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i < values.length; i++) {\n if (i < period - 1) { result.push(NaN); continue; }\n let sum = 0;\n for (let j = 0; j < period; j++) sum += values[i - j];\n result.push(sum / period);\n }\n return result;\n}\n\n/** Exponential Moving Average */\nexport function EMA(values: number[], period: number): number[] {\n const result: number[] = [];\n const k = 2 / (period + 1);\n let ema = values[0] ?? 0;\n for (let i = 0; i < values.length; i++) {\n ema = i === 0 ? values[0] : values[i] * k + ema * (1 - k);\n result.push(ema);\n }\n return result;\n}\n\n/** Relative Strength Index */\nexport function RSI(values: number[], period = 14): number[] {\n const result: number[] = [];\n let avgGain = 0, avgLoss = 0;\n for (let i = 0; i < values.length; i++) {\n if (i === 0) { result.push(50); continue; }\n const ch = values[i] - values[i - 1];\n const gain = ch > 0 ? ch : 0;\n const loss = ch < 0 ? -ch : 0;\n if (i <= period) {\n avgGain += gain; avgLoss += loss;\n if (i === period) {\n avgGain /= period; avgLoss /= period;\n result.push(avgLoss === 0 ? 100 : 100 - 100 / (1 + avgGain / avgLoss));\n } else result.push(50);\n } else {\n avgGain = (avgGain * (period - 1) + gain) / period;\n avgLoss = (avgLoss * (period - 1) + loss) / period;\n result.push(avgLoss === 0 ? 100 : 100 - 100 / (1 + avgGain / avgLoss));\n }\n }\n return result;\n}\n\n/** Average True Range */\nexport function ATR(candles: Candle[], period = 14): number[] {\n const result: number[] = [];\n for (let i = 0; i < candles.length; i++) {\n if (i === 0) { result.push(candles[0].high - candles[0].low); continue; }\n const tr = Math.max(\n candles[i].high - candles[i].low,\n Math.abs(candles[i].high - candles[i - 1].close),\n Math.abs(candles[i].low - candles[i - 1].close),\n );\n if (i < period) {\n const avg = result.slice(0, i + 1).reduce((a, b) => a + b, 0) / (i + 1);\n result.push(avg);\n } else result.push((result[i - 1] * (period - 1) + tr) / period);\n }\n return result;\n}\n\n/** Average Directional Index (Wilder's method) */\nexport function ADX(candles: Candle[], period = 14): { adx: number[]; plusDI: number[]; minusDI: number[] } {\n const plusDM: number[] = [], minusDM: number[] = [], tr: number[] = [];\n for (let i = 0; i < candles.length; i++) {\n if (i === 0) { plusDM.push(0); minusDM.push(0); tr.push(candles[0].high - candles[0].low); continue; }\n const up = candles[i].high - candles[i - 1].high;\n const down = candles[i - 1].low - candles[i].low;\n plusDM.push(up > down && up > 0 ? up : 0);\n minusDM.push(down > up && down > 0 ? down : 0);\n tr.push(Math.max(candles[i].high - candles[i].low, Math.abs(candles[i].high - candles[i - 1].close), Math.abs(candles[i].low - candles[i - 1].close)));\n }\n const sTR: number[] = [], sPDM: number[] = [], sMDM: number[] = [];\n for (let i = 0; i < candles.length; i++) {\n if (i < period) { sTR.push(tr[i]); sPDM.push(plusDM[i]); sMDM.push(minusDM[i]); }\n else if (i === period) {\n sTR.push(tr.slice(0, period).reduce((a, b) => a + b, 0));\n sPDM.push(plusDM.slice(0, period).reduce((a, b) => a + b, 0));\n sMDM.push(minusDM.slice(0, period).reduce((a, b) => a + b, 0));\n } else {\n sTR.push(sTR[i - 1] - sTR[i - 1] / period + tr[i]);\n sPDM.push(sPDM[i - 1] - sPDM[i - 1] / period + plusDM[i]);\n sMDM.push(sMDM[i - 1] - sMDM[i - 1] / period + minusDM[i]);\n }\n }\n const plusDI: number[] = [], minusDI: number[] = [], dx: number[] = [];\n for (let i = 0; i < candles.length; i++) {\n if (sTR[i] === 0) { plusDI.push(0); minusDI.push(0); dx.push(0); continue; }\n const pdi = (sPDM[i] / sTR[i]) * 100, mdi = (sMDM[i] / sTR[i]) * 100;\n plusDI.push(pdi); minusDI.push(mdi);\n const s = pdi + mdi;\n dx.push(s === 0 ? 