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>

lib/calc/timing.ts

@@ -0,0 +1,98 @@
+import { Solar } from "lunar-javascript";
+import {
+  adjustToTrueSolarTime,
+  formatDateTime,
+  parseDateTime,
+} from "@/lib/calc/time";
+
+export interface TimingInfo {
+  solarTime: string;
+  lunarDate: string;
+  yearGanZhi: string;
+  monthGanZhi: string;
+  dayGanZhi: string;
+  timeGanZhi: string;
+  prevJieQi: string;
+  nextJieQi: string;
+}
+
+export function getTimingInfo(dateTime: Date): TimingInfo {
+  const solar = Solar.fromYmdHms(
+    dateTime.getFullYear(),
+    dateTime.getMonth() + 1,
+    dateTime.getDate(),
+    dateTime.getHours(),
+    dateTime.getMinutes(),
+    0,
+  );
+  const lunar = solar.getLunar();
+
+  return {
+    solarTime: formatDateTime(dateTime),
+    lunarDate: lunar.toString(),
+    yearGanZhi: lunar.getYearInGanZhi(),
+    monthGanZhi: lunar.getMonthInGanZhi(),
+    dayGanZhi: lunar.getDayInGanZhi(),
+    timeGanZhi: lunar.getTimeInGanZhi(),
+    prevJieQi: lunar.getPrevJieQi()?.getName() ?? "—",
+    nextJieQi: lunar.getNextJieQi()?.getName() ?? "—",
+  };
+}
+
+export function getTimingInfoFromStrings(
+  date: string,
+  time: string,
+): TimingInfo {
+  return getTimingInfo(parseDateTime(date, time));
+}
+
+export function getTimingInfoWithLongitude(
+  date: string,
+  time: string,
+  longitude: number,
+): { timing: TimingInfo; trueSolarTime: string } {
+  const local = parseDateTime(date, time);
+  const trueSolar = adjustToTrueSolarTime(local, longitude);
+  return {
+    timing: getTimingInfo(trueSolar),
+    trueSolarTime: formatDateTime(trueSolar),
+  };
+}
+
+export function formatLiuyaoTimingForPrompt(
+  timing: TimingInfo,
+  trueSolarTime: string,
+  locationName: string,
+  longitude: number,
+): string {
+  return [
+    "【起卦时空 · 天时】",
+    `起卦时刻：${timing.solarTime}`,
+    `真太阳时：${trueSolarTime}`,
+    `农历：${timing.lunarDate}`,
+    `年柱：${timing.yearGanZhi}，月柱：${timing.monthGanZhi}，日柱：${timing.dayGanZhi}，时柱：${timing.timeGanZhi}`,
+    `节气：上一节气 ${timing.prevJieQi}，下一节气 ${timing.nextJieQi}`,
+    "",
+    "【起卦地域 · 地利】",
+    `位置：${locationName}`,
+    `经度：${longitude}°`,
+  ].join("\n");
+}
+
+export function formatTimingForPrompt(
+  timing: TimingInfo,
+  locationName: string,
+  longitude: number,
+): string {
+  return [
+    "【天时】",
+    `测算时刻：${timing.solarTime}`,
+    `农历：${timing.lunarDate}`,
+    `年柱：${timing.yearGanZhi}，月柱：${timing.monthGanZhi}，日柱：${timing.dayGanZhi}，时柱：${timing.timeGanZhi}`,
+    `节气：上一节气 ${timing.prevJieQi}，下一节气 ${timing.nextJieQi}`,
+    "",
+    "【地利】",
+    `当前位置：${locationName}`,
+    `经度：${longitude}°`,
+  ].join("\n");
+}