新增数学思维自学板块与考试板块(9模块154课+初一上5套真实试卷客观题)

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>

src/lib/math-weekly.ts

@@ -0,0 +1,61 @@
+// xuchao: 数学每周检测——从已点亮数学课的题池 seeded 抽 10 题
+import { and, eq } from "drizzle-orm";
+import { db } from "@/db";
+import { mathPoints, mathProgress, mathWeeklyTest } from "@/db/schema";
+import { extractQuiz, type QuizQ } from "@/lib/quiz-parse";
+import { todayStr, weekKey } from "@/lib/dates";
+
+export const currentMathWeekKey = () => weekKey(todayStr());
+
+// xuchao: 确定性随机(同 seed 每次得到相同组卷,渲染与判分一致)
+function hashStr(s: string): number {
+  let h = 5381;
+  for (let i = 0; i < s.length; i++) h = ((h << 5) + h + s.charCodeAt(i)) >>> 0;
+  return h >>> 0;
+}
+function mulberry32(a: number) {
+  return () => {
+    a |= 0;
+    a = (a + 0x6d2b79f5) | 0;
+    let t = Math.imul(a ^ (a >>> 15), 1 | a);
+    t = (t + Math.imul(t ^ (t >>> 7), 61 | t)) ^ t;
+    return ((t ^ (t >>> 14)) >>> 0) / 4294967296;
+  };
+}
+function seededSample<T>(arr: T[], seed: string, n: number): T[] {
+  const rnd = mulberry32(hashStr(seed));
+  const pool = [...arr];
+  for (let i = pool.length - 1; i > 0; i--) {
+    const j = Math.floor(rnd() * (i + 1));
+    [pool[i], pool[j]] = [pool[j], pool[i]];
+  }
+  return pool.slice(0, n);
+}
+
+// xuchao: 从已点亮数学课组卷;题池不足 5 题时用计算模块兜底
+export async function buildMathWeeklyQuestions(childId: number, wk: string): Promise<QuizQ[]> {
+  const lit = await db
+    .select({ pointId: mathProgress.pointId })
+    .from(mathProgress)
+    .where(and(eq(mathProgress.childUserId, childId), eq(mathProgress.passed, true)));
+  const litIds = new Set(lit.map((r) => r.pointId));
+
+  const all = await db.select().from(mathPoints);
+  let pool: QuizQ[] = [];
+  for (const p of all) {
+    if (litIds.has(p.pointId)) pool.push(...extractQuiz(p.md));
+  }
+  if (pool.length < 5) {
+    for (const p of all) if (p.module === "calc") pool.push(...extractQuiz(p.md));
+  }
+  return seededSample(pool, `${childId}:math:${wk}`, 10);
+}
+
+export async function getMathWeeklyRecord(childId: number, wk: string) {
+  const [row] = await db
+    .select()
+    .from(mathWeeklyTest)
+    .where(and(eq(mathWeeklyTest.childUserId, childId), eq(mathWeeklyTest.weekKey, wk)))
+    .limit(1);
+  return row ?? null;
+}