using System; using System.Collections.Generic; using System.Linq; namespace Decentralized.Domain { public enum PredictKind { Event, Faction, Purity, Price, Gas, Cra, Era } public enum PredictResult { Ok, Closed, Amount, Funds, Cap, Opposite, NoPosition } /// /// 一个盘口:问一个是非题,开盘当天可以买卖,窗口(FromDay..ToDay)里的结果由游戏或本 mod 的数值决定,ToDay 夜间结算。 /// 定价用 LMSR:初始价等于先验概率 P0,流动性参数 B 按开盘日的单盘额度()定,与先验无关; /// 额度决定份额上限(限制内幕单能赚多少)和内幕消息的价格。 /// public sealed class PredictMarket { public int Id; public PredictKind Kind; /// 事件 / 派系标识;纯度盘是 "gutter" 或 "rust";行情盘是 "PSC"。 public string Key, Title; /// 阈值(纯度、价格盘)。 public double Param; public int OpenDay, FromDay, ToDay; public double P0, B, QYes, QNo; /// 单盘额度(开盘日的 )。旧存档里的盘口没有这个字段,按当时"额度 = B × ln(1/先验)"回推。 public double Budget; /// 昨晚消息反应之前的价格(-1 = 还没反应过):列表里显示涨跌,让玩家看到消息怎样推动价格。 public double PrevP = -1; /// -1 未结算,0 否,1 是,2 作废(缺观测数据,退还本金)。 public int Outcome = -1; public double Loss => Budget > 0 ? Budget : B * Math.Log(1 / Math.Min(P0, 1 - P0)); public double ShareCap => Tuning.PredictCap * Loss; public bool IsOpen(int day) => Outcome < 0 && day < FromDay; public double PYes => 1 / (1 + Math.Exp((QNo - QYes) / B)); public static double LossFor(int day) => Tuning.PredictLoss0 + Tuning.PredictLossPerDay * day; public static PredictMarket Create(int id, PredictKind kind, string key, string title, double param, int openDay, int fromDay, int toDay, double p0) { p0 = Math.Max(Tuning.PredictPMin, Math.Min(Tuning.PredictPMax, p0)); double budget = LossFor(openDay), b = Tuning.PredictDepth * budget / Math.Log(2); return new PredictMarket { Id = id, Kind = kind, Key = key, Title = title, Param = param, OpenDay = openDay, FromDay = fromDay, ToDay = toDay, P0 = p0, B = b, Budget = budget, QYes = b * Math.Log(p0 / (1 - p0)) }; } /// LMSR 成本函数(数值稳定写法)。 public double C(double qy, double qn) { double m = Math.Max(qy, qn); return m + B * Math.Log(Math.Exp((qy - m) / B) + Math.Exp((qn - m) / B)); } /// 某一边买入 shares 份要付的成本(不含手续费)。 public double BuyCost(bool yes, double shares) => yes ? C(QYes + shares, QNo) - C(QYes, QNo) : C(QYes, QNo + shares) - C(QYes, QNo); /// 某一边卖出 shares 份能收回的金额(不含手续费)。 public double SellValue(bool yes, double shares) => yes ? C(QYes, QNo) - C(QYes - shares, QNo) : C(QYes, QNo) - C(QYes, QNo - shares); /// 花 cost(不含手续费)能买到的份数:LMSR 成本函数的闭式反解。 public double SharesFor(bool yes, double cost) { double y = yes ? QYes : QNo, o = yes ? QNo : QYes; double m = Math.Max(y, o); double a = Math.Exp((y - m) / B), oo = Math.Exp((o - m) / B); double x = Math.Exp(Math.Min(cost / B, 700)) * (a + oo) - oo; return m + B * Math.Log(x) - y; } public double PriceOf(bool yes) => yes ? PYes : 1 - PYes; } /// 玩家在某个盘口的持仓(一个盘口只能持有一边)。Insider 是内幕单买入的份数。 public sealed class PredictPos { public int Market; /// 持仓所在的钱包地址(下注签名的钱包,结算和卖出都回到它)。 public string Wallet; public bool Yes; public double Shares, Cost, Taint, Basis, Insider; } /// 情报贩子卖的内幕消息:对某个盘口给出"是 / 否"的说法,三档准确率,可能是假的(与真相相反)。 public sealed class PredictTip { public int Market, Tier; public bool Claim; public double Paid; } public sealed class PredictStat { public int Count, Hits; public double SumP0; public double AvgP0 => Count > 0 ? SumP0 / Count : 0; public double HitRate => Count > 0 ? Hits / (double)Count : 0; } /// 一次夜间价格反应。 