Implement three divination modes, learn pages, and PM2 deploy on port 3130.

Add liuyao/bazi/combined flows with shared calc and AI infrastructure, 64-gua learn routes, and update Ubuntu PM2 deployment docs for port 3130.

Co-authored-by: Cursor <cursoragent@cursor.com>

app/actions/liuyao.ts

@@ -0,0 +1,66 @@
+"use server";
+
+import { streamAIResponse } from "@/lib/ai/stream";
+import {
+  formatLiuyaoTimingForPrompt,
+  getTimingInfoWithLongitude,
+} from "@/lib/calc/timing";
+import {
+  extractChangeDetails,
+  extractZhangMingRen,
+  readGuaMarkdown,
+} from "@/lib/content/zhouyi";
+import { LIUYAO_SYSTEM_PROMPT } from "@/lib/prompts";
+
+export interface LiuyaoInput {
+  question: string;
+  calcDate: string;
+  calcTime: string;
+  locationName: string;
+  longitude: number;
+  guaMark: string;
+  guaTitle: string;
+  guaResult: string;
+  guaChange: string;
+}
+
+export async function getLiuyaoAnswer(input: LiuyaoInput) {
+  const { timing, trueSolarTime } = getTimingInfoWithLongitude(
+    input.calcDate,
+    input.calcTime,
+    input.longitude,
+  );
+  const timingText = formatLiuyaoTimingForPrompt(
+    timing,
+    trueSolarTime,
+    input.locationName,
+    input.longitude,
+  );
+
+  let guaDetailText = "";
+  try {
+    const guaDetail = await readGuaMarkdown(input.guaMark);
+    const explain = extractZhangMingRen(guaDetail) ?? "";
+    const changeList = extractChangeDetails(
+      guaDetail,
+      input.guaChange,
+      input.guaTitle,
+    );
+    guaDetailText = [explain, changeList.join("\n")].filter(Boolean).join("\n");
+  } catch {
+    guaDetailText = "";
+  }
+
+  return streamAIResponse(
+    LIUYAO_SYSTEM_PROMPT,
+    `${timingText}
+
+【卦象】
+${input.guaTitle} ${input.guaResult} ${input.guaChange}
+
+【问事】
+${input.question}
+
+${guaDetailText}`,
+  );
+}