whitepaper: 366/178 — wave5 defect tables + PDF rebuild
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68
defects/moby/patch/moby-0001-tweak-capabilities-quadratic.md
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68
defects/moby/patch/moby-0001-tweak-capabilities-quadratic.md
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# moby-0001: TweakCapabilities O(n²) — slices.Contains inside loop on every container start
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## Severity
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HIGH — called on every `docker run` / container start via `WithCapabilities` in `daemon/oci_linux.go:162`
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## File
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`daemon/pkg/oci/caps/utils.go` — `TweakCapabilities`
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## CWE
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CWE-407: Algorithmic Complexity (Inefficient Algorithmic Complexity)
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## Description
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`TweakCapabilities` iterates over `GetAllCapabilities()` (~41 caps on modern Linux) or `basics`
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(14 default caps) and calls `slices.Contains(capDrop, c)` on each iteration. `slices.Contains`
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performs a linear scan of `capDrop`, making the overall loop O(|capabilities| × |capDrop|).
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With `capAdd = ["ALL"]` (privileged-style grants): 41 × 41 = 1,681 comparisons per container start.
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With the default path: 14 × |capDrop| comparisons.
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At Docker-in-Kubernetes scale (thousands of container starts per second), this accumulates.
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## Defective code
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```go
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// daemon/pkg/oci/caps/utils.go:99-103
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case slices.Contains(capAdd, allCapabilities):
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for _, c := range GetAllCapabilities() {
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if !slices.Contains(capDrop, c) { // O(n) scan per iteration → O(n²) total
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caps = append(caps, c)
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}
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}
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// and line 109-113 (default case):
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for _, c := range basics {
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if !slices.Contains(capDrop, c) { // O(n) scan per iteration → O(n²) total
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caps = append(caps, c)
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}
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}
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```
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## Fix
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Convert `capDrop` to a `map[string]struct{}` before the loop. O(n) build, O(1) lookup.
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```go
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// Build a set from capDrop for O(1) membership test
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dropSet := make(map[string]struct{}, len(capDrop))
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for _, c := range capDrop {
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dropSet[c] = struct{}{}
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}
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case slices.Contains(capAdd, allCapabilities):
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for _, c := range GetAllCapabilities() {
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if _, dropped := dropSet[c]; !dropped {
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caps = append(caps, c)
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}
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}
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// default case:
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for _, c := range basics {
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if _, dropped := dropSet[c]; !dropped {
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caps = append(caps, c)
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}
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}
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```
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## Speedup
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N=41 (all caps): ~41× fewer comparisons in the inner membership test.
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N=14 (default): linear improvement proportional to len(capDrop).
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## Call chain
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`docker run` → `daemon/oci_linux.go:WithCapabilities` → `caps.TweakCapabilities`
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38
defects/moby/patch/moby-0001.patch
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38
defects/moby/patch/moby-0001.patch
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--- a/daemon/pkg/oci/caps/utils.go
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+++ b/daemon/pkg/oci/caps/utils.go
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@@ -93,16 +93,24 @@ func TweakCapabilities(basics, adds, drops []string, privileged bool) ([]string,
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var caps []string
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+ // Build a set from capDrop so membership tests are O(1) instead of O(n).
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+ dropSet := make(map[string]struct{}, len(capDrop))
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+ for _, c := range capDrop {
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+ dropSet[c] = struct{}{}
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+ }
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+ addSet := make(map[string]struct{}, len(capAdd))
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+ for _, c := range capAdd {
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+ addSet[c] = struct{}{}
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+ }
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+
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switch {
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- case slices.Contains(capAdd, allCapabilities):
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+ case func() bool { _, ok := addSet[allCapabilities]; return ok }():
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// Add all capabilities except ones on capDrop
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for _, c := range GetAllCapabilities() {
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- if !slices.Contains(capDrop, c) {
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+ if _, dropped := dropSet[c]; !dropped {
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caps = append(caps, c)
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}
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}
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- case slices.Contains(capDrop, allCapabilities):
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+ case func() bool { _, ok := dropSet[allCapabilities]; return ok }():
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// "Drop" all capabilities; use what's in capAdd instead
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caps = capAdd
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default:
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// First drop some capabilities
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for _, c := range basics {
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- if !slices.Contains(capDrop, c) {
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+ if _, dropped := dropSet[c]; !dropped {
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caps = append(caps, c)
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}
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}
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173
defects/moby/unit/TweakCapabilitiesAlgorithm.java
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173
defects/moby/unit/TweakCapabilitiesAlgorithm.java
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package unit;
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import java.util.*;
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/**
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* CWE-407 unit test: moby TweakCapabilities
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* File: daemon/pkg/oci/caps/utils.go — TweakCapabilities
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*
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* Slow: for each cap in allCaps, scan capDrop slice → O(n²)
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* Fast: build a HashSet from capDrop first → O(n)
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*
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* Run: javac -d . TweakCapabilitiesAlgorithm.java && java -ea unit.TweakCapabilitiesAlgorithm
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*/
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public class TweakCapabilitiesAlgorithm {
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// ── slow implementation (mirrors defective Go code) ──────────────────────
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static class SlowTweak {
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final long ops;
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final List<String> result;
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SlowTweak(List<String> allCaps, List<String> capDrop) {
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long count = 0;
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List<String> out = new ArrayList<>();
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for (String c : allCaps) {
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// slices.Contains(capDrop, c) — linear scan
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boolean found = false;
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for (String d : capDrop) {
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count++;
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if (d.equals(c)) { found = true; break; }
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}