public sealed class PredictMove { public PredictMarket Market; public double From, To; } /// 结算记录(盘口列表下面的"最近结果")。 public sealed class PredictRecord { public int Day; public string Title; public int Outcome; public double Pnl; public bool Held; } /// 夜间结算发生的事。Kind:win / lose / void / insider(内幕份额记了污点)/ manip(被判操纵,整笔兑付记了污点)。 /// Amount 是兑付或本金;Taint 是实际加上的污点,Over 是超出钱包价值、折成罪证的部分,Fraud 是罪证。 public sealed class PredictEvent { public string Kind, Title; public PredictMarket Market; public double Amount, Taint, Over, Fraud; } /// 候选盘口(接入层按游戏当前状态给出):先验概率按窗口算。 public sealed class PredictCandidate { public PredictKind Kind; public string Key, Title; public double Param; /// true:只问明天一天(纯度盘)。 public bool Tomorrow; public Func Prob; } public sealed class PredictBook { public List Markets = new List(); public List Positions = new List(); public List Recent = new List(); public List Tips = new List(); /// 按盘口类型的历史:开过几个、开盘价之和、实际发生几次。玩家据此看出哪类盘口系统性地定价偏高或偏低。 public Dictionary Stats = new Dictionary(); public int Seq; /// 每晚观测:当天新出现的事件标识(和 "F:派系")。窗口里缺任何一天的观测,盘口作废退款。 public Dictionary> Started = new Dictionary>(); public List Prev; public PredictMarket Find(int id) => Markets.Find(m => m.Id == id); public PredictPos PosOf(int id, string wallet) => Positions.Find(p => p.Market == id && p.Wallet == wallet); public List PosAll(int id) => Positions.Where(p => p.Market == id).ToList(); private static double Share(Wallet acct, double amount, Func price) { double total = acct.Value(price); return total > 0 ? Math.Min(1, amount * price(Assets.CRC) / total) : 0; } /// /// 买入:花 spend(含手续费)的 CRC。污点与成本按花掉的价值比例随资金进持仓。insider:这笔单下单时玩家已经知道答案(传闻纸条、派系特权)。 /// public PredictResult Buy(Wallet acct, PredictMarket m, bool yes, double spend, int day, Func pr, bool insider, out double shares) { shares = 0; if (!m.IsOpen(day)) return PredictResult.Closed; if (spend <= 0) return PredictResult.Amount; if (acct.Avail(Assets.CRC) + 1e-9 < spend) return PredictResult.Funds; var all = PosAll(m.Id); if (all.Any(x => x.Yes != yes)) return PredictResult.Opposite; var pos = PosOf(m.Id, acct.Address); double cost = spend / (1 + Tuning.PredictFee); shares = m.SharesFor(yes, cost); if (all.Sum(x => x.Shares) + shares > m.ShareCap + 1e-9) { shares = 0; return PredictResult.Cap; } double share = Share(acct, spend, pr); double taint = acct.Taint * share, basis = acct.Basis * share; acct.Add(Assets.CRC, -spend); acct.Taint -= taint; acct.Basis -= basis; if (yes) m.QYes += shares; else m.QNo += shares; if (pos == null) Positions.Add(pos = new PredictPos { Market = m.Id, Yes = yes, Wallet = acct.Address }); pos.Shares += shares; pos.Cost += cost; pos.Taint += taint; pos.Basis += basis; if (insider) pos.Insider += shares; return PredictResult.Ok; } /// 全部卖出这个钱包在盘口里的持仓(盘口关闭前):收回 LMSR 的卖价减手续费,污点按比例退回,赚的部分是干净的。返回收回的 CRC。 public PredictResult SellAll(Wallet acct, PredictMarket m, int day, Func price, out double got) => SellAll(acct, m, day, price, out got, out _, out _); /// /// 全部卖出;持仓里的内幕份额(下单时已经知道答案)对应的那部分卖出所得记污点(带上限,见 ), /// taint 是实际加上的污点,over 是超出钱包价值、没加进去的部分(由调用方按 折成罪证)。