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/hexagram.ts

@@ -0,0 +1,77 @@
+import guaIndexData from "@/lib/data/gua-index.json";
+import guaListData from "@/lib/data/gua-list.json";
+import type { HexagramObj } from "@/components/hexagram";
+import type { ResultObj } from "@/components/result";
+
+const GUA_DICT1 = ["坤", "震", "坎", "兑", "艮", "离", "巽", "乾"];
+const GUA_DICT2 = ["地", "雷", "水", "泽", "山", "火", "风", "天"];
+const CHANGE_YANG = ["初九", "九二", "九三", "九四", "九五", "上九"];
+const CHANGE_YIN = ["初六", "六二", "六三", "六四", "六五", "上六"];
+
+/** 三钱法：正面数 0~3 → 爻象 */
+export function frontCountToLine(frontCount: number): Omit<HexagramObj, "separate"> {
+  return {
+    change: frontCount === 0 || frontCount === 3,
+    yang: frontCount >= 2,
+  };
+}
+
+export function buildHexagramList(frontCounts: number[]): HexagramObj[] {
+  return frontCounts.map((count, index) => ({
+    ...frontCountToLine(count),
+    separate: index === 3,
+  }));
+}
+
+export function computeGuaResult(list: HexagramObj[]): ResultObj | null {
+  if (list.length !== 6) {
+    return null;
+  }
+
+  const changeList: string[] = [];
+  list.forEach((value, index) => {
+    if (!value.change) {
+      return;
+    }
+    changeList.push(value.yang ? CHANGE_YANG[index] : CHANGE_YIN[index]);
+  });
+
+  const upIndex =
+    (list[5].yang ? 4 : 0) + (list[4].yang ? 2 : 0) + (list[3].yang ? 1 : 0);
+  const downIndex =
+    (list[2].yang ? 4 : 0) + (list[1].yang ? 2 : 0) + (list[0].yang ? 1 : 0);
+
+  const guaIndex = guaIndexData[upIndex][downIndex] - 1;
+  const guaName1 = guaListData[guaIndex];
+
+  let guaName2: string;
+  if (upIndex === downIndex) {
+    guaName2 = GUA_DICT1[upIndex] + "为" + GUA_DICT2[upIndex];
+  } else {
+    guaName2 = GUA_DICT2[upIndex] + GUA_DICT2[downIndex] + guaName1;
+  }
+
+  const guaDesc = GUA_DICT1[upIndex] + "上" + GUA_DICT1[downIndex] + "下";
+
+  return {
+    guaMark: `${(guaIndex + 1).toString().padStart(2, "0")}.${guaName2}`,
+    guaTitle: `周易第${guaIndex + 1}卦`,
+    guaResult: `${guaName1}卦(${guaName2})_${guaDesc}`,
+    guaChange:
+      changeList.length === 0 ? "无变爻" : `变爻: ${changeList.toString()}`,
+  };
+}
+
+export const YAO_LABELS = ["初爻", "二爻", "三爻", "四爻", "五爻", "上爻"];
+
+export const COIN_OPTIONS = [
+  { count: 0, label: "老阴", desc: "0 正 · 变爻 ✕" },
+  { count: 1, label: "少阴", desc: "1 正" },
+  { count: 2, label: "少阳", desc: "2 正" },
+  { count: 3, label: "老阳", desc: "3 正 · 变爻 ○" },
+];
+
+export interface GuaResult {
+  list: HexagramObj[];
+  result: ResultObj;
+}