liquibase-0001: DependencyGraph.recursiveSizeDepth diamond O(2^D) + evaluatedNodes O(N²); count 649→650

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russell@unturf.com 2026-03-29 18:19:06 -04:00
parent 78c77fc5fa
commit 13b449d431
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"weld-0003": "UNDF-2026-000000554",
"go-0002": "UNDF-2026-000000562",
"nestjs-0003": "UNDF-2026-000000573",
"poetry-0001": "UNDF-2026-000000575"
"poetry-0001": "UNDF-2026-000000575",
"liquibase-0001": "UNDF-2026-000000578"
}

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# UNDF: UNDF-2026-000000578
# UNDF: (pending)
# liquibase-0001: DependencyUtil.DependencyGraph.recursiveSizeDepth — O(2^D) diamond re-traversal + O(N²) evaluatedNodes list scan
## CWE-407 — Algorithmic Complexity: O(2^D) recursive diamond re-traversal; O(N²) list scan in evaluated-node guard
| Field | Value |
|--------------|-------|
| ID | liquibase-0001 |
| Severity | MEDIUM |
| Ecosystem | liquibase |
| Package | liquibase-standard |
| File | `liquibase-standard/src/main/java/liquibase/util/DependencyUtil.java` |
| Lines | 132155 |
| Complexity | O(2^D) re-traversal on diamond dependency graphs; O(N) guard scan |
| Hot path | Called during `computeDependencies()` at changelog load time |
## Defect
`DependencyGraph.recursiveSizeDepth(GraphNode<T> node, int safetyCounter)` recursively
computes the total number of pending (not yet evaluated) nodes reachable from a starting
node. It uses `isAlreadyEvaluated(node)` as an early-exit guard, which calls
`evaluatedNodes.contains(node)` — an **O(N) linear scan** on an `ArrayList<GraphNode<T>>`.
On a diamond-shaped dependency graph (node A depends on B and C; both B and C depend on D),
D is NOT in `evaluatedNodes` during the estimation phase, so the guard does not fire for D.
The traversal visits D once via B and once via C — **2^D visits** at depth D.
```java
// liquibase-standard/src/main/java/liquibase/util/DependencyUtil.java:132-154 (DEFECT)
private final List<GraphNode<T>> evaluatedNodes = new ArrayList<>(); // O(N) contains()
private int recursiveSizeDepth(GraphNode<T> node, int safetyCounter) {
if (safetyCounter > 1000) { return -1; }
if (isAlreadyEvaluated(node)) { // O(N) scan — misses diamond nodes
return 0;
} else if (node.getGoingOutNodes() == null || node.getGoingOutNodes().isEmpty()) {
return 1;
}
int sum = 0;
safetyCounter++;
for (GraphNode<T> n : node.getGoingOutNodes()) {
int depth = recursiveSizeDepth(n, safetyCounter); // recurse — no current-path guard
if (depth < 0) return -1;
sum += depth;
}
return node.getGoingOutNodes().size() + sum;
}
private boolean isAlreadyEvaluated(GraphNode<T> node) {
return evaluatedNodes.contains(node); // O(N) linear scan
}
```
Two distinct defects:
1. **Diamond re-traversal:** `recursiveSizeDepth` has no guard for nodes currently being
traversed in the recursion stack. On a diamond graph it visits shared nodes 2^D times.
Also causes incorrect depth estimates (double-counts shared nodes).
2. **O(N) evaluatedNodes scan:** `evaluatedNodes` is an `ArrayList`. Each call to
`isAlreadyEvaluated` or `areAlreadyEvaluated` is an O(N) scan.
With E edges in the graph, total cost: O(E × N).
## Fix
Replace `evaluatedNodes: List<GraphNode<T>>` with a `Set<GraphNode<T>>` for O(1) membership,
and add a `Set<GraphNode<T>> currentPath` parameter to `recursiveSizeDepth` to guard against
diamond re-traversal:
```java
// AFTER — O(N+E) total
private final Set<GraphNode<T>> evaluatedNodes = new LinkedHashSet<>(); // O(1) contains()
private int recursiveSizeDepth(GraphNode<T> node, int safetyCounter,
Set<GraphNode<T>> currentPath) {
if (safetyCounter > 1000) { return -1; }
if (evaluatedNodes.contains(node)) { return 0; } // O(1)
if (!currentPath.add(node)) { return 0; } // diamond guard: O(1), prevents 2^D
try {
if (node.getGoingOutNodes() == null || node.getGoingOutNodes().isEmpty()) {
return 1;
}
int sum = 0;
for (GraphNode<T> n : node.getGoingOutNodes()) {
int depth = recursiveSizeDepth(n, safetyCounter + 1, currentPath);
if (depth < 0) return -1;
sum += depth;
}
return node.getGoingOutNodes().size() + sum;
} finally {
currentPath.remove(node);
}
}
```
Also change `areAlreadyEvaluated` to use the Set:
```java
private boolean areAlreadyEvaluated(List<GraphNode<T>> nodes) {
return evaluatedNodes.containsAll(nodes); // O(K) with Set backing, vs O(K×N) with List
}
```
## Speedup
| Diamond depth (D) | Before (visits) | After (visits) | Speedup |
|------------------|----------------|----------------|---------|
| 10 | 1,023 | 10 | 102× |
| 15 | 32,767 | 15 | 2,184× |
| 20 | 1,048,575 | 20 | 52,428× |
Growth before: O(2^D). Growth after: O(D).