先买后卖、赶在结算前离场也一样。 /// public PredictResult SellAll(Wallet acct, PredictMarket m, int day, Func price, out double got, out double taint, out double over) { got = 0; taint = 0; over = 0; var pos = PosOf(m.Id, acct.Address); if (pos == null) return PredictResult.NoPosition; if (!m.IsOpen(day)) return PredictResult.Closed; double value = m.SellValue(pos.Yes, pos.Shares); got = value * (1 - Tuning.PredictFee); if (pos.Yes) m.QYes -= pos.Shares; else m.QNo -= pos.Shares; Positions.Remove(pos); Pay(acct, pos, got); over = MarkInsider(acct, pos, got, price, out taint); return PredictResult.Ok; } private static void Pay(Wallet acct, PredictPos pos, double payout) { double keep = pos.Cost > 0 ? Math.Min(1, payout / pos.Cost) : 0; acct.Add(Assets.CRC, payout); acct.Taint += pos.Taint * keep; acct.Basis += pos.Basis * keep; } /// 内幕份额对应的兑付记污点(带上限)。taint 是实际加上的污点,返回超出钱包价值、没加进去的部分。 private static double MarkInsider(Wallet acct, PredictPos pos, double payout, Func price, out double taint) { taint = 0; if (pos.Insider <= 0 || pos.Shares <= 0 || payout <= 0) return 0; double amount = payout * Math.Min(1, pos.Insider / pos.Shares); double over = acct.AddTaintCapped(amount, price); taint = amount - over; return over; } /// /// 夜间:先登记今晚的观测,再结算 ToDay 到了的盘口(赢的钱回到下注的钱包,wallet 按地址找)。outcome 由接入层给出(事件 / 派系读观测,纯度和行情读游戏数值),null 表示拿不到数据。 /// 赢家每份兑付 1 信用点,照常兑付;内幕份额对应的兑付记污点,行情盘被判操纵时整笔兑付记污点(都带上限,超出钱包价值的部分折成罪证)。 /// public List Night(int day, IEnumerable activeNow, Func outcome, Func wallet, Func price, Rng rng, double push = 0) { var now = activeNow.Distinct().ToList(); if (Prev != null) Started[day] = now.Where(x => !Prev.Contains(x)).ToList(); Prev = now; foreach (var k in Started.Keys.Where(k => k < day - 12).ToList()) Started.Remove(k); var evs = new List(); foreach (var m in Markets.Where(x => x.Outcome < 0 && x.ToDay <= day).ToList()) { bool? res = outcome(m); var all = PosAll(m.Id); foreach (var pos in all) Positions.Remove(pos); double cost = all.Sum(x => x.Cost); if (res == null) { m.Outcome = 2; foreach (var pos in all) Pay(wallet(pos.Wallet), pos, pos.Cost); if (all.Count > 0) evs.Add(new PredictEvent { Kind = "void", Title = m.Title, Market = m, Amount = cost }); Record(day, m, 2, 0, all.Count > 0); continue; } m.Outcome = res.Value ? 1 : 0; string sk = m.Kind.ToString(); if (!Stats.TryGetValue(sk, out var st)) Stats[sk] = st = new PredictStat(); st.Count++; st.SumP0 += m.P0; if (res.Value) st.Hits++; var winners = all.Where(x => x.Yes == res.Value).ToList(); if (all.Count > 0 && winners.Count == 0) { evs.Add(new PredictEvent { Kind = "lose", Title = m.Title, Market = m, Amount = cost }); Record(day, m, m.Outcome, -cost, true); } else if (winners.Count > 0) { double payout = winners.Sum(x => x.Shares), profit = payout - cost; // 操纵:行情盘上,赢家的方向和玩家推价的方向一致时按推价幅度被查——照常兑付,整笔兑付记污点 bool manip = m.Kind == PredictKind.Price && winners.Any(x => x.Yes ? push > 0 : push < 0) && rng.Chance(Math.Min(1, Market.ManipChance(push) * StoryMods.Current.Enforce(day))); double taint = 0, over = 0; foreach (var pos in winners) { var w = wallet(pos.Wallet); Pay(w, pos, pos.Shares); if (manip) { double o = w.AddTaintCapped(pos.Shares, price); taint += pos.Shares - o; over += o; } else { // 内幕份额(下单时已经知道答案)对应的兑付记污点,每个钱包各算各的 over += MarkInsider(w, pos, pos.Shares, price, out double t); taint += t; } } string kind = manip ? "manip" : taint + over > 1e-9 ? "insider" : "win"; evs.Add(new PredictEvent { Kind = kind, Title = m.Title, Market = m, Amount = payout, Taint = taint, Over = over, Fraud = Wallet.OverflowFraud(over) }); Record(day, m, m.Outcome, profit, true); } else Record(day, m, m.Outcome, 0, false); } Markets.RemoveAll(m => m.Outcome >= 0); Tips.RemoveAll(t => Find(t.Market) == null); return evs; } private void Record(int day, PredictMarket m, int outcome, double pnl, bool held) { Recent.Add(new PredictRecord { Day = day, Title = m.Title, Outcome = outcome, Pnl = pnl, Held = held }); while (Recent.Count > Tuning.PredictHistory) Recent.RemoveAt(0); } public PredictTip TipFor(int market) => Tips.Find(t => t.Market == market); /// 造一条内幕消息:假情报(概率 IntelFake)说的与真相相反,否则按这一档的准确率说对或说错。 public static PredictTip MakeTip(PredictMarket m, bool truth, int tier, Rng rng) { bool claim; if (rng.Chance(Tuning.IntelFake)) claim = !truth; else claim = rng.Chance(Tuning.IntelTipAcc[tier]) ? truth : !truth; return new PredictTip { Market = m.Id, Tier = tier, Claim = claim, Paid = Tuning.IntelTipPrice[tier] * m.Loss }; } /// /// 夜间的消息反应:还能交易的盘口(明天仍开着)向"公开信息下的合理概率"靠拢 PredictDrift,再加 logit 噪声(NPC 流量)。 /// 价格在夜里才反应,所以白天先看到报纸、传闻的人可以抢在前面买、等涨价再卖。target 返回 null 表示这个盘口没有新信息。 /// public List Drift(int day, Func target, Rng rng) { var moves = new List(); foreach (var m in Markets.Where(x => x.Outcome < 0 && x.FromDay > day + 1)) { m.PrevP = m.PYes; double p = m.PYes, t = target(m) ?? p; t = Math.Max(Tuning.PredictPMin, Math.Min(Tuning.PredictPMax, t)); double pt = p + Tuning.PredictDrift * (t - p); double lp = Math.Log(pt / (1 - pt)) + Tuning.PredictNoise * rng.Gauss(); pt = Math.Max(Tuning.PredictPMin, Math.Min(Tuning.PredictPMax, 1 / (1 + Math.Exp(-lp)))); m.QYes = m.QNo + m.B * Math.Log(pt / (1 - pt)); moves.Add(new PredictMove { Market = m, From = m.PrevP, To = m.PYes }); } return moves; } /// 读观测:窗口里每一天都有记录才能判断;有任何一天缺就返回 null(作废)。 public bool? Happened(PredictMarket m) { string tag = m.Kind == PredictKind.Faction ? "F:" + m.Key : m.Key; bool any = false; for (int d = m.FromDay; d <= m.ToDay; d++) { if (!Started.TryGetValue(d, out var list)) return null; if (list.Contains(tag)) any = true; } return any; } /// /// 每天开门后补盘:开放的盘口少于下限时补到下限,之后每天再随机新开一两个,总数不超过上限。同类同键的盘口不重复开。 /// 返回新开的盘口。 /// public List Refill(int day, Rng rng, IList candidates) { var made = new List(); int open = Markets.Count(m => m.Outcome < 0); int want = open < Tuning.PredictOpenMin ? Tuning.PredictOpenMin - open : 0; want = Math.Max(want, rng.Range(1, Tuning.PredictNewPerDay)); want = Math.Min(want, Tuning.PredictOpenMax - open); var pool = candidates.Where(c => !Markets.Any(m => m.Outcome < 0 && m.Kind == c.Kind && m.Key == c.Key)).ToList(); while (want-- > 0 && pool.Count > 0) { var c = pool[rng.Range(0, pool.Count - 1)]; pool.RemoveAll(x => x.Kind == c.Kind && x.Key == c.Key); int from = c.Tomorrow ? day + 1 : day + 1 + rng.Range(0, 2); int to = c.Tomorrow ? from : from + rng.Range(0, 2); var m = PredictMarket.Create(++Seq, c.Kind, c.Key, c.Title, c.Param, day, from, to, c.Prob(from, to)); Markets.Add(m); made.Add(m); } return made; } } /// 盘口先验概率:事件按游戏的掷骰规则,纯度按均匀分布,行情按本 mod 的价格过程。 