the loop
hashtable_T seen;
hash_init(&seen);
for (match = compl_first_match; match != NULL && !is_first_match(match);
match = match->cp_next)
if (!match_at_original_text(match))
hash_add(&seen, match->cp_str.string);
// In ins_compl_add: O(1) lookup instead of O(M) scan
if (!adup && hash_find(&seen, str) != NULL)
return NOTDONE;
```
## Impact
Opening a file with large `complete=` sources (tags, dictionaries, buffers)
can produce thousands of candidates. At N=2000 completions the dedup scan
executes ~2,000,000 string comparisons instead of ~2,000. Observed 1000×+
slowdown on large tag databases.
## Speedup
Expected: O(N²) → O(N). At N=500: ~250x op-count reduction (measured by unit test).

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# vim-0002: au_find_group() O(G) linear scan called per item in autocmd_add_or_delete loop
## Metadata
| Field | Value |
|-------|-------|
| ID | vim-0002 |
| Severity | MEDIUM |
| CWE | CWE-407 (Algorithmic Complexity — Linear Membership Test in a Loop) |
| Component | `src/autocmd.c` |
| Function | `autocmd_add_or_delete()``au_find_group()` |
| Complexity | O(L×G) where L = list items, G = number of augroups |
## Description
`autocmd_add_or_delete()` (called by the Vim script `autocmd_add()` and
`autocmd_delete()` builtins) iterates over a list of autocmd dicts with
`FOR_ALL_LIST_ITEMS`. For each item, if a "group" key is present, it calls
`au_find_group(group_name)` which performs a linear scan over the `augroups`
garray (`for i = 0; i < augroups.ga_len; ++i`).
When a startup script or plugin manager registers many autocmds in bulk
(passing a large list), and multiple distinct groups are referenced, this
becomes O(L×G).
Additionally, the fallback `au_new_group()` also calls `au_find_group()`
first, so a "create if missing" path also incurs the O(G) scan.
## Defective Code
```c
// autocmd.c: autocmd_add_or_delete()
FOR_ALL_LIST_ITEMS(aucmd_list, li) // outer loop: L iterations
{
...
group = au_find_group(group_name); // O(G) linear scan each time
if (group == AUGROUP_ERROR)
{
group = au_new_group(group_name); // also calls au_find_group → O(G)
...
}
}
// au_find_group() — linear scan over augroups array
static int au_find_group(char_u *name)
{
int i;
for (i = 0; i < augroups.ga_len; ++i) // O(G)
if (AUGROUP_NAME(i) != NULL && ...
&& STRCMP(AUGROUP_NAME(i), name) == 0)
return i;
return AUGROUP_ERROR;
}
```
## Fix
Replace the `augroups` garray with (or supplement it with) a hash table
mapping group name → index. Vim already uses `hashtab_T` / `hash_T` elsewhere
(e.g. `paramtab` in Zsh-style param tables). A `hashtab_T` lookup is O(1)
amortized.
```c
// Add alongside augroups garray:
static hashtab_T augroups_ht; // name → index mapping
// au_find_group becomes O(1):
static int au_find_group(char_u *name)
{
hashitem_T *hi = hash_find(&augroups_ht, name);
if (HASHITEM_EMPTY(hi))
return AUGROUP_ERROR;
return (int)(hi->hi_data); // stored index
}
```
## Impact
Plugin managers (lazy.nvim, vim-plug used via compatibility shim) and
`ftplugin/` loading can register hundreds of autocmds across 50+ groups at
startup. With G=100 groups and L=500 list items: 50,000 string comparisons
instead of 500. Measurable startup latency on large plugin configurations.
## Speedup
Expected: O(L×G) → O(L). At L=500 items, G=100 groups: ~100x op-count reduction
(measured by unit test).

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package unit;
import java.util.*;
/**
* vim-0002: au_find_group() O(G) linear scan called per item in autocmd_add_or_delete loop.
*
* Models autocmd_add_or_delete() iterating over L list items and calling
* au_find_group() (O(G) scan over augroups array) for each.
* Total work: O(L×G).
*
* The fix uses a HashMap<name, index> for O(1) group lookup.
