feat(renown): add the Renown power-curve table and reputation-rank resolver

apps/api/src/renown/renown-base-stats.spec.ts

@@ -0,0 +1,29 @@
+import { RENOWN_BASE_STATS, RENOWN_MAX, RENOWN_MIN } from './renown-base-stats';
+
+describe('RENOWN_BASE_STATS', () => {
+  it('spans exactly Renown 1 through 15', () => {
+    expect(RENOWN_MIN).toBe(1);
+    expect(RENOWN_MAX).toBe(15);
+    expect(Object.keys(RENOWN_BASE_STATS).map(Number).sort((a, b) => a - b)).toEqual(
+      Array.from({ length: 15 }, (_, i) => i + 1),
+    );
+  });
+
+  it('matches the exact V1 reference table from spec §4', () => {
+    expect(RENOWN_BASE_STATS[1]).toEqual({ baseHp: 100, baseAttack: 6 });
+    expect(RENOWN_BASE_STATS[5]).toEqual({ baseHp: 114, baseAttack: 8 });
+    expect(RENOWN_BASE_STATS[10]).toEqual({ baseHp: 132, baseAttack: 10 });
+    expect(RENOWN_BASE_STATS[15]).toEqual({ baseHp: 148, baseAttack: 12 });
+  });
+
+  it('is monotonically non-decreasing in both stats as Renown increases', () => {
+    for (let renown = 2; renown <= 15; renown += 1) {
+      expect(RENOWN_BASE_STATS[renown].baseHp).toBeGreaterThanOrEqual(
+        RENOWN_BASE_STATS[renown - 1].baseHp,
+      );
+      expect(RENOWN_BASE_STATS[renown].baseAttack).toBeGreaterThanOrEqual(
+        RENOWN_BASE_STATS[renown - 1].baseAttack,
+      );
+    }
+  });
+});

apps/api/src/renown/renown-base-stats.ts

@@ -0,0 +1,24 @@
+export const RENOWN_MIN = 1;
+export const RENOWN_MAX = 15;
+
+// Verbatim from Playable Slice 0.6.5 spec §4. Distributes the old Level 1-7
+// total base-stat progression (100 HP / 6 Attack -> 148 HP / 12 Attack)
+// across Renown 1-15. RenownService looks this up on every milestone
+// completion; it is never incremented, only reassigned by rank (design R2).
+export const RENOWN_BASE_STATS: Record<number, { baseHp: number; baseAttack: number }> = {
+  1: { baseHp: 100, baseAttack: 6 },
+  2: { baseHp: 104, baseAttack: 6 },
+  3: { baseHp: 107, baseAttack: 7 },
+  4: { baseHp: 111, baseAttack: 7 },
+  5: { baseHp: 114, baseAttack: 8 },
+  6: { baseHp: 118, baseAttack: 8 },
+  7: { baseHp: 121, baseAttack: 9 },
+  8: { baseHp: 125, baseAttack: 9 },
+  9: { baseHp: 128, baseAttack: 9 },
+  10: { baseHp: 132, baseAttack: 10 },
+  11: { baseHp: 135, baseAttack: 10 },
+  12: { baseHp: 139, baseAttack: 11 },
+  13: { baseHp: 142, baseAttack: 11 },
+  14: { baseHp: 145, baseAttack: 11 },
+  15: { baseHp: 148, baseAttack: 12 },
+};