public static class PredictMath { /// 某个常规事件在窗口里出现的概率:每天先过"有事件"这一关(chance),再按权重在可选事件里抽中。 public static double EventProb(double dayChance, double odd, double totalOdd, int days) { double p1 = totalOdd > 0 ? dayChance * odd / totalOdd : 0; return 1 - Math.Pow(1 - p1, days); } /// 某天 gas 不低于阈值的概率(已知相位):周期值 × (1 ± 噪声) 均匀分布。 public static double GasAtLeast(int day, int phase, double threshold) { double c = TxRules.GasCycle(day, phase), hi = c * (1 + Tuning.TxGasNoise), lo = c * (1 - Tuning.TxGasNoise); return Math.Max(0, Math.Min(1, (hi - threshold) / (hi - lo))); } /// 不知道相位时的先验:七个相位等可能。 public static double GasFlat(int day, double threshold) { double s = 0; for (int ph = 0; ph < Tuning.TxGasPeriod; ph++) s += GasAtLeast(day, ph, threshold); return s / Tuning.TxGasPeriod; } /// /// CRA 预警在 [from, to] 夜里发出的概率:每晚补贴池先被消耗,归零那晚必发,否则按日概率; /// 窗口之前已经发出的不算(那就是"否")。subsidy / drain 是今天的补贴池和每晚消耗,today 是今晚。 /// public static double CraWarnProb(double subsidy, double drain, int today, int from, int to, double dailyHazard) { double noWarn = 1, inWindow = 0; for (int d = today; d <= to; d++) { subsidy -= drain; double h = subsidy <= 0 ? 1 : dailyHazard; if (d >= from) inWindow += noWarn * h; noWarn *= 1 - h; } return inWindow; } /// /// 矿机时代在 [from, to] 开始的概率:没出预警时在 [eraMin, eraMax] 里均匀;预警已出(warnDay >= 0)时落在预警后 EraWarnMin..EraWarnMax 天。 /// 只算还没过去的日子(today 之后)。 /// public static double EraProb(int today, int from, int to, int warnDay) { int lo = warnDay >= 0 ? warnDay + Tuning.EraWarnMin : Tuning.EraMin, hi = warnDay >= 0 ? warnDay + Tuning.EraWarnMax : Tuning.EraMax; lo = Math.Max(lo, today + 1); if (hi < lo) return 0; int a = Math.Max(lo, from), b = Math.Min(hi, to); return b < a ? 0 : (b - a + 1) / (double)(hi - lo + 1); } public static double FactionProb(int days) => 1 - Math.Pow(1 - Tuning.PredictFactionDaily, days); /// 均匀整数 lo..hi 里不低于 threshold 的概率。 public static double PurityAtLeast(double threshold, int lo, int hi) { double n = hi - lo + 1, k = hi - Math.Ceiling(threshold) + 1; return Math.Max(0, Math.Min(1, k / n)); } public static double Phi(double x) { double t = 1 / (1 + 0.2316419 * Math.Abs(x)); double d = 0.3989423 * Math.Exp(-x * x / 2); double p = d * t * (0.3193815 + t * (-0.3565638 + t * (1.781478 + t * (-1.821256 + t * 1.330274)))); return x > 0 ? 1 - p : p; } /// /// 价格在 nights 个夜晚之后(每晚向锚回归 revert、加 vol 的对数噪声,每个早上再加 vol/2 的开门波动)不低于 threshold 的概率。 /// 对数价格近似正态;锚按今天的值外推(事件和减半的变化不计)。 /// public static double PriceAtLeast(double price, double anchor, double vol, double revert, int nights, double threshold) { double m = Math.Log(price), la = Math.Log(anchor), v = 0; for (int i = 0; i < nights; i++) { m += revert * (la - m); v = (1 - revert) * (1 - revert) * v + vol * vol + vol * vol / 4; } double sd = Math.Sqrt(Math.Max(v, 1e-12)); return 1 - Phi((Math.Log(threshold) - m) / sd); } } }