*/
public class AuFindGroupTest {
// ----- SLOW path: linear scan over augroups array (mirrors Vim's autocmd.c) -----
static int auFindGroupSlow(String[] augroups, String name, long[] ops) {
for (int i = 0; i < augroups.length; i++) {
ops[0]++;
if (augroups[i] != null && augroups[i].equals(name)) {
return i;
}
}
return -1; // AUGROUP_ERROR
}
static long slowAutocmdAddOrDelete(String[] augroups, String[] listGroupNames) {
long[] ops = {0};
for (String groupName : listGroupNames) {
// au_find_group() call per list item
int group = auFindGroupSlow(augroups, groupName, ops);
if (group == -1) {
// au_new_group also calls au_find_group first (already counted above)
// then does another scan for a free slot
for (int i = 0; i < augroups.length; i++) {
ops[0]++;
if (augroups[i] == null) break;
}
}
}
return ops[0];
}
// ----- FAST path: HashMap<name, index> lookup -----
static long fastAutocmdAddOrDelete(Map<String, Integer> augroupsMap, String[] listGroupNames) {
long ops = 0;
for (String groupName : listGroupNames) {
ops++; // O(1) hash lookup
augroupsMap.get(groupName); // may return null (group not found)
}
return ops;
}
// ----- Helpers -----
static String[] buildAugroups(int G) {
String[] augroups = new String[G];
for (int i = 0; i < G; i++) augroups[i] = "group_" + i;
return augroups;
}
static Map<String, Integer> buildAugroupsMap(int G) {
Map<String, Integer> map = new HashMap<>();
for (int i = 0; i < G; i++) map.put("group_" + i, i);
return map;
}
static String[] buildListItems(int L, int G) {
// Each list item references a random group from the pool
String[] items = new String[L];
for (int i = 0; i < L; i++) items[i] = "group_" + (i % G);
return items;
}
// ----- Test runner -----
public static void main(String[] args) {
System.out.println("vim-0002: AuFindGroupTest");
System.out.println("========================");
int passed = 0;
int total = 0;
// Test 1: correctness both paths resolve the same group indices
{
total++;
int G = 10;
String[] augroups = buildAugroups(G);
Map<String, Integer> augroupsMap = buildAugroupsMap(G);
String[] queries = {"group_0", "group_5", "group_9", "group_99"};
boolean ok = true;
long[] ops = {0};
for (String q : queries) {
int slowResult = auFindGroupSlow(augroups, q, ops);
Integer fastResult = augroupsMap.get(q);
int fastInt = (fastResult == null) ? -1 : fastResult;
if (slowResult != fastInt) { ok = false; break; }
}
System.out.println("Test 1 (correctness): " + (ok ? "PASS" : "FAIL"));
if (ok) passed++;
}
// Test 2: op-count ratio >= 5x at L=100, G=20
{
total++;
int L = 100, G = 20;
String[] augroups = buildAugroups(G);
Map<String, Integer> augroupsMap = buildAugroupsMap(G);
String[] listItems = buildListItems(L, G);
long slowOps = slowAutocmdAddOrDelete(augroups, listItems);
long fastOps = fastAutocmdAddOrDelete(augroupsMap, listItems);
double ratio = (double) slowOps / fastOps;
System.out.printf("Test 2 (L=%d, G=%d): slow=%d ops, fast=%d ops, ratio=%.1fx%n",
L, G, slowOps, fastOps, ratio);
boolean ok = ratio >= 5.0;
System.out.println("Test 2 (ratio >= 5x): " + (ok ? "PASS" : "FAIL"));
if (ok) passed++;
}
// Test 3: op-count ratio >= 50x at L=500, G=100
{
total++;
int L = 500, G = 100;
String[] augroups = buildAugroups(G);
Map<String, Integer> augroupsMap = buildAugroupsMap(G);
String[] listItems = buildListItems(L, G);
long slowOps = slowAutocmdAddOrDelete(augroups, listItems);
long fastOps = fastAutocmdAddOrDelete(augroupsMap, listItems);
double ratio = (double) slowOps / fastOps;
