initial

packages/shared/src/levels.ts

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+export function xpForLevel(level: number): number {
+  if (level <= 1) return 0;
+  return Math.floor(100 * Math.pow(level - 1, 1.6));
+}
+
+export function levelFromXp(totalXp: number): number {
+  let level = 1;
+  while (xpForLevel(level + 1) <= totalXp && level < 150) {
+    level++;
+  }
+  return level;
+}
+
+export function xpProgressInLevel(totalXp: number): {
+  level: number;
+  current: number;
+  needed: number;
+  percent: number;
+} {
+  const level = levelFromXp(totalXp);
+  const currentLevelXp = xpForLevel(level);
+  const nextLevelXp = xpForLevel(level + 1);
+  const current = totalXp - currentLevelXp;
+  const needed = nextLevelXp - currentLevelXp;
+  const percent = needed > 0 ? Math.min(100, (current / needed) * 100) : 100;
+  return { level, current, needed, percent };
+}