perf: 1200장수 용량 fixture와 E1 profile을 추가

900 NPC와 300 synthetic 사용자를 5분 턴으로 처리하는 결정론적 engine profile을 추가하고, 전용 PostgreSQL schema와 Redis DB에 300개 인증 session을 준비하는 격리 load fixture를 제공한다.

app/game-engine/test/helpers/npcUnificationTimingProfiler.ts

@@ -54,6 +54,7 @@ const summarizeSeries = (series: DurationSeries) => ({
 const monthKey = (year: number, month: number): string => `${year}-${String(month).padStart(2, '0')}`;
 
 export class NpcUnificationTimingProfiler {
+    private readonly allTurnSeries = createSeries();
     private readonly commandSeries = new Map<string, DurationSeries>();
     private readonly commandAiSeries = new Map<string, DurationSeries>();
     private readonly decisionSeries = new Map<'chief' | 'ordinary', DurationSeries>([
@@ -120,6 +121,8 @@ export class NpcUnificationTimingProfiler {
 
     observeGeneralTurn(input: { year: number; month: number; officerLevel: number; durationNs: bigint }): void {
         const durationNs = Number(input.durationNs);
+        this.allTurnSeries.durationsNs.push(durationNs);
+        this.allTurnSeries.totalNs += durationNs;
         const officerGroup = input.officerLevel >= 5 ? 'chief' : 'ordinary';
         const series = this.turnSeries.get(officerGroup)!;
         series.durationsNs.push(durationNs);
@@ -165,6 +168,14 @@ export class NpcUnificationTimingProfiler {
         unificationReached: boolean;
         convergenceAssist: string;
         discardedDrafts: { logs: number; messages: number; neutralAuctions: number };
+        capacity?: {
+            profile: string;
+            expectedNpcGenerals: number;
+            expectedHumanGenerals: number;
+            turnMinutes: number;
+            fixedMonths: number;
+            finalStateSha256: string;
+        };
     }) {
         const commandKeys = Array.from(this.commandSeries.keys()).sort();
         const commands = commandKeys.map((key) => ({
@@ -199,6 +210,12 @@ export class NpcUnificationTimingProfiler {
         const startIndex = input.startYear * 12 + input.startMonth - 1;
         const finalIndex = input.finalYear * 12 + input.finalMonth - 1;
 
+        const wallDurationMs = Number(process.hrtime.bigint() - input.startedAtNs) / 1_000_000;
+        const monthWallSeries = {
+            durationsNs: Array.from(this.monthWallMs.values(), (value) => value * 1_000_000),
+            totalNs: Array.from(this.monthWallMs.values()).reduce((total, value) => total + value * 1_000_000, 0),
+        };
+        const capacityWindowMs = monthWallSeries.totalNs / 1_000_000;
         return {
             schemaVersion: 1,
             runtime: {
@@ -227,7 +244,7 @@ export class NpcUnificationTimingProfiler {
                 finalGeneralCount: input.finalGeneralCount,
                 foundedNationCount: input.foundedNationCount,
                 finalNationCount: input.finalNationCount,
-                wallDurationMs: Number(process.hrtime.bigint() - input.startedAtNs) / 1_000_000,
+                wallDurationMs,
                 discardedDrafts: input.discardedDrafts,
             },
             npcDecisionByOfficerGroup: {
@@ -238,6 +255,19 @@ export class NpcUnificationTimingProfiler {
                 chief: summarizeSeries(this.turnSeries.get('chief')!),
                 ordinary: summarizeSeries(this.turnSeries.get('ordinary')!),
             },
+            ...(input.capacity
+                ? {
+                      capacity: {
+                          ...input.capacity,
+                          generalTurns: summarizeSeries(this.allTurnSeries),
+                          monthWall: summarizeSeries(monthWallSeries),
+                          generalTurnsPerSecond:
+                              capacityWindowMs > 0
+                                  ? this.allTurnSeries.durationsNs.length / (capacityWindowMs / 1_000)
+                                  : 0,
+                      },
+                  }
+                : {}),
             memory: {
                 maxObservedHeapUsedBytes: this.maxHeapUsedBytes,
                 maxObservedRssBytes: this.maxRssBytes,