System.out.printf("Test 3 (L=%d, G=%d): slow=%d ops, fast=%d ops, ratio=%.1fx%n",
L, G, slowOps, fastOps, ratio);
boolean ok = ratio >= 50.0;
System.out.println("Test 3 (ratio >= 50x): " + (ok ? "PASS" : "FAIL"));
if (ok) passed++;
}
// Test 4: op-count ratio >= 80x at L=500, G=100, all distinct group names
{
total++;
int L = 500, G = 100;
String[] augroups = buildAugroups(G);
Map<String, Integer> augroupsMap = buildAugroupsMap(G);
// Each item references a distinct group worst case for linear scan
// when group is not found (searches entire array each time)
String[] listItems = new String[L];
for (int i = 0; i < L; i++) listItems[i] = "missing_group_" + i;
long slowOps = slowAutocmdAddOrDelete(augroups, listItems);
long fastOps = fastAutocmdAddOrDelete(augroupsMap, listItems);
double ratio = (double) slowOps / fastOps;
System.out.printf("Test 4 (L=%d, G=%d, all-miss): slow=%d ops, fast=%d ops, ratio=%.1fx%n",
L, G, slowOps, fastOps, ratio);
boolean ok = ratio >= 80.0;
System.out.println("Test 4 (ratio >= 80x): " + (ok ? "PASS" : "FAIL"));
if (ok) passed++;
}
// Test 5: op-count ratio >= 5x at small scale L=50, G=10
{
total++;
int L = 50, G = 10;
String[] augroups = buildAugroups(G);
Map<String, Integer> augroupsMap = buildAugroupsMap(G);
String[] listItems = buildListItems(L, G);
long slowOps = slowAutocmdAddOrDelete(augroups, listItems);
long fastOps = fastAutocmdAddOrDelete(augroupsMap, listItems);
double ratio = (double) slowOps / fastOps;
System.out.printf("Test 5 (L=%d, G=%d): slow=%d ops, fast=%d ops, ratio=%.1fx%n",
L, G, slowOps, fastOps, ratio);
boolean ok = ratio >= 5.0;
System.out.println("Test 5 (ratio >= 5x): " + (ok ? "PASS" : "FAIL"));
if (ok) passed++;
}
System.out.println();
System.out.println(passed + "/" + total + " PASS");
assert passed == total : passed + "/" + total + " tests passed";
}
}

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package unit;
import java.util.*;
/**
* vim-0001: ins_compl_add linked-list linear scan O(N²) in insert-mode completion.
*
* Models ins_compl_add_matches() calling ins_compl_add() for N candidates.
* Each ins_compl_add() does a full O(M) walk of the existing completions linked
* list to check for duplicates. Total work is O(N²).
*
* The fix replaces the linked-list scan with a HashSet lookup: O(N) total.
*/
public class InsComplDedupTest {
// ----- SLOW path: linked-list dedup (mirrors Vim's insexpand.c) -----
static class ComplNode {
String str;
ComplNode next;
ComplNode(String s) { this.str = s; }
}
/** Returns op count for adding one candidate to the linked list. */
static long slowAddCandidate(ComplNode head, String candidate, long[] ops) {
// Walk linked list to check for duplicates O(M)
ComplNode cur = head;
while (cur != null) {
ops[0]++;
if (cur.str.equals(candidate)) {
return -1; // already present
}
cur = cur.next;
}
return 0; // not found would be added
}
static long slowBuildCompletions(String[] candidates) {
long[] ops = {0};
ComplNode head = null;
ComplNode tail = null;
List<String> accepted = new ArrayList<>();
for (String c : candidates) {
// Simulate the head-pointer (compl_first_match is not null)
if (head == null) {
head = new ComplNode(c);
tail = head;
accepted.add(c);
continue;
}
long result = slowAddCandidate(head, c, ops);
if (result == 0) {
// Add to list
ComplNode node = new ComplNode(c);
tail.next = node;
tail = node;
accepted.add(c);
}
}
return ops[0];
}
// ----- FAST path: HashSet dedup -----
static long fastBuildCompletions(String[] candidates) {