0 : (Math.abs(pdi - mdi) / s) * 100);\n }\n const adx: number[] = [];\n for (let i = 0; i < candles.length; i++) {\n if (i < 2 * period) adx.push(dx.slice(0, i + 1).reduce((a, b) => a + b, 0) / (i + 1));\n else adx.push((adx[i - 1] * (period - 1) + dx[i]) / period);\n }\n return { adx, plusDI, minusDI };\n}\n\n/** MACD */\nexport function MACD(values: number[], fast = 12, slow = 26, signal = 9) {\n const fastEMA = EMA(values, fast), slowEMA = EMA(values, slow);\n const macd = values.map((_, i) => fastEMA[i] - slowEMA[i]);\n const sig = EMA(macd, signal);\n return { macd, signal: sig, histogram: macd.map((m, i) => m - sig[i]) };\n}\n\n/** Bollinger Bands */\nexport function BollingerBands(values: number[], period = 20, stdDev = 2) {\n const middle = SMA(values, period);\n const upper: number[] = [], lower: number[] = [];\n for (let i = 0; i < values.length; i++) {\n if (i < period - 1) { upper.push(NaN); lower.push(NaN); continue; }\n let sum = 0;\n for (let j = 0; j < period; j++) sum += (values[i - j] - middle[i]) ** 2;\n const sd = Math.sqrt(sum / period);\n upper.push(middle[i] + stdDev * sd);\n lower.push(middle[i] - stdDev * sd);\n }\n return { upper, middle, lower };\n}\n\n/** Stochastic Oscillator */\nexport function Stochastic(candles: Candle[], kPeriod = 14, dPeriod = 3) {\n const k: number[] = [];\n for (let i = 0; i < candles.length; i++) {\n if (i < kPeriod - 1) { k.push(50); continue; }\n let hh = -Infinity, ll = Infinity;\n for (let j = 0; j < kPeriod; j++) { hh = Math.max(hh, candles[i - j].high); ll = Math.min(ll, candles[i - j].low); }\n k.push(hh === ll ? 50 : ((candles[i].close - ll) / (hh - ll)) * 100);\n }\n return { k, d: SMA(k, dPeriod) };\n}\n\n/** On Balance Volume */\nexport function OBV(candles: Candle[]): number[] {\n const r = [0];\n for (let i = 1; i < candles.length; i++) {\n if (candles[i].close > candles[i - 1].close) r.push(r[i - 1] + candles[i].volume);\n else if (candles[i].close < candles[i - 1].close) r.push(r[i - 1] - candles[i].volume);\n else r.push(r[i - 1]);\n }\n return r;\n}\n\n/** Hull Moving Average */\nexport function HMA(values: number[], period: number): number[] {\n const half = Math.floor(period / 2);\n const wma1 = WMA(values, half), wma2 = WMA(values, period);\n const diff = values.map((_, i) => 2 * wma1[i] - wma2[i]);\n return WMA(diff, Math.floor(Math.sqrt(period)));\n}\n\n/** Weighted Moving Average */\nexport function WMA(values: number[], period: number): number[] {\n const result: number[] = [];\n const denom = (period * (period + 1)) / 2;\n for (let i = 0; i < values.length; i++) {\n if (i < period - 1) { result.push(NaN); continue; }\n let sum = 0;\n for (let j = 0; j < period; j++) sum += values[i - j] * (period - j);\n result.push(sum / denom);\n }\n return result;\n}\n\n/** Commodity Channel Index */\nexport function CCI(candles: Candle[], period = 20): number[] {\n const tp = candles.map(c => (c.high + c.low + c.close) / 3);\n const sma = SMA(tp, period);\n const result: number[] = [];\n for (let i = 0; i < candles.length; i++) {\n if (i < period - 1) { result.push(0); continue; }\n let meanDev = 0;\n for (let j = 0; j < period; j++) meanDev += Math.abs(tp[i - j] - sma[i]);\n meanDev /= period;\n result.push(meanDev === 0 ? 0 : (tp[i] - sma[i]) / (0.015 * meanDev));\n }\n return result;\n}\n\n// Utility — last non-NaN value\nexport function lastVal(arr: number[]): number {\n for (let i = arr.length - 1; i >= 0; i--) if (!isNaN(arr[i])) return arr[i];\n return 0;\n}\n\n// Utility — value at index (or prev valid)\nexport function valAt(arr: number[], i: number): number {\n if (i < 0) i = arr.length - 1;\n if (i >= arr.length) i = arr.length - 1;\n for (let j = i; 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