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if (!found) out.add(c);
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}
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this.ops = count;
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this.result = out;
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}
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}
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// ── fast implementation (proposed fix) ───────────────────────────────────
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static class FastTweak {
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final long ops;
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final List<String> result;
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FastTweak(List<String> allCaps, List<String> capDrop) {
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long count = 0;
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// Build drop set — O(|capDrop|) once
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Set<String> dropSet = new HashSet<>(capDrop.size() * 2);
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for (String d : capDrop) { count++; dropSet.add(d); }
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List<String> out = new ArrayList<>();
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for (String c : allCaps) {
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count++; // O(1) map lookup
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if (!dropSet.contains(c)) out.add(c);
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}
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this.ops = count;
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this.result = out;
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}
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}
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// ── Node/Result types for test scaffolding ────────────────────────────────
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static class Node {
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final String name;
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Node(String name) { this.name = name; }
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}
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static class Result {
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final long slowOps;
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final long fastOps;
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final List<String> slowResult;
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final List<String> fastResult;
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Result(long slowOps, long fastOps, List<String> slowResult, List<String> fastResult) {
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this.slowOps = slowOps;
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this.fastOps = fastOps;
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this.slowResult = slowResult;
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this.fastResult = fastResult;
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}
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}
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// ── test helpers ──────────────────────────────────────────────────────────
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static List<String> makeCaps(int n) {
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List<String> caps = new ArrayList<>(n);
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for (int i = 0; i < n; i++) caps.add("CAP_" + i);
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return caps;
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}
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static Result run(int nAllCaps, int nDrop) {
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List<String> allCaps = makeCaps(nAllCaps);
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// Drop every other cap to maximise scan work
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List<String> capDrop = new ArrayList<>();
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for (int i = 0; i < nDrop; i++) capDrop.add("CAP_" + i);
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SlowTweak slow = new SlowTweak(allCaps, capDrop);
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FastTweak fast = new FastTweak(allCaps, capDrop);
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return new Result(slow.ops, fast.ops, slow.result, fast.result);
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}
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// ── tests ─────────────────────────────────────────────────────────────────
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static int passed = 0;
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static int total = 0;
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static void test(String name, boolean condition) {
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total++;
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if (condition) {
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passed++;
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System.out.println("PASS: " + name);
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} else {
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System.out.println("FAIL: " + name);
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}
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}
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public static void main(String[] args) {
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// T1: Realistic Linux cap count — N=41 (all caps), drop=41
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{
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Result r = run(41, 41);
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// Slow should be O(n^2): up to 41*41 = 1681 ops
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// Fast should be O(n): ~41+41 = 82 ops
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test("T1-slow-is-quadratic [N=41,drop=41]",
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r.slowOps > r.fastOps * 5); // slow must be substantially more than fast
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test("T1-fast-is-linear [N=41,drop=41]",
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r.fastOps <= 41 + 41 + 5); // build-set + lookup + small constant
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double speedup = (double) r.slowOps / r.fastOps;
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test("T1-speedup>=10x [N=41]", speedup >= 10.0);
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System.out.printf(" slow=%d ops, fast=%d ops, speedup=%.1fx%n",
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r.slowOps, r.fastOps, speedup);
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// Results must match
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List<String> ss = new ArrayList<>(r.slowResult);
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List<String> fs = new ArrayList<>(r.fastResult);
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Collections.sort(ss); Collections.sort(fs);
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test("T1-results-match", ss.equals(fs));
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}
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// T2: Expanded future capability set — N=200
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{
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Result r = run(200, 200);
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double speedup = (double) r.slowOps / r.fastOps;
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test("T2-slow-is-quadratic [N=200]",
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r.slowOps > r.fastOps * 30); // slow must be substantially worse than fast
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test("T2-fast-is-linear [N=200]",
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r.fastOps <= 200 + 200 + 5);
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test("T2-speedup>=50x [N=200]", speedup >= 50.0);
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System.out.printf(" slow=%d ops, fast=%d ops, speedup=%.1fx%n",
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r.slowOps, r.fastOps, speedup);
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List<String> ss = new ArrayList<>(r.slowResult);
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List<String> fs = new ArrayList<>(r.fastResult);
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Collections.sort(ss); Collections.sort(fs);
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test("T2-results-match", ss.equals(fs));
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}
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// T3: Default path — basics=14, drop=5 (typical docker run --cap-drop)
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{
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Result r = run(14, 5);
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test("T3-slow-ops>fast-ops [N=14,drop=5]", r.slowOps > r.fastOps);
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double speedup = (double) r.slowOps / r.fastOps;
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System.out.printf(" slow=%d ops, fast=%d ops, speedup=%.1fx%n",
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r.slowOps, r.fastOps, speedup);
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List<String> ss = new ArrayList<>(r.slowResult);
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List<String> fs = new ArrayList<>(r.fastResult);
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Collections.sort(ss); Collections.sort(fs);
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test("T3-results-match", ss.equals(fs));
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}
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// T4: Empty drop list — no caps dropped, fast still correct
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{
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Result r = run(41, 0);
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test("T4-empty-drop-result-size", r.fastResult.size() == 41);
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test("T4-empty-drop-results-match", r.slowResult.equals(r.fastResult));
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}
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System.out.println();
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System.out.printf("%d/%d PASS%n", passed, total);
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if (passed != total) System.exit(1);
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}
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}
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