#!/usr/bin/env -S node const sqlite3 = require("better-sqlite3") const db = new sqlite3("db") const SQL_SELECT_GAMES = db.prepare("select * from rated_games_view order by mtime") const SQL_SELECT_RATING = db.prepare("select * from player_rating_view where game_id=?") const SQL_INSERT_RATING = db.prepare("insert or replace into ratings (title_id,user_id,rating,count,last) values (?,?,?,?,?)") function elo_k(n) { return n < 10 ? 60 : 30 } function elo_ev(a, players) { // Generalized formula for multiple players. // https://arxiv.org/pdf/2104.05422.pdf let sum = 0 for (let p of players) sum += Math.pow(10, p.rating / 400) return Math.pow(10, a.rating / 400) / sum } function elo_change(a, players, s) { return Math.round(elo_k(a.count) * (s - elo_ev(a, players))) } function update_elo_ratings(game) { let players = SQL_SELECT_RATING.all(game.game_id) if (game.player_count !== players.length) return let winner = null for (let p of players) if (p.role === game.result) winner = p if (winner) { for (let p of players) { if (p === winner) p.change = elo_change(p, players, 1) else p.change = elo_change(p, players, 0) } } else { for (let p of players) p.change = elo_change(p, players, 1 / game.player_count) } for (let p of players) SQL_INSERT_RATING.run(game.title_id, p.user_id, p.rating + p.change, p.count+1, game.xtime) } db.exec("begin transaction") db.exec("delete from ratings") for (let game of SQL_SELECT_GAMES.all()) update_elo_ratings(game) db.exec("commit")