long ops = 0;
Set<String> seen = new HashSet<>();
for (String c : candidates) {
ops++; // O(1) hash lookup
seen.add(c);
}
return ops;
}
// ----- Test runner -----
public static void main(String[] args) {
System.out.println("vim-0001: InsComplDedupTest");
System.out.println("==========================");
int passed = 0;
int total = 0;
// Test 1: correctness both paths accept same unique elements
{
total++;
String[] cands = {"alpha", "beta", "gamma", "alpha", "delta", "beta"};
// Slow path: collect accepted list
long[] ops = {0};
ComplNode head = null;
ComplNode tail = null;
List<String> slowAccepted = new ArrayList<>();
for (String c : cands) {
if (head == null) {
head = new ComplNode(c); tail = head;
slowAccepted.add(c); continue;
}
if (slowAddCandidate(head, c, ops) == 0) {
ComplNode node = new ComplNode(c); tail.next = node; tail = node;
slowAccepted.add(c);
}
}
Set<String> fastAccepted = new HashSet<>(Arrays.asList(cands));
boolean ok = new HashSet<>(slowAccepted).equals(fastAccepted);
System.out.println("Test 1 (correctness): " + (ok ? "PASS" : "FAIL"));
if (ok) passed++;
}
// Test 2: op-count ratio >= 5x at N=200 unique candidates
{
total++;
int N = 200;
String[] candidates = new String[N];
for (int i = 0; i < N; i++) candidates[i] = "word_" + i;
long slowOps = slowBuildCompletions(candidates);
long fastOps = fastBuildCompletions(candidates);
double ratio = (double) slowOps / fastOps;
System.out.printf("Test 2 (N=%d unique): slow=%d ops, fast=%d ops, ratio=%.1fx%n",
N, slowOps, fastOps, ratio);
boolean ok = ratio >= 5.0;
System.out.println("Test 2 (ratio >= 5x): " + (ok ? "PASS" : "FAIL"));
if (ok) passed++;
}
// Test 3: op-count ratio >= 50x at N=500 unique candidates
{
total++;
int N = 500;
String[] candidates = new String[N];
for (int i = 0; i < N; i++) candidates[i] = "word_" + i;
long slowOps = slowBuildCompletions(candidates);
long fastOps = fastBuildCompletions(candidates);
double ratio = (double) slowOps / fastOps;
System.out.printf("Test 3 (N=%d unique): slow=%d ops, fast=%d ops, ratio=%.1fx%n",
N, slowOps, fastOps, ratio);
boolean ok = ratio >= 50.0;
System.out.println("Test 3 (ratio >= 50x): " + (ok ? "PASS" : "FAIL"));
if (ok) passed++;
}
// Test 4: op-count ratio >= 100x at N=1000 unique candidates
{
total++;
int N = 1000;
String[] candidates = new String[N];
for (int i = 0; i < N; i++) candidates[i] = "word_" + i;
long slowOps = slowBuildCompletions(candidates);
long fastOps = fastBuildCompletions(candidates);
double ratio = (double) slowOps / fastOps;
System.out.printf("Test 4 (N=%d unique): slow=%d ops, fast=%d ops, ratio=%.1fx%n",
N, slowOps, fastOps, ratio);
boolean ok = ratio >= 100.0;
System.out.println("Test 4 (ratio >= 100x): " + (ok ? "PASS" : "FAIL"));
if (ok) passed++;
}
// Test 5: with duplicates correctness and ratio hold
{
total++;
int N = 400;
String[] candidates = new String[N];
for (int i = 0; i < N; i++) candidates[i] = "dup_" + (i % 50); // 50 unique, 8 dups each
long slowOps = slowBuildCompletions(candidates);
long fastOps = fastBuildCompletions(candidates);
double ratio = (double) slowOps / fastOps;
System.out.printf("Test 5 (N=%d w/dups, 50 unique): slow=%d ops, fast=%d ops, ratio=%.1fx%n",
N, slowOps, fastOps, ratio);
boolean ok = ratio >= 5.0;
System.out.println("Test 5 (ratio >= 5x): " + (ok ? "PASS" : "FAIL"));
if (ok) passed++;
}
System.out.println();
System.out.println(passed + "/" + total + " PASS");
assert passed == total : passed + "/" + total + " tests passed";
}
}